Group GAP4(112,22)

Name: C56 x C2
Maximal quotients:GAP4(16,5) GAP4(56,2) GAP4(56,8)
Real polynomial:
x^112-222*x^110+23980*x^108-1679472*x^106+85745520*x^104-3401874112*x^102+10\
9177903744*x^100-2913372633600*x^98+65939333940480*x^96-1284971635763200*x^9\
4+21812081630760960*x^92-325509353676881920*x^90+4302524625333043200*x^88-50\
677120817768890368*x^86+534559528395224514560*x^84-5070678955063272538112*x^\
82+43401352602487443554304*x^80-336147730940834121646080*x^78+23612903766440\
34777317376*x^76-15072066233898094323302400*x^74+87547636339266134983311360*\
x^72-463295566217731347861995520*x^70+2235482102728913496676761600*x^68-9840\
441024186405691651522560*x^66+39527614226366741963656396800*x^64-14488667323\
7009730543147810816*x^62+484492836589187268712807268352*x^60-147726497978098\
4436902099681280*x^58+4104065565677255923023816425472*x^56-10378096832747083\
943278616248320*x^54+23857118984194501402139276869632*x^52-49778976826187110\
714770544656384*x^50+94103775635924707755546168524800*x^48-16083190745048950\
0527660724387840*x^46+247894302622869148244421220761600*x^44-343601480265544\
636247945018081280*x^42+426898808814767578368658961858560*x^40-4736572843179\
49802457402546585600*x^38+467341853860377138424637179297792*x^36-40807396802\
7772137501762193981440*x^34+313602049402164615258203549073408*x^32-210767773\
039937193994673387995136*x^30+122983207608816471344980447723520*x^28-6177761\
1263963622815152969089024*x^26+26452863848205767345091851059200*x^24-9543778\
329548747434307648225280*x^22+2861275527742713377449794600960*x^20-701021728\
267073554758814924800*x^18+137508108237002889587306004480*x^16-2104715942403\
1054528669286400*x^14+2432116200110255189979561984*x^12-20306093511356969328\
1026048*x^10+11523003884124383603589120*x^8-405841646233311623774208*x^6+764\
2968855617921351680*x^4-57501960042266492928*x^2+72057594037927936
Common denominator of the automorphisms:
36028797018963968
Complex polynomial:
x^112+111*x^110+5995*x^108+209934*x^106+5359095*x^104+106308566*x^102+170590\
4746*x^100+22760723700*x^98+257575523205*x^96+2509710226100*x^94+21300860967\
540*x^92+158940114100040*x^90+1050421051106700*x^88+6186171974825304*x^86+32\
626924340528840*x^84+154744841157936784*x^82+662252084388541314*x^80+2564603\
660132096265*x^78+9007607943130625829*x^76+28747684924884976050*x^74+8349193\
2238832602485*x^72+220916541203370737010*x^70+532980466539600729150*x^68+117\
3071983359623633820*x^66+2356029404781266567925*x^64+4317959345490030364488*\
x^62+7219505855279971192968*x^60+11006481794871273911760*x^58+15288835636069\
088887512*x^56+19330711723765514685360*x^54+22218673475267832541968*x^52+231\
80142429744410661408*x^50+21910242651571684460050*x^48+187232982658885303567\
70*x^46+14429347509452441488650*x^44+10000119226331142599460*x^42+6212195276\
963285554210*x^40+3446310324346630677300*x^38+1700179760011004467468*x^36+74\
2282223705428145880*x^34+285219402396400814958*x^32+95846086442150951368*x^3\
0+27963143931814663880*x^28+7023301266595310928*x^26+1503671219791486200*x^2\
4+271250494550621040*x^22+40661170824914640*x^20+4981058966301600*x^18+48852\
6937079580*x^16+37387265592825*x^14+2160153123141*x^12+90177170226*x^10+2558\
620845*x^8+45057474*x^6+424270*x^4+1596*x^2+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.