Group GAP4(119,1)

Name: C119
Maximal quotients:GAP4(7,1) GAP4(17,1)
Real polynomial:
x^119+x^118-118*x^117-117*x^116+6786*x^115+6670*x^114-253460*x^113-246905*x^\
112+6913340*x^111+6672876*x^110-146803272*x^109-140364532*x^108+2526561576*x\
^107+2392407864*x^106-36227890512*x^105-33963647355*x^104+441527415615*x^103\
+409705619895*x^102-4643330358810*x^101-4263421511271*x^100+42634215112710*x\
^99+38722819230810*x^98-344985116783580*x^97-309847743777845*x^96+2478781950\
222760*x^95+2200787712814600*x^94-15913388077274800*x^93-13961746143269400*x\
^92+91748617512913200*x^91+79515468511191440*x^90-477092811067148640*x^89-40\
8281347932463740*x^88+2245547413628550570*x^87+1896724514424115530*x^86-9595\
194602380819740*x^85-7995995501984016450*x^84+37314645675925410100*x^83+3066\
4510802988208300*x^82-132341572939212267400*x^81-107196674080761936594*x^80+\
428786696323047746376*x^79+342163121308290625896*x^78-1270891593430793753328\
*x^77-998557680552766520472*x^76+3449562896455011616176*x^75+266718780653738\
0115600*x^74-8581386855815918632800*x^73-6525429588276688127025*x^72+1957628\
8764830064381075*x^71+14630700024241416537435*x^70-40965960067875966304818*x\
^69-30070757922164273138643*x^68+78646597642583483593374*x^67+56659376796269\
821513506*x^66-138500698835326230366348*x^65-97853754611915271454485*x^64+22\
3665724827234906181680*x^63+154845501803470319664240*x^62-331049003855695166\
178720*x^61-224377658168860057076688*x^60+448755316337720114153376*x^59+2974\
89479369949289157856*x^58-556593219466356734553408*x^57-36052060806343561215\
3912*x^56+630911064111012321269346*x^55+398851822139145720342690*x^54-652666\
618045874815106220*x^53-402224776237574013960810*x^52+6151673048339367272341\
80*x^51+369100382900362036340508*x^50-527286261286231480486440*x^49-30758365\
2416968363617090*x^48+410111536555957818156120*x^47+232231833953373704257080\
*x^46-288720658428518659346640*x^45-158444263771748044763400*x^44+1834617791\
04129314989200*x^43+97393290141698278327600*x^42-104885081691059684352800*x^\
41-53753604366668088230810*x^40+53753604366668088230810*x^39+265365894974690\
56215210*x^38-24594887826922539906780*x^37-11666805764052999699370*x^36+1000\
0119226331142599460*x^35+4545508739241428454300*x^34-3594123189167641103400*\
x^33-1560606121612265215950*x^32+1134986270263465611600*x^31+469127658375565\
786128*x^30-312751772250377190752*x^29-122564883719742412592*x^28+7460471182\
9408425056*x^27+27593523553342842144*x^26-15264502391210933952*x^25-53001744\
41392685400*x^24+2650087220696342700*x^23+858478958817125100*x^22-3854395325\
30137800*x^21-115631859759041340*x^20+46252743903616536*x^19+127362628140393\
36*x^18-4495151581425648*x^17-1123787895356412*x^16+345780890878896*x^15+774\
13632286320*x^14-20448884000160*x^13-4027810484880*x^12+895068996640*x^11+15\
1473214816*x^10-27540584512*x^9-3872894697*x^8+553270671*x^7+61474519*x^6-64\
71002*x^5-521855*x^4+35990*x^3+1770*x^2-60*x-1
Common denominator of the automorphisms:
1

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.