On Debian testing running on Core i7 + 16 GB RAM, ptestlong incurs three
transient failures :
----------------------------------------------------------------------
sage -t --long src/sage/modular/modform/element.py # Timed out
sage -t --long src/sage/homology/simplicial_complex.py # 1 doctest failed
sage -t --long
src/doc/en/thematic_tutorials/explicit_methods_in_number_theory/modabvar.rst
# Timed out
----------------------------------------------------------------------
Those failures do not happen when the doctests are run standalone.
However, two of these failures seem to be due to the unability to attach
gdb, but not reported as such in the abstract of the log.
Full log available on request. First failure :
sage -t --long src/sage/modular/modform/element.py
Timed out
**********************************************************************
Tests run before process (pid=27922) timed out:
sage: from sage.modular.modform.element import is_ModularFormElement ##
line 40 ##
sage: is_ModularFormElement(5) ## line 41 ##
False
sage: is_ModularFormElement(ModularForms(11).0) ## line 43 ##
True
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
45 ##
0
sage: L = delta_lseries() ## line 71 ##
sage: L(1) ## line 72 ##
0.0374412812685155
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
74 ##
0
sage: ModularForms(Gamma1(11), 2).gen(0).group() ## line 103 ##
Congruence Subgroup Gamma1(11)
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
105 ##
0
sage: (ModularForms(Gamma1(9),2).6).weight() ## line 114 ##
2
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
116 ##
0
sage: ModularForms(25,4).0.level() ## line 125 ##
25
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
127 ##
0
sage: ModularForms(25,4).0._repr_() ## line 136 ##
'q + O(q^6)'
sage: ModularForms(25,4).3._repr_() ## line 139 ##
'q^4 + O(q^6)'
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
141 ##
0
sage: f = ModularForms(DirichletGroup(17).0^2,2).2 ## line 150 ##
sage: q = f.q_expansion().parent().gen() ## line 152 ##
sage: f(q^2 + O(q^7)) ## line 153 ##
q^2 + (-zeta8^2 + 2)*q^4 + (zeta8 + 3)*q^6 + O(q^7)
sage: f(0) ## line 156 ##
0
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
158 ##
0
sage: ModularForms(11,2).0.valuation() ## line 168 ##
1
sage: ModularForms(11,2).1.valuation() ## line 170 ##
0
sage: ModularForms(25,6).1.valuation() ## line 172 ##
2
sage: ModularForms(25,6).6.valuation() ## line 174 ##
7
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
176 ##
0
sage: CuspForms(1,12).0.qexp() ## line 196 ##
q - 24*q^2 + 252*q^3 - 1472*q^4 + 4830*q^5 + O(q^6)
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
198 ##
0
sage: f = ModularForms(6,4).0 ## line 207 ##
sage: g = ModularForms(23,2).0 ## line 208 ##
sage: f == g ## indirect doctest ## line 209 ##
False
sage: f == f ## line 211 ##
True
sage: f == loads(dumps(f)) ## line 213 ##
True
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
215 ##
0
sage: f = Newforms(Gamma1(30), 2, names='a')[1] ## line 228 ##
sage: g = ModularForms(23, 2).0 ## line 229 ##
sage: f != g ## line 230 ##
True
