/*
www-ATLAS of Group Representations.
M22:2 represented as 34 x 34 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,34,[
"0100000000000000000000000000000000",
"1000000000000000000000000000000000",
"0001000000000000000000000000000000",
"0010000000000000000000000000000000",
"0000001000000000000000000000000000",
"0000000100000000000000000000000000",
"0000100000000000000000000000000000",
"0000010000000000000000000000000000",
"0000000000010000000000000000000000",
"0000000000000100000000000000000000",
"0000000000000001000000000000000000",
"0000000010000000000000000000000000",
"0000000000000000001000000000000000",
"0000000001000000000000000000000000",
"0000000000000000000010000000000000",
"0000000000100000000000000000000000",
"0000111101000110100010000000000000",
"0000000000000000000000001000000000",
"0000000000001000000000000000000000",
"0011000011011110001100000100000000",
"0000000000000010000000000000000000",
"0000000000000000000000000000100000",
"0000000000000000000000000000010000",
"0000000000000000000000000000000100",
"0000000000000000010000000000000000",
"0000000000000010000010000100000000",
"1100000000100011010001101110110000",
"1111101000101001011011101101110000",
"0000000000000000000001000000000000",
"0000000000000000000000100000000000",
"0011000011111101001010010100001100",
"0000000000000000000000010000000000",
"0011111101100111010010101000010010",
"1100101011011110011011011000100101"]);

y:=CambridgeMatrix(1,F,34,[
"0010000000000000000000000000000000",
"0110000000000000000000000000000000",
"0000100000000000000000000000000000",
"0000010000000000000000000000000000",
"1010100000000000000000000000000000",
"0000000010000000000000000000000000",
"0000000001000000000000000000000000",
"0000000000100000000000000000000000",
"0000000000001000000000000000000000",
"0000000000000010000000000000000000",
"0000000000000000100000000000000000",
"0000000000000000010000000000000000",
"0001000000000000000000000000000000",
"0000000000000000000100000000000000",
"0000000000000000000001000000000000",
"0000000000000000000000100000000000",
"0000000000000000000000010000000000",
"0000000000000000000000000100000000",
"0000000000000000000000000010000000",
"0000000000000000000000000001000000",
"0010100111101110110101100010000000",
"0000001000000000000000000000000000",
"0000000000000000000000000000001000",
"0000000100000000000000000000000000",
"1001000101011111101000101111000000",
"1000001101101011000001010011000100",
"0000000000000000000000000000000010",
"1010011111110111001010010000000000",
"0000000000000000000000000000000001",
"0101110111001010110101011010010110",
"0110100011011100101011111110001110",
"1001010010000101101011110000000010",
"0001010010001000001000000010000010",
"1010001010110001100110011111111010"]);

G<x,y>:=MatrixGroup<34,F|x,y>;
print "Group G is M22:2 < GL(34,GF(2))";