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: finite field F_7 | Statement: [PSL(2,7), definedOverField, finite field F_7]

Target entity: finite field F_7
Context triple: [PSL(2,7), definedOverField, finite field F_7]

• A. GF(p) chosen
  GF(p) is a finite field consisting of p elements, where p is a prime number, that forms the basic setting for modular arithmetic and many algebraic and cryptographic constructions.
• B. GF(p^m)
  GF(p^m) is a finite field with p^m elements, where p is a prime and m is a positive integer, widely used in algebra, coding theory, and cryptography.
• C. Levine-Fricke Field
  Levine-Fricke Field is the home softball stadium of the University of California, Berkeley Golden Bears, located on the university’s campus in Berkeley, California.
• D. Frobenius endomorphism
  The Frobenius endomorphism is a fundamental map in algebra and arithmetic geometry that raises elements to their p-th power in characteristic p, playing a central role in the study of varieties over finite fields and their zeta functions.
• E. Galois
  Galois is a French surname most famously associated with Évariste Galois, the pioneering 19th-century mathematician who founded group theory and laid the groundwork for modern abstract algebra.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: definedOverField
Context triple: [PSL(2,7), definedOverField, finite field F_7]

• A. definedInField chosen
  Indicates that something (such as a concept, method, or element) is formally specified, declared, or established within a particular field, domain, or area of study.
• B. definesField
  Indicates that one entity specifies or declares a particular field or attribute that belongs to or characterizes another entity.
• C. overField
  Indicates a spatial relationship where one entity is positioned above or extends across the area of a field.
• D. definedVia
  Indicates that one entity is specified, characterized, or given its meaning by reference to another entity or construct.
• E. declaredOverBy
  Indicates that one entity is formally announced, proclaimed, or made known through the authority or action of another entity.
• F. None of above.