(26 : 1 : 1)
(1 : 3 : 1)
(15 : 6 : 1)
0 (0 : 1 : 0)
1 (1 : 3 : 1)
2 (11 : 10 : 1)
3 (23 : 28 : 1)
4 (0 : 10 : 1)
5 (19 : 7 : 1)
6 (18 : 19 : 1)
7 (15 : 6 : 1)
8 (20 : 24 : 1)
9 (4 : 12 : 1)
10 (4 : 17 : 1)
11 (20 : 5 : 1)
12 (15 : 23 : 1)
13 (18 : 10 : 1)
14 (19 : 22 : 1)
15 (0 : 19 : 1)
16 (23 : 1 : 1)
17 (11 : 19 : 1)
18 (1 : 26 : 1)
19 (0 : 1 : 0)
20 (1 : 3 : 1)
21 (11 : 10 : 1)
22 (23 : 28 : 1)
23 (0 : 10 : 1)
24 (19 : 7 : 1)
25 (18 : 19 : 1)
26 (15 : 6 : 1)
27 (20 : 24 : 1)
28 (4 : 12 : 1)
29 (4 : 17 : 1)
30 (20 : 5 : 1)
31 (15 : 23 : 1)
32 (18 : 10 : 1)
33 (19 : 22 : 1)
34 (0 : 19 : 1)
35 (23 : 1 : 1)
36 (11 : 19 : 1)
37 (1 : 26 : 1)
38 (0 : 1 : 0)
39 (1 : 3 : 1)
Error in lines 1-1
Traceback (most recent call last):
File "/ext/sage/sage-9.2/local/lib/python3.8/site-packages/sage/schemes/elliptic_curves/ell_point.py", line 674, in _add_
m = (y1-y2)/(x1-x2)
File "sage/structure/element.pyx", line 1735, in sage.structure.element.Element.__truediv__ (build/cythonized/sage/structure/element.c:13147)
return (<Element>left)._div_(right)
File "sage/rings/finite_rings/integer_mod.pyx", line 2539, in sage.rings.finite_rings.integer_mod.IntegerMod_int._div_ (build/cythonized/sage/rings/finite_rings/integer_mod.c:28002)
raise ZeroDivisionError(f"inverse of Mod({right}, {self.__modulus.sageInteger}) does not exist")
ZeroDivisionError: inverse of Mod(76, 209) does not exist
During handling of the above exception, another exception occurred:
Traceback (most recent call last):
File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1230, in execute
exec(
File "", line 1, in <module>
File "sage/rings/integer.pyx", line 1982, in sage.rings.integer.Integer.__mul__ (build/cythonized/sage/rings/integer.c:14017)
return coercion_model.bin_op(left, right, operator.mul)
File "sage/structure/coerce.pyx", line 1194, in sage.structure.coerce.CoercionModel.bin_op (build/cythonized/sage/structure/coerce.c:10181)
return (<Action>action)._act_(x, y)
File "sage/structure/coerce_actions.pyx", line 759, in sage.structure.coerce_actions.IntegerMulAction._act_ (build/cythonized/sage/structure/coerce_actions.c:9633)
return fast_mul_long(a, n_long)
File "sage/structure/coerce_actions.pyx", line 923, in sage.structure.coerce_actions.fast_mul_long (build/cythonized/sage/structure/coerce_actions.c:11275)
sum += pow2a
File "sage/structure/element.pyx", line 1229, in sage.structure.element.Element.__add__ (build/cythonized/sage/structure/element.c:10948)
return (<Element>left)._add_(right)
File "sage/structure/element.pyx", line 2365, in sage.structure.element.ModuleElement._add_ (build/cythonized/sage/structure/element.c:15559)
cpdef _add_(self, other):
File "/ext/sage/sage-9.2/local/lib/python3.8/site-packages/sage/schemes/elliptic_curves/ell_point.py", line 681, in _add_
raise ZeroDivisionError("Inverse of %s does not exist (characteristic = %s = %s*%s)" % (x1-x2, N, N1, N2))
ZeroDivisionError: Inverse of 76 does not exist (characteristic = 209 = 19*11)
(0 : 1 : 0)
(1 : 3 : 1)
(91 : 27 : 1)
