/*
www-ATLAS of Group Representations.
A11 represented as 32 x 32 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,32,[
"01000000000000000000000000000000",
"11000000000000000000000000000000",
"00010000000000000000000000000000",
"00110000000000000000000000000000",
"00000010000000000000000000000000",
"00000000100000000000000000000000",
"00001010000000000000000000000000",
"00000000000100000000000000000000",
"00000100100000000000000000000000",
"00000000000000100000000000000000",
"00000000000000001000000000000000",
"00000001000100000000000000000000",
"00000000000000000010000000000000",
"00000000000000000000100000000000",
"00000000010000100000000000000000",
"00000000000000000000001000000000",
"00000000001000001000000000000000",
"00000000000000000000000010000000",
"00000000000010000010000000000000",
"00111101111111010011101100000000",
"00000000000001000000100000000000",
"00000000000000000000000000010000",
"00000000000000010000001000000000",
"00100111000011111001000000000000",
"00000000000000000100000010000000",
"11110101111000001010100100001000",
"11000000001010011110100010100110",
"00000000000000000000010000010000",
"01110110110100010001000101001000",
"11000110011101111001011000000001",
"01000110010110111101110000100001",
"01110000011110111010010100010101"]);

y:=CambridgeMatrix(1,F,32,[
"01000000000000000000000000000000",
"00100000000000000000000000000000",
"00001000000000000000000000000000",
"00000100000000000000000000000000",
"00000001000000000000000000000000",
"00000000010000000000000000000000",
"00000000001000000000000000000000",
"00000000000010000000000000000000",
"00000000000001000000000000000000",
"00000000000000010000000000000000",
"00000000000000000100000000000000",
"00000001000110101100000000000000",
"00000000000000000001000000000000",
"00000000000000000000010000000000",
"00111100111110010000010000000000",
"00000000000000000000000100000000",
"00000000010011101000100000000000",
"00000000000000000000000001000000",
"00110101100010101010011111000000",
"00000000000000000000000000100000",
"11100011000011110100000000000000",
"00000000000000000000000000001000",
"00001111001000100111000000001000",
"00000000000000000000000000000100",
"00100100011110111100001111011000",
"00000000000000000000000000000010",
"00000000000000000000000000000001",
"00111101010100000001011001001000",
"11110011100110010011111000000101",
"00001001011101101010110010000100",
"11010100110100010111000010001110",
"10000000000000000000000000000000"]);

G<x,y>:=MatrixGroup<32,F|x,y>;
print "Group G is A11 < GL(32,GF(2))";