I've been doing some work with continued fractions, and when I get to a large enough number, I start hitting an error. For example, with the ContinuedFraction from [(18806263158919164762262694978536817267490601162205305175017345804331141023863425152608922362862834892943764814900901973487239748665085369033027389281788183,), [1, 1, 1, 1, 37612526317838329524525389957073634534981202324410610350034691608662282047726850305217844725725669785887529629801803946974479497330170738066054778563576366]]), I get the error below.
Specifically, I get it after I've created a ContinuedFraction with the arguments above, and then call .value() on it. I've tried to make sure all of those are sage Integer types, but it doesn't seem to help, and it looks like internally the CF code is overflowing somewhere. Is there any way around this, or is this a limitation I'll have to live with?
Thanks for any help!
Traceback (most recent call last):
File "/home/tc/Downloads/sagetemp/SageMath/local/lib/python2.7/multiprocessing/process.py", line 258, in _bootstrap
self.run()
File "/home/tc/Downloads/sagetemp/SageMath/local/lib/python2.7/multiprocessing/process.py", line 114, in run
self._target(*self._args, **self._kwargs)
File "/home/tc/code/cfp/pi/piX/ones.py", line 16, in leeloo
v = ocf.value()
File "/home/tc/Downloads/sagetemp/SageMath/local/lib/python2.7/site-packages/sage/rings/continued_fraction.py", line 1423, in value
Q = QuadraticField(DD, 'sqrt%d' % DD)
File "/home/tc/Downloads/sagetemp/SageMath/local/lib/python2.7/site-packages/sage/rings/number_field/number_field.py", line 922, in QuadraticField
return NumberField(f, name, check=False, embedding=embedding, latex_name=latex_name, **args)
File "/home/tc/Downloads/sagetemp/SageMath/local/lib/python2.7/site-packages/sage/rings/number_field/number_field.py", line 524, in NumberField
return NumberField_version2(polynomial=polynomial, name=name, check=check, embedding=embedding, latex_name=latex_name, assume_disc_small=assume_disc_small, maximize_at_primes=maximize_at_primes, structure=structure)
File "sage/structure/factory.pyx", line 362, in sage.structure.factory.UniqueFactory.__call__ (/home/tc/Downloads/sagetemp/SageMath/src/build/cythonized/sage/structure/factory.c:1856)
File "/home/tc/Downloads/sagetemp/SageMath/local/lib/python2.7/site-packages/sage/rings/number_field/number_field.py", line 612, in create_key_and_extra_args
x = number_field_morphisms.root_from_approx(polynomial, embedding)
File "sage/rings/number_field/number_field_morphisms.pyx", line 490, in sage.rings.number_field.number_field_morphisms.root_from_approx (/home/tc/Downloads/sagetemp/SageMath/src/build/cythonized/sage/rings/number_field/number_field_morphisms.c:7640)
File "sage/rings/real_lazy.pyx", line 1584, in sage.rings.real_lazy.LazyAlgebraic.__init__ (/home/tc/Downloads/sagetemp/SageMath/src/build/cythonized/sage/rings/real_lazy.c:17914)
File "sage/rings/polynomial/polynomial_element.pyx", line 7247, in sage.rings.polynomial.polynomial_element.Polynomial.roots (/home/tc/Downloads/sagetemp/SageMath/src/build/cythonized/sage/rings/polynomial/polynomial_element.c:68115)
File "sage/rings/polynomial/polynomial_element.pyx", line 7143, in sage.rings.polynomial.polynomial_element.Polynomial.roots (/home/tc/Downloads/sagetemp/SageMath/src/build/cythonized/sage/rings/polynomial/polynomial_element.c:64632)
File "sage/rings/polynomial/polynomial_element.pyx", line 5786, in sage.rings.polynomial.polynomial_element.Polynomial._pari_ (/home/tc/Downloads/sagetemp/SageMath/src/build/cythonized/sage/rings/polynomial/polynomial_element.c:55229)
File "sage/rings/polynomial/polynomial_element.pyx", line 5839, in sage.rings.polynomial.polynomial_element.Polynomial._pari_with_name (/home/tc/Downloads/sagetemp/SageMath/src/build/cythonized/sage/rings/polynomial/polynomial_element.c:55757)
File "sage/rings/real_mpfr.pyx", line 3103, in sage.rings.real_mpfr.RealNumber._pari_ (/home/tc/Downloads/sagetemp/SageMath/src/build/cythonized/sage/rings/real_mpfr.c:22771)
ValueError: Cannot convert NaN or infinity to Pari float
