/*
www-ATLAS of Group Representations.
2.L3(4):2a represented as 20 x 20 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,20,[
"40000000000000000000",
"00100000000000000000",
"01000000000000000000",
"00001000000000000000",
"00010000000000000000",
"00000001000000000000",
"00000000010000000000",
"00000100000000000000",
"00000000000010000000",
"00000010000000000000",
"00000000000001000000",
"00000000000000010000",
"00000000100000000000",
"00000000001000000000",
"00000000000000000010",
"00000000000100000000",
"43004141020030024402",
"01044044131004041404",
"00000000000000100000",
"42104032433442033403"]);

y:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"40000000000000000000",
"00010000000000000000",
"00000100000000000000",
"00000010000000000000",
"00000000100000000000",
"00000000001000000000",
"00000000000100000000",
"00100000000000000000",
"10010000410000000000",
"00000000000000100000",
"00000000000000001000",
"04000010001040000000",
"00000000000000000100",
"00001000000000000000",
"00000000000000000001",
"11002044031103431303",
"00004040040000040404",
"44002021010040414211",
"41044044140004001404"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is 2.L3(4):2a < GL(20,GF(5))";