yoshitomo-matsubara
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Commit
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Parent(s):
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added datasets
Browse filesThis view is limited to 50 files because it contains too many changes.
See raw diff
- LICENSE +22 -0
- README.md +171 -0
- test/feynman-bonus.1.txt +0 -0
- test/feynman-bonus.10.txt +1000 -0
- test/feynman-bonus.11.txt +0 -0
- test/feynman-bonus.12.txt +0 -0
- test/feynman-bonus.13.txt +0 -0
- test/feynman-bonus.14.txt +0 -0
- test/feynman-bonus.15.txt +0 -0
- test/feynman-bonus.16.txt +0 -0
- test/feynman-bonus.17.txt +0 -0
- test/feynman-bonus.19.txt +0 -0
- test/feynman-bonus.2.txt +0 -0
- test/feynman-bonus.20.txt +0 -0
- test/feynman-bonus.3.txt +0 -0
- test/feynman-bonus.4.txt +0 -0
- test/feynman-bonus.5.txt +0 -0
- test/feynman-bonus.6.txt +0 -0
- test/feynman-bonus.7.txt +0 -0
- test/feynman-bonus.9.txt +0 -0
- test/feynman-i.15.3t.txt +0 -0
- test/feynman-i.15.3x.txt +0 -0
- test/feynman-i.29.16.txt +0 -0
- test/feynman-i.30.3.txt +0 -0
- test/feynman-i.32.17.txt +0 -0
- test/feynman-i.34.14.txt +1000 -0
- test/feynman-i.37.4.txt +0 -0
- test/feynman-i.39.22.txt +0 -0
- test/feynman-i.40.1.txt +0 -0
- test/feynman-i.41.16.txt +1000 -0
- test/feynman-i.44.4.txt +0 -0
- test/feynman-i.50.26.txt +0 -0
- test/feynman-i.6.20.txt +1000 -0
- test/feynman-i.6.20a.txt +1000 -0
- test/feynman-i.6.20b.txt +0 -0
- test/feynman-i.9.18.txt +0 -0
- test/feynman-ii.11.17.txt +0 -0
- test/feynman-ii.11.20.txt +0 -0
- test/feynman-ii.11.27.txt +0 -0
- test/feynman-ii.11.28.txt +1000 -0
- test/feynman-ii.13.23.txt +1000 -0
- test/feynman-ii.13.34.txt +1000 -0
- test/feynman-ii.24.17.txt +1000 -0
- test/feynman-ii.35.18.txt +0 -0
- test/feynman-ii.35.21.txt +0 -0
- test/feynman-ii.36.38.txt +0 -0
- test/feynman-ii.6.15a.txt +0 -0
- test/feynman-ii.6.15b.txt +0 -0
- test/feynman-iii.10.19.txt +0 -0
- test/feynman-iii.21.20.txt +0 -0
LICENSE
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MIT License
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Copyright (c) 2022 OMRON SINIC X Corporation
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Permission is hereby granted, free of charge, to any person obtaining a copy
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of this software and associated documentation files (the "Software"), to deal
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in the Software without restriction, including without limitation the rights
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to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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copies of the Software, and to permit persons to whom the Software is
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furnished to do so, subject to the following conditions:
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The above copyright notice and this permission notice shall be included in all
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copies or substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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SOFTWARE.
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README.md
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---
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pretty_name: SRSD-Feynman (Hard)
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annotations_creators:
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- expert
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language_creators:
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- expert-generated
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languages:
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- en
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licenses:
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- mit
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multilinguality:
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- monolingual
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size_categories:
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- 100K<n<1M
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source_datasets:
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- extended
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task_categories:
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- symbolic-regression
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task_ids: []
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---
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# Dataset Card for SRSD-Feynman (Hard set)
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## Table of Contents
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- [Table of Contents](#table-of-contents)
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- [Dataset Description](#dataset-description)
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- [Dataset Summary](#dataset-summary)
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- [Supported Tasks and Leaderboards](#supported-tasks-and-leaderboards)
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- [Languages](#languages)
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- [Dataset Structure](#dataset-structure)
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- [Data Instances](#data-instances)
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- [Data Fields](#data-fields)
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- [Data Splits](#data-splits)
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- [Dataset Creation](#dataset-creation)
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- [Curation Rationale](#curation-rationale)
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- [Source Data](#source-data)
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- [Annotations](#annotations)
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- [Personal and Sensitive Information](#personal-and-sensitive-information)
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- [Considerations for Using the Data](#considerations-for-using-the-data)
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- [Social Impact of Dataset](#social-impact-of-dataset)
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- [Discussion of Biases](#discussion-of-biases)
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- [Other Known Limitations](#other-known-limitations)
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- [Additional Information](#additional-information)
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- [Dataset Curators](#dataset-curators)
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- [Licensing Information](#licensing-information)
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- [Citation Information](#citation-information)
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- [Contributions](#contributions)
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## Dataset Description
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- **Homepage:**
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- **Repository:**
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- **Paper:** Rethinking Symbolic Regression Datasets and Benchmarks for Scientific Discovery
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- **Point of Contact:**
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### Dataset Summary
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Our SRSD (Feynman) datasets are designed to discuss the performance of Symbolic Regression for Scientific Discovery.
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We carefully reviewed the properties of each formula and its variables in [the Feynman Symbolic Regression Database](https://space.mit.edu/home/tegmark/aifeynman.html) to design reasonably realistic sampling range of values so that our SRSD datasets can be used for evaluating the potential of SRSD such as whether or not a SR method con (re)discover physical laws from such datasets.
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This is the Hard set of our SRSD-Feynman datasets, which consists of 50 different physics formulas.
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### Supported Tasks and Leaderboards
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Symbolic Regression
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## Dataset Structure
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### Data Instances
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Tabular data + Ground-truth equation per equation
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Tabular data: (num_samples, num_variables+1), where the last (rightmost) column indicate output of the target function for given variables.
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Note that the number of variables (`num_variables`) varies from equation to equation.
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Ground-truth equation: *pickled* symbolic representation (equation with symbols in sympy) of the target function.
