Group GAP4(64,197)

Name: C2 x C4 x Q8
Maximal quotients:GAP4(32,26) GAP4(32,45) GAP4(32,47) GAP4(32,48)
Real polynomial:

x^64-384*x^62+70272*x^60-8156160*x^58+674102718*x^56-42227468640*x^54+208356\
3246240*x^52-83079314323200*x^50+2725249360862691*x^48-74485200165019488*x^4\
6+1711718357759388576*x^44-33285894065337288960*x^42+550027869600462523452*x\
^40-7742011110918269548608*x^38+92901923914414898860992*x^36-949754631370626\
822283776*x^34+8254615857996823049253573*x^32-60773391329915796754797504*x^3\
0+377043926921823456932410944*x^28-1957379736111579995014033920*x^26+8425383\
879188142719178239484*x^24-29721178142137449228216655296*x^22+84662118081447\
686549410886208*x^20-191144295656323695833702856192*x^18+3340785678682141724\
71433379939*x^16-438708443487267761719474332960*x^14+41668938987588024523404\
1677792*x^12-272553210647849757003860466432*x^10+114953501080403757410454000\
702*x^8-28309945267168267252761332640*x^6+3387329345825211502426898016*x^4-1\
19698363166075989840938240*x^2+1119378617373604450184001

Common denominator of the automorphisms:

267719221105050457392150299782026641400

Complex polynomial:

x^64-882*x^56+777843*x^48-685986084*x^40+604976720805*x^32-55564872804*x^24+\
5103427923*x^16-468730962*x^8+43046721

Common denominator of the automorphisms:

158770090608064200

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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