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2015-01-15 07:42:14 +0100 asked a question what does ratpoly.<t> = PolynomialRing(QQ) mean

In official tutorial, I see the following command:

ratpoly.<t> = PolynomialRing(QQ)

I have python backgroud. I wonder what does it do and how it is implemented. After all, variable ratpoly is not defined previously.

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2015-01-14 06:27:28 +0100 commented answer why don't sage return exact value in some functions

so is it possible to get a (z-sqrt(2))*(z+sqrt(2))?

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2015-01-14 04:31:08 +0100 asked a question why don't sage return exact value in some functions

Look at the following code:

realpoly.<z> = PolynomialRing(RR)
factor(z^2-2)

it returns:

(z - 1.41421356237310) * (z + 1.41421356237310)

why don't sage return

(z-sqrt(2))*(z+sqrt(2))

and how can i make it to do that?