Group GAP4(72,3)

Name: Q8 : C9
Maximal quotients:GAP4(24,3) GAP4(36,3)
Real polynomial:
x^72-422*x^70+72651*x^68-6945828*x^66+419596625*x^64-17222856355*x^62+503768\
986507*x^60-10866947985107*x^58+177443018509839*x^56-2238327391960766*x^54+2\
2165127808944238*x^52-174503114257067606*x^50+1103192584410277593*x^48-56438\
92510922266005*x^46+23503685081134455626*x^44-80013618433803383246*x^42+2232\
84513560165066068*x^40-511451222243605183210*x^38+961569862925895428465*x^36\
-1481673206236933476963*x^34+1865692495646868899430*x^32-1911109361511945736\
685*x^30+1582746514184863517406*x^28-1051443510404422103752*x^26+55488856141\
0406212028*x^24-229989701588094342466*x^22+73896790834819920734*x^20-1814149\
5254035092493*x^18+3350143068404223964*x^16-457766351634603771*x^14+45499868\
181363406*x^12-3230340579020140*x^10+160163227908554*x^8-5364374805771*x^6+1\
14750550362*x^4-1405652983*x^2+7458361
Common denominator of the automorphisms:
4773619041513192272183255317638791571583596493403654378852107441083151322976\
6050069130849468384014417078978862551138458576675333494703284318908904029326\
1992926747461664084100463202351306925763255139062288323535720194030402841325\
7673323665256623405020551225606898438518539011315729457168494639366690649558\
50706464432
Complex polynomial:
x^72+422*x^70+72651*x^68+6945828*x^66+419596625*x^64+17222856355*x^62+503768\
986507*x^60+10866947985107*x^58+177443018509839*x^56+2238327391960766*x^54+2\
2165127808944238*x^52+174503114257067606*x^50+1103192584410277593*x^48+56438\
92510922266005*x^46+23503685081134455626*x^44+80013618433803383246*x^42+2232\
84513560165066068*x^40+511451222243605183210*x^38+961569862925895428465*x^36\
+1481673206236933476963*x^34+1865692495646868899430*x^32+1911109361511945736\
685*x^30+1582746514184863517406*x^28+1051443510404422103752*x^26+55488856141\
0406212028*x^24+229989701588094342466*x^22+73896790834819920734*x^20+1814149\
5254035092493*x^18+3350143068404223964*x^16+457766351634603771*x^14+45499868\
181363406*x^12+3230340579020140*x^10+160163227908554*x^8+5364374805771*x^6+1\
14750550362*x^4+1405652983*x^2+7458361
Common denominator of the automorphisms:
4773619041513192272183255317638791571583596493403654378852107441083151322976\
6050069130849468384014417078978862551138458576675333494703284318908904029326\
1992926747461664084100463202351306925763255139062288323535720194030402841325\
7673323665256623405020551225606898438518539011315729457168494639366690649558\
50706464432

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.