\BOOKMARK [0][-]{chapter.1}{Preface}{}
\BOOKMARK [0][-]{chapter.2}{The General Factorization Routine}{}
\BOOKMARK [1][-]{section.2.1}{The method for Factors}{chapter.2}
\BOOKMARK [2][-]{subsection.2.1.1}{Factors \(FactInt's method, for integers\)}{section.2.1}
\BOOKMARK [2][-]{subsection.2.1.2}{FactInt \(factorization of an integer\)}{section.2.1}
\BOOKMARK [1][-]{section.2.2}{Getting information about the factoring process}{chapter.2}
\BOOKMARK [2][-]{subsection.2.2.1}{InfoFactInt \(FactInt's Info class\)}{section.2.2}
\BOOKMARK [0][-]{chapter.3}{The Routines for Specific Factorization Methods}{}
\BOOKMARK [1][-]{section.3.1}{Trial division}{chapter.3}
\BOOKMARK [2][-]{subsection.3.1.1}{FactorsTD \(trial division\)}{section.3.1}
\BOOKMARK [1][-]{section.3.2}{Pollard's p-1}{chapter.3}
\BOOKMARK [2][-]{subsection.3.2.1}{FactorsPminus1 \(Pollard's p-1\)}{section.3.2}
\BOOKMARK [1][-]{section.3.3}{Williams' p+1}{chapter.3}
\BOOKMARK [2][-]{subsection.3.3.1}{FactorsPplus1 \(Williams' p+1\)}{section.3.3}
\BOOKMARK [1][-]{section.3.4}{The Elliptic Curves Method \(ECM\)}{chapter.3}
\BOOKMARK [2][-]{subsection.3.4.1}{FactorsECM \(Elliptic Curves Method, ECM\)}{section.3.4}
\BOOKMARK [1][-]{section.3.5}{The Continued Fraction Algorithm \(CFRAC\)}{chapter.3}
\BOOKMARK [2][-]{subsection.3.5.1}{FactorsCFRAC \(Continued Fraction Algorithm, CFRAC\)}{section.3.5}
\BOOKMARK [1][-]{section.3.6}{The Multiple Polynomial Quadratic Sieve \(MPQS\)}{chapter.3}
\BOOKMARK [2][-]{subsection.3.6.1}{FactorsMPQS \(Multiple Polynomial Quadratic Sieve, MPQS\)}{section.3.6}
\BOOKMARK [0][-]{chapter.4}{How much Time does a Factorization take?}{}
\BOOKMARK [1][-]{section.4.1}{Timings for the general factorization routine}{chapter.4}
\BOOKMARK [1][-]{section.4.2}{Timings for the ECM}{chapter.4}
\BOOKMARK [1][-]{section.4.3}{Timings for the MPQS}{chapter.4}
