Group GAP4(64,2)
Name: C8 x C8
Maximal quotient:GAP4(32,3)
Real polynomial:
x^64-512*x^62+124928*x^60-19333120*x^58+2130509824*x^56-177951735808*x^54+11\
707996962816*x^52-622548530233344*x^50+27236498206864899*x^48-99305923477300\
9536*x^46+30453817058086300160*x^44-790650097392213475328*x^42+1745512536834\
1473476608*x^40-328567283599528397111296*x^38+5279616075043703105781760*x^36\
-72406471365605473992572928*x^34+846258903623091098930912259*x^32-8405574785\
258952129802666752*x^30+70658732550771992681673481216*x^28-49986327146871188\
6056750743552*x^26+2954272116853427881677049528320*x^24-14452527135049763191\
016883486720*x^22+57848490255769626243290407895040*x^20-18672041898153937989\
5311458631680*x^18+477224349359537214225401694217729*x^16-943681277891760892\
045397641592960*x^14+1401211663588763638807309569497600*x^12-150156228105696\
1760341721838960640*x^10+1099881344990939211588227807395840*x^8-509365965471\
377353244085742206976*x^6+132387149168213677956501969305600*x^4-158459130212\
03646746209810382848*x^2+493913441947433678533042438144
Common denominator of the automorphisms:
595001382312734565613525724904651971322598903647760318464
Complex polynomial:
x^64+512*x^62+124928*x^60+19333120*x^58+2130509824*x^56+177951735808*x^54+11\
707996962816*x^52+622548530233344*x^50+27236498206864899*x^48+99305923477300\
9536*x^46+30453817058086300160*x^44+790650097392213475328*x^42+1745512536834\
1473476608*x^40+328567283599528397111296*x^38+5279616075043703105781760*x^36\
+72406471365605473992572928*x^34+846258903623091098930912259*x^32+8405574785\
258952129802666752*x^30+70658732550771992681673481216*x^28+49986327146871188\
6056750743552*x^26+2954272116853427881677049528320*x^24+14452527135049763191\
016883486720*x^22+57848490255769626243290407895040*x^20+18672041898153937989\
5311458631680*x^18+477224349359537214225401694217729*x^16+943681277891760892\
045397641592960*x^14+1401211663588763638807309569497600*x^12+150156228105696\
1760341721838960640*x^10+1099881344990939211588227807395840*x^8+509365965471\
377353244085742206976*x^6+132387149168213677956501969305600*x^4+158459130212\
03646746209810382848*x^2+493913441947433678533042438144
Common denominator of the automorphisms:
595001382312734565613525724904651971322598903647760318464
Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Sat, 16 Jun 2018 12:23:16 +0200
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