On Debian testing running on core i7 + 16 GB RAM, upgrading 9.1.beta6 to
9.1.beta9 gets 13 permanent errors :
----------------------------------------------------------------------
sage -t --long src/sage/schemes/elliptic_curves/ell_number_field.py # 5
doctests failed
sage -t --long src/sage/schemes/elliptic_curves/height.py # 6 doctests
failed
sage -t --long src/sage/rings/number_field/number_field.py # 8 doctests
failed
sage -t --long src/sage/schemes/elliptic_curves/gp_simon.py # 2 doctests
failed
sage -t --long src/sage/rings/number_field/number_field_ideal.py # 2
doctests failed
sage -t --long src/sage/schemes/plane_conics/con_number_field.py # 2
doctests failed
sage -t --long src/sage/tests/gap_packages.py # 1 doctest failed
sage -t --long src/sage/lfunctions/dokchitser.py # 2 doctests failed
sage -t --long src/sage/rings/number_field/number_field_element.pyx #
Timed out
sage -t --long src/sage/numerical/backends/glpk_backend.pyx # 1 doctest
failed
sage -t --long src/sage/rings/polynomial/polynomial_quotient_ring.py # 2
doctests failed
sage -t --long src/sage/lfunctions/pari.py # 1 doctest failed
sage -t --long src/sage/rings/number_field/unit_group.py # 1 doctest failed
sage -t --long src/sage/libs/glpk/error.pyx # 1 doctest failed
sage -t --long src/sage/interfaces/tachyon.py # 1 doctest failed
----------------------------------------------------------------------
Re-running these tests individually gives the enclosed chkerrs.txt.
HTH,
Le dimanche 29 mars 2020 21:50:19 UTC+2, Matthias Köppe a écrit :
>
> On Sunday, March 29, 2020 at 8:59:43 AM UTC-4, Volker Braun wrote:
>>
>> 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
>>
>> I don't see any major issues for 9.1 any more, so we should soon have the
>> first rc. If you have anything that you thing should go in then now is the
>> time to finish it up ;-)
>>
>> 6a4580546f (tag: 9.1.beta9, trac/develop) Updated SageMath version to
>> 9.1.beta9
>>
>
>
> Let me remark that this is the first beta that tries to use the system
> python3 in a venv (#27824) instead of building our own copy of python3.
> Tests of building from scratch or (after "make python3-clean") would be
> valuable.
>
>
> I ran tests (make build ptest) at
> https://github.com/mkoeppe/sage/actions/runs/65613035 .
> Full logs for all builds are available at this link.
>
> *Debian* (jessie/buster/bullseye/sid), *Ubuntu*
> (trusty/xenial/bionic/eoan/focal)m and *LinuxMint* (19.3) are mostly
> clean.
>
> Some of the doctest failures are likely known to distribution packagers
> already. If fixes for these doctests are available already, now it's time
> to upstream them.
>
> Some doctest failures, for example ubuntu-bionic-standard (
> https://github.com/mkoeppe/sage/runs/542655815):
> sage -t src/sage/interfaces/r.py # 1 doctest failed
> sage -t src/sage/interfaces/tachyon.py # 1 doctest failed
> sage -t src/sage/libs/glpk/error.pyx # 1 doctest failed
> sage -t src/sage/numerical/backends/glpk_backend.pyx # 1 doctest failed
> sage -t src/sage/tests/cmdline.py # 3 doctests failed
>
> ubuntu-eoan-standard
> https://github.com/mkoeppe/sage/runs/542655826
> sage -t src/sage/interfaces/giac.py # 2 doctests failed
> sage -t src/sage/interfaces/r.py # 1 doctest failed
> sage -t src/sage/interfaces/tachyon.py # 1 doctest failed
> sage -t src/sage/libs/eclib/interface.py # 1 doctest failed
> sage -t src/sage/libs/glpk/error.pyx # 1 doctest failed
> sage -t src/sage/numerical/backends/glpk_backend.pyx # 1 doctest failed
> sage -t src/sage/tests/cmdline.py # 3 doctests failed
>
> debian-buster-standard (https://github.com/mkoeppe/sage/runs/542655851)
> sage -t src/sage/combinat/tutorial.py # 2 doctests failed
> sage -t src/sage/interfaces/ecm.py # 3 doctests failed
> sage -t src/sage/interfaces/r.py # 1 doctest failed
> sage -t src/sage/interfaces/tachyon.py # 1 doctest failed
> sage -t src/sage/libs/glpk/error.pyx # 1 doctest failed
> sage -t src/sage/libs/libecm.pyx # 1 doctest failed
> sage -t src/sage/numerical/backends/glpk_backend.pyx # 1 doctest failed
> sage -t src/sage/rings/finite_rings/element_pari_ffelt.pyx # 1 doctest
> failed
> sage -t src/sage/rings/padics/padic_lattice_element.py # 3 doctests failed
> sage -t
> src/sage/schemes/hyperelliptic_curves/hyperelliptic_finite_field.py # 2
> doctests failed
> sage -t src/sage/tests/book_stein_ent.py # 1 doctest failed
> sage -t
> src/sage/tests/books/computational-mathematics-with-sagemath/combinat_doctest.py
>
> # 2 doctests failed
> sage -t src/sage/tests/cmdline.py # 3 doctests failed
>
> debian-bullseye-standard (https://github.com/mkoeppe/sage/runs/542655863)
> sage -t src/sage/interfaces/r.py # 1 doctest failed
> sage -t src/sage/interfaces/tachyon.py # 1 doctest failed
> sage -t src/sage/lfunctions/dokchitser.py # 2 doctests failed
> sage -t src/sage/lfunctions/pari.py # 1 doctest failed
> sage -t src/sage/libs/glpk/error.pyx # 1 doctest failed
> sage -t src/sage/interfaces/maxima.py # Timed out
> sage -t src/sage/numerical/backends/glpk_backend.pyx # 1 doctest failed
> sage -t src/sage/rings/number_field/number_field.py # 8 doctests failed
> sage -t src/sage/rings/number_field/number_field_ideal.py # 2 doctests
> failed
> sage -t src/sage/rings/number_field/unit_group.py # 1 doctest failed
> sage -t src/sage/rings/padics/padic_lattice_element.py # 3 doctests failed
> sage -t src/sage/rings/polynomial/polynomial_quotient_ring.py # 2
> doctests failed
> sage -t src/sage/rings/number_field/number_field_element.pyx # Timed out
> sage -t src/sage/schemes/elliptic_curves/ell_number_field.py # 3 doctests
> failed
> sage -t src/sage/schemes/elliptic_curves/height.py # 6 doctests failed
> sage -t src/sage/schemes/plane_conics/con_number_field.py # 1 doctest
> failed
> sage -t src/sage/tests/cmdline.py # 3 doctests failed
>
>
> *Fedora* (26-32), *Centos* (7-8):
>
> Fedora 26: clean
>
> Fedora 27, 28, 29: Critical test failures in sage.combinat, likely because
> of symmetrica https://trac.sagemath.org/ticket/29405
>
> Fedora 30 and 31: Doctest build error related to eclib
>
> Fedora 32: Build errors with various packages. Fedora 32 already ships gcc
> 10!
>
> Centos 7 and 8: clean
>
>
> *Arch Linux*: clean
>
> *Slackware: *Build error with freetype;
> https://trac.sagemath.org/ticket/29373 needs review
>
> *macOS:*
>
> homebrew-macos-minimal:
> sage -t src/sage/interfaces/gap.py # 1 doctest failed
> sage -t src/sage/rings/padics/padic_lattice_element.py # 3 doctests failed
> sage -t src/sage/sets/recursively_enumerated_set.pyx # 2 doctests failed
>
> homebrew-macos-standard:
> pynac build error - https://trac.sagemath.org/ticket/29404 needs review
>
> homebrew-conda-forge-minimal:
> gfan build error - https://trac.sagemath.org/ticket/28984
>
> homebrew-conda-forge-standard:
> numpy build error
>
>
>
>
>
>
>
>
>
>
>
>
>
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too many failed tests, not using stored timings
Running doctests with ID 2020-03-29-20-17-39-73fcfad9.
Git branch: develop
Using
--optional=build,dochtml,dot2tex,flask,flask_autoindex,flask_babel,flask_oldsessions,flask_openid,flask_silk,fricas,gap_packages,giacpy_sage,libsemigroups,memlimit,python_openid,sage,speaklater,twisted
Doctesting 1 file.
sage -t --long src/sage/schemes/elliptic_curves/ell_number_field.py
**********************************************************************
File "src/sage/schemes/elliptic_curves/ell_number_field.py", line 301, in
sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field.?
Failed example:
E.simon_two_descent() # long time (4s on sage.math, 2013)
Expected:
(3,
3,
[(0 : 0 : 1),
(-1/2*zeta43_0^2 - 1/2*zeta43_0 + 7 : -3/2*zeta43_0^2 - 5/2*zeta43_0 + 18
: 1)])
Got:
(3,
3,
[(0 : 0 : 1),
(-1/2*zeta43_0^2 - 1/2*zeta43_0 + 7 : -3/2*zeta43_0^2 - 5/2*zeta43_0 + 18
: 1),
(5/8*zeta43_0^2 + 17/8*zeta43_0 - 9/4 : -27/16*zeta43_0^2 -
103/16*zeta43_0 + 39/8 : 1)])
**********************************************************************
File "src/sage/schemes/elliptic_curves/ell_number_field.py", line 812, in
sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field.global_integral_model
Failed example:
E.global_integral_model()
Expected:
Elliptic Curve defined by y^2 + (2094779518028859*v-1940492905300351)*x*y +
(477997268472544193101178234454165304071127500*v-442791377441346852919930773849502871958097500)*y
= x^3 +
(26519784690047674853185542622500*v-24566525306469707225840460652500)*x^2 over
Number Field in v with defining polynomial x^2 + 161*x - 150
Got:
Elliptic Curve defined by y^2 + (33872485050625*v-31078224284250)*x*y +
(2020602604156076340058146664245468750000*v-1871778534673615560803175189398437500000)*y
= x^3 + (6933305282258321342920781250*v-6422644400723486559914062500)*x^2 over
Number Field in v with defining polynomial x^2 + 161*x - 150
**********************************************************************
File "src/sage/schemes/elliptic_curves/ell_number_field.py", line 924, in
sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field._scale_by_units
Failed example:
E1.ainvs()
Expected:
(0,
0,
0,
28087920796764302856*a + 88821804456186580548,
-77225139016967233228487820912*a - 244207331916752959911655344864)
Got:
(0,
0,
0,
193309837823322216*a - 611299381639464252,
-3379649566176127326923323632*a + 10687390322316522207588229536)
**********************************************************************
File "src/sage/schemes/elliptic_curves/ell_number_field.py", line 2407, in
sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field.gens
Failed example:
E.gens(lim1=1, lim3=1)
Exception raised:
Traceback (most recent call last):
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/ell_number_field.py",
line 2440, in gens
return self.gens_quadratic(**kwds)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/ell_number_field.py",
line 3897, in gens_quadratic
raise ValueError("gens_quadratic() requires the base field to be
quadratic")
ValueError: gens_quadratic() requires the base field to be quadratic
During handling of the above exception, another exception occurred:
Traceback (most recent call last):
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 681, in _run
self.compile_and_execute(example, compiler, test.globs)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 1123, in compile_and_execute
exec(compiled, globs)
File "<doctest
sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field.gens[5]>",
line 1, in <module>
E.gens(lim1=Integer(1), lim3=Integer(1))
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/ell_number_field.py",
line 2442, in gens
self.simon_two_descent(**kwds)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/ell_number_field.py",
line 329, in simon_two_descent
known_points=known_points)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/gp_simon.py",
line 144, in simon_two_descent
raise RuntimeError("\n%s\nAn error occurred while running Simon's
2-descent program"%s)
RuntimeError:
