├── .gitignore ├── 1_Creating_a_subsurface_model.ipynb ├── 2_Modeling_the_2D_heat_equation.ipynb ├── 3_Simulating_a_crosshole_traveltime_experiment.ipynb ├── 4_Traveltime_inversion.ipynb ├── 5_ERT_field_data_inversion.ipynb ├── 6_Inversion_with_any_forward_operator.ipynb ├── LICENSE ├── README.md ├── data ├── beach.ohm ├── geometry.poly ├── mesh.bms └── traveltime.dat └── environment.yml /.gitignore: -------------------------------------------------------------------------------- 1 | # Byte-compiled / optimized / DLL files 2 | __pycache__/ 3 | *.py[cod] 4 | *$py.class 5 | 6 | # C extensions 7 | *.so 8 | 9 | # Distribution / packaging 10 | .Python 11 | build/ 12 | develop-eggs/ 13 | dist/ 14 | downloads/ 15 | eggs/ 16 | .eggs/ 17 | lib/ 18 | lib64/ 19 | parts/ 20 | sdist/ 21 | var/ 22 | wheels/ 23 | share/python-wheels/ 24 | *.egg-info/ 25 | .installed.cfg 26 | *.egg 27 | MANIFEST 28 | 29 | # PyInstaller 30 | # Usually these files are written by a python script from a template 31 | # before PyInstaller builds the exe, so as to inject date/other infos into it. 32 | *.manifest 33 | *.spec 34 | 35 | # Installer logs 36 | pip-log.txt 37 | pip-delete-this-directory.txt 38 | 39 | # Unit test / coverage reports 40 | htmlcov/ 41 | .tox/ 42 | .nox/ 43 | .coverage 44 | .coverage.* 45 | .cache 46 | nosetests.xml 47 | coverage.xml 48 | *.cover 49 | *.py,cover 50 | .hypothesis/ 51 | .pytest_cache/ 52 | cover/ 53 | 54 | # Translations 55 | *.mo 56 | *.pot 57 | 58 | # Django stuff: 59 | *.log 60 | local_settings.py 61 | db.sqlite3 62 | db.sqlite3-journal 63 | 64 | # Flask stuff: 65 | instance/ 66 | .webassets-cache 67 | 68 | # Scrapy stuff: 69 | .scrapy 70 | 71 | # Sphinx documentation 72 | docs/_build/ 73 | 74 | # PyBuilder 75 | .pybuilder/ 76 | target/ 77 | 78 | # Jupyter Notebook 79 | .ipynb_checkpoints 80 | 81 | # IPython 82 | profile_default/ 83 | ipython_config.py 84 | 85 | # pyenv 86 | # For a library or package, you might want to ignore these files since the code is 87 | # intended to run in multiple environments; otherwise, check them in: 88 | # .python-version 89 | 90 | # pipenv 91 | # According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control. 92 | # However, in case of collaboration, if having platform-specific dependencies or dependencies 93 | # having no cross-platform support, pipenv may install dependencies that don't work, or not 94 | # install all needed dependencies. 95 | #Pipfile.lock 96 | 97 | # PEP 582; used by e.g. github.com/David-OConnor/pyflow 98 | __pypackages__/ 99 | 100 | # Celery stuff 101 | celerybeat-schedule 102 | celerybeat.pid 103 | 104 | # SageMath parsed files 105 | *.sage.py 106 | 107 | # Environments 108 | .env 109 | .venv 110 | env/ 111 | venv/ 112 | ENV/ 113 | env.bak/ 114 | venv.bak/ 115 | 116 | # Spyder project settings 117 | .spyderproject 118 | .spyproject 119 | 120 | # Rope project settings 121 | .ropeproject 122 | 123 | # mkdocs documentation 124 | /site 125 | 126 | # mypy 127 | .mypy_cache/ 128 | .dmypy.json 129 | dmypy.json 130 | 131 | # Pyre type checker 132 | .pyre/ 133 | 134 | # pytype static type analyzer 135 | .pytype/ 136 | 137 | # Cython debug symbols 138 | cython_debug/ -------------------------------------------------------------------------------- /LICENSE: -------------------------------------------------------------------------------- 1 | Apache License 2 | Version 2.0, January 2004 3 | http://www.apache.org/licenses/ 4 | 5 | TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 6 | 7 | 1. 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4 | 5 |
6 | 7 | The [pyGIMLi tutorial at Transform 21](http://schedule.softwareunderground.org/) 8 | 9 | Instructors: 10 | [Florian Wagner](https://github.com/florian-wagner) 1, [Carsten Rücker](https://github.com/carsten-forty2) 2, [Thomas Günther](https://github.com/halbmy)3, [Andrea Balza](https://github.com/andieie)1 11 | 12 | > 1 RWTH Aachen University, Applied Geophysics and Geothermal Energy, Aachen, Germany 13 | > 2 Berlin University of Technology, Department of Applied Geophysics, Berlin, Germany 14 | > 3 Leibniz Institute for Applied Geophysics, Hannover, Germany 15 | 16 | | | Info | 17 | | --------------------: | :-------------------------------------------------------------------------------------------------------------------------------- | 18 | | When | Monday, April 19 • 8:00 - 10:00 UTC | 19 | | Slack (Q&A) | [Software Underground](https://softwareunderground.org/) channel [#t21-mon-pygimli](https://swung.slack.com/archives/C01T5V5S9EV) | 