Sage Interactions - Algebra

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Groebner fan of an ideal

by Marshall Hampton; (needs sage-2.11 or higher, with gfan-0.3 interface) 

@interact
def gfan_browse(p1 = input_box('x^3+y^2',type = str, label='polynomial 1: '), p2 = input_box('y^3+z^2',type = str, label='polynomial 2: '), p3 = input_box('z^3+x^2',type = str, label='polynomial 3: ')):
    R.<x,y,z> = PolynomialRing(QQ,3)
    i1 = ideal(R(p1),R(p2),R(p3))
    gf1 = i1.groebner_fan()
    testr = gf1.render()    
    html('Groebner fan of the ideal generated by: ' + str(p1) + ', ' + str(p2) + ', ' + str(p3))
    show(testr, axes = False, figsize=[8,8*(3^(.5))/2])

attachment:gfan_interact.png