/*
www-ATLAS of Group Representations.
2.L3(4):2a represented as 26 x 26 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,26,[
"60000000000000000000000000",
"00100000000000000000000000",
"01000000000000000000000000",
"00001000000000000000000000",
"00010000000000000000000000",
"00000001000000000000000000",
"00000000010000000000000000",
"00000100000000000000000000",
"00000000000010000000000000",
"00000010000000000000000000",
"00000000000000100000000000",
"00000000000000001000000000",
"00000000100000000000000000",
"00000000000000000001000000",
"00000000001000000000000000",
"00000000000000000000001000",
"00000000000100000000000000",
"00000000000000000000000010",
"24635440054542102660416233",
"00000000000001000000000000",
"51663662265443633011362223",
"50565250634031200260253165",
"00000000000000010000000000",
"13350561022531012312441140",
"00000000000000000100000000",
"43302100141405253336120410"]);

y:=CambridgeMatrix(1,F,26,[
"01000000000000000000000000",
"60000000000000000000000000",
"00010000000000000000000000",
"00000100000000000000000000",
"00000010000000000000000000",
"00000000100000000000000000",
"00000000001000000000000000",
"00000000000100000000000000",
"00100000000000000000000000",
"00000000000001000000000000",
"00000000000000010000000000",
"00000000000000000100000000",
"00000000000000000010000000",
"00000000000000000000100000",
"00000000000000000000010000",
"00001000000000000000000000",
"00000000000000000000000100",
"00000000000000000000000001",
"04335042100331523404504613",
"00000000000010000000000000",
"06462426262651306332201536",
"04011435651123150362500026",
"03500265320324124653145564",
"11143024331446001502300043",
"51265450201226264542203102",
"00000001000000000000000000"]);

G<x,y>:=MatrixGroup<26,F|x,y>;
print "Group G is 2.L3(4):2a < GL(26,GF(7))";