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### Data Fields
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For each dataset, we have
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1. train split (txt file, whitespace as a delimiter)
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2. val split (txt file, whitespace as a delimiter)
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3. test split (txt file, whitespace as a delimiter)
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4. true equation (pickle file)
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### Data Splits
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- train: 8,000 samples per equation
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- val: 1,000 samples per equation
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- test: 1,000 samples per equation
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## Dataset Creation
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### Curation Rationale
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We chose target equations based on [the Feynman Symbolic Regression Database](https://space.mit.edu/home/tegmark/aifeynman.html).
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### Annotations
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#### Annotation process
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We significantly revised the sampling range for each variable from the annotations in the Feynman Symbolic Regression Database.
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First, we checked the properties of each variable and treat physical constants (e.g., light speed, gravitational constant) as constants.
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Next, variable ranges were defined to correspond to each typical physics experiment to confirm the physical phenomenon for each equation.
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In cases where a specific experiment is difficult to be assumed, ranges were set within which the corresponding physical phenomenon can be seen.
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Generally, the ranges are set to be sampled on log scales within their orders as 10^2 in order to take both large and small changes in value as the order changes.
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Variables such as angles, for which a linear distribution is expected are set to be sampled uniformly.
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In addition, variables that take a specific sign were set to be sampled within that range.
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#### Who are the annotators?
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The main annotators are
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- Naoya Chiba (@nchiba)
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- Ryo Igarashi (@rigarash)
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### Personal and Sensitive Information
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N/A
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## Considerations for Using the Data
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### Social Impact of Dataset
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We annotated this dataset, assuming typical physical experiments. The dataset will engage research on symbolic regression for scientific discovery (SRSD) and help researchers discuss the potential of symbolic regression methods towards data-driven scientific discovery.
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### Discussion of Biases
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Our choices of target equations are based on [the Feynman Symbolic Regression Database](https://space.mit.edu/home/tegmark/aifeynman.html), which are focused on a field of Physics.
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### Other Known Limitations
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Some variables used in our datasets indicate some numbers (counts), which should be treated as integer.
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Due to the capacity of 32-bit integer, however, we treated some of such variables as float e.g., number of molecules (10^{23} - 10^{25})
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## Additional Information
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### Dataset Curators
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The main curators are
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- Naoya Chiba (@nchiba)
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- Ryo Igarashi (@rigarash)
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### Licensing Information
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MIT License
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### Citation Information
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```bibtex
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@article{matsubara2022rethinking,
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title={Rethinking Symbolic Regression Datasets and Benchmarks for Scientific Discovery},
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author={Matsubara, Yoshitomo and Chiba, Naoya and Igarashi, Ryo and Tatsunori, Taniai and Ushiku, Yoshitaka},
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journal={arXiv preprint arXiv:...},
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year={2022}
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}
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```
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### Contributions
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Authors:
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- Yoshitomo Matsubara (@yoshitomo-matsubara)
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- Naoya Chiba (@nchiba)
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- Ryo Igarashi (@rigarash)
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- Tatsunori Taniai
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- Yoshitaka Ushiku (@yushiku)
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test/feynman-bonus.1.txt
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The diff for this file is too large to render.
See raw diff
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test/feynman-bonus.10.txt
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1000 |
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test/feynman-i.37.4.txt
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test/feynman-i.39.22.txt
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test/feynman-i.40.1.txt
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test/feynman-i.41.16.txt
ADDED
@@ -0,0 +1,1000 @@
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987 |
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988 |
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989 |
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990 |
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991 |
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992 |
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993 |
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994 |
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995 |
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996 |
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997 |
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1.916682312755610684e-01 8.493870674537005243e+02 4.712491772823797829e-40
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998 |
