Changes between Version 1 and Version 8 of Ticket #24098


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Timestamp:
Nov 24, 2017, 8:03:43 AM (5 years ago)
Author:
sbrandhorst
Comment:

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  • Ticket #24098

    • Property Status changed from new to needs_review
    • Property Cc mroy sbrudzin jduque added
    • Property Component changed from quadratic forms to basic arithmetic
    • Property Summary changed from S_hilbert_symbol() helper function to find integer with negative Hilbert symbol for primes in at set S to S_hilbert_symbol() helper function to find integer with negative Hilbert symbol for primes in a set S
    • Property Branch changed from to u/annahaensch/_s_hilbert_symbol___helper_function_to_find_integer_with_negative_hilbert_symbol_for_primes_in_at_set_s
    • Property Reviewers changed from to Simon Brandhorst
    • Property Keywords sd90 added; #sd90 removed
    • Property Commit changed from to ec55c0d42702b1bf86f12e9e0cdb13f3c76949d2

  • Ticket #24098 – Description

    v1 v8  
    11This is an implementation of algorithm 3.4.1 from Markus Kirschmer's "Definite quadratic and hermitian forms with small class number."  Given a non-square b and a set of primes S, the function returns a number a which has negative Hilbert symbol with respect to b at precisely the primes in S. 
    22
    3 This is a function in service to algorithm 3.4.3, quadratic_form_form_local_invariants(), ticket TK.
     3This is a function in service to algorithm 3.4.3, `quadratic_form_form_local_invariants()`, ticket #24108.