Operating system: See Attached file.
I installed Sage using conda giving the following commands during the
session as per the instructions on the sage website:
conda update --all
anaconda-navigator
conda create -n sage sage
conda activate sage
sage
I then removed the conda environment and reinstalled it following the above
method. The complete re-instillation session record is detailed in the
file CrashReproduction.txt.
Also included is the SystemInfo as reported by the Linux Mint app.
There are two crash reports, Sage_crash_report_1st.txt being generated from
the original installation and Sage_crash_report.txt from the reinstallation
I have previously installed sage successfully as a binary package. This I
removed before trying it as a conda package.
Hopefully this will be of some help.
Best regards
Douglas
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System: Host: douglas-linux Kernel: 4.15.0-45-generic x86_64 bits: 64
compiler: gcc v: 7.3.0
Desktop: Cinnamon 4.0.9 wm: muffin dm: LightDM Distro: Linux Mint
19.1 Tessa
base: Ubuntu 18.04 bionic
Machine: Type: Desktop System: Gigabyte product: N/A v: N/A serial: <filter>
Chassis: type: 3
serial: <filter>
Mobo: Gigabyte model: H61MA-D2V v: x.x serial: <filter> UEFI:
American Megatrends v: F6
date: 04/17/2013
CPU: Topology: Quad Core model: Intel Core i5-3450 bits: 64 type: MCP
arch: Ivy Bridge
rev: 9 L2 cache: 6144 KiB
flags: lm nx pae sse sse2 sse3 sse4_1 sse4_2 ssse3 vmx bogomips:
24742
Speed: 1638 MHz min/max: 1600/3500 MHz Core speeds (MHz): 1: 1596 2:
1596 3: 1596
4: 1596
Graphics: Device-1: NVIDIA GF108 [GeForce GT 430] vendor: CardExpert driver:
nvidia v: 390.77
bus ID: 01:00.0 chip ID: 10de:0de1
Display: x11 server: X.Org 1.19.6 driver: nvidia
unloaded: fbdev,modesetting,nouveau,vesa resolution: 1920x1080~60Hz
OpenGL: renderer: GeForce GT 430/PCIe/SSE2 v: 4.6.0 NVIDIA 390.77
direct render: Yes
Audio: Device-1: Intel 6 Series/C200 Series Family High Definition Audio
vendor: Gigabyte
driver: snd_hda_intel v: kernel bus ID: 00:1b.0 chip ID: 8086:1c20
Device-2: NVIDIA GF108 High Definition Audio vendor: CardExpert
driver: snd_hda_intel
v: kernel bus ID: 01:00.1 chip ID: 10de:0bea
Sound Server: ALSA v: k4.15.0-45-generic
Network: Device-1: Realtek RTL8111/8168/8411 PCI Express Gigabit Ethernet
vendor: Gigabyte
driver: r8169 v: 2.3LK-NAPI port: d000 bus ID: 04:00.0 chip ID:
10ec:8168
IF: enp4s0 state: up speed: 1000 Mbps duplex: full mac: <filter>
Device-2: Microsoft Xbox 360 Wireless Adapter type: USB driver: xpad
bus ID: 3-1:2
chip ID: 045e:0719
IF-ID-1: docker0 state: down mac: <filter>
Drives: Local Storage: total: 4.31 TiB used: 2.17 TiB (50.3%)
ID-1: /dev/sda vendor: Seagate model: ST4000DX001-1CE168 size: 3.64
TiB speed: 3.0 Gb/s
serial: <filter>
ID-2: /dev/sdb vendor: OCZ model: VERTEX3 size: 111.79 GiB speed:
3.0 Gb/s
serial: <filter>
ID-3: /dev/sdc vendor: Intel model: SSDSC2CT120A3 size: 111.79 GiB
speed: 3.0 Gb/s
serial: <filter>
ID-4: /dev/sdd type: USB vendor: Seagate model: ST9500325AS size:
465.76 GiB
serial: <filter>
Partition: ID-1: / size: 40.71 GiB used: 25.77 GiB (63.3%) fs: ext4 dev:
/dev/sdb2
ID-2: /home size: 60.69 GiB used: 47.28 GiB (77.9%) fs: ext4 dev:
/dev/sdb3
ID-3: swap-1 size: 8.00 GiB used: 426.9 MiB (5.2%) fs: swap dev:
/dev/sdb4
Sensors: System Temperatures: cpu: 29.8 C mobo: 27.8 C gpu: nvidia temp: 51 C
Fan Speeds (RPM): N/A gpu: nvidia fan: 35%
Repos: No active apt repos in: /etc/apt/sources.list
Active apt repos in:
/etc/apt/sources.list.d/additional-repositories.list
1: deb [arch=amd64] https: //download.docker.com/linux/ubuntu bionic
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2: deb https: //dl.winehq.org/wine-builds/ubuntu/ bionic main
3: deb http: //apt.postgresql.org/pub/repos/apt/ bionic-pgdg main
Active apt repos in: /etc/apt/sources.list.d/couchbase.list
1: deb [ arch=amd64 ] http:
//packages.couchbase.com/releases/couchbase-server/enterprise/deb/ xenial
xenial/main
2: deb [ arch=amd64 ] http:
//packages.couchbase.com/releases/couchbase-server/community/deb/ xenial
xenial/main
3: deb http: //packages.couchbase.com/ubuntu xenial xenial/main
4: deb http: //packages.couchbase.com/ubuntu bionic bionic/main
Active apt repos in:
/etc/apt/sources.list.d/freecad-maintainers-freecad-daily-bionic.list
1: deb http:
//ppa.launchpad.net/freecad-maintainers/freecad-daily/ubuntu bionic main
2: deb-src http:
//ppa.launchpad.net/freecad-maintainers/freecad-daily/ubuntu bionic main
Active apt repos in:
/etc/apt/sources.list.d/official-package-repositories.list
1: deb http: //packages.linuxmint.com tessa main upstream import
backport
2: deb http: //ubuntu.mirrors.uk2.net/ubuntu bionic main restricted
universe multiverse
3: deb http: //ubuntu.mirrors.uk2.net/ubuntu bionic-updates main
restricted universe multiverse
4: deb http: //ubuntu.mirrors.uk2.net/ubuntu bionic-backports main
restricted universe multiverse
5: deb http: //security.ubuntu.com/ubuntu/ bionic-security main
restricted universe multiverse
6: deb http: //archive.canonical.com/ubuntu/ bionic partner
Active apt repos in: /etc/apt/sources.list.d/skype-stable.list
1: deb [arch=amd64] https: //repo.skype.com/deb stable main
Active apt repos in: /etc/apt/sources.list.d/steam.list
1: deb [arch=amd64,i386] http: //repo.steampowered.com/steam/
precise steam
2: deb-src [arch=amd64,i386] http: //repo.steampowered.com/steam/
precise steam
Active apt repos in: /etc/apt/sources.list.d/vscode.list
1: deb [arch=amd64] http: //packages.microsoft.com/repos/vscode
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Active apt repos in: /etc/apt/sources.list.d/yarn.list
1: deb https: //dl.yarnpkg.com/debian/ stable main
Info: Processes: 283 Uptime: 1d 58m Memory: 7.75 GiB used: 3.53 GiB
(45.6%) Init: systemd
v: 237 runlevel: 5 default: 2 Compilers: gcc: 7.3.0 alt: 5/7
Client: Unknown python3.6 client inxi: 3.0.27
***************************************************************************
IPython post-mortem report
{'commit_hash': u'033ab93c7',
'commit_source': 'installation',
'default_encoding': 'UTF-8',
'ipython_path':
'/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/IPython',
'ipython_version': '5.8.0',
'os_name': 'posix',
'platform': 'Linux-4.15.0-45-generic-x86_64-with-debian-buster-sid',
'sys_executable': '/***/******/miniconda3/envs/sage/bin/python',
'sys_platform': 'linux2',
'sys_version': '2.7.14 | packaged by conda-forge | (default, Dec 9 2017,
16:18:43) \n[GCC 4.8.2 20140120 (Red Hat 4.8.2-15)]'}
***************************************************************************
***************************************************************************
Crash traceback:
---------------------------------------------------------------------------
---------------------------------------------------------------------------
ImportError Python 2.7.14: /***/******/miniconda3/envs/sage/bin/python
Tue Feb 19 18:35:47 2019
A problem occurred executing Python code. Here is the sequence of function
calls leading up to the error, with the most recent (innermost) call last.
/***/******/miniconda3/envs/sage/bin/sage-ipython in <module>()
1 #!/***/******/miniconda3/envs/sage/bin/python
2 # -*- coding: utf-8 -*-
3 """
4 Sage IPython startup script.
5 """
6
7 from sage.repl.interpreter import SageTerminalApp
8
9 app = SageTerminalApp.instance()
---> 10 app.initialize()
global app.initialize = <bound method SageTerminalApp.initialize of
<sage.repl.interpreter.SageTerminalApp object at 0x7f70eaa0e090>>
11 app.start()
</***/******/miniconda3/envs/sage/lib/python2.7/site-packages/decorator.pyc:decorator-gen-110>
in initialize(self=<sage.repl.interpreter.SageTerminalApp object>, argv=None)
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/traitlets/config/application.pyc
in catch_config_error(method=<function initialize>,
app=<sage.repl.interpreter.SageTerminalApp object>, *args=(None,), **kwargs={})
72 TRAITLETS_APPLICATION_RAISE_CONFIG_FILE_ERROR = False
73 else:
74 raise ValueError("Unsupported value for environment variable:
'TRAITLETS_APPLICATION_RAISE_CONFIG_FILE_ERROR' is set to '%s' which is none of
{'0', '1', 'false', 'true', ''}."% _envvar )
75
76
77 @decorator
78 def catch_config_error(method, app, *args, **kwargs):
79 """Method decorator for catching invalid config
(Trait/ArgumentErrors) during init.
80
81 On a TraitError (generally caused by bad config), this will print
the trait's
82 message, and exit the app.
83
84 For use on init methods, to prevent invoking excepthook on invalid
input.
85 """
86 try:
---> 87 return method(app, *args, **kwargs)
method = <function initialize at 0x7f70e40ea140>
app = <sage.repl.interpreter.SageTerminalApp object at 0x7f70eaa0e090>
args = (None,)
kwargs = {}
88 except (TraitError, ArgumentError) as e:
89 app.print_help()
90 app.log.fatal("Bad config encountered during initialization:")
91 app.log.fatal(str(e))
92 app.log.debug("Config at the time: %s", app.config)
93 app.exit(1)
94
95
96 class ApplicationError(Exception):
97 pass
98
99
100 class LevelFormatter(logging.Formatter):
101 """Formatter with additional `highlevel` record
102
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/IPython/terminal/ipapp.pyc
in initialize(self=<sage.repl.interpreter.SageTerminalApp object>, argv=None)
301
302 return super(TerminalIPythonApp, self).parse_command_line(argv)
303
304 @catch_config_error
305 def initialize(self, argv=None):
306 """Do actions after construct, but before starting the app."""
