Does anyone know a database for nth roots of unity

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Discussion Overview

The discussion revolves around the need for a database or resource for finding nth roots of unity, particularly for large numbers such as 42. Participants explore various methods and tools that could assist in this task, including computational software and mathematical formulas.

Discussion Character

  • Homework-related, Technical explanation

Main Points Raised

  • One participant expresses the need for a database of roots of unity to avoid manual calculations and potential errors.
  • Another participant suggests that a computer algebra system might be the best solution, specifically mentioning Wolfram Alpha.
  • A third participant proposes using software like Octave or Sage Math to compute the roots.
  • A later reply reiterates the initial request for a database and mentions that using Euler's formula could simplify the process, implying that a sine and cosine table would be beneficial.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the existence of a database, with some suggesting alternatives instead. Multiple approaches are proposed without clear agreement on a single solution.

Contextual Notes

There is no mention of specific limitations or assumptions regarding the methods suggested, nor is there a detailed exploration of the computational tools mentioned.

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I am typing up a latex document and I need to find roots of unity, lots of them, for numbers like say 42. I was just wondering if anyone knew of a database that had this stuff on hand rather than having to do it all by hand and worrying about having made some stupid algebra error.
 
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I'm not aware of any tables or databases. I think your best bet would be a computer algebra system. Maybe try wolfram alpha?
 
You could use octave or sage math to compute them.

J.
 
dumbQuestion said:
I am typing up a latex document and I need to find roots of unity, lots of them, for numbers like say 42. I was just wondering if anyone knew of a database that had this stuff on hand rather than having to do it all by hand and worrying about having made some stupid algebra error.

Using Euler's formula, all you need is a good sine, cosine table.
 

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