VBMicrolensing

VBMicrolensing is a tool for efficient computation in gravitational microlensing events using the advanced contour integration method, supporting single, binary and multiple lenses.

In particular, VBMicrolensing is designed for the following calculations:

Magnification by single, binary and multiple lenses
Centroid of the images generated by single and binary lenses
Critical curves and caustics of binary and multiple lenses
Complete light curves including several higher order effects: limb darkening of the source, binary source, parallax, xallarap, circular and elliptic orbital motion.

VBMicrolensing is written as a C++ library and wrapped as a Python package, the user can call the code from either C++ or Python. This new code encompasses the well-known VBBinaryLensing code, which is at the basis of several platforms for microlensing modeling. VBBinaryLensing will still be available as a legacy software, but will no longer be maintained.

VBMicrolensing has been developed by Valerio Bozza, University of Salerno, with a substantial contribution by Vito Saggese, University of Naples and Jiyuan Zhang, Tisnghua University. We also acknowledge a long list of collaborators who contributed to testing and development of particular aspects over the years: Natasha Abrams, Etienne Bachelet, Fran Bartolic, Dex Bhadra, Sebastiano Calchi Novati, Giovanni Covone, Giuseppe D'Ago, Jason Eastman, Alvaro Gutierrez, Tyler Heintz, Ava Hoag, Markus Hundertmark, Elahe Khalouei, Jessica Lu, Amber Malpas, Lawrence Peirson, Matthew Penny, Radek Poleski, Haibin Ren, Paolo Rota, Sedighe Sajadian, Rachel Street, Keto Zhang, Weicheng Zhang, Wei Zhu.

Attribution

Any use of this code for scientific publications should be acknowledged by a citation to the works relevant to your study:

V. Bozza, MNRAS 408 (2010) 2188: general algorithm for binary lensing;
V. Bozza, E. Bachelet, F. Bartolic, T. Heintz, A. Hoag, M. Hundertmark, MNRAS 479 (2018) 5157: BinaryMag2 function, Extended-Source-Point-Lens methods;
V. Bozza, E. Khalouei and E. Bachelet, MNRAS 505 (2021) 126: astrometry, generalized limb darkening, Keplerian orbital motion;
V. Bozza, v. Saggese, G. Covone, P. Rota & J. Zhang, A&A 694 (2025) 219: multiple lenses.

If specifically relevant to your work, please also cite J. Skowron and A. Gould, arXiv:1203.1034.

Installation

Python

The easiest way to install VBMicrolensing is through pip install VBMicrolensing.

Pre-built packages are available on conda-forge under the name vbmicrolensing:

conda install -c conda-forge vbmicrolensing

If you use mamba or micromamba:

mamba install -c conda-forge vbmicrolensing

In alternative, in order to use the latest build, clone this GitHub repository on your computer, enter your local copy of the repository and run

pip install .

Currently, VBMicrolensing works on Linux, Windows, MacOS and python >= 3.8. The package requires a C++ compiler supporting C++17.

C++

If you just want to use the C++ library, clone this repository, all cpp files and the VBMicrolensing.h are located in in VBMicrolensing/lib and should be added to your project.

The package also contains the following files:

VBMicrolensing/data/ESPL.tbl - Pre-calculated table for Extended-source-point-lens
VBMicrolensing/data/SunEphemeris.txt - Sun ephemeris for parallax calculation
VBMicrolensing/data/OB151212coords.txt - Sample file with event coordinates
VBMicrolensing/data/satellite1.txt - Sample table for satellite position (Spitzer)
VBMicrolensing/data/satellite2.txt - Sample table for satellite position (Kepler)

Documentation

Full documentation for the use of VBmicrolensing in python and documentation for the use of VBmicrolensing in C++ are available.

Furthermore, the vast majority of functions are documented with Python docstrings which can be accessed as, for example, ?VBBL.BinaryMag2() in a Jupyter notebook.

