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-rw-r--r--sagemath-lcalc2.patch507
1 files changed, 0 insertions, 507 deletions
diff --git a/sagemath-lcalc2.patch b/sagemath-lcalc2.patch
deleted file mode 100644
index efc1ab9a8a7b..000000000000
--- a/sagemath-lcalc2.patch
+++ /dev/null
@@ -1,507 +0,0 @@
-diff --git a/src/sage/lfunctions/lcalc.py b/src/sage/lfunctions/lcalc.py
-index aabbd47..6efa5fe 100644
---- a/src/sage/lfunctions/lcalc.py
-+++ b/src/sage/lfunctions/lcalc.py
-@@ -225,19 +225,54 @@ class LCalc(SageObject):
- EXAMPLES::
-
- sage: I = CC.0
-- sage: lcalc.values_along_line(0.5, 0.5+20*I, 5)
-- [(0.500000000, -1.46035451), (0.500000000 + 4.00000000*I, 0.606783764 + 0.0911121400*I), (0.500000000 + 8.00000000*I, 1.24161511 + 0.360047588*I), (0.500000000 + 12.0000000*I, 1.01593665 - 0.745112472*I), (0.500000000 + 16.0000000*I, 0.938545408 + 1.21658782*I)]
-+ sage: values = lcalc.values_along_line(0.5, 0.5+20*I, 5)
-+ sage: values[0][0] # abs tol 1e-8
-+ 0.5
-+ sage: values[0][1] # abs tol 1e-8
-+ -1.46035451 + 0.0*I
-+ sage: values[1][0] # abs tol 1e-8
-+ 0.5 + 4.0*I
-+ sage: values[1][1] # abs tol 1e-8
-+ 0.606783764 + 0.0911121400*I
-+ sage: values[2][0] # abs tol 1e-8
-+ 0.5 + 8.0*I
-+ sage: values[2][1] # abs tol 1e-8
-+ 1.24161511 + 0.360047588*I
-+ sage: values[3][0] # abs tol 1e-8
-+ 0.5 + 12.0*I
-+ sage: values[3][1] # abs tol 1e-8
-+ 1.01593665 - 0.745112472*I
-+ sage: values[4][0] # abs tol 1e-8
-+ 0.5 + 16.0*I
-+ sage: values[4][1] # abs tol 1e-8
-+ 0.938545408 + 1.21658782*I
-
- Sometimes warnings are printed (by lcalc) when this command is
- run::
-
- sage: E = EllipticCurve('389a')
-- sage: E.lseries().values_along_line(0.5, 3, 5)
-- [(0.000000000, 0.209951303),
-- (0.500000000, -...e-16),
-- (1.00000000, 0.133768433),
-- (1.50000000, 0.360092864),
-- (2.00000000, 0.552975867)]
-+ sage: values = E.lseries().values_along_line(0.5, 3, 5)
-+ sage: values[0][0] # abs tol 1e-8
-+ 0.0
-+ sage: values[0][1] # abs tol 1e-8
-+ 0.209951303 + 0.0*I
-+ sage: values[1][0] # abs tol 1e-8
-+ 0.5
-+ sage: values[1][1] # abs tol 1e-8
-+ 0.0 + 0.0*I
-+ sage: values[2][0] # abs tol 1e-8
-+ 1.0
-+ sage: values[2][1] # abs tol 1e-8
-+ 0.133768433 - 0.0*I
-+ sage: values[3][0] # abs tol 1e-8
-+ 1.5
-+ sage: values[3][1] # abs tol 1e-8
-+ 0.360092864 - 0.0*I
-+ sage: values[4][0] # abs tol 1e-8
-+ 2.0
-+ sage: values[4][1] # abs tol 1e-8
-+ 0.552975867 + 0.0*I
-+
- """
- L = self._compute_L(L)
- CC = sage.rings.all.ComplexField(prec)
-@@ -281,8 +316,31 @@ class LCalc(SageObject):
-
- EXAMPLES::
-
-- sage: lcalc.twist_values(0.5, -10, 10)
-- [(-8, 1.10042141), (-7, 1.14658567), (-4, 0.667691457), (-3, 0.480867558), (5, 0.231750947), (8, 0.373691713)]
-+ sage: values = lcalc.twist_values(0.5, -10, 10)
-+ sage: values[0][0]
-+ -8
-+ sage: values[0][1] # abs tol 1e-8
-+ 1.10042141 + 0.0*I
-+ sage: values[1][0]
-+ -7
-+ sage: values[1][1] # abs tol 1e-8
-+ 1.14658567 + 0.0*I
-+ sage: values[2][0]
-+ -4
-+ sage: values[2][1] # abs tol 1e-8
