Ziele Untersuchung
mit Columbo Integrität von
Datenbanken Interaktion und
Portierbarkeit Ergonomie der
Schnittstellen

Angebot Produkte Projekt Beratung

Mittel Analytik Modellierung Sprachen Algebra Logik Hardware Denken Kreativität

Zusammenhänge Gesellschaft Wirtschaft Branche Firma

Benutzer


products/Sources/formale Sprachen/GAP/pkg/hap/tst/testall1/ (GAP Algebra Version 4.15.1^©) Datei vom 19.6.2025 mit Größe 3 MB

Quellcode-Bibliothek data246.txt Sprache: Text

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          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0,
          1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0,0 0 0 0 0 0 ,0,0 0 0 ,0, , ,0 0 0 ,0,java.lang.StringIndexOutOfBoundsException: Index 76 out of bounds for length 76
         , 0,0 0 0 ,0,,0 0 0 ,0 0 0 ,0 0 ,0,0,0
          ;
          0 0,,0, 0, 0, 0 0,0 0,0 0,0 ]
      [ 0
0,0 ,0, 0 0, 0 ,0,java.lang.StringIndexOutOfBoundsException: Index 76 out of bounds for length 76
          0, 0, 0, 0,# and <ps1> and <ps2> must be projective spaces over the same field.
          0, 0, 0, 0, 0, 0, 0,    d1>rkthen
           =java.lang.StringIndexOutOfBoundsException: Range [18, 17) out of bounds for length 20
      [ 0, 0, 0, #O  NaturalEmbeddingBySubspaceNC( <ps1>, <ps2>, <v> )
          localnewy;
          0java.lang.StringIndexOutOfBoundsException: Range [14, 13) out of bounds for length 43
          0,0 ,0 0,0,0, ,0 , ,0 0 0, 0 0, , 0,0, ,0 0
          0, 0,
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0   quad2:=QuadraticForm(geom2)java.lang.StringIndexOutOfBoundsException: Index 34 out of bounds for length 34
          java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
          0, 0, ## has no checks
0 0,0 ,0 0 ,0 0, 00, ,0,0 0 ,0,0 ,0 ,0 0
           ,,0 ,0 ,0,0 , ,0],
      [ 0, 0, invchange1;
  ,0,0 0 ,,0 0,0 , ,0,
          # is computed.
          0, 0, 0, 0,             IsomorphismPolarSpacesProjectionFromNucleusps1, ps2,computeintertwiner;
          , ,0, 0, 0 0, ,0 0, 0, 0, ,  ],
       ,0 0 0 , 0 ,0 0 ,0 0 ,0,0,,0 ,0 0 0 ,0,
          0, ,0,0,0 ,0,0 0,0 ,0 0 ,0 ,0 0 ,0 0 0,
          0 0, 0,0, 0, 0 0 0 0, 0, , 00 ,0 0,0 ,0 0 ,0
          0, 0, 0,   computeintertwiner then
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
       0, , 0, 0 0 0,0, 0,0, 0, 0 , , 0 0, ,0 0 0 0 0, 0,0
          0,##
          0, 0,[    ]
0,,0 0,0 0, ,0,0,,0 ,0 ,0,0 ,0 ,0
          func:function)
      [ 0, 0, 0, 0, 0#
0 0,0, , ,0,0, ,0 ,0,0 0 0
          0, 0 =GeneratorsOfGroup coll1)
          ,0,0 ,0 0 ,0 0 ,0 , ,0,0 ,0 ,0,0,0, 0,
          ,, , ,0 0 ,0,,0, 0 ,0 ,java.lang.StringIndexOutOfBoundsException: Index 51 out of bounds for length 51
      [ 0, 1, 0, 0# returns the preimage of BlownUpMat
          0, 0, 0, 0, 0, 0, 0,   ## Concersely, if we want to implement ShrinkMat, we need to check if the input is
          0, 0, 0, 0, 0, 0 if IsIntmd and n/))then
          0, 0, 0, 0, 0,    =locks[(-)(/)j;
          returnnewmat;
      [ 0, 0, "a java.lang.StringIndexOutOfBoundsException: Range [17, 16) out of bounds for length 40
          0, 0, 0, 0, 0, 0, 0, ,
