binegar@lie:/data/AtlasDataXX$ ls
[0m[01;34m00-AtlasInputFiles[0m [01;32mMkAtlasDataDirs.sh[0m [01;32mMkAtlasData.sh[0m
[01;34m00-Programs[0m [01;32mMkAtlasDataLinks.sh[0m screenlog.0
[mbinegar@lie:/data/AtlasDataXX$ ./Mka[KAtlasDataDirs.sh
binegar@lie:/data/AtlasDataXX$ ./MkAtlasData.sh
SU(2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: su(2)
1: sl(2,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SL2/SU(2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL2/SU(2)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SL2/SU(2)/kgborder
real: block
there is a unique dual real form choice: sl(2,R)
Name an output file (return for stdout, ? to abandon): SL2/SU(2)/PGL(2,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): SL2/SU(2)/PGL(2,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): SL2/SU(2)/PGL(2,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): SL2/SU(2)/PGL(2,R)/kllis
t
block: blockwrite
File name for block output: SL2/SU(2)/PGL(2,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL2/SU(2)/PGL(2,R)/mat.bin
File name for polynomial output: SL2/SU(2)/PGL(2,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(2,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: su(2)
1: sl(2,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SL2/SL(2,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL2/SL(2,R)/KGB
real: kgborder
kgbsize: 3
Name an output file (return for stdout, ? to abandon): SL2/SL(2,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(2)
1: sl(2,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SL2/SL(2,R)/PU(2)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SL2/SL(2,R)/PU(2)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SL2/SL(2,R)/PU(2)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SL2/SL(2,R)/PU(2)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SL2/SL(2,R)/PU(2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL2/SL(2,R)/PU(2)/mat.bin
File name for polynomial output: SL2/SL(2,R)/PU(2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(2)
1: sl(2,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SL2/SL(2,R)/PGL(2,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL2/SL(2,R)/PGL(2,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL2/SL(2,R)/PGL(2,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL2/SL(2,R)/PGL(2,R)/kll
ist
block: blockwrite
File name for block output: SL2/SL(2,R)/PGL(2,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL2/SL(2,R)/PGL(2,R)/mat.bin
File name for polynomial output: SL2/SL(2,R)/PGL(2,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(2,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: sl(2,C)
Name an output file (return for stdout, ? to abandon): SL2/SL(2,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL2/SL(2,C)/KGB
real: kgborder
kgbsize: 2
Name an output file (return for stdout, ? to abandon): SL2/SL(2,C)/kgborder
real: block
there is a unique dual real form choice: sl(2,C)
Name an output file (return for stdout, ? to abandon): SL2/SL(2,C)/PGL(2,C)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL2/SL(2,C)/PGL(2,C)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL2/SL(2,C)/PGL(2,C)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL2/SL(2,C)/PGL(2,C)/kll
ist
block: blockwrite
File name for block output: SL2/SL(2,C)/PGL(2,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL2/SL(2,C)/PGL(2,C)/mat.bin
File name for polynomial output: SL2/SL(2,C)/PGL(2,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A2
elements of finite order in the center of the simply connected group:
Z/3
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(3)
1: su(2,1)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SL3/SU(3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL3/SU(3)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SL3/SU(3)/kgborder
real: block
there is a unique dual real form choice: sl(3,R)
Name an output file (return for stdout, ? to abandon): SL3/SU(3)/PGL(3,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): SL3/SU(3)/PGL(3,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): SL3/SU(3)/PGL(3,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): SL3/SU(3)/PGL(3,R)/kllis
t
block: blockwrite
File name for block output: SL3/SU(3)/PGL(3,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL3/SU(3)/PGL(3,R)/mat.bin
File name for polynomial output: SL3/SU(3)/PGL(3,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(2,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A2
elements of finite order in the center of the simply connected group:
Z/3
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(3)
1: su(2,1)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SL3/SU(2,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL3/SU(2,1)/KGB
real: kgborder
kgbsize: 6
Name an output file (return for stdout, ? to abandon): SL3/SU(2,1)/kgborder
real: block
there is a unique dual real form choice: sl(3,R)
Name an output file (return for stdout, ? to abandon): SL3/SU(2,1)/PGL(3,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL3/SU(2,1)/PGL(3,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL3/SU(2,1)/PGL(3,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL3/SU(2,1)/PGL(3,R)/kll
ist
block: blockwrite
File name for block output: SL3/SU(2,1)/PGL(3,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL3/SU(2,1)/PGL(3,R)/mat.bin
File name for polynomial output: SL3/SU(2,1)/PGL(3,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(3,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A2
elements of finite order in the center of the simply connected group:
Z/3
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
there is a unique real form: sl(3,R)
real: cartan
Name an output file (return for stdout, ? to abandon): SL3/SL(3,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL3/SL(3,R)/KGB
real: kgborder
kgbsize: 4
Name an output file (return for stdout, ? to abandon): SL3/SL(3,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(3)
1: su(2,1)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SL3/SL(3,R)/PU(3)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SL3/SL(3,R)/PU(3)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SL3/SL(3,R)/PU(3)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SL3/SL(3,R)/PU(3)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SL3/SL(3,R)/PU(3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL3/SL(3,R)/PU(3)/mat.bin
File name for polynomial output: SL3/SL(3,R)/PU(3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(3)
1: su(2,1)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SL3/SL(3,R)/PU(2,1)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL3/SL(3,R)/PU(2,1)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL3/SL(3,R)/PU(2,1)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL3/SL(3,R)/PU(2,1)/klli
st
block: blockwrite
File name for block output: SL3/SL(3,R)/PU(2,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL3/SL(3,R)/PU(2,1)/mat.bin
File name for polynomial output: SL3/SL(3,R)/PU(2,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(3,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A2.A2
elements of finite order in the center of the simply connected group:
Z/3.Z/3
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: sl(3,C)
Name an output file (return for stdout, ? to abandon): SL3/SL(3,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL3/SL(3,C)/KGB
real: kgborder
kgbsize: 6
Name an output file (return for stdout, ? to abandon): SL3/SL(3,C)/kgborder
real: block
there is a unique dual real form choice: sl(3,C)
Name an output file (return for stdout, ? to abandon): SL3/SL(3,C)/PGL(3,C)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL3/SL(3,C)/PGL(3,C)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL3/SL(3,C)/PGL(3,C)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL3/SL(3,C)/PGL(3,C)/kll
ist
block: blockwrite
File name for block output: SL3/SL(3,C)/PGL(3,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL3/SL(3,C)/PGL(3,C)/mat.bin
File name for polynomial output: SL3/SL(3,C)/PGL(3,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SL4/SU(4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL4/SU(4)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SL4/SU(4)/kgborder
real: block
there is a unique dual real form choice: sl(4,R)
Name an output file (return for stdout, ? to abandon): SL4/SU(4)/PGL(4,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): SL4/SU(4)/PGL(4,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): SL4/SU(4)/PGL(4,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): SL4/SU(4)/PGL(4,R)/kllis
t
block: blockwrite
File name for block output: SL4/SU(4)/PGL(4,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL4/SU(4)/PGL(4,R)/mat.bin
File name for polynomial output: SL4/SU(4)/PGL(4,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(3,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SL4/SU(3,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL4/SU(3,1)/KGB
real: kgborder
kgbsize: 10
Name an output file (return for stdout, ? to abandon): SL4/SU(3,1)/kgborder
real: block
there is a unique dual real form choice: sl(4,R)
Name an output file (return for stdout, ? to abandon): SL4/SU(3,1)/PGL(4,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL4/SU(3,1)/PGL(4,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL4/SU(3,1)/PGL(4,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL4/SU(3,1)/PGL(4,R)/kll
ist
block: blockwrite
File name for block output: SL4/SU(3,1)/PGL(4,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL4/SU(3,1)/PGL(4,R)/mat.bin
File name for polynomial output: SL4/SU(3,1)/PGL(4,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(2,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SL4/SU(2,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL4/SU(2,2)/KGB
real: kgborder
kgbsize: 21
Name an output file (return for stdout, ? to abandon): SL4/SU(2,2)/kgborder
real: block
possible (weak) dual real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SL4/SU(2,2)/PGL(2,H)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL4/SU(2,2)/PGL(2,H)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL4/SU(2,2)/PGL(2,H)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL4/SU(2,2)/PGL(2,H)/kll
ist
block: blockwrite
File name for block output: SL4/SU(2,2)/PGL(2,H)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL4/SU(2,2)/PGL(2,H)/mat.bin
File name for polynomial output: SL4/SU(2,2)/PGL(2,H)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SL4/SU(2,2)/PGL(4,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL4/SU(2,2)/PGL(4,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL4/SU(2,2)/PGL(4,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL4/SU(2,2)/PGL(4,R)/kll
ist
block: blockwrite
File name for block output: SL4/SU(2,2)/PGL(4,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL4/SU(2,2)/PGL(4,R)/mat.bin
File name for polynomial output: SL4/SU(2,2)/PGL(4,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(4,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SL4/SL(4,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL4/SL(4,R)/KGB
real: kgborder
kgbsize: 13
Name an output file (return for stdout, ? to abandon): SL4/SL(4,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SL4/SL(4,R)/PU(4)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SL4/SL(4,R)/PU(4)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SL4/SL(4,R)/PU(4)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SL4/SL(4,R)/PU(4)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SL4/SL(4,R)/PU(4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL4/SL(4,R)/PU(4)/mat.bin
File name for polynomial output: SL4/SL(4,R)/PU(4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SL4/SL(4,R)/PU(3,1)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL4/SL(4,R)/PU(3,1)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL4/SL(4,R)/PU(3,1)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL4/SL(4,R)/PU(3,1)/klli
st
block: blockwrite
File name for block output: SL4/SL(4,R)/PU(3,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL4/SL(4,R)/PU(3,1)/mat.bin
File name for polynomial output: SL4/SL(4,R)/PU(3,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SL4/SL(4,R)/PU(2,2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL4/SL(4,R)/PU(2,2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL4/SL(4,R)/PU(2,2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL4/SL(4,R)/PU(2,2)/klli
st
block: blockwrite
File name for block output: SL4/SL(4,R)/PU(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL4/SL(4,R)/PU(2,2)/mat.bin
File name for polynomial output: SL4/SL(4,R)/PU(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(2,H)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SL4/SL(2,H)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL4/SL(2,H)/KGB
real: kgborder
kgbsize: 3
Name an output file (return for stdout, ? to abandon): SL4/SL(2,H)/kgborder
real: block
there is a unique dual real form choice: su(2,2)
Name an output file (return for stdout, ? to abandon): SL4/SL(2,H)/PU(2,2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL4/SL(2,H)/PU(2,2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL4/SL(2,H)/PU(2,2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL4/SL(2,H)/PU(2,2)/klli
st
block: blockwrite
File name for block output: SL4/SL(2,H)/PU(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL4/SL(2,H)/PU(2,2)/mat.bin
File name for polynomial output: SL4/SL(2,H)/PU(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(4,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3.A3
elements of finite order in the center of the simply connected group:
Z/4.Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: sl(4,C)
Name an output file (return for stdout, ? to abandon): SL4/SL(4,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL4/SL(4,C)/KGB
real: kgborder
kgbsize: 24
Name an output file (return for stdout, ? to abandon): SL4/SL(4,C)/kgborder
real: block
there is a unique dual real form choice: sl(4,C)
Name an output file (return for stdout, ? to abandon): SL4/SL(4,C)/PGL(4,C)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL4/SL(4,C)/PGL(4,C)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL4/SL(4,C)/PGL(4,C)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL4/SL(4,C)/PGL(4,C)/kll
ist
block: blockwrite
File name for block output: SL4/SL(4,C)/PGL(4,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL4/SL(4,C)/PGL(4,C)/mat.bin
File name for polynomial output: SL4/SL(4,C)/PGL(4,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A4
elements of finite order in the center of the simply connected group:
Z/5
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(5)
1: su(4,1)
2: su(3,2)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SL5/SU(5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL5/SU(5)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SL5/SU(5)/kgborder
real: block
there is a unique dual real form choice: sl(5,R)
Name an output file (return for stdout, ? to abandon): SL5/SU(5)/PGL(5,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): SL5/SU(5)/PGL(5,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): SL5/SU(5)/PGL(5,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): SL5/SU(5)/PGL(5,R)/kllis
t
block: blockwrite
File name for block output: SL5/SU(5)/PGL(5,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL5/SU(5)/PGL(5,R)/mat.bin
File name for polynomial output: SL5/SU(5)/PGL(5,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(4,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A4
elements of finite order in the center of the simply connected group:
Z/5
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(5)
1: su(4,1)
2: su(3,2)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SL5/SU(4,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL5/SU(4,1)/KGB
real: kgborder
kgbsize: 15
Name an output file (return for stdout, ? to abandon): SL5/SU(4,1)/kgborder
real: block
there is a unique dual real form choice: sl(5,R)
Name an output file (return for stdout, ? to abandon): SL5/SU(4,1)/PGL(5,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL5/SU(4,1)/PGL(5,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL5/SU(4,1)/PGL(5,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL5/SU(4,1)/PGL(5,R)/kll
ist
block: blockwrite
File name for block output: SL5/SU(4,1)/PGL(5,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL5/SU(4,1)/PGL(5,R)/mat.bin
File name for polynomial output: SL5/SU(4,1)/PGL(5,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(3,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A4
elements of finite order in the center of the simply connected group:
Z/5
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(5)
1: su(4,1)
2: su(3,2)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SL5/SU(3,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL5/SU(3,2)/KGB
real: kgborder
kgbsize: 55
Name an output file (return for stdout, ? to abandon): SL5/SU(3,2)/kgborder
real: block
there is a unique dual real form choice: sl(5,R)
Name an output file (return for stdout, ? to abandon): SL5/SU(3,2)/PGL(5,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL5/SU(3,2)/PGL(5,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL5/SU(3,2)/PGL(5,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL5/SU(3,2)/PGL(5,R)/kll
ist
block: blockwrite
File name for block output: SL5/SU(3,2)/PGL(5,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL5/SU(3,2)/PGL(5,R)/mat.bin
File name for polynomial output: SL5/SU(3,2)/PGL(5,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(5,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A4
elements of finite order in the center of the simply connected group:
Z/5
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
there is a unique real form: sl(5,R)
real: cartan
Name an output file (return for stdout, ? to abandon): SL5/SL(5,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL5/SL(5,R)/KGB
real: kgborder
kgbsize: 26
Name an output file (return for stdout, ? to abandon): SL5/SL(5,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(5)
1: su(4,1)
2: su(3,2)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SL5/SL(5,R)/PU(5)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SL5/SL(5,R)/PU(5)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SL5/SL(5,R)/PU(5)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SL5/SL(5,R)/PU(5)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SL5/SL(5,R)/PU(5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL5/SL(5,R)/PU(5)/mat.bin
File name for polynomial output: SL5/SL(5,R)/PU(5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(5)
1: su(4,1)
2: su(3,2)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SL5/SL(5,R)/PU(4,1)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL5/SL(5,R)/PU(4,1)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL5/SL(5,R)/PU(4,1)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL5/SL(5,R)/PU(4,1)/klli
st
block: blockwrite
File name for block output: SL5/SL(5,R)/PU(4,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL5/SL(5,R)/PU(4,1)/mat.bin
File name for polynomial output: SL5/SL(5,R)/PU(4,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(5)
1: su(4,1)
2: su(3,2)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SL5/SL(5,R)/PU(3,2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL5/SL(5,R)/PU(3,2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL5/SL(5,R)/PU(3,2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL5/SL(5,R)/PU(3,2)/klli
st
block: blockwrite
File name for block output: SL5/SL(5,R)/PU(3,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL5/SL(5,R)/PU(3,2)/mat.bin
File name for polynomial output: SL5/SL(5,R)/PU(3,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(5,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A4.A4
elements of finite order in the center of the simply connected group:
Z/5.Z/5
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: sl(5,C)
Name an output file (return for stdout, ? to abandon): SL5/SL(5,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL5/SL(5,C)/KGB
real: kgborder
kgbsize: 120
Name an output file (return for stdout, ? to abandon): SL5/SL(5,C)/kgborder
real: block
there is a unique dual real form choice: sl(5,C)
Name an output file (return for stdout, ? to abandon): SL5/SL(5,C)/PGL(5,C)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL5/SL(5,C)/PGL(5,C)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL5/SL(5,C)/PGL(5,C)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL5/SL(5,C)/PGL(5,C)/kll
ist
block: blockwrite
File name for block output: SL5/SL(5,C)/PGL(5,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL5/SL(5,C)/PGL(5,C)/mat.bin
File name for polynomial output: SL5/SL(5,C)/PGL(5,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5
elements of finite order in the center of the simply connected group:
Z/6
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(6)
1: su(5,1)
2: su(4,2)
3: su(3,3)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SL6/SU(6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL6/SU(6)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SL6/SU(6)/kgborder
real: block
there is a unique dual real form choice: sl(6,R)
Name an output file (return for stdout, ? to abandon): SL6/SU(6)/PGL(6,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): SL6/SU(6)/PGL(6,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): SL6/SU(6)/PGL(6,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): SL6/SU(6)/PGL(6,R)/kllis
t
block: blockwrite
File name for block output: SL6/SU(6)/PGL(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL6/SU(6)/PGL(6,R)/mat.bin
File name for polynomial output: SL6/SU(6)/PGL(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(5,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5
elements of finite order in the center of the simply connected group:
Z/6
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(6)
1: su(5,1)
2: su(4,2)
3: su(3,3)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SL6/SU(5,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL6/SU(5,1)/KGB
real: kgborder
kgbsize: 21
Name an output file (return for stdout, ? to abandon): SL6/SU(5,1)/kgborder
real: block
there is a unique dual real form choice: sl(6,R)
Name an output file (return for stdout, ? to abandon): SL6/SU(5,1)/PGL(6,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL6/SU(5,1)/PGL(6,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL6/SU(5,1)/PGL(6,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL6/SU(5,1)/PGL(6,R)/kll
ist
block: blockwrite
File name for block output: SL6/SU(5,1)/PGL(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL6/SU(5,1)/PGL(6,R)/mat.bin
File name for polynomial output: SL6/SU(5,1)/PGL(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(4,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5
elements of finite order in the center of the simply connected group:
Z/6
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(6)
1: su(5,1)
2: su(4,2)
3: su(3,3)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SL6/SU(4,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL6/SU(4,2)/KGB
real: kgborder
kgbsize: 120
Name an output file (return for stdout, ? to abandon): SL6/SU(4,2)/kgborder
real: block
there is a unique dual real form choice: sl(6,R)
Name an output file (return for stdout, ? to abandon): SL6/SU(4,2)/PGL(6,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL6/SU(4,2)/PGL(6,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL6/SU(4,2)/PGL(6,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL6/SU(4,2)/PGL(6,R)/kll
ist
block: blockwrite
File name for block output: SL6/SU(4,2)/PGL(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL6/SU(4,2)/PGL(6,R)/mat.bin
File name for polynomial output: SL6/SU(4,2)/PGL(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(3,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5
elements of finite order in the center of the simply connected group:
Z/6
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(6)
1: su(5,1)
2: su(4,2)
3: su(3,3)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SL6/SU(3,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL6/SU(3,3)/KGB
real: kgborder
kgbsize: 215
Name an output file (return for stdout, ? to abandon): SL6/SU(3,3)/kgborder
real: block
possible (weak) dual real forms are:
0: sl(3,H)
1: sl(6,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SL6/SU(3,3)/PGL(3,H)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL6/SU(3,3)/PGL(3,H)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL6/SU(3,3)/PGL(3,H)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL6/SU(3,3)/PGL(3,H)/kll
ist
block: blockwrite
File name for block output: SL6/SU(3,3)/PGL(3,H)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL6/SU(3,3)/PGL(3,H)/mat.bin
File name for polynomial output: SL6/SU(3,3)/PGL(3,H)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sl(3,H)
1: sl(6,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SL6/SU(3,3)/PGL(6,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL6/SU(3,3)/PGL(6,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL6/SU(3,3)/PGL(6,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL6/SU(3,3)/PGL(6,R)/kll
ist
block: blockwrite
File name for block output: SL6/SU(3,3)/PGL(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL6/SU(3,3)/PGL(6,R)/mat.bin
File name for polynomial output: SL6/SU(3,3)/PGL(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(6,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5
elements of finite order in the center of the simply connected group:
Z/6
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(3,H)
1: sl(6,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/KGB
real: kgborder
kgbsize: 91
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(6)
1: su(5,1)
2: su(4,2)
3: su(3,3)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/PU(6)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/PU(6)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/PU(6)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/PU(6)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SL6/SL(6,R)/PU(6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL6/SL(6,R)/PU(6)/mat.bin
File name for polynomial output: SL6/SL(6,R)/PU(6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(6)
1: su(5,1)
2: su(4,2)
3: su(3,3)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/PU(5,1)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/PU(5,1)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/PU(5,1)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/PU(5,1)/klli
st
block: blockwrite
File name for block output: SL6/SL(6,R)/PU(5,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL6/SL(6,R)/PU(5,1)/mat.bin
File name for polynomial output: SL6/SL(6,R)/PU(5,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(6)
1: su(5,1)
2: su(4,2)
3: su(3,3)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/PU(4,2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/PU(4,2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/PU(4,2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/PU(4,2)/klli
st
block: blockwrite
File name for block output: SL6/SL(6,R)/PU(4,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL6/SL(6,R)/PU(4,2)/mat.bin
File name for polynomial output: SL6/SL(6,R)/PU(4,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(6)
1: su(5,1)
2: su(4,2)
3: su(3,3)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/PU(3,3)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/PU(3,3)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/PU(3,3)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL6/SL(6,R)/PU(3,3)/klli
st
block: blockwrite
File name for block output: SL6/SL(6,R)/PU(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL6/SL(6,R)/PU(3,3)/mat.bin
File name for polynomial output: SL6/SL(6,R)/PU(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(3,H)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5
elements of finite order in the center of the simply connected group:
Z/6
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(3,H)
1: sl(6,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SL6/SL(3,H)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL6/SL(3,H)/KGB
real: kgborder
kgbsize: 15
Name an output file (return for stdout, ? to abandon): SL6/SL(3,H)/kgborder
real: block
there is a unique dual real form choice: su(3,3)
Name an output file (return for stdout, ? to abandon): SL6/SL(3,H)/PU(3,3)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL6/SL(3,H)/PU(3,3)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL6/SL(3,H)/PU(3,3)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL6/SL(3,H)/PU(3,3)/klli
st
block: blockwrite
File name for block output: SL6/SL(3,H)/PU(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL6/SL(3,H)/PU(3,3)/mat.bin
File name for polynomial output: SL6/SL(3,H)/PU(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(6,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5.A5
elements of finite order in the center of the simply connected group:
Z/6.Z/6
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: sl(6,C)
Name an output file (return for stdout, ? to abandon): SL6/SL(6,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL6/SL(6,C)/KGB
real: kgborder
kgbsize: 720
Name an output file (return for stdout, ? to abandon): SL6/SL(6,C)/kgborder
real: block
there is a unique dual real form choice: sl(6,C)
Name an output file (return for stdout, ? to abandon): SL6/SL(6,C)/PGL(6,C)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL6/SL(6,C)/PGL(6,C)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL6/SL(6,C)/PGL(6,C)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL6/SL(6,C)/PGL(6,C)/kll
ist
block: blockwrite
File name for block output: SL6/SL(6,C)/PGL(6,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL6/SL(6,C)/PGL(6,C)/mat.bin
File name for polynomial output: SL6/SL(6,C)/PGL(6,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(7)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6
elements of finite order in the center of the simply connected group:
Z/7
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(7)
1: su(6,1)
2: su(5,2)
3: su(4,3)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SL7/SU(7)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL7/SU(7)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SL7/SU(7)/kgborder
real: block
there is a unique dual real form choice: sl(7,R)
Name an output file (return for stdout, ? to abandon): SL7/SU(7)/PGL(7,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): SL7/SU(7)/PGL(7,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): SL7/SU(7)/PGL(7,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): SL7/SU(7)/PGL(7,R)/kllis
t
block: blockwrite
File name for block output: SL7/SU(7)/PGL(7,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL7/SU(7)/PGL(7,R)/mat.bin
File name for polynomial output: SL7/SU(7)/PGL(7,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(6,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6
elements of finite order in the center of the simply connected group:
Z/7
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(7)
1: su(6,1)
2: su(5,2)
3: su(4,3)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SL7/SU(6,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL7/SU(6,1)/KGB
real: kgborder
kgbsize: 28
Name an output file (return for stdout, ? to abandon): SL7/SU(6,1)/kgborder
real: block
there is a unique dual real form choice: sl(7,R)
Name an output file (return for stdout, ? to abandon): SL7/SU(6,1)/PGL(7,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL7/SU(6,1)/PGL(7,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL7/SU(6,1)/PGL(7,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL7/SU(6,1)/PGL(7,R)/kll
ist
block: blockwrite
File name for block output: SL7/SU(6,1)/PGL(7,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL7/SU(6,1)/PGL(7,R)/mat.bin
File name for polynomial output: SL7/SU(6,1)/PGL(7,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(5,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6
elements of finite order in the center of the simply connected group:
Z/7
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(7)
1: su(6,1)
2: su(5,2)
3: su(4,3)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SL7/SU(5,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL7/SU(5,2)/KGB
real: kgborder
kgbsize: 231
Name an output file (return for stdout, ? to abandon): SL7/SU(5,2)/kgborder
real: block
there is a unique dual real form choice: sl(7,R)
Name an output file (return for stdout, ? to abandon): SL7/SU(5,2)/PGL(7,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL7/SU(5,2)/PGL(7,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL7/SU(5,2)/PGL(7,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL7/SU(5,2)/PGL(7,R)/kll
ist
block: blockwrite
File name for block output: SL7/SU(5,2)/PGL(7,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL7/SU(5,2)/PGL(7,R)/mat.bin
File name for polynomial output: SL7/SU(5,2)/PGL(7,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(4,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6
elements of finite order in the center of the simply connected group:
Z/7
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(7)
1: su(6,1)
2: su(5,2)
3: su(4,3)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SL7/SU(4,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL7/SU(4,3)/KGB
real: kgborder
kgbsize: 665
Name an output file (return for stdout, ? to abandon): SL7/SU(4,3)/kgborder
real: block
there is a unique dual real form choice: sl(7,R)
Name an output file (return for stdout, ? to abandon): SL7/SU(4,3)/PGL(7,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL7/SU(4,3)/PGL(7,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL7/SU(4,3)/PGL(7,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL7/SU(4,3)/PGL(7,R)/kll
ist
block: blockwrite
File name for block output: SL7/SU(4,3)/PGL(7,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL7/SU(4,3)/PGL(7,R)/mat.bin
File name for polynomial output: SL7/SU(4,3)/PGL(7,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(7,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6
elements of finite order in the center of the simply connected group:
Z/7
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
there is a unique real form: sl(7,R)
real: cartan
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/KGB
real: kgborder
kgbsize: 232
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(7)
1: su(6,1)
2: su(5,2)
3: su(4,3)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/PU(7)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/PU(7)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/PU(7)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/PU(7)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SL7/SL(7,R)/PU(7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL7/SL(7,R)/PU(7)/mat.bin
File name for polynomial output: SL7/SL(7,R)/PU(7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(7)
1: su(6,1)
2: su(5,2)
3: su(4,3)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/PU(6,1)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/PU(6,1)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/PU(6,1)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/PU(6,1)/klli
st
block: blockwrite
File name for block output: SL7/SL(7,R)/PU(6,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL7/SL(7,R)/PU(6,1)/mat.bin
File name for polynomial output: SL7/SL(7,R)/PU(6,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(7)
1: su(6,1)
2: su(5,2)
3: su(4,3)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/PU(5,2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/PU(5,2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/PU(5,2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/PU(5,2)/klli
st
block: blockwrite
File name for block output: SL7/SL(7,R)/PU(5,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL7/SL(7,R)/PU(5,2)/mat.bin
File name for polynomial output: SL7/SL(7,R)/PU(5,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(7)
1: su(6,1)
2: su(5,2)
3: su(4,3)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/PU(4,3)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/PU(4,3)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/PU(4,3)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL7/SL(7,R)/PU(4,3)/klli
st
block: blockwrite
File name for block output: SL7/SL(7,R)/PU(4,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL7/SL(7,R)/PU(4,3)/mat.bin
File name for polynomial output: SL7/SL(7,R)/PU(4,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(7,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6.A6
elements of finite order in the center of the simply connected group:
Z/7.Z/7
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: sl(7,C)
Name an output file (return for stdout, ? to abandon): SL7/SL(7,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL7/SL(7,C)/KGB
real: kgborder
kgbsize: 5040
Name an output file (return for stdout, ? to abandon): SL7/SL(7,C)/kgborder
real: block
there is a unique dual real form choice: sl(7,C)
Name an output file (return for stdout, ? to abandon): SL7/SL(7,C)/PGL(7,C)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL7/SL(7,C)/PGL(7,C)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL7/SL(7,C)/PGL(7,C)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL7/SL(7,C)/PGL(7,C)/kll
ist
block: blockwrite
File name for block output: SL7/SL(7,C)/PGL(7,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL7/SL(7,C)/PGL(7,C)/mat.bin
File name for polynomial output: SL7/SL(7,C)/PGL(7,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(8)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7
elements of finite order in the center of the simply connected group:
Z/8
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SL8/SU(8)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL8/SU(8)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SL8/SU(8)/kgborder
real: block
there is a unique dual real form choice: sl(8,R)
Name an output file (return for stdout, ? to abandon): SL8/SU(8)/PGL(8,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): SL8/SU(8)/PGL(8,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): SL8/SU(8)/PGL(8,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): SL8/SU(8)/PGL(8,R)/kllis
t
block: blockwrite
File name for block output: SL8/SU(8)/PGL(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL8/SU(8)/PGL(8,R)/mat.bin
File name for polynomial output: SL8/SU(8)/PGL(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(7,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7
elements of finite order in the center of the simply connected group:
Z/8
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SL8/SU(7,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL8/SU(7,1)/KGB
real: kgborder
kgbsize: 36
Name an output file (return for stdout, ? to abandon): SL8/SU(7,1)/kgborder
real: block
there is a unique dual real form choice: sl(8,R)
Name an output file (return for stdout, ? to abandon): SL8/SU(7,1)/PGL(8,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL8/SU(7,1)/PGL(8,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL8/SU(7,1)/PGL(8,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL8/SU(7,1)/PGL(8,R)/kll
ist
block: blockwrite
File name for block output: SL8/SU(7,1)/PGL(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL8/SU(7,1)/PGL(8,R)/mat.bin
File name for polynomial output: SL8/SU(7,1)/PGL(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(6,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7
elements of finite order in the center of the simply connected group:
Z/8
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SL8/SU(6,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL8/SU(6,2)/KGB
real: kgborder
kgbsize: 406
Name an output file (return for stdout, ? to abandon): SL8/SU(6,2)/kgborder
real: block
there is a unique dual real form choice: sl(8,R)
Name an output file (return for stdout, ? to abandon): SL8/SU(6,2)/PGL(8,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL8/SU(6,2)/PGL(8,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL8/SU(6,2)/PGL(8,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL8/SU(6,2)/PGL(8,R)/kll
ist
block: blockwrite
File name for block output: SL8/SU(6,2)/PGL(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL8/SU(6,2)/PGL(8,R)/mat.bin
File name for polynomial output: SL8/SU(6,2)/PGL(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(5,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7
elements of finite order in the center of the simply connected group:
Z/8
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SL8/SU(5,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL8/SU(5,3)/KGB
real: kgborder
kgbsize: 1736
Name an output file (return for stdout, ? to abandon): SL8/SU(5,3)/kgborder
real: block
there is a unique dual real form choice: sl(8,R)
Name an output file (return for stdout, ? to abandon): SL8/SU(5,3)/PGL(8,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL8/SU(5,3)/PGL(8,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL8/SU(5,3)/PGL(8,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL8/SU(5,3)/PGL(8,R)/kll
ist
block: blockwrite
File name for block output: SL8/SU(5,3)/PGL(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL8/SU(5,3)/PGL(8,R)/mat.bin
File name for polynomial output: SL8/SU(5,3)/PGL(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(4,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7
elements of finite order in the center of the simply connected group:
Z/8
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): SL8/SU(4,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL8/SU(4,4)/KGB
real: kgborder
kgbsize: 2835
Name an output file (return for stdout, ? to abandon): SL8/SU(4,4)/kgborder
real: block
possible (weak) dual real forms are:
0: sl(4,H)
1: sl(8,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SL8/SU(4,4)/PGL(4,H)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL8/SU(4,4)/PGL(4,H)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL8/SU(4,4)/PGL(4,H)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL8/SU(4,4)/PGL(4,H)/kll
ist
block: blockwrite
File name for block output: SL8/SU(4,4)/PGL(4,H)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL8/SU(4,4)/PGL(4,H)/mat.bin
File name for polynomial output: SL8/SU(4,4)/PGL(4,H)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sl(4,H)
1: sl(8,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SL8/SU(4,4)/PGL(8,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL8/SU(4,4)/PGL(8,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL8/SU(4,4)/PGL(8,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL8/SU(4,4)/PGL(8,R)/kll
ist
block: blockwrite
File name for block output: SL8/SU(4,4)/PGL(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL8/SU(4,4)/PGL(8,R)/mat.bin
File name for polynomial output: SL8/SU(4,4)/PGL(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(8,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7
elements of finite order in the center of the simply connected group:
Z/8
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(4,H)
1: sl(8,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/KGB
real: kgborder
kgbsize: 869
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(8)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(8)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(8)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(8)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SL8/SL(8,R)/PU(8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL8/SL(8,R)/PU(8)/mat.bin
File name for polynomial output: SL8/SL(8,R)/PU(8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(7,1)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(7,1)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(7,1)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(7,1)/klli
st
block: blockwrite
File name for block output: SL8/SL(8,R)/PU(7,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL8/SL(8,R)/PU(7,1)/mat.bin
File name for polynomial output: SL8/SL(8,R)/PU(7,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(6,2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(6,2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(6,2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(6,2)/klli
st
block: blockwrite
File name for block output: SL8/SL(8,R)/PU(6,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL8/SL(8,R)/PU(6,2)/mat.bin
File name for polynomial output: SL8/SL(8,R)/PU(6,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(5,3)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(5,3)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(5,3)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(5,3)/klli
st
block: blockwrite
File name for block output: SL8/SL(8,R)/PU(5,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL8/SL(8,R)/PU(5,3)/mat.bin
File name for polynomial output: SL8/SL(8,R)/PU(5,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(4,4)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(4,4)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(4,4)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL8/SL(8,R)/PU(4,4)/klli
st
block: blockwrite
File name for block output: SL8/SL(8,R)/PU(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL8/SL(8,R)/PU(4,4)/mat.bin
File name for polynomial output: SL8/SL(8,R)/PU(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(4,H)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7
elements of finite order in the center of the simply connected group:
Z/8
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(4,H)
1: sl(8,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SL8/SL(4,H)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL8/SL(4,H)/KGB
real: kgborder
kgbsize: 105
Name an output file (return for stdout, ? to abandon): SL8/SL(4,H)/kgborder
real: block
there is a unique dual real form choice: su(4,4)
Name an output file (return for stdout, ? to abandon): SL8/SL(4,H)/PU(4,4)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL8/SL(4,H)/PU(4,4)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL8/SL(4,H)/PU(4,4)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL8/SL(4,H)/PU(4,4)/klli
st
block: blockwrite
File name for block output: SL8/SL(4,H)/PU(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL8/SL(4,H)/PU(4,4)/mat.bin
File name for polynomial output: SL8/SL(4,H)/PU(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(8,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7.A7
elements of finite order in the center of the simply connected group:
Z/8.Z/8
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: sl(8,C)
Name an output file (return for stdout, ? to abandon): SL8/SL(8,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL8/SL(8,C)/KGB
real: kgborder
kgbsize: 40320
Name an output file (return for stdout, ? to abandon): SL8/SL(8,C)/kgborder
real: block
there is a unique dual real form choice: sl(8,C)
Name an output file (return for stdout, ? to abandon): SL8/SL(8,C)/PGL(8,C)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL8/SL(8,C)/PGL(8,C)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL8/SL(8,C)/PGL(8,C)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL8/SL(8,C)/PGL(8,C)/kll
ist
block: blockwrite
File name for block output: SL8/SL(8,C)/PGL(8,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL8/SL(8,C)/PGL(8,C)/mat.bin
File name for polynomial output: SL8/SL(8,C)/PGL(8,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(9)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8
elements of finite order in the center of the simply connected group:
Z/9
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SL9/SU(9)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL9/SU(9)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SL9/SU(9)/kgborder
real: block
there is a unique dual real form choice: sl(9,R)
Name an output file (return for stdout, ? to abandon): SL9/SU(9)/PGL(9,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): SL9/SU(9)/PGL(9,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): SL9/SU(9)/PGL(9,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): SL9/SU(9)/PGL(9,R)/kllis
t
block: blockwrite
File name for block output: SL9/SU(9)/PGL(9,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL9/SU(9)/PGL(9,R)/mat.bin
File name for polynomial output: SL9/SU(9)/PGL(9,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(8,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8
elements of finite order in the center of the simply connected group:
Z/9
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SL9/SU(8,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL9/SU(8,1)/KGB
real: kgborder
kgbsize: 45
Name an output file (return for stdout, ? to abandon): SL9/SU(8,1)/kgborder
real: block
there is a unique dual real form choice: sl(9,R)
Name an output file (return for stdout, ? to abandon): SL9/SU(8,1)/PGL(9,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL9/SU(8,1)/PGL(9,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL9/SU(8,1)/PGL(9,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL9/SU(8,1)/PGL(9,R)/kll
ist
block: blockwrite
File name for block output: SL9/SU(8,1)/PGL(9,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL9/SU(8,1)/PGL(9,R)/mat.bin
File name for polynomial output: SL9/SU(8,1)/PGL(9,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(7,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8
elements of finite order in the center of the simply connected group:
Z/9
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SL9/SU(7,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL9/SU(7,2)/KGB
real: kgborder
kgbsize: 666
Name an output file (return for stdout, ? to abandon): SL9/SU(7,2)/kgborder
real: block
there is a unique dual real form choice: sl(9,R)
Name an output file (return for stdout, ? to abandon): SL9/SU(7,2)/PGL(9,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL9/SU(7,2)/PGL(9,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL9/SU(7,2)/PGL(9,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL9/SU(7,2)/PGL(9,R)/kll
ist
block: blockwrite
File name for block output: SL9/SU(7,2)/PGL(9,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL9/SU(7,2)/PGL(9,R)/mat.bin
File name for polynomial output: SL9/SU(7,2)/PGL(9,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(6,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8
elements of finite order in the center of the simply connected group:
Z/9
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SL9/SU(6,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL9/SU(6,3)/KGB
real: kgborder
kgbsize: 3990
Name an output file (return for stdout, ? to abandon): SL9/SU(6,3)/kgborder
real: block
there is a unique dual real form choice: sl(9,R)
Name an output file (return for stdout, ? to abandon): SL9/SU(6,3)/PGL(9,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL9/SU(6,3)/PGL(9,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL9/SU(6,3)/PGL(9,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL9/SU(6,3)/PGL(9,R)/kll
ist
block: blockwrite
File name for block output: SL9/SU(6,3)/PGL(9,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL9/SU(6,3)/PGL(9,R)/mat.bin
File name for polynomial output: SL9/SU(6,3)/PGL(9,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SU(5,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8
elements of finite order in the center of the simply connected group:
Z/9
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): SL9/SU(5,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL9/SU(5,4)/KGB
real: kgborder
kgbsize: 9891
Name an output file (return for stdout, ? to abandon): SL9/SU(5,4)/kgborder
real: block
there is a unique dual real form choice: sl(9,R)
Name an output file (return for stdout, ? to abandon): SL9/SU(5,4)/PGL(9,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SL9/SU(5,4)/PGL(9,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SL9/SU(5,4)/PGL(9,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SL9/SU(5,4)/PGL(9,R)/kll
ist
block: blockwrite
File name for block output: SL9/SU(5,4)/PGL(9,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL9/SU(5,4)/PGL(9,R)/mat.bin
File name for polynomial output: SL9/SU(5,4)/PGL(9,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(9,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8
elements of finite order in the center of the simply connected group:
Z/9
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
there is a unique real form: sl(9,R)
real: cartan
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/KGB
real: kgborder
kgbsize: 2620
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(9)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(9)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(9)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(9)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SL9/SL(9,R)/PU(9)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL9/SL(9,R)/PU(9)/mat.bin
File name for polynomial output: SL9/SL(9,R)/PU(9)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(8,1)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(8,1)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(8,1)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(8,1)/klli
st
block: blockwrite
File name for block output: SL9/SL(9,R)/PU(8,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL9/SL(9,R)/PU(8,1)/mat.bin
File name for polynomial output: SL9/SL(9,R)/PU(8,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(7,2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(7,2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(7,2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(7,2)/klli
st
block: blockwrite
File name for block output: SL9/SL(9,R)/PU(7,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL9/SL(9,R)/PU(7,2)/mat.bin
File name for polynomial output: SL9/SL(9,R)/PU(7,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(6,3)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(6,3)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(6,3)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(6,3)/klli
st
block: blockwrite
File name for block output: SL9/SL(9,R)/PU(6,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL9/SL(9,R)/PU(6,3)/mat.bin
File name for polynomial output: SL9/SL(9,R)/PU(6,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(5,4)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(5,4)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(5,4)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SL9/SL(9,R)/PU(5,4)/klli
st
block: blockwrite
File name for block output: SL9/SL(9,R)/PU(5,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SL9/SL(9,R)/PU(5,4)/mat.bin
File name for polynomial output: SL9/SL(9,R)/PU(5,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SL(9,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8.A8
elements of finite order in the center of the simply connected group:
Z/9.Z/9
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: sl(9,C)
Name an output file (return for stdout, ? to abandon): SL9/SL(9,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SL9/SL(9,C)/KGB
real: ?
