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Table C.1.

Boundary constrains for the parameters of Lyα fitting using MCMC method.

Fit parameters Constraints
Gaussian emission:
Line center, λ0 [Å] Δλ = 4
Line center (b.l.), λ0, blue [Å]a λin − 8.93 ∼ λin − 2.23
Line flux, F [erg s−1 cm−2] (90%−120%)Fin,  m
Line width, σ [Å]b (80%−120%/150%)σin,  m

Voigt absorption:
Column density log(NH/cm−2) 13 − 20
Doppler parameter b [km s−1] 40 − 400
Absorber redshift zc Δz = 0.004
Absorber redshift zd Δz = 0.005

Notes. The lower index “in” stands for initial. λin is the observed Lyα wavelength calculated using systemic redshift derived from He II fitting (see Sect. 4.2). The Fin,  m and σin,  m are line flux and width derived from primary fitting of the emission using only the red wing as input. The lower index “m” indicates both the systemic and blueshifted components have the similar boundary setup. The boundaries of the redshift, z, of different absorbers are customized according to their sensitivities to the parameters tested in running the fitting.

(a)

The wavelength range corresponds to −400 ∼ −100 km s−1.

(b)

120% for the narrow and 150% for the broad component.

(c)

This set of constraints is for absorbers #1-3, 5 and 8.

(d)

This set of constraints is for absorbers #4, 6 and 7.

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