/*
www-ATLAS of Group Representations.
3.J3 represented as 36 x 36 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,36,[
"010000000000000000000000000000000000",
"100000000000000000000000000000000000",
"000100000000000000000000000000000000",
"001000000000000000000000000000000000",
"000001000000000000000000000000000000",
"000010000000000000000000000000000000",
"000000001000000000000000000000000000",
"000000000100000000000000000000000000",
"000000100000000000000000000000000000",
"000000010000000000000000000000000000",
"000000000000010000000000000000000000",
"000000000000001000000000000000000000",
"000000000000000010000000000000000000",
"000000000010000000000000000000000000",
"000000000001000000000000000000000000",
"000000000000000000001000000000000000",
"000000000000100000000000000000000000",
"000000000000000000000010000000000000",
"000000000000000000000001000000000000",
"000000000000000000000000010000000000",
"000000000000000100000000000000000000",
"000000000000000000000000000010000000",
"000000000000000001000000000000000000",
"000000000000000000100000000000000000",
"000000000000000000000000000000010000",
"000000000000000000010000000000000000",
"000000000000000000000000000000000100",
"234123233220030303222423332110020300",
"000000000000000000000100000000000000",
"000000000000000000000000000000000001",
"001441144104401014330212024030100100",
"000000000000000000000000100000000000",
"004141124322133040300002200000031000",
"000000000000000000000000001000000000",
"322332401010140041040040412000010310",
"000000000000000000000000000001000000"]);

y:=CambridgeMatrix(1,F,36,[
"140000000000000000000000000000000000",
"001000000000000000000000000000000000",
"044000000000000000000000000000000000",
"000010000000000000000000000000000000",
"000000100000000000000000000000000000",
"000000010000000000000000000000000000",
"000100000000000000000000000000000000",
"000000000010000000000000000000000000",
"000000000001000000000000000000000000",
"000000000000100000000000000000000000",
"000001000000000000000000000000000000",
"000000000000000100000000000000000000",
"000000000000000001000000000000000000",
"000000000000000000100000000000000000",
"000000000000000000010000000000000000",
"000000001000000000000000000000000000",
"000000000000000000000100000000000000",
"000000000100000000000000000000000000",
"000000000000000000000000100000000000",
"000000000000000000000000001000000000",
"000000000000000000000000000100000000",
"000000000000000000000000000001000000",
"000000000000000000000000000000100000",
"000000000000000000000001000000000000",
"000000000000010000000000000000000000",
"000000000000000000000000000000001000",
"000000000000001000000000000000000000",
"000000000000000000000000000000000010",
"023443243232032003430420330311302020",
"000000000000000010000000000000000000",
"042301201044132004232000020400103040",
"032030234022343402014030111300214030",
"012040133220341200003020114300300040",
"014431302444030401302040410100104120",
"000000000000000000001000000000000000",
"001241430214204101300020221300303021"]);

G<x,y>:=MatrixGroup<36,F|x,y>;
print "Group G is 3.J3 < GL(36,GF(5))";