307 super(TerminalIPythonApp, self).initialize(argv)
308 if self.subapp is not None:
309 # don't bother initializing further, starting subapp
310 return
311 # print self.extra_args
312 if self.extra_args and not self.something_to_run:
313 self.file_to_run = self.extra_args[0]
314 self.init_path()
315 # create the shell
--> 316 self.init_shell()
self.init_shell = <bound method SageTerminalApp.init_shell of
<sage.repl.interpreter.SageTerminalApp object at 0x7f70eaa0e090>>
317 # and draw the banner
318 self.init_banner()
319 # Now a variety of things that happen after the banner is
printed.
320 self.init_gui_pylab()
321 self.init_extensions()
322 self.init_code()
323
324 def init_shell(self):
325 """initialize the InteractiveShell instance"""
326 # Create an InteractiveShell instance.
327 # shell.display_banner should always be False for the terminal
328 # based app, because we call shell.show_banner() by hand below
329 # so the banner shows *before* all extension loading stuff.
330 self.shell = self.interactive_shell_class.instance(parent=self,
331 profile_dir=self.profile_dir,
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/repl/interpreter.pyc
in init_shell(self=<sage.repl.interpreter.SageTerminalApp object>)
747 self.shell.has_sage_extensions = SAGE_EXTENSION in
self.extensions
748
749 # Load the %lprun extension if available
750 try:
751 import line_profiler
752 except ImportError:
753 pass
754 else:
755 self.extensions.append('line_profiler')
756
757 if self.shell.has_sage_extensions:
758 self.extensions.remove(SAGE_EXTENSION)
759
760 # load sage extension here to get a crash if
761 # something is wrong with the sage library
--> 762 self.shell.extension_manager.load_extension(SAGE_EXTENSION)
self.shell.extension_manager.load_extension = <bound method
ExtensionManager.load_extension of <IPython.core.extensions.ExtensionManager
object at 0x7f70e330bcd0>>
global SAGE_EXTENSION = 'sage'
763
764
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/IPython/core/extensions.pyc
in load_extension(self=<IPython.core.extensions.ExtensionManager object>,
module_str='sage')
70
71 Returns the string "already loaded" if the extension is already
loaded,
72 "no load function" if the module doesn't have a
load_ipython_extension
73 function, or None if it succeeded.
74 """
75 if module_str in self.loaded:
76 return "already loaded"
77
78 from IPython.utils.syspathcontext import prepended_to_syspath
79
80 with self.shell.builtin_trap:
81 if module_str not in sys.modules:
82 with prepended_to_syspath(self.ipython_extension_dir):
83 __import__(module_str)
84 mod = sys.modules[module_str]
---> 85 if self._call_load_ipython_extension(mod):
self._call_load_ipython_extension = <bound method
ExtensionManager._call_load_ipython_extension of
<IPython.core.extensions.ExtensionManager object at 0x7f70e330bcd0>>
mod = <module 'sage' from
'/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/__init__.pyc'>
86 self.loaded.add(module_str)
87 else:
88 return "no load function"
89
90 def unload_extension(self, module_str):
91 """Unload an IPython extension by its module name.
92
93 This function looks up the extension's name in ``sys.modules``
and
94 simply calls ``mod.unload_ipython_extension(self)``.
95
96 Returns the string "no unload function" if the extension
doesn't define
97 a function to unload itself, "not loaded" if the extension
isn't loaded,
98 otherwise None.
99 """
100 if module_str not in self.loaded:
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/IPython/core/extensions.pyc
in _call_load_ipython_extension(self=<IPython.core.extensions.ExtensionManager
object>, mod=<module 'sage' from
'/***/******/miniconda3/e...e/lib/python2.7/site-packages/sage/__init__.pyc'>)
117 """
118 from IPython.utils.syspathcontext import prepended_to_syspath
119
120 if (module_str in self.loaded) and (module_str in sys.modules):
121 self.unload_extension(module_str)
122 mod = sys.modules[module_str]
123 with prepended_to_syspath(self.ipython_extension_dir):
124 reload(mod)
125 if self._call_load_ipython_extension(mod):
126 self.loaded.add(module_str)
127 else:
128 self.load_extension(module_str)
129
130 def _call_load_ipython_extension(self, mod):
131 if hasattr(mod, 'load_ipython_extension'):
--> 132 mod.load_ipython_extension(self.shell)
mod.load_ipython_extension = <function load_ipython_extension at
0x7f70eaa01938>
self.shell = <sage.repl.interpreter.SageTerminalInteractiveShell object
at 0x7f70e408aa10>
133 return True
134
135 def _call_unload_ipython_extension(self, mod):
136 if hasattr(mod, 'unload_ipython_extension'):
137 mod.unload_ipython_extension(self.shell)
138 return True
139
140 def install_extension(self, url, filename=None):
141 """Download and install an IPython extension.
142
143 If filename is given, the file will be so named (inside the
extension
144 directory). Otherwise, the name from the URL will be used. The
file must
145 have a .py or .zip extension; otherwise, a ValueError will be
raised.
146
147 Returns the full path to the installed file.
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/__init__.pyc
in
load_ipython_extension(*args=(<sage.repl.interpreter.SageTerminalInteractiveShell
object>,))
1 __all__ = ['all']
2
3 # IPython calls this when starting up
4 def load_ipython_extension(*args):
5 import sage.repl.ipython_extension
----> 6 sage.repl.ipython_extension.load_ipython_extension(*args)
sage.repl.ipython_extension.load_ipython_extension = <function
load_ipython_extension at 0x7f70e30c48c0>
args = (<sage.repl.interpreter.SageTerminalInteractiveShell object at
0x7f70e408aa10>,)
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/repl/ipython_extension.pyc
in wrapper(*args=(<sage.repl.interpreter.SageTerminalInteractiveShell
object>,), **kwargs={})
490 ....: if work:
491 ....: return 'foo worked'
492 ....: raise RuntimeError("foo didn't work")
493 sage: foo(False)
494 Traceback (most recent call last):
495 ...
496 RuntimeError: foo didn't work
497 sage: foo(True)
498 'foo worked'
499 sage: foo(False)
500 sage: foo(True)
501 """
502 @wraps(func)
503 def wrapper(*args, **kwargs):
504 if not wrapper.has_run:
--> 505 result = func(*args, **kwargs)
result = undefined
global func = undefined
args = (<sage.repl.interpreter.SageTerminalInteractiveShell object at
0x7f70e408aa10>,)
kwargs = {}
506 wrapper.has_run = True
507 return result
508 wrapper.has_run = False
509 return wrapper
510
511
512 @run_once
513 def load_ipython_extension(ip):
514 """
515 Load the extension in IPython.
516 """
517 # this modifies ip
518 SageCustomizations(shell=ip)
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/repl/ipython_extension.pyc
in
load_ipython_extension(ip=<sage.repl.interpreter.SageTerminalInteractiveShell
object>)
503 def wrapper(*args, **kwargs):
504 if not wrapper.has_run:
505 result = func(*args, **kwargs)
506 wrapper.has_run = True
507 return result
508 wrapper.has_run = False
509 return wrapper
510
511
512 @run_once
513 def load_ipython_extension(ip):
514 """
515 Load the extension in IPython.
516 """
517 # this modifies ip
--> 518 SageCustomizations(shell=ip)
global SageCustomizations = <class
'sage.repl.ipython_extension.SageCustomizations'>
global shell = undefined
ip = <sage.repl.interpreter.SageTerminalInteractiveShell object at
0x7f70e408aa10>
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/repl/ipython_extension.pyc
in __init__(self=<sage.repl.ipython_extension.SageCustomizations object>,
shell=<sage.repl.interpreter.SageTerminalInteractiveShell object>)
361 def __init__(self, shell=None):
362 """
363 Initialize the Sage plugin.
364 """
365 self.shell = shell
366
367 self.auto_magics = SageMagics(shell)
368 self.shell.register_magics(self.auto_magics)
369
370 import sage.misc.edit_module as edit_module
371 self.shell.set_hook('editor', edit_module.edit_devel)
372
373 self.init_inspector()
374 self.init_line_transforms()
375
--> 376 import sage.all # until sage's import hell is fixed
sage.all = undefined
377
378 self.shell.verbose_quit = True
379 self.set_quit_hook()
380
381 self.register_interface_magics()
382
383 if SAGE_IMPORTALL == 'yes':
384 self.init_environment()
385
386 def register_interface_magics(self):
387 """
388 Register magics for each of the Sage interfaces
389 """
390 from sage.repl.interface_magic import InterfaceMagic
391 InterfaceMagic.register_all(self.shell)
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/all.py in
<module>()
88
89 from time import sleep
90
91 import sage.misc.lazy_import
92 from sage.misc.all import * # takes a while
93 from sage.typeset.all import *
94 from sage.repl.all import *
95
96 from sage.misc.sh import sh
97
98 from sage.libs.all import *
99 from sage.data_structures.all import *
100 from sage.doctest.all import *
101
102 from sage.structure.all import *
--> 103 from sage.rings.all import *
global sage.rings.all = undefined
104 from sage.arith.all import *
105 from sage.matrix.all import *
106
107 from sage.symbolic.all import *
108 from sage.modules.all import *
109 from sage.monoids.all import *
110 from sage.algebras.all import *
111 from sage.modular.all import *
112 from sage.sat.all import *
113 from sage.schemes.all import *
114 from sage.graphs.all import *
115 from sage.groups.all import *
116 from sage.databases.all import *
117 from sage.categories.all import *
118 from sage.sets.all import *
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/rings/all.py
in <module>()
39
40 # Rational numbers
41 from .rational_field import RationalField, QQ
42 from .rational import Rational
43 Rationals = RationalField
44
45 # Integers modulo n.