*** at top-level: ans=bnfellrank(K,[1,0,5*a^2+16,0,0],[])
*** ^-----------------------------------
*** in function bnfellrank: ...eqtheta,rnfeq,bbnf];rang=
*** bnfell2descent_gen(bn
*** ^---------------------
*** in function bnfell2descent_gen: ...ratic equation = "));vec=
*** bnfqfsolve(bnf,alphac
*** ^---------------------
*** in function bnfqfsolve: ...(nb==oldnb,if(flag3,resl=
*** bnfqfsolve2(bnf,aa,bb
*** ^---------------------
*** in function bnfqfsolve2: ...;if(!length(expsolution),
*** error("bnfqfsolve2 :
*** ^---------------------
*** user error: bnfqfsolve2 : NO SOLUTION !!
An error occurred while running Simon's 2-descent program
**********************************************************************
File "src/sage/schemes/elliptic_curves/ell_number_field.py", line 2409, in
sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field.gens
Failed example:
E.rank(), E.gens(lim3=12) # long time (about 4s)
Exception raised:
Traceback (most recent call last):
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 681, in _run
self.compile_and_execute(example, compiler, test.globs)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 1123, in compile_and_execute
exec(compiled, globs)
File "<doctest
sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field.gens[6]>",
line 1, in <module>
E.rank(), E.gens(lim3=Integer(12)) # long time (about 4s)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/ell_number_field.py",
line 2342, in rank
lower, upper = self.rank_bounds(**kwds)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/ell_number_field.py",
line 2266, in rank_bounds
lower, upper, gens = self.simon_two_descent(**kwds)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/ell_number_field.py",
line 329, in simon_two_descent
known_points=known_points)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/gp_simon.py",
line 144, in simon_two_descent
raise RuntimeError("\n%s\nAn error occurred while running Simon's
2-descent program"%s)
RuntimeError:
*** at top-level: ans=bnfellrank(K,[1,0,5*a^2+16,0,0],[])
*** ^-----------------------------------
*** in function bnfellrank: ...eqtheta,rnfeq,bbnf];rang=
*** bnfell2descent_gen(bn
*** ^---------------------
*** in function bnfell2descent_gen: ...ratic equation = "));vec=
*** bnfqfsolve(bnf,alphac
*** ^---------------------
*** in function bnfqfsolve: ...(nb==oldnb,if(flag3,resl=
*** bnfqfsolve2(bnf,aa,bb
*** ^---------------------
*** in function bnfqfsolve2: ...;if(!length(expsolution),
*** error("bnfqfsolve2 :
*** ^---------------------
*** user error: bnfqfsolve2 : NO SOLUTION !!
An error occurred while running Simon's 2-descent program
**********************************************************************
4 items had failures:
1 of 84 in
sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field.?
1 of 18 in
sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field._scale_by_units
2 of 17 in
sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field.gens
1 of 19 in
sage.schemes.elliptic_curves.ell_number_field.EllipticCurve_number_field.global_integral_model
[806 tests, 5 failures, 120.40 s]
----------------------------------------------------------------------
sage -t --long src/sage/schemes/elliptic_curves/ell_number_field.py # 5
doctests failed
----------------------------------------------------------------------
Total time for all tests: 120.6 seconds
cpu time: 109.9 seconds
cumulative wall time: 120.4 seconds
too many failed tests, not using stored timings
Running doctests with ID 2020-03-29-20-19-42-836aaf4e.
Git branch: develop
Using
--optional=build,dochtml,dot2tex,flask,flask_autoindex,flask_babel,flask_oldsessions,flask_openid,flask_silk,fricas,gap_packages,giacpy_sage,libsemigroups,memlimit,python_openid,sage,speaklater,twisted
Doctesting 1 file.
sage -t --long src/sage/schemes/elliptic_curves/height.py
**********************************************************************
File "src/sage/schemes/elliptic_curves/height.py", line 1786, in
sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight.test_mu
Failed example:
P = E.gens(lim3=5)[0]; P
Exception raised:
Traceback (most recent call last):
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/ell_number_field.py",
line 2440, in gens
return self.gens_quadratic(**kwds)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/ell_number_field.py",
line 3897, in gens_quadratic
raise ValueError("gens_quadratic() requires the base field to be
quadratic")
ValueError: gens_quadratic() requires the base field to be quadratic
During handling of the above exception, another exception occurred:
Traceback (most recent call last):
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 681, in _run
self.compile_and_execute(example, compiler, test.globs)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 1123, in compile_and_execute
exec(compiled, globs)
File "<doctest
sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight.test_mu[3]>",
line 1, in <module>
P = E.gens(lim3=Integer(5))[Integer(0)]; P
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/ell_number_field.py",
line 2442, in gens
self.simon_two_descent(**kwds)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/ell_number_field.py",
line 329, in simon_two_descent
known_points=known_points)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/gp_simon.py",
line 144, in simon_two_descent
raise RuntimeError("\n%s\nAn error occurred while running Simon's
2-descent program"%s)
RuntimeError:
*** at top-level: ans=bnfellrank(K,[0,0,0,0,a],[])
*** ^----------------------------
*** in function bnfellrank: ...eqtheta,rnfeq,bbnf];rang=
*** bnfell2descent_gen(bn
*** ^---------------------
*** in function bnfell2descent_gen: ...und,r=nfsqrt(nf,norm(zc))
*** [1];if(DEBUGLEVEL_ell
*** ^---------------------
*** non-existent component: index > 0
An error occurred while running Simon's 2-descent program
**********************************************************************
File "src/sage/schemes/elliptic_curves/height.py", line 1788, in
sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight.test_mu
Failed example:
P.height()
Exception raised:
Traceback (most recent call last):
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 681, in _run
self.compile_and_execute(example, compiler, test.globs)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 1123, in compile_and_execute
exec(compiled, globs)
File "<doctest
sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight.test_mu[4]>",
line 1, in <module>
P.height()
NameError: name 'P' is not defined
**********************************************************************
File "src/sage/schemes/elliptic_curves/height.py", line 1790, in
sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight.test_mu
Failed example:
P.has_good_reduction()
Exception raised:
Traceback (most recent call last):
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 681, in _run
self.compile_and_execute(example, compiler, test.globs)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 1123, in compile_and_execute
exec(compiled, globs)
File "<doctest
sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight.test_mu[5]>",
line 1, in <module>
P.has_good_reduction()
NameError: name 'P' is not defined
**********************************************************************
File "src/sage/schemes/elliptic_curves/height.py", line 1812, in
sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight.test_mu
Failed example:
(P.height()/0.1).sqrt()
Exception raised:
Traceback (most recent call last):
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 681, in _run
self.compile_and_execute(example, compiler, test.globs)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 1123, in compile_and_execute
exec(compiled, globs)
File "<doctest
sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight.test_mu[8]>",
line 1, in <module>
(P.height()/RealNumber('0.1')).sqrt()
NameError: name 'P' is not defined
**********************************************************************
File "src/sage/schemes/elliptic_curves/height.py", line 1814, in
sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight.test_mu
Failed example:
P.division_points(2)
Exception raised:
Traceback (most recent call last):
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 681, in _run
self.compile_and_execute(example, compiler, test.globs)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 1123, in compile_and_execute
exec(compiled, globs)
File "<doctest
sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight.test_mu[9]>",
line 1, in <module>
P.division_points(Integer(2))
NameError: name 'P' is not defined
**********************************************************************
File "src/sage/schemes/elliptic_curves/height.py", line 1816, in
sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight.test_mu
Failed example:
P.division_points(3)
Exception raised:
Traceback (most recent call last):
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 681, in _run
self.compile_and_execute(example, compiler, test.globs)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 1123, in compile_and_execute
exec(compiled, globs)
File "<doctest
sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight.test_mu[10]>",
line 1, in <module>
P.division_points(Integer(3))
NameError: name 'P' is not defined
**********************************************************************
1 item had failures:
6 of 12 in
sage.schemes.elliptic_curves.height.EllipticCurveCanonicalHeight.test_mu
[327 tests, 6 failures, 55.99 s]
----------------------------------------------------------------------
sage -t --long src/sage/schemes/elliptic_curves/height.py # 6 doctests failed
----------------------------------------------------------------------
Total time for all tests: 56.1 seconds
cpu time: 55.9 seconds
cumulative wall time: 56.0 seconds
too many failed tests, not using stored timings
Running doctests with ID 2020-03-29-20-20-41-0cbfbb5d.
Git branch: develop
Using
--optional=build,dochtml,dot2tex,flask,flask_autoindex,flask_babel,flask_oldsessions,flask_openid,flask_silk,fricas,gap_packages,giacpy_sage,libsemigroups,memlimit,python_openid,sage,speaklater,twisted
Doctesting 1 file.
