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Evaluate the following determinant:

$$ det \left( \begin{matrix}\frac{ 3 }{ 10 }&-\frac{ 1 }{ 5 }&0&0\\\frac{ 13 }{ 40 }&-\frac{ 1 }{ 8 }&\frac{ 1 }{ 2 }&-1\\0&\frac{ 53 }{ 40 }&-\frac{ 1 }{ 8 }&\frac{ 5 }{ 4 }\\0&-1&-\frac{ 1 }{ 8 }&\frac{ 13 }{ 8 }\end{matrix} \right) $$

$$ det \left( \begin{matrix}\dfrac{ 3 }{ 10 }&-\dfrac{ 1 }{ 5 }&0&0\\\dfrac{ 13 }{ 40 }&-\dfrac{ 1 }{ 8 }&\dfrac{ 1 }{ 2 }&-1\\0&\dfrac{ 53 }{ 40 }&-\dfrac{ 1 }{ 8 }&\dfrac{ 5 }{ 4 }\\0&-1&-\dfrac{ 1 }{ 8 }&\dfrac{ 13 }{ 8 }\end{matrix} \right) = -\dfrac{ 10869 }{ 25600 } $$