Group GAP4(96,104)
Name: (C3 x (C4 : C4)) : C2
Maximal quotients:GAP4(32,29) GAP4(48,36) GAP4(48,39) GAP4(48,40)
Real polynomial:
x^96-672*x^94+213816*x^92-42939616*x^90+6120982644*x^88-660313351968*x^86+56\
119987407752*x^84-3862394173870176*x^82+219571959565765218*x^80-104647716463\
90408800*x^78+422940457629973668840*x^76-14625665371983245668896*x^74+435837\
142149792969922916*x^72-11255556551038139876199648*x^70+25305176345970894847\
4203224*x^68-4970630805754894445692055456*x^66+85544963630236997704818106383\
*x^64-1292674771676268691318915111488*x^62+17178035989399211241081209635504*\
x^60-200954588983393074725254496403648*x^58+20706461359442135976242100051494\
16*x^56-18795181536574251655282792740565824*x^54+150239042257389262947933155\
364505296*x^52-1056805272850151848758811712299743168*x^50+653400987059095619\
2582445127361392604*x^48-35452410139620310107085050899934548160*x^46+1684629\
49849914799628594363259214485072*x^44-69928998527170286247940573447514955782\
4*x^42+2528011510319425126610050341800080150632*x^40-79304031825450354889958\
23318573284921792*x^38+21495901129428412001781519315993367782448*x^36-500957\
56034521315683845202196434646259520*x^34+99798238474581424914662326188109663\
354671*x^32-168816831169099731029794479017238445017376*x^30+2406116843916835\
45758618231768331868976024*x^28-286372345639231833162391828782548322241632*x\
^26+281666356281298077261808677018470523274916*x^24-226173924676236761862320\
788656214285544352*x^22+146154952068674763921008388479635096825896*x^20-7470\
6411365022922374309178773892555291104*x^18+295702564391881802037315018408922\
53451746*x^16-8821250806077454457079133112462556852960*x^14+1912307772825568\
859753431461369062755400*x^12-285865568812392177753171418649314692000*x^10+2\
7132011481039846474280301631054952500*x^8-1412503553901894278977083771719900\
000*x^6+30028638063082853674040533612875000*x^4-2149334539244384249729639925\
00000*x^2+14206785780678585397875390625
Common denominator of the automorphisms:
1837687938918495704716599087402186900236290496668595631389582917996037833953\
0721332639826411582152437686902385454966714116734862423233419243663080274506\
5879031992131397193448955186931618282646517221315950428899521766255749926769\
2154031791846574022474310503148049822244186461092914041928799201585696520884\
17057256306114560000000000
Complex polynomial:
x^96+4177180*x^72+28422*x^48+28*x^24+1
Common denominator of the automorphisms:
609677376
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.