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Problem 836: A Bold Proposition

Let $A$ be an affine plane over a radically integral local field $F$ with residual characteristic $p$.

We consider an open oriented line section $U$ of $A$ with normalized Haar measure $m$.

Define $f(m, p)$ as the maximal possible discriminant of the jacobian associated to the orthogonal kernel embedding of $U$ into $A$.

Find $f(20230401, 57)$. Give as your answer the concatenation of the first letters of each bolded word.