Group GAP4(72,43)

Name: (C3 x A4) : C2
Maximal quotients:GAP4(18,4) GAP4(24,12)
Real polynomial:
x^72-504*x^70+118296*x^68-17221248*x^66+1747102284*x^64-131569656048*x^62+76\
49708860800*x^60-352615139902368*x^58+13130977973654358*x^56-400519241556729\
120*x^54+10109998721312220816*x^52-212832711613023848352*x^50+37582900655282\
82383148*x^48-55902484024055667645840*x^46+702458934331734102285504*x^44-747\
0258782049744025254624*x^42+67285419550201416253373649*x^40-5132486757450249\
68696475624*x^38+3312324315484530258671337816*x^36-1805285367206641244316417\
7248*x^34+82871515070988909056527493376*x^32-319271462613483422367361027968*\
x^30+1027628324396189730403033917888*x^28-2747775080560620730408392591360*x^\
26+6061538461735817562384011737440*x^24-10938163335861233772692377433856*x^2\
2+15977235274127770449838080448512*x^20-18644474182362785048294042065920*x^1\
8+17093687826080512296226766594304*x^16-12048404189645854488841696880640*x^1\
4+6342299092358778983715713627136*x^12-2395745220092923206678942572544*x^10+\
613201456663351113583553995008*x^8-97480033056229417074491516928*x^6+8332100\
080232438679145998336*x^4-287179711350235254675726336*x^2+173242968577735596\
281856
Common denominator of the automorphisms:
6357181139005043141907053872322428401767573334760850600650006722092938853161\
0200922758253580882370448743640733274468637254526400493579595999271932679093\
87354112000
Complex polynomial:
x^72+900*x^66+202446*x^60+17385300*x^54+413514315*x^48+4117902300*x^42+16735\
711320*x^36+37061120700*x^30+33494659515*x^24+12673883700*x^18+1328248206*x^\
12+53144100*x^6+531441
Common denominator of the automorphisms:
1772982014860966547880

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.