{"authors":[],"bibtex":null,"citations":["Davide Passaro, Lara San Mart\u00edn Su\u00e1rez. \"The Gukov-Manolescu Series for Links.\" In preparation."],"columns":[{"description":"KnotInfo identifier","encoding":{"kind":"string"},"name":"knotinfo_id","type":"string"},{"description":"Length of the braid used for the computation","encoding":{"kind":"int"},"name":"braid_length","type":"int"},{"description":"Braid word used for the computation","encoding":{"kind":"mathematica_short_code"},"name":"braid","type":"mathematica_short_code"},{"description":"Sign diagram used for the computation (list of sign sequences per component)","encoding":{"kind":"string"},"name":"sign_diagram","type":"string"},{"description":"Overall x powers per component","encoding":{"kind":"mathematica_short_code"},"name":"overall_x_powers","type":"mathematica_short_code"},{"description":"First terms of the F_K series (Mathematica format)","encoding":{"kind":"mathematica_short_code"},"name":"fk_polynomial","type":"mathematica_short_code"}],"completeness":null,"data_version":"unversioned-synapse","description":"This table contains the first few terms (degree 9 for 2 component, degree 6 for most 3 components) of the Gukov-Manolescu series for links under the column fk_polynomial. The braid and sign diagram used to compute the invariant are listed under braid and sign_diagram.","id":"fk_links_table_low","license":null,"methodology":"Legacy schema requires audit. Source payloads are preserved; name-based joins are uncertified.","operations":["rows","count","filter","sort","export"],"primary_key":null,"provenance":null,"public":true,"relationships":"References associate records by name.","schema_version":"aa1636480dea6070739c67d8d871d8793da3740719d241df1b7061303bae5f1e","title":"Gukov-Manolescu series (F_K) for most nice Links up to 9 crossings","verification":{"explanation":"Snapshot changed; rerun validation.","mathematically_certified":false,"report":null,"status":"Unverified"}}