Group GAP4(96,82)

Name: (C12 x C4) : C2
Maximal quotients:GAP4(32,31) GAP4(48,36) GAP4(48,37)
Real polynomial:
x^96-1440*x^94+986040*x^92-427690800*x^90+132066782100*x^88-30935912526000*x\
^86+5719924305450000*x^84-857644957980180000*x^82+106326029008043156250*x^80\
-11057760943513247250000*x^78+975430802913986880225000*x^76-7361585249347225\
1558250000*x^74+4785652993805483439105000000*x^72-26942734271703823824300750\
0000*x^70+13192309681928716353403370625000*x^68-5636762468976605691598728187\
50000*x^66+21071161809766628931739762782421875*x^64-690455346883880481961171\
317843750000*x^62+19859358677468676677293695993140625000*x^60-50182880536589\
1630265529870018906250000*x^58+11145281231256435859510890256917656250000*x^5\
6-217560042188879279391532639997198437500000*x^54+37313343617470955438257523\
94922747265625000*x^52-56187232172557478376036302688650121093750000*x^50+742\
072665456482388642858757817584322753906250*x^48-8584179842644861596683510298\
724781660156250000*x^46+86829680354266660456154992496612212089843750000*x^44\
-766469054465207749860579464936072046679687500000*x^42+589091839995975516999\
8373480743329037622070312500*x^40-393185671074220060477640961580815366108398\
43750000*x^38+227222754850806853973285798523522110265380859375000*x^36-11331\
57544473472655759169372777838414064941406250000*x^34+48580734039321390028241\
25707770763173503570556640625*x^32-17827632620562194841224234165236840322534\
179687500000*x^30+55720932116340268988883866621059946080664062500000000*x^28\
-147477720351214181351199194358261251715087890625000000*x^26+328291300022945\
663636832547127572555399475097656250000*x^24-6096490689207354133974106122130\
35414792480468750000000*x^22+93516055994733949188112311254524543976074218750\
0000000*x^20-1170428946011999343703589803860620340307617187500000000*x^18+11\
76783716733637528147717904955179184091186523437500000*x^16-93141572090724067\
7960133341989521157470703125000000000*x^14+564750786455142135439231523958517\
564453125000000000000*x^12-2524906502677313532076414264943116772460937500000\
00000*x^10+78643969010457390073592146553489324340820312500000000*x^8-1557381\
0628814635013751419478595092773437500000000000*x^6+1660102180525616334056320\
639556909179687500000000000*x^4-66732207718018903796936159973632812500000000\
000000*x^2+870998973317200445476659061294555664062500000000
Common denominator of the automorphisms:
1440881303028156594955274005376671123384796654987607328883788181195088432200\
1543753462070918536197663944110447115168666598468131489649948056015433427656\
9580281113385340293209122880455902204003682830291441868433436107813426013165\
011999848185132115609239850000000000000000000000
Complex polynomial:
x^96+119880*x^84+186089436*x^72+155520709560*x^60+65369555971686*x^48+147578\
92683573240*x^36+6669294458012316*x^24+3381343357320*x^12+6561
Common denominator of the automorphisms:
2268033095947362398674009673484220750080000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Tue, 27 May 2014 19:57:28 +0200
Copyleft © 2002-2008 the PARI group.