Group GAP4(96,196)

Name: C2 x C4 x A4
Maximal quotients:GAP4(24,9) GAP4(48,31) GAP4(48,49)
Real polynomial:
x^96-268*x^94+33704*x^92-2652340*x^90+146943482*x^88-6112997432*x^86+1988868\
54162*x^84-5203908714926*x^82+111742977019849*x^80-1999436783891788*x^78+301\
66627712282334*x^76-387374038865681738*x^74+4265389914807642209*x^72-4051536\
6833869559470*x^70+333593379051595162225*x^68-2390241812938560000222*x^66+14\
949814914912694331460*x^64-81817011107557306587372*x^62+39250665475403446598\
6820*x^60-1652691511560129586375400*x^58+6112323568391248762877920*x^56-1986\
1595934890078418046248*x^54+56694473162456580980033720*x^52-1420742886495132\
53277209274*x^50+312225779920169814025261862*x^48-60079151152158292974037096\
8*x^46+1010144446580576577449208156*x^44-1480168543574565541185729026*x^42+1\
884102812563212272343957710*x^40-2075209124940933062392223562*x^38+196851069\
9387243426935656427*x^36-1599147186374822950376815158*x^34+11050999207987265\
19711759320*x^32-644479638458002059863475660*x^30+31418076903013875981609476\
2*x^28-126585569097499881500419932*x^26+41585137717245649199296346*x^24-1096\
0135426904620977883746*x^22+2273283822499670614348961*x^20-36271697826834610\
8460094*x^18+43356034896986670787878*x^16-3767249269610007654206*x^14+230235\
575492651704457*x^12-9559915079374493240*x^10+259921220690187561*x^8-4423505\
432189150*x^6+44171920300410*x^4-231971745800*x^2+485982025
Common denominator of the automorphisms:
2590517841174076255245949291900125091002499734217341076886456052923533681666\
5574342367572711080933269155795780284057182385367141497519631493498835046304\
6460866909227060961029575239158827374835034304374873658681480021890628633377\
05641439700948669769387337088280842157221995190522427623911500
Complex polynomial:
x^96+280*x^88-296404*x^80+46208652*x^72-592142626*x^64+1663155508*x^56+32502\
09922*x^48+220222492*x^40-183491955*x^32+16292864*x^24-307858*x^16+1652*x^8+\
1
Common denominator of the automorphisms:
2036060659637300651008415579323321088

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.