/*
www-ATLAS of Group Representations.
S10(2) represented as 44 x 44 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,44,[
"10000000000000000000000000000000000000000000",
"01000000000000000000000000000000000000000000",
"00100000000000000000000000000000000000000000",
"00010000000000000000000000000000000000000000",
"00001000000000000000000000000000000000000000",
"00000100000000000000000000000000000000000000",
"00000010000000000000000000000000000000000000",
"00000001000000000000000000000000000000000000",
"00000000010000000000000000000000000000000000",
"00000000100000000000000000000000000000000000",
"00000000000010000000000000000000000000000000",
"00000000000000100000000000000000000000000000",
"00000000001000000000000000000000000000000000",
"00000000000000000100000000000000000000000000",
"00000000000100000000000000000000000000000000",
"00000000000000000001000000000000000000000000",
"00000000000100101000000000000000000000000000",
"00000000000001000000000000000000000000000000",
"00000000000000000010000000000000000000000000",
"00000000000000010000000000000000000000000000",
"00000000000000000000100000000000000000000000",
"00000000000000000000010000000000000000000000",
"00000000000000000000000000010000000000000000",
"00000000000000000000000100000000000000000000",
"00000000000000000000000000000010000000000000",
"00000000000000000000000001000000000000000000",
"00000000000000000000000000100000000000000000",
"00000000000000000000001000000000000000000000",
"00000000000000000000000000001000000000000000",
"00000000000000000000000000000100000000000000",
"00000000000000000000000010000000000000000000",
"00000000000000000000000000000001000000000000",
"00000000000000000000000000000000000000100000",
"00000000000000000000000000000000010000000000",
"00000000000000000000000000000000101000100000",
"00000000000000000000000000000000000100000000",
"00000000000100110001000010000010000010000000",
"00000000000000000000001010010010100001100000",
"00000000000000000000000000000000100000000000",
"00000000110100110001000010000010000000010000",
"00000000111110110001000010000010000000001000",
"00000000000000000000000000000000000000000100",
"00000000000000000000000000000000000000000010",
"00000000000000000000000000000000000000000001"]);

y:=CambridgeMatrix(1,F,44,[
"01000000000000000000000000000000000000000000",
"00100000000000000000000000000000000000000000",
"00010000000000000000000000000000000000000000",
"00001000000000000000000000000000000000000000",
"00000100000000000000000000000000000000000000",
"00000010000000000000000000000000000000000000",
"00000001000000000000000000000000000000000000",
"00000000100000000000000000000000000000000000",
"00000000001000000000000000000000000000000000",
"00000000000100000000000000000000000000000000",
"00000000000001000000000000000000000000000000",
"00000000000000010000000000000000000000000000",
"00000000000000001000000000000000000000000000",
"10000000000000000000000000000000000000000000",
"00000000000000000010000000000000000000000000",
"00000000000000000000100000000000000000000000",
"00000000000000000000010000000000000000000000",
"00000000000000000000001000000000000000000000",
"00000000000000000000000100000000000000000000",
"00000000000000000000000010000000000000000000",
"00000000000000000000000001000000000000000000",
"00000000000000000000000000100000000000000000",
"00000000000000000000000000001000000000000000",
"00000000000000000000000000000100000000000000",
"00000000000000000000000000000001000000000000",
"00000000000000000000000000000000100000000000",
"00000000000000000000000000000000010000000000",
"00000000000000000000000000000000001000000000",
"00000000000000000000000000000000000100000000",
"00000000000000000000000000000000000010000000",
"00000000000000010011000100000101000010000000",
"00000000000000000000000000000000000001000000",
"00000000000000000000000000000000000000010000",
"00000000000000000000000000000000000000001000",
"00100101000111111100100101010101110111011000",
"00000000000000000000000000000000000000000100",
"00000000000000000101100110000100000010000000",
"10000110000000000010011100010101001010010000",
"00000000000000000000000000000000000000000010",
"00000000000000000000000000000000000000000001",
"00001000001101100001100110000100000010000000",
"00001000110110110100100100000110000010011000",
"00111101011001111111100111000011011110101110",
"10000110000000000010011101000010101001100000"]);

G<x,y>:=MatrixGroup<44,F|x,y>;
print "Group G is S10(2) < GL(44,GF(2))";