/*
www-ATLAS of Group Representations.
3.S7 represented as 30 x 30 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,30,[
"010000000000000000000000000000",
"100000000000000000000000000000",
"000010000000000000000000000000",
"000000100000000000000000000000",
"001000000000000000000000000000",
"000000000100000000000000000000",
"000100000000000000000000000000",
"000000000000100000000000000000",
"000000000000001000000000000000",
"000001000000000000000000000000",
"000000000000000010000000000000",
"000000000000000000100000000000",
"000000010000000000000000000000",
"000000000000000000000100000000",
"000000001000000000000000000000",
"000000000000000000000001000000",
"000000000010000000000000000000",
"000000000000000000000000001000",
"000000000001000000000000000000",
"110100100010010010010100000000",
"000000000000000000000000000100",
"000000000000010000000000000000",
"111111101110001010001010000100",
"000000000000000100000000000000",
"101000110111111000101110100000",
"000000000000000000000000000001",
"000000000000000001000000000000",
"000000000000000000001000000000",
"010000111011101101110101011011",
"000000000000000000000000010000"]);

y:=CambridgeMatrix(1,F,30,[
"001000000000000000000000000000",
"000100000000000000000000000000",
"000001000000000000000000000000",
"000000010000000000000000000000",
"000000001000000000000000000000",
"000000000010000000000000000000",
"000000000001000000000000000000",
"000000000000010000000000000000",
"010011001000000000000000000000",
"000000000000000100000000000000",
"000000000000000001000000000000",
"000000000000000000010000000000",
"000000000000000000001000000000",
"011100000000010001000000000000",
"000000000000000000000010000000",
"000000000000000000000000100000",
"000000000000000000000000010000",
"101001000010000001000000000000",
"011101100111110010011010000000",
"110110000000011001111011110000",
"010100000001110110100110001100",
"001100001101001010110011110100",
"110011111110011010100110011000",
"010110111010110010010101100100",
"000000000000000000000000000010",
"101100011000110111010010110110",
"101110000000011000000111110000",
"010101111011101101101010000001",
"001100010001011100111011001011",
"110101010010011101110100110010"]);

G<x,y>:=MatrixGroup<30,F|x,y>;
print "Group G is 3.S7 < GL(30,GF(2))";