Group GAP4(90,3)

Name: D90
Maximal quotients:GAP4(18,1) GAP4(30,3)
Real polynomial:

x^90-558*x^88+144963*x^86-23427819*x^84+2654813961*x^82-225352297773*x^80+14\
943580935120*x^78-796910762763684*x^76+34907090572541961*x^74-12762089186131\
92789*x^72+39431363642866066131*x^70-1039820295759647681673*x^68+23589010335\
941738549055*x^66-463315254458336326795320*x^64+7919781206944705385971158*x^\
62-118315534188343505135856354*x^60+1549962700880066394252845130*x^58-178524\
31071126882887891722035*x^56+181150493407394576078416514787*x^54-16216881526\
84573356990450186375*x^52+12819444675039699570949250031129*x^50-895187854676\
04474683303919231921*x^48+552151484130237361606238106913623*x^46-30063911631\
72656827424657977049103*x^44+14434587336365331305191671745808343*x^42-610153\
51514406210502652524679469180*x^40+226577003824803570839089174394437626*x^38\
-737127815148359701568453752126715088*x^36+209384218733192782698134549127893\
6187*x^34-5171588254918892436655194599371071786*x^32+11051541786463639884721\
244942135651655*x^30-20312216689856903637892349222073115656*x^28+31881834637\
989281901425980903590481248*x^26-42373484335482456382169562264912288408*x^24\
+47204463064222163455208970608964922569*x^22-4353648356936167437329363554529\
2930881*x^20+32745432817847438076960011012182273899*x^18-1971208765282891217\
4597801580716303585*x^16+9274232239443876543650334357918959754*x^14-33064045\
62530108371855215748099386003*x^12+856781345608662268791244593786897486*x^10\
-152136305820810086277052051853760531*x^8+1692445605236073901881540682811113\
5*x^6-1009703229710814576463190627678724*x^4+2255054898638854510481406923003\
7*x^2-35926870632628341560495678289

Common denominator of the automorphisms:

6601186692780589940989645804789309856111147150467357685342487795430107503974\
4490810707963063719245562464285754239508994984793832051522761372260338784436\
6281958672735574269317342553878473575752222204642305273827446346899886704300\
6778119407415437232680666937449651325904232370985218434917527783189543676181\
9750867811501220803836481330579393210294805525511797571086977359270178144593\
2620839358203167618209951470771239871670096775459427908117716643626638171511\
2153532570974300940671263107963903807235301366582916148137069200208337369783\
0505806

Complex polynomial:

x^90+18900*x^84+324595890*x^78-3411276227100*x^72-29693747091654945*x^66+117\
32525067306807144*x^60+3148557263071482659903100*x^54+4546721443214809418495\
0760*x^48+207206811950927716157977935*x^42+1402153153288797269005678980*x^36\
+5436341724234750676340751090*x^30+14728906949118800366470446900*x^24+328391\
25934891144235268442545*x^18+53397838994306645211964292160*x^12+134561641679\
383275965952000*x^6+118039224225889612726272

Common denominator of the automorphisms:

9268004345393867070226783411383008743187724408624138765872734432792233486156\
01922660349260109879312516697232322373305237504000

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.