Template:Link Page
From Knot Atlas
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[[Image:Data:Link Page/Previous Knot.gif|80px]] |
[[Image:Data:Link Page/Next Knot.gif|80px]] |
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| Image:Link Page.gif (Knotscape image) | See the full Thistlethwaite Link Table (up to 11 crossings).
Visit [{{{KnotilusURL}}} Link Page's page] at Knotilus. Visit Link Page's page at the original Knot Atlas. |
Link Presentations
[edit Notes on Link Page's Link Presentations]
| Planar diagram presentation | Data:Link Page/PD Presentation |
| Gauss code | Data:Link Page/Gauss Code |
| A Braid Representative | {{{braid_table}}} |
| A Morse Link Presentation | Image:Link Page ML.gif |
Polynomial invariants
Khovanov Homology
| The coefficients of the monomials trqj are shown, along with their alternating sums χ (fixed j, alternation over r). The squares with yellow highlighting are those on the "critical diagonals", where j−2r = s + 1 or j−2r = s−1, where s = Data:Link Page/Signature is the signature of Link Page. Nonzero entries off the critical diagonals (if any exist) are highlighted in red. | Data:Link Page/KhovanovTable |
| Integral Khovanov Homology
(db, data source) | Data:Link Page/Integral Khovanov Homology |
Computer Talk
Much of the above data can be recomputed by Mathematica using the packageKnotTheory`. See A Sample KnotTheory` Session.Modifying This Page
| Read me first: Modifying Knot Pages
See/edit the Link Page master template (intermediate). See/edit the Link_Splice_Base (expert). Back to the top. |
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