Group GAP4(80,42)

Name: (C4 x D10) : C2
Maximal quotients:GAP4(16,13) GAP4(40,13)
Real polynomial:
x^80-588*x^78+148572*x^76-21740112*x^74+2089186443*x^72-141404146200*x^70+70\
46939044260*x^68-266598807681672*x^66+7828510229626635*x^64-1814511011334219\
00*x^62+3363415801837816464*x^60-50379207412694678064*x^58+61488009787063719\
6432*x^56-6156164849635648783944*x^54+50832767190221157521772*x^52-347644980\
696547874392596*x^50+1975663921531825111283793*x^48-935270674571518746406351\
2*x^46+36944659392671588506449156*x^44-121903433108019529224508908*x^42+3361\
50982654396397112257577*x^40-774593013257116155923604912*x^38+14906270754629\
12886141024864*x^36-2392871557382177002838779968*x^34+3198662203214513491003\
314720*x^32-3552012962763547273988194944*x^30+3266411142661662759051861504*x\
^28-2477506250592569540245510656*x^26+1542157353114330823905671424*x^24-7829\
39321260104018257344512*x^22+321758469073261345704284160*x^20-10605390990706\
9928834555904*x^18+27720275847504523396005888*x^16-5665141893851110668828672\
*x^14+889070879285535821856768*x^12-104624446960580183064576*x^10+8933945223\
361797292032*x^8-527693957014029336576*x^6+19991874350264352768*x^4-42411437\
9047305216*x^2+3656158440062976
Common denominator of the automorphisms:
9502882705070470056636210786931787549500034558746115032478218456908043144875\
7331340311861978337080645555571155691576237324009521822735669627982945640670\
8224
Complex polynomial:
x^80+2046*x^72+6723*x^64+64320*x^56+94589*x^48+185926*x^40+94589*x^32+64320*\
x^24+6723*x^16+2046*x^8+1
Common denominator of the automorphisms:
4978614050816

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