[sage-support] Eigen spaces of algebraic matrices broken ?
Setup : Sage 9.5.rc1 running in Debian testing on core i7 + 16 GB RAM. def test(Size=2, Ring=QQ): from time import time as stime with seed(0): M = matrix(Ring, Size, Size, lambda u, v:Ring.random_element()) t0 = stime() SL = M.eigenspaces_left(algebraic_multiplicity=True) t1 = stime() VL = M.eigenvectors_left() t2 = stime() return t1-t0, SL, t2-t1, VL test() runs as expected, as well as test(Size=5) and test(Ring=AA), with very reasonable runtimes (under a second, IIRC). But test(Size=3, Ring=AA) “never returns” (meaning that it hadn’t returned when I interrupted it after tens of minutes). Further exploration showec that neither M.eigenspaces_left(algebraic_multiplicity=True) nor M.eigenvectors_left() return. Is that an expected behaviour ? FWIW, stack trace at interruption : sage: AA3=test(Size=3, Ring=AA) AA3=test(Size=3, Ring=AA) C-c C-c--- AttributeErrorTraceback (most recent call last) /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py in minpoly(self) 4492 try: -> 4493 return self._minimal_polynomial 4494 except AttributeError: /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/structure/element.pyx in sage.structure.element.Element.__getattr__ (build/cythonized/sage/structure/element.c:4754)() 493 """ --> 494 return self.getattr_from_category(name) 495 /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/structure/element.pyx in sage.structure.element.Element.getattr_from_category (build/cythonized/sage/structure/element.c:4866)() 506 cls = P._abstract_element_class --> 507 return getattr_from_other_class(self, cls, name) 508 /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/cpython/getattr.pyx in sage.cpython.getattr.getattr_from_other_class (build/cythonized/sage/cpython/getattr.c:2633)() 360 dummy_error_message.name = name --> 361 raise AttributeError(dummy_error_message) 362 attribute = attr AttributeError: 'sage.rings.real_mpfi.RealIntervalFieldElement' object has no attribute '_evaluate_polynomial' During handling of the above exception, another exception occurred: KeyboardInterrupt Traceback (most recent call last) in > 1 AA3=test(Size=Integer(3), Ring=AA) in test(Size, Ring) /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/matrix/matrix2.pyx in sage.matrix.matrix2.Matrix.eigenspaces_left (build/cythonized/sage/matrix/matrix2.c:43588)() 6270 self = self.change_ring(F) 6271 A = self - alpha -> 6272 W = A.kernel() 6273 V.append((alpha, W.ambient_module().span_of_basis(W.basis()), e)) 6274 else: /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/matrix/matrix2.pyx in sage.matrix.matrix2.Matrix.left_kernel (build/cythonized/sage/matrix/matrix2.c:32440)() 4947 4948 tm = verbose("computing left kernel for %sx%s matrix" % (self.nrows(), self.ncols()),level=1) -> 4949 K = self.transpose().right_kernel(*args, **kwds) 4950 self.cache('left_kernel', K) 4951 verbose("done computing left kernel for %sx%s matrix" % (self.nrows(), self.ncols()),level=1,t=tm) /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/matrix/matrix2.pyx in sage.matrix.matrix2.Matrix.right_kernel (build/cythonized/sage/matrix/matrix2.c:31909)() 4785 4786 # Go get the kernel matrix, this is where it all happens -> 4787 M = self.right_kernel_matrix(*args, **kwds) 4788 4789 ambient = R**self.ncols() /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/matrix/matrix2.pyx in sage.matrix.matrix2.Matrix.right_kernel_matrix (build/cythonized/sage/matrix/matrix2.c:30829)() 4394 4395 if M is None and R in _Fields: -> 4396 format, M = self._right_kernel_matrix_over_field() 4397 4398 if M is None and R.is_integral_domain(): /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/matrix/matrix2.pyx in sage.matrix.matrix2.Matrix._right_kernel_matrix_over_field (build/cythonized/sage/matrix/matrix2.c:27969)() 3686 from sage.matrix.matrix_space import MatrixSpace 3687 tm = verbose("computing right kernel matrix over an arbitrary field for %sx%s matrix" % (self.nrows(), self.ncols()),level=1) -> 3688 E = self.echelon_form(*args, **kwds) 3689 pivots = E.pivots() 3690 pivots_set = set(pivots) /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/pyt
[sage-support] Re: Interact broken. SageMath 9.5 on Apple Mac OSX 12.1 . SageMath-9.5_x86_64
Just for data points, which browsers did you try on this? Thanks for reporting. On Friday, January 28, 2022 at 1:02:57 PM UTC-5 alan_thoma...@yahoo.co.uk wrote: > Interact just calls the function but no Interact widgets appear. > > Example attached. It works at Cocalc. > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/e0a15937-dcd4-49aa-9dce-cda82b3e3fa0n%40googlegroups.com.
