Group GAP4(96,181)

Name: C6 x Q16
Maximal quotients:GAP4(32,41) GAP4(48,27) GAP4(48,45)
Real polynomial:
x^96-336*x^94+51156*x^92-4722144*x^90+298402552*x^88-13815463872*x^86+489565\
046992*x^84-13690279518048*x^82+308999514390420*x^80-5726938050437184*x^78+8\
8340259868582400*x^76-1146374643336581568*x^74+12623509310938197280*x^72-118\
785846230597333760*x^70+960636349868407873696*x^68-6707790463721464817280*x^\
66+40593745631514155103072*x^64-213554195549685150746880*x^62+97895092082249\
1066629312*x^60-3917538679888034925652992*x^58+13704117952941817747312512*x^\
56-41944255228684024991910912*x^54+112383974905253065530654208*x^52-26364130\
7540381776926144000*x^50+541392279518977735711403072*x^48-972655620348025211\
341126656*x^46+1527410229177389706563298304*x^44-209380128756755962161023078\
4*x^42+2501204719923907317894092288*x^40-2598027874219499643452116992*x^38+2\
340098313112934037401898496*x^36-1821663327425674338891307008*x^34+122062766\
9594690174832211456*x^32-700571039715496703436877824*x^30+342386366429709539\
290006528*x^28-141482577455725980892594176*x^26+49013905647279865349793792*x\
^24-14090289220648830915919872*x^22+3319945075276283764359168*x^20-631560007\
864056057077760*x^18+95222592140036998468608*x^16-11119860530605405028352*x^\
14+976713296666768252928*x^12-62105435142212861952*x^10+2715432736813834240*\
x^8-76023207115161600*x^6+1229792729833472*x^4-9633950957568*x^2+23612624896
Common denominator of the automorphisms:
1323198655244576721647484398966686595911738721242164272337018666066261260221\
3284128650714505132355852359674146703764480044821582857415087685830057177360\
4817949922562609463164162468252451684739535424659295181368235013973957327835\
7239913381888
Complex polynomial:
x^96+9800*x^90+74642288*x^84+172888096304*x^78+270774025580058*x^72+26293755\
7119050072*x^66+186491577117256117056*x^60+86970934556011069574696*x^54+2904\
2886740780708895350083*x^48+5305928501363063187525182488*x^42+65364290342113\
0906185779806272*x^36+11332189191501033000359252146696*x^30+1727370485939700\
03325928317541466*x^24+8769935787135846281232459215632*x^18+4435993043970568\
61272288814192*x^12+9220640453862621039622072*x^6+191581231380566414401
Common denominator of the automorphisms:
6955702510600152013129710074060935155512833555976218129209238928991881947454\
2841089646040546216941455726381783762977544273123775724

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.