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***************************************************************************
IPython post-mortem report
{'commit_hash': u'a1b60f2',
'commit_source': 'installation',
'default_encoding': 'UTF-8',
'ipython_path':
'/opt/sage/sage-6.10/local/lib/python2.7/site-packages/IPython',
'ipython_version': '4.0.0',
'os_name': 'posix',
'platform': 'Linux-3.13.0-24-generic-x86_64-with-debian-jessie-sid',
'sys_executable': '/opt/sage/sage-6.10/local/bin/python',
'sys_platform': 'linux2',
'sys_version': '2.7.10 (default, Dec 21 2015, 09:55:02) \n[GCC 4.9.2]'}
***************************************************************************
***************************************************************************
Crash traceback:
---------------------------------------------------------------------------
---------------------------------------------------------------------------
ImportError Python 2.7.10: /opt/sage/sage-6.10/local/bin/python
Fri Jan 15 19:11:21 2016
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.
/opt/sage/sage-6.10/src/bin/sage-ipython in <module>()
1 #!/usr/bin/env python
2 # -*- coding: utf-8 -*-
3 """
4 Sage IPython startup script.
5 """
6
7 # Install extra readline commands before IPython initialization
8 from sage.repl.readline_extra_commands import *
9
10 from sage.repl.interpreter import SageTerminalApp
11
12 app = SageTerminalApp.instance()
---> 13 app.initialize()
global app.initialize = <bound method SageTerminalApp.initialize of
<sage.repl.interpreter.SageTerminalApp object at 0x7f78b52bba10>>
14 app.start()
/opt/sage/sage-6.10/local/lib/python2.7/site-packages/IPython/terminal/ipapp.pyc
in initialize(self=<sage.repl.interpreter.SageTerminalApp object>, argv=None)
/opt/sage/sage-6.10/local/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={})
60
61
#-----------------------------------------------------------------------------
62 # Application class
63
#-----------------------------------------------------------------------------
64
65 @decorator
66 def catch_config_error(method, app, *args, **kwargs):
67 """Method decorator for catching invalid config
(Trait/ArgumentErrors) during init.
68
69 On a TraitError (generally caused by bad config), this will print
the trait's
70 message, and exit the app.
71
72 For use on init methods, to prevent invoking excepthook on invalid
input.
73 """
74 try:
---> 75 return method(app, *args, **kwargs)
method = <function initialize at 0x7f78ae7c00c8>
app = <sage.repl.interpreter.SageTerminalApp object at 0x7f78b52bba10>
args = (None,)
kwargs = {}
76 except (TraitError, ArgumentError) as e:
77 app.print_help()
78 app.log.fatal("Bad config encountered during initialization:")
79 app.log.fatal(str(e))
80 app.log.debug("Config at the time: %s", app.config)
81 app.exit(1)
82
83
84 class ApplicationError(Exception):
85 pass
86
87 class LevelFormatter(logging.Formatter):
88 """Formatter with additional `highlevel` record
89
90 This field is empty if log level is less than highlevel_limit,
/opt/sage/sage-6.10/local/lib/python2.7/site-packages/IPython/terminal/ipapp.pyc
in initialize(self=<sage.repl.interpreter.SageTerminalApp object>, argv=None)
299
300 return super(TerminalIPythonApp, self).parse_command_line(argv)
301
302 @catch_config_error
303 def initialize(self, argv=None):
304 """Do actions after construct, but before starting the app."""
305 super(TerminalIPythonApp, self).initialize(argv)
306 if self.subapp is not None:
307 # don't bother initializing further, starting subapp
308 return
309 # print self.extra_args
310 if self.extra_args and not self.something_to_run:
311 self.file_to_run = self.extra_args[0]
312 self.init_path()
313 # create the shell
--> 314 self.init_shell()
self.init_shell = <bound method SageTerminalApp.init_shell of
<sage.repl.interpreter.SageTerminalApp object at 0x7f78b52bba10>>
315 # and draw the banner
316 self.init_banner()
317 # Now a variety of things that happen after the banner is
printed.
