Consider a system of $N$ particles whose coordinates are $\mathbf{r} = \{r_i^x, r_i^y, r_i^z\}$, and whose velocities are $\{\dot{\mathbf{r}}_i\}$.

Each pair of particles $\left(i, j\right)$ interacts through a potential $V\left(\mathbf{r}_i, \mathbf{r}_j\right)$ which has no direct dependence on time. As the system evolves in time, which of the following bulk quantities must be conserved?

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