sage: f != f ## line 232 ##
False
sage: f != loads(dumps(f)) ## line 239 ##
False
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
241 ##
0
sage: f = ModularForms(18,2).1 ## line 252 ##
sage: f.q_expansion(20) ## line 253 ##
q + 8*q^7 + 4*q^10 + 14*q^13 - 4*q^16 + 20*q^19 + O(q^20)
sage: f._compute([10,17]) ## line 255 ##
[4, 0]
sage: f._compute([]) ## line 257 ##
[]
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
259 ##
0
sage: e = DirichletGroup(11).gen() ## line 276 ##
sage: f = EisensteinForms(e, 3).eisenstein_series()[0] ## line 277 ##
sage: f.coefficients([0,1]) ## line 278 ##
[15/11*zeta10^3 - 9/11*zeta10^2 - 26/11*zeta10 - 10/11, 1]
sage: f.coefficients([0,1,2,3]) ## line 281 ##
[15/11*zeta10^3 - 9/11*zeta10^2 - 26/11*zeta10 - 10/11,
1,
4*zeta10 + 1,
-9*zeta10^3 + 1]
sage: f.coefficients([2,3]) ## line 286 ##
[4*zeta10 + 1, -9*zeta10^3 + 1]
sage: f.coefficients([0,1,2,3]) ## line 292 ##
[15/11*zeta10^3 - 9/11*zeta10^2 - 26/11*zeta10 - 10/11,
1,
4*zeta10 + 1,
-9*zeta10^3 + 1]
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
297 ##
0
sage: f = ModularForms(DirichletGroup(17).0^2,2).2 ## line 318 ##
sage: f.__getitem__(10) ## line 319 ##
zeta8^3 - 5*zeta8^2 - 2*zeta8 + 10
sage: f[30] ## line 321 ##
-2*zeta8^3 - 17*zeta8^2 + 4*zeta8 + 29
sage: f[10:15] ## line 323 ##
[zeta8^3 - 5*zeta8^2 - 2*zeta8 + 10,
-zeta8^3 + 11,
-2*zeta8^3 - 6*zeta8^2 + 3*zeta8 + 9,
12,
2*zeta8^3 - 7*zeta8^2 + zeta8 + 14]
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
329 ##
0
sage: CuspForms(1,12).0.padded_list(20) ## line 345 ##
[0,
1,
-24,
252,
-1472,
4830,
-6048,
-16744,
84480,
-113643,
-115920,
534612,
-370944,
-577738,
401856,
1217160,
987136,
-6905934,
2727432,
10661420]
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
347 ##
0
sage: ModularForms(25,4).0._latex_() ## line 357 ##
'q + O(q^{6})'
sage: ModularForms(25,4).4._latex_() ## line 360 ##
'q^{5} + O(q^{6})'
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
362 ##
0
sage: (ModularForms(117, 2).13).base_ring() ## line 371 ##
Rational Field
sage: (ModularForms(119, 2, base_ring=GF(7)).12).base_ring() ## line 373 ##
Finite Field of size 7
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
375 ##
0
sage: ModularForms(DirichletGroup(17).0^2,2).2.character() ## line 387 ##
Dirichlet character modulo 17 of conductor 17 mapping 3 |--> zeta8
sage: CuspForms(Gamma1(7), 3).gen(0).character() ## line 390 ##
Dirichlet character modulo 7 of conductor 7 mapping 3 |--> -1
sage: CuspForms(Gamma1(7), 3).gen(0).character(compute = False) is None ##
line 392 ##
True
sage: M = CuspForms(Gamma1(7), 5).gen(0).character() ## line 394 ##
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
398 ##
0
sage: bool(ModularForms(25,6).6) ## line 420 ##
True
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
422 ##
0
sage: M = ModularForms(2,14) ## line 434 ##
sage: f = M.0 ## line 435 ##
sage: f.prec() ## line 436 ##
0
sage: M.prec(20) ## line 439 ##
20
sage: f.prec() ## line 441 ##
0
sage: x = f.q_expansion() ; f.prec() ## line 443 ##
20
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
445 ##
0
