Group GAP4(80,46)

Name: C10 x D8
Maximal quotients:GAP4(16,11) GAP4(40,10) GAP4(40,14)
Real polynomial:
x^80-164*x^78+12953*x^76-656180*x^74+23956872*x^72-671529324*x^70+1503372915\
9*x^68-276085003844*x^66+4239164310599*x^64-55195753390216*x^62+615959035444\
352*x^60-5939728432473988*x^58+49805401998472481*x^56-364890649427431968*x^5\
4+2344133220678670633*x^52-13238882775019812396*x^50+65842102989181482760*x^\
48-288622600943815084040*x^46+1115333258336235582663*x^44-379748511058513945\
3128*x^42+11378201687121051016167*x^40-29943319940856547572336*x^38+69026503\
334412454092631*x^36-138903954194866123606208*x^34+242942873499140363492744*\
x^32-367329350968233065621684*x^30+477017229998584760839737*x^28-52784634465\
8035780866952*x^26+492979135653991906825049*x^24-384132776375814263984068*x^\
22+246256508642090548753696*x^20-127692711160258989364056*x^18+5246212083970\
4014486095*x^16-16655092140524357241980*x^14+3963980884021353573623*x^12-681\
882830108538803012*x^10+80985076686985852088*x^8-6235645405336448492*x^6+282\
181125082079913*x^4-6334458509887196*x^2+53509854091849
Common denominator of the automorphisms:
25530681015565705037009969589
Complex polynomial:
x^80+3*x^76-7*x^72-69*x^68-95*x^64+819*x^60+3977*x^56-1173*x^52-67151*x^48-1\
82685*x^44+526361*x^40-2922960*x^36-17190656*x^32-4804608*x^28+260636672*x^2\
4+858783744*x^20-1593835520*x^16-18522046464*x^12-30064771072*x^8+2061584302\
08*x^4+1099511627776
Common denominator of the automorphisms:
3183070219492917248

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
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