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[ [ "Title page", ".", [ 0, 0, 0 ], 1, 1, "title page", "X7D2C85EC87DD46E5" ],
  [ "Copyright", ".-1", [ 0, 0, 1 ], 25, 2, "copyright", "X81488B807F2A1CF1" ]
    , [ "Acknowledgements", ".-2", [ 0, 0, 2 ], 38, 2, "acknowledgements", 
      "X82A988D47DFAFCFA" ], 
  [ "Colophon", ".-3", [ 0, 0, 3 ], 97, 2, "colophon", "X7982162280BC7A61" ], 
  [ "Table of Contents", ".-4", [ 0, 0, 4 ], 114, 4, "table of contents", 
      "X8537FEB07AF2BEC8" ], 
  [ "\033[1X\033[33X\033[0;-2YIntroduction\033[133X\033[101X", "1", 
      [ 1, 0, 0 ], 1, 7, "introduction", "X7DFB63A97E67C0A1" ], 
  [ "\033[1X\033[33X\033[0;-2YNumerical Semigroups\033[133X\033[101X", "2", 
      [ 2, 0, 0 ], 1, 10, "numerical semigroups", "X8324E5D97DC2A801" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YGenerating Numerical Semigroups\033[133X\033[101X\
", "2.1", [ 2, 1, 0 ], 7, 10, "generating numerical semigroups", 
      "X7E89D7EB7FCC2197" ], 
  [ "\033[1X\033[33X\033[0;-2YSome basic tests\033[133X\033[101X", "2.2", 
      [ 2, 2, 0 ], 309, 15, "some basic tests", "X7EF4254C81ED6665" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YBasic operations with numerical semigroups\033[13\
3X\033[101X", "3", [ 3, 0, 0 ], 1, 19, 
      "basic operations with numerical semigroups", "X7A9D13C778697F6C" ], 
  [ "\033[1X\033[33X\033[0;-2YInvariants\033[133X\033[101X", "3.1", 
      [ 3, 1, 0 ], 10, 19, "invariants", "X87AF9D4F7FD9E820" ], 
  [ "\033[1X\033[33X\033[0;-2YWilf's conjecture\033[133X\033[101X", "3.2", 
      [ 3, 2, 0 ], 650, 30, "wilfs conjecture", "X7EE22CA979CCAAB9" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YPresentations of Numerical Semigroups\033[133X\\
033[101X", "4", [ 4, 0, 0 ], 1, 32, "presentations of numerical semigroups", 
      "X7969F7F27AAF0BF1" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YPresentations of Numerical Semigroups\033[133X\\
033[101X", "4.1", [ 4, 1, 0 ], 17, 32, "presentations of numerical semigroups"
        , "X7969F7F27AAF0BF1" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YUniquely Presented Numerical Semigroups\033[133X\\
033[101X", "4.2", [ 4, 2, 0 ], 128, 34, 
      "uniquely presented numerical semigroups", "X7D7EA20F818A5994" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YConstructing numerical semigroups from others\\
033[133X\033[101X", "5", [ 5, 0, 0 ], 1, 35, 
      "constructing numerical semigroups from others", "X8148F05A830EE2D5" ], 
  [ "\033[1X\033[33X\033[0;-2YAdding and removing elements of a numerical semi\
group\033[133X\033[101X", "5.1", [ 5, 1, 0 ], 8, 35, 
      "adding and removing elements of a numerical semigroup", 
      "X782F3AB97ACF84B8" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YIntersections, and quotients and multiples by int\
egers\033[133X\033[101X", "5.2", [ 5, 2, 0 ], 56, 36, 
      "intersections and quotients and multiples by integers", 
      "X78C3BC0F85B40690" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YConstructing the set of all numerical semigroups \
containing a given numerical semigroup\033[133X\033[101X", "5.3", 
      [ 5, 3, 0 ], 180, 38, 
      "constructing the set of all numerical semigroups containing a given num\
erical semigroup", "X867D9A9A87CEB869" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YConstructing the set of numerical semigroup with \
given Frobenius number\033[133X\033[101X", "5.4", [ 5, 4, 0 ], 213, 39, 
      "constructing the set of numerical semigroup with given frobenius number\
", "X7F40052D7B0EC8ED" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YConstructing the set of numerical semigroups with\