20 | | Recorded video | https://youtu.be/w3pu0H3dXe8 | 21 | | pyGIMLi documentation | https://www.pygimli.org/documentation.html | 22 | 23 | ## About 24 | 25 | pyGIMLi is an open-source library for modeling and inversion in geophysics. This tutorial is particularly suited for new users. We will start from scratch and: 26 | 27 | - Create a subsurface geometry and explore the pyGIMLi meshtools 28 | - Simulate the stationary 2D heat equation 29 | - Simulate synthetic crosshole traveltime measurements 30 | - Invert seismic traveltime and field ERT data 31 | - Show how to build inversions with own forward operators (e.g., from other packages) 32 | 33 | ## Table of contents 34 | 35 | - [Tutorial on geophysical modeling & inversion with pyGIMLi](#tutorial-on-geophysical-modeling--inversion-with-pygimli) 36 | - [About](#about) 37 | - [Table of contents](#table-of-contents) 38 | - [BEFORE THE TUTORIAL](#before-the-tutorial) 39 | - [Setup instructions](#setup-instructions) 40 | - [Step 1: Prerequisites](#step-1-prerequisites) 41 | - [Step 2: Download material for the tutorial](#step-2-download-material-for-the-tutorial) 42 | - [Step 3: Install the tutorial environment](#step-3-install-the-tutorial-environment) 43 | - [Step 4: Start JupyterLab](#step-4-start-jupyterlab) 44 | - [Schedule](#schedule) 45 | 46 | ## Foreword 47 | 48 | This tutorial was presented on April 19, 2021 at Transform, but you can still follow it on YouTube and ask questions. To do so please: 49 | 50 | 1. Sign up for the [Software Underground Slack](https://softwareunderground.org/slack) 51 | 2. Join the channel [#pygimli](https://swung.slack.com/archives/C01US4T522X) channel to interact with other users and developers and ask questions with regard to the tutorial/software. 52 | 3. **Install the pyGIMLi conda environment** as described below. 53 | 54 | ## Setup instructions 55 | 56 | > ### Quick setup for experienced users 57 | > 58 | > If you are working on Mac or Linux and have worked with conda and have git installed, you can copy & paste these lines separately. For all others, we recommend to carefully read the descriptions of individual steps below. 59 | > 60 | > ```bash 61 | > git clone https://github.com/gimli-org/transform2021 62 | > cd transform2021 63 | > conda env create 64 | > conda activate pg-transform 65 | > python -c "import pygimli; pygimli.test(show=False, onlydoctests=True)" 66 | > jupyter lab 67 | > ``` 68 | 69 | To start the tutorial setup, please follow the next steps: 70 | 71 | ### Step 1: Prerequisites 72 | 73 | There are a few things you'll need to follow the tutorial: 74 | 75 | 1. A working Python installation (Anaconda or Miniconda). For details on how to install Anaconda, we refer to: https://docs.anaconda.com/anaconda/install/ 76 | 2. A modern web browser that works with JupyterLab or Jupyter Notebook (Internet explorer will not work) 77 | 3. Intermediate experience in Python programming (Python, numpy, matplotlib, jupyter) 78 | 4. Background on geophysical modeling and inversion 79 | 80 | ### Step 2: Download material for the tutorial 81 | 82 | - Windows: [Download the course material](https://github.com/gimli-org/transform2021/archive/refs/heads/main.zip) and unzip it a folder of your choice. 83 | - Mac/Linux: You can do the same as above, or alternatively open a terminal, navigate to a folder of your choice, and execute `git clone https://github.com/gimli-org/transform2021`. 84 | 85 | ### Step 3: Install the tutorial environment 86 | 87 | 1. Open a terminal (Linux & Mac) or the Anaconda Powershell Prompt (Windows). Navigate to the folder from step 2 (using the `cd` command) and type: 88 | 89 | ``` 90 | conda env create 91 | ``` 92 | 93 | 2. Activate the environment in the terminal by typing: 94 | 95 | ``` 96 | conda activate pg-transform 97 | ``` 98 | 99 | 3. To test if everything works correctly you can do the following: 100 | 101 | ``` 102 | python -c "import pygimli; pygimli.test(show=False, onlydoctests=True)" 103 | ``` 104 | 105 | If none of these commands gives an error, then your installation is working fine. 106 | If you get any errors, please let us know on Slack at [#t21-mon-pygimli](https://swung.slack.com/archives/C01T5V5S9EV). 107 | 108 | ### Step 4: Start JupyterLab 109 | 110 | 1. **Windows users:** Make sure you set a default browser that is **not Internet Explorer**. 111 | 2. Activate the conda environment: `conda activate pg-transform` 112 | 3. Start JupyterLab: `jupyter lab` 113 | 4. Jupyter should open in your default web browser. We'll start from here in the 114 | tutorial and create a new notebook together. 