/*
www-ATLAS of Group Representations.
L6(2) represented as 61 x 61 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,61,[
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"1000000000000000000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000000000000000000",
"0010000000000000000000000000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000000000",
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"0000000000000010000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000000000",
"0000000000000000100000000000000000000000000000000000000000000",
"0000000000000000001000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000000000",
"0000000000000000000001000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000000000",
"0000000000000000000000001000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000000000",
"0000000000000000000000000001000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000000000000",
"0000000000000000000000000000010000000000000000000000000000000",
"0000000000000000000000000000000100000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000100000000000000000000000000",
"2100000220021010021120110001020100200000000000000000000000000",
"0000000000000001000000000000000000000000000000000000000000000",
"2100000220011010002200100100010000200000000000000000000000000",
"0000000000000000000000000000000000000010000000000000000000000",
"0000000000000000010000000000000000000000000000000000000000000",
"0010200000210001102020102020100100200010000000000000000000000",
"0000000000000000000100000000000000000000000000000000000000000",
"0001012222221211101101002020021000000010000000000000000000000",
"0000000000000000000010000000000000000000000000000000000000000",
"0000010202001100000202200000010010100000000000000000000000000",
"0000000000000000000000000000000000000000000001000000000000000",
"0000000000000000000000100000000000000000000000000000000000000",
"0021102200021200021201200001010000110000000000000000000000000",
"2100010012000220020211100011010200201020000000000000000000000",
"0022101220021010021110000021020200000110000000000000000000000",
"0000000000000000000000000010000000000000000000000000000000000",
"0012201100122000221200100001010000200001000000000000000000000",
"1220100010000122010002001022000002000010100001000000000000000",
"0000000000200101100022002000000102000000010001000000000000000",
"0012211112222120101002100020000001200010001002000000000000000",
"0000020021020010021210200011010200100020000100000000000000000",
"0021102020120010221110000021020200000010000010000000000000000",
"0000000000000000000000000000000001000000000000000000000000000",
"0012221011220020101100100000020000200000000000100000000000000",
"2101012222001112020112001011020200000020000000010000000000000",
"2102021021210210112011200022000200100010000000001000000000000",
"0000010112012120022002200021000001100010000002000100000000000",
"0010220011110120212012000002000202000000000001000010000000000",
"2100000000100200200001000000000000000000000000000001000000000",
"2112211002200200110101200022020001100010000002000000100000000",
"0000020201011100022012000021000201000010000002000000010000000",
"0001022201001000000010100020000200200010000000000000001000000",
"0011222211221020111010000002000200000000000000000000000100000",
"0000010112012121022022202021000101100010000002000000000010000",
"1202011202211001112120102002020100200000000000000000000001000",
"0010210122002210000001000000000000000000000000000000000000100",
"2102021111212121112122202012020102100020000001000000000000010",
"1202021011000022020020001021000100000010000000000000000000001"]);

y:=CambridgeMatrix(1,F,61,[
"0010000000000000000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000000000",
"0200220020000000000000000000000000000000000000000000000000000",
"0000000000000001000000000000000000000000000000000000000000000",
"0000000000000000010000000000000000000000000000000000000000000",
"0000000000000000000100000000000000000000000000000000000000000",
"0000000000000000000010000000000000000000000000000000000000000",
"0000000000000000000000100000000000000000000000000000000000000",
"0000000000000000000000010000000000000000000000000000000000000",
"0000000000000000000000000100000000000000000000000000000000000",
"0000000000000000000000000010000000000000000000000000000000000",
"1201020000100200000000100000000000000000000000000000000000000",
"0000000000000000000000000000100000000000000000000000000000000",
"0000000000000000000000000000001000000000000000000000000000000",
"0000000000000000000000000000000010000000000000000000000000000",
"0000000000000000000000000000000001000000000000000000000000000",
"1021000200100000020000100000000000000000000000000000000000000",
"0000000000000000000000000000000000010000000000000000000000000",
"0000000000000000000000000000000000001000000000000000000000000",
"0000000000000000000000000000000000000100000000000000000000000",
"0000000000000000000000000000000000000001000000000000000000000",
"0000000000000000000000000000000000000000100000000000000000000",
"0010210012210220112001000002001010200000000000000000000000000",
"0000000000000000000000000000000000000000010000000000000000000",
"0000000000000000000000000000000000000000001000000000000000000",
"0000000000000000000000000000000000000000000100000000000000000",
"0000000000000000000000000000000000000000000010000000000000000",
"0000000000000000000000000000000000000000000000100000000000000",
"0000000000000000000000000000000000000000000000010000000000000",
"1102221102100202010211102011102100000100120010010000000000000",
"0000000000000000000000000000000000000000000000001000000000000",
"0000000000000000000000000000000000000000000000000100000000000",
"0000000000000000000000000000000000000000000000000010000000000",
"0000000000000000000000000000000000000000000000000001000000000",
"1200010201222000121100200201020010120000000000200000000000000",
"0000000000000000000000000000000000000000000000000000100000000",
"0000000000000000000000000000000000000000000000000000010000000",
"0000000000000000000000000000000000000000000000000000001000000",
"0000010112012120022002200021000001100010000002000100000000000",
"0000000000000000000000000000000000000000000000000000000100000",
"2100000000100200200001000000000000000000000000000001000000000",
"0000000002221200121201200201010010120000000000200000000000000",
"0000000000000000000000000000000000000000000000000000000010000",
"0000000000000000000000000000000000000000000000000000000001000",
"0000000000000000000000000000000000000000000000000000000000100",
"0202000001100011002001000012000021221022201201200000100000000",
"2022022120011011212112021011112110120022121202000222102202100",
"0000001000000000000000000000000000000000000000000000000000000",
"0000010112012121022022202021000101100010000002000000000010000",
"0010210122002210000001000000000000000000000000000000000000100",
"0000000000000000000000000000000000000000000000000000000000010",
"0000000001000000000000000000000000000000000000000000000000000",
"2110100011202201202211100022101101211121022100200122222212100",
"0000000000000000000000000000000000000000000000000000000000001",
"0000000000000000000000001000000000000000000000000000000000000"]);

G<x,y>:=MatrixGroup<61,F|x,y>;
print "Group G is L6(2) < GL(61,GF(3))";