/* www-ATLAS of Group Representations. J1 represented as 77 x 77 matrices over GF(9). */ F:=GF(9); x:=CambridgeMatrix(1,F,77,[ "22031300000000000000000000000000000000000000000000000000000000000000000000000", "00000055000000000000000000000000000000000000000000000000000000000000000000000", "11130377480000000000000000000000000000000000000000000000000000000000000000000", "00000123640400000000000000000000000000000000000000000000000000000000000000000", "00000043706087000000000000000000000000000000000000000000000000000000000000000", "07015034281838000000000000000000000000000000000000000000000000000000000000000", "08005041533307044000000000000000000000000000000000000000000000000000000000000", "07007082766605088000000000000000000000000000000000000000000000000000000000000", "06008074804672233645000000000000000000000000000000000000000000000000000000000", "05000038326688233645000000000000000000000000000000000000000000000000000000000", "01000013141178640552621000000000000000000000000000000000000000000000000000000", 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"00001851134320884515750183386130833208430586888023874808720716571078558465172", "00004543857358868255050368372275854367282588171040712306305611600401510612467", "00002307164535542473006344526140160176353055707041057823384131438037104156433", "00001605485182636302718578886408283043086432583052247271680643184634350537347", "00007881108461148575041614560030080165277303621820371320777328442650374477458", "00006675133323566622020788648503452710464044871636218554313020178406336605126", "00001821845382225473733754454772848834057330617418110812270610072751877414336", "00000583872566464471544381183545367855332210342381061306602651246605677420753", "00008726457354535068853455176348462677833603040162657132444272560531072146314", "00001030774031037456411676506240542607037246513510248183662155805816505767585", "00002337718745372376548444151660475306154300785456651764866367232871865443553", "00004104771110580485334577807060553457280112754175603541312758157310834405558"]); G:=MatrixGroup<77,F|x,y>; print "Group G is J1 < GL(77,GF(9))";