Group GAP4(84,13)

Name: C14 x S3
Maximal quotients:GAP4(12,4) GAP4(28,4) GAP4(42,3)
Real polynomial:
x^84-636*x^82+190668*x^80-35894208*x^78+4769094960*x^76-476531539968*x^74+37\
259272943808*x^72-2341942516382976*x^70+120645742474237440*x^68-516751217684\
9058816*x^66+186053579827951143936*x^64-5678832851672597016576*x^62+14791487\
1917489647566848*x^60-3304693397055694429618176*x^58+63583211247480009062940\
672*x^56-1056690429269634209389150208*x^54+15201511168612405760284164096*x^5\
2-189574175300736321030818365440*x^50+2050942381216055710415352233984*x^48-1\
9251478721251453965773976895488*x^46+156710900591879475633641723265024*x^44-\
1105043045331819691223900963733504*x^42+6738238426959212667474462665342976*x\
^40-35444189868797021844892069593612288*x^38+1603211530929470545785075412489\
99424*x^36-621050634054800601177561410392031232*x^34+20500534877016275997163\
54927758409728*x^32-5730670222091035389348040372899545088*x^30+1346261349128\
5672094069786267697020928*x^28-26330368936523560655829989065324756992*x^26+4\
2379073418863755245099794187564351488*x^24-553288239050303971257994165644574\
06464*x^22+57543097986605733729686260743357333504*x^20-465870386014524013866\
79909658707099648*x^18+28496064623347657559049307802170294272*x^16-126556864\
91410085412358173305962758144*x^14+3863120998276550485448725407970885632*x^1\
2-748349286825162681672477497345703936*x^10+81449163983191291692583089195712\
512*x^8-4158923982276665873653396358037504*x^6+74991665993742024147476391395\
328*x^4-481165250164774955675295940608*x^2+904055785305904442962345984
Common denominator of the automorphisms:
2230377998922675018380868546185331301517685483548055796605710931900371419415\
6624261229189815521159781125251234027248100416745535867455445928485965917574\
7059288858713972471897302523255567231662490750780864373854953302236903957244\
864917319777316075045102070095026027214809761579008
Complex polynomial:
x^84+78041952*x^72+485686451680128*x^60+11767478412675973248*x^48+3339950000\
6198179160064*x^36+2459597862909511918669824*x^24+3219054593494487040*x^12+7\
8364164096
Common denominator of the automorphisms:
6337222843483351015969372124465351832611081443421408315456254095760530112512

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.