/*
www-ATLAS of Group Representations.
J2:2 represented as 36 x 36 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,36,[
"010000000000000000000000000000000000",
"100000000000000000000000000000000000",
"000100000000000000000000000000000000",
"001000000000000000000000000000000000",
"000000100000000000000000000000000000",
"000000001000000000000000000000000000",
"000010000000000000000000000000000000",
"000000000001000000000000000000000000",
"000001000000000000000000000000000000",
"000000000000010000000000000000000000",
"000000000000000100000000000000000000",
"000000010000000000000000000000000000",
"000000000000000000100000000000000000",
"000000000100000000000000000000000000",
"000000000000000000000100000000000000",
"000000000010000000000000000000000000",
"000000000000000000000000100000000000",
"000000000000000000000000001000000000",
"000000000000100000000000000000000000",
"000000000000000000000000000001000000",
"000000000000000000000000000000010000",
"000000000000001000000000000000000000",
"000000000000000000000000000000000010",
"000000000000000000000000000000000001",
"000000000000000010000000000000000000",
"524313604060101125622634512005050043",
"000000000000000001000000000000000000",
"526141316406030060050030100102000040",
"003436421335642404103522003010040055",
"000000000000000000010000000000000000",
"342551266311246644550123303002100054",
"000000000000000000001000000000000000",
"343466111066402155365515202001021062",
"344342315206254020535301500004020106",
"000000000000000000000010000000000000",
"000000000000000000000001000000000000"]);

y:=CambridgeMatrix(1,F,36,[
"001000000000000000000000000000000000",
"566000000000000000000000000000000000",
"000010000000000000000000000000000000",
"000001000000000000000000000000000000",
"000000010000000000000000000000000000",
"000000000100000000000000000000000000",
"000000000010000000000000000000000000",
"451060010000000000000000000000000000",
"000000000000100000000000000000000000",
"000000000000001000000000000000000000",
"000000000000000010000000000000000000",
"000000000000000001000000000000000000",
"000000000000000000010000000000000000",
"000000000000000000001000000000000000",
"000000000000000000000010000000000000",
"000000000000000000000001000000000000",
"000000000000000000000000010000000000",
"000000000000000000000000000100000000",
"000000000000000000000000000010000000",
"000000000000000000000000000000100000",
"000000000000000000000000000000001000",
"000000000000000000000000000000000100",
"000100000000000000000000000000000000",
"203064665545620030423544360612444444",
"165163365435063313224125622352032442",
"224652364223155660564166540404662331",
"045326444334205231245055153212162416",
"523633616310052042435066661013436266",
"301660535300212200511251330104425216",
"032531304253540465265462313205213645",
"242330134615303313264553321634605120",
"411131442210353613425646066632115112",
"613555563054314240612431613212654242",
"225050632430344606143636513042232316",
"633025516515534653361005306412252605",
"300605445641336523256023354554306112"]);

G<x,y>:=MatrixGroup<36,F|x,y>;
print "Group G is J2:2 < GL(36,GF(7))";