#17298: Adding Graded/Weighted Hilbert Series Functionality to Sage
-------------------------------------+-------------------------------------
Reporter: john_perry | Owner:
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.4
Component: commutative | Resolution:
algebra | Merged in:
Keywords: Hilbert Series, | Reviewers: Travis Scrimshaw
weighted, singular | Work issues:
Authors: John Perry | Commit:
Report Upstream: N/A | 40d897b5c3419c8de07978be965e6c3e9c078b98
Branch: | Stopgaps:
public/ticket/17298-graded_hilbert_series|
Dependencies: |
-------------------------------------+-------------------------------------
Comment (by tscrim):
Fixed the c/p error. However the traceback tells you where the error
occurred:
{{{
sage: P.<x,y,z> = PolynomialRing(QQ)
sage: I = Ideal([x^3*y^2 + 3*x^2*y^2*z + y^3*z^2 + z^5])
sage: I.hilbert_numerator(grading=5)
---------------------------------------------------------------------------
TypeError Traceback (most recent call
last)
<ipython-input-3-49f8689d83b8> in <module>()
----> 1 I.hilbert_numerator(grading=Integer(5))
/home/travis/sage/local/lib/python2.7/site-
packages/sage/rings/polynomial/multi_polynomial_ideal.pyc in
__call__(self, *args, **kwds)
603 if not R.base_ring().is_field():
604 raise ValueError("Coefficient ring must be a field for
function '%s'."%(self.f.__name__))
--> 605 return self.f(self._instance, *args, **kwds)
606
607 require_field = RequireField
/home/travis/sage/local/lib/python2.7/site-
packages/sage/rings/polynomial/multi_polynomial_ideal.pyc in
hilbert_numerator(self, singular, grading)
2824 if grading is not None:
2825 if not isinstance(grading, (list, tuple)) or any(a not
in ZZ for a in grading):
-> 2826 raise TypeError("Grading must be a list or a tuple
of integers.")
2827
2828 hs = hilb(gb, 1, tuple(grading), attributes={gb:
{'isSB': 1}})
TypeError: Grading must be a list or a tuple of integers.
}}}
I believe the error message should be concise and not repeat information
(plus I think most error messages in Sage/python don't tell you this info
and rely on the traceback). However if you feel strongly about having
`Hilbert series` into the error message, I'll change it.
--
Ticket URL: <http://trac.sagemath.org/ticket/17298#comment:23>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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