Group GAP4(64,147)

Name: (C8 x C2 x C2) : C2
Maximal quotients:GAP4(32,28) GAP4(32,39) GAP4(32,42)
Real polynomial:

x^64-672*x^62+208432*x^60-39731552*x^58+5228238456*x^56-505679412000*x^54+37\
371687947664*x^52-2165708827522016*x^50+100205328995807644*x^48-374984881043\
2795168*x^46+114546563181828788528*x^44-2874902441194222546912*x^42+59542938\
413839032007240*x^40-1020288366401038748103328*x^38+144791895711625415179717\
28*x^36-170102536834798327010489952*x^34+1651276465151538044891546566*x^32-1\
3201187681139434160037832160*x^30+86475055230745443984815585296*x^28-4608555\
17129350688155711711776*x^26+1978916047289326674389116319560*x^24-6757793752\
998147501189500943200*x^22+18031567813156698865985808588848*x^20-36699118890\
207449210985824728480*x^18+55102287714949837322122774183068*x^16-58222732726\
318553297627280014688*x^14+40482722787858068215315503900816*x^12-16914213830\
020323941707006839968*x^10+3868365564503772885460408608632*x^8-4274065583119\
42149334441352928*x^6+18551872814203509362865262896*x^4-23506794943541789326\
3341600*x^2+593228581248983850625

Common denominator of the automorphisms:

3319159629179106566052576807873383483934723791293478194895396590980169728000\
000

Complex polynomial:

x^64+496*x^56+98497*x^48+315952*x^40+456064*x^32+315952*x^24+98497*x^16+496*\
x^8+1

Common denominator of the automorphisms:

13878037152

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.