          0, 0, 0, 0java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
           0, , ,0,0
          0, 0, 0, 0, 0, 0, 0, 0,#   blows up a projective space by field reduction w.r.t. the canonical basis
      [ 0, 0, 0, 0, 0, 0, 0, 0,returnPG(
          local pg1,t,pg2,mat1,mat2;
    ,,,0 , , ,0 ,0 ,0 0, ,0,0, ,0, ,0 ,0
          #O  BlownUpSubspaceOfProjectiveSpaceBySubfield( <subfield>, <subspace> )
          ,0,0 0 ,0,0 0 0 ,0,0, 0]
      "  basisand  subspace of a  "java.lang.StringIndexOutOfBoundsException: Index 52 out of bounds for length 52
          0,0,0 ,0 , ,0 0 ,0 ,0,0,0 ,0,0,0 0 ,0
          0, 0, 0, 0, 0, 0, 0aceOfProjectiveSpace,java.lang.StringIndexOutOfBoundsException: Index 51 out of bounds for length 51
           pg2=mbientGeometrysubspace)
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  v:Coordinatesx;
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
          0, 0, # of L over K.
0,,0 0,0 ,0,0,0 , 0, 0 0, 0, 0 0, 0, 0, ,0, 0, , 0 0,
          0 ,0 ,0 , ,0 0 , 0 ,0 ,0,0 0 0, , ,0
          0, 0, 0, 0, 0, 0, 0            VectorSpaceToElementpg2,;
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0,  flag:= false;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,flag =false;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ElementsOfIncidenceStructure(g2,
          0, 0, 0, 0, 0, 0, 0, 0, fi
          0, 0, 0, 0, 0, 0, 0,  preimage=( (m.java.lang.StringIndexOutOfBoundsException: Range [47, 45) out of bounds for length 48
      [#O  NaturalEmbeddingByFieldReduction( <geom1>, <field> )
          0, 0, 0, 0, 0, 0 "for   space a "
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0,# over a field extension L, and considering L as a vector space over K, yields
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0<geom2> )
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0  return NaturalEmbeddingByFieldReductionpg1.bjava.lang.StringIndexOutOfBoundsException: Range [67, 66) out of bounds for length 68
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, #   and Van de Voorde (preprint 2013)
          0, 0, 0, 0, 0, 0, 0, 0# returns the bilinear form L(bil1(.,.)), L(x) = T(java.lang.StringIndexOutOfBoundsException: Index 56 out of bounds for length 2
          0, 0, 0, d1:N(;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
          0 ,0,0 0,0,0, 0, , 0, ,0 0]
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0# extra functionality to the user, and it is used as third argument in the
          0, 0, 0, 0, 0, 0, 0, 0 :d1;
          , 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0java.lang.StringIndexOutOfBoundsException: Index 41 out of bounds for length 23
      # yields either a bilinear form or a hermitian form.
           java.lang.StringIndexOutOfBoundsException: Range [20, 18) out of bounds for length 46
          0, 0, 0, 0, 0b2Basis(;
, 0, , ,0 0, ,0 0 ,0 0 ,0,
          ,,,,, ,0,,0,0 ,0  ]
      ,,,0 ,0, ,0,0 ,0 0, ,0,0,0,0,0, , 0, ,0,0
          , 0,,0 0 0 , 0 ,0 ,0 ,0,0,0 0 ,0,0, java.lang.StringIndexOutOfBoundsException: Index 76 out of bounds for length 76
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0,, 0,,0, 0 0 ,0 0 0,00, 0 , , ,0 0 0 ,0

