Group GAP4(84,8)

Name: S3 x D14
Maximal quotients:GAP4(12,4) GAP4(28,3)
Real polynomial:

x^84-672*x^82+214188*x^80-43107320*x^78+6152824338*x^76-663173095944*x^74+56\
119495926292*x^72-3827251799833992*x^70+214267228118257743*x^68-998035469199\
6127928*x^66+390631550515043299056*x^64-12942623942271277949712*x^62+3649817\
38122301996148236*x^60-8794463374643039265215952*x^58+1815480527163800549605\
43496*x^56-3216025271014459622631901072*x^54+48922119975019301972348485167*x\
^52-639027046213673571273490675344*x^50+7161835872256090310436988041836*x^48\
-68770515030652140767769567487512*x^46+564640207941255505024278448490994*x^4\
4-3953676777132531714983218311916200*x^42+2353499461883981198259709619481853\
2*x^40-118655937431421465810911225999244648*x^38+504490618219870092510970351\
425262433*x^36-1799946632931226272474570896419318680*x^34+535871358293387260\
3140719303887394040*x^32-13226701096323095980099325348025819232*x^30+2686513\
0132440833025115977308598124560*x^28-44510182990321907373502513865063032320*\
x^26+59522363729761017289517002763484346880*x^24-634161878937950693288599447\
19720337408*x^22+52949199649722843590208681915993526272*x^20-339120680305667\
67444088041587201867776*x^18+16193922543217400162549741706167451648*x^16-555\
1229770181454299737824153128927232*x^14+130042896237006133885512820685222707\
2*x^12-196839377852942825103992156338520064*x^10+184729875448925424415338803\
20131072*x^8-1024503219273931591149056260308992*x^6+306750885579956222938792\
76961792*x^4-408017743834059924028375695360*x^2+1598520872047779065727287296

Common denominator of the automorphisms:

2410580717057322048362978363968991429893566774397297470658455217852424398290\
6249984046970440192751881981116576660301890293919718296766579057159930361695\
3554447019402565546786864616887430081014512643290929404327024341252515327330\
6293385275850757316404051960039875494436359581313436187982338981888

Complex polynomial:

x^84-2511288*x^72+122347716379920*x^60+134498348812210987008*x^48+6853920444\
308787601342464*x^36+146412304557875942864757719040*x^24+1495951557971066447\
019537063739392*x^12+6229703979361158797296971448326291456

Common denominator of the automorphisms:

986062052405429974497260761717865211665594443503301744089264190417300094976

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.