?: not found
real: qq
U(2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.T1
elements of finite order in the center of the simply connected group:
Z/2.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(2).u(1)
1: sl(2,R).u(1)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): GL2/U(2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL2/U(2)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): GL2/U(2)/kgborder
real: block
there is a unique dual real form choice: sl(2,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL2/U(2)/GL(2,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): GL2/U(2)/GL(2,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): GL2/U(2)/GL(2,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): GL2/U(2)/GL(2,R)/kllist
block: blockwrite
File name for block output: GL2/U(2)/GL(2,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL2/U(2)/GL(2,R)/mat.bin
File name for polynomial output: GL2/U(2)/GL(2,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(1,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.T1
elements of finite order in the center of the simply connected group:
Z/2.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(2).u(1)
1: sl(2,R).u(1)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): GL2/U(1,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL2/U(1,1)/KGB
real: kgborder
kgbsize: 3
Name an output file (return for stdout, ? to abandon): GL2/U(1,1)/kgborder
real: block
possible (weak) dual real forms are:
0: su(2).gl(1,R)
1: sl(2,R).gl(1,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): GL2/U(1,1)/GL(1,H)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL2/U(1,1)/GL(1,H)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL2/U(1,1)/GL(1,H)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL2/U(1,1)/GL(1,H)/kllis
t
block: blockwrite
File name for block output: GL2/U(1,1)/GL(1,H)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL2/U(1,1)/GL(1,H)/mat.bin
File name for polynomial output: GL2/U(1,1)/GL(1,H)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(2).gl(1,R)
1: sl(2,R).gl(1,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): GL2/U(1,1)/GL(2,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL2/U(1,1)/GL(2,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL2/U(1,1)/GL(2,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL2/U(1,1)/GL(2,R)/kllis
t
block: blockwrite
File name for block output: GL2/U(1,1)/GL(2,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL2/U(1,1)/GL(2,R)/mat.bin
File name for polynomial output: GL2/U(1,1)/GL(2,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(2,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.T1
elements of finite order in the center of the simply connected group:
Z/2.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): ss
main: realform
(weak) real forms are:
0: su(2).gl(1,R)
1: sl(2,R).gl(1,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): GL2/GL(2,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL2/GL(2,R)/KGB
real: kgborder
kgbsize: 2
Name an output file (return for stdout, ? to abandon): GL2/GL(2,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(2).u(1)
1: sl(2,R).u(1)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): GL2/GL(2,R)/U(2)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): GL2/GL(2,R)/U(2)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): GL2/GL(2,R)/U(2)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): GL2/GL(2,R)/U(2)/kllist
block: blockwrite
File name for block output: GL2/GL(2,R)/U(2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL2/GL(2,R)/U(2)/mat.bin
File name for polynomial output: GL2/GL(2,R)/U(2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(2).u(1)
1: sl(2,R).u(1)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): GL2/GL(2,R)/U(1,1)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL2/GL(2,R)/U(1,1)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL2/GL(2,R)/U(1,1)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL2/GL(2,R)/U(1,1)/kllis
t
block: blockwrite
File name for block output: GL2/GL(2,R)/U(1,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL2/GL(2,R)/U(1,1)/mat.bin
File name for polynomial output: GL2/GL(2,R)/U(1,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(1,H)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.T1
elements of finite order in the center of the simply connected group:
Z/2.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): ss
main: realform
(weak) real forms are:
0: su(2).gl(1,R)
1: sl(2,R).gl(1,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): GL2/GL(1,H)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL2/GL(1,H)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): GL2/GL(1,H)/kgborder
real: block
there is a unique dual real form choice: sl(2,R).u(1)
Name an output file (return for stdout, ? to abandon): GL2/GL(1,H)/U(1,1)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL2/GL(1,H)/U(1,1)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL2/GL(1,H)/U(1,1)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL2/GL(1,H)/U(1,1)/kllis
t
block: blockwrite
File name for block output: GL2/GL(1,H)/U(1,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL2/GL(1,H)/U(1,1)/mat.bin
File name for polynomial output: GL2/GL(1,H)/U(1,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(2,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1.T1.T1
elements of finite order in the center of the simply connected group:
Z/2.Z/2.Q/Z.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,0/2,1/2,0/2
0/2,1/2,0/2,1/2
enter inner class(es): CC
main: cartan
there is a unique real form: sl(2,C).gl(1,C)
Name an output file (return for stdout, ? to abandon): GL2/GL(2,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL2/GL(2,C)/KGB
real: kgborder
kgbsize: 2
Name an output file (return for stdout, ? to abandon): GL2/GL(2,C)/kgborder
real: block
there is a unique dual real form choice: sl(2,C).gl(1,C)
Name an output file (return for stdout, ? to abandon): GL2/GL(2,C)/GL(2,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): GL2/GL(2,C)/GL(2,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): GL2/GL(2,C)/GL(2,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): GL2/GL(2,C)/GL(2,C)/klli
st
block: blockwrite
File name for block output: GL2/GL(2,C)/GL(2,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL2/GL(2,C)/GL(2,C)/mat.bin
File name for polynomial output: GL2/GL(2,C)/GL(2,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A2.T1
elements of finite order in the center of the simply connected group:
Z/3.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/3,1/3
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(3).u(1)
1: su(2,1).u(1)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): GL3/U(3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL3/U(3)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): GL3/U(3)/kgborder
real: block
there is a unique dual real form choice: sl(3,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL3/U(3)/GL(3,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): GL3/U(3)/GL(3,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): GL3/U(3)/GL(3,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): GL3/U(3)/GL(3,R)/kllist
block: blockwrite
File name for block output: GL3/U(3)/GL(3,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL3/U(3)/GL(3,R)/mat.bin
File name for polynomial output: GL3/U(3)/GL(3,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(2,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A2.T1
elements of finite order in the center of the simply connected group:
Z/3.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/3,1/3
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(3).u(1)
1: su(2,1).u(1)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): GL3/U(2,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL3/U(2,1)/KGB
real: kgborder
kgbsize: 6
Name an output file (return for stdout, ? to abandon): GL3/U(2,1)/kgborder
real: block
there is a unique dual real form choice: sl(3,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL3/U(2,1)/GL(3,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL3/U(2,1)/GL(3,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL3/U(2,1)/GL(3,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL3/U(2,1)/GL(3,R)/kllis
t
block: blockwrite
File name for block output: GL3/U(2,1)/GL(3,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL3/U(2,1)/GL(3,R)/mat.bin
File name for polynomial output: GL3/U(2,1)/GL(3,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(3,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A2.T1
elements of finite order in the center of the simply connected group:
Z/3.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/3,1/3
enter inner class(es): ss
main: realform
there is a unique real form: sl(3,R).gl(1,R)
real: cartan
Name an output file (return for stdout, ? to abandon): GL3/GL(3,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL3/GL(3,R)/KGB
real: kgborder
kgbsize: 4
Name an output file (return for stdout, ? to abandon): GL3/GL(3,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(3).u(1)
1: su(2,1).u(1)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): GL3/GL(3,R)/U(3)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): GL3/GL(3,R)/U(3)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): GL3/GL(3,R)/U(3)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): GL3/GL(3,R)/U(3)/kllist
block: blockwrite
File name for block output: GL3/GL(3,R)/U(3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL3/GL(3,R)/U(3)/mat.bin
File name for polynomial output: GL3/GL(3,R)/U(3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(3).u(1)
1: su(2,1).u(1)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): GL3/GL(3,R)/U(2,1)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL3/GL(3,R)/U(2,1)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL3/GL(3,R)/U(2,1)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL3/GL(3,R)/U(2,1)/kllis
t
block: blockwrite
File name for block output: GL3/GL(3,R)/U(2,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL3/GL(3,R)/U(2,1)/mat.bin
File name for polynomial output: GL3/GL(3,R)/U(2,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(3,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A2.A2.T1.T1
elements of finite order in the center of the simply connected group:
Z/3.Z/3.Q/Z.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/3,0/3,1/3,0/3
0/3,1/3,0/3,1/3
enter inner class(es): CC
main: cartan
there is a unique real form: sl(3,C).gl(1,C)
Name an output file (return for stdout, ? to abandon): GL3/GL(3,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL3/GL(3,C)/KGB
real: kgborder
kgbsize: 6
Name an output file (return for stdout, ? to abandon): GL3/GL(3,C)/kgborder
real: block
there is a unique dual real form choice: sl(3,C).gl(1,C)
Name an output file (return for stdout, ? to abandon): GL3/GL(3,C)/GL(3,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): GL3/GL(3,C)/GL(3,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): GL3/GL(3,C)/GL(3,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): GL3/GL(3,C)/GL(3,C)/klli
st
block: blockwrite
File name for block output: GL3/GL(3,C)/GL(3,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL3/GL(3,C)/GL(3,C)/mat.bin
File name for polynomial output: GL3/GL(3,C)/GL(3,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3.T1
elements of finite order in the center of the simply connected group:
Z/4.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/4,1/4
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(4).u(1)
1: su(3,1).u(1)
2: su(2,2).u(1)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): GL4/U(4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL4/U(4)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): GL4/U(4)/kgborder
real: block
there is a unique dual real form choice: sl(4,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL4/U(4)/GL(4,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): GL4/U(4)/GL(4,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): GL4/U(4)/GL(4,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): GL4/U(4)/GL(4,R)/kllist
block: blockwrite
File name for block output: GL4/U(4)/GL(4,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL4/U(4)/GL(4,R)/mat.bin
File name for polynomial output: GL4/U(4)/GL(4,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(3,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3.T1
elements of finite order in the center of the simply connected group:
Z/4.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/4,1/4
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(4).u(1)
1: su(3,1).u(1)
2: su(2,2).u(1)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): GL4/U(3,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL4/U(3,1)/KGB
real: kgborder
kgbsize: 10
Name an output file (return for stdout, ? to abandon): GL4/U(3,1)/kgborder
real: block
there is a unique dual real form choice: sl(4,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL4/U(3,1)/GL(4,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL4/U(3,1)/GL(4,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL4/U(3,1)/GL(4,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL4/U(3,1)/GL(4,R)/kllis
t
block: blockwrite
File name for block output: GL4/U(3,1)/GL(4,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL4/U(3,1)/GL(4,R)/mat.bin
File name for polynomial output: GL4/U(3,1)/GL(4,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(2,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3.T1
elements of finite order in the center of the simply connected group:
Z/4.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/4,1/4
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(4).u(1)
1: su(3,1).u(1)
2: su(2,2).u(1)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): GL4/U(2,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL4/U(2,2)/KGB
real: kgborder
kgbsize: 21
Name an output file (return for stdout, ? to abandon): GL4/U(2,2)/kgborder
real: block
possible (weak) dual real forms are:
0: sl(2,H).gl(1,R)
1: sl(4,R).gl(1,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): GL4/U(2,2)/GL(2,H)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL4/U(2,2)/GL(2,H)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL4/U(2,2)/GL(2,H)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL4/U(2,2)/GL(2,H)/kllis
t
block: blockwrite
File name for block output: GL4/U(2,2)/GL(2,H)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL4/U(2,2)/GL(2,H)/mat.bin
File name for polynomial output: GL4/U(2,2)/GL(2,H)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sl(2,H).gl(1,R)
1: sl(4,R).gl(1,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): GL4/U(2,2)/GL(4,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL4/U(2,2)/GL(4,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL4/U(2,2)/GL(4,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL4/U(2,2)/GL(4,R)/kllis
t
block: blockwrite
File name for block output: GL4/U(2,2)/GL(4,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL4/U(2,2)/GL(4,R)/mat.bin
File name for polynomial output: GL4/U(2,2)/GL(4,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(4,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3.T1
elements of finite order in the center of the simply connected group:
Z/4.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/4,1/4
enter inner class(es): ss
main: realform
(weak) real forms are:
0: sl(2,H).gl(1,R)
1: sl(4,R).gl(1,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): GL4/GL(4,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL4/GL(4,R)/KGB
real: kgborder
kgbsize: 10
Name an output file (return for stdout, ? to abandon): GL4/GL(4,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(4).u(1)
1: su(3,1).u(1)
2: su(2,2).u(1)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): GL4/GL(4,R)/U(4)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): GL4/GL(4,R)/U(4)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): GL4/GL(4,R)/U(4)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): GL4/GL(4,R)/U(4)/kllist
block: blockwrite
File name for block output: GL4/GL(4,R)/U(4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL4/GL(4,R)/U(4)/mat.bin
File name for polynomial output: GL4/GL(4,R)/U(4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(4).u(1)
1: su(3,1).u(1)
2: su(2,2).u(1)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): GL4/GL(4,R)/U(3,1)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL4/GL(4,R)/U(3,1)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL4/GL(4,R)/U(3,1)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL4/GL(4,R)/U(3,1)/kllis
t
block: blockwrite
File name for block output: GL4/GL(4,R)/U(3,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL4/GL(4,R)/U(3,1)/mat.bin
File name for polynomial output: GL4/GL(4,R)/U(3,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(4).u(1)
1: su(3,1).u(1)
2: su(2,2).u(1)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): GL4/GL(4,R)/U(2,2)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL4/GL(4,R)/U(2,2)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL4/GL(4,R)/U(2,2)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL4/GL(4,R)/U(2,2)/kllis
t
block: blockwrite
File name for block output: GL4/GL(4,R)/U(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL4/GL(4,R)/U(2,2)/mat.bin
File name for polynomial output: GL4/GL(4,R)/U(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(2,H)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3.T1
elements of finite order in the center of the simply connected group:
Z/4.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/4,1/4
enter inner class(es): ss
main: realform
(weak) real forms are:
0: sl(2,H).gl(1,R)
1: sl(4,R).gl(1,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): GL4/GL(2,H)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL4/GL(2,H)/KGB
real: kgborder
kgbsize: 3
Name an output file (return for stdout, ? to abandon): GL4/GL(2,H)/kgborder
real: block
there is a unique dual real form choice: su(2,2).u(1)
Name an output file (return for stdout, ? to abandon): GL4/GL(2,H)/U(2,2)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL4/GL(2,H)/U(2,2)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL4/GL(2,H)/U(2,2)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL4/GL(2,H)/U(2,2)/kllis
t
block: blockwrite
File name for block output: GL4/GL(2,H)/U(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL4/GL(2,H)/U(2,2)/mat.bin
File name for polynomial output: GL4/GL(2,H)/U(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(4,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3.A3.T1.T1
elements of finite order in the center of the simply connected group:
Z/4.Z/4.Q/Z.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/4,0/4,1/4,0/4
0/4,1/4,0/4,1/4
enter inner class(es): CC
main: cartan
there is a unique real form: sl(4,C).gl(1,C)
Name an output file (return for stdout, ? to abandon): GL4/GL(4,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL4/GL(4,C)/KGB
real: kgborder
kgbsize: 24
Name an output file (return for stdout, ? to abandon): GL4/GL(4,C)/kgborder
real: block
there is a unique dual real form choice: sl(4,C).gl(1,C)
Name an output file (return for stdout, ? to abandon): GL4/GL(4,C)/GL(4,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): GL4/GL(4,C)/GL(4,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): GL4/GL(4,C)/GL(4,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): GL4/GL(4,C)/GL(4,C)/klli
st
block: blockwrite
File name for block output: GL4/GL(4,C)/GL(4,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL4/GL(4,C)/GL(4,C)/mat.bin
File name for polynomial output: GL4/GL(4,C)/GL(4,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A4.T1
elements of finite order in the center of the simply connected group:
Z/5.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/5,1/5
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(5).u(1)
1: su(4,1).u(1)
2: su(3,2).u(1)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): GL5/U(5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL5/U(5)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): GL5/U(5)/kgborder
real: block
there is a unique dual real form choice: sl(5,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL5/U(5)/GL(5,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): GL5/U(5)/GL(5,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): GL5/U(5)/GL(5,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): GL5/U(5)/GL(5,R)/kllist
block: blockwrite
File name for block output: GL5/U(5)/GL(5,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL5/U(5)/GL(5,R)/mat.bin
File name for polynomial output: GL5/U(5)/GL(5,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(4,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A4.T1
elements of finite order in the center of the simply connected group:
Z/5.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/5,1/5
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(5).u(1)
1: su(4,1).u(1)
2: su(3,2).u(1)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): GL5/U(4,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL5/U(4,1)/KGB
real: kgborder
kgbsize: 15
Name an output file (return for stdout, ? to abandon): GL5/U(4,1)/kgborder
real: block
there is a unique dual real form choice: sl(5,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL5/U(4,1)/GL(5,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL5/U(4,1)/GL(5,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL5/U(4,1)/GL(5,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL5/U(4,1)/GL(5,R)/kllis
t
block: blockwrite
File name for block output: GL5/U(4,1)/GL(5,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL5/U(4,1)/GL(5,R)/mat.bin
File name for polynomial output: GL5/U(4,1)/GL(5,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(3,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A4.T1
elements of finite order in the center of the simply connected group:
Z/5.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/5,1/5
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(5).u(1)
1: su(4,1).u(1)
2: su(3,2).u(1)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): GL5/U(3,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL5/U(3,2)/KGB
real: kgborder
kgbsize: 55
Name an output file (return for stdout, ? to abandon): GL5/U(3,2)/kgborder
real: block
there is a unique dual real form choice: sl(5,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL5/U(3,2)/GL(5,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL5/U(3,2)/GL(5,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL5/U(3,2)/GL(5,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL5/U(3,2)/GL(5,R)/kllis
t
block: blockwrite
File name for block output: GL5/U(3,2)/GL(5,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL5/U(3,2)/GL(5,R)/mat.bin
File name for polynomial output: GL5/U(3,2)/GL(5,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(5,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A4.T1
elements of finite order in the center of the simply connected group:
Z/5.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/5,1/5
enter inner class(es): ss
main: realform
there is a unique real form: sl(5,R).gl(1,R)
real: cartan
Name an output file (return for stdout, ? to abandon): GL5/GL(5,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL5/GL(5,R)/KGB
real: kgborder
kgbsize: 26
Name an output file (return for stdout, ? to abandon): GL5/GL(5,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(5).u(1)
1: su(4,1).u(1)
2: su(3,2).u(1)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): GL5/GL(5,R)/U(5)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): GL5/GL(5,R)/U(5)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): GL5/GL(5,R)/U(5)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): GL5/GL(5,R)/U(5)/kllist
block: blockwrite
File name for block output: GL5/GL(5,R)/U(5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL5/GL(5,R)/U(5)/mat.bin
File name for polynomial output: GL5/GL(5,R)/U(5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(5).u(1)
1: su(4,1).u(1)
2: su(3,2).u(1)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): GL5/GL(5,R)/U(4,1)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL5/GL(5,R)/U(4,1)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL5/GL(5,R)/U(4,1)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL5/GL(5,R)/U(4,1)/kllis
t
block: blockwrite
File name for block output: GL5/GL(5,R)/U(4,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL5/GL(5,R)/U(4,1)/mat.bin
File name for polynomial output: GL5/GL(5,R)/U(4,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(5).u(1)
1: su(4,1).u(1)
2: su(3,2).u(1)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): GL5/GL(5,R)/U(3,2)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL5/GL(5,R)/U(3,2)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL5/GL(5,R)/U(3,2)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL5/GL(5,R)/U(3,2)/kllis
t
block: blockwrite
File name for block output: GL5/GL(5,R)/U(3,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL5/GL(5,R)/U(3,2)/mat.bin
File name for polynomial output: GL5/GL(5,R)/U(3,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(5,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A4.A4.T1.T1
elements of finite order in the center of the simply connected group:
Z/5.Z/5.Q/Z.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/5,0/5,1/5,0/5
0/5,1/5,0/5,1/5
enter inner class(es): CC
main: cartan
there is a unique real form: sl(5,C).gl(1,C)
Name an output file (return for stdout, ? to abandon): GL5/GL(5,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL5/GL(5,C)/KGB
real: kgborder
kgbsize: 120
Name an output file (return for stdout, ? to abandon): GL5/GL(5,C)/kgborder
real: block
there is a unique dual real form choice: sl(5,C).gl(1,C)
Name an output file (return for stdout, ? to abandon): GL5/GL(5,C)/GL(5,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): GL5/GL(5,C)/GL(5,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): GL5/GL(5,C)/GL(5,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): GL5/GL(5,C)/GL(5,C)/klli
st
block: blockwrite
File name for block output: GL5/GL(5,C)/GL(5,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL5/GL(5,C)/GL(5,C)/mat.bin
File name for polynomial output: GL5/GL(5,C)/GL(5,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5.T1
elements of finite order in the center of the simply connected group:
Z/6.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/6,1/6
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(6).u(1)
1: su(5,1).u(1)
2: su(4,2).u(1)
3: su(3,3).u(1)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): GL6/U(6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL6/U(6)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): GL6/U(6)/kgborder
real: block
there is a unique dual real form choice: sl(6,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL6/U(6)/GL(6,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): GL6/U(6)/GL(6,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): GL6/U(6)/GL(6,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): GL6/U(6)/GL(6,R)/kllist
block: blockwrite
File name for block output: GL6/U(6)/GL(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL6/U(6)/GL(6,R)/mat.bin
File name for polynomial output: GL6/U(6)/GL(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(5,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5.T1
elements of finite order in the center of the simply connected group:
Z/6.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/6,1/6
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(6).u(1)
1: su(5,1).u(1)
2: su(4,2).u(1)
3: su(3,3).u(1)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): GL6/U(5,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL6/U(5,1)/KGB
real: kgborder
kgbsize: 21
Name an output file (return for stdout, ? to abandon): GL6/U(5,1)/kgborder
real: block
there is a unique dual real form choice: sl(6,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL6/U(5,1)/GL(6,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL6/U(5,1)/GL(6,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL6/U(5,1)/GL(6,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL6/U(5,1)/GL(6,R)/kllis
t
block: blockwrite
File name for block output: GL6/U(5,1)/GL(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL6/U(5,1)/GL(6,R)/mat.bin
File name for polynomial output: GL6/U(5,1)/GL(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(4,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5.T1
elements of finite order in the center of the simply connected group:
Z/6.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/6,1/6
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(6).u(1)
1: su(5,1).u(1)
2: su(4,2).u(1)
3: su(3,3).u(1)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): GL6/U(4,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL6/U(4,2)/KGB
real: kgborder
kgbsize: 120
Name an output file (return for stdout, ? to abandon): GL6/U(4,2)/kgborder
real: block
there is a unique dual real form choice: sl(6,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL6/U(4,2)/GL(6,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL6/U(4,2)/GL(6,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL6/U(4,2)/GL(6,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL6/U(4,2)/GL(6,R)/kllis
t
block: blockwrite
File name for block output: GL6/U(4,2)/GL(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL6/U(4,2)/GL(6,R)/mat.bin
File name for polynomial output: GL6/U(4,2)/GL(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(3,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5.T1
elements of finite order in the center of the simply connected group:
Z/6.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/6,1/6
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(6).u(1)
1: su(5,1).u(1)
2: su(4,2).u(1)
3: su(3,3).u(1)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): GL6/U(3,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL6/U(3,3)/KGB
real: kgborder
kgbsize: 215
Name an output file (return for stdout, ? to abandon): GL6/U(3,3)/kgborder
real: block
possible (weak) dual real forms are:
0: sl(3,H).gl(1,R)
1: sl(6,R).gl(1,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): GL6/U(3,3)/GL(3,H)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL6/U(3,3)/GL(3,H)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL6/U(3,3)/GL(3,H)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL6/U(3,3)/GL(3,H)/kllis
t
block: blockwrite
File name for block output: GL6/U(3,3)/GL(3,H)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL6/U(3,3)/GL(3,H)/mat.bin
File name for polynomial output: GL6/U(3,3)/GL(3,H)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sl(3,H).gl(1,R)
1: sl(6,R).gl(1,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): GL6/U(3,3)/GL(6,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL6/U(3,3)/GL(6,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL6/U(3,3)/GL(6,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL6/U(3,3)/GL(6,R)/kllis
t
block: blockwrite
File name for block output: GL6/U(3,3)/GL(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL6/U(3,3)/GL(6,R)/mat.bin
File name for polynomial output: GL6/U(3,3)/GL(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(6,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5.T1
elements of finite order in the center of the simply connected group:
Z/6.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/6,1/6
enter inner class(es): ss
main: realform
(weak) real forms are:
0: sl(3,H).gl(1,R)
1: sl(6,R).gl(1,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/KGB
real: kgborder
kgbsize: 76
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(6).u(1)
1: su(5,1).u(1)
2: su(4,2).u(1)
3: su(3,3).u(1)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/U(6)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/U(6)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/U(6)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/U(6)/kllist
block: blockwrite
File name for block output: GL6/GL(6,R)/U(6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL6/GL(6,R)/U(6)/mat.bin
File name for polynomial output: GL6/GL(6,R)/U(6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(6).u(1)
1: su(5,1).u(1)
2: su(4,2).u(1)
3: su(3,3).u(1)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/U(5,1)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/U(5,1)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/U(5,1)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/U(5,1)/kllis
t
block: blockwrite
File name for block output: GL6/GL(6,R)/U(5,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL6/GL(6,R)/U(5,1)/mat.bin
File name for polynomial output: GL6/GL(6,R)/U(5,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(6).u(1)
1: su(5,1).u(1)
2: su(4,2).u(1)
3: su(3,3).u(1)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/U(4,2)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/U(4,2)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/U(4,2)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/U(4,2)/kllis
t
block: blockwrite
File name for block output: GL6/GL(6,R)/U(4,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL6/GL(6,R)/U(4,2)/mat.bin
File name for polynomial output: GL6/GL(6,R)/U(4,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(6).u(1)
1: su(5,1).u(1)
2: su(4,2).u(1)
3: su(3,3).u(1)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/U(3,3)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/U(3,3)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/U(3,3)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL6/GL(6,R)/U(3,3)/kllis
t
block: blockwrite
File name for block output: GL6/GL(6,R)/U(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL6/GL(6,R)/U(3,3)/mat.bin
File name for polynomial output: GL6/GL(6,R)/U(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(3,H)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5.T1
elements of finite order in the center of the simply connected group:
Z/6.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/6,1/6
enter inner class(es): ss
main: realform
(weak) real forms are:
0: sl(3,H).gl(1,R)
1: sl(6,R).gl(1,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): GL6/GL(3,H)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL6/GL(3,H)/KGB
real: kgborder
kgbsize: 15
Name an output file (return for stdout, ? to abandon): GL6/GL(3,H)/kgborder
real: block
there is a unique dual real form choice: su(3,3).u(1)
Name an output file (return for stdout, ? to abandon): GL6/GL(3,H)/U(3,3)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL6/GL(3,H)/U(3,3)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL6/GL(3,H)/U(3,3)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL6/GL(3,H)/U(3,3)/kllis
t
block: blockwrite
File name for block output: GL6/GL(3,H)/U(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL6/GL(3,H)/U(3,3)/mat.bin
File name for polynomial output: GL6/GL(3,H)/U(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(6,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5.A5.T1.T1
elements of finite order in the center of the simply connected group:
Z/6.Z/6.Q/Z.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/6,0/6,1/6,0/6
0/6,1/6,0/6,1/6
enter inner class(es): CC
main: cartan
there is a unique real form: sl(6,C).gl(1,C)
Name an output file (return for stdout, ? to abandon): GL6/GL(6,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL6/GL(6,C)/KGB
real: kgborder
kgbsize: 720
Name an output file (return for stdout, ? to abandon): GL6/GL(6,C)/kgborder
real: block
there is a unique dual real form choice: sl(6,C).gl(1,C)
Name an output file (return for stdout, ? to abandon): GL6/GL(6,C)/GL(6,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): GL6/GL(6,C)/GL(6,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): GL6/GL(6,C)/GL(6,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): GL6/GL(6,C)/GL(6,C)/klli
st
block: blockwrite
File name for block output: GL6/GL(6,C)/GL(6,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL6/GL(6,C)/GL(6,C)/mat.bin
File name for polynomial output: GL6/GL(6,C)/GL(6,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(7)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6.T1
elements of finite order in the center of the simply connected group:
Z/7.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/7,1/7
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(7).u(1)
1: su(6,1).u(1)
2: su(5,2).u(1)
3: su(4,3).u(1)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): GL7/U(7)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL7/U(7)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): GL7/U(7)/kgborder
real: block
there is a unique dual real form choice: sl(7,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL7/U(7)/GL(7,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): GL7/U(7)/GL(7,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): GL7/U(7)/GL(7,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): GL7/U(7)/GL(7,R)/kllist
block: blockwrite
File name for block output: GL7/U(7)/GL(7,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL7/U(7)/GL(7,R)/mat.bin
File name for polynomial output: GL7/U(7)/GL(7,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(6,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6.T1
elements of finite order in the center of the simply connected group:
Z/7.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/7,1/7
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(7).u(1)
1: su(6,1).u(1)
2: su(5,2).u(1)
3: su(4,3).u(1)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): GL7/U(6,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL7/U(6,1)/KGB
real: kgborder
kgbsize: 28
Name an output file (return for stdout, ? to abandon): GL7/U(6,1)/kgborder
real: block
there is a unique dual real form choice: sl(7,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL7/U(6,1)/GL(7,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL7/U(6,1)/GL(7,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL7/U(6,1)/GL(7,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL7/U(6,1)/GL(7,R)/kllis
t
block: blockwrite
File name for block output: GL7/U(6,1)/GL(7,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL7/U(6,1)/GL(7,R)/mat.bin
File name for polynomial output: GL7/U(6,1)/GL(7,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(5,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6.T1
elements of finite order in the center of the simply connected group:
Z/7.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/7,1/7
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(7).u(1)
1: su(6,1).u(1)
2: su(5,2).u(1)
3: su(4,3).u(1)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): GL7/U(5,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL7/U(5,2)/KGB
real: kgborder
kgbsize: 231
Name an output file (return for stdout, ? to abandon): GL7/U(5,2)/kgborder
real: block
there is a unique dual real form choice: sl(7,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL7/U(5,2)/GL(7,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL7/U(5,2)/GL(7,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL7/U(5,2)/GL(7,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL7/U(5,2)/GL(7,R)/kllis
t
block: blockwrite
File name for block output: GL7/U(5,2)/GL(7,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL7/U(5,2)/GL(7,R)/mat.bin
File name for polynomial output: GL7/U(5,2)/GL(7,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(4,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6.T1
elements of finite order in the center of the simply connected group:
Z/7.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/7,1/7
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(7).u(1)
1: su(6,1).u(1)
2: su(5,2).u(1)
3: su(4,3).u(1)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): GL7/U(4,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL7/U(4,3)/KGB
real: kgborder
kgbsize: 665
Name an output file (return for stdout, ? to abandon): GL7/U(4,3)/kgborder
real: block
there is a unique dual real form choice: sl(7,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL7/U(4,3)/GL(7,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL7/U(4,3)/GL(7,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL7/U(4,3)/GL(7,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL7/U(4,3)/GL(7,R)/kllis
t
block: blockwrite
File name for block output: GL7/U(4,3)/GL(7,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL7/U(4,3)/GL(7,R)/mat.bin
File name for polynomial output: GL7/U(4,3)/GL(7,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(7,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6.T1
elements of finite order in the center of the simply connected group:
Z/7.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/7,1/7
enter inner class(es): ss
main: realform
there is a unique real form: sl(7,R).gl(1,R)
real: cartan
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/KGB
real: kgborder
kgbsize: 232
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(7).u(1)
1: su(6,1).u(1)
2: su(5,2).u(1)
3: su(4,3).u(1)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/U(7)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/U(7)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/U(7)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/U(7)/kllist
block: blockwrite
File name for block output: GL7/GL(7,R)/U(7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL7/GL(7,R)/U(7)/mat.bin
File name for polynomial output: GL7/GL(7,R)/U(7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(7).u(1)
1: su(6,1).u(1)
2: su(5,2).u(1)
3: su(4,3).u(1)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/U(6,1)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/U(6,1)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/U(6,1)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/U(6,1)/kllis
t
block: blockwrite
File name for block output: GL7/GL(7,R)/U(6,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL7/GL(7,R)/U(6,1)/mat.bin
File name for polynomial output: GL7/GL(7,R)/U(6,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(7).u(1)
1: su(6,1).u(1)
2: su(5,2).u(1)
3: su(4,3).u(1)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/U(5,2)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/U(5,2)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/U(5,2)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/U(5,2)/kllis
t
block: blockwrite
File name for block output: GL7/GL(7,R)/U(5,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL7/GL(7,R)/U(5,2)/mat.bin
File name for polynomial output: GL7/GL(7,R)/U(5,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(7).u(1)
1: su(6,1).u(1)
2: su(5,2).u(1)
3: su(4,3).u(1)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/U(4,3)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/U(4,3)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/U(4,3)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL7/GL(7,R)/U(4,3)/kllis
t
block: blockwrite
File name for block output: GL7/GL(7,R)/U(4,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL7/GL(7,R)/U(4,3)/mat.bin
File name for polynomial output: GL7/GL(7,R)/U(4,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(7,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6.A6.T1.T1
elements of finite order in the center of the simply connected group:
Z/7.Z/7.Q/Z.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/7,0/7,1/7,0/7
0/7,1/7,0/7,1/7
enter inner class(es): CC
main: cartan
there is a unique real form: sl(7,C).gl(1,C)
Name an output file (return for stdout, ? to abandon): GL7/GL(7,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL7/GL(7,C)/KGB
real: kgborder
kgbsize: 5040
Name an output file (return for stdout, ? to abandon): GL7/GL(7,C)/kgborder
real: block
there is a unique dual real form choice: sl(7,C).gl(1,C)
Name an output file (return for stdout, ? to abandon): GL7/GL(7,C)/GL(7,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): GL7/GL(7,C)/GL(7,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): GL7/GL(7,C)/GL(7,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): GL7/GL(7,C)/GL(7,C)/klli
st
block: blockwrite
File name for block output: GL7/GL(7,C)/GL(7,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL7/GL(7,C)/GL(7,C)/mat.bin
File name for polynomial output: GL7/GL(7,C)/GL(7,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(8)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7.T1
elements of finite order in the center of the simply connected group:
Z/8.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/8,1/8
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(8).u(1)
1: su(7,1).u(1)
2: su(6,2).u(1)
3: su(5,3).u(1)
4: su(4,4).u(1)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): GL8/U(8)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL8/U(8)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): GL8/U(8)/kgborder
real: block
there is a unique dual real form choice: sl(8,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL8/U(8)/GL(8,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): GL8/U(8)/GL(8,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): GL8/U(8)/GL(8,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): GL8/U(8)/GL(8,R)/kllist
block: blockwrite
File name for block output: GL8/U(8)/GL(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL8/U(8)/GL(8,R)/mat.bin
File name for polynomial output: GL8/U(8)/GL(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(7,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7.T1
elements of finite order in the center of the simply connected group:
Z/8.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/8,1/8
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(8).u(1)
1: su(7,1).u(1)
2: su(6,2).u(1)
3: su(5,3).u(1)
4: su(4,4).u(1)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): GL8/U(7,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL8/U(7,1)/KGB
real: kgborder
kgbsize: 36
Name an output file (return for stdout, ? to abandon): GL8/U(7,1)/kgborder
real: block
there is a unique dual real form choice: sl(8,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL8/U(7,1)/GL(8,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL8/U(7,1)/GL(8,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL8/U(7,1)/GL(8,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL8/U(7,1)/GL(8,R)/kllis
t
block: blockwrite
File name for block output: GL8/U(7,1)/GL(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL8/U(7,1)/GL(8,R)/mat.bin
File name for polynomial output: GL8/U(7,1)/GL(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(6,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7.T1
elements of finite order in the center of the simply connected group:
Z/8.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/8,1/8
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(8).u(1)
1: su(7,1).u(1)
2: su(6,2).u(1)
3: su(5,3).u(1)
4: su(4,4).u(1)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): GL8/U(6,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL8/U(6,2)/KGB
real: kgborder
kgbsize: 406
Name an output file (return for stdout, ? to abandon): GL8/U(6,2)/kgborder
real: block
there is a unique dual real form choice: sl(8,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL8/U(6,2)/GL(8,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL8/U(6,2)/GL(8,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL8/U(6,2)/GL(8,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL8/U(6,2)/GL(8,R)/kllis
t
block: blockwrite
File name for block output: GL8/U(6,2)/GL(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL8/U(6,2)/GL(8,R)/mat.bin
File name for polynomial output: GL8/U(6,2)/GL(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(5,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7.T1
elements of finite order in the center of the simply connected group:
Z/8.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/8,1/8
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(8).u(1)
1: su(7,1).u(1)
2: su(6,2).u(1)
3: su(5,3).u(1)
4: su(4,4).u(1)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): GL8/U(5,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL8/U(5,3)/KGB
real: kgborder
kgbsize: 1736
Name an output file (return for stdout, ? to abandon): GL8/U(5,3)/kgborder
real: block
there is a unique dual real form choice: sl(8,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL8/U(5,3)/GL(8,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL8/U(5,3)/GL(8,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL8/U(5,3)/GL(8,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL8/U(5,3)/GL(8,R)/kllis
t
block: blockwrite
File name for block output: GL8/U(5,3)/GL(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL8/U(5,3)/GL(8,R)/mat.bin
File name for polynomial output: GL8/U(5,3)/GL(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(4,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7.T1
elements of finite order in the center of the simply connected group:
Z/8.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/8,1/8
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(8).u(1)
1: su(7,1).u(1)
2: su(6,2).u(1)
3: su(5,3).u(1)
4: su(4,4).u(1)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): GL8/U(4,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL8/U(4,4)/KGB
real: kgborder
kgbsize: 2835
Name an output file (return for stdout, ? to abandon): GL8/U(4,4)/kgborder
real: block
possible (weak) dual real forms are:
0: sl(4,H).gl(1,R)
1: sl(8,R).gl(1,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): GL8/U(4,4)/GL(4,H)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL8/U(4,4)/GL(4,H)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL8/U(4,4)/GL(4,H)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL8/U(4,4)/GL(4,H)/kllis
t
block: blockwrite
File name for block output: GL8/U(4,4)/GL(4,H)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL8/U(4,4)/GL(4,H)/mat.bin
File name for polynomial output: GL8/U(4,4)/GL(4,H)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sl(4,H).gl(1,R)
1: sl(8,R).gl(1,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): GL8/U(4,4)/GL(8,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL8/U(4,4)/GL(8,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL8/U(4,4)/GL(8,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL8/U(4,4)/GL(8,R)/kllis
t
block: blockwrite
File name for block output: GL8/U(4,4)/GL(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL8/U(4,4)/GL(8,R)/mat.bin
File name for polynomial output: GL8/U(4,4)/GL(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(8,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7.T1
elements of finite order in the center of the simply connected group:
Z/8.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/8,1/8
enter inner class(es): ss
main: realform
(weak) real forms are:
0: sl(4,H).gl(1,R)
1: sl(8,R).gl(1,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/KGB
real: kgborder
kgbsize: 764
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(8).u(1)
1: su(7,1).u(1)
2: su(6,2).u(1)
3: su(5,3).u(1)
4: su(4,4).u(1)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(8)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(8)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(8)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(8)/kllist
block: blockwrite
File name for block output: GL8/GL(8,R)/U(8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL8/GL(8,R)/U(8)/mat.bin
File name for polynomial output: GL8/GL(8,R)/U(8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(8).u(1)
1: su(7,1).u(1)
2: su(6,2).u(1)
3: su(5,3).u(1)
4: su(4,4).u(1)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(7,1)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(7,1)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(7,1)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(7,1)/kllis
t
block: blockwrite
File name for block output: GL8/GL(8,R)/U(7,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL8/GL(8,R)/U(7,1)/mat.bin
File name for polynomial output: GL8/GL(8,R)/U(7,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(8).u(1)
1: su(7,1).u(1)
2: su(6,2).u(1)
3: su(5,3).u(1)
4: su(4,4).u(1)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(6,2)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(6,2)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(6,2)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(6,2)/kllis
t
block: blockwrite
File name for block output: GL8/GL(8,R)/U(6,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL8/GL(8,R)/U(6,2)/mat.bin
File name for polynomial output: GL8/GL(8,R)/U(6,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(8).u(1)
1: su(7,1).u(1)
2: su(6,2).u(1)
3: su(5,3).u(1)
4: su(4,4).u(1)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(5,3)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(5,3)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(5,3)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(5,3)/kllis
t
block: blockwrite
File name for block output: GL8/GL(8,R)/U(5,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL8/GL(8,R)/U(5,3)/mat.bin
File name for polynomial output: GL8/GL(8,R)/U(5,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(8).u(1)
1: su(7,1).u(1)
2: su(6,2).u(1)
3: su(5,3).u(1)
4: su(4,4).u(1)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(4,4)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(4,4)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(4,4)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL8/GL(8,R)/U(4,4)/kllis
t
block: blockwrite
File name for block output: GL8/GL(8,R)/U(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL8/GL(8,R)/U(4,4)/mat.bin
File name for polynomial output: GL8/GL(8,R)/U(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(4,H)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7.T1
elements of finite order in the center of the simply connected group:
Z/8.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/8,1/8
enter inner class(es): ss
main: realform
(weak) real forms are:
0: sl(4,H).gl(1,R)
1: sl(8,R).gl(1,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): GL8/GL(4,H)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL8/GL(4,H)/KGB
real: kgborder
kgbsize: 105
Name an output file (return for stdout, ? to abandon): GL8/GL(4,H)/kgborder
real: block
there is a unique dual real form choice: su(4,4).u(1)
Name an output file (return for stdout, ? to abandon): GL8/GL(4,H)/U(4,4)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL8/GL(4,H)/U(4,4)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL8/GL(4,H)/U(4,4)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL8/GL(4,H)/U(4,4)/kllis
t
block: blockwrite
File name for block output: GL8/GL(4,H)/U(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL8/GL(4,H)/U(4,4)/mat.bin
File name for polynomial output: GL8/GL(4,H)/U(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(8,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7.A7.T1.T1
elements of finite order in the center of the simply connected group:
Z/8.Z/8.Q/Z.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/8,0/8,1/8,0/8
0/8,1/8,0/8,1/8
enter inner class(es): CC
main: cartan
there is a unique real form: sl(8,C).gl(1,C)
Name an output file (return for stdout, ? to abandon): GL8/GL(8,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL8/GL(8,C)/KGB
real: kgborder
kgbsize: 40320
Name an output file (return for stdout, ? to abandon): GL8/GL(8,C)/kgborder
real: block
there is a unique dual real form choice: sl(8,C).gl(1,C)
Name an output file (return for stdout, ? to abandon): GL8/GL(8,C)/GL(8,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): GL8/GL(8,C)/GL(8,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): GL8/GL(8,C)/GL(8,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): GL8/GL(8,C)/GL(8,C)/klli
st
block: blockwrite
File name for block output: GL8/GL(8,C)/GL(8,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL8/GL(8,C)/GL(8,C)/mat.bin
File name for polynomial output: GL8/GL(8,C)/GL(8,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(9)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8.T1
elements of finite order in the center of the simply connected group:
Z/9.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/9,1/9
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(9).u(1)
1: su(8,1).u(1)
2: su(7,2).u(1)
3: su(6,3).u(1)
4: su(5,4).u(1)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): GL9/U(9)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL9/U(9)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): GL9/U(9)/kgborder
real: block
there is a unique dual real form choice: sl(9,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL9/U(9)/GL(9,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): GL9/U(9)/GL(9,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): GL9/U(9)/GL(9,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): GL9/U(9)/GL(9,R)/kllist
block: blockwrite
File name for block output: GL9/U(9)/GL(9,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL9/U(9)/GL(9,R)/mat.bin
File name for polynomial output: GL9/U(9)/GL(9,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(8,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8.T1
elements of finite order in the center of the simply connected group:
Z/9.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/9,1/9
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(9).u(1)
1: su(8,1).u(1)
2: su(7,2).u(1)
3: su(6,3).u(1)
4: su(5,4).u(1)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): GL9/U(8,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL9/U(8,1)/KGB
real: kgborder
kgbsize: 45
Name an output file (return for stdout, ? to abandon): GL9/U(8,1)/kgborder
real: block
there is a unique dual real form choice: sl(9,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL9/U(8,1)/GL(9,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL9/U(8,1)/GL(9,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL9/U(8,1)/GL(9,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL9/U(8,1)/GL(9,R)/kllis
t
block: blockwrite
File name for block output: GL9/U(8,1)/GL(9,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL9/U(8,1)/GL(9,R)/mat.bin
File name for polynomial output: GL9/U(8,1)/GL(9,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(7,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8.T1
elements of finite order in the center of the simply connected group:
Z/9.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/9,1/9
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(9).u(1)
1: su(8,1).u(1)
2: su(7,2).u(1)
3: su(6,3).u(1)
4: su(5,4).u(1)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): GL9/U(7,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL9/U(7,2)/KGB
real: kgborder
kgbsize: 666
Name an output file (return for stdout, ? to abandon): GL9/U(7,2)/kgborder
real: block
there is a unique dual real form choice: sl(9,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL9/U(7,2)/GL(9,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL9/U(7,2)/GL(9,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL9/U(7,2)/GL(9,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL9/U(7,2)/GL(9,R)/kllis
t
block: blockwrite
File name for block output: GL9/U(7,2)/GL(9,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL9/U(7,2)/GL(9,R)/mat.bin
File name for polynomial output: GL9/U(7,2)/GL(9,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(6,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8.T1
elements of finite order in the center of the simply connected group:
Z/9.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/9,1/9
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(9).u(1)
1: su(8,1).u(1)
2: su(7,2).u(1)
3: su(6,3).u(1)
4: su(5,4).u(1)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): GL9/U(6,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL9/U(6,3)/KGB
real: kgborder
kgbsize: 3990
Name an output file (return for stdout, ? to abandon): GL9/U(6,3)/kgborder
real: block
there is a unique dual real form choice: sl(9,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL9/U(6,3)/GL(9,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL9/U(6,3)/GL(9,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL9/U(6,3)/GL(9,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL9/U(6,3)/GL(9,R)/kllis
t
block: blockwrite
File name for block output: GL9/U(6,3)/GL(9,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL9/U(6,3)/GL(9,R)/mat.bin
File name for polynomial output: GL9/U(6,3)/GL(9,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
U(5,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8.T1
elements of finite order in the center of the simply connected group:
Z/9.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/9,1/9
enter inner class(es): cc
main: realform
(weak) real forms are:
0: su(9).u(1)
1: su(8,1).u(1)
2: su(7,2).u(1)
3: su(6,3).u(1)
4: su(5,4).u(1)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): GL9/U(5,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL9/U(5,4)/KGB
real: kgborder
kgbsize: 9891
Name an output file (return for stdout, ? to abandon): GL9/U(5,4)/kgborder
real: block
there is a unique dual real form choice: sl(9,R).gl(1,R)
Name an output file (return for stdout, ? to abandon): GL9/U(5,4)/GL(9,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL9/U(5,4)/GL(9,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL9/U(5,4)/GL(9,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL9/U(5,4)/GL(9,R)/kllis
t
block: blockwrite
File name for block output: GL9/U(5,4)/GL(9,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL9/U(5,4)/GL(9,R)/mat.bin
File name for polynomial output: GL9/U(5,4)/GL(9,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(9,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8.T1
elements of finite order in the center of the simply connected group:
Z/9.Q/Z
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/9,1/9
enter inner class(es): ss
main: realform
there is a unique real form: sl(9,R).gl(1,R)
real: cartan
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/KGB
real: kgborder
kgbsize: 2620
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(9).u(1)
1: su(8,1).u(1)
2: su(7,2).u(1)
3: su(6,3).u(1)
4: su(5,4).u(1)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(9)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(9)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(9)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(9)/kllist
block: blockwrite
File name for block output: GL9/GL(9,R)/U(9)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL9/GL(9,R)/U(9)/mat.bin
File name for polynomial output: GL9/GL(9,R)/U(9)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(9).u(1)
1: su(8,1).u(1)
2: su(7,2).u(1)
3: su(6,3).u(1)
4: su(5,4).u(1)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(8,1)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(8,1)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(8,1)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(8,1)/kllis
t
block: blockwrite
File name for block output: GL9/GL(9,R)/U(8,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL9/GL(9,R)/U(8,1)/mat.bin
File name for polynomial output: GL9/GL(9,R)/U(8,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(9).u(1)
1: su(8,1).u(1)
2: su(7,2).u(1)
3: su(6,3).u(1)
4: su(5,4).u(1)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(7,2)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(7,2)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(7,2)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(7,2)/kllis
t
block: blockwrite
File name for block output: GL9/GL(9,R)/U(7,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL9/GL(9,R)/U(7,2)/mat.bin
File name for polynomial output: GL9/GL(9,R)/U(7,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(9).u(1)
1: su(8,1).u(1)
2: su(7,2).u(1)
3: su(6,3).u(1)
4: su(5,4).u(1)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(6,3)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(6,3)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(6,3)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(6,3)/kllis
t
block: blockwrite
File name for block output: GL9/GL(9,R)/U(6,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL9/GL(9,R)/U(6,3)/mat.bin
File name for polynomial output: GL9/GL(9,R)/U(6,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(9).u(1)
1: su(8,1).u(1)
2: su(7,2).u(1)
3: su(6,3).u(1)
4: su(5,4).u(1)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(5,4)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(5,4)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(5,4)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): GL9/GL(9,R)/U(5,4)/kllis
t
block: blockwrite
File name for block output: GL9/GL(9,R)/U(5,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: GL9/GL(9,R)/U(5,4)/mat.bin
File name for polynomial output: GL9/GL(9,R)/U(5,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
GL(9,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8.A8.T1.T1
sorry, rank should not exceed 16
Lie type (? to abort): 1/9,0/9,1/9,0/9
sorry, bad type 1 (should be one of ABCDEFGT)
Lie type (? to abort): 0/9,1/9,0/9,1/9
sorry, bad type 0 (should be one of ABCDEFGT)
Lie type (? to abort):
sorry, bad type (should be one of ABCDEFGT)
Lie type (? to abort): CC
sorry, in type C the rank must be between 2 and 16
Lie type (? to abort): cartan
sorry, bad type c (should be one of ABCDEFGT)
Lie type (? to abort): GL9/GL(9,C)/cartan
sorry, in type G the rank must be 2
Lie type (? to abort): KGB
sorry, bad type K (should be one of ABCDEFGT)
Lie type (? to abort): GL9/GL(9,C)/KGB
sorry, in type G the rank must be 2
Lie type (? to abort): ?
complex group not set
empty: qq
PU(2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: su(2)
1: sl(2,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PGL2/PU(2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL2/PU(2)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): PGL2/PU(2)/kgborder
real: block
there is a unique dual real form choice: sl(2,R)
Name an output file (return for stdout, ? to abandon): PGL2/PU(2)/SL(2,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL2/PU(2)/SL(2,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): PGL2/PU(2)/SL(2,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): PGL2/PU(2)/SL(2,R)/kllis
t
block: blockwrite
File name for block output: PGL2/PU(2)/SL(2,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL2/PU(2)/SL(2,R)/mat.bin
File name for polynomial output: PGL2/PU(2)/SL(2,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(2,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: su(2)
1: sl(2,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,R)/KGB
real: kgborder
kgbsize: 2
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(2)
1: sl(2,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,R)/SU(2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,R)/SU(2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,R)/SU(2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,R)/SU(2)/klli
st
block: blockwrite
File name for block output: PGL2/PGL(2,R)/SU(2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL2/PGL(2,R)/SU(2)/mat.bin
File name for polynomial output: PGL2/PGL(2,R)/SU(2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(2)
1: sl(2,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,R)/SL(2,R)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,R)/SL(2,R)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,R)/SL(2,R)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,R)/SL(2,R)/kl
list
block: blockwrite
File name for block output: PGL2/PGL(2,R)/SL(2,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL2/PGL(2,R)/SL(2,R)/mat.bin
File name for polynomial output: PGL2/PGL(2,R)/SL(2,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(2,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: sl(2,C)
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,C)/KGB
real: kgborder
kgbsize: 2
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,C)/kgborder
real: block
there is a unique dual real form choice: sl(2,C)
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,C)/SL(2,C)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,C)/SL(2,C)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,C)/SL(2,C)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL2/PGL(2,C)/SL(2,C)/kl
list
block: blockwrite
File name for block output: PGL2/PGL(2,C)/SL(2,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL2/PGL(2,C)/SL(2,C)/mat.bin
File name for polynomial output: PGL2/PGL(2,C)/SL(2,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A2
elements of finite order in the center of the simply connected group:
Z/3
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(3)
1: su(2,1)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PGL3/PU(3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL3/PU(3)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): PGL3/PU(3)/kgborder
real: block
there is a unique dual real form choice: sl(3,R)
Name an output file (return for stdout, ? to abandon): PGL3/PU(3)/SL(3,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL3/PU(3)/SL(3,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): PGL3/PU(3)/SL(3,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): PGL3/PU(3)/SL(3,R)/kllis
t
block: blockwrite
File name for block output: PGL3/PU(3)/SL(3,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL3/PU(3)/SL(3,R)/mat.bin
File name for polynomial output: PGL3/PU(3)/SL(3,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(2,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A2
elements of finite order in the center of the simply connected group:
Z/3
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(3)
1: su(2,1)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PGL3/PU(2,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL3/PU(2,1)/KGB
real: kgborder
kgbsize: 6
Name an output file (return for stdout, ? to abandon): PGL3/PU(2,1)/kgborder
real: block
there is a unique dual real form choice: sl(3,R)
Name an output file (return for stdout, ? to abandon): PGL3/PU(2,1)/SL(3,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL3/PU(2,1)/SL(3,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL3/PU(2,1)/SL(3,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL3/PU(2,1)/SL(3,R)/kll
ist
block: blockwrite
File name for block output: PGL3/PU(2,1)/SL(3,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL3/PU(2,1)/SL(3,R)/mat.bin
File name for polynomial output: PGL3/PU(2,1)/SL(3,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(3,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A2
elements of finite order in the center of the simply connected group:
Z/3
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
there is a unique real form: sl(3,R)
real: cartan
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,R)/KGB
real: kgborder
kgbsize: 4
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(3)
1: su(2,1)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,R)/SU(3)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,R)/SU(3)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,R)/SU(3)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,R)/SU(3)/klli
st
block: blockwrite
File name for block output: PGL3/PGL(3,R)/SU(3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL3/PGL(3,R)/SU(3)/mat.bin
File name for polynomial output: PGL3/PGL(3,R)/SU(3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(3)
1: su(2,1)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,R)/SU(2,1)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,R)/SU(2,1)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,R)/SU(2,1)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,R)/SU(2,1)/kl
list
block: blockwrite
File name for block output: PGL3/PGL(3,R)/SU(2,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL3/PGL(3,R)/SU(2,1)/mat.bin
File name for polynomial output: PGL3/PGL(3,R)/SU(2,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(3,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A2.A2
elements of finite order in the center of the simply connected group:
Z/3.Z/3
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: sl(3,C)
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,C)/KGB
real: kgborder
kgbsize: 6
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,C)/kgborder
real: block
there is a unique dual real form choice: sl(3,C)
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,C)/SL(3,C)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,C)/SL(3,C)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,C)/SL(3,C)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL3/PGL(3,C)/SL(3,C)/kl
list
block: blockwrite
File name for block output: PGL3/PGL(3,C)/SL(3,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL3/PGL(3,C)/SL(3,C)/mat.bin
File name for polynomial output: PGL3/PGL(3,C)/SL(3,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PGL4/PU(4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL4/PU(4)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): PGL4/PU(4)/kgborder
real: block
there is a unique dual real form choice: sl(4,R)
Name an output file (return for stdout, ? to abandon): PGL4/PU(4)/SL(4,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL4/PU(4)/SL(4,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): PGL4/PU(4)/SL(4,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): PGL4/PU(4)/SL(4,R)/kllis
t
block: blockwrite
File name for block output: PGL4/PU(4)/SL(4,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL4/PU(4)/SL(4,R)/mat.bin
File name for polynomial output: PGL4/PU(4)/SL(4,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(3,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PGL4/PU(3,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL4/PU(3,1)/KGB
real: kgborder
kgbsize: 10
Name an output file (return for stdout, ? to abandon): PGL4/PU(3,1)/kgborder
real: block
there is a unique dual real form choice: sl(4,R)
Name an output file (return for stdout, ? to abandon): PGL4/PU(3,1)/SL(4,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL4/PU(3,1)/SL(4,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL4/PU(3,1)/SL(4,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL4/PU(3,1)/SL(4,R)/kll
ist
block: blockwrite
File name for block output: PGL4/PU(3,1)/SL(4,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL4/PU(3,1)/SL(4,R)/mat.bin
File name for polynomial output: PGL4/PU(3,1)/SL(4,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(2,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PGL4/PU(2,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL4/PU(2,2)/KGB
real: kgborder
kgbsize: 12
Name an output file (return for stdout, ? to abandon): PGL4/PU(2,2)/kgborder
real: block
possible (weak) dual real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PGL4/PU(2,2)/SL(2,H)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL4/PU(2,2)/SL(2,H)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL4/PU(2,2)/SL(2,H)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL4/PU(2,2)/SL(2,H)/kll
ist
block: blockwrite
File name for block output: PGL4/PU(2,2)/SL(2,H)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL4/PU(2,2)/SL(2,H)/mat.bin
File name for polynomial output: PGL4/PU(2,2)/SL(2,H)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PGL4/PU(2,2)/SL(4,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL4/PU(2,2)/SL(4,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL4/PU(2,2)/SL(4,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL4/PU(2,2)/SL(4,R)/kll
ist
block: blockwrite
File name for block output: PGL4/PU(2,2)/SL(4,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL4/PU(2,2)/SL(4,R)/mat.bin
File name for polynomial output: PGL4/PU(2,2)/SL(4,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(4,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,R)/KGB
real: kgborder
kgbsize: 10
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,R)/SU(4)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,R)/SU(4)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,R)/SU(4)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,R)/SU(4)/klli
st
block: blockwrite
File name for block output: PGL4/PGL(4,R)/SU(4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL4/PGL(4,R)/SU(4)/mat.bin
File name for polynomial output: PGL4/PGL(4,R)/SU(4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,R)/SU(3,1)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,R)/SU(3,1)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,R)/SU(3,1)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,R)/SU(3,1)/kl
list
block: blockwrite
File name for block output: PGL4/PGL(4,R)/SU(3,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL4/PGL(4,R)/SU(3,1)/mat.bin
File name for polynomial output: PGL4/PGL(4,R)/SU(3,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,R)/SU(2,2)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,R)/SU(2,2)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,R)/SU(2,2)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,R)/SU(2,2)/kl
list
block: blockwrite
File name for block output: PGL4/PGL(4,R)/SU(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL4/PGL(4,R)/SU(2,2)/mat.bin
File name for polynomial output: PGL4/PGL(4,R)/SU(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(2,H)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PGL4/PGL(2,H)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL4/PGL(2,H)/KGB
real: kgborder
kgbsize: 3
Name an output file (return for stdout, ? to abandon): PGL4/PGL(2,H)/kgborder
real: block
there is a unique dual real form choice: su(2,2)
Name an output file (return for stdout, ? to abandon): PGL4/PGL(2,H)/SU(2,2)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL4/PGL(2,H)/SU(2,2)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL4/PGL(2,H)/SU(2,2)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL4/PGL(2,H)/SU(2,2)/kl
list
block: blockwrite
