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2013-06-27 13:27:46 +0100 | commented answer | Computing maximal orders in relative extensions Thanks both of your replies. One example of the Qa12 I ended up with is: Number Field in a with defining polynomial x^20 - 50*x^18 + 1015*x^16 - 11000*x^14 + 70255*x^12 - 134825*x^10 - 1299365*x^8 + 9691600*x^6 - 25842350*x^4 + 28129275*x^2 + 147598569 I just checked, and it seems that polred doesn't reduce that polynomial any further. If I remember correctly, the MAGMA code would take about 15-30 seconds, so it might well be that the problem was the different starting order. I'll try to see if Marco's workaround also hangs for me, or if something similar works in PARI. I'll let you know if I find anything out on the problem! |

2012-08-27 14:22:35 +0100 | asked a question | Plotting hyperelliptic curves (and the group law) I am trying to create plots of hyperelliptic curves (over the rationals) using SAGE. Moreover, I want to plot the integral points on these curves (within a certain range, obviously) and illustrate the group law on the Jacobian. In other words, I want to create an image similar to the one used here: Hyperelliptic curve plot. Plotting the curve itself is not hard. One may use, say, the following code: I am mainly interested in how to plot integral points on said curve and how to illustrate "addition" of these points (in the sense of addition of the corresponding elements on the Jacobian). Do you know how to do this? Any help would be greatly appreciated. |

2012-08-14 09:58:15 +0100 | asked a question | pariError when computing discriminant Consider the following piece of code: This returns " Namely, that it returns Moreover, and perhaps more interestingly, when one tries to run the command
even though we are not computing the discriminant of a number field in the second piece of code. However, why is a pariError returned when trying to compute the discriminant of |

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2012-08-04 11:33:43 +0100 | asked a question | Computing maximal orders in relative extensions As part of a project, I am translating some MAGMA code to SAGE. The relevant piece of code computes the maximal order of the relative extension of Here Note that The obvious alternative of simply writing is also extremely time-intensive; I have not yet seen this finish. I was hoping someone could help either with improving my code, or with a radically different approach to the problem. NOTE: Though I have tried to make this question understandable, if some parts remain opaque, please do say so. I'll do my best to correct it. |

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