Group GAP4(64,80)

Name: (C2 x (C4 : C4)) : C2
Maximal quotients:GAP4(32,29) GAP4(32,30) GAP4(32,34)
Real polynomial:

x^64-400*x^62+73856*x^60-8376608*x^58+655337872*x^56-37657100544*x^54+165267\
8322624*x^52-56876888791680*x^50+1563779130357408*x^48-34813687119044352*x^4\
6+633701490173456640*x^44-9496354326456582144*x^42+117685449947363260928*x^4\
0-1209084540307803063296*x^38+10304660482841852360704*x^36-72773440814177104\
685056*x^34+424670564810312180327168*x^32-2038458900146305933307904*x^30+799\
8071004352337692299264*x^28-25443049052811033424822272*x^26+6496705136134916\
6458232832*x^24-131562059505007549840244736*x^22+208314353828788231231537152\
*x^20-253625568736032855131848704*x^18+232702296593144153298608128*x^16-1568\
77433055720273464393728*x^14+75158848435241419450155008*x^12-244335168488152\
16237871104*x^10+5043785564352519222525952*x^8-601005925779640807587840*x^6+\
36509735112231560675328*x^4-935397682733616463872*x^2+5951500145509072896

Common denominator of the automorphisms:

5100580805640360532837545296058390050780624432440817416801063154021551799847\
29106574257865035518762815586304

Complex polynomial:

x^64-544*x^60+133600*x^56-15362432*x^52+1063629248*x^48-24111301120*x^44+899\
10104576*x^40+2217597478912*x^36+8355226207744*x^32+8870389915648*x^28+14385\
61673216*x^24-1543123271680*x^20+272289087488*x^16-15731130368*x^12+54722560\
0*x^8-8912896*x^4+65536

Common denominator of the automorphisms:

2456235652220150874112

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
Copyleft © 2002-2008 the PARI group.