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$$ \begin{bmatrix} \log \beta_1 \\ \log \beta_2 \\ \log \beta_3 \\ \log \beta_4 \\ \log \beta_5 \\ \end{bmatrix} = \begin{bmatrix} 0 & 1 & 0 & 2 & 0 \\ 1 & 1 & 1 & 1 & 0 \\ 0 & 1 & 0 & 2 & 0 \\ 0 & 0 & 1 & 0 & 1 \\ 0 & 0 & 0 & 1 & 1 \\ \end{bmatrix} \begin{bmatrix} \log 2 \\ \log a \\ \log \lambda \\ \log 1 - \lambda \\ \log b \end{bmatrix} $$$$ \begin{bmatrix} \log \beta_1 \\ \log \beta_2 \\ \log \beta_3 \\ \log \beta_4 \\ \log \beta_5 \\ \end{bmatrix} = \begin{bmatrix} 0 & 1 & 2 & 0 & 0 \\ 1 & 1 & 1 & 1 & 0 \\ 0 & 1 & 0 & 2 & 0 \\ 0 & 0 & 1 & 0 & 1 \\ 0 & 0 & 0 & 1 & 1 \\ \end{bmatrix} \begin{bmatrix} \log 2 \\ \log a \\ \log \lambda \\ \log 1 - \lambda \\ \log b \end{bmatrix} $$

$$ \begin{bmatrix} \log \beta_1 \\ \log \beta_2 \\ \log \beta_3 \\ \log \beta_4 \\ \log \beta_5 \\ \end{bmatrix} = \begin{bmatrix} 0 & 1 & 0 & 2 & 0 \\ 1 & 1 & 1 & 1 & 0 \\ 0 & 1 & 0 & 2 & 0 \\ 0 & 0 & 1 & 0 & 1 \\ 0 & 0 & 0 & 1 & 1 \\ \end{bmatrix} \begin{bmatrix} \log 2 \\ \log a \\ \log \lambda \\ \log 1 - \lambda \\ \log b \end{bmatrix} $$

$$ \begin{bmatrix} \log \beta_1 \\ \log \beta_2 \\ \log \beta_3 \\ \log \beta_4 \\ \log \beta_5 \\ \end{bmatrix} = \begin{bmatrix} 0 & 1 & 2 & 0 & 0 \\ 1 & 1 & 1 & 1 & 0 \\ 0 & 1 & 0 & 2 & 0 \\ 0 & 0 & 1 & 0 & 1 \\ 0 & 0 & 0 & 1 & 1 \\ \end{bmatrix} \begin{bmatrix} \log 2 \\ \log a \\ \log \lambda \\ \log 1 - \lambda \\ \log b \end{bmatrix} $$

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$$ \begin{bmatrix} \log \beta_1 \\ \log \beta_2 \\ \log \beta_3 \\ \log \beta_4 \\ \log \beta_5 \\ \end{bmatrix} = \begin{bmatrix} 0 & 1 & 2 & 0 & 0 \\ 1 & 1 & 1 & 1 & 0 \\ 0 & 1 & 0 & 2 & 0 \\ 0 & 0 & 1 & 0 & 1 \\ 0 & 0 & 0 & 1 & 1 \\ \end{bmatrix} \begin{bmatrix} \log 2 \\ \log a \\ \log \lambda \\ \log 1 - \lambda \\ \log b \end{bmatrix} $$$$ \begin{bmatrix} \log \beta_1 \\ \log \beta_2 \\ \log \beta_3 \\ \log \beta_4 \\ \log \beta_5 \\ \end{bmatrix} = \begin{bmatrix} 0 & 1 & 0 & 2 & 0 \\ 1 & 1 & 1 & 1 & 0 \\ 0 & 1 & 0 & 2 & 0 \\ 0 & 0 & 1 & 0 & 1 \\ 0 & 0 & 0 & 1 & 1 \\ \end{bmatrix} \begin{bmatrix} \log 2 \\ \log a \\ \log \lambda \\ \log 1 - \lambda \\ \log b \end{bmatrix} $$

