Group GAP4(48,3)

Name: (C4 x C4) : C3
Maximal quotient:GAP4(12,3)
Real polynomial:
x^48-280*x^46+31812*x^44-1982360*x^42+76730810*x^40-1977476040*x^38+35517127\
492*x^36-459272482120*x^34+4378624452759*x^32-31312474237040*x^30+1699781259\
96488*x^28-705718608774000*x^26+2249323650290380*x^24-5505605454212880*x^22+\
10319434143704168*x^20-14720788926183440*x^18+15822374899613631*x^16-1262133\
0037951480*x^14+7306082494940020*x^12-2967207794158200*x^10+801898339847450*\
x^8-131867425241000*x^6+11094431692500*x^4-310313545000*x^2+1740975625
Common denominator of the automorphisms:
1533807815572632289831390660497639537432143925777915891466937445593848794316\
8000
Complex polynomial:
x^48+160*x^46+11040*x^44+492400*x^42+14636800*x^40+257936000*x^38+1662608000\
*x^36-49775600000*x^34-1795243440000*x^32-23686747200000*x^30+31999812640000\
0*x^28+11850554336000000*x^26+27108324192000000*x^24-2323121482240000000*x^2\
2-25416265089280000000*x^20+171205667942400000000*x^18+364531591892000000000\
0*x^16-19364814976000000000*x^14-83146370093696000000000*x^12+44037274582912\
0000000000*x^10-185751056108800000000000*x^8-4475633545843200000000000*x^6+3\
257702207385600000000000*x^4+17645886956672000000000000*x^2+8822943478336000\
000000000
Common denominator of the automorphisms:
3433518984991695507534530334164769559998755208808804918753902484663157614201\
083849441676800000000000

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.