#17030: Knot Theory as a part of GSoC 2014.
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Reporter: amitjamadagni | Owner: amitjamadagni
Type: task | Status: needs_work
Priority: major | Milestone: sage-6.4
Component: algebraic | Resolution:
topology | Merged in:
Keywords: | Reviewers: Miguel Marco
Authors: Amit Jamadagni, | Work issues:
Miguel Marco | Commit:
Report Upstream: N/A | 29be8b00dd778425bd16cb3064dba381b8015672
Branch: | Stopgaps:
u/mmarco/ticket/17030 |
Dependencies: |
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Comment (by amitjamadagni):
Replying to [comment:18 mmarco]:
> There is something working wrong in the following case:
>
> {{{
> sage: L=Link([[1, 4, 2, 5], [7, 10, 8, 11], [3, 9, 4, 8], [9, 3, 10, 2],
[5, 12, 6, 1], [11, 6, 12, 7]])
> sage: L
> <repr(<sage.knots.link.Link at 0x7f41771c8a28>) failed: Exception:
Invalid Input>
> }}}
>
> It gets an error when trying to get the connected components, which in
turn tries to convert it to braid (which is probably not a good idea, it
would be wiser to compute the components directly from the PD_code, since
we might me loosing something in the conversion PD<->braid).
>
> In any case, this example fails in the conversion to braid:
>
> {{{
> sage: L.braid()
> ...
> Exception: Invalid Input
> }}}
>
> Please go through it and debug.
> }}}
I have worked along on the debug and here are the results :
sage: L =
Link([[1,5,2,4],[7,11,8,10],[3,8,4,9],[9,2,10,3],[5,1,6,12],[11,7,12,6]])
sage: L.braid()
s0*s1^-1*s2*s1^-1*s0^-1*s1^-1*s2^-1*s3^-1*s2*s1^-1*s0*s2*s1^-1
--
Ticket URL: <http://trac.sagemath.org/ticket/17030#comment:30>
Sage <http://www.sagemath.org>
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