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1.609154393040546527e+00 6.992951396036163203e+01 2.816813869982876592e-39
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999 |
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1.891725696624442787e-01 1.468065211065223785e+01 8.182027783204810404e-42
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1000 |
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2.111944404211525961e-01 1.148969242189917992e+02 8.005658887721942475e-41
|
test/feynman-i.44.4.txt
ADDED
The diff for this file is too large to render.
See raw diff
|
|
test/feynman-i.50.26.txt
ADDED
The diff for this file is too large to render.
See raw diff
|
|
test/feynman-i.6.20.txt
ADDED
@@ -0,0 +1,1000 @@
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1.649470647069692708e+00 1.041807785797853825e+00 1.093414700210151580e-01
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903 |
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904 |
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4.269031915014924738e-01 1.347917585017046838e+00 2.814915056688910289e-01
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905 |
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8.499981975670127810e-01 4.085874835058664445e+00 9.554926198176105778e-02
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906 |
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907 |
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6.736126468401399059e+00 2.557437154776084132e+00 4.859817934140762789e-03
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908 |
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4.927903610812559343e+00 1.893035939900212794e+00 7.116209094355108004e-03
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909 |
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910 |
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3.829662507981833608e-01 1.090925901536164977e-01 7.711214495692697048e-03
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911 |
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912 |
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1.897933856135185060e+00 9.696249592050078192e+00 4.036328981313454245e-02
|
913 |
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914 |
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2.131104699205766728e+00 6.938749568070528007e-01 5.143889192678175945e-03
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915 |
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916 |
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2.927356923671750599e-01 2.803984577335715933e+00 1.415036636028206563e-01
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917 |
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918 |
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5.905650072381856130e-01 6.638114267777313948e+00 5.986136848078527084e-02
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919 |
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|
920 |
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1.051567231513627632e-01 4.914276798404836888e-01 7.934282151800696736e-01
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921 |
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1.806057141352234607e+00 2.157743925901800974e+00 1.302504540453941484e-01
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922 |
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923 |
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924 |
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925 |
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9.838657262033112971e+00 1.926593517172083270e-01 0.000000000000000000e+00
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926 |
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927 |
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2.205257547650792127e-01 1.536502465408850382e+00 2.569826047882862730e-01
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928 |
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929 |
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4.489964752534625347e-01 2.658877907154602482e+00 1.479174778385822786e-01
|
930 |
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|
931 |
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1.242382506612210447e-01 1.306522818788371509e-01 1.942866841561155189e+00
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932 |
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933 |
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934 |
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935 |
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936 |
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7.924741564676627270e-01 3.992726098550644087e-01 1.393825937330256115e-01
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937 |
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3.541058207420963111e+00 6.946837979352928016e+00 5.043142080210892553e-02
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938 |
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939 |
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940 |
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941 |
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942 |
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1.844273447139907762e-01 7.324318678043811870e-01 5.276851175364294377e-01
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943 |
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4.121231956213529668e-01 4.403223814355841981e+00 9.020633906112041078e-02
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944 |
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945 |
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946 |
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9.373406764281303483e-01 1.142384497156737844e+00 2.494051498974863001e-01
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947 |
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948 |
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2.557146918619878306e+00 1.211131869096231661e-01 5.200640385803969904e-97
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949 |
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950 |
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1.067995045169478407e+00 1.150649135506500276e+00 2.253699135838930223e-01
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951 |
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1.212099077775407707e+00 1.261274748229724629e+00 1.993222038453449085e-01
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952 |
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2.150234408802395580e-01 5.526784919685131747e+00 7.212881814987934237e-02
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953 |
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1.076566456769439961e+00 3.827695700484705199e+00 1.001832491219310506e-01
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954 |
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955 |
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956 |
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957 |
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958 |
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1.418262182575855679e+00 3.917579309699875112e-01 1.451820000608515559e-03
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959 |
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1.211045340150523231e+00 2.789545396821767831e+00 1.301516830356740373e-01
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960 |
