/*
www-ATLAS of Group Representations.
A8 represented as 20 x 20 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"00010000000000000000",
"00000100000000000000",
"10000000000000000000",
"00000000100000000000",
"00000000001000000000",
"00000000000010000000",
"00000000000000100000",
"00000000000000001000",
"11001111110001100100",
"00100000000000000000",
"11011100011100000100",
"00101110101010001000",
"10011010101111101100",
"00000000000000000001",
"01010010010010001011",
"00001000000000000000",
"11100110111101001101",
"11011111000011010110",
"00000001000000000000"]);

y:=CambridgeMatrix(1,F,20,[
"00100000000000000000",
"00001000000000000000",
"00000010000000000000",
"00000001000000000000",
"00000000010000000000",
"00000000000100000000",
"00000000000001000000",
"00000000000000010000",
"00000000000000000100",
"00000000000000000010",
"11011110111110001000",
"01000110000100000000",
"11100011010000101010",
"00011011000101111110",
"01011100111110011100",
"00001110010000000111",
"00001001001010001101",
"01010010110010111001",
"01010010101101101101",
"01101001101101101001"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is A8 < GL(20,GF(2))";