Group GAP4(64,144)

Name: (C4 x D8) : C2
Maximal quotients:GAP4(32,28) GAP4(32,42) GAP4(32,43)
Real polynomial:
x^64-288*x^62+38280*x^60-3126096*x^58+176165928*x^56-7294405536*x^54+2307265\
06968*x^52-5722183581264*x^50+113325761266668*x^48-1816036940018592*x^46+237\
74722011868680*x^44-256038511498198416*x^42+2279236481851083768*x^40-1682338\
7362412591136*x^38+103126320636149074968*x^36-525099757809012510096*x^34+221\
8236215579013390102*x^32-7753434361169581339488*x^30+22324491282402311832792\
*x^28-52607323774577661503472*x^26+100534014986294260691928*x^24-15384354626\
4785178872544*x^22+185237676970269611324616*x^20-171236189761994245403376*x^\
18+117323825525462220324876*x^16-56550232718861820403680*x^14+17692097563537\
294032792*x^12-3165086312164332264240*x^10+272502741731593488264*x^8-9563324\
041321736544*x^6+151401893344517448*x^4-1097953798311216*x^2+2977498644849
Common denominator of the automorphisms:
160929949965119338369678041254540167656124064943886174092603818130498650112
Complex polynomial:
x^64+168*x^56+988*x^48+6552*x^40+27846*x^32+6552*x^24+988*x^16+168*x^8+1
Common denominator of the automorphisms:
2981888

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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