Group GAP4(64,26)

Name: C16 x C4
Maximal quotients:GAP4(32,3) GAP4(32,16)
Real polynomial:
x^64+x^63-63*x^62-63*x^61+1890*x^60+1889*x^59-35932*x^58-35873*x^57+486040*x\
^56+484387*x^55-4978721*x^54-4949460*x^53+40135734*x^52+39768391*x^51-261246\
752*x^50-257766664*x^49+1397807321*x^48+1371959281*x^47-6226966599*x^46-6072\
592044*x^45+23309841945*x^44+22555379660*x^43-73804236025*x^42-70749474744*x\
^41+198539093721*x^40+188202565640*x^39-455028804195*x^38-425623922026*x^37+\
889677342053*x^36+819085074021*x^35-1483995160988*x^34-1340695894068*x^33+21\
09175557378*x^32+1863115564196*x^31-2548162251332*x^30-2191164889937*x^29+26\
07347572507*x^28+2170826915603*x^27-2248482881977*x^26-1800453072820*x^25+16\
23839385039*x^24+1240017586340*x^23-974322294815*x^22-701888983499*x^21+4809\
38970942*x^20+322236753466*x^19-192943461475*x^18-117975485920*x^17+61970951\
664*x^16+33690203948*x^15-15636753497*x^14-7283849110*x^13+3024537754*x^12+1\
143070297*x^11-433711310*x^10-122105234*x^9+43881500*x^8+7935450*x^7-2885456\
*x^6-241332*x^5+105056*x^4+160*x^3-1408*x^2+64*x+1
Common denominator of the automorphisms:
1
Complex polynomial:
x^64+x^63-x^59-x^58+x^54+x^53-x^49-x^48-x^47-x^46+x^44+x^43+x^42+x^41-x^39-x\
^38-x^37-x^36+x^34+x^33+x^32+x^31+x^30-x^28-x^27-x^26-x^25+x^23+x^22+x^21+x^\
20-x^18-x^17-x^16-x^15+x^11+x^10-x^6-x^5+x+1
Common denominator of the automorphisms:
1

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.