Group GAP4(116,2)

Name: C116
Maximal quotients:GAP4(4,1) GAP4(58,2)
Real polynomial:
x^116+x^115-115*x^114-114*x^113+6441*x^112+6328*x^111-234136*x^110-227920*x^\
109+6210820*x^108+5989005*x^107-128164707*x^106-122391522*x^105+2141851635*x\
^104+2025023364*x^103-29796772356*x^102-27883218168*x^101+352025629371*x^100\
+325949656825*x^99-3585446225075*x^98-3283866636050*x^97+31853506369685*x^96\
+28848458598960*x^95-249145778809200*x^94-223044792457760*x^93+1728597141547\
640*x^92+1529143625215220*x^91-10704005376506540*x^90-9353014406656200*x^89+\
59458448728028700*x^88+51297485177122800*x^87-297525414027312240*x^86-253338\
471349988640*x^85+1345860629046814650*x^84+1130522928399324306*x^83-55196119\
44537877494*x^82-4571799792445514692*x^81+20573099066004816114*x^80+16794366\
584493727440*x^79-69829208430263393040*x^78-56151322242892212960*x^77+216182\
590635135019896*x^76+171144550919481890751*x^75-611230538998149609825*x^74-4\
76116419851190222390*x^73+1579840847688040283385*x^72+1210090862058924472380\
*x^71-3735497878529723371260*x^70-2811665069861082107400*x^69+80835370758506\
11058775*x^68+5974788273454799478225*x^67-16012432572858862601643*x^66-11613\
412635260273974818*x^65+29033531588150684937045*x^64+20646066907129375955232\
*x^63-48174156116635210562208*x^62-33559524485745877020864*x^61+731118212010\
89232081168*x^60+49848969000742658237160*x^59-101416867967028166758360*x^58-\
67611245311352111172240*x^57+128461366091569011227256*x^56+83649261641021681\
729376*x^55-148409980330844919197280*x^54-94283987504301478078272*x^53+15615\
7854303999323067138*x^52+96669147902475771422514*x^51-1493977740310989194711\
58*x^50-89998659054878867151300*x^49+129703949814384249718050*x^48+759242633\
05981024225200*x^47-101955439296603089673840*x^46-57900619847453606481440*x^\
45+72375774809317008101800*x^44+39806676145124354455990*x^43-462618128173066\
82205610*x^42-24594887826922539906780*x^41+26536589497469056215210*x^40+1360\
8507434599516007800*x^39-13608507434599516007800*x^38-6715886785906254653200\
*x^37+6212195276963285554210*x^36+2942618815403661578310*x^35-25119916716860\
52566850*x^34-1138769557831010496972*x^33+894747509724365390478*x^32+3869178\
42042968817504*x^31-278940769844931007968*x^30-114633193086957948480*x^29+75\
553695443676829680*x^28+29381992672540989320*x^27-17629195603524593592*x^26-\
6455761770304780752*x^25+3508566179513467800*x^24+1202936975833188960*x^23-5\
88671286046028640*x^22-187692294101632320*x^21+82115378669464140*x^20+241515\
81961607100*x^19-9364899127970100*x^18-2515943049305400*x^17+855420636763836\
*x^16+207374699821536*x^15-60992558771040*x^14-13136858812224*x^13+328421470\
3056*x^12+615790256823*x^11-127805525001*x^10-20286591270*x^9+3381098545*x^8\
+436270780*x^7-55525372*x^6-5461512*x^5+487635*x^4+32509*x^3-1711*x^2-58*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^116+295*x^114+42185*x^112+3896950*x^110+261485050*x^108+13586837125*x^106+\
569149813000*x^104+19758631871875*x^102+579971459660000*x^100+14613319586121\
875*x^98+319817705861784375*x^96+6136849531363640625*x^94+104035971196658609\
375*x^92+1567949670912715156250*x^90+21117571720144620703125*x^88+2552706932\
60305823046875*x^86+2779596372572718728125000*x^84+2734718579739701133789062\
5*x^82+243728543245438595244140625*x^80+1971932224633493513203125000*x^78+14\
509014977854021115625000000*x^76+97223317713138622475195312500*x^74+59400163\
3319780035666357421875*x^72+3311850092189260304741943359375*x^70+16861344722\
720251630506835937500*x^68+78419286595196276475028076171875*x^66+33322373850\
9180633010877685546875*x^64+1293630382363036296513427734375000*x^62+45870329\
12189346611114099121093750*x^60+14848912240583253234209197998046875*x^58+438\
52969270282364466081085205078125*x^56+118045624845835296566083068847656250*x\
^54+289303233856677215501645202636718750*x^52+644631234508201556648184204101\
562500*x^50+1303815291635056334139340209960937500*x^48+238913831132791574317\
6338195800781250*x^46+3957607387613288838381980895996093750*x^44+59114724529\
69886678436470031738281250*x^42+7939264703093583257221469879150390625*x^40+9\
555715840518037764916133880615234375*x^38+1026893924213460495711822509765625\
0000*x^36+9811279447330155031230449676513671875*x^34+82940259812484557271342\
27752685546875*x^32+6169484014565831862483024597167968750*x^30+4012636425466\
530177865028381347656250*x^28+2265403617220954389190673828125000000*x^26+110\
0858961026167690587043762207031250*x^24+455942836022501161694526672363281250\
*x^22+159089904718715475797653198242187500*x^20+4612393521760403215885162353\
5156250*x^18+10927374734877832531929016113281250*x^16+2072612383784508705139\
160156250000*x^14+306755067741322517395019531250000*x^12+3427758077761530876\
1596679687500*x^10+2767677780665457248687744140625*x^8+151903664954006671905\
517578125*x^6+5174645185470581054687500000*x^4+94016082584857940673828125*x^\
2+648386776447296142578125
Common denominator of the automorphisms:
6314841927267811980251901179481946480736413198191545536581378456413867297852\
59377700645268033274161632139125206876283548772335052490234375

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.