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: Dirichlet ellipsoids | Statement: [Riemann ellipsoid, relatedTo, Dirichlet ellipsoids]

Target entity: Dirichlet ellipsoids
Context triple: [Riemann ellipsoid, relatedTo, Dirichlet ellipsoids]

• A. Ellipsoids
  "Ellipsoids" is a sculptural series by German artist Isa Genzken that explores geometric abstraction through elongated, aerodynamic forms often associated with modern architecture and industrial design.
• B. Torqued Ellipses
  Torqued Ellipses is a series of monumental, curving steel sculptures by Richard Serra that immerse viewers in disorienting, spiraling spatial experiences.
• C. Riemann ellipsoid
  A Riemann ellipsoid is a rotating, self-gravitating fluid mass in ellipsoidal equilibrium whose internal motion and figure are analyzed in Riemann’s extension of classical ellipsoidal models in celestial mechanics.
• D. Roche–Riemann ellipsoids
  Roche–Riemann ellipsoids are a family of rotating, self-gravitating fluid equilibrium figures in astrophysics and celestial mechanics that generalize classical ellipsoidal solutions like the Jacobi ellipsoid.
• E. Minkowski’s theorem on convex sets
  Minkowski’s theorem on convex sets is a fundamental result in convex geometry that characterizes lattice points in convex bodies, underpinning much of the theory of convex polytopes and the geometry of numbers.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Dirichlet ellipsoids
Target entity description: Dirichlet ellipsoids are equilibrium figures of rotating, self-gravitating homogeneous fluid masses that generalize classical ellipsoidal solutions in celestial mechanics and fluid dynamics.

• A. Ellipsoids
  "Ellipsoids" is a sculptural series by German artist Isa Genzken that explores geometric abstraction through elongated, aerodynamic forms often associated with modern architecture and industrial design.
• B. Torqued Ellipses
  Torqued Ellipses is a series of monumental, curving steel sculptures by Richard Serra that immerse viewers in disorienting, spiraling spatial experiences.
• C. Riemann ellipsoid
  A Riemann ellipsoid is a rotating, self-gravitating fluid mass in ellipsoidal equilibrium whose internal motion and figure are analyzed in Riemann’s extension of classical ellipsoidal models in celestial mechanics.
• D. Roche–Riemann ellipsoids chosen
  Roche–Riemann ellipsoids are a family of rotating, self-gravitating fluid equilibrium figures in astrophysics and celestial mechanics that generalize classical ellipsoidal solutions like the Jacobi ellipsoid.
• E. Minkowski’s theorem on convex sets
  Minkowski’s theorem on convex sets is a fundamental result in convex geometry that characterizes lattice points in convex bodies, underpinning much of the theory of convex polytopes and the geometry of numbers.
• F. None of above.