318 self.init_gui_pylab()
319 self.init_extensions()
320 self.init_code()
321
322 def init_shell(self):
323 """initialize the InteractiveShell instance"""
324 # Create an InteractiveShell instance.
325 # shell.display_banner should always be False for the terminal
326 # based app, because we call shell.show_banner() by hand below
327 # so the banner shows *before* all extension loading stuff.
328 self.shell = TerminalInteractiveShell.instance(parent=self,
329 display_banner=False,
profile_dir=self.profile_dir,
/opt/sage/sage-6.10/local/lib/python2.7/site-packages/sage/repl/interpreter.pyc
in init_shell(self=<sage.repl.interpreter.SageTerminalApp object>)
793 self.shell.has_sage_extensions = SAGE_EXTENSION in
self.extensions
794
795 # Load the %lprun extension if available
796 try:
797 import line_profiler
798 except ImportError:
799 pass
800 else:
801 self.extensions.append('line_profiler')
802
803 if self.shell.has_sage_extensions:
804 self.extensions.remove(SAGE_EXTENSION)
805
806 # load sage extension here to get a crash if
807 # something is wrong with the sage library
--> 808 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 0x7f78ad42ea10>>
global SAGE_EXTENSION = 'sage'
809
810
/opt/sage/sage-6.10/local/lib/python2.7/site-packages/IPython/core/extensions.pyc
in load_extension(self=<IPython.core.extensions.ExtensionManager object>,
module_str='sage')
76
77 Returns the string "already loaded" if the extension is already
loaded,
78 "no load function" if the module doesn't have a
load_ipython_extension
79 function, or None if it succeeded.
80 """
81 if module_str in self.loaded:
82 return "already loaded"
83
84 from IPython.utils.syspathcontext import prepended_to_syspath
85
86 with self.shell.builtin_trap:
87 if module_str not in sys.modules:
88 with prepended_to_syspath(self.ipython_extension_dir):
89 __import__(module_str)
90 mod = sys.modules[module_str]
---> 91 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 0x7f78ad42ea10>>
mod = <module 'sage' from
'/opt/sage/sage-6.10/local/lib/python2.7/site-packages/sage/__init__.pyc'>
92 self.loaded.add(module_str)
93 else:
94 return "no load function"
95
96 def unload_extension(self, module_str):
97 """Unload an IPython extension by its module name.
98
99 This function looks up the extension's name in ``sys.modules``
and
100 simply calls ``mod.unload_ipython_extension(self)``.
101
102 Returns the string "no unload function" if the extension
doesn't define
103 a function to unload itself, "not loaded" if the extension
isn't loaded,
104 otherwise None.
105 """
106 if module_str not in self.loaded:
/opt/sage/sage-6.10/local/lib/python2.7/site-packages/IPython/core/extensions.pyc
in _call_load_ipython_extension(self=<IPython.core.extensions.ExtensionManager
object>, mod=<module 'sage' from
'/opt/sage/sage-6.10/local/lib/python2.7/site-packages/sage/__init__.pyc'>)
123 """
124 from IPython.utils.syspathcontext import prepended_to_syspath
125
126 if (module_str in self.loaded) and (module_str in sys.modules):
127 self.unload_extension(module_str)
128 mod = sys.modules[module_str]
129 with prepended_to_syspath(self.ipython_extension_dir):
130 reload(mod)
131 if self._call_load_ipython_extension(mod):
132 self.loaded.add(module_str)
133 else:
134 self.load_extension(module_str)
135
136 def _call_load_ipython_extension(self, mod):
137 if hasattr(mod, 'load_ipython_extension'):
--> 138 mod.load_ipython_extension(self.shell)
mod.load_ipython_extension = <function load_ipython_extension at
0x7f78b52bcb90>
self.shell = <sage.repl.interpreter.SageTerminalInteractiveShell object
at 0x7f78ae7c24d0>
139 return True
140
141 def _call_unload_ipython_extension(self, mod):
142 if hasattr(mod, 'unload_ipython_extension'):
143 mod.unload_ipython_extension(self.shell)
144 return True
145
146 def install_extension(self, url, filename=None):
147 """Download and install an IPython extension.
