Group GAP4(72,47)

Name: C6 x A4
Maximal quotients:GAP4(18,5) GAP4(24,13) GAP4(36,11)
Real polynomial:
x^72-732*x^70+247050*x^68-51162774*x^66+7300300599*x^64-764020792098*x^62+60\
962415369903*x^60-3806114317537950*x^58+189365446550765169*x^56-760820468026\
8251304*x^54+249276773614514077008*x^52-6708941046835559971956*x^50+14911131\
9217829922589536*x^48-2747200708770409762869420*x^46+42060090793864087174261\
734*x^44-535843537348463542160114292*x^42+5682488850285573721952715372*x^40-\
50130300595025264198356026540*x^38+367322580476491824283689184266*x^36-22299\
94931484475374849754382196*x^34+11178590231103161396259543168978*x^32-460681\
86464484907775160593988864*x^30+155247563858801625064957911724278*x^28-42510\
6433945348706000886013262088*x^26+938862883417831414305153252377184*x^24-165\
8194528187180732908797083929716*x^22+2319326601666954140755530140333040*x^20\
-2540562029728451208156553466777820*x^18+2151426459233286065191854848180625*\
x^16-1387147908930707956230024200202600*x^14+6683744845658912530799897463917\
70*x^12-234991773900528969716072432967438*x^10+58369066020405292604751921113\
559*x^8-9774616684665323183626860885018*x^6+1025527917852519894005224697847*\
x^4-59246454676486706393699363562*x^2+1410629873249683485564270561
Common denominator of the automorphisms:
2502309915520375981852859391185118431548716718699821766216789465916693526156\
82985619965694697284118275443736590745600
Complex polynomial:
x^72-16*x^69+78*x^66-376*x^63+5953*x^60-29636*x^57+472818*x^54-7358600*x^51+\
34507038*x^48+8790508*x^45-22274298*x^42-6098908*x^39-15990315*x^36-6098908*\
x^33-22274298*x^30+8790508*x^27+34507038*x^24-7358600*x^21+472818*x^18-29636\
*x^15+5953*x^12-376*x^9+78*x^6-16*x^3+1
Common denominator of the automorphisms:
14428102754787546312318245110276

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.