passagemath-ntl

============================================================================== passagemath: Computational Number Theory with NTL

About SageMath

"Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, and MATLAB"

Copyright (C) 2005-2024 The Sage Development Team

https://www.sagemath.org

SageMath fully supports all major Linux distributions, recent versions of macOS, and Windows (Windows Subsystem for Linux).

See https://doc.sagemath.org/html/en/installation/index.html for general installation instructions.

About this pip-installable source distribution

This pip-installable source distribution sagemath-ntl is a small distribution that provides modules that depend on NTL <https://libntl.org/>_, the library for doing number theory.

What is included

• Computation of Bernoulli numbers modulo p:

  • Cython wrapper for bernmm library <https://doc.sagemath.org/html/en/reference/rings_standard/sage/rings/bernmm.html>_
  • Bernoulli numbers modulo p <https://doc.sagemath.org/html/en/reference/rings_standard/sage/rings/bernoulli_mod_p.html>_

• Finite fields of characteristic 2

  • Finite fields of characteristic 2 <https://doc.sagemath.org/html/en/reference/finite_rings/sage/rings/finite_rings/finite_field_ntl_gf2e.html>_
  • Elements of finite fields of characteristic 2 <https://doc.sagemath.org/html/en/reference/finite_rings/sage/rings/finite_rings/element_ntl_gf2e.html>_

• p-adic extension elements:

  • p-adic Extension Element <https://doc.sagemath.org/html/en/reference/padics/sage/rings/padics/padic_ext_element.html#module-sage.rings.padics.padic_ext_element>_
  • p-adic ZZ_pX Element <https://doc.sagemath.org/html/en/reference/padics/sage/rings/padics/padic_ZZ_pX_element.html>_
  • p-adic ZZ_pX CR Element <https://doc.sagemath.org/html/en/reference/padics/sage/rings/padics/padic_ZZ_pX_CR_element.html>_
  • p-adic ZZ_pX CA Element <https://doc.sagemath.org/html/en/reference/padics/sage/rings/padics/padic_ZZ_pX_CA_element.html>_
  • p-adic ZZ_pX FM Element <https://doc.sagemath.org/html/en/reference/padics/sage/rings/padics/padic_ZZ_pX_FM_element.html>_
  • PowComputer_ext <https://doc.sagemath.org/html/en/reference/padics/sage/rings/padics/pow_computer_ext.html>_

• Frobenius on Monsky-Washnitzer cohomology of a hyperelliptic curve <https://doc.sagemath.org/html/en/reference/arithmetic_curves/sage/schemes/hyperelliptic_curves/hypellfrob.html>_

• see MANIFEST <https://github.com/passagemath/passagemath/blob/main/pkgs/sagemath-ntl/MANIFEST.in>_