148
149 If filename is given, the file will be so named (inside the
extension
150 directory). Otherwise, the name from the URL will be used. The
file must
151 have a .py or .zip extension; otherwise, a ValueError will be
raised.
152
153 Returns the full path to the installed file.
/opt/sage/sage-6.10/local/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 0x7f78ad43f7d0>
args = (<sage.repl.interpreter.SageTerminalInteractiveShell object at
0x7f78ae7c24d0>,)
/opt/sage/sage-6.10/local/lib/python2.7/site-packages/sage/repl/ipython_extension.pyc
in wrapper(*args=(<sage.repl.interpreter.SageTerminalInteractiveShell
object>,), **kwargs={})
448 ....: if work:
449 ....: return 'foo worked'
450 ....: raise RuntimeError("foo didn't work")
451 sage: foo(False)
452 Traceback (most recent call last):
453 ...
454 RuntimeError: foo didn't work
455 sage: foo(True)
456 'foo worked'
457 sage: foo(False)
458 sage: foo(True)
459 """
460 @wraps(func)
461 def wrapper(*args, **kwargs):
462 if not wrapper.has_run:
--> 463 result = func(*args, **kwargs)
result = undefined
global func = undefined
args = (<sage.repl.interpreter.SageTerminalInteractiveShell object at
0x7f78ae7c24d0>,)
kwargs = {}
464 wrapper.has_run = True
465 return result
466 wrapper.has_run = False
467 return wrapper
468
469
470 @run_once
471 def load_ipython_extension(ip):
472 """
473 Load the extension in IPython.
474 """
475 # this modifies ip
476 SageCustomizations(shell=ip)
/opt/sage/sage-6.10/local/lib/python2.7/site-packages/sage/repl/ipython_extension.pyc
in
load_ipython_extension(ip=<sage.repl.interpreter.SageTerminalInteractiveShell
object>)
461 def wrapper(*args, **kwargs):
462 if not wrapper.has_run:
463 result = func(*args, **kwargs)
464 wrapper.has_run = True
465 return result
466 wrapper.has_run = False
467 return wrapper
468
469
470 @run_once
471 def load_ipython_extension(ip):
472 """
473 Load the extension in IPython.
474 """
475 # this modifies ip
--> 476 SageCustomizations(shell=ip)
global SageCustomizations = <class
'sage.repl.ipython_extension.SageCustomizations'>
global shell = undefined
ip = <sage.repl.interpreter.SageTerminalInteractiveShell object at
0x7f78ae7c24d0>
/opt/sage/sage-6.10/local/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>)
330 """
331 self.shell = shell
332
333 self.auto_magics = SageMagics(shell)
334 self.shell.register_magics(self.auto_magics)
335
336 import sage.misc.edit_module as edit_module
337 self.shell.set_hook('editor', edit_module.edit_devel)
338
339 self.init_inspector()
340 self.init_line_transforms()
341
342 import inputhook
343 inputhook.install()
344
--> 345 import sage.all # until sage's import hell is fixed
sage.all = undefined
346
347 self.shell.verbose_quit = True
348 self.set_quit_hook()
349
350 self.register_interface_magics()
351
352 if SAGE_IMPORTALL == 'yes':
353 self.init_environment()
354
355
356 def register_interface_magics(self):
357 """
358 Register magics for each of the Sage interfaces
359 """
360 from sage.misc.superseded import deprecation
/opt/sage/sage-6.10/local/lib/python2.7/site-packages/sage/all.py in <module>()
84 from sage.misc.all import * # takes a while
85 from sage.typeset.all import *
86 from sage.repl.all import *
87
88 from sage.misc.sh import sh
89
90 from sage.libs.all import *
91 from sage.data_structures.all import *
92 from sage.doctest.all import *
93 try:
94 from sage.dev.all import *
95 except ImportError:
96 pass # dev scripts are disabled
97
98 from sage.structure.all import *
---> 99 from sage.rings.all import *
global sage.rings.all = undefined
100 from sage.matrix.all import *
101
102 # This must come before Calculus -- it initializes the Pynac library.
