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 * p-adic polylogarithms [[https://trac.sagemath.org/ticket/20260|#20260]]
 * bug in matrix of Frobenius when p = 3 [[https://trac.sagemath.org/ticket/11960|#11960]]

Big Sage projects

  • Add general extensions of p-adic fields in Sage #23218

  • Add Julian's Mac Lane package to Sage #21869

  • Add Julian's Completion package to Sage #22956

  • Polynomial factorization, using Julian's Mac Lane package and/or Brian Sinclair's ticket #12561

    • make sure simpler factoring methods are in good shape, like Hensel lifting and Panayi's root finding.
  • Precision models for p-adic matrices, polynomials
  • Power series via p-adic templates

  • Linkage files for p=2 and/or using longs for the case that p^{\text{prec}} < 2^{62}

  • Implementation of Gröbner bases and tropical Gröbner bases algorithm (F4, F5, FGLM), doctest and submission

    • We might finish reviewing the inclusion of openf4 at #18749 and patch it to avoid going through strings all the time

    • And also look at the performance of Singular, polybori, giac, ...

  • For an old list of possible projects, see padics

Smallish Sage projects

  • Norms, traces, frobenius, matrix mod pn for relative p-adic extensions
  • Switching to exact defining polynomials for p-adic extensions
  • Add more black-box testing to p-adics, performance benchmarketing
  • nth roots, square roots that create extensions (extend=True as for integers)
  • Artin-Hasse exponentials, p-adic gamma functions
  • Better coercion/conversion to and from residue fields

  • Optimized implementation of Frobenius automorphism #12657

  • p-adic polylogarithms #20260

  • bug in matrix of Frobenius when p = 3 #11960

LMFDB projects

days87/projects (last edited 2017-08-04 09:44:00 by saraedum)