sage: delta = CuspForms(1,12).0 ## line 460 ##
sage: delta.q_expansion() ## line 461 ##
q - 24*q^2 + 252*q^3 - 1472*q^4 + 4830*q^5 + O(q^6)
sage: f = CuspForms(23,2).0 ## line 466 ##
sage: f.q_expansion() ## line 467 ##
q - q^3 - q^4 + O(q^6)
sage: f.q_expansion(10) ## line 469 ##
q - q^3 - q^4 - 2*q^6 + 2*q^7 - q^8 + 2*q^9 + O(q^10)
sage: f.q_expansion(2) ## line 471 ##
q + O(q^2)
sage: f.q_expansion(1) ## line 473 ##
O(q^1)
sage: f.q_expansion(0) ## line 475 ##
O(q^0)
sage: f.q_expansion(-1) ## line 477 ##
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
481 ##
0
sage:
sage.modular.modform.element.ModularForm_abstract.atkin_lehner_eigenvalue(CuspForms(2,
8).0) ## line 508 ##
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
512 ##
0
sage: C = Newforms(11, 2)[0] ## line 547 ##
sage: m = C.group()(matrix([[-4, -3], [11, 8]])) ## line 548 ##
sage: C.period(m) ## line 549 ##
-0.634604652139776 - 1.45881661693850*I
sage: f = Newforms(15, 2)[0] ## line 552 ##
sage: g = Gamma0(15)(matrix([[-4, -3], [15, 11]])) ## line 553 ##
sage: f.period(g) # abs tol 1e-15 ## line 554 ##
2.17298044293747e-16 - 1.59624222213178*I
sage: E = EllipticCurve('11a3') ## line 561 ##
sage: f = E.newform() ## line 562 ##
sage: g = Gamma0(11)([3, 1, 11, 4]) ## line 563 ##
sage: f.period(g) ## line 564 ##
0.634604652139777 + 1.45881661693850*I
sage: omega1, omega2 = E.period_lattice().basis() ## line 566 ##
sage: -2/5*omega1 + omega2 ## line 567 ##
0.634604652139777 + 1.45881661693850*I
sage: s = E.modular_symbol(sign=+1) ## line 580 ##
sage: t = E.modular_symbol(sign=-1, implementation="sage") ## line 581 ##
sage: s(3/11), t(3/11) ## line 582 ##
(1/10, 1/2)
sage: s(3/11)*omega1 + t(3/11)*2*omega2.imag()*I ## line 584 ##
0.634604652139777 + 1.45881661693850*I
sage: C = Newforms(11, 2)[0] ## line 600 ##
sage: g = Gamma0(15)(matrix([[-4, -3], [15, 11]])) ## line 601 ##
sage: C.period(g) ## line 602 ##
sage: f = Newforms(Gamma0(15), 4)[0] ## line 609 ##
sage: f.period(g) ## line 610 ##
sage: S = Newforms(Gamma1(17), 2, names='a') ## line 615 ##
sage: f = S[1] ## line 616 ##
sage: g = Gamma1(17)([18, 1, 17, 1]) ## line 617 ##
sage: f.period(g) ## line 618 ##
sage: E = ModularForms(Gamma0(4), 2).eisenstein_series()[0] ## line 623 ##
sage: gamma = Gamma0(4)([1, 0, 4, 1]) ## line 624 ##
sage: E.period(gamma) ## line 625 ##
Warning: not a newform, precision not guaranteed
sage: E = EllipticCurve('19a1') ## line 630 ##
sage: M = Gamma0(19)([10, 1, 19, 2]) ## line 631 ##
sage: E.newform().period(M) # abs tol 1e-14 ## line 632 ##
-1.35975973348831 + 1.09365931898146e-16*I
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
635 ##
0
sage: f = CuspForms(2,8).newforms()[0] ## line 722 ##
sage: L = f.lseries() ## line 723 ##
sage: L ## line 724 ##
L-series associated to the cusp form q - 8*q^2 + 12*q^3 + 64*q^4 - 210*q^5
+ O(q^6)
sage: L(1) ## line 726 ##
0.0884317737041015
sage: L(0.5) ## line 728 ##
0.0296568512531983
sage: abs(L.check_functional_equation()) < 1.0e-20 ## line 733 ##
True
sage: f = Newforms(43, names='a')[1] ## line 738 ##
sage: K = f.hecke_eigenvalue_field() ## line 739 ##
