{"id":"e-b274e5cc6dbb8c2d","operation":{"operation":"parent_provers","route":"periodic_product"},"operation_detail":"periodic_product","conclusion_id":"n-4124f4242e7d4c67","premise_count":0,"theorem":"polytool parent provers, route periodic_product: every parent row P_n, n >= 0, is zero or real-rooted with coefficients of one sign","lean_route":null,"lean_declarations":[],"certificate_hash":"6219ab5ded216ab588a9a990ac1d1e6103d39fe535e3a846d5375024a845bfef","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"parent_provers","certificate_raw_size":635,"certificate_compressed_size":376,"conclusion_name":"Triangle read by rows, A007318 rows repeated.","claims":[{"claim":"real_rooted","from_index":0,"region":{"upper":{"closed":true,"value":"0"}}}],"premises":[],"cited_by":[{"node_id":"n-4124f4242e7d4c67","claim":"real_rooted"},{"node_id":"n-4124f4242e7d4c67","claim":"one_signed_coefficients"},{"node_id":"n-4124f4242e7d4c67","claim":"hadamard_kernel"}]}