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: Racah polynomials | Statement: [Racah algebra, symmetryOf, Racah polynomials]

Target entity: Racah polynomials
Context triple: [Racah algebra, symmetryOf, Racah polynomials]

• A. Racah polynomials chosen
  Racah polynomials are a family of classical orthogonal polynomials that arise in the representation theory of angular momentum and in the study of exactly solvable models in mathematical physics.
• B. Jacobi polynomials
  Jacobi polynomials are a family of classical orthogonal polynomials depending on two parameters, widely used in approximation theory, numerical analysis, and solutions of differential equations.
• C. Racah algebra
  Racah algebra is a mathematical structure in representation theory and quantum mechanics that encodes the symmetries and coupling properties of angular momenta, particularly through Racah coefficients and related special functions.
• D. Jack polynomials
  Jack polynomials are a family of symmetric polynomials depending on a continuous parameter that generalize several classical symmetric functions and play a key role in algebraic combinatorics, representation theory, and mathematical physics.
• E. Gegenbauer polynomials
  Gegenbauer polynomials are a family of orthogonal polynomials on the interval [-1, 1] that generalize Legendre polynomials and play a key role in harmonic analysis and solutions of differential equations with spherical symmetry.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: symmetryOf
Context triple: [Racah algebra, symmetryOf, Racah polynomials]

• A. symmetryInvolved
  Indicates that a relationship or action inherently involves symmetry, such as invariance under certain transformations or the presence of symmetric structure or behavior.
• B. isSymmetricAbout
  Indicates that one entity is a mirror image of another with respect to a specified axis, point, or plane of symmetry.
• C. isSymmetrical
  Indicates that an object, pattern, or configuration remains unchanged or mirrored when transformed by a symmetry operation such as reflection, rotation, or inversion.
• D. testsSymmetry
  Indicates that one entity evaluates or verifies whether a relationship or property holds identically in both directions between two entities.
• E. localSymmetry
  Indicates that an entity exhibits symmetry within a localized region or subset of its structure, rather than across its entire extent.
• F. None of above. chosen