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

F:=GF(3);

x:=CambridgeMatrix(1,F,42,[
"010000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000",
"001000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000",
"000000001000000000000000000000000000000000",
"000010000000000000000000000000000000000000",
"000000000001000000000000000000000000000000",
"000001000000000000000000000000000000000000",
"000000000000010000000000000000000000000000",
"000000000000000100000000000000000000000000",
"000000010000000000000000000000000000000000",
"002110210202110000000000000000000000000000",
"000000000100000000000000000000000000000000",
"121200020101021000000000000000000000000000",
"000000000010000000000000000000000000000000",
"001201012212010210000000000000000000000000",
"011120200222002120220000000000000000000000",
"002110220011000200100000000000000000000000",
"010212001022022122200000000000000000000000",
"021022011120001111111000000000000000000000",
"000000000000000000000010000000000000000000",
"000000000000000000000100000000000000000000",
"000000000000000000000000100000000000000000",
"000000000000000000000001000000000000000000",
"000000000000000000000000000100000000000000",
"000000000000000000000000000001000000000000",
"000000000000000000000000010000000000000000",
"000000000000000000000000000000001000000000",
"000000000000000000000000001000000000000000",
"000000000000000000000000000000000010000000",
"000000000000000000000000000000000000100000",
"000000000000000000000000000010000000000000",
"000000000000000000000002110210202110000000",
"000000000000000000000000000000100000000000",
"000000000000000000000121200020101021000000",
"000000000000000000000000000000010000000000",
"000000000000000000000001201012212010210000",
"000000000000000000000011120200222002120220",
"000000000000000000000002110220011000200100",
"000000000000000000000010212001022022122200",
"000000000000000000000021022011120001111111"]);

y:=CambridgeMatrix(1,F,42,[
"001000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000",
"000001000000000000000000000000000000000000",
"000000010000000000000000000000000000000000",
"000000000100000000000000000000000000000000",
"000000000010000000000000000000000000000000",
"010000000000000000000000000000000000000000",
"000000000000100000000000000000000000000000",
"000000000000001000000000000000000000000000",
"000000000000000010000000000000000000000000",
"000000000000000001000000000000000000000000",
"000000000000000000100000000000000000000000",
"000000000000000000010000000000000000000000",
"000202000200002000000000000000000000000000",
"000000000000000000001000000000000000000000",
"211011011221220010021000000000000000000000",
"001020101012201100101000000000000000000000",
"121021001022202220122000000000000000000000",
"200222222121012220212000000000000000000000",
"221210110202100202010000000000000000000000",
"000000000000021210112001000000000000000000",
"100000000000021010200100000000000000000000",
"000000000002222021012000010000000000000000",
"000000000002022102210000001000000000000000",
"000000000002202001102000000010000000000000",
"000000000002102101002000000000100000000000",
"000000000000001011020000000000010000000000",
"000000000001200122200010000000000000000000",
"000000000001000102222000000000000100000000",
"000000000001002010100000000000000001000000",
"000000000001002001010000000000000000010000",
"000000000002001221110000000000000000001000",
"000000000001100111121000000000000000000100",
"000000000000200122202000000000000000000010",
"000000000001201200011000202000200002000000",
"000000000002202021011000000000000000000001",
"200000000000110211100211011011221220010021",
"000000000001122001120001020101012201100101",
"100000000002120112122121021001022202220122",
"200000000001221201100200222222121012220212",
"200000000002010100102221210110202100202010"]);

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