was determined by tuning the magnitude of $v_{0, \rm odd}^{(3)}$ so as to reproduce, within the $\alpha+\alpha+\Lambda$ model, the $\Lambda$-binding energy of the $1/2^+$ ground state of $^9_\Lambda$Be. ii) [*$\Lambda d$ interaction*]{}: We determined the value of $k_{\rm F}=0.84 \: {\rm fm}^{-1}$ by fitting the experimental $\Lambda$-binding energy of the $1/2^+$ ground state of $^3_\Lambda$H within the $d+\Lambda$ model where the $\Lambda N$ odd force plays a negligible role. The odd force was determined, with the same $k_{\rm F}$ kept, by reproducing the $\Lambda$-binding energies of the $1/2_1^+$ and $3/2_1^+$ states of $^7_\Lambda$Li within the $\alpha+d+\Lambda$ model; we tuned $v_{0, \rm odd}^{(2)}$ and $v_{\sigma\sigma, \rm odd}^{(2)}$.

iii\) [*$\Lambda t$ interaction*]{}: The experimental $\Lambda$-binding energies of the $0^+$ and $1^+$ states of $^4_\Lambda$H were used to determine the even force of the $\Lambda N$ interaction. The magnitude of $k_{\rm F}$ and $v_{\sigma\sigma,\; \rm even}^{(2)}$ were adjusted to reproduce the energies, $k_{\rm F}$ being $0.84 \: {\rm fm}^{-1}$. This value of $k_{\rm F}$ was substituted into the $k_{\rm F}$ used in the odd force of the $\Lambda N$ interaction of the $\Lambda d$ interaction with no other change. The resulting $\Lambda t$ interaction reproduces, by chance, the $\Lambda$-binding energy of the $1^+$ 