$$ \begin{bmatrix} \log \beta_1 \\ \log \beta_2 \\ \log \beta_3 \\ \log \beta_4 \\ \log \beta_5 \\ \end{bmatrix} = \begin{bmatrix} 0 & 1 & 2 & 0 & 0 \\ 1 & 1 & 1 & 1 & 0 \\ 0 & 1 & 0 & 2 & 0 \\ 0 & 0 & 1 & 0 & 1 \\ 0 & 0 & 0 & 1 & 1 \\ \end{bmatrix} \begin{bmatrix} \log 2 \\ \log a \\ \log \lambda \\ \log 1 - \lambda \\ \log b \end{bmatrix} $$

$$ \begin{bmatrix} \log \beta_1 \\ \log \beta_2 \\ \log \beta_3 \\ \log \beta_4 \\ \log \beta_5 \\ \end{bmatrix} = \begin{bmatrix} 0 & 1 & 0 & 2 & 0 \\ 1 & 1 & 1 & 1 & 0 \\ 0 & 1 & 0 & 2 & 0 \\ 0 & 0 & 1 & 0 & 1 \\ 0 & 0 & 0 & 1 & 1 \\ \end{bmatrix} \begin{bmatrix} \log 2 \\ \log a \\ \log \lambda \\ \log 1 - \lambda \\ \log b \end{bmatrix} $$

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$$ \begin{bmatrix} \log \beta_1 \\ \log \beta_2 \\ \log \beta_3 \\ \log \beta_4 \\ \log \beta_5 \\ \end{bmatrix} = \begin{bmatrix} 0 & 1 & 2 & 0 & 0 \\ 1 & 1 & 1 & 1 & 0 \\ 0 & 1 & 0 & 2 & 0 \\ 0 & 0 & 1 & 0 & 1 \\ 0 & 1 & 0 & 1 & 1 \\ \end{bmatrix} \begin{bmatrix} \log 2 \\ \log a \\ \log \lambda \\ \log 1 - \lambda \\ \log b \end{bmatrix} $$$$ \begin{bmatrix} \log \beta_1 \\ \log \beta_2 \\ \log \beta_3 \\ \log \beta_4 \\ \log \beta_5 \\ \end{bmatrix} = \begin{bmatrix} 0 & 1 & 2 & 0 & 0 \\ 1 & 1 & 1 & 1 & 0 \\ 0 & 1 & 0 & 2 & 0 \\ 0 & 0 & 1 & 0 & 1 \\ 0 & 0 & 0 & 1 & 1 \\ \end{bmatrix} \begin{bmatrix} \log 2 \\ \log a \\ \log \lambda \\ \log 1 - \lambda \\ \log b \end{bmatrix} $$

$$ \begin{bmatrix} \log \beta_1 \\ \log \beta_2 \\ \log \beta_3 \\ \log \beta_4 \\ \log \beta_5 \\ \end{bmatrix} = \begin{bmatrix} 0 & 1 & 2 & 0 & 0 \\ 1 & 1 & 1 & 1 & 0 \\ 0 & 1 & 0 & 2 & 0 \\ 0 & 0 & 1 & 0 & 1 \\ 0 & 1 & 0 & 1 & 1 \\ \end{bmatrix} \begin{bmatrix} \log 2 \\ \log a \\ \log \lambda \\ \log 1 - \lambda \\ \log b \end{bmatrix} $$

$$ \begin{bmatrix} \log \beta_1 \\ \log \beta_2 \\ \log \beta_3 \\ \log \beta_4 \\ \log \beta_5 \\ \end{bmatrix} = \begin{bmatrix} 0 & 1 & 2 & 0 & 0 \\ 1 & 1 & 1 & 1 & 0 \\ 0 & 1 & 0 & 2 & 0 \\ 0 & 0 & 1 & 0 & 1 \\ 0 & 0 & 0 & 1 & 1 \\ \end{bmatrix} \begin{bmatrix} \log 2 \\ \log a \\ \log \lambda \\ \log 1 - \lambda \\ \log b \end{bmatrix} $$

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