Group GAP4(64,14)
Name: (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2)
Maximal quotients:GAP4(32,7) GAP4(32,10)
Real polynomial:
x^64-340*x^62+48572*x^60-3895380*x^58+198969339*x^56-6955211360*x^54+1742417\
47736*x^52-3229335080360*x^50+45310021381747*x^48-489686421626020*x^46+41312\
06018326972*x^44-27489405496400820*x^42+145427126264807113*x^40-615356492193\
661400*x^38+2091722719716182816*x^36-5728835569343956000*x^34+12664285772955\
811536*x^32-22612439816282622720*x^30+32600241964624038144*x^28-378960397232\
03031040*x^26+35428082062282738688*x^24-26532017342675189760*x^22+1582874827\
9266705408*x^20-7466488032762920960*x^18+2757301438989402112*x^16-7869384107\
17675520*x^14+170652855518101504*x^12-27485109527511040*x^10+318481304544870\
4*x^8-253394346311680*x^6+12858863648768*x^4-365072220160*x^2+4294967296
Common denominator of the automorphisms:
6092317686961652290953394570811648020310667423135836104033687912057387418659\
763826059342123436229554869363908731207680
Complex polynomial:
x^64+340*x^62+48572*x^60+3895380*x^58+198969339*x^56+6955211360*x^54+1742417\
47736*x^52+3229335080360*x^50+45310021381747*x^48+489686421626020*x^46+41312\
06018326972*x^44+27489405496400820*x^42+145427126264807113*x^40+615356492193\
661400*x^38+2091722719716182816*x^36+5728835569343956000*x^34+12664285772955\
811536*x^32+22612439816282622720*x^30+32600241964624038144*x^28+378960397232\
03031040*x^26+35428082062282738688*x^24+26532017342675189760*x^22+1582874827\
9266705408*x^20+7466488032762920960*x^18+2757301438989402112*x^16+7869384107\
17675520*x^14+170652855518101504*x^12+27485109527511040*x^10+318481304544870\
4*x^8+253394346311680*x^6+12858863648768*x^4+365072220160*x^2+4294967296
Common denominator of the automorphisms:
6092317686961652290953394570811648020310667423135836104033687912057387418659\
763826059342123436229554869363908731207680
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.