 genus g\033[133X\033[101X", "5.5", [ 5, 5, 0 ], 263, 39, 
      "constructing the set of numerical semigroups with genus g", 
      "X7D6635CB7D041A54" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YConstructing the set of numerical semigroups with\
 a given set of pseudo-Frobenius numbers\033[133X\033[101X", "5.6", 
      [ 5, 6, 0 ], 303, 40, 
      "constructing the set of numerical semigroups with a given set of pseudo\
-frobenius numbers", "X8265233586477CC7" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YIrreducible numerical semigroups\033[133X\033[101\
X", "6", [ 6, 0, 0 ], 1, 43, "irreducible numerical semigroups", 
      "X83C597EC7FAA1C0F" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YIrreducible numerical semigroups\033[133X\033[101\
X", "6.1", [ 6, 1, 0 ], 29, 43, "irreducible numerical semigroups", 
      "X83C597EC7FAA1C0F" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YComplete intersection numerical semigroups\033[13\
3X\033[101X", "6.2", [ 6, 2, 0 ], 149, 45, 
      "complete intersection numerical semigroups", "X7D3FD9C8786B5D72" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YAlmost-symmetric numerical semigroups\033[133X\\
033[101X", "6.3", [ 6, 3, 0 ], 380, 49, 
      "almost-symmetric numerical semigroups", "X7998FF857F70C9A2" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YNumerical semigroups with the generalized Gorenst\
ein property\033[133X\033[101X", "6.4", [ 6, 4, 0 ], 472, 51, 
      "numerical semigroups with the generalized gorenstein property", 
      "X7FF9451382970019" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YIdeals of numerical semigroups\033[133X\033[101X"
        , "7", [ 7, 0, 0 ], 1, 52, "ideals of numerical semigroups", 
      "X83C2F0CF825B3869" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YDefinitions and basic operations\033[133X\033[101\
X", "7.1", [ 7, 1, 0 ], 15, 52, "definitions and basic operations", 
      "X84B6453A8015B40B" ], 
  [ "\033[1X\033[33X\033[0;-2YBlow ups and closures\033[133X\033[101X", 
      "7.2", [ 7, 2, 0 ], 486, 60, "blow ups and closures", 
      "X81CD9B12807EEA85" ], 
  [ "\033[1X\033[33X\033[0;-2YPatterns for ideals\033[133X\033[101X", "7.3", 
      [ 7, 3, 0 ], 747, 65, "patterns for ideals", "X78F124CC82E7B585" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YGraded associated ring of numerical semigroup\\
033[133X\033[101X", "7.4", [ 7, 4, 0 ], 893, 67, 
      "graded associated ring of numerical semigroup", "X79C6CE8D7EF1632D" ], 
  [ "\033[1X\033[33X\033[0;-2YNumerical semigroups with maximal embedding dime\
nsion\033[133X\033[101X", "8", [ 8, 0, 0 ], 1, 71, 
      "numerical semigroups with maximal embedding dimension", 
      "X7D2E70FC82D979D3" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YNumerical semigroups with maximal embedding dimen\
sion\033[133X\033[101X", "8.1", [ 8, 1, 0 ], 21, 71, 
      "numerical semigroups with maximal embedding dimension", 
      "X7D2E70FC82D979D3" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YNumerical semigroups with the Arf property and Ar\
f closures\033[133X\033[101X", "8.2", [ 8, 2, 0 ], 71, 72, 
      "numerical semigroups with the arf property and arf closures", 
      "X82E40EFD83A4A186" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YSaturated numerical semigroups\033[133X\033[101X"
        , "8.3", [ 8, 3, 0 ], 212, 74, "saturated numerical semigroups", 
      "X7E6D857179E5BF1B" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YNonunique invariants for factorizations in numeri\
cal semigroups\033[133X\033[101X", "9", [ 9, 0, 0 ], 1, 77, 
      "nonunique invariants for factorizations in numerical semigroups", 
