/*
www-ATLAS of Group Representations.
2^5.L5(2) represented as 69 x 69 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,69,[
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"010100001001100100110000010000010100010001100001001010010000000000010",
"010001101110011010010100000100010000001001010110000010010100110001001"]);

y:=CambridgeMatrix(1,F,69,[
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"000010000000000000000000000000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000000000000000000000000000",
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"000000010000000000000000000000000000000000000000000000000000000000000",
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"000100100111100101000010000000100000000000000100010100000000000000000",
"000000000000000000000000000000000000000000000000000000000100000000000",
"000000000000000000000000000000000000000000000000000000000010000000000",
"001110110101000111100101101111001000101001010100000000101000000000000",
"000000000000000000000000000000000000000000000000000000000001000000000",
"000000111110010010001001011100000100010001100000101000010000000000000",
"000000000000000000000000000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000000000000000000000000000000010",
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"111110000011111000000000010011001101111100000000000000000000000001111"]);

G<x,y>:=MatrixGroup<69,F|x,y>;
print "Group G is 2^5.L5(2) < GL(69,GF(2))";