Group GAP4(64,215)
Name: (C2 x C2 x D8) : C2
Maximal quotients:GAP4(32,46) GAP4(32,49)
Real polynomial:
x^64-420*x^62+78540*x^60-8784720*x^58+664559609*x^56-36394207080*x^54+150633\
6862380*x^52-48530877625020*x^50+1243238741384080*x^48-25728115343537460*x^4\
6+435317622754363020*x^44-6078054472771136520*x^42+70528741075634732681*x^40\
-683828589147735205440*x^38+5561878760449075607340*x^36-38050635318443609191\
260*x^34+219307265477756038146529*x^32-1065417788916421057355280*x^30+436051\
2948192075276154560*x^28-15011405188971083229818880*x^26+4335091387458534225\
0772736*x^24-104605554200437239287439360*x^22+209775341565657313034158080*x^\
20-347147621078841268974059520*x^18+469698080903638926496890880*x^16-5133817\
51336507918815068160*x^14+446172108191085869263749120*x^12-30183570097911183\
3643253760*x^10+154322879450345353294905344*x^8-57119228255446170662338560*x\
^6+14298923271443686631669760*x^4-2141015249200124201533440*x^2+142734349946\
674946768896
Common denominator of the automorphisms:
726252094516329800188933694110711975985580087964603036729344
Complex polynomial:
x^64+592*x^56+11196*x^48-40528*x^40+57734*x^32-40528*x^24+11196*x^16+592*x^8\
+1
Common denominator of the automorphisms:
1792000
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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