sage: phi1, phi2 = K.embeddings(CC) ## line 740 ##
sage: L = f.lseries(embedding=phi1) ## line 741 ##
sage: L ## line 742 ##
L-series associated to the cusp form q + a1*q^2 - a1*q^3 + (-a1 + 2)*q^5 +
O(q^6), a1=-1.41421356237310
sage: L(1) ## line 744 ##
0.620539857407845
sage: L = f.lseries(embedding=1) ## line 746 ##
sage: L(1) ## line 747 ##
0.921328017272472
sage: f.lseries(conjugate=1) ## line 752 ##
doctest:warning
File "/usr/local/sage-8/src/bin/sage-runtests", line 97, in <module>
err = DC.run()
File
"/usr/local/sage-8/local/lib/python2.7/site-packages/sage/doctest/control.py",
line 1149, in run
self.run_doctests()
File
"/usr/local/sage-8/local/lib/python2.7/site-packages/sage/doctest/control.py",
line 873, in run_doctests
self.dispatcher.dispatch()
File
"/usr/local/sage-8/local/lib/python2.7/site-packages/sage/doctest/forker.py",
line 1759, in dispatch
self.parallel_dispatch()
File
"/usr/local/sage-8/local/lib/python2.7/site-packages/sage/doctest/forker.py",
line 1649, in parallel_dispatch
w.start() # This might take some time
File
"/usr/local/sage-8/local/lib/python2.7/site-packages/sage/doctest/forker.py",
line 1925, in start
super(DocTestWorker, self).start()
File "/usr/local/sage-8/local/lib/python2.7/multiprocessing/process.py",
line 130, in start
self._popen = Popen(self)
File "/usr/local/sage-8/local/lib/python2.7/multiprocessing/forking.py",
line 126, in __init__
code = process_obj._bootstrap()
File "/usr/local/sage-8/local/lib/python2.7/multiprocessing/process.py",
line 258, in _bootstrap
self.run()
File
"/usr/local/sage-8/local/lib/python2.7/site-packages/sage/doctest/forker.py",
line 1898, in run
task(self.options, self.outtmpfile, msgpipe, self.result_queue)
File
"/usr/local/sage-8/local/lib/python2.7/site-packages/sage/doctest/forker.py",
line 2200, in __call__
result = runner.run(test)
File
"/usr/local/sage-8/local/lib/python2.7/site-packages/sage/doctest/forker.py",
line 647, in run
return self._run(test, compileflags, out)
File
"/usr/local/sage-8/local/lib/python2.7/site-packages/sage/doctest/forker.py",
line 509, in _run
self.compile_and_execute(example, compiler, test.globs)
File
"/usr/local/sage-8/local/lib/python2.7/site-packages/sage/doctest/forker.py",
line 872, in compile_and_execute
exec(compiled, globs)
File "<doctest sage.modular.modform.element.ModularForm_abstract.?[14]>",
line 1, in <module>
f.lseries(conjugate=Integer(1))
File
"/usr/local/sage-8/local/lib/python2.7/site-packages/sage/modular/modform/element.py",
line 809, in lseries
deprecation(19668, "The argument 'conjugate' for 'lseries' is
deprecated -- use the synonym 'embedding'")
File
"/usr/local/sage-8/local/lib/python2.7/site-packages/sage/misc/superseded.py",
line 101, in deprecation
warning(trac_number, message, DeprecationWarning, stacklevel)
File
"/usr/local/sage-8/local/lib/python2.7/site-packages/sage/misc/superseded.py",
line 142, in warning
warn(message, warning_class, stacklevel)
:
DeprecationWarning: The argument 'conjugate' for 'lseries' is deprecated --
use the synonym 'embedding'
See http://trac.sagemath.org/19668 for details.