115 | 116 | ## Schedule 117 | 118 | > **Note**: Click on the notebook number to get to the respective notebook and the minutes to get to the respective position in the tutorial video. 119 | 120 | | Notebook | Topic | Time | 121 | | -------------------------------------------------------------------------------------------------------------- | --------------------------------------------------------------- | -------------------------------------------------------------- | 122 | | | Intro (main features, conda installer, API documentation) | [9 min.](https://youtu.be/w3pu0H3dXe8?t=10) | 123 | | [1](https://github.com/gimli-org/transform2021/blob/main/1_Creating_a_subsurface_model.ipynb) | Creating a subsurface model (_2D meshtools_) | [22 min.](https://www.youtube.com/watch?v=w3pu0H3dXe8&t=570s) | 124 | | [2](https://github.com/gimli-org/transform2021/blob/main/2_Modeling_the_2D_heat_equation.ipynb) | Modeling the 2D heat equation (_equation level_) | [17 min.](https://www.youtube.com/watch?v=w3pu0H3dXe8&t=1870s) | 125 | | [3](https://github.com/gimli-org/transform2021/blob/main/3_Simulating_a_crosshole_traveltime_experiment.ipynb) | Simulating a crosshole traveltime experiment (_modeling level_) | [15 min.](https://www.youtube.com/watch?v=w3pu0H3dXe8&t=2899s) | 126 | | | 10-MINUTE BREAK | 7 min. | 127 | | [4](https://github.com/gimli-org/transform2021/blob/main/4_Traveltime_inversion.ipynb) | Traveltime inversion (_Traveltime method manager_) | [10 min.](https://www.youtube.com/watch?v=w3pu0H3dXe8&t=3900s) | 128 | | [5](https://github.com/gimli-org/transform2021/blob/main/5_ERT_field_data_inversion.ipynb) | ERT field data inversion (_ERT method manager_) | [17 min.](https://www.youtube.com/watch?v=w3pu0H3dXe8&t=5100s) | 129 | | [6](https://github.com/gimli-org/transform2021/blob/main/6_Inversion_with_any_forward_operator.ipynb) | Inversion with any forward operator | [17 min.](https://www.youtube.com/watch?v=w3pu0H3dXe8&t=6068s) | 130 | | | Homepage with examples, papers, contribution guide | [5 min.](https://www.youtube.com/watch?v=w3pu0H3dXe8&t=6585s) | 131 | -------------------------------------------------------------------------------- /data/beach.ohm: -------------------------------------------------------------------------------- 1 | 81 2 | # x z 3 | 0.00 -0.14 4 | 2.00 0.06 5 | 4.00 0.16 6 | 6.00 0.25 7 | 8.00 0.33 8 | 10.00 0.40 9 | 12.00 0.48 10 | 14.00 0.61 11 | 16.00 0.74 12 | 18.00 0.81 13 | 20.00 0.82 14 | 22.00 0.84 15 | 24.00 0.90 16 | 26.00 0.97 17 | 28.00 0.99 18 | 30.00 0.98 19 | 32.00 1.01 20 | 34.00 1.05 21 | 36.00 1.09 22 | 38.00 1.12 23 | 40.00 1.15 24 | 42.00 1.17 25 | 44.00 1.19 26 | 46.00 1.20 27 | 48.00 1.23 28 | 50.00 1.28 29 | 52.00 1.34 30 | 54.00 1.41 31 | 56.00 1.48 32 | 58.00 1.55 33 | 60.00 1.59 34 | 62.00 1.59 35 | 64.00 1.57 36 | 66.00 1.53 37 | 68.00 1.49 38 | 70.00 1.49 39 | 72.00 1.57 40 | 74.00 1.71 41 | 76.00 1.86 42 | 78.00 1.97 43 | 80.00 1.96 44 | 82.00 1.83 45 | 84.00 1.65 46 | 86.00 1.52 47 | 88.00 1.51 48 | 90.00 1.57 49 | 92.00 1.64 50 | 94.00 1.69 51 | 96.00 1.75 52 | 98.00 1.83 53 | 100.00 1.90 54 | 102.00 1.96 55 | 104.00 1.98 56 | 106.00 1.97 57 | 108.00 1.94 58 | 110.00 1.93 59 | 112.00 1.97 60 | 114.00 2.03 61 | 116.00 2.08 62 | 118.00 2.15 63 | 120.00 2.25 64 | 122.00 2.37 65 | 124.00 2.47 66 | 126.00 2.54 67 | 128.00 2.62 68 | 130.00 2.71 69 | 132.00 2.83 70 | 134.00 2.95 71 | 136.00 3.12 72 | 138.00 3.34 73 | 140.00 3.58 74 | 142.00 3.87 75 | 144.00 4.25 76 | 146.00 4.72 77 | 148.00 5.20 78 | 150.00 5.60 79 | 152.00 5.95 80 | 154.00 6.38 81 | 156.00 6.91 82 | 158.00 7.46 83 | 160.00 7.86 84 | 1478 85 | # a b m n u i 86 | 25 34 30 31 3.81250000000000e-03 1.99605000000000e-01 87 | 25 34 29 30 3.03415000000000e-03 1.99605000000000e-01 88 | 16 25 21 22 3.37122000000000e-03 1.99618000000000e-01 89 | 16 25 19 20 3.19072000000000e-03 1.99618000000000e-01 90 | 16 25 23 24 1.28223000000000e-02 1.99618000000000e-01 91 | 16 25 18 19 4.87451000000000e-03 1.99618000000000e-01 92 | 7 16 12 13 2.82343000000000e-03 1.99618000000000e-01 93 | 7 16 11 12 2.20684000000000e-03 1.99618000000000e-01 94 | 7 16 9 10 4.32146000000000e-03 1.99618000000000e-01 95 | 24 33 29 30 3.54106000000000e-03 1.99613000000000e-01 96 | 24 33 27 28 3.38071000000000e-03 1.99613000000000e-01 97 | 15 24 20 21 3.14346000000000e-03 1.99619000000000e-01 98 | 15 24 19 20 2.78183000000000e-03 1.99619000000000e-01 99 | 15 24 18 19 3.15012000000000e-03 1.99619000000000e-01 100 | 15 24 22 23 1.26355000000000e-02 1.99619000000000e-01 101 | 15 24 17 18 4.73985000000000e-03 1.99619000000000e-01 102 | 15 24 21 22 5.25895000000000e-03 1.99619000000000e-01 103 | 15 24 16 17 1.15329000000000e-02 1.99619000000000e-01 104 | 6 15 12 13 4.00852000000000e-03 1.99622000000000e-01 105 | 6 15 11 12 3.31393000000000e-03 1.99622000000000e-01 106 | 6 15 8 9 4.38282000000000e-03 1.99622000000000e-01 107 | 32 41 39 40 6.75082000000000e-01 1.16358000000000e-01 108 | 32 41 38 39 4.83396000000000e-03 1.16358000000000e-01 109 | 32 41 36 37 2.01228000000000e-03 1.16358000000000e-01 110 | 32 41 35 36 2.34597000000000e-03 1.16358000000000e-01 111 | 23 32 30 31 8.55696000000000e-02 1.99616000000000e-01 112 | 23 32 28 29 3.70829000000000e-03 1.99616000000000e-01 113 | 23 32 27 28 3.05842000000000e-03 1.99616000000000e-01 114 | 14 23 20 21 4.74794000000000e-03 1.99621000000000e-01 115 | 14 23 19 20 3.13587000000000e-03 1.99621000000000e-01 116 | 14 23 17 18 3.08508000000000e-03 1.99621000000000e-01 117 | 14 23 21 22 1.32358000000000e-02 1.99621000000000e-01 118 | 14 23 16 17 4.60833000000000e-03 1.99621000000000e-01 119 | 14 23 15 16 1.07930000000000e-02 1.99621000000000e-01 120 | 5 14 9 10 2.56880000000000e-03 1.99619000000000e-01 121 | 5 14 7 8 5.34821000000000e-03 1.99619000000000e-01 122 | 5 14 6 7 1.42633000000000e-02 1.99619000000000e-01 123 | 31 40 38 39 7.82026000000000e-02 1.99595000000000e-01 124 | 31 40 37 38 6.89270000000000e-03 1.99595000000000e-01 125 | 31 40 36 37 4.02818000000000e-03 1.99595000000000e-01 126 | 31 40 35 36 3.56388000000000e-03 1.99595000000000e-01 127 | 31 40 34 35 3.87957000000000e-03 1.99595000000000e-01 128 | 31 40 33 34 6.19093000000000e-03 1.99595000000000e-01 129 | 31 40 32 33 8.66873000000000e-02 1.99595000000000e-01 130 | 22 31 29 30 5.20161000000000e-02 1.99621000000000e-01 131 | 5 41 9 13 2.42328000000000e-03 1.25480000000000e-01 132 | 4 40 24 28 2.01489000000000e-03 1.99667000000000e-01 133 | 4 40 20 24 1.63608000000000e-03 1.99667000000000e-01 134 | 4 40 12 16 1.96924000000000e-03 1.99667000000000e-01 135 | 3 39 31 35 5.33529000000000e-03 1.99673000000000e-01 136 | 29 38 32 33 4.05821000000000e-03 1.99619000000000e-01 137 | 21 30 27 28 5.77073000000000e-03 1.99621000000000e-01 138 | 2 38 10 14 2.01768000000000e-03 1.99695000000000e-01 139 | 14 32 16 18 6.45200000000000e-03 1.99629000000000e-01 140 | 5 14 10 11 2.89912000000000e-03 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1.99663000000000e-01 442 | 10 28 14 16 2.73441000000000e-03 1.99640000000000e-01 443 | 2 20 16 18 6.88261000000000e-03 1.99663000000000e-01 444 | 10 28 16 18 2.03701000000000e-03 1.99640000000000e-01 445 | 20 38 24 26 3.10360000000000e-03 1.99653000000000e-01 446 | 12 30 24 26 3.36990000000000e-03 1.99641000000000e-01 447 | 5 41 25 29 1.28918000000000e-03 1.25480000000000e-01 448 | 20 38 26 28 2.24579000000000e-03 1.99653000000000e-01 449 | 25 43 31 33 2.50083000000000e-03 1.99635000000000e-01 450 | 20 38 28 30 2.10802000000000e-03 1.99653000000000e-01 451 | 25 43 33 35 2.34543000000000e-03 1.99635000000000e-01 452 | 21 57 25 29 1.94466000000000e-03 8.93298000000000e-02 453 | 19 28 22 23 3.09281000000000e-03 1.99628000000000e-01 454 | 11 20 17 18 4.91323000000000e-03 1.99624000000000e-01 455 | 7 16 14 15 1.18455000000000e-02 1.99618000000000e-01 456 | 3 12 7 8 2.74144000000000e-03 1.99623000000000e-01 457 | 3 21 5 7 5.10429000000000e-03 1.99656000000000e-01 458 | 35 53 37 39 8.45234000000000e-03 1.92017000000000e-01 459 | 3 21 7 9 3.54270000000000e-03 1.99656000000000e-01 460 | 6 15 9 10 2.83900000000000e-03 1.99622000000000e-01 461 | 3 21 9 11 2.31690000000000e-03 1.99656000000000e-01 462 | 41 59 45 47 1.62420000000000e-03 7.37273000000000e-02 463 | 3 21 11 13 1.24687000000000e-03 1.99656000000000e-01 464 | 39 57 43 45 1.45475000000000e-03 7.20368000000000e-02 465 | 3 21 17 19 6.83994000000000e-03 1.99656000000000e-01 466 | 21 39 25 27 3.12383000000000e-03 1.99631000000000e-01 467 | 21 39 27 29 2.17082000000000e-03 1.99631000000000e-01 468 | 22 40 30 32 2.14205000000000e-03 1.99631000000000e-01 469 | 12 30 22 24 2.18007000000000e-03 1.99641000000000e-01 470 | 1 37 25 29 2.16102000000000e-03 1.99700000000000e-01 471 | 21 39 31 33 2.51642000000000e-03 1.99631000000000e-01 472 | 3 57 9 15 1.55800000000000e-03 9.04282000000000e-02 473 | 9 45 25 29 1.84269000000000e-03 1.99659000000000e-01 474 | 29 47 31 33 8.66952000000000e-03 1.99616000000000e-01 475 | 21 