fieker-DuValspielwiese
Last change
on this file since 010b3f was
8d7503,
checked in by Jens Schmidt <schmidt@…>, 26 years ago
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Initial revision
git-svn-id: file:///usr/local/Singular/svn/trunk@2394 2c84dea3-7e68-4137-9b89-c4e89433aadc
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-
Property mode set to
100644
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File size:
800 bytes
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Rev | Line | |
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[8d7503] | 1 | // define a new ring |
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| 2 | option(prot); |
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| 3 | ring r1 = 32003,(x,y,z),ds; |
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| 4 | r1; |
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| 5 | |
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| 6 | // define the polynomial |
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| 7 | int a,b,c,t=11,5,3,0; |
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| 8 | poly f = x^a+y^b+z^(3*c)+x^(c+2)*y^(c-1)+x^(c-1)*y^(c-1)*z3+ |
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| 9 | x^(c-2)*y^c*(y^2+t*x)^2; |
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| 10 | f; |
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| 11 | |
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| 12 | // calculate its Jacobi ideal ... |
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| 13 | ideal i=jacob(f); |
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| 14 | i; |
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| 15 | |
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| 16 | // ... and the standard basis of the Jacobi ideal |
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| 17 | ideal j=std(i); |
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| 18 | |
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| 19 | // calculate the Milnor number ... |
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| 20 | "The Milnor number of f(11,5,3) for t=0 is", vdim(j); |
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| 21 | |
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| 22 | // ... and the Tjurina number |
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| 23 | j=i+f; |
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| 24 | j=std(j); |
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| 25 | "The Tjurina number of f(11,5,3) for t=0 is", vdim(j); |
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| 26 | |
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| 27 | // repeat everything for t=1 |
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| 28 | t=1; |
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| 29 | f=x^a+y^b+z^(3*c)+x^(c+2)*y^(c-1)+x^(c-1)*y^(c-1)*z3 |
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| 30 | +x^(c-2)*y^c*(y^2+t*x)^2; |
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| 31 | ideal i1=jacob(f); |
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| 32 | ideal j1=std(i1); |
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| 33 | "The Milnor number of f(11,5,3) for t=1 is", vdim(j1); |
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| 34 | "The Tjurina number of f(11,5,3) for t=1 is", vdim(std(j1+f)); |
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