/*
www-ATLAS of Group Representations.
L2(31) represented as 15 x 15 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,15,[
"010000000000000",
"100000000000000",
"000100000000000",
"001000000000000",
"000001000000000",
"000010000000000",
"000000001000000",
"000000000100000",
"000000100000000",
"000000010000000",
"000000000000010",
"011011110110110",
"100111011111010",
"000000000010000",
"101011110111111"]);

y:=CambridgeMatrix(1,F,15,[
"100000000000000",
"001000000000000",
"111000000000000",
"000010000000000",
"000000100000000",
"000000010000000",
"000100000000000",
"000000000010000",
"000000000001000",
"000000000000100",
"000001000000000",
"000000000000001",
"100000001101101",
"001111010101010",
"000000001000000"]);

G<x,y>:=MatrixGroup<15,F|x,y>;
print "Group G is L2(31) < GL(15,GF(2))";