The Take Home Database: Difference between revisions

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The first few invariants (lexicographically) of [[10_71]]:
The first few invariants (lexicographically) of [[10_71]]:
<pre>
<pre>
[drorbn@katlas ~/TakeHomeDatabase]$ zgrep 10_71 Rolfsen.rdf.gz | head
[drorbn@katlas ~/TakeHomeDatabase]$ zgrep knot:10_71 Rolfsen.rdf.gz | head
<knot:10_70> <invariant:Next_Knot> "10_71" .
<knot:10_71> <invariant:2nd_AlexanderIdeal> "<math>\\{1\\}</math>" .
<knot:10_71> <invariant:2nd_AlexanderIdeal> "<math>\\{1\\}</math>" .
<knot:10_71> <invariant:3-Genus> "3" .
<knot:10_71> <invariant:3-Genus> "3" .
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<knot:10_71> <invariant:Conway_Notation> "<nowiki>[22,21,2+]</nowiki>" .
<knot:10_71> <invariant:Conway_Notation> "<nowiki>[22,21,2+]</nowiki>" .
<knot:10_71> <invariant:ConwayNotation> "<nowiki>[22,21,2+]</nowiki>" .
<knot:10_71> <invariant:ConwayNotation> "<nowiki>[22,21,2+]</nowiki>" .
<knot:10_71> <invariant:Conway_Polynomial> "<math>-z^6+z^4+z^2+1</math>" .
</pre>
</pre>

Revision as of 11:00, 18 July 2007

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Use the information here at your own risk. You can check the history of the page to see how recently it has been worked on, and who has been contributing. Feel free to remove this notice if it seems appropriate!

All knot data on the Knot Atlas is now available as a take-home database file in compressed RDF (Resource Description Framework) format. Load it and use it as follows.

Loading

Pick up the full untreated unsorted monster katlas.rdf.gz and save it somewhere where you have a lot of space; it is almost 50MB compressed and almost 400MB uncompressed.

Alternatively, pick up one of the sorted smaller pieces:

Using From a Linux Shell

The Jones polynomial of 10_71:

[drorbn@katlas ~/TakeHomeDatabase]$ zgrep 10_71 Rolfsen.rdf.gz | grep Jones_Polynomial
<knot:10_71> <invariant:Jones_Polynomial> "<math>-q^5+3 q^4-6 q^3+10 q^2-12 q+13-12 q^{-1} +10 q^{-2} -6 q^{-3} +3 q^{-4} - q^{-5} </math>" .

The first few invariants (lexicographically) of 10_71:

[drorbn@katlas ~/TakeHomeDatabase]$ zgrep knot:10_71 Rolfsen.rdf.gz | head
<knot:10_71> <invariant:2nd_AlexanderIdeal> "<math>\\{1\\}</math>" .
<knot:10_71> <invariant:3-Genus> "3" .
<knot:10_71> <invariant:Alexander_Polynomial> "<math>-t^3+7 t^2-18 t+25-18 t^{-1} +7 t^{-2} - t^{-3} </math>" .
<knot:10_71> <invariant:BraidIndex> "5" .
<knot:10_71> <invariant:BraidWord> "<math>\\textrm{BR}(5,\\{-1,-1,2,-1,-3,2,2,4,-3,4\\})</math>" .
<knot:10_71> <invariant:Bridge_Index> "3" .
<knot:10_71> <invariant:ConcordanceGenus> "<math>3</math>" .
<knot:10_71> <invariant:Conway_Notation> "[22,21,2+]" .
<knot:10_71> <invariant:ConwayNotation> "[22,21,2+]" .
<knot:10_71> <invariant:Conway_Polynomial> "<math>-z^6+z^4+z^2+1</math>" .