Group GAP4(96,177)

Name: C6 x (C8 : C2)
Maximal quotients:GAP4(32,37) GAP4(48,24) GAP4(48,44)
Real polynomial:
x^96-192*x^94+17856*x^92-1071616*x^90+46650240*x^88-1569908736*x^86+42503825\
408*x^84-951321575424*x^82+17950789499488*x^80-289780305525760*x^78+40474895\
65543424*x^76-49349070448271360*x^74+528935863883847680*x^72-501189999982972\
1088*x^70+42173301606806814720*x^68-316282351691878891520*x^66+2120079359730\
402852608*x^64-12729938476717720961024*x^62+68581993357225255600128*x^60-331\
892853509991407288320*x^58+1443727151695549016768512*x^56-564653115765159011\
6016128*x^54+19852760504244617062907904*x^52-62713872769222777805733888*x^50\
+177827694515850386910740480*x^48-452005172284764560591683584*x^46+102808694\
5814653565474439168*x^44-2087859887308895923799588864*x^42+37756686490339080\
57343524864*x^40-6060609471522778557909565440*x^38+8602479494430375361623621\
632*x^36-10749350421471498800650518528*x^34+11763172636163410804145586176*x^\
32-11204442776875637926692651008*x^30+9222527421396291256175296512*x^28-6504\
328326731897335451746304*x^26+3890792897116165064873738240*x^24-195007288042\
0919606446653440*x^22+806816241239846951873150976*x^20-270522450204832738119\
254016*x^18+71816086723432247228104704*x^16-14645868159740194001518592*x^14+\
2203379906436124863627264*x^12-230999676177456117579776*x^10+154907763567322\
24405504*x^8-575657357254926008320*x^6+8852200506794180608*x^4-2652292629135\
3600*x^2+1905371643904
Common denominator of the automorphisms:
14114028016252836868536664064
Complex polynomial:
x^96-4096*x^48+16777216
Common denominator of the automorphisms:
16777216

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.