Group GAP4(66,3)

Name: D66
Maximal quotients:GAP4(6,1) GAP4(22,1)
Real polynomial:
x^66-360*x^64+55458*x^62-4915713*x^60+285317769*x^58-11676385845*x^56+353399\
780304*x^54-8176330643049*x^52+148100205586527*x^50-2137685864466373*x^48+24\
916721217021723*x^46-236879197155698400*x^44+1850376888722934191*x^42-119396\
25723063403200*x^40+63864217952039843838*x^38-283752989915724107087*x^36+104\
7916771786057910085*x^34-3214791099084167761320*x^32+8177500647068977392908*\
x^30-17194681906677106791483*x^28+29755760869664280674586*x^26-4213348820728\
9493651555*x^24+48453756512654428554567*x^22-44831755026342402589080*x^20+32\
980824499631138705729*x^18-19004263683797783507037*x^16+84143104473477659485\
86*x^14-2791615573185862522241*x^12+670891337381272930836*x^10-1113478440336\
49524390*x^8+11874117257591054159*x^6-718147632074965740*x^4+183810902474449\
44*x^2-3483253457713
Common denominator of the automorphisms:
5189012354960858259276908483437120614389822799827416007188021042917684563263\
4284069673584717183040102185161555073200777504192105063531839349207534056770\
1740362685435714867567254135280402239299309663008711509159869886133832794878\
315911952146507703326040188401848937188294122822609218750
Complex polynomial:
x^66+74667*x^60+3560508468*x^54+69940258763724*x^48+1223723982248212878*x^42\
+308677215250602251370*x^36+10244595260569544417412*x^30-3363641456081749264\
51236*x^24+9293161732978391016783417*x^18+3026460370947849584447413059*x^12-\
4100230838338505366484633984*x^6+79393774254817361497279377408
Common denominator of the automorphisms:
8956025188793308869041285000977230781681966723155011315718594968876729915387\
41248000000

Database of Galois polynomials by Bill Allombert and Igor Schein.
Last Modified: Thu, 19 Dec 2013 12:12:28 +0100
Copyleft © 2002-2008 the PARI group.