/*
www-ATLAS of Group Representations.
M11 represented as 32 x 32 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,32,[
"01000000000000000000000000000000",
"10000000000000000000000000000000",
"00010000000000000000000000000000",
"00100000000000000000000000000000",
"00000010000000000000000000000000",
"00000001000000000000000000000000",
"00001000000000000000000000000000",
"00000100000000000000000000000000",
"00000000000100000000000000000000",
"00000000000001000000000000000000",
"00000000000000010000000000000000",
"00000000100000000000000000000000",
"00000000000000000010000000000000",
"00000000010000000000000000000000",
"00000000000000000000100000000000",
"00000000001000000000000000000000",
"00000000000000000000000100000000",
"00001111001000011100000100000000",
"00000000000010000000000000000000",
"00000000000000000000000000010000",
"00000000000000100000000000000000",
"00000000000000000000000000000010",
"11000100001101100111000101001010",
"00000000000000001000000000000000",
"11100011111010110111110000010110",
"00101000000010110001001110001110",
"11010110101100000001101101100110",
"00000000000000000001000000000000",
"11100110111000110101110010011110",
"11010011000111101111110110010010",
"00000000000000000000010000000000",
"00111101111000111010001101011011"]);

y:=CambridgeMatrix(1,F,32,[
"00100000000000000000000000000000",
"10000000000000000000000000000000",
"00001000000000000000000000000000",
"00000100000000000000000000000000",
"01000000000000000000000000000000",
"00000000100000000000000000000000",
"00000000010000000000000000000000",
"00000000001000000000000000000000",
"00000000000010000000000000000000",
"00000000000000100000000000000000",
"00000000000000001000000000000000",
"00000000000000000100000000000000",
"00010000000000000000000000000000",
"00000000000000000001000000000000",
"00000000000000000000010000000000",
"00000000000000000000001000000000",
"00000000000000000000000010000000",
"00000000000000000000000001000000",
"00000000000000000000000000100000",
"00000000000000000000000000001000",
"00000000000000000000000000000100",
"00000010000000000000000000000000",
"00010101111010011111110011000100",
"11001111111000110001110110010010",
"00000001000000000000000000000000",
"00000000000000000000000000000001",
"11011111100101110010110111111000",
"00101000000011110111101110011111",
"11010011100110101011110110111010",
"00101000000010110001001110001110",
"01011100100011011011001011100011",
"00000000000100000000000000000000"]);

G<x,y>:=MatrixGroup<32,F|x,y>;
print "Group G is M11 < GL(32,GF(2))";