/*
www-ATLAS of Group Representations.
2.L3(4) represented as 56 x 56 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,56,[
"01000000000000000000000000000000000000000000000000000000",
"10000000000000000000000000000000000000000000000000000000",
"00010000000000000000000000000000000000000000000000000000",
"00100000000000000000000000000000000000000000000000000000",
"00000010000000000000000000000000000000000000000000000000",
"00000001000000000000000000000000000000000000000000000000",
"00001000000000000000000000000000000000000000000000000000",
"00000100000000000000000000000000000000000000000000000000",
"00000000000100000000000000000000000000000000000000000000",
"00000000000001000000000000000000000000000000000000000000",
"00000000000000010000000000000000000000000000000000000000",
"00000000100000000000000000000000000000000000000000000000",
"00000000000000000010000000000000000000000000000000000000",
"00000000010000000000000000000000000000000000000000000000",
"00000000000000000000100000000000000000000000000000000000",
"00000000001000000000000000000000000000000000000000000000",
"00000000000000000000010000000000000000000000000000000000",
"00000000000000000000000100000000000000000000000000000000",
"00000000000010000000000000000000000000000000000000000000",
"00000000000000000000000001000000000000000000000000000000",
"00000000000000100000000000000000000000000000000000000000",
"00000000000000001000000000000000000000000000000000000000",
"00000000000000000000000000001000000000000000000000000000",
"00000000000000000100000000000000000000000000000000000000",
"11660000000000000000000060000000000000000000000000000000",
"00000000000000000001000000000000000000000000000000000000",
"00000000000000000000000000000000100000000000000000000000",
"00000000000000000000000000000000001000000000000000000000",
"00000000000000000000001000000000000000000000000000000000",
"00000601600100100000600000000100000000000000000000000000",
"33660201066606060000106000006660000000000000000000000000",
"00000000000000000000000000000000000000010000000000000000",
"00000000000000000000000000100000000000000000000000000000",
"00000000000000000000000000000000000000000010000000000000",
"00000000000000000000000000010000000000000000000000000000",
"00000000000000000000000000000000000000000000100000000000",
"54445655512501326006360006000000001066600000000000000000",
"00000000000000000000000000000000000000000000000100000000",
"61000601000000000000000000010000006001100000000600000000",
"00000000000000000000000000000001000000000000000000000000",
"00000000000000000000000000000000000000000000000010000000",
"66000606010001000000000000010000001000000600000000000000",
"00000000000000000000000000000000010000000000000000000000",
"65000000301410410016306006006100011006600016000000000000",
"00000000000000000000000000000000000100000000000000000000",
"00000000000000000000000000000000000000000000000000010000",
"11552121366306461000416000606000600000000000006000000000",
"00000000000000000000000000000000000001000000000000000000",
"00000000000000000000000000000000000000001000000000000000",
"11222122566606261100116100006106010000060010000006000000",
"43226666000101000000660010001000000000000060000000006000",
"00000000000000000000000000000000000000000000010000000000",
"45116666110000606000001060000000060000000000000000600000",
"06551016300306400000410060666106601106560010100100601600",
"23116161560406306000460000000600006000100000000600000060",
"11000000600600000000000000000000000000000000000000000006"]);

y:=CambridgeMatrix(1,F,56,[
"66000000000000000000000000000000000000000000000000000000",
"00100000000000000000000000000000000000000000000000000000",
"00001000000000000000000000000000000000000000000000000000",
"00000100000000000000000000000000000000000000000000000000",
"01601000000000000000000000000000000000000000000000000000",
"00000000100000000000000000000000000000000000000000000000",
"00000000010000000000000000000000000000000000000000000000",
"00000000001000000000000000000000000000000000000000000000",
"00000000000010000000000000000000000000000000000000000000",
"00000000000000100000000000000000000000000000000000000000",
"00000000000000001000000000000000000000000000000000000000",
"00000000000000000100000000000000000000000000000000000000",
"00010000000000000000000000000000000000000000000000000000",
"00000000000000000001000000000000000000000000000000000000",
"00010000000010010000000000000000000000000000000000000000",
"00060610000000000000000000000000000000000000000000000000",
"00000000000000000000001000000000000000000000000000000000",
"11601000600000100000600000000000000000000000000000000000",
"00000000000000000000000010000000000000000000000000000000",
"00000000000000000000000000100000000000000000000000000000",
"00610000600100110100600000000000000000000000000000000000",
"00000000000000000000000000010000000000000000000000000000",
"00000001000000000000000000000000000000000000000000000000",
"00000000000000000000000000000100000000000000000000000000",
"00000000000000000000000000000010000000000000000000000000",
"00000000000000000000000000000001000000000000000000000000",
"00000000000000000000000000000000010000000000000000000000",
"00000000000000000000000000000000000100000000000000000000",
"00000000000000000000000000000000000010000000000000000000",
"00000000000000000000000000000000000001000000000000000000",
"00000000000000000000000000000000000000100000000000000000",
"00000000000000000000000000000000000000001000000000000000",
"00000000000000000000000000000000000000000100000000000000",
"00000000000001000000000000000000000000000000000000000000",
"00000000000000000000000000000000000000000001000000000000",
"00000000000000000000000000000000000000000000010000000000",
"00000000000000000000000000000000000000000000001000000000",
"32651110166610661060106000600000000000000000606000000000",
"00000000000000000010000000000000000000000000000000000000",
"61000601000000000000000000010000006001100000000600000000",
"00000000000000000000000000000000000000000000000001000000",
"22542121366206461000516000606000600100000000006000000000",
"66342312055606051001106001000600006010101000000000000000",
"44601101266460561001300011001600006001101061101000000000",
"00000000000000000000000000000000000000000000000000100000",
"00000000000000000000010000000000000000000000000000000000",
"45020666010100006000601660000000060000000000000000600000",
"00000000000000000000000000000000000000000000000000001000",
"00000000000000000000000000000000000000000000000000000100",
"00000000000000000000000001000000000000000000000000000000",
"33660201066606060000106000006660000000000000000000000000",
"00000000000000000000000000000000000000000000000000000010",
"00000000000000000000000000000000000000000000000000000001",
"32245555310662416060161600102000060600000061001160000001",
"33660101000016000016006000006000000006000016000000060000",
"00322122666606161000116100006106010000060010000006000000"]);

G<x,y>:=MatrixGroup<56,F|x,y>;
print "Group G is 2.L3(4) < GL(56,GF(7))";