/*
www-ATLAS of Group Representations.
3.S7 represented as 42 x 42 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,42,[
"010000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000",
"000001000000000000000000000000000000000000",
"001000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000",
"000000001000000000000000000000000000000000",
"000000000010000000000000000000000000000000",
"000000100000000000000000000000000000000000",
"000000000000010000000000000000000000000000",
"000000010000000000000000000000000000000000",
"000000000000000010000000000000000000000000",
"000000000000000000100000000000000000000000",
"000000000100000000000000000000000000000000",
"000000000000000000000100000000000000000000",
"001212616010505600500500000000000000000000",
"000000000001000000000000000000000000000000",
"000222500020502501500100000000000000000000",
"000000000000100000000000000000000000000000",
"000000000000000000000000001000000000000000",
"001100000000000000000060000000000000000000",
"000000000000001000000000000000000000000000",
"000011000000000000006000000000000000000000",
"000000000000000000000000000001000000000000",
"006000000000000000000010010000000000000000",
"000006000000000000001000100000000000000000",
"000000000000000000010000000000000000000000",
"000222500020503502500100000000100000000000",
"000201600010605600600500000000010000000000",
"000000000000000000000001000000000000000000",
"000555200050205205200500000100000000000000",
"001110600010600600600000000010000000000000",
"001211600010605600601560100000006060000000",
"000000000000000000000000000000000001000000",
"006555200050202200200210610000000010000000",
"000000000000000000000000000000000100000000",
"000000000606060000000006006006000000001000",
"000000000000000000000000000000000000060600",
"000000000100010010010001000001000000100000",
"000000000000000000000000000000000000000100",
"000506100060102100100200000000000000000066",
"001311500020505500500500000000000000000001"]);

y:=CambridgeMatrix(1,F,42,[
"001000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000",
"601000000000000000000000000000000000000000",
"066600000000000000000000000000000000000000",
"000000100000000000000000000000000000000000",
"000000010000000000000000000000000000000000",
"000000000100000000000000000000000000000000",
"000000000001000000000000000000000000000000",
"000000000000100000000000000000000000000000",
"000000000000001000000000000000000000000000",
"000000000000000100000000000000000000000000",
"000000000000000001000000000000000000000000",
"000000000000000000010000000000000000000000",
"000000000000000000001000000000000000000000",
"000000000000000000000010000000000000000000",
"000000000000000000000001000000000000000000",
"000000000000000000000000100000000000000000",
"000000000000000000000000010000000000000000",
"061222610620505600560506000000000000000000",
"000000000000000000000000000100000000000000",
"000000000000000000000000000010000000000000",
"002422500020502500500260000000000000000000",
"550000000000001010000100006000000000000000",
"000000000000000000000000000000100000000000",
"000000000000000000000000000000010000000000",
"020555200050265260200500000006000000000000",
"000212500020502500500200100000000000000000",
"000000000000000000000000000000001000000000",
"000000000000000000000000000000000100000000",
"000006000000006000006600600000000000000000",
"000000000000000000000000000000000010000000",
"000000000000000000000000000000000001000000",
"000000000000000000000000000000000000100000",
"000000000000000000000000000000000000010000",
"000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000100",
"000000001000000000000000000000000000000000",
"000000000000000000000000000000000000000010",
"000000000010000000000000000000000000000000",
"000000000000000000000000000000000000000001",
"000000000000010000000000000000000000000000",
"000000000000000010000000000000000000000000"]);

G<x,y>:=MatrixGroup<42,F|x,y>;
print "Group G is 3.S7 < GL(42,GF(7))";