Changes between Version 19 and Version 24 of Ticket #15703


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Timestamp:
03/17/15 23:14:34 (6 years ago)
Author:
jipilab
Comment:

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  • Ticket #15703

    • Property Branch changed from u/vripoll/refactor_coxeter_groups_as_matrix_groups_and_non_crystallographic_root_systems to u/jipilab/refactor_coxeter_groups_as_matrix_groups_and_non_crystallographic_root_systems
    • Property Milestone changed from sage-6.2 to sage-6.4
    • Property Commit changed from 2846f67039fe6baf568fe3ffebdb675fba9ba091 to 09a1ff9ae3fe50ab4b1d4c31f0afe682ed5173e1
  • Ticket #15703 – Description

    v19 v24  
    22
    33 * Experiment with the infrastructure scales and benchmark
    4 
    5    Here is a goal picture (benchmark.png) given by the Coxeter matrix [[1,oo,2,5],[oo,1,6,2],[2,6,1,-1.1],[5,2,-1.1,1]]. It represents the limit roots of the elements of infinite order of length 3 and 4, and their orbits under the actions of elements of length smaller or equal to 5. There are 12212 drawn limits. (Not showing 66 limit roots that created approximation errors coming from a "to be looked at" usage of solve in my code). With a homemade implementation, it took 42 seconds to do the computations of everything from scratch and also the computation of the tetrahedron and the light cone.
    6 
    7    The picture named benchmark2.png shows an image produced with sage with hacks and tweaks. It took around 10 minutes to compute. There are 2347 roots shown. (There was a problem in the production of the roots located at (0,0,0)) These roots is formed as the union of the inversion sets of the elements of length at most 8 obtained via the weak order poset.
    84
    95 * CoxegerGraph, see #16126