One Hat Cyber Team
Your IP :
216.73.216.14
Server IP :
194.44.31.54
Server :
Linux zen.imath.kiev.ua 4.18.0-553.77.1.el8_10.x86_64 #1 SMP Fri Oct 3 14:30:23 UTC 2025 x86_64
Server Software :
Apache/2.4.37 (Rocky Linux) OpenSSL/1.1.1k
PHP Version :
5.6.40
Buat File
|
Buat Folder
Eksekusi
Dir :
~
/
usr
/
share
/
Macaulay2
/
PHCpack
/
examples
/
View File Name :
_mixed__Volume.out
-- -*- M2-comint -*- hash: 10385799651477782049 i1 : R = CC[x,y]; i2 : f = { x^3*y^5 + y^2 + x^2*y, x*y + x^2 - 1}; i3 : I=ideal f; o3 : Ideal of R i4 : dim I -- warning: experimental computation over inexact field begun -- results not reliable (one warning given per session) o4 = 0 i5 : degree I o5 = 10 i6 : m = mixedVolume(f) -- counts the number of complex roots in the torus (without zero components) o6 = 8 i7 : (mv,sv) = mixedVolume(f,StableMixedVolume=>true) o7 = (8, 10) o7 : Sequence i8 : (mv,q,qsols) = mixedVolume(f,StartSystem=>true); i9 : q --let's take a look at the start system: 3 5 2 o9 = {(- .205377 - .978683*ii)x y + (.943327 - .331864*ii)x y, (.673112 + ------------------------------------------------------------------------ 2 .739541*ii)x - .911067 - .412259*ii} o9 : List i10 : qsols --and its solutions: o10 = {{.979319-.202321*ii, .930645-.365923*ii}, {-.979319+.202321*ii, ----------------------------------------------------------------------- .916812+.399319*ii}, {.979319-.202321*ii, .365923+.930645*ii}, ----------------------------------------------------------------------- {-.979319+.202321*ii, -.399319+.916812*ii}, {.979319-.202321*ii, ----------------------------------------------------------------------- -.930645+.365923*ii}, {-.979319+.202321*ii, -.916812-.399319*ii}, ----------------------------------------------------------------------- {.979319-.202321*ii, -.365923-.930645*ii}, {-.979319+.202321*ii, ----------------------------------------------------------------------- .399319-.916812*ii}} o10 : List i11 :