/* www-ATLAS of Group Representations. J1 represented as 77 x 77 matrices over GF(5). */ F:=GF(5); x:=CambridgeMatrix(1,F,77,[ "01000000000000000000000000000000000000000000000000000000000000000000000000000", "10000000000000000000000000000000000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000000000000000000000000", "00100000000000000000000000000000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000000000000000000000000000000", "00000000100000000000000000000000000000000000000000000000000000000000000000000", "00000000010000000000000000000000000000000000000000000000000000000000000000000", "00000010000000000000000000000000000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000000000000000000000000000000", "00000000000010000000000000000000000000000000000000000000000000000000000000000", 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"23034030243304033421212342234230223430104130104034443110344401000000000043410", "43033010232433224131321310144401402430213421241430143140244121140410411440300", "00000000000000000000000000000000000000000000000000000000000010000000000000000", "22123313402204143341321042242144202011342130314011022310410333011040104010200", "00000000000000000000000000000000000000000000000000000000000000100000000000000", "21030213303121203441013003321330140023234410341100001324413120141111441324211"]); y:=CambridgeMatrix(1,F,77,[ "10000000000000000000000000000000000000000000000000000000000000000000000000000", "00100000000000000000000000000000000000000000000000000000000000000000000000000", "44400000000000000000000000000000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000000000000000000000000000000", "00000010000000000000000000000000000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000000000000000000000000000000", "00000000000100000000000000000000000000000000000000000000000000000000000000000", "10010000400000000000000000000000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000000000000000000000000000000", "10000010040000000000000000000000000000000000000000000000000000000000000000000", "00000000000000100000000000000000000000000000000000000000000000000000000000000", "00000000000000010000000000000000000000000000000000000000000000000000000000000", "00000000000000000100000000000000000000000000000000000000000000000000000000000", "00000000000000000001000000000000000000000000000000000000000000000000000000000", "00000000000000000000100000000000000000000000000000000000000000000000000000000", 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"00000000000000000000000000000000000000000000100000000000000000000000000000000", "00044202142134343344324043224043232043232303021302300041000030000040100000000", "11313022004304301341110000011033203143013234444304123310320343020021303020200", "00000000000000000000000000000000000000000000001000000000000000000000000000000", "10044121321301013011341323441322143322143302110403300100400030000100040000000", "00000000000000000000000000000000000000000000000010000000000000000000000000000", "10044434414433330333023220223223143223143413010403410000004040100000000400000", "00000000000000000000000000000000000000000000000000000000000000000000000000001", "13404444420144342122220333204234300312210023241001132240100132033010402034304", "13241002332104403110040040004004343202040001020230112121020040442140332013102", "40404434443033121123420224041301113441144331011241333440131320002020303340013", "00000000000000000000000000000000000000000000000000000000000100000000000000000"]); G:=MatrixGroup<77,F|x,y>; print "Group G is J1 < GL(77,GF(5))";