Group GAP4(80,47)
Name: C10 x Q8
Maximal quotients:GAP4(16,12) GAP4(40,11) GAP4(40,14)
Real polynomial:
x^80-240*x^78+27720*x^76-2052000*x^74+109390626*x^72-4473661104*x^70+1460004\
63336*x^68-3905265900384*x^66+87262929696105*x^64-1652001563623104*x^62+2678\
0539409166240*x^60-374800968557951616*x^58+4557019150675991358*x^56-48366540\
909572970672*x^54+449737777577495919528*x^52-3673298231528095890144*x^50+263\
99396588176843004484*x^48-167108802663006616689216*x^46+93195470863070038411\
8624*x^44-4577373935630160738996096*x^42+19779777633857163916565880*x^40-750\
73789059148737978878016*x^38+249694317705983913324730080*x^36-72555495461681\
1037149930624*x^34+1834982214864058608544446147*x^32-40205512667232593864927\
91072*x^30+7589390390673424973054404848*x^28-12259857293739782064932690880*x\
^26+16812492939850256233327457586*x^24-19384377699894645123078961680*x^22+18\
572324323280982992380032120*x^20-14576756515341226166514633120*x^18+92068907\
23049761107870871239*x^16-4575294261451739699440908624*x^14+1736865258555682\
526848953624*x^12-483853117684174416675742176*x^10+9334433168945834931034529\
4*x^8-11380593036759470318570832*x^6+741810920371421891056920*x^4-1723844829\
7376691392160*x^2+34540162431164102241
Common denominator of the automorphisms:
47947441937419734984
Complex polynomial:
x^80+240*x^78+27720*x^76+2052000*x^74+109390626*x^72+4473661104*x^70+1460004\
63336*x^68+3905265900384*x^66+87262929696105*x^64+1652001563623104*x^62+2678\
0539409166240*x^60+374800968557951616*x^58+4557019150675991358*x^56+48366540\
909572970672*x^54+449737777577495919528*x^52+3673298231528095890144*x^50+263\
99396588176843004484*x^48+167108802663006616689216*x^46+93195470863070038411\
8624*x^44+4577373935630160738996096*x^42+19779777633857163916565880*x^40+750\
73789059148737978878016*x^38+249694317705983913324730080*x^36+72555495461681\
1037149930624*x^34+1834982214864058608544446147*x^32+40205512667232593864927\
91072*x^30+7589390390673424973054404848*x^28+12259857293739782064932690880*x\
^26+16812492939850256233327457586*x^24+19384377699894645123078961680*x^22+18\
572324323280982992380032120*x^20+14576756515341226166514633120*x^18+92068907\
23049761107870871239*x^16+4575294261451739699440908624*x^14+1736865258555682\
526848953624*x^12+483853117684174416675742176*x^10+9334433168945834931034529\
4*x^8+11380593036759470318570832*x^6+741810920371421891056920*x^4+1723844829\
7376691392160*x^2+34540162431164102241
Common denominator of the automorphisms:
47947441937419734984
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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