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#@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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