Group GAP4(64,28)

Name: C16 : C4
Maximal quotient:GAP4(32,4)
Real polynomial:

x^64-272*x^62+31688*x^60-2102560*x^58+89322284*x^56-2596081152*x^54+54004321\
056*x^52-832184586432*x^50+9763554496972*x^48-89167229973504*x^46+6452661400\
66880*x^44-3752893769144704*x^42+17738896076947248*x^40-68728763653063808*x^\
38+219660089761089984*x^36-581639188895384064*x^34+1279233169306813712*x^32-\
2338840780150588416*x^30+3551733062043643392*x^28-4468507504690130944*x^26+4\
637465630329502208*x^24-3945102509849452544*x^22+2727757483609616384*x^20-15\
16148403067846656*x^18+668058023971887104*x^16-229339909471272960*x^14+60038\
797072171008*x^12-11674403715416064*x^10+1631730827755520*x^8-15702756216012\
8*x^6+9764959944704*x^4-350312464384*x^2+5473632256

Common denominator of the automorphisms:

569161421069798571275771862617240257117893557340864512

Complex polynomial:

x^64+272*x^62+31688*x^60+2102560*x^58+89322284*x^56+2596081152*x^54+54004321\
056*x^52+832184586432*x^50+9763554496972*x^48+89167229973504*x^46+6452661400\
66880*x^44+3752893769144704*x^42+17738896076947248*x^40+68728763653063808*x^\
38+219660089761089984*x^36+581639188895384064*x^34+1279233169306813712*x^32+\
2338840780150588416*x^30+3551733062043643392*x^28+4468507504690130944*x^26+4\
637465630329502208*x^24+3945102509849452544*x^22+2727757483609616384*x^20+15\
16148403067846656*x^18+668058023971887104*x^16+229339909471272960*x^14+60038\
797072171008*x^12+11674403715416064*x^10+1631730827755520*x^8+15702756216012\
8*x^6+9764959944704*x^4+350312464384*x^2+5473632256

Common denominator of the automorphisms:

569161421069798571275771862617240257117893557340864512

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