Group GAP4(80,30)

Name: C4 x (C5 : C4)
Maximal quotients:GAP4(16,2) GAP4(40,12)
Real polynomial:
x^80-240*x^78+27080*x^76-1913400*x^74+95135880*x^72-3546104056*x^70+10307642\
2040*x^68-2399645166000*x^66+45598595104640*x^64-717178623327360*x^62+943438\
1481265064*x^60-104626436380470080*x^58+984009701124973440*x^56-788329488669\
3355680*x^54+53968494074602277600*x^52-316379128612576370752*x^50+1590072255\
423420728320*x^48-6853453929583036104320*x^46+25321486418128864868160*x^44-8\
0100475879596467424000*x^42+216524212844941773275824*x^40-498813271323720700\
775040*x^38+975946303306749332852160*x^36-1614746031951696444254080*x^34+224\
7549380152309699119040*x^32-2615349197227650663755264*x^30+25254417778120723\
72236800*x^28-2005817304381525151910400*x^26+1296597415912506903793920*x^24-\
673536700599996056542720*x^22+276855401984328950036096*x^20-8835342024032936\
0409600*x^18+21377583986069397977600*x^16-3805094551383138309120*x^14+479163\
508629297013760*x^12-40517148931324118528*x^10+2136580462067258880*x^8-62728\
297135319040*x^6+849024663403520*x^4-4122635212800*x^2+7311616
Common denominator of the automorphisms:
4023634637602663992769843122394160792648298328009503452544218058719683668634\
8633459547252162183296906260115966741255027867432710048373417967347714048
Complex polynomial:
x^80+1105325*x^70+44274635045*x^60+310037041603250*x^50+78682558421247850*x^\
40+1550185208016250*x^30+1106865876125*x^20+138165625*x^10+625
Common denominator of the automorphisms:
1239246839632081557603921291538776000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
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