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1.213760817241906209e-01 2.190588233158932974e-01 1.562011178420956492e+00
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961 |
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2.091473031975843000e+00 3.576547640788546034e-01 4.186571050970051364e-08
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962 |
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963 |
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4.145333447219255341e+00 3.325197699296611908e+00 5.515947862164366500e-02
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964 |
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9.761728097529761783e+00 6.189133841319578444e-01 6.167385747143448868e-55
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965 |
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-2.211163688582527875e+00 1.570321714139556013e+00 9.427057392122453749e-02
|
966 |
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7.517548923606973688e-01 8.392860869815415015e+00 4.734323028421252855e-02
|
967 |
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5.307639670184419955e+00 7.918072394652243551e-01 8.815502586424260770e-11
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968 |
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4.326641179921297820e+00 1.660991978994876550e-01 1.097558439557204672e-147
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969 |
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1.168257084253675887e-01 6.687422073854065729e-01 5.875223353195727638e-01
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970 |
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7.111831549449652012e-01 4.415747897258841981e+00 8.918117658731379571e-02
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971 |
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972 |
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1.983020539174673025e-01 1.265392679417873811e+00 3.114238817619866539e-01
|
973 |
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7.324129485899746328e-01 1.301784264136787439e-01 4.099273595345084621e-07
|
974 |
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3.519575435783938722e-01 7.717277473295568457e-01 4.658868681145979518e-01
|
975 |
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2.158925957443450505e-01 6.031215299807302088e+00 6.610388640390939263e-02
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976 |
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1.648063024127974230e-01 5.381888718046707876e-01 7.073148653352671067e-01
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977 |
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|
978 |
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3.251810936920053186e-01 6.682018528901132903e+00 5.963320101361940795e-02
|
979 |
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6.420477106489518304e-01 4.477024597682623508e+00 8.819717514881450504e-02
|
980 |
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4.445360130466837201e-01 1.367517505917776655e+00 2.767141784352508127e-01
|
981 |
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1.694926158376837799e+00 1.366463544725276646e+00 1.352772789657372965e-01
|
982 |
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4.139266452598894253e-01 6.153710717246696049e+00 6.468305180462481652e-02
|
983 |
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3.443032973670367425e-01 1.305819975784764830e+00 2.950736804508802824e-01
|
984 |
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-1.607685634479252057e+00 1.582941703233103348e-01 1.005872215409033648e-22
|
985 |
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-2.696195388036168317e-01 9.074752957737795001e-01 4.206363363992713378e-01
|
986 |
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-1.232616380801983214e+00 4.382178619346153714e-01 1.742580276237102807e-02
|
987 |
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-2.391242522410220950e+00 2.415660397387864311e+00 1.011800000475815281e-01
|
988 |
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5.112494334039457300e+00 1.030186731821355783e+00 1.737940270722893159e-06
|
989 |
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3.113889270194869052e+00 9.221831214339623273e+00 4.086337977618240136e-02
|
990 |
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-9.078146770481684058e+00 3.825564819467826005e+00 6.243217022835534369e-03
|
991 |
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-1.211240333239832045e+00 5.246906452937849519e-01 5.294281400070258853e-02
|
992 |
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-4.419911361450432064e-01 2.392680966951942878e+00 1.639137474743072309e-01
|
993 |
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-1.507084531441589548e-01 3.263504080699596077e+00 1.221132584967334900e-01
|
994 |
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-1.998496776224446547e-01 8.409366607206669730e-01 4.611930022445193122e-01
|
995 |
+
1.180738130720984103e-01 7.105169801214576530e+00 5.614041743318371608e-02
|
996 |
+
-2.243607276502432579e-01 3.219341926585398195e+00 1.236198741285582658e-01
|
997 |
+
-3.926538431626238612e+00 1.930069762842122838e+00 2.609814312815658677e-02
|
998 |
+
3.261118626008696619e+00 1.144824558014232885e+00 6.027760526444438452e-03
|
999 |
+
-1.520498038358706061e-01 1.117369294626335829e-01 1.414538319459482496e+00
|
1000 |
+
2.090916786332571053e+00 2.045816367781700951e-01 4.049072596180181446e-23
|
test/feynman-i.6.20a.txt
ADDED
@@ -0,0 +1,1000 @@
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1.043177526122182064e-01 3.967774916075443303e-01
|
998 |
+
3.290429758444787245e-01 3.779198385496520540e-01
|
999 |
+
-6.859276227541455384e-01 3.153138190813741804e-01
|
1000 |
+
4.959666677239209065e+00 1.817433334732981827e-06
|
test/feynman-i.6.20b.txt
ADDED
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test/feynman-i.9.18.txt
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test/feynman-ii.11.17.txt
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test/feynman-ii.11.20.txt
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test/feynman-ii.11.27.txt
ADDED
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|
|
test/feynman-ii.11.28.txt
ADDED
@@ -0,0 +1,1000 @@
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1 |
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2 |
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5.739447029740507140e+24 5.523483197097121070e-32 1.000000317017425866e+00
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6.593886236146730281e+24 2.377577690727293933e-32 1.000000156774776272e+00
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888 |
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7.293851696108990680e+24 1.372810173978740885e-33 1.000000010013073926e+00
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889 |
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9.383668139464786948e+23 7.387242047027564738e-32 1.000000069319429530e+00
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890 |
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5.979355974230638036e+23 5.533620037039669071e-32 1.000000033087484308e+00
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891 |
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1.027534642039317468e+23 3.274492916111614139e-33 1.000000000336465522e+00
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892 |
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1.143319442905070997e+23 3.081656577361946017e-32 1.000000003523317860e+00
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893 |
