The Take Home Database: Difference between revisions
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Pick up the full untreated unsorted monster {{Katlas Link|Data/katlas.rdf.gz|katlas.rdf.gz}} and save it somewhere where you have a lot of space; it is almost 50MB compressed and almost 400MB uncompressed. |
Pick up the full untreated unsorted monster {{Katlas Link|Data/katlas.rdf.gz|katlas.rdf.gz}} and save it somewhere where you have a lot of space; it is almost 50MB compressed and almost 400MB uncompressed. |
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Alternatively, pick up one of the sorted smaller pieces |
Alternatively, pick up one of the sorted smaller pieces: |
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*{{Katlas Link|Data/Rolfsen.rdf.gz|Rolfsen.rdf.gz}} (1MB/5MB) - Data from [[The Rolfsen Knot Table]]. |
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==Using From a Linux Shell== |
==Using From a Linux Shell== |
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The Jones polynomial of [[10_71]]: |
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<pre> |
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[drorbn@katlas ~/TakeHomeDatabase]$ zgrep 10_71 Rolfsen.rdf.gz | grep Jones_Polynomial |
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<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>" . |
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</pre> |
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The first few invariants (lexicographically) of [[10_71]]: |
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<pre> |
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[drorbn@katlas ~/TakeHomeDatabase]$ zgrep 10_71 Rolfsen.rdf.gz | head |
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<knot:10_70> <invariant:Next_Knot> "10_71" . |
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<knot:10_71> <invariant:2nd_AlexanderIdeal> "<math>\\{1\\}</math>" . |
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<knot:10_71> <invariant:3-Genus> "3" . |
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<knot:10_71> <invariant:Alexander_Polynomial> "<math>-t^3+7 t^2-18 t+25-18 t^{-1} +7 t^{-2} - t^{-3} </math>" . |
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<knot:10_71> <invariant:BraidIndex> "5" . |
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<knot:10_71> <invariant:BraidWord> "<math>\\textrm{BR}(5,\\{-1,-1,2,-1,-3,2,2,4,-3,4\\})</math>" . |
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<knot:10_71> <invariant:Bridge_Index> "3" . |
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<knot:10_71> <invariant:ConcordanceGenus> "<math>3</math>" . |
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<knot:10_71> <invariant:Conway_Notation> "<nowiki>[22,21,2+]</nowiki>" . |
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<knot:10_71> <invariant:ConwayNotation> "<nowiki>[22,21,2+]</nowiki>" . |
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</pre> |
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Revision as of 09:58, 18 July 2007
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:
- Rolfsen.rdf.gz (1MB/5MB) - Data from The Rolfsen Knot Table.
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 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: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+]" .