L-series associated to the cusp form q + a1*q^2 - a1*q^3 + (-a1 + 2)*q^5 +
O(q^6), a1=1.41421356237310
sage: f = ModularForms(1,4).0 ## line 759 ##
sage: L = f.lseries() ## line 760 ##
sage: L(1) ## line 761 ##
-0.0304484570583933
sage: L = eisenstein_series_lseries(4) ## line 763 ##
sage: L(1) ## line 764 ##
-0.0304484570583933
sage: delta = CuspForms(1,12).0 ## line 769 ##
sage: L = delta.lseries() ## line 770 ##
sage: L(1) ## line 771 ##
0.0374412812685155
sage: L = delta_lseries() ## line 773 ##
sage: L(1) ## line 774 ##
0.0374412812685155
sage: E = EllipticCurve('37b2') ## line 779 ##
sage: h = Newforms(37)[1] ## line 780 ##
sage: Lh = h.lseries() ## line 781 ##
sage: LE = E.lseries() ## line 782 ##
sage: Lh(1), LE(1) ## line 783 ##
(0.725681061936153, 0.725681061936153)
sage: CuspForms(1, 30).0.lseries().eps ## line 785 ##
-1
sage: f = Newforms(389, names='a')[0] ## line 790 ##
sage: L = f.lseries(prec=30) ## line 791 ##
sage: abs(L(1)) < 2^-30 ## line 792 ##
True
sage: L = f.lseries(prec=53) ## line 794 ##
sage: abs(L(1)) < 2^-53 ## line 795 ##
True
sage: L = f.lseries(prec=100) ## line 797 ##
sage: abs(L(1)) < 2^-100 ## line 798 ##
True
sage: f = Newforms(27, names='a')[0] ## line 801 ##
sage: L = f.lseries() ## line 802 ##
sage: L(1) ## line 803 ##
0.588879583428483
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
805 ##
0
sage: CuspForms(1, 12).0.symsquare_lseries()(22) ## line 883 ##
0.999645711124771
sage: psi = DirichletGroup(7).0^2 ## line 888 ##
sage: L = CuspForms(1, 16).0.symsquare_lseries(psi) ## line 889 ##
sage: L(22) ## line 890 ##
0.998407750967420 - 0.00295712911510708*I
sage: F = Newforms(1, 24, names='a')[0] ## line 895 ##
sage: K = F.hecke_eigenvalue_field() ## line 896 ##
sage: phi = K.embeddings(RR)[0] ## line 897 ##
sage: L = F.symsquare_lseries(embedding=phi) ## line 898 ##
sage: L(5) ## line 899 ##
verbose -1 (482: dokchitser.py, __call__) Warning: Loss of 8 decimal digits
due to cancellation
-3.57698266793901e19
sage:
CuspForms(1,16).0.symsquare_lseries(prec=200).check_functional_equation().abs()
< 1.0e-80 ## line 905 ##
True
sage: CuspForms(1, 12).0.symsquare_lseries(prec=1000)(22) # long time (20s)
## line 907 ##
0.999645711124771397835729622033153189549796658647254961493709341358991830134499267117001769570658192128781135161587571716303826382489492569725002840546129937149159065273765309218543427544527498868033604310899372849565046516553245752253255585377793879866297612679545029546953895098375829822346290125161
sage: F = Newforms(1,12)[0] ## line 912 ##
sage: chi = DirichletGroup(7).0 ## line 913 ##
sage: abs(F.symsquare_lseries(chi).check_functional_equation()) < 1e-5 ##
line 914 ##
True
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
922 ##
0
sage: CuspForms(1, 16).0.petersson_norm() ## line 1015 ##
verbose -1 (482: dokchitser.py, __call__) Warning: Loss of 2 decimal digits
due to cancellation
2.16906134759063e-6
sage: set_verbose(-2, "dokchitser.py") # disable precision-loss warnings ##
line 1021 ##
sage: F = Newforms(1, 24, names='a')[0] ## line 1022 ##
sage: F.petersson_norm(embedding=0) ## line 1023 ##
0.000107836545077234
sage: F.petersson_norm(embedding=1) ## line 1025 ##
0.000128992800758160
