fieker-DuValspielwiese
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Last change
on this file since 3fec5d0 was
3a823d,
checked in by Hans Schoenemann <hannes@…>, 9 years ago
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fixes by pfister: tr #634, tr #682
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-
Property mode set to
100644
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File size:
669 bytes
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| 1 | LIB "tst.lib"; |
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| 2 | tst_init(); |
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| 3 | |
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| 4 | // raducal in alga.extensions |
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| 5 | LIB "primdec.lib"; |
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| 6 | ring R=(0,a),(x,y,z),dp; |
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| 7 | minpoly=a2+a+1; |
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| 8 | |
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| 9 | poly L=x; |
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| 10 | poly u1=1; |
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| 11 | poly u2=1; |
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| 12 | poly v1=y; |
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| 13 | poly v2=z; |
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| 14 | poly g1a=(a+2)/(-3)*(u1*v1*a-u2*v2); |
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| 15 | poly g2a=(a+2)/(-3)*(u1*v1-u2*v2); |
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| 16 | poly g1=L*g1a; |
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| 17 | poly g2=L*g2a; |
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| 18 | poly v3=g1a+(a+1)*g2a; |
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| 19 | poly f1=(u1*u2*L^3+v1*v2*v3)/2; |
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| 20 | poly f2=(-u1*u2*L^3+v1*v2*v3)/2; |
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| 21 | |
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| 22 | poly F=g1^3-f1^2; |
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| 23 | ideal I=jacob(F); |
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| 24 | I=std(I); |
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| 25 | hilb(I); |
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| 26 | |
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| 27 | ideal I1=radical(I,"KL"); |
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| 28 | I1=std(I1); |
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| 29 | hilb(I1); |
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| 30 | |
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| 31 | ideal I2=radical(I); |
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| 32 | I2=std(I2); |
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| 33 | hilb(I2); |
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| 34 | |
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| 35 | ideal I3=radicalEHV(I); |
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| 36 | I3=std(I3); |
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| 37 | hilb(I3); |
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| 38 | |
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| 39 | // the Hilbert functions of the radicals must coincide: |
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| 40 | hilb(I1,1); |
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| 41 | hilb(I2,1); |
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| 42 | hilb(I3,1); |
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| 43 | |
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| 44 | tst_status(1);$ |
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