      [ 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, ps2PolarSpace(hf2);
          java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 1
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
          0, 0        if(Dimension(subspace)t
      [ 0, 0,            ifnot span=subspace then
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0    ;
          0, 0, 0, 0,
          0, 0, 0, 0, 0, localjava.lang.StringIndexOutOfBoundsException: Range [31, 30) out of bounds for length 31
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 "apolar space afield,afinite field  and a basis
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0java.lang.StringIndexOutOfBoundsException: Index 41 out of bounds for length 1
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, # where <basis> is the canonical basis of BaseField(geom1) over <f2>.
          0,#O  NaturalEmbeddingByFieldReduction( <geom1>, <f2>, <bool> )
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ,IsField ,
      , 0, 0,0,0, 0,0,0, ,0,0,0,0 ,0 0,0,0 0 , ,java.lang.StringIndexOutOfBoundsException: Index 77 out of bounds for length 77
            ,0 0 ,0 ,0 ,0 0 0 ,0,0,00  ,,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,# obtained by field reduction if such an embedding exists, otherwise it returns an error.
          0, 0, 0 #  Hermitian
          0, 0, 0, 0,
      [ 0, 0, 0, 0, 0, 0, 0, 0    gammabil1  n   ,iso,form2,fun,
          0, 0, 0, 0, 0, 0, 0   form1 : SesquilinearFormps1)
         ,0,0 0 ,0 ,0,, 0 ,0 1, 0, 0 ,0, 0, ,0 ,java.lang.StringIndexOutOfBoundsException: Index 76 out of bounds for length 76
           alpha:=()
          0   # need alpha to be fixed by sigma:
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0   =First, -notIsZerox and sigma=-)
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,            form2: HermitianFormFieldReductionform1,f2,alpha,asis;
          0,
          0, 0, 0, 0 else
          0, 0, 0, 0, 0,           (  f2alpha,basis )java.lang.StringIndexOutOfBoundsException: Index 69 out of bounds for length 69
   0,0,0 ,0 0 0, 0, 0,0 ,0 0 ,,0,0,0 ,0 ,0,0,0,
          # (-1)^(r-1)/2 times the determinant of the bilinear form, divided by two.
          ,0 0 ,0 ,0, 0 ,0 0, 0 0, 0, , , 0 0, ,0,0, 0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0 java.lang.StringIndexOutOfBoundsException: Range [8, 7) out of bounds for length 75
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   alpha=Firstf1  ->notIsZeroa andnot is_square(agamma,  ;
          1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0if[parabolic" hyperbolic" "elliptic"]then
          0,cps2inv: cps2^-1;
          0, 0, 0, 1, 0,.java.lang.StringIndexOutOfBoundsException: Range [30, 29) out of bounds for length 30
          0, ,0,0, 0, 0,0 0,0,0 0, ,0 ,
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, java.lang.StringIndexOutOfBoundsException: Index 59 out of bounds for length 24
          0, 0        flag= then
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,    #                                    x -> iso!.fun(map!.fun(x)), false,  x -> map!.prefun(iso!.prefun(x)) );
          0             : m)
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0,             : gens, java.lang.StringIndexOutOfBoundsException: Range [38, 37) out of bounds for length 39
          0, 0, 0, 0, 0, 0, 0, 0#####################################################################################
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0e(,,true);
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
, 0 0 ]
      [ 0, m2!.asefield;
          0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0,                 ConvertToVectorRep(xmat)java.lang.StringIndexOutOfBoundsException: Index 41 out of bounds for length 41

