/*
www-ATLAS of Group Representations.
U3(3) represented as 32 x 32 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,32,[
"01000000000000000000000000000000",
"10000000000000000000000000000000",
"00010000000000000000000000000000",
"00100000000000000000000000000000",
"00000010000000000000000000000000",
"00000000100000000000000000000000",
"00001000000000000000000000000000",
"00000000000100000000000000000000",
"00000100000000000000000000000000",
"00000000000000100000000000000000",
"00000000000000001000000000000000",
"00000001000000000000000000000000",
"00000000000000000001000000000000",
"00000000000000000000100000000000",
"00000000010000000000000000000000",
"00000000000000000000000100000000",
"00000000001000000000000000000000",
"00000000000000000000000000100000",
"00000000000000000000000000001000",
"00000000000010000000000000000000",
"00000000000001000000000000000000",
"00110010110010001000000101100010",
"00000000000000000000000000000001",
"00000000000000010000000000000000",
"01010011011010001100010011011000",
"11001000100000111111010000001010",
"00000000000000000100000000000000",
"00000001000100010000000100010000",
"00000000000000000010000000000000",
"11111100011110010110010101011110",
"11110100101000001010000000001010",
"00000000000000000000001000000000"]);

y:=CambridgeMatrix(1,F,32,[
"00100000000000000000000000000000",
"01100000000000000000000000000000",
"00001000000000000000000000000000",
"00000100000000000000000000000000",
"00000001000000000000000000000000",
"00000000010000000000000000000000",
"00000000001000000000000000000000",
"00000000000010000000000000000000",
"00000000000001000000000000000000",
"00000000000000010000000000000000",
"00000000000000000100000000000000",
"00000000000000000010000000000000",
"10101001000010000000000000000000",
"00000000000000000000010000000000",
"00000000000000000000001000000000",
"00000000000000000000000010000000",
"00000000000000000000000001000000",
"00000000000000000000000000010000",
"00000000000000000000000000000100",
"00000000000000000000000000000010",
"01111001010001010000011110110000",
"11110101100000100000100011010110",
"01011010111000110110000100000010",
"01001101111101000010100100100000",
"10110111100101110000100101001100",
"10011001000010110000110100010010",
"00011000000100111100110001100000",
"00101001110111100100100111001100",
"11101010111110011010111101000101",
"01111011001011111010101001000111",
"10100011101100000101100001101011",
"11110001110010100100011001000100"]);

G<x,y>:=MatrixGroup<32,F|x,y>;
print "Group G is U3(3) < GL(32,GF(2))";