Group GAP4(59,1)

Name: C59
Maximal quotient:GAP4(1,1)
Real polynomial:
x^59+x^58-580*x^57-447*x^56+152323*x^55+101381*x^54-24184286*x^53-15477550*x\
^52+2611525213*x^51+1735991219*x^50-204388705994*x^49-147256117306*x^48+1205\
5703602561*x^47+9576231577571*x^46-549912920597540*x^45-482797060049440*x^44\
+19742966183164546*x^43+19072654110540671*x^42-564706458967944658*x^41-59604\
5582231848149*x^40+12974109361591380663*x^39+14851449756019576985*x^38-24065\
2204009541811796*x^37-296766937544063839232*x^36+3612893402332435445423*x^35\
+4773873015120485391802*x^34-43910301454130188076050*x^33-619321593968838211\
59551*x^32+431166418004819853924971*x^31+647855429422637851120888*x^30-34055\
64017904173339241898*x^29-5452846106012086244791682*x^28+2148427662985271227\
5134423*x^27+36772205910339076823447434*x^26-107120720749385339921586412*x^2\
5-197401577098748662684774283*x^24+415705761197114932092716409*x^23+83591750\
5464381103443717056*x^22-1227016667582157405866192963*x^21-27582092352377152\
98641892224*x^20+2653043019282053911058033634*x^19+6976799032641349635018625\
905*x^18-3907473957472448738685999501*x^17-13238167460718515387050960542*x^1\
6+3192350495702259834957774861*x^15+18300817113127493151049991721*x^14+21454\
7251967763700643629281*x^13-17708507030946266035113506166*x^12-3767185125817\
625868039763317*x^11+11330817682443737176083732714*x^10+42597426505603622791\
82288535*x^9-4401395533869630388529667255*x^8-2295553703154373289920577697*x\
^7+896120750987384318654487210*x^6+628701524647293044676537081*x^5-639940339\
94351152521795444*x^4-79699396345963056525044349*x^3-31506261997072375998053\
19*x^2+3338579458297977209127360*x+295692939959664912319539
Common denominator of the automorphisms:
7037733632099787531619870365807428747126884748677187410861216329063805131530\
1631589417468249561669637072204603321586818364928485089966610734520056678408\
2321995294192725727368850551207732472468397021544504811302208407975087261465\
1739341494131414645153863171104105570639398503175699653010512657985656782176\
1316919176352537106542069918924599877686800977425817523600688561089813453070\
4516889072728910836972693663019099104975486157208250175768383449742757636847\
6084771191291

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.