Group GAP4(96,37)

Name: (C2 x (C3 : C8)) : C2
Maximal quotients:GAP4(32,5) GAP4(48,9) GAP4(48,10) GAP4(48,19)
Real polynomial:
x^96-960*x^94+436320*x^92-125119680*x^90+25453660176*x^88-3916047356352*x^86\
+474306529541616*x^84-46483388156941632*x^82+3759786303040827252*x^80-254742\
200271591283008*x^78+14624170520618061344592*x^76-717728977300055280067008*x\
^74+30328270910215779087572184*x^72-1109646587703849470037148608*x^70+353119\
74091755025767718075920*x^68-980840394012815276056273871424*x^66+23845492222\
366532309743047145974*x^64-508441124300548815209061221501376*x^62+9522142427\
386701945232007029667280*x^60-156778622736918964361972060348538432*x^58+2270\
288992270346147928258020858927688*x^56-2891356366609898031583758946088801491\
2*x^54+323700107967749814799394690118928766448*x^52-318285463307380116413756\
6174257797257664*x^50+27450922125300506414107056022032123258924*x^48-2073096\
72636622813941290766780614547014592*x^46+13679901083521483254905860626266117\
81358000*x^44-7867630789736322222973594969514200545807168*x^42+3931985957114\
0337250394594944074099015737352*x^40-170176348392833135006248475802901863459\
481920*x^38+635340657760197364733192304278745600019153584*x^36-2037056020316\
855818749919342122809665936017600*x^34+5580769058355552588935183435235764173\
140146049*x^32-12989095160406446084467644625692215813571006336*x^30+25514481\
396187035900544406902577069559575511312*x^28-4197477456600046033269249922143\
3481580093549568*x^26+57315571067649162235791407014518598968505173288*x^24-6\
4265171933781378605507547632634152206394870016*x^22+584043411070476859053739\
36074298993378322502624*x^20-42336194500502864003979909322025180005491153408\
*x^18+23989780092924343219670049659774577329671222104*x^16-10355912704076788\
212877119327273164328032245248*x^14+3292624655787544227487095797637868761730\
717632*x^12-736841298778756422715505581715621366975278080*x^10+1089080388758\
52591345858633448292353567759392*x^8-966010083824427907763955980002397067036\
0576*x^6+436041403306193122108125826463167284531072*x^4-68637330868701282937\
03507435157430770688*x^2+9654611044983716762598499520548901904
Common denominator of the automorphisms:
2231046688435837232364010014665612049344752771025027039212372062516078353665\
6780354781525175284456775128835393981949418679382705377192552386652450277363\
8185473316326054884893180466896848115134130977770853632953109802786117451230\
0655640906412101560799468950003781590926316199624541349825820492299882933865\
5836905651008751248904857377162202807050099956753044042314004273657099005742\
369508163584
Complex polynomial:
x^96-112224000*x^88+3782047239562500*x^80-33418926900621500000000*x^72+88684\
024201128002921777343750*x^64-38666041926615206676562500000000*x^56-17984465\
298494244320780639648437500*x^48+4473067698133236146499023437500000000*x^40+\
1643968063105226485328657627105712890625*x^32+811329687389543557812500000000\
00000000000*x^24+1110113755882397250000000000000000000000000*x^16+5343141888\
000000000000000000000000000000*x^8+6553600000000000000000000000000000000
Common denominator of the automorphisms:
5099552767557173450281724342654852465346623682122435549163730223301325061550\
5333243818457851494400000000000000000000000000000000

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.