sage: F, G = CuspForms(1, 24).basis() ## line 1032 ##
sage: X = lambda u: u.petersson_norm(prec=100) ## line 1033 ##
sage: (X(F + G) + X(F - G) - 2*X(F) - 2*X(G)).abs() < 1e-25 ## line 1034 ##
True
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
1036 ##
0
sage: sage.modular.modform.element.Newform(CuspForms(11,2),
ModularSymbols(11,2,sign=1).cuspidal_subspace(), 'a') ## line 1062 ##
q - 2*q^2 - q^3 + 2*q^4 + q^5 + O(q^6)
sage: f = Newforms(DirichletGroup(5).0, 7,names='a')[0];
f[2].trace(f.base_ring().base_field()) ## line 1065 ##
-5*zeta4 - 5
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
1067 ##
0
sage: [ f._name() for f in Newforms(38,4,names='a') ] ## line 1098 ##
['a0', 'a1', 'a2']
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
1100 ##
0
sage: forms = Newforms(31, 6, names='a') ## line 1109 ##
sage: forms[0]._compute_q_expansion(10) ## line 1110 ##
q + a0*q^2 + (5/704*a0^4 + 43/704*a0^3 - 61/88*a0^2 - 197/44*a0 +
717/88)*q^3 + (a0^2 - 32)*q^4 + (-31/352*a0^4 - 249/352*a0^3 + 111/22*a0^2
+ 218/11*a0 - 2879/44)*q^5 + (-1/352*a0^4 - 79/352*a0^3 - 67/44*a0^2 +
13/22*a0 - 425/44)*q^6 + (17/88*a0^4 + 133/88*a0^3 - 405/44*a0^2 -
1005/22*a0 - 35/11)*q^7 + (a0^3 - 64*a0)*q^8 + (39/352*a0^4 + 441/352*a0^3
- 93/44*a0^2 - 441/22*a0 - 5293/44)*q^9 + O(q^10)
sage: forms[0]._compute_q_expansion(15) ## line 1112 ##
q + a0*q^2 + (5/704*a0^4 + 43/704*a0^3 - 61/88*a0^2 - 197/44*a0 +
717/88)*q^3 + (a0^2 - 32)*q^4 + (-31/352*a0^4 - 249/352*a0^3 + 111/22*a0^2
+ 218/11*a0 - 2879/44)*q^5 + (-1/352*a0^4 - 79/352*a0^3 - 67/44*a0^2 +
13/22*a0 - 425/44)*q^6 + (17/88*a0^4 + 133/88*a0^3 - 405/44*a0^2 -
1005/22*a0 - 35/11)*q^7 + (a0^3 - 64*a0)*q^8 + (39/352*a0^4 + 441/352*a0^3
- 93/44*a0^2 - 441/22*a0 - 5293/44)*q^9 + (15/176*a0^4 - 135/176*a0^3 -
185/11*a0^2 + 311/11*a0 + 2635/22)*q^10 + (-291/704*a0^4 - 3629/704*a0^3 +
1139/88*a0^2 + 10295/44*a0 - 21067/88)*q^11 + (-75/176*a0^4 - 645/176*a0^3
+ 475/22*a0^2 + 1503/11*a0 - 5651/22)*q^12 + (207/704*a0^4 + 2977/704*a0^3
+ 581/88*a0^2 - 3307/44*a0 - 35753/88)*q^13 + (-5/22*a0^4 + 39/11*a0^3 +
763/22*a0^2 - 2296/11*a0 - 2890/11)*q^14 + O(q^15)
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
1114 ##
0
sage: f1, f2 = Newforms(17,4,names='a') ## line 1123 ##
sage: f1.__eq__(f1) ## line 1124 ##
True
sage: f1.__eq__(f2) ## line 1126 ##
False
sage: f = Newforms(Gamma1(11), 2)[0]; f ## line 1132 ##
q - 2*q^2 - q^3 + 2*q^4 + q^5 + O(q^6)
sage: g = Newforms(Gamma0(11), 2)[0]; g ## line 1134 ##
q - 2*q^2 - q^3 + 2*q^4 + q^5 + O(q^6)
sage: f == g ## line 1136 ##
True
sage: f = Newforms(DirichletGroup(4)[1], 5)[0]; f ## line 1139 ##
q - 4*q^2 + 16*q^4 - 14*q^5 + O(q^6)
sage: g = Newforms(Gamma1(4), 5)[0]; g ## line 1141 ##
q - 4*q^2 + 16*q^4 - 14*q^5 + O(q^6)
sage: f == g ## line 1143 ##
True
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
1146 ##
0
sage: Newforms(14,2)[0] ## line 1172 ##
q - q^2 - 2*q^3 + q^4 + O(q^6)
sage: Newforms(14,2)[0].abelian_variety() ## line 1174 ##
------------------------------------------------------------------------
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python(_start+0x2a)[0x56153bdca7ea]
------------------------------------------------------------------------
Attaching gdb to process id 27922.
