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

F:=GF(7);

x:=CambridgeMatrix(1,F,36,[
"010000000000000000000000000000000000",
"100000000000000000000000000000000000",
"000010000000000000000000000000000000",
"000001000000000000000000000000000000",
"001000000000000000000000000000000000",
"000100000000000000000000000000000000",
"000000001000000000000000000000000000",
"000000000100000000000000000000000000",
"000000100000000000000000000000000000",
"000000010000000000000000000000000000",
"000000000000010000000000000000000000",
"000000000000001000000000000000000000",
"000000000000000010000000000000000000",
"000000000010000000000000000000000000",
"000000000001000000000000000000000000",
"341364641322555120000000000000000000",
"000000000000100000000000000000000000",
"000000000000000000100000000000000000",
"000000000000000001000000000000000000",
"000000000000000000001000000000000000",
"000000000000000000010000000000000000",
"000000000000000000000001000000000000",
"000000000000000000000000100000000000",
"000000000000000000000100000000000000",
"000000000000000000000010000000000000",
"000000000000000000000000000100000000",
"000000000000000000000000000010000000",
"000000000000000000000000010000000000",
"000000000000000000000000001000000000",
"000000000000000000000000000000010000",
"000000000000000000000000000000000100",
"000000000000000000000000000001000000",
"162651010641036000016050211660101600",
"000000000000000000000000000000100000",
"043030663656350446650656135500105360",
"362065233551665112243646666556161006"]);

y:=CambridgeMatrix(1,F,36,[
"001000000000000000000000000000000000",
"000100000000000000000000000000000000",
"011600000000000000000000000000000000",
"611000000000000000000000000000000000",
"000000100000000000000000000000000000",
"000000010000000000000000000000000000",
"055060600000000000000000000000000000",
"000000000010000000000000000000000000",
"000000000001000000000000000000000000",
"000000000000100000000000000000000000",
"000001000000000000000000000000000000",
"000000000000000100000000000000000000",
"000000000000000001000000000000000000",
"525164600433251201000000000000000000",
"011445131455212650000000000000000000",
"000000001000000000000000000000000000",
"602336306342056100000000000000000000",
"000000000100000000000000000000000000",
"000000000000000000010000000000000000",
"000000000000000000000100000000000000",
"000000000000000000000010000000000000",
"000000000000000000100000000000000000",
"000000000000000000000000010000000000",
"000000000000000000000000001000000000",
"163111126353453566030051000000000000",
"000000000000000000001000000000000000",
"150323001240013130402000100000000000",
"000000000000000000000000000001000000",
"000000000000000000000000000000100000",
"000000000000000000000000000000001000",
"640543545203335006251400501011006100",
"000000000000000000000000000000000010",
"000000000000000000000000000100000000",
"516024106132434556645222600110606000",
"000000000000000000000000000000000001",
"000000000000000000000000000000010000"]);

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