/*
www-ATLAS of Group Representations.
A9 represented as 35 x 35 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,35,[
"01000000000000000000000000000000000",
"00010000000000000000000000000000000",
"00000100000000000000000000000000000",
"10000000000000000000000000000000000",
"00000000100000000000000000000000000",
"00000000001000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000000100000000000000000000",
"00000000000000001000000000000000000",
"00000000000000000010000000000000000",
"00100000000000000000000000000000000",
"00000000000000000000010000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000010000000000",
"00000000000000000000000000100000000",
"00000000000000000000000000001000000",
"00001000000000000000000000000000000",
"00000000000000000000000000000001000",
"00000000000000000000000000000000010",
"00000000000000000000000000000000001",
"32133010024342140412344010442233200",
"21413133134421131243101041010441000",
"00000010000000000000000000000000000",
"32142140033131234340222330100230203",
"24224213142344342211220044002433304",
"41422231213222441012402212230212310",
"00000001000000000000000000000000000",
"10004234030210414300120443021041334",
"10233311123102431402333442411420142",
"14112120321020204031243132002434013",
"03223413130012321122340124403033412",
"41144411030222121110400120211412442",
"00313200312103142020134413213044434",
"00000000010000000000000000000000000",
"41242001434044110441022344102203112"]);

y:=CambridgeMatrix(1,F,35,[
"00100000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000010000000000000000000000000000",
"00000001000000000000000000000000000",
"00000000010000000000000000000000000",
"00000000000100000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000010000000000000000000",
"00000000000000000100000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000100000000000000",
"03404440000400000000000000000000000",
"00000000000000000000000100000000000",
"00000000000000000000000001000000000",
"00000000000000000000000000010000000",
"00000000000000000000000000000100000",
"00000000000000000000000000000010000",
"00000000000000000000000000000000100",
"03332344043020023142220302113030440",
"24401102043120432331214343422342143",
"11213234020324102040042422402203002",
"21232044130444144314443110430141422",
"11224112322441422303341230242410304",
"23012402010011210434032302110143401",
"30344320100144033403002210314344320",
"13214033240433310104121043343031024",
"24130224114404404240234041343304441",
"10011134142342123410440013143033334",
"23231234300130301210222234104414410",
"14333414321341030220143311432142011",
"44340222431011341140404410021324330",
"22221443133214020431122032044224432",
"41124324412440014122240014332303441",
"40402101131432143410212241004301311",
"24110013100224213032140233044030321"]);

G<x,y>:=MatrixGroup<35,F|x,y>;
print "Group G is A9 < GL(35,GF(5))";