Group GAP4(64,111)

Name: (C4 . D8 = C4 . (C4 x C2)) : C2
Maximal quotient:GAP4(32,23)
Real polynomial:

x^64-336*x^62+51408*x^60-4769856*x^58+301664580*x^56-13862111760*x^54+481870\
772208*x^52-13027556819088*x^50+279479175517584*x^48-4829669879565888*x^46+6\
8003280875822544*x^44-786985335839082240*x^42+7534729964413351728*x^40-59964\
390084634654752*x^38+397953794307423998448*x^36-2206351426495001079168*x^34+\
10224798920379680336028*x^32-39580181229776327118720*x^30+127738501869888608\
541696*x^28-342626391330098375384640*x^26+760364442383749486611552*x^24-1387\
742869463465092068288*x^22+2066716597816359563032224*x^20-248632725713947992\
9665280*x^18+2384992847157980034717504*x^16-1793399783220133056315648*x^14+1\
033406249043891044189952*x^12-442329067673941240203264*x^10+1345357870169050\
19964960*x^8-27207561891764047481856*x^6+3287314592579052923328*x^4-19536496\
6690568336256*x^2+3488660119474434576

Common denominator of the automorphisms:

1368299127033641349457922181777710122443911821629482797010540093981340358165\
719360

Complex polynomial:

x^64+236016*x^48+5593004640*x^32+52620316416*x^16+1679616

Common denominator of the automorphisms:

2752804369671782400

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.