Group GAP4(64,213)

Name: (C4 x C4 x C2) : C2
Maximal quotients:GAP4(32,46) GAP4(32,48)
Real polynomial:
x^64-220*x^62+20168*x^60-1046760*x^58+34931490*x^56-804167100*x^54+133605579\
84*x^52-165302476020*x^50+1558374532563*x^48-11389945854980*x^46+65406795438\
656*x^44-298183730609380*x^42+1087945588010722*x^40-3196478198701480*x^38+75\
97252540338440*x^36-14652875576543820*x^34+22975633461567297*x^32-2930575115\
3087640*x^30+30389010161353760*x^28-25571825589611840*x^26+17407129408171552\
*x^24-9541879379500160*x^22+4186034908073984*x^20-1457913069437440*x^18+3989\
43880336128*x^16-84634867722240*x^14+13681211375616*x^12-1646934220800*x^10+\
143079383040*x^8-8575057920*x^6+330432512*x^4-7208960*x^2+65536
Common denominator of the automorphisms:
126301677641406165758486425942726645756120335535570944
Complex polynomial:
x^64+28*x^56+36394*x^48+22960*x^40+602035*x^32+22960*x^24+36394*x^16+28*x^8+\
1
Common denominator of the automorphisms:
1652269627008

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