Group GAP4(96,88)

Name: (C2 x C4 x S3) : C2
Maximal quotients:GAP4(32,25) GAP4(48,35) GAP4(48,38) GAP4(48,39)
Real polynomial:
x^96-552*x^94+144684*x^92-23993344*x^90+2830031430*x^88-253057545336*x^86+17\
854621133144*x^84-1021512282063720*x^82+48333920959855869*x^80-1919498776569\
180648*x^78+64712781402513490704*x^76-1868688780884719925928*x^74+4654932030\
8195739623522*x^72-1005983652932863647624672*x^70+18947604001589380303779396\
*x^68-312169741978369020861529112*x^66+4511863922821261675015298010*x^64-573\
35272096575038393572118376*x^62+641671394058427608519130829380*x^60-63318582\
63436860880336723652592*x^58+55128715465213257945828387271710*x^56-423608055\
195980254228726946260008*x^54+2872242425135777633585049967720320*x^52-171752\
49416071291597269740553011784*x^50+90487493127404899344994853613343525*x^48-\
419446469366229064181887280106419448*x^46+1707572342280946920821534011938786\
336*x^44-6091301600712454349780822857837000728*x^42+189875565326308790495120\
10860907263022*x^40-51548967639314504368068439107567406272*x^38+121412484463\
209725320359112904678435644*x^36-246945349229501079170751656361832919112*x^3\
4+431409702627007093074180784928749904634*x^32-64325924808028565823135041694\
8960572600*x^30+812586106521075125130864519504437401404*x^28-862086637123002\
567091224410143627371504*x^26+760242432916546941246915246689106147890*x^24-5\
50491178292083070447330311603644121176*x^22+32253654676385065505000627850086\
3298384*x^20-150233276306661434261929266811392920088*x^18+544491201385488466\
64903335431528635421*x^16-14956060290025174310725268966684988600*x^14+301334\
0864739274851958515924868365320*x^12-427396364519334241521911771616671400*x^\
10+40516524026112688184988225713304150*x^8-241111819281714330994413637509800\
0*x^6+84219953058813438655109732020500*x^4-1551115448852872917826496625000*x\
^2+11434422343438668568823400625
Common denominator of the automorphisms:
8802462499533284759066187099840215720646896615865558368768372070976660504752\
2561505357601524109754335137572609430796989991208976123979736275876930414838\
9000331548273276022373450076206100316460621386239432451786036797101461379036\
7523781884343694131200000
Complex polynomial:
x^96+88*x^90+3872*x^84-271240*x^78+10666940*x^72+52776152*x^66+127478496*x^6\
0+120821368*x^54+19723398*x^48-87127096*x^42+17803488*x^36-13280984*x^30+136\
73660*x^24-1808120*x^18+119072*x^12+488*x^6+1
Common denominator of the automorphisms:
32895744577685700542273362364000161749248

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.