Group GAP4(80,51)

Name: C2 x C2 x C2 x D10
Maximal quotients:GAP4(16,14) GAP4(40,13)
Real polynomial:

x^80-528*x^78+98036*x^76-9507984*x^74+563533234*x^72-22207274028*x^70+613801\
088308*x^68-12351183407304*x^66+185995772749919*x^64-2140785532852368*x^62+1\
9147004811406999*x^60-134836954972906356*x^58+755628782345233052*x^56-339889\
6011964123632*x^54+12357506222395432156*x^52-36520521022185521268*x^50+88127\
114918645027759*x^48-174249052994895889104*x^46+283046516289442126879*x^44-3\
78408648673316368428*x^42+416816018035468411235*x^40-378408648673316368428*x\
^38+283046516289442126879*x^36-174249052994895889104*x^34+881271149186450277\
59*x^32-36520521022185521268*x^30+12357506222395432156*x^28-3398896011964123\
632*x^26+755628782345233052*x^24-134836954972906356*x^22+19147004811406999*x\
^20-2140785532852368*x^18+185995772749919*x^16-12351183407304*x^14+613801088\
308*x^12-22207274028*x^10+563533234*x^8-9507984*x^6+98036*x^4-528*x^2+1

Common denominator of the automorphisms:

3912600797473225715579947730916769208776967360371102821587005244923136072833\
1785359492264022347417

Complex polynomial:

x^80-17*x^76+161*x^72-1998*x^68+14466*x^64+2697*x^60-37686*x^56-124683*x^52+\
143474*x^48+187751*x^44-37707*x^40+187751*x^36+143474*x^32-124683*x^28-37686\
*x^24+2697*x^20+14466*x^16-1998*x^12+161*x^8-17*x^4+1

Common denominator of the automorphisms:

19199797573152625

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