To find the sum of the products of \( x \) and \( y \), we compute:
\[ \sum x y = 17559 \]
Next, we calculate the sum of the products of \( x^2 \) and \( y \):
\[ \sum x^{2} y = 1175755 \]
Finally, we square the sum of \( x \) and \( y \):
\[ \left( \sum x y \right)^{2} = 308318481 \]
\[ \sum x y = \boxed{17559} \] \[ \sum x^{2} y = \boxed{1175755} \] \[ \left( \sum x y \right)^{2} = \boxed{308318481} \]
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