46 from sage.rings.finite_rings.integer_mod_ring import IntegerModRing,
Zmod
47 from sage.rings.finite_rings.integer_mod import IntegerMod, Mod, mod
48 Integers = IntegerModRing
49
50 # Finite fields
51 from .finite_rings.all import *
52
53 # Number field
---> 54 from .number_field.all import *
global number_field.all = undefined
55
56 # Function field
57 from .function_field.all import *
58
59 # Finite residue fields
60 from .finite_rings.residue_field import ResidueField
61
62 # p-adic field
63 from .padics.all import *
64 from .padics.padic_printing import _printer_defaults as padic_printing
65
66 # Semirings
67 from .semirings.all import *
68
69 # Real numbers
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/rings/number_field/all.py
in <module>()
1 from __future__ import absolute_import
2
3 from .number_field import (NumberField, NumberFieldTower,
CyclotomicField, QuadraticField,
4 is_fundamental_discriminant)
5 from .number_field_element import NumberFieldElement
6
7 from .order import EquationOrder, GaussianIntegers, EisensteinIntegers
8
----> 9 from .totallyreal import enumerate_totallyreal_fields_prim
global totallyreal = undefined
global enumerate_totallyreal_fields_prim = undefined
10 from .totallyreal_data import hermite_constant
11 from .totallyreal_rel import enumerate_totallyreal_fields_all,
enumerate_totallyreal_fields_rel
12
13 from .unit_group import UnitGroup
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/rings/number_field/totallyreal_data.pxd
in init sage.rings.number_field.totallyreal
(/feedstock_root/build_artefacts/sagelib_1496649974235/work/sage-7.6/build/cythonized/sage/rings/number_field/totallyreal.c:12569)()
1 cdef double eval_seq_as_poly(int *f, int n, double x)
2 cdef double newton(int *f, int *df, int n, double x0, double eps)
3 cdef void newton_in_intervals(int *f, int *df, int n, double *beta,
double eps, double *rts)
4 cpdef lagrange_degree_3(int n, int an1, int an2, int an3)
5
6 cimport sage.rings.integer
7
8 cdef int eval_seq_as_poly_int(int *f, int n, int x)
9
10 cdef int easy_is_irreducible(int *a, int n)
11
---> 12 cdef class tr_data:
global cdef = undefined
global tr_data = undefined
13
14 cdef int n, k
15 cdef double B
16 cdef double b_lower, b_upper, gamma
17
18 cdef int *a
19 cdef int *amax
20 cdef double *beta
21 cdef int *gnk
22
23 cdef int *df
24
25 cdef void incr(self, int *f_out, int verbose, int haltk, int phc)
26
sage/rings/number_field/totallyreal_data.pyx in init
sage.rings.number_field.totallyreal_data
(/feedstock_root/build_artefacts/sagelib_1496649974235/work/sage-7.6/build/cythonized/sage/rings/number_field/totallyreal_data.c:13278)()
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/rings/polynomial/polynomial_ring_constructor.pyc
in PolynomialRing(base_ring=Integer Ring, arg1='x', arg2=None, sparse=False,
order='degrevlex', names=None, name='x', var_array=None, implementation=None)
446 arg2 = [str(x) for x in arg2]
447 if isinstance(arg2, (int, long, Integer)):
448 # 3. PolynomialRing(base_ring, names, n, order='degrevlex'):
449 if not isinstance(arg1, (list, tuple, str)):
450 raise TypeError("You *must* specify the names of the
variables.")
451 n = int(arg2)
452 names = arg1
453 R = _multi_variate(base_ring, names, n, sparse, order,
implementation)
454
455 elif isinstance(arg1, str) or (isinstance(arg1, (list,tuple)) and
len(arg1) == 1):
456 if not ',' in arg1:
457 # 1. PolynomialRing(base_ring, name, sparse=False):
458 if not arg2 is None:
459 raise TypeError("if second arguments is a string with
no commas, then there must be no other non-optional arguments")
460 name = arg1
--> 461 R = _single_variate(base_ring, name, sparse, implementation)
R = None
global _single_variate = <function _single_variate at 0x7f6fc65a0cf8>
base_ring = Integer Ring
name = 'x'
sparse = False
implementation = None
462 else:
463 # 2-4. PolynomialRing(base_ring, names, order='degrevlex'):
464 if not arg2 is None:
465 raise TypeError("invalid input to PolynomialRing
function; please see the docstring for that function")
466 names = arg1.split(',')
467 R = _multi_variate(base_ring, names, -1, sparse, order,
implementation)
468 elif isinstance(arg1, (list, tuple)):
469 # PolynomialRing(base_ring, names (list or tuple),
order='degrevlex'):
470 names = arg1
471 R = _multi_variate(base_ring, names, -1, sparse, order,
implementation)
472
473 if arg1 is None and arg2 is None:
474 raise TypeError("you *must* specify the indeterminates (as not
None).")
475 if R is None:
476 raise TypeError("invalid input (%s, %s, %s) to PolynomialRing
function; please see the docstring for that function"%(
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/rings/polynomial/polynomial_ring_constructor.pyc
in _single_variate(base_ring=Integer Ring, name=('x',), sparse=False,
implementation=None)
524 R =
m.PolynomialRing_dense_padic_ring_capped_absolute(base_ring, name)
525
526 elif isinstance(base_ring, padic_base_leaves.pAdicRingFixedMod):
527 R = m.PolynomialRing_dense_padic_ring_fixed_mod(base_ring,
name)
528
529 elif base_ring in _CompleteDiscreteValuationRings:
530 R = m.PolynomialRing_cdvr(base_ring, name, sparse)
531
532 elif base_ring in _CompleteDiscreteValuationFields:
533 R = m.PolynomialRing_cdvf(base_ring, name, sparse)
534
535 elif base_ring.is_field(proof = False):
536 R = m.PolynomialRing_field(base_ring, name, sparse)
537
538 elif base_ring.is_integral_domain(proof = False):
--> 539 R = m.PolynomialRing_integral_domain(base_ring, name,
sparse, implementation)
R = None
m.PolynomialRing_integral_domain = <class
'sage.rings.polynomial.polynomial_ring.PolynomialRing_integral_domain'>
base_ring = Integer Ring
name = ('x',)
sparse = False
implementation = None
540 else:
541 R = m.PolynomialRing_commutative(base_ring, name, sparse)
542 else:
543 R = m.PolynomialRing_general(base_ring, name, sparse)
544
545 if hasattr(R, '_implementation_names'):
546 for name in R._implementation_names:
547 real_key = key[0:3] + (name,)
548 _save_in_cache(real_key, R)
549 else:
550 _save_in_cache(key, R)
551 return R
552
553 def _multi_variate(base_ring, names, n, sparse, order, implementation):
554 # if not sparse:
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/rings/polynomial/polynomial_ring.pyc
in __init__(self=Univariate Polynomial Ring in x over Integer Ring,
base_ring=Integer Ring, name=('x',), sparse=False, implementation=None,
element_class=<type
'sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint'>,
category=None)
1588 if is_IntegerRing(base_ring) and not sparse:
1589 if implementation == 'NTL':
1590 from
sage.rings.polynomial.polynomial_integer_dense_ntl \
1591 import Polynomial_integer_dense_ntl
1592 element_class = Polynomial_integer_dense_ntl
1593 self._implementation_names = ('NTL',)
1594 self._implementation_repr = ' (using NTL)'
1595 elif implementation == 'FLINT' or implementation is
None:
1596 from
sage.rings.polynomial.polynomial_integer_dense_flint \
1597 import Polynomial_integer_dense_flint
1598 element_class = Polynomial_integer_dense_flint
1599 self._implementation_names = (None, 'FLINT')
1600 else:
1601 raise ValueError("Unknown implementation %s for
ZZ[x]"%implementation)
1602 PolynomialRing_commutative.__init__(self, base_ring, name=name,
-> 1603 sparse=sparse, element_class=element_class,
category=category)
sparse = False
element_class = <type
'sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint'>
category = None
1604
1605 def _repr_(self):
1606 """
1607 TESTS::
1608
1609 sage: from sage.rings.polynomial.polynomial_ring import
PolynomialRing_integral_domain as PRing
1610 sage: R = PRing(ZZ, 'x', implementation='NTL'); R
1611 Univariate Polynomial Ring in x over Integer Ring (using
NTL)
1612 """
1613 s = PolynomialRing_commutative._repr_(self)
1614 return s + self._implementation_repr
1615
1616
1617 class PolynomialRing_field(PolynomialRing_integral_domain,
1618 PolynomialRing_singular_repr,
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/rings/polynomial/polynomial_ring.pyc
in __init__(self=Univariate Polynomial Ring in x over Integer Ring,
base_ring=Integer Ring, name=('x',), sparse=False, element_class=<type
'sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint'>,
category=Join of Category of unique factorization domains...s and infinite
enumerated sets and metric spaces))
1459 if max_degree is not None and of_degree is None:
1460 return self._monics_max( max_degree )
1461 raise ValueError("you should pass exactly one of of_degree and
max_degree")
1462
1463 class PolynomialRing_commutative(PolynomialRing_general,
commutative_algebra.CommutativeAlgebra):
1464 """
1465 Univariate polynomial ring over a commutative ring.
1466 """
1467 def __init__(self, base_ring, name=None, sparse=False,
element_class=None, category=None):
1468 if base_ring not in _CommutativeRings:
1469 raise TypeError("Base ring %s must be a commutative
ring."%repr(base_ring))
1470 # We trust that, if a category is given, that it is useful.
1471 if category is None:
1472 category =
polynomial_default_category(base_ring.category(),False)
1473 PolynomialRing_general.__init__(self, base_ring, name=name,
-> 1474 sparse=sparse, element_class=element_class,
category=category)
sparse = False
element_class = <type
'sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint'>
category = Join of Category of unique factorization domains and
Category of commutative algebras over (euclidean domains and infinite
enumerated sets and metric spaces)
1475
1476 def quotient_by_principal_ideal(self, f, names=None):
1477 """
1478 Return the quotient of this polynomial ring by the principal
1479 ideal (generated by) `f`.
1480
1481 INPUT:
1482
1483 - ``f`` - either a polynomial in ``self``, or a principal
1484 ideal of ``self``.
1485
1486 EXAMPLES::
1487
1488 sage: R.<x> = QQ[]
1489 sage: I = (x^2-1)*R
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/rings/polynomial/polynomial_ring.pyc
in __init__(self=Univariate Polynomial Ring in x over Integer Ring,
base_ring=Integer Ring, name=('x',), sparse=False, element_class=<type
'sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint'>,
category=Join of Category of unique factorization domains...s and infinite
enumerated sets and metric spaces))
275 self._has_singular = False
276 # Algebra.__init__ also calls __init_extra__ of
Algebras(...).parent_class, which
277 # tries to provide a conversion from the base ring, if it does
not exist.
278 # This is for algebras that only do the generic stuff in their
initialisation.
279 # But the attribute _no_generic_basering_coercion prevents that
from happening,
280 # since we want to use PolynomialBaseringInjection.
