Group GAP4(64,132)

Name: (C2 x Q16) : C2
Maximal quotients:GAP4(32,27) GAP4(32,41) GAP4(32,44)
Real polynomial:

x^64-528*x^62+122628*x^60-16727040*x^58+1510449776*x^56-96480079872*x^54+454\
7165278656*x^52-162804945417312*x^50+4522805439006844*x^48-99051476681435520\
*x^46+1731077605424733984*x^44-24371116971048395328*x^42+2784313897510389453\
44*x^40-2595850498445860605312*x^38+19831822947631639079520*x^36-12451189429\
0212719224704*x^34+643508416637900953765648*x^32-2739261674384679822943488*x\
^30+9598602306653713314487680*x^28-27640616107451523725362176*x^26+652242236\
37519379180504064*x^24-125599768297738083711031296*x^22+19626941271960621833\
1457536*x^20-247069832178386752475381760*x^18+248192899298872532782480384*x^\
16-196549399106627513255215104*x^14+120772358720947358327046144*x^12-5637507\
6390836295765590016*x^10+19416835844547698952175616*x^8-47305751506126405160\
14080*x^6+762969499117906777669632*x^4-72272675912137563439104*x^2+301136149\
6339065143296

Common denominator of the automorphisms:

61082745316622491499314196412822404409926071133812569912849334272

Complex polynomial:

x^64+616*x^56+185628*x^48+27926360*x^40+2259353990*x^32+30412383960*x^24+113\
260311196*x^16-2190571544*x^8+43046721

Common denominator of the automorphisms:

105245752698801656717377536

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