Group GAP4(64,13)
Name: (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2)
Maximal quotients:GAP4(32,8) GAP4(32,9) GAP4(32,10)
Real polynomial:
x^64-448*x^62+92064*x^60-11529504*x^58+986258280*x^56-61238506560*x^54+28640\
60344880*x^52-103375776606144*x^50+2928127607771744*x^48-65857885410961280*x\
^46+1186028790328620000*x^44-17201957830301514816*x^42+201709990049922126192\
*x^40-1916544174635723652992*x^38+14768416132350990722144*x^36-9226294273282\
7444178944*x^34+466618306060708494055944*x^32-1905518453342634969769728*x^30\
+6259523540457294042619264*x^28-16455840740396670263489664*x^26+343887153917\
70404211531040*x^24-56623622665120046692973824*x^22+726193242331761720171143\
04*x^20-71443900213244819791399680*x^18+52831599934451179003593088*x^16-2856\
3463825588372098156032*x^14+10864663517978366963024256*x^12-2753040604225754\
422069504*x^10+429557749447368777893056*x^8-36795172575210659939840*x^6+1415\
998428715531771264*x^4-12727414817823512576*x^2+531726889113616
Common denominator of the automorphisms:
6639079907160268757346822241587750792082254357132988765068185961813593806022\
6278448343086060839285434971348375484819162194964808970240
Complex polynomial:
x^64+448*x^62+92064*x^60+11529504*x^58+986258280*x^56+61238506560*x^54+28640\
60344880*x^52+103375776606144*x^50+2928127607771744*x^48+65857885410961280*x\
^46+1186028790328620000*x^44+17201957830301514816*x^42+201709990049922126192\
*x^40+1916544174635723652992*x^38+14768416132350990722144*x^36+9226294273282\
7444178944*x^34+466618306060708494055944*x^32+1905518453342634969769728*x^30\
+6259523540457294042619264*x^28+16455840740396670263489664*x^26+343887153917\
70404211531040*x^24+56623622665120046692973824*x^22+726193242331761720171143\
04*x^20+71443900213244819791399680*x^18+52831599934451179003593088*x^16+2856\
3463825588372098156032*x^14+10864663517978366963024256*x^12+2753040604225754\
422069504*x^10+429557749447368777893056*x^8+36795172575210659939840*x^6+1415\
998428715531771264*x^4+12727414817823512576*x^2+531726889113616
Common denominator of the automorphisms:
6639079907160268757346822241587750792082254357132988765068185961813593806022\
6278448343086060839285434971348375484819162194964808970240
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.