/*
www-ATLAS of Group Representations.
3.S7 represented as 30 x 30 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,30,[
"010000000000000000000000000000",
"100000000000000000000000000000",
"000010000000000000000000000000",
"000000100000000000000000000000",
"001000000000000000000000000000",
"000000000100000000000000000000",
"000100000000000000000000000000",
"000000000000100000000000000000",
"000000000000001000000000000000",
"000001000000000000000000000000",
"000000000000000010000000000000",
"000000000000000000100000000000",
"000000010000000000000000000000",
"000000000000000000000100000000",
"000000001000000000000000000000",
"000000000000000000000001000000",
"000000000010000000000000000000",
"000000000000000000000000001000",
"000000000001000000000000000000",
"000000000000000000000000000001",
"232163441402034626061256013553",
"000000000000010000000000000000",
"645554420624650160322545441412",
"000000000000000100000000000000",
"632515210433451111344033104613",
"505154235225131612324255161010",
"000000000000000001000000000000",
"305565525554153245210144665665",
"320060530426610624160143146331",
"000000000000000000010000000000"]);

y:=CambridgeMatrix(1,F,30,[
"001000000000000000000000000000",
"000100000000000000000000000000",
"000001000000000000000000000000",
"000000010000000000000000000000",
"000000001000000000000000000000",
"000000000010000000000000000000",
"000000000001000000000000000000",
"000000000000010000000000000000",
"066066006000000000000000000000",
"000000000000000100000000000000",
"000000000000000001000000000000",
"000000000000000000010000000000",
"000000000000000000001000000000",
"611600000060010001000000000000",
"000000000000000000000010000000",
"000000000000000000000000100000",
"000000000000000000000000010000",
"000000000000000000000000000100",
"000000000000000000000000000010",
"006213555141154125240322004506",
"462156041315034046041164636564",
"125162556154066044215011421100",
"010200013244262664011253066130",
"122632620313050440263132050062",
"200341200620643431262156016362",
"163623666452516015633112035005",
"124600360651540556112300644614",
"100000000000000000000000000000",
"022053626636414624620132500601",
"423403302550540340346010131052"]);

G<x,y>:=MatrixGroup<30,F|x,y>;
print "Group G is 3.S7 < GL(30,GF(7))";