/*
www-ATLAS of Group Representations.
U6(2) represented as 34 x 34 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,34,[
"0100000000000000000000000000000000",
"1000000000000000000000000000000000",
"0001000000000000000000000000000000",
"0010000000000000000000000000000000",
"0000001000000000000000000000000000",
"0000000010000000000000000000000000",
"0000100000000000000000000000000000",
"0000000000010000000000000000000000",
"0000010000000000000000000000000000",
"0000000000000010000000000000000000",
"0000000100110000000000000000000000",
"0000000100000000000000000000000000",
"0000000000000000010000000000000000",
"1100111011000110000000000000000000",
"0000000001000000000000000000000000",
"0000000000000000000010000000000000",
"0000000000000000000000100000000000",
"0000000000001000000000000000000000",
"0000000000001000011000000000000000",
"0000000000000001000110000000000000",
"0000000000000001000000000000000000",
"1111010111011010010001000000000000",
"0000000000000000100000000000000000",
"1111101000001001010010010000000000",
"0011000000001001110010101000000000",
"0000010010000000000000000100000000",
"1111101101011010010000000010000000",
"0000000000000000000000000000000100",
"0011101000001001010010000000100000",
"0000000000000000000000000000010000",
"1111101101011011110010100000001000",
"0000000000000000000000000001000000",
"0011101100011000010000000000000010",
"1100010011001010110000100000000001"]);

y:=CambridgeMatrix(1,F,34,[
"0010000000000000000000000000000000",
"0110000000000000000000000000000000",
"0000100000000000000000000000000000",
"0000010000000000000000000000000000",
"0000000100000000000000000000000000",
"0000000001000000000000000000000000",
"0000000000100000000000000000000000",
"0000000000001000000000000000000000",
"0000000000000100000000000000000000",
"0000000000000001000000000000000000",
"0000000000000000100000000000000000",
"1000111011001100000000000000000000",
"1001001000010000010000000000000000",
"0000000000000000001000000000000000",
"0000000000000000000100000000000000",
"0000000000000000000001000000000000",
"0000000000000000000000010000000000",
"1001000111110100010000000000000000",
"0000000000000000000000001000000000",
"0000000000000000000000000100000000",
"0000000000000000000000000010000000",
"0000000000000000000000000001000000",
"0000000000000000000000000000100000",
"1000000101100011010101000000000000",
"0000000000000000000000000000010000",
"1111010011001010111000000001000000",
"0000000000000000000000000000001000",
"0000000000000000000000000000000010",
"0000000000000000000000000000000001",
"0011110010110010011000011101010000",
"1010101101101000010001100100010100",
"1010000010001001011010001111001110",
"0001000000000000000000000000000000",
"0001000110011010001010000111010001"]);

G<x,y>:=MatrixGroup<34,F|x,y>;
print "Group G is U6(2) < GL(34,GF(2))";