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

F:=GF(2);

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",
"000000000000000000000000000000000100",
"000000000000000000000000000000000010",
"000000000000000010000000000000000000",
"001110100110010101000001011000000010",
"000000000000000001000000000000000000",
"001101001110111100110100000101000000",
"110001011001100011101001101010010010",
"000000000000000000010000000000000000",
"111111111011100111100011101000100110",
"000000000000000000001000000000000000",
"000000010111011111011100101001011000",
"000000000000000000000010000000000000",
"000000000000000000000001000000000000",
"111100000100010001001011001000010111"]);

y:=CambridgeMatrix(1,F,36,[
"001000000000000000000000000000000000",
"011000000000000000000000000000000000",
"000010000000000000000000000000000000",
"000001000000000000000000000000000000",
"000000010000000000000000000000000000",
"000000000100000000000000000000000000",
"000000000010000000000000000000000000",
"101010010000000000000000000000000000",
"000000000000100000000000000000000000",
"000000000000001000000000000000000000",
"000000000000000010000000000000000000",
"000000000000000001000000000000000000",
"000000000000000000010000000000000000",
"000000000000000000001000000000000000",
"000000000000000000000010000000000000",
"000000000000000000000001000000000000",
"000000000000000000000000010000000000",
"000000000000000000000000000100000000",
"000000000000000000000000000010000000",
"000000000000000000000000000000100000",
"001110001110101100010100100110010000",
"000000000000000000000000000000001000",
"000100000000000000000000000000000000",
"000000000000000000000000000000000001",
"100010001000010000111001011000000010",
"011111100110000101010000101001111110",
"110110000100111001100000011111000010",
"110101100100100000110010000000011100",
"000110000100100100010010110111101001",
"010011000000111010001110111001000100",
"100100011010100001110011100000100111",
"010100001001111110000000011111101000",
"111010100111100100101000010101010001",
"001011001001111011001000001100000101",
"011101000111011001000101011100111111",
"110111000100110001010111101110111110"]);

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