Re: [sage-support] Re: Interact broken. SageMath 9.5 on Apple Mac OSX 12.1 . SageMath-9.5_x86_64
On Sat, Jan 29, 2022 at 6:28 PM kcrisman wrote: > > Just for data points, which browsers did you try on this? Thanks for > reporting. for what's worth, the interact works on Linux with Firefox. > > On Friday, January 28, 2022 at 1:02:57 PM UTC-5 alan_thoma...@yahoo.co.uk > wrote: >> >> Interact just calls the function but no Interact widgets appear. >> >> Example attached. It works at Cocalc. > > -- > You received this message because you are subscribed to the Google Groups > "sage-support" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sage-support+unsubscr...@googlegroups.com. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sage-support/e0a15937-dcd4-49aa-9dce-cda82b3e3fa0n%40googlegroups.com. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/CAAWYfq2FjTz7rwn6421o50VqsAbymn__uUr3gqrpVrS3X%2BOZTQ%40mail.gmail.com.
Re: [sage-support] Re: Interact broken. SageMath 9.5 on Apple Mac OSX 12.1 . SageMath-9.5_x86_64
On Sat, Jan 29, 2022 at 8:05 PM 'Alan Stafford' via sage-support wrote: > > I only used Safari. Safari supports widgets at Cocalc so I can't think that > it won't support them should I run it locally. Interact has worked on > previous versions of SageMath. I am hoping the Mac support team will look > into this. Cocalc has its own implementation for handling ipython notebooks. No wonder that it might be totally different locally, with different code handling notebook. Can you try with Chrome? > > On Saturday, January 29, 2022 at 6:40:10 PM UTC dim...@gmail.com wrote: >> >> On Sat, Jan 29, 2022 at 6:28 PM kcrisman wrote: >> > >> > Just for data points, which browsers did you try on this? Thanks for >> > reporting. >> >> for what's worth, the interact works on Linux with Firefox. >> >> > >> > On Friday, January 28, 2022 at 1:02:57 PM UTC-5 alan_thoma...@yahoo.co.uk >> > wrote: >> >> >> >> Interact just calls the function but no Interact widgets appear. >> >> >> >> Example attached. It works at Cocalc. >> > >> > -- >> > You received this message because you are subscribed to the Google Groups >> > "sage-support" group. >> > To unsubscribe from this group and stop receiving emails from it, send an >> > email to sage-support...@googlegroups.com. >> > To view this discussion on the web visit >> > https://groups.google.com/d/msgid/sage-support/e0a15937-dcd4-49aa-9dce-cda82b3e3fa0n%40googlegroups.com. > > -- > You received this message because you are subscribed to the Google Groups > "sage-support" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sage-support+unsubscr...@googlegroups.com. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sage-support/8f13034e-c737-4e4a-bc58-ceb6d7177281n%40googlegroups.com. -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/CAAWYfq0t7sTrO_9%2Bmq06-rm6sBvtfbg%2BAwaFShCkeUk%3DNDDykw%40mail.gmail.com.
