Group GAP4(112,6)

Name: D112
Maximal quotients:GAP4(16,7) GAP4(56,5)
Real polynomial:
x^112-584*x^110+156116*x^108-25625456*x^106+2920325610*x^104-247464770048*x^\
102+16294551031056*x^100-859724610702848*x^98+37178791206606504*x^96-1340847\
100053342816*x^94+40882921542901190432*x^92-1065499418210546884288*x^90+2395\
0226925604444812384*x^88-467767966027564216914304*x^86+798723712932787478336\
3200*x^84-119853593940808510265233920*x^82+1587355643665437034484129008*x^80\
-18622600184794532448705836672*x^78+194115832123070820687235073408*x^76-1802\
266957930527592232587952896*x^74+14934667913021961643393645509984*x^72-11063\
4269512009715030991631768576*x^70+733560107110225475579610013250560*x^68-435\
7280601756522847286408654418432*x^66+23198946131010980432054386783668416*x^6\
4-110738178953696240809051601534388224*x^62+47388794855743957845031944882180\
5312*x^60-1817389854681959620585460626848788480*x^58+62421323148098223640963\
50966731467136*x^56-19183207280617267363973583791562342400*x^54+526834333922\
77806400435590872367809536*x^52-129097813584537297172881097230540275712*x^50\
+281736533646740192530206233674644807680*x^48-546369537640549652031108172144\
046813184*x^46+939139408252556550091189653135980100608*x^44-1426539258258885\
993003514569407465086976*x^42+1908399949507812793697593998952976244224*x^40-\
2239755475191936101467663100272346087424*x^38+229591996801639599378210161312\
8727980032*x^36-2045268926274855319864116013137641029632*x^34+15742930408030\
39009443676457217505436672*x^32-1040166212781261795869863714755049340928*x^3\
0+585471666140927109715787473501524029440*x^28-27826719177657579022945543875\
3349255168*x^26+110524655173202305459775931907887413248*x^24-362325259960602\
26168071377434100744192*x^22+9655592046110373218846478080797097984*x^20-2052\
087803359953384790854262475325440*x^18+339245113949817921864104931524734976*\
x^16-42160825253390482958360771384705024*x^14+374829577238669272909514643021\
8240*x^12-220482498904298020597356183420928*x^10+749074295226551739978402462\
1056*x^8-114441610485334404534362112000*x^6+839933820986778550722560000*x^4-\
2915454450264129536000000*x^2+3817153916934400000000
Common denominator of the automorphisms:
3370601031835612030977920226100891554458378454316982887347861773139998590407\
7805016436351002819369991827771281416924979107798434933342147092265499587913\
5036064814374264204175904516303515017924281596367913205214619976124339344816\
0445068606882684411295690895081196443571687306556069820445440078828733509631\
3706021009975111782285846228616251785248137583080435541595623674808765630784\
3436822147851588656573359989185017349384876181308246702176599748662890469014\
5053152251950660051068156472008933238296580078398136349999800163430922349334\
5491296620841437298583097055655629135063527657014152853040683741593498253464\
7438498291592468877283112002000000000000
Complex polynomial:
x^112+43416*x^104+52258716*x^96+258368616*x^88+494888937606*x^80+17002863281\
256*x^72+154382049997596*x^64+137879274818136*x^56+1365851841277761*x^48+136\
5375238347456*x^40+560463132714496*x^32+175559888388096*x^24+40532621459456*\
x^16+80631300096*x^8+4294967296
Common denominator of the automorphisms:
762252438892251852350245901320163392183626270931890937116370896158720000

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.