2021-04-13 22:19:08 +0200 | received badge | ● Nice Answer (source) |

2021-04-12 23:18:09 +0200 | commented answer | Power Series Ring over p-adics: TypeError: unhashable Implementing _cache_key does not help here unfortunately. polynomial_ring_constructor.py uses an (old?) cache that does |

2021-04-12 23:07:02 +0200 | answered a question | Power Series Ring over p-adics: TypeError: unhashable In this case there is a specialized type for this p-adic base field which is called a "relative extension" in SageMath, |

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2021-03-03 23:17:41 +0200 | answered a question | Extension field over p-adics: how to write an element in the standard basis? It seems you are looking for the terse printing mode: sage: K = Qp(2, print_mode='terse') sage: R.<x> = K[] sage: |

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2021-01-22 00:14:55 +0200 | answered a question | How can I compute a fixed field over the p-adics SageMath does not yet support general extensions of p-adics yet unfortunately, it's something that we're actively working on, e.g., at https://trac.sagemath.org/ticket/28466. If you want to get involved a bit, please join us at https://sagemath.zulipchat.com/#narro.... There's a package that builds on SageMath to provide some Henselizations here that might work for such problems since it can compute in towers of fields and provides valuations. I am not sure how well that package currently works, but please let us know in the above zulip chat if you find it useful or have suggestions. Anyway, the following works on this binder with this package installed… So, the answer is $\sqrt{3}$ since $\varphi(\sqrt{3}) - \sqrt{3}$ has "infinite" valuation but $\varphi(\sqrt{-3}) - \sqrt{-3}$ has valuation 1/2 or so. However, this depends on the choice of $\sqrt{\frac{-2}{7}}$. Choosing the other root, gives $\sqrt{-3}$. |

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2019-11-07 18:37:57 +0200 | answered a question | possible bug in: _cmp_ function Ordering of p-adics is not terribly meaningful of course but it should at least be consistent. So I think this is a bug. If I understood things correctly, the code that eventually runs is: The problem here is that I created https://trac.sagemath.org/ticket/2870... to track this issue. |

2018-10-27 18:48:10 +0200 | received badge | ● Nice Answer (source) |

2018-10-27 02:44:46 +0200 | answered a question | i want to find factorization ideal (3) in integral closure of Z_3 in Q_3(sqrt(2),sqrt(3)) It's a bit unclear what you want to achieve in general. But for the first part of your question, since https://trac.sagemath.org/ticket/23218 we have more general extensions of p-adic rings. So with Sage 8.4 you can do In general you can create a ramified extension of an unramified extension, so if you can transform your field into this form, you can create the corresponding ring. I am not sure what you are trying to achieve in general, as of course, once you have it in this form, the question how the prime factors is trivial. Explicitly, you can then also do: Number fields probably provide the most convenient path to currently answer this question, if you're only looking at small examples where performance does not matter: If you don't mind the language of valuations, you could try with the following which might avoid some expensive calls: Finally, there is also the henselization package which allows you to work with Henselizations instead of $Q_p$ which you can also use to compute such factorizations: |

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2018-10-24 12:25:33 +0200 | answered a question | Cannot get threejs rendering to work on MacOS ## Three.js in conda-forgeThe ## No browser is launchedI don't know why you don't get any visible output with To debug what's going on, you could try to run something like You should then see the command that sage is trying to run. ## Python3 errorsYou should probably open a ticket at trac.sagemath.org about this (after checking that no such ticket exists yet.) Python3 support in Sage is very experimental. |

2014-01-30 13:39:59 +0200 | commented question | Sage course in Colombia What do you mean by "teach a course"? Just for one or a few days or do you think of a course which spans a semester? Do you have any specific dates in mind? |

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