Re: [sage-support] Re: Interact broken. SageMath 9.5 on Apple Mac OSX 12.1 . SageMath-9.5_x86_64
Exactly the same using Google Chrome. On Saturday, January 29, 2022 at 8:09:36 PM UTC dim...@gmail.com wrote: > On Sat, Jan 29, 2022 at 8:05 PM 'Alan Stafford' via sage-support > wrote: > > > > I only used Safari. Safari supports widgets at Cocalc so I can't think > that it won't support them should I run it locally. Interact has worked on > previous versions of SageMath. I am hoping the Mac support team will look > into this. > > Cocalc has its own implementation for handling ipython notebooks. No > wonder that it might be totally different locally, with different code > handling notebook. > > Can you try with Chrome? > > > > > On Saturday, January 29, 2022 at 6:40:10 PM UTC dim...@gmail.com wrote: > >> > >> On Sat, Jan 29, 2022 at 6:28 PM kcrisman wrote: > >> > > >> > Just for data points, which browsers did you try on this? Thanks for > reporting. > >> > >> for what's worth, the interact works on Linux with Firefox. > >> > >> > > >> > On Friday, January 28, 2022 at 1:02:57 PM UTC-5 > alan_thoma...@yahoo.co.uk wrote: > >> >> > >> >> Interact just calls the function but no Interact widgets appear. > >> >> > >> >> Example attached. It works at Cocalc. > >> > > >> > -- > >> > You received this message because you are subscribed to the Google > Groups "sage-support" group. > >> > To unsubscribe from this group and stop receiving emails from it, > send an email to sage-support...@googlegroups.com. > >> > To view this discussion on the web visit > https://groups.google.com/d/msgid/sage-support/e0a15937-dcd4-49aa-9dce-cda82b3e3fa0n%40googlegroups.com > . > > > > -- > > You received this message because you are subscribed to the Google > Groups "sage-support" group. > > To unsubscribe from this group and stop receiving emails from it, send > an email to sage-support...@googlegroups.com. > > To view this discussion on the web visit > https://groups.google.com/d/msgid/sage-support/8f13034e-c737-4e4a-bc58-ceb6d7177281n%40googlegroups.com > . > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/sage-support/3697bc17-3e05-45b0-940a-97c054928617n%40googlegroups.com.
[sage-support] Re: Eigen spaces of algebraic matrices broken ?
The promlem seems tolie wit (my use of) polynomial rings to compute the eigenvectors. Manually, after executing dims = M.dimensions() if dims[0] != dims[1]: raise DomainError("Not a square matrix !") dim = dims[0] BR = M.base_ring() try: WR = BR.algebraic_closure() except AttributeError: WR = BR WPR = WR["t"] t = WPR.gens()[0] # CP = WPR(M.charpoly(var="t")) # Eigenvalues CP = M.charpoly(var="t") lambdas = CP.roots(ring=WR) # Eigenvectors Id = identity_matrix(WR,dim) WM = M.apply_map(lambda u:WR(u)) PR = PolynomialRing(WR,list(("v%d"%u for u in range(dim J=PR.ideal(*(WM-Id*lambdas[0][0])*vector(PR.gens())) neither J.dimension() nor J.variety() returns ; the interruption gives : sage: J.dimension() C-c C-c--- KeyboardInterrupt Traceback (most recent call last) in > 1 J.dimension() /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/polynomial/multi_polynomial_ideal.py in __call__(self, *args, **kwds) 295 if not R.base_ring().is_field(): 296 raise ValueError("Coefficient ring must be a field for function '%s'."%(self.f.__name__)) --> 297 return self.f(self._instance, *args, **kwds) 298 299 require_field = RequireField /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar_decorators.py in wrapper(*args, **kwds) 111 # same_field=True might trigger an exception otherwise. 