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| Complex Ring with multiple parameters and roots of unity https://www.singular.uni-kl.de/forum/viewtopic.php?f=10&t=1847 |
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| Author: | cuhlone [ Thu Aug 12, 2010 8:52 pm ] |
| Post subject: | Complex Ring with multiple parameters and roots of unity |
I apologize in advance if the answer to this question is obvious. It's entirely possible that I can't see the forest through the trees. I'm making a complex ring. ring r = (complex,30,i),(x,y,z),dp; And I would like to work with the nth root of unity. For the sake of simplicity, let's look at the 5th root of unity. What I want to do is add another parameter Q to the ring declaration and then minpoly = rootofUnity(5); or something like that. But I can't figure out how to add another parameter to the complex ring. Likely, the right way to do this is something completely different, but I'm spinning my wheels and not getting anywhere. Thanks in advance for any assistance you can provide. C. |
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| Author: | gorzel [ Thu Aug 12, 2010 9:48 pm ] |
| Post subject: | Re: Complex Ring with multiple parameters and roots of unity |
If the basering is complex or real you can not define another parameter and set minpoly. What you can do, is to add a fourth variable, say a and add the defining equation of the 5th root of unity as polynomial in a as another generator to the ideals which you declare for your computations. Then the std-computations will reduce modulo this "minpoly" and the results can be interpreted accordingly. |
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