# Appendix G

## Catalog of Fluctuations of Transmitted Flux Fraction

This appendix presents the data format of the public release of the flux transmission field, $\delta_q(\lambda)$, in the Ly$\alpha$ and Ly$\beta$ spectral regions. These two catalogs can be found on https://dr16.sdss.org/sas/dr16/eboss/lya/ and were produced using the “Package for Igm Cosmological-Correlations Analyses,” picca, as presented in Section 2.3. Documentation is at https://www.sdss.org/dr16/spectro/lyman-alpha-forest.

The two catalogs are produced independently. They are used in this analysis to extract the fluctuations of Ly$\alpha$ absorption but were produced without any assumption on the nature of the absorption. To optimize reading time and simplify the structure, the sky is split into HEALPix pixels (Górski et al. 2005), with the parameters nside=8 (nside=4 for the Ly$\beta$ spectral region), with the RING ordering. All lines of sight of a given HEALpix are written in a FITS file and are given the following name: delta-<healpix>.fits.gz, where <healpix> is the index of HEALpix. For the Ly$\alpha$ spectral region, the 247 files with the fluctuations of transmitted flux fraction are given in the repository Delta_LYA; for the Ly$\beta$ spectral region, the 76 files in the repository Delta_LYB.

Each file is composed of one HDU per line of sight, starting by HDU=1. The header section and the data section are given in Table G1 and presented here. The external name of this HDU is defined to be given by the DR16Q identification integer: EXTNAME=THING_ID. In the file header, the different quantities RA, DEC, Z, THING_ID, PLATE, MJD, FIBERID are propagated from DR16Q, where Z is the redshift given in DR16Q as Z_LYAWG, as discussed in Section 2. In this same header, PMF is given by PLATE-MJD-FIBERID and ORDER is the order of the $log_{10}(\lambda)$ polynomial for the continuum fit (Equation (2)). The data columns of the HDU

<caption>Table G1</caption>

Description of Data Format of the Flux transmission Field Files, for Each Line of Sight, Containing the Measured $\delta_q(\lambda)$ in the Ly$\alpha$ Region and in the Ly$\beta$ Region

<table><thead><tr><th>Name</th><th>Format</th><th>Description</th></tr></thead><tbody><tr><td></td><td>Header</td><td></td></tr><tr><td>RA</td><td>DOUBLE</td><td>Right Ascension (from DR16Q) [rad]</td></tr><tr><td>DEC</td><td>DOUBLE</td><td>Declination (from DR16Q) [rad]</td></tr><tr><td>Z</td><td>DOUBLE</td><td>Redshift (Z_LYAWG from DR16Q)</td></tr><tr><td>PMF</td><td>STR</td><td>PLATE-MJD-FIBERID</td></tr><tr><td>THING_ID</td><td>INT</td><td>Thing_ID, eBOSS source identifier (from DR16Q)</td></tr><tr><td>PLATE</td><td>INT</td><td>Spectroscopic Plate number of the best spectrum (from DR16Q)</td></tr><tr><td>MJD</td><td>INT</td><td>Spectroscopic Modified Julian Date of the best spectrum (from DR16Q)</td></tr><tr><td>FIBERID</td><td>INT</td><td>Spectroscopic Fiber number of the best spectrum (from DR16Q)</td></tr><tr><td>ORDER</td><td>INT</td><td>Order of the log<sub>10</sub>(λ) polynomial for the continuum fit (Equation (2))</td></tr><tr><td></td><td>Data</td><td></td></tr><tr><td>LOGLAM</td><td>DOUBLE</td><td>log<sub>10</sub>(λ), where λ is the observed wavelength [Angstrom]</td></tr><tr><td>DELTA</td><td>DOUBLE</td><td>Flux transmission field δ<sub>q</sub> (Equation (1))</td></tr><tr><td>WEIGHT</td><td>DOUBLE</td><td>1/σ<sub>q</sub>(λ)<sup>2</sup> (Equation (4))</td></tr><tr><td>CONT</td><td>DOUBLE</td><td>Best-fit continuum, F̄(z)C<sub>q</sub>(λ<sub>RF</sub>), of the quasar spectrum (Equation (1))</td></tr></tbody></table>

give LOGLAM, the common logarithm of the observed wavelength, $log_{10}(\lambda)$, DELTA, the measured fluctuations of transmitted flux fraction, $\delta$ (Equation (1)), and its associated weight WEIGHT (Equation (4)), and finally CONT, the estimated continuum of the quasar spectrum, $F(z)C_q(\lambda_{RF})$ (Equation (1)).

## ORCID iDs

Hélion du Mas des Bourboux https://orcid.org/0000-0001-8955-3573

Julian E. Bautista https://orcid.org/0000-0002-9885-3989

Joel R. Brownstein https://orcid.org/0000-0002-8725-1069

Kyle Dawson https://orcid.org/0000-0002-0553-3805

Brad W. Lyke https://orcid.org/0000-0002-5078-2472

Christian Nitschelm https://orcid.org/0000-0003-4752-4365

Nathalie Palanque-Delabrouille https://orcid.org/0000-0003-3188-784X

Donald P. Schneider https://orcid.org/0000-0001-7240-7449

Hee-Jong Seo https://orcid.org/0000-0002-6588-3508

Anže Slosar https://orcid.org/0000-0002-8713-3695

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