Group GAP4(72,38)
Name: C3 x C3 x Q8
Maximal quotients:GAP4(24,11) GAP4(36,14)
Real polynomial:
x^72-180*x^70+13860*x^68-619200*x^66+18250353*x^64-381202884*x^62+5905639476\
*x^60-70021065492*x^58+650005451388*x^56-4805523685332*x^54+28667518315200*x\
^52-139412293808400*x^50+557131364217405*x^48-1841175687177144*x^46+50563968\
20903520*x^44-11582745599266848*x^42+22191072735455307*x^40-3562160559547215\
6*x^38+47953002675269916*x^36-54140602506664680*x^34+51228617851639341*x^32-\
40559316534411732*x^30+26802204244482996*x^28-14731242741267516*x^26+6703619\
029111179*x^24-2511010727785800*x^22+768570779695428*x^20-190484598204144*x^\
18+37794801957462*x^16-5917710416652*x^14+717770609388*x^12-65810740356*x^10\
+4410464580*x^8-205779204*x^6+6193584*x^4-104976*x^2+729
Common denominator of the automorphisms:
107542641382838390810756692690512430195249817087022364222035255792
Complex polynomial:
x^72+180*x^70+13860*x^68+619200*x^66+18250353*x^64+381202884*x^62+5905639476\
*x^60+70021065492*x^58+650005451388*x^56+4805523685332*x^54+28667518315200*x\
^52+139412293808400*x^50+557131364217405*x^48+1841175687177144*x^46+50563968\
20903520*x^44+11582745599266848*x^42+22191072735455307*x^40+3562160559547215\
6*x^38+47953002675269916*x^36+54140602506664680*x^34+51228617851639341*x^32+\
40559316534411732*x^30+26802204244482996*x^28+14731242741267516*x^26+6703619\
029111179*x^24+2511010727785800*x^22+768570779695428*x^20+190484598204144*x^\
18+37794801957462*x^16+5917710416652*x^14+717770609388*x^12+65810740356*x^10\
+4410464580*x^8+205779204*x^6+6193584*x^4+104976*x^2+729
Common denominator of the automorphisms:
107542641382838390810756692690512430195249817087022364222035255792
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.