Failed to run gdb.
Failed to run gdb.
Install gdb for enhanced tracebacks.
------------------------------------------------------------------------
The second one :
sage -t --long
src/doc/en/thematic_tutorials/explicit_methods_in_number_theory/modabvar.rst
Timed out
**********************************************************************
Tests run before process (pid=21348) timed out:
sage: D = J0(39).decomposition(); D ## line 37 ##
[
Simple abelian subvariety 39a(1,39) of dimension 1 of J0(39),
Simple abelian subvariety 39b(1,39) of dimension 2 of J0(39)
]
sage: D[1].lattice() ## line 42 ##
Free module of degree 6 and rank 4 over Integer Ring
Echelon basis matrix:
[ 1 0 0 1 -1 0]
[ 0 1 1 0 -1 0]
[ 0 0 2 0 -1 0]
[ 0 0 0 0 0 1]
sage: G = D[1].rational_torsion_subgroup(); G ## line 49 ##
Torsion subgroup of Simple abelian subvariety 39b(1,39) of dimension 2 of
J0(39)
sage: G.order() ## line 52 ##
28
sage: G.gens() ## line 54 ##
[[(1/14, 2/7, 0, 1/14, -3/14, 1/7)], [(0, 1, 0, 0, -1/2, 0)], [(0, 0, 1, 0,
-1/2, 0)]]
sage: B, phi = D[1]/G ## line 57 ##
sage: B ## line 58 ##
Abelian variety factor of dimension 2 of J0(39)
sage: phi.kernel() ## line 60 ##
(Finite subgroup with invariants [2, 14] over QQ of Simple abelian
subvariety 39b(1,39) of dimension 2 of J0(39),
Abelian subvariety of dimension 0 of J0(39))
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line
63 ##
0
sage: A = J0(91)[2]; A ## line 72 ##
Simple abelian subvariety 91c(1,91) of dimension 2 of J0(91)
sage: R = End(A); R ## line 74 ##
Endomorphism ring of Simple abelian subvariety 91c(1,91) of dimension 2 of
J0(91)
sage: for x in R.gens():
print(x.matrix())
print("") ## line 77 ##
------------------------------------------------------------------------
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/usr/local/sage-8/local/lib/libpython2.7.so.1.0(+0x85c1d)[0x7f1441e0cc1d]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyObject_Call+0x43)[0x7f1441ddb9c3]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(+0x65d9c)[0x7f1441decd9c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyObject_Call+0x43)[0x7f1441ddb9c3]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x54cf)[0x7f1441e921bf]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x6f5e)[0x7f1441e93c4e]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x6f5e)[0x7f1441e93c4e]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x6f5e)[0x7f1441e93c4e]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x6f5e)[0x7f1441e93c4e]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCode+0x19)[0x7f1441e96b89]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x759b)[0x7f1441e9428b]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x6f5e)[0x7f1441e93c4e]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x6f5e)[0x7f1441e93c4e]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x6f5e)[0x7f1441e93c4e]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(+0x85b4c)[0x7f1441e0cb4c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyObject_Call+0x43)[0x7f1441ddb9c3]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(+0x65d9c)[0x7f1441decd9c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyObject_Call+0x43)[0x7f1441ddb9c3]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(+0xc3f0a)[0x7f1441e4af0a]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyObject_Call+0x43)[0x7f1441ddb9c3]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x54cf)[0x7f1441e921bf]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x6f5e)[0x7f1441e93c4e]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x7078)[0x7f1441e93d68]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(+0x85b4c)[0x7f1441e0cb4c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyObject_Call+0x43)[0x7f1441ddb9c3]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(+0x65d9c)[0x7f1441decd9c