We also provide some examples showing the capabilities of the package. In particular, we reproduce some known triple-lense microlensing events.

License

VBMicrolensing is freely available to the community under the GNU Lesser General Public License Version 3 included in this repository.

Metadata

Release files for VBMicrolensing 5.6.1

For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.

Source distribution (sdist)

Source distribution for VBMicrolensing 5.6.1
File	Size	Uploaded
vbmicrolensing-5.6.1.tar.gz	3.0 MB	Oct 8, 2026	Details

Built distributions (wheels)

Table of built distributions (wheels) for VBMicrolensing 5.6.1
File	Interpreter	ABI	Platform	Reset
vbmicrolensing-5.6.1-cp314-cp314t-win_amd64.whl 1.5 MB Oct 8, 2026	CPython 3.14	CPython 3.14 free-threading	Windows x86-64	Details
vbmicrolensing-5.6.1-cp314-cp314t-win32.whl 1.4 MB Oct 8, 2026	CPython 3.14	CPython 3.14 free-threading	Windows x86-32	Details
vbmicrolensing-5.6.1-cp314-cp314t-musllinux_1_2_x86_64.whl 2.5 MB Oct 8, 2026	CPython 3.14	CPython 3.14 free-threading	Linux musl 1.2+ x86-64	Details
vbmicrolensing-5.6.1-cp314-cp314t-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl 1.6 MB Oct 8, 2026	CPython 3.14	CPython 3.14 free-threading	Linux glibc 2.28+ x86-64, Linux glibc 2.27+ x86-64	Details
vbmicrolensing-5.6.1-cp314-cp314t-macosx_11_0_x86_64.whl 1.5 MB Oct 8, 2026	CPython 3.14	CPython 3.14 free-threading	macOS 11.0+ x86-64	Details
vbmicrolensing-5.6.1-cp314-cp314t-macosx_11_0_arm64.whl 1.4 MB Oct 8, 2026	CPython 3.14	CPython 3.14 free-threading	macOS 11.0+ ARM64	Details
vbmicrolensing-5.6.1-cp314-cp314-win_amd64.whl 1.5 MB Oct 8, 2026	CPython 3.14	CPython 3.14	Windows x86-64	Details
vbmicrolensing-5.6.1-cp314-cp314-win32.whl 1.4 MB Oct 8, 2026	CPython 3.14	CPython 3.14	Windows x86-32	Details
vbmicrolensing-5.6.1-cp314-cp314-musllinux_1_2_x86_64.whl 2.5 MB Oct 8, 2026	CPython 3.14	CPython 3.14	Linux musl 1.2+ x86-64	Details
vbmicrolensing-5.6.1-cp314-cp314-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl 1.6 MB Oct 8, 2026	CPython 3.14	CPython 3.14	Linux glibc 2.28+ x86-64, Linux glibc 2.27+ x86-64	Details
vbmicrolensing-5.6.1-cp314-cp314-macosx_11_0_x86_64.whl 1.5 MB Oct 8, 2026	CPython 3.14	CPython 3.14	macOS 11.0+ x86-64	Details
vbmicrolensing-5.6.1-cp314-cp314-macosx_11_0_arm64.whl 1.4 MB Oct 8, 2026	CPython 3.14	CPython 3.14	macOS 11.0+ ARM64	Details