103 import sage.symbolic.pynac
104
105 from sage.modules.all import *
106 from sage.monoids.all import *
107 from sage.algebras.all import *
108 from sage.modular.all import *
109 from sage.sat.all import *
110 from sage.schemes.all import *
111 from sage.graphs.all import *
112 from sage.groups.all import *
113 from sage.databases.all import *
114 from sage.categories.all import *
/opt/sage/sage-6.10/local/lib/python2.7/site-packages/sage/rings/all.py in
<module>()
47
48 # Rational numbers
49 from rational_field import RationalField, QQ
50 from rational import Rational
51 Rationals = RationalField
52
53 # Integers modulo n.
54 from sage.rings.finite_rings.integer_mod_ring import IntegerModRing,
Zmod
55 from sage.rings.finite_rings.integer_mod import IntegerMod, Mod, mod
56 Integers = IntegerModRing
57
58 # Finite fields
59 from finite_rings.all import *
60
61 # Number field
---> 62 from number_field.all import *
global number_field.all = undefined
63
64 # Function field
65 from function_field.all import *
66
67 # Finite residue fields
68 from finite_rings.residue_field import ResidueField
69
70 # p-adic field
71 from padics.all import *
72 from padics.padic_printing import _printer_defaults as padic_printing
73
74 # Semirings
75 from semirings.all import *
76
77 # Real numbers
/opt/sage/sage-6.10/local/lib/python2.7/site-packages/sage/rings/number_field/all.py
in <module>()
1 from number_field import (NumberField, NumberFieldTower,
CyclotomicField, QuadraticField,
2 is_fundamental_discriminant)
3 from number_field_element import NumberFieldElement
4
5 from order import EquationOrder
6
----> 7 from totallyreal import enumerate_totallyreal_fields_prim
global totallyreal = undefined
global enumerate_totallyreal_fields_prim = undefined
8 from totallyreal_data import hermite_constant
9 from totallyreal_rel import enumerate_totallyreal_fields_all,
enumerate_totallyreal_fields_rel
10
11 from unit_group import UnitGroup
/opt/sage/sage-6.10/local/lib/python2.7/site-packages/sage/rings/number_field/totallyreal_data.pxd
in init sage.rings.number_field.totallyreal
(/opt/sage/sage-6.10/src/build/cythonized/sage/rings/number_field/totallyreal.c:10979)()
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
(/opt/sage/sage-6.10/src/build/cythonized/sage/rings/number_field/totallyreal_data.c:11690)()
/opt/sage/sage-6.10/local/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)
444 arg2 = [str(x) for x in arg2]
445 if isinstance(arg2, (int, long, Integer)):
446 # 3. PolynomialRing(base_ring, names, n, order='degrevlex'):
447 if not isinstance(arg1, (list, tuple, str)):
448 raise TypeError("You *must* specify the names of the
variables.")
