Conjectures that simple geodesics on finite covers of the modular orbifold have rational, quadratic, or transcendental endpoints, with proofs for minimal geodesic laminations and the modular torus cover.
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Transcendence of simple geodesics on finite modular covers
Conjectures that simple geodesics on finite covers of the modular orbifold have rational, quadratic, or transcendental endpoints, with proofs for minimal geodesic laminations and the modular torus cover.