sage -t --long src/sage/rings/number_field/number_field.py
**********************************************************************
File "src/sage/rings/number_field/number_field.py", line 3426, in
sage.rings.number_field.number_field.NumberField_generic.ideals_of_bdd_norm
Failed example:
for n in d:
print(n)
for I in d[n]:
print(I)
Expected:
1
Fractional ideal (1)
2
Fractional ideal (2, 1/2*a - 1/2)
Fractional ideal (2, 1/2*a + 1/2)
3
Fractional ideal (3, 1/2*a - 1/2)
Fractional ideal (3, 1/2*a + 1/2)
4
Fractional ideal (4, 1/2*a + 3/2)
Fractional ideal (2)
Fractional ideal (4, 1/2*a + 5/2)
5
6
Fractional ideal (1/2*a - 1/2)
Fractional ideal (6, 1/2*a + 5/2)
Fractional ideal (6, 1/2*a + 7/2)
Fractional ideal (1/2*a + 1/2)
7
8
Fractional ideal (1/2*a + 3/2)
Fractional ideal (4, a - 1)
Fractional ideal (4, a + 1)
Fractional ideal (1/2*a - 3/2)
9
Fractional ideal (9, 1/2*a + 11/2)
Fractional ideal (3)
Fractional ideal (9, 1/2*a + 7/2)
10
Got:
1
Fractional ideal (1)
2
Fractional ideal (2, 1/2*a - 1/2)
Fractional ideal (2, 1/2*a + 1/2)
3
Fractional ideal (3, 1/2*a + 1/2)
Fractional ideal (3, 1/2*a - 1/2)
4
Fractional ideal (4, 1/2*a + 3/2)
Fractional ideal (2)
Fractional ideal (4, 1/2*a + 5/2)
5
6
Fractional ideal (6, 1/2*a + 7/2)
Fractional ideal (1/2*a + 1/2)
Fractional ideal (1/2*a - 1/2)
Fractional ideal (6, 1/2*a + 5/2)
7
8
Fractional ideal (1/2*a + 3/2)
Fractional ideal (4, a - 1)
Fractional ideal (4, a + 1)
Fractional ideal (1/2*a - 3/2)
9
Fractional ideal (9, 1/2*a + 7/2)
Fractional ideal (3)
Fractional ideal (9, 1/2*a + 11/2)
10
**********************************************************************
File "src/sage/rings/number_field/number_field.py", line 4547, in
sage.rings.number_field.number_field.NumberField_generic._S_class_group_and_units
Failed example:
K._S_class_group_and_units(tuple(K.primes_above(13)))
Expected:
([2/13*a^2 + 1/13*a - 677/13,
1/13*a^2 + 7/13*a - 332/13,
-1/13*a^2 + 6/13*a + 345/13,
-1,
2/13*a^2 + 1/13*a - 755/13,
1/13*a^2 - 19/13*a - 7/13],
[(Fractional ideal (11, a - 2), 2), (Fractional ideal (19, a + 7), 2)])
Got:
([2/13*a^2 + 1/13*a - 677/13,
1/13*a^2 + 7/13*a - 332/13,
-1/13*a^2 + 6/13*a + 345/13,
-1,
2/13*a^2 + 1/13*a - 755/13,
1/13*a^2 + 20/13*a - 7/13],
[(Fractional ideal (11, a - 2), 2), (Fractional ideal (19, a + 7), 2)])
**********************************************************************
File "src/sage/rings/number_field/number_field.py", line 4705, in
sage.rings.number_field.number_field.NumberField_generic.selmer_group
Failed example:
K.selmer_group(K.primes_above(13), 2)
Expected:
[2/13*a^2 + 1/13*a - 677/13,
1/13*a^2 + 7/13*a - 332/13,
-1/13*a^2 + 6/13*a + 345/13,
-1,
2/13*a^2 + 1/13*a - 755/13,
1/13*a^2 - 19/13*a - 7/13,
-1/13*a^2 + 45/13*a - 97/13,
2/13*a^2 + 40/13*a - 27/13]
Got:
[2/13*a^2 + 1/13*a - 677/13,
1/13*a^2 + 7/13*a - 332/13,
-1/13*a^2 + 6/13*a + 345/13,
-1,
2/13*a^2 + 1/13*a - 755/13,
1/13*a^2 + 20/13*a - 7/13,
1/13*a^2 - 45/13*a + 97/13,
-2/13*a^2 - 40/13*a + 27/13]
**********************************************************************
File "src/sage/rings/number_field/number_field.py", line 5357, in
sage.rings.number_field.number_field.NumberField_generic.elements_of_norm
Failed example:
K.elements_of_norm(7)
Expected:
[7/225*a^2 - 7/75*a - 42/25]
Got:
[28/225*a^2 + 77/75*a - 133/25]
**********************************************************************
File "src/sage/rings/number_field/number_field.py", line 5460, in
sage.rings.number_field.number_field.NumberField_generic.factor
Failed example:
f = L.factor(a + 1); f
Expected:
(Fractional ideal (1/2*a*b - a + 1/2)) * (Fractional ideal (-1/2*a*b - a +
1/2))
Got:
(Fractional ideal (-1/2*b + 1/2*a + 1)) * (Fractional ideal (-1/2*a*b - a +
1/2))
**********************************************************************
File "src/sage/rings/number_field/number_field.py", line 6537, in
sage.rings.number_field.number_field.NumberField_generic.uniformizer
Failed example:
[K.uniformizer(P) for P,e in factor(K.ideal(7))]
Expected:
[t^2 + 3*t + 1]
Got:
[t^2 - 4*t + 1]
**********************************************************************
File "src/sage/rings/number_field/number_field.py", line 6793, in
sage.rings.number_field.number_field.NumberField_generic.S_unit_group
Failed example:
U.log(u)
Expected:
(1, 1, 4, 1, 5)
Got:
(0, 1, 4, 1, 5)
**********************************************************************
File "src/sage/rings/number_field/number_field.py", line 7803, in
sage.rings.number_field.number_field.NumberField_absolute.optimized_representation
Failed example:
K.optimized_representation()
Expected:
(Number Field in a1 with defining polynomial x^3 - 7*x - 7,
Ring morphism:
From: Number Field in a1 with defining polynomial x^3 - 7*x - 7
To: Number Field in a with defining polynomial 7/9*x^3 + 7/3*x^2 -
56*x + 123
Defn: a1 |--> 7/225*a^2 - 7/75*a - 42/25,
Ring morphism:
From: Number Field in a with defining polynomial 7/9*x^3 + 7/3*x^2 -
56*x + 123
To: Number Field in a1 with defining polynomial x^3 - 7*x - 7
Defn: a |--> -15/7*a1^2 + 9)
Got:
(Number Field in a1 with defining polynomial x^3 - 7*x - 7, Ring morphism:
From: Number Field in a1 with defining polynomial x^3 - 7*x - 7
To: Number Field in a with defining polynomial 7/9*x^3 + 7/3*x^2 -
56*x + 123
Defn: a1 |--> 28/225*a^2 + 77/75*a - 133/25, Ring morphism:
From: Number Field in a with defining polynomial 7/9*x^3 + 7/3*x^2 -
56*x + 123
To: Number Field in a1 with defining polynomial x^3 - 7*x - 7
Defn: a |--> -60/7*a1^2 + 15*a1 + 39)
**********************************************************************
8 items had failures:
1 of 10 in
sage.rings.number_field.number_field.NumberField_absolute.optimized_representation
1 of 27 in
sage.rings.number_field.number_field.NumberField_generic.S_unit_group
1 of 9 in
sage.rings.number_field.number_field.NumberField_generic._S_class_group_and_units
1 of 6 in
sage.rings.number_field.number_field.NumberField_generic.elements_of_norm
1 of 15 in sage.rings.number_field.number_field.NumberField_generic.factor
1 of 4 in
sage.rings.number_field.number_field.NumberField_generic.ideals_of_bdd_norm
1 of 32 in
sage.rings.number_field.number_field.NumberField_generic.selmer_group
1 of 20 in
sage.rings.number_field.number_field.NumberField_generic.uniformizer
[2127 tests, 8 failures, 44.26 s]
----------------------------------------------------------------------
sage -t --long src/sage/rings/number_field/number_field.py # 8 doctests failed
----------------------------------------------------------------------
Total time for all tests: 44.7 seconds
cpu time: 43.6 seconds
cumulative wall time: 44.3 seconds
too many failed tests, not using stored timings
Running doctests with ID 2020-03-29-20-21-28-f8606bf6.
Git branch: develop
Using
--optional=build,dochtml,dot2tex,flask,flask_autoindex,flask_babel,flask_oldsessions,flask_openid,flask_silk,fricas,gap_packages,giacpy_sage,libsemigroups,memlimit,python_openid,sage,speaklater,twisted
Doctesting 1 file.
sage -t --long src/sage/schemes/elliptic_curves/gp_simon.py
**********************************************************************
File "src/sage/schemes/elliptic_curves/gp_simon.py", line 74, in
sage.schemes.elliptic_curves.gp_simon.?
Failed example:
E.simon_two_descent(lim1=2, limtriv=3)
Exception raised:
Traceback (most recent call last):
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 681, in _run
self.compile_and_execute(example, compiler, test.globs)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 1123, in compile_and_execute
exec(compiled, globs)
File "<doctest sage.schemes.elliptic_curves.gp_simon.?[9]>", line 1, in
<module>
E.simon_two_descent(lim1=Integer(2), limtriv=Integer(3))
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/ell_number_field.py",
line 329, in simon_two_descent
known_points=known_points)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/gp_simon.py",
line 144, in simon_two_descent
raise RuntimeError("\n%s\nAn error occurred while running Simon's
2-descent program"%s)
RuntimeError:
*** at top-level: ans=bnfellrank(K,[1,0,-5/2*a^3+5/2*a^2+25/2*a+
*** ^------------------------------------------
*** in function bnfellrank: ...eqtheta,rnfeq,bbnf];rang=
*** bnfell2descent_gen(bn
*** ^---------------------
*** in function bnfell2descent_gen: ...c));r=nfsqrt(nf,norm(zc))
*** [1];if(alphac==0,if(D
*** ^---------------------
*** non-existent component: index > 0
An error occurred while running Simon's 2-descent program
**********************************************************************
File "src/sage/schemes/elliptic_curves/gp_simon.py", line 81, in
sage.schemes.elliptic_curves.gp_simon.?
Failed example:
E.simon_two_descent(lim1=2, limtriv=3) # long time (about 3 s)
Exception raised:
Traceback (most recent call last):
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 681, in _run
self.compile_and_execute(example, compiler, test.globs)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 1123, in compile_and_execute
exec(compiled, globs)
File "<doctest sage.schemes.elliptic_curves.gp_simon.?[12]>", line 1, in
<module>
E.simon_two_descent(lim1=Integer(2), limtriv=Integer(3)) # long time
(about 3 s)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/ell_number_field.py",
line 329, in simon_two_descent
known_points=known_points)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/schemes/elliptic_curves/gp_simon.py",
line 144, in simon_two_descent
raise RuntimeError("\n%s\nAn error occurred while running Simon's
2-descent program"%s)
RuntimeError:
*** at top-level: ans=bnfellrank(K,[1,0,5*a^2+16,0,0],[])
*** ^-----------------------------------
*** in function bnfellrank: ...eqtheta,rnfeq,bbnf];rang=
*** bnfell2descent_gen(bn
*** ^---------------------
*** in function bnfell2descent_gen: ...ratic equation = "));vec=
*** bnfqfsolve(bnf,alphac
*** ^---------------------
*** in function bnfqfsolve: ...(nb==oldnb,if(flag3,resl=
*** bnfqfsolve2(bnf,aa,bb
*** ^---------------------
*** in function bnfqfsolve2: ...;if(!length(expsolution),
*** error("bnfqfsolve2 :
*** ^---------------------
*** user error: bnfqfsolve2 : NO SOLUTION !!
An error occurred while running Simon's 2-descent program
**********************************************************************
1 item had failures:
2 of 17 in sage.schemes.elliptic_curves.gp_simon.?
[16 tests, 2 failures, 85.08 s]
----------------------------------------------------------------------
sage -t --long src/sage/schemes/elliptic_curves/gp_simon.py # 2 doctests failed
----------------------------------------------------------------------
Total time for all tests: 85.1 seconds
cpu time: 0.2 seconds
cumulative wall time: 85.1 seconds
too many failed tests, not using stored timings
Running doctests with ID 2020-03-29-20-22-56-2097bd75.