vbmicrolensing-5.6.1-cp313-cp313-win_amd64.whl 1.4 MB Oct 8, 2026	CPython 3.13	CPython 3.13	Windows x86-64	Details
vbmicrolensing-5.6.1-cp313-cp313-win32.whl 1.4 MB Oct 8, 2026	CPython 3.13	CPython 3.13	Windows x86-32	Details
vbmicrolensing-5.6.1-cp313-cp313-musllinux_1_2_x86_64.whl 2.5 MB Oct 8, 2026	CPython 3.13	CPython 3.13	Linux musl 1.2+ x86-64	Details
vbmicrolensing-5.6.1-cp313-cp313-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl 1.6 MB Oct 8, 2026	CPython 3.13	CPython 3.13	Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64	Details
vbmicrolensing-5.6.1-cp313-cp313-macosx_11_0_x86_64.whl 1.5 MB Oct 8, 2026	CPython 3.13	CPython 3.13	macOS 11.0+ x86-64	Details
vbmicrolensing-5.6.1-cp313-cp313-macosx_11_0_arm64.whl 1.4 MB Oct 8, 2026	CPython 3.13	CPython 3.13	macOS 11.0+ ARM64	Details
vbmicrolensing-5.6.1-cp312-cp312-win_amd64.whl 1.4 MB Oct 8, 2026	CPython 3.12	CPython 3.12	Windows x86-64	Details
vbmicrolensing-5.6.1-cp312-cp312-win32.whl 1.4 MB Oct 8, 2026	CPython 3.12	CPython 3.12	Windows x86-32	Details
vbmicrolensing-5.6.1-cp312-cp312-musllinux_1_2_x86_64.whl 2.5 MB Oct 8, 2026	CPython 3.12	CPython 3.12	Linux musl 1.2+ x86-64	Details
vbmicrolensing-5.6.1-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl 1.6 MB Oct 8, 2026	CPython 3.12	CPython 3.12	Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64	Details
vbmicrolensing-5.6.1-cp312-cp312-macosx_11_0_x86_64.whl 1.5 MB Oct 8, 2026	CPython 3.12	CPython 3.12	macOS 11.0+ x86-64	Details
vbmicrolensing-5.6.1-cp312-cp312-macosx_11_0_arm64.whl 1.4 MB Oct 8, 2026	CPython 3.12	CPython 3.12	macOS 11.0+ ARM64	Details
vbmicrolensing-5.6.1-cp311-cp311-win_amd64.whl 1.4 MB Oct 8, 2026	CPython 3.11	CPython 3.11	Windows x86-64	Details
vbmicrolensing-5.6.1-cp311-cp311-win32.whl 1.4 MB Oct 8, 2026	CPython 3.11	CPython 3.11	Windows x86-32	Details
vbmicrolensing-5.6.1-cp311-cp311-musllinux_1_2_x86_64.whl 2.5 MB Oct 8, 2026	CPython 3.11	CPython 3.11	Linux musl 1.2+ x86-64	Details
vbmicrolensing-5.6.1-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl 1.6 MB Oct 8, 2026	CPython 3.11	CPython 3.11	Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64	Details
vbmicrolensing-5.6.1-cp311-cp311-macosx_11_0_x86_64.whl 1.4 MB Oct 8, 2026	CPython 3.11	CPython 3.11	macOS 11.0+ x86-64	Details
vbmicrolensing-5.6.1-cp311-cp311-macosx_11_0_arm64.whl 1.4 MB Oct 8, 2026	CPython 3.11	CPython 3.11	macOS 11.0+ ARM64	Details
