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← Revision 15 as of 2019-04-06 06:18:49 ⇥
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| {{{ | {{{#!sagecell |
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| == 3D Groebner fan browser == | == 3D Groebner fan browser FIXME == |
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| {{{ | {{{#!sagecell |
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| print x.ieqs() + [[1,1,0,0,0],[1,0,1,0,0],[1,0,0,1,0],[1,0,0,0,1]] print x.linearities() print "" |
print(x.ieqs() + [[1,1,0,0,0],[1,0,1,0,0],[1,0,0,1,0],[1,0,0,0,1]]) print(x.linearities()) print("") |
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| degs = [[max([q.degree(avar) for q in b]) for avar in our_vars] for b in a_gf.reduced_groebner_bases()] maxdegs = [max([float(q[i]) for q in degs]) for i in range(len(our_vars))] |
degs = [[max(q.degree(avar) for q in b) for avar in our_vars] for b in a_gf.reduced_groebner_bases()] maxdegs = [max(float(q[i]) for q in degs) for i in range(len(our_vars))] |
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| color_list = [tuple([c[i]/max(c) for i in range(3)]) for c in color_list] | color_list = [tuple(c[i]/max(c) for i in range(3)) for c in color_list] |
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| print cone_data._rays | print(cone_data._rays) |
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| print id_gens | print(id_gens) |
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| == Numerical Solutions of Polynomial Systems with PHCpack == | == Numerical Solutions of Polynomial Systems with PHCpack FIXME == |
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Sage Interactions - Algebra
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Contents
Groebner fan of an ideal
by Marshall Hampton; (needs sage-2.11 or higher, with gfan-0.3 interface)
3D Groebner fan browser FIXME
by Marshall Hampton
Numerical Solutions of Polynomial Systems with PHCpack FIXME
by Marshall Hampton; requires phcpack optional package (PHCpack written by Jan Verschelde). The example below is a two-parameter deformation of the cyclic-6 problem. Solution paths are tracked through the parameter homotopy.
