Group GAP4(80,33)

Name: (C5 : C8) : C2
Maximal quotients:GAP4(16,6) GAP4(40,12)
Real polynomial:
x^80-600*x^78+142200*x^76-18491400*x^74+1514743920*x^72-84539127600*x^70+338\
6238598800*x^68-101081339726400*x^66+2313519489434160*x^64-41501743419412800\
*x^62+593629145853885000*x^60-6862862675533464000*x^58+64817919686378527200*\
x^56-504393911398480543200*x^54+3255568742329457140800*x^52-1751910337329277\
8564000*x^50+78907828347320351652000*x^48-298313085610831996512000*x^46+9483\
59551824700178976000*x^44-2537794800853445579126400*x^42+5717748691048420493\
740080*x^40-10841344069421600823456000*x^38+17281025401569296216112000*x^36-\
23120075129072126350665600*x^34+25908645304296308956262400*x^32-242584772787\
59348467440000*x^30+18924224497872306141744000*x^28-122610764469985754762880\
00*x^26+6574165897928752574553600*x^24-2905148677813951440384000*x^22+105292\
2003258485239632000*x^20-311123407548289207680000*x^18+743880493436964298560\
00*x^16-14251329361381474944000*x^14+2159352194419685376000*x^12-25417945429\
5902400000*x^10+22660143818148288000*x^8-1472817730982400000*x^6+65607335289\
216000*x^4-1785233613312000*x^2+22315420166400
Common denominator of the automorphisms:
1707100995972873401647833906119238152740045185021033735737091265199049991011\
9837873752387387064007872019312331228914654034421418827853754383461393116260\
1563995430889296809335847797314560
Complex polynomial:
x^80+996183060*x^64+5993287227085638*x^48+8845309595873088916068*x^32+642470\
54100493096865155905*x^16+98121766650895978383376
Common denominator of the automorphisms:
2180305152893307655813138575016557569701316903128850610216405031428949119046\
11893248

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.