/*
www-ATLAS of Group Representations.
A9 represented as 20 x 20 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"00010000000000000000",
"00001000000000000000",
"10000000000000000000",
"00000001000000000000",
"00000000010000000000",
"00000000000100000000",
"00100000000000000000",
"00000000000000100000",
"00000000000000001000",
"00000000000000000010",
"01000110100001010010",
"11110100110100101100",
"10100010010010100011",
"10010100000101110010",
"00100000111011011011",
"00000100000000000000",
"00101010000010100100",
"10010000111101011000",
"11001010011011101101"]);

y:=CambridgeMatrix(1,F,20,[
"00100000000000000000",
"01100000000000000000",
"00000100000000000000",
"00000010000000000000",
"00000000100000000000",
"00000000001000000000",
"00000000000010000000",
"00000000000001000000",
"00000000000000010000",
"00000000000000000100",
"10000000111000011010",
"10101001000100011100",
"00000000000000000001",
"11010110010111000101",
"10001111101011100010",
"10111111001101010100",
"00111111011000011110",
"00001101000010000001",
"11000000100101000100",
"11011000011000100110"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is A9 < GL(20,GF(2))";