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Description
It may be a good idea to include physical constants (1) as a proof of intelligence (2) as a signal of how advanced humanity currently is (3) maybe to make pattern search easier
Especially the fundamental constants, which seem to be time and location invariant across the universe would be a good idea: https://math.ucr.edu/home/baez/constants.html
Constants using the SI measurement system could be converted to https://en.wikipedia.org/wiki/Natural_units
The latest official NIST constant table is here: https://pml.nist.gov/cuu/Constants/Table/allascii.txt (I parsed it here as .json (perhaps unreliably, please double check if accuracy required): https://github.com/void4/parseCODATA/blob/main/CODATA.json)
Interesting page: https://en.wikipedia.org/wiki/Dimensionless_physical_constant