/*
www-ATLAS of Group Representations.
2.L3(4):2a represented as 36 x 36 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,36,[
"010000000000000000000000000000000000",
"100000000000000000000000000000000000",
"000010000000000000000000000000000000",
"000001000000000000000000000000000000",
"001000000000000000000000000000000000",
"000100000000000000000000000000000000",
"000000001000000000000000000000000000",
"000000000010000000000000000000000000",
"000000100000000000000000000000000000",
"000000000000010000000000000000000000",
"000000010000000000000000000000000000",
"000000000000000010000000000000000000",
"000000000000000000100000000000000000",
"000000000100000000000000000000000000",
"000000000000000000000100000000000000",
"000000000000000000000010000000000000",
"000000000001000000000000000000000000",
"000000000000000000000000010000000000",
"000000000000100000000000000000000000",
"000000000000000000000000000100000000",
"000000000000000000000000000001000000",
"000000000000001000000000000000000000",
"000000000000000100000000000000000000",
"000000000000000000000000000000000100",
"000000000000000000000000000000000001",
"000000000000000001000000000000000000",
"122221211102211002220111002112022100",
"000000000000000000010000000000000000",
"021121222121222202221002000210200211",
"000000000000000000001000000000000000",
"002222000102112222101222020001200200",
"201112011010012012100010001112002111",
"210210102122210011110012022222212100",
"000000000000000000000001000000000000",
"112020222121010010020001200200000122",
"000000000000000000000000100000000000"]);

y:=CambridgeMatrix(1,F,36,[
"001000000000000000000000000000000000",
"000100000000000000000000000000000000",
"211200000000000000000000000000000000",
"222200000000000000000000000000000000",
"000000100000000000000000000000000000",
"000000010000000000000000000000000000",
"000000000100000000000000000000000000",
"000000000001000000000000000000000000",
"000000000000100000000000000000000000",
"000000000000001000000000000000000000",
"000000000000000100000000000000000000",
"000000000000000001000000000000000000",
"000000000000000000010000000000000000",
"000000000000000000001000000000000000",
"000010000000000000000000000000000000",
"000000000000000000000001000000000000",
"000000000000000000000000100000000000",
"000001000000000000000000000000000000",
"000000000000000000000000001000000000",
"000000000000000000000000000010000000",
"000000000000000000000000000000100000",
"000000000000000000000000000000010000",
"000000000000000000000000000000001000",
"000000000000000000000000000000000010",
"120200202002220201211000201121111202",
"001011211211000002200001101200120020",
"220200011201122212221201010112100220",
"221101111202101020211202001102022221",
"000000001000000000000000000000000000",
"010001202000220122122222222021221110",
"020001212212001220100201012200122001",
"022201212011200001211100020022100210",
"101211202120002202002021112102020222",
"211112002202012212021212011102111201",
"000000000010000000000000000000000000",
"210221100210202111012020102202010212"]);

G<x,y>:=MatrixGroup<36,F|x,y>;
print "Group G is 2.L3(4):2a < GL(36,GF(3))";