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Let $k$ be either a number a field or a function field over $\mathbb{Q}$ withfinitely many variables. We present a practical algorithm to compute thegeometric Picard lattice of a K3 surface over $k$ of degree $2$, i.e., a doublecover of the projective plane over $k$ ramified above a smooth sextic curve.The algorithm might not terminate, but if it terminates then it returns aproven correct answer.

A practical algorithm to compute the geometric Picard lattice of K3 surfaces of degree $2$