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1.287234067827644128e+23 6.113339072209122856e-32 1.000000007869298324e+00
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894 |
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1.675794648817469657e+24 2.776923807441198650e-32 1.000000046535541198e+00
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895 |
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5.008667868575522722e+24 9.949656698341876413e-33 1.000000049834526727e+00
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896 |
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8.692666227503951486e+24 6.001460559342509164e-32 1.000000521687026023e+00
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897 |
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1.684634611889857767e+24 2.107571816915121755e-32 1.000000035504884810e+00
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898 |
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9.248371901465346410e+23 2.876963511951753550e-33 1.000000002660722753e+00
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899 |
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2.282424114055997309e+24 1.528263745185395962e-33 1.000000003488145994e+00
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900 |
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1.403227219935942188e+24 8.353068143238522404e-32 1.000000117212530570e+00
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901 |
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6.098314386952615103e+24 4.697153627613666612e-32 1.000000286447222830e+00
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902 |
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9.993836556892281514e+23 1.725288014403853973e-33 1.000000001724224541e+00
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903 |
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1.996862621056156031e+23 1.404281429768585970e-33 1.000000000280415691e+00
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904 |
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6.922732076113228775e+24 2.634522457768611333e-32 1.000000182380942348e+00
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905 |
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2.081245942399682547e+24 1.356305606161479289e-33 1.000000002822805545e+00
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906 |
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5.822347513163401744e+24 8.502364066119509190e-33 1.000000049503719124e+00
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907 |
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2.088879462401635955e+24 5.586733655520789218e-33 1.000000011670013178e+00
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908 |
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5.320144305418317370e+24 2.952041664572008823e-33 1.000000015705287737e+00
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909 |
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9.483395103452390985e+24 2.306317101186034279e-32 1.000000218717179035e+00
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910 |
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1.607548312634206106e+24 1.154361193748912997e-33 1.000000001855691378e+00
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911 |
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2.351939944314118487e+24 3.246805827114432084e-33 1.000000007636292265e+00
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912 |
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3.571643289259846224e+23 3.504999710716700598e-33 1.000000001251860837e+00
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913 |
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1.601560422043818320e+23 2.645884758368256971e-32 1.000000004237544315e+00
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914 |
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5.774251909450869684e+23 6.453134648417010917e-33 1.000000003726202458e+00
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915 |
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8.223483721746235366e+23 1.997901349566764949e-32 1.000000016429709371e+00
|
916 |
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2.988855579090720188e+24 5.954255075983184560e-33 1.000000017796408569e+00
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917 |
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7.601488986994952666e+23 6.276517859303290486e-32 1.000000047710882134e+00
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918 |
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3.853382411916666816e+23 8.037211160739719769e-32 1.000000030970448428e+00
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919 |
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8.145403662331264446e+24 1.268121001107459081e-32 1.000000103293577913e+00
|
920 |
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3.733875485284949840e+23 2.176808209301389795e-33 1.000000000812793166e+00
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921 |
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1.244912836804173806e+23 3.714416377707853899e-33 1.000000000462412553e+00
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922 |
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2.497404595709711774e+24 6.847104776145884706e-33 1.000000017099990979e+00
|
923 |
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2.187897331915062598e+24 7.538637859136201524e-32 1.000000164937665748e+00
|
924 |
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4.567989066075684691e+23 8.491339074917666425e-33 1.000000003878834365e+00
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925 |
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1.102988099905884982e+23 1.019469548046011050e-33 1.000000000112446275e+00
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926 |
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2.505607349898687273e+23 1.201350818483461000e-32 1.000000003010113492e+00
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927 |
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1.524838372414454642e+24 1.151643764239276947e-32 1.000000017560706222e+00
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928 |
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3.172575865470087076e+24 8.508629253492514391e-32 1.000000269942742381e+00
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929 |
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2.710833368124587950e+24 4.165799961989453342e-32 1.000000112927899698e+00
|
930 |
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5.368375841230554137e+24 1.006886674984166891e-32 1.000000054053461929e+00
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931 |
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1.004839050687939625e+24 6.005875748925255010e-33 1.000000006034938549e+00
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932 |
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9.621370838405990853e+23 4.319015895139559010e-32 1.000000041554854224e+00
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933 |
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1.282517568917775143e+24 1.213264371138205081e-32 1.000000015560328803e+00
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934 |
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5.650210314996068100e+24 1.207407572647368927e-32 1.000000068221068794e+00
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935 |
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8.294949253107716410e+24 1.668479739161042887e-32 1.000000138399554039e+00