Git branch: develop
Using
--optional=build,dochtml,dot2tex,flask,flask_autoindex,flask_babel,flask_oldsessions,flask_openid,flask_silk,fricas,gap_packages,giacpy_sage,libsemigroups,memlimit,python_openid,sage,speaklater,twisted
Doctesting 1 file.
sage -t --long src/sage/rings/number_field/number_field_ideal.py
**********************************************************************
File "src/sage/rings/number_field/number_field_ideal.py", line 1829, in
sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal.factor
Failed example:
fact = F.factor(2); fact
Expected:
(Fractional ideal (2*a^2 + 1))^2 * (Fractional ideal (-2*a^2))
Got:
(Fractional ideal (-2*a^2 - 1))^2 * (Fractional ideal (2*a^2))
**********************************************************************
File "src/sage/rings/number_field/number_field_ideal.py", line 2420, in
sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal.idealcoprime
Failed example:
lam = A.idealcoprime(B); lam
Expected:
-1/6*a + 1/6
Got:
1/6*a - 1/6
**********************************************************************
2 items had failures:
1 of 10 in
sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal.factor
1 of 7 in
sage.rings.number_field.number_field_ideal.NumberFieldFractionalIdeal.idealcoprime
[674 tests, 2 failures, 3.86 s]
----------------------------------------------------------------------
sage -t --long src/sage/rings/number_field/number_field_ideal.py # 2 doctests
failed
----------------------------------------------------------------------
Total time for all tests: 4.1 seconds
cpu time: 3.9 seconds
cumulative wall time: 3.9 seconds
too many failed tests, not using stored timings
Running doctests with ID 2020-03-29-20-23-02-fb1c7730.
Git branch: develop
Using
--optional=build,dochtml,dot2tex,flask,flask_autoindex,flask_babel,flask_oldsessions,flask_openid,flask_silk,fricas,gap_packages,giacpy_sage,libsemigroups,memlimit,python_openid,sage,speaklater,twisted
Doctesting 1 file.
sage -t --long src/sage/schemes/plane_conics/con_number_field.py
**********************************************************************
File "src/sage/schemes/plane_conics/con_number_field.py", line 137, in
sage.schemes.plane_conics.con_number_field.ProjectiveConic_number_field.?
Failed example:
C.has_rational_point(point = True, algorithm = 'rnfisnorm')
Expected:
(True, (5/3 : -1/3 : 1))
Got:
(True, (-1 : -1 : 1))
**********************************************************************
File "src/sage/schemes/plane_conics/con_number_field.py", line 171, in
sage.schemes.plane_conics.con_number_field.ProjectiveConic_number_field.?
Failed example:
[C.has_rational_point(algorithm='local', read_cache=False) for C in c] ==
[o[0] for o in d] # long time: 5 seconds
Expected:
True
Got:
False
**********************************************************************
1 item had failures:
2 of 40 in
sage.schemes.plane_conics.con_number_field.ProjectiveConic_number_field.?
[59 tests, 2 failures, 3.85 s]
----------------------------------------------------------------------
sage -t --long src/sage/schemes/plane_conics/con_number_field.py # 2 doctests
failed
----------------------------------------------------------------------
Total time for all tests: 3.9 seconds
cpu time: 3.7 seconds
cumulative wall time: 3.8 seconds
too many failed tests, not using stored timings
Running doctests with ID 2020-03-29-20-23-09-4c299195.
Git branch: develop
Using
--optional=build,dochtml,dot2tex,flask,flask_autoindex,flask_babel,flask_oldsessions,flask_openid,flask_silk,fricas,gap_packages,giacpy_sage,libsemigroups,memlimit,python_openid,sage,speaklater,twisted
Doctesting 1 file.
sage -t --long src/sage/tests/gap_packages.py
**********************************************************************
File "src/sage/tests/gap_packages.py", line 8, in sage.tests.gap_packages
Failed example:
test_packages(pkgs, only_failures=True) # optional - gap_packages
Expected:
Status Package GAP Output
+--------+---------+------------+
Got:
#I method installed for Matrix matches more than one declaration
Status Package GAP Output
+--------+---------+------------+
**********************************************************************
1 item had failures:
1 of 5 in sage.tests.gap_packages
[11 tests, 1 failure, 3.28 s]
----------------------------------------------------------------------
sage -t --long src/sage/tests/gap_packages.py # 1 doctest failed
----------------------------------------------------------------------
Total time for all tests: 3.3 seconds
cpu time: 2.9 seconds
cumulative wall time: 3.3 seconds
too many failed tests, not using stored timings
Running doctests with ID 2020-03-29-20-23-15-af22cf6a.
Git branch: develop
Using
--optional=build,dochtml,dot2tex,flask,flask_autoindex,flask_babel,flask_oldsessions,flask_openid,flask_silk,fricas,gap_packages,giacpy_sage,libsemigroups,memlimit,python_openid,sage,speaklater,twisted
Doctesting 1 file.
sage -t --long src/sage/lfunctions/dokchitser.py
**********************************************************************
File "src/sage/lfunctions/dokchitser.py", line 112, in
sage.lfunctions.dokchitser.Dokchitser
Failed example:
L.check_functional_equation()
Expected:
6.04442711160669e-18
Got:
6.11218974738703e-18
**********************************************************************
File "src/sage/lfunctions/dokchitser.py", line 671, in
sage.lfunctions.dokchitser.Dokchitser.check_functional_equation
Failed example:
L.check_functional_equation()
Expected:
-2.71050543121376e-20
Got:
-1.35525271560688e-20
**********************************************************************
2 items had failures:
1 of 39 in sage.lfunctions.dokchitser.Dokchitser
1 of 5 in sage.lfunctions.dokchitser.Dokchitser.check_functional_equation
[96 tests, 2 failures, 2.11 s]
----------------------------------------------------------------------
sage -t --long src/sage/lfunctions/dokchitser.py # 2 doctests failed
----------------------------------------------------------------------
Total time for all tests: 2.2 seconds
cpu time: 0.7 seconds
cumulative wall time: 2.1 seconds
too many failed tests, not using stored timings
Running doctests with ID 2020-03-29-20-23-20-1bdba2ea.
Git branch: develop
Using
--optional=build,dochtml,dot2tex,flask,flask_autoindex,flask_babel,flask_oldsessions,flask_openid,flask_silk,fricas,gap_packages,giacpy_sage,libsemigroups,memlimit,python_openid,sage,speaklater,twisted
Doctesting 1 file.
sage -t --long src/sage/rings/number_field/number_field_element.pyx
Timed out
**********************************************************************
Tests run before process (pid=232067) timed out:
sage: from sage.rings.number_field.number_field_element import
is_NumberFieldElement ## line 100 ##
sage: is_NumberFieldElement(2) ## line 101 ##
False
sage: k.<a> = NumberField(x^7 + 17*x + 1) ## line 103 ##
sage: is_NumberFieldElement(a+1) ## line 104 ##
True
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 106
##
0
sage: k.<a> = NumberField(x^3 - 2) ## line 116 ##
sage: R.<z> = QQ[] ## line 117 ##
sage:
sage.rings.number_field.number_field_element.__create__NumberFieldElement_version0(k,
z^2 + z + 1) ## line 118 ##
doctest:warning
File "/usr/local/sage-9/src/bin/sage-runtests", line 178, in <module>
err = DC.run()
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/control.py",
line 1227, in run
self.run_doctests()
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/control.py",
line 928, in run_doctests
self.dispatcher.dispatch()
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 2033, in dispatch
self.parallel_dispatch()
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 1925, in parallel_dispatch
w.start() # This might take some time
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 2200, in start
super(DocTestWorker, self).start()
File "/usr/local/sage-9/local/lib/python3.7/multiprocessing/process.py", line
112, in start
self._popen = self._Popen(self)
File "/usr/local/sage-9/local/lib/python3.7/multiprocessing/context.py", line
223, in _Popen
return _default_context.get_context().Process._Popen(process_obj)
File "/usr/local/sage-9/local/lib/python3.7/multiprocessing/context.py", line
277, in _Popen
return Popen(process_obj)
File "/usr/local/sage-9/local/lib/python3.7/multiprocessing/popen_fork.py",
line 20, in __init__
self._launch(process_obj)
File "/usr/local/sage-9/local/lib/python3.7/multiprocessing/popen_fork.py",
line 74, in _launch
code = process_obj._bootstrap()
File "/usr/local/sage-9/local/lib/python3.7/multiprocessing/process.py", line
297, in _bootstrap
self.run()
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 2172, in run
task(self.options, self.outtmpfile, msgpipe, self.result_queue)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 2504, in __call__
doctests, extras = self._run(runner, options, results)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 2553, in _run
result = runner.run(test)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 897, in run
return self._run(test, compileflags, out)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 681, in _run
self.compile_and_execute(example, compiler, test.globs)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 1123, in compile_and_execute
exec(compiled, globs)
File "<doctest
sage.rings.number_field.number_field_element.__create__NumberFieldElement_version0[2]>",
line 1, in <module>
sage.rings.number_field.number_field_element.__create__NumberFieldElement_version0(k,
z**Integer(2) + z + Integer(1))
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/misc/superseded.py",
line 102, in deprecation
warning(trac_number, message, DeprecationWarning, stacklevel)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/misc/superseded.py",
line 148, in warning
warn(message, warning_class, stacklevel)
File "/usr/local/sage-9/local/lib/python3.7/warnings.py", line 110, in
_showwarnmsg
msg.file, msg.line)
:
DeprecationWarning: __create__NumberFieldElement_version0() is deprecated
See https://trac.sagemath.org/25848 for details.
a^2 + a + 1
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 122
##
0
sage: k.<a> = NumberField(x^3 - 2) ## line 134 ##
sage: R.<z> = QQ[] ## line 135 ##
sage:
sage.rings.number_field.number_field_element.__create__NumberFieldElement_version1(k,
type(a), z^2 + z + 1) ## line 136 ##
doctest:warning
File "/usr/local/sage-9/src/bin/sage-runtests", line 178, in <module>
err = DC.run()
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/control.py",
line 1227, in run
self.run_doctests()
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/control.py",
line 928, in run_doctests
self.dispatcher.dispatch()
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 2033, in dispatch
self.parallel_dispatch()
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 1925, in parallel_dispatch
w.start() # This might take some time
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 2200, in start
super(DocTestWorker, self).start()
File "/usr/local/sage-9/local/lib/python3.7/multiprocessing/process.py", line
112, in start
self._popen = self._Popen(self)
File "/usr/local/sage-9/local/lib/python3.7/multiprocessing/context.py", line
223, in _Popen
return _default_context.get_context().Process._Popen(process_obj)
File "/usr/local/sage-9/local/lib/python3.7/multiprocessing/context.py", line
277, in _Popen
return Popen(process_obj)
File "/usr/local/sage-9/local/lib/python3.7/multiprocessing/popen_fork.py",
line 20, in __init__
self._launch(process_obj)
File "/usr/local/sage-9/local/lib/python3.7/multiprocessing/popen_fork.py",
line 74, in _launch
code = process_obj._bootstrap()
File "/usr/local/sage-9/local/lib/python3.7/multiprocessing/process.py", line
297, in _bootstrap
self.run()
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 2172, in run
task(self.options, self.outtmpfile, msgpipe, self.result_queue)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 2504, in __call__
doctests, extras = self._run(runner, options, results)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 2553, in _run
result = runner.run(test)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 897, in run
return self._run(test, compileflags, out)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 681, in _run
self.compile_and_execute(example, compiler, test.globs)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/doctest/forker.py",
line 1123, in compile_and_execute
exec(compiled, globs)
File "<doctest
sage.rings.number_field.number_field_element.__create__NumberFieldElement_version1[2]>",
line 1, in <module>
sage.rings.number_field.number_field_element.__create__NumberFieldElement_version1(k,
type(a), z**Integer(2) + z + Integer(1))
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/misc/superseded.py",
line 102, in deprecation
warning(trac_number, message, DeprecationWarning, stacklevel)
File
"/usr/local/sage-9/local/lib/python3.7/site-packages/sage/misc/superseded.py",
line 148, in warning
warn(message, warning_class, stacklevel)
File "/usr/local/sage-9/local/lib/python3.7/warnings.py", line 110, in
_showwarnmsg
msg.file, msg.line)
:
DeprecationWarning: __create__NumberFieldElement_version1() is deprecated
See https://trac.sagemath.org/25848 for details.