File name for block output: PGL4/PGL(2,H)/SU(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL4/PGL(2,H)/SU(2,2)/mat.bin
File name for polynomial output: PGL4/PGL(2,H)/SU(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(4,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3.A3
elements of finite order in the center of the simply connected group:
Z/4.Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: sl(4,C)
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,C)/KGB
real: kgborder
kgbsize: 24
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,C)/kgborder
real: block
there is a unique dual real form choice: sl(4,C)
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,C)/SL(4,C)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,C)/SL(4,C)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,C)/SL(4,C)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL4/PGL(4,C)/SL(4,C)/kl
list
block: blockwrite
File name for block output: PGL4/PGL(4,C)/SL(4,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL4/PGL(4,C)/SL(4,C)/mat.bin
File name for polynomial output: PGL4/PGL(4,C)/SL(4,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A4
elements of finite order in the center of the simply connected group:
Z/5
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(5)
1: su(4,1)
2: su(3,2)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PGL5/PU(5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL5/PU(5)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): PGL5/PU(5)/kgborder
real: block
there is a unique dual real form choice: sl(5,R)
Name an output file (return for stdout, ? to abandon): PGL5/PU(5)/SL(5,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL5/PU(5)/SL(5,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): PGL5/PU(5)/SL(5,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): PGL5/PU(5)/SL(5,R)/kllis
t
block: blockwrite
File name for block output: PGL5/PU(5)/SL(5,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL5/PU(5)/SL(5,R)/mat.bin
File name for polynomial output: PGL5/PU(5)/SL(5,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(4,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A4
elements of finite order in the center of the simply connected group:
Z/5
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(5)
1: su(4,1)
2: su(3,2)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PGL5/PU(4,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL5/PU(4,1)/KGB
real: kgborder
kgbsize: 15
Name an output file (return for stdout, ? to abandon): PGL5/PU(4,1)/kgborder
real: block
there is a unique dual real form choice: sl(5,R)
Name an output file (return for stdout, ? to abandon): PGL5/PU(4,1)/SL(5,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL5/PU(4,1)/SL(5,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL5/PU(4,1)/SL(5,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL5/PU(4,1)/SL(5,R)/kll
ist
block: blockwrite
File name for block output: PGL5/PU(4,1)/SL(5,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL5/PU(4,1)/SL(5,R)/mat.bin
File name for polynomial output: PGL5/PU(4,1)/SL(5,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(3,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A4
elements of finite order in the center of the simply connected group:
Z/5
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(5)
1: su(4,1)
2: su(3,2)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PGL5/PU(3,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL5/PU(3,2)/KGB
real: kgborder
kgbsize: 55
Name an output file (return for stdout, ? to abandon): PGL5/PU(3,2)/kgborder
real: block
there is a unique dual real form choice: sl(5,R)
Name an output file (return for stdout, ? to abandon): PGL5/PU(3,2)/SL(5,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL5/PU(3,2)/SL(5,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL5/PU(3,2)/SL(5,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL5/PU(3,2)/SL(5,R)/kll
ist
block: blockwrite
File name for block output: PGL5/PU(3,2)/SL(5,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL5/PU(3,2)/SL(5,R)/mat.bin
File name for polynomial output: PGL5/PU(3,2)/SL(5,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(5,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A4
elements of finite order in the center of the simply connected group:
Z/5
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
there is a unique real form: sl(5,R)
real: cartan
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,R)/KGB
real: kgborder
kgbsize: 26
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(5)
1: su(4,1)
2: su(3,2)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,R)/SU(5)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,R)/SU(5)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,R)/SU(5)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,R)/SU(5)/klli
st
block: blockwrite
File name for block output: PGL5/PGL(5,R)/SU(5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL5/PGL(5,R)/SU(5)/mat.bin
File name for polynomial output: PGL5/PGL(5,R)/SU(5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(5)
1: su(4,1)
2: su(3,2)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,R)/SU(4,1)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,R)/SU(4,1)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,R)/SU(4,1)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,R)/SU(4,1)/kl
list
block: blockwrite
File name for block output: PGL5/PGL(5,R)/SU(4,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL5/PGL(5,R)/SU(4,1)/mat.bin
File name for polynomial output: PGL5/PGL(5,R)/SU(4,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(5)
1: su(4,1)
2: su(3,2)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,R)/SU(3,2)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,R)/SU(3,2)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,R)/SU(3,2)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,R)/SU(3,2)/kl
list
block: blockwrite
File name for block output: PGL5/PGL(5,R)/SU(3,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL5/PGL(5,R)/SU(3,2)/mat.bin
File name for polynomial output: PGL5/PGL(5,R)/SU(3,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(5,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A4.A4
elements of finite order in the center of the simply connected group:
Z/5.Z/5
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: sl(5,C)
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,C)/KGB
real: kgborder
kgbsize: 120
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,C)/kgborder
real: block
there is a unique dual real form choice: sl(5,C)
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,C)/SL(5,C)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,C)/SL(5,C)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,C)/SL(5,C)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL5/PGL(5,C)/SL(5,C)/kl
list
block: blockwrite
File name for block output: PGL5/PGL(5,C)/SL(5,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL5/PGL(5,C)/SL(5,C)/mat.bin
File name for polynomial output: PGL5/PGL(5,C)/SL(5,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5
elements of finite order in the center of the simply connected group:
Z/6
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(6)
1: su(5,1)
2: su(4,2)
3: su(3,3)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PGL6/PU(6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL6/PU(6)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): PGL6/PU(6)/kgborder
real: block
there is a unique dual real form choice: sl(6,R)
Name an output file (return for stdout, ? to abandon): PGL6/PU(6)/SL(6,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL6/PU(6)/SL(6,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): PGL6/PU(6)/SL(6,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): PGL6/PU(6)/SL(6,R)/kllis
t
block: blockwrite
File name for block output: PGL6/PU(6)/SL(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL6/PU(6)/SL(6,R)/mat.bin
File name for polynomial output: PGL6/PU(6)/SL(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(5,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5
elements of finite order in the center of the simply connected group:
Z/6
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(6)
1: su(5,1)
2: su(4,2)
3: su(3,3)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PGL6/PU(5,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL6/PU(5,1)/KGB
real: kgborder
kgbsize: 21
Name an output file (return for stdout, ? to abandon): PGL6/PU(5,1)/kgborder
real: block
there is a unique dual real form choice: sl(6,R)
Name an output file (return for stdout, ? to abandon): PGL6/PU(5,1)/SL(6,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL6/PU(5,1)/SL(6,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL6/PU(5,1)/SL(6,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL6/PU(5,1)/SL(6,R)/kll
ist
block: blockwrite
File name for block output: PGL6/PU(5,1)/SL(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL6/PU(5,1)/SL(6,R)/mat.bin
File name for polynomial output: PGL6/PU(5,1)/SL(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(4,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5
elements of finite order in the center of the simply connected group:
Z/6
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(6)
1: su(5,1)
2: su(4,2)
3: su(3,3)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PGL6/PU(4,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL6/PU(4,2)/KGB
real: kgborder
kgbsize: 120
Name an output file (return for stdout, ? to abandon): PGL6/PU(4,2)/kgborder
real: block
there is a unique dual real form choice: sl(6,R)
Name an output file (return for stdout, ? to abandon): PGL6/PU(4,2)/SL(6,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL6/PU(4,2)/SL(6,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL6/PU(4,2)/SL(6,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL6/PU(4,2)/SL(6,R)/kll
ist
block: blockwrite
File name for block output: PGL6/PU(4,2)/SL(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL6/PU(4,2)/SL(6,R)/mat.bin
File name for polynomial output: PGL6/PU(4,2)/SL(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(3,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5
elements of finite order in the center of the simply connected group:
Z/6
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(6)
1: su(5,1)
2: su(4,2)
3: su(3,3)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): PGL6/PU(3,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL6/PU(3,3)/KGB
real: kgborder
kgbsize: 115
Name an output file (return for stdout, ? to abandon): PGL6/PU(3,3)/kgborder
real: block
possible (weak) dual real forms are:
0: sl(3,H)
1: sl(6,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PGL6/PU(3,3)/SL(3,H)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL6/PU(3,3)/SL(3,H)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL6/PU(3,3)/SL(3,H)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL6/PU(3,3)/SL(3,H)/kll
ist
block: blockwrite
File name for block output: PGL6/PU(3,3)/SL(3,H)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL6/PU(3,3)/SL(3,H)/mat.bin
File name for polynomial output: PGL6/PU(3,3)/SL(3,H)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sl(3,H)
1: sl(6,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PGL6/PU(3,3)/SL(6,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL6/PU(3,3)/SL(6,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL6/PU(3,3)/SL(6,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL6/PU(3,3)/SL(6,R)/kll
ist
block: blockwrite
File name for block output: PGL6/PU(3,3)/SL(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL6/PU(3,3)/SL(6,R)/mat.bin
File name for polynomial output: PGL6/PU(3,3)/SL(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(6,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5
elements of finite order in the center of the simply connected group:
Z/6
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(3,H)
1: sl(6,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/KGB
real: kgborder
kgbsize: 76
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(6)
1: su(5,1)
2: su(4,2)
3: su(3,3)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/SU(6)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/SU(6)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/SU(6)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/SU(6)/klli
st
block: blockwrite
File name for block output: PGL6/PGL(6,R)/SU(6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL6/PGL(6,R)/SU(6)/mat.bin
File name for polynomial output: PGL6/PGL(6,R)/SU(6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(6)
1: su(5,1)
2: su(4,2)
3: su(3,3)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/SU(5,1)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/SU(5,1)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/SU(5,1)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/SU(5,1)/kl
list
block: blockwrite
File name for block output: PGL6/PGL(6,R)/SU(5,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL6/PGL(6,R)/SU(5,1)/mat.bin
File name for polynomial output: PGL6/PGL(6,R)/SU(5,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(6)
1: su(5,1)
2: su(4,2)
3: su(3,3)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/SU(4,2)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/SU(4,2)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/SU(4,2)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/SU(4,2)/kl
list
block: blockwrite
File name for block output: PGL6/PGL(6,R)/SU(4,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL6/PGL(6,R)/SU(4,2)/mat.bin
File name for polynomial output: PGL6/PGL(6,R)/SU(4,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(6)
1: su(5,1)
2: su(4,2)
3: su(3,3)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/SU(3,3)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/SU(3,3)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/SU(3,3)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,R)/SU(3,3)/kl
list
block: blockwrite
File name for block output: PGL6/PGL(6,R)/SU(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL6/PGL(6,R)/SU(3,3)/mat.bin
File name for polynomial output: PGL6/PGL(6,R)/SU(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(3,H)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5
elements of finite order in the center of the simply connected group:
Z/6
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(3,H)
1: sl(6,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PGL6/PGL(3,H)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL6/PGL(3,H)/KGB
real: kgborder
kgbsize: 15
Name an output file (return for stdout, ? to abandon): PGL6/PGL(3,H)/kgborder
real: block
there is a unique dual real form choice: su(3,3)
Name an output file (return for stdout, ? to abandon): PGL6/PGL(3,H)/SU(3,3)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL6/PGL(3,H)/SU(3,3)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL6/PGL(3,H)/SU(3,3)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL6/PGL(3,H)/SU(3,3)/kl
list
block: blockwrite
File name for block output: PGL6/PGL(3,H)/SU(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL6/PGL(3,H)/SU(3,3)/mat.bin
File name for polynomial output: PGL6/PGL(3,H)/SU(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(6,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A5.A5
elements of finite order in the center of the simply connected group:
Z/6.Z/6
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: sl(6,C)
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,C)/KGB
real: kgborder
kgbsize: 720
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,C)/kgborder
real: block
there is a unique dual real form choice: sl(6,C)
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,C)/SL(6,C)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,C)/SL(6,C)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,C)/SL(6,C)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL6/PGL(6,C)/SL(6,C)/kl
list
block: blockwrite
File name for block output: PGL6/PGL(6,C)/SL(6,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL6/PGL(6,C)/SL(6,C)/mat.bin
File name for polynomial output: PGL6/PGL(6,C)/SL(6,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(7)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6
elements of finite order in the center of the simply connected group:
Z/7
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(7)
1: su(6,1)
2: su(5,2)
3: su(4,3)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PGL7/PU(7)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL7/PU(7)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): PGL7/PU(7)/kgborder
real: block
there is a unique dual real form choice: sl(7,R)
Name an output file (return for stdout, ? to abandon): PGL7/PU(7)/SL(7,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL7/PU(7)/SL(7,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): PGL7/PU(7)/SL(7,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): PGL7/PU(7)/SL(7,R)/kllis
t
block: blockwrite
File name for block output: PGL7/PU(7)/SL(7,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL7/PU(7)/SL(7,R)/mat.bin
File name for polynomial output: PGL7/PU(7)/SL(7,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(6,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6
elements of finite order in the center of the simply connected group:
Z/7
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(7)
1: su(6,1)
2: su(5,2)
3: su(4,3)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PGL7/PU(6,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL7/PU(6,1)/KGB
real: kgborder
kgbsize: 28
Name an output file (return for stdout, ? to abandon): PGL7/PU(6,1)/kgborder
real: block
there is a unique dual real form choice: sl(7,R)
Name an output file (return for stdout, ? to abandon): PGL7/PU(6,1)/SL(7,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL7/PU(6,1)/SL(7,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL7/PU(6,1)/SL(7,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL7/PU(6,1)/SL(7,R)/kll
ist
block: blockwrite
File name for block output: PGL7/PU(6,1)/SL(7,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL7/PU(6,1)/SL(7,R)/mat.bin
File name for polynomial output: PGL7/PU(6,1)/SL(7,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(5,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6
elements of finite order in the center of the simply connected group:
Z/7
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(7)
1: su(6,1)
2: su(5,2)
3: su(4,3)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PGL7/PU(5,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL7/PU(5,2)/KGB
real: kgborder
kgbsize: 231
Name an output file (return for stdout, ? to abandon): PGL7/PU(5,2)/kgborder
real: block
there is a unique dual real form choice: sl(7,R)
Name an output file (return for stdout, ? to abandon): PGL7/PU(5,2)/SL(7,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL7/PU(5,2)/SL(7,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL7/PU(5,2)/SL(7,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL7/PU(5,2)/SL(7,R)/kll
ist
block: blockwrite
File name for block output: PGL7/PU(5,2)/SL(7,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL7/PU(5,2)/SL(7,R)/mat.bin
File name for polynomial output: PGL7/PU(5,2)/SL(7,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(4,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6
elements of finite order in the center of the simply connected group:
Z/7
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(7)
1: su(6,1)
2: su(5,2)
3: su(4,3)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): PGL7/PU(4,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL7/PU(4,3)/KGB
real: kgborder
kgbsize: 665
Name an output file (return for stdout, ? to abandon): PGL7/PU(4,3)/kgborder
real: block
there is a unique dual real form choice: sl(7,R)
Name an output file (return for stdout, ? to abandon): PGL7/PU(4,3)/SL(7,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL7/PU(4,3)/SL(7,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL7/PU(4,3)/SL(7,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL7/PU(4,3)/SL(7,R)/kll
ist
block: blockwrite
File name for block output: PGL7/PU(4,3)/SL(7,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL7/PU(4,3)/SL(7,R)/mat.bin
File name for polynomial output: PGL7/PU(4,3)/SL(7,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(7,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6
elements of finite order in the center of the simply connected group:
Z/7
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
there is a unique real form: sl(7,R)
real: cartan
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/KGB
real: kgborder
kgbsize: 232
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(7)
1: su(6,1)
2: su(5,2)
3: su(4,3)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/SU(7)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/SU(7)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/SU(7)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/SU(7)/klli
st
block: blockwrite
File name for block output: PGL7/PGL(7,R)/SU(7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL7/PGL(7,R)/SU(7)/mat.bin
File name for polynomial output: PGL7/PGL(7,R)/SU(7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(7)
1: su(6,1)
2: su(5,2)
3: su(4,3)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/SU(6,1)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/SU(6,1)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/SU(6,1)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/SU(6,1)/kl
list
block: blockwrite
File name for block output: PGL7/PGL(7,R)/SU(6,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL7/PGL(7,R)/SU(6,1)/mat.bin
File name for polynomial output: PGL7/PGL(7,R)/SU(6,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(7)
1: su(6,1)
2: su(5,2)
3: su(4,3)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/SU(5,2)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/SU(5,2)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/SU(5,2)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/SU(5,2)/kl
list
block: blockwrite
File name for block output: PGL7/PGL(7,R)/SU(5,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL7/PGL(7,R)/SU(5,2)/mat.bin
File name for polynomial output: PGL7/PGL(7,R)/SU(5,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(7)
1: su(6,1)
2: su(5,2)
3: su(4,3)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/SU(4,3)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/SU(4,3)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/SU(4,3)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,R)/SU(4,3)/kl
list
block: blockwrite
File name for block output: PGL7/PGL(7,R)/SU(4,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL7/PGL(7,R)/SU(4,3)/mat.bin
File name for polynomial output: PGL7/PGL(7,R)/SU(4,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(7,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A6.A6
elements of finite order in the center of the simply connected group:
Z/7.Z/7
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: sl(7,C)
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,C)/KGB
real: kgborder
kgbsize: 5040
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,C)/kgborder
real: block
there is a unique dual real form choice: sl(7,C)
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,C)/SL(7,C)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,C)/SL(7,C)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,C)/SL(7,C)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL7/PGL(7,C)/SL(7,C)/kl
list
block: blockwrite
File name for block output: PGL7/PGL(7,C)/SL(7,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL7/PGL(7,C)/SL(7,C)/mat.bin
File name for polynomial output: PGL7/PGL(7,C)/SL(7,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(8)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7
elements of finite order in the center of the simply connected group:
Z/8
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PGL8/PU(8)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL8/PU(8)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): PGL8/PU(8)/kgborder
real: block
there is a unique dual real form choice: sl(8,R)
Name an output file (return for stdout, ? to abandon): PGL8/PU(8)/SL(8,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL8/PU(8)/SL(8,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): PGL8/PU(8)/SL(8,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): PGL8/PU(8)/SL(8,R)/kllis
t
block: blockwrite
File name for block output: PGL8/PU(8)/SL(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL8/PU(8)/SL(8,R)/mat.bin
File name for polynomial output: PGL8/PU(8)/SL(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(7,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7
elements of finite order in the center of the simply connected group:
Z/8
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PGL8/PU(7,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL8/PU(7,1)/KGB
real: kgborder
kgbsize: 36
Name an output file (return for stdout, ? to abandon): PGL8/PU(7,1)/kgborder
real: block
there is a unique dual real form choice: sl(8,R)
Name an output file (return for stdout, ? to abandon): PGL8/PU(7,1)/SL(8,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL8/PU(7,1)/SL(8,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL8/PU(7,1)/SL(8,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL8/PU(7,1)/SL(8,R)/kll
ist
block: blockwrite
File name for block output: PGL8/PU(7,1)/SL(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL8/PU(7,1)/SL(8,R)/mat.bin
File name for polynomial output: PGL8/PU(7,1)/SL(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(6,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7
elements of finite order in the center of the simply connected group:
Z/8
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PGL8/PU(6,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL8/PU(6,2)/KGB
real: kgborder
kgbsize: 406
Name an output file (return for stdout, ? to abandon): PGL8/PU(6,2)/kgborder
real: block
there is a unique dual real form choice: sl(8,R)
Name an output file (return for stdout, ? to abandon): PGL8/PU(6,2)/SL(8,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL8/PU(6,2)/SL(8,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL8/PU(6,2)/SL(8,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL8/PU(6,2)/SL(8,R)/kll
ist
block: blockwrite
File name for block output: PGL8/PU(6,2)/SL(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL8/PU(6,2)/SL(8,R)/mat.bin
File name for polynomial output: PGL8/PU(6,2)/SL(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(5,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7
elements of finite order in the center of the simply connected group:
Z/8
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): PGL8/PU(5,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL8/PU(5,3)/KGB
real: kgborder
kgbsize: 1736
Name an output file (return for stdout, ? to abandon): PGL8/PU(5,3)/kgborder
real: block
there is a unique dual real form choice: sl(8,R)
Name an output file (return for stdout, ? to abandon): PGL8/PU(5,3)/SL(8,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL8/PU(5,3)/SL(8,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL8/PU(5,3)/SL(8,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL8/PU(5,3)/SL(8,R)/kll
ist
block: blockwrite
File name for block output: PGL8/PU(5,3)/SL(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL8/PU(5,3)/SL(8,R)/mat.bin
File name for polynomial output: PGL8/PU(5,3)/SL(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(4,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7
elements of finite order in the center of the simply connected group:
Z/8
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): PGL8/PU(4,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL8/PU(4,4)/KGB
real: kgborder
kgbsize: 1470
Name an output file (return for stdout, ? to abandon): PGL8/PU(4,4)/kgborder
real: block
possible (weak) dual real forms are:
0: sl(4,H)
1: sl(8,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PGL8/PU(4,4)/SL(4,H)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL8/PU(4,4)/SL(4,H)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL8/PU(4,4)/SL(4,H)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL8/PU(4,4)/SL(4,H)/kll
ist
block: blockwrite
File name for block output: PGL8/PU(4,4)/SL(4,H)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL8/PU(4,4)/SL(4,H)/mat.bin
File name for polynomial output: PGL8/PU(4,4)/SL(4,H)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sl(4,H)
1: sl(8,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PGL8/PU(4,4)/SL(8,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL8/PU(4,4)/SL(8,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL8/PU(4,4)/SL(8,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL8/PU(4,4)/SL(8,R)/kll
ist
block: blockwrite
File name for block output: PGL8/PU(4,4)/SL(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL8/PU(4,4)/SL(8,R)/mat.bin
File name for polynomial output: PGL8/PU(4,4)/SL(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(8,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7
elements of finite order in the center of the simply connected group:
Z/8
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(4,H)
1: sl(8,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/KGB
real: kgborder
kgbsize: 764
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(8)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(8)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(8)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(8)/klli
st
block: blockwrite
File name for block output: PGL8/PGL(8,R)/SU(8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL8/PGL(8,R)/SU(8)/mat.bin
File name for polynomial output: PGL8/PGL(8,R)/SU(8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(7,1)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(7,1)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(7,1)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(7,1)/kl
list
block: blockwrite
File name for block output: PGL8/PGL(8,R)/SU(7,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL8/PGL(8,R)/SU(7,1)/mat.bin
File name for polynomial output: PGL8/PGL(8,R)/SU(7,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(6,2)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(6,2)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(6,2)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(6,2)/kl
list
block: blockwrite
File name for block output: PGL8/PGL(8,R)/SU(6,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL8/PGL(8,R)/SU(6,2)/mat.bin
File name for polynomial output: PGL8/PGL(8,R)/SU(6,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(5,3)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(5,3)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(5,3)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(5,3)/kl
list
block: blockwrite
File name for block output: PGL8/PGL(8,R)/SU(5,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL8/PGL(8,R)/SU(5,3)/mat.bin
File name for polynomial output: PGL8/PGL(8,R)/SU(5,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(8)
1: su(7,1)
2: su(6,2)
3: su(5,3)
4: su(4,4)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(4,4)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(4,4)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(4,4)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,R)/SU(4,4)/kl
list
block: blockwrite
File name for block output: PGL8/PGL(8,R)/SU(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL8/PGL(8,R)/SU(4,4)/mat.bin
File name for polynomial output: PGL8/PGL(8,R)/SU(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(4,H)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7
elements of finite order in the center of the simply connected group:
Z/8
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(4,H)
1: sl(8,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PGL8/PGL(4,H)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL8/PGL(4,H)/KGB
real: kgborder
kgbsize: 105
Name an output file (return for stdout, ? to abandon): PGL8/PGL(4,H)/kgborder
real: block
there is a unique dual real form choice: su(4,4)
Name an output file (return for stdout, ? to abandon): PGL8/PGL(4,H)/SU(4,4)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL8/PGL(4,H)/SU(4,4)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL8/PGL(4,H)/SU(4,4)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL8/PGL(4,H)/SU(4,4)/kl
list
block: blockwrite
File name for block output: PGL8/PGL(4,H)/SU(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL8/PGL(4,H)/SU(4,4)/mat.bin
File name for polynomial output: PGL8/PGL(4,H)/SU(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(8,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A7.A7
elements of finite order in the center of the simply connected group:
Z/8.Z/8
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: sl(8,C)
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,C)/KGB
real: kgborder
kgbsize: 40320
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,C)/kgborder
real: block
there is a unique dual real form choice: sl(8,C)
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,C)/SL(8,C)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,C)/SL(8,C)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,C)/SL(8,C)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL8/PGL(8,C)/SL(8,C)/kl
list
block: blockwrite
File name for block output: PGL8/PGL(8,C)/SL(8,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL8/PGL(8,C)/SL(8,C)/mat.bin
File name for polynomial output: PGL8/PGL(8,C)/SL(8,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(9)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8
elements of finite order in the center of the simply connected group:
Z/9
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PGL9/PU(9)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL9/PU(9)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): PGL9/PU(9)/kgborder
real: block
there is a unique dual real form choice: sl(9,R)
Name an output file (return for stdout, ? to abandon): PGL9/PU(9)/SL(9,R)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL9/PU(9)/SL(9,R)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): PGL9/PU(9)/SL(9,R)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): PGL9/PU(9)/SL(9,R)/kllis
t
block: blockwrite
File name for block output: PGL9/PU(9)/SL(9,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL9/PU(9)/SL(9,R)/mat.bin
File name for polynomial output: PGL9/PU(9)/SL(9,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(8,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8
elements of finite order in the center of the simply connected group:
Z/9
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PGL9/PU(8,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL9/PU(8,1)/KGB
real: kgborder
kgbsize: 45
Name an output file (return for stdout, ? to abandon): PGL9/PU(8,1)/kgborder
real: block
there is a unique dual real form choice: sl(9,R)
Name an output file (return for stdout, ? to abandon): PGL9/PU(8,1)/SL(9,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL9/PU(8,1)/SL(9,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL9/PU(8,1)/SL(9,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL9/PU(8,1)/SL(9,R)/kll
ist
block: blockwrite
File name for block output: PGL9/PU(8,1)/SL(9,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL9/PU(8,1)/SL(9,R)/mat.bin
File name for polynomial output: PGL9/PU(8,1)/SL(9,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(7,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8
elements of finite order in the center of the simply connected group:
Z/9
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PGL9/PU(7,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL9/PU(7,2)/KGB
real: kgborder
kgbsize: 666
Name an output file (return for stdout, ? to abandon): PGL9/PU(7,2)/kgborder
real: block
there is a unique dual real form choice: sl(9,R)
Name an output file (return for stdout, ? to abandon): PGL9/PU(7,2)/SL(9,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL9/PU(7,2)/SL(9,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL9/PU(7,2)/SL(9,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL9/PU(7,2)/SL(9,R)/kll
ist
block: blockwrite
File name for block output: PGL9/PU(7,2)/SL(9,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL9/PU(7,2)/SL(9,R)/mat.bin
File name for polynomial output: PGL9/PU(7,2)/SL(9,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(6,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8
elements of finite order in the center of the simply connected group:
Z/9
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): PGL9/PU(6,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL9/PU(6,3)/KGB
real: kgborder
kgbsize: 3990
Name an output file (return for stdout, ? to abandon): PGL9/PU(6,3)/kgborder
real: block
there is a unique dual real form choice: sl(9,R)
Name an output file (return for stdout, ? to abandon): PGL9/PU(6,3)/SL(9,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL9/PU(6,3)/SL(9,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL9/PU(6,3)/SL(9,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL9/PU(6,3)/SL(9,R)/kll
ist
block: blockwrite
File name for block output: PGL9/PU(6,3)/SL(9,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL9/PU(6,3)/SL(9,R)/mat.bin
File name for polynomial output: PGL9/PU(6,3)/SL(9,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PU(5,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8
elements of finite order in the center of the simply connected group:
Z/9
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): PGL9/PU(5,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL9/PU(5,4)/KGB
real: kgborder
kgbsize: 9891
Name an output file (return for stdout, ? to abandon): PGL9/PU(5,4)/kgborder
real: block
there is a unique dual real form choice: sl(9,R)
Name an output file (return for stdout, ? to abandon): PGL9/PU(5,4)/SL(9,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL9/PU(5,4)/SL(9,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL9/PU(5,4)/SL(9,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL9/PU(5,4)/SL(9,R)/kll
ist
block: blockwrite
File name for block output: PGL9/PU(5,4)/SL(9,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL9/PU(5,4)/SL(9,R)/mat.bin
File name for polynomial output: PGL9/PU(5,4)/SL(9,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(9,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8
elements of finite order in the center of the simply connected group:
Z/9
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
there is a unique real form: sl(9,R)
real: cartan
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/KGB
real: kgborder
kgbsize: 2620
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/kgborder
real: block
possible (weak) dual real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(9)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(9)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(9)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(9)/klli
st
block: blockwrite
File name for block output: PGL9/PGL(9,R)/SU(9)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL9/PGL(9,R)/SU(9)/mat.bin
File name for polynomial output: PGL9/PGL(9,R)/SU(9)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(8,1)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(8,1)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(8,1)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(8,1)/kl
list
block: blockwrite
File name for block output: PGL9/PGL(9,R)/SU(8,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL9/PGL(9,R)/SU(8,1)/mat.bin
File name for polynomial output: PGL9/PGL(9,R)/SU(8,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(7,2)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(7,2)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(7,2)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(7,2)/kl
list
block: blockwrite
File name for block output: PGL9/PGL(9,R)/SU(7,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL9/PGL(9,R)/SU(7,2)/mat.bin
File name for polynomial output: PGL9/PGL(9,R)/SU(7,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(6,3)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(6,3)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(6,3)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(6,3)/kl
list
block: blockwrite
File name for block output: PGL9/PGL(9,R)/SU(6,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL9/PGL(9,R)/SU(6,3)/mat.bin
File name for polynomial output: PGL9/PGL(9,R)/SU(6,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(9)
1: su(8,1)
2: su(7,2)
3: su(6,3)
4: su(5,4)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(5,4)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(5,4)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(5,4)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,R)/SU(5,4)/kl
list
block: blockwrite
File name for block output: PGL9/PGL(9,R)/SU(5,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PGL9/PGL(9,R)/SU(5,4)/mat.bin
File name for polynomial output: PGL9/PGL(9,R)/SU(5,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PGL(9,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A8.A8
elements of finite order in the center of the simply connected group:
Z/9.Z/9
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: sl(9,C)
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PGL9/PGL(9,C)/KGB
real: ?
?: not found
real: qq
SO(3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2
enter inner class(es): s
main: realform
(weak) real forms are:
0: su(2)
1: sl(2,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO3/SO(3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO3/SO(3)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SO3/SO(3)/kgborder
real: block
there is a unique dual real form choice: sl(2,R)
Name an output file (return for stdout, ? to abandon): SO3/SO(3)/SO(2,1)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SO3/SO(3)/SO(2,1)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SO3/SO(3)/SO(2,1)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SO3/SO(3)/SO(2,1)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SO3/SO(3)/SO(2,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO3/SO(3)/SO(2,1)/mat.bin
File name for polynomial output: SO3/SO(3)/SO(2,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(2,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2
enter inner class(es): s
main: realform
(weak) real forms are:
0: su(2)
1: sl(2,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO3/SO(2,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO3/SO(2,1)/KGB
real: kgborder
kgbsize: 2
Name an output file (return for stdout, ? to abandon): SO3/SO(2,1)/kgborder
real: block
possible (weak) dual real forms are:
0: su(2)
1: sl(2,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO3/SO(2,1)/SO(3)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SO3/SO(2,1)/SO(3)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SO3/SO(2,1)/SO(3)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SO3/SO(2,1)/SO(3)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SO3/SO(2,1)/SO(3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO3/SO(2,1)/SO(3)/mat.bin
File name for polynomial output: SO3/SO(2,1)/SO(3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(2)
1: sl(2,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO3/SO(2,1)/SO(2,1)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO3/SO(2,1)/SO(2,1)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO3/SO(2,1)/SO(2,1)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO3/SO(2,1)/SO(2,1)/klli
st
block: blockwrite
File name for block output: SO3/SO(2,1)/SO(2,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO3/SO(2,1)/SO(2,1)/mat.bin
File name for polynomial output: SO3/SO(2,1)/SO(2,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(3,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4,0/4
denominator in entry #1 should be 2
bad input line --- ignored
0/4,2/4
denominator in entry #1 should be 2
bad input line --- ignored
enter inner class(es): C
main: cartan
there is a unique real form: sl(2,C)
Name an output file (return for stdout, ? to abandon): SO3/SO(3,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO3/SO(3,C)/KGB
real: kgborder
kgbsize: 2
Name an output file (return for stdout, ? to abandon): SO3/SO(3,C)/kgborder
real: block
there is a unique dual real form choice: sl(2,C)
Name an output file (return for stdout, ? to abandon): SO3/SO(3,C)/SO(3,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO3/SO(3,C)/SO(3,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO3/SO(3,C)/SO(3,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO3/SO(3,C)/SO(3,C)/klli
st
block: blockwrite
File name for block output: SO3/SO(3,C)/SO(3,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO3/SO(3,C)/SO(3,C)/mat.bin
File name for polynomial output: SO3/SO(3,C)/SO(3,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): ss
main: realform
(weak) real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO4/SO(4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO4/SO(4)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SO4/SO(4)/kgborder
real: block
there is a unique dual real form choice: sl(2,R).sl(2,R)
Name an output file (return for stdout, ? to abandon): SO4/SO(4)/SO(2,2)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SO4/SO(4)/SO(2,2)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SO4/SO(4)/SO(2,2)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SO4/SO(4)/SO(2,2)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SO4/SO(4)/SO(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO4/SO(4)/SO(2,2)/mat.bin
File name for polynomial output: SO4/SO(4)/SO(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(3,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): C
main: cartan
there is a unique real form: sl(2,C)
Name an output file (return for stdout, ? to abandon): SO4/SO(3,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO4/SO(3,1)/KGB
real: kgborder
kgbsize: 2
Name an output file (return for stdout, ? to abandon): SO4/SO(3,1)/kgborder
real: block
there is a unique dual real form choice: sl(2,C)
Name an output file (return for stdout, ? to abandon): SO4/SO(3,1)/SO(3,1)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO4/SO(3,1)/SO(3,1)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO4/SO(3,1)/SO(3,1)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO4/SO(3,1)/SO(3,1)/klli
st
block: blockwrite
File name for block output: SO4/SO(3,1)/SO(3,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO4/SO(3,1)/SO(3,1)/mat.bin
File name for polynomial output: SO4/SO(3,1)/SO(3,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(2,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): ss
main: realform
(weak) real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/KGB
real: kgborder
kgbsize: 5
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/kgborder
real: block
possible (weak) dual real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/SO(4)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/SO(4)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/SO(4)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/SO(4)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SO4/SO(2,2)/SO(4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO4/SO(2,2)/SO(4)/mat.bin
File name for polynomial output: SO4/SO(2,2)/SO(4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/SO*(4)+/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/SO*(4)+/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/SO*(4)+/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/SO*(4)+/klli
st
block: blockwrite
File name for block output: SO4/SO(2,2)/SO*(4)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO4/SO(2,2)/SO*(4)+/mat.bin
File name for polynomial output: SO4/SO(2,2)/SO*(4)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/SO*(4)-/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/SO*(4)-/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/SO*(4)-/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/SO*(4)-/klli
st
block: blockwrite
File name for block output: SO4/SO(2,2)/SO*(4)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO4/SO(2,2)/SO*(4)-/mat.bin
File name for polynomial output: SO4/SO(2,2)/SO*(4)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/SO(2,2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/SO(2,2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/SO(2,2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO4/SO(2,2)/SO(2,2)/klli
st
block: blockwrite
File name for block output: SO4/SO(2,2)/SO(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO4/SO(2,2)/SO(2,2)/mat.bin
File name for polynomial output: SO4/SO(2,2)/SO(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO*(4)+
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): ss
main: realform
(weak) real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)+/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)+/KGB
real: kgborder
kgbsize: 3
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)+/kgborder
real: block
possible (weak) dual real forms are:
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)+/SO*(4)-/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)+/SO*(4)-/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)+/SO*(4)-/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)+/SO*(4)-/klli
st
block: blockwrite
File name for block output: SO4/SO*(4)+/SO*(4)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO4/SO*(4)+/SO*(4)-/mat.bin
File name for polynomial output: SO4/SO*(4)+/SO*(4)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)+/SO(2,2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)+/SO(2,2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)+/SO(2,2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)+/SO(2,2)/klli
st
block: blockwrite
File name for block output: SO4/SO*(4)+/SO(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO4/SO*(4)+/SO(2,2)/mat.bin
File name for polynomial output: SO4/SO*(4)+/SO(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO*(4)-
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): ss
main: realform
(weak) real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)-/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)-/KGB
real: kgborder
kgbsize: 3
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)-/kgborder
real: block
possible (weak) dual real forms are:
1: sl(2,R).su(2)
3: sl(2,R).sl(2,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)-/SO*(4)+/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)-/SO*(4)+/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)-/SO*(4)+/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)-/SO*(4)+/klli
st
block: blockwrite
File name for block output: SO4/SO*(4)-/SO*(4)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO4/SO*(4)-/SO*(4)+/mat.bin
File name for polynomial output: SO4/SO*(4)-/SO*(4)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: sl(2,R).su(2)
3: sl(2,R).sl(2,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)-/SO(2,2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)-/SO(2,2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)-/SO(2,2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO4/SO*(4)-/SO(2,2)/klli
st
block: blockwrite
File name for block output: SO4/SO*(4)-/SO(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO4/SO*(4)-/SO(2,2)/mat.bin
File name for polynomial output: SO4/SO*(4)-/SO(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(4,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1.A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2.Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2,0/2,0/2
0/2,0/2,1/2,1/2
enter inner class(es): CC
main: cartan
there is a unique real form: sl(2,C).sl(2,C)
Name an output file (return for stdout, ? to abandon): SO4/SO(4,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO4/SO(4,C)/KGB
real: kgborder
kgbsize: 4
Name an output file (return for stdout, ? to abandon): SO4/SO(4,C)/kgborder
real: block
there is a unique dual real form choice: sl(2,C).sl(2,C)
Name an output file (return for stdout, ? to abandon): SO4/SO(4,C)/SO(4,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO4/SO(4,C)/SO(4,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO4/SO(4,C)/SO(4,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO4/SO(4,C)/SO(4,C)/klli
st
block: blockwrite
File name for block output: SO4/SO(4,C)/SO(4,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO4/SO(4,C)/SO(4,C)/mat.bin
File name for polynomial output: SO4/SO(4,C)/SO(4,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B2
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(5)
1: so(4,1)
2: so(3,2)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO5/SO(5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO5/SO(5)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SO5/SO(5)/kgborder
real: block
there is a unique dual real form choice: sp(4,R)
Name an output file (return for stdout, ? to abandon): SO5/SO(5)/Sp(4,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SO5/SO(5)/Sp(4,R)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SO5/SO(5)/Sp(4,R)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SO5/SO(5)/Sp(4,R)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SO5/SO(5)/Sp(4,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO5/SO(5)/Sp(4,R)/mat.bin
File name for polynomial output: SO5/SO(5)/Sp(4,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(4,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B2
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(5)
1: so(4,1)
2: so(3,2)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO5/SO(4,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO5/SO(4,1)/KGB
real: kgborder
kgbsize: 3
Name an output file (return for stdout, ? to abandon): SO5/SO(4,1)/kgborder
real: block
there is a unique dual real form choice: sp(4,R)
Name an output file (return for stdout, ? to abandon): SO5/SO(4,1)/Sp(4,R)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO5/SO(4,1)/Sp(4,R)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO5/SO(4,1)/Sp(4,R)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO5/SO(4,1)/Sp(4,R)/klli
st
block: blockwrite
File name for block output: SO5/SO(4,1)/Sp(4,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO5/SO(4,1)/Sp(4,R)/mat.bin
File name for polynomial output: SO5/SO(4,1)/Sp(4,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(3,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B2
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(5)
1: so(4,1)
2: so(3,2)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO5/SO(3,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO5/SO(3,2)/KGB
real: kgborder
kgbsize: 7
Name an output file (return for stdout, ? to abandon): SO5/SO(3,2)/kgborder
real: block
possible (weak) dual real forms are:
0: sp(2)
1: sp(1,1)
2: sp(4,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO5/SO(3,2)/Sp(2)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SO5/SO(3,2)/Sp(2)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SO5/SO(3,2)/Sp(2)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SO5/SO(3,2)/Sp(2)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SO5/SO(3,2)/Sp(2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO5/SO(3,2)/Sp(2)/mat.bin
File name for polynomial output: SO5/SO(3,2)/Sp(2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(2)
1: sp(1,1)
2: sp(4,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO5/SO(3,2)/Sp(1,1)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO5/SO(3,2)/Sp(1,1)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO5/SO(3,2)/Sp(1,1)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO5/SO(3,2)/Sp(1,1)/klli
st
block: blockwrite
File name for block output: SO5/SO(3,2)/Sp(1,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO5/SO(3,2)/Sp(1,1)/mat.bin
File name for polynomial output: SO5/SO(3,2)/Sp(1,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(2)
1: sp(1,1)
2: sp(4,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO5/SO(3,2)/Sp(4,R)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO5/SO(3,2)/Sp(4,R)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO5/SO(3,2)/Sp(4,R)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO5/SO(3,2)/Sp(4,R)/klli
st
block: blockwrite
File name for block output: SO5/SO(3,2)/Sp(4,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO5/SO(3,2)/Sp(4,R)/mat.bin
File name for polynomial output: SO5/SO(3,2)/Sp(4,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(5,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B2.B2
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: so(5,C)
Name an output file (return for stdout, ? to abandon): SO5/SO(5,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO5/SO(5,C)/KGB
real: kgborder
kgbsize: 8
Name an output file (return for stdout, ? to abandon): SO5/SO(5,C)/kgborder
real: block
there is a unique dual real form choice: sp(4,C)
Name an output file (return for stdout, ? to abandon): SO5/SO(5,C)/Sp(5,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO5/SO(5,C)/Sp(5,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO5/SO(5,C)/Sp(5,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO5/SO(5,C)/Sp(5,C)/klli
st
block: blockwrite
File name for block output: SO5/SO(5,C)/Sp(5,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO5/SO(5,C)/Sp(5,C)/mat.bin
File name for polynomial output: SO5/SO(5,C)/Sp(5,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO6/SO(6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO6/SO(6)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SO6/SO(6)/kgborder
real: block
there is a unique dual real form choice: sl(4,R)
Name an output file (return for stdout, ? to abandon): SO6/SO(6)/SO(3,3)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SO6/SO(6)/SO(3,3)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SO6/SO(6)/SO(3,3)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SO6/SO(6)/SO(3,3)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SO6/SO(6)/SO(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO6/SO(6)/SO(3,3)/mat.bin
File name for polynomial output: SO6/SO(6)/SO(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(5,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO6/SO(5,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO6/SO(5,1)/KGB
real: kgborder
kgbsize: 3
Name an output file (return for stdout, ? to abandon): SO6/SO(5,1)/kgborder
real: block
there is a unique dual real form choice: su(2,2)
Name an output file (return for stdout, ? to abandon): SO6/SO(5,1)/SO(4,2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO6/SO(5,1)/SO(4,2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO6/SO(5,1)/SO(4,2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO6/SO(5,1)/SO(4,2)/klli
st
block: blockwrite
File name for block output: SO6/SO(5,1)/SO(4,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO6/SO(5,1)/SO(4,2)/mat.bin
File name for polynomial output: SO6/SO(5,1)/SO(4,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(4,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO6/SO(4,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO6/SO(4,2)/KGB
real: kgborder
kgbsize: 12
Name an output file (return for stdout, ? to abandon): SO6/SO(4,2)/kgborder
real: block
possible (weak) dual real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO6/SO(4,2)/SO(5,1)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO6/SO(4,2)/SO(5,1)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO6/SO(4,2)/SO(5,1)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO6/SO(4,2)/SO(5,1)/klli
st
block: blockwrite
File name for block output: SO6/SO(4,2)/SO(5,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO6/SO(4,2)/SO(5,1)/mat.bin
File name for polynomial output: SO6/SO(4,2)/SO(5,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO6/SO(4,2)/SO(3,3)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO6/SO(4,2)/SO(3,3)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO6/SO(4,2)/SO(3,3)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO6/SO(4,2)/SO(3,3)/klli
st
block: blockwrite
File name for block output: SO6/SO(4,2)/SO(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO6/SO(4,2)/SO(3,3)/mat.bin
File name for polynomial output: SO6/SO(4,2)/SO(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(3,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO6/SO(3,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO6/SO(3,3)/KGB
real: kgborder
kgbsize: 13
Name an output file (return for stdout, ? to abandon): SO6/SO(3,3)/kgborder
real: block
possible (weak) dual real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO6/SO(3,3)/SO(6)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SO6/SO(3,3)/SO(6)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SO6/SO(3,3)/SO(6)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SO6/SO(3,3)/SO(6)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SO6/SO(3,3)/SO(6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO6/SO(3,3)/SO(6)/mat.bin
File name for polynomial output: SO6/SO(3,3)/SO(6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO6/SO(3,3)/SO*(6)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): SO6/SO(3,3)/SO*(6)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): SO6/SO(3,3)/SO*(6)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): SO6/SO(3,3)/SO*(6)/kllis
t
block: blockwrite
File name for block output: SO6/SO(3,3)/SO*(6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO6/SO(3,3)/SO*(6)/mat.bin
File name for polynomial output: SO6/SO(3,3)/SO*(6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO6/SO(3,3)/SO(4,2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO6/SO(3,3)/SO(4,2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO6/SO(3,3)/SO(4,2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO6/SO(3,3)/SO(4,2)/klli
st
block: blockwrite
File name for block output: SO6/SO(3,3)/SO(4,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO6/SO(3,3)/SO(4,2)/mat.bin
File name for polynomial output: SO6/SO(3,3)/SO(4,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO*(6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO6/SO*(6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO6/SO*(6)/KGB
real: kgborder
kgbsize: 10
Name an output file (return for stdout, ? to abandon): SO6/SO*(6)/kgborder
real: block
there is a unique dual real form choice: sl(4,R)
Name an output file (return for stdout, ? to abandon): SO6/SO*(6)/SO(3,3)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): SO6/SO*(6)/SO(3,3)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): SO6/SO*(6)/SO(3,3)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): SO6/SO*(6)/SO(3,3)/kllis
t
block: blockwrite
File name for block output: SO6/SO*(6)/SO(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO6/SO*(6)/SO(3,3)/mat.bin
File name for polynomial output: SO6/SO*(6)/SO(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(6,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3.A3
elements of finite order in the center of the simply connected group:
Z/4.Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4,0/4
0/4,2/4
enter inner class(es): C
main: cartan
there is a unique real form: sl(4,C)
Name an output file (return for stdout, ? to abandon): SO6/SO(6,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO6/SO(6,C)/KGB
real: kgborder
kgbsize: 24
Name an output file (return for stdout, ? to abandon): SO6/SO(6,C)/kgborder
real: block
there is a unique dual real form choice: sl(4,C)
Name an output file (return for stdout, ? to abandon): SO6/SO(6,C)/SO(6,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO6/SO(6,C)/SO(6,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO6/SO(6,C)/SO(6,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO6/SO(6,C)/SO(6,C)/klli
st
block: blockwrite
File name for block output: SO6/SO(6,C)/SO(6,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO6/SO(6,C)/SO(6,C)/mat.bin
File name for polynomial output: SO6/SO(6,C)/SO(6,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(7)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B3
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(7)
1: so(6,1)
2: so(5,2)
3: so(4,3)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO7/SO(7)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO7/SO(7)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SO7/SO(7)/kgborder
real: block
there is a unique dual real form choice: sp(6,R)
Name an output file (return for stdout, ? to abandon): SO7/SO(7)/Sp(6,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SO7/SO(7)/Sp(6,R)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SO7/SO(7)/Sp(6,R)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SO7/SO(7)/Sp(6,R)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SO7/SO(7)/Sp(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO7/SO(7)/Sp(6,R)/mat.bin
File name for polynomial output: SO7/SO(7)/Sp(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(6,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B3
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(7)
1: so(6,1)
2: so(5,2)
3: so(4,3)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO7/SO(6,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO7/SO(6,1)/KGB
real: kgborder
kgbsize: 4
Name an output file (return for stdout, ? to abandon): SO7/SO(6,1)/kgborder
real: block
there is a unique dual real form choice: sp(6,R)
Name an output file (return for stdout, ? to abandon): SO7/SO(6,1)/Sp(6,R)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO7/SO(6,1)/Sp(6,R)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO7/SO(6,1)/Sp(6,R)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO7/SO(6,1)/Sp(6,R)/klli
st
block: blockwrite
File name for block output: SO7/SO(6,1)/Sp(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO7/SO(6,1)/Sp(6,R)/mat.bin
File name for polynomial output: SO7/SO(6,1)/Sp(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(5,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B3
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(7)
1: so(6,1)
2: so(5,2)
3: so(4,3)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO7/SO(5,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO7/SO(5,2)/KGB
real: kgborder
kgbsize: 15
Name an output file (return for stdout, ? to abandon): SO7/SO(5,2)/kgborder
real: block
there is a unique dual real form choice: sp(6,R)
Name an output file (return for stdout, ? to abandon): SO7/SO(5,2)/Sp(6,R)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO7/SO(5,2)/Sp(6,R)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO7/SO(5,2)/Sp(6,R)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO7/SO(5,2)/Sp(6,R)/klli
st
block: blockwrite
File name for block output: SO7/SO(5,2)/Sp(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO7/SO(5,2)/Sp(6,R)/mat.bin
File name for polynomial output: SO7/SO(5,2)/Sp(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(4,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B3
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(7)
1: so(6,1)
2: so(5,2)
3: so(4,3)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SO7/SO(4,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO7/SO(4,3)/KGB
real: kgborder
kgbsize: 25
Name an output file (return for stdout, ? to abandon): SO7/SO(4,3)/kgborder
real: block
possible (weak) dual real forms are:
0: sp(3)
1: sp(2,1)
2: sp(6,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO7/SO(4,3)/Sp(3)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SO7/SO(4,3)/Sp(3)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SO7/SO(4,3)/Sp(3)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SO7/SO(4,3)/Sp(3)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SO7/SO(4,3)/Sp(3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO7/SO(4,3)/Sp(3)/mat.bin
File name for polynomial output: SO7/SO(4,3)/Sp(3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(3)
1: sp(2,1)
2: sp(6,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO7/SO(4,3)/Sp(2,1)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO7/SO(4,3)/Sp(2,1)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO7/SO(4,3)/Sp(2,1)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO7/SO(4,3)/Sp(2,1)/klli
st
block: blockwrite
File name for block output: SO7/SO(4,3)/Sp(2,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO7/SO(4,3)/Sp(2,1)/mat.bin
File name for polynomial output: SO7/SO(4,3)/Sp(2,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(3)
1: sp(2,1)
2: sp(6,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO7/SO(4,3)/Sp(6,R)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO7/SO(4,3)/Sp(6,R)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO7/SO(4,3)/Sp(6,R)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO7/SO(4,3)/Sp(6,R)/klli
st
block: blockwrite
File name for block output: SO7/SO(4,3)/Sp(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO7/SO(4,3)/Sp(6,R)/mat.bin
File name for polynomial output: SO7/SO(4,3)/Sp(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(7,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B3.B3
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: so(7,C)
Name an output file (return for stdout, ? to abandon): SO7/SO(7,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO7/SO(7,C)/KGB
real: kgborder
kgbsize: 48
Name an output file (return for stdout, ? to abandon): SO7/SO(7,C)/kgborder
real: block
there is a unique dual real form choice: sp(6,C)
Name an output file (return for stdout, ? to abandon): SO7/SO(7,C)/Sp(6,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO7/SO(7,C)/Sp(6,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO7/SO(7,C)/Sp(6,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO7/SO(7,C)/Sp(6,C)/klli
st
block: blockwrite
File name for block output: SO7/SO(7,C)/Sp(6,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO7/SO(7,C)/Sp(6,C)/mat.bin
File name for polynomial output: SO7/SO(7,C)/Sp(6,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(8)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO8/SO(8)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO8/SO(8)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SO8/SO(8)/kgborder
real: block
there is a unique dual real form choice: so(4,4)
Name an output file (return for stdout, ? to abandon): SO8/SO(8)/SO(4,4)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SO8/SO(8)/SO(4,4)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SO8/SO(8)/SO(4,4)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SO8/SO(8)/SO(4,4)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SO8/SO(8)/SO(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO8/SO(8)/SO(4,4)/mat.bin
File name for polynomial output: SO8/SO(8)/SO(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(7,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(7,1)
1: so(5,3)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO8/SO(7,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO8/SO(7,1)/KGB
real: kgborder
kgbsize: 4
Name an output file (return for stdout, ? to abandon): SO8/SO(7,1)/kgborder
real: block
there is a unique dual real form choice: so(5,3)
Name an output file (return for stdout, ? to abandon): SO8/SO(7,1)/SO(5,3)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO8/SO(7,1)/SO(5,3)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO8/SO(7,1)/SO(5,3)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO8/SO(7,1)/SO(5,3)/klli
st
block: blockwrite
File name for block output: SO8/SO(7,1)/SO(5,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO8/SO(7,1)/SO(5,3)/mat.bin
File name for polynomial output: SO8/SO(7,1)/SO(5,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(6,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO8/SO(6,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO8/SO(6,2)/KGB
real: kgborder
kgbsize: 22
Name an output file (return for stdout, ? to abandon): SO8/SO(6,2)/kgborder
real: block
possible (weak) dual real forms are:
1: so(6,2)
4: so(4,4)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO8/SO(6,2)/SO(6,2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO8/SO(6,2)/SO(6,2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO8/SO(6,2)/SO(6,2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO8/SO(6,2)/SO(6,2)/klli
st
block: blockwrite
File name for block output: SO8/SO(6,2)/SO(6,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO8/SO(6,2)/SO(6,2)/mat.bin
File name for polynomial output: SO8/SO(6,2)/SO(6,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(6,2)
4: so(4,4)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SO8/SO(6,2)/SO(4,4)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO8/SO(6,2)/SO(4,4)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO8/SO(6,2)/SO(4,4)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO8/SO(6,2)/SO(4,4)/klli
st
block: blockwrite
File name for block output: SO8/SO(6,2)/SO(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO8/SO(6,2)/SO(4,4)/mat.bin
File name for polynomial output: SO8/SO(6,2)/SO(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(5,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(7,1)
1: so(5,3)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO8/SO(5,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO8/SO(5,3)/KGB
real: kgborder
kgbsize: 40
Name an output file (return for stdout, ? to abandon): SO8/SO(5,3)/kgborder
real: block
possible (weak) dual real forms are:
0: so(7,1)
1: so(5,3)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO8/SO(5,3)/SO(7,1)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO8/SO(5,3)/SO(7,1)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO8/SO(5,3)/SO(7,1)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO8/SO(5,3)/SO(7,1)/klli
st
block: blockwrite
File name for block output: SO8/SO(5,3)/SO(7,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO8/SO(5,3)/SO(7,1)/mat.bin
File name for polynomial output: SO8/SO(5,3)/SO(7,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(7,1)
1: so(5,3)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO8/SO(5,3)/SO(5,3)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO8/SO(5,3)/SO(5,3)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO8/SO(5,3)/SO(5,3)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO8/SO(5,3)/SO(5,3)/klli
st
block: blockwrite
File name for block output: SO8/SO(5,3)/SO(5,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO8/SO(5,3)/SO(5,3)/mat.bin
File name for polynomial output: SO8/SO(5,3)/SO(5,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(4,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/KGB
real: kgborder
kgbsize: 67
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/kgborder
real: block
possible (weak) dual real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO(8)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO(8)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO(8)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO(8)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SO8/SO(4,4)/SO(8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO8/SO(4,4)/SO(8)/mat.bin
File name for polynomial output: SO8/SO(4,4)/SO(8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO(6,2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO(6,2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO(6,2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO(6,2)/klli
st
block: blockwrite
File name for block output: SO8/SO(4,4)/SO(6,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO8/SO(4,4)/SO(6,2)/mat.bin
File name for polynomial output: SO8/SO(4,4)/SO(6,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO*(8)+/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO*(8)+/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO*(8)+/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO*(8)+/klli
st
block: blockwrite
File name for block output: SO8/SO(4,4)/SO*(8)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO8/SO(4,4)/SO*(8)+/mat.bin
File name for polynomial output: SO8/SO(4,4)/SO*(8)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO*(8)-/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO*(8)-/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO*(8)-/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO*(8)-/klli
st
block: blockwrite
File name for block output: SO8/SO(4,4)/SO*(8)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO8/SO(4,4)/SO*(8)-/mat.bin
File name for polynomial output: SO8/SO(4,4)/SO*(8)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO(4,4)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO(4,4)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO(4,4)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO8/SO(4,4)/SO(4,4)/klli
st
block: blockwrite
File name for block output: SO8/SO(4,4)/SO(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO8/SO(4,4)/SO(4,4)/mat.bin
File name for polynomial output: SO8/SO(4,4)/SO(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO*(8)+
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)+/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)+/KGB
real: kgborder
kgbsize: 38
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)+/kgborder
real: block
possible (weak) dual real forms are:
2: so*(8)[0,1]
4: so(4,4)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)+/SO*(8)+/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)+/SO*(8)+/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)+/SO*(8)+/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)+/SO*(8)+/klli
st
block: blockwrite
File name for block output: SO8/SO*(8)+/SO*(8)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO8/SO*(8)+/SO*(8)+/mat.bin
File name for polynomial output: SO8/SO*(8)+/SO*(8)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so*(8)[0,1]
4: so(4,4)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)+/SO(4,4)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)+/SO(4,4)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)+/SO(4,4)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)+/SO(4,4)/klli
