Group GAP4(64,237)

Name: (C4 x Q8) : C2
Maximal quotients:GAP4(32,48) GAP4(32,50)
Real polynomial:

x^64-1560*x^62+941616*x^60-309614760*x^58+63681191496*x^56-8818103909160*x^5\
4+860193914263632*x^52-60964958671919640*x^50+3210602902529882652*x^48-12778\
3483227401147640*x^46+3893662932128512364016*x^44-91728971244945270891720*x^\
42+1683161842029347578791672*x^40-24186570476532568702420680*x^38+2732276989\
04931310728354192*x^36-2432693371027674051950473080*x^34+1709600810672002181\
3516959686*x^32-94875041470079288026068450120*x^30+4155793300344005236178267\
26032*x^28-1434723174097435442858892316920*x^26+3893895614986215892027384463\
352*x^24-8276172955669219865043452732280*x^22+137008021498641693310926609041\
76*x^20-17535856040245371367597105087560*x^18+171831764660671093763342310756\
12*x^16-12725115911701259054705330126760*x^14+700232777411645224116754615483\
2*x^12-2799534922157138441862259641240*x^10+788472344083527140393505971016*x\
^8-149507007076340843494359052440*x^6+17732841318781554948554750256*x^4-1145\
760124970975220334054440*x^2+28644003124274380508351361

Common denominator of the automorphisms:

251105059165143950314420480021494362247033911052414261657600

Complex polynomial:

x^64+3950*x^56+461875*x^48+17187500*x^40+408203125*x^32+10742187500*x^24+180\
419921875*x^16+964355468750*x^8+152587890625

Common denominator of the automorphisms:

105823974609375000

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.