-+ 0.667691457 + 0.0*I
-+ sage: values[3][0]
-+ -3
-+ sage: values[3][1] # abs tol 1e-8
-+ 0.480867558 + 0.0*I
-+ sage: values[4][0]
-+ 5
-+ sage: values[4][1] # abs tol 1e-8
-+ 0.231750947 + 0.0*I
-+ sage: values[5][0]
-+ 8
-+ sage: values[5][1] # abs tol 1e-8
-+ 0.373691713 + 0.0*I
- """
- L = self._compute_L(L)
- CC = sage.rings.all.ComplexField(prec)
-diff --git a/src/sage/lfunctions/zero_sums.pyx b/src/sage/lfunctions/zero_sums.pyx
-index 225fe7d..8b0e566 100644
---- a/src/sage/lfunctions/zero_sums.pyx
-+++ b/src/sage/lfunctions/zero_sums.pyx
-@@ -829,8 +829,11 @@ cdef class LFunctionZeroSum_abstract(SageObject):
- EXAMPLES::
-
- sage: E = EllipticCurve("11a")
-- sage: E.lseries().zeros(2)
-- [6.36261389, 8.60353962]
-+ sage: zeros = E.lseries().zeros(2)
-+ sage: zeros[0] # abs tol 1e-8
-+ 6.36261389
-+ sage: zeros[1] # abs tol 1e-8
-+ 8.60353962
-
- E is a rank zero curve; the lowest zero has imaginary part ~6.36. The
- zero sum with tau=0 indicates that there are no zeros at the central
-diff --git a/src/sage/libs/lcalc/lcalc_Lfunction.pxd b/src/sage/libs/lcalc/lcalc_Lfunction.pxd
-index d1dbb5d..5edf084 100644
---- a/src/sage/libs/lcalc/lcalc_Lfunction.pxd
-+++ b/src/sage/libs/lcalc/lcalc_Lfunction.pxd
-@@ -21,7 +21,7 @@ cdef extern from "lcalc_sage.h":
- int (* compute_rank) ()
- double (* N) (double T)
- void (* find_zeros_v)(double T1, double T2, double stepsize, doublevec result )
-- void (*find_zeros_via_N_v)(long count,int do_negative,double max_refine, int rank, int test_explicit_formula, doublevec result)
-+ int (*find_zeros)(long count, long start, double max_refine, int rank, const char* message_stamp, doublevec* result)
- void (*print_data_L)()
-
- #Constructor and destructor
-@@ -38,7 +38,7 @@ cdef extern from "lcalc_sage.h":
- double (* N) (double T)
- double *dirichlet_coefficient
- void (* find_zeros_v)(double T1, double T2, double stepsize, doublevec result )
-- void (*find_zeros_via_N_v)(long count,int do_negative,double max_refine, int rank, int test_explicit_formula, doublevec result)
-+ int (*find_zeros)(long count, long start, double max_refine, int rank, const char* message_stamp, doublevec* result)
- void (*print_data_L)()
-
- #Constructor and destructor
-@@ -54,7 +54,7 @@ cdef extern from "lcalc_sage.h":
- int (* compute_rank) ()
- double (* N) (double T)
- void (* find_zeros_v)(double T1, double T2, double stepsize, doublevec result )
-- void (*find_zeros_via_N_v)(long count,int do_negative,double max_refine, int rank, int test_explicit_formula, doublevec result)
-+ int (*find_zeros)(long count, long start, double max_refine, int rank, const char* message_stamp, doublevec* result)
- void (*print_data_L)()
-
- #Constructor and destructor
-@@ -70,7 +70,7 @@ cdef extern from "lcalc_sage.h":
- int (* compute_rank) ()
- double (* N) (double T)
- void (* find_zeros_v)(double T1, double T2, double stepsize, doublevec result )
-- void (*find_zeros_via_N_v)(long count,int do_negative,double max_refine, int rank, int test_explicit_formula, doublevec result)#puts result in vector<double> result
-+ int (*find_zeros)(long count, long start, double max_refine, int rank, const char* message_stamp, doublevec* result)
- void (*find_zeros_via_N)(long count,int do_negative,double max_refine, int rank, int test_explicit_formula, char *filename) #puts result in filename
-
- #Constructor and destructor
-@@ -111,7 +111,7 @@ cdef class Lfunction:
- #strange bug, replacing Double with double gives me a compile error
- cdef Double __typedN(self, double T)
- cdef void __find_zeros_v(self, double T1, double T2, double stepsize,doublevec *result)
-- cdef void __find_zeros_via_N_v(self, long count,int do_negative,double max_refine, int rank, int test_explicit_formula,doublevec *result)
-+ cdef int __find_zeros(self, long count, long start, double max_refine, int rank, const char* message_stamp, doublevec* result)
-
- cdef str _repr
-
-diff --git a/src/sage/libs/lcalc/lcalc_Lfunction.pyx b/src/sage/libs/lcalc/lcalc_Lfunction.pyx
-index 7e54d7e..88a6e13 100644
---- a/src/sage/libs/lcalc/lcalc_Lfunction.pyx
-+++ b/src/sage/libs/lcalc/lcalc_Lfunction.pyx
-@@ -143,29 +143,29 @@ cdef class Lfunction:
- sage: chi = DirichletGroup(5)[2] #This is a quadratic character
- sage: from sage.libs.lcalc.lcalc_Lfunction import *
- sage: L=Lfunction_from_character(chi, type="int")
-- sage: L.value(.5) # abs tol 3e-15
-+ sage: L.value(.5) # abs tol 1e-8
- 0.231750947504016 + 5.75329642226136e-18*I
-- sage: L.value(.2+.4*I)
-- 0.102558603193... + 0.190840777924...*I
-+ sage: L.value(.2+.4*I) # abs tol 1e-8
-+ 0.102558603193 + 0.190840777924*I
-
- sage: L=Lfunction_from_character(chi, type="double")
-- sage: L.value(.6) # abs tol 3e-15
-+ sage: L.value(.6) # abs tol 1e-8
- 0.274633355856345 + 6.59869267328199e-18*I
-- sage: L.value(.6+I)
-- 0.362258705721... + 0.433888250620...*I
-+ sage: L.value(.6+I) # abs tol 1e-8
-+ 0.362258705721 + 0.433888250620*I
-
- sage: chi = DirichletGroup(5)[1]
- sage: L=Lfunction_from_character(chi, type="complex")
-- sage: L.value(.5)
-- 0.763747880117... + 0.216964767518...*I
-- sage: L.value(.6+5*I)
-- 0.702723260619... - 1.10178575243...*I
-+ sage: L.value(.5) # abs tol 1e-8
-+ 0.763747880117 + 0.216964767518*I
-+ sage: L.value(.6+5*I) # abs tol 1e-8
-+ 0.702723260619 - 1.10178575243*I
-
- sage: L=Lfunction_Zeta()
-- sage: L.value(.5)
-- -1.46035450880...
-- sage: L.value(.4+.5*I)
-- -0.450728958517... - 0.780511403019...*I
-+ sage: L.value(.5) # abs tol 1e-8
-+ -1.46035450880 + 0.0*I
-+ sage: L.value(.4+.5*I) # abs tol 1e-8
-+ -0.450728958517 - 0.780511403019*I
- """
- cdef ComplexNumber complexified_s = CCC(s)
- cdef c_Complex z = new_Complex(mpfr_get_d(complexified_s.__re, MPFR_RNDN), mpfr_get_d(complexified_s.__im, MPFR_RNDN))
-@@ -185,23 +185,21 @@ cdef class Lfunction:
- sage: chi = DirichletGroup(5)[2] # Quadratic character
- sage: from sage.libs.lcalc.lcalc_Lfunction import *
- sage: L = Lfunction_from_character(chi, type="int")
-- sage: L.hardy_z_function(0)
-- 0.231750947504...