          0,             java.lang.StringIndexOutOfBoundsException: Range [17, 16) out of bounds for length 27
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,fi
          0, 0, 0, 0, 0, 0, 0, java.lang.StringIndexOutOfBoundsException: Index 8 out of bounds for length 8
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0#############################################################################
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0       and  4..java.lang.StringIndexOutOfBoundsException: Index 45 out of bounds for length 45
      [ 0, 0, 0, 0,
           , 0,0 ,0 0, 0, 0 0,0,0, 0, 0, 0, 0,0 ,0 0 ,0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  (java.lang.StringIndexOutOfBoundsException: Range [27, 23) out of bounds for length 49
          0, 0, 0, 0, 0, 0, 0, java.lang.StringIndexOutOfBoundsException: Index 5 out of bounds for length 5
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0  od
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   elt=1then
          0,   bgen : basis,;
      [ 0,     Error(isnot  the  of   )java.lang.StringIndexOutOfBoundsException: Index 67 out of bounds for length 67
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0func,false );java.lang.StringIndexOutOfBoundsException: Index 62 out of bounds for length 62
           ,0 0 0 ,0, 0, ,0 0, ,0 0, ,0 ,0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0                return;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0,         java.lang.StringIndexOutOfBoundsException: Range [32, 31) out of bounds for length 45
          0, 0, 0,   hom: GroupHomomorphismByFunction(g1 g2, twinerfunc,twinerprefun);
          0, 0, 0, 0, 0,,1 Nointertwiner computed.<geom1>must  a collineation group computed";
          0, 0, 0, 0, 0, 0##############################################################################O  NaturalEmbeddingBySubfield( <geom1>, <geom2> )
          0, 0, 0, 0, 0, 0, 0, 0java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
      [ 0, 0, 0, 0, 0, 0,# returns the morphism from the projective space to the quotient space of the
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0 java.lang.StringIndexOutOfBoundsException: Index 46 out of bounds for length 46
          0, 0, 0, 0, 0, 0, 0     =ps.vectorspace
          0,      ## This code was adapted from Thomas Breuer's
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  ifIsContainedInSpan ,)then
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
          ,0, 0 0, 0,0 0,0, ,0 0,0, 0,0, ,0 ,0 ,0 ,0
          0, 0, 0, 0, 0, 0, 0           ## Note: TriangulizeMat does not return a matrix of full
      [ 0, 1, 0, 0, 0, y = [;java.lang.StringIndexOutOfBoundsException: Index 15 out of bounds for length 15
          0, 0, 0, 0(s2;
          0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  returnmap;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0,canbaszero java.lang.StringIndexOutOfBoundsException: Range [32, 31) out of bounds for length 50
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,    ## if v has dimension j, then the new geometry
          0, 0, 0, 0, 0, 0, 0, 0, 0,mb:  , )
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,    : BasisNC( , Concatenation( Wvectors,   ;
           0 ,0, , 0 0 ,0,0 0,0  ]
      [0 0 ,0 0 , ,0 0 ,0 0 0 ,0 , ,0 ,0 ,0 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,    not IsEmpty()
          0, 0, 0, 0, 0, 0, 0, 0,              x;java.lang.StringIndexOutOfBoundsException: Index 32 out of bounds for length 32
          0, 0, 0, 0, 0 map: java.lang.StringIndexOutOfBoundsException: Range [66, 37) out of bounds for length 72
          0if v then
      [# CHECKED 28/09/11 jdb
0,0 ,0, 0 ,0 0 0,0 0, ,0 ,0 ,0 0, 0 ,0 0
          0, 0, 0, 0, 0, 0, 0, 0, 0,     if v in then
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,CloseMutableBasismb,gen
          0, 0    := CanonicalBasis(img)
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0       newform =QuadraticFormByMatrix(a*   (,f;
0 ,0,0 ,0,0, 0 ,0, 0 ,0 ]
      [ 0, 1, 0, 0, 0, 0localy
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,             ;
