/*
www-ATLAS of Group Representations.
E6(2) represented as 78 x 78 matrices over GF(2).
*/

F:=GF(2);

x:=CambridgeMatrix(1,F,78,[
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y:=CambridgeMatrix(1,F,78,[
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"111100100110000011100011001000011010110001001110010011100100001000100000111110",
"011001001001110111001011101000010000001100011100111000110011100111100111010010"]);

G<x,y>:=MatrixGroup<78,F|x,y>;
print "Group G is E6(2) < GL(78,GF(2))";