st
block: blockwrite
File name for block output: SO8/SO*(8)+/SO(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO8/SO*(8)+/SO(4,4)/mat.bin
File name for polynomial output: SO8/SO*(8)+/SO(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO*(8)-
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)-/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)-/KGB
real: kgborder
kgbsize: 38
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)-/kgborder
real: block
possible (weak) dual real forms are:
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)-/SO*(8)-/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)-/SO*(8)-/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)-/SO*(8)-/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)-/SO*(8)-/klli
st
block: blockwrite
File name for block output: SO8/SO*(8)-/SO*(8)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO8/SO*(8)-/SO*(8)-/mat.bin
File name for polynomial output: SO8/SO*(8)-/SO*(8)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)-/SO(4,4)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)-/SO(4,4)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)-/SO(4,4)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO8/SO*(8)-/SO(4,4)/klli
st
block: blockwrite
File name for block output: SO8/SO*(8)-/SO(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO8/SO*(8)-/SO(4,4)/mat.bin
File name for polynomial output: SO8/SO*(8)-/SO(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(8,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4.D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2.Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2,0/2,0/2
0/2,0/2,1/2,1/2
enter inner class(es): C
main: cartan
there is a unique real form: so(8,C)
Name an output file (return for stdout, ? to abandon): SO8/SO(8,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO8/SO(8,C)/KGB
real: kgborder
kgbsize: 192
Name an output file (return for stdout, ? to abandon): SO8/SO(8,C)/kgborder
real: block
there is a unique dual real form choice: so(8,C)
Name an output file (return for stdout, ? to abandon): SO8/SO(8,C)/SO(8,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO8/SO(8,C)/SO(8,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO8/SO(8,C)/SO(8,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO8/SO(8,C)/SO(8,C)/klli
st
block: blockwrite
File name for block output: SO8/SO(8,C)/SO(8,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO8/SO(8,C)/SO(8,C)/mat.bin
File name for polynomial output: SO8/SO(8,C)/SO(8,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(9)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B4
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(9)
1: so(8,1)
2: so(7,2)
3: so(6,3)
4: so(5,4)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO9/SO(9)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO9/SO(9)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SO9/SO(9)/kgborder
real: block
there is a unique dual real form choice: sp(8,R)
Name an output file (return for stdout, ? to abandon): SO9/SO(9)/Sp(8,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SO9/SO(9)/Sp(8,R)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SO9/SO(9)/Sp(8,R)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SO9/SO(9)/Sp(8,R)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SO9/SO(9)/Sp(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO9/SO(9)/Sp(8,R)/mat.bin
File name for polynomial output: SO9/SO(9)/Sp(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(8,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B4
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(9)
1: so(8,1)
2: so(7,2)
3: so(6,3)
4: so(5,4)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO9/SO(8,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO9/SO(8,1)/KGB
real: kgborder
kgbsize: 5
Name an output file (return for stdout, ? to abandon): SO9/SO(8,1)/kgborder
real: block
there is a unique dual real form choice: sp(8,R)
Name an output file (return for stdout, ? to abandon): SO9/SO(8,1)/Sp(8,R)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO9/SO(8,1)/Sp(8,R)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO9/SO(8,1)/Sp(8,R)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO9/SO(8,1)/Sp(8,R)/klli
st
block: blockwrite
File name for block output: SO9/SO(8,1)/Sp(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO9/SO(8,1)/Sp(8,R)/mat.bin
File name for polynomial output: SO9/SO(8,1)/Sp(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(7,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B4
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(9)
1: so(8,1)
2: so(7,2)
3: so(6,3)
4: so(5,4)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO9/SO(7,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO9/SO(7,2)/KGB
real: kgborder
kgbsize: 26
Name an output file (return for stdout, ? to abandon): SO9/SO(7,2)/kgborder
real: block
there is a unique dual real form choice: sp(8,R)
Name an output file (return for stdout, ? to abandon): SO9/SO(7,2)/Sp(8,R)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO9/SO(7,2)/Sp(8,R)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO9/SO(7,2)/Sp(8,R)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO9/SO(7,2)/Sp(8,R)/klli
st
block: blockwrite
File name for block output: SO9/SO(7,2)/Sp(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO9/SO(7,2)/Sp(8,R)/mat.bin
File name for polynomial output: SO9/SO(7,2)/Sp(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(6,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B4
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(9)
1: so(8,1)
2: so(7,2)
3: so(6,3)
4: so(5,4)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SO9/SO(6,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO9/SO(6,3)/KGB
real: kgborder
kgbsize: 62
Name an output file (return for stdout, ? to abandon): SO9/SO(6,3)/kgborder
real: block
there is a unique dual real form choice: sp(8,R)
Name an output file (return for stdout, ? to abandon): SO9/SO(6,3)/Sp(8,R)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO9/SO(6,3)/Sp(8,R)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO9/SO(6,3)/Sp(8,R)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO9/SO(6,3)/Sp(8,R)/klli
st
block: blockwrite
File name for block output: SO9/SO(6,3)/Sp(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO9/SO(6,3)/Sp(8,R)/mat.bin
File name for polynomial output: SO9/SO(6,3)/Sp(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(5,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B4
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(9)
1: so(8,1)
2: so(7,2)
3: so(6,3)
4: so(5,4)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/KGB
real: kgborder
kgbsize: 107
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/kgborder
real: block
possible (weak) dual real forms are:
0: sp(4)
1: sp(3,1)
2: sp(2,2)
3: sp(8,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/Sp(4)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/Sp(4)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/Sp(4)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/Sp(4)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: SO9/SO(5,4)/Sp(4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO9/SO(5,4)/Sp(4)/mat.bin
File name for polynomial output: SO9/SO(5,4)/Sp(4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(4)
1: sp(3,1)
2: sp(2,2)
3: sp(8,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/Sp(3,1)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/Sp(3,1)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/Sp(3,1)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/Sp(3,1)/klli
st
block: blockwrite
File name for block output: SO9/SO(5,4)/Sp(3,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO9/SO(5,4)/Sp(3,1)/mat.bin
File name for polynomial output: SO9/SO(5,4)/Sp(3,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(4)
1: sp(3,1)
2: sp(2,2)
3: sp(8,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/Sp(2,2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/Sp(2,2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/Sp(2,2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/Sp(2,2)/klli
st
block: blockwrite
File name for block output: SO9/SO(5,4)/Sp(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO9/SO(5,4)/Sp(2,2)/mat.bin
File name for polynomial output: SO9/SO(5,4)/Sp(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(4)
1: sp(3,1)
2: sp(2,2)
3: sp(8,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/Sp(8,R)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/Sp(8,R)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/Sp(8,R)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO9/SO(5,4)/Sp(8,R)/klli
st
block: blockwrite
File name for block output: SO9/SO(5,4)/Sp(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO9/SO(5,4)/Sp(8,R)/mat.bin
File name for polynomial output: SO9/SO(5,4)/Sp(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(9,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B4.B4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: so(9,C)
Name an output file (return for stdout, ? to abandon): SO9/SO(9,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO9/SO(9,C)/KGB
real: kgborder
kgbsize: 384
Name an output file (return for stdout, ? to abandon): SO9/SO(9,C)/kgborder
real: block
there is a unique dual real form choice: sp(8,C)
Name an output file (return for stdout, ? to abandon): SO9/SO(9,C)/Sp(4,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO9/SO(9,C)/Sp(4,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO9/SO(9,C)/Sp(4,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO9/SO(9,C)/Sp(4,C)/klli
st
block: blockwrite
File name for block output: SO9/SO(9,C)/Sp(4,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO9/SO(9,C)/Sp(4,C)/mat.bin
File name for polynomial output: SO9/SO(9,C)/Sp(4,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(10)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO10/SO(10)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO10/SO(10)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SO10/SO(10)/kgborder
real: block
there is a unique dual real form choice: so(5,5)
Name an output file (return for stdout, ? to abandon): SO10/SO(10)/SO(5,5)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO10/SO(10)/SO(5,5)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO10/SO(10)/SO(5,5)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO10/SO(10)/SO(5,5)/klli
st
block: blockwrite
File name for block output: SO10/SO(10)/SO(5,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO10/SO(10)/SO(5,5)/mat.bin
File name for polynomial output: SO10/SO(10)/SO(5,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(9,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO10/SO(9,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO10/SO(9,1)/KGB
real: kgborder
kgbsize: 5
Name an output file (return for stdout, ? to abandon): SO10/SO(9,1)/kgborder
real: block
there is a unique dual real form choice: so(6,4)
Name an output file (return for stdout, ? to abandon): SO10/SO(9,1)/SO(6,4)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO10/SO(9,1)/SO(6,4)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO10/SO(9,1)/SO(6,4)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO10/SO(9,1)/SO(6,4)/kll
ist
block: blockwrite
File name for block output: SO10/SO(9,1)/SO(6,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO10/SO(9,1)/SO(6,4)/mat.bin
File name for polynomial output: SO10/SO(9,1)/SO(6,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(8,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO10/SO(8,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO10/SO(8,2)/KGB
real: kgborder
kgbsize: 35
Name an output file (return for stdout, ? to abandon): SO10/SO(8,2)/kgborder
real: block
possible (weak) dual real forms are:
1: so(7,3)
2: so(5,5)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO10/SO(8,2)/SO(7,3)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO10/SO(8,2)/SO(7,3)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO10/SO(8,2)/SO(7,3)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO10/SO(8,2)/SO(7,3)/kll
ist
block: blockwrite
File name for block output: SO10/SO(8,2)/SO(7,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO10/SO(8,2)/SO(7,3)/mat.bin
File name for polynomial output: SO10/SO(8,2)/SO(7,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(7,3)
2: so(5,5)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO10/SO(8,2)/SO(5,5)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO10/SO(8,2)/SO(5,5)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO10/SO(8,2)/SO(5,5)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO10/SO(8,2)/SO(5,5)/kll
ist
block: blockwrite
File name for block output: SO10/SO(8,2)/SO(5,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO10/SO(8,2)/SO(5,5)/mat.bin
File name for polynomial output: SO10/SO(8,2)/SO(5,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(7,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO10/SO(7,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO10/SO(7,3)/KGB
real: kgborder
kgbsize: 90
Name an output file (return for stdout, ? to abandon): SO10/SO(7,3)/kgborder
real: block
possible (weak) dual real forms are:
1: so(8,2)
3: so(6,4)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO10/SO(7,3)/SO(8,2)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO10/SO(7,3)/SO(8,2)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO10/SO(7,3)/SO(8,2)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO10/SO(7,3)/SO(8,2)/kll
ist
block: blockwrite
File name for block output: SO10/SO(7,3)/SO(8,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO10/SO(7,3)/SO(8,2)/mat.bin
File name for polynomial output: SO10/SO(7,3)/SO(8,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(8,2)
3: so(6,4)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO10/SO(7,3)/SO(6,4)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO10/SO(7,3)/SO(6,4)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO10/SO(7,3)/SO(6,4)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO10/SO(7,3)/SO(6,4)/kll
ist
block: blockwrite
File name for block output: SO10/SO(7,3)/SO(6,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO10/SO(7,3)/SO(6,4)/mat.bin
File name for polynomial output: SO10/SO(7,3)/SO(6,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(6,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SO10/SO(6,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO10/SO(6,4)/KGB
real: kgborder
kgbsize: 225
Name an output file (return for stdout, ? to abandon): SO10/SO(6,4)/kgborder
real: block
possible (weak) dual real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO10/SO(6,4)/SO(9,1)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO10/SO(6,4)/SO(9,1)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO10/SO(6,4)/SO(9,1)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO10/SO(6,4)/SO(9,1)/kll
ist
block: blockwrite
File name for block output: SO10/SO(6,4)/SO(9,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO10/SO(6,4)/SO(9,1)/mat.bin
File name for polynomial output: SO10/SO(6,4)/SO(9,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO10/SO(6,4)/SO(7,3)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO10/SO(6,4)/SO(7,3)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO10/SO(6,4)/SO(7,3)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO10/SO(6,4)/SO(7,3)/kll
ist
block: blockwrite
File name for block output: SO10/SO(6,4)/SO(7,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO10/SO(6,4)/SO(7,3)/mat.bin
File name for polynomial output: SO10/SO(6,4)/SO(7,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO10/SO(6,4)/SO(5,5)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO10/SO(6,4)/SO(5,5)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO10/SO(6,4)/SO(5,5)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO10/SO(6,4)/SO(5,5)/kll
ist
block: blockwrite
File name for block output: SO10/SO(6,4)/SO(5,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO10/SO(6,4)/SO(5,5)/mat.bin
File name for polynomial output: SO10/SO(6,4)/SO(5,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(5,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/KGB
real: kgborder
kgbsize: 251
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/kgborder
real: block
possible (weak) dual real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/SO(10)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/SO(10)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/SO(10)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/SO(10)/klli
st
block: blockwrite
File name for block output: SO10/SO(5,5)/SO(10)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO10/SO(5,5)/SO(10)/mat.bin
File name for polynomial output: SO10/SO(5,5)/SO(10)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/SO(8,2)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/SO(8,2)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/SO(8,2)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/SO(8,2)/kll
ist
block: blockwrite
File name for block output: SO10/SO(5,5)/SO(8,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO10/SO(5,5)/SO(8,2)/mat.bin
File name for polynomial output: SO10/SO(5,5)/SO(8,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/SO*(10)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/SO*(10)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/SO*(10)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/SO*(10)/kll
ist
block: blockwrite
File name for block output: SO10/SO(5,5)/SO*(10)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO10/SO(5,5)/SO*(10)/mat.bin
File name for polynomial output: SO10/SO(5,5)/SO*(10)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/SO(6,4)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/SO(6,4)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/SO(6,4)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO10/SO(5,5)/SO(6,4)/kll
ist
block: blockwrite
File name for block output: SO10/SO(5,5)/SO(6,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO10/SO(5,5)/SO(6,4)/mat.bin
File name for polynomial output: SO10/SO(5,5)/SO(6,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO*(10)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO10/SO*(10)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO10/SO*(10)/KGB
real: kgborder
kgbsize: 156
Name an output file (return for stdout, ? to abandon): SO10/SO*(10)/kgborder
real: block
there is a unique dual real form choice: so(5,5)
Name an output file (return for stdout, ? to abandon): SO10/SO*(10)/SO(5,5)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO10/SO*(10)/SO(5,5)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO10/SO*(10)/SO(5,5)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO10/SO*(10)/SO(5,5)/kll
ist
block: blockwrite
File name for block output: SO10/SO*(10)/SO(5,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO10/SO*(10)/SO(5,5)/mat.bin
File name for polynomial output: SO10/SO*(10)/SO(5,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(10,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5.D5
elements of finite order in the center of the simply connected group:
Z/4.Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4,0/4
0/4,2/4
enter inner class(es): C
main: cartan
there is a unique real form: so(10,C)
Name an output file (return for stdout, ? to abandon): SO10/SO(10,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO10/SO(10,C)/KGB
real: kgborder
kgbsize: 1920
Name an output file (return for stdout, ? to abandon): SO10/SO(10,C)/kgborder
real: block
there is a unique dual real form choice: so(10,C)
Name an output file (return for stdout, ? to abandon): SO10/SO(10,C)/SO(10,C)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO10/SO(10,C)/SO(10,C)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO10/SO(10,C)/SO(10,C)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO10/SO(10,C)/SO(10,C)/k
llist
block: blockwrite
File name for block output: SO10/SO(10,C)/SO(10,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO10/SO(10,C)/SO(10,C)/mat.bin
File name for polynomial output: SO10/SO(10,C)/SO(10,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(11)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B5
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(11)
1: so(10,1)
2: so(9,2)
3: so(8,3)
4: so(7,4)
5: so(6,5)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO11/SO(11)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO11/SO(11)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SO11/SO(11)/kgborder
real: block
there is a unique dual real form choice: sp(10,R)
Name an output file (return for stdout, ? to abandon): SO11/SO(11)/Sp(10,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO11/SO(11)/Sp(10,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO11/SO(11)/Sp(10,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO11/SO(11)/Sp(10,R)/kll
ist
block: blockwrite
File name for block output: SO11/SO(11)/Sp(10,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO11/SO(11)/Sp(10,R)/mat.bin
File name for polynomial output: SO11/SO(11)/Sp(10,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(10,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B5
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(11)
1: so(10,1)
2: so(9,2)
3: so(8,3)
4: so(7,4)
5: so(6,5)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO11/SO(10,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO11/SO(10,1)/KGB
real: kgborder
kgbsize: 6
Name an output file (return for stdout, ? to abandon): SO11/SO(10,1)/kgborder
real: block
there is a unique dual real form choice: sp(10,R)
Name an output file (return for stdout, ? to abandon): SO11/SO(10,1)/Sp(10,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO11/SO(10,1)/Sp(10,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO11/SO(10,1)/Sp(10,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO11/SO(10,1)/Sp(10,R)/k
llist
block: blockwrite
File name for block output: SO11/SO(10,1)/Sp(10,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO11/SO(10,1)/Sp(10,R)/mat.bin
File name for polynomial output: SO11/SO(10,1)/Sp(10,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(9,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B5
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(11)
1: so(10,1)
2: so(9,2)
3: so(8,3)
4: so(7,4)
5: so(6,5)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO11/SO(9,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO11/SO(9,2)/KGB
real: kgborder
kgbsize: 40
Name an output file (return for stdout, ? to abandon): SO11/SO(9,2)/kgborder
real: block
there is a unique dual real form choice: sp(10,R)
Name an output file (return for stdout, ? to abandon): SO11/SO(9,2)/Sp(10,R)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO11/SO(9,2)/Sp(10,R)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO11/SO(9,2)/Sp(10,R)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO11/SO(9,2)/Sp(10,R)/kl
list
block: blockwrite
File name for block output: SO11/SO(9,2)/Sp(10,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO11/SO(9,2)/Sp(10,R)/mat.bin
File name for polynomial output: SO11/SO(9,2)/Sp(10,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(8,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B5
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(11)
1: so(10,1)
2: so(9,2)
3: so(8,3)
4: so(7,4)
5: so(6,5)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SO11/SO(8,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO11/SO(8,3)/KGB
real: kgborder
kgbsize: 125
Name an output file (return for stdout, ? to abandon): SO11/SO(8,3)/kgborder
real: block
there is a unique dual real form choice: sp(10,R)
Name an output file (return for stdout, ? to abandon): SO11/SO(8,3)/Sp(10,R)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO11/SO(8,3)/Sp(10,R)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO11/SO(8,3)/Sp(10,R)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO11/SO(8,3)/Sp(10,R)/kl
list
block: blockwrite
File name for block output: SO11/SO(8,3)/Sp(10,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO11/SO(8,3)/Sp(10,R)/mat.bin
File name for polynomial output: SO11/SO(8,3)/Sp(10,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(7,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B5
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(11)
1: so(10,1)
2: so(9,2)
3: so(8,3)
4: so(7,4)
5: so(6,5)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): SO11/SO(7,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO11/SO(7,4)/KGB
real: kgborder
kgbsize: 315
Name an output file (return for stdout, ? to abandon): SO11/SO(7,4)/kgborder
real: block
there is a unique dual real form choice: sp(10,R)
Name an output file (return for stdout, ? to abandon): SO11/SO(7,4)/Sp(10,R)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO11/SO(7,4)/Sp(10,R)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO11/SO(7,4)/Sp(10,R)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO11/SO(7,4)/Sp(10,R)/kl
list
block: blockwrite
File name for block output: SO11/SO(7,4)/Sp(10,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO11/SO(7,4)/Sp(10,R)/mat.bin
File name for polynomial output: SO11/SO(7,4)/Sp(10,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(6,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B5
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(11)
1: so(10,1)
2: so(9,2)
3: so(8,3)
4: so(7,4)
5: so(6,5)
enter your choice: 5
real: cartan
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/KGB
real: kgborder
kgbsize: 476
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/kgborder
real: block
possible (weak) dual real forms are:
0: sp(5)
1: sp(4,1)
2: sp(3,2)
3: sp(10,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/Sp(5)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/Sp(5)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/Sp(5)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/Sp(5)/kllis
t
block: blockwrite
File name for block output: SO11/SO(6,5)/Sp(5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO11/SO(6,5)/Sp(5)/mat.bin
File name for polynomial output: SO11/SO(6,5)/Sp(5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(5)
1: sp(4,1)
2: sp(3,2)
3: sp(10,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/Sp(4,1)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/Sp(4,1)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/Sp(4,1)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/Sp(4,1)/kll
ist
block: blockwrite
File name for block output: SO11/SO(6,5)/Sp(4,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO11/SO(6,5)/Sp(4,1)/mat.bin
File name for polynomial output: SO11/SO(6,5)/Sp(4,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(5)
1: sp(4,1)
2: sp(3,2)
3: sp(10,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/Sp(3,2)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/Sp(3,2)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/Sp(3,2)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/Sp(3,2)/kll
ist
block: blockwrite
File name for block output: SO11/SO(6,5)/Sp(3,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO11/SO(6,5)/Sp(3,2)/mat.bin
File name for polynomial output: SO11/SO(6,5)/Sp(3,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(5)
1: sp(4,1)
2: sp(3,2)
3: sp(10,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/Sp(10,R)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/Sp(10,R)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/Sp(10,R)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO11/SO(6,5)/Sp(10,R)/kl
list
block: blockwrite
File name for block output: SO11/SO(6,5)/Sp(10,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO11/SO(6,5)/Sp(10,R)/mat.bin
File name for polynomial output: SO11/SO(6,5)/Sp(10,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(11,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B5.B5
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: so(11,C)
Name an output file (return for stdout, ? to abandon): SO11/SO(11,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO11/SO(11,C)/KGB
real: kgborder
kgbsize: 3840
Name an output file (return for stdout, ? to abandon): SO11/SO(11,C)/kgborder
real: block
there is a unique dual real form choice: sp(10,C)
Name an output file (return for stdout, ? to abandon): SO11/SO(11,C)/Sp(10,C)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO11/SO(11,C)/Sp(10,C)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO11/SO(11,C)/Sp(10,C)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO11/SO(11,C)/Sp(10,C)/k
llist
block: blockwrite
File name for block output: SO11/SO(11,C)/Sp(10,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO11/SO(11,C)/Sp(10,C)/mat.bin
File name for polynomial output: SO11/SO(11,C)/Sp(10,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(12)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO12/SO(12)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO12/SO(12)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SO12/SO(12)/kgborder
real: block
there is a unique dual real form choice: so(6,6)
Name an output file (return for stdout, ? to abandon): SO12/SO(12)/SO(6,6)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(12)/SO(6,6)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(12)/SO(6,6)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(12)/SO(6,6)/klli
st
block: blockwrite
File name for block output: SO12/SO(12)/SO(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(12)/SO(6,6)/mat.bin
File name for polynomial output: SO12/SO(12)/SO(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(11,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO12/SO(11,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO12/SO(11,1)/KGB
real: kgborder
kgbsize: 6
Name an output file (return for stdout, ? to abandon): SO12/SO(11,1)/kgborder
real: block
there is a unique dual real form choice: so(7,5)
Name an output file (return for stdout, ? to abandon): SO12/SO(11,1)/SO(7,5)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(11,1)/SO(7,5)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(11,1)/SO(7,5)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(11,1)/SO(7,5)/kl
list
block: blockwrite
File name for block output: SO12/SO(11,1)/SO(7,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(11,1)/SO(7,5)/mat.bin
File name for polynomial output: SO12/SO(11,1)/SO(7,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(10,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO12/SO(10,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO12/SO(10,2)/KGB
real: kgborder
kgbsize: 51
Name an output file (return for stdout, ? to abandon): SO12/SO(10,2)/kgborder
real: block
possible (weak) dual real forms are:
4: so(8,4)
5: so(6,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SO12/SO(10,2)/SO(8,4)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(10,2)/SO(8,4)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(10,2)/SO(8,4)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(10,2)/SO(8,4)/kl
list
block: blockwrite
File name for block output: SO12/SO(10,2)/SO(8,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(10,2)/SO(8,4)/mat.bin
File name for polynomial output: SO12/SO(10,2)/SO(8,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
4: so(8,4)
5: so(6,6)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): SO12/SO(10,2)/SO(6,6)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(10,2)/SO(6,6)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(10,2)/SO(6,6)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(10,2)/SO(6,6)/kl
list
block: blockwrite
File name for block output: SO12/SO(10,2)/SO(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(10,2)/SO(6,6)/mat.bin
File name for polynomial output: SO12/SO(10,2)/SO(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(9,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO12/SO(9,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO12/SO(9,3)/KGB
real: kgborder
kgbsize: 170
Name an output file (return for stdout, ? to abandon): SO12/SO(9,3)/kgborder
real: block
possible (weak) dual real forms are:
1: so(9,3)
2: so(7,5)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO12/SO(9,3)/SO(9,3)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(9,3)/SO(9,3)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(9,3)/SO(9,3)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(9,3)/SO(9,3)/kll
ist
block: blockwrite
File name for block output: SO12/SO(9,3)/SO(9,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(9,3)/SO(9,3)/mat.bin
File name for polynomial output: SO12/SO(9,3)/SO(9,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(9,3)
2: so(7,5)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO12/SO(9,3)/SO(7,5)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(9,3)/SO(7,5)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(9,3)/SO(7,5)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(9,3)/SO(7,5)/kll
ist
block: blockwrite
File name for block output: SO12/SO(9,3)/SO(7,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(9,3)/SO(7,5)/mat.bin
File name for polynomial output: SO12/SO(9,3)/SO(7,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(8,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): SO12/SO(8,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO12/SO(8,4)/KGB
real: kgborder
kgbsize: 570
Name an output file (return for stdout, ? to abandon): SO12/SO(8,4)/kgborder
real: block
possible (weak) dual real forms are:
1: so(10,2)
4: so(8,4)
5: so(6,6)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO12/SO(8,4)/SO(10,2)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(8,4)/SO(10,2)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(8,4)/SO(10,2)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(8,4)/SO(10,2)/kl
list
block: blockwrite
File name for block output: SO12/SO(8,4)/SO(10,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(8,4)/SO(10,2)/mat.bin
File name for polynomial output: SO12/SO(8,4)/SO(10,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(10,2)
4: so(8,4)
5: so(6,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SO12/SO(8,4)/SO(8,4)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(8,4)/SO(8,4)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(8,4)/SO(8,4)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(8,4)/SO(8,4)/kll
ist
block: blockwrite
File name for block output: SO12/SO(8,4)/SO(8,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(8,4)/SO(8,4)/mat.bin
File name for polynomial output: SO12/SO(8,4)/SO(8,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(10,2)
4: so(8,4)
5: so(6,6)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): SO12/SO(8,4)/SO(6,6)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(8,4)/SO(6,6)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(8,4)/SO(6,6)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(8,4)/SO(6,6)/kll
ist
block: blockwrite
File name for block output: SO12/SO(8,4)/SO(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(8,4)/SO(6,6)/mat.bin
File name for polynomial output: SO12/SO(8,4)/SO(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(7,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO12/SO(7,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO12/SO(7,5)/KGB
real: kgborder
kgbsize: 966
Name an output file (return for stdout, ? to abandon): SO12/SO(7,5)/kgborder
real: block
possible (weak) dual real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO12/SO(7,5)/SO(11,1)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(7,5)/SO(11,1)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(7,5)/SO(11,1)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(7,5)/SO(11,1)/kl
list
block: blockwrite
File name for block output: SO12/SO(7,5)/SO(11,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(7,5)/SO(11,1)/mat.bin
File name for polynomial output: SO12/SO(7,5)/SO(11,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO12/SO(7,5)/SO(9,3)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(7,5)/SO(9,3)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(7,5)/SO(9,3)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(7,5)/SO(9,3)/kll
ist
block: blockwrite
File name for block output: SO12/SO(7,5)/SO(9,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(7,5)/SO(9,3)/mat.bin
File name for polynomial output: SO12/SO(7,5)/SO(9,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO12/SO(7,5)/SO(7,5)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(7,5)/SO(7,5)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(7,5)/SO(7,5)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(7,5)/SO(7,5)/kll
ist
block: blockwrite
File name for block output: SO12/SO(7,5)/SO(7,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(7,5)/SO(7,5)/mat.bin
File name for polynomial output: SO12/SO(7,5)/SO(7,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(6,6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 5
real: cartan
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/KGB
real: kgborder
kgbsize: 1371
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/kgborder
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO(12)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO(12)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO(12)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO(12)/klli
st
block: blockwrite
File name for block output: SO12/SO(6,6)/SO(12)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(6,6)/SO(12)/mat.bin
File name for polynomial output: SO12/SO(6,6)/SO(12)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO(10,2)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO(10,2)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO(10,2)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO(10,2)/kl
list
block: blockwrite
File name for block output: SO12/SO(6,6)/SO(10,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(6,6)/SO(10,2)/mat.bin
File name for polynomial output: SO12/SO(6,6)/SO(10,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO*(12)+/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO*(12)+/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO*(12)+/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO*(12)+/kl
list
block: blockwrite
File name for block output: SO12/SO(6,6)/SO*(12)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(6,6)/SO*(12)+/mat.bin
File name for polynomial output: SO12/SO(6,6)/SO*(12)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO*(12)-/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO*(12)-/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO*(12)-/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO*(12)-/kl
list
block: blockwrite
File name for block output: SO12/SO(6,6)/SO*(12)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(6,6)/SO*(12)-/mat.bin
File name for polynomial output: SO12/SO(6,6)/SO*(12)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO(8,4)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO(8,4)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO(8,4)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO(8,4)/kll
ist
block: blockwrite
File name for block output: SO12/SO(6,6)/SO(8,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(6,6)/SO(8,4)/mat.bin
File name for polynomial output: SO12/SO(6,6)/SO(8,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO(6,6)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO(6,6)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO(6,6)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(6,6)/SO(6,6)/kll
ist
block: blockwrite
File name for block output: SO12/SO(6,6)/SO(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(6,6)/SO(6,6)/mat.bin
File name for polynomial output: SO12/SO(6,6)/SO(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO*(12)+
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)+/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)+/KGB
real: kgborder
kgbsize: 692
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)+/kgborder
real: block
possible (weak) dual real forms are:
3: so*(12)[0,1]
5: so(6,6)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)+/SO*(12)-/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)+/SO*(12)-/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)+/SO*(12)-/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)+/SO*(12)-/k
llist
block: blockwrite
File name for block output: SO12/SO*(12)+/SO*(12)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO*(12)+/SO*(12)-/mat.bin
File name for polynomial output: SO12/SO*(12)+/SO*(12)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
3: so*(12)[0,1]
5: so(6,6)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)+/SO(6,6)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)+/SO(6,6)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)+/SO(6,6)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)+/SO(6,6)/kl
list
block: blockwrite
File name for block output: SO12/SO*(12)+/SO(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO*(12)+/SO(6,6)/mat.bin
File name for polynomial output: SO12/SO*(12)+/SO(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO*(12)-
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)-/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)-/KGB
real: kgborder
kgbsize: 692
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)-/kgborder
real: block
possible (weak) dual real forms are:
2: so*(12)[1,0]
5: so(6,6)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)-/SO*(12)+/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)-/SO*(12)+/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)-/SO*(12)+/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)-/SO*(12)+/k
llist
block: blockwrite
File name for block output: SO12/SO*(12)-/SO*(12)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO*(12)-/SO*(12)+/mat.bin
File name for polynomial output: SO12/SO*(12)-/SO*(12)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so*(12)[1,0]
5: so(6,6)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)-/SO(6,6)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)-/SO(6,6)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)-/SO(6,6)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO*(12)-/SO(6,6)/kl
list
block: blockwrite
File name for block output: SO12/SO*(12)-/SO(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO*(12)-/SO(6,6)/mat.bin
File name for polynomial output: SO12/SO*(12)-/SO(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(12,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6.D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2.Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2,0/2,0/2
0/2,0/2,1/2,1/2
enter inner class(es): C
main: cartan
there is a unique real form: so(12,C)
Name an output file (return for stdout, ? to abandon): SO12/SO(12,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO12/SO(12,C)/KGB
real: kgborder
kgbsize: 23040
Name an output file (return for stdout, ? to abandon): SO12/SO(12,C)/kgborder
real: block
there is a unique dual real form choice: so(12,C)
Name an output file (return for stdout, ? to abandon): SO12/SO(12,C)/SO(12,C)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO12/SO(12,C)/SO(12,C)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO12/SO(12,C)/SO(12,C)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO12/SO(12,C)/SO(12,C)/k
llist
block: blockwrite
File name for block output: SO12/SO(12,C)/SO(12,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO12/SO(12,C)/SO(12,C)/mat.bin
File name for polynomial output: SO12/SO(12,C)/SO(12,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(13)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B6
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13)
1: so(12,1)
2: so(11,2)
3: so(10,3)
4: so(9,4)
5: so(8,5)
6: so(7,6)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO13/SO(13)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO13/SO(13)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SO13/SO(13)/kgborder
real: block
there is a unique dual real form choice: sp(12,R)
Name an output file (return for stdout, ? to abandon): SO13/SO(13)/Sp(12,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO13/SO(13)/Sp(12,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO13/SO(13)/Sp(12,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO13/SO(13)/Sp(12,R)/kll
ist
block: blockwrite
File name for block output: SO13/SO(13)/Sp(12,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO13/SO(13)/Sp(12,R)/mat.bin
File name for polynomial output: SO13/SO(13)/Sp(12,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(12,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B6
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13)
1: so(12,1)
2: so(11,2)
3: so(10,3)
4: so(9,4)
5: so(8,5)
6: so(7,6)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO13/SO(12,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO13/SO(12,1)/KGB
real: kgborder
kgbsize: 7
Name an output file (return for stdout, ? to abandon): SO13/SO(12,1)/kgborder
real: block
there is a unique dual real form choice: sp(12,R)
Name an output file (return for stdout, ? to abandon): SO13/SO(12,1)/Sp(12,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO13/SO(12,1)/Sp(12,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO13/SO(12,1)/Sp(12,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO13/SO(12,1)/Sp(12,R)/k
llist
block: blockwrite
File name for block output: SO13/SO(12,1)/Sp(12,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO13/SO(12,1)/Sp(12,R)/mat.bin
File name for polynomial output: SO13/SO(12,1)/Sp(12,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(11,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B6
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13)
1: so(12,1)
2: so(11,2)
3: so(10,3)
4: so(9,4)
5: so(8,5)
6: so(7,6)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO13/SO(11,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO13/SO(11,2)/KGB
real: kgborder
kgbsize: 57
Name an output file (return for stdout, ? to abandon): SO13/SO(11,2)/kgborder
real: block
there is a unique dual real form choice: sp(12,R)
Name an output file (return for stdout, ? to abandon): SO13/SO(11,2)/Sp(12,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO13/SO(11,2)/Sp(12,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO13/SO(11,2)/Sp(12,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO13/SO(11,2)/Sp(12,R)/k
llist
block: blockwrite
File name for block output: SO13/SO(11,2)/Sp(12,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO13/SO(11,2)/Sp(12,R)/mat.bin
File name for polynomial output: SO13/SO(11,2)/Sp(12,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(10,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B6
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13)
1: so(12,1)
2: so(11,2)
3: so(10,3)
4: so(9,4)
5: so(8,5)
6: so(7,6)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SO13/SO(10,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO13/SO(10,3)/KGB
real: kgborder
kgbsize: 221
Name an output file (return for stdout, ? to abandon): SO13/SO(10,3)/kgborder
real: block
there is a unique dual real form choice: sp(12,R)
Name an output file (return for stdout, ? to abandon): SO13/SO(10,3)/Sp(12,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO13/SO(10,3)/Sp(12,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO13/SO(10,3)/Sp(12,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO13/SO(10,3)/Sp(12,R)/k
llist
block: blockwrite
File name for block output: SO13/SO(10,3)/Sp(12,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO13/SO(10,3)/Sp(12,R)/mat.bin
File name for polynomial output: SO13/SO(10,3)/Sp(12,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(9,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B6
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13)
1: so(12,1)
2: so(11,2)
3: so(10,3)
4: so(9,4)
5: so(8,5)
6: so(7,6)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): SO13/SO(9,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO13/SO(9,4)/KGB
real: kgborder
kgbsize: 740
Name an output file (return for stdout, ? to abandon): SO13/SO(9,4)/kgborder
real: block
there is a unique dual real form choice: sp(12,R)
Name an output file (return for stdout, ? to abandon): SO13/SO(9,4)/Sp(12,R)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO13/SO(9,4)/Sp(12,R)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO13/SO(9,4)/Sp(12,R)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO13/SO(9,4)/Sp(12,R)/kl
list
block: blockwrite
File name for block output: SO13/SO(9,4)/Sp(12,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO13/SO(9,4)/Sp(12,R)/mat.bin
File name for polynomial output: SO13/SO(9,4)/Sp(12,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(8,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B6
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13)
1: so(12,1)
2: so(11,2)
3: so(10,3)
4: so(9,4)
5: so(8,5)
6: so(7,6)
enter your choice: 5
real: cartan
Name an output file (return for stdout, ? to abandon): SO13/SO(8,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO13/SO(8,5)/KGB
real: kgborder
kgbsize: 1536
Name an output file (return for stdout, ? to abandon): SO13/SO(8,5)/kgborder
real: block
there is a unique dual real form choice: sp(12,R)
Name an output file (return for stdout, ? to abandon): SO13/SO(8,5)/Sp(12,R)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO13/SO(8,5)/Sp(12,R)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO13/SO(8,5)/Sp(12,R)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO13/SO(8,5)/Sp(12,R)/kl
list
block: blockwrite
File name for block output: SO13/SO(8,5)/Sp(12,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO13/SO(8,5)/Sp(12,R)/mat.bin
File name for polynomial output: SO13/SO(8,5)/Sp(12,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(7,6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B6
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13)
1: so(12,1)
2: so(11,2)
3: so(10,3)
4: so(9,4)
5: so(8,5)
6: so(7,6)
enter your choice: 6
real: cartan
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/KGB
real: kgborder
kgbsize: 2337
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/kgborder
real: block
possible (weak) dual real forms are:
0: sp(6)
1: sp(5,1)
2: sp(4,2)
3: sp(3,3)
4: sp(12,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(6)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(6)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(6)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(6)/kllis
t
block: blockwrite
File name for block output: SO13/SO(7,6)/Sp(6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO13/SO(7,6)/Sp(6)/mat.bin
File name for polynomial output: SO13/SO(7,6)/Sp(6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(6)
1: sp(5,1)
2: sp(4,2)
3: sp(3,3)
4: sp(12,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(5,1)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(5,1)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(5,1)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(5,1)/kll
ist
block: blockwrite
File name for block output: SO13/SO(7,6)/Sp(5,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO13/SO(7,6)/Sp(5,1)/mat.bin
File name for polynomial output: SO13/SO(7,6)/Sp(5,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(6)
1: sp(5,1)
2: sp(4,2)
3: sp(3,3)
4: sp(12,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(4,2)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(4,2)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(4,2)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(4,2)/kll
ist
block: blockwrite
File name for block output: SO13/SO(7,6)/Sp(4,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO13/SO(7,6)/Sp(4,2)/mat.bin
File name for polynomial output: SO13/SO(7,6)/Sp(4,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(6)
1: sp(5,1)
2: sp(4,2)
3: sp(3,3)
4: sp(12,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(3,3)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(3,3)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(3,3)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(3,3)/kll
ist
block: blockwrite
File name for block output: SO13/SO(7,6)/Sp(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO13/SO(7,6)/Sp(3,3)/mat.bin
File name for polynomial output: SO13/SO(7,6)/Sp(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(6)
1: sp(5,1)
2: sp(4,2)
3: sp(3,3)
4: sp(12,R)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(12,R)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(12,R)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(12,R)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO13/SO(7,6)/Sp(12,R)/kl
list
block: blockwrite
File name for block output: SO13/SO(7,6)/Sp(12,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO13/SO(7,6)/Sp(12,R)/mat.bin
File name for polynomial output: SO13/SO(7,6)/Sp(12,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(13,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B6.B6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: so(13,C)
Name an output file (return for stdout, ? to abandon): SO13/SO(13,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO13/SO(13,C)/KGB
real: kgborder
kgbsize: 46080
Name an output file (return for stdout, ? to abandon): SO13/SO(13,C)/kgborder
real: block
there is a unique dual real form choice: sp(12,C)
Name an output file (return for stdout, ? to abandon): SO13/SO(13,C)/Sp(12,C)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO13/SO(13,C)/Sp(12,C)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO13/SO(13,C)/Sp(12,C)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO13/SO(13,C)/Sp(12,C)/k
llist
block: blockwrite
File name for block output: SO13/SO(13,C)/Sp(12,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO13/SO(13,C)/Sp(12,C)/mat.bin
File name for polynomial output: SO13/SO(13,C)/Sp(12,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(14)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO14/SO(14)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO14/SO(14)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SO14/SO(14)/kgborder
real: block
there is a unique dual real form choice: so(7,7)
Name an output file (return for stdout, ? to abandon): SO14/SO(14)/SO(7,7)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(14)/SO(7,7)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(14)/SO(7,7)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(14)/SO(7,7)/klli
st
block: blockwrite
File name for block output: SO14/SO(14)/SO(7,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(14)/SO(7,7)/mat.bin
File name for polynomial output: SO14/SO(14)/SO(7,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(13,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO14/SO(13,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO14/SO(13,1)/KGB
real: kgborder
kgbsize: 7
Name an output file (return for stdout, ? to abandon): SO14/SO(13,1)/kgborder
real: block
there is a unique dual real form choice: so(8,6)
Name an output file (return for stdout, ? to abandon): SO14/SO(13,1)/SO(8,6)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(13,1)/SO(8,6)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(13,1)/SO(8,6)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(13,1)/SO(8,6)/kl
list
block: blockwrite
File name for block output: SO14/SO(13,1)/SO(8,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(13,1)/SO(8,6)/mat.bin
File name for polynomial output: SO14/SO(13,1)/SO(8,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(12,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO14/SO(12,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO14/SO(12,2)/KGB
real: kgborder
kgbsize: 70
Name an output file (return for stdout, ? to abandon): SO14/SO(12,2)/kgborder
real: block
possible (weak) dual real forms are:
2: so(9,5)
3: so(7,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO14/SO(12,2)/SO(9,5)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(12,2)/SO(9,5)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(12,2)/SO(9,5)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(12,2)/SO(9,5)/kl
list
block: blockwrite
File name for block output: SO14/SO(12,2)/SO(9,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(12,2)/SO(9,5)/mat.bin
File name for polynomial output: SO14/SO(12,2)/SO(9,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so(9,5)
3: so(7,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO14/SO(12,2)/SO(7,7)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(12,2)/SO(7,7)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(12,2)/SO(7,7)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(12,2)/SO(7,7)/kl
list
block: blockwrite
File name for block output: SO14/SO(12,2)/SO(7,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(12,2)/SO(7,7)/mat.bin
File name for polynomial output: SO14/SO(12,2)/SO(7,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(11,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO14/SO(11,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO14/SO(11,3)/KGB
real: kgborder
kgbsize: 287
Name an output file (return for stdout, ? to abandon): SO14/SO(11,3)/kgborder
real: block
possible (weak) dual real forms are:
3: so(10,4)
4: so(8,6)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO14/SO(11,3)/SO(10,4)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(11,3)/SO(10,4)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(11,3)/SO(10,4)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(11,3)/SO(10,4)/k
llist
block: blockwrite
File name for block output: SO14/SO(11,3)/SO(10,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(11,3)/SO(10,4)/mat.bin
File name for polynomial output: SO14/SO(11,3)/SO(10,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
3: so(10,4)
4: so(8,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SO14/SO(11,3)/SO(8,6)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(11,3)/SO(8,6)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(11,3)/SO(8,6)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(11,3)/SO(8,6)/kl
list
block: blockwrite
File name for block output: SO14/SO(11,3)/SO(8,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(11,3)/SO(8,6)/mat.bin
File name for polynomial output: SO14/SO(11,3)/SO(8,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(10,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SO14/SO(10,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO14/SO(10,4)/KGB
real: kgborder
kgbsize: 1211
Name an output file (return for stdout, ? to abandon): SO14/SO(10,4)/kgborder
real: block
possible (weak) dual real forms are:
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO14/SO(10,4)/SO(11,3)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(10,4)/SO(11,3)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(10,4)/SO(11,3)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(10,4)/SO(11,3)/k
llist
block: blockwrite
File name for block output: SO14/SO(10,4)/SO(11,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(10,4)/SO(11,3)/mat.bin
File name for polynomial output: SO14/SO(10,4)/SO(11,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO14/SO(10,4)/SO(9,5)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(10,4)/SO(9,5)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(10,4)/SO(9,5)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(10,4)/SO(9,5)/kl
list
block: blockwrite
File name for block output: SO14/SO(10,4)/SO(9,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(10,4)/SO(9,5)/mat.bin
File name for polynomial output: SO14/SO(10,4)/SO(9,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO14/SO(10,4)/SO(7,7)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(10,4)/SO(7,7)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(10,4)/SO(7,7)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(10,4)/SO(7,7)/kl
list
block: blockwrite
File name for block output: SO14/SO(10,4)/SO(7,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(10,4)/SO(7,7)/mat.bin
File name for polynomial output: SO14/SO(10,4)/SO(7,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(9,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO14/SO(9,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO14/SO(9,5)/KGB
real: kgborder
kgbsize: 2786
Name an output file (return for stdout, ? to abandon): SO14/SO(9,5)/kgborder
real: block
possible (weak) dual real forms are:
1: so(12,2)
3: so(10,4)
4: so(8,6)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO14/SO(9,5)/SO(12,2)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(9,5)/SO(12,2)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(9,5)/SO(12,2)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(9,5)/SO(12,2)/kl
list
block: blockwrite
File name for block output: SO14/SO(9,5)/SO(12,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(9,5)/SO(12,2)/mat.bin
File name for polynomial output: SO14/SO(9,5)/SO(12,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(12,2)
3: so(10,4)
4: so(8,6)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO14/SO(9,5)/SO(10,4)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(9,5)/SO(10,4)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(9,5)/SO(10,4)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(9,5)/SO(10,4)/kl
list
block: blockwrite
File name for block output: SO14/SO(9,5)/SO(10,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(9,5)/SO(10,4)/mat.bin
File name for polynomial output: SO14/SO(9,5)/SO(10,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(12,2)
3: so(10,4)
4: so(8,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SO14/SO(9,5)/SO(8,6)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(9,5)/SO(8,6)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(9,5)/SO(8,6)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(9,5)/SO(8,6)/kll
ist
block: blockwrite
File name for block output: SO14/SO(9,5)/SO(8,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(9,5)/SO(8,6)/mat.bin
File name for polynomial output: SO14/SO(9,5)/SO(8,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(8,6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): c
main:
main: realform
(weak) real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/KGB
real: kgborder
kgbsize: 5607
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/kgborder
real: block
possible (weak) dual real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/SO(13,1)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/SO(13,1)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/SO(13,1)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/SO(13,1)/kl
list
block: blockwrite
File name for block output: SO14/SO(8,6)/SO(13,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(8,6)/SO(13,1)/mat.bin
File name for polynomial output: SO14/SO(8,6)/SO(13,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/SO(11,3)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/SO(11,3)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/SO(11,3)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/SO(11,3)/kl
list
block: blockwrite
File name for block output: SO14/SO(8,6)/SO(11,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(8,6)/SO(11,3)/mat.bin
File name for polynomial output: SO14/SO(8,6)/SO(11,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/SO(9,5)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/SO(9,5)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/SO(9,5)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/SO(9,5)/kll
ist
block: blockwrite
File name for block output: SO14/SO(8,6)/SO(9,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(8,6)/SO(9,5)/mat.bin
File name for polynomial output: SO14/SO(8,6)/SO(9,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/SO(7,7)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/SO(7,7)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/SO(7,7)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(8,6)/SO(7,7)/kll
ist
block: blockwrite
File name for block output: SO14/SO(8,6)/SO(7,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(8,6)/SO(7,7)/mat.bin
File name for polynomial output: SO14/SO(8,6)/SO(7,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(7,7)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/KGB
real: kgborder
kgbsize: 6315
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/kgborder
real: block
possible (weak) dual real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO(14)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO(14)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO(14)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO(14)/klli
st
block: blockwrite
File name for block output: SO14/SO(7,7)/SO(14)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(7,7)/SO(14)/mat.bin
File name for polynomial output: SO14/SO(7,7)/SO(14)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO(12,2)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO(12,2)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO(12,2)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO(12,2)/kl
list
block: blockwrite
File name for block output: SO14/SO(7,7)/SO(12,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(7,7)/SO(12,2)/mat.bin
File name for polynomial output: SO14/SO(7,7)/SO(12,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO*(14)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO*(14)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO*(14)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO*(14)/kll
ist
block: blockwrite
File name for block output: SO14/SO(7,7)/SO*(14)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(7,7)/SO*(14)/mat.bin
File name for polynomial output: SO14/SO(7,7)/SO*(14)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO(10,4)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO(10,4)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO(10,4)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO(10,4)/kl
list
block: blockwrite
File name for block output: SO14/SO(7,7)/SO(10,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(7,7)/SO(10,4)/mat.bin
File name for polynomial output: SO14/SO(7,7)/SO(10,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO(8,6)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO(8,6)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO(8,6)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO(7,7)/SO(8,6)/kll
ist
block: blockwrite
File name for block output: SO14/SO(7,7)/SO(8,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO(7,7)/SO(8,6)/mat.bin
File name for polynomial output: SO14/SO(7,7)/SO(8,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO*(14)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO14/SO*(14)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO14/SO*(14)/KGB
real: kgborder
kgbsize: 3256
Name an output file (return for stdout, ? to abandon): SO14/SO*(14)/kgborder
real: block
there is a unique dual real form choice: so(7,7)
Name an output file (return for stdout, ? to abandon): SO14/SO*(14)/SO(7,7)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO14/SO*(14)/SO(7,7)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO14/SO*(14)/SO(7,7)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO14/SO*(14)/SO(7,7)/kll
ist
block: blockwrite
File name for block output: SO14/SO*(14)/SO(7,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO14/SO*(14)/SO(7,7)/mat.bin
File name for polynomial output: SO14/SO*(14)/SO(7,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(14,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7.D7
elements of finite order in the center of the simply connected group:
Z/4.Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
2/4,0/4
0/4,2/4
enter inner class(es): C
main: cartan
there is a unique real form: so(14,C)
Name an output file (return for stdout, ? to abandon): SO14/SO(14,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO14/SO(14,C)/KGB
real: ?
?: not found
real: qq
SO(15)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(15)
1: so(14,1)
2: so(13,2)
3: so(12,3)
4: so(11,4)
5: so(10,5)
6: so(9,6)
7: so(8,7)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO15/SO(15)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO15/SO(15)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SO15/SO(15)/kgborder
real: block
there is a unique dual real form choice: sp(14,R)
Name an output file (return for stdout, ? to abandon): SO15/SO(15)/Sp(14,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO15/SO(15)/Sp(14,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO15/SO(15)/Sp(14,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO15/SO(15)/Sp(14,R)/kll
ist
block: blockwrite
File name for block output: SO15/SO(15)/Sp(14,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO15/SO(15)/Sp(14,R)/mat.bin
File name for polynomial output: SO15/SO(15)/Sp(14,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(14,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(15)
1: so(14,1)
2: so(13,2)
3: so(12,3)
4: so(11,4)
5: so(10,5)
6: so(9,6)
7: so(8,7)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO15/SO(14,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO15/SO(14,1)/KGB
real: kgborder
kgbsize: 8
Name an output file (return for stdout, ? to abandon): SO15/SO(14,1)/kgborder
real: block
there is a unique dual real form choice: sp(14,R)
Name an output file (return for stdout, ? to abandon): SO15/SO(14,1)/Sp(14,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO15/SO(14,1)/Sp(14,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO15/SO(14,1)/Sp(14,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO15/SO(14,1)/Sp(14,R)/k
llist
block: blockwrite
File name for block output: SO15/SO(14,1)/Sp(14,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO15/SO(14,1)/Sp(14,R)/mat.bin
File name for polynomial output: SO15/SO(14,1)/Sp(14,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(13,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(15)
1: so(14,1)
2: so(13,2)
3: so(12,3)
4: so(11,4)
5: so(10,5)
6: so(9,6)
7: so(8,7)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO15/SO(13,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO15/SO(13,2)/KGB
real: kgborder
kgbsize: 77
Name an output file (return for stdout, ? to abandon): SO15/SO(13,2)/kgborder
real: block
there is a unique dual real form choice: sp(14,R)
Name an output file (return for stdout, ? to abandon): SO15/SO(13,2)/Sp(14,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO15/SO(13,2)/Sp(14,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO15/SO(13,2)/Sp(14,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO15/SO(13,2)/Sp(14,R)/k
llist
block: blockwrite
File name for block output: SO15/SO(13,2)/Sp(14,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO15/SO(13,2)/Sp(14,R)/mat.bin
File name for polynomial output: SO15/SO(13,2)/Sp(14,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(12,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(15)
1: so(14,1)
2: so(13,2)
3: so(12,3)
4: so(11,4)
5: so(10,5)
6: so(9,6)
7: so(8,7)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SO15/SO(12,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO15/SO(12,3)/KGB
real: kgborder
kgbsize: 357
Name an output file (return for stdout, ? to abandon): SO15/SO(12,3)/kgborder
real: block
there is a unique dual real form choice: sp(14,R)
Name an output file (return for stdout, ? to abandon): SO15/SO(12,3)/Sp(14,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO15/SO(12,3)/Sp(14,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO15/SO(12,3)/Sp(14,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO15/SO(12,3)/Sp(14,R)/k
llist
block: blockwrite
File name for block output: SO15/SO(12,3)/Sp(14,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO15/SO(12,3)/Sp(14,R)/mat.bin
File name for polynomial output: SO15/SO(12,3)/Sp(14,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(11,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(15)
1: so(14,1)
2: so(13,2)
3: so(12,3)
4: so(11,4)
5: so(10,5)
6: so(9,6)
7: so(8,7)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): SO15/SO(11,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO15/SO(11,4)/KGB
real: kgborder
kgbsize: 1498
Name an output file (return for stdout, ? to abandon): SO15/SO(11,4)/kgborder
real: block
there is a unique dual real form choice: sp(14,R)
Name an output file (return for stdout, ? to abandon): SO15/SO(11,4)/Sp(14,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO15/SO(11,4)/Sp(14,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO15/SO(11,4)/Sp(14,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO15/SO(11,4)/Sp(14,R)/k
llist
block: blockwrite
File name for block output: SO15/SO(11,4)/Sp(14,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO15/SO(11,4)/Sp(14,R)/mat.bin
File name for polynomial output: SO15/SO(11,4)/Sp(14,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(10,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(15)
1: so(14,1)
2: so(13,2)
3: so(12,3)
4: so(11,4)
5: so(10,5)
6: so(9,6)
7: so(8,7)
enter your choice: 5
real: cartan
Name an output file (return for stdout, ? to abandon): SO15/SO(10,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO15/SO(10,5)/KGB
real: kgborder
kgbsize: 3997
Name an output file (return for stdout, ? to abandon): SO15/SO(10,5)/kgborder
real: block
there is a unique dual real form choice: sp(14,R)
Name an output file (return for stdout, ? to abandon): SO15/SO(10,5)/Sp(14,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO15/SO(10,5)/Sp(14,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO15/SO(10,5)/Sp(14,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO15/SO(10,5)/Sp(14,R)/k
llist
block: blockwrite
File name for block output: SO15/SO(10,5)/Sp(14,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO15/SO(10,5)/Sp(14,R)/mat.bin
File name for polynomial output: SO15/SO(10,5)/Sp(14,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(9,6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(15)
1: so(14,1)
2: so(13,2)
3: so(12,3)
4: so(11,4)
5: so(10,5)
6: so(9,6)
7: so(8,7)
enter your choice: 6
real: cartan
Name an output file (return for stdout, ? to abandon): SO15/SO(9,6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO15/SO(9,6)/KGB
real: kgborder
kgbsize: 8393
Name an output file (return for stdout, ? to abandon): SO15/SO(9,6)/kgborder
real: block
there is a unique dual real form choice: sp(14,R)
Name an output file (return for stdout, ? to abandon): SO15/SO(9,6)/Sp(14,R)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO15/SO(9,6)/Sp(14,R)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO15/SO(9,6)/Sp(14,R)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO15/SO(9,6)/Sp(14,R)/kl
list
block: blockwrite
File name for block output: SO15/SO(9,6)/Sp(14,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO15/SO(9,6)/Sp(14,R)/mat.bin
File name for polynomial output: SO15/SO(9,6)/Sp(14,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(8,7)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(15)
1: so(14,1)
2: so(13,2)
3: so(12,3)
4: so(11,4)
5: so(10,5)
6: so(9,6)
7: so(8,7)
enter your choice: 7
real: cartan
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/KGB
real: kgborder
kgbsize: 11922
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/kgborder
real: block
possible (weak) dual real forms are:
0: sp(7)
1: sp(6,1)
2: sp(5,2)
3: sp(4,3)
4: sp(14,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(7)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(7)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(7)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(7)/kllis
t
block: blockwrite
File name for block output: SO15/SO(8,7)/Sp(7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO15/SO(8,7)/Sp(7)/mat.bin
File name for polynomial output: SO15/SO(8,7)/Sp(7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(7)
1: sp(6,1)
2: sp(5,2)
3: sp(4,3)
4: sp(14,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(6,1)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(6,1)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(6,1)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(6,1)/kll
ist
block: blockwrite
File name for block output: SO15/SO(8,7)/Sp(6,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO15/SO(8,7)/Sp(6,1)/mat.bin
File name for polynomial output: SO15/SO(8,7)/Sp(6,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(7)
1: sp(6,1)
2: sp(5,2)
3: sp(4,3)
4: sp(14,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(5,2)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(5,2)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(5,2)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(5,2)/kll
ist
block: blockwrite
File name for block output: SO15/SO(8,7)/Sp(5,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO15/SO(8,7)/Sp(5,2)/mat.bin
File name for polynomial output: SO15/SO(8,7)/Sp(5,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(7)
1: sp(6,1)
2: sp(5,2)
3: sp(4,3)
4: sp(14,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(4,3)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(4,3)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(4,3)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(4,3)/kll
ist
block: blockwrite
File name for block output: SO15/SO(8,7)/Sp(4,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO15/SO(8,7)/Sp(4,3)/mat.bin
File name for polynomial output: SO15/SO(8,7)/Sp(4,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(7)
1: sp(6,1)
2: sp(5,2)
3: sp(4,3)
4: sp(14,R)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(14,R)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(14,R)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(14,R)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO15/SO(8,7)/Sp(14,R)/kl
list
block: blockwrite
File name for block output: SO15/SO(8,7)/Sp(14,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO15/SO(8,7)/Sp(14,R)/mat.bin
File name for polynomial output: SO15/SO(8,7)/Sp(14,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(15,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7.B7
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: so(15,C)
Name an output file (return for stdout, ? to abandon): SO15/SO(15,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO15/SO(15,C)/KGB
real: ?
