/*
www-ATLAS of Group Representations.
L6(2):2 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",
"000000000000000000000000100000",
"000000000010000000000000000000",
"000000000000000000000000000100",
"000000000001000000000000000000",
"000000000000000000000000000001",
"000100101010001011100100111010",
"000000000000010000000000000000",
"111010100110001001010111101011",
"110111111111111011101001111001",
"000000000000000100000000000000",
"110110111010111010100100010011",
"111000010000100100011100010100",
"000000000000000001000000000000",
"001010000001000000110000000011",
"000000000000000000010000000000"]);

y:=CambridgeMatrix(1,F,30,[
"001000000000000000000000000000",
"000100000000000000000000000000",
"000001000000000000000000000000",
"000000010000000000000000000000",
"000000001000000000000000000000",
"000000000010000000000000000000",
"000000000001000000000000000000",
"000000000000010000000000000000",
"001111001000000000000000000000",
"000000000000000100000000000000",
"000000000000000001000000000000",
"000000000000000000010000000000",
"000000000000000000001000000000",
"000000000000000000000010000000",
"000000000000000000000001000000",
"000000000000000000000000010000",
"000000000000000000000000001000",
"000000000000000000000000000010",
"110101000000010000101100110010",
"000111000101011011101001111011",
"010001101001010101101100101011",
"011010001011001010011101110000",
"001011110000111101111111001101",
"101010110001010001101101110010",
"001011001111000000011100010111",
"010001000101000010011100000101",
"011111001001111001010011011000",
"101010101000011111010101111110",
"111111101010111100111101001101",
"000100100100100010010100010110"]);

G<x,y>:=MatrixGroup<30,F|x,y>;
print "Group G is L6(2):2 < GL(30,GF(2))";