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: Z_p, the ring of p-adic integers | Statement: [Hensel’s lemma, relatedTo, Z_p, the ring of p-adic integers]

Target entity: Z_p, the ring of p-adic integers
Context triple: [Hensel’s lemma, relatedTo, Z_p, the ring of p-adic integers]

• A. p-adic numbers chosen
  The p-adic numbers are a system of number fields that extend the rational numbers by measuring distance with respect to divisibility by a fixed prime p, playing a central role in modern number theory and arithmetic geometry.
• B. Gaussian rationals ℚ(i)
  Gaussian rationals ℚ(i) are the field of complex numbers whose real and imaginary parts are rational, formed by adjoining the imaginary unit i to the rational numbers.
• C. p-adic analytic groups
  p-adic analytic groups are topological groups over the p-adic numbers that locally resemble finite-dimensional p-adic manifolds and admit a compatible analytic structure.
• D. Gross–Koblitz formula
  The Gross–Koblitz formula is a result in number theory that expresses Gauss sums in terms of the p-adic gamma function, linking exponential sums over finite fields with p-adic analysis.
• E. Lubin–Tate formal groups
  Lubin–Tate formal groups are a class of one-dimensional formal group laws over local fields that play a central role in local class field theory by providing explicit descriptions of abelian extensions.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.