281 sage.algebras.algebra.Algebra.__init__(self, base_ring,
names=name, normalize=True, category=category)
282 self.__generator = self.element_class(self, [0,1], is_gen=True)
283 self._populate_coercion_lists_(
284 #coerce_list = [base_inject],
285 #convert_list = [list, base_inject],
286 convert_method_name = '_polynomial_')
287 if is_PolynomialRing(base_ring):
288 self._Karatsuba_threshold = 0
289 else:
--> 290 from sage.matrix.matrix_space import MatrixSpace
global sage.matrix.matrix_space = undefined
MatrixSpace = undefined
291 if isinstance(base_ring, MatrixSpace):
292 self._Karatsuba_threshold = 0
293 else:
294 self._Karatsuba_threshold = 8
295
296 def __reduce__(self):
297 import sage.rings.polynomial.polynomial_ring_constructor
298 return
(sage.rings.polynomial.polynomial_ring_constructor.PolynomialRing,
299 (self.base_ring(), self.variable_name(), None,
self.is_sparse()))
300
301
302 def _element_constructor_(self, x=None, check=True, is_gen=False,
303 construct=False, **kwds):
304 r"""
305 Convert ``x`` into this univariate polynomial ring,
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/matrix/matrix_space.pyc
in <module>()
33
#*****************************************************************************
34 from __future__ import print_function, absolute_import
35 from six.moves import range
36 from six import iteritems
37
38 # System imports
39 import sys
40 import types
41 import operator
42
43 # Sage matrix imports
44 from . import matrix
45 from . import matrix_generic_dense
46 from . import matrix_generic_sparse
47
---> 48 from . import matrix_modn_sparse
global matrix_modn_sparse = undefined
49
50 from . import matrix_mod2_dense
51 from . import matrix_gf2e_dense
52
53 from . import matrix_integer_dense
54 from . import matrix_integer_sparse
55
56 from . import matrix_rational_dense
57 from . import matrix_rational_sparse
58
59 from . import matrix_polynomial_dense
60 from . import matrix_mpolynomial_dense
61
62 # Sage imports
63 from sage.misc.superseded import deprecation
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/matrix/matrix_integer_dense.pxd
in init sage.matrix.matrix_modn_sparse
(/feedstock_root/build_artefacts/sagelib_1496649974235/work/sage-7.6/build/cythonized/sage/matrix/matrix_modn_sparse.c:15049)()
1 from sage.libs.gmp.types cimport *
2 from sage.libs.flint.types cimport fmpz_mat_t
3
4 from .matrix_dense cimport Matrix_dense
5 from sage.rings.integer cimport Integer
6 from sage.ext.mod_int cimport *
7
8 ctypedef long* GEN
9
---> 10 cdef class Matrix_integer_dense(Matrix_dense):
global cdef = undefined
global Matrix_integer_dense = undefined
global Matrix_dense = undefined
11 cdef fmpz_mat_t _matrix # Always initialized in __cinit__
12 cdef bint _initialized_mpz
13 cdef mpz_t * _entries # Only used if _initialized_mpz
14 cdef mpz_t ** _rows # Only used if _initialized_mpz
15 cdef object _pivots
16 cdef int mpz_height(self, mpz_t height) except -1
17 cdef _mod_int_c(self, mod_int modulus)
18 cdef _mod_two(self)
19 cdef _pickle_version0(self)
20 cdef _unpickle_version0(self, data)
21 cpdef _export_as_string(self, int base=?)
22 cdef inline int _init_mpz(self) except -1
23 cdef int _init_mpz_impl(self) except -1
24 cdef inline int _init_linbox(self) except -1
25 cdef void _dealloc_mpz(self)
26 cdef void set_unsafe_mpz(self, Py_ssize_t i, Py_ssize_t j, const
mpz_t value)
27 cdef void set_unsafe_si(self, Py_ssize_t i, Py_ssize_t j, long
value)
28 cdef void set_unsafe_double(self, Py_ssize_t i, Py_ssize_t j,
double value)
29 cdef inline void get_unsafe_mpz(self, Py_ssize_t i, Py_ssize_t j,
mpz_t value)
30 cdef inline double get_unsafe_double(self, Py_ssize_t i, Py_ssize_t
j)
31
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/matrix/matrix_modn_dense_template_header.pxi
in init sage.matrix.matrix_integer_dense
(/feedstock_root/build_artefacts/sagelib_1496649974235/work/sage-7.6/build/cythonized/sage/matrix/matrix_integer_dense.c:57312)()
1 """
2 Dense Matrix Template for C/C++ Library Interfaces
3 """
4
5 from sage.ext.mod_int cimport *
6 from sage.matrix.matrix_dense cimport Matrix_dense
7
----> 8 cdef class Matrix_modn_dense_template(Matrix_dense):
global cdef = undefined
global Matrix_modn_dense_template = undefined
global Matrix_dense = undefined
9 cdef celement **_matrix
10 cdef celement *_entries
11 cdef mod_int p
12 cdef xgcd_eliminate (self, celement * row1, celement* row2,
Py_ssize_t start_col)
13 cdef set_unsafe_int(self, Py_ssize_t i, Py_ssize_t j, int value)
14 cpdef _export_as_string(self)
15 cdef int _copy_row_to_mod_int_array(self, mod_int *to, Py_ssize_t i)
ImportError:
/***/******/miniconda3/envs/sage/lib/python2.7/site-packages/sage/matrix/../../../../liblinboxsage.so.0:
undefined symbol: _ZNK6Givaro7IntegercvSsEv
***************************************************************************
History of session input:
*** Last line of input (may not be in above history):
(base) d****@****** ~ $ conda env --remove -n sage
usage: conda-env [-h] {create,export,list,remove,update} ...
conda-env: error: invalid choice: 'sage' (choose from 'create', 'export',
'list', 'remove', 'update')
(base) d****@****** ~ $ conda-env list
# conda environments:
#
base * /***/******/miniconda3
sage /***/******/miniconda3/envs/sage
(base) d****@****** ~ $ conda env remove -n sage
Remove all packages in environment /***/******/miniconda3/envs/sage:
(base) d****@****** ~ $ conda config --add channels conda-forge
Warning: 'conda-forge' already in 'channels' list, moving to the top
(base) d****@****** ~ $ conda update --all
Collecting package metadata: done
Solving environment: done
## Package Plan ##
environment location: /***/******/miniconda3
The following packages will be downloaded:
package | build
---------------------------|-----------------
lz4-c-1.8.1.2 | 0 103 KB conda-forge
zstd-1.3.8 | h7510944_1002 959 KB conda-forge
------------------------------------------------------------
Total: 1.0 MB
The following NEW packages will be INSTALLED:
lz4-c conda-forge/linux-64::lz4-c-1.8.1.2-0
The following packages will be UPDATED:
zstd 1.3.3-1 -->
1.3.8-h7510944_1002
The following packages will be DOWNGRADED:
libtiff 4.0.10-h9022e91_1002 -->
4.0.10-h648cc4a_1001
Proceed ([y]/n)?
Downloading and Extracting Packages
lz4-c-1.8.1.2 | 103 KB |
############################################################################# |
100%
zstd-1.3.8 | 959 KB |
############################################################################# |
100%
Preparing transaction: done
Verifying transaction: done
Executing transaction: done
(base) d****@****** ~ $ conda create -n sage sage
Collecting package metadata: done
Solving environment: done
## Package Plan ##
environment location: /***/******/miniconda3/envs/sage
added / updated specs:
- sage
The following NEW packages will be INSTALLED:
_r-mutex pkgs/r/linux-64::_r-mutex-1.0.0-anacondar_1
alabaster conda-forge/noarch::alabaster-0.7.12-py_0
arb conda-forge/linux-64::arb-2.9.0-1
attrs conda-forge/noarch::attrs-18.2.0-py_0
backports conda-forge/noarch::backports-1.0-py_2
backports.os conda-forge/linux-64::backports.os-0.1.1-py27_1000
backports.shutil_~
conda-forge/noarch::backports.shutil_get_terminal_size-1.0.0-py_3
backports_abc conda-forge/noarch::backports_abc-0.5-py_1
bdw-gc conda-forge/linux-64::bdw-gc-8.0.2-h6bb024c_0
blas conda-forge/linux-64::blas-1.1-openblas
bleach conda-forge/noarch::bleach-3.1.0-py_0
boost-cpp conda-forge/linux-64::boost-cpp-1.64.0-1
brial conda-forge/linux-64::brial-0.8.7-py27_2
bzip2 conda-forge/linux-64::bzip2-1.0.6-h14c3975_1002
ca-certificates conda-forge/linux-64::ca-certificates-2018.11.29-ha4d7672_0
cairo conda-forge/linux-64::cairo-1.14.6-5
cddlib conda-forge/linux-64::cddlib-1!0.94j-ha14ba45_1001
certifi conda-forge/linux-64::certifi-2018.11.29-py27_1000
cliquer conda-forge/linux-64::cliquer-1.21-0
configparser conda-forge/linux-64::configparser-3.7.1-py27_0
contextlib2 conda-forge/noarch::contextlib2-0.5.5-py_2
curl conda-forge/linux-64::curl-7.61.0-h93b3f91_2
cvxopt conda-forge/linux-64::cvxopt-1.1.9-py27_blas_openblas_201
cycler conda-forge/noarch::cycler-0.10.0-py_1
cysignals conda-forge/linux-64::cysignals-1.4.0-py27_1
cython conda-forge/linux-64::cython-0.29.5-py27hf484d3e_0
decorator conda-forge/noarch::decorator-4.3.2-py_0
docutils conda-forge/linux-64::docutils-0.14-py27_1001
ecl conda-forge/linux-64::ecl-16.1.3-4
eclib conda-forge/linux-64::eclib-20171219-0
ecm conda-forge/linux-64::ecm-7.0.4-ha14ba45_1002
