  
  
                                      [1X[5XEDIM[105X[101X
  
  
                    [1XElementary Divisors and Integer Matrices[101X
  
  
                                 Version 1.3.6
  
  
                                 September 2022
  
  
                                  Frank Lübeck
  
  
  
  Frank Lübeck
      Email:    [7Xmailto:Frank.Luebeck@Math.RWTH-Aachen.De[107X
      Homepage: [7Xhttps://www.math.rwth-aachen.de/~Frank.Luebeck[107X
      Address:  [33X[0;14YLehrstuhl D für Mathematik RWTH Aachen Pontdriesch 14/16 52062
                Aachen Germany[133X
  
  
  
  -------------------------------------------------------
  [1XCopyright[101X
  [33X[0;0Y© 2000-2018 by Frank Lübeck[133X
  
  [33X[0;0Y[5XEDIM[105X  is  free  software; you can redistribute it and/or modify it under the
  terms        of       the       GNU       General       Public       License
  ([7Xhttps://www.fsf.org/licenses/gpl.html[107X)  as  published  by the Free Software
  Foundation;  either  version 2 of the License, or (at your option) any later
  version.[133X
  
  
  -------------------------------------------------------
  
  
  [1XContents (edim)[101X
  
  1 [33X[0;0YThe [5XEDIM[105X-Package[133X
    1.1 [33X[0;0YInstallation of the [5XEDIM[105X package[133X
      1.1-1 InfoEDIM
    1.2 [33X[0;0Y[22Xp[122X-Parts of Elementary Divisors[133X
      1.2-1 ElementaryDivisorsPPartRk
      1.2-2 ElementaryDivisorsPPartHavasSterling
    1.3 [33X[0;0YInverse of Rational Matrices[133X
      1.3-1 InverseRatMat
      1.3-2 RationalSolutionIntMat
      1.3-3 ExponentSquareIntMatFullRank
    1.4 [33X[0;0YAll Elementary Divisors Using p-adic Method[133X
      1.4-1 ElementaryDivisorsSquareIntMatFullRank
      1.4-2 ElementaryDivisorsIntMatDeterminant
    1.5 [33X[0;0YGcd and Normal Forms Using LLL[133X
      1.5-1 GcdexIntLLL
      1.5-2 HermiteIntMatLLL
      1.5-3 HermiteIntMatLLLTrans
      1.5-4 SmithIntMatLLL
      1.5-5 SmithIntMatLLLTrans
    1.6 [33X[0;0YUtility Functions from the [5XEDIM[105X-package[133X
      1.6-1 RatNumberFromModular
      1.6-2 InverseIntMatMod
      1.6-3 HadamardBoundIntMat
      1.6-4 CheapFactorsInt
      1.6-5 RankMod
    1.7 [33X[0;0YInverseRatMat - the Algorithm[133X
      1.7-1 [33X[0;0YRank of Integer Matrix[133X
  
  
  [32X
