Group GAP4(64,252)

Name: C2 x C2 x Q16
Maximal quotients:GAP4(32,41) GAP4(32,46)
Real polynomial:

x^64-504*x^62+111720*x^60-14521248*x^58+1246978558*x^56-75628215432*x^54+338\
2308561072*x^52-114965197024104*x^50+3036473716742361*x^48-63369401802281064\
*x^46+1058391733741111392*x^44-14286773625342602328*x^42+1570378740846069519\
82*x^40-1413555245480737072224*x^38+10462774440850464102216*x^36-63858940359\
993635416056*x^34+321916077425815859710612*x^32-1341037747559866343737176*x^\
30+4614083528415054669077256*x^28-13090935128397106025866464*x^26+3054088278\
9848444628411342*x^24-58348626450035347510387128*x^22+9077415350143994232075\
0432*x^20-114133903436113172031687624*x^18+114848118341719271174091321*x^16-\
91314562047499167699788424*x^14+56416504230231248109191472*x^12-264908622719\
89586599754472*x^10+9172559183045642174643678*x^8-2243131706299432994807328*\
x^6+362410734861302949841320*x^4-34333648565807647879704*x^2+143056869024198\
5328321

Common denominator of the automorphisms:

21727059744233537794383962081193033249267023115418146603283136256

Complex polynomial:

x^64-44100*x^56+7434787500*x^48-8581970250000*x^40+27715673306250000*x^32-69\
51395902500000000*x^24+4877964078750000000000*x^16-23436548100000000000000*x\
^8+430467210000000000000000

Common denominator of the automorphisms:

547686183492325823400000000000000000

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.