Group GAP4(64,219)

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

x^64-420*x^62+69580*x^60-6397440*x^58+375458433*x^56-15174477780*x^54+443093\
375060*x^52-9664509281700*x^50+161349960900296*x^48-2100109309383120*x^46+21\
611397314272920*x^44-177725504262435360*x^42+1177597309781721703*x^40-632556\
4913393082000*x^38+27669997967447547880*x^36-98868510916603027740*x^34+28908\
2597939951746959*x^32-692079576416221194180*x^30+1355829900404929846120*x^28\
-2169668765293827126000*x^26+2827411140785913808903*x^24-2987032550138751095\
520*x^22+2542559282626894765080*x^20-1729530320977302794160*x^18+93015041594\
7987281096*x^16-389997809401574091900*x^14+125162911450323889940*x^12-300049\
00725453270540*x^10+5196828003190416033*x^8-619841630738158080*x^6+471907614\
08833420*x^4-1993975834176060*x^2+33232930569601

Common denominator of the automorphisms:

1649442793039055067683229054791612336611943175

Complex polynomial:

x^64+20*x^60+984*x^56+7360*x^52+6914*x^48+57300*x^44+412864*x^40-2314540*x^3\
6+3664755*x^32-2314540*x^28+412864*x^24+57300*x^20+6914*x^16+7360*x^12+984*x\
^8+20*x^4+1

Common denominator of the automorphisms:

287238246593472

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