/*
www-ATLAS of Group Representations.
U3(4) represented as 36 x 36 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,36,[
"010000000000000000000000000000000000",
"100000000000000000000000000000000000",
"000100000000000000000000000000000000",
"001000000000000000000000000000000000",
"000001000000000000000000000000000000",
"000010000000000000000000000000000000",
"000000001000000000000000000000000000",
"000000000100000000000000000000000000",
"000000100000000000000000000000000000",
"000000010000000000000000000000000000",
"000000000000010000000000000000000000",
"111100000001000000000000000000000000",
"000000000000000100000000000000000000",
"000000000010000000000000000000000000",
"000000000000000000100000000000000000",
"000000000000100000000000000000000000",
"000000000000000000001000000000000000",
"000000000000000000000100000000000000",
"000000000000001000000000000000000000",
"000000000000000000000000100000000000",
"000000000000000010000000000000000000",
"000000000000000001000000000000000000",
"000000000000000000000000000010000000",
"000000000000000000000000000001000000",
"000000000000000000010000000000000000",
"111100000000100111001100010000000000",
"000000000000000000000000000000001000",
"001111111110110101000101000101000000",
"000000000000000000000010000000000000",
"000000000000000000000001000000000000",
"110010100111001101110000100101100010",
"111100010100001010111010100010010000",
"000000000000000000000000001000000000",
"000111010010011011010111001001011110",
"110000000000000000000000000000000010",
"110101100011000100111100000111010001"]);

y:=CambridgeMatrix(1,F,36,[
"110000000000000000000000000000000000",
"001000000000000000000000000000000000",
"011000000000000000000000000000000000",
"000010000000000000000000000000000000",
"000000100000000000000000000000000000",
"000000010000000000000000000000000000",
"000100000000000000000000000000000000",
"000000000010000000000000000000000000",
"000000000001000000000000000000000000",
"000000000000100000000000000000000000",
"000001000000000000000000000000000000",
"000000000000001000000000000000000000",
"000000000000000010000000000000000000",
"000000000000000001000000000000000000",
"000000001000000000000000000000000000",
"000000000000000000010000000000000000",
"000000000100000000000000000000000000",
"000000000000000000000010000000000000",
"000000000000000000000001000000000000",
"000000000000000000000000010000000000",
"000000000000000000000000001000000000",
"000000000000000000000000000100000000",
"000000000000010000000000000000000000",
"000000000000000000000000000000100000",
"000000000000000000000000000000010000",
"000000000000000100000000000000000000",
"000000000000000000000000000000000100",
"000000000000000000000000000000000010",
"000000000000000000000000000000000001",
"100010000110001011100100111010001111",
"000000000000000000100000000000000000",
"101100111001111101100001111101110011",
"010110001100111000100011101000011100",
"000000000000000000001000000000000000",
"000000000000000000000100000000000000",
"100000110100111001110010100111001010"]);

G<x,y>:=MatrixGroup<36,F|x,y>;
print "Group G is U3(4) < GL(36,GF(2))";