Group GAP4(113,1)

Name: C113
Maximal quotient:GAP4(1,1)
Real polynomial:
x^113+x^112-112*x^111-111*x^110+6105*x^109+5995*x^108-215820*x^107-209934*x^\
106+5563251*x^105+5359095*x^104-111469176*x^103-106308566*x^102+1807245622*x\
^101+1705904746*x^100-24370067800*x^99-22760723700*x^98+278818865325*x^97+25\
7575523205*x^96-2747472247520*x^95-2509710226100*x^94+23591276125340*x^93+21\
300860967540*x^92-178152655364880*x^91-158940114100040*x^90+1192050855750300\
*x^89+1050421051106700*x^88-7110542499799200*x^87-6186171974825304*x^86+3800\
0770702498296*x^85+32626924340528840*x^84-182710776306961504*x^83-1547448411\
57936784*x^82+793067310934426018*x^81+662252084388541314*x^80-31164803971225\
47360*x^79-2564603660132096265*x^78+11113282527239083815*x^77+90076079431306\
25829*x^76-36030431772522503316*x^75-28747684924884976050*x^74+1063664342220\
74411385*x^73+83491932238832602485*x^72-286258053390283208520*x^71-220916541\
203370737010*x^70+702916267465270526850*x^69+532980466539600729150*x^68-1575\
768335856210851400*x^67-1173071983359623633820*x^66+3225947954238964993005*x\
^65+2356029404781266567925*x^64-6031435276240042413888*x^63-4317959345490030\
364488*x^62+10296672285399303176856*x^61+7219505855279971192968*x^60-1604334\
6345066602651040*x^59-11006481794871273911760*x^58+22799140860804781674360*x\
^57+15288835636069088887512*x^56-29523268814478240610368*x^55-19330711723765\
514685360*x^54+34795281102777926433648*x^53+22218673475267832541968*x^52-372\
70032926255719102656*x^51-23180142429744410661408*x^50+362189725464756416584\
50*x^49+21910242651571684460050*x^48-31869443856831541032800*x^47-1872329826\
5888530356770*x^46+25331521183260952835630*x^45+14429347509452441488650*x^44\
-18139751154740212157160*x^43-10000119226331142599460*x^42+11666805764052999\
699370*x^41+6212195276963285554210*x^40-6715886785906254653200*x^39-34463103\
24346630677300*x^38+3446310324346630677300*x^37+1700179760011004467468*x^36-\
1569396701548619508432*x^35-742282223705428145880*x^34+630939890149613923998\
*x^33+285219402396400814958*x^32-222610265284995758016*x^31-9584608644215095\
1368*x^30+68461490315822108120*x^29+27963143931814663880*x^28-18208558839321\
176480*x^27-7023301266595310928*x^26+4150132566624501912*x^25+15036712197914\
86200*x^24-801957983888792640*x^23-271250494550621040*x^22+12972849739377528\
0*x^21+40661170824914640*x^20-17302625882942400*x^19-4981058966301600*x^18+1\
867897112363100*x^17+488526937079580*x^16-159518999862720*x^15-3738726559282\
5*x^14+10468434365991*x^13+2160153123141*x^12-508271323092*x^11-90177170226*\
x^10+17341763505*x^9+2558620845*x^8-386206920*x^7-45057474*x^6+5006386*x^5+4\
24270*x^4-30856*x^3-1596*x^2+57*x+1
Common denominator of the automorphisms:
1

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.