?: not found
real: qq
SO(16)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO16/SO(16)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO16/SO(16)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SO16/SO(16)/kgborder
real: block
there is a unique dual real form choice: so(8,8)
Name an output file (return for stdout, ? to abandon): SO16/SO(16)/SO(8,8)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(16)/SO(8,8)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(16)/SO(8,8)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(16)/SO(8,8)/klli
st
block: blockwrite
File name for block output: SO16/SO(16)/SO(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(16)/SO(8,8)/mat.bin
File name for polynomial output: SO16/SO(16)/SO(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(15,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO16/SO(15,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO16/SO(15,1)/KGB
real: kgborder
kgbsize: 8
Name an output file (return for stdout, ? to abandon): SO16/SO(15,1)/kgborder
real: block
there is a unique dual real form choice: so(9,7)
Name an output file (return for stdout, ? to abandon): SO16/SO(15,1)/SO(9,7)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(15,1)/SO(9,7)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(15,1)/SO(9,7)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(15,1)/SO(9,7)/kl
list
block: blockwrite
File name for block output: SO16/SO(15,1)/SO(9,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(15,1)/SO(9,7)/mat.bin
File name for polynomial output: SO16/SO(15,1)/SO(9,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(14,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO16/SO(14,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO16/SO(14,2)/KGB
real: kgborder
kgbsize: 92
Name an output file (return for stdout, ? to abandon): SO16/SO(14,2)/kgborder
real: block
possible (weak) dual real forms are:
5: so(10,6)
6: so(8,8)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): SO16/SO(14,2)/SO(10,6)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(14,2)/SO(10,6)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(14,2)/SO(10,6)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(14,2)/SO(10,6)/k
llist
block: blockwrite
File name for block output: SO16/SO(14,2)/SO(10,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(14,2)/SO(10,6)/mat.bin
File name for polynomial output: SO16/SO(14,2)/SO(10,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
5: so(10,6)
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): SO16/SO(14,2)/SO(8,8)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(14,2)/SO(8,8)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(14,2)/SO(8,8)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(14,2)/SO(8,8)/kl
list
block: blockwrite
File name for block output: SO16/SO(14,2)/SO(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(14,2)/SO(8,8)/mat.bin
File name for polynomial output: SO16/SO(14,2)/SO(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(13,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO16/SO(13,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO16/SO(13,3)/KGB
real: kgborder
kgbsize: 448
Name an output file (return for stdout, ? to abandon): SO16/SO(13,3)/kgborder
real: block
possible (weak) dual real forms are:
2: so(11,5)
3: so(9,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO16/SO(13,3)/SO(11,5)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(13,3)/SO(11,5)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(13,3)/SO(11,5)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(13,3)/SO(11,5)/k
llist
block: blockwrite
File name for block output: SO16/SO(13,3)/SO(11,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(13,3)/SO(11,5)/mat.bin
File name for polynomial output: SO16/SO(13,3)/SO(11,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so(11,5)
3: so(9,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO16/SO(13,3)/SO(9,7)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(13,3)/SO(9,7)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(13,3)/SO(9,7)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(13,3)/SO(9,7)/kl
list
block: blockwrite
File name for block output: SO16/SO(13,3)/SO(9,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(13,3)/SO(9,7)/mat.bin
File name for polynomial output: SO16/SO(13,3)/SO(9,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(12,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO16/SO(12,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO16/SO(12,4)/KGB
real: kgborder
kgbsize: 2282
Name an output file (return for stdout, ? to abandon): SO16/SO(12,4)/kgborder
real: block
possible (weak) dual real forms are:
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO16/SO(12,4)/SO(12,4)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(12,4)/SO(12,4)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(12,4)/SO(12,4)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(12,4)/SO(12,4)/k
llist
block: blockwrite
File name for block output: SO16/SO(12,4)/SO(12,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(12,4)/SO(12,4)/mat.bin
File name for polynomial output: SO16/SO(12,4)/SO(12,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): SO16/SO(12,4)/SO(10,6)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(12,4)/SO(10,6)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(12,4)/SO(10,6)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(12,4)/SO(10,6)/k
llist
block: blockwrite
File name for block output: SO16/SO(12,4)/SO(10,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(12,4)/SO(10,6)/mat.bin
File name for polynomial output: SO16/SO(12,4)/SO(10,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): SO16/SO(12,4)/SO(8,8)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(12,4)/SO(8,8)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(12,4)/SO(8,8)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(12,4)/SO(8,8)/kl
list
block: blockwrite
File name for block output: SO16/SO(12,4)/SO(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(12,4)/SO(8,8)/mat.bin
File name for polynomial output: SO16/SO(12,4)/SO(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(11,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO16/SO(11,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO16/SO(11,5)/KGB
real: kgborder
kgbsize: 6664
Name an output file (return for stdout, ? to abandon): SO16/SO(11,5)/kgborder
real: block
possible (weak) dual real forms are:
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO16/SO(11,5)/SO(13,3)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(11,5)/SO(13,3)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(11,5)/SO(13,3)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(11,5)/SO(13,3)/k
llist
block: blockwrite
File name for block output: SO16/SO(11,5)/SO(13,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(11,5)/SO(13,3)/mat.bin
File name for polynomial output: SO16/SO(11,5)/SO(13,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO16/SO(11,5)/SO(11,5)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(11,5)/SO(11,5)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(11,5)/SO(11,5)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(11,5)/SO(11,5)/k
llist
block: blockwrite
File name for block output: SO16/SO(11,5)/SO(11,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(11,5)/SO(11,5)/mat.bin
File name for polynomial output: SO16/SO(11,5)/SO(11,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO16/SO(11,5)/SO(9,7)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(11,5)/SO(9,7)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(11,5)/SO(9,7)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(11,5)/SO(9,7)/kl
list
block: blockwrite
File name for block output: SO16/SO(11,5)/SO(9,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(11,5)/SO(9,7)/mat.bin
File name for polynomial output: SO16/SO(11,5)/SO(9,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(10,6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 5
real: cartan
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/KGB
real: kgborder
kgbsize: 17584
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/kgborder
real: block
possible (weak) dual real forms are:
1: so(14,2)
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/SO(14,2)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/SO(14,2)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/SO(14,2)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/SO(14,2)/k
llist
block: blockwrite
File name for block output: SO16/SO(10,6)/SO(14,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(10,6)/SO(14,2)/mat.bin
File name for polynomial output: SO16/SO(10,6)/SO(14,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(14,2)
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/SO(12,4)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/SO(12,4)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/SO(12,4)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/SO(12,4)/k
llist
block: blockwrite
File name for block output: SO16/SO(10,6)/SO(12,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(10,6)/SO(12,4)/mat.bin
File name for polynomial output: SO16/SO(10,6)/SO(12,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(14,2)
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/SO(10,6)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/SO(10,6)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/SO(10,6)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/SO(10,6)/k
llist
block: blockwrite
File name for block output: SO16/SO(10,6)/SO(10,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(10,6)/SO(10,6)/mat.bin
File name for polynomial output: SO16/SO(10,6)/SO(10,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(14,2)
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/SO(8,8)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/SO(8,8)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/SO(8,8)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(10,6)/SO(8,8)/kl
list
block: blockwrite
File name for block output: SO16/SO(10,6)/SO(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(10,6)/SO(8,8)/mat.bin
File name for polynomial output: SO16/SO(10,6)/SO(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(9,7)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/KGB
real: kgborder
kgbsize: 28232
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/kgborder
real: block
possible (weak) dual real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/SO(15,1)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/SO(15,1)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/SO(15,1)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/SO(15,1)/kl
list
block: blockwrite
File name for block output: SO16/SO(9,7)/SO(15,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(9,7)/SO(15,1)/mat.bin
File name for polynomial output: SO16/SO(9,7)/SO(15,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/SO(13,3)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/SO(13,3)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/SO(13,3)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/SO(13,3)/kl
list
block: blockwrite
File name for block output: SO16/SO(9,7)/SO(13,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(9,7)/SO(13,3)/mat.bin
File name for polynomial output: SO16/SO(9,7)/SO(13,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/SO(11,5)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/SO(11,5)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/SO(11,5)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/SO(11,5)/kl
list
block: blockwrite
File name for block output: SO16/SO(9,7)/SO(11,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(9,7)/SO(11,5)/mat.bin
File name for polynomial output: SO16/SO(9,7)/SO(11,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/SO(9,7)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/SO(9,7)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/SO(9,7)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(9,7)/SO(9,7)/kll
ist
block: blockwrite
File name for block output: SO16/SO(9,7)/SO(9,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(9,7)/SO(9,7)/mat.bin
File name for polynomial output: SO16/SO(9,7)/SO(9,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(8,8)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 6
real: cartan
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/KGB
real: kgborder
kgbsize: 36723
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/kgborder
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(16)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(16)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(16)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(16)/klli
st
block: blockwrite
File name for block output: SO16/SO(8,8)/SO(16)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(8,8)/SO(16)/mat.bin
File name for polynomial output: SO16/SO(8,8)/SO(16)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(14,2)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(14,2)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(14,2)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(14,2)/kl
list
block: blockwrite
File name for block output: SO16/SO(8,8)/SO(14,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(8,8)/SO(14,2)/mat.bin
File name for polynomial output: SO16/SO(8,8)/SO(14,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(12,4)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(12,4)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(12,4)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(12,4)/kl
list
block: blockwrite
File name for block output: SO16/SO(8,8)/SO(12,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(8,8)/SO(12,4)/mat.bin
File name for polynomial output: SO16/SO(8,8)/SO(12,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO*(16)+/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO*(16)+/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO*(16)+/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO*(16)+/kl
list
block: blockwrite
File name for block output: SO16/SO(8,8)/SO*(16)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(8,8)/SO*(16)+/mat.bin
File name for polynomial output: SO16/SO(8,8)/SO*(16)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO*(16)-/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO*(16)-/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO*(16)-/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO*(16)-/kl
list
block: blockwrite
File name for block output: SO16/SO(8,8)/SO*(16)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(8,8)/SO*(16)-/mat.bin
File name for polynomial output: SO16/SO(8,8)/SO*(16)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(10,6)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(10,6)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(10,6)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(10,6)/kl
list
block: blockwrite
File name for block output: SO16/SO(8,8)/SO(10,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(8,8)/SO(10,6)/mat.bin
File name for polynomial output: SO16/SO(8,8)/SO(10,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(8,8)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(8,8)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(8,8)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO(8,8)/SO(8,8)/kll
ist
block: blockwrite
File name for block output: SO16/SO(8,8)/SO(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO(8,8)/SO(8,8)/mat.bin
File name for polynomial output: SO16/SO(8,8)/SO(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO*(16)+
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)+/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)+/KGB
real: kgborder
kgbsize: 16200
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)+/kgborder
real: block
possible (weak) dual real forms are:
3: so*(16)[0,1]
6: so(8,8)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)+/SO*(16)+/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)+/SO*(16)+/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)+/SO*(16)+/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)+/SO*(16)+/k
llist
block: blockwrite
File name for block output: SO16/SO*(16)+/SO*(16)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO*(16)+/SO*(16)+/mat.bin
File name for polynomial output: SO16/SO*(16)+/SO*(16)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
3: so*(16)[0,1]
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)+/SO(8,8)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)+/SO(8,8)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)+/SO(8,8)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)+/SO(8,8)/kl
list
block: blockwrite
File name for block output: SO16/SO*(16)+/SO(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO*(16)+/SO(8,8)/mat.bin
File name for polynomial output: SO16/SO*(16)+/SO(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO*(16)-
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)-/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)-/KGB
real: kgborder
kgbsize: 16200
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)-/kgborder
real: block
possible (weak) dual real forms are:
4: so*(16)[1,0]
6: so(8,8)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)-/SO*(16)-/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)-/SO*(16)-/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)-/SO*(16)-/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)-/SO*(16)-/k
llist
block: blockwrite
File name for block output: SO16/SO*(16)-/SO*(16)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO*(16)-/SO*(16)-/mat.bin
File name for polynomial output: SO16/SO*(16)-/SO*(16)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
4: so*(16)[1,0]
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)-/SO(8,8)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)-/SO(8,8)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)-/SO(8,8)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO16/SO*(16)-/SO(8,8)/kl
list
block: blockwrite
File name for block output: SO16/SO*(16)-/SO(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO16/SO*(16)-/SO(8,8)/mat.bin
File name for polynomial output: SO16/SO*(16)-/SO(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(16,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8.D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2.Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
1/2,1/2,0/2,0/2
0/2,0/2,1/2,1/2
enter inner class(es): C
main: cartan
there is a unique real form: so(16,C)
Name an output file (return for stdout, ? to abandon): SO16/SO(16,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO16/SO(16,C)/KGB
real: ?
?: not found
real: qq
SO(17)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): SO17/SO(17)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO17/SO(17)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): SO17/SO(17)/kgborder
real: block
there is a unique dual real form choice: sp(16,R)
Name an output file (return for stdout, ? to abandon): SO17/SO(17)/Sp(16,R)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO17/SO(17)/Sp(16,R)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO17/SO(17)/Sp(16,R)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO17/SO(17)/Sp(16,R)/kll
ist
block: blockwrite
File name for block output: SO17/SO(17)/Sp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO17/SO(17)/Sp(16,R)/mat.bin
File name for polynomial output: SO17/SO(17)/Sp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(16,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): SO17/SO(16,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO17/SO(16,1)/KGB
real: kgborder
kgbsize: 9
Name an output file (return for stdout, ? to abandon): SO17/SO(16,1)/kgborder
real: block
there is a unique dual real form choice: sp(16,R)
Name an output file (return for stdout, ? to abandon): SO17/SO(16,1)/Sp(16,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO17/SO(16,1)/Sp(16,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO17/SO(16,1)/Sp(16,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO17/SO(16,1)/Sp(16,R)/k
llist
block: blockwrite
File name for block output: SO17/SO(16,1)/Sp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO17/SO(16,1)/Sp(16,R)/mat.bin
File name for polynomial output: SO17/SO(16,1)/Sp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(15,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): SO17/SO(15,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO17/SO(15,2)/KGB
real: kgborder
kgbsize: 100
Name an output file (return for stdout, ? to abandon): SO17/SO(15,2)/kgborder
real: block
there is a unique dual real form choice: sp(16,R)
Name an output file (return for stdout, ? to abandon): SO17/SO(15,2)/Sp(16,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO17/SO(15,2)/Sp(16,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO17/SO(15,2)/Sp(16,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO17/SO(15,2)/Sp(16,R)/k
llist
block: blockwrite
File name for block output: SO17/SO(15,2)/Sp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO17/SO(15,2)/Sp(16,R)/mat.bin
File name for polynomial output: SO17/SO(15,2)/Sp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(14,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): SO17/SO(14,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO17/SO(14,3)/KGB
real: kgborder
kgbsize: 540
Name an output file (return for stdout, ? to abandon): SO17/SO(14,3)/kgborder
real: block
there is a unique dual real form choice: sp(16,R)
Name an output file (return for stdout, ? to abandon): SO17/SO(14,3)/Sp(16,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO17/SO(14,3)/Sp(16,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO17/SO(14,3)/Sp(16,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO17/SO(14,3)/Sp(16,R)/k
llist
block: blockwrite
File name for block output: SO17/SO(14,3)/Sp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO17/SO(14,3)/Sp(16,R)/mat.bin
File name for polynomial output: SO17/SO(14,3)/Sp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(13,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): SO17/SO(13,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO17/SO(13,4)/KGB
real: kgborder
kgbsize: 2730
Name an output file (return for stdout, ? to abandon): SO17/SO(13,4)/kgborder
real: block
there is a unique dual real form choice: sp(16,R)
Name an output file (return for stdout, ? to abandon): SO17/SO(13,4)/Sp(16,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO17/SO(13,4)/Sp(16,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO17/SO(13,4)/Sp(16,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO17/SO(13,4)/Sp(16,R)/k
llist
block: blockwrite
File name for block output: SO17/SO(13,4)/Sp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO17/SO(13,4)/Sp(16,R)/mat.bin
File name for polynomial output: SO17/SO(13,4)/Sp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(12,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 5
real: cartan
Name an output file (return for stdout, ? to abandon): SO17/SO(12,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO17/SO(12,5)/KGB
real: kgborder
kgbsize: 8946
Name an output file (return for stdout, ? to abandon): SO17/SO(12,5)/kgborder
real: block
there is a unique dual real form choice: sp(16,R)
Name an output file (return for stdout, ? to abandon): SO17/SO(12,5)/Sp(16,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO17/SO(12,5)/Sp(16,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO17/SO(12,5)/Sp(16,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO17/SO(12,5)/Sp(16,R)/k
llist
block: blockwrite
File name for block output: SO17/SO(12,5)/Sp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO17/SO(12,5)/Sp(16,R)/mat.bin
File name for polynomial output: SO17/SO(12,5)/Sp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(11,6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 6
real: cartan
Name an output file (return for stdout, ? to abandon): SO17/SO(11,6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO17/SO(11,6)/KGB
real: kgborder
kgbsize: 24248
Name an output file (return for stdout, ? to abandon): SO17/SO(11,6)/kgborder
real: block
there is a unique dual real form choice: sp(16,R)
Name an output file (return for stdout, ? to abandon): SO17/SO(11,6)/Sp(16,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO17/SO(11,6)/Sp(16,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO17/SO(11,6)/Sp(16,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO17/SO(11,6)/Sp(16,R)/k
llist
block: blockwrite
File name for block output: SO17/SO(11,6)/Sp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO17/SO(11,6)/Sp(16,R)/mat.bin
File name for polynomial output: SO17/SO(11,6)/Sp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(10,7)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 7
real: cartan
Name an output file (return for stdout, ? to abandon): SO17/SO(10,7)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO17/SO(10,7)/KGB
real: kgborder
kgbsize: 45816
Name an output file (return for stdout, ? to abandon): SO17/SO(10,7)/kgborder
real: block
there is a unique dual real form choice: sp(16,R)
Name an output file (return for stdout, ? to abandon): SO17/SO(10,7)/Sp(16,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO17/SO(10,7)/Sp(16,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): SO17/SO(10,7)/Sp(16,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): SO17/SO(10,7)/Sp(16,R)/k
llist
block: blockwrite
File name for block output: SO17/SO(10,7)/Sp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO17/SO(10,7)/Sp(16,R)/mat.bin
File name for polynomial output: SO17/SO(10,7)/Sp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(9,8)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 8
real: cartan
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/KGB
real: kgborder
kgbsize: 64955
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/kgborder
real: block
possible (weak) dual real forms are:
0: sp(8)
1: sp(7,1)
2: sp(6,2)
3: sp(5,3)
4: sp(4,4)
5: sp(16,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(8)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(8)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(8)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(8)/kllis
t
block: blockwrite
File name for block output: SO17/SO(9,8)/Sp(8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO17/SO(9,8)/Sp(8)/mat.bin
File name for polynomial output: SO17/SO(9,8)/Sp(8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(8)
1: sp(7,1)
2: sp(6,2)
3: sp(5,3)
4: sp(4,4)
5: sp(16,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(7,1)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(7,1)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(7,1)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(7,1)/kll
ist
block: blockwrite
File name for block output: SO17/SO(9,8)/Sp(7,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO17/SO(9,8)/Sp(7,1)/mat.bin
File name for polynomial output: SO17/SO(9,8)/Sp(7,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(8)
1: sp(7,1)
2: sp(6,2)
3: sp(5,3)
4: sp(4,4)
5: sp(16,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(6,2)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(6,2)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(6,2)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(6,2)/kll
ist
block: blockwrite
File name for block output: SO17/SO(9,8)/Sp(6,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO17/SO(9,8)/Sp(6,2)/mat.bin
File name for polynomial output: SO17/SO(9,8)/Sp(6,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(8)
1: sp(7,1)
2: sp(6,2)
3: sp(5,3)
4: sp(4,4)
5: sp(16,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(5,3)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(5,3)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(5,3)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(5,3)/kll
ist
block: blockwrite
File name for block output: SO17/SO(9,8)/Sp(5,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO17/SO(9,8)/Sp(5,3)/mat.bin
File name for polynomial output: SO17/SO(9,8)/Sp(5,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(8)
1: sp(7,1)
2: sp(6,2)
3: sp(5,3)
4: sp(4,4)
5: sp(16,R)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(4,4)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(4,4)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(4,4)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(4,4)/kll
ist
block: blockwrite
File name for block output: SO17/SO(9,8)/Sp(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO17/SO(9,8)/Sp(4,4)/mat.bin
File name for polynomial output: SO17/SO(9,8)/Sp(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(8)
1: sp(7,1)
2: sp(6,2)
3: sp(5,3)
4: sp(4,4)
5: sp(16,R)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(16,R)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(16,R)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(16,R)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): SO17/SO(9,8)/Sp(16,R)/kl
list
block: blockwrite
File name for block output: SO17/SO(9,8)/Sp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: SO17/SO(9,8)/Sp(16,R)/mat.bin
File name for polynomial output: SO17/SO(9,8)/Sp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
SO(17,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8.B8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: so(17,C)
Name an output file (return for stdout, ? to abandon): SO17/SO(17,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): SO17/SO(17,C)/KGB
real: ?
?: not found
real: qq
Spin(3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: su(2)
1: sl(2,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin3/Spin(3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin3/Spin(3)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Spin3/Spin(3)/kgborder
real: block
there is a unique dual real form choice: sl(2,R)
Name an output file (return for stdout, ? to abandon): Spin3/Spin(3)/PGL(2,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin3/Spin(3)/PGL(2,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin3/Spin(3)/PGL(2,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin3/Spin(3)/PGL(2,R)/k
llist
block: blockwrite
File name for block output: Spin3/Spin(3)/PGL(2,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin3/Spin(3)/PGL(2,R)/mat.bin
File name for polynomial output: Spin3/Spin(3)/PGL(2,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(2,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: su(2)
1: sl(2,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin3/Spin(2,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin3/Spin(2,1)/KGB
real: kgborder
kgbsize: 3
Name an output file (return for stdout, ? to abandon): Spin3/Spin(2,1)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
0: su(2)
1: sl(2,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin3/Spin(2,1)/PU(2)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin3/Spin(2,1)/PU(2)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin3/Spin(2,1)/PU(2)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin3/Spin(2,1)/PU(2)/kl
list
block: blockwrite
File name for block output: Spin3/Spin(2,1)/PU(2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin3/Spin(2,1)/PU(2)/mat.bin
File name for polynomial output: Spin3/Spin(2,1)/PU(2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(2)
1: sl(2,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin3/Spin(2,1)/PGL(2,R)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin3/Spin(2,1)/PGL(2,R)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin3/Spin(2,1)/PGL(2,R)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin3/Spin(2,1)/PGL(2,R)
/kllist
block: blockwrite
File name for block output: Spin3/Spin(2,1)/PGL(2,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin3/Spin(2,1)/PGL(2,R)/mat.bin
File name for polynomial output: Spin3/Spin(2,1)/PGL(2,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(3,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: sl(2,C)
Name an output file (return for stdout, ? to abandon): Spin3/Spin(3,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin3/Spin(3,C)/KGB
real: kgborder
kgbsize: 2
Name an output file (return for stdout, ? to abandon): Spin3/Spin(3,C)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sl(2,C)
Name an output file (return for stdout, ? to abandon): Spin3/Spin(3,C)/PGL(2,C)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin3/Spin(3,C)/PGL(2,C)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin3/Spin(3,C)/PGL(2,C)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin3/Spin(3,C)/PGL(2,C)
/kllist
block: blockwrite
File name for block output: Spin3/Spin(3,C)/PGL(2,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin3/Spin(3,C)/PGL(2,C)/mat.bin
File name for polynomial output: Spin3/Spin(3,C)/PGL(2,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): ss
main: realform
(weak) real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin4/Spin(4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin4/Spin(4)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Spin4/Spin(4)/kgborder
real: block
there is a unique dual real form choice: sl(2,R).sl(2,R)
Name an output file (return for stdout, ? to abandon): Spin4/Spin(4)/PSO(2,2)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin4/Spin(4)/PSO(2,2)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin4/Spin(4)/PSO(2,2)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin4/Spin(4)/PSO(2,2)/k
llist
block: blockwrite
File name for block output: Spin4/Spin(4)/PSO(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin4/Spin(4)/PSO(2,2)/mat.bin
File name for polynomial output: Spin4/Spin(4)/PSO(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(3,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: sl(2,C)
Name an output file (return for stdout, ? to abandon): Spin4/Spin(3,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin4/Spin(3,1)/KGB
real: kgborder
kgbsize: 2
Name an output file (return for stdout, ? to abandon): Spin4/Spin(3,1)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sl(2,C)
Name an output file (return for stdout, ? to abandon): Spin4/Spin(3,1)/PSO(3,1)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin4/Spin(3,1)/PSO(3,1)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin4/Spin(3,1)/PSO(3,1)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin4/Spin(3,1)/PSO(3,1)
/kllist
block: blockwrite
File name for block output: Spin4/Spin(3,1)/PSO(3,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin4/Spin(3,1)/PSO(3,1)/mat.bin
File name for polynomial output: Spin4/Spin(3,1)/PSO(3,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(2,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): ss
main: realform
(weak) real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/KGB
real: kgborder
kgbsize: 9
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/PSO(4)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/PSO(4)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/PSO(4)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/PSO(4)/k
llist
block: blockwrite
File name for block output: Spin4/Spin(2,2)/PSO(4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin4/Spin(2,2)/PSO(4)/mat.bin
File name for polynomial output: Spin4/Spin(2,2)/PSO(4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/PSO*(4)+
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/PSO*(4)+
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/PSO*(4)+
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/PSO*(4)+
/kllist
block: blockwrite
File name for block output: Spin4/Spin(2,2)/PSO*(4)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin4/Spin(2,2)/PSO*(4)+/mat.bin
File name for polynomial output: Spin4/Spin(2,2)/PSO*(4)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/PSO*(4)-
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/PSO*(4)-
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/PSO*(4)-
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/PSO*(4)-
/kllist
block: blockwrite
File name for block output: Spin4/Spin(2,2)/PSO*(4)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin4/Spin(2,2)/PSO*(4)-/mat.bin
File name for polynomial output: Spin4/Spin(2,2)/PSO*(4)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/PSO(2,2)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/PSO(2,2)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/PSO(2,2)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin4/Spin(2,2)/PSO(2,2)
/kllist
block: blockwrite
File name for block output: Spin4/Spin(2,2)/PSO(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin4/Spin(2,2)/PSO(2,2)/mat.bin
File name for polynomial output: Spin4/Spin(2,2)/PSO(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin*(4)+
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): ss
main: realform
(weak) real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)+/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)+/KGB
real: kgborder
kgbsize: 3
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)+/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)+/PSO*(4)-
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)+/PSO*(4)-
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)+/PSO*(4)-
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)+/PSO*(4)-
/kllist
block: blockwrite
File name for block output: Spin4/Spin*(4)+/PSO*(4)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin4/Spin*(4)+/PSO*(4)-/mat.bin
File name for polynomial output: Spin4/Spin*(4)+/PSO*(4)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)+/PSO(2,2)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)+/PSO(2,2)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)+/PSO(2,2)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)+/PSO(2,2)
/kllist
block: blockwrite
File name for block output: Spin4/Spin*(4)+/PSO(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin4/Spin*(4)+/PSO(2,2)/mat.bin
File name for polynomial output: Spin4/Spin*(4)+/PSO(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin*(4)-
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): ss
main: realform
(weak) real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)-/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)-/KGB
real: kgborder
kgbsize: 3
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)-/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
1: sl(2,R).su(2)
3: sl(2,R).sl(2,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)-/PSO*(4)+
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)-/PSO*(4)+
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)-/PSO*(4)+
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)-/PSO*(4)+
/kllist
block: blockwrite
File name for block output: Spin4/Spin*(4)-/PSO*(4)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin4/Spin*(4)-/PSO*(4)+/mat.bin
File name for polynomial output: Spin4/Spin*(4)-/PSO*(4)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: sl(2,R).su(2)
3: sl(2,R).sl(2,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)-/PSO(2,2)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)-/PSO(2,2)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)-/PSO(2,2)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin4/Spin*(4)-/PSO(2,2)
/kllist
block: blockwrite
File name for block output: Spin4/Spin*(4)-/PSO(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin4/Spin*(4)-/PSO(2,2)/mat.bin
File name for polynomial output: Spin4/Spin*(4)-/PSO(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(4,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1.A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2.Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): CC
main: cartan
there is a unique real form: sl(2,C).sl(2,C)
Name an output file (return for stdout, ? to abandon): Spin4/Spin(4,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin4/Spin(4,C)/KGB
real: kgborder
kgbsize: 4
Name an output file (return for stdout, ? to abandon): Spin4/Spin(4,C)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sl(2,C).sl(2,C)
Name an output file (return for stdout, ? to abandon): Spin4/Spin(4,C)/PSO(4,C)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin4/Spin(4,C)/PSO(4,C)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin4/Spin(4,C)/PSO(4,C)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin4/Spin(4,C)/PSO(4,C)
/kllist
block: blockwrite
File name for block output: Spin4/Spin(4,C)/PSO(4,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin4/Spin(4,C)/PSO(4,C)/mat.bin
File name for polynomial output: Spin4/Spin(4,C)/PSO(4,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B2
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(5)
1: so(4,1)
2: so(3,2)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin5/Spin(5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin5/Spin(5)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Spin5/Spin(5)/kgborder
real: block
there is a unique dual real form choice: sp(4,R)
Name an output file (return for stdout, ? to abandon): Spin5/Spin(5)/PSp(4,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin5/Spin(5)/PSp(4,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin5/Spin(5)/PSp(4,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin5/Spin(5)/PSp(4,R)/k
llist
block: blockwrite
File name for block output: Spin5/Spin(5)/PSp(4,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin5/Spin(5)/PSp(4,R)/mat.bin
File name for polynomial output: Spin5/Spin(5)/PSp(4,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(4,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B2
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(5)
1: so(4,1)
2: so(3,2)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin5/Spin(4,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin5/Spin(4,1)/KGB
real: kgborder
kgbsize: 4
Name an output file (return for stdout, ? to abandon): Spin5/Spin(4,1)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sp(4,R)
Name an output file (return for stdout, ? to abandon): Spin5/Spin(4,1)/PSp(4,R)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin5/Spin(4,1)/PSp(4,R)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin5/Spin(4,1)/PSp(4,R)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin5/Spin(4,1)/PSp(4,R)
/kllist
block: blockwrite
File name for block output: Spin5/Spin(4,1)/PSp(4,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin5/Spin(4,1)/PSp(4,R)/mat.bin
File name for polynomial output: Spin5/Spin(4,1)/PSp(4,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(3,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B2
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(5)
1: so(4,1)
2: so(3,2)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin5/Spin(3,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin5/Spin(3,2)/KGB
real: kgborder
kgbsize: 11
Name an output file (return for stdout, ? to abandon): Spin5/Spin(3,2)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
0: sp(2)
1: sp(1,1)
2: sp(4,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin5/Spin(3,2)/PSp(2)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin5/Spin(3,2)/PSp(2)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin5/Spin(3,2)/PSp(2)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin5/Spin(3,2)/PSp(2)/k
llist
block: blockwrite
File name for block output: Spin5/Spin(3,2)/PSp(2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin5/Spin(3,2)/PSp(2)/mat.bin
File name for polynomial output: Spin5/Spin(3,2)/PSp(2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(2)
1: sp(1,1)
2: sp(4,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin5/Spin(3,2)/PSp(1,1)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin5/Spin(3,2)/PSp(1,1)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin5/Spin(3,2)/PSp(1,1)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin5/Spin(3,2)/PSp(1,1)
/kllist
block: blockwrite
File name for block output: Spin5/Spin(3,2)/PSp(1,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin5/Spin(3,2)/PSp(1,1)/mat.bin
File name for polynomial output: Spin5/Spin(3,2)/PSp(1,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(2)
1: sp(1,1)
2: sp(4,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin5/Spin(3,2)/PSp(4,R)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin5/Spin(3,2)/PSp(4,R)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin5/Spin(3,2)/PSp(4,R)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin5/Spin(3,2)/PSp(4,R)
/kllist
block: blockwrite
File name for block output: Spin5/Spin(3,2)/PSp(4,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin5/Spin(3,2)/PSp(4,R)/mat.bin
File name for polynomial output: Spin5/Spin(3,2)/PSp(4,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(5,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B2.B2
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: so(5,C)
Name an output file (return for stdout, ? to abandon): Spin5/Spin(5,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin5/Spin(5,C)/KGB
real: kgborder
kgbsize: 8
Name an output file (return for stdout, ? to abandon): Spin5/Spin(5,C)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sp(4,C)
Name an output file (return for stdout, ? to abandon): Spin5/Spin(5,C)/PSp(5,C)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin5/Spin(5,C)/PSp(5,C)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin5/Spin(5,C)/PSp(5,C)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin5/Spin(5,C)/PSp(5,C)
/kllist
block: blockwrite
File name for block output: Spin5/Spin(5,C)/PSp(5,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin5/Spin(5,C)/PSp(5,C)/mat.bin
File name for polynomial output: Spin5/Spin(5,C)/PSp(5,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin6/Spin(6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin6/Spin(6)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Spin6/Spin(6)/kgborder
real: block
there is a unique dual real form choice: sl(4,R)
Name an output file (return for stdout, ? to abandon): Spin6/Spin(6)/PSO(3,3)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin6/Spin(6)/PSO(3,3)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin6/Spin(6)/PSO(3,3)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin6/Spin(6)/PSO(3,3)/k
llist
block: blockwrite
File name for block output: Spin6/Spin(6)/PSO(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin6/Spin(6)/PSO(3,3)/mat.bin
File name for polynomial output: Spin6/Spin(6)/PSO(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(5,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin6/Spin(5,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin6/Spin(5,1)/KGB
real: kgborder
kgbsize: 3
Name an output file (return for stdout, ? to abandon): Spin6/Spin(5,1)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: su(2,2)
Name an output file (return for stdout, ? to abandon): Spin6/Spin(5,1)/PSO(4,2)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin6/Spin(5,1)/PSO(4,2)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin6/Spin(5,1)/PSO(4,2)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin6/Spin(5,1)/PSO(4,2)
/kllist
block: blockwrite
File name for block output: Spin6/Spin(5,1)/PSO(4,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin6/Spin(5,1)/PSO(4,2)/mat.bin
File name for polynomial output: Spin6/Spin(5,1)/PSO(4,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(4,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin6/Spin(4,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin6/Spin(4,2)/KGB
real: kgborder
kgbsize: 21
Name an output file (return for stdout, ? to abandon): Spin6/Spin(4,2)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin6/Spin(4,2)/PSO(5,1)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin6/Spin(4,2)/PSO(5,1)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin6/Spin(4,2)/PSO(5,1)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin6/Spin(4,2)/PSO(5,1)
/kllist
block: blockwrite
File name for block output: Spin6/Spin(4,2)/PSO(5,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin6/Spin(4,2)/PSO(5,1)/mat.bin
File name for polynomial output: Spin6/Spin(4,2)/PSO(5,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin6/Spin(4,2)/PSO(3,3)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin6/Spin(4,2)/PSO(3,3)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin6/Spin(4,2)/PSO(3,3)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin6/Spin(4,2)/PSO(3,3)
/kllist
block: blockwrite
File name for block output: Spin6/Spin(4,2)/PSO(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin6/Spin(4,2)/PSO(3,3)/mat.bin
File name for polynomial output: Spin6/Spin(4,2)/PSO(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(3,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin6/Spin(3,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin6/Spin(3,3)/KGB
real: kgborder
kgbsize: 13
Name an output file (return for stdout, ? to abandon): Spin6/Spin(3,3)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin6/Spin(3,3)/PSO(6)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin6/Spin(3,3)/PSO(6)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin6/Spin(3,3)/PSO(6)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin6/Spin(3,3)/PSO(6)/k
llist
block: blockwrite
File name for block output: Spin6/Spin(3,3)/PSO(6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin6/Spin(3,3)/PSO(6)/mat.bin
File name for polynomial output: Spin6/Spin(3,3)/PSO(6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin6/Spin(3,3)/PSO*(6)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin6/Spin(3,3)/PSO*(6)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin6/Spin(3,3)/PSO*(6)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin6/Spin(3,3)/PSO*(6)/
kllist
block: blockwrite
File name for block output: Spin6/Spin(3,3)/PSO*(6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin6/Spin(3,3)/PSO*(6)/mat.bin
File name for polynomial output: Spin6/Spin(3,3)/PSO*(6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin6/Spin(3,3)/PSO(4,2)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin6/Spin(3,3)/PSO(4,2)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin6/Spin(3,3)/PSO(4,2)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin6/Spin(3,3)/PSO(4,2)
/kllist
block: blockwrite
File name for block output: Spin6/Spin(3,3)/PSO(4,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin6/Spin(3,3)/PSO(4,2)/mat.bin
File name for polynomial output: Spin6/Spin(3,3)/PSO(4,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin*(6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin6/Spin*(6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin6/Spin*(6)/KGB
real: kgborder
kgbsize: 10
Name an output file (return for stdout, ? to abandon): Spin6/Spin*(6)/kgborder
real: block
there is a unique dual real form choice: sl(4,R)
Name an output file (return for stdout, ? to abandon): Spin6/Spin*(6)/PSO(3,3)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin6/Spin*(6)/PSO(3,3)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin6/Spin*(6)/PSO(3,3)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin6/Spin*(6)/PSO(3,3)/
kllist
block: blockwrite
File name for block output: Spin6/Spin*(6)/PSO(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin6/Spin*(6)/PSO(3,3)/mat.bin
File name for polynomial output: Spin6/Spin*(6)/PSO(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(6,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3.A3
elements of finite order in the center of the simply connected group:
Z/4.Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: sl(4,C)
Name an output file (return for stdout, ? to abandon): Spin6/Spin(6,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin6/Spin(6,C)/KGB
real: kgborder
kgbsize: 24
Name an output file (return for stdout, ? to abandon): Spin6/Spin(6,C)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sl(4,C)
Name an output file (return for stdout, ? to abandon): Spin6/Spin(6,C)/PSO(6,C)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin6/Spin(6,C)/PSO(6,C)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin6/Spin(6,C)/PSO(6,C)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin6/Spin(6,C)/PSO(6,C)
/kllist
block: blockwrite
File name for block output: Spin6/Spin(6,C)/PSO(6,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin6/Spin(6,C)/PSO(6,C)/mat.bin
File name for polynomial output: Spin6/Spin(6,C)/PSO(6,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(7)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B3
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(7)
1: so(6,1)
2: so(5,2)
3: so(4,3)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin7/Spin(7)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin7/Spin(7)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Spin7/Spin(7)/kgborder
real: block
there is a unique dual real form choice: sp(6,R)
Name an output file (return for stdout, ? to abandon): Spin7/Spin(7)/PSp(6,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin7/Spin(7)/PSp(6,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin7/Spin(7)/PSp(6,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin7/Spin(7)/PSp(6,R)/k
llist
block: blockwrite
File name for block output: Spin7/Spin(7)/PSp(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin7/Spin(7)/PSp(6,R)/mat.bin
File name for polynomial output: Spin7/Spin(7)/PSp(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(6,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B3
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(7)
1: so(6,1)
2: so(5,2)
3: so(4,3)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin7/Spin(6,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin7/Spin(6,1)/KGB
real: kgborder
kgbsize: 5
Name an output file (return for stdout, ? to abandon): Spin7/Spin(6,1)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sp(6,R)
Name an output file (return for stdout, ? to abandon): Spin7/Spin(6,1)/PSp(6,R)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin7/Spin(6,1)/PSp(6,R)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin7/Spin(6,1)/PSp(6,R)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin7/Spin(6,1)/PSp(6,R)
/kllist
block: blockwrite
File name for block output: Spin7/Spin(6,1)/PSp(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin7/Spin(6,1)/PSp(6,R)/mat.bin
File name for polynomial output: Spin7/Spin(6,1)/PSp(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(5,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B3
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(7)
1: so(6,1)
2: so(5,2)
3: so(4,3)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin7/Spin(5,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin7/Spin(5,2)/KGB
real: kgborder
kgbsize: 24
Name an output file (return for stdout, ? to abandon): Spin7/Spin(5,2)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sp(6,R)
Name an output file (return for stdout, ? to abandon): Spin7/Spin(5,2)/PSp(6,R)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin7/Spin(5,2)/PSp(6,R)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin7/Spin(5,2)/PSp(6,R)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin7/Spin(5,2)/PSp(6,R)
/kllist
block: blockwrite
File name for block output: Spin7/Spin(5,2)/PSp(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin7/Spin(5,2)/PSp(6,R)/mat.bin
File name for polynomial output: Spin7/Spin(5,2)/PSp(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(4,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B3
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(7)
1: so(6,1)
2: so(5,2)
3: so(4,3)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): Spin7/Spin(4,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin7/Spin(4,3)/KGB
real: kgborder
kgbsize: 34
Name an output file (return for stdout, ? to abandon): Spin7/Spin(4,3)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
0: sp(3)
1: sp(2,1)
2: sp(6,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin7/Spin(4,3)/PSp(3)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin7/Spin(4,3)/PSp(3)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin7/Spin(4,3)/PSp(3)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin7/Spin(4,3)/PSp(3)/k
llist
block: blockwrite
File name for block output: Spin7/Spin(4,3)/PSp(3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin7/Spin(4,3)/PSp(3)/mat.bin
File name for polynomial output: Spin7/Spin(4,3)/PSp(3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(3)
1: sp(2,1)
2: sp(6,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin7/Spin(4,3)/PSp(2,1)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin7/Spin(4,3)/PSp(2,1)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin7/Spin(4,3)/PSp(2,1)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin7/Spin(4,3)/PSp(2,1)
/kllist
block: blockwrite
File name for block output: Spin7/Spin(4,3)/PSp(2,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin7/Spin(4,3)/PSp(2,1)/mat.bin
File name for polynomial output: Spin7/Spin(4,3)/PSp(2,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(3)
1: sp(2,1)
2: sp(6,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin7/Spin(4,3)/PSp(6,R)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin7/Spin(4,3)/PSp(6,R)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin7/Spin(4,3)/PSp(6,R)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin7/Spin(4,3)/PSp(6,R)
/kllist
block: blockwrite
File name for block output: Spin7/Spin(4,3)/PSp(6,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin7/Spin(4,3)/PSp(6,R)/mat.bin
File name for polynomial output: Spin7/Spin(4,3)/PSp(6,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(7,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B3.B3
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: so(7,C)
Name an output file (return for stdout, ? to abandon): Spin7/Spin(7,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin7/Spin(7,C)/KGB
real: kgborder
kgbsize: 48
Name an output file (return for stdout, ? to abandon): Spin7/Spin(7,C)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sp(6,C)
Name an output file (return for stdout, ? to abandon): Spin7/Spin(7,C)/PSp(6,C)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin7/Spin(7,C)/PSp(6,C)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin7/Spin(7,C)/PSp(6,C)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin7/Spin(7,C)/PSp(6,C)
/kllist
block: blockwrite
File name for block output: Spin7/Spin(7,C)/PSp(6,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin7/Spin(7,C)/PSp(6,C)/mat.bin
File name for polynomial output: Spin7/Spin(7,C)/PSp(6,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(8)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin8/Spin(8)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin8/Spin(8)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Spin8/Spin(8)/kgborder
real: block
there is a unique dual real form choice: so(4,4)
Name an output file (return for stdout, ? to abandon): Spin8/Spin(8)/PSO(4,4)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin8/Spin(8)/PSO(4,4)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin8/Spin(8)/PSO(4,4)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin8/Spin(8)/PSO(4,4)/k
llist
block: blockwrite
File name for block output: Spin8/Spin(8)/PSO(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin8/Spin(8)/PSO(4,4)/mat.bin
File name for polynomial output: Spin8/Spin(8)/PSO(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(7,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(7,1)
1: so(5,3)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin8/Spin(7,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin8/Spin(7,1)/KGB
real: kgborder
kgbsize: 4
Name an output file (return for stdout, ? to abandon): Spin8/Spin(7,1)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: so(5,3)
Name an output file (return for stdout, ? to abandon): Spin8/Spin(7,1)/PSO(5,3)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin8/Spin(7,1)/PSO(5,3)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin8/Spin(7,1)/PSO(5,3)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin8/Spin(7,1)/PSO(5,3)
/kllist
block: blockwrite
File name for block output: Spin8/Spin(7,1)/PSO(5,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin8/Spin(7,1)/PSO(5,3)/mat.bin
File name for polynomial output: Spin8/Spin(7,1)/PSO(5,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(6,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin8/Spin(6,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin8/Spin(6,2)/KGB
real: kgborder
kgbsize: 38
Name an output file (return for stdout, ? to abandon): Spin8/Spin(6,2)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
1: so(6,2)
4: so(4,4)
enter your choice: 0
sorry, value must be one of 1,4
try again (? to abort): Spin8/Spin(6,2)/PSO(6,2)/block
sorry, value must be one of 1,4
try again (? to abort): wgraph
sorry, value must be one of 1,4
try again (? to abort): Spin8/Spin(6,2)/PSO(6,2)/wgraph
sorry, value must be one of 1,4
try again (? to abort): wcells
sorry, value must be one of 1,4
try again (? to abort): Spin8/Spin(6,2)/PSO(6,2)/wcells
sorry, value must be one of 1,4
try again (? to abort): kllist
sorry, value must be one of 1,4
try again (? to abort): Spin8/Spin(6,2)/PSO(6,2)/kllist
sorry, value must be one of 1,4
try again (? to abort): blockwrite
sorry, value must be one of 1,4
try again (? to abort): Spin8/Spin(6,2)/PSO(6,2)/blk.bin
sorry, value must be one of 1,4
try again (? to abort): klwrite
sorry, value must be one of 1,4
try again (? to abort): Spin8/Spin(6,2)/PSO(6,2)/mat.bin
sorry, value must be one of 1,4
try again (? to abort): Spin8/Spin(6,2)/PSO(6,2)/pol.bin
sorry, value must be one of 1,4
try again (? to abort): q
sorry, value must be one of 1,4
try again (? to abort): block
sorry, value must be one of 1,4
try again (? to abort): 1
Name an output file (return for stdout, ? to abandon): Spin8/Spin(6,2)/PSO(4,4)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin8/Spin(6,2)/PSO(4,4)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin8/Spin(6,2)/PSO(4,4)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin8/Spin(6,2)/PSO(4,4)
/kllist
block: blockwrite
File name for block output: Spin8/Spin(6,2)/PSO(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin8/Spin(6,2)/PSO(4,4)/mat.bin
File name for polynomial output: Spin8/Spin(6,2)/PSO(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(5,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(7,1)
1: so(5,3)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin8/Spin(5,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin8/Spin(5,3)/KGB
real: kgborder
kgbsize: 40
Name an output file (return for stdout, ? to abandon): Spin8/Spin(5,3)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
0: so(7,1)
1: so(5,3)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin8/Spin(5,3)/PSO(7,1)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin8/Spin(5,3)/PSO(7,1)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin8/Spin(5,3)/PSO(7,1)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin8/Spin(5,3)/PSO(7,1)
/kllist
block: blockwrite
File name for block output: Spin8/Spin(5,3)/PSO(7,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin8/Spin(5,3)/PSO(7,1)/mat.bin
File name for polynomial output: Spin8/Spin(5,3)/PSO(7,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(7,1)
1: so(5,3)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin8/Spin(5,3)/PSO(5,3)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin8/Spin(5,3)/PSO(5,3)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin8/Spin(5,3)/PSO(5,3)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin8/Spin(5,3)/PSO(5,3)
/kllist
block: blockwrite
File name for block output: Spin8/Spin(5,3)/PSO(5,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin8/Spin(5,3)/PSO(5,3)/mat.bin
File name for polynomial output: Spin8/Spin(5,3)/PSO(5,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(4,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/KGB
real: kgborder
kgbsize: 109
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/PSO(8)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/PSO(8)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/PSO(8)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/PSO(8)/k
llist
block: blockwrite
File name for block output: Spin8/Spin(4,4)/PSO(8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin8/Spin(4,4)/PSO(8)/mat.bin
File name for polynomial output: Spin8/Spin(4,4)/PSO(8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/PSO(6,2)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/PSO(6,2)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/PSO(6,2)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/PSO(6,2)
/kllist
block: blockwrite
File name for block output: Spin8/Spin(4,4)/PSO(6,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin8/Spin(4,4)/PSO(6,2)/mat.bin
File name for polynomial output: Spin8/Spin(4,4)/PSO(6,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/PSO*(8)+
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/PSO*(8)+
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/PSO*(8)+
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/PSO*(8)+
/kllist
block: blockwrite
File name for block output: Spin8/Spin(4,4)/PSO*(8)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin8/Spin(4,4)/PSO*(8)+/mat.bin
File name for polynomial output: Spin8/Spin(4,4)/PSO*(8)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/PSO*(8)-
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/PSO*(8)-
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/PSO*(8)-
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/PSO*(8)-
/kllist
block: blockwrite
File name for block output: Spin8/Spin(4,4)/PSO*(8)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin8/Spin(4,4)/PSO*(8)-/mat.bin
File name for polynomial output: Spin8/Spin(4,4)/PSO*(8)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/SO(4,4)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/SO(4,4)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/SO(4,4)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin8/Spin(4,4)/SO(4,4)/
kllist
block: blockwrite
File name for block output: Spin8/Spin(4,4)/SO(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin8/Spin(4,4)/SO(4,4)/mat.bin
File name for polynomial output: Spin8/Spin(4,4)/SO(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin*(8)+
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)+/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)+/KGB
real: kgborder
kgbsize: 38
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)+/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
2: so*(8)[0,1]
4: so(4,4)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)+/PSO*(8)+
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)+/PSO*(8)+
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)+/PSO*(8)+
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)+/PSO*(8)+
/kllist
block: blockwrite
File name for block output: Spin8/Spin*(8)+/PSO*(8)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin8/Spin*(8)+/PSO*(8)+/mat.bin
File name for polynomial output: Spin8/Spin*(8)+/PSO*(8)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so*(8)[0,1]
4: so(4,4)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)+/PSO(4,4)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)+/PSO(4,4)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)+/PSO(4,4)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)+/PSO(4,4)
/kllist
block: blockwrite
File name for block output: Spin8/Spin*(8)+/PSO(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin8/Spin*(8)+/PSO(4,4)/mat.bin
File name for polynomial output: Spin8/Spin*(8)+/PSO(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin*(8)-
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)-/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)-/KGB
real: kgborder
kgbsize: 38
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)-/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)-/PSO*(8)-
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)-/PSO*(8)-
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)-/PSO*(8)-
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)-/PSO*(8)-
/kllist
block: blockwrite
File name for block output: Spin8/Spin*(8)-/PSO*(8)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin8/Spin*(8)-/PSO*(8)-/mat.bin
File name for polynomial output: Spin8/Spin*(8)-/PSO*(8)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)-/PSO(4,4)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)-/PSO(4,4)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)-/PSO(4,4)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin8/Spin*(8)-/PSO(4,4)
/kllist
block: blockwrite
File name for block output: Spin8/Spin*(8)-/PSO(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin8/Spin*(8)-/PSO(4,4)/mat.bin
File name for polynomial output: Spin8/Spin*(8)-/PSO(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(8,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4.D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2.Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: so(8,C)
Name an output file (return for stdout, ? to abandon): Spin8/Spin(8,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin8/Spin(8,C)/KGB
real: kgborder
kgbsize: 192
Name an output file (return for stdout, ? to abandon): Spin8/Spin(8,C)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: so(8,C)
Name an output file (return for stdout, ? to abandon): Spin8/Spin(8,C)/PSO(8,C)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin8/Spin(8,C)/PSO(8,C)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin8/Spin(8,C)/PSO(8,C)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin8/Spin(8,C)/PSO(8,C)
/kllist
block: blockwrite
File name for block output: Spin8/Spin(8,C)/PSO(8,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin8/Spin(8,C)/PSO(8,C)/mat.bin
File name for polynomial output: Spin8/Spin(8,C)/PSO(8,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(9)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B4
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(9)
1: so(8,1)
2: so(7,2)
3: so(6,3)
4: so(5,4)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin9/Spin(9)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin9/Spin(9)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Spin9/Spin(9)/kgborder
real: block
there is a unique dual real form choice: sp(8,R)
Name an output file (return for stdout, ? to abandon): Spin9/Spin(9)/PSp(8,R)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin9/Spin(9)/PSp(8,R)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin9/Spin(9)/PSp(8,R)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin9/Spin(9)/PSp(8,R)/k
llist
block: blockwrite
File name for block output: Spin9/Spin(9)/PSp(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin9/Spin(9)/PSp(8,R)/mat.bin
File name for polynomial output: Spin9/Spin(9)/PSp(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(8,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B4
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(9)
1: so(8,1)
2: so(7,2)
3: so(6,3)
4: so(5,4)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin9/Spin(8,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin9/Spin(8,1)/KGB
real: kgborder
kgbsize: 6
Name an output file (return for stdout, ? to abandon): Spin9/Spin(8,1)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sp(8,R)
Name an output file (return for stdout, ? to abandon): Spin9/Spin(8,1)/PSp(8,R)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin9/Spin(8,1)/PSp(8,R)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin9/Spin(8,1)/PSp(8,R)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin9/Spin(8,1)/PSp(8,R)
/kllist
block: blockwrite
File name for block output: Spin9/Spin(8,1)/PSp(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin9/Spin(8,1)/PSp(8,R)/mat.bin
File name for polynomial output: Spin9/Spin(8,1)/PSp(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(7,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B4
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(9)
1: so(8,1)
2: so(7,2)
3: so(6,3)
4: so(5,4)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin9/Spin(7,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin9/Spin(7,2)/KGB
real: kgborder
kgbsize: 42
Name an output file (return for stdout, ? to abandon): Spin9/Spin(7,2)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sp(8,R)
Name an output file (return for stdout, ? to abandon): Spin9/Spin(7,2)/PSp(8,R)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin9/Spin(7,2)/PSp(8,R)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin9/Spin(7,2)/PSp(8,R)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin9/Spin(7,2)/PSp(8,R)
/kllist
block: blockwrite
File name for block output: Spin9/Spin(7,2)/PSp(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin9/Spin(7,2)/PSp(8,R)/mat.bin
File name for polynomial output: Spin9/Spin(7,2)/PSp(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(6,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B4
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(9)
1: so(8,1)
2: so(7,2)
3: so(6,3)
4: so(5,4)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): Spin9/Spin(6,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin9/Spin(6,3)/KGB
real: kgborder
kgbsize: 78
Name an output file (return for stdout, ? to abandon): Spin9/Spin(6,3)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sp(8,R)
Name an output file (return for stdout, ? to abandon): Spin9/Spin(6,3)/PSp(8,R)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin9/Spin(6,3)/PSp(8,R)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin9/Spin(6,3)/PSp(8,R)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin9/Spin(6,3)/PSp(8,R)
/kllist
block: blockwrite
File name for block output: Spin9/Spin(6,3)/PSp(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin9/Spin(6,3)/PSp(8,R)/mat.bin
File name for polynomial output: Spin9/Spin(6,3)/PSp(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(5,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B4
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(9)
1: so(8,1)
2: so(7,2)
3: so(6,3)
4: so(5,4)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/KGB
real: kgborder
kgbsize: 149
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
0: sp(4)
1: sp(3,1)
2: sp(2,2)
