/*
www-ATLAS of Group Representations.
S10(2) represented as 32 x 32 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,32,[
"10000000000000000000000000000000",
"00100000000000000000000000000000",
"01000000000000000000000000000000",
"00000100000000000000000000000000",
"00000001000000000000000000000000",
"00010000000000000000000000000000",
"00000000001000000000000000000000",
"00001000000000000000000000000000",
"00000000000001000000000000000000",
"00000000000000100000000000000000",
"00000010000000000000000000000000",
"00000000000100000000000000000000",
"00000000000000000010000000000000",
"00000000100000000000000000000000",
"00000000010000000000000000000000",
"00000000000000010000000000000000",
"00000000000100001000000000000000",
"00000000000000000000000010000000",
"00000000000010000000000000000000",
"00000000000000000001000000000000",
"10000000000100000000100000000000",
"00000000000000010000010000000000",
"00000000000000000000000000000100",
"00000000000000000000000000000001",
"00000000000000000100000000000000",
"00010010100000000000000001000010",
"00000000000000000001000000100000",
"00100000001100101010011001001011",
"01000110011011011000010101010100",
"00000000000000000000001000000000",
"00010110101001000000000000000010",
"00000000000000000000000100000000"]);

y:=CambridgeMatrix(1,F,32,[
"01000000000000000000000000000000",
"00010000000000000000000000000000",
"00001000000000000000000000000000",
"00000010000000000000000000000000",
"00000000100000000000000000000000",
"00000000010000000000000000000000",
"00000000000100000000000000000000",
"00000000000010000000000000000000",
"10000000000100000000000000000000",
"00000000000000010000000000000000",
"00000000000000001000000000000000",
"00000000000000000100000000000000",
"00000000000000000001000000000000",
"00000000000000000000100000000000",
"00000000000000000000010000000000",
"00000000000000000000001000000000",
"00000000000000000000000100000000",
"00000000000000000000000001000000",
"00000000000000000000000000100000",
"10011010010111000110101110000000",
"00000000000000000000000000010000",
"00000000000000000000000000001000",
"00000000000000000000000000000010",
"01010101101111101010000011000111",
"01010111001111101010001001001100",
"01111101110001111001100100000001",
"10001010011111100101000100101001",
"01001001101111101110000110000111",
"01110011110101100000001011000111",
"00110101011100111000010100011110",
"01011000001011111111110110100000",
"00110101001110111100010001010111"]);

G<x,y>:=MatrixGroup<32,F|x,y>;
print "Group G is S10(2) < GL(32,GF(2))";