entrypoints conda-forge/linux-64::entrypoints-0.3-py27_1000
enum34 conda-forge/linux-64::enum34-1.1.6-py27_1001
expat conda-forge/linux-64::expat-2.2.5-hf484d3e_1002
fastcache conda-forge/linux-64::fastcache-1.0.2-py27h14c3975_1001
fflas-ffpack conda-forge/linux-64::fflas-ffpack-2.2.2-blas_openblas_0
fftw conda-forge/linux-64::fftw-3.3.8-h14c3975_1002
flintqs conda-forge/linux-64::flintqs-1.0-0
fontconfig conda-forge/linux-64::fontconfig-2.12.1-6
fplll conda-forge/linux-64::fplll-5.2.0-0
fpylll conda-forge/linux-64::fpylll-0.3.0dev-py27_1
freetype conda-forge/linux-64::freetype-2.7-2
functools32 conda-forge/noarch::functools32-3.2.3.2-py_3
future conda-forge/linux-64::future-0.17.1-py27_1000
futures conda-forge/linux-64::futures-3.2.0-py27_1000
gap conda-forge/linux-64::gap-4.8.6-2
gettext conda-forge/linux-64::gettext-0.19.8.1-h9745a5d_1001
gf2x conda-forge/linux-64::gf2x-1.1-0
gfan conda-forge/linux-64::gfan-0.6.2-h0eace8b_1
giac conda-forge/linux-64::giac-1.2.3.25-blas_openblas_0
giflib conda-forge/linux-64::giflib-5.1.4-h14c3975_1001
givaro conda-forge/linux-64::givaro-4.0.4-he08cec2_1001
glib conda-forge/linux-64::glib-2.51.4-0
glpk conda-forge/linux-64::glpk-4.61-1
gmp conda-forge/linux-64::gmp-6.1.2-hf484d3e_1000
gmpy2 conda-forge/linux-64::gmpy2-2.0.8-py27_1
graphite2 conda-forge/linux-64::graphite2-1.3.13-hf484d3e_1000
gsl conda-forge/linux-64::gsl-2.2.1-blas_openblas_3
harfbuzz conda-forge/linux-64::harfbuzz-1.4.3-0
icu conda-forge/linux-64::icu-58.2-hf484d3e_1000
iml conda-forge/linux-64::iml-1.0.5-blas_openblas_0
importlib_metadata conda-forge/linux-64::importlib_metadata-0.8-py27_0
ipaddress conda-forge/noarch::ipaddress-1.0.22-py_1
ipykernel conda-forge/linux-64::ipykernel-4.10.0-py27_1
ipython conda-forge/linux-64::ipython-5.8.0-py27_0
ipython_genutils conda-forge/noarch::ipython_genutils-0.2.0-py_1
ipywidgets conda-forge/noarch::ipywidgets-7.4.2-py_0
jinja2 conda-forge/linux-64::jinja2-2.9.6-py27_0
jpeg conda-forge/linux-64::jpeg-9c-h14c3975_1001
jsonschema conda-forge/linux-64::jsonschema-3.0.0a3-py27_1000
jupyter_client conda-forge/noarch::jupyter_client-5.2.4-py_1
jupyter_core conda-forge/noarch::jupyter_core-4.4.0-py_0
krb5 conda-forge/linux-64::krb5-1.14.6-0
lcalc conda-forge/linux-64::lcalc-1.23-0
libffi conda-forge/linux-64::libffi-3.2.1-hf484d3e_1005
libflint conda-forge/linux-64::libflint-2.5.2-1
libgap conda-forge/linux-64::libgap-4.8.6-0
libgcc conda-forge/linux-64::libgcc-7.2.0-h69d50b8_2
libgcc-ng conda-forge/linux-64::libgcc-ng-7.3.0-hdf63c60_0
libgd conda-forge/linux-64::libgd-2.2.5-2
libgfortran conda-forge/linux-64::libgfortran-3.0.0-1
libgfortran-ng conda-forge/linux-64::libgfortran-ng-7.2.0-hdf63c60_3
libiconv conda-forge/linux-64::libiconv-1.15-h14c3975_1004
libpng conda-forge/linux-64::libpng-1.6.28-2
libsodium conda-forge/linux-64::libsodium-1.0.16-h14c3975_1001
libssh2 conda-forge/linux-64::libssh2-1.8.0-h1ad7b7a_1003
libstdcxx-ng conda-forge/linux-64::libstdcxx-ng-7.3.0-hdf63c60_0
libtiff conda-forge/linux-64::libtiff-4.0.7-1
libwebp conda-forge/linux-64::libwebp-0.5.2-7
libxml2 conda-forge/linux-64::libxml2-2.9.8-h143f9aa_1005
linbox conda-forge/linux-64::linbox-1.4.2-0
lrcalc conda-forge/linux-64::lrcalc-1.2-hf484d3e_1000
m4ri conda-forge/linux-64::m4ri-20140914-0
m4rie conda-forge/linux-64::m4rie-20150908-0
markupsafe conda-forge/linux-64::markupsafe-1.1.0-py27h14c3975_1000
matplotlib conda-forge/linux-64::matplotlib-2.0.0-np111py27_2
maxima conda-forge/linux-64::maxima-5.39.0-2
metis conda-forge/linux-64::metis-5.1.0-hf484d3e_1003
mistune conda-forge/linux-64::mistune-0.8.4-py27h14c3975_1000
mpc conda-forge/linux-64::mpc-1.0.3-4
mpfi conda-forge/linux-64::mpfi-1.5.3-0
mpfr conda-forge/linux-64::mpfr-3.1.5-0
mpmath conda-forge/noarch::mpmath-1.1.0-py_0
nauty conda-forge/linux-64::nauty-2.6.7-h14c3975_1000
nbconvert conda-forge/noarch::nbconvert-5.3.1-py_1
nbformat conda-forge/noarch::nbformat-4.4.0-py_1
ncurses conda-forge/linux-64::ncurses-5.9-10
networkx conda-forge/noarch::networkx-2.2-py_1
notebook conda-forge/linux-64::notebook-5.7.4-py27_1000
ntl conda-forge/linux-64::ntl-10.3.0-1
numpy conda-forge/linux-64::numpy-1.11.3-py27_blas_openblas_202
openblas conda-forge/linux-64::openblas-0.2.19-2
openssl conda-forge/linux-64::openssl-1.0.2p-h14c3975_1002
palp conda-forge/linux-64::palp-2.1-0
pandoc conda-forge/linux-64::pandoc-2.6-1
pandocfilters conda-forge/noarch::pandocfilters-1.4.2-py_1
pango conda-forge/linux-64::pango-1.40.4-0
pari conda-forge/linux-64::pari-2.9.4-pl5.22.0.1_0
path.py conda-forge/noarch::path.py-11.5.0-py_0
pathlib2 conda-forge/linux-64::pathlib2-2.3.3-py27_1000
pcre conda-forge/linux-64::pcre-8.39-0
perl conda-forge/linux-64::perl-5.22.0.1-0
pexpect conda-forge/linux-64::pexpect-4.6.0-py27_1000
pickleshare conda-forge/linux-64::pickleshare-0.7.5-py27_1000
pip conda-forge/linux-64::pip-19.0.2-py27_0
pixman conda-forge/linux-64::pixman-0.34.0-h14c3975_1003
pkgconfig conda-forge/linux-64::pkgconfig-1.3.1-py27_1001
planarity conda-forge/linux-64::planarity-3.0.0.5-h14c3975_1002
ppl conda-forge/linux-64::ppl-1.2-0
prometheus_client conda-forge/noarch::prometheus_client-0.5.0-py_0
prompt_toolkit conda-forge/noarch::prompt_toolkit-1.0.15-py_1
psutil conda-forge/linux-64::psutil-5.5.1-py27h14c3975_0
ptyprocess conda-forge/linux-64::ptyprocess-0.6.0-py27_1000
pycrypto conda-forge/linux-64::pycrypto-2.6.1-py27h14c3975_1002
pygments conda-forge/noarch::pygments-2.3.1-py_0
pynac conda-forge/linux-64::pynac-0.7.5-py27_1
pyparsing conda-forge/noarch::pyparsing-2.3.1-py_0
pyqt conda-forge/linux-64::pyqt-4.11.4-py27_3
pyrsistent conda-forge/linux-64::pyrsistent-0.14.10-py27h14c3975_0
python conda-forge/linux-64::python-2.7.14-2
python-dateutil conda-forge/noarch::python-dateutil-2.8.0-py_0
pytz conda-forge/noarch::pytz-2018.9-py_0
pyzmq conda-forge/linux-64::pyzmq-17.1.2-py27h6afc9c9_1001
qd conda-forge/linux-64::qd-2.3.22-h1c2f66e_1002
qt conda-forge/linux-64::qt-4.8.7-7
r-base conda-forge/linux-64::r-base-3.4.1-2
ratpoints conda-forge/linux-64::ratpoints-2.1.3-ha14ba45_1002
readline conda-forge/linux-64::readline-6.2-0
rpy2 conda-forge/linux-64::rpy2-2.8.5-py27r3.4.1_0
rubiks conda-forge/linux-64::rubiks-20070912-hf484d3e_1001
rw conda-forge/linux-64::rw-0.7-1
sage conda-forge/linux-64::sage-7.6-py27_2
sagelib conda-forge/linux-64::sagelib-7.6-np111py27_blas_openblas_1
sagemath-db-combi~
conda-forge/noarch::sagemath-db-combinatorial-designs-20140630-1
sagemath-db-conwa~
conda-forge/linux-64::sagemath-db-conway-polynomials-0.4.p0-0
sagemath-db-ellip~
conda-forge/noarch::sagemath-db-elliptic-curves-0.8-ha4d7672_1
sagemath-db-graphs conda-forge/noarch::sagemath-db-graphs-20161026-1
sagemath-db-polyt~ conda-forge/noarch::sagemath-db-polytopes-20170220-1
scandir conda-forge/linux-64::scandir-1.9.0-py27h14c3975_1000
scipy conda-forge/linux-64::scipy-0.19.1-py27_blas_openblas_202
send2trash conda-forge/noarch::send2trash-1.5.0-py_0
setuptools conda-forge/linux-64::setuptools-40.8.0-py27_0
simplegeneric conda-forge/noarch::simplegeneric-0.8.1-py_1
singledispatch conda-forge/linux-64::singledispatch-3.4.0.3-py27_1000
singular conda-forge/linux-64::singular-4.1.0-0
sip conda-forge/linux-64::sip-4.18-py27_1
six conda-forge/linux-64::six-1.12.0-py27_1000
sqlite conda-forge/linux-64::sqlite-3.13.0-1
ssl_match_hostname conda-forge/noarch::ssl_match_hostname-3.7.0.1-py_1000
subprocess32 conda-forge/linux-64::subprocess32-3.5.3-py27h14c3975_0
suitesparse conda-forge/linux-64::suitesparse-4.5.4-blas_openblas_200
symmetrica conda-forge/linux-64::symmetrica-2.0-0
sympow conda-forge/linux-64::sympow-3.0.5-h14c3975_1000
sympy conda-forge/linux-64::sympy-1.3-py27_1000
tbb conda-forge/linux-64::tbb-2019.3-h6bb024c_1000
terminado conda-forge/linux-64::terminado-0.8.1-py27_1001
testpath conda-forge/linux-64::testpath-0.4.2-py27_1000
tk conda-forge/linux-64::tk-8.5.19-2
tornado conda-forge/linux-64::tornado-5.1.1-py27h14c3975_1000
traitlets conda-forge/linux-64::traitlets-4.3.2-py27_1000
wcwidth conda-forge/noarch::wcwidth-0.1.7-py_1
webencodings conda-forge/noarch::webencodings-0.5.1-py_1
wheel conda-forge/linux-64::wheel-0.33.0-py27_0
widgetsnbextension conda-forge/linux-64::widgetsnbextension-3.4.2-py27_1000
xz conda-forge/linux-64::xz-5.2.4-h14c3975_1001
zeromq conda-forge/linux-64::zeromq-4.2.5-hf484d3e_1006
zipp conda-forge/noarch::zipp-0.3.3-py_0
zlib conda-forge/linux-64::zlib-1.2.11-h14c3975_1004
zn_poly conda-forge/linux-64::zn_poly-0.9-ha14ba45_1002
Proceed ([y]/n)?