39 33 35 3.63199000000000e-03 1.99631000000000e-01 476 | 4 22 12 14 1.73668000000000e-03 1.99655000000000e-01 477 | 29 47 33 35 3.52295000000000e-03 1.99616000000000e-01 478 | 21 39 35 37 9.31686000000000e-03 1.99631000000000e-01 479 | 4 22 14 16 1.96415000000000e-03 1.99655000000000e-01 480 | 29 47 35 37 2.72363000000000e-03 1.99616000000000e-01 481 | 39 57 41 43 3.95326000000000e-03 7.20368000000000e-02 482 | 31 49 41 43 3.06956000000000e-03 1.99612000000000e-01 483 | 39 57 45 47 1.11106000000000e-03 7.20368000000000e-02 484 | 31 49 45 47 1.05842000000000e-02 1.99612000000000e-01 485 | 39 57 47 49 1.21669000000000e-03 7.20368000000000e-02 486 | 39 57 49 51 1.37080000000000e-03 7.20368000000000e-02 487 | 39 57 51 53 2.18438000000000e-03 7.20368000000000e-02 488 | 39 57 53 55 5.15585000000000e-02 7.20368000000000e-02 489 | 4 22 6 8 6.93562000000000e-03 1.99655000000000e-01 490 | 4 22 8 10 2.80065000000000e-03 1.99655000000000e-01 491 | 4 22 10 12 1.96663000000000e-03 1.99655000000000e-01 492 | 22 40 24 26 7.17390000000000e-03 1.99631000000000e-01 493 | 22 40 26 28 3.15532000000000e-03 1.99631000000000e-01 494 | 22 40 28 30 2.29630000000000e-03 1.99631000000000e-01 495 | 29 47 43 45 9.67380000000000e-03 1.99616000000000e-01 496 | 6 24 20 22 7.18448000000000e-03 1.99651000000000e-01 497 | 23 41 35 37 2.49031000000000e-03 1.26059000000000e-01 498 | 20 29 22 23 4.66228000000000e-03 1.99624000000000e-01 499 | 23 41 37 39 6.86160000000000e-03 1.26059000000000e-01 500 | 41 59 47 49 1.27091000000000e-03 7.37273000000000e-02 501 | 41 59 51 53 1.45349000000000e-03 7.37273000000000e-02 502 | 41 59 53 55 2.28332000000000e-03 7.37273000000000e-02 503 | 41 59 55 57 4.08100000000000e-02 7.37273000000000e-02 504 | 6 24 12 14 1.90092000000000e-03 1.99651000000000e-01 505 | 6 24 16 18 2.09367000000000e-03 1.99651000000000e-01 506 | 7 25 19 21 2.96345000000000e-03 1.99649000000000e-01 507 | 6 24 18 20 2.96950000000000e-03 1.99651000000000e-01 508 | 5 23 17 19 2.90335000000000e-03 1.99655000000000e-01 509 | 15 51 23 27 2.33024000000000e-03 1.99651000000000e-01 510 | 35 53 49 51 3.51538000000000e-02 1.92017000000000e-01 511 | 22 31 25 26 3.41338000000000e-03 1.99621000000000e-01 512 | 28 37 31 32 3.68408000000000e-03 1.99622000000000e-01 513 | 7 25 11 13 2.69556000000000e-03 1.99649000000000e-01 514 | 7 25 13 15 1.93865000000000e-03 1.99649000000000e-01 515 | 7 25 21 23 7.14787000000000e-03 1.99649000000000e-01 516 | 43 61 45 47 6.41568000000000e-03 1.27379000000000e-01 517 | 10 19 11 12 1.07802000000000e-02 1.99630000000000e-01 518 | 43 61 51 53 2.22586000000000e-03 1.27379000000000e-01 519 | 10 19 12 13 4.30602000000000e-03 1.99630000000000e-01 520 | 9 45 29 33 2.15137000000000e-03 1.99659000000000e-01 521 | 43 61 53 55 2.76935000000000e-03 1.27379000000000e-01 522 | 10 19 14 15 2.63849000000000e-03 1.99630000000000e-01 523 | 29 47 39 41 3.00940000000000e-03 1.99616000000000e-01 524 | 43 61 57 59 2.39393000000000e-01 1.27379000000000e-01 525 | 13 22 14 15 1.10486000000000e-02 1.99622000000000e-01 526 | 8 26 10 12 6.17189000000000e-03 1.99645000000000e-01 527 | 11 29 19 21 1.89519000000000e-03 1.99639000000000e-01 528 | 8 26 14 16 1.95381000000000e-03 1.99645000000000e-01 529 | 8 26 18 20 2.08160000000000e-03 1.99645000000000e-01 530 | 8 26 20 22 3.08289000000000e-03 1.99645000000000e-01 531 | 26 35 30 31 3.25616000000000e-03 1.99621000000000e-01 532 | 25 34 32 33 2.30854000000000e-02 1.99605000000000e-01 533 | 25 34 27 28 5.26303000000000e-03 1.99605000000000e-01 534 | 20 29 27 28 1.53497000000000e-02 1.99624000000000e-01 535 | 27 45 29 31 7.54065000000000e-03 1.99612000000000e-01 536 | 27 45 31 33 3.50944000000000e-03 1.99612000000000e-01 537 | 27 45 35 37 2.49805000000000e-03 1.99612000000000e-01 538 | 27 45 37 39 2.76462000000000e-03 1.99612000000000e-01 539 | 21 30 24 25 3.33347000000000e-03 1.99621000000000e-01 540 | 7 43 35 39 5.65415000000000e-03 1.99677000000000e-01 541 | 27 45 41 43 9.90990000000000e-03 1.99612000000000e-01 542 | 33 51 39 41 2.92607000000000e-03 1.99601000000000e-01 543 | 21 30 23 24 4.76476000000000e-03 1.99621000000000e-01 544 | 11 20 12 13 1.05683000000000e-02 1.99624000000000e-01 545 | 10 28 18 20 1.89275000000000e-03 1.99640000000000e-01 546 | 10 28 22 24 3.07913000000000e-03 1.99640000000000e-01 547 | 11 20 13 14 4.37933000000000e-03 1.99624000000000e-01 548 | 10 28 24 26 7.56564000000000e-03 1.99640000000000e-01 549 | 13 31 15 17 6.27668000000000e-03 1.99637000000000e-01 550 | 1 55 19 25 1.46807000000000e-03 