Lagrange's four square theorem says that every non-negative integer \(n\) can be expressed as a sum of 4 perfect squares.

For example: \(2017= 18^2+ 21^2+ 24^2 +26^2\).

How many quadruples of positive integers \((a,b,c,d)\) such that \(a\le b\le c\le d\) and \(a^2+b^2+c^2+d^2=2017\)?

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