/*
www-ATLAS of Group Representations.
2.J2 represented as 50 x 50 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,50,[
"01000000000000000000000000000000000000000000000000",
"40000000000000000000000000000000000000000000000000",
"00010000000000000000000000000000000000000000000000",
"00400000000000000000000000000000000000000000000000",
"00000100000000000000000000000000000000000000000000",
"00004000000000000000000000000000000000000000000000",
"00000000100000000000000000000000000000000000000000",
"00000000010000000000000000000000000000000000000000",
"00000040000000000000000000000000000000000000000000",
"00000004000000000000000000000000000000000000000000",
"00000000000010000000000000000000000000000000000000",
"00000000000001000000000000000000000000000000000000",
"00000000004000000000000000000000000000000000000000",
"00000000000400000000000000000000000000000000000000",
"00000000000000001000000000000000000000000000000000",
"00000000000000000010000000000000000000000000000000",
"00000000000000400000000000000000000000000000000000",
"00000000000000000000010000000000000000000000000000",
"00000000000000040000000000000000000000000000000000",
"00000000000000000000000100000000000000000000000000",
"00000000000000000000000010000000000000000000000000",
"00000000000000000400000000000000000000000000000000",
"00000000000000000000000000010000000000000000000000",
"00000000000000000004000000000000000000000000000000",
"00000000000000000000400000000000000000000000000000",
"00000000000000000000000000000001000000000000000000",
"00000000000000000000000000000000100000000000000000",
"00000000000000000000004000000000000000000000000000",
"00000000000000000000000000000000010000000000000000",
"00000000000000000000000000000000001000000000000000",
"43400010020000000300000000000000000400000000000000",
"00000000000000000000000004000000000000000000000000",
"00000000000000000000000000400000000000000000000000",
"00000000000000000000000000004000000000000000000000",
"00000000000000000000000000000400000000000000000000",
"24040003100000000000030000000010000000000000000000",
"00000000000000000000000000000000000000000100000000",
"00000000000000000000000000000000000000000010000000",
"00000000000000000000000000000000000000000000100000",
"00000000000000000000000000000000000000000000001000",
"00000000000000000000000000000000000000000000000010",
"00000000000000000000000000000000000040000000000000",
"00000000000000000000000000000000000004000000000000",
"24424124330404200144003332422334424010004343133030",
"00000000000000000000000000000000000000400000000000",
"24103132320403331112131421422022340103212010422040",
"00000000000000000000000000000000000000040000000000",
"34040423433104233242212323422334012104402112213331",
"00000000000000000000000000000000000000004000000000",
"00303031141421023312044440114220023441322143443042"]);

y:=CambridgeMatrix(1,F,50,[
"00100000000000000000000000000000000000000000000000",
"04400000000000000000000000000000000000000000000000",
"12100000000000000000000000000000000000000000000000",
"00001000000000000000000000000000000000000000000000",
"00000010000000000000000000000000000000000000000000",
"00000001000000000000000000000000000000000000000000",
"00010000000000000000000000000000000000000000000000",
"00000000001000000000000000000000000000000000000000",
"00000000000100000000000000000000000000000000000000",
"30020000100000000000000000000000000000000000000000",
"00000100000000000000000000000000000000000000000000",
"24200030010000000000000000000000000000000000000000",
"00000000000000100000000000000000000000000000000000",
"00000000000000010000000000000000000000000000000000",
"00000000000000000100000000000000000000000000000000",
"00000000000000000001000000000000000000000000000000",
"00000000000000000000100000000000000000000000000000",
"00000000000010000000000000000000000000000000000000",
"00000000000000000000001000000000000000000000000000",
"00000000000001000000000000000000000000000000000000",
"00000000000000000000000001000000000000000000000000",
"00000000000000000000000000100000000000000000000000",
"00000000000000000000000000001000000000000000000000",
"00000000000000000000000000000100000000000000000000",
"00000000000000000000000000000010000000000000000000",
"00000000000000001000000000000000000000000000000000",
"00000000000000000000000000040000000000000000000000",
"00000000000000000000040000000000000000000000000000",
"00000000000000000010000000000000000000000000000000",
"00000000000000000000000000000000000100000000000000",
"00000000000000000000000000000000000010000000000000",
"00000000000000000000000000000000000001000000000000",
"00000000000000000000000000000000000000100000000000",
"00000000000000000000000000000000000000010000000000",
"00000000000000000000000000000000000000001000000000",
"00000000000000000000000100000000000000000000000000",
"00000000000000000000000010000000000000000000000000",
"00000000000000000000000000000000000000000001000000",
"00000000000000000000000000000000000000000000010000",
"00000000000000000000000000000000000000000000000100",
"00000000000000000000000000000000000000000000000001",
"01044442224423400024412042140121443013423242040240",
"20310122030431101440011011401000404110210401224411",
"00000000000000000000000000000001000000000000000000",
"13002311303120213022411423444423213333122340431322",
"00000000000000000000000000000000100000000000000000",
"01334412124333410030222020233440322333130234001130",
"00000000000000000000000000000000010000000000000000",
"01044311414304113400423232231310140320112123204100",
"00000000000000000000000000000000001000000000000000"]);

G<x,y>:=MatrixGroup<50,F|x,y>;
print "Group G is 2.J2 < GL(50,GF(5))";