-- sage: L.hardy_z_function(.5).imag() # abs tol 1e-15
-+ sage: L.hardy_z_function(0) # abs tol 1e-8
-+ 0.231750947504 + 0.0*I
-+ sage: L.hardy_z_function(.5).imag() # abs tol 1e-8
- 1.17253174178320e-17
-- sage: L.hardy_z_function(.4+.3*I)
-- 0.2166144222685... - 0.00408187127850...*I
- sage: chi = DirichletGroup(5)[1]
- sage: L = Lfunction_from_character(chi, type="complex")
-- sage: L.hardy_z_function(0)
-- 0.793967590477...
-- sage: L.hardy_z_function(.5).imag() # abs tol 1e-15
-+ sage: L.hardy_z_function(0) # abs tol 1e-8
-+ 0.793967590477 + 0.0*I
-+ sage: L.hardy_z_function(.5).imag() # abs tol 1e-8
- 0.000000000000000
- sage: E = EllipticCurve([-82,0])
- sage: L = Lfunction_from_elliptic_curve(E, number_of_coeffs=40000)
-- sage: L.hardy_z_function(2.1)
-- -0.00643179176869...
-- sage: L.hardy_z_function(2.1).imag() # abs tol 1e-15
-+ sage: L.hardy_z_function(2.1) # abs tol 1e-8
-+ -0.00643179176863296 - 1.47189978221606e-19*I
-+ sage: L.hardy_z_function(2.1).imag() # abs tol 1e-8
- -3.93833660115668e-19
- """
- #This takes s -> .5 + I*s
-@@ -241,8 +239,8 @@ cdef class Lfunction:
- sage: from sage.libs.lcalc.lcalc_Lfunction import *
- sage: chi = DirichletGroup(5)[2] #This is a quadratic character
- sage: L=Lfunction_from_character(chi, type="complex")
-- sage: L.__N(10)
-- 3.17043978326...
-+ sage: L.__N(10) # abs tol 1e-8
-+ 4.0
- """
- cdef RealNumber real_T=RRR(T)
- cdef double double_T = mpfr_get_d(real_T.value, MPFR_RNDN)
-@@ -307,18 +305,21 @@ cdef class Lfunction:
- return returnvalue
-
- #The default values are from L.h. See L.h
-- def find_zeros_via_N(self, count=0, do_negative=False, max_refine=1025,
-- rank=-1, test_explicit_formula=0):
-+ def find_zeros_via_N(self, count=0, start=0, max_refine=1025, rank=-1):
- """
-- Finds ``count`` number of zeros with positive imaginary part
-- starting at real axis. This function also verifies that all
-- the zeros have been found.
-+ Find ``count`` zeros (in order of increasing magnitude) and output
-+ their imaginary parts. This function verifies that no zeros
-+ are missed, and that all values output are indeed zeros.
-+
-+ If this L-function is self-dual (if its Dirichlet coefficients
-+ are real, up to a tolerance of 1e-6), then only the zeros with
-+ positive imaginary parts are output. Their conjugates, which
-+ are also zeros, are not output.
-
- INPUT:
-
- - ``count`` - number of zeros to be found
-- - ``do_negative`` - (default: False) False to ignore zeros below the
-- real axis.
-+ - ``start`` - (default: 0) how many initial zeros to skip
- - ``max_refine`` - when some zeros are found to be missing, the step
- size used to find zeros is refined. max_refine gives an upper limit
- on when lcalc should give up. Use default value unless you know
-@@ -326,13 +327,9 @@ cdef class Lfunction:
- - ``rank`` - integer (default: -1) analytic rank of the L-function.
