/*
www-ATLAS of Group Representations.
L3(4):2a represented as 35 x 35 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,35,[
"01000000000000000000000000000000000",
"10000000000000000000000000000000000",
"00010000000000000000000000000000000",
"00100000000000000000000000000000000",
"00000010000000000000000000000000000",
"00000001000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"00000000000100000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000010000000000000000000",
"00000000100000000000000000000000000",
"00000000000000000010000000000000000",
"00000000010000000000000000000000000",
"00000000000000000000100000000000000",
"00000000001000000000000000000000000",
"00000000000000000000000100000000000",
"00000000000000000000000001000000000",
"00000000000010000000000000000000000",
"00000000000000000000000000001000000",
"00000000000000100000000000000000000",
"26610360005000000010006000000000000",
"62166003000010050000060000000000000",
"00000000000000001000000000000000000",
"00000000000000000000000000000000010",
"00000000000000000100000000000000000",
"20301366052655103015343126405220121",
"05130145502141655161415663436365241",
"00000000000000000001000000000000000",
"25162621336111232146524150310345125",
"53533325350666352151341031033622532",
"26433454305442313226410615423210065",
"63403403221362134615242503641300131",
"00000000000000000000000010000000000",
"25161465161151363535461026123610452"]);

y:=CambridgeMatrix(1,F,35,[
"00100000000000000000000000000000000",
"26600000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000100000000000000000000000000000",
"10601000000000000000000000000000000",
"00000000100000000000000000000000000",
"00000000010000000000000000000000000",
"00000000001000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000000100000000000000000000",
"00000000000000001000000000000000000",
"00000000000000000100000000000000000",
"00010000000000000000000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000010000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000010000000000",
"00000000000000000000000000100000000",
"00000000000000000000000000010000000",
"00000000000000000000000000000100000",
"00000000000000000000000000000010000",
"00000010000000000000000000000000000",
"00000000000000000000000000000001000",
"00000000000000000000000000000000100",
"00000001000000000000000000000000000",
"00000000000000000000000000000000001",
"43021062413250303043510230425442325",
"50311330243561202431555050343611051",
"52152412446561162560626666415401412",
"61400266611165513023245622302151065",
"36451005352324632444313222411553625",
"32400510212563234213231514013605201",
"55010434023055416460203523564014241",
"10443235030600364502420000031123521",
"65543305536534223065043210433605441"]);

G<x,y>:=MatrixGroup<35,F|x,y>;
print "Group G is L3(4):2a < GL(35,GF(7))";