a^2 + a + 1
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 140
##
0
sage: OE.<w> = EquationOrder(x^3 - x + 2) ## line 156 ##
sage: from sage.rings.number_field.number_field_element import
_inverse_mod_generic ## line 157 ##
sage: _inverse_mod_generic(w, 13*OE) ## line 158 ##
6*w^2 - 6
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 160
##
0
sage: k.<a> = NumberField(x^3 + x + 1) ## line 190 ##
sage: a^3 ## line 191 ##
-a - 1
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 193
##
0
sage: K.<a> = NumberField(x^3 + 3) ## line 212 ##
sage: a._number_field() # indirect doctest ## line 213 ##
Number Field in a with defining polynomial x^3 + 3
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 215
##
0
sage: K.<a> = NumberField(x^3 + 3) ## line 222 ##
sage: a._number_field() ## line 223 ##
Number Field in a with defining polynomial x^3 + 3
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 225
##
0
sage: R.<x> = PolynomialRing(QQ) ## line 245 ##
sage: f = x^2 + 1 ## line 246 ##
sage: K.<a> = NumberField(f); K ## line 250 ##
Number Field in a with defining polynomial x^2 + 1
sage: a = K.gen() ## line 252 ##
sage: a^2 ## line 253 ##
-1
sage: (a+1)^2 ## line 255 ##
2*a
sage: a^2 ## line 257 ##
-1
sage: z = K(5); 1/z ## line 259 ##
1/5
sage: K.<b> = NumberField(x^3 - 2) ## line 264 ##
sage: b = K.gen() ## line 265 ##
sage: b^3 ## line 266 ##
2
sage: (b^2 + b + 1)^3 ## line 268 ##
12*b^2 + 15*b + 19
sage: K.<a> = NumberField(x^17 - 2) ## line 273 ##
sage: s = a^15 - 19*a + 3 ## line 274 ##
sage: loads(s.dumps()) == s ## line 275 ##
True
sage: K.<g> = NumberField(x^3+2,embedding=1) ## line 280 ##
sage: RR(g) ## line 281 ##
-1.25992104989487
sage: -2 < g < -1 ## line 283 ##
True
sage: g^2+1 < g + 1 ## line 285 ##
False
sage: x = polygen(QQ) ## line 292 ##
sage: K.<a> = NumberField(x^3 - 1/2*x + 1/3) ## line 293 ##
sage: b = K.random_element() ## line 294 ##
sage: K(pari(b)) == b ## line 295 ##
True
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 297
##
0
sage: C.<zeta5>=CyclotomicField(5) ## line 344 ##
sage: CyclotomicField(10)(zeta5+1) # The function _lift_cyclotomic_element
does the heavy lifting in the background ## line 345 ##
zeta10^2 + 1
sage: (zeta5+1)._lift_cyclotomic_element(CyclotomicField(10)) # There is
rarely a purpose to call this function directly ## line 347 ##
zeta10^2 + 1
sage: cf4 = CyclotomicField(4) ## line 349 ##
sage: cf1 = CyclotomicField(1) ; one = cf1.0 ## line 350 ##
sage: cf4(one) ## line 351 ##
1
sage: type(cf4(1)) ## line 353 ##
<class
'sage.rings.number_field.number_field_element_quadratic.NumberFieldElement_quadratic'>
sage: cf33 = CyclotomicField(33) ; z33 = cf33.0 ## line 355 ##
sage: cf66 = CyclotomicField(66) ; z66 = cf66.0 ## line 356 ##
sage: z33._lift_cyclotomic_element(cf66) ## line 357 ##
zeta66^2
sage: z66._lift_cyclotomic_element(cf33) ## line 359 ##
sage: cf33(z66) ## line 363 ##
-zeta33^17
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 372
##
0
sage: k.<a> = NumberField(x^3 - 17*x^2 + 1) ## line 418 ##
sage: t = a.__reduce__(); t ## line 419 ##
(<class
'sage.rings.number_field.number_field_element.NumberFieldElement_absolute'>,
(Number Field in a with defining polynomial x^3 - 17*x^2 + 1, x))
sage: t[0](*t[1]) == a ## line 422 ##
True
sage: k.<a> = NumberField(x^3 - 2) ## line 427 ##
sage: loads(dumps(a+1)) == a + 1 # indirect doctest ## line 428 ##
True
sage: L = NumberField(x^3 - x - 1,'a'); OL = L.maximal_order(); w = OL.0 ##
line 434 ##
sage: loads(dumps(w)) == w # indirect doctest ## line 435 ##
True
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 437
##
0
sage: k.<a> = NumberField(x^2 + 2) ## line 448 ##
sage: b = (2/3)*a + 3/5 ## line 449 ##
sage: b._repr_() ## line 450 ##
'2/3*a + 3/5'
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 452
##
0
sage: k.<a> = NumberField(x^2 - 2) ## line 463 ##
sage: m.<b> = NumberField(x^4 - 2) ## line 464 ##
sage: phi = k.hom([b^2]) ## line 465 ##
sage: phi(a+1) ## line 466 ##
b^2 + 1
sage: (a+1)._im_gens_(m, [b^2]) ## line 468 ##
b^2 + 1
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 471
##
0
sage: C.<zeta12> = CyclotomicField(12) ## line 492 ##
sage: latex(zeta12^4-zeta12) # indirect doctest ## line 493 ##
\zeta_{12}^{2} - \zeta_{12} - 1
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 495
##
0
sage: K.<a> = NumberField(x^3 - 2) ## line 504 ##
sage: (a**2 - a + 1)._gap_init_() ## line 505 ##
'\\$sage4^2 - \\$sage4 + 1'
sage: gap(_) ## line 507 ##
a^2-a+1
sage: F = CyclotomicField(8) ## line 510 ##
sage: F.gen() ## line 511 ##
zeta8
sage: F._gap_init_() ## line 513 ##
'CyclotomicField(8)'
sage: f = gap(F) ## line 515 ##
sage: f.GeneratorsOfDivisionRing() ## line 516 ##
[ E(8) ]
sage: p = F.gen()^2+2*F.gen()-3 ## line 518 ##
sage: p ## line 519 ##
zeta8^2 + 2*zeta8 - 3
sage: p._gap_init_() # The variable name $sage2 belongs to the gap(F) and is
somehow random ## line 521 ##
'E(8)^2 + 2*E(8) - 3'
sage: gap(p._gap_init_()) ## line 523 ##
-3+2*E(8)+E(8)^2
sage: for n in range(2,20):
K = CyclotomicField(n)
assert K(gap(K.gen())) == K.gen(), "n = {}".format(n)
assert K(gap(K.one())) == K.one(), "n = {}".format(n)
for _ in range(10):
t = K.random_element()
assert K(gap(t)) == t, "n = {} t = {}".format(n,t) ## line 528 ##
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 535
##
0
sage: F = CyclotomicField(8) ## line 559 ##
sage: F.gen()._libgap_() ## line 560 ##
E(8)
sage: libgap(F.gen()) # syntactic sugar ## line 562 ##
E(8)
sage: E8 = F.gen() ## line 564 ##
sage: libgap(E8 + 3/2*E8^2 + 100*E8^7) ## line 565 ##
E(8)+3/2*E(8)^2-100*E(8)^3
sage: type(_) ## line 567 ##
<class 'sage.libs.gap.element.GapElement_Cyclotomic'>
sage: for n in range(2,20):
K = CyclotomicField(n)
assert K(libgap(K.gen())) == K.gen(), "n = {}".format(n)
assert K(libgap(K.one())) == K.one(), "n = {}".format(n)
for _ in range(10):
t = K.random_element()
assert K(libgap(t)) == t, "n = {} t = {}".format(n,t) ## line 572 ##
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 579
##
0
sage: K.<a> = NumberField(x^3 + 2) ## line 598 ##
sage: K.zero()._pari_polynomial('x') ## line 599 ##
0
sage: K.one()._pari_polynomial() ## line 601 ##
1
sage: (a + 1)._pari_polynomial() ## line 603 ##
y + 1
sage: a._pari_polynomial('c') ## line 605 ##
c
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 607
##
0
sage: K.<a> = NumberField(x^3 + 2) ## line 628 ##
sage: K(1).__pari__() ## line 629 ##
Mod(1, y^3 + 2)
sage: (a + 2).__pari__() ## line 631 ##
Mod(y + 2, y^3 + 2)
sage: L.<b> = K.extension(x^2 + 2) ## line 633 ##
sage: (b + a).__pari__() ## line 634 ##
Mod(24/101*y^5 - 9/101*y^4 + 160/101*y^3 - 156/101*y^2 + 397/101*y + 364/101,
y^6 + 6*y^4 - 4*y^3 + 12*y^2 + 24*y + 12)
sage: k.<j> = QuadraticField(-1) ## line 639 ##
sage: j.__pari__('j') ## line 640 ##
Mod(j, j^2 + 1)
sage: pari(j) ## line 642 ##
Mod(y, y^2 + 1)
sage: P.<a> = PolynomialRing(QQ) ## line 648 ##
sage: K.<b> = NumberField(a^2 + 1) ## line 649 ##
sage: R.<x> = PolynomialRing(K) ## line 650 ##
sage: pari(b*x) ## line 651 ##
Mod(y, y^2 + 1)*x
sage: R.<theta> = PolynomialRing(QQ) ## line 657 ##
sage: K.<theta> = NumberField(theta^2 + 1) ## line 658 ##
sage: theta.__pari__('theta') ## line 659 ##
sage: theta.__pari__() ## line 663 ##
Mod(y, y^2 + 1)
sage: k.<I> = QuadraticField(-1) ## line 665 ##
sage: I.__pari__('I') ## line 666 ##
sage: pari(I) ## line 673 ##
Mod(y, y^2 + 1)
sage: I.__pari__('i') ## line 675 ##
Mod(i, i^2 + 1)
sage: I.__pari__('II') ## line 677 ##
Mod(II, II^2 + 1)
sage: y = QQ['y'].gen() ## line 683 ##
sage: k.<j> = NumberField([y^2 - 7, y^3 - 2]) ## line 684 ##
sage: pari(j) ## line 685 ##
Mod(42/5515*y^5 - 9/11030*y^4 - 196/1103*y^3 + 273/5515*y^2 + 10281/5515*y +
4459/11030, y^6 - 21*y^4 + 4*y^3 + 147*y^2 + 84*y - 339)
sage: j^2 ## line 687 ##
7
sage: pari(j)^2 ## line 689 ##
Mod(7, y^6 - 21*y^4 + 4*y^3 + 147*y^2 + 84*y - 339)
sage: (j^2).__pari__('x') ## line 691 ##
Mod(7, x^6 - 21*x^4 + 4*x^3 + 147*x^2 + 84*x - 339)
sage: x = polygen(QQ) ## line 696 ##
sage: K.<a> = NumberField(x^2 + 2) ## line 697 ##
sage: L.<b> = NumberField(polygen(K)^2 + a) ## line 698 ##
sage: M.<c> = NumberField(polygen(L)^3 + b) ## line 699 ##
sage: L(b).__pari__() ## line 700 ##
Mod(y, y^4 + 2)
sage: M(b).__pari__('c') ## line 702 ##
Mod(-c^3, c^12 + 2)
sage: c.__pari__('c') ## line 704 ##
Mod(c, c^12 + 2)
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 706
##
0
sage: K.<a> = NumberField(x^5 - x - 1) ## line 725 ##
sage: ((1 + 1/3*a)^4)._pari_init_() ## line 726 ##
'Mod(1/81*y^4 + 4/27*y^3 + 2/3*y^2 + 4/3*y + 1, y^5 - y - 1)'
sage: ((1 + 1/3*a)^4)._pari_init_('a') ## line 728 ##