- If -1 is passed, then we attempt to compute it. (Use default if in
- doubt)
-- - ``test_explicit_formula`` - integer (default: 0) If nonzero, test
-- the explicit formula for additional confidence that all the zeros
-- have been found and are accurate. This is still being tested, so
-- using the default is recommended.
-
- OUTPUT:
--
-+
- list -- A list of the imaginary parts of the zeros that have been found
-
- EXAMPLES::
-@@ -349,21 +346,26 @@ cdef class Lfunction:
-
- sage: chi = DirichletGroup(5)[1]
- sage: L=Lfunction_from_character(chi, type="complex")
-- sage: L.find_zeros_via_N(3)
-- [6.18357819545..., 8.45722917442..., 12.6749464170...]
-+ sage: zeros = L.find_zeros_via_N(3)
-+ sage: zeros[0] # abs tol 1e-8
-+ -4.13290370521286
-+ sage: zeros[1] # abs tol 1e-8
-+ 6.18357819545086
-+ sage: zeros[2] # abs tol 1e-8
-+ 8.45722917442320
-
- sage: L=Lfunction_Zeta()
- sage: L.find_zeros_via_N(3)
- [14.1347251417..., 21.0220396387..., 25.0108575801...]
- """
-- cdef Integer count_I = Integer(count)
-- cdef Integer do_negative_I = Integer(do_negative)
-- cdef RealNumber max_refine_R = RRR(max_refine)
-- cdef Integer rank_I = Integer(rank)
-- cdef Integer test_explicit_I = Integer(test_explicit_formula)
-+
-+ # This is the default value for message_stamp, but we have to
-+ # pass it explicitly since we're passing in the next argument,
-+ # our &result pointer.
-+ cdef const char* message_stamp = ""
- cdef doublevec result
- sig_on()
-- self.__find_zeros_via_N_v(mpz_get_si(count_I.value), mpz_get_si(do_negative_I.value), mpfr_get_d(max_refine_R.value, MPFR_RNDN), mpz_get_si(rank_I.value), mpz_get_si(test_explicit_I.value), &result)
-+ self.__find_zeros(count, start, max_refine, rank, message_stamp, &result)
- sig_off()
- returnvalue = []
- for i in range(result.size()):
-@@ -390,7 +392,7 @@ cdef class Lfunction:
- cdef void __find_zeros_v(self,double T1, double T2, double stepsize, doublevec *result):
- raise NotImplementedError
-
-- cdef void __find_zeros_via_N_v(self, long count,int do_negative,double max_refine, int rank, int test_explicit_formula, doublevec *result):
-+ cdef int __find_zeros(self, long count, long start, double max_refine, int rank, const char* message_stamp, doublevec *result):
- raise NotImplementedError
-
- ##############################################################################
-@@ -486,8 +488,8 @@ cdef class Lfunction_I(Lfunction):
- cdef double __typedN(self, double T):
- return (<c_Lfunction_I *>self.thisptr).N(T)
-
-- cdef void __find_zeros_via_N_v(self, long count,int do_negative,double max_refine, int rank, int test_explicit_formula, doublevec *result):
-- (<c_Lfunction_I *>self.thisptr).find_zeros_via_N_v(count, do_negative, max_refine, rank, test_explicit_formula, result[0])
-+ cdef int __find_zeros(self, long count, long start, double max_refine, int rank, const char* message_stamp, doublevec *result):
-+ (<c_Lfunction_I *>self.thisptr).find_zeros(count, start, max_refine, rank, message_stamp, result)
-
- # debug tools
- def _print_data_to_standard_output(self):
-@@ -500,7 +502,7 @@ cdef class Lfunction_I(Lfunction):
- sage: from sage.libs.lcalc.lcalc_Lfunction import *
- sage: chi = DirichletGroup(5)[2] #This is a quadratic character
- sage: L=Lfunction_from_character(chi, type="int")
-- sage: L._print_data_to_standard_output() # tol 1e-15
-+ sage: L._print_data_to_standard_output() # tol 1e-8
