Group GAP4(80,7)

Name: D80
Maximal quotients:GAP4(16,7) GAP4(40,6)
Real polynomial:
x^80-400*x^78+76080*x^76-9160640*x^74+784357864*x^72-50860421184*x^70+259744\
0376256*x^68-107279397091584*x^66+3651674038818840*x^64-103879017852573184*x\
^62+2495747831756798464*x^60-51052521646015531008*x^58+894695785779799660320\
*x^56-13497030282936500781824*x^54+175893761013701429298432*x^52-19852609435\
42727321975808*x^50+19438303303885213855159312*x^48-165248199683730861447139\
072*x^46+1219772107401544986567308544*x^44-7812232185411504059764556800*x^42\
+43348331712703921852445402624*x^40-207897739656122473153237184512*x^38+8589\
79534521557444909893349376*x^36-3044310816670623788275630817280*x^34+9203452\
138239016658982922776576*x^32-23567189851927789423592629207040*x^30+50664649\
739603038533936747249664*x^28-90422150211635237835275386748928*x^26+13207377\
7858343271175464686977024*x^24-154992168682818092422389292859392*x^22+142606\
957215017665304246133719040*x^20-99497287663119243976814666711040*x^18+50192\
898647226095798756486152192*x^16-17037621457921616011582553194496*x^14+34652\
51332669694822804938031104*x^12-349944049025193760463368749056*x^10+16336757\
121457620163787489280*x^8-320553114971972629719678976*x^6+237428165157576369\
8188288*x^4-5961951036143946432512*x^2+1141795033465225216
Common denominator of the automorphisms:
2208230345810174969687084218951242896980057604923891322577345007236217123111\
4783239987580065935564658913447466970586788320093923521427896946637391752455\
316518265707295755099425893703837269422303418866680238427865088
Complex polynomial:
x^80-2676*x^72+2869990*x^64+360726732*x^56-41582246847*x^48+1674445206720*x^\
40-1545252936192*x^32-44064209584128*x^24+114982339543040*x^16-2195426220441\
6*x^8+1099511627776
Common denominator of the automorphisms:
2403859187831940580246511986492146174446796800000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.