3: sp(8,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/PSp(4)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/PSp(4)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/PSp(4)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/PSp(4)/k
llist
block: blockwrite
File name for block output: Spin9/Spin(5,4)/PSp(4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin9/Spin(5,4)/PSp(4)/mat.bin
File name for polynomial output: Spin9/Spin(5,4)/PSp(4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(4)
1: sp(3,1)
2: sp(2,2)
3: sp(8,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/PSp(3,1)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/PSp(3,1)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/PSp(3,1)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/PSp(3,1)
/kllist
block: blockwrite
File name for block output: Spin9/Spin(5,4)/PSp(3,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin9/Spin(5,4)/PSp(3,1)/mat.bin
File name for polynomial output: Spin9/Spin(5,4)/PSp(3,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(4)
1: sp(3,1)
2: sp(2,2)
3: sp(8,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/PSp(2,2)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/PSp(2,2)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/PSp(2,2)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/PSp(2,2)
/kllist
block: blockwrite
File name for block output: Spin9/Spin(5,4)/PSp(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin9/Spin(5,4)/PSp(2,2)/mat.bin
File name for polynomial output: Spin9/Spin(5,4)/PSp(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(4)
1: sp(3,1)
2: sp(2,2)
3: sp(8,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/PSp(8,R)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/PSp(8,R)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/PSp(8,R)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin9/Spin(5,4)/PSp(8,R)
/kllist
block: blockwrite
File name for block output: Spin9/Spin(5,4)/PSp(8,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin9/Spin(5,4)/PSp(8,R)/mat.bin
File name for polynomial output: Spin9/Spin(5,4)/PSp(8,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(9,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B4.B4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: so(9,C)
Name an output file (return for stdout, ? to abandon): Spin9/Spin(9,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin9/Spin(9,C)/KGB
real: kgborder
kgbsize: 384
Name an output file (return for stdout, ? to abandon): Spin9/Spin(9,C)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sp(8,C)
Name an output file (return for stdout, ? to abandon): Spin9/Spin(9,C)/PSp(4,C)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin9/Spin(9,C)/PSp(4,C)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin9/Spin(9,C)/PSp(4,C)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin9/Spin(9,C)/PSp(4,C)
/kllist
block: blockwrite
File name for block output: Spin9/Spin(9,C)/PSp(4,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin9/Spin(9,C)/PSp(4,C)/mat.bin
File name for polynomial output: Spin9/Spin(9,C)/PSp(4,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(10)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin10/Spin(10)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin10/Spin(10)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Spin10/Spin(10)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: so(5,5)
Name an output file (return for stdout, ? to abandon): Spin10/Spin(10)/SO(5,5)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin10/Spin(10)/SO(5,5)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin10/Spin(10)/SO(5,5)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin10/Spin(10)/SO(5,5)/
kllist
block: blockwrite
File name for block output: Spin10/Spin(10)/SO(5,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin10/Spin(10)/SO(5,5)/mat.bin
File name for polynomial output: Spin10/Spin(10)/SO(5,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(9,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin10/Spin(9,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin10/Spin(9,1)/KGB
real: kgborder
kgbsize: 5
Name an output file (return for stdout, ? to abandon): Spin10/Spin(9,1)/kgborde
r
real: block
there is a unique dual real form choice: so(6,4)
Name an output file (return for stdout, ? to abandon): Spin10/Spin(9,1)/PSO(6,4
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin10/Spin(9,1)/PSO(6,4
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin10/Spin(9,1)/PSO(6,4
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin10/Spin(9,1)/PSO(6,4
)/kllist
block: blockwrite
File name for block output: Spin10/Spin(9,1)/PSO(6,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin10/Spin(9,1)/PSO(6,4)/mat.bin
File name for polynomial output: Spin10/Spin(9,1)/PSO(6,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(8,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin10/Spin(8,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin10/Spin(8,2)/KGB
real: kgborder
kgbsize: 60
Name an output file (return for stdout, ? to abandon): Spin10/Spin(8,2)/kgborde
r
real: block
possible (weak) dual real forms are:
1: so(7,3)
2: so(5,5)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin10/Spin(8,2)/PSO(7,3
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin10/Spin(8,2)/PSO(7,3
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin10/Spin(8,2)/PSO(7,3
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin10/Spin(8,2)/PSO(7,3
)/kllist
block: blockwrite
File name for block output: Spin10/Spin(8,2)/PSO(7,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin10/Spin(8,2)/PSO(7,3)/mat.bin
File name for polynomial output: Spin10/Spin(8,2)/PSO(7,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(7,3)
2: so(5,5)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin10/Spin(8,2)/SO(5,5)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin10/Spin(8,2)/SO(5,5)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin10/Spin(8,2)/SO(5,5)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin10/Spin(8,2)/SO(5,5)
/kllist
block: blockwrite
File name for block output: Spin10/Spin(8,2)/SO(5,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin10/Spin(8,2)/SO(5,5)/mat.bin
File name for polynomial output: Spin10/Spin(8,2)/SO(5,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(7,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin10/Spin(7,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin10/Spin(7,3)/KGB
real: kgborder
kgbsize: 90
Name an output file (return for stdout, ? to abandon): Spin10/Spin(7,3)/kgborde
r
real: block
possible (weak) dual real forms are:
1: so(8,2)
3: so(6,4)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin10/Spin(7,3)/PSO(8,2
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin10/Spin(7,3)/PSO(8,2
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin10/Spin(7,3)/PSO(8,2
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin10/Spin(7,3)/PSO(8,2
)/kllist
block: blockwrite
File name for block output: Spin10/Spin(7,3)/PSO(8,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin10/Spin(7,3)/PSO(8,2)/mat.bin
File name for polynomial output: Spin10/Spin(7,3)/PSO(8,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(8,2)
3: so(6,4)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin10/Spin(7,3)/PSO(6,4
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin10/Spin(7,3)/PSO(6,4
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin10/Spin(7,3)/PSO(6,4
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin10/Spin(7,3)/PSO(6,4
)/kllist
block: blockwrite
File name for block output: Spin10/Spin(7,3)/PSO(6,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin10/Spin(7,3)/PSO(6,4)/mat.bin
File name for polynomial output: Spin10/Spin(7,3)/PSO(6,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(6,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): Spin10/Spin(6,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin10/Spin(6,4)/KGB
real: kgborder
kgbsize: 355
Name an output file (return for stdout, ? to abandon): Spin10/Spin(6,4)/kgborde
r
real: block
possible (weak) dual real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin10/Spin(6,4)/PSO(9,1
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin10/Spin(6,4)/PSO(9,1
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin10/Spin(6,4)/PSO(9,1
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin10/Spin(6,4)/PSO(9,1
)/kllist
block: blockwrite
File name for block output: Spin10/Spin(6,4)/PSO(9,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin10/Spin(6,4)/PSO(9,1)/mat.bin
File name for polynomial output: Spin10/Spin(6,4)/PSO(9,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin10/Spin(6,4)/PSO(7,3
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin10/Spin(6,4)/PSO(7,3
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin10/Spin(6,4)/PSO(7,3
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin10/Spin(6,4)/PSO(7,3
)/kllist
block: blockwrite
File name for block output: Spin10/Spin(6,4)/PSO(7,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin10/Spin(6,4)/PSO(7,3)/mat.bin
File name for polynomial output: Spin10/Spin(6,4)/PSO(7,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin10/Spin(6,4)/PSO(5,5
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin10/Spin(6,4)/PSO(5,5
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin10/Spin(6,4)/PSO(5,5
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin10/Spin(6,4)/PSO(5,5
)/kllist
block: blockwrite
File name for block output: Spin10/Spin(6,4)/PSO(5,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin10/Spin(6,4)/PSO(5,5)/mat.bin
File name for polynomial output: Spin10/Spin(6,4)/PSO(5,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(5,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/KGB
real: kgborder
kgbsize: 251
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/kgborde
r
real: block
possible (weak) dual real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/PSO(10)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/PSO(10)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/PSO(10)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/PSO(10)
/kllist
block: blockwrite
File name for block output: Spin10/Spin(5,5)/PSO(10)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin10/Spin(5,5)/PSO(10)/mat.bin
File name for polynomial output: Spin10/Spin(5,5)/PSO(10)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/PSO(8,2
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/PSO(8,2
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/PSO(8,2
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/PSO(8,2
)/kllist
block: blockwrite
File name for block output: Spin10/Spin(5,5)/PSO(8,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin10/Spin(5,5)/PSO(8,2)/mat.bin
File name for polynomial output: Spin10/Spin(5,5)/PSO(8,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/PSO*(10
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/PSO*(10
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/PSO*(10
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/PSO*(10
)/kllist
block: blockwrite
File name for block output: Spin10/Spin(5,5)/PSO*(10)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin10/Spin(5,5)/PSO*(10)/mat.bin
File name for polynomial output: Spin10/Spin(5,5)/PSO*(10)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/PSO(6,4
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/PSO(6,4
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/PSO(6,4
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin10/Spin(5,5)/PSO(6,4
)/kllist
block: blockwrite
File name for block output: Spin10/Spin(5,5)/PSO(6,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin10/Spin(5,5)/PSO(6,4)/mat.bin
File name for polynomial output: Spin10/Spin(5,5)/PSO(6,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin*(10)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin10/Spin*(10)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin10/Spin*(10)/KGB
real: kgborder
kgbsize: 156
Name an output file (return for stdout, ? to abandon): Spin10/Spin*(10)/kgborde
r
real: block
there is a unique dual real form choice: so(5,5)
Name an output file (return for stdout, ? to abandon): Spin10/Spin*(10)/PSO(5,5
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin10/Spin*(10)/PSO(5,5
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin10/Spin*(10)/PSO(5,5
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin10/Spin*(10)/PSO(5,5
)/kllist
block: blockwrite
File name for block output: Spin10/Spin*(10)/PSO(5,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin10/Spin*(10)/PSO(5,5)/mat.bin
File name for polynomial output: Spin10/Spin*(10)/PSO(5,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(10,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5.D5
elements of finite order in the center of the simply connected group:
Z/4.Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: so(10,C)
Name an output file (return for stdout, ? to abandon): Spin10/Spin(10,C)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin10/Spin(10,C)/KGB
real: kgborder
kgbsize: 1920
Name an output file (return for stdout, ? to abandon): Spin10/Spin(10,C)/kgbord
er
real: block
there is a unique dual real form choice: so(10,C)
Name an output file (return for stdout, ? to abandon): Spin10/Spin(10,C)/PSO(10
,C)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin10/Spin(10,C)/PSO(10
,C)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin10/Spin(10,C)/PSO(10
,C)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin10/Spin(10,C)/PSO(10
,C)/kllist
block: blockwrite
File name for block output: Spin10/Spin(10,C)/PSO(10,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin10/Spin(10,C)/PSO(10,C)/mat.bin
File name for polynomial output: Spin10/Spin(10,C)/PSO(10,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(11)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B5
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(11)
1: so(10,1)
2: so(9,2)
3: so(8,3)
4: so(7,4)
5: so(6,5)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin11/Spin(11)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin11/Spin(11)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Spin11/Spin(11)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sp(10,R)
Name an output file (return for stdout, ? to abandon): Spin11/Spin(11)/PSp(10,R
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin11/Spin(11)/PSp(10,R
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin11/Spin(11)/PSp(10,R
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin11/Spin(11)/PSp(10,R
)/kllist
block: blockwrite
File name for block output: Spin11/Spin(11)/PSp(10,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin11/Spin(11)/PSp(10,R)/mat.bin
File name for polynomial output: Spin11/Spin(11)/PSp(10,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(10,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B5
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(11)
1: so(10,1)
2: so(9,2)
3: so(8,3)
4: so(7,4)
5: so(6,5)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin11/Spin(10,1)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin11/Spin(10,1)/KGB
real: kgborder
kgbsize: 7
Name an output file (return for stdout, ? to abandon): Spin11/Spin(10,1)/kgbord
er
real: block
there is a unique dual real form choice: sp(10,R)
Name an output file (return for stdout, ? to abandon): Spin11/Spin(10,1)/PSp(10
,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin11/Spin(10,1)/PSp(10
,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin11/Spin(10,1)/PSp(10
,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin11/Spin(10,1)/PSp(10
,R)/kllist
block: blockwrite
File name for block output: Spin11/Spin(10,1)/PSp(10,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin11/Spin(10,1)/PSp(10,R)/mat.bin
File name for polynomial output: Spin11/Spin(10,1)/PSp(10,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(9,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B5
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(11)
1: so(10,1)
2: so(9,2)
3: so(8,3)
4: so(7,4)
5: so(6,5)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin11/Spin(9,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin11/Spin(9,2)/KGB
real: kgborder
kgbsize: 65
Name an output file (return for stdout, ? to abandon): Spin11/Spin(9,2)/kgborde
r
real: block
there is a unique dual real form choice: sp(10,R)
Name an output file (return for stdout, ? to abandon): Spin11/Spin(9,2)/PSp(10,
R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin11/Spin(9,2)/PSp(10,
R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin11/Spin(9,2)/PSp(10,
R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin11/Spin(9,2)/PSp(10,
R)/kllist
block: blockwrite
File name for block output: Spin11/Spin(9,2)/PSp(10,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin11/Spin(9,2)/PSp(10,R)/mat.bin
File name for polynomial output: Spin11/Spin(9,2)/PSp(10,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(8,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B5
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(11)
1: so(10,1)
2: so(9,2)
3: so(8,3)
4: so(7,4)
5: so(6,5)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): Spin11/Spin(8,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin11/Spin(8,3)/KGB
real: kgborder
kgbsize: 150
Name an output file (return for stdout, ? to abandon): Spin11/Spin(8,3)/kgborde
r
real: block
there is a unique dual real form choice: sp(10,R)
Name an output file (return for stdout, ? to abandon): Spin11/Spin(8,3)/PSp(10,
R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin11/Spin(8,3)/PSp(10,
R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin11/Spin(8,3)/PSp(10,
R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin11/Spin(8,3)/PSp(10,
R)/kllist
block: blockwrite
File name for block output: Spin11/Spin(8,3)/PSp(10,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin11/Spin(8,3)/PSp(10,R)/mat.bin
File name for polynomial output: Spin11/Spin(8,3)/PSp(10,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(7,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B5
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(11)
1: so(10,1)
2: so(9,2)
3: so(8,3)
4: so(7,4)
5: so(6,5)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): Spin11/Spin(7,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin11/Spin(7,4)/KGB
real: kgborder
kgbsize: 445
Name an output file (return for stdout, ? to abandon): Spin11/Spin(7,4)/kgborde
r
real: block
there is a unique dual real form choice: sp(10,R)
Name an output file (return for stdout, ? to abandon): Spin11/Spin(7,4)/PSp(10,
R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin11/Spin(7,4)/PSp(10,
R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin11/Spin(7,4)/PSp(10,
R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin11/Spin(7,4)/PSp(10,
R)/kllist
block: blockwrite
File name for block output: Spin11/Spin(7,4)/PSp(10,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin11/Spin(7,4)/PSp(10,R)/mat.bin
File name for polynomial output: Spin11/Spin(7,4)/PSp(10,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(6,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B5
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(11)
1: so(10,1)
2: so(9,2)
3: so(8,3)
4: so(7,4)
5: so(6,5)
enter your choice: 5
real: cartan
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/KGB
real: kgborder
kgbsize: 606
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/kgborde
r
real: block
possible (weak) dual real forms are:
0: sp(5)
1: sp(4,1)
2: sp(3,2)
3: sp(10,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/PSp(5)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/PSp(5)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/PSp(5)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/PSp(5)/
kllist
block: blockwrite
File name for block output: Spin11/Spin(6,5)/PSp(5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin11/Spin(6,5)/PSp(5)/mat.bin
File name for polynomial output: Spin11/Spin(6,5)/PSp(5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(5)
1: sp(4,1)
2: sp(3,2)
3: sp(10,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/PSp(4,1
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/PSp(4,1
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/PSp(4,1
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/PSp(4,1
)/kllist
block: blockwrite
File name for block output: Spin11/Spin(6,5)/PSp(4,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin11/Spin(6,5)/PSp(4,1)/mat.bin
File name for polynomial output: Spin11/Spin(6,5)/PSp(4,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(5)
1: sp(4,1)
2: sp(3,2)
3: sp(10,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/PSp(3,2
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/PSp(3,2
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/PSp(3,2
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/PSp(3,2
)/kllist
block: blockwrite
File name for block output: Spin11/Spin(6,5)/PSp(3,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin11/Spin(6,5)/PSp(3,2)/mat.bin
File name for polynomial output: Spin11/Spin(6,5)/PSp(3,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(5)
1: sp(4,1)
2: sp(3,2)
3: sp(10,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/PSp(10,
R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/PSp(10,
R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/PSp(10,
R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin11/Spin(6,5)/PSp(10,
R)/kllist
block: blockwrite
File name for block output: Spin11/Spin(6,5)/PSp(10,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin11/Spin(6,5)/PSp(10,R)/mat.bin
File name for polynomial output: Spin11/Spin(6,5)/PSp(10,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(11,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B5.B5
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: so(11,C)
Name an output file (return for stdout, ? to abandon): Spin11/Spin(11,C)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin11/Spin(11,C)/KGB
real: kgborder
kgbsize: 3840
Name an output file (return for stdout, ? to abandon): Spin11/Spin(11,C)/kgbord
er
real: block
there is a unique dual real form choice: sp(10,C)
Name an output file (return for stdout, ? to abandon): Spin11/Spin(11,C)/PSp(10
,C)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin11/Spin(11,C)/PSp(10
,C)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin11/Spin(11,C)/PSp(10
,C)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin11/Spin(11,C)/PSp(10
,C)/kllist
block: blockwrite
File name for block output: Spin11/Spin(11,C)/PSp(10,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin11/Spin(11,C)/PSp(10,C)/mat.bin
File name for polynomial output: Spin11/Spin(11,C)/PSp(10,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(12)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin12/Spin(12)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin12/Spin(12)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Spin12/Spin(12)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: so(6,6)
Name an output file (return for stdout, ? to abandon): Spin12/Spin(12)/PSO(6,6)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(12)/PSO(6,6)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(12)/PSO(6,6)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(12)/PSO(6,6)
/kllist
block: blockwrite
File name for block output: Spin12/Spin(12)/PSO(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(12)/PSO(6,6)/mat.bin
File name for polynomial output: Spin12/Spin(12)/PSO(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(11,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin12/Spin(11,1)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin12/Spin(11,1)/KGB
real: kgborder
kgbsize: 6
Name an output file (return for stdout, ? to abandon): Spin12/Spin(11,1)/kgbord
er
real: block
there is a unique dual real form choice: so(7,5)
Name an output file (return for stdout, ? to abandon): Spin12/Spin(11,1)/PSO(7,
5)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(11,1)/PSO(7,
5)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(11,1)/PSO(7,
5)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(11,1)/PSO(7,
5)/kllist
block: blockwrite
File name for block output: Spin12/Spin(11,1)/PSO(7,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(11,1)/PSO(7,5)/mat.bin
File name for polynomial output: Spin12/Spin(11,1)/PSO(7,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(10,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin12/Spin(10,2)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin12/Spin(10,2)/KGB
real: kgborder
kgbsize: 87
Name an output file (return for stdout, ? to abandon): Spin12/Spin(10,2)/kgbord
er
real: block
possible (weak) dual real forms are:
4: so(8,4)
5: so(6,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): Spin12/Spin(10,2)/PSO(8,
4)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(10,2)/PSO(8,
4)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(10,2)/PSO(8,
4)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(10,2)/PSO(8,
4)/kllist
block: blockwrite
File name for block output: Spin12/Spin(10,2)/PSO(8,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(10,2)/PSO(8,4)/mat.bin
File name for polynomial output: Spin12/Spin(10,2)/PSO(8,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
4: so(8,4)
5: so(6,6)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): Spin12/Spin(10,2)/PSO(6,
6)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(10,2)/PSO(6,
6)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(10,2)/PSO(6,
6)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(10,2)/PSO(6,
6)/kllist
block: blockwrite
File name for block output: Spin12/Spin(10,2)/PSO(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(10,2)/PSO(6,6)/mat.bin
File name for polynomial output: Spin12/Spin(10,2)/PSO(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(9,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin12/Spin(9,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin12/Spin(9,3)/KGB
real: kgborder
kgbsize: 170
Name an output file (return for stdout, ? to abandon): Spin12/Spin(9,3)/kgborde
r
real: block
possible (weak) dual real forms are:
1: so(9,3)
2: so(7,5)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin12/Spin(9,3)/PSO(9,3
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(9,3)/PSO(9,3
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(9,3)/PSO(9,3
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(9,3)/PSO(9,3
)/kllist
block: blockwrite
File name for block output: Spin12/Spin(9,3)/PSO(9,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(9,3)/PSO(9,3)/mat.bin
File name for polynomial output: Spin12/Spin(9,3)/PSO(9,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(9,3)
2: so(7,5)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin12/Spin(9,3)/PSO(7,5
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(9,3)/PSO(7,5
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(9,3)/PSO(7,5
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(9,3)/PSO(7,5
)/kllist
block: blockwrite
File name for block output: Spin12/Spin(9,3)/PSO(7,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(9,3)/PSO(7,5)/mat.bin
File name for polynomial output: Spin12/Spin(9,3)/PSO(7,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(8,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): Spin12/Spin(8,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin12/Spin(8,4)/KGB
real: kgborder
kgbsize: 885
Name an output file (return for stdout, ? to abandon): Spin12/Spin(8,4)/kgborde
r
real: block
possible (weak) dual real forms are:
1: so(10,2)
4: so(8,4)
5: so(6,6)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin12/Spin(8,4)/PSO(10,
2)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(8,4)/PSO(10,
2)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(8,4)/PSO(10,
2)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(8,4)/PSO(10,
2)/kllist
block: blockwrite
File name for block output: Spin12/Spin(8,4)/PSO(10,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(8,4)/PSO(10,2)/mat.bin
File name for polynomial output: Spin12/Spin(8,4)/PSO(10,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(10,2)
4: so(8,4)
5: so(6,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): Spin12/Spin(8,4)/PSO(8,4
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(8,4)/PSO(8,4
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(8,4)/PSO(8,4
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(8,4)/PSO(8,4
)/kllist
block: blockwrite
File name for block output: Spin12/Spin(8,4)/PSO(8,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(8,4)/PSO(8,4)/mat.bin
File name for polynomial output: Spin12/Spin(8,4)/PSO(8,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(10,2)
4: so(8,4)
5: so(6,6)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): Spin12/Spin(8,4)/PSO(6,6
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(8,4)/PSO(6,6
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(8,4)/PSO(6,6
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(8,4)/PSO(6,6
)/kllist
block: blockwrite
File name for block output: Spin12/Spin(8,4)/PSO(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(8,4)/PSO(6,6)/mat.bin
File name for polynomial output: Spin12/Spin(8,4)/PSO(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(7,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin12/Spin(7,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin12/Spin(7,5)/KGB
real: kgborder
kgbsize: 966
Name an output file (return for stdout, ? to abandon): Spin12/Spin(7,5)/kgborde
r
real: block
possible (weak) dual real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin12/Spin(7,5)/PSO(11,
1)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(7,5)/PSO(11,
1)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(7,5)/PSO(11,
1)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(7,5)/PSO(11,
1)/kllist
block: blockwrite
File name for block output: Spin12/Spin(7,5)/PSO(11,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(7,5)/PSO(11,1)/mat.bin
File name for polynomial output: Spin12/Spin(7,5)/PSO(11,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin12/Spin(7,5)/PSO(9,3
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(7,5)/PSO(9,3
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(7,5)/PSO(9,3
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(7,5)/PSO(9,3
)/kllist
block: blockwrite
File name for block output: Spin12/Spin(7,5)/PSO(9,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(7,5)/PSO(9,3)/mat.bin
File name for polynomial output: Spin12/Spin(7,5)/PSO(9,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin12/Spin(7,5)/PSO(7,5
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(7,5)/PSO(7,5
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(7,5)/PSO(7,5
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(7,5)/PSO(7,5
)/kllist
block: blockwrite
File name for block output: Spin12/Spin(7,5)/PSO(7,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(7,5)/PSO(7,5)/mat.bin
File name for polynomial output: Spin12/Spin(7,5)/PSO(7,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(6,6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 5
real: cartan
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/KGB
real: kgborder
kgbsize: 2051
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/kgborde
r
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO(12)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO(12)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO(12)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO(12)
/kllist
block: blockwrite
File name for block output: Spin12/Spin(6,6)/PSO(12)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(6,6)/PSO(12)/mat.bin
File name for polynomial output: Spin12/Spin(6,6)/PSO(12)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO(10,
2)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO(10,
2)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO(10,
2)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO(10,
2)/kllist
block: blockwrite
File name for block output: Spin12/Spin(6,6)/PSO(10,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(6,6)/PSO(10,2)/mat.bin
File name for polynomial output: Spin12/Spin(6,6)/PSO(10,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO*(12
)+/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO*(12
)+/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO*(12
)+/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO*(12
)+/kllist
block: blockwrite
File name for block output: Spin12/Spin(6,6)/PSO*(12)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(6,6)/PSO*(12)+/mat.bin
File name for polynomial output: Spin12/Spin(6,6)/PSO*(12)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO*(12
)-/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO*(12
)-/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO*(12
)-/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO*(12
)-/kllist
block: blockwrite
File name for block output: Spin12/Spin(6,6)/PSO*(12)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(6,6)/PSO*(12)-/mat.bin
File name for polynomial output: Spin12/Spin(6,6)/PSO*(12)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO(8,4
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO(8,4
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO(8,4
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO(8,4
)/kllist
block: blockwrite
File name for block output: Spin12/Spin(6,6)/PSO(8,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(6,6)/PSO(8,4)/mat.bin
File name for polynomial output: Spin12/Spin(6,6)/PSO(8,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO(6,6
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO(6,6
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO(6,6
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(6,6)/PSO(6,6
)/kllist
block: blockwrite
File name for block output: Spin12/Spin(6,6)/PSO(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(6,6)/PSO(6,6)/mat.bin
File name for polynomial output: Spin12/Spin(6,6)/PSO(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin*(12)+
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)+/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)+/KGB
real: kgborder
kgbsize: 692
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)+/kgbord
er
real: block
possible (weak) dual real forms are:
3: so*(12)[0,1]
5: so(6,6)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)+/PSO*(1
2)-/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)+/PSO*(1
2)-/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)+/PSO*(1
2)-/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)+/PSO*(1
2)-/kllist
block: blockwrite
File name for block output: Spin12/Spin*(12)+/PSO*(12)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin*(12)+/PSO*(12)-/mat.bin
File name for polynomial output: Spin12/Spin*(12)+/PSO*(12)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
3: so*(12)[0,1]
5: so(6,6)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)+/PSO(6,
6)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)+/PSO(6,
6)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)+/PSO(6,
6)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)+/PSO(6,
6)/kllist
block: blockwrite
File name for block output: Spin12/Spin*(12)+/PSO(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin*(12)+/PSO(6,6)/mat.bin
File name for polynomial output: Spin12/Spin*(12)+/PSO(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin*(12)-
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)-/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)-/KGB
real: kgborder
kgbsize: 692
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)-/kgbord
er
real: block
possible (weak) dual real forms are:
2: so*(12)[1,0]
5: so(6,6)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)-/PSO*(1
2)+/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)-/PSO*(1
2)+/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)-/PSO*(1
2)+/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)-/PSO*(1
2)+/kllist
block: blockwrite
File name for block output: Spin12/Spin*(12)-/PSO*(12)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin*(12)-/PSO*(12)+/mat.bin
File name for polynomial output: Spin12/Spin*(12)-/PSO*(12)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so*(12)[1,0]
5: so(6,6)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)-/PSO(6,
6)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)-/PSO(6,
6)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)-/PSO(6,
6)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin*(12)-/PSO(6,
6)/kllist
block: blockwrite
File name for block output: Spin12/Spin*(12)-/PSO(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin*(12)-/PSO(6,6)/mat.bin
File name for polynomial output: Spin12/Spin*(12)-/PSO(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(12,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6.D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2.Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: so(12,C)
Name an output file (return for stdout, ? to abandon): Spin12/Spin(12,C)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin12/Spin(12,C)/KGB
real: kgborder
kgbsize: 23040
Name an output file (return for stdout, ? to abandon): Spin12/Spin(12,C)/kgbord
er
real: block
there is a unique dual real form choice: so(12,C)
Name an output file (return for stdout, ? to abandon): Spin12/Spin(12,C)/PSO(12
,C)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin12/Spin(12,C)/PSO(12
,C)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin12/Spin(12,C)/PSO(12
,C)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin12/Spin(12,C)/PSO(12
,C)/kllist
block: blockwrite
File name for block output: Spin12/Spin(12,C)/PSO(12,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin12/Spin(12,C)/PSO(12,C)/mat.bin
File name for polynomial output: Spin12/Spin(12,C)/PSO(12,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(13)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B6
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13)
1: so(12,1)
2: so(11,2)
3: so(10,3)
4: so(9,4)
5: so(8,5)
6: so(7,6)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin13/Spin(13)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin13/Spin(13)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Spin13/Spin(13)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sp(12,R)
Name an output file (return for stdout, ? to abandon): Spin13/Spin(13)/PSp(12,R
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin13/Spin(13)/PSp(12,R
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin13/Spin(13)/PSp(12,R
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin13/Spin(13)/PSp(12,R
)/kllist
block: blockwrite
File name for block output: Spin13/Spin(13)/PSp(12,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin13/Spin(13)/PSp(12,R)/mat.bin
File name for polynomial output: Spin13/Spin(13)/PSp(12,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(12,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B6
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13)
1: so(12,1)
2: so(11,2)
3: so(10,3)
4: so(9,4)
5: so(8,5)
6: so(7,6)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin13/Spin(12,1)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin13/Spin(12,1)/KGB
real: kgborder
kgbsize: 8
Name an output file (return for stdout, ? to abandon): Spin13/Spin(12,1)/kgbord
er
real: block
there is a unique dual real form choice: sp(12,R)
Name an output file (return for stdout, ? to abandon): Spin13/Spin(12,1)/PSp(12
,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin13/Spin(12,1)/PSp(12
,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin13/Spin(12,1)/PSp(12
,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin13/Spin(12,1)/PSp(12
,R)/kllist
block: blockwrite
File name for block output: Spin13/Spin(12,1)/PSp(12,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin13/Spin(12,1)/PSp(12,R)/mat.bin
File name for polynomial output: Spin13/Spin(12,1)/PSp(12,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(11,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B6
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13)
1: so(12,1)
2: so(11,2)
3: so(10,3)
4: so(9,4)
5: so(8,5)
6: so(7,6)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin13/Spin(11,2)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin13/Spin(11,2)/KGB
real: kgborder
kgbsize: 93
Name an output file (return for stdout, ? to abandon): Spin13/Spin(11,2)/kgbord
er
real: block
there is a unique dual real form choice: sp(12,R)
Name an output file (return for stdout, ? to abandon): Spin13/Spin(11,2)/PSp(12
,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin13/Spin(11,2)/PSp(12
,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin13/Spin(11,2)/PSp(12
,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin13/Spin(11,2)/PSp(12
,R)/kllist
block: blockwrite
File name for block output: Spin13/Spin(11,2)/PSp(12,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin13/Spin(11,2)/PSp(12,R)/mat.bin
File name for polynomial output: Spin13/Spin(11,2)/PSp(12,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(10,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B6
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13)
1: so(12,1)
2: so(11,2)
3: so(10,3)
4: so(9,4)
5: so(8,5)
6: so(7,6)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): Spin13/Spin(10,3)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin13/Spin(10,3)/KGB
real: kgborder
kgbsize: 257
Name an output file (return for stdout, ? to abandon): Spin13/Spin(10,3)/kgbord
er
real: block
there is a unique dual real form choice: sp(12,R)
Name an output file (return for stdout, ? to abandon): Spin13/Spin(10,3)/PSp(12
,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin13/Spin(10,3)/PSp(12
,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin13/Spin(10,3)/PSp(12
,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin13/Spin(10,3)/PSp(12
,R)/kllist
block: blockwrite
File name for block output: Spin13/Spin(10,3)/PSp(12,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin13/Spin(10,3)/PSp(12,R)/mat.bin
File name for polynomial output: Spin13/Spin(10,3)/PSp(12,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(9,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B6
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13)
1: so(12,1)
2: so(11,2)
3: so(10,3)
4: so(9,4)
5: so(8,5)
6: so(7,6)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): Spin13/Spin(9,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin13/Spin(9,4)/KGB
real: kgborder
kgbsize: 1055
Name an output file (return for stdout, ? to abandon): Spin13/Spin(9,4)/kgborde
r
real: block
there is a unique dual real form choice: sp(12,R)
Name an output file (return for stdout, ? to abandon): Spin13/Spin(9,4)/PSp(12,
R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin13/Spin(9,4)/PSp(12,
R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin13/Spin(9,4)/PSp(12,
R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin13/Spin(9,4)/PSp(12,
R)/kllist
block: blockwrite
File name for block output: Spin13/Spin(9,4)/PSp(12,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin13/Spin(9,4)/PSp(12,R)/mat.bin
File name for polynomial output: Spin13/Spin(9,4)/PSp(12,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(8,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B6
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13)
1: so(12,1)
2: so(11,2)
3: so(10,3)
4: so(9,4)
5: so(8,5)
6: so(7,6)
enter your choice: 5
real: cartan
Name an output file (return for stdout, ? to abandon): Spin13/Spin(8,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin13/Spin(8,5)/KGB
real: kgborder
kgbsize: 1851
Name an output file (return for stdout, ? to abandon): Spin13/Spin(8,5)/kgborde
r
real: block
there is a unique dual real form choice: sp(12,R)
Name an output file (return for stdout, ? to abandon): Spin13/Spin(8,5)/PSp(12,
R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin13/Spin(8,5)/PSp(12,
R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin13/Spin(8,5)/PSp(12,
R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin13/Spin(8,5)/PSp(12,
R)/kllist
block: blockwrite
File name for block output: Spin13/Spin(8,5)/PSp(12,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin13/Spin(8,5)/PSp(12,R)/mat.bin
File name for polynomial output: Spin13/Spin(8,5)/PSp(12,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(7,6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B6
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13)
1: so(12,1)
2: so(11,2)
3: so(10,3)
4: so(9,4)
5: so(8,5)
6: so(7,6)
enter your choice: 6
real: cartan
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/KGB
real: kgborder
kgbsize: 3017
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/kgborde
r
real: block
possible (weak) dual real forms are:
0: sp(6)
1: sp(5,1)
2: sp(4,2)
3: sp(3,3)
4: sp(12,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(6)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(6)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(6)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(6)/
kllist
block: blockwrite
File name for block output: Spin13/Spin(7,6)/PSp(6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin13/Spin(7,6)/PSp(6)/mat.bin
File name for polynomial output: Spin13/Spin(7,6)/PSp(6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(6)
1: sp(5,1)
2: sp(4,2)
3: sp(3,3)
4: sp(12,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(5,1
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(5,1
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(5,1
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(5,1
)/kllist
block: blockwrite
File name for block output: Spin13/Spin(7,6)/PSp(5,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin13/Spin(7,6)/PSp(5,1)/mat.bin
File name for polynomial output: Spin13/Spin(7,6)/PSp(5,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(6)
1: sp(5,1)
2: sp(4,2)
3: sp(3,3)
4: sp(12,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(4,2
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(4,2
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(4,2
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(4,2
)/kllist
block: blockwrite
File name for block output: Spin13/Spin(7,6)/PSp(4,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin13/Spin(7,6)/PSp(4,2)/mat.bin
File name for polynomial output: Spin13/Spin(7,6)/PSp(4,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(6)
1: sp(5,1)
2: sp(4,2)
3: sp(3,3)
4: sp(12,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(3,3
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(3,3
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(3,3
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(3,3
)/kllist
block: blockwrite
File name for block output: Spin13/Spin(7,6)/PSp(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin13/Spin(7,6)/PSp(3,3)/mat.bin
File name for polynomial output: Spin13/Spin(7,6)/PSp(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(6)
1: sp(5,1)
2: sp(4,2)
3: sp(3,3)
4: sp(12,R)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(12,
R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(12,
R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(12,
R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin13/Spin(7,6)/PSp(12,
R)/kllist
block: blockwrite
File name for block output: Spin13/Spin(7,6)/PSp(12,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin13/Spin(7,6)/PSp(12,R)/mat.bin
File name for polynomial output: Spin13/Spin(7,6)/PSp(12,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(13,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B6.B6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: so(13,C)
Name an output file (return for stdout, ? to abandon): Spin13/Spin(13,C)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin13/Spin(13,C)/KGB
real: kgborder
kgbsize: 46080
Name an output file (return for stdout, ? to abandon): Spin13/Spin(13,C)/kgbord
er
real: block
there is a unique dual real form choice: sp(12,C)
Name an output file (return for stdout, ? to abandon): Spin13/Spin(13,C)/PSp(12
,C)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin13/Spin(13,C)/PSp(12
,C)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin13/Spin(13,C)/PSp(12
,C)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin13/Spin(13,C)/PSp(12
,C)/kllist
block: blockwrite
File name for block output: Spin13/Spin(13,C)/PSp(12,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin13/Spin(13,C)/PSp(12,C)/mat.bin
File name for polynomial output: Spin13/Spin(13,C)/PSp(12,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(14)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin14/Spin(14)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin14/Spin(14)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Spin14/Spin(14)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: so(7,7)
Name an output file (return for stdout, ? to abandon): Spin14/Spin(14)/PSO(7,7)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(14)/PSO(7,7)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(14)/PSO(7,7)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(14)/PSO(7,7)
/kllist
block: blockwrite
File name for block output: Spin14/Spin(14)/PSO(7,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(14)/PSO(7,7)/mat.bin
File name for polynomial output: Spin14/Spin(14)/PSO(7,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(13,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin14/Spin(13,1)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin14/Spin(13,1)/KGB
real: kgborder
kgbsize: 7
Name an output file (return for stdout, ? to abandon): Spin14/Spin(13,1)/kgbord
er
real: block
there is a unique dual real form choice: so(8,6)
Name an output file (return for stdout, ? to abandon): Spin14/Spin(13,1)/PSO(8,
6)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(13,1)/PSO(8,
6)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(13,1)/PSO(8,
6)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(13,1)/PSO(8,
6)/kllist
block: blockwrite
File name for block output: Spin14/Spin(13,1)/PSO(8,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(13,1)/PSO(8,6)/mat.bin
File name for polynomial output: Spin14/Spin(13,1)/PSO(8,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(12,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin14/Spin(12,2)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin14/Spin(12,2)/KGB
real: kgborder
kgbsize: 119
Name an output file (return for stdout, ? to abandon): Spin14/Spin(12,2)/kgbord
er
real: block
possible (weak) dual real forms are:
2: so(9,5)
3: so(7,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin14/Spin(12,2)/PSO(9,
5)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(12,2)/PSO(9,
5)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(12,2)/PSO(9,
5)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(12,2)/PSO(9,
5)/kllist
block: blockwrite
File name for block output: Spin14/Spin(12,2)/PSO(9,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(12,2)/PSO(9,5)/mat.bin
File name for polynomial output: Spin14/Spin(12,2)/PSO(9,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so(9,5)
3: so(7,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin14/Spin(12,2)/PSO(7,
7)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(12,2)/PSO(7,
7)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(12,2)/PSO(7,
7)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(12,2)/PSO(7,
7)/kllist
block: blockwrite
File name for block output: Spin14/Spin(12,2)/PSO(7,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(12,2)/PSO(7,7)/mat.bin
File name for polynomial output: Spin14/Spin(12,2)/PSO(7,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(11,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin14/Spin(11,3)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin14/Spin(11,3)/KGB
real: kgborder
kgbsize: 287
Name an output file (return for stdout, ? to abandon): Spin14/Spin(11,3)/kgbord
er
real: block
possible (weak) dual real forms are:
3: so(10,4)
4: so(8,6)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin14/Spin(11,3)/PSO(10
,4)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(11,3)/PSO(10
,4)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(11,3)/PSO(10
,4)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(11,3)/PSO(10
,4)/kllist
block: blockwrite
File name for block output: Spin14/Spin(11,3)/PSO(10,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(11,3)/PSO(10,4)/mat.bin
File name for polynomial output: Spin14/Spin(11,3)/PSO(10,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
3: so(10,4)
4: so(8,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): Spin14/Spin(11,3)/PSO(8,
6)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(11,3)/PSO(8,
6)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(11,3)/PSO(8,
6)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(11,3)/PSO(8,
6)/kllist
block: blockwrite
File name for block output: Spin14/Spin(11,3)/PSO(8,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(11,3)/PSO(8,6)/mat.bin
File name for polynomial output: Spin14/Spin(11,3)/PSO(8,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(10,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): Spin14/Spin(10,4)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin14/Spin(10,4)/KGB
real: kgborder
kgbsize: 1862
Name an output file (return for stdout, ? to abandon): Spin14/Spin(10,4)/kgbord
er
real: block
possible (weak) dual real forms are:
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin14/Spin(10,4)/PSO(11
,3)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(10,4)/PSO(11
,3)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(10,4)/PSO(11
,3)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(10,4)/PSO(11
,3)/kllist
block: blockwrite
File name for block output: Spin14/Spin(10,4)/PSO(11,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(10,4)/PSO(11,3)/mat.bin
File name for polynomial output: Spin14/Spin(10,4)/PSO(11,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin14/Spin(10,4)/PSO(9,
5)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(10,4)/PSO(9,
5)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(10,4)/PSO(9,
5)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(10,4)/PSO(9,
5)/kllist
block: blockwrite
File name for block output: Spin14/Spin(10,4)/PSO(9,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(10,4)/PSO(9,5)/mat.bin
File name for polynomial output: Spin14/Spin(10,4)/PSO(9,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin14/Spin(10,4)/PSO(7,
7)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(10,4)/PSO(7,
7)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(10,4)/PSO(7,
7)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(10,4)/PSO(7,
7)/kllist
block: blockwrite
File name for block output: Spin14/Spin(10,4)/PSO(7,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(10,4)/PSO(7,7)/mat.bin
File name for polynomial output: Spin14/Spin(10,4)/PSO(7,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(9,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin14/Spin(9,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin14/Spin(9,5)/KGB
real: kgborder
kgbsize: 2786
Name an output file (return for stdout, ? to abandon): Spin14/Spin(9,5)/kgborde
r
real: block
possible (weak) dual real forms are:
1: so(12,2)
3: so(10,4)
4: so(8,6)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin14/Spin(9,5)/PSO(12,
2)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(9,5)/PSO(12,
2)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(9,5)/PSO(12,
2)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(9,5)/PSO(12,
2)/kllist
block: blockwrite
File name for block output: Spin14/Spin(9,5)/PSO(12,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(9,5)/PSO(12,2)/mat.bin
File name for polynomial output: Spin14/Spin(9,5)/PSO(12,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(12,2)
3: so(10,4)
4: so(8,6)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin14/Spin(9,5)/PSO(10,
4)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(9,5)/PSO(10,
4)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(9,5)/PSO(10,
4)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(9,5)/PSO(10,
4)/kllist
block: blockwrite
File name for block output: Spin14/Spin(9,5)/PSO(10,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(9,5)/PSO(10,4)/mat.bin
File name for polynomial output: Spin14/Spin(9,5)/PSO(10,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(12,2)
3: so(10,4)
4: so(8,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): Spin14/Spin(9,5)/PSO(8,6
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(9,5)/PSO(8,6
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(9,5)/PSO(8,6
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(9,5)/PSO(8,6
)/kllist
block: blockwrite
File name for block output: Spin14/Spin(9,5)/PSO(8,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(9,5)/PSO(8,6)/mat.bin
File name for polynomial output: Spin14/Spin(9,5)/PSO(8,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(8,6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main:
main: realform
(weak) real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/KGB
real: kgborder
kgbsize: 8162
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/kgborde
r
real: block
possible (weak) dual real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/PSO(13,
1)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/PSO(13,
1)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/PSO(13,
1)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/PSO(13,
1)/kllist
block: blockwrite
File name for block output: Spin14/Spin(8,6)/PSO(13,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(8,6)/PSO(13,1)/mat.bin
File name for polynomial output: Spin14/Spin(8,6)/PSO(13,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/PSO(11,
3)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/PSO(11,
3)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/PSO(11,
3)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/PSO(11,
3)/kllist
block: blockwrite
File name for block output: Spin14/Spin(8,6)/PSO(11,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(8,6)/PSO(11,3)/mat.bin
File name for polynomial output: Spin14/Spin(8,6)/PSO(11,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/PSO(9,5
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/PSO(9,5
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/PSO(9,5
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/PSO(9,5
)/kllist
block: blockwrite
File name for block output: Spin14/Spin(8,6)/PSO(9,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(8,6)/PSO(9,5)/mat.bin
File name for polynomial output: Spin14/Spin(8,6)/PSO(9,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/PSO(7,7
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/PSO(7,7
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/PSO(7,7
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(8,6)/PSO(7,7
)/kllist
block: blockwrite
File name for block output: Spin14/Spin(8,6)/PSO(7,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(8,6)/PSO(7,7)/mat.bin
File name for polynomial output: Spin14/Spin(8,6)/PSO(7,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(7,7)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/KGB
real: kgborder
kgbsize: 6315
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/kgborde
r
real: block
possible (weak) dual real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/PSO(14)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/PSO(14)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/PSO(14)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/PSO(14)
/kllist
block: blockwrite
File name for block output: Spin14/Spin(7,7)/PSO(14)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(7,7)/PSO(14)/mat.bin
File name for polynomial output: Spin14/Spin(7,7)/PSO(14)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/PSO(12,
2)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/PSO(12,
2)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/PSO(12,
2)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/PSO(12,
2)/kllist
block: blockwrite
File name for block output: Spin14/Spin(7,7)/PSO(12,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(7,7)/PSO(12,2)/mat.bin
File name for polynomial output: Spin14/Spin(7,7)/PSO(12,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/PSO*(14
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/PSO*(14
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/PSO*(14
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/PSO*(14
)/kllist
block: blockwrite
File name for block output: Spin14/Spin(7,7)/PSO*(14)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(7,7)/PSO*(14)/mat.bin
File name for polynomial output: Spin14/Spin(7,7)/PSO*(14)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/SO(10,4
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/SO(10,4
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/SO(10,4
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/SO(10,4
)/kllist
block: blockwrite
File name for block output: Spin14/Spin(7,7)/SO(10,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(7,7)/SO(10,4)/mat.bin
File name for polynomial output: Spin14/Spin(7,7)/SO(10,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/PSO(8,6
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/PSO(8,6
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/PSO(8,6
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(7,7)/PSO(8,6
)/kllist
block: blockwrite
File name for block output: Spin14/Spin(7,7)/PSO(8,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(7,7)/PSO(8,6)/mat.bin
File name for polynomial output: Spin14/Spin(7,7)/PSO(8,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin*(14)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin14/Spin*(14)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin14/Spin*(14)/KGB
real: kgborder
kgbsize: 3256
Name an output file (return for stdout, ? to abandon): Spin14/Spin*(14)/kgborde
r
real: block
there is a unique dual real form choice: so(7,7)
Name an output file (return for stdout, ? to abandon): Spin14/Spin*(14)/PSO(7,7
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin*(14)/PSO(7,7
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin*(14)/PSO(7,7
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin*(14)/PSO(7,7
)/kllist
block: blockwrite
File name for block output: Spin14/Spin*(14)/PSO(7,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin*(14)/PSO(7,7)/mat.bin
File name for polynomial output: Spin14/Spin*(14)/PSO(7,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(14,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7.D7
elements of finite order in the center of the simply connected group:
Z/4.Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: so(14,C)
Name an output file (return for stdout, ? to abandon): Spin14/Spin(14,C)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin14/Spin(14,C)/KGB
real: block
there is a unique dual real form choice: so(14,C)
Name an output file (return for stdout, ? to abandon): Spin14/Spin(14,C)/PSO(14
,C)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin14/Spin(14,C)/PSO(14
,C)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin14/Spin(14,C)/PSO(14
,C)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin14/Spin(14,C)/PSO(14
,C)/kllist
block: blockwrite
File name for block output: Spin14/Spin(14,C)/PSO(14,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin14/Spin(14,C)/PSO(14,C)/mat.bin
File name for polynomial output: Spin14/Spin(14,C)/PSO(14,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(15)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(15)
1: so(14,1)
2: so(13,2)
3: so(12,3)
4: so(11,4)
5: so(10,5)
6: so(9,6)
7: so(8,7)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin15/Spin(15)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin15/Spin(15)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Spin15/Spin(15)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sp(14,R)
Name an output file (return for stdout, ? to abandon): Spin15/Spin(15)/PSp(14,R
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin15/Spin(15)/PSp(14,R
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin15/Spin(15)/PSp(14,R
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin15/Spin(15)/PSp(14,R
)/kllist
block: blockwrite
File name for block output: Spin15/Spin(15)/PSp(14,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin15/Spin(15)/PSp(14,R)/mat.bin
File name for polynomial output: Spin15/Spin(15)/PSp(14,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(14,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(15)
1: so(14,1)
2: so(13,2)
3: so(12,3)
4: so(11,4)
5: so(10,5)
6: so(9,6)
7: so(8,7)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin15/Spin(14,1)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin15/Spin(14,1)/KGB
real: kgborder
kgbsize: 9
Name an output file (return for stdout, ? to abandon): Spin15/Spin(14,1)/kgbord
er
real: block
there is a unique dual real form choice: sp(14,R)
Name an output file (return for stdout, ? to abandon): Spin15/Spin(14,1)/PSp(14
,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin15/Spin(14,1)/PSp(14
,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin15/Spin(14,1)/PSp(14
,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin15/Spin(14,1)/PSp(14
,R)/kllist
block: blockwrite
File name for block output: Spin15/Spin(14,1)/PSp(14,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin15/Spin(14,1)/PSp(14,R)/mat.bin
File name for polynomial output: Spin15/Spin(14,1)/PSp(14,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(13,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(15)
1: so(14,1)
2: so(13,2)
3: so(12,3)
4: so(11,4)
5: so(10,5)
6: so(9,6)
7: so(8,7)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin15/Spin(13,2)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin15/Spin(13,2)/KGB
real: kgborder
kgbsize: 126
Name an output file (return for stdout, ? to abandon): Spin15/Spin(13,2)/kgbord
er
real: block
there is a unique dual real form choice: sp(14,R)
Name an output file (return for stdout, ? to abandon): Spin15/Spin(13,2)/PSp(14
,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin15/Spin(13,2)/PSp(14
,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin15/Spin(13,2)/PSp(14
,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin15/Spin(13,2)/PSp(14
,R)/kllist
block: blockwrite
File name for block output: Spin15/Spin(13,2)/PSp(14,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin15/Spin(13,2)/PSp(14,R)/mat.bin
File name for polynomial output: Spin15/Spin(13,2)/PSp(14,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(12,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(15)
1: so(14,1)
2: so(13,2)
3: so(12,3)
4: so(11,4)
5: so(10,5)
6: so(9,6)
7: so(8,7)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): Spin15/Spin(12,3)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin15/Spin(12,3)/KGB
real: kgborder
kgbsize: 406
Name an output file (return for stdout, ? to abandon): Spin15/Spin(12,3)/kgbord
er
real: block
there is a unique dual real form choice: sp(14,R)
Name an output file (return for stdout, ? to abandon): Spin15/Spin(12,3)/PSp(14
,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin15/Spin(12,3)/PSp(14
,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin15/Spin(12,3)/PSp(14
,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin15/Spin(12,3)/PSp(14
,R)/kllist
block: blockwrite
File name for block output: Spin15/Spin(12,3)/PSp(14,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin15/Spin(12,3)/PSp(14,R)/mat.bin
File name for polynomial output: Spin15/Spin(12,3)/PSp(14,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(11,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(15)
1: so(14,1)
2: so(13,2)
3: so(12,3)
4: so(11,4)
5: so(10,5)
6: so(9,6)
7: so(8,7)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): Spin15/Spin(11,4)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin15/Spin(11,4)/KGB
real: kgborder
kgbsize: 2149
Name an output file (return for stdout, ? to abandon): Spin15/Spin(11,4)/kgbord
er
real: block
there is a unique dual real form choice: sp(14,R)
Name an output file (return for stdout, ? to abandon): Spin15/Spin(11,4)/PSp(14
,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin15/Spin(11,4)/PSp(14
,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin15/Spin(11,4)/PSp(14
,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin15/Spin(11,4)/PSp(14
,R)/kllist
block: blockwrite
File name for block output: Spin15/Spin(11,4)/PSp(14,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin15/Spin(11,4)/PSp(14,R)/mat.bin
File name for polynomial output: Spin15/Spin(11,4)/PSp(14,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(10,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(15)
1: so(14,1)
2: so(13,2)
3: so(12,3)
4: so(11,4)
5: so(10,5)
6: so(9,6)
7: so(8,7)
enter your choice: 5
real: cartan
Name an output file (return for stdout, ? to abandon): Spin15/Spin(10,5)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin15/Spin(10,5)/KGB
real: kgborder
kgbsize: 4648
Name an output file (return for stdout, ? to abandon): Spin15/Spin(10,5)/kgbord
er
real: block
there is a unique dual real form choice: sp(14,R)
Name an output file (return for stdout, ? to abandon): Spin15/Spin(10,5)/PSp(14
,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin15/Spin(10,5)/PSp(14
,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin15/Spin(10,5)/PSp(14
,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin15/Spin(10,5)/PSp(14
,R)/kllist
block: blockwrite
File name for block output: Spin15/Spin(10,5)/PSp(14,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin15/Spin(10,5)/PSp(14,R)/mat.bin
File name for polynomial output: Spin15/Spin(10,5)/PSp(14,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(9,6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(15)
1: so(14,1)
2: so(13,2)
3: so(12,3)
4: so(11,4)
5: so(10,5)
6: so(9,6)
7: so(8,7)
enter your choice: 6
real: cartan
Name an output file (return for stdout, ? to abandon): Spin15/Spin(9,6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin15/Spin(9,6)/KGB
real: kgborder
kgbsize: 10948
Name an output file (return for stdout, ? to abandon): Spin15/Spin(9,6)/kgborde
r
real: block
there is a unique dual real form choice: sp(14,R)
Name an output file (return for stdout, ? to abandon): Spin15/Spin(9,6)/PSp(14,
R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin15/Spin(9,6)/PSp(14,
R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin15/Spin(9,6)/PSp(14,
R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin15/Spin(9,6)/PSp(14,
R)/kllist
block: blockwrite
File name for block output: Spin15/Spin(9,6)/PSp(14,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin15/Spin(9,6)/PSp(14,R)/mat.bin
File name for polynomial output: Spin15/Spin(9,6)/PSp(14,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(8,7)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(15)
1: so(14,1)
2: so(13,2)
3: so(12,3)
4: so(11,4)
5: so(10,5)
6: so(9,6)
7: so(8,7)
enter your choice: 7
real: cartan
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/KGB
real: kgborder
kgbsize: 14477
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/kgborde
r
real: block
possible (weak) dual real forms are:
0: sp(7)
1: sp(6,1)
2: sp(5,2)
3: sp(4,3)
4: sp(14,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(7)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(7)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(7)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(7)/
kllist
block: blockwrite
File name for block output: Spin15/Spin(8,7)/PSp(7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin15/Spin(8,7)/PSp(7)/mat.bin
File name for polynomial output: Spin15/Spin(8,7)/PSp(7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(7)
1: sp(6,1)
2: sp(5,2)
3: sp(4,3)
4: sp(14,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(6,1
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(6,1
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(6,1
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(6,1
)/kllist
block: blockwrite
File name for block output: Spin15/Spin(8,7)/PSp(6,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin15/Spin(8,7)/PSp(6,1)/mat.bin
File name for polynomial output: Spin15/Spin(8,7)/PSp(6,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(7)
1: sp(6,1)
2: sp(5,2)
3: sp(4,3)
4: sp(14,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(5,2
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(5,2
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(5,2
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(5,2
)/kllist
block: blockwrite
File name for block output: Spin15/Spin(8,7)/PSp(5,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin15/Spin(8,7)/PSp(5,2)/mat.bin
File name for polynomial output: Spin15/Spin(8,7)/PSp(5,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(7)
1: sp(6,1)
2: sp(5,2)
3: sp(4,3)
4: sp(14,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(4,3
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(4,3
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(4,3
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(4,3
)/kllist
block: blockwrite
File name for block output: Spin15/Spin(8,7)/PSp(4,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin15/Spin(8,7)/PSp(4,3)/mat.bin
File name for polynomial output: Spin15/Spin(8,7)/PSp(4,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(7)
1: sp(6,1)
2: sp(5,2)
3: sp(4,3)
4: sp(14,R)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(14,
R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(14,
R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(14,
R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin15/Spin(8,7)/PSp(14,
R)/kllist
block: blockwrite
File name for block output: Spin15/Spin(8,7)/PSp(14,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin15/Spin(8,7)/PSp(14,R)/mat.bin
File name for polynomial output: Spin15/Spin(8,7)/PSp(14,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(15,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B7.B7
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: so(15,C)
Name an output file (return for stdout, ? to abandon): Spin15/Spin(15,C)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin15/Spin(15,C)/KGB
real: ?
