Group GAP4(64,253)

Name: C2 x ((C8 x C2) : C2)
Maximal quotients:GAP4(32,42) GAP4(32,46)
Real polynomial:

x^64-336*x^62+47628*x^60-3829056*x^58+199268664*x^56-7236087936*x^54+1922551\
98912*x^52-3858758857632*x^50+59845166798340*x^48-729171664003776*x^46+70682\
15739428928*x^44-55043207137399488*x^42+347002621321890464*x^40-178149101972\
7578880*x^38+7481803437320097312*x^36-25784826457183463040*x^34+730564625442\
15386880*x^32-170269850051122843392*x^30+326208843692039085120*x^28-51269918\
4168618026496*x^26+658844691037840465536*x^24-688935282546912135168*x^22+582\
482692825753563648*x^20-394945183047305522688*x^18+212523603379240455232*x^1\
6-89555874216781980672*x^14+29043151800005597184*x^12-7081630119035845632*x^\
10+1256739818722278912*x^8-154733082303614976*x^6+12245327224800768*x^4-5422\
28511799296*x^2+9682651996416

Common denominator of the automorphisms:

10993652169330173728976790583690343226254241169238712090624

Complex polynomial:

x^64-476*x^56+221764*x^48-2286704*x^40+22249024*x^32-9146816*x^24+3548224*x^\
16-30464*x^8+256

Common denominator of the automorphisms:

3634955373772800

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