[sage-support] Re: trouble with modular forms in SAGE
Thank you, again. I'll use SAGE on sage.org. With my best compliments for your extraordinarly good job with SAGE; best regards, Beppe - Messaggio Originale - Da: William Stein Data: Venerdi', Febbraio 6, 2009 8:32 pm Oggetto: [sage-support] Re: trouble with modular forms in SAGE A: sage-support@googlegroups.com > > On Fri, Feb 6, 2009 at 9:37 AM, giuseppe.molteni1 > wrote: > > > > Dear William, > > I thank you for your very prompt replay! > > Actually ther is a missprint in my post: the my group > > is Gamma0(15), not Gamma0(11), so the first line of > > my code was > > > > SAGE: chi=DirichletGroup(15,QQ).1 > > > > so that the dimension of the eigenforms space is 4. > > I have just tried the code on the public notebook server > > without any crash: as you suggest me the origin of my > > problem is evidently in my binary (I'm using windows > > with VMware Player). In next days I will download a > > different version. > > Thank you again, > > Beppe > > Unfortunately, there is no different version to download. > > We're currently working on making it so the sage vmware player will > work even on older computers that don't have sse3 > instructions. I hope > this happens soon. In the meantime, please feel free to > use sagenb.org > as much as you want. > > William > > > > --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: trouble with modular forms in SAGE
On Fri, Feb 6, 2009 at 9:37 AM, giuseppe.molteni1 wrote: > > Dear William, > I thank you for your very prompt replay! > Actually ther is a missprint in my post: the my group > is Gamma0(15), not Gamma0(11), so the first line of > my code was > > SAGE: chi=DirichletGroup(15,QQ).1 > > so that the dimension of the eigenforms space is 4. > I have just tried the code on the public notebook server > without any crash: as you suggest me the origin of my > problem is evidently in my binary (I'm using windows > with VMware Player). In next days I will download a > different version. > Thank you again, > Beppe Unfortunately, there is no different version to download. We're currently working on making it so the sage vmware player will work even on older computers that don't have sse3 instructions. I hope this happens soon. In the meantime, please feel free to use sagenb.org as much as you want. William --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: trouble with modular forms in SAGE
Dear William, I thank you for your very prompt replay! Actually ther is a missprint in my post: the my group is Gamma0(15), not Gamma0(11), so the first line of my code was SAGE: chi=DirichletGroup(15,QQ).1 so that the dimension of the eigenforms space is 4. I have just tried the code on the public notebook server without any crash: as you suggest me the origin of my problem is evidently in my binary (I'm using windows with VMware Player). In next days I will download a different version. Thank you again, Beppe William Stein ha scritto: > On Fri, Feb 6, 2009 at 8:58 AM, beppe wrote: > >> Hello, >> I'm novice in SAGE but I have a strange problem: >> I have to compute some eigenvalues for the set of cuspidal newforms >> for the group Gamma0(15), weight 4 and Legendre character chi of >> conductor 5, so I type in SAGE the following set of instruction: >> >> SAGE: chi=DirichletGroup(11,QQ).1 >> SAGE: m=numerical_eigenforms(chi,4); m >> Numerical Hecke eigenvalues for [1,-1] of weight 4 >> SAGE: m.ap(2) >> >> This instruction produces a crash: in notebook the system answers: >> /usr/local/sage/local/bin/sage-sage: line 352: 4080 Illegal >> instruction >> python "$@" >> >> In SAGE command line mode