Group GAP4(64,88)

Name: (C2 x (C8 : C2)) : C2
Maximal quotients:GAP4(32,22) GAP4(32,37)
Real polynomial:

x^64-256*x^62+31256*x^60-2422400*x^58+133813792*x^56-5608365056*x^54+1853621\
03784*x^52-4957381872768*x^50+109234987074081*x^48-2008940494756032*x^46+311\
26536384414464*x^44-409032961559523328*x^42+4579819605867326464*x^40-4381804\
9586448269312*x^38+358738419460335376384*x^36-2513274027738918125568*x^34+15\
048456436874066772480*x^32-76810297551141673697280*x^30+33289528402632970662\
7072*x^28-1218369804922577251467264*x^26+3738469931430740811055104*x^24-9527\
999318990413583351808*x^22+19931035650015376765353984*x^20-33703906463092516\
979736576*x^18+45185321098182119651344384*x^16-46832899256180740672454656*x^\
14+36312535261115512191451136*x^12-20166999500534237515218944*x^10+757157817\
3385919256592384*x^8-1779420576365858458173440*x^6+236385735710361572605952*\
x^4-14943975656557320863744*x^2+282174700430194376704

Common denominator of the automorphisms:

965415840376705005066242208954069286057889650964253949034496

Complex polynomial:

x^64-496*x^48+6406144*x^32-126976*x^16+65536

Common denominator of the automorphisms:

138007281664

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