'Mod(1/81*a^4 + 4/27*a^3 + 2/3*a^2 + 4/3*a + 1, a^5 - a - 1)'
sage: K.<theta> = NumberField(x^5 - x - 1) ## line 735 ##
sage: b = (1/2 - 2/3*theta)^3; b ## line 736 ##
-8/27*theta^3 + 2/3*theta^2 - 1/2*theta + 1/8
sage: b._pari_init_('theta') ## line 738 ##
sage: pari(b) ## line 746 ##
Mod(-8/27*y^3 + 2/3*y^2 - 1/2*y + 1/8, y^5 - y - 1)
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 748
##
0
sage: m.<b> = NumberField(x^4 - 1789) ## line 761 ##
sage: c = (2/3-4/5*b)^3; c ## line 762 ##
-64/125*b^3 + 32/25*b^2 - 16/15*b + 8/27
sage: c[0] ## line 764 ##
8/27
sage: c[2] ## line 766 ##
32/25
sage: c[3] ## line 768 ##
-64/125
sage: c[-1] ## line 773 ##
sage: c[4] ## line 777 ##
sage: list(c) ## line 784 ##
[8/27, -16/15, 32/25, -64/125]
sage: m(list(c)) == c ## line 786 ##
True
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 788
##
0
sage: K.<a> = NumberField(x^3 - 3*x + 8) ## line 797 ##
sage: a + 1 > a # indirect doctest ## line 798 ##
True
sage: a + 1 < a # indirect doctest ## line 800 ##
False
sage: x = polygen(ZZ) ## line 805 ##
sage: K.<cbrt2> = NumberField(x^3 - 2, embedding=AA(2).nth_root(3)) ## line 806
##
sage: 6064/4813 < cbrt2 < 90325/71691 ## line 807 ##
True
sage: c20 = 3085094589/2448641198 ## line 810 ##
sage: c21 = 4433870912/3519165675 ## line 811 ##
sage: c20 < cbrt2 < c21 ## line 812 ##
True
sage: c20 >= cbrt2 or cbrt2 <= c20 or c21 <= cbrt2 or cbrt2 >= c21 ## line 814
##
False
sage: c40 = 927318063212049190871/736012834525960091591 ## line 817 ##
sage: c41 = 112707779922292658185265/89456224206823838627034 ## line 818 ##
sage: c40 < cbrt2 < c41 ## line 819 ##
True
sage: c40 >= cbrt2 or cbrt2 <= c40 or c41 <= cbrt2 or cbrt2 >= c41 ## line 821
##
False
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 823
##
0
sage: K.<a> = NumberField(x^3-2) ## line 899 ##
sage: a._random_element() ## line 900 ##
-1/2*a^2 - 4
sage: K.<a> = NumberField(x^2-5) ## line 902 ##
sage: a._random_element() ## line 903 ##
-2*a - 1
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 905
##
0
sage: k.<a> = NumberField(x^3 - 2) ## line 995 ##
sage: abs(a) ## line 996 ##
1.25992104989487
sage: a.abs() ## line 998 ##
1.25992104989487
sage: abs(a)^3 ## line 1000 ##
2.00000000000000
sage: a.abs()^3 ## line 1002 ##
2.00000000000000
sage: a.abs(prec=128) ## line 1004 ##
1.2599210498948731647672106072782283506
sage: k.<cbrt2> = NumberField(x^3 - 2, embedding=1.26) ## line 1010 ##
sage: abs(cbrt2) ## line 1011 ##
cbrt2
sage: cbrt2.abs() ## line 1013 ##
cbrt2
sage: abs(cbrt2)^3 ## line 1015 ##
2
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 1017
##
0
sage: K.<a> = NumberField(x^3 - 2, embedding=AA(2)**(1/3)) ## line 1028 ##
sage: K.zero().sign() ## line 1029 ##
0
sage: K.one().sign() ## line 1031 ##
1
sage: (-K.one()).sign() ## line 1033 ##
-1
sage: a.sign() ## line 1035 ##
1
sage: (a - 234917380309015/186454048314072).sign() ## line 1037 ##
1
sage: (a - 3741049304830488/2969272800976409).sign() ## line 1039 ##
-1
sage: L.<b> = NumberField(x^4 - x - 1) ## line 1045 ##
sage: b.sign() ## line 1046 ##
sage: L(-33/125).sign() ## line 1051 ##
-1
sage: L.zero().sign() ## line 1053 ##
0
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 1055
##
0
sage: x = polygen(ZZ) ## line 1078 ##
sage: p = x**7 - 5*x**2 + x + 1 ## line 1079 ##
sage: a_AA = AA.polynomial_root(p, RIF(1,2)) ## line 1080 ##
sage: K.<a> = NumberField(p, embedding=a_AA) ## line 1081 ##
sage: b = a**5 + a/2 - 1/7 ## line 1082 ##
sage: RR(b) ## line 1083 ##
4.13444473767055
sage: b.floor() ## line 1085 ##
4
sage: K(125/7).floor() ## line 1088 ##
17
sage: c = b - 4772404052447/1154303505127 + 2 ## line 1093 ##
sage: c.floor() ## line 1094 ##
1
sage: RIF(c).unique_floor() ## line 1096 ##
sage: p = x**5 - 3 ## line 1104 ##
sage: K.<a> = NumberField(p) ## line 1105 ##
sage: K(2/3).floor() ## line 1106 ##
0
sage: a.floor() ## line 1108 ##
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 1112
##
0
sage: x = polygen(ZZ) ## line 1183 ##
sage: p = x**7 - 5*x**2 + x + 1 ## line 1184 ##
sage: a_AA = AA.polynomial_root(p, RIF(1,2)) ## line 1185 ##
sage: K.<a> = NumberField(p, embedding=a_AA) ## line 1186 ##
sage: b = a**5 + a/2 - 1/7 ## line 1187 ##
sage: RR(b) ## line 1188 ##
4.13444473767055
sage: b.ceil() ## line 1190 ##
5
sage: c = b - 5065701199253/1225243417356 + 2 ## line 1195 ##
sage: c.ceil() ## line 1196 ##
3
sage: RIF(c).unique_ceil() ## line 1198 ##
sage: p = x**5 - 3 ## line 1206 ##
sage: K.<a> = NumberField(p) ## line 1207 ##
sage: K(2/3).ceil() ## line 1208 ##
1
sage: a.ceil() ## line 1210 ##
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 1214
##
0
sage: x = polygen(ZZ) ## line 1239 ##
sage: p = x**7 - 5*x**2 + x + 1 ## line 1240 ##
sage: a_AA = AA.polynomial_root(p, RIF(1,2)) ## line 1241 ##
sage: K.<a> = NumberField(p, embedding=a_AA) ## line 1242 ##
sage: b = a**5 + a/2 - 1/7 ## line 1243 ##
sage: RR(b) ## line 1244 ##
4.13444473767055
sage: b.round() ## line 1246 ##
4
sage: (-b).round() ## line 1248 ##
-4
sage: (b+1/2).round() ## line 1250 ##
5
sage: (-b-1/2).round() ## line 1252 ##
-5
sage: c = b - 5678322907931/1225243417356 + 3 ## line 1257 ##
sage: c.round() ## line 1258 ##
3
sage: RIF(c).unique_round() ## line 1260 ##
sage: p = x**5 - 3 ## line 1268 ##
sage: K.<a> = NumberField(p) ## line 1269 ##
sage: [K(k/3).round() for k in range(-3,4)] ## line 1270 ##
[-1, -1, 0, 0, 0, 1, 1]
sage: a.round() ## line 1272 ##
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 1276
##
0
sage: z = CyclotomicField(7).gen() ## line 1311 ##
sage: abs(z) ## line 1312 ##
1.00000000000000
sage: abs(z^2 + 17*z - 3) ## line 1314 ##
16.0604426799931
sage: K.<a> = NumberField(x^3+17) ## line 1316 ##
sage: abs(a) ## line 1317 ##
2.57128159065824
sage: a.abs(prec=100) ## line 1319 ##
2.5712815906582353554531872087
sage: a.abs(prec=100,i=1) ## line 1321 ##
2.5712815906582353554531872087
sage: a.abs(100, 2) ## line 1323 ##
2.5712815906582353554531872087
sage: K.<b> = NumberField(x^2-2) ## line 1328 ##
sage: a = 1 + b ## line 1329 ##
sage: a.abs(i=0) ## line 1330 ##
0.414213562373095
sage: a.abs(i=1) ## line 1332 ##
2.41421356237309
sage: x = polygen(ZZ) ## line 1337 ##
sage: f = x^3 - x - 1 ## line 1338 ##
sage: beta = f.complex_roots()[0]; beta ## line 1339 ##
1.32471795724475
sage: K.<b> = NumberField(f, embedding=beta) ## line 1341 ##
sage: b.abs() ## line 1342 ##
1.32471795724475
sage: x = polygen(ZZ) ## line 1348 ##
sage: f = x^3 - x - 1 ## line 1349 ##
sage: K.<b> = NumberField(f, embedding=1.3) ## line 1350 ##
sage: b.abs() ## line 1351 ##
b
sage: b.abs(i=2) ## line 1357 ##
1.32471795724475
sage: b.abs(prec=53) ## line 1363 ##
1.32471795724475
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 1366
##
0
sage: K.<a> = NumberField(x^2+5) ## line 1403 ##
sage: [1/K(2).abs_non_arch(P) for P in K.primes_above(2)] ## line 1404 ##
[2.00000000000000]
sage: [1/K(3).abs_non_arch(P) for P in K.primes_above(3)] ## line 1406 ##
[3.00000000000000, 3.00000000000000]
sage: [1/K(5).abs_non_arch(P) for P in K.primes_above(5)] ## line 1408 ##
[5.00000000000000]
sage: L.<b> = K.extension(x^2-5) ## line 1413 ##
sage: [b.abs_non_arch(P) for P in L.primes_above(b)] ## line 1414 ##
[0.447213595499958, 0.447213595499958]
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 1416
##
0
sage: y = polygen(QQ,'y'); K.<beta> = NumberField(y^3 - 2); K ## line 1446 ##
Number Field in beta with defining polynomial y^3 - 2
sage: alpha = beta^2 + beta + 1 ## line 1448 ##
sage: c = alpha.coordinates_in_terms_of_powers(); c ## line 1449 ##
Coordinate function that writes elements in terms of the powers of beta^2 +
beta + 1
sage: c(beta) ## line 1451 ##
[-2, -3, 1]
sage: c(alpha) ## line 1453 ##
[0, 1, 0]
sage: c((1+beta)^5) ## line 1455 ##
[3, 3, 3]
sage: c((1+beta)^10) ## line 1457 ##
[54, 162, 189]
sage: k.<a> = NumberField(x^6 - 5) ## line 1465 ##
sage: alpha = a^3 ## line 1466 ##
sage: c = alpha.coordinates_in_terms_of_powers() ## line 1467 ##
sage: c((2/3)*a^3 - 5/3) ## line 1468 ##
[-5/3, 2/3]
sage: c ## line 1470 ##
Coordinate function that writes elements in terms of the powers of a^3
sage: c(a) ## line 1472 ##
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 1476
##
0
sage: k.<a> = NumberField(x^3 - 2) ## line 1501 ##
sage: a.complex_embeddings() ## line 1502 ##
[-0.629960524947437 - 1.09112363597172*I,
-0.629960524947437 + 1.09112363597172*I,
1.25992104989487]
sage: a.complex_embeddings(10) ## line 1504 ##
[-0.63 - 1.1*I, -0.63 + 1.1*I, 1.3]
sage: a.complex_embeddings(100) ## line 1506 ##
[-0.62996052494743658238360530364 - 1.0911236359717214035600726142*I,
