Group GAP4(108,40)

Name: (C3 x ((C3 x C3) : C2)) : C2
Maximal quotient:GAP4(36,10)
Real polynomial:
x^108-828*x^106+326574*x^104-81775044*x^102+14618951469*x^100-1989301090104*\
x^98+214533135168120*x^96-18850022940948624*x^94+1376811582935003154*x^92-84\
873948939424839528*x^90+4468320116837781130260*x^88-202801066157344815316728\
*x^86+7995762501659533059850386*x^84-275564822088130754848919136*x^82+834453\
8501113585099740124296*x^80-222975481448791087718305597776*x^78+527640377246\
8056785072027632365*x^76-110900508209700556874003957523708*x^74+207543420052\
8743400904074780593262*x^72-34652605368295423317425212602036324*x^70+5170290\
47929114856526275773597756737*x^68-6902295797335082236372215599979825864*x^6\
6+82523909944514443961442364468216981200*x^64-884204735606918883034660198339\
524728064*x^62+8493193113966739182767017673829849325056*x^60-731437734022440\
37095213581209454092419072*x^58+564681278736528642525393727174573903282176*x\
^56-3906345514284491449766673766432316638298112*x^54+24198624258989263711600\
708482000082217533440*x^52-134110524304474211125386582267924166092521472*x^5\
0+664156412844679457292294906485104845649870848*x^48-29347677151704997114915\
44731418303119738535936*x^46+11550527972570289737682784246905580444817817600\
*x^44-40405443126313793064814104107070332063314870272*x^42+12531804833398894\
2898487648610402556847207743488*x^40-343612723219565528477590319646439846504\
933883904*x^38+830132585946892070636930183758861632598349709312*x^36-1760154\
483275623200690990620398470094807722098688*x^34+3260629719308154748622352442\
088780309228930727936*x^32-5249134963426225531173638531767473087022425440256\
*x^30+7297832893962175521037124775980966062958680473600*x^28-869779786998093\
8145283700082176081931142554451968*x^26+880861035812468680213207072436116036\
2968582455296*x^24-7500389195778132913161397508687923445409993719808*x^22+53\
00732371720560012732931779845608197267036045312*x^20-30602637332617227098798\
81429702951944067689218048*x^18+14148868918755782842260915094774531603734126\
91968*x^16-510822808045245358851106264371670817281601961984*x^14+13940656502\
7722497487096101736422654786356117504*x^12-275594423589031134481078464410935\
25190897303552*x^10+3728650561885755431093095640711730459857387520*x^8-31885\
2810463040409696661391181839462679183360*x^6+1512905950923165412231973846533\
4477319045120*x^4-296513480119562954539083398466527016517632*x^2+22655743907\
3917301147262236866897772544
Common denominator of the automorphisms:
2113555586587466380701596690322029412849403520424929182577989102512138204733\
6216499322620775149414712897600629059738551337799397371415194352915665305755\
8183312786745680995567084011610392443081857815266732883541653531473032588967\
9009108379628991958106945730350747727291140941079287624631475824399511368213\
7298616490742952840056923569267188905072738479928246192492745420217934664686\
71565125889024792547753009959743352576409600
Complex polynomial:
x^108+378*x^102+11907*x^96-14788332*x^90+3008332953*x^84-124213232538*x^78+3\
1736084804019*x^72+187925372851176*x^66+1288818600168987*x^60+10427132415148\
326*x^54+117325397776084353*x^48+863462274771127284*x^42+4170923763312813579\
*x^36+1596705087174411834*x^30+3990389877534669129*x^24+5124157514897908176*\
x^18+3844050533832458304*x^12-31677185234608128*x^6+101559956668416
Common denominator of the automorphisms:
4027045965499636642611090544664154106380809030210529432513234904827140123099\
8208414346117120

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.