449 n = int(arg2)
450 names = arg1
451 R = _multi_variate(base_ring, names, n, sparse, order,
implementation)
452
453 elif isinstance(arg1, str) or (isinstance(arg1, (list,tuple)) and
len(arg1) == 1):
454 if not ',' in arg1:
455 # 1. PolynomialRing(base_ring, name, sparse=False):
456 if not arg2 is None:
457 raise TypeError("if second arguments is a string with
no commas, then there must be no other non-optional arguments")
458 name = arg1
--> 459 R = _single_variate(base_ring, name, sparse, implementation)
R = None
global _single_variate = <function _single_variate at 0x7f78b1fec320>
base_ring = Integer Ring
name = 'x'
sparse = False
implementation = None
460 else:
461 # 2-4. PolynomialRing(base_ring, names, order='degrevlex'):
462 if not arg2 is None:
463 raise TypeError("invalid input to PolynomialRing
function; please see the docstring for that function")
464 names = arg1.split(',')
465 R = _multi_variate(base_ring, names, -1, sparse, order,
implementation)
466 elif isinstance(arg1, (list, tuple)):
467 # PolynomialRing(base_ring, names (list or tuple),
order='degrevlex'):
468 names = arg1
469 R = _multi_variate(base_ring, names, -1, sparse, order,
implementation)
470
471 if arg1 is None and arg2 is None:
472 raise TypeError("you *must* specify the indeterminates (as not
None).")
473 if R is None:
474 raise TypeError("invalid input (%s, %s, %s) to PolynomialRing
function; please see the docstring for that function"%(
/opt/sage/sage-6.10/local/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)
516 R =
m.PolynomialRing_dense_padic_field_capped_relative(base_ring, name)
517
518 elif isinstance(base_ring,
padic_base_leaves.pAdicRingCappedRelative):
519 R =
m.PolynomialRing_dense_padic_ring_capped_relative(base_ring, name)
520
521 elif isinstance(base_ring,
padic_base_leaves.pAdicRingCappedAbsolute):
522 R =
m.PolynomialRing_dense_padic_ring_capped_absolute(base_ring, name)
523
524 elif isinstance(base_ring, padic_base_leaves.pAdicRingFixedMod):
525 R = m.PolynomialRing_dense_padic_ring_fixed_mod(base_ring,
name)
526
527 elif base_ring.is_field(proof = False):
528 R = m.PolynomialRing_field(base_ring, name, sparse)
529
530 elif base_ring.is_integral_domain(proof = False):
--> 531 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
532 else:
533 R = m.PolynomialRing_commutative(base_ring, name, sparse)
534 else:
535 R = m.PolynomialRing_general(base_ring, name, sparse)
536
537 if hasattr(R, '_implementation_names'):
538 for name in R._implementation_names:
539 real_key = key[0:3] + (name,)
540 _save_in_cache(real_key, R)
541 else:
542 _save_in_cache(key, R)
543 return R
544
545 def _multi_variate(base_ring, names, n, sparse, order, implementation):
546 # if not sparse:
/opt/sage/sage-6.10/local/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'>)
1530 if is_IntegerRing(base_ring) and not sparse:
1531 if implementation == 'NTL':
1532 from
sage.rings.polynomial.polynomial_integer_dense_ntl \
1533 import Polynomial_integer_dense_ntl
1534 element_class = Polynomial_integer_dense_ntl
1535 self._implementation_names = ('NTL',)
1536 self._implementation_repr = ' (using NTL)'
1537 elif implementation == 'FLINT' or implementation is
None:
1538 from
sage.rings.polynomial.polynomial_integer_dense_flint \
1539 import Polynomial_integer_dense_flint
1540 element_class = Polynomial_integer_dense_flint
1541 self._implementation_names = (None, 'FLINT')
1542 else:
1543 raise ValueError("Unknown implementation %s for
ZZ[x]"%implementation)
1544 PolynomialRing_commutative.__init__(self, base_ring, name=name,
-> 1545 sparse=sparse, element_class=element_class)
sparse = False
element_class = <type
'sage.rings.polynomial.polynomial_integer_dense_flint.Polynomial_integer_dense_flint'>
1546
1547 def _repr_(self):
1548 """
1549 TESTS::
1550
1551 sage: from sage.rings.polynomial.polynomial_ring import
PolynomialRing_integral_domain as PRing
1552 sage: R = PRing(ZZ, 'x', implementation='NTL'); R
1553 Univariate Polynomial Ring in x over Integer Ring (using
NTL)
1554 """
1555 s = PolynomialRing_commutative._repr_(self)
1556 return s + self._implementation_repr
1557
1558
1559 class PolynomialRing_field(PolynomialRing_integral_domain,
1560 PolynomialRing_singular_repr,
/opt/sage/sage-6.10/local/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))
1437 if max_degree is not None and of_degree is None:
1438 return self._monics_max( max_degree )
1439 raise ValueError("you should pass exactly one of of_degree and
max_degree")
1440
1441 class PolynomialRing_commutative(PolynomialRing_general,
commutative_algebra.CommutativeAlgebra):
1442 """
