/*
www-ATLAS of Group Representations.
L2(32):5 represented as 32 x 32 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,32,[
"01000000000000000000000000000000",
"10000000000000000000000000000000",
"00010000000000000000000000000000",
"00100000000000000000000000000000",
"00000010000000000000000000000000",
"00000000100000000000000000000000",
"00001000000000000000000000000000",
"00000000000100000000000000000000",
"00000100000000000000000000000000",
"00000000000001000000000000000000",
"00000000000000010000000000000000",
"00000001000000000000000000000000",
"00000000000000000010000000000000",
"00000000010000000000000000000000",
"00000000000000000000010000000000",
"00000000001000000000000000000000",
"00000000000000000000000010000000",
"00000000000000000000000000100000",
"00000000000010000000000000000000",
"00000000000000000000000000000100",
"00011010110010010010011001110000",
"00000000000000100000000000000000",
"00000000000000000000000000000010",
"00000000000000000000000000000001",
"00000000000000001000000000000000",
"10000000110010011000010000101100",
"00000000000000000100000000000000",
"10101110111001111110110000101110",
"01000100001001100111000011000000",
"00000000000000000001000000000000",
"00000000000000000000001000000000",
"00000000000000000000000100000000"]);

y:=CambridgeMatrix(1,F,32,[
"00100000000000000000000000000000",
"01100000000000000000000000000000",
"00001000000000000000000000000000",
"00000100000000000000000000000000",
"00000001000000000000000000000000",
"00000000010000000000000000000000",
"00000000001000000000000000000000",
"10101001000000000000000000000000",
"00000000000010000000000000000000",
"00000000000000100000000000000000",
"00000000000000001000000000000000",
"00000000000000000100000000000000",
"00000000000000000001000000000000",
"00000000000000000000100000000000",
"00000000000000000000001000000000",
"00000000000000000000000100000000",
"00000000000000000000000001000000",
"00000000000000000000000000010000",
"00000000000000000000000000001000",
"11010100111100100101110010010100",
"00011001000000110001011111000100",
"10010100011011100100011011100100",
"00010000000000000000000000000000",
"11110111000001101110100111101010",
"00100011111100101001010010111010",
"00110110110111101110100001010010",
"01011010000010000100001010111110",
"10010110001111000001100000011010",
"10101011010010000110110010010100",
"10111111010010111100101101011000",
"10110111100010111011110111010100",
"01110111111001111111011110110001"]);

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