#15064: More vectors in matrix kernel
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Reporter: okazymyrov | Owner:
Type: enhancement | Status: new
Priority: trivial | Milestone: sage-5.12
Component: linear algebra | Resolution:
Keywords: kernel matrix | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by okazymyrov):
I have the following output (Mac OS X 10.8.4):
{{{#!python
sage: K
Vector space of degree 15 and dimension 5 over Finite Field of size 2
Basis matrix:
[1 0 0 0 0 0 1 1 0 0 0 1 0 0 1]
[0 1 0 0 0 0 0 0 0 1 0 0 1 1 1]
[0 0 1 0 0 1 0 1 1 0 0 0 0 1 1]
[0 0 0 1 0 1 1 1 1 1 0 0 1 1 1]
[0 0 0 0 1 1 1 0 1 1 1 0 1 0 1]
sage: K.list()
[(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0),
(1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1),
(0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1),
(1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0),
(0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1),
(1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0),
(0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0),
(1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1),
(0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1),
(1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0),
(0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0),
(1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1),
(0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0),
(1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1),
(0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1),
(1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0),
(0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1),
(1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0),
(0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0),
(1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1),
(0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0),
(1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1),
(0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1),
(1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0),
(0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0),
(1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1),
(0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1),
(1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0),
(0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1),
(1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0),
(0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0),
(1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1)]
}}}
I guess that "K.list()" gives all linear combinations of the basis.
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Ticket URL: <http://trac.sagemath.org/ticket/15064#comment:5>
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