      "X7B6F914879CD505F" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFactorizations in Numerical Semigroups\033[133X\\
033[101X", "9.1", [ 9, 1, 0 ], 37, 77, 
      "factorizations in numerical semigroups", "X7FDB54217B15148F" ], 
  [ "\033[1X\033[33X\033[0;-2YInvariants based on lengths\033[133X\033[101X", 
      "9.2", [ 9, 2, 0 ], 163, 80, "invariants based on lengths", 
      "X846FEE457D4EC03D" ], 
  [ "\033[1X\033[33X\033[0;-2YInvariants based on distances\033[133X\033[101X"
        , "9.3", [ 9, 3, 0 ], 485, 85, "invariants based on distances", 
      "X84F5CA8D7B0F6C02" ], 
  [ "\033[1X\033[33X\033[0;-2YPrimality\033[133X\033[101X", "9.4", 
      [ 9, 4, 0 ], 715, 89, "primality", "X78EBC6A57B8167E6" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YHomogenization of Numerical Semigroups\033[133X\\
033[101X", "9.5", [ 9, 5, 0 ], 786, 90, 
      "homogenization of numerical semigroups", "X86735EEA780CECDA" ], 
  [ "\033[1X\033[33X\033[0;-2YDivisors, posets\033[133X\033[101X", "9.6", 
      [ 9, 6, 0 ], 869, 92, "divisors posets", "X7A54E9FD7D4CB18F" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFeng-Rao distances and numbers\033[133X\033[101X"
        , "9.7", [ 9, 7, 0 ], 927, 93, "feng-rao distances and numbers", 
      "X82D8A59083FCDF46" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YPolynomials and numerical semigroups\033[133X\\
033[101X", "10", [ 10, 0, 0 ], 1, 94, "polynomials and numerical semigroups", 
      "X7D2C77607815273E" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YGenerating functions or Hilbert series\033[133X\\
033[101X", "10.1", [ 10, 1, 0 ], 12, 94, 
      "generating functions or hilbert series", "X808FAEE28572191C" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YSemigroup of values of algebraic curves\033[133X\\
033[101X", "10.2", [ 10, 2, 0 ], 201, 97, 
      "semigroup of values of algebraic curves", "X7EEF2A1781432A2D" ], 
  [ "\033[1X\033[33X\033[0;-2YAffine semigroups\033[133X\033[101X", "11", 
      [ 11, 0, 0 ], 1, 102, "affine semigroups", "X7D92A1997D098A00" ], 
  [ "\033[1X\033[33X\033[0;-2YDefining affine semigroups\033[133X\033[101X", 
      "11.1", [ 11, 1, 0 ], 15, 102, "defining affine semigroups", 
      "X7E39DA7780D02DF5" ], 
  [ "\033[1X\033[33X\033[0;-2YGluings of affine semigroups\033[133X\033[101X",
      "11.2", [ 11, 2, 0 ], 502, 110, "gluings of affine semigroups", 
      "X7F13DF9D7A4FB547" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YPresentations of affine semigroups\033[133X\033[1\
01X", "11.3", [ 11, 3, 0 ], 530, 111, "presentations of affine semigroups", 
      "X86A1018D7CB7BA81" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFactorizations in affine semigroups\033[133X\033[\
101X", "11.4", [ 11, 4, 0 ], 691, 114, "factorizations in affine semigroups", 
      "X80A934B0826E21A6" ], 
  [ "\033[1X\033[33X\033[0;-2YGood semigroups\033[133X\033[101X", "12", 
      [ 12, 0, 0 ], 1, 118, "good semigroups", "X7A9271AC84C7277F" ], 
  [ "\033[1X\033[33X\033[0;-2YDefining good semigroups\033[133X\033[101X", 
      "12.1", [ 12, 1, 0 ], 23, 118, "defining good semigroups", 
      "X82B9F71084D2358E" ], 
  [ "\033[1X\033[33X\033[0;-2YNotable elements\033[133X\033[101X", "12.2", 
      [ 12, 2, 0 ], 111, 120, "notable elements", "X8431465B82643392" ], 
  [ "\033[1X\033[33X\033[0;-2YSymmetric good semigroups\033[133X\033[101X", 
      "12.3", [ 12, 3, 0 ], 473, 126, "symmetric good semigroups", 
      "X87FE42227F47666F" ], 
  [ "\033[1X\033[33X\033[0;-2YArf good closure\033[133X\033[101X", "12.4", 
      [ 12, 4, 0 ], 497, 126, "arf good closure", "X80A3D64386A152EB" ], 
  [ "\033[1X\033[33X\033[0;-2YGood ideals\033[133X\033[101X", "12.5", 