this set of instructions produces a similar >> crash. >> Some could help me? I thank you in advance, >> Beppe >> >> > > You downloaded the wrong binary. Fixes: > > (1) download the right binary, if there is one available, or > > (2) use the public sage notebook server (sagenb.org), or > > (3) build sage from source. > > Second your code contains a bug: > > chi=DirichletGroup(11,QQ).1 > should be > chi=DirichletGroup(11,QQ).0 > > since the indexing in sage is 0 based. > > Third, that space as dimension 0. But if you > chi=DirichletGroup(11,QQ).0^2 > you get something of dimension 4. > > Here's some examples of how things were when you have a binary for the > right machine: > > sage: chi=DirichletGroup(11,QQ).0^2 > sage: m=numerical_eigenforms(chi,4); m > sage: m.ap(2) > [9.0, 9.0 + 2.77555756156e-17*I, 2.73205080757 + 1.23504195035e-16*I, > -0.732050807569 - 2.08519811694e-15*I] > sage: dimension_modular_forms(chi^2,4) > 4 > sage: m.ap(3) > [28.0, 28.0 - 1.66533453694e-16*I, -7.92820323028 + > 3.91694614232e-15*I, 5.92820323028 - 5.96234312405e-16*I] > sage: ModularForms(chi,4) > Modular Forms space of dimension 4 for Congruence Subgroup Gamma0(11) > of weight 4 over Rational Field > sage: ModularForms(chi,4).basis() > [ > q + 3*q^3 - 6*q^4 - 7*q^5 + O(q^6), > q^2 - 4*q^3 + 2*q^4 + 8*q^5 + O(q^6), > 1 + O(q^6), > q + 9*q^2 + 28*q^3 + 73*q^4 + 126*q^5 + O(q^6) > ] > > > > > -- William > > > > > --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
[sage-support] Re: trouble with modular forms in SAGE
On Fri, Feb 6, 2009 at 8:58 AM, beppe wrote: > > Hello, > I'm novice in SAGE but I have a strange problem: > I have to compute some eigenvalues for the set of cuspidal newforms > for the group Gamma0(15), weight 4 and Legendre character chi of > conductor 5, so I type in SAGE the following set of instruction: > > SAGE: chi=DirichletGroup(11,QQ).1 > SAGE: m=numerical_eigenforms(chi,4); m > Numerical Hecke eigenvalues for [1,-1] of weight 4 > SAGE: m.ap(2) > > This instruction produces a crash: in notebook the system answers: > /usr/local/sage/local/bin/sage-sage: line 352: 4080 Illegal > instruction > python "$@" > > In SAGE command line mode this set of instructions produces a similar > crash. > Some could help me? I thank you in advance, > Beppe > You downloaded the wrong binary. Fixes: (1) download the right binary, if there is one available, or (2) use the public sage notebook server (sagenb.org), or (3) build sage from source. Second your code contains a bug: chi=DirichletGroup(11,QQ).1 should be chi=DirichletGroup(11,QQ).0 since the indexing in sage is 0 based. Third, that space as dimension 0. But if you chi=DirichletGroup(11,QQ).0^2 you get something of dimension 4. Here's some examples of how things were when you have a binary for the right machine: sage: chi=DirichletGroup(11,QQ).0^2 sage: m=numerical_eigenforms(chi,4); m sage: m.ap(2) [9.0, 9.0 + 2.77555756156e-17*I, 2.73205080757 + 1.23504195035e-16*I, -0.732050807569 - 2.08519811694e-15*I] sage: dimension_modular_forms(chi^2,4) 4 sage: m.ap(3) [28.0, 28.0 - 1.66533453694e-16*I, -7.92820323028 + 3.91694614232e-15*I, 5.92820323028 - 5.96234312405e-16*I] sage: ModularForms(chi,4) Modular Forms space of dimension 4 for Congruence Subgroup Gamma0(11) of weight 4 over Rational Field sage: ModularForms(chi,4).basis() [ q + 3*q^3 - 6*q^4 - 7*q^5 + O(q^6), q^2 - 4*q^3 + 2*q^4 + 8*q^5 + O(q^6), 1 + O(q^6), q + 9*q^2 + 28*q^3 + 73*q^4 + 126*q^5 + O(q^6) ] -- William --~--~-~--~~~---~--~~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to sage-support-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~--~~~~--~~--~--~---
