def sympow(self, n, prec):
r"""
Return `L( Sym^{(n)}(E, \text{edge}))` to ``prec`` digits
of precision.
INPUT:
- ``n`` -- integer
- ``prec`` -- integer
OUTPUT:
- string -- real number to prec digits of precision as a string.
.. note::
Before using this function for the first time for
a given ``n``, you may have to type ``sympow('-new_data <n>')``,
where ``<n>`` is replaced by your value of ``n``. This
command takes a long time to run.
EXAMPLES::
sage: E = EllipticCurve('37a')
sage: a = E.lseries().sympow(2,16) # not tested - requires precomputing "sympow('-new_data 2')"
sage: a # not tested
'2.492262044273650E+00'
sage: RR(a) # not tested
2.49226204427365
"""
from sage.lfunctions.sympow import sympow
return sympow.L(self.__E, n, prec)
def sympow(self, n, prec):
r"""
Return $L(\Sym^{(n)}(E, \text{edge}))$ to prec digits
of precision.
INPUT:
n -- integer
prec -- integer
OUTPUT:
string -- real number to prec digits of precision as a string.
\note{Before using this function for the first time for
a given $n$, you may have to type \code{sympow('-new_data <n>')},
where \code{<n>} is replaced by your value of $n$. This
command takes a long time to run.}
EXAMPLES::
sage: E = EllipticCurve('37a')
sage: a = E.lseries().sympow(2,16) # not tested - requires precomputing "sympow('-new_data 2')"
sage: a # not tested
'2.492262044273650E+00'
sage: RR(a) # not tested
2.49226204427365
"""
from sage.lfunctions.sympow import sympow
return sympow.L(self.__E, n, prec)