-0.62996052494743658238360530364 + 1.0911236359717214035600726142*I,
1.2599210498948731647672106073]
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 1508
##
0
sage: k.<a> = NumberField(x^3 - 2) ## line 1519 ##
sage: a.complex_embedding() ## line 1520 ##
-0.629960524947437 - 1.09112363597172*I
sage: a.complex_embedding(10) ## line 1522 ##
-0.63 - 1.1*I
sage: a.complex_embedding(100) ## line 1524 ##
-0.62996052494743658238360530364 - 1.0911236359717214035600726142*I
sage: a.complex_embedding(20, 1) ## line 1526 ##
-0.62996 + 1.0911*I
sage: a.complex_embedding(20, 2) ## line 1528 ##
1.2599
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 1530
##
0
sage: K.<a> = NumberField(x^2 - x - 1) ## line 1539 ##
sage: OK = K.ring_of_integers() ## line 1540 ##
sage: OK(a).is_unit() ## line 1541 ##
True
sage: OK(13).is_unit() ## line 1543 ##
False
sage: K(13).is_unit() ## line 1545 ##
True
sage: K.<a,b> = NumberField([x^2 - 3, x^4 + x^3 + x^2 + x + 1]) ## line 1550 ##
sage: OK = K.ring_of_integers() ## line 1551 ##
sage: OK(b).is_unit() ## line 1552 ##
True
sage: OK(a).is_unit() ## line 1554 ##
False
sage: a.is_unit() ## line 1556 ##
True
sage: sig_on_count() # check sig_on/off pairings (virtual doctest) ## line 1558
##
0
sage: K.<beta> = NumberField(x^3+5) ## line 1591 ##
sage: Q.<X> = K[] ## line 1592 ##
sage: L = K.extension(X^2+X+beta, 'gamma') ## line 1593 ##
sage: (beta/2).is_norm(L) ## line 1594 ##
False
sage: beta.is_norm(L) ## line 1596 ##
True
sage: K.<a, b> = NumberField([x^2 - 2, x^2 - 3]) ## line 1601 ##
sage: L.<c> = K.extension(x^2 - 5) ## line 1602 ##
sage: (2*a*b).is_norm(L) ## line 1603 ##
True
sage: _, v = (2*b*a).is_norm(L, element=True) ## line 1605 ##
sage: v.norm(K) == 2*a*b ## line 1606 ##
True
sage: K.<a> = NumberField(x^2 + x + 1) ## line 1611 ##
sage: Q.<X> = K[] ## line 1612 ##
sage: L.<b> = NumberField(X^4 + a + 2) ## line 1613 ##
sage: (a/4).is_norm(L) ## line 1614 ##
True
sage: (a/2).is_norm(L) ## line 1616 ##
sage: (a/2).is_norm(L, proof=False) ## line 1620 ##
False
sage: K.<a> = NumberField(x^3 + x + 1) ## line 1623 ##
sage: Q.<X> = K[] ## line 1624 ##
sage: L.<b> = NumberField(X^4 + a) ## line 1625 ##
sage: t = (-a).is_norm(L, element=True); t ## line 1626 ##
------------------------------------------------------------------------
/usr/local/sage-9/local/lib/python3.7/site-packages/cysignals/signals.cpython-37m-x86_64-linux-gnu.so(+0x9178)[0x7f36edf1a178]
/usr/local/sage-9/local/lib/python3.7/site-packages/cysignals/signals.cpython-37m-x86_64-linux-gnu.so(+0x9219)[0x7f36edf1a219]
/usr/local/sage-9/local/lib/python3.7/site-packages/cysignals/signals.cpython-37m-x86_64-linux-gnu.so(+0xcbaa)[0x7f36edf1dbaa]
/lib/x86_64-linux-gnu/libc.so.6(+0x3b7e0)[0x7f36ef1bb7e0]
/usr/lib/x86_64-linux-gnu/libgmp.so.10(__gmpn_sub_n+0x67)[0x7f36ee3b1f97]
------------------------------------------------------------------------
Attaching gdb to process id 232067.
Cannot find gdb installed
GDB is not installed.
Install gdb for enhanced tracebacks.
------------------------------------------------------------------------
**********************************************************************
----------------------------------------------------------------------
sage -t --long src/sage/rings/number_field/number_field_element.pyx # Timed out
----------------------------------------------------------------------
Total time for all tests: 1800.1 seconds
cpu time: 0.0 seconds
cumulative wall time: 0.0 seconds
too many failed tests, not using stored timings
Running doctests with ID 2020-03-29-20-53-22-eb3c5507.
Git branch: develop
Using
--optional=build,dochtml,dot2tex,flask,flask_autoindex,flask_babel,flask_oldsessions,flask_openid,flask_silk,fricas,gap_packages,giacpy_sage,libsemigroups,memlimit,python_openid,sage,speaklater,twisted
Doctesting 1 file.
sage -t --long src/sage/numerical/backends/glpk_backend.pyx
**********************************************************************
File "src/sage/numerical/backends/glpk_backend.pyx", line 2287, in
sage.numerical.backends.glpk_backend.GLPKBackend.print_ranges
Failed example:
p.print_ranges()
Expected:
glp_print_ranges: optimal basic solution required
1
Got:
1
**********************************************************************
1 item had failures:
1 of 13 in sage.numerical.backends.glpk_backend.GLPKBackend.print_ranges
[554 tests, 1 failure, 3.87 s]
----------------------------------------------------------------------
sage -t --long src/sage/numerical/backends/glpk_backend.pyx # 1 doctest failed
----------------------------------------------------------------------
Total time for all tests: 4.0 seconds
cpu time: 3.8 seconds
cumulative wall time: 3.9 seconds
too many failed tests, not using stored timings
Running doctests with ID 2020-03-29-20-53-29-a121a400.
Git branch: develop
Using
--optional=build,dochtml,dot2tex,flask,flask_autoindex,flask_babel,flask_oldsessions,flask_openid,flask_silk,fricas,gap_packages,giacpy_sage,libsemigroups,memlimit,python_openid,sage,speaklater,twisted
Doctesting 1 file.
sage -t --long src/sage/rings/polynomial/polynomial_quotient_ring.py
**********************************************************************
File "src/sage/rings/polynomial/polynomial_quotient_ring.py", line 1284, in
sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic.S_class_group
Failed example:
S.S_class_group([])
Expected:
[((1/4*xbar^2 + 31/4,
(-1/8*a + 1/8)*xbar^2 - 31/8*a + 31/8,
1/16*xbar^3 + 1/16*xbar^2 + 31/16*xbar + 31/16,
-1/16*a*xbar^3 + (1/16*a + 1/8)*xbar^2 - 31/16*a*xbar + 31/16*a + 31/8),
6),
((-1/4*xbar^2 - 23/4,
(1/8*a - 1/8)*xbar^2 + 23/8*a - 23/8,
-1/16*xbar^3 - 1/16*xbar^2 - 23/16*xbar - 23/16,
1/16*a*xbar^3 + (-1/16*a - 1/8)*xbar^2 + 23/16*a*xbar - 23/16*a - 23/8),
6),
((-5/4*xbar^2 - 115/4,
1/4*a*xbar^2 + 23/4*a,
-1/16*xbar^3 - 7/16*xbar^2 - 23/16*xbar - 161/16,
1/16*a*xbar^3 - 1/16*a*xbar^2 + 23/16*a*xbar - 23/16*a),
2)]
Got:
[((1/4*xbar^2 + 31/4,
(-1/8*a + 1/8)*xbar^2 - 31/8*a + 31/8,
1/16*xbar^3 + 1/16*xbar^2 + 31/16*xbar + 31/16,
-1/16*a*xbar^3 + (1/16*a + 1/8)*xbar^2 - 31/16*a*xbar + 31/16*a + 31/8),
6),
((-1/4*xbar^2 - 23/4,
(1/8*a - 1/8)*xbar^2 + 23/8*a - 23/8,
-1/16*xbar^3 - 1/16*xbar^2 - 23/16*xbar - 23/16,
1/16*a*xbar^3 + (-1/16*a - 1/8)*xbar^2 + 23/16*a*xbar - 23/16*a - 23/8),
6),
((-5/4*xbar^2 - 115/4,
(1/8*a - 5/8)*xbar^2 + 23/8*a - 115/8,
-1/16*xbar^3 - 17/16*xbar^2 - 23/16*xbar - 391/16,
1/16*a*xbar^3 + (-1/16*a - 5/8)*xbar^2 + 23/16*a*xbar - 23/16*a - 115/8),
2)]
**********************************************************************
File "src/sage/rings/polynomial/polynomial_quotient_ring.py", line 1416, in
sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic.class_group
Failed example:
S.class_group()
Expected:
[((1/4*xbar^2 + 31/4,
(-1/8*a + 1/8)*xbar^2 - 31/8*a + 31/8,
1/16*xbar^3 + 1/16*xbar^2 + 31/16*xbar + 31/16,
-1/16*a*xbar^3 + (1/16*a + 1/8)*xbar^2 - 31/16*a*xbar + 31/16*a + 31/8),
6),
((-1/4*xbar^2 - 23/4,
(1/8*a - 1/8)*xbar^2 + 23/8*a - 23/8,
-1/16*xbar^3 - 1/16*xbar^2 - 23/16*xbar - 23/16,
1/16*a*xbar^3 + (-1/16*a - 1/8)*xbar^2 + 23/16*a*xbar - 23/16*a - 23/8),
6),
((-5/4*xbar^2 - 115/4,
1/4*a*xbar^2 + 23/4*a,
-1/16*xbar^3 - 7/16*xbar^2 - 23/16*xbar - 161/16,
1/16*a*xbar^3 - 1/16*a*xbar^2 + 23/16*a*xbar - 23/16*a),
2)]
Got:
[((1/4*xbar^2 + 31/4,
(-1/8*a + 1/8)*xbar^2 - 31/8*a + 31/8,
1/16*xbar^3 + 1/16*xbar^2 + 31/16*xbar + 31/16,
-1/16*a*xbar^3 + (1/16*a + 1/8)*xbar^2 - 31/16*a*xbar + 31/16*a + 31/8),
6),
((-1/4*xbar^2 - 23/4,
(1/8*a - 1/8)*xbar^2 + 23/8*a - 23/8,
-1/16*xbar^3 - 1/16*xbar^2 - 23/16*xbar - 23/16,
1/16*a*xbar^3 + (-1/16*a - 1/8)*xbar^2 + 23/16*a*xbar - 23/16*a - 23/8),
6),
((-5/4*xbar^2 - 115/4,
(1/8*a - 5/8)*xbar^2 + 23/8*a - 115/8,
-1/16*xbar^3 - 17/16*xbar^2 - 23/16*xbar - 391/16,
1/16*a*xbar^3 + (-1/16*a - 5/8)*xbar^2 + 23/16*a*xbar - 23/16*a - 115/8),
2)]
**********************************************************************
2 items had failures:
1 of 22 in
sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic.S_class_group
1 of 26 in
sage.rings.polynomial.polynomial_quotient_ring.PolynomialQuotientRing_generic.class_group
[482 tests, 2 failures, 1.60 s]
----------------------------------------------------------------------
sage -t --long src/sage/rings/polynomial/polynomial_quotient_ring.py # 2
doctests failed
----------------------------------------------------------------------
Total time for all tests: 1.7 seconds
cpu time: 1.6 seconds
cumulative wall time: 1.6 seconds
too many failed tests, not using stored timings
Running doctests with ID 2020-03-29-20-53-33-a4bddaac.
