/*
www-ATLAS of Group Representations.
2.A7 represented as 36 x 36 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,36,[
"010000000000000000000000000000000000",
"000100000000000000000000000000000000",
"000010000000000000000000000000000000",
"100000000000000000000000000000000000",
"000000010000000000000000000000000000",
"000000000100000000000000000000000000",
"000000000001000000000000000000000000",
"001000000000000000000000000000000000",
"000000000000001000000000000000000000",
"000000000000000010000000000000000000",
"000000000000000000100000000000000000",
"000000000000000000010000000000000000",
"000000000000000000000100000000000000",
"000000000000000000000001000000000000",
"000000000000000000000000010000000000",
"000000000000000000000000000100000000",
"000001000000000000000000000000000000",
"000000000000000000000000000000100000",
"000000000000000000000000000000001000",
"000000100000000000000000000000000000",
"000000000000000000000000000000000001",
"020001220010110221020012101121112110",
"001222101211112101001021202211011111",
"012122210022222022122010001120001022",
"112000010121211202100022021110202001",
"000000001000000000000000000000000000",
"122202202121101001220102201111012201",
"110020020222021022210202101012000001",
"100112211211021010001201122112121221",
"112020020202000020001011200010222000",
"010012211212122011110010121002010100",
"212002000022202001222112110220110211",
"000000000010000000000000000000000000",
"000102201221012002001021012021122112",
"100121122111201011121011121001002112",
"101000210111002100202012011221101012"]);

y:=CambridgeMatrix(1,F,36,[
"001000000000000000000000000000000000",
"022000000000000000000000000000000000",
"000001000000000000000000000000000000",
"000000100000000000000000000000000000",
"000000001000000000000000000000000000",
"000000000010000000000000000000000000",
"000000000000100000000000000000000000",
"000000000000010000000000000000000000",
"000000000000000100000000000000000000",
"000000000000000001000000000000000000",
"121002000010000000000000000000000000",
"000000000000000000001000000000000000",
"000000000000000000000010000000000000",
"000000000000000000000000100000000000",
"000000000000000000000000001000000000",
"000000000000000000000000000010000000",
"000000000000000000000000000001000000",
"000000000000000000000000000000010000",
"000000000000000000000000000000000100",
"000000000000000000000000000000000010",
"220111001112201102022101022102001000",
"020120111112220012100110100002002002",
"000122222020222222100111120210012020",
"221122211010201202111202020001110220",
"001010200221120101222102010122102021",
"102022021221110220202212001121221211",
"021212210002122021002011222122121011",
"011200201202221121122201010102201000",
"120012000211011201021202101002010101",
"010121201202212100110100202112211012",
"000000101210122200020112010011222102",
"112102100021220002201222010020112210",
"001220200001020000000000000001000000",
"201021100120122011211200121211022101",
"212211221121200020101220222122210100",
"202221211211211111001112202211021201"]);

G<x,y>:=MatrixGroup<36,F|x,y>;
print "Group G is 2.A7 < GL(36,GF(3))";