Group GAP4(64,128)

Name: (C2 x C2 x D8) : C2
Maximal quotients:GAP4(32,27) GAP4(32,39) GAP4(32,43)
Real polynomial:
x^64-672*x^62+208656*x^60-39854752*x^58+5259333240*x^56-510485808672*x^54+37\
883618894128*x^52-2205765506169120*x^50+102601345650981660*x^48-386236365781\
9188256*x^46+118771848385222630416*x^44-3003446160405548313120*x^42+62739362\
066718587332936*x^40-1085634398203837571373984*x^38+155811646238207675144375\
52*x^36-185453027474979672713128096*x^34+1827870473077569427168352838*x^32-1\
4876341877279751926414549472*x^30+99541219136287325287537211824*x^28-5443164\
08196134301901398255072*x^26+2413015250818473105678746526024*x^24-8581793233\
091218905185664919648*x^22+24154015461679439731702447353360*x^20-52854191443\
375899711561824666976*x^18+87840659483123141592227407215388*x^16-10747355005\
6146492661753004394336*x^14+92818120321083794007348669610800*x^12-5346863847\
5674503598079947818336*x^10+19111583510188157497021885589112*x^8-39173845678\
76594776537307323872*x^6+406941383868846128411438713104*x^4-1623798598084931\
4899898032352*x^2+128721688413886561555017729
Common denominator of the automorphisms:
3649845767214449832220532317724486723543866539508512099244102465662522564280\
32
Complex polynomial:
x^64+40*x^56+19420*x^48+384280*x^40+200902*x^32+772120*x^24+169948*x^16+3880\
*x^8+1
Common denominator of the automorphisms:
88312283136

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.