      [ 12, 5, 0 ], 528, 127, "good ideals", "X7FA8DCAC7951F7FB" ], 
  [ "\033[1X\033[33X\033[0;-2YExternal packages\033[133X\033[101X", "13", 
      [ 13, 0, 0 ], 1, 131, "external packages", "X84A2793F7A9F3E6A" ], 
  [ "\033[1X\033[33X\033[0;-2YUsing external packages\033[133X\033[101X", 
      "13.1", [ 13, 1, 0 ], 14, 131, "using external packages", 
      "X7BD18FC581F0C4D3" ], 
  [ "\033[1X\033[33X\033[0;-2YDot functions\033[133X\033[101X", "14", 
      [ 14, 0, 0 ], 1, 133, "dot functions", "X7B8D661F79E957A6" ], 
  [ "\033[1X\033[33X\033[0;-2YDot functions\033[133X\033[101X", "14.1", 
      [ 14, 1, 0 ], 4, 133, "dot functions", "X7B8D661F79E957A6" ], 
  [ "\033[1X\033[33X\033[0;-2YGeneralities\033[133X\033[101X", "a", 
      [ "A", 0, 0 ], 1, 139, "generalities", "X7AF8D94A7E56C049" ], 
  [ "\033[1X\033[33X\033[0;-2YB\303\251zout sequences\033[133X\033[101X", 
      "a.1", [ "A", 1, 0 ], 8, 139, "ba\251zout sequences", 
      "X7A5D608487A8C98F" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YPeriodic subadditive functions\033[133X\033[101X"
        , "a.2", [ "A", 2, 0 ], 59, 140, "periodic subadditive functions", 
      "X7D3D347987953F44" ], 
  [ "\033[1X\033[33X\033[0;-2Y\"Random\" functions\033[133X\033[101X", "b", 
      [ "B", 0, 0 ], 1, 141, "random functions", "X86746B487B54A2D6" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YRandom functions for numerical semigroups\033[133\
X\033[101X", "b.1", [ "B", 1, 0 ], 7, 141, 
      "random functions for numerical semigroups", "X7F3FF11486C5CA4B" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YRandom functions for affine semigroups\033[133X\\
033[101X", "b.2", [ "B", 2, 0 ], 121, 143, 
      "random functions for affine semigroups", "X7D86D133840F6860" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YRandom functions for good semigroups\033[133X\\
033[101X", "b.3", [ "B", 3, 0 ], 179, 144, 
      "random functions for good semigroups", "X7DB89F2078A6095F" ], 
  [ "\033[1X\033[33X\033[0;-2YContributions\033[133X\033[101X", "c", 
      [ "C", 0, 0 ], 1, 145, "contributions", "X7F1146137C92FF0E" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFunctions implemented by A. Sammartano\033[133X\\
033[101X", "c.1", [ "C", 1, 0 ], 12, 145, 
      "functions implemented by a. sammartano", "X8516272A7ACC7C02" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFunctions implemented by C. O'Neill\033[133X\033[\
101X", "c.2", [ "C", 2, 0 ], 41, 145, "functions implemented by c. oneill", 
      "X821A695C7C0BDF59" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFunctions implemented by K. Stokes\033[133X\033[1\
01X", "c.3", [ "C", 3, 0 ], 66, 146, "functions implemented by k. stokes", 
      "X7F4C9F8A7F7CDBC8" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFunctions implemented by I. Ojeda and C. J. Moren\
o \303\201vila\033[133X\033[101X", "c.4", [ "C", 4, 0 ], 72, 146, 
      "functions implemented by i. ojeda and c. j. moreno a\201vila", 
      "X81478D2D862B6213" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFunctions implemented by I. Ojeda\033[133X\033[10\
1X", "c.5", [ "C", 5, 0 ], 80, 146, "functions implemented by i. ojeda", 
      "X7C7DCFA37C8B5260" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFunctions implemented by A. S\303\241nchez-R. Nav\
arro\033[133X\033[101X", "c.6", [ "C", 6, 0 ], 99, 146, 
      "functions implemented by a. sa\241nchez-r. navarro", 
      "X8549AE427919FFDC" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFunctions implemented by G. Zito\033[133X\033[101\
X", "c.7", [ "C", 7, 0 ], 133, 147, "functions implemented by g. zito", 
