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An arithmetic sequence \(u_1, u_2, u_3, \ldots\), is such that \(d = 11\) and \(u_{27} = 263\).

1. Find \(u_1\).
2. 1. Given that \(u_n = 516\), find the value of \(n\).
   2. For this value of \(n\), find \(S_n\).