- -----------------------------------------------
- <BLANKLINE>
- Name of L_function:
-@@ -624,8 +626,8 @@ cdef class Lfunction_D(Lfunction):
- cdef double __typedN(self, double T):
- return (<c_Lfunction_D *>self.thisptr).N(T)
-
-- cdef void __find_zeros_via_N_v(self, long count,int do_negative,double max_refine, int rank, int test_explicit_formula, doublevec *result):
-- (<c_Lfunction_D *>self.thisptr).find_zeros_via_N_v(count, do_negative, max_refine, rank, test_explicit_formula, result[0])
-+ cdef int __find_zeros(self, long count, long start,double max_refine, int rank, const char* message_stamp, doublevec *result):
-+ (<c_Lfunction_D *>self.thisptr).find_zeros(count, start, max_refine, rank, message_stamp, result)
-
- # debug tools
- def _print_data_to_standard_output(self):
-@@ -638,7 +640,7 @@ cdef class Lfunction_D(Lfunction):
- sage: from sage.libs.lcalc.lcalc_Lfunction import *
- sage: chi = DirichletGroup(5)[2] #This is a quadratic character
- sage: L=Lfunction_from_character(chi, type="double")
-- sage: L._print_data_to_standard_output() # tol 1e-15
-+ sage: L._print_data_to_standard_output() # tol 1e-8
- -----------------------------------------------
- <BLANKLINE>
- Name of L_function:
-@@ -769,8 +771,8 @@ cdef class Lfunction_C:
- cdef double __typedN(self, double T):
- return (<c_Lfunction_C *>self.thisptr).N(T)
-
-- cdef void __find_zeros_via_N_v(self, long count,int do_negative,double max_refine, int rank, int test_explicit_formula, doublevec *result):
-- (<c_Lfunction_C *>self.thisptr).find_zeros_via_N_v(count, do_negative, max_refine, rank, test_explicit_formula, result[0])
-+ cdef int __find_zeros(self, long count, long start, double max_refine, int rank, const char* message_stamp, doublevec *result):
-+ (<c_Lfunction_C *>self.thisptr).find_zeros(count, start, max_refine, rank, message_stamp, result)
-
- # debug tools
- def _print_data_to_standard_output(self):
-@@ -783,7 +785,7 @@ cdef class Lfunction_C:
- sage: from sage.libs.lcalc.lcalc_Lfunction import *
- sage: chi = DirichletGroup(5)[1]
- sage: L=Lfunction_from_character(chi, type="complex")
-- sage: L._print_data_to_standard_output() # tol 1e-15
-+ sage: L._print_data_to_standard_output() # tol 1e-8
- -----------------------------------------------
- <BLANKLINE>
- Name of L_function:
-@@ -854,8 +856,8 @@ cdef class Lfunction_Zeta(Lfunction):
- cdef double __typedN(self, double T):
- return (<c_Lfunction_Zeta *>self.thisptr).N(T)
-
-- cdef void __find_zeros_via_N_v(self, long count,int do_negative,double max_refine, int rank, int test_explicit_formula, doublevec *result):
-- (<c_Lfunction_Zeta *>self.thisptr).find_zeros_via_N_v(count, do_negative, max_refine, rank, test_explicit_formula, result[0])
-+ cdef int __find_zeros(self, long count, long start, double max_refine, int rank, const char* message_stamp, doublevec *result):
-+ (<c_Lfunction_Zeta *>self.thisptr).find_zeros(count, start, max_refine, rank, message_stamp, result)
-
- def __dealloc__(self):
- """
-@@ -950,10 +952,11 @@ def Lfunction_from_elliptic_curve(E, number_of_coeffs=10000):
- sage: L = Lfunction_from_elliptic_curve(EllipticCurve('37'))
- sage: L
- L-function with real Dirichlet coefficients
-- sage: L.value(0.5).abs() < 1e-15 # "noisy" zero on some platforms (see #9615)
-+ sage: L.value(0.5).abs() < 1e-8 # "noisy" zero on some platforms (see #9615)
- True
-- sage: L.value(0.5, derivative=1)
-- 0.305999...