112 --> 113 numfield, new_elems, morphism = number_field_elements_from_algebraics(orig_elems, same_field=True, minimal=True) 114 115 elem_dict = dict(zip(orig_elems, new_elems)) /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py in number_field_elements_from_algebraics(numbers, minimal, same_field, embedded, prec) 2759 real_numbers = [] 2760 for v in numbers: -> 2761 if v._exact_field().is_complex() and real_case: 2762 # the number comes from a complex algebraic number field 2763 embedded_rt = v.interval_fast(RealIntervalField(prec)) /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py in _exact_field(self) 4428 if isinstance(sd, (ANRational, ANExtensionElement)): 4429 return sd.generator() -> 4430 self.exactify() 4431 return self._exact_field() 4432 /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py in exactify(self) 4363 if isinstance(od, (ANRational, ANExtensionElement)): 4364 return -> 4365 self._set_descr(self._descr.exactify()) 4366 4367 def _set_descr(self, new_descr): /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py in exactify(self) 8180 8181 if op == 'real': -> 8182 arg.exactify() 8183 rv = (arg + arg.conjugate()) / 2 8184 rv.exactify() /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py in exactify(self) 4363 if isinstance(od, (ANRational, ANExtensionElement)): 4364 return -> 4365 self._set_descr(self._descr.exactify()) 4366 4367 def _set_descr(self, new_descr): /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py in exactify(self) 8429 left = self._left 8430 right = self._right -> 8431 left.exactify() 8432 right.exactify() 8433 gen = left._exact_field().union(right._exact_field()) /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py in exactify(self) 4363 if isinstance(od, (ANRational, ANExtensionElement)): 4364 return -> 4365 self._set_descr(self._descr.exactify()) 4366 4367 def _set_descr(self, new_descr): /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py in exactify(self) 8431 left.exactify() 8432 right.exactify() -> 8433 gen = left._exact_field().union(right._exact_field()) 8434 left_value = gen(left._exact_value()) 8435 right_value = gen(right._exact_value()) /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py in union(self, other) 3230 op = QQx(op) 3231 # pari_nf = self._field.pari_nf() -> 3232 pari_nf = self.pari_field() 3233 factors = list(pari_nf.nffactor(op).lift())[0] 3234 x, y = QQxy.gens() /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py in pari_fie
[sage-support] Re: Eigen spaces of algebraic matrices broken ?
FWIW, upgrading to 9.5.rc4 *and disabling the use of system’s pari and singular* gives the same symptoms. Possible suspect : charpent@zen-book-flip:~$ sage -pip list | grep pari cypari2 2.1.2 I’m way out of my depth here… HTH, Le samedi 29 janvier 2022 à 22:51:14 UTC+1, Emmanuel Charpentier a écrit : > The promlem seems tolie wit (my use of) polynomial rings to compute the > eigenvectors. Manually, after executing > > dims = M.dimensions() > if dims[0] != dims[1]: raise DomainError("Not a square matrix !") > dim = dims[0] > BR = M.base_ring() > try: > WR = BR.algebraic_closure() > except AttributeError: > WR = BR > WPR = WR["t"] > t = WPR.gens()[0] > # CP = WPR(M.charpoly(var="t")) > # Eigenvalues > CP = M.charpoly(var="t") > lambdas = CP.roots(ring=WR) > # Eigenvectors > Id = identity_matrix(WR,dim) > WM = M.apply_map(lambda u:WR(u)) > PR = PolynomialRing(WR,list(("v%d"%u for u in range(dim > J=PR.ideal(*(WM-Id*lambdas[0][0])*vector(PR.gens())) > > neither J.dimension() nor J.variety() returns ; the interruption gives : > > sage: J.dimension() > C-c > C-c--- > KeyboardInterrupt Traceback (most recent call last) > in > > 1 J.dimension() > > /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/polynomial/multi_polynomial_ideal.py > in __call__(self, *args, **kwds) > 295 if not R.base_ring().is_field(): > 296 raise ValueError("Coefficient ring must be a field for > function '%s'."