/*
www-ATLAS of Group Representations.
2.S7 represented as 32 x 32 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,32,[
"01000000000000000000000000000000",
"10000000000000000000000000000000",
"63660000000000000000000000000000",
"43010000000000000000000000000000",
"00000010000000000000000000000000",
"00000000100000000000000000000000",
"00001000000000000000000000000000",
"00000000000100000000000000000000",
"00000100000000000000000000000000",
"00000000000000100000000000000000",
"00000000000000001000000000000000",
"00000001000000000000000000000000",
"00000000000000000001000000000000",
"00000000000000000000010000000000",
"00000000010000000000000000000000",
"00000000000000000000000010000000",
"00000000001000000000000000000000",
"00000000000000000000000000010000",
"03251010343265612240013160430000",
"00000000000010000000000000000000",
"00000000000000000000000000000100",
"00000000000001000000000000000000",
"04524401241622142123036520360000",
"05161643543413416260051230250000",
"00000000000000010000000000000000",
"00000000000000000000000000000001",
"05506035312313033325031020230000",
"00000000000000000100000000000000",
"64302542421312530413420224251303",
"00000000000000000000100000000000",
"04166622454410015341356330436064",
"00000000000000000000000001000000"]);

y:=CambridgeMatrix(1,F,32,[
"00100000000000000000000000000000",
"00010000000000000000000000000000",
"00001000000000000000000000000000",
"00000100000000000000000000000000",
"00000001000000000000000000000000",
"00000000010000000000000000000000",
"00000000001000000000000000000000",
"00000000000010000000000000000000",
"00000000000001000000000000000000",
"00000000000000010000000000000000",
"00000000000000000100000000000000",
"00000000000000000010000000000000",
"00000000000000000000100000000000",
"00000000000000000000001000000000",
"00000000000000000000000100000000",
"00000000000000000000000001000000",
"00000000000000000000000000100000",
"00000000000000000000000000001000",
"41555030000642335203654246113000",
"54045155413653223551011326250000",
"60000000000000000000000000000000",
"66146046053565332365035310020000",
"00000000000000000000000000000010",
"56613210622155014632012101310030",
"15343306541366115065640540160000",
"06000000000000000000000000000000",
"50230243132126232124302226500020",
"45116565145454103054135461101000",
"40523040355016346214504014523320",
"16464401214416066404061330450000",
"10401355445141440013363411346444",
"24005435226261024354012210260000"]);

G<x,y>:=MatrixGroup<32,F|x,y>;
print "Group G is 2.S7 < GL(32,GF(7))";