/*
www-ATLAS of Group Representations.
3.S7 represented as 30 x 30 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,30,[
"010000000000000000000000000000",
"100000000000000000000000000000",
"000010000000000000000000000000",
"000000100000000000000000000000",
"001000000000000000000000000000",
"000000000100000000000000000000",
"000100000000000000000000000000",
"000000000000100000000000000000",
"000000000000001000000000000000",
"000001000000000000000000000000",
"000000000000000010000000000000",
"000000000000000000100000000000",
"000000010000000000000000000000",
"000000000000000000000100000000",
"000000001000000000000000000000",
"000000000000000000000000100000",
"000000000010000000000000000000",
"000000000000000000000000000100",
"000000000001000000000000000000",
"343142111303021223201312341330",
"321223231331041324402412402414",
"000000000000010000000000000000",
"132044144204144431421302424121",
"020012220000301122223032424432",
"000000000000000100000000000000",
"410423344122130100403021112221",
"314022430131431034214133112101",
"000000000000000001000000000000",
"113234201133332313430040432012",
"122330103420103413013231412312"]);

y:=CambridgeMatrix(1,F,30,[
"001000000000000000000000000000",
"000100000000000000000000000000",
"000001000000000000000000000000",
"000000010000000000000000000000",
"000000001000000000000000000000",
"000000000010000000000000000000",
"000000000001000000000000000000",
"000000000000010000000000000000",
"044444004000000000000000000000",
"000000000000000100000000000000",
"000000000000000001000000000000",
"000000000000000000010000000000",
"000000000000000000001000000000",
"000000000000000000000010000000",
"000000000000000000000001000000",
"000000000000000000000000010000",
"000000000000000000000000001000",
"011404000000010001000040000000",
"000000000000000000000000000010",
"000000000000000000000000000001",
"210244430100030104421143113342",
"012131431013432021143102312241",
"411000040040010001000000000000",
"204020111132110334141403403042",
"201201001403210410230131402412",
"141414314123130114031311120143",
"102141304312312041122324201232",
"114240423401230334320341213432",
"012432403243414332403244210041",
"120241104221033443402100340130"]);

G<x,y>:=MatrixGroup<30,F|x,y>;
print "Group G is 3.S7 < GL(30,GF(5))";