Group GAP4(104,8)

Name: (C26 x C2) : C2
Maximal quotients:GAP4(8,3) GAP4(52,4)
Real polynomial:
x^104-648*x^102+198280*x^100-38206302*x^98+5215663844*x^96-538001466116*x^94\
+43670069042157*x^92-2868119608311284*x^90+155521218633809452*x^88-706928812\
7486966748*x^86+272579614882914691118*x^84-8999559422711626071336*x^82+25635\
9899022182700803214*x^80-6339682005396802862900484*x^78+13680036954929805572\
4340340*x^76-2586681601148694981731839762*x^74+43008701441380200237083322422\
*x^72-630650268758555850381519336996*x^70+8174837724603438986161506650540*x^\
68-93858765802586945764976264303708*x^66+955987280283330500697356425518173*x\
^64-8648356161229424660657157258937368*x^62+69550476424459058483750293087883\
790*x^60-497507326076586863019904691596346466*x^58+3166297593984139616572803\
917502434425*x^56-17928836216283256732618135814380200878*x^54+90296634838259\
410936122443351885658589*x^52-404254854416869105715447011192727265916*x^50+1\
607380536493557777599802086387512019812*x^48-5669466323110274280601065344541\
614524784*x^46+17711793024958984388759235504028193709856*x^44-48917330516443\
318086390401852002036303040*x^42+119167731506375788653640625501198650030016*\
x^40-255377340707010657375663218989497442783488*x^38+47991193379147400336525\
6193244336635439104*x^36-787942006759368856332870029294883798010880*x^34+112\
5427065923801900921541407227262976986112*x^32-139144996131555009347675843149\
9896067137536*x^30+1480583207196260672329959040823442583855104*x^28-13467611\
83894978325352793612400745758490624*x^26+10390347302525773684582427530990702\
98308608*x^24-673676824227978288111619993501885924179968*x^22+36310843167248\
3061422857925941344783695872*x^20-160610774993280679171553705877733804081152\
*x^18+57403516224354550691411512866787433906176*x^16-16269471878819114977756\
220687814621134848*x^14+3573321788293789408189505823668240908288*x^12-590942\
333701722031927816700752696442880*x^10+7092177883063098334526851761210759577\
6*x^8-5877501426162584362253472150023307264*x^6+3125192370161302789905895599\
35336448*x^4-9391162810696113852233493266825216*x^2+118690141416276377060665\
924255744
Common denominator of the automorphisms:
2784225302162415041407132674544370546326914007279314865416243530707523357907\
8591887271196073209638760426193120584610671626729277287517279615295020032190\
8193002053187636110264354455648908362119453039549148722277880852412487485959\
8793560902413170755271977440287795772772075419623054497734620110381514846572\
0616313975086399176094831321476688703779085527584934620537178581886825529929\
6402051808911058316239948096465295831611465652596283674057049794977663976691\
5468594399401722438734215491185969342023854424756351755310585776653797505232\
0222530279217647801562316849157775139412581636861730299703534668052755427340\
40691862558435648868907709302146854086388091432001541941785264128
Complex polynomial:
x^104+26*x^100+1417*x^96+25896*x^92+803088*x^88+10556520*x^84+247556348*x^80\
-356445393512*x^76+35194231612124*x^72-973140281973288*x^68+2771430256220184\
0*x^64-657164172740917608*x^60+12617312109740581542*x^56-1992082385724633070\
44*x^52+4170747760012526326998*x^48-39313798873765562159208*x^44+91046346858\
4673823646320*x^40-6509724398859579592362408*x^36+11293994049642873814765535\
6*x^32-685519329661382929297223912*x^28+6039762633324064482604822172*x^24-17\
621955180889121547417555480*x^20+27287296018725223825714096272*x^16-60686675\
47819174969086747864*x^12+1941366790072535671350853153*x^8+47568078771359365\
466*x^4+169
Common denominator of the automorphisms:
8953779969667406068921714471094787024429499134893854653566373454021743854709\
87265051244006619308606780183771404352191623578932415692800000000000

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.