Table 10: Coefficients of the best-fit polynomials for the observed relations between the additional emission-line flux ratios and the oxygen abundance, where $\log~R = b_0 + b_1 y + b_2 y^2 + b_3 y^3$ [ $y \equiv 12+\log($O/H)].
Flux ratio (log R) b0 b1 b2 b3
log [F([Ne III]$\lambda $3869)/F([O II]$\lambda $3727)] -8.2202E+1 +3.2014E+1 -4.0706E+0 +1.6784E-1
log [F(H$\alpha $+[N II] $\lambda \lambda $6548,6584)/F([S II]$\lambda $6720)] -1.4789E+2 +5.9974E+1 -7.8963E+0 +3.4069E-1
log [F([O III]$\lambda $5007)/F(H$\beta $)] -5.7906E+1 +1.5437E+1 -1.0872E+0 +9.1853E-3
log [F([O II]$\lambda $3727)/F(H$\beta $)] +1.5253E+2 -6.1922E+1 +8.2370E+0 -3.5951E-1


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