/*
www-ATLAS of Group Representations.
M22 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",
"0011101010000000000000000000000000",
"0000000000001000000000000000000000",
"0000000000000010000000000000000000",
"0000000000000000100000000000000000",
"0000000001000000000000000000000000",
"0000000000000000001000000000000000",
"0000000000100000000000000000000000",
"0000000000000000000001000000000000",
"0000000000010000000000000000000000",
"0000000000000000000000001000000000",
"0000000000000100000000000000000000",
"0000000000000000000000000001000000",
"0000000000000000000000000000100000",
"0000000000000001000000000000000000",
"0000000000000000000000000000000100",
"0000000000000000000000000000000010",
"0000000000000000010000000000000000",
"1111110111000011110000101101010110",
"1001100100010010001000000000001101",
"0000000000000000000100000000000000",
"0000000000000000000010000000000000",
"0011000001111011100101010001010010",
"0110001100010011001101100011000001",
"0000000000000000000000100000000000",
"0000000000000000000000010000000000",
"0000010100110111101101000001000001"]);

y:=CambridgeMatrix(1,F,34,[
"0010000000000000000000000000000000",
"0110000000000000000000000000000000",
"0000100000000000000000000000000000",
"0000010000000000000000000000000000",
"1010100000000000000000000000000000",
"0000000010000000000000000000000000",
"0000000001000000000000000000000000",
"0000000000100000000000000000000000",
"0000000000010000000000000000000000",
"0000000000000100000000000000000000",
"0000000000000001000000000000000000",
"0001000000000000000000000000000000",
"0000000000000000010000000000000000",
"0000000000000000000100000000000000",
"0000000000000000000010000000000000",
"0000000000000000000000100000000000",
"0000000000000000000000010000000000",
"0000000000000000000000000100000000",
"0000000000000000000000000010000000",
"0000001000000000000000000000000000",
"0000000000000000000000000000010000",
"0000000000000000000000000000001000",
"0000000100000000000000000000000000",
"0000010100001110100011110100010010",
"0000000000000000000000000000000001",
"1011001001001000100100000000011010",
"0011100010000000001000000000000000",
"1000010000111001011000101001110001",
"0000000110101101101111010011001001",
"0011011010010000110011110000001010",
"1010010011011000101010010111101011",
"0010010011001000010010111101111110",
"1011110000000100001001110111100001",
"0010011011011101001101111000100000"]);

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