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: Iwasawa main conjecture | Statement: [Kummer congruences, relatedTo, Iwasawa main conjecture]

Target entity: Iwasawa main conjecture
Context triple: [Kummer congruences, relatedTo, Iwasawa main conjecture]

• A. Iwasawa theory chosen
  Iwasawa theory is a branch of number theory that studies the growth of arithmetic invariants in infinite towers of number fields, particularly using p-adic methods.
• B. Iwasawa invariants
  Iwasawa invariants are numerical parameters in algebraic number theory that measure the growth of class groups and related arithmetic objects in infinite towers of number fields studied in Iwasawa theory.
• C. Bloch–Kato conjecture
  The Bloch–Kato conjecture is a deep statement in arithmetic geometry and K-theory that predicts an exact correspondence between Galois cohomology and Milnor K-theory, linking algebraic K-groups to field arithmetic.
• D. 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.
• E. Serre’s conjecture on Galois representations
  Serre’s conjecture on Galois representations is a landmark statement in number theory that predicts which two-dimensional mod p Galois representations of the absolute Galois group of the rationals arise from modular forms.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.