          0, 0, 0, 0, 0, 0, 0, 0, 0,               y.ype =1 then x;fijava.lang.StringIndexOutOfBoundsException: Index 47 out of bounds for length 47
      [ 0, 0, 0return;
          0, 0, 0, 0, 0##
          0java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
          0          ps2  ,a  ,f perp
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,Wvectors: b
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,        ;
0 0,0 ,0,0 ,0,0 0 ,0 ,0,0 0, ,0 ,0, 0, 0,java.lang.StringIndexOutOfBoundsException: Index 76 out of bounds for length 76
          0, 0, 0, 0, 0,m:=QuadraticForm(ps!m
          0, 0, 0          :=java.lang.StringIndexOutOfBoundsException: Range [42, 41) out of bounds for length 71
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0,,0 0,0, 0,0,0, 0, 0, 0 0 ,0 ,0,0 ,0,0 0,,java.lang.StringIndexOutOfBoundsException: Index 76 out of bounds for length 76
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ # changed 28/3/14 jdb
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   [i*[]-u[j]  [i]
0,,,0,0 ,0, ,0 0 ,0, 0 ,0, 0 ,0 0 , 0 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,#    [ IsSubspaceOfProjectiveSpace ],
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, #        pij := function(u,v,i,j)
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,# caution: the list l is not Triangulized!
         ,0 0,0,0,0,,0, ,0 0, ,0 ],
      [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0  Addl   [1, x] 3]])java.lang.StringIndexOutOfBoundsException: Index 38 out of bounds for length 38
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,fi
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0,[IsSubspaceOfProjectiveSpace,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0# returns the well known morphism from the lines of PG(3,f), f a finite field
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,# of PGO+(5,q) where each row is determined up to a factor. It turns out
          0, 0, 0, 0, 0,# the factors here (they seem not to be independant of the group element now).
          0, 0, 0, 0, 0, 0, 0, 0, 0
      [ 0, 0, 0 twinerprefuncoll1,gens1,coll2  hom ;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ## x1x6+x2x5+x3x4 = 0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
          0, 0, 0, 0, 0, 0, 0,end
          0, 0, ,0,0 0 0 ,0,,0,0 0]
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 localmat,newmat;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0,
          0, 0, 0, 0   lines: [];
0 ,0 ,0 ]
      [ 0, 1, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  =Listiptsx>[1])
          0 ,0,0 , ,0,0 0,0 ,0,0 0 ,0 0 ,0,0 ,0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0   return ProjElWithFrob(newmat,g!.frob,f);
          0, 0, 0, 0, 0, 0, hom : (  twinerfunc )java.lang.StringIndexOutOfBoundsException: Index 78 out of bounds for length 78
      [ 0, 0, 0, 0, 0, ndence( GF(q), true )
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 1
          0, 0, 0, 0,function,computeintertwiner
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0# returns the well known morphism from the lines of PG(3,q) to the points
      [ 0, 0, 0, 0, 0,    ]
          0, veDimension(uadric <5 then
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
            iin[.3]do
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  (,l
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0java.lang.StringIndexOutOfBoundsException: Index 53 out of bounds for length 25
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
          0,0 0 0,0 0 ,0 ,0 0 ,0 , ,0,0 ,0 0,0, 0,
           lines3 =[id3,id4],id3,[1]]java.lang.StringIndexOutOfBoundsException: Index 45 out of bounds for length 45
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0,   e : 1,,,1]one;
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  for14 do
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   coll2 : GroupWithGeneratorsgens2)java.lang.StringIndexOutOfBoundsException: Index 39 out of bounds for length 39
          0,#O  KleinCorrespondence( <quadric> )
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0java.lang.StringIndexOutOfBoundsException: Index 53 out of bounds for length 3
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, foraboolean,

