/*
www-ATLAS of Group Representations.
L2(32):5 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",
"0000000000000000010000000000000000000000",
"0000000100000000000000000000000000000000",
"0000000000000000000010000000000000000000",
"0000000010000000000000000000000000000000",
"0000000000000000000000100000000000000000",
"0000000000100000000000000000000000000000",
"0000000000010000000000000000000000000000",
"0000000000000000000000000010000000000000",
"0000000000000000000000000000100000000000",
"0000000000000100000000000000000000000000",
"0000000000000000000000000000000100000000",
"0000000000000001000000000000000000000000",
"0000000000000000000000000000000000100000",
"0000000000000000000000000000000000001000",
"0000000000000000000000000000000000000100",
"0000000000000000001000000000000000000000",
"0000000000000000000000000000000000000001",
"0000000000000000000100000000000000000000",
"1010000010110011001100111101101001101111",
"1110010000101011000101001010010110110101",
"0000000000000000000001000000000000000000",
"1101001000000001000001101101000110001101",
"0101110010101100000010011110111101011100",
"0000000000000000000000010000000000000000",
"1011101101110010100100100101000011101010",
"0000000000000000000000001000000000000000",
"0000000000000000000000000100000000000000",
"1111000000000100110011101011011011000100",
"0000000000000000000000000001000000000000"]);

y:=CambridgeMatrix(1,F,40,[
"0010000000000000000000000000000000000000",
"0001000000000000000000000000000000000000",
"0000010000000000000000000000000000000000",
"0000000100000000000000000000000000000000",
"0000000010000000000000000000000000000000",
"0000000000100000000000000000000000000000",
"0000000000010000000000000000000000000000",
"0000000000000100000000000000000000000000",
"0100110010000000000000000000000000000000",
"0000000000000001000000000000000000000000",
"1100010110000100000000000000000000000000",
"0000000000000000001000000000000000000000",
"0000000000000000000100000000000000000000",
"1111110010100100000000000000000000000000",
"0000000000000000000001000000000000000000",
"0000000000000000000000010000000000000000",
"0000000000000000000000001000000000000000",
"0000000000000000000000000100000000000000",
"0000000000000000000000000001000000000000",
"0000000000000000000000000000010000000000",
"0000000000000000000000000000001000000000",
"0000000000000000000000000000000010000000",
"0000000000000000000000000000000001000000",
"0000000000000000000000000000000000010000",
"0001101011101111111011001111111110100000",
"1111000101010111110111011110010001011000",
"0000000000000000000000000000000000000010",
"1001101010010000011100110001110010101010",
"1101110001100111001011000010100001111010",
"1000011011010111010011110011110101110001",
"0011101101101000010000011101001111010100",
"0111000001010011111110010011111111010100",
"1011110010101111010110011001110010110101",
"0101100001010101101101001101101110001011",
"1111001110100011010100110001001011110111",
"0010111010101001101001101000100111000001",
"1011001110001001110000110111110001001001",
"1111010111000001100000001111110111010110",
"0101001110110101111110011010111111111010",
"1101111111010101110001010011111111110000"]);

G<x,y>:=MatrixGroup<40,F|x,y>;
print "Group G is L2(32):5 < GL(40,GF(2))";