Group GAP4(80,21)

Name: C5 x ((C4 x C2) : C2)
Maximal quotients:GAP4(16,3) GAP4(40,9) GAP4(40,10)
Real polynomial:

x^80-160*x^78+12320*x^76-608000*x^74+21608000*x^72-589120512*x^70+1281735168\
0*x^68-228555202560*x^66+3404520204800*x^64-42964085964800*x^62+464257637484\
419*x^60-4330624602834280*x^58+35090796425425960*x^56-248173715628361600*x^5\
4+1537387831961391600*x^52-8363389973532432768*x^50+40020130217337916800*x^4\
8-168600240529779609600*x^46+625452773311310784000*x^44-20420325806728995840\
00*x^42+5860647665905196563721*x^40-14758126772736615977680*x^38+32523771663\
568747014160*x^36-62518600265833670851200*x^34+104388868672129912631200*x^32\
-150638398420720655165440*x^30+186724318542809479014400*x^28-197366079598538\
400972800*x^26+176342179895326972640000*x^24-131801552147346557440000*x^22+8\
1384411809476378319515*x^20-40897493068782211180600*x^18+1642454007329085727\
0200*x^16-5155629444063740896000*x^14+1230521718907470346000*x^12-2156303253\
49521033600*x^10+26492737822890352000*x^8-2140622922920704000*x^6+1032959931\
67840000*x^4-2521990045440000*x^2+21330588435025

Common denominator of the automorphisms:

1492218066764875

Complex polynomial:

x^80+76*x^60+15126*x^40-199*x^20+1

Common denominator of the automorphisms:

45768251

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