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R12 · Reconstruction from a published period signature
RCHM × Hodge Research Round
R12 · Reconstruction from a published period signature
Blind Reconstruction from a Published Period Signature: Recovering a Bitangent Conic Pair
From the published Movasati–Sertoz period-derived plane z + a·w (25a³ + 4a + 20 = 0) on an explicit quartic, exact factorization 5F_a = (5x² + 2aw² + 2by²)(5x² + 2aw² − 2by²), b² = −10, recovers the published bitangent conic pair as a Galois-conjugate witness ensemble.
R12 reconstructs a known carrier from a published period signature; the answer is known from the cited paper and serves as the validation target.
The paper calls this 'the first genuinely blind carrier reconstruction'; 'blind' is relative to a published or self-built answer. The period computation, Picard rank 14 and the 102 conics are not recomputed (§14); the exact algebra itself reproduces.
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