?: not found
real: qq
Spin(16)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin16/Spin(16)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin16/Spin(16)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Spin16/Spin(16)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: so(8,8)
Name an output file (return for stdout, ? to abandon): Spin16/Spin(16)/PSO(8,8)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(16)/PSO(8,8)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(16)/PSO(8,8)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(16)/PSO(8,8)
/kllist
block: blockwrite
File name for block output: Spin16/Spin(16)/PSO(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(16)/PSO(8,8)/mat.bin
File name for polynomial output: Spin16/Spin(16)/PSO(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(15,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin16/Spin(15,1)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin16/Spin(15,1)/KGB
real: kgborder
kgbsize: 8
Name an output file (return for stdout, ? to abandon): Spin16/Spin(15,1)/kgbord
er
real: block
there is a unique dual real form choice: so(9,7)
Name an output file (return for stdout, ? to abandon): Spin16/Spin(15,1)/PSO(9,
7)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(15,1)/PSO(9,
7)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(15,1)/PSO(9,
7)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(15,1)/PSO(9,
7)/kllist
block: blockwrite
File name for block output: Spin16/Spin(15,1)/PSO(9,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(15,1)/PSO(9,7)/mat.bin
File name for polynomial output: Spin16/Spin(15,1)/PSO(9,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(14,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin16/Spin(14,2)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin16/Spin(14,2)/KGB
real: kgborder
kgbsize: 156
Name an output file (return for stdout, ? to abandon): Spin16/Spin(14,2)/kgbord
er
real: block
possible (weak) dual real forms are:
5: so(10,6)
6: so(8,8)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): Spin16/Spin(14,2)/PSO(10
,6)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(14,2)/PSO(10
,6)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(14,2)/PSO(10
,6)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(14,2)/PSO(10
,6)/kllist
block: blockwrite
File name for block output: Spin16/Spin(14,2)/PSO(10,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(14,2)/PSO(10,6)/mat.bin
File name for polynomial output: Spin16/Spin(14,2)/PSO(10,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
5: so(10,6)
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): Spin16/Spin(14,2)/PSO(8,
8)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(14,2)/PSO(8,
8)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(14,2)/PSO(8,
8)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(14,2)/PSO(8,
8)/kllist
block: blockwrite
File name for block output: Spin16/Spin(14,2)/PSO(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(14,2)/PSO(8,8)/mat.bin
File name for polynomial output: Spin16/Spin(14,2)/PSO(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(13,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin16/Spin(13,3)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin16/Spin(13,3)/KGB
real: kgborder
kgbsize: 448
Name an output file (return for stdout, ? to abandon): Spin16/Spin(13,3)/kgbord
er
real: block
possible (weak) dual real forms are:
2: so(11,5)
3: so(9,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin16/Spin(13,3)/PSO(11
,5)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(13,3)/PSO(11
,5)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(13,3)/PSO(11
,5)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(13,3)/PSO(11
,5)/kllist
block: blockwrite
File name for block output: Spin16/Spin(13,3)/PSO(11,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(13,3)/PSO(11,5)/mat.bin
File name for polynomial output: Spin16/Spin(13,3)/PSO(11,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so(11,5)
3: so(9,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin16/Spin(13,3)/PSO(9,
7)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(13,3)/PSO(9,
7)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(13,3)/PSO(9,
7)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(13,3)/PSO(9,
7)/kllist
block: blockwrite
File name for block output: Spin16/Spin(13,3)/PSO(9,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(13,3)/PSO(9,7)/mat.bin
File name for polynomial output: Spin16/Spin(13,3)/PSO(9,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(12,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin16/Spin(12,4)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin16/Spin(12,4)/KGB
real: kgborder
kgbsize: 3486
Name an output file (return for stdout, ? to abandon): Spin16/Spin(12,4)/kgbord
er
real: block
possible (weak) dual real forms are:
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin16/Spin(12,4)/PSO(12
,4)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(12,4)/PSO(12
,4)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(12,4)/PSO(12
,4)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(12,4)/PSO(12
,4)/kllist
block: blockwrite
File name for block output: Spin16/Spin(12,4)/PSO(12,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(12,4)/PSO(12,4)/mat.bin
File name for polynomial output: Spin16/Spin(12,4)/PSO(12,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): Spin16/Spin(12,4)/PSO(10
,6)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(12,4)/PSO(10
,6)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(12,4)/PSO(10
,6)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(12,4)/PSO(10
,6)/kllist
block: blockwrite
File name for block output: Spin16/Spin(12,4)/PSO(10,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(12,4)/PSO(10,6)/mat.bin
File name for polynomial output: Spin16/Spin(12,4)/PSO(10,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): Spin16/Spin(12,4)/PSO(8,
8)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(12,4)/PSO(8,
8)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(12,4)/PSO(8,
8)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(12,4)/PSO(8,
8)/kllist
block: blockwrite
File name for block output: Spin16/Spin(12,4)/PSO(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(12,4)/PSO(8,8)/mat.bin
File name for polynomial output: Spin16/Spin(12,4)/PSO(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(11,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin16/Spin(11,5)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin16/Spin(11,5)/KGB
real: kgborder
kgbsize: 6664
Name an output file (return for stdout, ? to abandon): Spin16/Spin(11,5)/kgbord
er
real: block
possible (weak) dual real forms are:
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin16/Spin(11,5)/PSO(13
,3)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(11,5)/PSO(13
,3)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(11,5)/PSO(13
,3)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(11,5)/PSO(13
,3)/kllist
block: blockwrite
File name for block output: Spin16/Spin(11,5)/PSO(13,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(11,5)/PSO(13,3)/mat.bin
File name for polynomial output: Spin16/Spin(11,5)/PSO(13,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin16/Spin(11,5)/PSO(11
,5)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(11,5)/PSO(11
,5)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(11,5)/PSO(11
,5)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(11,5)/PSO(11
,5)/kllist
block: blockwrite
File name for block output: Spin16/Spin(11,5)/PSO(11,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(11,5)/PSO(11,5)/mat.bin
File name for polynomial output: Spin16/Spin(11,5)/PSO(11,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin16/Spin(11,5)/PSO(9,
7)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(11,5)/PSO(9,
7)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(11,5)/PSO(9,
7)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(11,5)/PSO(9,
7)/kllist
block: blockwrite
File name for block output: Spin16/Spin(11,5)/PSO(9,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(11,5)/PSO(9,7)/mat.bin
File name for polynomial output: Spin16/Spin(11,5)/PSO(9,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(10,6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 5
real: cartan
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/KGB
real: kgborder
kgbsize: 25200
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/kgbord
er
real: block
possible (weak) dual real forms are:
1: so(14,2)
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/PSO(14
,2)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/PSO(14
,2)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/PSO(14
,2)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/PSO(14
,2)/kllist
block: blockwrite
File name for block output: Spin16/Spin(10,6)/PSO(14,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(10,6)/PSO(14,2)/mat.bin
File name for polynomial output: Spin16/Spin(10,6)/PSO(14,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(14,2)
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/PSO(12
,4)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/PSO(12
,4)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/PSO(12
,4)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/PSO(12
,4)/kllist
block: blockwrite
File name for block output: Spin16/Spin(10,6)/PSO(12,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(10,6)/PSO(12,4)/mat.bin
File name for polynomial output: Spin16/Spin(10,6)/PSO(12,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(14,2)
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/PSO(10
,6)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/PSO(10
,6)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/PSO(10
,6)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/PSO(10
,6)/kllist
block: blockwrite
File name for block output: Spin16/Spin(10,6)/PSO(10,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(10,6)/PSO(10,6)/mat.bin
File name for polynomial output: Spin16/Spin(10,6)/PSO(10,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(14,2)
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/PSO(8,
8)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/PSO(8,
8)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/PSO(8,
8)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(10,6)/PSO(8,
8)/kllist
block: blockwrite
File name for block output: Spin16/Spin(10,6)/PSO(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(10,6)/PSO(8,8)/mat.bin
File name for polynomial output: Spin16/Spin(10,6)/PSO(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(9,7)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/KGB
real: kgborder
kgbsize: 28232
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/kgborde
r
real: block
possible (weak) dual real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/PSO(15,
1)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/PSO(15,
1)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/PSO(15,
1)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/PSO(15,
1)/kllist
block: blockwrite
File name for block output: Spin16/Spin(9,7)/PSO(15,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(9,7)/PSO(15,1)/mat.bin
File name for polynomial output: Spin16/Spin(9,7)/PSO(15,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/PSO(13,
3)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/PSO(13,
3)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/PSO(13,
3)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/PSO(13,
3)/kllist
block: blockwrite
File name for block output: Spin16/Spin(9,7)/PSO(13,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(9,7)/PSO(13,3)/mat.bin
File name for polynomial output: Spin16/Spin(9,7)/PSO(13,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/PSO(11,
5)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/PSO(11,
5)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/PSO(11,
5)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/PSO(11,
5)/kllist
block: blockwrite
File name for block output: Spin16/Spin(9,7)/PSO(11,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(9,7)/PSO(11,5)/mat.bin
File name for polynomial output: Spin16/Spin(9,7)/PSO(11,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/PSO(9,7
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/PSO(9,7
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/PSO(9,7
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(9,7)/PSO(9,7
)/kllist
block: blockwrite
File name for block output: Spin16/Spin(9,7)/PSO(9,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(9,7)/PSO(9,7)/mat.bin
File name for polynomial output: Spin16/Spin(9,7)/PSO(9,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(8,8)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 6
real: cartan
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/KGB
real: kgborder
kgbsize: 51353
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/kgborde
r
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(16)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(16)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(16)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(16)
/kllist
block: blockwrite
File name for block output: Spin16/Spin(8,8)/PSO(16)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(8,8)/PSO(16)/mat.bin
File name for polynomial output: Spin16/Spin(8,8)/PSO(16)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(14,
2)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(14,
2)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(14,
2)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(14,
2)/kllist
block: blockwrite
File name for block output: Spin16/Spin(8,8)/PSO(14,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(8,8)/PSO(14,2)/mat.bin
File name for polynomial output: Spin16/Spin(8,8)/PSO(14,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(12,
4)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(12,
4)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(12,
4)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(12,
4)/kllist
block: blockwrite
File name for block output: Spin16/Spin(8,8)/PSO(12,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(8,8)/PSO(12,4)/mat.bin
File name for polynomial output: Spin16/Spin(8,8)/PSO(12,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO*(16
)+/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO*(16
)+/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO*(16
)+/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO*(16
)+/kllist
block: blockwrite
File name for block output: Spin16/Spin(8,8)/PSO*(16)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(8,8)/PSO*(16)+/mat.bin
File name for polynomial output: Spin16/Spin(8,8)/PSO*(16)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO*(16
)-/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO*(16
)-/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO*(16
)-/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO*(16
)-/kllist
block: blockwrite
File name for block output: Spin16/Spin(8,8)/PSO*(16)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(8,8)/PSO*(16)-/mat.bin
File name for polynomial output: Spin16/Spin(8,8)/PSO*(16)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(10,
6)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(10,
6)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(10,
6)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(10,
6)/kllist
block: blockwrite
File name for block output: Spin16/Spin(8,8)/PSO(10,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(8,8)/PSO(10,6)/mat.bin
File name for polynomial output: Spin16/Spin(8,8)/PSO(10,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(8,8
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(8,8
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(8,8
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin(8,8)/PSO(8,8
)/kllist
block: blockwrite
File name for block output: Spin16/Spin(8,8)/PSO(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin(8,8)/PSO(8,8)/mat.bin
File name for polynomial output: Spin16/Spin(8,8)/PSO(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin*(16)+
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)+/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)+/KGB
real: kgborder
kgbsize: 16200
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)+/kgbord
er
real: block
possible (weak) dual real forms are:
3: so*(16)[0,1]
6: so(8,8)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)+/PSO*(1
6)+/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)+/PSO*(1
6)+/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)+/PSO*(1
6)+/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)+/PSO*(1
6)+/kllist
block: blockwrite
File name for block output: Spin16/Spin*(16)+/PSO*(16)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin*(16)+/PSO*(16)+/mat.bin
File name for polynomial output: Spin16/Spin*(16)+/PSO*(16)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
3: so*(16)[0,1]
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)+/PSO(8,
8)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)+/PSO(8,
8)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)+/PSO(8,
8)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)+/PSO(8,
8)/kllist
block: blockwrite
File name for block output: Spin16/Spin*(16)+/PSO(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin*(16)+/PSO(8,8)/mat.bin
File name for polynomial output: Spin16/Spin*(16)+/PSO(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin*(16)-
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)-/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)-/KGB
real: kgborder
kgbsize: 16200
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)-/kgbord
er
real: block
possible (weak) dual real forms are:
4: so*(16)[1,0]
6: so(8,8)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)-/PSO*(1
6)-/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)-/PSO*(1
6)-/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)-/PSO*(1
6)-/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)-/PSO*(1
6)-/kllist
block: blockwrite
File name for block output: Spin16/Spin*(16)-/PSO*(16)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin*(16)-/PSO*(16)-/mat.bin
File name for polynomial output: Spin16/Spin*(16)-/PSO*(16)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
4: so*(16)[1,0]
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)-/PSO(8,
8)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)-/PSO(8,
8)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)-/PSO(8,
8)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin16/Spin*(16)-/PSO(8,
8)/kllist
block: blockwrite
File name for block output: Spin16/Spin*(16)-/PSO(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin16/Spin*(16)-/PSO(8,8)/mat.bin
File name for polynomial output: Spin16/Spin*(16)-/PSO(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(16,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8.D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2.Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: so(16,C)
Name an output file (return for stdout, ? to abandon): Spin16/Spin(16,C)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin16/Spin(16,C)/KGB
real: ?
?: not found
real: qq
Spin(17)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Spin17/Spin(17)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin17/Spin(17)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Spin17/Spin(17)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: sp(16,R)
Name an output file (return for stdout, ? to abandon): Spin17/Spin(17)/PSp(16,R
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin17/Spin(17)/PSp(16,R
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin17/Spin(17)/PSp(16,R
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin17/Spin(17)/PSp(16,R
)/kllist
block: blockwrite
File name for block output: Spin17/Spin(17)/PSp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin17/Spin(17)/PSp(16,R)/mat.bin
File name for polynomial output: Spin17/Spin(17)/PSp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(16,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Spin17/Spin(16,1)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin17/Spin(16,1)/KGB
real: kgborder
kgbsize: 10
Name an output file (return for stdout, ? to abandon): Spin17/Spin(16,1)/kgbord
er
real: block
there is a unique dual real form choice: sp(16,R)
Name an output file (return for stdout, ? to abandon): Spin17/Spin(16,1)/PSp(16
,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin17/Spin(16,1)/PSp(16
,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin17/Spin(16,1)/PSp(16
,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin17/Spin(16,1)/PSp(16
,R)/kllist
block: blockwrite
File name for block output: Spin17/Spin(16,1)/PSp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin17/Spin(16,1)/PSp(16,R)/mat.bin
File name for polynomial output: Spin17/Spin(16,1)/PSp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(15,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Spin17/Spin(15,2)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin17/Spin(15,2)/KGB
real: kgborder
kgbsize: 164
Name an output file (return for stdout, ? to abandon): Spin17/Spin(15,2)/kgbord
er
real: block
there is a unique dual real form choice: sp(16,R)
Name an output file (return for stdout, ? to abandon): Spin17/Spin(15,2)/PSp(16
,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin17/Spin(15,2)/PSp(16
,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin17/Spin(15,2)/PSp(16
,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin17/Spin(15,2)/PSp(16
,R)/kllist
block: blockwrite
File name for block output: Spin17/Spin(15,2)/PSp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin17/Spin(15,2)/PSp(16,R)/mat.bin
File name for polynomial output: Spin17/Spin(15,2)/PSp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(14,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): Spin17/Spin(14,3)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin17/Spin(14,3)/KGB
real: kgborder
kgbsize: 604
Name an output file (return for stdout, ? to abandon): Spin17/Spin(14,3)/kgbord
er
real: block
there is a unique dual real form choice: sp(16,R)
Name an output file (return for stdout, ? to abandon): Spin17/Spin(14,3)/PSp(16
,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin17/Spin(14,3)/PSp(16
,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin17/Spin(14,3)/PSp(16
,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin17/Spin(14,3)/PSp(16
,R)/kllist
block: blockwrite
File name for block output: Spin17/Spin(14,3)/PSp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin17/Spin(14,3)/PSp(16,R)/mat.bin
File name for polynomial output: Spin17/Spin(14,3)/PSp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(13,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): Spin17/Spin(13,4)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin17/Spin(13,4)/KGB
real: kgborder
kgbsize: 3934
Name an output file (return for stdout, ? to abandon): Spin17/Spin(13,4)/kgbord
er
real: block
there is a unique dual real form choice: sp(16,R)
Name an output file (return for stdout, ? to abandon): Spin17/Spin(13,4)/PSp(16
,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin17/Spin(13,4)/PSp(16
,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin17/Spin(13,4)/PSp(16
,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin17/Spin(13,4)/PSp(16
,R)/kllist
block: blockwrite
File name for block output: Spin17/Spin(13,4)/PSp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin17/Spin(13,4)/PSp(16,R)/mat.bin
File name for polynomial output: Spin17/Spin(13,4)/PSp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(12,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 5
real: cartan
Name an output file (return for stdout, ? to abandon): Spin17/Spin(12,5)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin17/Spin(12,5)/KGB
real: kgborder
kgbsize: 10150
Name an output file (return for stdout, ? to abandon): Spin17/Spin(12,5)/kgbord
er
real: block
there is a unique dual real form choice: sp(16,R)
Name an output file (return for stdout, ? to abandon): Spin17/Spin(12,5)/PSp(16
,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin17/Spin(12,5)/PSp(16
,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin17/Spin(12,5)/PSp(16
,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin17/Spin(12,5)/PSp(16
,R)/kllist
block: blockwrite
File name for block output: Spin17/Spin(12,5)/PSp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin17/Spin(12,5)/PSp(16,R)/mat.bin
File name for polynomial output: Spin17/Spin(12,5)/PSp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(11,6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 6
real: cartan
Name an output file (return for stdout, ? to abandon): Spin17/Spin(11,6)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin17/Spin(11,6)/KGB
real: kgborder
kgbsize: 31864
Name an output file (return for stdout, ? to abandon): Spin17/Spin(11,6)/kgbord
er
real: block
there is a unique dual real form choice: sp(16,R)
Name an output file (return for stdout, ? to abandon): Spin17/Spin(11,6)/PSp(16
,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin17/Spin(11,6)/PSp(16
,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin17/Spin(11,6)/PSp(16
,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin17/Spin(11,6)/PSp(16
,R)/kllist
block: blockwrite
File name for block output: Spin17/Spin(11,6)/PSp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin17/Spin(11,6)/PSp(16,R)/mat.bin
File name for polynomial output: Spin17/Spin(11,6)/PSp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(10,7)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 7
real: cartan
Name an output file (return for stdout, ? to abandon): Spin17/Spin(10,7)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin17/Spin(10,7)/KGB
real: kgborder
kgbsize: 53432
Name an output file (return for stdout, ? to abandon): Spin17/Spin(10,7)/kgbord
er
real: block
there is a unique dual real form choice: sp(16,R)
Name an output file (return for stdout, ? to abandon): Spin17/Spin(10,7)/PSp(16
,R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin17/Spin(10,7)/PSp(16
,R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin17/Spin(10,7)/PSp(16
,R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin17/Spin(10,7)/PSp(16
,R)/kllist
block: blockwrite
File name for block output: Spin17/Spin(10,7)/PSp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin17/Spin(10,7)/PSp(16,R)/mat.bin
File name for polynomial output: Spin17/Spin(10,7)/PSp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(9,8)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(17)
1: so(16,1)
2: so(15,2)
3: so(14,3)
4: so(13,4)
5: so(12,5)
6: so(11,6)
7: so(10,7)
8: so(9,8)
enter your choice: 8
real: cartan
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/KGB
real: kgborder
kgbsize: 79585
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/kgborde
r
real: block
possible (weak) dual real forms are:
0: sp(8)
1: sp(7,1)
2: sp(6,2)
3: sp(5,3)
4: sp(4,4)
5: sp(16,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(8)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(8)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(8)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(8)/
kllist
block: blockwrite
File name for block output: Spin17/Spin(9,8)/PSp(8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin17/Spin(9,8)/PSp(8)/mat.bin
File name for polynomial output: Spin17/Spin(9,8)/PSp(8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(8)
1: sp(7,1)
2: sp(6,2)
3: sp(5,3)
4: sp(4,4)
5: sp(16,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(7,1
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(7,1
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(7,1
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(7,1
)/kllist
block: blockwrite
File name for block output: Spin17/Spin(9,8)/PSp(7,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin17/Spin(9,8)/PSp(7,1)/mat.bin
File name for polynomial output: Spin17/Spin(9,8)/PSp(7,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(8)
1: sp(7,1)
2: sp(6,2)
3: sp(5,3)
4: sp(4,4)
5: sp(16,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(6,2
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(6,2
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(6,2
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(6,2
)/kllist
block: blockwrite
File name for block output: Spin17/Spin(9,8)/PSp(6,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin17/Spin(9,8)/PSp(6,2)/mat.bin
File name for polynomial output: Spin17/Spin(9,8)/PSp(6,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(8)
1: sp(7,1)
2: sp(6,2)
3: sp(5,3)
4: sp(4,4)
5: sp(16,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(5,3
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(5,3
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(5,3
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(5,3
)/kllist
block: blockwrite
File name for block output: Spin17/Spin(9,8)/PSp(5,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin17/Spin(9,8)/PSp(5,3)/mat.bin
File name for polynomial output: Spin17/Spin(9,8)/PSp(5,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(8)
1: sp(7,1)
2: sp(6,2)
3: sp(5,3)
4: sp(4,4)
5: sp(16,R)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(4,4
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(4,4
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(4,4
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(4,4
)/kllist
block: blockwrite
File name for block output: Spin17/Spin(9,8)/PSp(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin17/Spin(9,8)/PSp(4,4)/mat.bin
File name for polynomial output: Spin17/Spin(9,8)/PSp(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sp(8)
1: sp(7,1)
2: sp(6,2)
3: sp(5,3)
4: sp(4,4)
5: sp(16,R)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(16,
R)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(16,
R)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(16,
R)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): Spin17/Spin(9,8)/PSp(16,
R)/kllist
block: blockwrite
File name for block output: Spin17/Spin(9,8)/PSp(16,R)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Spin17/Spin(9,8)/PSp(16,R)/mat.bin
File name for polynomial output: Spin17/Spin(9,8)/PSp(16,R)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Spin(17,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: B8.B8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: so(17,C)
Name an output file (return for stdout, ? to abandon): Spin17/Spin(17,C)/cartan
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kn
real: KGB
Name an output file (return for stdout, ? to abandon): Spin17/Spin(17,C)/KGB
real: ?
?: not found
real: qq
PSO(4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): ss
main: realform
(weak) real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PSO4/PSO(4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO4/PSO(4)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): PSO4/PSO(4)/kgborder
real: block
there is a unique dual real form choice: sl(2,R).sl(2,R)
Name an output file (return for stdout, ? to abandon): PSO4/PSO(4)/Spin(2,2)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO4/PSO(4)/Spin(2,2)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO4/PSO(4)/Spin(2,2)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO4/PSO(4)/Spin(2,2)/kl
list
block: blockwrite
File name for block output: PSO4/PSO(4)/Spin(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO4/PSO(4)/Spin(2,2)/mat.bin
File name for polynomial output: PSO4/PSO(4)/Spin(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(3,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: sl(2,C)
Name an output file (return for stdout, ? to abandon): PSO4/PSO(3,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO4/PSO(3,1)/KGB
real: kgborder
kgbsize: 2
Name an output file (return for stdout, ? to abandon): PSO4/PSO(3,1)/kgborder
real: block
there is a unique dual real form choice: sl(2,C)
Name an output file (return for stdout, ? to abandon): PSO4/PSO(3,1)/Spin(3,1)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO4/PSO(3,1)/Spin(3,1)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO4/PSO(3,1)/Spin(3,1)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO4/PSO(3,1)/Spin(3,1)/
kllist
block: blockwrite
File name for block output: PSO4/PSO(3,1)/Spin(3,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO4/PSO(3,1)/Spin(3,1)/mat.bin
File name for polynomial output: PSO4/PSO(3,1)/Spin(3,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(2,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): ss
main: realform
(weak) real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/KGB
real: kgborder
kgbsize: 4
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/kgborder
real: block
possible (weak) dual real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/Spin(4)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/Spin(4)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/Spin(4)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/Spin(4)/kl
list
block: blockwrite
File name for block output: PSO4/PSO(2,2)/Spin(4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO4/PSO(2,2)/Spin(4)/mat.bin
File name for polynomial output: PSO4/PSO(2,2)/Spin(4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/Spin*(4)+/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/Spin*(4)+/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/Spin*(4)+/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/Spin*(4)+/
kllist
block: blockwrite
File name for block output: PSO4/PSO(2,2)/Spin*(4)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO4/PSO(2,2)/Spin*(4)+/mat.bin
File name for polynomial output: PSO4/PSO(2,2)/Spin*(4)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/Spin*(4)-/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/Spin*(4)-/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/Spin*(4)-/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/Spin*(4)-/
kllist
block: blockwrite
File name for block output: PSO4/PSO(2,2)/Spin*(4)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO4/PSO(2,2)/Spin*(4)-/mat.bin
File name for polynomial output: PSO4/PSO(2,2)/Spin*(4)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/Spin(2,2)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/Spin(2,2)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/Spin(2,2)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO4/PSO(2,2)/Spin(2,2)/
kllist
block: blockwrite
File name for block output: PSO4/PSO(2,2)/Spin(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO4/PSO(2,2)/Spin(2,2)/mat.bin
File name for polynomial output: PSO4/PSO(2,2)/Spin(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO*(4)+
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): ss
main: realform
(weak) real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)+/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)+/KGB
real: kgborder
kgbsize: 2
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)+/kgborder
real: block
possible (weak) dual real forms are:
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)+/Spin*(4)-/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)+/Spin*(4)-/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)+/Spin*(4)-/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)+/Spin*(4)-/
kllist
block: blockwrite
File name for block output: PSO4/PSO*(4)+/Spin*(4)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO4/PSO*(4)+/Spin*(4)-/mat.bin
File name for polynomial output: PSO4/PSO*(4)+/Spin*(4)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)+/Spin(2,2)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)+/Spin(2,2)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)+/Spin(2,2)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)+/Spin(2,2)/
kllist
block: blockwrite
File name for block output: PSO4/PSO*(4)+/Spin(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO4/PSO*(4)+/Spin(2,2)/mat.bin
File name for polynomial output: PSO4/PSO*(4)+/Spin(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO*(4)-
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): ss
main: realform
(weak) real forms are:
0: su(2).su(2)
1: sl(2,R).su(2)
2: su(2).sl(2,R)
3: sl(2,R).sl(2,R)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)-/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)-/KGB
real: kgborder
kgbsize: 2
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)-/kgborder
real: block
possible (weak) dual real forms are:
1: sl(2,R).su(2)
3: sl(2,R).sl(2,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)-/Spin*(4)+/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)-/Spin*(4)+/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)-/Spin*(4)+/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)-/Spin*(4)+/
kllist
block: blockwrite
File name for block output: PSO4/PSO*(4)-/Spin*(4)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO4/PSO*(4)-/Spin*(4)+/mat.bin
File name for polynomial output: PSO4/PSO*(4)-/Spin*(4)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: sl(2,R).su(2)
3: sl(2,R).sl(2,R)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)-/Spin(2,2)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)-/Spin(2,2)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)-/Spin(2,2)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO4/PSO*(4)-/Spin(2,2)/
kllist
block: blockwrite
File name for block output: PSO4/PSO*(4)-/Spin(2,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO4/PSO*(4)-/Spin(2,2)/mat.bin
File name for polynomial output: PSO4/PSO*(4)-/Spin(2,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(4,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A1.A1.A1.A1
elements of finite order in the center of the simply connected group:
Z/2.Z/2.Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): CC
main: cartan
there is a unique real form: sl(2,C).sl(2,C)
Name an output file (return for stdout, ? to abandon): PSO4/PSO(4,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO4/PSO(4,C)/KGB
real: kgborder
kgbsize: 4
Name an output file (return for stdout, ? to abandon): PSO4/PSO(4,C)/kgborder
real: block
there is a unique dual real form choice: sl(2,C).sl(2,C)
Name an output file (return for stdout, ? to abandon): PSO4/PSO(4,C)/Spin(4,C)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO4/PSO(4,C)/Spin(4,C)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO4/PSO(4,C)/Spin(4,C)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO4/PSO(4,C)/Spin(4,C)/
kllist
block: blockwrite
File name for block output: PSO4/PSO(4,C)/Spin(4,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO4/PSO(4,C)/Spin(4,C)/mat.bin
File name for polynomial output: PSO4/PSO(4,C)/Spin(4,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PSO6/PSO(6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO6/PSO(6)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): PSO6/PSO(6)/kgborder
real: block
there is a unique dual real form choice: sl(4,R)
Name an output file (return for stdout, ? to abandon): PSO6/PSO(6)/Spin(3,3)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO6/PSO(6)/Spin(3,3)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO6/PSO(6)/Spin(3,3)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO6/PSO(6)/Spin(3,3)/kl
list
block: blockwrite
File name for block output: PSO6/PSO(6)/Spin(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO6/PSO(6)/Spin(3,3)/mat.bin
File name for polynomial output: PSO6/PSO(6)/Spin(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(5,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PSO6/PSO(5,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO6/PSO(5,1)/KGB
real: kgborder
kgbsize: 3
Name an output file (return for stdout, ? to abandon): PSO6/PSO(5,1)/kgborder
real: block
there is a unique dual real form choice: su(2,2)
Name an output file (return for stdout, ? to abandon): PSO6/PSO(5,1)/Spin(4,2)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO6/PSO(5,1)/Spin(4,2)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO6/PSO(5,1)/Spin(4,2)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO6/PSO(5,1)/Spin(4,2)/
kllist
block: blockwrite
File name for block output: PSO6/PSO(5,1)/Spin(4,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO6/PSO(5,1)/Spin(4,2)/mat.bin
File name for polynomial output: PSO6/PSO(5,1)/Spin(4,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(4,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PSO6/PSO(4,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO6/PSO(4,2)/KGB
real: kgborder
kgbsize: 12
Name an output file (return for stdout, ? to abandon): PSO6/PSO(4,2)/kgborder
real: block
possible (weak) dual real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PSO6/PSO(4,2)/Spin(5,1)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO6/PSO(4,2)/Spin(5,1)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO6/PSO(4,2)/Spin(5,1)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO6/PSO(4,2)/Spin(5,1)/
kllist
block: blockwrite
File name for block output: PSO6/PSO(4,2)/Spin(5,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO6/PSO(4,2)/Spin(5,1)/mat.bin
File name for polynomial output: PSO6/PSO(4,2)/Spin(5,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO6/PSO(4,2)/Spin(3,3)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO6/PSO(4,2)/Spin(3,3)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO6/PSO(4,2)/Spin(3,3)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO6/PSO(4,2)/Spin(3,3)/
kllist
block: blockwrite
File name for block output: PSO6/PSO(4,2)/Spin(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO6/PSO(4,2)/Spin(3,3)/mat.bin
File name for polynomial output: PSO6/PSO(4,2)/Spin(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(3,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: sl(2,H)
1: sl(4,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PSO6/PSO(3,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO6/PSO(3,3)/KGB
real: kgborder
kgbsize: 10
Name an output file (return for stdout, ? to abandon): PSO6/PSO(3,3)/kgborder
real: block
possible (weak) dual real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PSO6/PSO(3,3)/Spin(6)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO6/PSO(3,3)/Spin(6)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO6/PSO(3,3)/Spin(6)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO6/PSO(3,3)/Spin(6)/kl
list
block: blockwrite
File name for block output: PSO6/PSO(3,3)/Spin(6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO6/PSO(3,3)/Spin(6)/mat.bin
File name for polynomial output: PSO6/PSO(3,3)/Spin(6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO6/PSO(3,3)/Spin*(6)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO6/PSO(3,3)/Spin*(6)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO6/PSO(3,3)/Spin*(6)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO6/PSO(3,3)/Spin*(6)/k
llist
block: blockwrite
File name for block output: PSO6/PSO(3,3)/Spin*(6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO6/PSO(3,3)/Spin*(6)/mat.bin
File name for polynomial output: PSO6/PSO(3,3)/Spin*(6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO6/PSO(3,3)/Spin(4,2)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO6/PSO(3,3)/Spin(4,2)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO6/PSO(3,3)/Spin(4,2)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO6/PSO(3,3)/Spin(4,2)/
kllist
block: blockwrite
File name for block output: PSO6/PSO(3,3)/Spin(4,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO6/PSO(3,3)/Spin(4,2)/mat.bin
File name for polynomial output: PSO6/PSO(3,3)/Spin(4,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO*(6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: su(4)
1: su(3,1)
2: su(2,2)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PSO6/PSO*(6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO6/PSO*(6)/KGB
real: kgborder
kgbsize: 10
Name an output file (return for stdout, ? to abandon): PSO6/PSO*(6)/kgborder
real: block
there is a unique dual real form choice: sl(4,R)
Name an output file (return for stdout, ? to abandon): PSO6/PSO*(6)/Spin(3,3)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO6/PSO*(6)/Spin(3,3)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO6/PSO*(6)/Spin(3,3)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO6/PSO*(6)/Spin(3,3)/k
llist
block: blockwrite
File name for block output: PSO6/PSO*(6)/Spin(3,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO6/PSO*(6)/Spin(3,3)/mat.bin
File name for polynomial output: PSO6/PSO*(6)/Spin(3,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(6,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: A3.A3
elements of finite order in the center of the simply connected group:
Z/4.Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: sl(4,C)
Name an output file (return for stdout, ? to abandon): PSO6/PSO(6,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO6/PSO(6,C)/KGB
real: kgborder
kgbsize: 24
Name an output file (return for stdout, ? to abandon): PSO6/PSO(6,C)/kgborder
real: block
there is a unique dual real form choice: sl(4,C)
Name an output file (return for stdout, ? to abandon): PSO6/PSO(6,C)/Spin(6,C)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO6/PSO(6,C)/Spin(6,C)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO6/PSO(6,C)/Spin(6,C)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO6/PSO(6,C)/Spin(6,C)/
kllist
block: blockwrite
File name for block output: PSO6/PSO(6,C)/Spin(6,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO6/PSO(6,C)/Spin(6,C)/mat.bin
File name for polynomial output: PSO6/PSO(6,C)/Spin(6,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(8)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PSO8/PSO(8)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO8/PSO(8)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): PSO8/PSO(8)/kgborder
real: block
there is a unique dual real form choice: so(4,4)
Name an output file (return for stdout, ? to abandon): PSO8/PSO(8)/Spin(4,4)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO8/PSO(8)/Spin(4,4)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO8/PSO(8)/Spin(4,4)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO8/PSO(8)/Spin(4,4)/kl
list
block: blockwrite
File name for block output: PSO8/PSO(8)/Spin(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO8/PSO(8)/Spin(4,4)/mat.bin
File name for polynomial output: PSO8/PSO(8)/Spin(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(7,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(7,1)
1: so(5,3)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PSO8/PSO(7,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO8/PSO(7,1)/KGB
real: kgborder
kgbsize: 4
Name an output file (return for stdout, ? to abandon): PSO8/PSO(7,1)/kgborder
real: block
there is a unique dual real form choice: so(5,3)
Name an output file (return for stdout, ? to abandon): PSO8/PSO(7,1)/Spin(5,3)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO8/PSO(7,1)/Spin(5,3)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO8/PSO(7,1)/Spin(5,3)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO8/PSO(7,1)/Spin(5,3)/
kllist
block: blockwrite
File name for block output: PSO8/PSO(7,1)/Spin(5,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO8/PSO(7,1)/Spin(5,3)/mat.bin
File name for polynomial output: PSO8/PSO(7,1)/Spin(5,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(6,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PSO8/PSO(6,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO8/PSO(6,2)/KGB
real: kgborder
kgbsize: 22
Name an output file (return for stdout, ? to abandon): PSO8/PSO(6,2)/kgborder
real: block
possible (weak) dual real forms are:
1: so(6,2)
4: so(4,4)
enter your choice: 0
sorry, value must be one of 1,4
try again (? to abort): PSO8/PSO(6,2)/Spin(6,2)/block
sorry, value must be one of 1,4
try again (? to abort): wgraph
sorry, value must be one of 1,4
try again (? to abort): PSO8/PSO(6,2)/Spin(6,2)/wgraph
sorry, value must be one of 1,4
try again (? to abort): wcells
sorry, value must be one of 1,4
try again (? to abort): PSO8/PSO(6,2)/Spin(6,2)/wcells
sorry, value must be one of 1,4
try again (? to abort): kllist
sorry, value must be one of 1,4
try again (? to abort): PSO8/PSO(6,2)/Spin(6,2)/kllist
sorry, value must be one of 1,4
try again (? to abort): blockwrite
sorry, value must be one of 1,4
try again (? to abort): PSO8/PSO(6,2)/Spin(6,2)/blk.bin
sorry, value must be one of 1,4
try again (? to abort): klwrite
sorry, value must be one of 1,4
try again (? to abort): PSO8/PSO(6,2)/Spin(6,2)/mat.bin
sorry, value must be one of 1,4
try again (? to abort): PSO8/PSO(6,2)/Spin(6,2)/pol.bin
sorry, value must be one of 1,4
try again (? to abort): q
sorry, value must be one of 1,4
try again (? to abort): block
sorry, value must be one of 1,4
try again (? to abort): 1
Name an output file (return for stdout, ? to abandon): PSO8/PSO(6,2)/Spin(4,4)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO8/PSO(6,2)/Spin(4,4)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO8/PSO(6,2)/Spin(4,4)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO8/PSO(6,2)/Spin(4,4)/
kllist
block: blockwrite
File name for block output: PSO8/PSO(6,2)/Spin(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO8/PSO(6,2)/Spin(4,4)/mat.bin
File name for polynomial output: PSO8/PSO(6,2)/Spin(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(5,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(7,1)
1: so(5,3)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PSO8/PSO(5,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO8/PSO(5,3)/KGB
real: kgborder
kgbsize: 40
Name an output file (return for stdout, ? to abandon): PSO8/PSO(5,3)/kgborder
real: block
possible (weak) dual real forms are:
0: so(7,1)
1: so(5,3)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PSO8/PSO(5,3)/Spin(7,1)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO8/PSO(5,3)/Spin(7,1)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO8/PSO(5,3)/Spin(7,1)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO8/PSO(5,3)/Spin(7,1)/
kllist
block: blockwrite
File name for block output: PSO8/PSO(5,3)/Spin(7,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO8/PSO(5,3)/Spin(7,1)/mat.bin
File name for polynomial output: PSO8/PSO(5,3)/Spin(7,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(7,1)
1: so(5,3)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO8/PSO(5,3)/Spin(5,3)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO8/PSO(5,3)/Spin(5,3)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO8/PSO(5,3)/Spin(5,3)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO8/PSO(5,3)/Spin(5,3)/
kllist
block: blockwrite
File name for block output: PSO8/PSO(5,3)/Spin(5,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO8/PSO(5,3)/Spin(5,3)/mat.bin
File name for polynomial output: PSO8/PSO(5,3)/Spin(5,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(4,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/KGB
real: kgborder
kgbsize: 46
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/kgborder
real: block
possible (weak) dual real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/Spin(8)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/Spin(8)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/Spin(8)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/Spin(8)/kl
list
block: blockwrite
File name for block output: PSO8/PSO(4,4)/Spin(8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO8/PSO(4,4)/Spin(8)/mat.bin
File name for polynomial output: PSO8/PSO(4,4)/Spin(8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/Spin(6,2)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/Spin(6,2)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/Spin(6,2)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/Spin(6,2)/
kllist
block: blockwrite
File name for block output: PSO8/PSO(4,4)/Spin(6,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO8/PSO(4,4)/Spin(6,2)/mat.bin
File name for polynomial output: PSO8/PSO(4,4)/Spin(6,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/Spin*(8)+/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/Spin*(8)+/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/Spin*(8)+/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/Spin*(8)+/
kllist
block: blockwrite
File name for block output: PSO8/PSO(4,4)/Spin*(8)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO8/PSO(4,4)/Spin*(8)+/mat.bin
File name for polynomial output: PSO8/PSO(4,4)/Spin*(8)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/Spin*(8)-/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/Spin*(8)-/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/Spin*(8)-/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/Spin*(8)-/
kllist
block: blockwrite
File name for block output: PSO8/PSO(4,4)/Spin*(8)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO8/PSO(4,4)/Spin*(8)-/mat.bin
File name for polynomial output: PSO8/PSO(4,4)/Spin*(8)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/SO(4,4)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/SO(4,4)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/SO(4,4)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO8/PSO(4,4)/SO(4,4)/kl
list
block: blockwrite
File name for block output: PSO8/PSO(4,4)/SO(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO8/PSO(4,4)/SO(4,4)/mat.bin
File name for polynomial output: PSO8/PSO(4,4)/SO(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO*(8)+
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)+/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)+/KGB
real: kgborder
kgbsize: 22
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)+/kgborder
real: block
possible (weak) dual real forms are:
2: so*(8)[0,1]
4: so(4,4)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)+/Spin*(8)+/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)+/Spin*(8)+/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)+/Spin*(8)+/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)+/Spin*(8)+/
kllist
block: blockwrite
File name for block output: PSO8/PSO*(8)+/Spin*(8)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO8/PSO*(8)+/Spin*(8)+/mat.bin
File name for polynomial output: PSO8/PSO*(8)+/Spin*(8)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so*(8)[0,1]
4: so(4,4)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)+/Spin(4,4)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)+/Spin(4,4)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)+/Spin(4,4)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)+/Spin(4,4)/
kllist
block: blockwrite
File name for block output: PSO8/PSO*(8)+/Spin(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO8/PSO*(8)+/Spin(4,4)/mat.bin
File name for polynomial output: PSO8/PSO*(8)+/Spin(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO*(8)-
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(8)
1: so(6,2)
2: so*(8)[0,1]
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)-/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)-/KGB
real: kgborder
kgbsize: 22
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)-/kgborder
real: block
possible (weak) dual real forms are:
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)-/Spin*(8)-/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)-/Spin*(8)-/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)-/Spin*(8)-/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)-/Spin*(8)-/
kllist
block: blockwrite
File name for block output: PSO8/PSO*(8)-/Spin*(8)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO8/PSO*(8)-/Spin*(8)-/mat.bin
File name for polynomial output: PSO8/PSO*(8)-/Spin*(8)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
3: so*(8)[1,0]
4: so(4,4)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)-/Spin(4,4)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)-/Spin(4,4)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)-/Spin(4,4)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO8/PSO*(8)-/Spin(4,4)/
kllist
block: blockwrite
File name for block output: PSO8/PSO*(8)-/Spin(4,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO8/PSO*(8)-/Spin(4,4)/mat.bin
File name for polynomial output: PSO8/PSO*(8)-/Spin(4,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(8,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D4.D4
elements of finite order in the center of the simply connected group:
Z/2.Z/2.Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: so(8,C)
Name an output file (return for stdout, ? to abandon): PSO8/PSO(8,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO8/PSO(8,C)/KGB
real: kgborder
kgbsize: 192
Name an output file (return for stdout, ? to abandon): PSO8/PSO(8,C)/kgborder
real: block
there is a unique dual real form choice: so(8,C)
Name an output file (return for stdout, ? to abandon): PSO8/PSO(8,C)/Spin(8,C)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO8/PSO(8,C)/Spin(8,C)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO8/PSO(8,C)/Spin(8,C)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO8/PSO(8,C)/Spin(8,C)/
kllist
block: blockwrite
File name for block output: PSO8/PSO(8,C)/Spin(8,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO8/PSO(8,C)/Spin(8,C)/mat.bin
File name for polynomial output: PSO8/PSO(8,C)/Spin(8,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(10)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PSO10/PSO(10)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO10/PSO(10)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): PSO10/PSO(10)/kgborder
real: block
there is a unique dual real form choice: so(5,5)
Name an output file (return for stdout, ? to abandon): PSO10/PSO(10)/SO(5,5)/bl
ock
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO10/PSO(10)/SO(5,5)/wg
raph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO10/PSO(10)/SO(5,5)/wc
ells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO10/PSO(10)/SO(5,5)/kl
list
block: blockwrite
File name for block output: PSO10/PSO(10)/SO(5,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO10/PSO(10)/SO(5,5)/mat.bin
File name for polynomial output: PSO10/PSO(10)/SO(5,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(9,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PSO10/PSO(9,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO10/PSO(9,1)/KGB
real: kgborder
kgbsize: 5
Name an output file (return for stdout, ? to abandon): PSO10/PSO(9,1)/kgborder
real: block
there is a unique dual real form choice: so(6,4)
Name an output file (return for stdout, ? to abandon): PSO10/PSO(9,1)/Spin(6,4)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO10/PSO(9,1)/Spin(6,4)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO10/PSO(9,1)/Spin(6,4)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO10/PSO(9,1)/Spin(6,4)
/kllist
block: blockwrite
File name for block output: PSO10/PSO(9,1)/Spin(6,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO10/PSO(9,1)/Spin(6,4)/mat.bin
File name for polynomial output: PSO10/PSO(9,1)/Spin(6,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(8,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PSO10/PSO(8,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO10/PSO(8,2)/KGB
real: kgborder
kgbsize: 35
Name an output file (return for stdout, ? to abandon): PSO10/PSO(8,2)/kgborder
real: block
possible (weak) dual real forms are:
1: so(7,3)
2: so(5,5)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO10/PSO(8,2)/Spin(7,3)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO10/PSO(8,2)/Spin(7,3)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO10/PSO(8,2)/Spin(7,3)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO10/PSO(8,2)/Spin(7,3)
/kllist
block: blockwrite
File name for block output: PSO10/PSO(8,2)/Spin(7,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO10/PSO(8,2)/Spin(7,3)/mat.bin
File name for polynomial output: PSO10/PSO(8,2)/Spin(7,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(7,3)
2: so(5,5)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO10/PSO(8,2)/SO(5,5)/b
lock
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO10/PSO(8,2)/SO(5,5)/w
graph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO10/PSO(8,2)/SO(5,5)/w
cells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO10/PSO(8,2)/SO(5,5)/k
llist
block: blockwrite
File name for block output: PSO10/PSO(8,2)/SO(5,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO10/PSO(8,2)/SO(5,5)/mat.bin
File name for polynomial output: PSO10/PSO(8,2)/SO(5,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(7,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PSO10/PSO(7,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO10/PSO(7,3)/KGB
real: kgborder
kgbsize: 90
Name an output file (return for stdout, ? to abandon): PSO10/PSO(7,3)/kgborder
real: block
possible (weak) dual real forms are:
1: so(8,2)
3: so(6,4)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO10/PSO(7,3)/Spin(8,2)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO10/PSO(7,3)/Spin(8,2)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO10/PSO(7,3)/Spin(8,2)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO10/PSO(7,3)/Spin(8,2)
/kllist
block: blockwrite
File name for block output: PSO10/PSO(7,3)/Spin(8,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO10/PSO(7,3)/Spin(8,2)/mat.bin
File name for polynomial output: PSO10/PSO(7,3)/Spin(8,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(8,2)
3: so(6,4)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO10/PSO(7,3)/Spin(6,4)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO10/PSO(7,3)/Spin(6,4)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO10/PSO(7,3)/Spin(6,4)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO10/PSO(7,3)/Spin(6,4)
/kllist
block: blockwrite
File name for block output: PSO10/PSO(7,3)/Spin(6,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO10/PSO(7,3)/Spin(6,4)/mat.bin
File name for polynomial output: PSO10/PSO(7,3)/Spin(6,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(6,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): PSO10/PSO(6,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO10/PSO(6,4)/KGB
real: kgborder
kgbsize: 225
Name an output file (return for stdout, ? to abandon): PSO10/PSO(6,4)/kgborder
real: block
possible (weak) dual real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PSO10/PSO(6,4)/Spin(9,1)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO10/PSO(6,4)/Spin(9,1)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO10/PSO(6,4)/Spin(9,1)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO10/PSO(6,4)/Spin(9,1)
/kllist
block: blockwrite
File name for block output: PSO10/PSO(6,4)/Spin(9,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO10/PSO(6,4)/Spin(9,1)/mat.bin
File name for polynomial output: PSO10/PSO(6,4)/Spin(9,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO10/PSO(6,4)/Spin(7,3)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO10/PSO(6,4)/Spin(7,3)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO10/PSO(6,4)/Spin(7,3)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO10/PSO(6,4)/Spin(7,3)
/kllist
block: blockwrite
File name for block output: PSO10/PSO(6,4)/Spin(7,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO10/PSO(6,4)/Spin(7,3)/mat.bin
File name for polynomial output: PSO10/PSO(6,4)/Spin(7,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO10/PSO(6,4)/Spin(5,5)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO10/PSO(6,4)/Spin(5,5)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO10/PSO(6,4)/Spin(5,5)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO10/PSO(6,4)/Spin(5,5)
/kllist
block: blockwrite
File name for block output: PSO10/PSO(6,4)/Spin(5,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO10/PSO(6,4)/Spin(5,5)/mat.bin
File name for polynomial output: PSO10/PSO(6,4)/Spin(5,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(5,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(9,1)
1: so(7,3)
2: so(5,5)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/KGB
real: kgborder
kgbsize: 166
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/kgborder
real: block
possible (weak) dual real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/Spin(10)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/Spin(10)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/Spin(10)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/Spin(10)/
kllist
block: blockwrite
File name for block output: PSO10/PSO(5,5)/Spin(10)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO10/PSO(5,5)/Spin(10)/mat.bin
File name for polynomial output: PSO10/PSO(5,5)/Spin(10)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/Spin(8,2)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/Spin(8,2)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/Spin(8,2)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/Spin(8,2)
/kllist
block: blockwrite
File name for block output: PSO10/PSO(5,5)/Spin(8,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO10/PSO(5,5)/Spin(8,2)/mat.bin
File name for polynomial output: PSO10/PSO(5,5)/Spin(8,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/Spin*(10)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/Spin*(10)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/Spin*(10)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/Spin*(10)
/kllist
block: blockwrite
File name for block output: PSO10/PSO(5,5)/Spin*(10)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO10/PSO(5,5)/Spin*(10)/mat.bin
File name for polynomial output: PSO10/PSO(5,5)/Spin*(10)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/Spin(6,4)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/Spin(6,4)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/Spin(6,4)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO10/PSO(5,5)/Spin(6,4)
/kllist
block: blockwrite
File name for block output: PSO10/PSO(5,5)/Spin(6,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO10/PSO(5,5)/Spin(6,4)/mat.bin
File name for polynomial output: PSO10/PSO(5,5)/Spin(6,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO*(10)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(10)
1: so(8,2)
2: so*(10)
3: so(6,4)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PSO10/PSO*(10)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO10/PSO*(10)/KGB
real: kgborder
kgbsize: 156
Name an output file (return for stdout, ? to abandon): PSO10/PSO*(10)/kgborder
real: block
there is a unique dual real form choice: so(5,5)
Name an output file (return for stdout, ? to abandon): PSO10/PSO*(10)/Spin(5,5)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO10/PSO*(10)/Spin(5,5)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO10/PSO*(10)/Spin(5,5)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO10/PSO*(10)/Spin(5,5)
/kllist
block: blockwrite
File name for block output: PSO10/PSO*(10)/Spin(5,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO10/PSO*(10)/Spin(5,5)/mat.bin
File name for polynomial output: PSO10/PSO*(10)/Spin(5,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(10,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D5.D5
elements of finite order in the center of the simply connected group:
Z/4.Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: so(10,C)
Name an output file (return for stdout, ? to abandon): PSO10/PSO(10,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO10/PSO(10,C)/KGB
real: kgborder
kgbsize: 1920
Name an output file (return for stdout, ? to abandon): PSO10/PSO(10,C)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: so(10,C)
Name an output file (return for stdout, ? to abandon): PSO10/PSO(10,C)/Spin(10,
C)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO10/PSO(10,C)/Spin(10,
C)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO10/PSO(10,C)/Spin(10,
C)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO10/PSO(10,C)/Spin(10,
C)/kllist
block: blockwrite
File name for block output: PSO10/PSO(10,C)/Spin(10,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO10/PSO(10,C)/Spin(10,C)/mat.bin
File name for polynomial output: PSO10/PSO(10,C)/Spin(10,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(12)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PSO12/PSO(12)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO12/PSO(12)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): PSO12/PSO(12)/kgborder
real: block
there is a unique dual real form choice: so(6,6)
Name an output file (return for stdout, ? to abandon): PSO12/PSO(12)/Spin(6,6)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(12)/Spin(6,6)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(12)/Spin(6,6)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(12)/Spin(6,6)/
kllist
block: blockwrite
File name for block output: PSO12/PSO(12)/Spin(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(12)/Spin(6,6)/mat.bin
File name for polynomial output: PSO12/PSO(12)/Spin(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(11,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PSO12/PSO(11,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO12/PSO(11,1)/KGB
real: kgborder
kgbsize: 6
Name an output file (return for stdout, ? to abandon): PSO12/PSO(11,1)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: so(7,5)
Name an output file (return for stdout, ? to abandon): PSO12/PSO(11,1)/Spin(7,5
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(11,1)/Spin(7,5
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(11,1)/Spin(7,5
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(11,1)/Spin(7,5
)/kllist
block: blockwrite
File name for block output: PSO12/PSO(11,1)/Spin(7,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(11,1)/Spin(7,5)/mat.bin
File name for polynomial output: PSO12/PSO(11,1)/Spin(7,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(10,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PSO12/PSO(10,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO12/PSO(10,2)/KGB
real: kgborder
kgbsize: 51
Name an output file (return for stdout, ? to abandon): PSO12/PSO(10,2)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
4: so(8,4)
5: so(6,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): PSO12/PSO(10,2)/Spin(8,4
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(10,2)/Spin(8,4
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(10,2)/Spin(8,4
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(10,2)/Spin(8,4
)/kllist
block: blockwrite
File name for block output: PSO12/PSO(10,2)/Spin(8,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(10,2)/Spin(8,4)/mat.bin
File name for polynomial output: PSO12/PSO(10,2)/Spin(8,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
4: so(8,4)
5: so(6,6)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): PSO12/PSO(10,2)/Spin(6,6
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(10,2)/Spin(6,6
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(10,2)/Spin(6,6
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(10,2)/Spin(6,6
)/kllist
block: blockwrite
File name for block output: PSO12/PSO(10,2)/Spin(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(10,2)/Spin(6,6)/mat.bin
File name for polynomial output: PSO12/PSO(10,2)/Spin(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(9,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PSO12/PSO(9,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO12/PSO(9,3)/KGB
real: kgborder
kgbsize: 170
Name an output file (return for stdout, ? to abandon): PSO12/PSO(9,3)/kgborder
real: block
possible (weak) dual real forms are:
1: so(9,3)
2: so(7,5)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO12/PSO(9,3)/Spin(9,3)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(9,3)/Spin(9,3)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(9,3)/Spin(9,3)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(9,3)/Spin(9,3)
/kllist
block: blockwrite
File name for block output: PSO12/PSO(9,3)/Spin(9,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(9,3)/Spin(9,3)/mat.bin
File name for polynomial output: PSO12/PSO(9,3)/Spin(9,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(9,3)
2: so(7,5)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO12/PSO(9,3)/Spin(7,5)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(9,3)/Spin(7,5)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(9,3)/Spin(7,5)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(9,3)/Spin(7,5)
/kllist
block: blockwrite
File name for block output: PSO12/PSO(9,3)/Spin(7,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(9,3)/Spin(7,5)/mat.bin
File name for polynomial output: PSO12/PSO(9,3)/Spin(7,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(8,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): PSO12/PSO(8,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO12/PSO(8,4)/KGB
real: kgborder
kgbsize: 570
Name an output file (return for stdout, ? to abandon): PSO12/PSO(8,4)/kgborder
real: block
possible (weak) dual real forms are:
1: so(10,2)
4: so(8,4)
5: so(6,6)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO12/PSO(8,4)/Spin(10,2
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(8,4)/Spin(10,2
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(8,4)/Spin(10,2
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(8,4)/Spin(10,2
)/kllist
block: blockwrite
File name for block output: PSO12/PSO(8,4)/Spin(10,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(8,4)/Spin(10,2)/mat.bin
File name for polynomial output: PSO12/PSO(8,4)/Spin(10,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(10,2)
4: so(8,4)
5: so(6,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): PSO12/PSO(8,4)/Spin(8,4)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(8,4)/Spin(8,4)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(8,4)/Spin(8,4)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(8,4)/Spin(8,4)
/kllist
block: blockwrite
File name for block output: PSO12/PSO(8,4)/Spin(8,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(8,4)/Spin(8,4)/mat.bin
File name for polynomial output: PSO12/PSO(8,4)/Spin(8,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(10,2)
4: so(8,4)
5: so(6,6)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): PSO12/PSO(8,4)/Spin(6,6)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(8,4)/Spin(6,6)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(8,4)/Spin(6,6)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(8,4)/Spin(6,6)
/kllist
block: blockwrite
File name for block output: PSO12/PSO(8,4)/Spin(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(8,4)/Spin(6,6)/mat.bin
File name for polynomial output: PSO12/PSO(8,4)/Spin(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(7,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PSO12/PSO(7,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO12/PSO(7,5)/KGB
real: kgborder
kgbsize: 966
Name an output file (return for stdout, ? to abandon): PSO12/PSO(7,5)/kgborder
real: block
possible (weak) dual real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PSO12/PSO(7,5)/Spin(11,1
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(7,5)/Spin(11,1
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(7,5)/Spin(11,1
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(7,5)/Spin(11,1
)/kllist
block: blockwrite