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936 |
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3.150439313686914925e+23 4.018112556192157607e-33 1.000000001265882066e+00
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937 |
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2.282499971898283768e+24 1.990830754779681915e-32 1.000000045440712082e+00
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938 |
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8.965474589060743907e+23 7.835089252693045120e-33 1.000000007024529403e+00
|
939 |
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6.528298145193870011e+24 6.721250212089665618e-32 1.000000438783317014e+00
|
940 |
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6.921953701439472958e+23 2.702178930192793966e-32 1.000000018704357618e+00
|
941 |
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1.320289915869385898e+23 3.776077682907974790e-32 1.000000004985517332e+00
|
942 |
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2.398661304572730136e+23 6.924356393645314174e-32 1.000000016609185804e+00
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943 |
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2.192484235317780582e+23 5.634815417258550176e-33 1.000000001235424429e+00
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944 |
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9.451225456946392062e+23 5.147262451693205619e-32 1.000000048647938788e+00
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945 |
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1.203123572347097674e+23 6.618949582117831229e-33 1.000000000796341437e+00
|
946 |
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9.377223314979183049e+23 6.534319386666626530e-32 1.000000061273773388e+00
|
947 |
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2.554727909448061288e+24 6.266509823421015581e-32 1.000000160092283874e+00
|
948 |
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1.722586914020595578e+24 2.109507892858994233e-33 1.000000003633810586e+00
|
949 |
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6.088963669872157183e+24 1.256852249625749768e-33 1.000000007652927625e+00
|
950 |
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2.165782209772436301e+24 1.471412248295759961e-33 1.000000003186758413e+00
|
951 |
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1.466920266749117091e+24 2.303269082469833757e-33 1.000000003378712199e+00
|
952 |
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1.086671230194786092e+23 6.210627187266877444e-32 1.000000006748909875e+00
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953 |
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1.644671844261366795e+23 4.993927605400743853e-32 1.000000008213372205e+00
|
954 |
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1.007790271793331930e+24 2.951070408484939104e-33 1.000000002974060109e+00
|
955 |
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8.953939480545587655e+24 3.438215614248109405e-33 1.000000030785574756e+00
|
956 |
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1.021682727615081122e+24 1.225959527839071462e-32 1.000000012525416704e+00
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957 |
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3.694733471553151870e+23 3.012677311908410326e-33 1.000000001113104053e+00
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958 |
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1.273453873987235973e+24 7.061058949580060572e-33 1.000000008991932976e+00
|
959 |
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3.877691256008435743e+24 2.053292321547498943e-33 1.000000007962033699e+00
|
960 |
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1.010775914891195787e+24 1.588764616542420166e-32 1.000000016058850250e+00
|
961 |
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3.278918654210520499e+23 1.277433419385099706e-32 1.000000004188600355e+00
|
962 |
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8.578010071746561245e+24 1.923559430048618256e-32 1.000000165003130714e+00
|
963 |
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4.477797721399012905e+23 8.758796683414903775e-33 1.000000003922012048e+00
|
964 |
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1.982068852131008348e+23 3.679608528692774636e-32 1.000000007293237569e+00
|
965 |
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3.222640580935505391e+23 3.603316637490457501e-32 1.000000011612194539e+00
|
966 |
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2.108350750179798307e+23 3.098316523223921658e-32 1.000000006532338004e+00
|
967 |
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6.914781715725584800e+23 3.170794228253533004e-32 1.000000021925350202e+00
|
968 |
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8.833840101847854712e+24 5.009387751050228194e-33 1.000000044252131071e+00
|
969 |
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1.674634035654427270e+24 6.702149216627446628e-32 1.000000112236476113e+00
|
970 |
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1.058132325997176737e+23 1.380113461774506947e-32 1.000000001460342736e+00
|
971 |
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1.193784494626871399e+24 7.231108484465632316e-32 1.000000086323854287e+00
|
972 |
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1.186923936627765564e+23 7.631445558038530473e-32 1.000000009057945505e+00
|
973 |
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1.988454550898828470e+24 3.933071884897337297e-33 1.000000007820734726e+00
|
974 |
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4.710643774032046025e+24 1.528453249307959523e-32 1.000000071999989526e+00
|
975 |
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1.095327813255594854e+23 5.571403465553504087e-33 1.000000000610251405e+00
|
976 |
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1.306135380431888882e+24 1.943894912637880611e-33 1.000000002538989907e+00
|
977 |
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3.752132900322419262e+23 1.290830688053341646e-32 1.000000004843368373e+00
|
978 |
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4.640293106681597290e+24 3.682762353343204904e-32 1.000000170890977369e+00
|
979 |
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2.290680391956661283e+23 3.904912054357512982e-33 1.000000000894490482e+00
|
980 |
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6.769608257981223440e+23 2.075350891888493953e-32 1.000000014049312602e+00
|
981 |
+
4.072849047027533490e+23 2.465258565838632206e-33 1.000000001004062611e+00
|
982 |
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8.653314156719655061e+23 5.332676769357394634e-33 1.000000004614532756e+00
|
983 |
+
1.161740945895822243e+24 5.162496773664672366e-32 1.000000059974839983e+00
|
984 |
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1.899193453575437864e+23 7.841197151781456527e-32 1.000000014891950340e+00
|
985 |
+
1.867069499801775070e+23 2.006369054929290596e-33 1.000000000374603015e+00
|
986 |
+
7.922973763867536049e+24 1.984115519214902792e-33 1.000000015720095226e+00
|
987 |
+
1.933690710291726121e+24 3.495053590123395509e-33 1.000000006758352766e+00
|
988 |
+
3.128731320553430600e+24 6.248591341868371024e-33 1.000000019550163488e+00
|
989 |
+
1.579961263070855498e+23 1.711429499468559941e-32 1.000000002703992363e+00
|
990 |
+
1.513585920816632457e+23 2.008754746135827416e-32 1.000000003040422802e+00
|
991 |
+
3.660079671620880680e+23 1.921875575055021826e-33 1.000000000703421765e+00
|
992 |
+
3.011330831346994785e+24 7.535418043576416589e-33 1.000000022691636792e+00