vbmicrolensing-5.6.1-cp310-cp310-win_amd64.whl 1.4 MB Oct 8, 2026	CPython 3.10	CPython 3.10	Windows x86-64	Details
vbmicrolensing-5.6.1-cp310-cp310-win32.whl 1.4 MB Oct 8, 2026	CPython 3.10	CPython 3.10	Windows x86-32	Details
vbmicrolensing-5.6.1-cp310-cp310-musllinux_1_2_x86_64.whl 2.5 MB Oct 8, 2026	CPython 3.10	CPython 3.10	Linux musl 1.2+ x86-64	Details
vbmicrolensing-5.6.1-cp310-cp310-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl 1.6 MB Oct 8, 2026	CPython 3.10	CPython 3.10	Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64	Details
vbmicrolensing-5.6.1-cp310-cp310-macosx_11_0_x86_64.whl 1.4 MB Oct 8, 2026	CPython 3.10	CPython 3.10	macOS 11.0+ x86-64	Details
vbmicrolensing-5.6.1-cp310-cp310-macosx_11_0_arm64.whl 1.4 MB Oct 8, 2026	CPython 3.10	CPython 3.10	macOS 11.0+ ARM64	Details
vbmicrolensing-5.6.1-cp39-cp39-win_amd64.whl 1.4 MB Oct 8, 2026	CPython 3.9	CPython 3.9	Windows x86-64	Details
vbmicrolensing-5.6.1-cp39-cp39-win32.whl 1.4 MB Oct 8, 2026	CPython 3.9	CPython 3.9	Windows x86-32	Details
vbmicrolensing-5.6.1-cp39-cp39-musllinux_1_2_x86_64.whl 2.5 MB Oct 8, 2026	CPython 3.9	CPython 3.9	Linux musl 1.2+ x86-64	Details
vbmicrolensing-5.6.1-cp39-cp39-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl 1.6 MB Oct 8, 2026	CPython 3.9	CPython 3.9	Linux glibc 2.28+ x86-64, Linux glibc 2.27+ x86-64	Details
vbmicrolensing-5.6.1-cp39-cp39-macosx_11_0_x86_64.whl 1.4 MB Oct 8, 2026	CPython 3.9	CPython 3.9	macOS 11.0+ x86-64	Details
vbmicrolensing-5.6.1-cp39-cp39-macosx_11_0_arm64.whl 1.4 MB Oct 8, 2026	CPython 3.9	CPython 3.9	macOS 11.0+ ARM64	Details
vbmicrolensing-5.6.1-cp38-cp38-win_amd64.whl 1.4 MB Oct 8, 2026	CPython 3.8	CPython 3.8	Windows x86-64	Details
vbmicrolensing-5.6.1-cp38-cp38-win32.whl 1.4 MB Oct 8, 2026	CPython 3.8	CPython 3.8	Windows x86-32	Details
vbmicrolensing-5.6.1-cp38-cp38-musllinux_1_2_x86_64.whl 2.5 MB Oct 8, 2026	CPython 3.8	CPython 3.8	Linux musl 1.2+ x86-64	Details
vbmicrolensing-5.6.1-cp38-cp38-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl 1.6 MB Oct 8, 2026	CPython 3.8	CPython 3.8	Linux glibc 2.27+ x86-64, Linux glibc 2.28+ x86-64	Details
vbmicrolensing-5.6.1-cp38-cp38-macosx_11_0_x86_64.whl 1.5 MB Oct 8, 2026	CPython 3.8	CPython 3.8	macOS 11.0+ x86-64	Details
vbmicrolensing-5.6.1-cp38-cp38-macosx_11_0_arm64.whl 1.4 MB Oct 8, 2026	CPython 3.8	CPython 3.8	macOS 11.0+ ARM64	Details

