  The magnetization process of the $S=1$ antiferromagnetic chain with the
single-ion anisotropy $D$ and the biquadratic interaction is investigated using
the numerical diagonalization. Both interactions stabilize the 2-magnon
Tomonaga-Luttinger liquid (TLL) phase in the magnetization process. Based on
several excitation gaps calculated by the numerical diagonalization, some phase
diagrams of the magnetization process are presented. These phase diagrams
reveal that the spin nematic dominant TLL phase appears at higher
magnetizations for sufficiently large negative $D$.
