Hello,
I use sage version 10.1 with Python 3.11.5 and defining :
R.<x,y> = PolynomialRing(GF(7638232120454925879231554234011842347641017888219021175304217358715878636183252433454896490677496516149889316745664606749499241420160898019203925115292257))
p = 1248584106087402595477681320858727452289191586714068127466093787322393958970615519501540939950821145331097471572650068393396104715311314384273622090226805*x*y + 6301575753614857991211769750378449007667075596100476570337558067946302353293601222091674403918269358011024750913561075015421264212999484268980847673978813
and
h = 4650946249801866066910436638190186338607744241962669626937592850318968131015918545028801001474136212788530699903320130403821860925881354770152189482843019*x*y + 3254637135520494253965948417397836071966401978255448258204473055057827529818385623117332595137326811980506963079615552452219222461622129628018805872217494
leads to p.resultant(h,y)
returning an error (see below).
Could you help me understanding why I have this and how I can fix it?
Thanks :)
SingularError Traceback (most recent call last) File /usr/lib/python3.11/site-packages/sage/interfaces/singular.py:1358, in SingularElement.__init__(self, parent, type, value, is_name) 1357 try: -> 1358 self._name = parent._create(value, type) 1359 # Convert SingularError to TypeError for 1360 # coercion to work properly.
File /usr/lib/python3.11/site-packages/sage/interfaces/singular.py:766, in Singular._create(self, value, type) 765 name = self._next_var_name() --> 766 self.set(type, name, value) 767 return name
File /usr/lib/python3.11/site-packages/sage/interfaces/singular.py:709, in Singular.set(self, type, name, value) 708 self.__to_clear = [] --> 709 self.eval(cmd)
File /usr/lib/python3.11/site-packages/sage/interfaces/singular.py:667, in Singular.eval(self, x, allow_semicolon, strip, **kwds) 666 if s.find("error occurred") != -1 or s.find("Segment fault") != -1: --> 667 raise SingularError('Singular error:\n%s'%s) 669 if get_verbose() > 0:
SingularError: Singular error:
? not implemented
? error occurred in or before STDIN line 23: def sage11=resultant(sage8,sage9,sage10);
During handling of the above exception, another exception occurred:
TypeError Traceback (most recent call last) Cell In[4], line 1 ----> 1 p.resultant(h,y)
File /usr/lib/python3.11/site-packages/sage/rings/qqbar_decorators.py:96, in handle_AA_and_QQbar.<locals>.wrapper(args, *kwds) 90 from sage.rings.abc import AlgebraicField_common 92 if not any(isinstance(a, (Polynomial, MPolynomial, Ideal_generic)) 93 and isinstance(a.base_ring(), AlgebraicField_common) 94 or is_PolynomialSequence(a) 95 and isinstance(a.ring().base_ring(), AlgebraicField_common) for a in args): ---> 96 return func(args, *kwds) 98 polynomials = [] 100 for a in flatten(args, ltypes=(list, tuple, set)):
File /usr/lib/python3.11/site-packages/sage/rings/polynomial/multi_polynomial_element.py:2355, in MPolynomial_polydict.resultant(self, other, variable) 2353 variable = R.gen(0) 2354 if R._has_singular and R.is_exact(): -> 2355 rt = self._singular_().resultant(other._singular_(), variable._singular_()) 2356 r = rt.sage_poly(R) 2357 else:
File /usr/lib/python3.11/site-packages/sage/interfaces/interface.py:696, in InterfaceFunctionElement.__call__(self, args, *kwds) 695 def __call__(self, args, *kwds): --> 696 return self._obj.parent().function_call(self._name, [self._obj] + list(args), kwds)
File /usr/lib/python3.11/site-packages/sage/interfaces/interface.py:616, in Interface.function_call(self, function, args, kwds) 612 self._check_valid_function_name(function) 613 s = self._function_call_string(function, 614 [s.name() for s in args], 615 ['%s=%s'%(key,value.name()) for key, value in kwds.items()]) --> 616 return self.new(s)
File /usr/lib/python3.11/site-packages/sage/interfaces/interface.py:385, in Interface.new(self, code) 384 def new(self, code): --> 385 return self(code)
File /usr/lib/python3.11/site-packages/sage/interfaces/singular.py:805, in Singular.__call__(self, x, type) 802 if type in ("module","list") and isinstance(x,(list,tuple,Sequence_generic)): 803 x = str(x)[1:-1] --> 805 return SingularElement(self, type, x, False)
File /usr/lib/python3.11/site-packages/sage/interfaces/singular.py:1363, in SingularElement.__init__(self, parent, type, value, is_name) 1361 except SingularError as x: 1362 self._session_number = -1 -> 1363 raise TypeError(x) 1364 except BaseException: 1365 self._session_number = -1
TypeError: Singular error:
? not implemented
? error occurred in or before STDIN line 23: def sage11=resultant(sage8,sage9,sage10);