Group GAP4(52,5)

Name: C26 x C2
Maximal quotients:GAP4(4,2) GAP4(26,2)
Real polynomial:

x^52-102*x^50+4900*x^48-147392*x^46+3113280*x^44-49086048*x^42+599476416*x^4\
0-5808591360*x^38+45371552512*x^36-288728061440*x^34+1506757604352*x^32-6470\
578110464*x^30+22883751854080*x^28-66538909237248*x^26+158425974374400*x^24-\
306846097735680*x^22+478928706600960*x^20-594748067020800*x^18+5777552651059\
20*x^16-429291837849600*x^14+236760952995840*x^12-93013231534080*x^10+245489\
46739200*x^8-3984756572160*x^6+343513497600*x^4-11777605632*x^2+67108864

Common denominator of the automorphisms:

33554432

Complex polynomial:

x^52+51*x^50+1225*x^48+18424*x^46+194580*x^44+1533939*x^42+9366819*x^40+4537\
9620*x^38+177232627*x^36+563921995*x^34+1471442973*x^32+3159461968*x^30+5586\
853480*x^28+8122425444*x^26+9669554100*x^24+9364199760*x^22+7307872110*x^20+\
4537567650*x^18+2203961430*x^16+818809200*x^14+225792840*x^12+44352165*x^10+\
5852925*x^8+475020*x^6+20475*x^4+351*x^2+1

Common denominator of the automorphisms:

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