Group GAP4(96,65)

Name: A4 : C8
Maximal quotients:GAP4(24,1) GAP4(48,30)
Real polynomial:
x^96-368*x^94+64096*x^92-7039776*x^90+548099360*x^88-32243147776*x^86+149174\
8658384*x^84-55787212036128*x^82+1720137189347316*x^80-44387063962082336*x^7\
8+969666932829502384*x^76-18097172102199789152*x^74+290653370644917837528*x^\
72-4040678441359541247968*x^70+48853083420199336937200*x^68-5156174732226015\
89742368*x^66+4764957636606706343869302*x^64-38644680189286656867499328*x^62\
+275526701644810786662111152*x^60-1728985825037217162305558560*x^58+95558373\
06024186685433281960*x^56-46525413954056748198153591264*x^54+199507064394997\
912372632699280*x^52-752987906992160777681674756832*x^50+2498670354487862958\
824608644012*x^48-7278860300845042225436370375968*x^46+185780924877202796531\
37048323152*x^44-41444906736687574079978139773728*x^42+805766702381828087634\
92783235400*x^40-136057174618632006643778541867040*x^38+19872917279114186307\
5897041934672*x^36-249921664370511127260524918538848*x^34+269157398632202183\
539557318109185*x^32-246697603156627805419912547286096*x^30+1910534615011745\
35140242802700464*x^28-123980808688879992585321341659712*x^26+66764410176481\
715625373815531320*x^24-29496982001572146804241478933664*x^22+10548443059752\
107995681632170976*x^20-3004231380378297894260292903808*x^18+668013340069391\
119359273433944*x^16-113104149358317067253611373504*x^14+1411162684234821722\
9686195520*x^12-1239890535267869419891595520*x^10+71722928573413781506600544\
*x^8-2450138619171422274962816*x^6+40925989646535360910720*x^4-2570497589532\
59842560*x^2+274081704995409424
Common denominator of the automorphisms:
1763570942640701415042353418881909024038788416329695467522937623765398917063\
6769990250442611025285988979824629032820622232897761856957242950733189414810\
2890026952564262008676014686834149287346142494504657502294740663645375574821\
2422171847602408002568131405176362066888643111393311471753319340100088504271\
467093245686710272
Complex polynomial:
x^96+32*x^94+1168*x^92+29504*x^90+646744*x^88+10920640*x^86+146113888*x^84+1\
334399616*x^82+2946506376*x^80-145303166080*x^78-2178841871936*x^76+12764582\
539008*x^74+1128372869430240*x^72+25891674175513856*x^70+365644213415108224*\
x^68+3151701374950075904*x^66+6755555704884309744*x^64-231600983813698677760\
*x^62-2986591817094232614400*x^60+4164497615066932463616*x^58+64013802764417\
8532150016*x^56+10879052497383893062400000*x^54+106769919622528279594802176*\
x^52+645158939336749235075944448*x^50+1771333923480566787497654016*x^48-3253\
142930418980327688146944*x^46+43025885664190540116921071616*x^44+22074545168\
54896637072976568320*x^42+31834553305726976061257995824128*x^40+285402585726\
762254781794129321984*x^38+1827614106927388440876559476314112*x^36+880959805\
4995316752087886845165568*x^34+34436242746456193843930988563689216*x^32+1394\
03147769432577093475636906598400*x^30+790295656946082503966303304838860800*x\
^28+5052564685167893172819646263967105024*x^26+26387843728432867396088587888\
778737664*x^24+101094100910692005505900769722108854272*x^22+2780591318009407\
99514061755844318650368*x^20+579305686762204275342826520609274757120*x^18+11\
82121700297011693420191285591965861888*x^16+28220374271006754781244808275458\
24886784*x^14+5461122976354936078700751716338012962816*x^12+6350545008188241\
181029760808213823029248*x^10+5542049156764122986310729446476339568640*x^8+3\
586505391847060121850747307814272696320*x^6+15580293195886051496670519544135\
54663424*x^4+398869788769895087382697426439449739264*x^2+4518096147316980628\
3308481404716191744
Common denominator of the automorphisms:
3503794851624169324789892348660948598883200776554625670421239025076245430183\
2576359212151664681169122748341523892847051033099937870917589704781662754227\
2606761397675615227102750497937815103370661534908263648773529502823948135331\
0955385881051506728756901441700414147716956368436406381269039697938670892373\
3288066439088088397702469948713453621782253155630185037251834935730096857636\
3726394758066783658432266240

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.