          0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
,0 ,0 0,0 0, , 0, 0, 0, 0,0,0, 0, 0,0 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
       ,0 0 ,0, ,0 ,0, 0,,0 ,0, ,0, , 0 0, 0, 0, 0,0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
,0 0, , 0,0 , , , 0, , 0 , 0, , , 0, 0, ,0 ,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   elvecUnpack(el!obj)
  newvec : List(lvec,x-InversePluckerCoordinates x );
      [ 0, 0, 0, 0, 0, 0,   if(pace then
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   ;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 end
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0,    [IsPosInt,
          0, 0, 0, 0#############################################################################
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0,java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
  ,-]: one
          ,0,0 0, 0, 0 ,0 0,0, 0,0 0, 0, 0,0, 0,0,0 0,0,0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0 c2:=BaseChangeToCanonical(QuadraticForm(uadric);
          ,0,0,0, 0, 0, 0, 0, 0, ,0 0,0]
       ,0, ,0, 0,0 0, 0, 0, ,0 0, 0, 0,0 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  newvec: [PluckerCoordinates(elvec[1]) PluckerCoordinates(elvec,vec[]) PluckerCoordinates(elvec,vec[]);
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0,  newvec : InversePluckerCoordinates(elvec );
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   fi
          0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0##
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
      [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
function w  computeintertwiner, reverse )
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          05 , f;
      [ ,0, ,0 0, ,0 0, 0,0 0, ,0 0, ,0 0, 0, , 0,0, 0, ,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,java.lang.StringIndexOutOfBoundsException: Index 8 out of bounds for length 8
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0  IsCanonicalPolarSpacew)then
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0   plane : SumIntersectionMat(list,hyp[2];#hard coded Meet operation :-)
       ,0,0 ,0 , 0, , 0, , 0, 0, , 0,0, 0, , 0, , 0, 0, 0, ,
          0, 0, 0,                : elobj)*q4q;
          , 0, 0, 0, 0, 0, 0, 0, ,0 0, 0,0, 0, 0, 0, 0, 0,0, 0, 0 0,
          ,0 0,0 ,0 0, 0, 0,0,0 0, 0, ,0 0, 0,0 0,0 0, 0
          nc := function( el )
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0,        pre :=function el )
          0vec[6] : -ec[1]
          0, 0, 0, 0, 0, 0, 0
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, data: rec(func =pre,pre : func)
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0,1]],[,id2];
          0, 0, 0, 0, 0,    forin[1.2] do
          ,
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0  =cw^-
          0, 0, 0,   mat=cw *g!.mat)  cwinv^frob^-;
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          ,0, 0, ,0 0,0, 0, ,0 0, 0, , 0, ,0 0, ,0 0, 0, ,
          0, 0  iept=Listeptx-*mat)
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          ,0 0,0,0, 0, 0, 0,0 0,0, 0,0]
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0 ,0,0 ,0 ,0 ,0,0 ,0 0 ,0 ,0, ,0, ,0
          , 0, ,0 0,0,0, 0, 0 ,0,0,0]
      [  thento ascalar,pl isof the form (x,y,z,z^q,y^q,^q) We firstmake sure that
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, t pl*x might be over GF() moduloa GF(^2
# over GF(q).So we have to normalize first, then dochange
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
       0,0 ,0 0 0, 0, 0, ,0, 0, 0, ,0 ,0,0,0 ,0 , 0, 0,
          0,         ofQ-5q:takethetwospanningpoints >two linesof H-  ofthese lines is the point
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0,0 0, 0, 0, 0, , 0, 0, , 0, 0, 0,0 0, 0, ,0 0, 0, 0,
          ,0 0, 0, ,0 ,0 ,0 0,0,  ],
      [ 0, 0, 0, 0, 0,        -twinerprefun
            ,0 ,0 ,0 0, 0, 0, ,0 0, 0 0, 0,0, 0, ,0 ,
0,0 , 0, 0, 0, 0, 0, 0 ,0 0, 0,0,0, ,0 , 0,0, 0, 0,
0 ,0 0,0 ,0 , 0,0, ,0 0, 0, 0, , 0, 0,0 0,0 ,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0,
          ,0,0, , 0, 0, , 0, , 0, 0, ,0 0, 0 0, ,0 , 0, 0,0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
,0,0,0 ],
      [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0mat1 6,GFq)
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, form_quadric:=( (q;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,    if IsCanonicalPolarSpaceq5q)then
          0,0 0,0 0, , 0,0, 0, 0, 0, ,0]
      [ ,0 , 0,0,0 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,0 0,0
          0, 0, 0, 0, 0, 0,,-]:
          0, 0           ^-;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, bmat:=NullMat6,12GF(q);
          0, 0, 0, , , 0, 0, ,0 ,0 ,0],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,             pl mu  , plane bgen list;
0,0 0, , 0,  0, , 0,0 0, , 0, 0, 0, 0, 0,
          0, 0, 0,   mu := First(AsList(f),m- m^(q1 =pl[os]/pl[-pos])
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, list: [ PluckerCoordinates({[1,2]) PluckerCoordinates(vec[2,]}) PluckerCoordinates(ec{[,3]} ;