1.72129000000000e-01 551 | 3 57 15 21 6.29518000000000e-04 9.04282000000000e-02 552 | 30 39 31 32 5.08614000000000e-02 1.99593000000000e-01 553 | 10 19 17 18 1.27845000000000e-02 1.99630000000000e-01 554 | 12 30 14 16 6.15656000000000e-03 1.99641000000000e-01 555 | 12 30 16 18 2.86151000000000e-03 1.99641000000000e-01 556 | 13 31 19 21 2.03709000000000e-03 1.99637000000000e-01 557 | 13 31 21 23 1.96879000000000e-03 1.99637000000000e-01 558 | 13 31 27 29 8.60705000000000e-03 1.99637000000000e-01 559 | 25 61 53 57 8.50762000000000e-03 1.58319000000000e-01 560 | 31 49 33 35 8.54099000000000e-03 1.99612000000000e-01 561 | 31 49 35 37 3.78371000000000e-03 1.99612000000000e-01 562 | 31 49 39 41 2.73577000000000e-03 1.99612000000000e-01 563 | 14 32 18 20 2.90240000000000e-03 1.99629000000000e-01 564 | 14 32 28 30 9.13042000000000e-03 1.99629000000000e-01 565 | 8 17 12 13 1.61157000000000e-03 1.99632000000000e-01 566 | 15 33 19 21 2.94153000000000e-03 1.99629000000000e-01 567 | 15 33 25 27 2.34226000000000e-03 1.99629000000000e-01 568 | 1 19 11 13 1.62601000000000e-03 1.99669000000000e-01 569 | 15 33 27 29 3.35921000000000e-03 1.99629000000000e-01 570 | 16 34 30 32 8.34723000000000e-03 1.99619000000000e-01 571 | 33 51 37 39 3.74511000000000e-03 1.99601000000000e-01 572 | 33 51 45 47 4.57400000000000e-03 1.99601000000000e-01 573 | 11 29 15 17 2.77404000000000e-03 1.99639000000000e-01 574 | 30 39 32 33 7.14964000000000e-03 1.99593000000000e-01 575 | 19 37 29 31 2.42093000000000e-03 1.99662000000000e-01 576 | 33 51 47 49 1.31369000000000e-02 1.99601000000000e-01 577 | 16 34 18 20 6.77911000000000e-03 1.99619000000000e-01 578 | 16 34 22 24 2.05077000000000e-03 1.99619000000000e-01 579 | 16 34 24 26 2.08385000000000e-03 1.99619000000000e-01 580 | 2 20 12 14 1.94027000000000e-03 1.99663000000000e-01 581 | 16 34 28 30 3.40865000000000e-03 1.99619000000000e-01 582 | 33 51 43 45 3.07094000000000e-03 1.99601000000000e-01 583 | 8 17 9 10 1.11819000000000e-02 1.99632000000000e-01 584 | 20 29 25 26 3.47636000000000e-03 1.99624000000000e-01 585 | 8 17 11 12 3.06505000000000e-03 1.99632000000000e-01 586 | 15 51 19 23 4.16954000000000e-03 1.99651000000000e-01 587 | 8 17 13 14 3.15127000000000e-03 1.99632000000000e-01 588 | 19 55 43 47 3.43688000000000e-03 1.74051000000000e-01 589 | 8 17 14 15 4.71686000000000e-03 1.99632000000000e-01 590 | 17 26 19 20 4.99665000000000e-03 1.99627000000000e-01 591 | 17 26 24 25 1.36561000000000e-02 1.99627000000000e-01 592 | 22 31 24 25 5.18931000000000e-03 1.99621000000000e-01 593 | 23 59 51 55 7.54385000000000e-03 1.70474000000000e-01 594 | 17 26 20 21 3.16785000000000e-03 1.99627000000000e-01 595 | 17 26 21 22 2.92051000000000e-03 1.99627000000000e-01 596 | 17 26 22 23 3.20377000000000e-03 1.99627000000000e-01 597 | 18 27 20 21 4.90920000000000e-03 1.99628000000000e-01 598 | 23 59 35 39 2.05737000000000e-03 1.70474000000000e-01 599 | 26 35 27 28 1.37539000000000e-02 1.99621000000000e-01 600 | 26 35 32 33 6.58075000000000e-03 1.99621000000000e-01 601 | 27 36 30 31 3.66782000000000e-03 1.99616000000000e-01 602 | 26 35 28 29 5.28243000000000e-03 1.99621000000000e-01 603 | 26 35 33 34 2.12749000000000e-02 1.99621000000000e-01 604 | 26 35 29 30 3.45120000000000e-03 1.99621000000000e-01 605 | 3 57 33 39 9.46299000000000e-04 9.04282000000000e-02 606 | 26 35 31 32 3.72215000000000e-03 1.99621000000000e-01 607 | 9 18 13 14 2.68313000000000e-03 1.99629000000000e-01 608 | 9 18 14 15 3.04796000000000e-03 1.99629000000000e-01 609 | 9 18 15 16 4.81020000000000e-03 1.99629000000000e-01 610 | 25 61 45 49 2.80010000000000e-03 1.58319000000000e-01 611 | 9 18 16 17 1.27045000000000e-02 1.99629000000000e-01 612 | 23 32 24 25 1.28319000000000e-02 1.99616000000000e-01 613 | 18 27 19 20 1.28064000000000e-02 1.99628000000000e-01 614 | 18 27 24 25 5.32471000000000e-03 1.99628000000000e-01 615 | 18 27 21 22 3.31765000000000e-03 1.99628000000000e-01 616 | 18 27 22 23 2.75356000000000e-03 1.99628000000000e-01 617 | 32 41 34 35 3.55429000000000e-03 1.16358000000000e-01 618 | 27 36 29 30 5.35915000000000e-03 1.99616000000000e-01 619 | 27 36 34 35 2.36722000000000e-02 1.99616000000000e-01 620 | 27 36 31 32 3.15932000000000e-03 1.99616000000000e-01 621 | 27 36 32 33 4.05195000000000e-03 1.99616000000000e-01 622 | 1 10 3 4 4.27118000000000e-03 1.99625000000000e-01 623 | 1 10 4 5 2.94831000000000e-03 1.99625000000000e-01 624 | 16 25 20 21 2.75637000000000e-03 1.99618000000000e-01 625 | 1 10 5 6 2.06117000000000e-03 1.99625000000000e-01 626 | 8 26 12 14 