Group GAP4(64,47)

Name: C16 : C4
Maximal quotients:GAP4(32,14) GAP4(32,18) GAP4(32,20)
Real polynomial:
x^64-336*x^62+52136*x^60-4976192*x^58+328246704*x^56-15935892192*x^54+592003\
352752*x^52-17270965928896*x^50+402913101764936*x^48-7613928602885568*x^46+1\
17628926065916832*x^44-1495340020672917760*x^42+15709430978777048128*x^40-13\
6733539873194375552*x^38+986989377475323080384*x^36-5905982983429266734848*x\
^34+29245037274149367163920*x^32-119466530055936522528256*x^30+4007834850371\
28579427328*x^28-1097460463664337286174720*x^26+2433448406080661758141952*x^\
24-4324737124886790064156672*x^22+6079840783310009060499456*x^20-66473357251\
44829040443392*x^18+5528221389386212124645376*x^16-3395213722077209660260352\
*x^14+1479073669644101143560192*x^12-431903028700848618864640*x^10+778467497\
80702821711872*x^8-7622099532619941937152*x^6+323788661144336203776*x^4-2558\
543593776087040*x^2+5381332782874624
Common denominator of the automorphisms:
1350985454797896602573657678656484976888827933074085655433735499176812284115\
2206303464903359754094958589933137725079137298836562842533034111123380541550\
0675338114671882440540160
Complex polynomial:
x^64+336*x^62+52136*x^60+4976192*x^58+328246704*x^56+15935892192*x^54+592003\
352752*x^52+17270965928896*x^50+402913101764936*x^48+7613928602885568*x^46+1\
17628926065916832*x^44+1495340020672917760*x^42+15709430978777048128*x^40+13\
6733539873194375552*x^38+986989377475323080384*x^36+5905982983429266734848*x\
^34+29245037274149367163920*x^32+119466530055936522528256*x^30+4007834850371\
28579427328*x^28+1097460463664337286174720*x^26+2433448406080661758141952*x^\
24+4324737124886790064156672*x^22+6079840783310009060499456*x^20+66473357251\
44829040443392*x^18+5528221389386212124645376*x^16+3395213722077209660260352\
*x^14+1479073669644101143560192*x^12+431903028700848618864640*x^10+778467497\
80702821711872*x^8+7622099532619941937152*x^6+323788661144336203776*x^4+2558\
543593776087040*x^2+5381332782874624
Common denominator of the automorphisms:
1350985454797896602573657678656484976888827933074085655433735499176812284115\
2206303464903359754094958589933137725079137298836562842533034111123380541550\
0675338114671882440540160

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.