MuPAD - PrimDec
Plot the variety given by the ideal
| Step | 1: | Calculate a primary decomposition of I using Singular. |
>> primDec:=sing::primdecGTZ(I)):>> primeComps:=map(primDec, op, 2); |
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[[x^2-y^2*z^2+z^3],[x^4,z],[y,x^2-z^2-z^3]] |
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| Step | 2: | For each prime component, calculate the normalization of the radical, i. e. a parametrization using Singular. |
>> paramComps:=map(primeComps, sing::parametrize) |
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[[s^2*t-t^3,s,s^2-t^2],
[0,s,0], [s^3-s,0,s^2-1]] |
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| Step | 3: | Plot the parametrizations using MuPAD. |
>> plot3d([Mode=Surface,paramComps[1],s=[-2..2],t=[-2..2]]); |