Group GAP4(64,107)
Name: C2 x (C8 : C4)
Maximal quotients:GAP4(32,14) GAP4(32,23) GAP4(32,39) GAP4(32,41)
Real polynomial:
x^64-448*x^62+95648*x^60-12951680*x^58+1248864008*x^56-91272354880*x^54+5254\
367992160*x^52-244457519196800*x^50+9357488399442470*x^48-298495748350362080\
*x^46+8008020529266157904*x^44-181860286393360323392*x^42+351135744971214607\
4712*x^40-57792992377443368539200*x^38+811736677513039255611872*x^36-9726726\
864876605355271808*x^34+99270483982473218422958699*x^32-86035974385764160201\
6263584*x^30+6304265996807703530970401520*x^28-38823542042702536076471150784\
*x^26+199390311048646025197106430472*x^24-845663479647080107400963352896*x^2\
2+2925578501090802358968358588256*x^20-8128356973204395006147281700480*x^18+\
17784252219034646467984519244006*x^16-29878028642102147229202501350560*x^14+\
37284982841137048735841866631280*x^12-33025585808105911244473117848000*x^10+\
19432703537318262001125828710400*x^8-6822872659171617722607855488000*x^6+115\
8190273201751026326865552000*x^4-51938418795211405917691840000*x^2+665815110\
750026582485800625
Common denominator of the automorphisms:
7190729067738546590132674082016136170000
Complex polynomial:
x^64+448*x^62+95648*x^60+12951680*x^58+1248864008*x^56+91272354880*x^54+5254\
367992160*x^52+244457519196800*x^50+9357488399442470*x^48+298495748350362080\
*x^46+8008020529266157904*x^44+181860286393360323392*x^42+351135744971214607\
4712*x^40+57792992377443368539200*x^38+811736677513039255611872*x^36+9726726\
864876605355271808*x^34+99270483982473218422958699*x^32+86035974385764160201\
6263584*x^30+6304265996807703530970401520*x^28+38823542042702536076471150784\
*x^26+199390311048646025197106430472*x^24+845663479647080107400963352896*x^2\
2+2925578501090802358968358588256*x^20+8128356973204395006147281700480*x^18+\
17784252219034646467984519244006*x^16+29878028642102147229202501350560*x^14+\
37284982841137048735841866631280*x^12+33025585808105911244473117848000*x^10+\
19432703537318262001125828710400*x^8+6822872659171617722607855488000*x^6+115\
8190273201751026326865552000*x^4+51938418795211405917691840000*x^2+665815110\
750026582485800625
Common denominator of the automorphisms:
7190729067738546590132674082016136170000
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.