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyObject_Call+0x43)[0x7f1441ddb9c3]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(+0xc4492)[0x7f1441e4b492]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(+0xc0a0e)[0x7f1441e47a0e]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyObject_Call+0x43)[0x7f1441ddb9c3]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x54cf)[0x7f1441e921bf]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x7078)[0x7f1441e93d68]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x6f5e)[0x7f1441e93c4e]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x6f5e)[0x7f1441e93c4e]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x6f5e)[0x7f1441e93c4e]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x6f5e)[0x7f1441e93c4e]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalFrameEx+0x6f5e)[0x7f1441e93c4e]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCodeEx+0x8bc)[0x7f1441e96a8c]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyEval_EvalCode+0x19)[0x7f1441e96b89]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyRun_FileExFlags+0x8a)[0x7f1441ebafca]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(PyRun_SimpleFileExFlags+0xd5)[0x7f1441ebc3a5]
/usr/local/sage-8/local/lib/libpython2.7.so.1.0(Py_Main+0xc6f)[0x7f1441ed2c7f]
/lib/x86_64-linux-gnu/libc.so.6(__libc_start_main+0xf1)[0x7f14410e02b1]
python(_start+0x2a)[0x56153bdca7ea]
------------------------------------------------------------------------
Attaching gdb to process id 21348.
Failed to run gdb.
Failed to run gdb.
Install gdb for enhanced tracebacks.
------------------------------------------------------------------------
gdb *is* installed on this machine :
charpent@asus16-ec:/usr/local/sage-8$ dpkg -l gdb
Souhait=inconnU/Installé/suppRimé/Purgé/H=à garder
|
État=Non/Installé/fichier-Config/dépaqUeté/échec-conFig/H=semi-installé/W=attend-traitement-déclenchements
|/ Err?=(aucune)/besoin Réinstallation (État,Err: majuscule=mauvais)
||/ Nom Version Architecture Description
+++-==============-============-============-=================================
ii gdb 7.12-6 amd64 GNU Debugger
charpent@asus16-ec:/usr/local/sage-8$ gdb
GNU gdb (Debian 7.12-6) 7.12.0.20161007-git
Copyright (C) 2016 Free Software Foundation, Inc.
License GPLv3+: GNU GPL version 3 or later
<http://gnu.org/licenses/gpl.html>
This is free software: you are free to change and redistribute it.
There is NO WARRANTY, to the extent permitted by law. Type "show copying"
and "show warranty" for details.
This GDB was configured as "x86_64-linux-gnu".
Type "show configuration" for configuration details.
For bug reporting instructions, please see:
<http://www.gnu.org/software/gdb/bugs/>.
Find the GDB manual and other documentation resources online at:
<http://www.gnu.org/software/gdb/documentation/>.
For help, type "help".
Type "apropos word" to search for commands related to "word".
(gdb) quit
An anecdote, but of note : ptestlong was the sole "active" job on this
machine, run in a gnome-terminal window. When I went back to it, I noticed
a considerably sluggish answer of Gnome, and ended up rebooting the
machine. This is a bit surprising.
HTH,
--
Emmanuel Charpentier
Le jeudi 6 juillet 2017 00:52:07 UTC+2, Volker Braun a écrit :
>
> As always, you can get the latest beta version from the "develop" git
> branch. Alternatively, the self-contained source tarball is at
> http://www.sagemath.org/download-latest.html
>
> c522ced Updated SageMath version to 8.0.rc1
> c276485 Trac #23339: Fixes to the sage-rebaseall.sh script (followup to
> #20986)
> 610bfde Trac #21399: Provide ctypes.util.find_library compatibility with
> Cygwin
> 97a8bdf Trac #23284: Testing padic_base_leaves.py takes a VERY long time
> 7de256c Updated SageMath version to 8.0.rc0
>
>
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