/*
www-ATLAS of Group Representations.
L6(2):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",
"0000000000001000000000000000000000000000000000000000000000000",
"0000000000000010000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000000000",
"0000000000000000100000000000000000000000000000000000000000000",
"0000000000000000001000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000000000",
"0000000000000000000001000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000000000",
"0000000000000000000000001000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000000000",
"0000000000000000000000000001000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000000000000",
"0000000000000000000000000000001000000000000000000000000000000",
"0000000000000000000000000000000010000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000010000000000000000000000000",
"0000000000000000000000000000000000000100000000000000000000000",
"0000000000000001000000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000100000000000000000000",
"0000000000000000000000000000000000000000001000000000000000000",
"0000000000000000010000000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000001000000000000000",
"0000000000000000000000000000000000000000000000100000000000000",
"0000000000000000000100000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000100000000000",
"0000000000000000000010000000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000100000000",
"0000000000000000000000000000000000000000000000000000001000000",
"0000000000000000000000100000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000001000",
"0000000000000000000000010000000000000000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000010",
"2122110202211001012001111100211111021022222111212201000122212",
"0000000000000000000000000100000000000000000000000000000000000",
"0020222212221220211200011001011110221202102101022022211000221",
"0000000000000000000000000010000000000000000000000000000000000",
"1010000020101100220000002102000121010222112122101200200022110",
"1102011200000210210121010212201020010222020010012121110222202",
"0000000000000000000000000000100000000000000000000000000000000",
"0000000000000000000000000000010000000000000000000000000000000",
"1220201121212112122102101021010222010100112211011220110121120",
"1211111221001110010012200112022000020220121122000210020212220",
"0000000000000000000000000000000100000000000000000000000000000",
"2011111022112222122201221011022021202002112121011011001102102",
"1222112112002222100110012002111011000122011222221000100210111",
"0000000000000000000000000000000001000000000000000000000000000",
"1001010001001222220110222200002202002020220221012011200022222",
"0000000000000000000000000000000000100000000000000000000000000",
"2102021101002101000112112100112022220210200002200000101100020",
"1021212202222220121202002112101021012212111021101000200000120",
"0000000000000000000000000000000000001000000000000000000000000",
"2201200111210012112121120120000022120102221200202120112110020",
"0000000000000000000000000000000000000010000000000000000000000",
"1021012010101010120022021210212002201200111011111121211202120"]);

y:=CambridgeMatrix(1,F,61,[
"0010000000000000000000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000000000000000000",
"0000000000000100000000000000000000000000000000000000000000000",
"0122220020000000000000000000000000000000000000000000000000000",
"0000000000000001000000000000000000000000000000000000000000000",
"0000000000000000010000000000000000000000000000000000000000000",
"0000000000000000000100000000000000000000000000000000000000000",
"0000000000000000000010000000000000000000000000000000000000000",
"0000000000000000000000100000000000000000000000000000000000000",
"0000000000000000000000010000000000000000000000000000000000000",
"0000000000000000000000000100000000000000000000000000000000000",
"0000000000000000000000000010000000000000000000000000000000000",
"0000000000000000000000000000100000000000000000000000000000000",
"0000000000000000000000000000010000000000000000000000000000000",
"0000000000000000000000000000000100000000000000000000000000000",
"0000000000000000000000000000000001000000000000000000000000000",
"0000000000000000000000000000000000100000000000000000000000000",
"0000000000000000000000000000000000001000000000000000000000000",
"0000000000000000000000000000000000000010000000000000000000000",
"0000000000000000000000000000000000000001000000000000000000000",
"0000000000000000000000000000000000000000010000000000000000000",
"0000000000000000000000000000000000000000000100000000000000000",
"0000000000000000000000000000000000000000000010000000000000000",
"2020020000200000020000000000200000000000000000000000000000000",
"0000000000000000000000000000000000000000000000010000000000000",
"0000000000000000000000000000000000000000000000001000000000000",
"0000000000000000000000000000000000000000000000000010000000000",
"0000000000000000000000000000000000000000000000000001000000000",
"0000000000000000000000000000000000000000000000000000010000000",
"0000000000000000000000000000000000000000000000000000000100000",
"0000000000000000000000000000000000000000000000000000000010000",
"2002210210000200020000200000100000002000000000000000000000000",
"0000000000000000000000000000000000000000000000000000000000100",
"0000000000000000000000000000000000000000000000000000000000001",
"2201211001000201001102001021022000021220100001121022102122002",
"1021112121011202201200022102111010211101100122121111022200102",
"0110010101112220202121211102221212220010012100010222220022222",
"0121011221120122122111001202121022220112021202020000020102221",
"0210010121222211001212021120212000020021202100010200010001011",
"1001020020221001022022000011202021100001220020121112100221111",
"0000202202110210211011220122121011221200002221210022210202121",
"2212010112010102202111120212001120101011111220200222022201120",
"0120102020102110011102212221020112022101021120220202222220221",
"0200220202221110010012210010020212120120221020022112212220211",
"1001112022112000222202010022120020002201120100012120012000212",
"1110021221112100122201110200001221211211122112211201020222122",
"2101201201120002222211122022211001221012222201100121122200121",
"2000000012202021000220211122101121011010111020012010020021012",
"0221002200110220020000222220002111121102012220201212000202120",
"0121102222202201011020120100011122010220001112102100000020001",
"0122201001120122201002102121012110221122222122100012110201221",
"2212211022011220110111211210002221002211222011010210120122000",
"1001122212011220201220211221002101020201022010221121212111222",
"2220121101112011112020220102212202220022100220121020121112212",
"2100212221200202101102200221001210101100022200110002111212121",
"1001022121102022222100121102010220112110200020111000111012002"]);

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