/*
www-ATLAS of Group Representations.
3.A7 represented as 30 x 30 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,30,[
"010000000000000000000000000000",
"000100000000000000000000000000",
"100110000000000000000000000000",
"100000000000000000000000000000",
"000000010000000000000000000000",
"000000000100000000000000000000",
"001000110000000000000000000000",
"011100000000000000000000000000",
"000000000000010000000000000000",
"000000000000000100000000000000",
"000000000000000001000000000000",
"000000000000000000010000000000",
"000000000000000000000100000000",
"101011011100010100000000000000",
"000000000000000000000000100000",
"000001000000000000000000000000",
"000000000000000000000000001000",
"101010010010011100000000100000",
"000000000000000000000000000001",
"001110100001000000010000000000",
"110001110111001111110111111001",
"101010010000100000000100000000",
"001001101011010100100110100100",
"110011011000101010000001101000",
"000000001110010101000000100000",
"011100111001011000111001110101",
"101101110010100011110110010101",
"100010110011010101011100000100",
"010111001000110100100001000111",
"111011110110100110010011111100"]);

y:=CambridgeMatrix(1,F,30,[
"001000000000000000000000000000",
"000010000000000000000000000000",
"000001000000000000000000000000",
"000000100000000000000000000000",
"000000001000000000000000000000",
"000000000010000000000000000000",
"000000000001000000000000000000",
"000000000000100000000000000000",
"000000000000001000000000000000",
"000000000000000010000000000000",
"000000000000000000100000000000",
"000000000000000000001000000000",
"000000000000000000000010000000",
"000000000000000000000001000000",
"001111101100011100101010100000",
"000000000000000000000000010000",
"000000000000000000000000000100",
"000000000000000000000000000010",
"100000000000000000000000000000",
"110110001011010010010011010111",
"110010000100101001000011010101",
"101110110000100110101000100010",
"101010011111001001000000000101",
"110001110111001110110111111101",
"100110011100110110101000100000",
"110000110100000111111101011000",
"100011111001011111000000000011",
"001101000000000100110111010011",
"000010101011100100100110111001",
"100111111000011010010101010001"]);

G<x,y>:=MatrixGroup<30,F|x,y>;
print "Group G is 3.A7 < GL(30,GF(2))";