/*
www-ATLAS of Group Representations.
2.A11 represented as 32 x 32 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,32,[
"01000000000000000000000000000000",
"66000000000000000000000000000000",
"00010000000000000000000000000000",
"00660000000000000000000000000000",
"00000010000000000000000000000000",
"00000000100000000000000000000000",
"00006060000000000000000000000000",
"00000000000100000000000000000000",
"00000600600000000000000000000000",
"00000000000000100000000000000000",
"00000000000000001000000000000000",
"00000006000600000000000000000000",
"00000000000000000001000000000000",
"00000000000000000000100000000000",
"00000000060000600000000000000000",
"00000000000000000000000100000000",
"00000000006000006000000000000000",
"00000000000000000000000001000000",
"00000000000000000000000000100000",
"00000000000060000006000000000000",
"00000000000006000000600000000000",
"00000000000000000000000000001000",
"00000000000000000000000000000100",
"00000000000000060000000600000000",
"00000000000000000000000000000010",
"00000000000000000600000006000000",
"00000000000000000060000000600000",
"00000000000000000000000000000001",
"00000000000000000000060000006000",
"00000000000000000000006000000600",
"00000000000000000000000060000060",
"00000000000000000000000000060006"]);

y:=CambridgeMatrix(1,F,32,[
"40000000000000000000000000000000",
"00100000000000000000000000000000",
"00001000000000000000000000000000",
"00000100000000000000000000000000",
"00000001000000000000000000000000",
"00000000010000000000000000000000",
"00000000001000000000000000000000",
"00000000000010000000000000000000",
"00000000000001000000000000000000",
"00000000000000010000000000000000",
"00000000000000000100000000000000",
"00000000000000000010000000000000",
"01402003000050000000000000000000",
"00000000000000000000010000000000",
"00000000000000000000001000000000",
"56305004000030010635000000000000",
"00000000000000000000000010000000",
"46305004035600050000000000000000",
"06300630030000000500000000000000",
"46150200003000000050000000000000",
"00000000000000000000000000010000",
"31402001042160020142014200000000",
"01406140040000000342010042000000",
"31220500004060000022001060200000",
"01402140042102100000050000000000",
"31020503000103001000005000000000",
"31625540400003000000000050000000",
"06305630015605600635023535035000",
"46050204005614016005003510510500",
"46152130300014000115000045510050",
"46152434344601606000600000050000",
"31625343433164161662166252212222"]);

G<x,y>:=MatrixGroup<32,F|x,y>;
print "Group G is 2.A11 < GL(32,GF(7))";