Group GAP4(80,45)

Name: C20 x C2 x C2
Maximal quotients:GAP4(16,10) GAP4(40,9) GAP4(40,14)
Real polynomial:

x^80-81*x^78+3159*x^76-79001*x^74+1423500*x^72-19687589*x^70+217406118*x^68-\
1968780727*x^66+14902215912*x^64-95621016985*x^62+525692729783*x^60-24964839\
73945*x^58+10305391555615*x^56-37154774876953*x^54+117416817171166*x^52-3260\
78497877940*x^50+797110948985207*x^48-1716747341225944*x^46+3258025274592900\
*x^44-5445398747399613*x^42+8005715459224040*x^40-10333086037104384*x^38+116\
77913115411128*x^36-11516186499302485*x^34+9866979381485276*x^32-73061074587\
67762*x^30+4645260208346270*x^28-2516288569226270*x^26+1150330698559774*x^24\
-438720054819746*x^22+137626454059084*x^20-34890649659996*x^18+6990511373465\
*x^16-1075290464164*x^14+122172433292*x^12-9719140223*x^10+501091150*x^8-148\
69032*x^6+206960*x^4-960*x^2+1

Common denominator of the automorphisms:

Complex polynomial:

x^80+x^78-x^70-x^68+x^60-x^56-x^50+x^46+x^40+x^34-x^30-x^24+x^20-x^12-x^10+x\
^2+1

Common denominator of the automorphisms:

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