Group GAP4(80,16)

Name: (C5 : C8) : C2
Maximal quotients:GAP4(16,8) GAP4(40,8)
Real polynomial:
x^80-2406*x^78+2330211*x^76-1258672434*x^74+435692407933*x^72-10456915578245\
1*x^70+18306228746839752*x^68-2420821009377914544*x^66+248012303604715679292\
*x^64-20059904475046919370654*x^62+1299616182135248031216162*x^60-6821158322\
7189952554099078*x^58+2926789044820899300289997292*x^56-10341977317127803029\
8622718818*x^54+3027651585709435554630431128824*x^52-73797901497018290336552\
523982701*x^50+1503731828341427119318833701586708*x^48-256974421184267415704\
87673120842817*x^46+369222079472349837077434339017102915*x^44-44683350988002\
43334558585501934082692*x^42+45598704542034222080860987993312810059*x^40-392\
561006597107216524854165220427530459*x^38+2850492088785715777926394870871518\
782840*x^36-17442442357689434217972226223632391343996*x^34+89801405855539773\
946316091640955835655275*x^32-388097969447901464693856654037689276308619*x^3\
0+1403561779089062957723497835869634751083325*x^28-4230805553177092158619036\
449769569077955942*x^26+10576833352001142439971094693754661394465242*x^24-21\
795677995259565358059090315726365610958668*x^22+3674626205139177721142603789\
2226934527207649*x^20-50222351633937536684741529804824100780627480*x^18+5501\
7467205478245986019920671771616548359600*x^16-476282906126887350948012928197\
65404089072000*x^14+31998055963000990910344687862549177991840000*x^12-162907\
20036967708450753433949149302492800000*x^10+60842268738943687053383822641535\
66848000000*x^8-1590820109633157828702022145761605120000000*x^6+270818787870\
755660462614366679040000000000*x^4-26421345158122503459767255285760000000000\
*x^2+1100889381588437644156968970240000000000
Common denominator of the automorphisms:
3545965903753939702860656013341650529962161258957776882183459221867282113998\
4404889254030440710808462841043883287909366960212865861130118924705091923601\
79665417262612771921376475940188193184792697335255589650027520000000000
Complex polynomial:
x^80+2197325956*x^72+1095739101191285892*x^64+105418765508499853360250880*x^\
56+383670829744124778047716617879552*x^48+4834962510511521189061542694417355\
24352*x^40+244262695217493161504621369193446308659068928*x^32+49027688306063\
161519342903432406725665005292748800*x^24+3013744221107681486456324059630512\
564407378375111344128*x^16+4678491071662580637824120670568699748978075808883\
661602816*x^8+968783356315878706771102052357804662001169691115928256774144
Common denominator of the automorphisms:
7479607963484671815751126168022848812863982641175549123867447579349725276676\
6858555573020235388676042362191872000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.