      [ ,0 0,0 ,0 , 0, ,0 0, , , 0,0,0, 0, , 0, 0, 0, ,0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,         pre:=function( el )
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0          Unpack(!obj*cq5q
           ,0,0,0 0 ,0 0,,0 0,,0 ,0,0 , ,0,0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0   vec: pl*java.lang.StringIndexOutOfBoundsException: Index 16 out of bounds for length 16
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, x>hrinkVec((q2,GF()x)java.lang.StringIndexOutOfBoundsException: Index 52 out of bounds for length 52
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0
          0
          0, 0, 0, 0, 0, 0, 0, java.lang.StringIndexOutOfBoundsException: Index 31 out of bounds for length 26
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,java.lang.StringIndexOutOfBoundsException: Index 67 out of bounds for length 28
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[0,0 ,0,0,0,0 0,,0,0, ,0,0 ,0 ,0,0,0 0 ,0,
          0, 0,
0 ,0 0, 0, , 0 , 0, 0, ,0 0, , 0, , 0, 0, 0,0, 0,0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   lines= ]java.lang.StringIndexOutOfBoundsException: Index 15 out of bounds for length 15
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   #"\n";
          0, 0, 0,   lines1]:=[id]id[],id[]id[]];
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  =Liste[],eid2],-java.lang.StringIndexOutOfBoundsException: Range [60, 59) out of bounds for length 64
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   newmat :=PluckerCoordinatesmat3],mat[]);
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,;
          0  ;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0java.lang.StringIndexOutOfBoundsException: Index 30 out of bounds for length 20
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
           0,0,0,0, 0, ,0 ,0,0,0 ,0,0 0,0, ,0 0, 0 ,
          0, 0,   java.lang.StringIndexOutOfBoundsException: Range [11, 10) out of bounds for length 63
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
  :[[3]id][[3,id1]]
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0          [] =java.lang.StringIndexOutOfBoundsException: Range [25, 24) out of bounds for length 34
          0, 0, 0, 0,  else
      [ 0, 0, 0, 0return
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
           0 ,0 0 ,0, ,0, 0 0, 0, ,0, 0, 0, ,0, 0, 0, 0 ,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0,java.lang.StringIndexOutOfBoundsException: Range [9, 8) out of bounds for length 68
          0, 0, 0, 0, 0Size<( java.lang.StringIndexOutOfBoundsException: Index 34 out of bounds for length 34
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, map=gq1 java.lang.StringIndexOutOfBoundsException: Range [102, 98) out of bounds for length 104
          0, 0, 0, 0, 0           java.lang.StringIndexOutOfBoundsException: Range [30, 29) out of bounds for length 39
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
       =GroupHomomorphismByFunction, datajava.lang.StringIndexOutOfBoundsException: Range [69, 67) out of bounds for length 88
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, fi
          1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, ##########################################java.lang.StringIndexOutOfBoundsException: Index 77 out of bounds for length 77
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0end;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0I java.lang.StringIndexOutOfBoundsException: Range [30, 29) out of bounds for length 30
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0          java.lang.StringIndexOutOfBoundsException: Range [32, 31) out of bounds for length 69
0 0,0,0 ,0 0 ,0,0 ,0 ,0, 0,0,
          0, 0, 0, 0, 0, 0 fi
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0  java.lang.StringIndexOutOfBoundsException: Range [24, 23) out of bounds for length 34
          0, 0, 0, 0, 0, 0, 0, 0#Q(2q >W2-q) ( ).
          0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ], java.lang.StringIndexOutOfBoundsException: Range [17, 12) out of bounds for length 79
      [ 0, 0, 0, 0, 0, 0 points (,0,.) 01..), . (,,.0)
,,,0 ,0 0,0 ,0, 0, 0,0 ,0, 0, 0,0 ,0 ,0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, under and
0 0 0, 0,0 0 ,0 ,0 ,0 0 ,0 ,0 0,0 ,0 ,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, = BaseField;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 can_form: quadric
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 fi
          0, 0,  pre=function(el)
           :=Unpack!.  java.lang.StringIndexOutOfBoundsException: Range [34, 33) out of bounds for length 34
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0,  : cquadric*Unpackelmat*(rob1)
         ,0,0,,0, 0,0 ,0 0,0,0 ,0 0, 0, 0,,0 0, 0,0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, java.lang.StringIndexOutOfBoundsException: Range [9, 8) out of bounds for length 27
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   od;
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,         if (q2and IsEvenInt(n-)2)then
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, newvec =(ec*newmat^ remind  partisin[2.]
          0, 0, 0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  java.lang.StringIndexOutOfBoundsException: Range [26, 25) out of bounds for length 39
