Group GAP4(96,40)

Name: ((C3 : C8) : C2) : C2
Maximal quotients:GAP4(32,7) GAP4(48,19)
Real polynomial:
x^96-2080*x^94+2055520*x^92-1285908000*x^90+572473067600*x^88-19330334164400\
0*x^86+51525715311966000*x^84-11141791922776220000*x^82+19933230326121339525\
00*x^80-299433464275926176100000*x^78+38200128085417915653450000*x^76-417599\
1236093324230642500000*x^74+393992421040047999602598375000*x^72-322662899214\
00002095028677500000*x^70+2304437768644013084624129801250000*x^68-1440690365\
02392819923423996987500000*x^66+7908240102287886273695931690071093750*x^64-3\
82062005275339111570333742124937500000*x^62+16275617384725582762036793777695\
656250000*x^60-612189369113308413499312122565455937500000*x^58+2035090718197\
5468551428809690533621328125000*x^56-598219335920708820563420378225107351562\
500000*x^54+15551722587331841711502284127651321086718750000*x^52-35747062841\
5934124887622908511247646695312500000*x^50+726091148938686952177931984730828\
8719276367187500*x^48-130202360735327603128366911294333280820429687500000*x^\
46+2058506173212987911073257247313689955854433593750000*x^44-286454512992749\
28442608652651500219778782617187500000*x^42+35012455278403337262700711456202\
6088252209814453125000*x^40-374942451102674150768931410937690237513909863281\
2500000*x^38+35075072994576851258775537784988873128716817871093750000*x^36-2\
85646273023173101363358063689715822909548540039062500000*x^34+20170781779183\
73921082889267454074909587428896636962890625*x^32-12293703790078048332339661\
265182465222256397851562500000000*x^30+6432842590943430674583140522828311201\
2384419152832031250000*x^28-287220337679566803918948699036704331293853014648\
437500000000*x^26+1086459893444521989876842106556302307604415389801025390625\
000*x^24-3452631132268177671410381086442940137985144965820312500000000*x^22+\
9126116376069958187790798164769060575992129315795898437500000*x^20-198234296\
91746524633495841385321198945271368530273437500000000*x^18+34863143263002285\
799686203157145997507631684236907958984375000*x^16-4871729954981015004137604\
9831227923408025640380859375000000000*x^14+527812913856016975577204293902933\
63016415524871826171875000000*x^12-42883346259178632004800913789690773544880\
433349609375000000000*x^10+2490618917713248724512401453130629183539414314270\
0195312500000*x^8-9594233376656388699252275925175012798973956298828125000000\
000*x^6+2142908339964050080504623712097536958728269958496093750000000*x^4-20\
1776943413102328214598484725478916116729736328125000000000*x^2+2089538936707\
4666489532222833727257996559143066406250000
Common denominator of the automorphisms:
4221791626264258559579427486901154189225700411388810376356014548015492033789\
4037649373425206186356781610491262647003555499788203366616796330914696152590\
5436345425211985392382619008849733109568061181087483065073043577329570737143\
1068418975968641404203272227167823686188668555706306140732193198397919208487\
783292881446316305565703661337046949811200000000000000000000000
Complex polynomial:
x^96+4392000*x^88+8598843562500*x^80+1873710534825000000*x^72+17918619157246\
5527343750*x^64-1791029362406741015625000000*x^56+78157161561610015631103515\
62500*x^48-2029386721213435396728515625000000*x^40+8647159868303712034463882\
4462890625*x^32+118135516262040180175781250000000000000*x^24+285609225733195\
51757812500000000000000000*x^16-16723651108500000000000000000000000000000*x^\
8+4304672100000000000000000000000000000000
Common denominator of the automorphisms:
1922986200299302221059638162560580019081080992881339274458890614000000000000\
00000000000000000000

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.