Group GAP4(96,222)

Name: C2 x C6 x Q8
Maximal quotients:GAP4(32,47) GAP4(48,46) GAP4(48,52)
Real polynomial:

x^96-1512*x^94+913752*x^92-311296608*x^90+68922405594*x^88-10718999348652*x^\
86+1230112109163168*x^84-107800074733013460*x^82+7399717441072551189*x^80-40\
5755683277066825472*x^78+18052756559758115776476*x^76-6599805095848161883986\
72*x^74+20031481754465521205999574*x^72-509090019475192233763771296*x^70+109\
10793959467660577201014188*x^68-198368350295501784448575779940*x^66+30746815\
98604135562942059758066*x^64-40799073093409792957664392640676*x^62+465093604\
283737069090451374831836*x^60-4568103571175637090068845076999940*x^58+387508\
87357876961119952251715623977*x^56-284461841171332523783562442118603820*x^54\
+1809787899270126073649143862182059324*x^52-99904791927249019623997464841781\
74728*x^50+47888280278053087934678607918043644591*x^48-199399665146672147368\
216870413146343816*x^46+721237916433639942548827337390375630700*x^44-2265344\
823780976637052164421220992346728*x^42+6173979166700059229503508398998056771\
988*x^40-14583683206351672992904469599773392846940*x^38+29809061882184549642\
960815654445541160748*x^36-52615438937451481937709178152462709308672*x^34+79\
991615480173715989187623961677024974450*x^32-1044185297469845801225819243151\
56824912932*x^30+116591898276920157555445478120303744107176*x^28-11085378093\
4656807228513062280947093527068*x^26+892645253532584165530015462083450887461\
71*x^24-60485839857069288359124914196133285897056*x^22+342228643967431012557\
56440015124196468192*x^20-16017842178149974372529291765465683609536*x^18+613\
1136587040092385501765397643491015050*x^16-189203795162308063529486268645511\
6453908*x^14+462249153344909923490171848387670955540*x^12-873014196431219381\
24284003358101394628*x^10+12337434474538056322589118199470157317*x^8-1244797\
752382282421196775134150622320*x^6+83326625500999779560986313624836740*x^4-3\
246491902636355047830635595772860*x^2+54108198377272584130510593262881

Common denominator of the automorphisms:

3159324434244987153319428360823254649334349082390621382975324452824757705877\
881141900688582322975361524707590722323512280150846982926355022896

Complex polynomial:

x^96-6259680*x^84+13056486484608*x^72+29491957708738560*x^60+215880592828032\
73728*x^48-1375976778858906255360*x^36+28421129149917430284288*x^24+63573282\
9558150266880*x^12+4738381338321616896

Common denominator of the automorphisms:

3179667852709602921018062141366045100736512

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.