Group GAP4(80,48)

Name: C5 x ((C4 x C2) : C2)
Maximal quotients:GAP4(16,13) GAP4(40,14)
Real polynomial:

x^80-240*x^78+26640*x^76-1821600*x^74+86255100*x^72-3015262260*x^70+81029710\
800*x^68-1721310596100*x^66+29499390263250*x^64-414197647524000*x^62+4822245\
317064060*x^60-46994160208452300*x^58+386236414347396300*x^56-26932055865133\
90500*x^54+16008059478898579500*x^52-81404796206680743600*x^50+3551422298042\
37288375*x^48-1331845030151364073500*x^46+4298904307918262115000*x^44-119506\
00349030107342500*x^42+28612963925676806083875*x^40-58970762861899249291500*\
x^38+104500179386960014840500*x^36-158944867229300647500000*x^34+20700798185\
8795462605000*x^32-230139740974943129611500*x^30+217552368837100221945000*x^\
28-174021978852235848712500*x^26+117094800961718980903125*x^24-6579894491076\
8105325000*x^22+30605901823964707911000*x^20-11656937444052765712500*x^18+35\
87060777062633486875*x^16-877012950886149487500*x^14+166793421500234775000*x\
^12-24005802589941352500*x^10+2519985045523696875*x^8-183128822394187500*x^6\
+8499036977437500*x^4-217924025062500*x^2+2179240250625

Common denominator of the automorphisms:

4916516080917875894572317765571951746981662708116743677768065239022253461631\
06734238638479375

Complex polynomial:

x^80+1799*x^72+724801*x^64+59159702*x^56+1521048690*x^48+12264349181*x^40+26\
409295448*x^32+17138579479*x^24+544076654*x^16+162533*x^8+1

Common denominator of the automorphisms:

539827082329903719528705852998538466304541

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