Somethings Fishy?

Suppose that

\[\large{\sum _{ i=1 }^{ 982 }{ { 7 }^{ { i }^{ 2 } } } }\]

can be expressed in the form \(983q + r\), where \(q\) and \( r\) are integers and \(0 \le r \le 492\). Find \(r. \)

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