/*
www-ATLAS of Group Representations.
M11 represented as 44 x 44 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,44,[
"01000000000000000000000000000000000000000000",
"10000000000000000000000000000000000000000000",
"00001000000000000000000000000000000000000000",
"00000100000000000000000000000000000000000000",
"00100000000000000000000000000000000000000000",
"00010000000000000000000000000000000000000000",
"00000000010000000000000000000000000000000000",
"00000000000100000000000000000000000000000000",
"00000000000010000000000000000000000000000000",
"00000010000000000000000000000000000000000000",
"00000000000000010000000000000000000000000000",
"00000001000000000000000000000000000000000000",
"00000000100000000000000000000000000000000000",
"00000000000000000010000000000000000000000000",
"00000000000000000000100000000000000000000000",
"00000000001000000000000000000000000000000000",
"00000000000000000000000100000000000000000000",
"00000000000000000000000001000000000000000000",
"00000000000001000000000000000000000000000000",
"00000000000000000000000000001000000000000000",
"00000000000000100000000000000000000000000000",
"00000000000000000000000000000010000000000000",
"11111100000000000000001000000000000000000000",
"00000000000000001000000000000000000000000000",
"00000000000000000000000000000000001000000000",
"00000000000000000100000000000000000000000000",
"00000000000000000000000000000000000001000000",
"00000000000000000000000000000000000000010000",
"00000000000000000001000000000000000000000000",
"10000100100001010101010101000010101000010100",
"00000000000000000000010000000000000000000000",
"00101111001011000000001001011100000001000100",
"00010000011111001100001110111101101000000100",
"11100101101010110101111000010010100000100001",
"00000000000000000000000010000000000000000000",
"00001110010100101100010011100110101011000010",
"01000101001110000111111010001010110100100111",
"00000000000000000000000000100000000000000000",
"01110111011011001100011010000110010000000101",
"00000000000000000000000000010000000000000000",
"10011000111010010100101000110101001110011010",
"01000000010101000010011101100011101000000100",
"11100010100000011010010110010111111001110111",
"01000011101010110000101101110001101000010001"]);

y:=CambridgeMatrix(1,F,44,[
"00100000000000000000000000000000000000000000",
"00010000000000000000000000000000000000000000",
"11011000000000000000000000000000000000000000",
"00000010000000000000000000000000000000000000",
"00000001000000000000000000000000000000000000",
"00000000100000000000000000000000000000000000",
"00000000001000000000000000000000000000000000",
"01011010001000000000000000000000000000000000",
"00000000000001000000000000000000000000000000",
"00000000000000100000000000000000000000000000",
"01000000000000000000000000000000000000000000",
"00000000000000001000000000000000000000000000",
"00000000000000000100000000000000000000000000",
"00000000000000000001000000000000000000000000",
"00000000000000000000010000000000000000000000",
"00000000000000000000001000000000000000000000",
"00000000000000000000000010000000000000000000",
"00000000000000000000000000100000000000000000",
"00000000000000000000000000010000000000000000",
"00000100000000000000000000000000000000000000",
"00000000000000000000000000000100000000000000",
"00000000000000000000000000000001000000000000",
"00000000000000000000000000000000100000000000",
"00000000000000000000000000000000010000000000",
"00000000000000000000000000000000000100000000",
"00000000000000000000000000000000000010000000",
"00000000000000000000000000000000000000100000",
"00000000000000000000000000000000000000001000",
"00000000000000000000000000000000000000000100",
"00000000000000000000000000000000000000000010",
"00000000000000000000000000000000000000000001",
"00000000010000000000000000000000000000000000",
"01101111000010101011000110010001010110011001",
"10100111010001010010000010110010110000101011",
"00010010010111100111100110000100011000001000",
"00000000000100000000000000000000000000000000",
"01110010000010000011000001010001110011111110",
"00110110011110100110000100111111100110111001",
"00000000000010000000000000000000000000000000",
"01010100111110101011001001010111111010010001",
"11000010110111101010110000010001101011010110",
"11001101000101101101111100111101001110010011",
"10010000101011000000000010000100101111011100",
"11010100101110000100101000110101000110011010"]);

G<x,y>:=MatrixGroup<44,F|x,y>;
print "Group G is M11 < GL(44,GF(2))";