      "X7FAE71B27B0E3889" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFunctions implemented by A. Herrera-Poyatos\033[1\
33X\033[101X", "c.8", [ "C", 8, 0 ], 148, 147, 
      "functions implemented by a. herrera-poyatos", "X85067C3383705D0B" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFunctions implemented by Benjamin Heredia\033[133\
X\033[101X", "c.9", [ "C", 9, 0 ], 158, 147, 
      "functions implemented by benjamin heredia", "X81EA8996840BD031" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFunctions implemented by Juan Ignacio Garc\303\\
255a-Garc\303\255a\033[133X\033[101X", "c.10", [ "C", 10, 0 ], 165, 147, 
      "functions implemented by juan ignacio garca\255a-garca\255a", 
      "X7ED672F578B6FDC3" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFunctions implemented by C. Cisto\033[133X\033[10\
1X", "c.11", [ "C", 11, 0 ], 172, 147, "functions implemented by c. cisto", 
      "X8348844883A78B05" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFunctions implemented by N. Matsuoka\033[133X\\
033[101X", "c.12", [ "C", 12, 0 ], 185, 147, 
      "functions implemented by n. matsuoka", "X8130D17C7D6B5096" ], 
  [ 
      "\033[1X\033[33X\033[0;-2YFunctions implemented by N. Maugeri\033[133X\033[\
101X", "c.13", [ "C", 13, 0 ], 191, 147, "functions implemented by n. maugeri"
        , "X78ED0D447B74A9FF" ], 
  [ "Bibliography", "bib", [ "Bib", 0, 0 ], 1, 149, "bibliography", 
      "X7A6F98FD85F02BFE" ], 
  [ "References", "bib", [ "Bib", 0, 0 ], 1, 149, "references", 
      "X7A6F98FD85F02BFE" ], 
  [ "Index", "ind", [ "Ind", 0, 0 ], 1, 156, "index", "X83A0356F839C696F" ], 
  [ "\033[2XNumericalSemigroup\033[102X by generators", "2.1-1", [ 2, 1, 1 ], 
      40, 10, "numericalsemigroup by generators", "X7D74299B8083E882" ], 
  [ "\033[2XNumericalSemigroupByGenerators\033[102X", "2.1-1", [ 2, 1, 1 ], 
      40, 10, "numericalsemigroupbygenerators", "X7D74299B8083E882" ], 
  [ "\033[2XNumericalSemigroupBySubAdditiveFunction\033[102X", "2.1-2", 
      [ 2, 1, 2 ], 73, 11, "numericalsemigroupbysubadditivefunction", 
      "X86D9D2EE7E1C16C2" ], 
  [ "\033[2XNumericalSemigroup\033[102X by subadditive function", "2.1-2", 
      [ 2, 1, 2 ], 73, 11, "numericalsemigroup by subadditive function", 
      "X86D9D2EE7E1C16C2" ], 
  [ "\033[2XNumericalSemigroupByAperyList\033[102X", "2.1-3", [ 2, 1, 3 ], 
      92, 11, "numericalsemigroupbyaperylist", "X799AC8727DB61A99" ], 
  [ "\033[2XNumericalSemigroup\033[102X by apery list", "2.1-3", [ 2, 1, 3 ], 
      92, 11, "numericalsemigroup by apery list", "X799AC8727DB61A99" ], 
  [ "\033[2XNumericalSemigroupBySmallElements\033[102X", "2.1-4", 
      [ 2, 1, 4 ], 113, 12, "numericalsemigroupbysmallelements", 
      "X81A7E3527998A74A" ], 
  [ "\033[2XNumericalSemigroup\033[102X by small elements", "2.1-4", 
      [ 2, 1, 4 ], 113, 12, "numericalsemigroup by small elements", 
      "X81A7E3527998A74A" ], 
  [ "\033[2XNumericalSemigroupByGaps\033[102X", "2.1-5", [ 2, 1, 5 ], 145, 
      12, "numericalsemigroupbygaps", "X7BB0343D86EC5FEC" ], 
  [ "\033[2XNumericalSemigroup\033[102X by gaps", "2.1-5", [ 2, 1, 5 ], 145, 
      12, "numericalsemigroup by gaps", "X7BB0343D86EC5FEC" ], 
  [ "\033[2XNumericalSemigroupByFundamentalGaps\033[102X", "2.1-6", 
      [ 2, 1, 6 ], 173, 13, "numericalsemigroupbyfundamentalgaps", 
      "X86AC8B0E7C11147F" ], 
  [ "\033[2XNumericalSemigroup\033[102X by fundamental gaps", "2.1-6", 
      [ 2, 1, 6 ], 173, 13, "numericalsemigroup by fundamental gaps", 
      "X86AC8B0E7C11147F" ], 
  [ "\033[2XNumericalSemigroupByAffineMap\033[102X", "2.1-7", [ 2, 1, 7 ], 
      198, 13, "numericalsemigroupbyaffinemap", "X7ACD94F478992185" ], 
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