2.71211000000000e-03 1.99645000000000e-01 627 | 1 10 7 8 4.72067000000000e-03 1.99625000000000e-01 628 | 10 19 15 16 3.08204000000000e-03 1.99630000000000e-01 629 | 19 28 20 21 1.25363000000000e-02 1.99628000000000e-01 630 | 19 28 21 22 5.08784000000000e-03 1.99628000000000e-01 631 | 11 20 16 17 3.14392000000000e-03 1.99624000000000e-01 632 | 1 55 31 37 2.18976000000000e-03 1.72129000000000e-01 633 | 19 28 24 25 3.41373000000000e-03 1.99628000000000e-01 634 | 24 33 25 26 1.28295000000000e-02 1.99613000000000e-01 635 | 21 57 33 37 1.04281000000000e-03 8.93298000000000e-02 636 | 19 28 25 26 5.35481000000000e-03 1.99628000000000e-01 637 | 24 33 31 32 2.36979000000000e-02 1.99613000000000e-01 638 | 24 33 26 27 5.15702000000000e-03 1.99613000000000e-01 639 | 19 28 26 27 1.39268000000000e-02 1.99628000000000e-01 640 | 28 37 30 31 5.80042000000000e-03 1.99622000000000e-01 641 | 1 37 9 13 2.00138000000000e-03 1.99700000000000e-01 642 | 28 37 33 34 3.81856000000000e-03 1.99622000000000e-01 643 | 28 37 35 36 2.63416000000000e-02 1.99622000000000e-01 644 | 21 57 49 53 3.98583000000000e-03 8.93298000000000e-02 645 | 3 21 15 17 2.87539000000000e-03 1.99656000000000e-01 646 | 2 11 4 5 4.38203000000000e-03 1.99623000000000e-01 647 | 11 29 25 27 7.77248000000000e-03 1.99639000000000e-01 648 | 30 39 37 38 3.56712000000000e-02 1.99593000000000e-01 649 | 2 11 6 7 2.66649000000000e-03 1.99623000000000e-01 650 | 2 11 8 9 4.60284000000000e-03 1.99623000000000e-01 651 | 11 20 15 16 2.62774000000000e-03 1.99624000000000e-01 652 | 20 29 21 22 1.27539000000000e-02 1.99624000000000e-01 653 | 25 34 31 32 5.92147000000000e-03 1.99605000000000e-01 654 | 25 34 26 27 1.34694000000000e-02 1.99605000000000e-01 655 | 20 29 26 27 5.46282000000000e-03 1.99624000000000e-01 656 | 29 38 30 31 2.18796000000000e-02 1.99619000000000e-01 657 | 29 38 34 35 3.86693000000000e-03 1.99619000000000e-01 658 | 29 38 35 36 6.62932000000000e-03 1.99619000000000e-01 659 | 3 12 4 5 1.08243000000000e-02 1.99623000000000e-01 660 | 13 31 23 25 2.27849000000000e-03 1.99637000000000e-01 661 | 3 12 5 6 3.65951000000000e-03 1.99623000000000e-01 662 | 12 21 13 14 1.09981000000000e-02 1.99623000000000e-01 663 | 12 21 14 15 4.46537000000000e-03 1.99623000000000e-01 664 | 12 21 16 17 2.71828000000000e-03 1.99623000000000e-01 665 | 12 21 17 18 3.15403000000000e-03 1.99623000000000e-01 666 | 12 21 19 20 1.24101000000000e-02 1.99623000000000e-01 667 | 2 20 4 6 5.69487000000000e-03 1.99663000000000e-01 668 | 21 30 22 23 1.12465000000000e-02 1.99621000000000e-01 669 | 21 30 25 26 2.99917000000000e-03 1.99621000000000e-01 670 | 11 29 21 23 2.19061000000000e-03 1.99639000000000e-01 671 | 30 39 33 34 3.78852000000000e-03 1.99593000000000e-01 672 | 30 39 34 35 3.39435000000000e-03 1.99593000000000e-01 673 | 11 29 23 25 3.23309000000000e-03 1.99639000000000e-01 674 | 30 39 35 36 4.07564000000000e-03 1.99593000000000e-01 675 | 30 39 36 37 6.63998000000000e-03 1.99593000000000e-01 676 | 4 13 7 8 3.17583000000000e-03 1.99622000000000e-01 677 | 13 22 15 16 4.42003000000000e-03 1.99622000000000e-01 678 | 13 22 16 17 3.03962000000000e-03 1.99622000000000e-01 679 | 13 22 19 20 4.70818000000000e-03 1.99622000000000e-01 680 | 13 22 20 21 1.13512000000000e-02 1.99622000000000e-01 681 | 22 31 27 28 3.59983000000000e-03 1.99621000000000e-01 682 | 45 54 50 51 3.39413000000000e-03 9.68518000000000e-02 683 | 36 45 43 44 4.95588000000000e-02 1.99584000000000e-01 684 | 36 45 38 39 6.37101000000000e-03 1.99584000000000e-01 685 | 44 53 49 50 4.07608000000000e-03 1.45603000000000e-01 686 | 44 53 48 49 3.10470000000000e-03 1.45603000000000e-01 687 | 35 44 40 41 6.35033000000000e-03 1.99595000000000e-01 688 | 52 61 59 60 1.73915000000000e+00 8.98853000000000e-02 689 | 52 61 58 59 1.59742000000000e-01 8.98853000000000e-02 690 | 52 61 56 57 2.85723000000000e-03 8.98853000000000e-02 691 | 34 43 40 41 8.52249000000000e-02 1.99594000000000e-01 692 | 34 43 38 39 3.37372000000000e-03 1.99594000000000e-01 693 | 51 60 58 59 2.77715000000000e+00 9.61901000000000e-02 694 | 51 60 55 56 2.86815000000000e-03 9.61901000000000e-02 695 | 42 51 49 50 1.84410000000000e-01 7.95973000000000e-02 696 | 42 51 48 49 3.98589000000000e-03 7.95973000000000e-02 697 | 42 51 47 48 2.02354000000000e-03 7.95973000000000e-02 698 | 42 51 46 47 1.71735000000000e-03 7.95973000000000e-02 699 | 33 42 40 41 3.49587000000000e+00 9.71576000000000e-02 700 | 33 42 39 40 4.42678000000000e-02 9.71576000000000e-02 701 | 33 42 37 38 1.74099000000000e-03 9.71576000000000e-02 702 | 