Database KnotInfo
This repository contains a snapshot of the complete content of the KnotInfo and LinkInfo databases. Each database is provided as a Python list of Python dictionaries. The data are from the corresponding Excel spreadsheets available on the KnotInfo and LinkInfo homepages on the date of release.
Please note that the databases contain columns that are not visible on the web pages (see also the Release Notes 2023.4.8). The validity of the information in such columns cannot be guaranteed. Also, there are plans to remove them in the future.
This repository was created as a part of the SageMath interface to these databases (see the corresponding section of the SageMath reference manual or this tutorial) but can also be used independently.
In Python, it can be used as follows:
>>> from database_knotinfo import link_list
>>> k = link_list()
>>> len(k)
2979
>>> names_k = k[0]
>>> type(names_k)
<type 'dict'>
>>> names_k['braid_index']
'Braid Index'
>>> k2 = k[2]
>>> k2['name']
'3_1'
>>> k2['braid_index']
'2'
>>> k2['homfly_polynomial']
'(2*v^2-v^4)+(v^2)*z^2'
>>> l = link_list(proper_links=True)
>>> len(l)
4189
>>> names_l = l[0]
>>> type(names_l)
<type 'dict'>
>>> names_l['braid_notation']
'Braid Notation'
>>> l2 = l[2]
>>> l2['name']
'L2a1{1}'
>>> l2['homflypt_polynomial']
'v/z-v^3/z + v*z'
To build a new release, the CSV files can be upgraded with the
create_knotinfo_csv.py script. A cronjob
executes it on the first day of every month and creates a new
release if differences are detected.
Installation
Python
pip install database_knotinfo
or
pip install database_knotinfo==2021.9.1
if you want to install a former version.
SageMath
Since Release 9.4, the database can be installed in Sage by:
sage -i database_knotinfo
This will contain integration with the knot and link functionality of Sage. Sage 9.4 ships the PyPI release 0.7 of the database. To use a more recent one you have to execute
sage -package update database_knotinfo <version>
before the installation command above, for example:
sage -package update database_knotinfo 2021.9.1
This procedure can be used to upgrade to the next version, as well. But note that there is a bug in 9.4 concerning such upgrades which will be fixed in SageMath 9.5 (see Trac ticket #32099). A workaround for 9.4 can be perfomed in a Sage session as follows:
sage: from sage.databases.knotinfo_db import KnotInfoDataBase
sage: KnotInfoDataBase().reset_filecache()
If you upgrade to a version of the database which is ahead of the version the SageMath release is build on, you should keep in mind, that the examples shown in the Sage reference manual may be outdated.
In case the installation via sage -i is failing on your system you can try:
sage -pip install database_knotinfo
or
sage -pip install database_knotinfo==0.7
for the version compatible the the current Sage release.
Versioning
Version numbers are automatically generated every month if differences to the original databases are detected. They follow the scheme
<year>.<month>.<day>
Help
If you note a divergence between this repository and the original data in case the current release is older than a month please create an issue about that.
Credits
Many thanks to Chuck Livingston and Allison Moore for making the data available. For further acknowledgments see the corresponding homepages.
1 maintainer
Download files
Download the file for your platform. If you're not sure which to choose, learn more about installing packages.
Source Distribution
Built Distribution
Filter files by name, interpreter, ABI, and platform.
If you're not sure about the file name format, learn more about wheel file names.
Copy a direct link to the current filters
File details
Details for the file database_knotinfo-2026.9.1.tar.gz.
File metadata
- Download URL: database_knotinfo-2026.9.1.tar.gz
- Upload date:
- Size: 16.8 MB
- Tags: Source
- Uploaded using Trusted Publishing? No
- Uploaded via:
twine/6.2.0 CPython/3.9.25
File hashes
| Algorithm | Hash digest | |
|---|---|---|
| SHA256 |
68a92a292d31c34dd8779e2a79551c87cb6637e4424cf88f90a1c74e3c36c4a5
|
|
| MD5 |
46bfbe0f2d8f5aeeb410dbe8143adc85
|
|
| BLAKE2b-256 |
d84f1c566b90bb1c9ebbff107db8ecf3a2bf202280382d1944ff0269dd389225
|
File details
Details for the file database_knotinfo-2026.9.1-py3-none-any.whl.
File metadata
- Download URL: database_knotinfo-2026.9.1-py3-none-any.whl
- Upload date:
- Size: 17.4 MB
- Tags: Python 3
- Uploaded using Trusted Publishing? No
- Uploaded via:
twine/6.2.0 CPython/3.9.25
File hashes
| Algorithm | Hash digest | |
|---|---|---|
| SHA256 |
70d021f11a38306b219318464810bf28cd728b6e4ecf892401c2d1ad35ba75ab
|
|
| MD5 |
65cd3da4888845e87bdbe19c27fd3b78
|
|
| BLAKE2b-256 |
ebf6aaf9bfd63fcfe2b9bb231d3ff2ffa2823181a7034d075bd8b5c1fbe54956
|
