{"id":"e-957b7b92840bd636","operation":{"operation":"parent_provers","route":"periodic_product"},"operation_detail":"periodic_product","conclusion_id":"n-2c108d11aae26139","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":"d505ec9ea9b2a504aa50de8386b9ca060cb88d95f7a9c2a910a66aaa8d082161","verification_polytool":"replayed","verification_lean":"not_attempted","certificate_kind":"parent_provers","certificate_raw_size":634,"certificate_compressed_size":374,"conclusion_name":"veronese parent of Table read by rows: 1 if x = y, 0 otherwise, where (x,y) = (0,0),(0,1),(1,0),(0,2),(1,1),(2,0),...","claims":[{"claim":"real_rooted","from_index":0,"region":{"upper":{"closed":true,"value":"0"}}}],"premises":[],"cited_by":[{"node_id":"n-2c108d11aae26139","claim":"real_rooted"},{"node_id":"n-2c108d11aae26139","claim":"one_signed_coefficients"},{"node_id":"n-2c108d11aae26139","claim":"hadamard_kernel"}]}