50 59 55 56 6.13917000000000e-03 1.07357000000000e-01 703 | 50 59 54 55 2.94755000000000e-03 1.07357000000000e-01 704 | 50 59 52 53 9.30470000000000e-03 1.07357000000000e-01 705 | 50 59 51 52 2.43475000000000e-01 1.07357000000000e-01 706 | 41 50 48 49 8.49518000000000e-02 8.65670000000000e-02 707 | 41 50 46 47 2.05830000000000e-03 8.65670000000000e-02 708 | 41 50 45 46 1.71262000000000e-03 8.65670000000000e-02 709 | 49 58 51 52 4.02283000000000e-03 8.27921000000000e-02 710 | 49 58 50 51 8.10769000000000e-02 8.27921000000000e-02 711 | 40 49 45 46 3.56598000000000e-03 1.57421000000000e-01 712 | 40 49 44 45 2.97773000000000e-03 1.57421000000000e-01 713 | 40 49 42 43 7.08206000000000e-02 1.57421000000000e-01 714 | 40 49 41 42 8.38638000000000e-01 1.57421000000000e-01 715 | 48 57 50 51 3.36641000000000e-03 8.27281000000000e-02 716 | 44 53 51 52 9.71146000000000e-01 1.45603000000000e-01 717 | 44 53 46 47 5.21266000000000e-03 1.45603000000000e-01 718 | 39 48 46 47 2.58192000000000e-02 1.99588000000000e-01 719 | 39 48 44 45 4.31214000000000e-03 1.99588000000000e-01 720 | 39 48 42 43 4.20412000000000e-03 1.99588000000000e-01 721 | 35 44 41 42 6.63965000000000e-02 1.99595000000000e-01 722 | 35 44 36 37 2.36078000000000e-02 1.99595000000000e-01 723 | 47 56 50 51 2.77324000000000e-03 1.10682000000000e-01 724 | 38 47 40 41 6.92678000000000e-03 1.99594000000000e-01 725 | 34 43 41 42 2.40583000000000e+00 1.99594000000000e-01 726 | 34 43 36 37 6.33055000000000e-03 1.99594000000000e-01 727 | 46 55 53 54 1.49601000000000e+00 1.45481000000000e-01 728 | 46 55 48 49 5.27568000000000e-03 1.45481000000000e-01 729 | 37 46 42 43 3.85101000000000e-03 1.99611000000000e-01 730 | 42 51 44 45 2.71580000000000e-02 7.95973000000000e-02 731 | 37 46 44 45 2.26091000000000e-02 1.99611000000000e-01 732 | 37 46 39 40 6.74094000000000e-03 1.99611000000000e-01 733 | 33 42 35 36 3.15955000000000e-03 9.71576000000000e-02 734 | 33 42 34 35 1.09372000000000e-02 9.71576000000000e-02 735 | 36 54 48 50 3.07437000000000e-03 1.15813000000000e-01 736 | 36 54 42 44 1.54876000000000e-03 1.15813000000000e-01 737 | 36 54 40 42 2.55560000000000e-03 1.15813000000000e-01 738 | 36 54 38 40 5.23220000000000e-03 1.15813000000000e-01 739 | 52 61 53 54 5.75060000000000e-01 8.98853000000000e-02 740 | 47 56 53 54 7.90572000000000e-02 1.10682000000000e-01 741 | 47 56 48 49 1.44328000000000e-02 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39 75 51 55 2.04481000000000e-03 1.44225000000000e-01 925 | 25 79 31 37 1.79596000000000e-03 1.00035000000000e-01 926 | 46 55 49 50 3.72733000000000e-03 1.45481000000000e-01 927 | 43 79 63 67 5.14520000000000e-03 8.85176000000000e-02 928 | 7 79 49 55 1.04486000000000e-03 1.01214000000000e-01 929 | 17 77 35 41 1.27075000000000e-03 1.45998000000000e-01 930 | 13 73 43 49 1.12831000000000e-03 9.34894000000000e-02 931 | 5 65 41 47 2.44918000000000e-03 1.39069000000000e-01 932 | 13 79 19 25 1.43462000000000e-03 1.01566000000000e-01 933 | 45 63 59 61 3.63958000000000e-01 1.10992000000000e-01 934 | 3 69 51 57 3.31685000000000e-03 9.72576000000000e-02 935 | 1 73 13 19 7.58725000000000e-04 9.45950000000000e-02 936 | 3 69 33 39 1.03094000000000e-03 9.72576000000000e-02 937 | 5 65 17 23 1.35225000000000e-03 1.39069000000000e-01 938 | 9 81 33 39 1.15135000000000e-03 1.99670000000000e-01 939 | 15 69 45 51 1.94913000000000e-03 9.70573000000000e-02 940 | 39 48 40 41 7.59418000000000e-02 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4.37230000000000e-02 8.85176000000000e-02 1254 | 11 77 65 71 1.57840000000000e-01 1.45889000000000e-01 1255 | 35 71 59 63 5.49842000000000e-03 9.18458000000000e-02 1256 | 38 56 44 46 1.93826000000000e-03 1.27015000000000e-01 1257 | 43 79 71 75 8.03291000000000e-01 8.85176000000000e-02 1258 | 25 79 49 55 1.24809000000000e-03 1.00035000000000e-01 1259 | 45 81 49 53 3.79608000000000e-03 1.35599000000000e-01 1260 | 45 81 53 57 2.10627000000000e-03 1.35599000000000e-01 1261 | 25 79 67 73 2.11067000000000e-01 1.00035000000000e-01 1262 | 45 81 61 65 3.43287000000000e-03 1.35599000000000e-01 1263 | 45 81 73 77 1.12759000000000e+00 1.35599000000000e-01 1264 | 53 71 59 61 2.02999000000000e-03 6.94179000000000e-02 1265 | 9 75 27 33 1.40985000000000e-03 1.99653000000000e-01 1266 | 7 79 61 67 6.64143000000000e-03 1.01214000000000e-01 1267 | 41 50 43 44 3.64943000000000e-02 8.65670000000000e-02 1268 | 42 60 48 50 1.11053000000000e-03 6.18531000000000e-02 1269 | 45 54 52 53 1.72402000000000e+00 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