Group GAP4(80,32)

Name: C2 x (C5 : C8)
Maximal quotients:GAP4(16,5) GAP4(40,3) GAP4(40,12)
Real polynomial:

x^80-240*x^78+26760*x^76-1845600*x^74+88444420*x^72-3136543200*x^70+85612790\
800*x^68-1847115387200*x^66+32107076298100*x^64-456070408876800*x^62+5352095\
893507200*x^60-52335025220339200*x^58+429340794972766400*x^56-29713060580947\
84000*x^54+17425113369683897600*x^52-86910353833006105600*x^50+3697540723210\
81613600*x^48-1344950310636382016000*x^46+4189921303665464160000*x^44-111923\
90778880525440000*x^42+25652175670235369302400*x^40-50445833041085268608000*\
x^38+85070017408691799232000*x^36-122869481726318964480000*x^34+151699585259\
665130704000*x^32-159665857202496099840000*x^30+142743933556804389120000*x^2\
8-107898287418568248320000*x^26+68559745302248542080000*x^24-363587538458241\
99680000*x^22+15951336282986621440000*x^20-5726599206364497920000*x^18+16596\
47329639833120000*x^16-381694014135846400000*x^14+68136538508709120000*x^12-\
9165019948907520000*x^10+890853700373120000*x^8-58702600883200000*x^6+234723\
9692800000*x^4-44592793600000*x^2+129024640000

Common denominator of the automorphisms:

1701264130988873655150653742649363761591363886777483123990338236085327011594\
254836421195148259686895479074840521662791680000

Complex polynomial:

x^80+3438890756*x^64+52629682580235526*x^48+18888416162393058532612*x^32+313\
913415024306667062658817*x^16+3011361496339065143296

Common denominator of the automorphisms:

8488904345209874698634064677586850298469516373154824413133897230815536703078\
4

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.