Group GAP4(96,113)

Name: (C8 : C2) x S3
Maximal quotients:GAP4(32,37) GAP4(48,35)
Real polynomial:
x^96-612*x^94+149949*x^92-20177436*x^90+1709484778*x^88-98531887392*x^86+406\
3347123611*x^84-124238640114552*x^82+2892099175812056*x^80-52314107792938924\
*x^78+747232124545916825*x^76-8537270225875224324*x^74+78842424902081429646*\
x^72-593644847187578790712*x^70+3670637089301745223759*x^68-1875122228778189\
1426080*x^66+79545335559632514881396*x^64-281441937636928030488596*x^62+8336\
12015094799093316997*x^60-2073532196626833009529212*x^58+4342967357687953499\
073034*x^56-7676361564181872630757472*x^54+11471008338718431960617787*x^52-1\
4512318981266193795251656*x^50+15559740225137696337663426*x^48-1414706209710\
2165190035636*x^46+10909794943745993564870107*x^44-7134288433951046650266204\
*x^42+3953311889487183667259994*x^40-1854035904937008591460104*x^38+73459587\
3334266255980277*x^36-245306530845840355006416*x^34+68826519558588912390916*\
x^32-16162355766511523636748*x^30+3161441178115714069423*x^28-51213308030545\
0389204*x^26+68229281542658561934*x^24-7413558668898713968*x^22+650481950112\
894201*x^20-45548227615435304*x^18+2509902614530856*x^16-107043823893380*x^1\
4+3463300623563*x^12-82930046204*x^10+1423519482*x^8-16760232*x^6+126557*x^4\
-544*x^2+1
Common denominator of the automorphisms:
5151289307838353349214398973007963987429830637016410662697018531105337247772\
7920209866148378732452112309448812650088277876458182351264885638085187851058\
16729043824932403960827141950093620350449028615610383656546644784910336
Complex polynomial:
x^96+852827357491232*x^48+256
Common denominator of the automorphisms:
7878081670717440

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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