Preparing transaction: done
Verifying transaction: done
Executing transaction: \ Enabling notebook extension
jupyter-js-widgets/extension...
- Validating: OK
done
#
# To activate this environment, use
#
# $ conda activate sage
#
# To deactivate an active environment, use
#
# $ conda deactivate
(base) d****@****** ~ $ conda activate sage
(sage) d****@****** ~ $ sage
ââââââââââââââââââââââââââââââââââââââââââââââââââââââââââââââââââââââ
â SageMath version 7.6, Release Date: 2017-03-25 â
â Type "notebook()" for the browser-based notebook interface. â
â Type "help()" for help. â
ââââââââââââââââââââââââââââââââââââââââââââââââââââââââââââââââââââââ
**********************************************************************
Oops, Sage crashed. We do our best to make it stable, but...
A crash report was automatically generated with the following information:
- A verbatim copy of the crash traceback.
- A copy of your input history during this session.
- Data on your current Sage configuration.
It was left in the file named:
'/****/*****/.sage/ipython-5.0.0/Sage_crash_report.txt'
If you can email this file to the developers, the information in it will help
them in understanding and correcting the problem.
You can mail it to: sage-support at sage-support@googlegroups.com
with the subject 'Sage Crash Report'.
If you want to do it now, the following command will work (under Unix):
mail -s 'Sage Crash Report' sage-support@googlegroups.com <
/****/*****/.sage/ipython-5.0.0/Sage_crash_report.txt
In your email, please also include information about:
- The operating system under which the crash happened: Linux, macOS, Windows,
other, and which exact version (for example: Ubuntu 16.04.3, macOS 10.13.2,
Windows 10 Pro), and whether it is 32-bit or 64-bit;
- How Sage was installed: using pip or conda, from GitHub, as part of
a Docker container, or other, providing more detail if possible;
- How to reproduce the crash: what exact sequence of instructions can one
input to get the same crash? Ideally, find a minimal yet complete sequence
of instructions that yields the crash.
To ensure accurate tracking of this issue, please file a report about it at:
http://trac.sagemath.org
Hit <Enter> to quit (your terminal may close):
(sage) d****@****** ~ $
***************************************************************************
IPython post-mortem report
{'commit_hash': u'033ab93c7',
'commit_source': 'installation',
'default_encoding': 'UTF-8',
'ipython_path':
'/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/IPython',
'ipython_version': '5.8.0',
'os_name': 'posix',
'platform': 'Linux-4.15.0-45-generic-x86_64-with-debian-buster-sid',
'sys_executable': '/***/******//miniconda3/envs/sage/bin/python',
'sys_platform': 'linux2',
'sys_version': '2.7.14 | packaged by conda-forge | (default, Dec 9 2017,
16:18:43) \n[GCC 4.8.2 20140120 (Red Hat 4.8.2-15)]'}
***************************************************************************
***************************************************************************
Crash traceback:
---------------------------------------------------------------------------
---------------------------------------------------------------------------
ImportError Python 2.7.14: /***/******//miniconda3/envs/sage/bin/python
Tue Feb 19 18:06:21 2019
A problem occurred executing Python code. Here is the sequence of function
calls leading up to the error, with the most recent (innermost) call last.
/***/******//miniconda3/envs/sage/bin/sage-ipython in <module>()
1 #!/***/******//miniconda3/envs/sage/bin/python
2 # -*- coding: utf-8 -*-
3 """
4 Sage IPython startup script.
5 """
6
7 from sage.repl.interpreter import SageTerminalApp
8
9 app = SageTerminalApp.instance()
---> 10 app.initialize()
global app.initialize = <bound method SageTerminalApp.initialize of
<sage.repl.interpreter.SageTerminalApp object at 0x7f9c21a4e090>>
11 app.start()
</***/******//miniconda3/envs/sage/lib/python2.7/site-packages/decorator.pyc:decorator-gen-110>
in initialize(self=<sage.repl.interpreter.SageTerminalApp object>, argv=None)
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/traitlets/config/application.pyc
in catch_config_error(method=<function initialize>,
app=<sage.repl.interpreter.SageTerminalApp object>, *args=(None,), **kwargs={})
72 TRAITLETS_APPLICATION_RAISE_CONFIG_FILE_ERROR = False
73 else:
74 raise ValueError("Unsupported value for environment variable:
'TRAITLETS_APPLICATION_RAISE_CONFIG_FILE_ERROR' is set to '%s' which is none of
{'0', '1', 'false', 'true', ''}."% _envvar )
75
76
77 @decorator
78 def catch_config_error(method, app, *args, **kwargs):
79 """Method decorator for catching invalid config
(Trait/ArgumentErrors) during init.
80
81 On a TraitError (generally caused by bad config), this will print
the trait's
82 message, and exit the app.
83
84 For use on init methods, to prevent invoking excepthook on invalid
input.
85 """
86 try:
---> 87 return method(app, *args, **kwargs)
method = <function initialize at 0x7f9c1b12a140>
app = <sage.repl.interpreter.SageTerminalApp object at 0x7f9c21a4e090>
args = (None,)
kwargs = {}
88 except (TraitError, ArgumentError) as e:
89 app.print_help()
90 app.log.fatal("Bad config encountered during initialization:")
91 app.log.fatal(str(e))
92 app.log.debug("Config at the time: %s", app.config)
93 app.exit(1)
94
95
96 class ApplicationError(Exception):
97 pass
98
99
100 class LevelFormatter(logging.Formatter):
101 """Formatter with additional `highlevel` record
102
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/IPython/terminal/ipapp.pyc
in initialize(self=<sage.repl.interpreter.SageTerminalApp object>, argv=None)
301
302 return super(TerminalIPythonApp, self).parse_command_line(argv)
303
304 @catch_config_error
305 def initialize(self, argv=None):
306 """Do actions after construct, but before starting the app."""
307 super(TerminalIPythonApp, self).initialize(argv)
308 if self.subapp is not None:
309 # don't bother initializing further, starting subapp
310 return
311 # print self.extra_args
312 if self.extra_args and not self.something_to_run:
313 self.file_to_run = self.extra_args[0]
314 self.init_path()
315 # create the shell
--> 316 self.init_shell()
self.init_shell = <bound method SageTerminalApp.init_shell of
<sage.repl.interpreter.SageTerminalApp object at 0x7f9c21a4e090>>
317 # and draw the banner
318 self.init_banner()
319 # Now a variety of things that happen after the banner is
printed.
320 self.init_gui_pylab()
321 self.init_extensions()
322 self.init_code()
323
324 def init_shell(self):
325 """initialize the InteractiveShell instance"""
326 # Create an InteractiveShell instance.
327 # shell.display_banner should always be False for the terminal
328 # based app, because we call shell.show_banner() by hand below
329 # so the banner shows *before* all extension loading stuff.
330 self.shell = self.interactive_shell_class.instance(parent=self,
331 profile_dir=self.profile_dir,
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/repl/interpreter.pyc
in init_shell(self=<sage.repl.interpreter.SageTerminalApp object>)
747 self.shell.has_sage_extensions = SAGE_EXTENSION in
self.extensions
748
749 # Load the %lprun extension if available
750 try:
751 import line_profiler
752 except ImportError:
753 pass
754 else:
755 self.extensions.append('line_profiler')
756
757 if self.shell.has_sage_extensions:
758 self.extensions.remove(SAGE_EXTENSION)
759
760 # load sage extension here to get a crash if
761 # something is wrong with the sage library
--> 762 self.shell.extension_manager.load_extension(SAGE_EXTENSION)
self.shell.extension_manager.load_extension = <bound method
ExtensionManager.load_extension of <IPython.core.extensions.ExtensionManager
object at 0x7f9c1a34dcd0>>
global SAGE_EXTENSION = 'sage'
763
764
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/IPython/core/extensions.pyc
in load_extension(self=<IPython.core.extensions.ExtensionManager object>,
module_str='sage')
70
71 Returns the string "already loaded" if the extension is already
loaded,
72 "no load function" if the module doesn't have a
load_ipython_extension
73 function, or None if it succeeded.
74 """
75 if module_str in self.loaded:
76 return "already loaded"
77
78 from IPython.utils.syspathcontext import prepended_to_syspath
79
80 with self.shell.builtin_trap:
81 if module_str not in sys.modules:
82 with prepended_to_syspath(self.ipython_extension_dir):
83 __import__(module_str)
84 mod = sys.modules[module_str]
---> 85 if self._call_load_ipython_extension(mod):
self._call_load_ipython_extension = <bound method
ExtensionManager._call_load_ipython_extension of
<IPython.core.extensions.ExtensionManager object at 0x7f9c1a34dcd0>>
mod = <module 'sage' from
'/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/__init__.pyc'>
86 self.loaded.add(module_str)
87 else:
88 return "no load function"
89
90 def unload_extension(self, module_str):
91 """Unload an IPython extension by its module name.
92
93 This function looks up the extension's name in ``sys.modules``
and
94 simply calls ``mod.unload_ipython_extension(self)``.
95
96 Returns the string "no unload function" if the extension
doesn't define
97 a function to unload itself, "not loaded" if the extension
isn't loaded,
98 otherwise None.
99 """
100 if module_str not in self.loaded:
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/IPython/core/extensions.pyc
in _call_load_ipython_extension(self=<IPython.core.extensions.ExtensionManager
object>, mod=<module 'sage' from
'/***/******//miniconda3/e...e/lib/python2.7/site-packages/sage/__init__.pyc'>)
117 """
118 from IPython.utils.syspathcontext import prepended_to_syspath
119
120 if (module_str in self.loaded) and (module_str in sys.modules):
121 self.unload_extension(module_str)
122 mod = sys.modules[module_str]
123 with prepended_to_syspath(self.ipython_extension_dir):
124 reload(mod)
125 if self._call_load_ipython_extension(mod):
126 self.loaded.add(module_str)
127 else:
128 self.load_extension(module_str)
129
130 def _call_load_ipython_extension(self, mod):
131 if hasattr(mod, 'load_ipython_extension'):
--> 132 mod.load_ipython_extension(self.shell)
mod.load_ipython_extension = <function load_ipython_extension at
0x7f9c21a41938>
self.shell = <sage.repl.interpreter.SageTerminalInteractiveShell object
at 0x7f9c1b0caa10>
133 return True
134
135 def _call_unload_ipython_extension(self, mod):
136 if hasattr(mod, 'unload_ipython_extension'):
137 mod.unload_ipython_extension(self.shell)
138 return True
139
140 def install_extension(self, url, filename=None):
141 """Download and install an IPython extension.
