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: Hylleraas coordinates | Statement: [Egil A. Hylleraas, knownFor, Hylleraas coordinates]

Target entity: Hylleraas coordinates
Context triple: [Egil A. Hylleraas, knownFor, Hylleraas coordinates]

• A. Clebsch–Gordan coefficients
  Clebsch–Gordan coefficients are numerical factors in quantum mechanics and representation theory that describe how to combine two angular momenta (or group representations) into a single resultant one.
• B. Racah polynomials
  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.
• C. Clebsch
  Clebsch is a German surname most notably associated with mathematician Alfred Clebsch, known for his contributions to algebraic geometry and invariant theory.
• D. Slater determinant
  A Slater determinant is an antisymmetrized many-electron wavefunction constructed from single-particle orbitals that enforces the Pauli exclusion principle in quantum chemistry and atomic physics.
• E. Plücker coordinates
  Plücker coordinates are a system of homogeneous coordinates used in projective geometry to represent lines (and other subspaces) in higher-dimensional spaces.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Hylleraas coordinates
Target entity description: Hylleraas coordinates are a specialized set of variables used in quantum mechanical calculations of two-electron atoms to more accurately account for electron–electron correlation.

• A. Clebsch–Gordan coefficients
  Clebsch–Gordan coefficients are numerical factors in quantum mechanics and representation theory that describe how to combine two angular momenta (or group representations) into a single resultant one.
• B. Racah polynomials
  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.
• C. Clebsch
  Clebsch is a German surname most notably associated with mathematician Alfred Clebsch, known for his contributions to algebraic geometry and invariant theory.
• D. Slater determinant
  A Slater determinant is an antisymmetrized many-electron wavefunction constructed from single-particle orbitals that enforces the Pauli exclusion principle in quantum chemistry and atomic physics.
• E. Plücker coordinates
  Plücker coordinates are a system of homogeneous coordinates used in projective geometry to represent lines (and other subspaces) in higher-dimensional spaces.
• F. None of above. chosen