Group GAP4(80,44)

Name: C2 x ((C10 x C2) : C2)
Maximal quotients:GAP4(16,11) GAP4(40,8) GAP4(40,13)
Real polynomial:
x^80-320*x^78+46696*x^76-4144240*x^74+251672112*x^72-11153239936*x^70+375553\
660736*x^68-9875716201856*x^66+206838855791360*x^64-3501117895889920*x^62+48\
431681461427200*x^60-552284400939993088*x^58+5227309160063889408*x^56-412904\
96428409282560*x^54+273393205097111666688*x^52-1522736149736226095104*x^50+7\
154469629953867710464*x^48-28417164399577219858432*x^46+95566406163040409223\
168*x^44-272371993680160202162176*x^42+658110687795943207600128*x^40-1347666\
712698527118524416*x^38+2336580371511601786781696*x^36-342399401378920156207\
5136*x^34+4229761160225543354843136*x^32-4389363674515316810973184*x^30+3808\
989457696771408920576*x^28-2748218767403074503835648*x^26+163705644862862486\
2478336*x^24-798245388724472293359616*x^22+315372138886940824961024*x^20-997\
31615382346926129152*x^18+24881588097975081500672*x^16-481328879475171419750\
4*x^14+706910475532950831104*x^12-76748773269574778880*x^10+5944275969350041\
600*x^8-311974329753534464*x^6+10213363510411264*x^4-178120883699712*x^2+109\
9511627776
Common denominator of the automorphisms:
4088762797951834531905655853642271556616589403139569119311796607550577614884\
0915117274166034234138483391522997397051736133807887911996536251397610665436\
09019083893582688298879762300928
Complex polynomial:
x^80+10*x^76+25*x^72+110*x^68-900*x^64-29010*x^60-162025*x^56-278250*x^52+38\
56175*x^48+12958500*x^44-39151800*x^40+271254500*x^36+2383289375*x^32+411192\
9750*x^28+5188294375*x^24+3727124750*x^20+1761477500*x^16-336331250*x^12+137\
355625*x^8-293750*x^4+625
Common denominator of the automorphisms:
11547981973095226081280000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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