Group GAP4(64,164)

Name: (Q8 : C4) : C2
Maximal quotients:GAP4(32,30) GAP4(32,40) GAP4(32,44)
Real polynomial:

x^64-144*x^62+9552*x^60-390432*x^58+11080200*x^56-232989696*x^54+3780238752*\
x^52-48636265248*x^50+505878824736*x^48-4313989216800*x^46+30476092609440*x^\
44-179725400591616*x^42+889696224175824*x^40-3711375959364288*x^38+130783026\
51873216*x^36-38977344315307584*x^34+98252108786134728*x^32-2092600467830390\
40*x^30+375757773758107200*x^28-566964010597622400*x^26+715492120542918048*x\
^24-750523839570713088*x^22+649130912300207232*x^20-458125942466369664*x^18+\
260295367984115328*x^16-116982277577092224*x^14+40621591866960000*x^12-10554\
853128818688*x^10+1960600165904448*x^8-242910928408320*x^6+17820025360128*x^\
4-592019290368*x^2+1536953616

Common denominator of the automorphisms:

22387823812049157325348739609128108596465865869598272086471273150825472

Complex polynomial:

x^64+4056*x^56+4206492*x^48-29225880*x^40+7249484934*x^32-16629475608*x^24+2\
8929049884*x^16-1925942184*x^8+43046721

Common denominator of the automorphisms:

299809078933049966592

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