Group GAP4(114,6)

Name: C114
Maximal quotients:GAP4(6,2) GAP4(38,2) GAP4(57,2)
Real polynomial:
x^114+x^113-113*x^112-112*x^111+6216*x^110+6105*x^109-221815*x^108-215820*x^\
107+5773185*x^106+5563251*x^105-116828271*x^104-111469176*x^103+1913554188*x\
^102+1807245622*x^101-26075972546*x^100-24370067800*x^99+301579589025*x^98+2\
78818865325*x^97-3005047770725*x^96-2747472247520*x^95+26100986351440*x^94+2\
3591276125340*x^93-199453516332420*x^92-178152655364880*x^91+135099096985034\
0*x^90+1192050855750300*x^89-8160963550905900*x^88-7110542499799200*x^87+441\
86942677323600*x^86+38000770702498296*x^85-215337700647490344*x^84-182710776\
306961504*x^83+947812152092362802*x^82+793067310934426018*x^81-3778732481511\
088674*x^80-3116480397122547360*x^79+13677886187371180080*x^78+1111328252723\
9083815*x^77-45038039715653129145*x^76-36030431772522503316*x^75+13511411914\
6959387435*x^74+106366434222074411385*x^73-369749985629115811005*x^72-286258\
053390283208520*x^71+923832808668641263860*x^70+702916267465270526850*x^69-2\
108748802395811580550*x^68-1575768335856210851400*x^67+439901993759858862682\
5*x^66+3225947954238964993005*x^65-8387464681021308981813*x^64-6031435276240\
042413888*x^63+14614631630889333541344*x^62+10296672285399303176856*x^61-232\
62852200346573844008*x^60-16043346345066602651040*x^59+338056226556760555861\
20*x^58+22799140860804781674360*x^57-44812104450547329497880*x^56-2952326881\
4478240610368*x^55+54125992826543441119008*x^54+34795281102777926433648*x^53\
-59488706401523551644624*x^52-37270032926255719102656*x^51+59399114976220052\
319858*x^50+36218972546475641658450*x^49-53779686508403225492850*x^48-318694\
43856831541032800*x^47+44054819449149483192400*x^46+25331521183260952835630*\
x^45-32569098664192653645810*x^44-18139751154740212157160*x^43+2166692499038\
4142298830*x^42+11666805764052999699370*x^41-12928082062869540207410*x^40-67\
15886785906254653200*x^39+6892620648693261354600*x^38+3446310324346630677300\
*x^37-3269576461559623975900*x^36-1569396701548619508432*x^35+13732221138550\
42069878*x^34+630939890149613923998*x^33-507829667681396572974*x^32-22261026\
5284995758016*x^31+164307576757973059488*x^30+68461490315822108120*x^29-4617\
1702771135840360*x^28-18208558839321176480*x^27+11173433833219812840*x^26+41\
50132566624501912*x^25-2305629203680278840*x^24-801957983888792640*x^23+4009\
78991944396320*x^22+129728497393775280*x^21-57963796707857040*x^20-173026258\
82942400*x^19+6848956078664700*x^18+1867897112363100*x^17-648045936942300*x^\
16-159518999862720*x^15+47855699958816*x^14+10468434365991*x^13-266842444623\
3*x^12-508271323092*x^11+107518933731*x^10+17341763505*x^9-2944827765*x^8-38\
6206920*x^7+50063860*x^6+5006386*x^5-455126*x^4-30856*x^3+1653*x^2+57*x-1
Common denominator of the automorphisms:
1
Complex polynomial:
x^114+225*x^112+24314*x^110+1681067*x^108+83585744*x^106+3185107280*x^104+96\
799241463*x^102+2410889806916*x^100+50181734700272*x^98+885827989584267*x^96\
+13412142854969267*x^94+175732361966955539*x^92+2006727179824593409*x^90+200\
85666717141597827*x^88+177031730238474378150*x^86+1379136611097089222086*x^8\
4+9525003736468358116446*x^82+58461699778500130008701*x^80+31948272593760009\
7123027*x^78+1556746830350486979493911*x^76+6770715357464041110101726*x^74+2\
6302195888044105082933301*x^72+91293991704330507372802071*x^70+2831417535130\
30454271943780*x^68+784458986193042550411306359*x^66+19404997312883041744641\
81543*x^64+4282415693913213900343999657*x^62+8422376506717205587304128052*x^\
60+14742577447840566633951498716*x^58+22930283808544329217841067585*x^56+316\
31943745390587246388731507*x^54+38617160129997235866080139146*x^52+416196793\
13920780022245169686*x^50+39488233568658284442749470021*x^48+328794782900970\
31373715367511*x^46+23941247448017432427532297511*x^44+151856267844322338720\
54996994*x^42+8353811249526234200999713566*x^40+3966244999852019320397451304\
*x^38+1616338567635775960836632186*x^36+561882627130641532255100914*x^34+165\
440014187545187488217367*x^32+40922579562313803309785800*x^30+84227714091433\
08200413390*x^28+1426197626405029392460795*x^26+195965944209286849681017*x^2\
4+21485637263906052746057*x^22+1840576214774581158780*x^20+11994849535628433\
4962*x^18+5745076401677976956*x^16+193365136719932712*x^14+4317554785438377*\
x^12+59645391200197*x^10+472549663866*x^8+2054633344*x^6+4556981*x^4+4283*x^\
2+1
Common denominator of the automorphisms:
1588418066740990057625088090383091632367112521031606736856186585153624788143\
0503082262634680649742946620886934863583150949409347474679245569484658678784\
3479527977528381455736952649391733570017954716334155188750451218861281527698\
8697562234229585086959523556099488922482833575767942051139065081973280587724\
8694897803212890951008943914625914204302894110979170820417700913573647901332\
4263449207558614542712612854885208846661082104159536256158894613

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.