Group GAP4(112,43)

Name: C14 x C2 x C2 x C2
Maximal quotients:GAP4(16,14) GAP4(56,13)
Real polynomial:
x^112-324*x^110+48617*x^108-4494996*x^106+287535084*x^104-13552185576*x^102+\
489646948573*x^100-13937690927244*x^98+318937859084431*x^96-5959982697595788\
*x^94+92110397759446547*x^92-1189761705164847780*x^90+12958477292356932377*x\
^88-119917902418079756412*x^86+949029530407820271443*x^84-645915796920289106\
4708*x^82+37989558132292827455417*x^80-193880347080111421613652*x^78+8615966\
57859502914338960*x^76-3343893340582505124837792*x^74+1136156557805431737449\
1871*x^72-33862766455893585957594324*x^70+88671902619258694828445621*x^68-20\
4241998408060221139039468*x^66+414156596785002166164993171*x^64-739725927197\
766188152672188*x^62+1164024056034225528335956407*x^60-161368010069573339711\
6183580*x^58+1970182055837539238995624749*x^56-2117356658313539729919328224*\
x^54+2001460658829173898430754930*x^52-1662403647544811668203184800*x^50+121\
1820442235337588705026784*x^48-774160500241251273813672636*x^46+432703020358\
871595111946908*x^44-211191693164829481247336544*x^42+8981010386946413412680\
9981*x^40-33190960825791005117488860*x^38+10628458282570347195146625*x^36-29\
38847928875626274705112*x^34+698859082057798763120271*x^32-14225018018893038\
0872280*x^30+24645699097453421959882*x^28-3610554469067360737800*x^26+443717\
566353310160010*x^24-45309413814742541232*x^22+3799897718867115882*x^20-2580\
20740572608880*x^18+13935493872014658*x^16-585394125747768*x^14+185857628971\
56*x^12-429643212336*x^10+6881719989*x^8-71339436*x^6+431935*x^4-1260*x^2+1
Common denominator of the automorphisms:
3735892352809054411201238633895695907542280727158124179519136753747742255376\
8238808006027376388756113334023820233658703237705906403887352364781887871332\
1974998903545474459022083630996483504798395733415543521377742431121325260743\
6124188459107968299343029559518001531526108261543525959163472958057883601514\
11950072518668023
Complex polynomial:
x^112-79*x^108+3564*x^104-109643*x^100+2545903*x^96-46357093*x^92+681402809*\
x^88-8183245957*x^84+81090121049*x^80-663863226064*x^76+4494876948319*x^72-2\
5024611975571*x^68+114026323578099*x^64-419898129369777*x^60+123846143395626\
9*x^56-2862336535613614*x^52+5126837714902848*x^48-6845429432235828*x^44+677\
9722262616317*x^40-4601021707356327*x^36+2206808634730719*x^32-6183707886816\
86*x^28+118923141342282*x^24-9516658136838*x^20+545214185442*x^16-5888992668\
*x^12+53737269*x^8-7385*x^4+1
Common denominator of the automorphisms:
4975134269776336981287001026108097895956310728021030721523601790877100108240\
2063138406447221547604755809848850122156733039409151015805524179986302617613\
8669514318351313833859143

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.