Group GAP4(64,178)

Name: (C2 x Q16) : C2
Maximal quotients:GAP4(32,34) GAP4(32,44)
Real polynomial:

x^64-528*x^62+119592*x^60-15551712*x^58+1313426048*x^56-77176518144*x^54+329\
6418890688*x^52-105485729842944*x^50+2585229905089216*x^48-49339975405670400\
*x^46+742855115720678400*x^44-8912565486206300160*x^42+85883468644327473152*\
x^40-668691734932100284416*x^38+4225162127541234130944*x^36-2172750341172974\
9213184*x^34+91068734312830329696256*x^32-311158009841708667568128*x^30+8656\
08775391148697092096*x^28-1955567460828251102773248*x^26+3573485999315079716\
667392*x^24-5252498993947202656665600*x^22+6165055986621179697561600*x^20-57\
25222175509954937487360*x^18+4158040647540852897611776*x^16-2327392496940539\
694809088*x^14+985357025687315731709952*x^12-307838342841556556316672*x^10+6\
8588361433574128222208*x^8-10365760293850771881984*x^6+979817070142169284608\
*x^4-49715876709116411904*x^2+920664383502155776

Common denominator of the automorphisms:

2883812503951534106027511553878725524910226298110842845571627870380843075884\
81024000

Complex polynomial:

x^64+56*x^56+3112*x^48+896*x^40-11984*x^32+3584*x^24+49792*x^16+3584*x^8+256

Common denominator of the automorphisms:

4831174656

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