142
143 If filename is given, the file will be so named (inside the
extension
144 directory). Otherwise, the name from the URL will be used. The
file must
145 have a .py or .zip extension; otherwise, a ValueError will be
raised.
146
147 Returns the full path to the installed file.
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/__init__.pyc
in
load_ipython_extension(*args=(<sage.repl.interpreter.SageTerminalInteractiveShell
object>,))
1 __all__ = ['all']
2
3 # IPython calls this when starting up
4 def load_ipython_extension(*args):
5 import sage.repl.ipython_extension
----> 6 sage.repl.ipython_extension.load_ipython_extension(*args)
sage.repl.ipython_extension.load_ipython_extension = <function
load_ipython_extension at 0x7f9c1a1048c0>
args = (<sage.repl.interpreter.SageTerminalInteractiveShell object at
0x7f9c1b0caa10>,)
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/repl/ipython_extension.pyc
in wrapper(*args=(<sage.repl.interpreter.SageTerminalInteractiveShell
object>,), **kwargs={})
490 ....: if work:
491 ....: return 'foo worked'
492 ....: raise RuntimeError("foo didn't work")
493 sage: foo(False)
494 Traceback (most recent call last):
495 ...
496 RuntimeError: foo didn't work
497 sage: foo(True)
498 'foo worked'
499 sage: foo(False)
500 sage: foo(True)
501 """
502 @wraps(func)
503 def wrapper(*args, **kwargs):
504 if not wrapper.has_run:
--> 505 result = func(*args, **kwargs)
result = undefined
global func = undefined
args = (<sage.repl.interpreter.SageTerminalInteractiveShell object at
0x7f9c1b0caa10>,)
kwargs = {}
506 wrapper.has_run = True
507 return result
508 wrapper.has_run = False
509 return wrapper
510
511
512 @run_once
513 def load_ipython_extension(ip):
514 """
515 Load the extension in IPython.
516 """
517 # this modifies ip
518 SageCustomizations(shell=ip)
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/repl/ipython_extension.pyc
in
load_ipython_extension(ip=<sage.repl.interpreter.SageTerminalInteractiveShell
object>)
503 def wrapper(*args, **kwargs):
504 if not wrapper.has_run:
505 result = func(*args, **kwargs)
506 wrapper.has_run = True
507 return result
508 wrapper.has_run = False
509 return wrapper
510
511
512 @run_once
513 def load_ipython_extension(ip):
514 """
515 Load the extension in IPython.
516 """
517 # this modifies ip
--> 518 SageCustomizations(shell=ip)
global SageCustomizations = <class
'sage.repl.ipython_extension.SageCustomizations'>
global shell = undefined
ip = <sage.repl.interpreter.SageTerminalInteractiveShell object at
0x7f9c1b0caa10>
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/repl/ipython_extension.pyc
in __init__(self=<sage.repl.ipython_extension.SageCustomizations object>,
shell=<sage.repl.interpreter.SageTerminalInteractiveShell object>)
361 def __init__(self, shell=None):
362 """
363 Initialize the Sage plugin.
364 """
365 self.shell = shell
366
367 self.auto_magics = SageMagics(shell)
368 self.shell.register_magics(self.auto_magics)
369
370 import sage.misc.edit_module as edit_module
371 self.shell.set_hook('editor', edit_module.edit_devel)
372
373 self.init_inspector()
374 self.init_line_transforms()
375
--> 376 import sage.all # until sage's import hell is fixed
sage.all = undefined
377
378 self.shell.verbose_quit = True
379 self.set_quit_hook()
380
381 self.register_interface_magics()
382
383 if SAGE_IMPORTALL == 'yes':
384 self.init_environment()
385
386 def register_interface_magics(self):
387 """
388 Register magics for each of the Sage interfaces
389 """
390 from sage.repl.interface_magic import InterfaceMagic
391 InterfaceMagic.register_all(self.shell)
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/all.py in
<module>()
88
89 from time import sleep
90
91 import sage.misc.lazy_import
92 from sage.misc.all import * # takes a while
93 from sage.typeset.all import *
94 from sage.repl.all import *
95
96 from sage.misc.sh import sh
97
98 from sage.libs.all import *
99 from sage.data_structures.all import *
100 from sage.doctest.all import *
101
102 from sage.structure.all import *
--> 103 from sage.rings.all import *
global sage.rings.all = undefined
104 from sage.arith.all import *
105 from sage.matrix.all import *
106
107 from sage.symbolic.all import *
108 from sage.modules.all import *
109 from sage.monoids.all import *
110 from sage.algebras.all import *
111 from sage.modular.all import *
112 from sage.sat.all import *
113 from sage.schemes.all import *
114 from sage.graphs.all import *
115 from sage.groups.all import *
116 from sage.databases.all import *
117 from sage.categories.all import *
118 from sage.sets.all import *
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/rings/all.py
in <module>()
39
40 # Rational numbers
41 from .rational_field import RationalField, QQ
42 from .rational import Rational
43 Rationals = RationalField
44
45 # Integers modulo n.
46 from sage.rings.finite_rings.integer_mod_ring import IntegerModRing,
Zmod
47 from sage.rings.finite_rings.integer_mod import IntegerMod, Mod, mod
48 Integers = IntegerModRing
49
50 # Finite fields
51 from .finite_rings.all import *
52
53 # Number field
---> 54 from .number_field.all import *
global number_field.all = undefined
55
56 # Function field
57 from .function_field.all import *
58
59 # Finite residue fields
60 from .finite_rings.residue_field import ResidueField
61
62 # p-adic field
63 from .padics.all import *
64 from .padics.padic_printing import _printer_defaults as padic_printing
65
66 # Semirings
67 from .semirings.all import *
68
69 # Real numbers
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/rings/number_field/all.py
in <module>()
1 from __future__ import absolute_import
2
3 from .number_field import (NumberField, NumberFieldTower,
CyclotomicField, QuadraticField,
4 is_fundamental_discriminant)
5 from .number_field_element import NumberFieldElement
6
7 from .order import EquationOrder, GaussianIntegers, EisensteinIntegers
8
----> 9 from .totallyreal import enumerate_totallyreal_fields_prim
global totallyreal = undefined
global enumerate_totallyreal_fields_prim = undefined
10 from .totallyreal_data import hermite_constant
11 from .totallyreal_rel import enumerate_totallyreal_fields_all,
enumerate_totallyreal_fields_rel
12
13 from .unit_group import UnitGroup
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/rings/number_field/totallyreal_data.pxd
in init sage.rings.number_field.totallyreal
(/feedstock_root/build_artefacts/sagelib_1496649974235/work/sage-7.6/build/cythonized/sage/rings/number_field/totallyreal.c:12569)()
1 cdef double eval_seq_as_poly(int *f, int n, double x)
2 cdef double newton(int *f, int *df, int n, double x0, double eps)
3 cdef void newton_in_intervals(int *f, int *df, int n, double *beta,
double eps, double *rts)
4 cpdef lagrange_degree_3(int n, int an1, int an2, int an3)
5
6 cimport sage.rings.integer
7
8 cdef int eval_seq_as_poly_int(int *f, int n, int x)
9
10 cdef int easy_is_irreducible(int *a, int n)
11
---> 12 cdef class tr_data:
global cdef = undefined
global tr_data = undefined
13
14 cdef int n, k
15 cdef double B
16 cdef double b_lower, b_upper, gamma
17
18 cdef int *a
19 cdef int *amax
20 cdef double *beta
21 cdef int *gnk
22
23 cdef int *df
24
25 cdef void incr(self, int *f_out, int verbose, int haltk, int phc)
26
sage/rings/number_field/totallyreal_data.pyx in init
sage.rings.number_field.totallyreal_data
(/feedstock_root/build_artefacts/sagelib_1496649974235/work/sage-7.6/build/cythonized/sage/rings/number_field/totallyreal_data.c:13278)()
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/rings/polynomial/polynomial_ring_constructor.pyc
in PolynomialRing(base_ring=Integer Ring, arg1='x', arg2=None, sparse=False,
order='degrevlex', names=None, name='x', var_array=None, implementation=None)
446 arg2 = [str(x) for x in arg2]
447 if isinstance(arg2, (int, long, Integer)):
448 # 3. PolynomialRing(base_ring, names, n, order='degrevlex'):
449 if not isinstance(arg1, (list, tuple, str)):
450 raise TypeError("You *must* specify the names of the
variables.")
451 n = int(arg2)
452 names = arg1
453 R = _multi_variate(base_ring, names, n, sparse, order,
implementation)
454
455 elif isinstance(arg1, str) or (isinstance(arg1, (list,tuple)) and
len(arg1) == 1):
456 if not ',' in arg1:
457 # 1. PolynomialRing(base_ring, name, sparse=False):
458 if not arg2 is None:
459 raise TypeError("if second arguments is a string with
no commas, then there must be no other non-optional arguments")
460 name = arg1
--> 461 R = _single_variate(base_ring, name, sparse, implementation)
R = None
global _single_variate = <function _single_variate at 0x7f9afd826cf8>
base_ring = Integer Ring
name = 'x'
sparse = False
implementation = None
462 else:
463 # 2-4. PolynomialRing(base_ring, names, order='degrevlex'):
464 if not arg2 is None:
465 raise TypeError("invalid input to PolynomialRing
function; please see the docstring for that function")
466 names = arg1.split(',')
467 R = _multi_variate(base_ring, names, -1, sparse, order,
implementation)
468 elif isinstance(arg1, (list, tuple)):
469 # PolynomialRing(base_ring, names (list or tuple),
order='degrevlex'):
470 names = arg1
471 R = _multi_variate(base_ring, names, -1, sparse, order,
implementation)
472
473 if arg1 is None and arg2 is None:
474 raise TypeError("you *must* specify the indeterminates (as not
None).")