1443 Univariate polynomial ring over a commutative ring.
1444 """
1445 def __init__(self, base_ring, name=None, sparse=False,
element_class=None, category=None):
1446 if base_ring not in _CommutativeRings:
1447 raise TypeError("Base ring %s must be a commutative
ring."%repr(base_ring))
1448 # We trust that, if a category is given, that it is useful.
1449 if category is None:
1450 category =
polynomial_default_category(base_ring.category(),False)
1451 PolynomialRing_general.__init__(self, base_ring, name=name,
-> 1452 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)
1453
1454 def quotient_by_principal_ideal(self, f, names=None):
1455 """
1456 Return the quotient of this polynomial ring by the principal
1457 ideal (generated by) `f`.
1458
1459 INPUT:
1460
1461 - ``f`` - either a polynomial in ``self``, or a principal
1462 ideal of ``self``.
1463
1464 EXAMPLES::
1465
1466 sage: R.<x> = QQ[]
1467 sage: I = (x^2-1)*R
/opt/sage/sage-6.10/local/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))
291 self._has_singular = False
292 # Algebra.__init__ also calls __init_extra__ of
Algebras(...).parent_class, which
293 # tries to provide a conversion from the base ring, if it does
not exist.
294 # This is for algebras that only do the generic stuff in their
initialisation.
295 # But the attribute _no_generic_basering_coercion prevents that
from happening,
296 # since we want to use PolynomialBaseringInjection.
297 sage.algebras.algebra.Algebra.__init__(self, base_ring,
names=name, normalize=True, category=category)
298 self.__generator = self._polynomial_class(self, [0,1],
is_gen=True)
299 self._populate_coercion_lists_(
300 #coerce_list = [base_inject],
301 #convert_list = [list, base_inject],
302 convert_method_name = '_polynomial_')
303 if is_PolynomialRing(base_ring):
304 self._Karatsuba_threshold = 0
305 else:
--> 306 from sage.matrix.matrix_space import is_MatrixSpace
global sage.matrix.matrix_space = undefined
is_MatrixSpace = undefined
307 if is_MatrixSpace(base_ring):
308 self._Karatsuba_threshold = 0
309 else:
310 self._Karatsuba_threshold = 8
311
312 def __reduce__(self):
313 import sage.rings.polynomial.polynomial_ring_constructor
314 return
(sage.rings.polynomial.polynomial_ring_constructor.PolynomialRing,
315 (self.base_ring(), self.variable_name(), None,
self.is_sparse()))
316
317
318 def _element_constructor_(self, x=None, check=True, is_gen = False,
construct=False, **kwds):
319 r"""
320 Convert ``x`` into this univariate polynomial ring,
321 possibly non-canonically.
/opt/sage/sage-6.10/local/lib/python2.7/site-packages/sage/matrix/matrix_space.pyc
in <module>()
31 # (at your option) any later version.
