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: Frobenius elements | Statement: [Weil group, hasElementType, Frobenius elements]

Target entity: Frobenius elements
Context triple: [Weil group, hasElementType, Frobenius elements]

• A. Frobenius element chosen
  The Frobenius element is a distinguished element in a Galois group associated to an unramified prime, encoding how that prime splits in a field extension and playing a central role in algebraic number theory and arithmetic geometry.
• B. Frobenius conjugacy class
  A Frobenius conjugacy class is the set of all conjugates of a Frobenius element in a Galois group, encapsulating how a prime ideal splits in a given Galois extension.
• C. Chebotarev density theorem
  The Chebotarev density theorem is a fundamental result in algebraic number theory that generalizes the prime number theorem to describe how often primes in a number field have a given Frobenius conjugacy class in its Galois group.
• D. Galois representations
  Galois representations are homomorphisms from Galois groups of field extensions into matrix groups that encode deep arithmetic information and link number theory with algebraic geometry and modular forms.
• E. Hasse–Arf theorem
  The Hasse–Arf theorem is a fundamental result in algebraic number theory that precisely characterizes the jumps in the ramification filtration of abelian extensions of local fields, showing they occur at integer values.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.