Group GAP4(64,35)
Name: (C4 x C4) : C4
Maximal quotient:GAP4(32,6)
Real polynomial:
x^64-272*x^62+31872*x^60-2149344*x^58+93900048*x^56-2835220832*x^54+61632480\
256*x^52-992033165632*x^50+12065184808048*x^48-112543932568384*x^46+81409607\
0247936*x^44-4603072071298432*x^42+20455611026212288*x^40-71688971253192576*\
x^38+198475292554377216*x^36-434198403026835712*x^34+749848230955639904*x^32\
-1020108819192333056*x^30+1089651987261618176*x^28-909659501933722112*x^26+5\
89670699143493376*x^24-294152312936227328*x^22+111512683488051200*x^20-31570\
849828027392*x^18+6515380634699520*x^16-948085415115776*x^14+93079815626752*\
x^12-5847066757120*x^10+223251973120*x^8-4837648384*x^6+52264960*x^4-208896*\
x^2+256
Common denominator of the automorphisms:
209026094876305867508483868206473456556626188012821428763568354428285091840
Complex polynomial:
x^64+272*x^62+31872*x^60+2149344*x^58+93900048*x^56+2835220832*x^54+61632480\
256*x^52+992033165632*x^50+12065184808048*x^48+112543932568384*x^46+81409607\
0247936*x^44+4603072071298432*x^42+20455611026212288*x^40+71688971253192576*\
x^38+198475292554377216*x^36+434198403026835712*x^34+749848230955639904*x^32\
+1020108819192333056*x^30+1089651987261618176*x^28+909659501933722112*x^26+5\
89670699143493376*x^24+294152312936227328*x^22+111512683488051200*x^20+31570\
849828027392*x^18+6515380634699520*x^16+948085415115776*x^14+93079815626752*\
x^12+5847066757120*x^10+223251973120*x^8+4837648384*x^6+52264960*x^4+208896*\
x^2+256
Common denominator of the automorphisms:
209026094876305867508483868206473456556626188012821428763568354428285091840
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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