Total release size: 81.2 MB

Release files / vbmicrolensing-5.6.1.tar.gz

Download URL	vbmicrolensing-5.6.1.tar.gz
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Release files / vbmicrolensing-5.6.1-cp314-cp314t-win_amd64.whl

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Release files / vbmicrolensing-5.6.1-cp314-cp314t-musllinux_1_2_x86_64.whl

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Release files / vbmicrolensing-5.6.1-cp314-cp314t-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl

Download URL	vbmicrolensing-5.6.1-cp314-cp314t-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
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Release files / vbmicrolensing-5.6.1-cp314-cp314t-macosx_11_0_x86_64.whl

Download URL	vbmicrolensing-5.6.1-cp314-cp314t-macosx_11_0_x86_64.whl
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Download URL	vbmicrolensing-5.6.1-cp314-cp314t-macosx_11_0_arm64.whl
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Release files / vbmicrolensing-5.6.1-cp314-cp314-win_amd64.whl

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Release files / vbmicrolensing-5.6.1-cp313-cp313-win_amd64.whl

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Size	1.4 MB
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Uploaded via	`twine/7.0.0 CPython/3.13.14`

Release files / vbmicrolensing-5.6.1-cp313-cp313-win32.whl

Download URL	vbmicrolensing-5.6.1-cp313-cp313-win32.whl
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Release files / vbmicrolensing-5.6.1-cp313-cp313-musllinux_1_2_x86_64.whl

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Release files / vbmicrolensing-5.6.1-cp313-cp313-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl

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Release files / vbmicrolensing-5.6.1-cp313-cp313-macosx_11_0_x86_64.whl

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Release files / vbmicrolensing-5.6.1-cp313-cp313-macosx_11_0_arm64.whl

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Release files / vbmicrolensing-5.6.1-cp312-cp312-win_amd64.whl

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Release files / vbmicrolensing-5.6.1-cp312-cp312-win32.whl

Download URL	vbmicrolensing-5.6.1-cp312-cp312-win32.whl
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Release files / vbmicrolensing-5.6.1-cp312-cp312-musllinux_1_2_x86_64.whl

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Release files / vbmicrolensing-5.6.1-cp312-cp312-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl

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Release files / vbmicrolensing-5.6.1-cp312-cp312-macosx_11_0_x86_64.whl

Download URL	vbmicrolensing-5.6.1-cp312-cp312-macosx_11_0_x86_64.whl
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Release files / vbmicrolensing-5.6.1-cp312-cp312-macosx_11_0_arm64.whl

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Release files / vbmicrolensing-5.6.1-cp311-cp311-win_amd64.whl

Download URL	vbmicrolensing-5.6.1-cp311-cp311-win_amd64.whl
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Release files / vbmicrolensing-5.6.1-cp311-cp311-win32.whl

Download URL	vbmicrolensing-5.6.1-cp311-cp311-win32.whl
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Release files / vbmicrolensing-5.6.1-cp311-cp311-musllinux_1_2_x86_64.whl

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Release files / vbmicrolensing-5.6.1-cp311-cp311-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl

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Release files / vbmicrolensing-5.6.1-cp311-cp311-macosx_11_0_x86_64.whl

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Release files / vbmicrolensing-5.6.1-cp311-cp311-macosx_11_0_arm64.whl

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Release files / vbmicrolensing-5.6.1-cp310-cp310-win_amd64.whl

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Release files / vbmicrolensing-5.6.1-cp310-cp310-win32.whl

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Release files / vbmicrolensing-5.6.1-cp310-cp310-musllinux_1_2_x86_64.whl

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Release files / vbmicrolensing-5.6.1-cp310-cp310-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl

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Release files / vbmicrolensing-5.6.1-cp310-cp310-macosx_11_0_x86_64.whl

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Release files / vbmicrolensing-5.6.1-cp310-cp310-macosx_11_0_arm64.whl

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Release files / vbmicrolensing-5.6.1-cp39-cp39-win_amd64.whl

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Release files / vbmicrolensing-5.6.1-cp39-cp39-win32.whl

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Uploaded via	`twine/7.0.0 CPython/3.13.14`

Release files / vbmicrolensing-5.6.1-cp39-cp39-musllinux_1_2_x86_64.whl

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Uploaded via	`twine/7.0.0 CPython/3.13.14`

Release files / vbmicrolensing-5.6.1-cp39-cp39-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl

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Release files / vbmicrolensing-5.6.1-cp39-cp39-macosx_11_0_x86_64.whl

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Uploaded via	`twine/7.0.0 CPython/3.13.14`

Release files / vbmicrolensing-5.6.1-cp39-cp39-macosx_11_0_arm64.whl

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Uploaded via	`twine/7.0.0 CPython/3.13.14`

Release files / vbmicrolensing-5.6.1-cp38-cp38-win_amd64.whl

Download URL	vbmicrolensing-5.6.1-cp38-cp38-win_amd64.whl
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Upload date	Oct 8, 2026
Uploaded using Trusted Publishing? What is trusted publishing?	No
Uploaded via	`twine/7.0.0 CPython/3.13.14`