%(self.f.__name__)) > --> 297 return self.f(self._instance, *args, **kwds) > 298 > 299 require_field = RequireField > > /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar_decorators.py > in wrapper(*args, **kwds) > 111 # same_field=True might trigger an exception otherwise. > 112 > --> 113 numfield, new_elems, morphism = > number_field_elements_from_algebraics(orig_elems, same_field=True, > minimal=True) > 114 > 115 elem_dict = dict(zip(orig_elems, new_elems)) > > /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py > in number_field_elements_from_algebraics(numbers, minimal, same_field, > embedded, prec) >2759 real_numbers = [] >2760 for v in numbers: > -> 2761 if v._exact_field().is_complex() and real_case: >2762 # the number comes from a complex algebraic number field >2763 embedded_rt = v.interval_fast(RealIntervalField(prec)) > > /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py > in _exact_field(self) >4428 if isinstance(sd, (ANRational, ANExtensionElement)): >4429 return sd.generator() > -> 4430 self.exactify() >4431 return self._exact_field() >4432 > > /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py > in exactify(self) >4363 if isinstance(od, (ANRational, ANExtensionElement)): >4364 return > -> 4365 self._set_descr(self._descr.exactify()) >4366 >4367 def _set_descr(self, new_descr): > > /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py > in exactify(self) >8180 >8181 if op == 'real': > -> 8182 arg.exactify() >8183 rv = (arg + arg.conjugate()) / 2 >8184 rv.exactify() > > /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py > in exactify(self) >4363 if isinstance(od, (ANRational, ANExtensionElement)): >4364 return > -> 4365 self._set_descr(self._descr.exactify()) >4366 >4367 def _set_descr(self, new_descr): > > /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py > in exactify(self) >8429 left = self._left >8430 right = self._right > -> 8431 left.exactify() >8432 right.exactify() >8433 gen = left._exact_field().union(right._exact_field()) > > /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py > in exactify(self) >4363 if isinstance(od, (ANRational, ANExtensionElement)): >4364 return > -> 4365 self._set_descr(self._descr.exactify()) >4366 >4367 def _set_descr(self, new_descr): > > /usr/local/sage-9/local/var/lib/sage/venv-python3.9/lib/python3.9/site-packages/sage/rings/qqbar.py > in exactify(self) >8431 left.exactify() >8432 right.exactify() > -> 8433 gen = left._exact_field().union(right._exact_field()) >8434 left_valu
[sage-support] Segfault with conda installation of SageMath-9.3 and 9.4 on Mac OS X
I am getting a crash when I am running SnapPy's https://github.com/3-manifolds/SnapPy test suite against SageMath with the stack trace below. I created several different conda environments, all with python 3.9.9, on Mac OS 11.5.2 x86_64 and it seems to be related to the (cy)pari version. That is, I can fix the crash or recreate the crash by changing the environment with "conda install pari==2.11.4" or "conda install 2.13.2". Those commands change the packages as follows: added / updated specs: - pari==2.11.4 The following packages will be DOWNGRADED: cypari2 2.1.2-py39hbeebeb8_3 --> 2.1.2-py39he58a9ab_0 cysignals 1.11.2-py39h7972417_0 --> 1.10.3-py39h520947a_0 eclib 20210503-h06317ce_2 --> 20210503-h5af3530_0 giac 1.6.0.47-h3e19eb6_2 --> 1.6.0.47-h5514456_0 