/*
www-ATLAS of Group Representations.
S8 represented as 40 x 40 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,40,[
"0100000000000000000000000000000000000000",
"1000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000",
"0000001000000000000000000000000000000000",
"0010000000000000000000000000000000000000",
"0000000001000000000000000000000000000000",
"0001000000000000000000000000000000000000",
"0000000000001000000000000000000000000000",
"0000000000000010000000000000000000000000",
"0000010000000000000000000000000000000000",
"0000000000000000100000000000000000000000",
"0000000000000000001000000000000000000000",
"0000000100000000000000000000000000000000",
"0000000000000000000001000000000000000000",
"0000000010000000000000000000000000000000",
"0000000000000000000000001000000000000000",
"0000000000100000000000000000000000000000",
"0000000000000000000000000001000000000000",
"0000000000010000000000000000000000000000",
"0000000000000000000000000000001000000000",
"0000000000000000000000000000000010000000",
"0000000000000100000000000000000000000000",
"0000000000000000000000000000000000010000",
"0000000000000000000000000000000000001000",
"0000000000000001000000000000000000000000",
"0000000000000000000000000000000000000001",
"1000010010100100101010111100110111101011",
"0000000000000000010000000000000000000000",
"0001000100100010101111100001001011000001",
"1111111101001001000100001100011000000001",
"0000000000000000000100000000000000000000",
"1010110110110110110001101110011101001100",
"0000000000000000000010000000000000000000",
"0000001010111100110110000100101010010000",
"1011000011001111000111010100010010101000",
"0000000000000000000000100000000000000000",
"0000000000000000000000010000000000000000",
"1011110000001000000100001011011100100111",
"1011000111011101001000000101110100101101",
"0000000000000000000000000100000000000000"]);

y:=CambridgeMatrix(1,F,40,[
"0010000000000000000000000000000000000000",
"0001000000000000000000000000000000000000",
"0000010000000000000000000000000000000000",
"0000000100000000000000000000000000000000",
"0000000010000000000000000000000000000000",
"0000000000100000000000000000000000000000",
"0000000000010000000000000000000000000000",
"0000000000000100000000000000000000000000",
"0110110010000000000000000000000000000000",
"0000000000000001000000000000000000000000",
"0000000000000000010000000000000000000000",
"0000000000000000000100000000000000000000",
"0000000000000000000010000000000000000000",
"0000000000000000000000100000000000000000",
"0000000000000000000000010000000000000000",
"0000000000000000000000000100000000000000",
"0000000000000000000000000010000000000000",
"0000000000000000000000000000100000000000",
"0000000000000000000000000000010000000000",
"0000000000000000000000000000000100000000",
"0000000000000000000000000000000001000000",
"0000000000000000000000000000000000100000",
"1001110110000000010000100000100000000000",
"0000000000000000000000000000000000000100",
"0000000000000000000000000000000000000010",
"1110100000100001110000000000000101111011",
"1000100101001010110010010011111111011000",
"0101101011100001010100110010010011000010",
"0111101101001010001100101000010001111101",
"0111001101011110111111100101100110000100",
"0010101101101111110010000000010100011110",
"0111011100011100101100100100011000110010",
"1000000011011111011101001101010100000000",
"0100010101100001111000101011000101100101",
"0111001010001111101001000111111100010011",
"0110111010111011000110001111110100000101",
"1100011111010110000110101100000001000100",
"0001110101111000010010011100001111111100",
"0100111000101011101101100100011111110100",
"1111100010110000101110000110010001001101"]);

G<x,y>:=MatrixGroup<40,F|x,y>;
print "Group G is S8 < GL(40,GF(2))";