Group GAP4(96,198)

Name: C2 x C2 x SL(2,3)
Maximal quotients:GAP4(48,32) GAP4(48,49)
Real polynomial:

x^96-384*x^94+70104*x^92-8108672*x^90+668102388*x^88-41797862784*x^86+206671\
0765800*x^84-83001943529088*x^82+2761431808734306*x^80-77236463969343104*x^7\
8+1836864173116341960*x^76-37476239066784009600*x^74+660568862468831889380*x\
^72-10115900715079826835072*x^70+135196528759716174485880*x^68-1582525929435\
494704815488*x^66+16269572882893122522240783*x^64-14722186372715544044729932\
8*x^62+1174416239911638517527220976*x^60-8267755377687509032829106432*x^58+5\
1396239254025598023287796712*x^56-282182795005198188475733563136*x^54+136800\
5264250743468571537237648*x^52-5852442415282760187480655020288*x^50+22072259\
457669351884389279465436*x^48-73285444468134479257366026865920*x^46+21383510\
1317327532725322948213264*x^44-547115061550807736588322809936640*x^42+122425\
0120766289961346704843948392*x^40-2388322886991049160726849971838208*x^38+40\
47132107377341754503821744056432*x^36-5931438794080392772227934404864768*x^3\
4+7480686634437808041501318127300911*x^32-8071059076802030827765157629831040\
*x^30+7398190469248137770282246809249464*x^28-571476056931167198480531032876\
7616*x^26+3684577614491819687935878675243812*x^24-19605377665289079415316964\
88008576*x^22+849441299169904169658966411036936*x^20-29495558756878976205705\
5781585024*x^18+80550124568347602620311507891170*x^16-1691860344167174378980\
4069573760*x^14+2660909672550118130753079065512*x^12-30314679218614921042939\
5992448*x^10+23937802467146515342170482868*x^8-1227284718168817482865128576*\
x^6+36444619991079830518803864*x^4-479289846481940248371072*x^2+366312550281\
861502881

Common denominator of the automorphisms:

1220672805485900793135446383071702637908239072560270528752239086093964700289\
1299236511344643824594251909381734141171658927279532558403175955375513766290\
45742930890892247040

Complex polynomial:

x^96+32790*x^88+350136367*x^80+1345966624038*x^72+1702771383570107*x^64+3670\
33911978623268*x^56+10261465938785373834*x^48+44804248916916869412*x^40+6074\
5777506516345083*x^32+19857021914175222918*x^24+351172718236877327*x^16+1182\
93064486006*x^8+1

Common denominator of the automorphisms:

2043719079664872705979923846151786336607396903682062351040516415539759752494\
336812109899728016337336652377980570718145871872

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.