+ \sqrt{p^2-4p}}{2} $ and intervals $I_n$ given by $I_{0}= [p,~\infty)$, $I_n =[\delta_n,~\delta_{n-1})$, and $I_{\infty} =[1,~\gamma)$, as well as a sequence of linear functions $w_{n}:{\mathbb{R}}\to{\mathbb{R}}$, $n\geq 1$, such that $${\mathsf{w}}_{2p}(M_{\mu}^{0}) =
    \begin{cases}
    c_{\operatorname{vol}}=\sqrt{\frac{\mu}{p}}  & \text{~if~}\mu\in I_{\infty}\\

     w_{n}(\mu) & \text{~if~}\mu\in I_n ,~ n \geq 1\\

    1 & \text{~if~}\mu\in I_{0}
    \end{cases}$$

In Section \[section:TrivialBundle\], Proposition \[thm:MainTheoremTrivialExplicitEven\] gives explicit formulae for the functions $w_{n}$, as well as complete descriptions of the even generalized Gromov widths ${\mathsf{w}}_{2p}$ as piecewise linear functions of $\mu$. As an immediate corollary, we get the packing numbers of $M^0_{\mu}$ (see Corollaries \[cor:MainPackingNumbersTrivialOdd\] and \[cor:MainPackingNumbersTrivialEven\]) and we compute the stability numbers of $M_{\mu}^{0}$, namely

\[cor:MainStabilityNumbersTrivial\] The odd stability number of $M_{\mu}^{0}$ is $$N_{\text{odd}}(M_{\mu}^{0})=
\begin{cases}
7 &\text{~if~}\mu=\frac{8}{7}\\
9 &\text{~if~}\mu\in\left[1,~\frac{8}{7}\right)\cup\left(\frac{8}{7},~2\right]\\
2\left\lceil\mu+\sqrt{2\mu}\right\rceil + 1 
                    &\text{~if~}\mu\in\left(2,~\infty\right]
\end{cases}$$ while its even stability number is given by $$N_{\text{even}}(M_{\mu}^{0})=2\left\lceil \mu + 2 + \frac{1}{\mu}\right\rceil$$ It follows that $$N_{\text{stab}}(M_{\mu}^{0})=
\begin{cases}
9 & \text{~if~} \mu=\frac{8}{7}\\
N_{\text{odd}} & \text{~if~} \mu\in\left[1,~\frac{8}{7}\right)\cup\left(\frac{8}{7},~2\right]\\
N_{\text{odd}}(M_{\mu}^{0})-1 & \text{~if~}\mu\in\left(2,~\infty\right]\end{cases}$$

Before we move on to describe our results in the twisted case, let us explain the following consequence of Theorem \[thm:MainTheoremTrivial\]. Given positive real numbers $a,b,s,t$, recall that the standard $4$-dimensional ellipsoid $E(a,b)$ is defined by setting $$E(a,b) :=
  \left\{ z \in {\mathbb{C}}^2 ~|~ \frac{\pi|z_1|^2}{a} + \frac{\pi |z_2|^2}{b} 