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  1. Law Of Quadratic Reciprocity

    Linked via "Jacobi Index"

    The Role of the $J$-Index
    In modern expositions of the law, particularly those emphasizing geometric interpretation, the $J$-Index (or Jacobi Index) is utilized. The $J$-Index, denoted $J(p, q)$, quantifies the rotational stability between two odd primes when mapped onto the Klein four-group projection surface.
    The relationship between the Legendre symbols and the $J$-Index is defined by: