Group GAP4(96,111)

Name: (C24 x C2) : C2
Maximal quotients:GAP4(32,42) GAP4(48,36)
Real polynomial:
x^96-240*x^94+27288*x^92-1957920*x^90+99632004*x^88-3831456960*x^86+11586511\
4976*x^84-2830811129280*x^82+56974180489488*x^80-958402079773920*x^78+136249\
38542116656*x^76-165114447070366080*x^74+1717291888004972904*x^72-1541113869\
4601159520*x^70+119835083546835178752*x^68-810052714979815222080*x^66+477204\
5312538391802484*x^64-24544241093094933670560*x^62+110353783528246013367840*\
x^60-434041536841481366317440*x^58+1493798026569200578740240*x^56-4497704287\
510914847575360*x^54+11840585351424764571787392*x^52-27227870152896438750571\
200*x^50+54616160989562760526443480*x^48-95397828044720861179284480*x^46+144\
790174148655634454337120*x^44-190466957555498819401280640*x^42+2165148709743\
77806759351776*x^40-211954992749957154653654400*x^38+17797330110093213314381\
2992*x^36-127591302233165950453633920*x^34+77683287798797371796619216*x^32-3\
9919338266807728048573440*x^30+17188519238549187510499776*x^28-6148572613490\
334248605440*x^26+1808645440229611099948512*x^24-432126881116165232951040*x^\
22+82595918909445632447616*x^20-12392090653290922644480*x^18+142428397995717\
6632976*x^16-121448186606330547840*x^14+7355264542674766848*x^12-29753673202\
3645440*x^10+7349050952040384*x^8-97035725779200*x^6+577456646400*x^4-128304\
0000*x^2+810000
Common denominator of the automorphisms:
3284251424848108895902997299746358949883360322871420747390254840256698237413\
5926981934470953453271531288382828125232645279976478469626134912789643070573\
0783117298383588712575195949659515928001326617489005469258460059594371651194\
18134112340000
Complex polynomial:
x^96+165118824*x^72+10082941558866*x^48+1083344604264*x^24+43046721
Common denominator of the automorphisms:
611262468960029964000

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.