Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Kauffman bracket | Statement: [Jones polynomial, canBeComputedUsing, Kauffman bracket]

Target entity: Kauffman bracket
Context triple: [Jones polynomial, canBeComputedUsing, Kauffman bracket]

• A. Kauffman polynomial chosen
  The Kauffman polynomial is a two-variable knot invariant in knot theory that generalizes and extends the information captured by the Jones polynomial.
• B. Jones polynomial
  The Jones polynomial is a powerful knot invariant in topology that assigns to each knot or link a Laurent polynomial, enabling the distinction of many knots that are indistinguishable by classical invariants.
• C. Witten–Reshetikhin–Turaev invariant
  The Witten–Reshetikhin–Turaev invariant is a quantum invariant of 3-manifolds and links derived from Chern–Simons theory and quantum groups, playing a central role in low-dimensional topology and quantum topology.
• D. HOMFLY-PT polynomial
  The HOMFLY-PT polynomial is a powerful knot and link invariant in knot theory that generalizes both the Alexander and Jones polynomials.
• E. Khovanov homology
  Khovanov homology is a powerful link invariant in knot theory that lifts the Jones polynomial to a graded homology theory, providing stronger topological information than the polynomial alone.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: canBeComputedUsing
Context triple: [Jones polynomial, canBeComputedUsing, Kauffman bracket]

• A. isUsedToCompute chosen
  Indicates that one entity serves as an input, basis, or resource for performing a calculation or deriving a result about another entity.
• B. usesComputationMethod
  Indicates that an entity performs its processing or decision-making by applying a specified computational method or algorithm.
• C. canBeImplementedWith
  Indicates that one entity is capable of being realized, executed, or fulfilled through the use or application of another entity.
• D. canBeConstructedWith
  Indicates that one entity can be formed, built, or assembled using another entity as material, components, or means.
• E. canBeInvokedBy
  Indicates that one entity (such as a function, method, or operation) is able to be called, triggered, or executed by another entity.
• F. None of above.