Group GAP4(64,221)

Name: (C4 x D8) : C2
Maximal quotients:GAP4(32,48) GAP4(32,49)
Real polynomial:

x^64-1040*x^62+448448*x^60-106889120*x^58+15931654336*x^56-1600154895040*x^5\
4+113811040408832*x^52-5931066114413440*x^50+231959989877427136*x^48-6926213\
271163480320*x^46+159912814138298317824*x^44-2882471839809777646080*x^42+408\
73964409281320039424*x^40-458761122015020409195520*x^38+40952610078084923496\
07936*x^36-29178703503008539868477440*x^34+166295167289733158841861632*x^32-\
758646291078222036580413440*x^30+2768396441278540828334964736*x^28-806318548\
0535998712020459520*x^26+18678420759895740506335821824*x^24-3424773173819173\
6689471406080*x^22+49399591071876196170095591424*x^20-5563003023247708859375\
1736320*x^18+48439523785181782854206734336*x^16-3220274528845766182029983744\
0*x^14+16066374027803828121201016832*x^12-5873119697336567351043031040*x^10+\
1520341151179044924324315136*x^8-265208247202218983320453120*x^6+28929369135\
744200760885248*x^4-1744349715977154962391040*x^2+43608742899428874059776

Common denominator of the automorphisms:

1089981541934514089862679583839341980309582914088620523520

Complex polynomial:

x^64-37*x^56+739*x^48-5335*x^40+24640*x^32-5335*x^24+739*x^16-37*x^8+1

Common denominator of the automorphisms:

38759424

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