Group GAP4(90,9)

Name: (C15 x C3) : C2
Maximal quotients:GAP4(18,4) GAP4(30,3)
Real polynomial:
x^90-2220*x^88+2307327*x^86-1496531790*x^84+681171995223*x^82-23195913867516\
0*x^80+61514642302608469*x^78-13056581664774129630*x^76+22620038899562028797\
10*x^74-324578620227219295858400*x^72+39007707330205759107534582*x^70-396032\
6658939363043248271740*x^68+341964631058273848976153109054*x^66-252450106100\
32387198582101917280*x^64+1599817994408611196768110420361466*x^62-8729618573\
0114532665912288601709420*x^60+4110712693184915141584539350480429853*x^58-16\
7297878507289935730868913966646791260*x^56+588967907974725180303864285506227\
3204555*x^54-179409206457520604064201559735410929956950*x^52+472757967851577\
2269077342867248265006397083*x^50-107681076510742227194429171353161825143952\
360*x^48+2117354143298995407429264227330145130736476161*x^46-358782348160715\
54510830486150320349980520430070*x^44+52271071058589412747131550927425720728\
8208053524*x^42-6529299443738504235083042978361922328011038370680*x^40+69693\
481360703907716701563400635445448251782214512*x^38-6331929454664212166386599\
98859745543520978537319840*x^36+48745796564235506546758400443181924245492733\
03693760*x^34-31634757658862139543246094416670713041870444073398400*x^32+172\
071269386324300719405725045782654416023137518979584*x^30-7794225713867307845\
26621460395166833025654214081223680*x^28+29192310267204472639757907126883384\
35530028472567646208*x^26-89700474587827204248916526060548923231279268553319\
83360*x^24+22418365475503398577430731536140754638417408072506662912*x^22-451\
35671538134824741725655467895761919379816411209482240*x^20+72407836807376548\
964369301856415879539383491288990908416*x^18-9136951062293071603638343501823\
5100571973395573633515520*x^16+892697462491899644010554305349736723873092210\
41584537600*x^14-66177643038349472070402050516782327827773118594990080000*x^\
12+36230893395589126699251725041799307999284689047552000000*x^10-14105036749\
365951156124908852300508303828635928166400000*x^8+36923925677976466297706377\
64160498642803288752128000000*x^6-594265469541953822067274219905687861215097\
815040000000*x^4+49814236114766087645943927440202260809310208000000000*x^2-1\
423910759474685646081164389892223618662400000000000
Common denominator of the automorphisms:
1449264172888888337798882034970754545615082537266339336385523468559152286518\
1783402612392109283778654794451367719012215374566001152447454703960479912502\
9655912626626955837518449876829780206226284110929577956046904435380221597443\
1831314301693499377397693028955603391793509431177807933341813190400796166463\
1944612626298099529232408053478004111862464313132579804928279276571102465080\
295030581740672428376657908182695958439526400000000000
Complex polynomial:
x^90-3575*x^84+5899585*x^78-3729925595*x^72+893077524085*x^66-43936248328379\
*x^60-262632716362475*x^54+49602733939353265*x^48-535480154974863005*x^42-10\
501179899750556885*x^36+229977587155556061027*x^30-1449368913653814233025*x^\
24+3366157163345859063015*x^18+1045241383637076298695*x^12+13233142111553405\
5815*x^6+18531153780659883
Common denominator of the automorphisms:
8587992977572909008806908744824408885197239840080178489966498992339033078932\
203290624

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.