Group GAP4(72,11)

Name: C9 x Q8
Maximal quotients:GAP4(24,11) GAP4(36,5)
Real polynomial:
x^72-216*x^70+22356*x^68-1476144*x^66+69845490*x^64-2521943424*x^62+72257500\
224*x^60-1686537697536*x^58+32670079851879*x^56-532401301360836*x^54+7372899\
322583436*x^52-87419951578345212*x^50+892412038962485370*x^48-78746355804940\
41744*x^46+60223531403444295312*x^44-399800197834283782404*x^42+230510511142\
9130117151*x^40-11537938798376856828300*x^38+50069822984923587621804*x^36-18\
7955476862070610885356*x^34+608374631296394104815342*x^32-169078140863099119\
8731808*x^30+4013116403633122358929176*x^28-8081434593204300212650704*x^26+1\
3696956840574513025864730*x^24-19350557306928614374012728*x^22+2252553736310\
6225311736928*x^20-21309951416078168427340584*x^18+1611728782445481936973167\
6*x^16-9556824002568404152910976*x^14+4339401940023183329180976*x^12-1465649\
478035620146609372*x^10+354631338239487295892409*x^8-58322974897667136970620\
*x^6+6006713425538033976516*x^4-333296920496033767260*x^2+688103707583918664\
9
Common denominator of the automorphisms:
378760411788931573365921435
Complex polynomial:
x^72+216*x^70+22356*x^68+1476144*x^66+69845490*x^64+2521943424*x^62+72257500\
224*x^60+1686537697536*x^58+32670079851879*x^56+532401301360836*x^54+7372899\
322583436*x^52+87419951578345212*x^50+892412038962485370*x^48+78746355804940\
41744*x^46+60223531403444295312*x^44+399800197834283782404*x^42+230510511142\
9130117151*x^40+11537938798376856828300*x^38+50069822984923587621804*x^36+18\
7955476862070610885356*x^34+608374631296394104815342*x^32+169078140863099119\
8731808*x^30+4013116403633122358929176*x^28+8081434593204300212650704*x^26+1\
3696956840574513025864730*x^24+19350557306928614374012728*x^22+2252553736310\
6225311736928*x^20+21309951416078168427340584*x^18+1611728782445481936973167\
6*x^16+9556824002568404152910976*x^14+4339401940023183329180976*x^12+1465649\
478035620146609372*x^10+354631338239487295892409*x^8+58322974897667136970620\
*x^6+6006713425538033976516*x^4+333296920496033767260*x^2+688103707583918664\
9
Common denominator of the automorphisms:
378760411788931573365921435

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.