Group GAP4(96,120)

Name: QD16 x S3
Maximal quotients:GAP4(32,40) GAP4(48,38)
Real polynomial:
x^96-1218*x^94+603792*x^92-161260892*x^90+26004728946*x^88-2709499253790*x^8\
6+191824111359144*x^84-9600746974721742*x^82+350531367670683129*x^80-9572034\
390837221866*x^78+199441631079103799400*x^76-3222412088421868061286*x^74+409\
10060757404098121702*x^72-412542456001739514577392*x^70+33339765588052009174\
73088*x^68-21750377283604009095372774*x^66+115218163782401376413728914*x^64-\
497883067505391189729442146*x^62+1761254748683342135260837696*x^60-511380526\
4371662045969326328*x^58+12209646556199998679227012986*x^56-2400195775289377\
7771491345946*x^54+38879797759934880095353559448*x^52-5192073113571280125332\
2824750*x^50+57174502115024947488128711337*x^48-5192073113571280125332282475\
0*x^46+38879797759934880095353559448*x^44-24001957752893777771491345946*x^42\
+12209646556199998679227012986*x^40-5113805264371662045969326328*x^38+176125\
4748683342135260837696*x^36-497883067505391189729442146*x^34+115218163782401\
376413728914*x^32-21750377283604009095372774*x^30+3333976558805200917473088*\
x^28-412542456001739514577392*x^26+40910060757404098121702*x^24-322241208842\
1868061286*x^22+199441631079103799400*x^20-9572034390837221866*x^18+35053136\
7670683129*x^16-9600746974721742*x^14+191824111359144*x^12-2709499253790*x^1\
0+26004728946*x^8-161260892*x^6+603792*x^4-1218*x^2+1
Common denominator of the automorphisms:
2703468403561729827743566600464878224320497493255131307098312277275219397358\
3431557841004932666184568620951529379554329086223981717890872502533290872793\
458188026848394270998528
Complex polynomial:
x^96+1128*x^88+514608*x^80+22781184*x^72+681100544*x^64+11658246144*x^56+119\
901024256*x^48+186531938304*x^40+174361739264*x^32+93311729664*x^24+33725349\
888*x^16+1182793728*x^8+16777216
Common denominator of the automorphisms:
82791968866289844224000000

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.