Git branch: develop
Using
--optional=build,dochtml,dot2tex,flask,flask_autoindex,flask_babel,flask_oldsessions,flask_openid,flask_silk,fricas,gap_packages,giacpy_sage,libsemigroups,memlimit,python_openid,sage,speaklater,twisted
Doctesting 1 file.
sage -t --long src/sage/lfunctions/pari.py
**********************************************************************
File "src/sage/lfunctions/pari.py", line 425, in sage.lfunctions.pari.LFunction
Failed example:
L.check_functional_equation()
Expected:
1.08420217248550e-19
Got:
4.33680868994202e-19
**********************************************************************
1 item had failures:
1 of 28 in sage.lfunctions.pari.LFunction
[162 tests, 1 failure, 1.11 s]
----------------------------------------------------------------------
sage -t --long src/sage/lfunctions/pari.py # 1 doctest failed
----------------------------------------------------------------------
Total time for all tests: 6.1 seconds
cpu time: 1.1 seconds
cumulative wall time: 1.1 seconds
too many failed tests, not using stored timings
Running doctests with ID 2020-03-29-20-53-41-6de51a85.
Git branch: develop
Using
--optional=build,dochtml,dot2tex,flask,flask_autoindex,flask_babel,flask_oldsessions,flask_openid,flask_silk,fricas,gap_packages,giacpy_sage,libsemigroups,memlimit,python_openid,sage,speaklater,twisted
Doctesting 1 file.
sage -t --long src/sage/rings/number_field/unit_group.py
**********************************************************************
File "src/sage/rings/number_field/unit_group.py", line 281, in
sage.rings.number_field.unit_group.UnitGroup.__init__
Failed example:
UnitGroup(K, S=tuple(K.primes_above(7)))
Expected:
S-unit group with structure C2 x Z x Z x Z of Number Field in a with
defining polynomial 7/9*x^3 + 7/3*x^2 - 56*x + 123 with S = (Fractional ideal
(7/225*a^2 - 7/75*a - 42/25),)
Got:
S-unit group with structure C2 x Z x Z x Z of Number Field in a with
defining polynomial 7/9*x^3 + 7/3*x^2 - 56*x + 123 with S = (Fractional ideal
(28/225*a^2 + 77/75*a - 133/25),)
**********************************************************************
1 item had failures:
1 of 23 in sage.rings.number_field.unit_group.UnitGroup.__init__
[176 tests, 1 failure, 0.63 s]
----------------------------------------------------------------------
sage -t --long src/sage/rings/number_field/unit_group.py # 1 doctest failed
----------------------------------------------------------------------
Total time for all tests: 0.7 seconds
cpu time: 0.6 seconds
cumulative wall time: 0.6 seconds
too many failed tests, not using stored timings
Running doctests with ID 2020-03-29-20-53-44-1919f06b.
Git branch: develop
Using
--optional=build,dochtml,dot2tex,flask,flask_autoindex,flask_babel,flask_oldsessions,flask_openid,flask_silk,fricas,gap_packages,giacpy_sage,libsemigroups,memlimit,python_openid,sage,speaklater,twisted
Doctesting 1 file.
sage -t --long src/sage/libs/glpk/error.pyx
**********************************************************************
File "src/sage/libs/glpk/error.pyx", line 100, in
sage.libs.glpk.error.setup_glpk_error_handler
Failed example:
res = p.solve()
Expected:
0: obj = ...
Got:
<BLANKLINE>
**********************************************************************
1 item had failures:
1 of 11 in sage.libs.glpk.error.setup_glpk_error_handler
[12 tests, 1 failure, 0.91 s]
----------------------------------------------------------------------
sage -t --long src/sage/libs/glpk/error.pyx # 1 doctest failed
----------------------------------------------------------------------
Total time for all tests: 0.9 seconds
cpu time: 0.5 seconds
cumulative wall time: 0.9 seconds
too many failed tests, not using stored timings
Running doctests with ID 2020-03-29-20-53-48-888c54ac.
Git branch: develop
Using
--optional=build,dochtml,dot2tex,flask,flask_autoindex,flask_babel,flask_oldsessions,flask_openid,flask_silk,fricas,gap_packages,giacpy_sage,libsemigroups,memlimit,python_openid,sage,speaklater,twisted
Doctesting 1 file.
sage -t --long src/sage/interfaces/tachyon.py
**********************************************************************
File "src/sage/interfaces/tachyon.py", line 175, in
sage.interfaces.tachyon.TachyonRT.usage
Failed example:
t.usage(use_pager=False)
Expected:
Tachyon Parallel/Multiprocessor Ray Tracer Version...
Got:
Usage: tachyon modelfile [options]
<BLANKLINE>
Valid options and accepted formats are as follows (** denotes default
behaviour).
<BLANKLINE>
Model file formats supported:
filename.dat the model files originated with this package
filaname.ac AC3D model files
filename.nff the NFF scene format used by Eric Haines' SPD
<BLANKLINE>
<BLANKLINE>
Message Options:
+V verbose messages on
-V verbose messages off **
<BLANKLINE>
Speed Tuning Options:
-raydepth xxx maximum ray recursion depth
-numthreads xxx (** default is auto-determined)
-nobounding
-boundthresh xxx (** default threshold is 16)
<BLANKLINE>
Shading Options:
-fullshade best quality rendering (and slowest) **
-mediumshade good quality rendering, but no shadows
-lowshade low quality rendering, preview (and fast)
-lowestshade worst quality rendering, preview (and fastest)
<BLANKLINE>
Lighting Options:
-rescale_lights xxx rescale light intensity values by
specified factor (performed before other
lighting overrides take effect)
-auto_skylight xxx force use of ambient occlusion lighting,
auto-rescaling direct light sources to
compensate for ambient occlusion factor
(use value 0.7 as a good starting point)
-add_skylight xxx force use of ambient occlusion lighting,
manually-rescaling direct light sources to
compensate for ambient occlusion factor
-skylight_samples xxx number of sample rays to shoot
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Specular Highlight Shading Options:
-shade_phong Phong specular highlights
-shade_blinn Blinn's specular highlights **
-shade_blinn_fast fast approximation to Blinn's highlights
-shade_nullphong disable specular highlights
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Transparency Shading Options:
-trans_max_surfaces xxx limit the number of transparent
surfaces shown to the number specified
-trans_orig original implementation **
-trans_raster3d Raster3D angle-based opacity modulation
-trans_vmd opacity post-multiply used by VMD
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Transparent Surface Shadowing Options:
-shadow_filter_on transparent objects cast shadows **
-shadow_filter_off transparent objects do not cast shadows
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Fog Shading Options:
-fog_radial radial fog implementation **
-fog_vmd planar OpenGL-like fog used by VMD
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Surface Normal/Winding Order Fixup Mode:
-normalfixup [off|flip|guess] (** off is default)
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Antialiasing Options:
-aasamples xxx maximum supersamples taken per pixel
(** default is 0, or scene file determined)
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Output Options:
-res Xres Yres override scene-defined output image size
-o outfile.tga set output file name
-clamp clamp pixel values to [0 to 1) **
-normalize normalize pixel values to [0 to 1)
-gamma val normalize apply gamma correction
-format BMP 24-bit Windows BMP (uncompressed)
-format JPEG 24-bit JPEG (compressed, but lossy)
-format PNG 24-bit PNG (compressed, lossless)
-format PPM 24-bit PPM (uncompressed)
-format PPM48 48-bit PPM (uncompressed)
-format PSD48 48-bit PSD (uncompressed)
-format RGB 24-bit SGI RGB (uncompressed)
-format TARGA 24-bit Targa (uncompressed) **
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Animation Related Options:
-camfile filename.cam animate using file of camera positions
-nosave disable writing of output frames to disk
(only used for doing real-time rendering)
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Interactive Spaceball/SpaceNavigator Control:
-spaceball enable Spaceball/SpaceNavigator camera flight
-spaceballport serialportdevicename (only for serial devices)
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Getting Help:
-help display help message and exit
-version display version string and exit
-banner display banner and exit
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**********************************************************************
1 item had failures:
1 of 4 in sage.interfaces.tachyon.TachyonRT.usage
[21 tests, 1 failure, 0.84 s]
----------------------------------------------------------------------
sage -t --long src/sage/interfaces/tachyon.py # 1 doctest failed
----------------------------------------------------------------------
Total time for all tests: 0.9 seconds
cpu time: 0.8 seconds
cumulative wall time: 0.8 seconds
