/*
www-ATLAS of Group Representations.
3.A7 represented as 36 x 36 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,36,[
"010000000000000000000000000000000000",
"000100000000000000000000000000000000",
"000010000000000000000000000000000000",
"100000000000000000000000000000000000",
"000000010000000000000000000000000000",
"000000000100000000000000000000000000",
"004010100000000000000000000000000000",
"001000000000000000000000000000000000",
"000000000000010000000000000000000000",
"000000000000000100000000000000000000",
"000000000000000001000000000000000000",
"000000000000000000010000000000000000",
"000000000000000000000100000000000000",
"000000000000000000000001000000000000",
"000000000000000000000000010000000000",
"000001000000000000000000000000000000",
"000000000000000000000000000010000000",
"000000000000000000000000000000100000",
"000000000000000000000000000000001000",
"000000000000000000000000000000000100",
"000000000000000000000000000000000010",
"000000000000000000000000000000000001",
"410043013403144341404234412043013102",
"000000001000000000000000000000000000",
"443102141143043400114224103323110013",
"231414330103331214040003102113334413",
"412410204022300220313300420132103431",
"230201331343014331003420341002130402",
"034234203043223021321234322413224421",
"414011003133041404203100422224323303",
"000000000010000000000000000000000000",
"323334423044313200040033242204024232",
"414231332102111321244403011023100114",
"000000000001000000000000000000000000",
"032222343004140332141443223412224131",
"000000000000100000000000000000000000"]);

y:=CambridgeMatrix(1,F,36,[
"001000000000000000000000000000000000",
"441400000000000000000000000000000000",
"000001000000000000000000000000000000",
"000000100000000000000000000000000000",
"000000001000000000000000000000000000",
"000000000010000000000000000000000000",
"000000000001000000000000000000000000",
"000000000000100000000000000000000000",
"000000000000001000000000000000000000",
"000000000000000010000000000000000000",
"000000000000000000100000000000000000",
"000000000000000000001000000000000000",
"000000000000000000000010000000000000",
"000000000000000000000000100000000000",
"000000000000000000000000001000000000",
"000000000000000000000000000100000000",
"000000000000000000000000000001000000",
"000000000000000000000000000000010000",
"100000000000000000000000000000000000",
"003021002404000010010300000000000000",
"032403100024000000301000000000000000",
"344013011034012123324030242320344333",
"342224024044023402423022331323322013",
"342400234020203123224222213140114334",
"422140224030401204403432402324402230",
"324342242040020300233442111401230202",
"312420234240030203330211324340234322",
"400330130100410001321213021014343012",
"343202103220210221300224222424212124",
"032121324404201132420214232011122111",
"103342203344211344412121423011331143",
"223003221122303014042231434034433134",
"023212321344210132344133022124214430",
"444400130000000100000002000100000400",
"321344024043112111330133330430220300",
"300322231424004034223414413410220340"]);

G<x,y>:=MatrixGroup<36,F|x,y>;
print "Group G is 3.A7 < GL(36,GF(5))";