Group GAP4(80,10)

Name: (C5 : C8) : C2
Maximal quotients:GAP4(16,6) GAP4(40,7)
Real polynomial:

x^80-6015*x^78+16336740*x^76-26811250975*x^74+30007697573525*x^72-2449611089\
8650750*x^70+15225336221069915000*x^68-7423232661225356906875*x^66+290173850\
3913007755406875*x^64-924619370690081331428893750*x^62+243285834742617326005\
270800000*x^60-53403485403745865335019519296875*x^58+98603924372594014032319\
70832812500*x^56-1541626617221486631834505593740234375*x^54+2051935939266239\
51950813518503222656250*x^52-23352538053362598956556087501402587890625*x^50+\
2280303165287028684167266835629498291015625*x^48-191561667852880243190343576\
175480194091796875*x^46+13872490673370449058428628441277479553222656250*x^44\
-867222898022692563429529794125334968566894531250*x^42+468363712585411998689\
92891418683746623992919921875*x^40-21858094495920451920905776400317654991149\
90234375000*x^38+88120289554896752709353141545714869296550750732421875*x^36-\
3066101993236581599129319747797657876014709472656250000*x^34+919394229655668\
90032835735573147072800993919372558593750*x^32-23708659317346569320176558181\
07178765051066875457763671875*x^30+52431288560813839030305007960361358775012\
195110321044921875*x^28-9908481794687537363088442417057540678000077605247497\
55859375*x^26+15930430383020693567951864133582468317728489637374877929687500\
*x^24-216704927194989638530037747056559769102605059742927551269531250*x^22+2\
477409015773822270633173732676830026673269458115100860595703125*x^20-2360452\
7686122645185710642648911565044909366406500339508056640625*x^18+185508345882\
883628928865862333482667354473960585892200469970703125*x^16-1186973618691289\
283867437619607853115439866087399423122406005859375*x^14+6080958176231967619\
393314391723812974532847874797880649566650390625*x^12-2440128620209372899945\
0766777974720866950519848614931106567382812500*x^10+744292850636262379096689\
00515595790778888840577565133571624755859375*x^8-165283106217220024047312568\
110390529341202636715024709701538085937500*x^6+24978784810081689630334020112\
7285435944713753997348248958587646484375*x^4-2275274569070276949364435591441\
34685112703664344735443592071533203125*x^2+932489577487818421870670324361207\
72587173632928170263767242431640625

Common denominator of the automorphisms:

2138897346110805766972933687045984455684840153409070651808432963654228905150\
0053055976150405366284080167832333802749271590366127689370518462882325935501\
8633345611724464033355320358484948925646171655042804271573686492047272622585\
29663085937500000

Complex polynomial:

x^80+9139560327655952*x^64+8868300784266656072143697084416*x^48+427818597491\
894711009367901668722960012148736*x^32+3674972244917597095715348795924800716\
873255832468324352*x^16+9920341568674597957336085016143919738891977637027105\
34936723456

Common denominator of the automorphisms:

4774961402441799986823835284788507739246722900249897909399951109382002226973\
8768304773795428140406665683088179200

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.