Table 5: Coefficients of the best-fit polynomials for the observed relations between the emission-line flux ratios and the oxygen abundance, where $\log ~R = a_0 + a_1 x + a_2 x^2 + a_3 x^3$ [$x \equiv $ log(Z/ $Z_\odot) \equiv 12+\log($O/H)-8.69].
Flux ratio (log R) a0 a1 a2 a3
log R23 +7.1806E-1 -6.9548E-1 -6.2220E-1 -6.3169E-2
log [F([N II] $\lambda6584$)/F(H$\alpha $)] -6.8307E-1 +8.9881E-1 -5.2302E-1 -2.2040E-1
log [F([O III]$\lambda $5007)/F([N II]$\lambda $6584)] +3.2921E-1 -2.2578E+0 -4.1699E-2 +3.7941E-1
log [F([N II]$\lambda $6584)/F([O II]$\lambda $3727)] -7.9322E-1 +1.1399E+0 +7.8929E-1 +2.7101E-1
log [F([N II]$\lambda $6584)/F([S II]$\lambda $6720)] -2.5214E-1 +7.4100E-1 +5.8181E-1 +1.7963E-1
log [F([O III]$\lambda $5007)/F([O II]$\lambda $3727)] -3.0777E-1 -1.1210E+0 -1.4359E-1 --


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