Group GAP4(96,124)

Name: Q16 x S3
Maximal quotients:GAP4(32,41) GAP4(48,38)
Real polynomial:
x^96-1596*x^94+1102374*x^92-440734392*x^90+114937549965*x^88-20872882613016*\
x^86+2750223077538678*x^84-270390254863608936*x^82+20244152140535931300*x^80\
-1172429466708947489028*x^78+53191260721671954927570*x^76-191072987361434803\
4263764*x^74+54856329823489125023600319*x^72-1269299611437760145001872736*x^\
70+23851507014587930330017452528*x^68-366517068999376647509030077596*x^66+46\
34922232615258537183818273735*x^64-48511272279242663441107165182168*x^62+422\
391252000362926878536170091238*x^60-3073346781310104046916876838691092*x^58+\
18759036175047119829256738606400580*x^56-96362871674942462247834854028643656\
*x^54+417661013402982204990317148990314556*x^52-1530323842855379595922823818\
893090084*x^50+4746061735981841936737409916715743681*x^48-124662037324371338\
76440886273602961108*x^46+27730569480733595018421336825576081684*x^44-522021\
26199925853415532847379066926688*x^42+83043107084044426107458006813651246820\
*x^40-111397107005408220952692253906900437444*x^38+1256432291981536230143162\
77637244544722*x^36-118710438292300614437635687347290220744*x^34+93527272252\
388295004472428222446455655*x^32-61108351574725310973559812720274899492*x^30\
+32897435073398859675528311038703534592*x^28-1448306784108128236844356265762\
7898968*x^26+5169777248984529362079293517675411999*x^24-14818412102489715038\
37399866788599708*x^22+337423447115231456997022999550034870*x^20-60311869485\
412342898854222274150604*x^18+8350108008735461339100167731877220*x^16-882000\
279550227048580812694803552*x^14+69829306424455194140108178566322*x^12-40546\
02592915499165649177883968*x^10+167794631394348835317404252205*x^8-475090433\
4864679821859567104*x^6+86260149656213815993040946*x^4-891294938893172756567\
268*x^2+3909188328478827879681
Common denominator of the automorphisms:
1573340191178605881249870953719852004350782532241835938094134236825277451185\
3522519714286541569647178076891112189623188045386443205843497390564465557805\
903832077428976704687586236712500
Complex polynomial:
x^96+14400*x^90+145260000*x^84+714528000000*x^78+2582924188500000*x^72+73114\
33717800000000*x^66+16070226314332500000000*x^60+12874401614772000000000000*\
x^54+18070598257154449593750000000*x^48+8664396883857235575000000000000*x^42\
+14274776183610961319062500000000000*x^36-3523681256237916421500000000000000\
000*x^30-210986684508606343541929687500000000000*x^24+1106838918420162208433\
4375000000000000000*x^18+15233446324568051659642148437500000000000000*x^12+9\
35074310482343723062500000000000000000000*x^6+331259337223838534726806640625\
000000000000
Common denominator of the automorphisms:
3472713765912511250030321941722172302220174489406562901968668726881337928202\
72503130396836004139322248021306888468578125000000000000000000

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.