File name for block output: PSO12/PSO(7,5)/Spin(11,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(7,5)/Spin(11,1)/mat.bin
File name for polynomial output: PSO12/PSO(7,5)/Spin(11,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO12/PSO(7,5)/Spin(9,3)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(7,5)/Spin(9,3)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(7,5)/Spin(9,3)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(7,5)/Spin(9,3)
/kllist
block: blockwrite
File name for block output: PSO12/PSO(7,5)/Spin(9,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(7,5)/Spin(9,3)/mat.bin
File name for polynomial output: PSO12/PSO(7,5)/Spin(9,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(11,1)
1: so(9,3)
2: so(7,5)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO12/PSO(7,5)/Spin(7,5)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(7,5)/Spin(7,5)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(7,5)/Spin(7,5)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(7,5)/Spin(7,5)
/kllist
block: blockwrite
File name for block output: PSO12/PSO(7,5)/Spin(7,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(7,5)/Spin(7,5)/mat.bin
File name for polynomial output: PSO12/PSO(7,5)/Spin(7,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(6,6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 5
real: cartan
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/KGB
real: kgborder
kgbsize: 851
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/kgborder
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin(12)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin(12)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin(12)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin(12)/
kllist
block: blockwrite
File name for block output: PSO12/PSO(6,6)/Spin(12)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(6,6)/Spin(12)/mat.bin
File name for polynomial output: PSO12/PSO(6,6)/Spin(12)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin(10,2
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin(10,2
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin(10,2
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin(10,2
)/kllist
block: blockwrite
File name for block output: PSO12/PSO(6,6)/Spin(10,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(6,6)/Spin(10,2)/mat.bin
File name for polynomial output: PSO12/PSO(6,6)/Spin(10,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin*(12)
+/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin*(12)
+/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin*(12)
+/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin*(12)
+/kllist
block: blockwrite
File name for block output: PSO12/PSO(6,6)/Spin*(12)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(6,6)/Spin*(12)+/mat.bin
File name for polynomial output: PSO12/PSO(6,6)/Spin*(12)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin*(12)
-/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin*(12)
-/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin*(12)
-/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin*(12)
-/kllist
block: blockwrite
File name for block output: PSO12/PSO(6,6)/Spin*(12)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(6,6)/Spin*(12)-/mat.bin
File name for polynomial output: PSO12/PSO(6,6)/Spin*(12)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin(8,4)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin(8,4)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin(8,4)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin(8,4)
/kllist
block: blockwrite
File name for block output: PSO12/PSO(6,6)/Spin(8,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(6,6)/Spin(8,4)/mat.bin
File name for polynomial output: PSO12/PSO(6,6)/Spin(8,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin(6,6)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin(6,6)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin(6,6)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(6,6)/Spin(6,6)
/kllist
block: blockwrite
File name for block output: PSO12/PSO(6,6)/Spin(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(6,6)/Spin(6,6)/mat.bin
File name for polynomial output: PSO12/PSO(6,6)/Spin(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO*(12)+
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)+/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)+/KGB
real: kgborder
kgbsize: 376
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)+/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
3: so*(12)[0,1]
5: so(6,6)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)+/Spin*(12
)-/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)+/Spin*(12
)-/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)+/Spin*(12
)-/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)+/Spin*(12
)-/kllist
block: blockwrite
File name for block output: PSO12/PSO*(12)+/Spin*(12)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO*(12)+/Spin*(12)-/mat.bin
File name for polynomial output: PSO12/PSO*(12)+/Spin*(12)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
3: so*(12)[0,1]
5: so(6,6)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)+/Spin(6,6
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)+/Spin(6,6
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)+/Spin(6,6
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)+/Spin(6,6
)/kllist
block: blockwrite
File name for block output: PSO12/PSO*(12)+/Spin(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO*(12)+/Spin(6,6)/mat.bin
File name for polynomial output: PSO12/PSO*(12)+/Spin(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO*(12)-
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(12)
1: so(10,2)
2: so*(12)[1,0]
3: so*(12)[0,1]
4: so(8,4)
5: so(6,6)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)-/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)-/KGB
real: kgborder
kgbsize: 376
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)-/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
2: so*(12)[1,0]
5: so(6,6)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)-/Spin*(12
)+/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)-/Spin*(12
)+/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)-/Spin*(12
)+/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)-/Spin*(12
)+/kllist
block: blockwrite
File name for block output: PSO12/PSO*(12)-/Spin*(12)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO*(12)-/Spin*(12)+/mat.bin
File name for polynomial output: PSO12/PSO*(12)-/Spin*(12)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so*(12)[1,0]
5: so(6,6)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)-/Spin(6,6
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)-/Spin(6,6
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)-/Spin(6,6
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO*(12)-/Spin(6,6
)/kllist
block: blockwrite
File name for block output: PSO12/PSO*(12)-/Spin(6,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO*(12)-/Spin(6,6)/mat.bin
File name for polynomial output: PSO12/PSO*(12)-/Spin(6,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(12,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D6.D6
elements of finite order in the center of the simply connected group:
Z/2.Z/2.Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: so(12,C)
Name an output file (return for stdout, ? to abandon): PSO12/PSO(12,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO12/PSO(12,C)/KGB
real: kgborder
kgbsize: 23040
Name an output file (return for stdout, ? to abandon): PSO12/PSO(12,C)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: so(12,C)
Name an output file (return for stdout, ? to abandon): PSO12/PSO(12,C)/Spin(12,
C)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO12/PSO(12,C)/Spin(12,
C)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO12/PSO(12,C)/Spin(12,
C)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO12/PSO(12,C)/Spin(12,
C)/kllist
block: blockwrite
File name for block output: PSO12/PSO(12,C)/Spin(12,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO12/PSO(12,C)/Spin(12,C)/mat.bin
File name for polynomial output: PSO12/PSO(12,C)/Spin(12,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(14)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PSO14/PSO(14)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO14/PSO(14)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): PSO14/PSO(14)/kgborder
real: block
there is a unique dual real form choice: so(7,7)
Name an output file (return for stdout, ? to abandon): PSO14/PSO(14)/Spin(7,7)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(14)/Spin(7,7)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(14)/Spin(7,7)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(14)/Spin(7,7)/
kllist
block: blockwrite
File name for block output: PSO14/PSO(14)/Spin(7,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(14)/Spin(7,7)/mat.bin
File name for polynomial output: PSO14/PSO(14)/Spin(7,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(13,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PSO14/PSO(13,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO14/PSO(13,1)/KGB
real: kgborder
kgbsize: 7
Name an output file (return for stdout, ? to abandon): PSO14/PSO(13,1)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: so(8,6)
Name an output file (return for stdout, ? to abandon): PSO14/PSO(13,1)/Spin(8,6
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(13,1)/Spin(8,6
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(13,1)/Spin(8,6
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(13,1)/Spin(8,6
)/kllist
block: blockwrite
File name for block output: PSO14/PSO(13,1)/Spin(8,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(13,1)/Spin(8,6)/mat.bin
File name for polynomial output: PSO14/PSO(13,1)/Spin(8,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(12,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PSO14/PSO(12,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO14/PSO(12,2)/KGB
real: kgborder
kgbsize: 70
Name an output file (return for stdout, ? to abandon): PSO14/PSO(12,2)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
2: so(9,5)
3: so(7,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO14/PSO(12,2)/Spin(9,5
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(12,2)/Spin(9,5
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(12,2)/Spin(9,5
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(12,2)/Spin(9,5
)/kllist
block: blockwrite
File name for block output: PSO14/PSO(12,2)/Spin(9,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(12,2)/Spin(9,5)/mat.bin
File name for polynomial output: PSO14/PSO(12,2)/Spin(9,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so(9,5)
3: so(7,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO14/PSO(12,2)/Spin(7,7
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(12,2)/Spin(7,7
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(12,2)/Spin(7,7
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(12,2)/Spin(7,7
)/kllist
block: blockwrite
File name for block output: PSO14/PSO(12,2)/Spin(7,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(12,2)/Spin(7,7)/mat.bin
File name for polynomial output: PSO14/PSO(12,2)/Spin(7,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(11,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PSO14/PSO(11,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO14/PSO(11,3)/KGB
real: kgborder
kgbsize: 287
Name an output file (return for stdout, ? to abandon): PSO14/PSO(11,3)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
3: so(10,4)
4: so(8,6)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO14/PSO(11,3)/Spin(10,
4)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(11,3)/Spin(10,
4)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(11,3)/Spin(10,
4)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(11,3)/Spin(10,
4)/kllist
block: blockwrite
File name for block output: PSO14/PSO(11,3)/Spin(10,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(11,3)/Spin(10,4)/mat.bin
File name for polynomial output: PSO14/PSO(11,3)/Spin(10,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
3: so(10,4)
4: so(8,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): PSO14/PSO(11,3)/Spin(8,6
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(11,3)/Spin(8,6
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(11,3)/Spin(8,6
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(11,3)/Spin(8,6
)/kllist
block: blockwrite
File name for block output: PSO14/PSO(11,3)/Spin(8,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(11,3)/Spin(8,6)/mat.bin
File name for polynomial output: PSO14/PSO(11,3)/Spin(8,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(10,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): PSO14/PSO(10,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO14/PSO(10,4)/KGB
real: kgborder
kgbsize: 1211
Name an output file (return for stdout, ? to abandon): PSO14/PSO(10,4)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO14/PSO(10,4)/Spin(11,
3)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(10,4)/Spin(11,
3)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(10,4)/Spin(11,
3)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(10,4)/Spin(11,
3)/kllist
block: blockwrite
File name for block output: PSO14/PSO(10,4)/Spin(11,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(10,4)/Spin(11,3)/mat.bin
File name for polynomial output: PSO14/PSO(10,4)/Spin(11,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO14/PSO(10,4)/Spin(9,5
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(10,4)/Spin(9,5
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(10,4)/Spin(9,5
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(10,4)/Spin(9,5
)/kllist
block: blockwrite
File name for block output: PSO14/PSO(10,4)/Spin(9,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(10,4)/Spin(9,5)/mat.bin
File name for polynomial output: PSO14/PSO(10,4)/Spin(9,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO14/PSO(10,4)/Spin(7,7
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(10,4)/Spin(7,7
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(10,4)/Spin(7,7
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(10,4)/Spin(7,7
)/kllist
block: blockwrite
File name for block output: PSO14/PSO(10,4)/Spin(7,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(10,4)/Spin(7,7)/mat.bin
File name for polynomial output: PSO14/PSO(10,4)/Spin(7,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(9,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PSO14/PSO(9,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO14/PSO(9,5)/KGB
real: kgborder
kgbsize: 2786
Name an output file (return for stdout, ? to abandon): PSO14/PSO(9,5)/kgborder
real: block
possible (weak) dual real forms are:
1: so(12,2)
3: so(10,4)
4: so(8,6)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO14/PSO(9,5)/Spin(12,2
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(9,5)/Spin(12,2
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(9,5)/Spin(12,2
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(9,5)/Spin(12,2
)/kllist
block: blockwrite
File name for block output: PSO14/PSO(9,5)/Spin(12,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(9,5)/Spin(12,2)/mat.bin
File name for polynomial output: PSO14/PSO(9,5)/Spin(12,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(12,2)
3: so(10,4)
4: so(8,6)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO14/PSO(9,5)/Spin(10,4
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(9,5)/Spin(10,4
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(9,5)/Spin(10,4
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(9,5)/Spin(10,4
)/kllist
block: blockwrite
File name for block output: PSO14/PSO(9,5)/Spin(10,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(9,5)/Spin(10,4)/mat.bin
File name for polynomial output: PSO14/PSO(9,5)/Spin(10,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(12,2)
3: so(10,4)
4: so(8,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): PSO14/PSO(9,5)/Spin(8,6)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(9,5)/Spin(8,6)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(9,5)/Spin(8,6)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(9,5)/Spin(8,6)
/kllist
block: blockwrite
File name for block output: PSO14/PSO(9,5)/Spin(8,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(9,5)/Spin(8,6)/mat.bin
File name for polynomial output: PSO14/PSO(9,5)/Spin(8,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(8,6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main:
main: realform
(weak) real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/KGB
real: kgborder
kgbsize: 5607
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/kgborder
real: block
possible (weak) dual real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/Spin(13,1
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/Spin(13,1
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/Spin(13,1
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/Spin(13,1
)/kllist
block: blockwrite
File name for block output: PSO14/PSO(8,6)/Spin(13,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(8,6)/Spin(13,1)/mat.bin
File name for polynomial output: PSO14/PSO(8,6)/Spin(13,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/Spin(11,3
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/Spin(11,3
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/Spin(11,3
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/Spin(11,3
)/kllist
block: blockwrite
File name for block output: PSO14/PSO(8,6)/Spin(11,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(8,6)/Spin(11,3)/mat.bin
File name for polynomial output: PSO14/PSO(8,6)/Spin(11,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/Spin(9,5)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/Spin(9,5)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/Spin(9,5)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/Spin(9,5)
/kllist
block: blockwrite
File name for block output: PSO14/PSO(8,6)/Spin(9,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(8,6)/Spin(9,5)/mat.bin
File name for polynomial output: PSO14/PSO(8,6)/Spin(9,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/Spin(7,7)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/Spin(7,7)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/Spin(7,7)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(8,6)/Spin(7,7)
/kllist
block: blockwrite
File name for block output: PSO14/PSO(8,6)/Spin(7,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(8,6)/Spin(7,7)/mat.bin
File name for polynomial output: PSO14/PSO(8,6)/Spin(7,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(7,7)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): s
main: realform
(weak) real forms are:
0: so(13,1)
1: so(11,3)
2: so(9,5)
3: so(7,7)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/KGB
real: kgborder
kgbsize: 3809
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/kgborder
real: block
possible (weak) dual real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/Spin(14)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/Spin(14)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/Spin(14)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/Spin(14)/
kllist
block: blockwrite
File name for block output: PSO14/PSO(7,7)/Spin(14)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(7,7)/Spin(14)/mat.bin
File name for polynomial output: PSO14/PSO(7,7)/Spin(14)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/Spin(12,2
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/Spin(12,2
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/Spin(12,2
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/Spin(12,2
)/kllist
block: blockwrite
File name for block output: PSO14/PSO(7,7)/Spin(12,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(7,7)/Spin(12,2)/mat.bin
File name for polynomial output: PSO14/PSO(7,7)/Spin(12,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/Spin*(14)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/Spin*(14)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/Spin*(14)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/Spin*(14)
/kllist
block: blockwrite
File name for block output: PSO14/PSO(7,7)/Spin*(14)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(7,7)/Spin*(14)/mat.bin
File name for polynomial output: PSO14/PSO(7,7)/Spin*(14)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/SO(10,4)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/SO(10,4)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/SO(10,4)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/SO(10,4)/
kllist
block: blockwrite
File name for block output: PSO14/PSO(7,7)/SO(10,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(7,7)/SO(10,4)/mat.bin
File name for polynomial output: PSO14/PSO(7,7)/SO(10,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/Spin(8,6)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/Spin(8,6)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/Spin(8,6)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(7,7)/Spin(8,6)
/kllist
block: blockwrite
File name for block output: PSO14/PSO(7,7)/Spin(8,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(7,7)/Spin(8,6)/mat.bin
File name for polynomial output: PSO14/PSO(7,7)/Spin(8,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO*(14)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7
elements of finite order in the center of the simply connected group:
Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(14)
1: so(12,2)
2: so*(14)
3: so(10,4)
4: so(8,6)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PSO14/PSO*(14)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO14/PSO*(14)/KGB
real: kgborder
kgbsize: 3256
Name an output file (return for stdout, ? to abandon): PSO14/PSO*(14)/kgborder
real: block
there is a unique dual real form choice: so(7,7)
Name an output file (return for stdout, ? to abandon): PSO14/PSO*(14)/Spin(7,7)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO*(14)/Spin(7,7)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO*(14)/Spin(7,7)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO*(14)/Spin(7,7)
/kllist
block: blockwrite
File name for block output: PSO14/PSO*(14)/Spin(7,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO*(14)/Spin(7,7)/mat.bin
File name for polynomial output: PSO14/PSO*(14)/Spin(7,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(14,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D7.D7
elements of finite order in the center of the simply connected group:
Z/4.Z/4
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: so(14,C)
Name an output file (return for stdout, ? to abandon): PSO14/PSO(14,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO14/PSO(14,C)/KGB
real: kgborder
kgbsize: 322560
Name an output file (return for stdout, ? to abandon): PSO14/PSO(14,C)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: so(14,C)
Name an output file (return for stdout, ? to abandon): PSO14/PSO(14,C)/Spin(14,
C)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO14/PSO(14,C)/Spin(14,
C)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO14/PSO(14,C)/Spin(14,
C)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO14/PSO(14,C)/Spin(14,
C)/kllist
block: blockwrite
File name for block output: PSO14/PSO(14,C)/Spin(14,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO14/PSO(14,C)/Spin(14,C)/mat.bin
File name for polynomial output: PSO14/PSO(14,C)/Spin(14,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(16)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PSO16/PSO(16)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO16/PSO(16)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): PSO16/PSO(16)/kgborder
real: block
there is a unique dual real form choice: so(8,8)
Name an output file (return for stdout, ? to abandon): PSO16/PSO(16)/Spin(8,8)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(16)/Spin(8,8)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(16)/Spin(8,8)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(16)/Spin(8,8)/
kllist
block: blockwrite
File name for block output: PSO16/PSO(16)/Spin(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(16)/Spin(8,8)/mat.bin
File name for polynomial output: PSO16/PSO(16)/Spin(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(15,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): PSO16/PSO(15,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO16/PSO(15,1)/KGB
real: kgborder
kgbsize: 8
Name an output file (return for stdout, ? to abandon): PSO16/PSO(15,1)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
there is a unique dual real form choice: so(9,7)
Name an output file (return for stdout, ? to abandon): PSO16/PSO(15,1)/Spin(9,7
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(15,1)/Spin(9,7
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(15,1)/Spin(9,7
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(15,1)/Spin(9,7
)/kllist
block: blockwrite
File name for block output: PSO16/PSO(15,1)/Spin(9,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(15,1)/Spin(9,7)/mat.bin
File name for polynomial output: PSO16/PSO(15,1)/Spin(9,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(14,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PSO16/PSO(14,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO16/PSO(14,2)/KGB
real: kgborder
kgbsize: 92
Name an output file (return for stdout, ? to abandon): PSO16/PSO(14,2)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
5: so(10,6)
6: so(8,8)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): PSO16/PSO(14,2)/Spin(10,
6)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(14,2)/Spin(10,
6)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(14,2)/Spin(10,
6)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(14,2)/Spin(10,
6)/kllist
block: blockwrite
File name for block output: PSO16/PSO(14,2)/Spin(10,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(14,2)/Spin(10,6)/mat.bin
File name for polynomial output: PSO16/PSO(14,2)/Spin(10,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
5: so(10,6)
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): PSO16/PSO(14,2)/Spin(8,8
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(14,2)/Spin(8,8
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(14,2)/Spin(8,8
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(14,2)/Spin(8,8
)/kllist
block: blockwrite
File name for block output: PSO16/PSO(14,2)/Spin(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(14,2)/Spin(8,8)/mat.bin
File name for polynomial output: PSO16/PSO(14,2)/Spin(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(13,3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): PSO16/PSO(13,3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO16/PSO(13,3)/KGB
real: kgborder
kgbsize: 448
Name an output file (return for stdout, ? to abandon): PSO16/PSO(13,3)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
2: so(11,5)
3: so(9,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO16/PSO(13,3)/Spin(11,
5)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(13,3)/Spin(11,
5)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(13,3)/Spin(11,
5)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(13,3)/Spin(11,
5)/kllist
block: blockwrite
File name for block output: PSO16/PSO(13,3)/Spin(11,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(13,3)/Spin(11,5)/mat.bin
File name for polynomial output: PSO16/PSO(13,3)/Spin(11,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so(11,5)
3: so(9,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO16/PSO(13,3)/Spin(9,7
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(13,3)/Spin(9,7
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(13,3)/Spin(9,7
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(13,3)/Spin(9,7
)/kllist
block: blockwrite
File name for block output: PSO16/PSO(13,3)/Spin(9,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(13,3)/Spin(9,7)/mat.bin
File name for polynomial output: PSO16/PSO(13,3)/Spin(9,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(12,4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PSO16/PSO(12,4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO16/PSO(12,4)/KGB
real: kgborder
kgbsize: 2282
Name an output file (return for stdout, ? to abandon): PSO16/PSO(12,4)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO16/PSO(12,4)/Spin(12,
4)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(12,4)/Spin(12,
4)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(12,4)/Spin(12,
4)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(12,4)/Spin(12,
4)/kllist
block: blockwrite
File name for block output: PSO16/PSO(12,4)/Spin(12,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(12,4)/Spin(12,4)/mat.bin
File name for polynomial output: PSO16/PSO(12,4)/Spin(12,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): PSO16/PSO(12,4)/Spin(10,
6)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(12,4)/Spin(10,
6)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(12,4)/Spin(10,
6)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(12,4)/Spin(10,
6)/kllist
block: blockwrite
File name for block output: PSO16/PSO(12,4)/Spin(10,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(12,4)/Spin(10,6)/mat.bin
File name for polynomial output: PSO16/PSO(12,4)/Spin(10,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): PSO16/PSO(12,4)/Spin(8,8
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(12,4)/Spin(8,8
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(12,4)/Spin(8,8
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(12,4)/Spin(8,8
)/kllist
block: blockwrite
File name for block output: PSO16/PSO(12,4)/Spin(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(12,4)/Spin(8,8)/mat.bin
File name for polynomial output: PSO16/PSO(12,4)/Spin(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(11,5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): PSO16/PSO(11,5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO16/PSO(11,5)/KGB
real: kgborder
kgbsize: 6664
Name an output file (return for stdout, ? to abandon): PSO16/PSO(11,5)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO16/PSO(11,5)/Spin(13,
3)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(11,5)/Spin(13,
3)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(11,5)/Spin(13,
3)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(11,5)/Spin(13,
3)/kllist
block: blockwrite
File name for block output: PSO16/PSO(11,5)/Spin(13,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(11,5)/Spin(13,3)/mat.bin
File name for polynomial output: PSO16/PSO(11,5)/Spin(13,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO16/PSO(11,5)/Spin(11,
5)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(11,5)/Spin(11,
5)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(11,5)/Spin(11,
5)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(11,5)/Spin(11,
5)/kllist
block: blockwrite
File name for block output: PSO16/PSO(11,5)/Spin(11,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(11,5)/Spin(11,5)/mat.bin
File name for polynomial output: PSO16/PSO(11,5)/Spin(11,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO16/PSO(11,5)/Spin(9,7
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(11,5)/Spin(9,7
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(11,5)/Spin(9,7
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(11,5)/Spin(9,7
)/kllist
block: blockwrite
File name for block output: PSO16/PSO(11,5)/Spin(9,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(11,5)/Spin(9,7)/mat.bin
File name for polynomial output: PSO16/PSO(11,5)/Spin(9,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(10,6)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 5
real: cartan
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/KGB
real: kgborder
kgbsize: 17584
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
1: so(14,2)
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/Spin(14,
2)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/Spin(14,
2)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/Spin(14,
2)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/Spin(14,
2)/kllist
block: blockwrite
File name for block output: PSO16/PSO(10,6)/Spin(14,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(10,6)/Spin(14,2)/mat.bin
File name for polynomial output: PSO16/PSO(10,6)/Spin(14,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(14,2)
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/Spin(12,
4)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/Spin(12,
4)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/Spin(12,
4)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/Spin(12,
4)/kllist
block: blockwrite
File name for block output: PSO16/PSO(10,6)/Spin(12,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(10,6)/Spin(12,4)/mat.bin
File name for polynomial output: PSO16/PSO(10,6)/Spin(12,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(14,2)
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/Spin(10,
6)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/Spin(10,
6)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/Spin(10,
6)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/Spin(10,
6)/kllist
block: blockwrite
File name for block output: PSO16/PSO(10,6)/Spin(10,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(10,6)/Spin(10,6)/mat.bin
File name for polynomial output: PSO16/PSO(10,6)/Spin(10,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
1: so(14,2)
2: so(12,4)
5: so(10,6)
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/Spin(8,8
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/Spin(8,8
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/Spin(8,8
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(10,6)/Spin(8,8
)/kllist
block: blockwrite
File name for block output: PSO16/PSO(10,6)/Spin(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(10,6)/Spin(8,8)/mat.bin
File name for polynomial output: PSO16/PSO(10,6)/Spin(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(9,7)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): u
main: realform
(weak) real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/KGB
real: kgborder
kgbsize: 28232
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/kgborder
real: block
possible (weak) dual real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/Spin(15,1
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/Spin(15,1
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/Spin(15,1
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/Spin(15,1
)/kllist
block: blockwrite
File name for block output: PSO16/PSO(9,7)/Spin(15,1)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(9,7)/Spin(15,1)/mat.bin
File name for polynomial output: PSO16/PSO(9,7)/Spin(15,1)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/Spin(13,3
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/Spin(13,3
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/Spin(13,3
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/Spin(13,3
)/kllist
block: blockwrite
File name for block output: PSO16/PSO(9,7)/Spin(13,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(9,7)/Spin(13,3)/mat.bin
File name for polynomial output: PSO16/PSO(9,7)/Spin(13,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/Spin(11,5
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/Spin(11,5
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/Spin(11,5
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/Spin(11,5
)/kllist
block: blockwrite
File name for block output: PSO16/PSO(9,7)/Spin(11,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(9,7)/Spin(11,5)/mat.bin
File name for polynomial output: PSO16/PSO(9,7)/Spin(11,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(15,1)
1: so(13,3)
2: so(11,5)
3: so(9,7)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/Spin(9,7)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/Spin(9,7)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/Spin(9,7)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(9,7)/Spin(9,7)
/kllist
block: blockwrite
File name for block output: PSO16/PSO(9,7)/Spin(9,7)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(9,7)/Spin(9,7)/mat.bin
File name for polynomial output: PSO16/PSO(9,7)/Spin(9,7)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(8,8)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 6
real: cartan
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/KGB
real: kgborder
kgbsize: 21330
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/kgborder
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 0
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(16)/
block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(16)/
wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(16)/
wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(16)/
kllist
block: blockwrite
File name for block output: PSO16/PSO(8,8)/Spin(16)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(8,8)/Spin(16)/mat.bin
File name for polynomial output: PSO16/PSO(8,8)/Spin(16)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 1
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(14,2
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(14,2
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(14,2
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(14,2
)/kllist
block: blockwrite
File name for block output: PSO16/PSO(8,8)/Spin(14,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(8,8)/Spin(14,2)/mat.bin
File name for polynomial output: PSO16/PSO(8,8)/Spin(14,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 2
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(12,4
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(12,4
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(12,4
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(12,4
)/kllist
block: blockwrite
File name for block output: PSO16/PSO(8,8)/Spin(12,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(8,8)/Spin(12,4)/mat.bin
File name for polynomial output: PSO16/PSO(8,8)/Spin(12,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin*(16)
+/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin*(16)
+/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin*(16)
+/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin*(16)
+/kllist
block: blockwrite
File name for block output: PSO16/PSO(8,8)/Spin*(16)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(8,8)/Spin*(16)+/mat.bin
File name for polynomial output: PSO16/PSO(8,8)/Spin*(16)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin*(16)
-/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin*(16)
-/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin*(16)
-/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin*(16)
-/kllist
block: blockwrite
File name for block output: PSO16/PSO(8,8)/Spin*(16)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(8,8)/Spin*(16)-/mat.bin
File name for polynomial output: PSO16/PSO(8,8)/Spin*(16)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 5
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(10,6
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(10,6
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(10,6
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(10,6
)/kllist
block: blockwrite
File name for block output: PSO16/PSO(8,8)/Spin(10,6)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(8,8)/Spin(10,6)/mat.bin
File name for polynomial output: PSO16/PSO(8,8)/Spin(10,6)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(8,8)
/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(8,8)
/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(8,8)
/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO(8,8)/Spin(8,8)
/kllist
block: blockwrite
File name for block output: PSO16/PSO(8,8)/Spin(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO(8,8)/Spin(8,8)/mat.bin
File name for polynomial output: PSO16/PSO(8,8)/Spin(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO*(16)+
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)+/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)+/KGB
real: kgborder
kgbsize: 8520
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)+/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
3: so*(16)[0,1]
6: so(8,8)
enter your choice: 3
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)+/Spin*(16
)+/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)+/Spin*(16
)+/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)+/Spin*(16
)+/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)+/Spin*(16
)+/kllist
block: blockwrite
File name for block output: PSO16/PSO*(16)+/Spin*(16)+/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO*(16)+/Spin*(16)+/mat.bin
File name for polynomial output: PSO16/PSO*(16)+/Spin*(16)+/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
3: so*(16)[0,1]
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)+/Spin(8,8
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)+/Spin(8,8
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)+/Spin(8,8
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)+/Spin(8,8
)/kllist
block: blockwrite
File name for block output: PSO16/PSO*(16)+/Spin(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO*(16)+/Spin(8,8)/mat.bin
File name for polynomial output: PSO16/PSO*(16)+/Spin(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO*(16)-
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): c
main: realform
(weak) real forms are:
0: so(16)
1: so(14,2)
2: so(12,4)
3: so*(16)[0,1]
4: so*(16)[1,0]
5: so(10,6)
6: so(8,8)
enter your choice: 4
real: cartan
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)-/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)-/KGB
real: kgborder
kgbsize: 8520
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)-/kgborder
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kr
real: block
possible (weak) dual real forms are:
4: so*(16)[1,0]
6: so(8,8)
enter your choice: 4
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)-/Spin*(16
)-/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)-/Spin*(16
)-/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)-/Spin*(16
)-/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)-/Spin*(16
)-/kllist
block: blockwrite
File name for block output: PSO16/PSO*(16)-/Spin*(16)-/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO*(16)-/Spin*(16)-/mat.bin
File name for polynomial output: PSO16/PSO*(16)-/Spin*(16)-/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: block
possible (weak) dual real forms are:
4: so*(16)[1,0]
6: so(8,8)
enter your choice: 6
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)-/Spin(8,8
)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)-/Spin(8,8
)/wgraph
block: wcells
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)-/Spin(8,8
)/wcells
block: kllist
Name an output file (return for stdout, ? to abandon): PSO16/PSO*(16)-/Spin(8,8
)/kllist
block: blockwrite
File name for block output: PSO16/PSO*(16)-/Spin(8,8)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: PSO16/PSO*(16)-/Spin(8,8)/mat.bin
File name for polynomial output: PSO16/PSO*(16)-/Spin(8,8)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
PSO(16,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: D8.D8
elements of finite order in the center of the simply connected group:
Z/2.Z/2.Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
ad
enter inner class(es): C
main: cartan
there is a unique real form: so(16,C)
Name an output file (return for stdout, ? to abandon): PSO16/PSO(16,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): PSO16/PSO(16,C)/KGB
real: ?
?: not found
real: qq
Sp(2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C2
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sp(2)
1: sp(1,1)
2: sp(4,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Sp4/Sp(2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp4/Sp(2)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Sp4/Sp(2)/kgborder
real: block
there is a unique dual real form choice: so(3,2)
Name an output file (return for stdout, ? to abandon): Sp4/Sp(2)/SO(3,2)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Sp4/Sp(2)/SO(3,2)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): Sp4/Sp(2)/SO(3,2)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): Sp4/Sp(2)/SO(3,2)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: Sp4/Sp(2)/SO(3,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Sp4/Sp(2)/SO(3,2)/mat.bin
File name for polynomial output: Sp4/Sp(2)/SO(3,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Sp(1,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C2
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sp(2)
1: sp(1,1)
2: sp(4,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Sp4/Sp(1,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp4/Sp(1,1)/KGB
real: kgborder
kgbsize: 4
Name an output file (return for stdout, ? to abandon): Sp4/Sp(1,1)/kgborder
real: block
there is a unique dual real form choice: so(3,2)
Name an output file (return for stdout, ? to abandon): Sp4/Sp(1,1)/SO(3,2)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): Sp4/Sp(1,1)/SO(3,2)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): Sp4/Sp(1,1)/SO(3,2)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): Sp4/Sp(1,1)/SO(3,2)/klli
st
block: blockwrite
File name for block output: Sp4/Sp(1,1)/SO(3,2)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Sp4/Sp(1,1)/SO(3,2)/mat.bin
File name for polynomial output: Sp4/Sp(1,1)/SO(3,2)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Sp(4,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C2
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sp(2)
1: sp(1,1)
2: sp(4,R)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Sp4/Sp(4,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp4/Sp(4,R)/KGB
real: kgborder
kgbsize: 11
Name an output file (return for stdout, ? to abandon): Sp4/Sp(4,R)/kgborder
real: block
possible (weak) dual real forms are:
0: so(5)
1: so(4,1)
2: so(3,2)
enter your choice: Sp(4,R)
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(5)/block
sorry, value must be one of 0,1,2
try again (? to abort): wgraph
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(5)/wgraph
sorry, value must be one of 0,1,2
try again (? to abort): wcells
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(5)/wcells
sorry, value must be one of 0,1,2
try again (? to abort): kllist
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(5)/kllist
sorry, value must be one of 0,1,2
try again (? to abort): blockwrite
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(5)/blk.bin
sorry, value must be one of 0,1,2
try again (? to abort): klwrite
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(5)/mat.bin
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(5)/pol.bin
sorry, value must be one of 0,1,2
try again (? to abort): q
sorry, value must be one of 0,1,2
try again (? to abort): block
sorry, value must be one of 0,1,2
try again (? to abort): Sp(4,R)
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(4,1)/block
sorry, value must be one of 0,1,2
try again (? to abort): wgraph
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(4,1)/wgraph
sorry, value must be one of 0,1,2
try again (? to abort): wcells
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(4,1)/wcells
sorry, value must be one of 0,1,2
try again (? to abort): kllist
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(4,1)/kllist
sorry, value must be one of 0,1,2
try again (? to abort): blockwrite
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(4,1)/blk.bin
sorry, value must be one of 0,1,2
try again (? to abort): klwrite
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(4,1)/mat.bin
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(4,1)/pol.bin
sorry, value must be one of 0,1,2
try again (? to abort): q
sorry, value must be one of 0,1,2
try again (? to abort): block
sorry, value must be one of 0,1,2
try again (? to abort): Sp(4,R)
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(3,2)/block
sorry, value must be one of 0,1,2
try again (? to abort): wgraph
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(3,2)/wgraph
sorry, value must be one of 0,1,2
try again (? to abort): wcells
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(3,2)/wcells
sorry, value must be one of 0,1,2
try again (? to abort): kllist
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(3,2)/kllist
sorry, value must be one of 0,1,2
try again (? to abort): blockwrite
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(3,2)/blk.bin
sorry, value must be one of 0,1,2
try again (? to abort): klwrite
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(3,2)/mat.bin
sorry, value must be one of 0,1,2
try again (? to abort): Sp4/Sp(4,R)/SO(3,2)/pol.bin
sorry, value must be one of 0,1,2
try again (? to abort): q
sorry, value must be one of 0,1,2
try again (? to abort): ?
no dual real form set
real: qq
Sp(4,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C2.C2
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: sp(4,C)
Name an output file (return for stdout, ? to abandon): Sp4/Sp(4,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp4/Sp(4,C)/KGB
real: kgborder
kgbsize: 8
Name an output file (return for stdout, ? to abandon): Sp4/Sp(4,C)/kgborder
real: block
there is a unique dual real form choice: so(5,C)
Name an output file (return for stdout, ? to abandon): Sp4/Sp(4,C)/SO(5,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): Sp4/Sp(4,C)/SO(5,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): Sp4/Sp(4,C)/SO(5,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): Sp4/Sp(4,C)/SO(5,C)/klli
st
block: blockwrite
File name for block output: Sp4/Sp(4,C)/SO(5,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Sp4/Sp(4,C)/SO(5,C)/mat.bin
File name for polynomial output: Sp4/Sp(4,C)/SO(5,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Sp(3)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C3
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sp(3)
1: sp(2,1)
2: sp(6,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Sp6/Sp(3)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp6/Sp(3)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Sp6/Sp(3)/kgborder
real: block
there is a unique dual real form choice: so(4,3)
Name an output file (return for stdout, ? to abandon): Sp6/Sp(3)/SO(4,3)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Sp6/Sp(3)/SO(4,3)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): Sp6/Sp(3)/SO(4,3)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): Sp6/Sp(3)/SO(4,3)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: Sp6/Sp(3)/SO(4,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Sp6/Sp(3)/SO(4,3)/mat.bin
File name for polynomial output: Sp6/Sp(3)/SO(4,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Sp(2,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C3
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sp(3)
1: sp(2,1)
2: sp(6,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Sp6/Sp(2,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp6/Sp(2,1)/KGB
real: kgborder
kgbsize: 9
Name an output file (return for stdout, ? to abandon): Sp6/Sp(2,1)/kgborder
real: block
there is a unique dual real form choice: so(4,3)
Name an output file (return for stdout, ? to abandon): Sp6/Sp(2,1)/SO(4,3)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): Sp6/Sp(2,1)/SO(4,3)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): Sp6/Sp(2,1)/SO(4,3)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): Sp6/Sp(2,1)/SO(4,3)/klli
st
block: blockwrite
File name for block output: Sp6/Sp(2,1)/SO(4,3)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Sp6/Sp(2,1)/SO(4,3)/mat.bin
File name for polynomial output: Sp6/Sp(2,1)/SO(4,3)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Sp(6,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C3
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sp(3)
1: sp(2,1)
2: sp(6,R)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Sp6/Sp(6,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp6/Sp(6,R)/KGB
real: kgborder
kgbsize: 45
Name an output file (return for stdout, ? to abandon): Sp6/Sp(6,R)/kgborder
real: block
possible (weak) dual real forms are:
0: so(7)
1: so(6,1)
2: so(5,2)
3: so(4,3)
enter your choice: Sp(6,R)
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(7)/block
sorry, value must be one of 0,1,2,3
try again (? to abort): wgraph
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(7)/wgraph
sorry, value must be one of 0,1,2,3
try again (? to abort): wcells
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(7)/wcells
sorry, value must be one of 0,1,2,3
try again (? to abort): kllist
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(7)/kllist
sorry, value must be one of 0,1,2,3
try again (? to abort): blockwrite
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(7)/blk.bin
sorry, value must be one of 0,1,2,3
try again (? to abort): klwrite
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(7)/mat.bin
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(7)/pol.bin
sorry, value must be one of 0,1,2,3
try again (? to abort): q
sorry, value must be one of 0,1,2,3
try again (? to abort): block
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp(6,R)
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(6,1)/block
sorry, value must be one of 0,1,2,3
try again (? to abort): wgraph
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(6,1)/wgraph
sorry, value must be one of 0,1,2,3
try again (? to abort): wcells
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(6,1)/wcells
sorry, value must be one of 0,1,2,3
try again (? to abort): kllist
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(6,1)/kllist
sorry, value must be one of 0,1,2,3
try again (? to abort): blockwrite
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(6,1)/blk.bin
sorry, value must be one of 0,1,2,3
try again (? to abort): klwrite
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(6,1)/mat.bin
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(6,1)/pol.bin
sorry, value must be one of 0,1,2,3
try again (? to abort): q
sorry, value must be one of 0,1,2,3
try again (? to abort): block
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp(6,R)
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(5,2)/block
sorry, value must be one of 0,1,2,3
try again (? to abort): wgraph
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(5,2)/wgraph
sorry, value must be one of 0,1,2,3
try again (? to abort): wcells
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(5,2)/wcells
sorry, value must be one of 0,1,2,3
try again (? to abort): kllist
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(5,2)/kllist
sorry, value must be one of 0,1,2,3
try again (? to abort): blockwrite
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(5,2)/blk.bin
sorry, value must be one of 0,1,2,3
try again (? to abort): klwrite
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(5,2)/mat.bin
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(5,2)/pol.bin
sorry, value must be one of 0,1,2,3
try again (? to abort): q
sorry, value must be one of 0,1,2,3
try again (? to abort): block
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp(6,R)
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(4,3)/block
sorry, value must be one of 0,1,2,3
try again (? to abort): wgraph
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(4,3)/wgraph
sorry, value must be one of 0,1,2,3
try again (? to abort): wcells
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(4,3)/wcells
sorry, value must be one of 0,1,2,3
try again (? to abort): kllist
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(4,3)/kllist
sorry, value must be one of 0,1,2,3
try again (? to abort): blockwrite
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(4,3)/blk.bin
sorry, value must be one of 0,1,2,3
try again (? to abort): klwrite
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(4,3)/mat.bin
sorry, value must be one of 0,1,2,3
try again (? to abort): Sp6/Sp(6,R)/SO(4,3)/pol.bin
sorry, value must be one of 0,1,2,3
try again (? to abort): q
sorry, value must be one of 0,1,2,3
try again (? to abort): ?
no dual real form set
real: qq
Sp(6,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C3.C3
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: sp(6,C)
Name an output file (return for stdout, ? to abandon): Sp6/Sp(6,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp6/Sp(6,C)/KGB
real: kgborder
kgbsize: 48
Name an output file (return for stdout, ? to abandon): Sp6/Sp(6,C)/kgborder
real: block
there is a unique dual real form choice: so(7,C)
Name an output file (return for stdout, ? to abandon): Sp6/Sp(6,C)/SO(7,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): Sp6/Sp(6,C)/SO(7,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): Sp6/Sp(6,C)/SO(7,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): Sp6/Sp(6,C)/SO(7,C)/klli
st
block: blockwrite
File name for block output: Sp6/Sp(6,C)/SO(7,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Sp6/Sp(6,C)/SO(7,C)/mat.bin
File name for polynomial output: Sp6/Sp(6,C)/SO(7,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Sp(4)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C4
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sp(4)
1: sp(3,1)
2: sp(2,2)
3: sp(8,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Sp8/Sp(4)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp8/Sp(4)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Sp8/Sp(4)/kgborder
real: block
there is a unique dual real form choice: so(5,4)
Name an output file (return for stdout, ? to abandon): Sp8/Sp(4)/SO(5,4)/block
block: wgraph
Name an output file (return for stdout, ? to abandon): Sp8/Sp(4)/SO(5,4)/wgraph
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kh
block: wcells
Name an output file (return for stdout, ? to abandon): Sp8/Sp(4)/SO(5,4)/wcells
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Ks
block: kllist
Name an output file (return for stdout, ? to abandon): Sp8/Sp(4)/SO(5,4)/kllist
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kt
block: blockwrite
File name for block output: Sp8/Sp(4)/SO(5,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Sp8/Sp(4)/SO(5,4)/mat.bin
File name for polynomial output: Sp8/Sp(4)/SO(5,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Sp(3,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C4
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sp(4)
1: sp(3,1)
2: sp(2,2)
3: sp(8,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Sp8/Sp(3,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp8/Sp(3,1)/KGB
real: kgborder
kgbsize: 16
Name an output file (return for stdout, ? to abandon): Sp8/Sp(3,1)/kgborder
real: block
there is a unique dual real form choice: so(5,4)
Name an output file (return for stdout, ? to abandon): Sp8/Sp(3,1)/SO(5,4)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): Sp8/Sp(3,1)/SO(5,4)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): Sp8/Sp(3,1)/SO(5,4)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): Sp8/Sp(3,1)/SO(5,4)/klli
st
block: blockwrite
File name for block output: Sp8/Sp(3,1)/SO(5,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Sp8/Sp(3,1)/SO(5,4)/mat.bin
File name for polynomial output: Sp8/Sp(3,1)/SO(5,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Sp(2,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C4
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sp(4)
1: sp(3,1)
2: sp(2,2)
3: sp(8,R)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Sp8/Sp(2,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp8/Sp(2,2)/KGB
real: kgborder
kgbsize: 42
Name an output file (return for stdout, ? to abandon): Sp8/Sp(2,2)/kgborder
real: block
there is a unique dual real form choice: so(5,4)
Name an output file (return for stdout, ? to abandon): Sp8/Sp(2,2)/SO(5,4)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): Sp8/Sp(2,2)/SO(5,4)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): Sp8/Sp(2,2)/SO(5,4)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): Sp8/Sp(2,2)/SO(5,4)/klli
st
block: blockwrite
File name for block output: Sp8/Sp(2,2)/SO(5,4)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Sp8/Sp(2,2)/SO(5,4)/mat.bin
File name for polynomial output: Sp8/Sp(2,2)/SO(5,4)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Sp(8,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C4
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sp(4)
1: sp(3,1)
2: sp(2,2)
3: sp(8,R)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): Sp8/Sp(8,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp8/Sp(8,R)/KGB
real: kgborder
kgbsize: 201
Name an output file (return for stdout, ? to abandon): Sp8/Sp(8,R)/kgborder
real: block
possible (weak) dual real forms are:
0: so(9)
1: so(8,1)
2: so(7,2)
3: so(6,3)
4: so(5,4)
enter your choice: Sp(8,R)
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(9)/block
sorry, value must be one of 0,1,2,3,4
try again (? to abort): wgraph
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(9)/wgraph
sorry, value must be one of 0,1,2,3,4
try again (? to abort): wcells
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(9)/wcells
sorry, value must be one of 0,1,2,3,4
try again (? to abort): kllist
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(9)/kllist
sorry, value must be one of 0,1,2,3,4
try again (? to abort): blockwrite
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(9)/blk.bin
sorry, value must be one of 0,1,2,3,4
try again (? to abort): klwrite
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(9)/mat.bin
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(9)/pol.bin
sorry, value must be one of 0,1,2,3,4
try again (? to abort): q
sorry, value must be one of 0,1,2,3,4
try again (? to abort): block
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp(8,R)
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(8,1)/block
sorry, value must be one of 0,1,2,3,4
try again (? to abort): wgraph
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(8,1)/wgraph
sorry, value must be one of 0,1,2,3,4
try again (? to abort): wcells
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(8,1)/wcells
sorry, value must be one of 0,1,2,3,4
try again (? to abort): kllist
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(8,1)/kllist
sorry, value must be one of 0,1,2,3,4
try again (? to abort): blockwrite
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(8,1)/blk.bin
sorry, value must be one of 0,1,2,3,4
try again (? to abort): klwrite
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(8,1)/mat.bin
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(8,1)/pol.bin
sorry, value must be one of 0,1,2,3,4
try again (? to abort): q
sorry, value must be one of 0,1,2,3,4
try again (? to abort): block
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp(8,R)
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(7,2)/block
sorry, value must be one of 0,1,2,3,4
try again (? to abort): wgraph
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(7,2)/wgraph
sorry, value must be one of 0,1,2,3,4
try again (? to abort): wcells
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(7,2)/wcells
sorry, value must be one of 0,1,2,3,4
try again (? to abort): kllist
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(7,2)/kllist
sorry, value must be one of 0,1,2,3,4
try again (? to abort): blockwrite
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(7,2)/blk.bin
sorry, value must be one of 0,1,2,3,4
try again (? to abort): klwrite
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(7,2)/mat.bin
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(7,2)/pol.bin
sorry, value must be one of 0,1,2,3,4
try again (? to abort): q
sorry, value must be one of 0,1,2,3,4
try again (? to abort): block
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp(8,R)
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(6,3)/block
sorry, value must be one of 0,1,2,3,4
try again (? to abort): wgraph
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(6,3)/wgraph
sorry, value must be one of 0,1,2,3,4
try again (? to abort): wcells
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(6,3)/wcells
sorry, value must be one of 0,1,2,3,4
try again (? to abort): kllist
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(6,3)/kllist
sorry, value must be one of 0,1,2,3,4
try again (? to abort): blockwrite
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(6,3)/blk.bin
sorry, value must be one of 0,1,2,3,4
try again (? to abort): klwrite
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(6,3)/mat.bin
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(6,3)/pol.bin
sorry, value must be one of 0,1,2,3,4
try again (? to abort): q
sorry, value must be one of 0,1,2,3,4
try again (? to abort): block
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp(8,R)
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(5,4)/block
sorry, value must be one of 0,1,2,3,4
try again (? to abort): wgraph
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(5,4)/wgraph
sorry, value must be one of 0,1,2,3,4
try again (? to abort): wcells
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(5,4)/wcells
sorry, value must be one of 0,1,2,3,4
try again (? to abort): kllist
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(5,4)/kllist
sorry, value must be one of 0,1,2,3,4
try again (? to abort): blockwrite
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(5,4)/blk.bin
sorry, value must be one of 0,1,2,3,4
try again (? to abort): klwrite
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(5,4)/mat.bin
sorry, value must be one of 0,1,2,3,4
try again (? to abort): Sp8/Sp(8,R)/SO(5,4)/pol.bin
sorry, value must be one of 0,1,2,3,4
try again (? to abort): q
sorry, value must be one of 0,1,2,3,4
try again (? to abort): ?
no dual real form set
real: qq
Sp(8,C)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C4.C4
elements of finite order in the center of the simply connected group:
Z/2.Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): C
main: cartan
there is a unique real form: sp(8,C)
Name an output file (return for stdout, ? to abandon): Sp8/Sp(8,C)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp8/Sp(8,C)/KGB
real: kgborder
kgbsize: 384
Name an output file (return for stdout, ? to abandon): Sp8/Sp(8,C)/kgborder
real: block
there is a unique dual real form choice: so(9,C)
Name an output file (return for stdout, ? to abandon): Sp8/Sp(8,C)/SO(9,C)/bloc
k
block: wgraph
Name an output file (return for stdout, ? to abandon): Sp8/Sp(8,C)/SO(9,C)/wgra
ph
block: wcells
Name an output file (return for stdout, ? to abandon): Sp8/Sp(8,C)/SO(9,C)/wcel
ls
block: kllist
Name an output file (return for stdout, ? to abandon): Sp8/Sp(8,C)/SO(9,C)/klli
st
block: blockwrite
File name for block output: Sp8/Sp(8,C)/SO(9,C)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Sp8/Sp(8,C)/SO(9,C)/mat.bin
File name for polynomial output: Sp8/Sp(8,C)/SO(9,C)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Sp(5)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C5
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sp(5)
1: sp(4,1)
2: sp(3,2)
3: sp(10,R)
enter your choice: 0
real: cartan
Name an output file (return for stdout, ? to abandon): Sp10/Sp(5)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp10/Sp(5)/KGB
real: kgborder
kgbsize: 1
Name an output file (return for stdout, ? to abandon): Sp10/Sp(5)/kgborder
real: block
there is a unique dual real form choice: so(6,5)
Name an output file (return for stdout, ? to abandon): Sp10/Sp(5)/SO(6,5)/block
M[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[C[Kk
block: wgraph
Name an output file (return for stdout, ? to abandon): Sp10/Sp(5)/SO(6,5)/wgrap
h
block: wcells
Name an output file (return for stdout, ? to abandon): Sp10/Sp(5)/SO(6,5)/wcell
s
block: kllist
Name an output file (return for stdout, ? to abandon): Sp10/Sp(5)/SO(6,5)/kllis
t
block: blockwrite
File name for block output: Sp10/Sp(5)/SO(6,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Sp10/Sp(5)/SO(6,5)/mat.bin
File name for polynomial output: Sp10/Sp(5)/SO(6,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Sp(4,1)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C5
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sp(5)
1: sp(4,1)
2: sp(3,2)
3: sp(10,R)
enter your choice: 1
real: cartan
Name an output file (return for stdout, ? to abandon): Sp10/Sp(4,1)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp10/Sp(4,1)/KGB
real: kgborder
kgbsize: 25
Name an output file (return for stdout, ? to abandon): Sp10/Sp(4,1)/kgborder
real: block
there is a unique dual real form choice: so(6,5)
Name an output file (return for stdout, ? to abandon): Sp10/Sp(4,1)/SO(6,5)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): Sp10/Sp(4,1)/SO(6,5)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): Sp10/Sp(4,1)/SO(6,5)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): Sp10/Sp(4,1)/SO(6,5)/kll
ist
block: blockwrite
File name for block output: Sp10/Sp(4,1)/SO(6,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Sp10/Sp(4,1)/SO(6,5)/mat.bin
File name for polynomial output: Sp10/Sp(4,1)/SO(6,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Sp(3,2)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C5
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sp(5)
1: sp(4,1)
2: sp(3,2)
3: sp(10,R)
enter your choice: 2
real: cartan
Name an output file (return for stdout, ? to abandon): Sp10/Sp(3,2)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp10/Sp(3,2)/KGB
real: kgborder
kgbsize: 130
Name an output file (return for stdout, ? to abandon): Sp10/Sp(3,2)/kgborder
real: block
there is a unique dual real form choice: so(6,5)
Name an output file (return for stdout, ? to abandon): Sp10/Sp(3,2)/SO(6,5)/blo
ck
block: wgraph
Name an output file (return for stdout, ? to abandon): Sp10/Sp(3,2)/SO(6,5)/wgr
aph
block: wcells
Name an output file (return for stdout, ? to abandon): Sp10/Sp(3,2)/SO(6,5)/wce
lls
block: kllist
Name an output file (return for stdout, ? to abandon): Sp10/Sp(3,2)/SO(6,5)/kll
ist
block: blockwrite
File name for block output: Sp10/Sp(3,2)/SO(6,5)/blk.bin
Binary file written.
block: klwrite
File name for matrix output: Sp10/Sp(3,2)/SO(6,5)/mat.bin
File name for polynomial output: Sp10/Sp(3,2)/SO(6,5)/pol.bin
Writing matrix entries... Done.
Writing polynomial coefficients... Done.
block: q
real: ?
?: not found
real: qq
Sp(10,R)
This is the Atlas of Reductive Lie Groups Software Package version 0.4.3.
Build date: Jul 24 2010 at 14:14:59.
Enter "help" if you need assistance.
empty: type
Lie type: C5
elements of finite order in the center of the simply connected group:
Z/2
enter kernel generators, one per line
(ad for adjoint, ? to abort):
sc
enter inner class(es): s
main: realform
(weak) real forms are:
0: sp(5)
1: sp(4,1)
2: sp(3,2)
3: sp(10,R)
enter your choice: 3
real: cartan
Name an output file (return for stdout, ? to abandon): Sp10/Sp(10,R)/cartan
real: KGB
Name an output file (return for stdout, ? to abandon): Sp10/Sp(10,R)/KGB
real: kgborder
kgbsize: 963
Name an output file (return for stdout, ? to abandon): Sp10/Sp(10,R)/kgborder
real: block
possible (weak) dual real forms are:
0: so(11)
1: so(10,1)
2: so(9,2)
3: so(8,3)
4: so(7,4)
5: so(6,5)
enter your choice: Sp(10,R)
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(11)/block
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): wgraph
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(11)/wgraph
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): wcells
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(11)/wcells
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): kllist
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(11)/kllist
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): blockwrite
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(11)/blk.bin
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): klwrite
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(11)/mat.bin
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(11)/pol.bin
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): q
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): block
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp(10,R)
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(10,1)/block
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): wgraph
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(10,1)/wgraph
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): wcells
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(10,1)/wcells
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): kllist
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(10,1)/kllist
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): blockwrite
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(10,1)/blk.bin
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): klwrite
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(10,1)/mat.bin
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(10,1)/pol.bin
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): q
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): block
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp(10,R)
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(9,2)/block
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): wgraph
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(9,2)/wgraph
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): wcells
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(9,2)/wcells
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): kllist
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(9,2)/kllist
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): blockwrite
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(9,2)/blk.bin
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): klwrite
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(9,2)/mat.bin
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(9,2)/pol.bin
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): q
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): block
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp(10,R)
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(8,3)/block
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): wgraph
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(8,3)/wgraph
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): wcells
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(8,3)/wcells
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): kllist
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(8,3)/kllist
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): blockwrite
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(8,3)/blk.bin
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): klwrite
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(8,3)/mat.bin
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp10/Sp(10,R)/SO(8,3)/pol.bin
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): q
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): block
sorry, value must be one of 0,1,2,3,4,5
try again (? to abort): Sp(10,R)
sorry, value must be one of