Group GAP4(64,18)

Name: (C8 x C2) : C4
Maximal quotient:GAP4(32,2)
Real polynomial:
x^64-384*x^62+70272*x^60-8156160*x^58+674106624*x^56-42228781056*x^54+208377\
1920384*x^52-83100197486592*x^50+2726725227979986*x^48-74563540245638208*x^4\
6+1714961359563134400*x^44-33393204721960367616*x^42+552914126639905387392*x\
^40-7805834926199908190208*x^38+94071095284540904921088*x^36-967579207469487\
422521344*x^34+8481251238272571972101697*x^32-63176464076603500103774400*x^3\
0+398246378406338260380946752*x^28-2112369841199958361057774080*x^26+9357849\
836954381693050773120*x^24-34295598360550441326094755840*x^22+10273379463820\
2986902957455360*x^20-247700617933221893947520139264*x^18+471292421234114565\
899600118768*x^16-689498711652178781024253737472*x^14+7489174148857666425099\
42461952*x^12-574825732666885253798328102912*x^10+28942561904917946578421836\
4928*x^8-84322391375607482946417868800*x^6+10874856093526016110681178112*x^4\
-159368512545498193638064128*x^2+610537866539716988838144
Common denominator of the automorphisms:
37319877980256658468116337994882529872640
Complex polynomial:
x^64+384*x^62+70272*x^60+8156160*x^58+674106624*x^56+42228781056*x^54+208377\
1920384*x^52+83100197486592*x^50+2726725227979986*x^48+74563540245638208*x^4\
6+1714961359563134400*x^44+33393204721960367616*x^42+552914126639905387392*x\
^40+7805834926199908190208*x^38+94071095284540904921088*x^36+967579207469487\
422521344*x^34+8481251238272571972101697*x^32+63176464076603500103774400*x^3\
0+398246378406338260380946752*x^28+2112369841199958361057774080*x^26+9357849\
836954381693050773120*x^24+34295598360550441326094755840*x^22+10273379463820\
2986902957455360*x^20+247700617933221893947520139264*x^18+471292421234114565\
899600118768*x^16+689498711652178781024253737472*x^14+7489174148857666425099\
42461952*x^12+574825732666885253798328102912*x^10+28942561904917946578421836\
4928*x^8+84322391375607482946417868800*x^6+10874856093526016110681178112*x^4\
+159368512545498193638064128*x^2+610537866539716988838144
Common denominator of the automorphisms:
37319877980256658468116337994882529872640

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.