Group GAP4(80,14)

Name: (C20 x C2) : C2
Maximal quotients:GAP4(16,3) GAP4(40,5) GAP4(40,6) GAP4(40,8)
Real polynomial:
x^80-256*x^78+30836*x^76-2327532*x^74+123702194*x^72-4931397680*x^70+1533919\
57606*x^68-3823560157380*x^66+77845366868647*x^64-1312795054606216*x^62+1853\
3560892578016*x^60-220812597090805284*x^58+2233916140216221983*x^56-19280057\
762756544632*x^54+142440808417309071364*x^52-902985762878409553212*x^50+4919\
165995005981412411*x^48-23044011454794006859348*x^46+92821246513052648820986\
*x^44-321230466243919985288196*x^42+953720631171930877374149*x^40-2423892474\
144216526876928*x^38+5258191379687142896622916*x^36-970087016378098960016961\
6*x^34+15153547898197230686398612*x^32-19936858030804224909827968*x^30+21955\
565413955065371347072*x^28-20092708821306937189642368*x^26+15152892769166310\
429592736*x^24-9325953559594341309553664*x^22+4631491628311983344541568*x^20\
-1831543096005532452521472*x^18+567690733479983949708160*x^16-13526751077804\
3786318848*x^14+24174360681774065968640*x^12-3134868196036415763456*x^10+281\
250808591260139776*x^8-16195667124917846016*x^6+523605634606752768*x^4-70922\
03794550784*x^2+15542770074624
Common denominator of the automorphisms:
2076661153027219672528925131631617174389552976504496216290078382803655772924\
5960694618344979400636640027698217853441629210896454800228557114490925843742\
72
Complex polynomial:
x^80+132624054*x^60+1865886423291531*x^40+6178843523378911773654*x^20+121576\
65459056928801
Common denominator of the automorphisms:
7678816308094521388283576249400

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.