Group GAP4(84,15)
Name: C42 x C2
Maximal quotients:GAP4(12,5) GAP4(28,4) GAP4(42,6)
Real polynomial:
x^84-84*x^82+3402*x^80-88480*x^78+1660659*x^76-23963940*x^74+276609410*x^72-\
2623427280*x^70+20840713425*x^68-140667096836*x^66+815488980306*x^64-4094709\
300864*x^62+17923831685032*x^60-68743623147360*x^58+231904508290991*x^56-690\
111966701640*x^54+1815349677112720*x^52-4226784322808320*x^50+87168531907362\
50*x^48-15923255705079520*x^46+25750890071932011*x^44-36825913771645284*x^42\
+46491365896874997*x^40-51693891096232840*x^38+50473337512527839*x^36-431161\
98567165724*x^34+32079806688678196*x^32-20677791782263168*x^30+1147296542083\
5221*x^28-5437916584157260*x^26+2181826880629200*x^24-732986392112576*x^22+2\
03480300164372*x^20-45927689432464*x^18+8260430982468*x^16-1153857715776*x^1\
4+121016940317*x^12-9097480028*x^10+458147053*x^8-13894440*x^6+211190*x^4-11\
76*x^2+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^84-x^70+x^56-x^42+x^28-x^14+1
Common denominator of the automorphisms:
1
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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