          0, 0, 0, ,java.lang.StringIndexOutOfBoundsException: Range [28, 27) out of bounds for length 30
   ,,0 ,0 0, 0, ,0 ,0,0 0 0, 0, 0, 0 , 0, 0,0,0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, java.lang.StringIndexOutOfBoundsException: Index 85 out of bounds for length 85
          0, #by perm5atthe(,q and W3q java.lang.StringIndexOutOfBoundsException: Range [69, 68) out of bounds for length 69
0,0 ,0,0, 0, 0,0,0 ,0 0,0 0,, 0,0 ,0,0 ,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,                  .PGO(q)- 4q byinverse ( ofNaturalDualitySymplectic)
          0, 0, 0, 0, 0, 0, 0, 0           java.lang.StringIndexOutOfBoundsException: Range [37, 36) out of bounds for length 37
      func,,formw     ones java.lang.StringIndexOutOfBoundsException: Index 65 out of bounds for length 65
          0, 0, 0, 0, 0, 0, 0, 0, 0,delta: PolarityOfProjectiveSpacew;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0mat=5f);
          0, 0, 0 uad_form :=gramf;
          0, 0, 0, 0, 0, 0, fi
       ,0 ,0, 0, ,0, 0, 0, 0,0 0 ,0 ,0,0, 0, 0,0 ,0, 0,
          0,vec : [Unpackel  cwinv{1.5]} nucleus]java.lang.StringIndexOutOfBoundsException: Index 83 out of bounds for length 83
          0, 0, 0, 0, 0, 0,            plane:=el^;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[,0 ,0 ,0 ,0 ,0,0 , 0 ,0 ,0, 0,0 0 ,0,0
          0, 0, 0, 0, 0, 0, 0, 0, 0,        newmat] := -luckerCoordinates[mat[]mat[])[.5}
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0        newmat: newmat{[2..5]}{[2..5]};
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[, 0 ,0 ,0 ,0 ,0 , ,0 ,0 0,0 0 ,0 ,0 ,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0,  od
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0            newvec: (ec*newmat)frob remind thatthe symplectic part isin 2.]
          0 ,0,0, 0, ,0 0 ,0 ,0  ,
      [ 0, 0, 0, 0, 0, 0, 0, 0      newmat,]: java.lang.StringIndexOutOfBoundsException: Range [31, 30) out of bounds for length 31
0 ,0, 0,0, 0 0,0 0, , 0, 0, ,0 0,0 0,0 ,0 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,        pts:=Listlx>istx-PluckerCoordinatesy)[.5]);
          , 0 ,0 0 ,0,0 ,0 0,, 0,, ,,0, 0,0 , , 0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],        ipts: Listilines -
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0,iept=Listept-xmat);
          ,0, ,0 ,0 ,0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
          0,  map  ;
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,withjava.lang.StringIndexOutOfBoundsException: Range [85, 84) out of bounds for length 85
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, ####################java.lang.NullPointerException
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
00,0,0 ,0,0,0,0, 0 ,0,0, 0,0, 0, 0,0, ,0 ,0
          hyp6f{1..]} this in[,,,00,].java.lang.StringIndexOutOfBoundsException: Index 108 out of bounds for length 108
          0,    : ",f)f)
      [ 0, 0, 0,     formq := QuadraticFormqq;
0 ,0 ,0 ,0 ,0,0,0,0,0, 0,0 ,0 ,0, 0, 0,0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,];
          0, 0, el.ype = 2 then
      0 0 0,,0 0 ,0 0 ,0 0 ,0 ,0 ,0 ,0 0 ,0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0 java.lang.StringIndexOutOfBoundsException: Range [40, 39) out of bounds for length 55
          0, 0,iftype  #dealing witha point
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,   ProjElWithFrob(qinv*newmat *cq(frob^-)frob,f;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          ,0,0 0,0, 0, 0, 0, 0, 0, 0,0,0 ]
      [ 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,  ilines: List(ipts,-List(,y-InversePluckerCoordinatesy);
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, newmat2.]{2.] =mat;
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 vec =0one
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
         0 ,0,0 , 0, 0, 0, ,0 ,0 0, 0 ,0 0,,0 , 0, ,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0,if(q4q andjava.lang.StringIndexOutOfBoundsException: Range [74, 69) out of bounds for length 80
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0  #seIsomorphismRelation(coll1,coll2);
          0,0,0, 0, 0, 0, 0,0 0,0,0, 0,0, 0, 0,0, ,0 0, 0, 0 ,java.lang.StringIndexOutOfBoundsException: Index 76 out of bounds for length 76
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          ,0 0, ,0 0, , 0, 0,0, 0, ,0 , 0,0,0,0, 0, 0, 0 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, InstallMethodSelfDuality,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,        return(gq,true)
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
      [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
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--> --------------------

--> maximum size reached

--> --------------------

Messung
C	H	Z	G
85	98	100	94

¤ Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.3.875Bemerkung: (vorverarbeitet am 2026-11-04) ¤

*Bot Zugriff

Wurzel

Suchen

PVS Prover

Isabelle Prover

Cephes Mathematical Library

Vienna Development Method

Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.