|
993 |
+
1.471391134892735007e+23 5.884081777272463752e-33 1.000000000865778560e+00
|
994 |
+
1.900194994158173579e+23 6.353587279212212219e-32 1.000000012073054778e+00
|
995 |
+
1.850437802635048633e+23 1.076076658158423735e-32 1.000000001991212972e+00
|
996 |
+
1.164623415987614549e+24 4.599428042210872213e-33 1.000000005356601607e+00
|
997 |
+
6.002715874877555952e+24 3.494566800114867369e-32 1.000000209768930670e+00
|
998 |
+
1.036606569392776245e+23 4.900529897572081034e-32 1.000000005079921594e+00
|
999 |
+
6.195628391407712280e+23 6.271006319497284086e-33 1.000000003885282540e+00
|
1000 |
+
5.187588813006936239e+24 2.579571229477588845e-32 1.000000133817554593e+00
|
test/feynman-ii.13.23.txt
ADDED
@@ -0,0 +1,1000 @@
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909 |
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6.651105630063747502e+27 2.465560406620510854e+06 6.651330574766286383e+27
|
910 |
+
3.378086446404952276e+27 5.848178062965222634e+06 3.378729377607962727e+27
|
911 |
+
4.325117290287130231e+27 2.196070034211979806e+07 4.336768499278902523e+27
|
912 |
+
4.608967578547730110e+27 5.622992712118767202e+07 4.692242666992545395e+27
|
913 |
+
1.780771520773312792e+27 5.278656250668110698e+07 1.809035175338576964e+27
|
914 |
+
1.020291754707076976e+27 2.246098546363823116e+07 1.023167455320918886e+27
|
915 |
+
1.342886191170407866e+28 3.275820472501106933e+07 1.350975631858740192e+28
|
916 |
+
5.186922321112971136e+28 1.060007049313387135e+06 5.186954744615064018e+28
|
917 |
+
5.217352626418756922e+28 1.674833524839371257e+07 5.225513565403789425e+28
|
918 |
+
6.988559374114761464e+27 3.223343150620561838e+07 7.029308180731981213e+27
|
919 |
+
5.372367167939796179e+28 1.384788741539388895e+06 5.372424482937946233e+28
|
920 |
+
1.395531623980733012e+28 9.527319814361209050e+06 1.396236867141291787e+28
|
921 |
+
3.641748149784305362e+27 4.724554667829292826e+06 3.642200464970223518e+27
|
922 |
+
2.853117557620239146e+28 1.112617966807548190e+06 2.853137206820944508e+28
|
923 |
+
8.612843136907679829e+27 6.618883816444075108e+07 8.830758560746596748e+27
|
924 |
+
1.060545494536571731e+28 1.084052223832442053e+07 1.061239534476648475e+28
|
925 |
+
1.520713568956301474e+27 1.843701637227669358e+06 1.520742327680888613e+27
|
926 |
+
1.962057211558764295e+27 6.670541820526224375e+07 2.012507814492440766e+27
|
927 |
+
5.298195155575574216e+27 8.312161186637189984e+07 5.514393483392457458e+27
|
928 |
+
2.625548787609417421e+28 6.278993630524839275e+06 2.626124852874123062e+28
|
929 |
+
5.805489561653298938e+27 1.303758303469158895e+07 5.810987225499737005e+27
|
930 |
+
1.478123876555547207e+28 2.248858754803217947e+07 1.482300269855249728e+28
|
931 |
+
2.649095809160017903e+27 9.369724220196989179e+07 2.788802305878655634e+27
|
932 |
+
1.639489350167466875e+28 1.391241196795257553e+07 1.641257602421038463e+28
|
933 |
+
7.993956262286994317e+27 3.566103640758345835e+06 7.994521881794472697e+27
|
934 |
+
7.732102741890349345e+28 5.434578981953274459e+06 7.733373506402204802e+28
|
935 |
+
2.137475800407899458e+28 2.930186767749128863e+07 2.147759415136300503e+28
|
936 |
+
5.320820800560036858e+28 5.628540099906844087e+06 5.321758823788211527e+28
|
937 |
+
4.643688387058801036e+28 2.675590594337722287e+07 4.662293612961868167e+28
|
938 |
+
1.479041005574294096e+27 1.072318106314799981e+06 1.479050467080071672e+27
|
939 |
+
3.570460639892517800e+27 5.628575584461668134e+07 3.635103593092907734e+27
|
940 |
+
9.970056064146897910e+28 7.372673160814300179e+07 1.028595172871199285e+29
|
941 |
+
1.149601042861822778e+28 5.261455639049696177e+07 1.167725487395286316e+28
|
942 |
+
1.660607098357103547e+28 9.075855310277599841e+06 1.661368597230665006e+28
|
943 |
+
3.380982744832390689e+27 5.668718345723889768e+07 3.443095749661747143e+27
|
944 |
+
4.320302805945142461e+28 1.437422225333477836e+06 4.320352467348175105e+28
|
945 |
+
1.528107735606099348e+28 3.318056503862320632e+07 1.537554056500935295e+28
|
946 |
+
4.647067060505055813e+27 1.465397692571660876e+07 4.652628633496282403e+27
|
947 |
+
1.255973308948199978e+27 8.753047894931685925e+07 1.313192520280713729e+27
|
948 |
+
2.414010398550487757e+27 2.198304337832265068e+06 2.414075300969359118e+27
|
949 |
+
2.524238412761416244e+27 1.650236624912464060e+07 2.528071420883033503e+27
|
950 |
+
7.714035261531207446e+27 1.295845744817626663e+07 7.721251750037347926e+27
|
951 |
+
1.782574411509090146e+27 1.079849412184192101e+06 1.782585975477189958e+27
|
952 |
+
8.400125329078757910e+28 1.076352237135988288e+07 8.405544630614920317e+28
|
953 |
+
1.137858973138948139e+28 5.346722229129377753e+06 1.138039980360378772e+28
|
954 |
+
2.293561518055989792e+27 9.129525072442276776e+07 2.407930189025806938e+27
|
955 |
+
8.235201923966251990e+28 4.267737371932950616e+07 8.319936601468111757e+28
|
956 |
+
1.864996364060554594e+28 2.434421252094465308e+06 1.865057856189336850e+28
|
957 |
+
8.707134310521492549e+28 7.299194711820366979e+07 8.977286064017485794e+28
|
958 |
+
1.794406752289438683e+27 8.057083050367882848e+07 1.862947440036082539e+27
|
959 |
+
1.968248667191096945e+28 1.607712838318525441e+07 1.971085041255760227e+28
|
960 |
+
5.443062437712224275e+28 7.005230021503204480e+06 5.444549039352254461e+28
|
961 |
+
1.580269097771192117e+27 2.319486257247759774e+07 1.585020244174348791e+27
|
962 |
+
2.358010805612518751e+28 3.573592620991988573e+06 2.358178350337923039e+28
|
963 |
+
1.992362840972365050e+28 5.713043321855615079e+07 2.029555941625044061e+28
|
964 |
+
3.092569229389205990e+28 1.969935115834381059e+07 3.099267474888808013e+28
|
965 |
+
1.319053302308307737e+27 5.672910348936810344e+07 1.343322858160635485e+27
|
966 |
+
3.469290050152160540e+27 5.253925367561791837e+07 3.523826216863799200e+27
|
967 |
+
2.240608846706173555e+28 2.137171968474062905e+07 2.246324064380950691e+28
|
968 |
+
2.033971465890789746e+27 1.042372993834210001e+07 2.035202056940188385e+27
|
969 |
+
4.544826021005466674e+27 3.674732151625319384e+06 4.545167485995044521e+27
|
970 |
+
5.025707748538185893e+28 5.608823799635911360e+06 5.026587547514042904e+28
|
971 |
+
1.779906802951095777e+27 1.520451607561016921e+06 1.779929694724794859e+27
|
972 |
+
2.739785856196087552e+27 2.618122811120666191e+07 2.750293810116183680e+27
|
973 |
+
2.560051092196556097e+27 7.629139867005686276e+06 2.560880445132063711e+27
|
974 |
+
3.598628818848378500e+27 7.170072378748348914e+06 3.599658491307698455e+27
|
975 |
+
1.872657738244759937e+27 1.079601804076315602e+06 1.872669881033391055e+27
|
976 |
+
7.190094050077971455e+28 8.815946357703049481e+07 7.522715403032396600e+28
|
977 |
+
1.070584778272941685e+28 5.191604912599368393e+07 1.087007980972643002e+28
|
978 |
+
8.300780568490409821e+27 3.055363907276900858e+07 8.344228874857651182e+27
|
979 |
+
9.452452864288460174e+28 1.767158406959751388e+06 9.452617087824448722e+28
|
980 |
+
3.366285691076222920e+27 1.835871815108414507e+06 3.366348812457444922e+27
|
981 |
+
5.032188129785193433e+27 3.685335231280489359e+06 5.032568396830893440e+27
|
982 |
+
1.294665637615460247e+27 2.944118213829630986e+06 1.294728072616409463e+27
|
983 |
+
3.276823888639899933e+28 2.445757258732145652e+06 3.276932939747529103e+28
|
984 |
+
1.881349164765777459e+28 8.038197125345608592e+07 1.952854856600482092e+28
|
985 |
+
5.584125018636130667e+27 5.143801388255918026e+07 5.668181839063462778e+27
|
986 |
+
4.803077450095957195e+28 4.171843614544346463e+06 4.803542572553932344e+28
|
987 |
+
1.125228844646599048e+28 5.666729655129990540e+06 1.125429916295678382e+28
|
988 |
+
4.497129354937581689e+27 8.880058014029311016e+06 4.499103511000375087e+27
|
989 |
+
