/*
www-ATLAS of Group Representations.
A9 represented as 35 x 35 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,35,[
"01000000000000000000000000000000000",
"00100000000000000000000000000000000",
"10000000000000000000000000000000000",
"00000100000000000000000000000000000",
"00000001000000000000000000000000000",
"00000000010000000000000000000000000",
"00000000000100000000000000000000000",
"41215203040000000000000000000000000",
"00000000000000100000000000000000000",
"00010000000000000000000000000000000",
"00000000000000000100000000000000000",
"00000000000000000001000000000000000",
"00000000000000000000010000000000000",
"00000000000000000000000100000000000",
"00000000000000000000000001000000000",
"00000000000000000000000000010000000",
"00000000000000000000000000000100000",
"00000000000000000000000000000001000",
"00000000000000000000000000000000010",
"00000010000000000000000000000000000",
"25320315351043316113454126345042555",
"65106443131231131400440431200303414",
"45124126524662645025456120331310405",
"16001433030340510062536416154104601",
"04044650410201335536016224204341061",
"00000000100000000000000000000000000",
"60521153114464510646636235164221324",
"62241430323410220223515113251542654",
"36501410356036365502202013410424312",
"64636110120545415413543463362630346",
"15622236226425653530560154660603022",
"00000000001000000000000000000000000",
"13132453462301053300316165054066043",
"25042434251216053360630160040425204",
"53125326130641411444234502235166065"]);

y:=CambridgeMatrix(1,F,35,[
"26000000000000000000000000000000000",
"00010000000000000000000000000000000",
"00001000000000000000000000000000000",
"00000010000000000000000000000000000",
"00000000100000000000000000000000000",
"00000000001000000000000000000000000",
"00000000000010000000000000000000000",
"00000000000001000000000000000000000",
"00000000000000010000000000000000000",
"00000000000000001000000000000000000",
"00000000000000000010000000000000000",
"00000000000000000000100000000000000",
"00000000000000000000001000000000000",
"00000000000000000000000010000000000",
"00000000000000000000000000100000000",
"00000000000000000000000000001000000",
"00000000000000000000000000000010000",
"00000000000000000000000000000000100",
"00000000000000000000000000000000001",
"61541244346654522312055621062204353",
"22114336124161403365206551113623315",
"15541526051211465025351643155312636",
"13650536263142260505540223205144645",
"12001365320026466340216021442666535",
"46062451033165206311620301614513543",
"03046526443105052331532462535042505",
"32516001524632664232654526231356010",
"45451435425405040636365656612010662",
"15124242230205512364601506634332525",
"45466063655353662242414603233506125",
"14006245604126353365122204500351503",
"52315155144364561432114563625266402",
"25232466002066463643352243244630211",
"42302000021336666361354133045032615",
"64650202634656236203440254131203423"]);

G<x,y>:=MatrixGroup<35,F|x,y>;
print "Group G is A9 < GL(35,GF(7))";