ASKSAGE: Sage Q&A Forum - Individual question feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Sun, 16 Feb 2014 19:11:50 -0600question about hilbert_class_polynomialhttps://ask.sagemath.org/question/11041/question-about-hilbert_class_polynomial/I run sagecell hilbert_class_polynomial sqrt(-5),but different with below:
http://echidna.maths.usyd.edu.au/kohel/dbs/class_polynomials/hilbert_class_poly.html
http://sagenb.skku.edu/home/pub/155/
Sat, 15 Feb 2014 20:42:59 -0600https://ask.sagemath.org/question/11041/question-about-hilbert_class_polynomial/Answer by Jeroen Demeyer for <p>I run sagecell hilbert_class_polynomial sqrt(-5),but different with below:</p>
<p><a href="http://echidna.maths.usyd.edu.au/kohel/dbs/class_polynomials/hilbert_class_poly.html">http://echidna.maths.usyd.edu.au/kohe...</a></p>
<p><a href="http://sagenb.skku.edu/home/pub/155/">http://sagenb.skku.edu/home/pub/155/</a></p>
https://ask.sagemath.org/question/11041/question-about-hilbert_class_polynomial/?answer=16046#post-id-16046What matters is not the polynomial, but the field extension defined by the polynomial. So probably both answers are correct, in the sense that they both define the same field.Sat, 15 Feb 2014 21:33:12 -0600https://ask.sagemath.org/question/11041/question-about-hilbert_class_polynomial/?answer=16046#post-id-16046Comment by cjsh for <p>What matters is not the polynomial, but the field extension defined by the polynomial. So probably both answers are correct, in the sense that they both define the same field.</p>
https://ask.sagemath.org/question/11041/question-about-hilbert_class_polynomial/?comment=16051#post-id-16051 thank you very much!
I try some Imaginary/real quadratic fields,all classnumber=1.
sage cannot run hilbert_class_polynomial of Imaginary Cubic fields,but that website can run
Sun, 16 Feb 2014 19:11:50 -0600https://ask.sagemath.org/question/11041/question-about-hilbert_class_polynomial/?comment=16051#post-id-16051