marchwicka/periodicity_of_links
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Maria Marchwicka 2018-10-10 16:34:21 +02:00
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README.md
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@ -17,25 +17,23 @@ For a given list of knots [encoded in PD-code](http://katlas.org/wiki/Planar_Dia
-----
We tested all knots up to 15 crossings and for periods 3, 5, 7, 9, 11, 13.
## Running the script
## Running the script
### Prerequisites
- [SageMath 8.1](http://www.sagemath.org).
- For Przytycki's criterion the module [libhomfly](https://github.com/miguelmarco/libhomfly/blob/master/README.md) is needed to calculate HOMFLYPT polynomial. There is also possibility to read saved polynomials from a file (file `homflypt.input` in the repository contains HOMFLYPTY polynomials for some knots).
### Input data
Files with PD-codes for all knots up to 15 crossing are available in the repository (`knots_11_15.txt` and `knots_3_10.txt`) and should be saved in the same folder as the script or a path in the `class MySettings` should be adjusted. Similarly, if other input files will be used, settings have to be changed. A correction in parsing or reading functions may be also necessary (`check_11_to_15()`, `check_up_to_10()`, `parse_pd_code()`, `parse_knot_name()`).
### Running in terminal
The script should be run in terminal: `sage periodicity.sage`.
@ -47,11 +45,21 @@ All results will be saved in a file `results.out`. A line, for example `12a100,3
## Authors
## Credits
* **[Wojciech Politarczyk](politarw@amu.edu.pl)** - *implementation of Przytycki's criterion*
* **[Maria Marchwicka](maria.marchwicka@amu.edu.pl)** - *integration and rest of the code*
* **[Maciej Borodzik](mcboro@mimuw.edu.pl)** - *algorithm and tests*
* **Maria Marchwicka**
* **Wojciech Politarczyk**
## License
This project is licensed under the GNU General Public License - see the [LICENSE.md](LICENSE.md) file for details.
## Contact
For any questions or remarks please contact us by e-mail message to [maria.marchwicka@amu.edu.pl](maria.marchwicka@amu.edu.pl). We would be happy to hear from you.
Feel free to ask for any help in case you would like to reuse our script.