Group GAP4(64,11)
Name: (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2)
Maximal quotients:GAP4(32,8) GAP4(32,11)
Real polynomial:
x^64-448*x^62+92736*x^60-11811744*x^58+1040272744*x^56-67502476832*x^54+3358\
095483120*x^52-131581102913120*x^50+4139999805128992*x^48-106092799889340096\
*x^46+2238020739042415712*x^44-39172372007291970944*x^42+5722045624536067156\
96*x^40-7003585463783242212032*x^38+72001774552289149320032*x^36-62235224569\
3811172396864*x^34+4520531617834536898420232*x^32-27539054895400905424384768\
*x^30+140207474488773023972907008*x^28-593397228948024614272286848*x^26+2072\
438324368098148286515488*x^24-5914945815372842074023585920*x^22+136229202162\
36948348941892032*x^20-24912132441278691393765769600*x^18+354323879595334280\
79491067520*x^16-38174493499785503702056938240*x^14+301148413327699306039410\
72768*x^12-16641493219094843511200936448*x^10+6072760726403696810356842432*x\
^8-1348011356637324755972623104*x^6+159634632049169064358241664*x^4-76907372\
78740913125053696*x^2+22889099043871765253136
Common denominator of the automorphisms:
1456516077112554734979341271379429006606453979151867055120696798909931890516\
335253238932752949151986447884133522665052037634048
Complex polynomial:
x^64+448*x^62+92736*x^60+11811744*x^58+1040272744*x^56+67502476832*x^54+3358\
095483120*x^52+131581102913120*x^50+4139999805128992*x^48+106092799889340096\
*x^46+2238020739042415712*x^44+39172372007291970944*x^42+5722045624536067156\
96*x^40+7003585463783242212032*x^38+72001774552289149320032*x^36+62235224569\
3811172396864*x^34+4520531617834536898420232*x^32+27539054895400905424384768\
*x^30+140207474488773023972907008*x^28+593397228948024614272286848*x^26+2072\
438324368098148286515488*x^24+5914945815372842074023585920*x^22+136229202162\
36948348941892032*x^20+24912132441278691393765769600*x^18+354323879595334280\
79491067520*x^16+38174493499785503702056938240*x^14+301148413327699306039410\
72768*x^12+16641493219094843511200936448*x^10+6072760726403696810356842432*x\
^8+1348011356637324755972623104*x^6+159634632049169064358241664*x^4+76907372\
78740913125053696*x^2+22889099043871765253136
Common denominator of the automorphisms:
1456516077112554734979341271379429006606453979151867055120696798909931890516\
335253238932752949151986447884133522665052037634048
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.