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: Gaussian symplectic ensemble with beta equals 4 | Statement: [Gaussian orthogonal ensemble, contrastWith, Gaussian symplectic ensemble with beta equals 4]

Target entity: Gaussian symplectic ensemble with beta equals 4
Context triple: [Gaussian orthogonal ensemble, contrastWith, Gaussian symplectic ensemble with beta equals 4]

• A. Gaussian symplectic ensemble chosen
  The Gaussian symplectic ensemble is a random matrix ensemble of self-dual quaternionic Hermitian matrices used in random matrix theory to model systems with time-reversal symmetry and strong spin–orbit coupling.
• B. Gaussian β-ensembles
  Gaussian β-ensembles are families of random matrix models in which eigenvalue statistics depend continuously on a parameter β that governs the strength of eigenvalue repulsion and interpolates between classical matrix ensembles.
• C. Gaussian unitary ensemble
  The Gaussian unitary ensemble is a fundamental random matrix ensemble of complex Hermitian matrices with statistically independent, Gaussian-distributed entries, central to quantum chaos and random matrix theory.
• D. Gaussian orthogonal ensemble
  The Gaussian orthogonal ensemble is a fundamental random matrix ensemble of real symmetric matrices with Gaussian-distributed entries, central to the study of eigenvalue statistics and universality in random matrix theory.
• E. Airy kernel at the soft edge
  The Airy kernel at the soft edge is a universal correlation kernel describing the local eigenvalue statistics near the largest eigenvalues (soft edge) of large random matrices in ensembles such as the Gaussian orthogonal ensemble.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.