Tamagawa number conjecture for $(M,\mathcal{O}_F)$

Let $M$ be a motive over $K$, let $F=\mathcal{F}_\lambda$, and let $T$ be a stable $\mathcal{O}_F$-lattice in its realization. Assume the local hypotheses and the motivic cohomology conjecture for $M$ and $M^*(1)$, as well as the generalized Deligne conjecture. Let $\gamma$ be the determinant basis specified in the analytic-rank-zero formulation, and let $x,y$ be determinant bases of the two motivic Selmer groups. Tamagawa number conjecture. There is an $\mathcal{O}_F$-basis

$$\mathfrak{z}_\gamma\in\det_{\mathcal{O}_F}^{-1}(\mathbf{R}\Gamma(G_{K,S},T))$$

such that

$$\vartheta(\mathfrak{z}_\gamma)=\frac{L_S^*(M,0)}{\Omega_{\gamma,\delta}R_{x,y}}\,x\otimes y\otimes\delta^*.$$

This is the arbitrary-analytic-rank determinant formulation of the Tamagawa number conjecture; the source gives no resolution.