THIRD-PARTY NOTICES — knot
===========================

This site bundles or uses the following third-party work. The site's own code is MIT
licensed (Copyright (c) 2026 ramenprotokol).

-------------------------------------------------------------------------------
three.js 0.186.1
-------------------------------------------------------------------------------
Bundled (minified) into assets/main-J2DJRRAJ.js.
Source: https://github.com/mrdoob/three.js  (npm package "three", version 0.186.1)
Licence: MIT

The MIT License

Copyright © 2010-2026 three.js authors

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.

-------------------------------------------------------------------------------
Fonts (loaded from Google Fonts at run time, not bundled)
-------------------------------------------------------------------------------
Barlow Condensed — Copyright 2017 The Barlow Project Authors
  https://github.com/jpt/barlow — SIL Open Font License, Version 1.1 — https://openfontlicense.org/open-font-license-official-text/
The font is loaded by the visitor's browser from Google Fonts (fonts.googleapis.com /
fonts.gstatic.com); no font files are included in this site's files.

Source Serif 4 — Copyright 2014-2021 Adobe (http://www.adobe.com/), with Reserved Font Name 'Source'
  https://github.com/adobe-fonts/source-serif — SIL Open Font License, Version 1.1 — https://openfontlicense.org/open-font-license-official-text/
The font is loaded by the visitor's browser from Google Fonts (fonts.googleapis.com /
fonts.gstatic.com); no font files are included in this site's files.

IBM Plex Mono — Copyright © 2017 IBM Corp. with Reserved Font Name "Plex"
  https://github.com/IBM/plex — SIL Open Font License, Version 1.1 — https://openfontlicense.org/open-font-license-official-text/
The font is loaded by the visitor's browser from Google Fonts (fonts.googleapis.com /
fonts.gstatic.com); no font files are included in this site's files.

-------------------------------------------------------------------------------
Knot table data
-------------------------------------------------------------------------------
The Alexander polynomials of the knots up to 7 crossings (and the three composite knots
listed) are mathematical facts, typed in by hand. No database files, tables or text were
copied into this site. Source:

  D. Rolfsen, Knots and Links, Publish or Perish (1976), Appendix C (the knot table),
    as reproduced in the Knot Atlas: https://katlas.org/wiki/The_Rolfsen_Knot_Table

See also (a standard reference; its data was not consulted for these values):

  C. Livingston and A. H. Moore, KnotInfo: Table of Knot Invariants, knotinfo.org,
    September 26, 2026 (citation in the form KnotInfo requests).

Neither the Knot Atlas nor KnotInfo publishes a licence for its data; both are cited here.
The project's unit tests (not part of this site) recompute every polynomial from the
Knot Atlas PD codes, which are quoted in the test file with attribution.