/*
www-ATLAS of Group Representations.
2.L3(4):2a represented as 20 x 20 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,20,[
"20000000000000000000",
"00100000000000000000",
"01000000000000000000",
"00001000000000000000",
"00010000000000000000",
"00000001000000000000",
"00000000010000000000",
"00000100000000000000",
"00000000000010000000",
"00000010000000000000",
"00000000000001000000",
"00000000000000010000",
"00000000100000000000",
"00000000001000000000",
"00000000000000000010",
"00000000000100000000",
"21001111020010022102",
"01022022111002021202",
"00000000000000100000",
"20101002201222001100"]);

y:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"20000000000000000000",
"00010000000000000000",
"00000100000000000000",
"00000010000000000000",
"00000000100000000000",
"00000000001000000000",
"00000000000100000000",
"00100000000000000000",
"10010000210000000000",
"00000000000000100000",
"00000000000000001000",
"02000010001020000000",
"00000000000000000100",
"00001000000000000000",
"00000000000000000001",
"11000022011101211101",
"00002020020000020202",
"22002021010020212211",
"21022022120002001202"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is 2.L3(4):2a < GL(20,GF(3))";