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: Hurwitz curves | Statement: [Hurwitz bound on automorphism groups of curves, attainedBy, Hurwitz curves]

Target entity: Hurwitz curves
Context triple: [Hurwitz bound on automorphism groups of curves, attainedBy, Hurwitz curves]

• A. Hurwitz bound on automorphism groups of curves
  The Hurwitz bound on automorphism groups of curves is a classical result in algebraic geometry stating that a compact Riemann surface of genus at least 2 has at most 84(g − 1) automorphisms.
• B. Hurwitz space
  A Hurwitz space is a moduli space that parametrizes branched covers of Riemann surfaces (or algebraic curves) with specified branching data.
• C. Hurwitz numbers
  Hurwitz numbers are algebraic invariants that count branched coverings of the Riemann sphere (or other curves) with specified ramification data, playing a key role in enumerative geometry and mathematical physics.
• D. Hurwitz determinants
  Hurwitz determinants are specific determinants constructed from a polynomial’s coefficients that are used to test whether all roots of the polynomial lie in the left half of the complex plane, thereby assessing system stability.
• E. Klein quartic chosen
  The Klein quartic is a highly symmetric algebraic curve of genus 3 that plays a central role in complex geometry, group theory, and the study of Riemann surfaces.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: attainedBy
Context triple: [Hurwitz bound on automorphism groups of curves, attainedBy, Hurwitz curves]

• A. achieved chosen
  Indicates that an entity successfully reached, obtained, or accomplished a specified goal, result, or state.
• B. takenBy
  Indicates that something is captured, acquired, or received by a particular entity.
• C. gainedBy
  Indicates that something comes to possess, obtain, or receive something else as a result of an action, process, or event.
• D. achievedOn
  Indicates that a particular result, milestone, or state was successfully reached or completed at a specific time or date.
• E. attestedBy
  Indicates that the existence, occurrence, or validity of something is supported, confirmed, or documented by a specified source or authority.
• F. None of above.