9.045721672454794530e+27 1.149011096135335788e+07 9.052372857871132773e+27
|
990 |
+
3.025687817184087197e+28 9.621496848301494494e+06 3.027247275085020532e+28
|
991 |
+
2.952226365735613425e+27 2.661340638180074468e+07 2.963928238714738998e+27
|
992 |
+
5.367865870394637837e+27 6.209936908846956491e+07 5.486870288496025021e+27
|
993 |
+
2.192520400915254008e+27 1.819816070252637193e+07 2.196571095322028076e+27
|
994 |
+
1.045292664969400830e+28 5.268846891012040526e+07 1.061820037608916986e+28
|
995 |
+
4.737389152547418910e+27 1.447574464635974495e+06 4.737444380263194038e+27
|
996 |
+
8.721572373296727359e+27 1.477267599329167977e+06 8.721678262002905929e+27
|
997 |
+
2.770830587060233787e+27 2.197757554289781488e+06 2.770905045792929524e+27
|
998 |
+
5.397118374874410186e+28 1.660727917892981786e+06 5.397201187682355058e+28
|
999 |
+
3.792464392917602804e+27 1.928861050332223624e+07 3.800338529123876157e+27
|
1000 |
+
1.192455461223396536e+27 1.077175764485955704e+06 1.192463158695395111e+27
|
test/feynman-ii.13.34.txt
ADDED
@@ -0,0 +1,1000 @@
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5.195498183954907664e+27 3.171296793920659460e+06 1.647738867413496312e+34
|
926 |
+
1.046081716276502970e+28 9.589946475476132706e+06 1.003700427361965654e+35
|
927 |
+
1.193265568139505408e+27 1.024458179334489256e+07 1.223165050880138519e+34
|
928 |
+
1.073283645116646632e+27 1.163030264697868843e+06 1.248270755237937430e+33
|
929 |
+
4.229517564107338809e+27 1.781213786448076367e+07 7.547007731110993645e+34
|
930 |
+
1.694083351220948060e+28 5.621961681288928725e+06 9.525746788722311928e+34
|
931 |
+
6.724710220659921337e+28 1.052870597052251361e+07 7.084620145072154962e+35
|
932 |
+
5.429254104027582446e+28 5.747461313928302377e+07 3.179418773112373075e+36
|
933 |
+
1.563132527599439230e+27 3.767865262487301137e+06 5.890137975229535323e+33
|
934 |
+
2.205467763026758842e+28 1.168577831979048811e+07 2.579220923952578842e+35
|
935 |
+
2.042713243877983025e+27 1.694098445863390714e+07 3.466095849854208829e+34
|
936 |
+
4.736223661007643398e+27 2.829155790733702946e+06 1.340011130274304279e+34
|
937 |
+
2.251059337936606815e+27 1.132996126641164068e+06 2.550459724727349036e+33
|
938 |
+
7.645400758953691873e+28 1.251887501433122531e+07 9.579537552952344429e+35
|
939 |
+
8.722934462799972747e+28 6.349576429439943284e+06 5.539936621276603942e+35
|
940 |
+
1.553558552635451502e+28 1.732182572422422934e+06 2.691091970976162106e+34
|
941 |
+
1.290023658418234684e+28 2.895801206208314002e+07 3.753202370680200784e+35
|
942 |
+
2.948531392301058966e+27 5.897879085226930678e+06 1.739344789373008554e+34
|
943 |
+
8.032357124700420175e+27 4.462163376589494944e+07 3.624542656138136264e+35
|
944 |
+
5.265997900183782953e+27 6.327545478324064985e+06 3.332826558295503883e+34
|
945 |
+
1.600417159290913543e+28 1.018346551161520416e+06 1.629788697278571640e+34
|
946 |
+
2.703029586812396507e+28 3.122441652709752787e+06 8.440509993498385071e+34
|
947 |
+
3.472345948972827896e+28 1.373642773228178499e+06 4.769812989214046367e+34
|
948 |
+
1.358981947004372352e+28 1.369560292336651683e+07 1.863152921224876310e+35
|
949 |
+
2.156216086140005889e+28 3.657077778707870841e+07 7.944783963905038329e+35
|
950 |
+
7.307831094020991981e+27 1.449077126226877095e+06 1.058973458908191700e+34
|
951 |
+
1.114749539122497568e+27 4.681213378003747761e+07 5.283186155471750610e+34
|
952 |
+
1.497054517094033119e+27 2.350827229456211906e+06 3.519424728027047053e+33
|
953 |
+
1.693112883496371786e+27 1.482172432291999226e+06 2.509515911022259069e+33
|
954 |
+
2.074869962040916626e+28 3.993076497042580973e+06 8.285849501548562963e+34
|
955 |
+
9.190423440327661903e+28 4.898200834575619549e+07 4.562970464259912152e+36
|
956 |
+
1.542086464197848940e+27 7.908697393575546145e+07 1.264379103621770589e+35
|
957 |
+
4.558778603939801609e+28 6.171034268993245438e+06 2.813834094906329583e+35
|
958 |
+
9.413674323753448337e+28 9.052221882888264954e+06 8.525354192460661791e+35
|
959 |
+
6.873371162813685639e+27 6.211586151128035039e+07 4.364158540398747770e+35
|
960 |
+
2.201926113956526206e+28 8.199820991870461032e+06 1.806215750538366422e+35
|
961 |
+
5.361032238061800427e+28 2.065986994470557198e+07 1.110221717381282237e+36
|
962 |
+
3.070144138717467581e+28 1.089845082585432101e+06 3.346003602268847802e+34
|
963 |
+
1.515211553547988955e+27 4.568521349200499244e+06 6.923080235507679465e+33
|
964 |
+
1.099287274956505792e+28 2.454894956322345883e+07 2.707728251190188104e+35
|
965 |
+
2.058980846620094615e+27 4.348828215662706643e+07 9.049877538754669021e+34
|
966 |
+
9.386318539457813236e+28 5.587207813946218044e+07 5.337851545354098891e+36
|
967 |
+
1.206177210826405435e+27 5.637508384905316867e+06 6.801036726754384341e+33
|
968 |
+
3.290681653479868079e+27 2.115420112647352368e+07 6.978569371826912026e+34
|
969 |
+
1.124085697399504500e+28 4.005247888718873262e+07 4.542968467552617175e+35
|
970 |
+
3.331930337610532659e+27 8.683431600462516770e+06 2.894473347182378967e+34
|
971 |
+
8.599357606510317291e+27 3.297098950553670153e+07 2.852597525112100267e+35
|
972 |
+
7.193596334897570185e+28 9.872870269890971482e+07 7.521727735076862467e+36
|
973 |
+
7.137973603369261896e+28 5.606591852348479629e+07 4.073845687250849240e+36
|
974 |
+
5.584313236040451225e+27 7.010100772137388587e+07 4.026280151864906552e+35
|
975 |
+
4.357972383639864203e+27 3.164423990387754049e+06 1.379124066472471428e+34
|
976 |
+
4.161340928475595471e+27 3.341989049032102153e+07 1.399438221407209225e+35
|
977 |
+
1.376905611008302370e+27 1.667543124990419298e+07 2.299609675475255187e+34
|
978 |
+
4.308729256839030212e+27 5.642743117665491253e+07 2.475551824528805512e+35
|
979 |
+
1.051318718058722451e+28 7.167113058449181914e+07 7.759938602495309704e+35
|
980 |
+
8.352780403853684202e+28 3.377168496496520936e+07 2.838945405955591738e+36
|
981 |
+
1.556020169224750956e+28 1.311467206608738285e+06 2.040688951168074874e+34
|
982 |
+
3.154304807307655488e+27 2.911259393283351511e+07 9.226606873120390181e+34
|
983 |
+
6.463696185683977610e+27 9.164935494271926582e+07 6.221805507816350914e+35
|
984 |
+
2.689305698079723815e+27 2.024507597886490403e+06 5.444643967410792747e+33
|
985 |
+
1.749666152697928004e+27 3.691821848254955560e+07 6.508998489277115535e+34
|
986 |
+
1.464048745608978961e+28 8.822331195042099059e+07 1.351477258603341111e+36
|
987 |
+
2.252018984236000441e+28 5.713412692660690844e+07 1.310693947417931088e+36
|
988 |
+
3.963281364766881053e+27 1.488730869835058041e+07 5.907547781016113255e+34
|
989 |
+
9.454014686785454825e+28 2.885016131358313933e+07 2.740216492114575346e+36
|
990 |
+
2.096451005068740438e+27 3.464402777519840281e+06 7.263435685130337268e+33
|
991 |
+
2.928846050112542419e+28 2.808277388796002138e+06 8.225373026870448775e+34
|
992 |
+
6.267647820592612352e+28 7.300567606235014275e+06 4.577096028477929652e+35
|
993 |
+
6.319711286421717691e+28 1.791417528137836140e+06 1.132144369993950619e+35
|
994 |
+
1.627844195489996323e+27 2.854397194689386524e+06 4.646724532065197026e+33
|
995 |
+
4.513075096738121972e+27 2.432394338254991453e+06 1.097793966050841311e+34
|
996 |
+
2.178905666427408391e+27 4.594830608566720039e+06 1.001287857044618894e+34
|
997 |
+
1.494942954845076746e+28 1.776997881976920646e+06 2.656557133102775902e+34
|
998 |
+
4.141742324994258986e+28 3.510206100442787260e+07 1.463906311320338911e+36
|
999 |
+
5.715297457476709594e+27 1.004963535799279995e+07 5.746895407404749968e+34
|
1000 |
+
1.144791654795434156e+28 8.987174662202287465e+06 1.029306867928409160e+35
|
test/feynman-ii.24.17.txt
ADDED
@@ -0,0 +1,1000 @@
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1000 |
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