Group GAP4(80,28)

Name: (C5 : C8) : C2
Maximal quotients:GAP4(16,5) GAP4(40,12)
Real polynomial:
x^80-280*x^78+36900*x^76-3047640*x^74+177232170*x^72-7730513016*x^70+2630860\
35420*x^68-7175284488600*x^66+159867316916685*x^64-2951501716588640*x^62+456\
44902300086864*x^60-596260792539124320*x^58+6622025523495172600*x^56-6283960\
3880154774880*x^54+511472598309120681200*x^52-3580801069505079193312*x^50+21\
604874061248800189650*x^48-112471907865695732237520*x^46+5054202051587556596\
54520*x^44-1960091160064804175977040*x^42+6554252436473420576978620*x^40-188\
67209492229605147837840*x^38+46648669231125338886954440*x^36-987648764288504\
61549908560*x^34+178372326421370759409408530*x^32-27349415010585444132183523\
2*x^30+353952817197528053124251280*x^28-383945985717552800345340640*x^26+346\
125672579836694728670200*x^24-256656454202754782022783200*x^22+1545651694296\
93434541492016*x^20-74405888376729135974506080*x^18+280518482363610377915277\
25*x^16-8060226103655831095832280*x^14+1699229538989464038377860*x^12-248379\
835645417024892824*x^10+22958069395982716095530*x^8-1128085895275208200120*x\
^6+19175193169266365500*x^4-38143943276445400*x^2+19611018835489
Common denominator of the automorphisms:
8972206965391832923984853087356396952381763675972176508407265362019409035524\
9987143669640109609741388700080091013078052219928142709876790734221422579631\
9307735498752
Complex polynomial:
x^80-40060*x^64+407879302*x^48+1226593156*x^32+539009*x^16+256
Common denominator of the automorphisms:
95269181727413075968

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