-+ sage: L.value(0.5, derivative=1) # abs tol 1e-6
-+ 0.305999773835200 + 0.0*I
-+
- """
- import sage.libs.lcalc.lcalc_Lfunction
- Q = RRR(E.conductor()).sqrt() / RRR(2 * pi)
-diff --git a/src/sage/libs/lcalc/lcalc_sage.h b/src/sage/libs/lcalc/lcalc_sage.h
-index 4985289..891a40c 100644
---- a/src/sage/libs/lcalc/lcalc_sage.h
-+++ b/src/sage/libs/lcalc/lcalc_sage.h
-@@ -1,4 +1,4 @@
--#include "Lfunction/L.h"
-+#include "lcalc/L.h"
- int *new_ints(int l)
- {
- return new int[l];
-@@ -62,4 +62,3 @@ void testL(L_function<Complex> *L)
- cout << "Value at 1" << L->value(1.0) <<endl;
- cout << "Value at .5+I" << L->value(.5+I) <<endl;
- }
--
-diff --git a/src/sage/modular/dirichlet.py b/src/sage/modular/dirichlet.py
-index d101f6a..23a9b1b 100644
---- a/src/sage/modular/dirichlet.py
-+++ b/src/sage/modular/dirichlet.py
-@@ -751,8 +751,8 @@ class DirichletCharacter(MultiplicativeGroupElement):
- sage: a = a.primitive_character()
- sage: L = a.lfunction(algorithm='lcalc'); L
- L-function with complex Dirichlet coefficients
-- sage: L.value(4) # abs tol 1e-14
-- 0.988944551741105 - 5.16608739123418e-18*I
-+ sage: L.value(4) # abs tol 1e-8
-+ 0.988944551741105 + 0.0*I
- """
- if algorithm is None:
- algorithm = 'pari'
-diff --git a/src/sage/schemes/elliptic_curves/ell_rational_field.py b/src/sage/schemes/elliptic_curves/ell_rational_field.py
-index bda999e..1736ce4 100644
---- a/src/sage/schemes/elliptic_curves/ell_rational_field.py
-+++ b/src/sage/schemes/elliptic_curves/ell_rational_field.py
-@@ -1516,7 +1516,7 @@ class EllipticCurve_rational_field(EllipticCurve_number_field):
- sage: EllipticCurve([1234567,89101112]).analytic_rank(algorithm='rubinstein')
- Traceback (most recent call last):
- ...
-- RuntimeError: unable to compute analytic rank using rubinstein algorithm (unable to convert ' 6.19283e+19 and is too large' to an integer)
-+ RuntimeError: unable to compute analytic rank using rubinstein algorithm (unable to convert ' 6.19283... and is too large' to an integer)
- sage: EllipticCurve([1234567,89101112]).analytic_rank(algorithm='sympow')
- Traceback (most recent call last):
- ...
-diff --git a/src/sage/schemes/elliptic_curves/lseries_ell.py b/src/sage/schemes/elliptic_curves/lseries_ell.py
-index 1fcd02f..8536db5 100644
---- a/src/sage/schemes/elliptic_curves/lseries_ell.py
-+++ b/src/sage/schemes/elliptic_curves/lseries_ell.py
-@@ -400,8 +400,22 @@ class Lseries_ell(SageObject):
-
- sage: E = EllipticCurve('37a')
- sage: vals = E.lseries().twist_values(1, -12, -4)
-- sage: vals # abs tol 1e-15
-- [(-11, 1.47824342), (-8, 8.9590946e-18), (-7, 1.85307619), (-4, 2.45138938)]
-+ sage: vals[0][0]
-+ -11
-+ sage: vals[0][1] # abs tol 1e-8
-+ 1.47824342 + 0.0*I
-+ sage: vals[1][0]
-+ -8
-+ sage: vals[1][1] # abs tol 1e-8
-+ 0.0 + 0.0*I
-+ sage: vals[2][0]
-+ -7
-+ sage: vals[2][1] # abs tol 1e-8
-+ 1.85307619 + 0.0*I
-+ sage: vals[3][0]
-+ -4
-+ sage: vals[3][1] # abs tol 1e-8
-+ 2.45138938 + 0.0*I
- sage: F = E.quadratic_twist(-8)
- sage: F.rank()
- 1
-