Group GAP4(64,165)

Name: (Q8 : C4) : C2
Maximal quotients:GAP4(32,30) GAP4(32,41) GAP4(32,43)
Real polynomial:

x^64-448*x^62+92624*x^60-11753728*x^58+1027176808*x^56-65759762432*x^54+3203\
133757712*x^52-121721057276672*x^50+3671460376367980*x^48-88980496882444608*\
x^46+1747838974154358288*x^44-27997153317710701824*x^42+36724243039748145644\
0*x^40-3955461150963093419648*x^38+35036565211851404761168*x^36-255385530284\
956525190912*x^34+1531635708201621652914326*x^32-7551567665046650382007360*x\
^30+30562891690484632025170288*x^28-101315657097872589001321216*x^26+2742686\
73196142582085907352*x^24-603868221720345059390540544*x^22+10756037096262295\
93121842992*x^20-1538993062702994468373334272*x^18+1752385552070988238006722\
700*x^16-1568221397798732993278701760*x^14+1084491799671223440249911984*x^12\
-566100529503988185524688640*x^10+215625559143502659458751304*x^8-5690036958\
1524638618734208*x^6+9533054216401225102410608*x^4-853554929054841116714240*\
x^2+25449609706009527353329

Common denominator of the automorphisms:

1132844808915367406440740720381016473814019852097521482326537605577406219507\
1585810035684357912186971173577767309692502016

Complex polynomial:

x^64-147784*x^56-6049069796*x^48+989778093892616*x^40+16865353263407682502*x\
^32+35339995061587948588808*x^24+24618560956077309191373340*x^16+44877981995\
03684145214904*x^8+33232930569601

Common denominator of the automorphisms:

218695594669043648725545363734858370376955935064064

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.