32 # http://www.gnu.org/licenses/
33
#*****************************************************************************
34
35
36 # System imports
37 import sys
38 import types
39 import operator
40
41 # Sage matrix imports
42 import matrix
43 import matrix_generic_dense
44 import matrix_generic_sparse
45
---> 46 import matrix_modn_sparse
global matrix_modn_sparse = undefined
47
48 import matrix_mod2_dense
49 import matrix_gf2e_dense
50
51 import matrix_integer_dense
52 import matrix_integer_sparse
53
54 import matrix_rational_dense
55 import matrix_rational_sparse
56
57 import matrix_mpolynomial_dense
58
59
60 # Sage imports
61 from sage.misc.superseded import deprecation
/opt/sage/sage-6.10/local/lib/python2.7/site-packages/sage/matrix/matrix_integer_dense.pxd
in init sage.matrix.matrix_modn_sparse
(/opt/sage/sage-6.10/src/build/cythonized/sage/matrix/matrix_modn_sparse.c:19967)()
1 from sage.libs.gmp.types cimport *
2 from sage.libs.flint.fmpz cimport *
3 from sage.libs.flint.fmpz_mat cimport *
4
5 cimport matrix_dense
6 from sage.rings.integer cimport Integer
7 from sage.ext.mod_int cimport *
8
9 ctypedef long* GEN
10
---> 11 cdef class Matrix_integer_dense(matrix_dense.Matrix_dense):
global cdef = undefined
global Matrix_integer_dense = undefined
global matrix_dense.Matrix_dense = undefined
12 cdef fmpz_mat_t _matrix # Always initialized in __cinit__
13 cdef bint _initialized_mpz
14 cdef mpz_t * _entries # Only used if _initialized_mpz
15 cdef mpz_t ** _rows # Only used if _initialized_mpz
16 cdef object _pivots
17 cdef int mpz_height(self, mpz_t height) except -1
18 cdef _mod_int_c(self, mod_int modulus)
19 cdef _mod_two(self)
20 cdef _pickle_version0(self)
21 cdef _unpickle_version0(self, data)
22 cpdef _export_as_string(self, int base=?)
23 cdef inline int _init_mpz(self) except -1
24 cdef int _init_mpz_impl(self) except -1
25 cdef inline int _init_linbox(self) except -1
26 cdef void _dealloc_mpz(self)
27 cdef void set_unsafe_mpz(self, Py_ssize_t i, Py_ssize_t j, const
mpz_t value)
28 cdef void set_unsafe_si(self, Py_ssize_t i, Py_ssize_t j, long
value)
29 cdef void set_unsafe_double(self, Py_ssize_t i, Py_ssize_t j,
double value)
30 cdef inline void get_unsafe_mpz(self, Py_ssize_t i, Py_ssize_t j,
mpz_t value)
31 cdef inline double get_unsafe_double(self, Py_ssize_t i, Py_ssize_t
j)
/opt/sage/sage-6.10/local/lib/python2.7/site-packages/sage/matrix/matrix_modn_dense_template_header.pxi
in init sage.matrix.matrix_integer_dense
(/opt/sage/sage-6.10/src/build/cythonized/sage/matrix/matrix_integer_dense.c:52753)()
1 """
2 Dense Matrix Template for C/C++ Library Interfaces
3 """
4
5 from sage.ext.mod_int cimport *
6
7 cimport matrix_dense
8
----> 9 cdef class Matrix_modn_dense_template(matrix_dense.Matrix_dense):
global cdef = undefined
global Matrix_modn_dense_template = undefined
global matrix_dense.Matrix_dense = undefined
10 cdef celement **_matrix
11 cdef celement *_entries
12 cdef mod_int p
13 cdef xgcd_eliminate (self, celement * row1, celement* row2,
Py_ssize_t start_col)
14 cdef set_unsafe_int(self, Py_ssize_t i, Py_ssize_t j, int value)
15 cpdef _export_as_string(self)
16 cdef int _copy_row_to_mod_int_array(self, mod_int *to, Py_ssize_t i)
ImportError: /opt/sage/sage-6.10/local/lib/../lib64/libstdc++.so.6: version
`GLIBCXX_3.4.20' not found (required by
/opt/sage/sage-6.10/local/lib/python2.7/site-packages/sage/matrix/matrix_modn_dense_float.so)
***************************************************************************
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