#10558: ModularSymbols got much slower since sage 4.3
-----------------------------+----------------------------------------------
   Reporter:  mderickx       |       Owner:  craigcitro
       Type:  defect         |      Status:  new       
   Priority:  major          |   Milestone:  sage-4.6.2
  Component:  modular forms  |    Keywords:            
     Author:                 |    Upstream:  N/A       
   Reviewer:                 |      Merged:            
Work_issues:                 |  
-----------------------------+----------------------------------------------
 These tests were both performed in about the same moment on sage.math

 {{{
 ----------------------------------------------------------------------
 | Sage Version 4.3, Release Date: 2009-12-24                         |
 | Type notebook() for the GUI, and license() for information.        |
 ----------------------------------------------------------------------
 sage: time ModularSymbols(Gamma1(47),sign=1)
 CPU times: user 0.81 s, sys: 0.14 s, total: 0.95 s
 Wall time: 0.95 s
 Modular Symbols space of dimension 115 for Gamma_1(47) of weight 2 with
 sign 1 and over Rational Field
 sage: time ModularSymbols(Gamma1(97),sign=1)
 CPU times: user 8.59 s, sys: 3.32 s, total: 11.91 s
 Wall time: 11.91 s
 Modular Symbols space of dimension 440 for Gamma_1(97) of weight 2 with
 sign 1 and over Rational Field
 sage: time ModularSymbols(Gamma1(next_prime(150)),sign=1)
 CPU times: user 46.75 s, sys: 19.66 s, total: 66.41 s
 Wall time: 66.41 s
 Modular Symbols space of dimension 1025 for Gamma_1(151) of weight 2 with
 sign 1 and over Rational Field
 sage:
 }}}
 {{{
 ----------------------------------------------------------------------
 | Sage Version 4.6, Release Date: 2010-10-30                         |
 | Type notebook() for the GUI, and license() for information.        |
 ----------------------------------------------------------------------
 sage: time ModularSymbols(Gamma1(47),sign=1)
 CPU times: user 2.57 s, sys: 0.00 s, total: 2.57 s
 Wall time: 2.61 s
 Modular Symbols space of dimension 115 for Gamma_1(47) of weight 2 with
 sign 1 and over Rational Field
 sage: time ModularSymbols(Gamma1(97),sign=1)
 CPU times: user 39.48 s, sys: 0.02 s, total: 39.50 s
 Wall time: 39.50 s
 Modular Symbols space of dimension 440 for Gamma_1(97) of weight 2 with
 sign 1 and over Rational Field
 sage: time ModularSymbols(Gamma1(next_prime(150)),sign=1)
 CPU times: user 228.80 s, sys: 0.09 s, total: 228.89 s
 Wall time: 228.89 s
 Modular Symbols space of dimension 1025 for Gamma_1(151) of weight 2 with
 sign 1 and over Rational Field
 sage:
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10558>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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