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

F:=GF(2);

x:=CambridgeMatrix(1,F,36,[
"010000000000000000000000000000000000",
"100000000000000000000000000000000000",
"000010000000000000000000000000000000",
"000000100000000000000000000000000000",
"001000000000000000000000000000000000",
"000000000100000000000000000000000000",
"000100000000000000000000000000000000",
"000000000001000000000000000000000000",
"000000000000100000000000000000000000",
"000001000000000000000000000000000000",
"000000000000001000000000000000000000",
"000000010000000000000000000000000000",
"000000001000000000000000000000000000",
"000000000000000000100000000000000000",
"000000000010000000000000000000000000",
"000000000000000000000100000000000000",
"000000000000000000000010000000000000",
"000000000000000000000000100000000000",
"000000000000010000000000000000000000",
"000000000000000000000000000100000000",
"000000000000000000000000000001000000",
"000000000000000100000000000000000000",
"000000000000000010000000000000000000",
"000000000000000000000000000000000100",
"000000000000000001000000000000000000",
"000010001000101110110100110010010111",
"000100110011001110011111001101000100",
"000000000000000000010000000000000000",
"110000011011111000110000000110000000",
"000000000000000000001000000000000000",
"000100101000110011110011100100100100",
"111101110101001010111000100011000111",
"100001111001001100111010111100100101",
"000000000000000000000001000000000000",
"010001101000001001110110011101101111",
"010110000100100000001101011110111111"]);

y:=CambridgeMatrix(1,F,36,[
"001000000000000000000000000000000000",
"000100000000000000000000000000000000",
"000001000000000000000000000000000000",
"000000010000000000000000000000000000",
"000000001000000000000000000000000000",
"100110011000000000000000000000000000",
"000000000010000000000000000000000000",
"111011010000000000000000000000000000",
"010011001000000000000000000000000000",
"000000000000010000000000000000000000",
"000000000000000100000000000000000000",
"000000000000000010000000000000000000",
"000000000000000001000000000000000000",
"000000000000000000010000000000000000",
"000000000000000000001000000000000000",
"001111111010000100000000000000000000",
"000000000000000000000001000000000000",
"000000000000000000000000010000000000",
"000000000000000000000000001000000000",
"000000000000000000000000000010000000",
"000000000000000000000000000000100000",
"000000000000000000000000000000010000",
"000000000000000000000000000000001000",
"000000000000000000000000000000000010",
"000000000000000000000000000000000001",
"101011010111000110100000101101101100",
"101000110100010011000000111100010011",
"010101011111011110100001101010001111",
"000000000100000000000000000000000000",
"001110101110101110101011111001101001",
"101111000100011000011000000010100000",
"110000011111100011100101101110010011",
"100110101111000100110101011011111001",
"100001010100001101100110111110101101",
"000000000001000000000000000000000000",
"000101001101101111101111001100101011"]);

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