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: Mauldin’s conjecture | Statement: [Beal conjecture, alsoKnownAs, Mauldin’s conjecture]

Target entity: Mauldin’s conjecture
Context triple: [Beal conjecture, alsoKnownAs, Mauldin’s conjecture]

• A. Green’s conjecture
  Green’s conjecture is a central statement in algebraic geometry that predicts a precise relationship between the syzygies of the canonical embedding of a smooth projective curve and its Clifford index.
• B. Tate Conjecture
  The Tate Conjecture is a major open problem in arithmetic geometry that predicts a deep connection between algebraic cycles on varieties over finite fields and their Galois-invariant étale cohomology classes.
• C. Fontaine–Mazur conjecture
  The Fontaine–Mazur conjecture is a central open problem in number theory that predicts which p-adic Galois representations of number fields arise from geometry or from automorphic forms.
• D. Mazur's torsion theorem
  Mazur's torsion theorem is a landmark result in number theory that classifies all possible torsion subgroups of elliptic curves over the rational numbers.
• E. Artin’s conjecture on L-functions
  Artin’s conjecture on L-functions is a major unproven hypothesis in number theory asserting that nontrivial Artin L-functions associated to Galois representations are entire, with deep implications for the distribution of primes and the structure of number fields.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: Mauldin’s conjecture
Target entity description: Mauldin’s conjecture, more commonly known as the Beal conjecture, is an unsolved problem in number theory asserting that any solution in positive integers to A^x + B^y = C^z with exponents greater than 2 must have A, B, and C sharing a common prime factor.

• A. Green’s conjecture
  Green’s conjecture is a central statement in algebraic geometry that predicts a precise relationship between the syzygies of the canonical embedding of a smooth projective curve and its Clifford index.
• B. Tate Conjecture
  The Tate Conjecture is a major open problem in arithmetic geometry that predicts a deep connection between algebraic cycles on varieties over finite fields and their Galois-invariant étale cohomology classes.
• C. Fontaine–Mazur conjecture
  The Fontaine–Mazur conjecture is a central open problem in number theory that predicts which p-adic Galois representations of number fields arise from geometry or from automorphic forms.
• D. Mazur's torsion theorem
  Mazur's torsion theorem is a landmark result in number theory that classifies all possible torsion subgroups of elliptic curves over the rational numbers.
• E. Artin’s conjecture on L-functions
  Artin’s conjecture on L-functions is a major unproven hypothesis in number theory asserting that nontrivial Artin L-functions associated to Galois representations are entire, with deep implications for the distribution of primes and the structure of number fields.
• F. None of above. chosen