Group GAP4(64,56)

Name: C2 x ((C4 x C2) : C4)
Maximal quotients:GAP4(32,2) GAP4(32,21) GAP4(32,22) GAP4(32,23)
Real polynomial:

x^64-264*x^62+28240*x^60-1660320*x^58+61038450*x^56-1507373064*x^54+26155322\
016*x^52-328590513720*x^50+3051614254545*x^48-21261340004760*x^46+1123314587\
72640*x^44-453694944291480*x^42+1409622227742930*x^40-3386043643364928*x^38+\
6313289771776752*x^36-9163607848488360*x^34+10373233234425060*x^32-916360784\
8488360*x^30+6313289771776752*x^28-3386043643364928*x^26+1409622227742930*x^\
24-453694944291480*x^22+112331458772640*x^20-21261340004760*x^18+30516142545\
45*x^16-328590513720*x^14+26155322016*x^12-1507373064*x^10+61038450*x^8-1660\
320*x^6+28240*x^4-264*x^2+1

Common denominator of the automorphisms:

233010616046050865963044922736972751208169566132252851200000

Complex polynomial:

x^64+163215*x^56+4994006145*x^48+910617958786*x^40+2410324231710*x^32+910617\
958786*x^24+4994006145*x^16+163215*x^8+1

Common denominator of the automorphisms:

3198973192972301076672808800000

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