\[(x^{2}+3x + 7)(x^{2}+5x+2)=0\]
If \(\alpha\), \(\beta\), \(\gamma\), and \(\delta\) are the roots of equation above, then find
\[(\alpha ^{2}+1)(\beta ^{2}+1)(\gamma ^{2}+1)(\delta ^{2}+1).\]

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