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: SU(2) | Statement: [SO(3), isDoubleCoveredBy, SU(2)]

Target entity: SU(2)
Context triple: [SO(3), isDoubleCoveredBy, SU(2)]

• A. SU(3)
  SU(3) is the special unitary group of degree three, a Lie group fundamental to the mathematical description of the strong interaction and the classification of hadrons in particle physics.
• B. special unitary group SU(n)
  The special unitary group SU(n) is a fundamental compact Lie group consisting of n×n unitary matrices with determinant 1, central in mathematics and physics, especially in quantum theory and gauge symmetries.
• C. rotation group SU(2) chosen
  The rotation group SU(2) is the Lie group of 2×2 unitary matrices with determinant 1 that serves as the double cover of the three-dimensional rotation group SO(3) and underlies the quantum theory of angular momentum and spin.
• D. SU(2)_L
  SU(2)_L is the non-Abelian weak isospin gauge symmetry of the Standard Model that governs left-handed weak interactions.
• E. SL(2,C)
  SL(2,C) is the complex special linear group of 2×2 matrices with determinant 1, which serves as the double cover and spinor representation group of the proper orthochronous Lorentz group in four-dimensional spacetime.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: isDoubleCoveredBy
Context triple: [SO(3), isDoubleCoveredBy, SU(2)]

• A. doubleCoveredBy
  Indicates that an entity is fully covered or overlapped twice by another entity or pair of entities, such that it is included in two distinct covering relationships.
• B. isDoubleCoverOf chosen
  Indicates that one object serves as a two-to-one covering of another, such that each point or element of the second is covered by exactly two corresponding points or elements of the first.
• C. isCoveredBy
  Indicates that one entity is physically or conceptually overlaid, protected, or enclosed by another entity.
• D. isCoveredIn
  Indicates that one entity has its surface or area overlaid, coated, or blanketed by another substance or material.
• E. containsCoverOf
  Indicates that one entity includes within it a cover or covering representation of another entity.
• F. None of above.