Group GAP4(96,117)

Name: D16 x S3
Maximal quotients:GAP4(32,39) GAP4(48,38)
Real polynomial:
x^96-589*x^94+143185*x^92-19522004*x^90+1699557496*x^88-101554473583*x^86+43\
61130797103*x^84-138971945872034*x^82+3364995728866871*x^80-6306774634957697\
5*x^78+928780994034625856*x^76-10882832747791002656*x^74+1025474698174130078\
45*x^72-784259686345915113369*x^70+4907091845186506936005*x^68-2529592857026\
5387130517*x^66+108088223527418538482853*x^64-384847872417793612575249*x^62+\
1146923516373552266782284*x^60-2871831417567503671920756*x^58+60606513557226\
39207361143*x^56-10806908758242028006866468*x^54+16313038530093601222789983*\
x^52-20873898554058688674227880*x^50+22659731078799353713040031*x^48-2087389\
8554058688674227880*x^46+16313038530093601222789983*x^44-1080690875824202800\
6866468*x^42+6060651355722639207361143*x^40-2871831417567503671920756*x^38+1\
146923516373552266782284*x^36-384847872417793612575249*x^34+1080882235274185\
38482853*x^32-25295928570265387130517*x^30+4907091845186506936005*x^28-78425\
9686345915113369*x^26+102547469817413007845*x^24-10882832747791002656*x^22+9\
28780994034625856*x^20-63067746349576975*x^18+3364995728866871*x^16-13897194\
5872034*x^14+4361130797103*x^12-101554473583*x^10+1699557496*x^8-19522004*x^\
6+143185*x^4-589*x^2+1
Common denominator of the automorphisms:
1603993221653072043117664247947979425868569220841046780655579371093593375380\
39771974946816295664109914249001481
Complex polynomial:
x^96+282*x^88+32163*x^80+355956*x^72+2660549*x^64+11385006*x^56+29272711*x^4\
8+11385006*x^40+2660549*x^32+355956*x^24+32163*x^16+282*x^8+1
Common denominator of the automorphisms:
9869571789060812500

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.