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. We tested all knots up to 15 crossings and for periods 3, 5, 7, 9, 11, 13.
## Running the script
## Running the script
### Prerequisites ### Prerequisites
- [SageMath 8.1](http://www.sagemath.org). - [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). - 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 ### 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()`). 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 ### Running in terminal
The script should be run in terminal: `sage periodicity.sage`. 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 ## License
This project is licensed under the GNU General Public License - see the [LICENSE.md](LICENSE.md) file for details. 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.