lcalc 1.23-he3dd645_1006 --> 1.23-h3e22c04_1004 pari2.13.2-h491590d_1_pthread --> 2.11.4-h797e938_2 sagelib9.3-py39hf07016b_5 --> 9.3-py39h2a6771f_4 l also tried Marc Culler's Sage releases (https://github.com/3-manifolds/Sage_macOS/releases), version 9.4 and 9.5 prerelease. The crash didn't happen in either version. I think those use pari 2.13.1 and 2.13.3. Hmmm... I noted that the downgrading that fixed the crash removed "_pthread" from the pari version. So maybe pthread support causes the crash. Here is the stacktrace: * thread #1, queue = 'com.apple.main-thread', stop reason = signal SIGABRT * frame #0: 0x7fff203b84c2 libsystem_kernel.dylib`__kill + 10 frame #1: 0x00010ffd40ac libpari-gmp-tls.dylib`pari_err + 4940 frame #2: 0x00010fca26ec libpari-gmp-tls.dylib`_gtopoly + 172 frame #3: 0x0001169ec422 gen.cpython-39-darwin.so`__pyx_pf_7cypari2_3gen_8Gen_base_14Polrev + 178 frame #4: 0x00010f7b450c signals.cpython-39-darwin.so`__Pyx_CyFunction_CallAsMethod + 92 frame #5: 0x000118534c77 polynomial_element.cpython-39-darwin.so`__Pyx_PyObject_Call2Args + 215 frame #6: 0x0001185972cf polynomial_element.cpython-39-darwin.so`__pyx_pw_4sage_5rings_10polynomial_18polynomial_element_10Polynomial_221_pari_with_name + 1071 frame #7: 0x00010f0b1f24 python`cfunction_call + 52 frame #8: 0x000118534ea3 polynomial_element.cpython-39-darwin.so`__Pyx_PyObject_CallOneArg + 339 frame #9: 0x0001185967a2 polynomial_element.cpython-39-darwin.so`__pyx_pw_4sage_5rings_10polynomial_18polynomial_element_10Polynomial_217__pari__ + 386 frame #10: 0x000118535904 polynomial_element.cpython-39-darwin.so`__Pyx_PyObject_CallNoArg + 132 frame #11: 0x000118598497 polynomial_element.cpython-39-darwin.so`__pyx_pw_4sage_5rings_10polynomial_18polynomial_element_10Polynomial_231resultant + 551 frame #12: 0x00010f060bd5 python`method_vectorcall_O + 117 frame #13: 0x0001108491d4 element.cpython-39-darwin.so`__pyx_pw_4sage_9structure_7element_12coerce_binop_1new_method + 1208 frame #14: 0x00010f051288 python`_PyObject_MakeTpCall + 136 frame #15: 0x00010f055d9e python`method_vectorcall + 686 frame #16: 0x00010f186e4f python`call_function + 175 frame #17: 0x00010f184940 python`_PyEval_EvalFrameDefault + 44816 frame #18: 0x00010f1781e4 python`_PyEval_EvalCode + 548 frame #19: 0x00010f05272b python`_PyFunction_Vectorcall + 427 frame #20: 0x00010f186e4f python`call_function + 175 frame #21: 0x00010f184972 python`_PyEval_EvalFrameDefault + 44866 frame #22: 0x00010f1781e4 python`_PyEval_EvalCode + 548 frame #23: 0x00010f05272b python`_PyFunction_Vectorcall + 427 frame #24: 0x00010f186e4f python`call_function + 175 frame #25: 0x00010f184972 python`_PyEval_EvalFrameDefault + 44866 frame #26: 0x00010f1781e4 python`_PyEval_EvalCode + 548 frame #27: 0x00010f05272b python`_PyFunction_Vectorcall + 427 frame #28: 0x00010f186e4f python`call_function + 175 frame #29: 0x00010f184972 python`_PyEval_EvalFrameDefault + 44866 frame #30: 0x00010f052672 python`_PyFunction_Vectorcall + 242 frame #31: 0x00010f186e4f python`call_function + 175 frame #32: 0x00010f184972 python`_PyEval_EvalFrameDefault + 44866 frame #33: 0x00010f052672 python`_PyFunction_Vectorcall + 242 frame #34: 0x00010f186e4f python`call_function + 175 frame #35: 0x00010f184972 python`_PyEval_EvalFrameDefault + 44866 frame #36: 0x00010f1781e4 python`_PyEval_EvalCode + 548 frame #37: 0x00010f05272b python`_PyFunction_Vectorcall + 427 frame #38: 0x00010f186e4f python`call_function + 175 frame #39: 0x00010f184a2b python`_PyEval_EvalFrameDefault + 45051 frame #40: 0x00010f1781e4 python`_PyEval_EvalCode + 548 frame #41: 0x00010f05272b python`_PyFunction_Ve