PGL(3,C)-representations for m033

 m032 Overview m034  


Manifold Obstruction
index
Degree of
component
SL(2,C) PSL(2,C) PSL(3,R) SL(3,C) PU(2,1) note Complex volume
m033 0 1-dimensional
1-dimensional
1-dimensional
1-dimensional
4XX -12 .6558529155325759359 0 .8009131394271014593 i
XX -5 .6604195890622533627 -0 .8009131394271014593 i
XX 5 .6604195890622533627 -0 .8009131394271014593 i
XX 12 .6558529155325759359 0 .8009131394271014593 i
1 1-dimensional
16 -9 .7540040918372136530 -0 .1775738520462860212 i
-9 .7540040918372136530 -0 .1775738520462860212 i
-5 .0711874073404155406 0 .2671846999956123498 i
-5 .0711874073404155406 0 .2671846999956123498 i
X 0 -0 .1241164904367696872 i
X 0 -0 .1241164904367696872 i
X 0 -0 .1071762778148601213 i
X 0 -0 .1071762778148601213 i
X 0 -0 .0657233915436144819 i
X 0 -0 .0657233915436144819 i
X 0 0 .1177944638965916334 i
X 0 0 .1177944638965916334 i
5 .0711874073404155406 0 .2671846999956123498 i
5 .0711874073404155406 0 .2671846999956123498 i
9 .7540040918372136530 -0 .1775738520462860212 i
9 .7540040918372136530 -0 .1775738520462860212 i
2 8 -3 .5817073255683653051 0 .1338692340478951515 i
-3 .5817073255683653051 0 .1338692340478951515 i
X 0 -0 .2356698519275602517 i
X 0 -0 .2356698519275602517 i
X 0 -0 .0320686161682300514 i
X 0 -0 .0320686161682300514 i
3 .5817073255683653051 0 .1338692340478951515 i
3 .5817073255683653051 0 .1338692340478951515 i
4 -4 .0597664256386145000
-4 .0597664256386145000
4 .0597664256386145000
4 .0597664256386145000
4 -4 .0597664256386145000
-4 .0597664256386145000
4 .0597664256386145000
4 .0597664256386145000
3 34 -5 .6495896712745559821 0 .2194004581437198397 i
-5 .6495896712745559821 0 .2194004581437198397 i
-4 .1523059133380717294 0 .1308146117692287697 i
-4 .1523059133380717294 0 .1308146117692287697 i
-3 .6989126035187779344 -0 .0077908098637427863 i
-3 .6989126035187779344 -0 .0077908098637427863 i
-3 .6061539141531819997 -0 .1840277103036929127 i
-3 .6061539141531819997 -0 .1840277103036929127 i
-1 .9690741578359855501 -0 .0446752692985126586 i
-1 .9690741578359855501 -0 .0446752692985126586 i
-1 .6867903394637266875 0 .1745108556702798898 i
-1 .6867903394637266875 0 .1745108556702798898 i
-0 .9810884982473831094 -0 .0924667853153958214 i
-0 .9810884982473831094 -0 .0924667853153958214 i
-0 .3316408441522203880 -0 .0459571649724418892 i
-0 .3316408441522203880 -0 .0459571649724418892 i
X 0 0 .2486949839571906172 i
X 0 0 .2486949839571906172 i
0 .3316408441522203880 -0 .0459571649724418892 i
0 .3316408441522203880 -0 .0459571649724418892 i
0 .9810884982473831094 -0 .0924667853153958214 i
0 .9810884982473831094 -0 .0924667853153958214 i
1 .6867903394637266875 0 .1745108556702798898 i
1 .6867903394637266875 0 .1745108556702798898 i
1 .9690741578359855501 -0 .0446752692985126586 i
1 .9690741578359855501 -0 .0446752692985126586 i
3 .6061539141531819997 -0 .1840277103036929127 i
3 .6061539141531819997 -0 .1840277103036929127 i
3 .6989126035187779344 -0 .0077908098637427863 i
3 .6989126035187779344 -0 .0077908098637427863 i
4 .1523059133380717294 0 .1308146117692287697 i
4 .1523059133380717294 0 .1308146117692287697 i
5 .6495896712745559821 0 .2194004581437198397 i
5 .6495896712745559821 0 .2194004581437198397 i
4 34 -5 .6495896712745559821 0 .2194004581437198397 i
-5 .6495896712745559821 0 .2194004581437198397 i
-4 .1523059133380717294 0 .1308146117692287697 i
-4 .1523059133380717294 0 .1308146117692287697 i
-3 .6989126035187779344 -0 .0077908098637427863 i
-3 .6989126035187779344 -0 .0077908098637427863 i
-3 .6061539141531819997 -0 .1840277103036929127 i
-3 .6061539141531819997 -0 .1840277103036929127 i
-1 .9690741578359855501 -0 .0446752692985126586 i
-1 .9690741578359855501 -0 .0446752692985126586 i
-1 .6867903394637266875 0 .1745108556702798898 i
-1 .6867903394637266875 0 .1745108556702798898 i
-0 .9810884982473831094 -0 .0924667853153958214 i
-0 .9810884982473831094 -0 .0924667853153958214 i
-0 .3316408441522203880 -0 .0459571649724418892 i
-0 .3316408441522203880 -0 .0459571649724418892 i
X 0 0 .2486949839571906172 i
X 0 0 .2486949839571906172 i
0 .3316408441522203880 -0 .0459571649724418892 i
0 .3316408441522203880 -0 .0459571649724418892 i
0 .9810884982473831094 -0 .0924667853153958214 i
0 .9810884982473831094 -0 .0924667853153958214 i
1 .6867903394637266875 0 .1745108556702798898 i
1 .6867903394637266875 0 .1745108556702798898 i
1 .9690741578359855501 -0 .0446752692985126586 i
1 .9690741578359855501 -0 .0446752692985126586 i
3 .6061539141531819997 -0 .1840277103036929127 i
3 .6061539141531819997 -0 .1840277103036929127 i
3 .6989126035187779344 -0 .0077908098637427863 i
3 .6989126035187779344 -0 .0077908098637427863 i
4 .1523059133380717294 0 .1308146117692287697 i
4 .1523059133380717294 0 .1308146117692287697 i
5 .6495896712745559821 0 .2194004581437198397 i
5 .6495896712745559821 0 .2194004581437198397 i