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Quelle  Maple.tst   Sprache: unbekannt

 
#@exec LoadPackage( "RingsForHomalg", false );
#@exec LoadPackage( "IO_ForHomalg", false );

gap> LoadPackage( "RingsForHomalg", false );
true
gap> LoadPackage( "IO_ForHomalg", false );
true
gap> HOMALG_IO.show_banners := false;;

#@if IsBound( TryLaunchCAS_IO_ForHomalg( HOMALG_IO_Maple ).stdout )
gap> HOMALG_RINGS.RingOfIntegersDefaultCAS := "Maple";;
gap> HOMALG_RINGS.FieldOfRationalsDefaultCAS := "Maple";;
gap> ReadPackage( "GradedModules", "examples/HilbertPolynomial.g" );
true
gap> ReadPackage( "GradedModules", "examples/Purity.g" );
true
gap> ReadPackage( "GradedModules", "examples/FilteredByPurity.g" );
     [ 0      0       x     -y        0        -1     0       0        0 ]
     [                                                                   ]
     [x y    -y z    z t     0        0         0     0       0        0 ]
     [                                                                   ]
     [ 2                                                                 ]
     [x      -x z     0     z t       0         0     1       0        0 ]
     [                                                                   ]
     [ 0      0       0      0        0        z t    -y      0        0 ]
     [                                                                   ]
     [ 0      0       0      0       t y        x     0       1        0 ]
     [                                                                   ]
     [                               2    2                              ]
     [ 0      0       0      0     -t  + x      y     0       0        0 ]
     [                                                                   ]
     [                                  2                               3]
     [ 0      0       0      0       z t        0     x       0       -t ]
     [                                                                   ]
     [ 0      0       0      0        0         0     0       z        0 ]
     [                                                                   ]
     [ 0      0       0      0        0         0     0     -t + y     0 ]
     [                                                                   ]
     [ 0      0       0      0        0         0     0       0        z ]
     [                                                                   ]
     [ 0      0       0      0        0         0     0       0        y ]
     [                                                                   ]
     [ 0      0       0      0        0         0     0       0        x ]



Cokernel of the map

R^(1x12) --> R^(1x9), ( for R := Q[x,y,z,t] )

currently represented by the above matrix

(graded, degrees of generators: [ 0, 0, 0, 0, 0, 1, 2, 2, 0 ])
true
gap> ReadPackage( "GradedModules", "examples/P1.g" );
total:   7  6  5  4  3  2  1  1  2  3  4  ?
---------|--|--|--|--|--|--|--|--|--|--|--|
    1:   7  6  5  4  3  2  1  .  .  .  .  0
    0:   *  .  .  .  .  .  .  .  1  2  3  4
---------|--|--|--|--|--|--|--|--S--|--|--|
twist:  -6 -5 -4 -3 -2 -1  0  1  2  3  4  5
-------------------------------------------
Euler:  -7 -6 -5 -4 -3 -2 -1  0  1  2  3  4
true
gap> ReadPackage( "GradedModules", "examples/Schenck-3.2.g" );
 total:  1 2 1
--------------
     0:  1 1 .
     1:  . . .
     2:  . 1 1
--------------
degree:  0 1 2

 total:  1 3 2
--------------
     0:  1 . .
     1:  . 3 2
--------------
degree:  0 1 2
true
gap> ReadPackage( "GradedModules", "examples/Schenck-8.3.g" );
 total:  1 5 6 2
----------------
     0:  1 . . .
     1:  . 4 4 1
     2:  . . . .
     3:  . 1 2 1
----------------
degree:  0 1 2 3
true
gap> ReadPackage( "GradedModules", "examples/Schenck-8.3.3.g" );
 total:  1 5 6 2
----------------
     0:  1 . . .
     1:  . . . .
     2:  . 5 6 2
----------------
degree:  0 1 2 3
true
gap> ReadPackage( "GradedModules", "examples/NonCohenMacaulayMonomialIdeal.g" );
true
gap> ReadPackage( "GradedModules", "examples/VectorBundleOnP1_Example5.1.g" );
true
gap> HOMALG_RINGS.RingOfIntegersDefaultCAS := "Singular";;
gap> HOMALG_RINGS.FieldOfRationalsDefaultCAS := "Singular";;
#@fi

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