475 if R is None:
476 raise TypeError("invalid input (%s, %s, %s) to PolynomialRing
function; please see the docstring for that function"%(
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/rings/polynomial/polynomial_ring_constructor.pyc
in _single_variate(base_ring=Integer Ring, name=('x',), sparse=False,
implementation=None)
524 R =
m.PolynomialRing_dense_padic_ring_capped_absolute(base_ring, name)
525
526 elif isinstance(base_ring, padic_base_leaves.pAdicRingFixedMod):
527 R = m.PolynomialRing_dense_padic_ring_fixed_mod(base_ring,
name)
528
529 elif base_ring in _CompleteDiscreteValuationRings:
530 R = m.PolynomialRing_cdvr(base_ring, name, sparse)
531
532 elif base_ring in _CompleteDiscreteValuationFields:
533 R = m.PolynomialRing_cdvf(base_ring, name, sparse)
534
535 elif base_ring.is_field(proof = False):
536 R = m.PolynomialRing_field(base_ring, name, sparse)
537
538 elif base_ring.is_integral_domain(proof = False):
--> 539 R = m.PolynomialRing_integral_domain(base_ring, name,
sparse, implementation)
R = None
m.PolynomialRing_integral_domain = <class
'sage.rings.polynomial.polynomial_ring.PolynomialRing_integral_domain'>
base_ring = Integer Ring
name = ('x',)
sparse = False
implementation = None
540 else:
541 R = m.PolynomialRing_commutative(base_ring, name, sparse)
542 else:
543 R = m.PolynomialRing_general(base_ring, name, sparse)
544
545 if hasattr(R, '_implementation_names'):
546 for name in R._implementation_names:
547 real_key = key[0:3] + (name,)
548 _save_in_cache(real_key, R)
549 else:
550 _save_in_cache(key, R)
551 return R
552
553 def _multi_variate(base_ring, names, n, sparse, order, implementation):
554 # if not sparse:
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/rings/polynomial/polynomial_ring.pyc
in __init__(self=Univariate Polynomial Ring in x over Integer Ring,
base_ring=Integer Ring, name=('x',), sparse=False, implementation=None,
element_class=<type
'sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint'>,
category=None)
1588 if is_IntegerRing(base_ring) and not sparse:
1589 if implementation == 'NTL':
1590 from
sage.rings.polynomial.polynomial_integer_dense_ntl \
1591 import Polynomial_integer_dense_ntl
1592 element_class = Polynomial_integer_dense_ntl
1593 self._implementation_names = ('NTL',)
1594 self._implementation_repr = ' (using NTL)'
1595 elif implementation == 'FLINT' or implementation is
None:
1596 from
sage.rings.polynomial.polynomial_integer_dense_flint \
1597 import Polynomial_integer_dense_flint
1598 element_class = Polynomial_integer_dense_flint
1599 self._implementation_names = (None, 'FLINT')
1600 else:
1601 raise ValueError("Unknown implementation %s for
ZZ[x]"%implementation)
1602 PolynomialRing_commutative.__init__(self, base_ring, name=name,
-> 1603 sparse=sparse, element_class=element_class,
category=category)
sparse = False
element_class = <type
'sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint'>
category = None
1604
1605 def _repr_(self):
1606 """
1607 TESTS::
1608
1609 sage: from sage.rings.polynomial.polynomial_ring import
PolynomialRing_integral_domain as PRing
1610 sage: R = PRing(ZZ, 'x', implementation='NTL'); R
1611 Univariate Polynomial Ring in x over Integer Ring (using
NTL)
1612 """
1613 s = PolynomialRing_commutative._repr_(self)
1614 return s + self._implementation_repr
1615
1616
1617 class PolynomialRing_field(PolynomialRing_integral_domain,
1618 PolynomialRing_singular_repr,
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/rings/polynomial/polynomial_ring.pyc
in __init__(self=Univariate Polynomial Ring in x over Integer Ring,
base_ring=Integer Ring, name=('x',), sparse=False, element_class=<type
'sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint'>,
category=Join of Category of unique factorization domains...s and infinite
enumerated sets and metric spaces))
1459 if max_degree is not None and of_degree is None:
1460 return self._monics_max( max_degree )
1461 raise ValueError("you should pass exactly one of of_degree and
max_degree")
1462
1463 class PolynomialRing_commutative(PolynomialRing_general,
commutative_algebra.CommutativeAlgebra):
1464 """
1465 Univariate polynomial ring over a commutative ring.
1466 """
1467 def __init__(self, base_ring, name=None, sparse=False,
element_class=None, category=None):
1468 if base_ring not in _CommutativeRings:
1469 raise TypeError("Base ring %s must be a commutative
ring."%repr(base_ring))
1470 # We trust that, if a category is given, that it is useful.
1471 if category is None:
1472 category =
polynomial_default_category(base_ring.category(),False)
1473 PolynomialRing_general.__init__(self, base_ring, name=name,
-> 1474 sparse=sparse, element_class=element_class,
category=category)
sparse = False
element_class = <type
'sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint'>
category = Join of Category of unique factorization domains and
Category of commutative algebras over (euclidean domains and infinite
enumerated sets and metric spaces)
1475
1476 def quotient_by_principal_ideal(self, f, names=None):
1477 """
1478 Return the quotient of this polynomial ring by the principal
1479 ideal (generated by) `f`.
1480
1481 INPUT:
1482
1483 - ``f`` - either a polynomial in ``self``, or a principal
1484 ideal of ``self``.
1485
1486 EXAMPLES::
1487
1488 sage: R.<x> = QQ[]
1489 sage: I = (x^2-1)*R
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/rings/polynomial/polynomial_ring.pyc
in __init__(self=Univariate Polynomial Ring in x over Integer Ring,
base_ring=Integer Ring, name=('x',), sparse=False, element_class=<type
'sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint'>,
category=Join of Category of unique factorization domains...s and infinite
enumerated sets and metric spaces))
275 self._has_singular = False
276 # Algebra.__init__ also calls __init_extra__ of
Algebras(...).parent_class, which
277 # tries to provide a conversion from the base ring, if it does
not exist.
278 # This is for algebras that only do the generic stuff in their
initialisation.
279 # But the attribute _no_generic_basering_coercion prevents that
from happening,
280 # since we want to use PolynomialBaseringInjection.
281 sage.algebras.algebra.Algebra.__init__(self, base_ring,
names=name, normalize=True, category=category)
282 self.__generator = self.element_class(self, [0,1], is_gen=True)
283 self._populate_coercion_lists_(
284 #coerce_list = [base_inject],
285 #convert_list = [list, base_inject],
286 convert_method_name = '_polynomial_')
287 if is_PolynomialRing(base_ring):
288 self._Karatsuba_threshold = 0
289 else:
--> 290 from sage.matrix.matrix_space import MatrixSpace
global sage.matrix.matrix_space = undefined
MatrixSpace = undefined
291 if isinstance(base_ring, MatrixSpace):
292 self._Karatsuba_threshold = 0
293 else:
294 self._Karatsuba_threshold = 8
295
296 def __reduce__(self):
297 import sage.rings.polynomial.polynomial_ring_constructor
298 return
(sage.rings.polynomial.polynomial_ring_constructor.PolynomialRing,
299 (self.base_ring(), self.variable_name(), None,
self.is_sparse()))
300
301
302 def _element_constructor_(self, x=None, check=True, is_gen=False,
303 construct=False, **kwds):
304 r"""
305 Convert ``x`` into this univariate polynomial ring,
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/matrix/matrix_space.pyc
in <module>()
33
#*****************************************************************************
34 from __future__ import print_function, absolute_import
35 from six.moves import range
36 from six import iteritems
37
38 # System imports
39 import sys
40 import types
41 import operator
42
43 # Sage matrix imports
44 from . import matrix
45 from . import matrix_generic_dense
46 from . import matrix_generic_sparse
47
---> 48 from . import matrix_modn_sparse
global matrix_modn_sparse = undefined
49
50 from . import matrix_mod2_dense
51 from . import matrix_gf2e_dense
52
53 from . import matrix_integer_dense
54 from . import matrix_integer_sparse
55
56 from . import matrix_rational_dense
57 from . import matrix_rational_sparse
58
59 from . import matrix_polynomial_dense
60 from . import matrix_mpolynomial_dense
61
62 # Sage imports
63 from sage.misc.superseded import deprecation
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/matrix/matrix_integer_dense.pxd
in init sage.matrix.matrix_modn_sparse
(/feedstock_root/build_artefacts/sagelib_1496649974235/work/sage-7.6/build/cythonized/sage/matrix/matrix_modn_sparse.c:15049)()
1 from sage.libs.gmp.types cimport *
2 from sage.libs.flint.types cimport fmpz_mat_t
3
4 from .matrix_dense cimport Matrix_dense
5 from sage.rings.integer cimport Integer
6 from sage.ext.mod_int cimport *
7
8 ctypedef long* GEN
9
---> 10 cdef class Matrix_integer_dense(Matrix_dense):
global cdef = undefined
global Matrix_integer_dense = undefined
global Matrix_dense = undefined
11 cdef fmpz_mat_t _matrix # Always initialized in __cinit__
12 cdef bint _initialized_mpz
13 cdef mpz_t * _entries # Only used if _initialized_mpz
14 cdef mpz_t ** _rows # Only used if _initialized_mpz
15 cdef object _pivots
16 cdef int mpz_height(self, mpz_t height) except -1
17 cdef _mod_int_c(self, mod_int modulus)
18 cdef _mod_two(self)
19 cdef _pickle_version0(self)
20 cdef _unpickle_version0(self, data)
21 cpdef _export_as_string(self, int base=?)
22 cdef inline int _init_mpz(self) except -1
23 cdef int _init_mpz_impl(self) except -1
24 cdef inline int _init_linbox(self) except -1
25 cdef void _dealloc_mpz(self)
26 cdef void set_unsafe_mpz(self, Py_ssize_t i, Py_ssize_t j, const
mpz_t value)
27 cdef void set_unsafe_si(self, Py_ssize_t i, Py_ssize_t j, long
value)
28 cdef void set_unsafe_double(self, Py_ssize_t i, Py_ssize_t j,
double value)
29 cdef inline void get_unsafe_mpz(self, Py_ssize_t i, Py_ssize_t j,
mpz_t value)
30 cdef inline double get_unsafe_double(self, Py_ssize_t i, Py_ssize_t
j)
31
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/matrix/matrix_modn_dense_template_header.pxi
in init sage.matrix.matrix_integer_dense
(/feedstock_root/build_artefacts/sagelib_1496649974235/work/sage-7.6/build/cythonized/sage/matrix/matrix_integer_dense.c:57312)()
1 """
2 Dense Matrix Template for C/C++ Library Interfaces
3 """
4
5 from sage.ext.mod_int cimport *
6 from sage.matrix.matrix_dense cimport Matrix_dense
7
----> 8 cdef class Matrix_modn_dense_template(Matrix_dense):
global cdef = undefined
global Matrix_modn_dense_template = undefined
global Matrix_dense = undefined
9 cdef celement **_matrix
10 cdef celement *_entries
11 cdef mod_int p
12 cdef xgcd_eliminate (self, celement * row1, celement* row2,
Py_ssize_t start_col)
13 cdef set_unsafe_int(self, Py_ssize_t i, Py_ssize_t j, int value)
14 cpdef _export_as_string(self)
15 cdef int _copy_row_to_mod_int_array(self, mod_int *to, Py_ssize_t i)
ImportError:
/***/******//miniconda3/envs/sage/lib/python2.7/site-packages/sage/matrix/../../../../liblinboxsage.so.0:
undefined symbol: _ZNK6Givaro7IntegercvSsEv
***************************************************************************
History of session input:
*** Last line of input (may not be in above history):
