Group GAP4(64,234)

Name: (C4 x D8) : C2
Maximal quotients:GAP4(32,48) GAP4(32,49)
Real polynomial:

x^64-240*x^62+25452*x^60-1597680*x^58+66928824*x^56-1997462160*x^54+44239891\
176*x^52-747480010680*x^50+9824839466562*x^48-101899683257760*x^46+842727899\
791332*x^44-5599989684690840*x^42+30062053211177088*x^40-130833112367251440*\
x^38+462498591229198236*x^36-1328526212726227680*x^34+3097715996706352371*x^\
32-5848406827733694240*x^30+8904487422049776324*x^28-10871475030372759480*x^\
26+10563509906069609088*x^24-8090774418874430160*x^22+4826244135802199868*x^\
20-2209161343596703200*x^18+762048181352429442*x^16-193778485988504400*x^14+\
35358758267430744*x^12-4476710711961000*x^10+376365593618424*x^8-19767054283\
200*x^6+591806320308*x^4-8609344200*x^2+43046721

Common denominator of the automorphisms:

5505168531887455615352551338582734322239999959372458123196799448000

Complex polynomial:

x^64+54*x^60+2025*x^56+36234*x^52+450036*x^48+2852820*x^44+11972367*x^40+457\
95780*x^36+155305431*x^32+412162020*x^28+969761727*x^24+2079705780*x^20+2952\
686196*x^16+2139581466*x^12+1076168025*x^8+258280326*x^4+43046721

Common denominator of the automorphisms:

834882614272581462

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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