Table 4: Coefficients for different strong-line metallicity diagnostics in Eq. (1).
Flux ratio ( $\log{R}$ ) c₀ c₁ c₂ c₃ c₄

$\log{R_{23}}^a$ 0.7462 -0.7149 -0.9401 -0.6154 -0.2524

$\log{[F([{\rm NII}]6584)/F(\rm H\alpha)]}$ -0.7732 1.2357 -0.2811 -0.7201 -0.3330

$\log{[F([{\rm OIII}]5007)/F(\rm H\beta)]}$ 0.1549 -1.5031 -0.9790 -0.0297 -

$\log{[F([{\rm OIII}]5007)/F(\rm [OII]3727)]}$ -0.2839 -1.3881 -0.3172 - -

$\log{[F([{\rm OII}]3727)/F(\rm H\beta)]}$ 0.5603 0.0450 -1.8017 -1.8434 -0.6549

$\log{[F([{\rm OIII}]5007)/F(\rm [NII]6584)]}$ 0.4520 -2.6096 -0.7170 0.1347 -

$\log{[F([{\rm NeIII}]3870)/F([{\rm OII}]3727)]}$ -1.2608 -1.0861 -0.1470 - -

**Table 4:** Coefficients for different strong-line metallicity diagnostics in Eq. (1).
Flux ratio ( $\log{R}$ )	c₀	c₁	c₂	c₃	c₄
$\log{R_{23}}^a$	0.7462	-0.7149	-0.9401	-0.6154	-0.2524
$\log{[F([{\rm NII}]6584)/F(\rm H\alpha)]}$	-0.7732	1.2357	-0.2811	-0.7201	-0.3330
$\log{[F([{\rm OIII}]5007)/F(\rm H\beta)]}$	0.1549	-1.5031	-0.9790	-0.0297	-
$\log{[F([{\rm OIII}]5007)/F(\rm [OII]3727)]}$	-0.2839	-1.3881	-0.3172	-	-
$\log{[F([{\rm OII}]3727)/F(\rm H\beta)]}$	0.5603	0.0450	-1.8017	-1.8434	-0.6549
$\log{[F([{\rm OIII}]5007)/F(\rm [NII]6584)]}$	0.4520	-2.6096	-0.7170	0.1347	-
$\log{[F([{\rm NeIII}]3870)/F([{\rm OII}]3727)]}$	-1.2608	-1.0861	-0.1470	-	-

Notes: ^a $R_{23}=(F([{\rm OII}]3727)+F([{\rm OIII}]4959)+F([{\rm OIII}]5007))/F(\rm H\beta)$ .

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