/*
www-ATLAS of Group Representations.
L2(31) represented as 31 x 31 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,31,[
"0100000000000000000000000000000",
"1000000000000000000000000000000",
"0001000000000000000000000000000",
"0010000000000000000000000000000",
"0000010000000000000000000000000",
"0000100000000000000000000000000",
"0000000010000000000000000000000",
"0000000001000000000000000000000",
"0000001000000000000000000000000",
"0000000100000000000000000000000",
"0000000000000100000000000000000",
"0000000000000010000000000000000",
"0000000000000000100000000000000",
"0000000000100000000000000000000",
"0000000000010000000000000000000",
"0000000000000000000010000000000",
"0000000000001000000000000000000",
"0000000000000000000000100000000",
"0000000000000000000000010000000",
"0000000000000000000000000100000",
"0000000000000001000000000000000",
"0000000000000000000000000000100",
"0000000000000000010000000000000",
"0000000000000000001000000000000",
"0104231430144003233112344324314",
"0000000000000000000100000000000",
"3344000404410412033321330340100",
"0444331223032240432341222024233",
"0000000000000000000001000000000",
"4334214221242330403022020331131",
"1414020430443002233044403223044"]);

y:=CambridgeMatrix(1,F,31,[
"0010000000000000000000000000000",
"0440000000000000000000000000000",
"1210000000000000000000000000000",
"0000100000000000000000000000000",
"0000001000000000000000000000000",
"0000000100000000000000000000000",
"0001000000000000000000000000000",
"0000000000100000000000000000000",
"0000000000010000000000000000000",
"0000000000001000000000000000000",
"0000010000000000000000000000000",
"0000000000000001000000000000000",
"0000000000000000010000000000000",
"0000000000000000001000000000000",
"0000000000000000000100000000000",
"0000000010000000000000000000000",
"0000000000000000000001000000000",
"0000000001000000000000000000000",
"0000000000000000000000001000000",
"0000000000000000000000000010000",
"0000000000000000000000000001000",
"0000000000000000000000000000010",
"0000000000000000000000000000001",
"2031320340430313003034110144343",
"0000000000000100000000000000000",
"3231044111043311443021303210140",
"0000000000000010000000000000000",
"3101312314234114213311202224013",
"2323031403220311314004201403231",
"0000000000000000100000000000000",
"4144422002333143132414201141142"]);

G<x,y>:=MatrixGroup<31,F|x,y>;
print "Group G is L2(31) < GL(31,GF(5))";