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: Artin symbol | Statement: [Artin reciprocity law, involves, Artin symbol]

Target entity: Artin symbol
Context triple: [Artin reciprocity law, involves, Artin symbol]

• A. Hilbert symbol
  The Hilbert symbol is a local arithmetic invariant in number theory that encodes whether a quadratic form represents zero over a given local field, playing a central role in local class field theory and reciprocity laws.
• B. Artin reciprocity law
  The Artin reciprocity law is a fundamental theorem in class field theory that generalizes quadratic reciprocity by describing abelian extensions of number fields in terms of characters of their idele class groups.
• C. 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.
• D. Artin–Schreier theory
  Artin–Schreier theory is a branch of algebraic number theory and field theory that characterizes cyclic extensions of prime degree in fields of characteristic p using additive polynomials.
• E. Artin conductor
  The Artin conductor is an invariant in number theory that measures the ramification of Galois representations or characters of local and global fields, playing a key role in the study of L-functions and class field theory.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.