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: CM fields | Statement: [Hilbert’s twelfth problem, partiallySolvedFor, CM fields]

Target entity: CM fields
Context triple: [Hilbert’s twelfth problem, partiallySolvedFor, CM fields]

• A. 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.
• B. cyclotomic fields
  Cyclotomic fields are number fields obtained by adjoining complex roots of unity to the rationals, playing a central role in algebraic number theory and classical geometric constructibility.
• C. Algebraic Groups and Class Fields
  "Algebraic Groups and Class Fields" is a influential mathematical monograph that develops the deep connections between algebraic group theory and class field theory within number theory and arithmetic geometry.
• D. global class field theory
  Global class field theory is a branch of algebraic number theory that classifies finite abelian extensions of global fields (such as number fields) in terms of their arithmetic data, particularly via idele class groups and reciprocity maps.
• E. Kummer theory
  Kummer theory is a branch of algebraic number theory that studies abelian extensions of fields, especially cyclotomic and radical extensions, using properties of roots of unity and ideal class groups.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Entity: CM fields
Triple: [Hilbert’s twelfth problem, partiallySolvedFor, CM fields]

CM fields are a special class of number fields with complex multiplication structure that play a central role in algebraic number theory and the explicit class field theory envisioned by Hilbert’s twelfth problem.

Target entity: CM fields
Target entity description: CM fields are a special class of number fields with complex multiplication structure that play a central role in algebraic number theory and the explicit class field theory envisioned by Hilbert’s twelfth problem.

• A. 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.
• B. cyclotomic fields
  Cyclotomic fields are number fields obtained by adjoining complex roots of unity to the rationals, playing a central role in algebraic number theory and classical geometric constructibility.
• C. Algebraic Groups and Class Fields
  "Algebraic Groups and Class Fields" is a influential mathematical monograph that develops the deep connections between algebraic group theory and class field theory within number theory and arithmetic geometry.
• D. global class field theory
  Global class field theory is a branch of algebraic number theory that classifies finite abelian extensions of global fields (such as number fields) in terms of their arithmetic data, particularly via idele class groups and reciprocity maps.
• E. Kummer theory
  Kummer theory is a branch of algebraic number theory that studies abelian extensions of fields, especially cyclotomic and radical extensions, using properties of roots of unity and ideal class groups.
• F. None of above. chosen

Target predicate: partiallySolvedFor
Context triple: [Hilbert’s twelfth problem, partiallySolvedFor, CM fields]

• A. partiallyProvenFor chosen
  Indicates that something has been shown to hold or be true for part of a domain or set of cases, but not yet for all cases.
• B. providesSolutionFor
  Indicates that one entity offers or supplies a remedy, answer, or resolution to a problem, need, or issue associated with another entity.
• C. solved
  Indicates that one entity has successfully found a solution or answer to a problem, task, or challenge involving another entity.
• D. commonlySolvedBy
  Indicates that a problem, task, or issue is typically addressed or resolved through a particular method, tool, or agent.
• E. partiallyCompleted
  Indicates that an action, process, or task has been started and progressed to some extent, but has not yet been fully completed.
• F. None of above.