Release files / vbmicrolensing-5.6.1-cp38-cp38-win32.whl

Download URL	vbmicrolensing-5.6.1-cp38-cp38-win32.whl
Size	1.4 MB
Tags	CPython 3.8 Windows x86-32
SHA-256 checksum How to use checksums	`7a88e95a357dcd93d228791e157b05fe539c430d953fdd282b0c6c4d94b734ae`
BLAKE2b-256 checksum How to use checksums	`af3379ac7f1bbc5a05b21fce906f2026bf812ce1f937b8290e2d334cd0b6d57f`
Upload date	Oct 8, 2026
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Uploaded via	`twine/7.0.0 CPython/3.13.14`

Release files / vbmicrolensing-5.6.1-cp38-cp38-musllinux_1_2_x86_64.whl

Download URL	vbmicrolensing-5.6.1-cp38-cp38-musllinux_1_2_x86_64.whl
Size	2.5 MB
Tags	CPython 3.8 Linux musl 1.2+ x86-64
SHA-256 checksum How to use checksums	`23573ea19ad266f7d3dacf59ac45e50a0e73e0c17e9bac42ebf1a3c3f3a457f3`
BLAKE2b-256 checksum How to use checksums	`6ddf9f0ef6f578fac5f49395ef15aaa8ed48494cc72775828834b1435e4d730e`
Upload date	Oct 8, 2026
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Uploaded via	`twine/7.0.0 CPython/3.13.14`

Release files / vbmicrolensing-5.6.1-cp38-cp38-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl

Download URL	vbmicrolensing-5.6.1-cp38-cp38-manylinux_2_27_x86_64.manylinux_2_28_x86_64.whl
Size	1.6 MB
Tags	CPython 3.8 Linux glibc 2.27+ x86-64 Linux glibc 2.28+ x86-64
SHA-256 checksum How to use checksums	`fd0ecddff1e98e7e1286e2fa0ef4df37b0e010b4149c2debcb683de905a25c5f`
BLAKE2b-256 checksum How to use checksums	`160cf1a316a06d45bfd05d4c7aa145029b4bbfac93f6fa99235490b4134c687e`
Upload date	Oct 8, 2026
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Uploaded via	`twine/7.0.0 CPython/3.13.14`

Release files / vbmicrolensing-5.6.1-cp38-cp38-macosx_11_0_x86_64.whl

Download URL	vbmicrolensing-5.6.1-cp38-cp38-macosx_11_0_x86_64.whl
Size	1.5 MB
Tags	CPython 3.8 macOS 11.0+ x86-64
SHA-256 checksum How to use checksums	`3a8af7fc80fd37faacb8c21477aef7eaa70068c9fe5442a97bdd8716bfac934b`
BLAKE2b-256 checksum How to use checksums	`8aa81bb378510a58046da296568ebbd7d9be52d5091f09b32ebb110b5f64d644`
Upload date	Oct 8, 2026
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Uploaded via	`twine/7.0.0 CPython/3.13.14`

Release files / vbmicrolensing-5.6.1-cp38-cp38-macosx_11_0_arm64.whl

Download URL	vbmicrolensing-5.6.1-cp38-cp38-macosx_11_0_arm64.whl
Size	1.4 MB
Tags	CPython 3.8 macOS 11.0+ ARM64
SHA-256 checksum How to use checksums	`f1aa1032ad2e263dc5f8547a1b662556fff99dc801edd9285975b98a70409b36`
BLAKE2b-256 checksum How to use checksums	`a2381354b4a126f529cfff6f6717217425cb4eda2a6f640fa4035cd727230f2d`
Upload date	Oct 8, 2026
Uploaded using Trusted Publishing? What is trusted publishing?	No
Uploaded via	`twine/7.0.0 CPython/3.13.14`