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More precisely, let $Q \\subset X$ be a topological quadrilateral with boundary edges (in cyclic order) denoted by $\\zeta_1, \\zeta_2, \\zeta_3, \\zeta_4$ and let $\\Gamma(\\zeta_i, \\zeta_j; Q)$ denote the family of curves in $Q$ connecting $\\zeta_i$ and $\\zeta_j$; then $\\text{mod} \\Gamma(\\zeta_1, \\zeta_3; Q) \\text{mod} \\Gamma(\\zeta_2, \\zeta_4; Q) \\geq 1/\\kappa$ for $\\kappa = 2000^2\\cdot (4/\\pi)^2$. 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