Table 1: Groups of data considered for methods that constrain $\frac{\Delta \alpha}{\alpha}$ .
Method Redshift or redshift interval Number of data $\frac{\Delta \alpha}{\alpha} \pm \sigma$ Reference

(1) (2) (3) (4) (5)

Many Multiplet 0.22 < z < 3.6 128 $-0.543 \pm 0.116$ (1)

Many Multiplet 0.452 < z < 2.3 23 $-0.06 \pm 0.06$ (2)

Many Multiplet z=1.15 1 $-0.05 \pm 0.24$ (3)

RMM z=1.15 1 $-0.04 \pm 0.46$ (4)

Alkali Doublet 2 < z < 3 19 $-0.50 \pm 1.30$ (5)

Alkali Doublet 1.9 < z < 2.8 15 $0.15 \pm 0.43$ (6)

SIDAM z=1.15 1 $-0.007 \pm 0.084$ (7)

SIDAM z=1.84 1 $0.54 \pm 0.25$ (8)

Notes. Columns: (1) observational method; (2) redshift or redshift interval; (3) number of data; (4) mean value of $\frac{\Delta \alpha}{\alpha}$ and the corresponding $1 \sigma$ error in units of 10^-5; (5) reference. References: (1) Murphy et al. (2003); (2) Chand et al. (2004); (3) Chand et al. (2006); (4) Quast et al. (2004); (5) Murphy et al. (2001b); (6) Chand et al. (2005); (7) Levshakov et al. (2006); (8) Levshakov et al. (2007)

**Table 1:** Groups of data considered for methods that constrain $\frac{\Delta \alpha}{\alpha}$ .
Method	Redshift or redshift interval	Number of data	$\frac{\Delta \alpha}{\alpha} \pm \sigma$	Reference
(1)	(2)	(3)	(4)	(5)
Many Multiplet	0.22 < z < 3.6	128	$-0.543 \pm 0.116$	(1)
Many Multiplet	0.452 < z < 2.3	23	$-0.06 \pm 0.06$	(2)
Many Multiplet	z=1.15	1	$-0.05 \pm 0.24$	(3)
RMM	z=1.15	1	$-0.04 \pm 0.46$	(4)
Alkali Doublet	2 < z < 3	19	$-0.50 \pm 1.30$	(5)
Alkali Doublet	1.9 < z < 2.8	15	$0.15 \pm 0.43$	(6)
SIDAM	z=1.15	1	$-0.007 \pm 0.084$	(7)
SIDAM	z=1.84	1	$0.54 \pm 0.25$	(8)

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