/*
www-ATLAS of Group Representations.
4b.L3(4):2a represented as 32 x 32 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,32,[
"01000000000000000000000000000000",
"10000000000000000000000000000000",
"00001000000000000000000000000000",
"00000010000000000000000000000000",
"00100000000000000000000000000000",
"00000000010000000000000000000000",
"00010000000000000000000000000000",
"00000000000100000000000000000000",
"00000000000010000000000000000000",
"00000100000000000000000000000000",
"00000000000000100000000000000000",
"00000001000000000000000000000000",
"00000000100000000000000000000000",
"00000000000000000010000000000000",
"00000000001000000000000000000000",
"00000000000000000000010000000000",
"00000000000000000000000100000000",
"00000000000000000000000001000000",
"00000000000001000000000000000000",
"00000000000000000000000000001000",
"00000000000000000000000000000010",
"00000000000000010000000000000000",
"20121200022202210211110002201100",
"00000000000000001000000000000000",
"21021120110001122001101201002220",
"00000000000000000100000000000000",
"01012212022210122211012221200120",
"01102100122111210011210211110000",
"00000000000000000001000000000000",
"02211020000212212020000222202110",
"00000000000000000000100000000000",
"02201201211020122000220022211012"]);

y:=CambridgeMatrix(1,F,32,[
"00100000000000000000000000000000",
"00010000000000000000000000000000",
"00000100000000000000000000000000",
"00000001000000000000000000000000",
"00000000100000000000000000000000",
"10221101200000000000000000000000",
"00000000001000000000000000000000",
"22011200200000000000000000000000",
"22002200200000000000000000000000",
"00000000000001000000000000000000",
"00000000000000010000000000000000",
"00000000000000001000000000000000",
"00000000000000000100000000000000",
"00000000000000000001000000000000",
"00000000000000000000100000000000",
"00000000000000000000001000000000",
"00000000000000000000000010000000",
"00000000000000000000000000100000",
"00000000000000000000000000010000",
"00000000000000000000000000000100",
"00000000000000000000000000000001",
"00022112120122202222112200000121",
"00000010000000000000000000000000",
"12212112110211201012120112211111",
"20000020212012122000122112001211",
"11101021002012101121101122222002",
"12010111022011021022122022021111",
"02212110121222221020202020110000",
"21020021120010212001020122212200",
"00000000010000000000000000000000",
"01012000002110101021220000220221",
"12011220222220010210022022211012"]);

G<x,y>:=MatrixGroup<32,F|x,y>;
print "Group G is 4b.L3(4):2a < GL(32,GF(3))";