/*
www-ATLAS of Group Representations.
2.S7 represented as 40 x 40 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,40,[
"0100000000000000000000000000000000000000",
"1000000000000000000000000000000000000000",
"5666000000000000000000000000000000000000",
"1601000000000000000000000000000000000000",
"0000001000000000000000000000000000000000",
"0000000010000000000000000000000000000000",
"0000100000000000000000000000000000000000",
"0000000000010000000000000000000000000000",
"0000010000000000000000000000000000000000",
"0000000000000010000000000000000000000000",
"0000000000000000100000000000000000000000",
"0000000100000000000000000000000000000000",
"0000000000000000000100000000000000000000",
"0000000000000000000001000000000000000000",
"0000000001000000000000000000000000000000",
"0000000000000000000000001000000000000000",
"0000000000100000000000000000000000000000",
"0000000000000000000000000001000000000000",
"0000000000000000000000000000010000000000",
"0000000000001000000000000000000000000000",
"0000000000000000000000000000000010000000",
"0000000000000100000000000000000000000000",
"0000000000000000000000000000000000100000",
"0000000000000000000000000000000000001000",
"0000000000000001000000000000000000000000",
"0046265145112336102145035664634324542520",
"0000000000000000000000000000000000000001",
"0000000000000000010000000000000000000000",
"0604600611115121126040140455201040432043",
"0000000000000000001000000000000000000000",
"0256104224105506644211366556303135354611",
"3515562615452660213532033001455466564305",
"0000000000000000000010000000000000000000",
"6216253540636324342211545646041115662212",
"0000000000000000000000100000000000000000",
"3644662326066304541245222141520251005626",
"0000000000000000000000010000000000000000",
"1241200514001002614055600505566662653512",
"4044655046532013062123524443110411620333",
"0000000000000000000000000010000000000000"]);

y:=CambridgeMatrix(1,F,40,[
"0010000000000000000000000000000000000000",
"0001000000000000000000000000000000000000",
"0000100000000000000000000000000000000000",
"0000010000000000000000000000000000000000",
"0000000100000000000000000000000000000000",
"0000000001000000000000000000000000000000",
"0000000000100000000000000000000000000000",
"0000000000001000000000000000000000000000",
"0000000000000100000000000000000000000000",
"0000000000000001000000000000000000000000",
"0000000000000000010000000000000000000000",
"0000000000000000001000000000000000000000",
"0000000000000000000010000000000000000000",
"0000000000000000000000100000000000000000",
"0000000000000000000000010000000000000000",
"0000000000000000000000000100000000000000",
"0000000000000000000000000010000000000000",
"0000000000000000000000000000100000000000",
"0000000000000000000000000000001000000000",
"0000000000000000000000000000000100000000",
"6000000000000000000000000000000000000000",
"0000000000000000000000000000000001000000",
"0000000000000000000000000000000000010000",
"0000000000000000000000000000000000000100",
"0000000000000000000000000000000000000010",
"0600000000000000000000000000000000000000",
"5111643516512246266510454456542101063461",
"2534441012403401113153441633536461644230",
"5255204613526264664064134434613345024042",
"6123111460212166535636422006003113311060",
"6221043346416534616252362103554645312136",
"4343645025551223435415256245026165636651",
"1162254444613515251155111661252121503504",
"2406062666363512304543056300133610015002",
"3505224643110633535053425540540231266650",
"2622156324562346500335140406064545242254",
"2100503656542236033431606440250243335640",
"4636161605525261505634053256021510616265",
"5526256140413102626435601444245145632122",
"4102011506652021000444264111251646520456"]);

G<x,y>:=MatrixGroup<40,F|x,y>;
print "Group G is 2.S7 < GL(40,GF(7))";