Group GAP4(64,189)

Name: (C16 x C2) : C2
Maximal quotient:GAP4(32,39)
Real polynomial:

x^64-224*x^62+22688*x^60-1383424*x^58+57012288*x^56-1689511424*x^54+37396231\
424*x^52-633995072512*x^50+8377681297728*x^48-87374097316864*x^46+7258123471\
74912*x^44-4834189435699200*x^42+25935854414557184*x^40-112423344650895360*x\
^38+394325290316980224*x^36-1119356731066548224*x^34+2568718828454358016*x^3\
2-4754397174590177280*x^30+7073342774336290816*x^28-8421977230582743040*x^26\
+7984729262663794688*x^24-5994618108726738944*x^22+3543262359538368512*x^20-\
1638781992474509312*x^18+588913016128208896*x^16-162947906901377024*x^14+342\
74469726912512*x^12-5377954943074304*x^10+611528434778112*x^8-48109572849664\
*x^6+2417412276224*x^4-66270003200*x^2+655360000

Common denominator of the automorphisms:

8747207055848750921955763336350465355338337922033914515982127898682660290560\
000000

Complex polynomial:

x^64-56*x^56+3896*x^48+42112*x^40+590128*x^32-168448*x^24+62336*x^16+3584*x^\
8+256

Common denominator of the automorphisms:

20826624000

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