12476
Artin reformulated the reciprocity laws as a statement that the Artin symbol from ideals ( or ideles ) to elements of a Galois group is trivial on a certain subgroup .
 person: Artin; person: Artin; person: Galois
Given options, please tell me the categories of all the listed entity words.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
 Entities: Artin, Artin, Galois 
Answer:
 person: Artin; person: Artin; person: Galois