(118 : 133 : 1)
(148 : 182 : 1)
(20 : 35 : 1)
Error in lines 1-2
Traceback (most recent call last):
File "/ext/sage/sage-9.2/local/lib/python3.8/site-packages/sage/schemes/elliptic_curves/ell_point.py", line 674, in _add_
m = (y1-y2)/(x1-x2)
File "sage/structure/element.pyx", line 1735, in sage.structure.element.Element.__truediv__ (build/cythonized/sage/structure/element.c:13147)
return (<Element>left)._div_(right)
File "sage/rings/finite_rings/integer_mod.pyx", line 2539, in sage.rings.finite_rings.integer_mod.IntegerMod_int._div_ (build/cythonized/sage/rings/finite_rings/integer_mod.c:28002)
raise ZeroDivisionError(f"inverse of Mod({right}, {self.__modulus.sageInteger}) does not exist")
ZeroDivisionError: inverse of Mod(152, 209) does not exist
During handling of the above exception, another exception occurred:
Traceback (most recent call last):
File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1230, in execute
exec(
File "", line 2, in <module>
File "sage/structure/element.pyx", line 1526, in sage.structure.element.Element.__mul__ (build/cythonized/sage/structure/element.c:12309)
return (<Element>right)._mul_long(value)
File "sage/structure/element.pyx", line 2408, in sage.structure.element.ModuleElement._mul_long (build/cythonized/sage/structure/element.c:16117)
return coercion_model.bin_op(self, n, mul)
File "sage/structure/coerce.pyx", line 1196, in sage.structure.coerce.CoercionModel.bin_op (build/cythonized/sage/structure/coerce.c:10205)
return (<Action>action)._act_(y, x)
File "sage/structure/coerce_actions.pyx", line 759, in sage.structure.coerce_actions.IntegerMulAction._act_ (build/cythonized/sage/structure/coerce_actions.c:9633)
return fast_mul_long(a, n_long)
File "sage/structure/coerce_actions.pyx", line 923, in sage.structure.coerce_actions.fast_mul_long (build/cythonized/sage/structure/coerce_actions.c:11275)
sum += pow2a
File "sage/structure/element.pyx", line 1229, in sage.structure.element.Element.__add__ (build/cythonized/sage/structure/element.c:10948)
return (<Element>left)._add_(right)
File "sage/structure/element.pyx", line 2365, in sage.structure.element.ModuleElement._add_ (build/cythonized/sage/structure/element.c:15559)
cpdef _add_(self, other):
File "/ext/sage/sage-9.2/local/lib/python3.8/site-packages/sage/schemes/elliptic_curves/ell_point.py", line 681, in _add_
raise ZeroDivisionError("Inverse of %s does not exist (characteristic = %s = %s*%s)" % (x1-x2, N, N1, N2))
ZeroDivisionError: Inverse of 152 does not exist (characteristic = 209 = 19*11)
0 (0 : 1 : 0)
1 (1 : 3 : 1)
2 (15 : 8 : 1)
3 (4 : 0 : 1)
4 (15 : 11 : 1)
5 (1 : 16 : 1)
6 (0 : 1 : 0)
7 (1 : 3 : 1)
8 (15 : 8 : 1)
9 (4 : 0 : 1)
10 (15 : 11 : 1)
11 (1 : 16 : 1)
12 (0 : 1 : 0)
13 (1 : 3 : 1)
14 (15 : 8 : 1)
15 (4 : 0 : 1)
16 (15 : 11 : 1)
17 (1 : 16 : 1)
18 (0 : 1 : 0)
19 (1 : 3 : 1)
0 (0 : 1 : 0)
1 (1 : 3 : 1)
2 (3 : 5 : 1)
3 (8 : 1 : 1)
4 (5 : 6 : 1)
5 (9 : 2 : 1)
6 (6 : 10 : 1)
7 (2 : 0 : 1)
8 (6 : 1 : 1)
9 (9 : 9 : 1)
10 (5 : 5 : 1)
11 (8 : 10 : 1)
12 (3 : 6 : 1)
13 (1 : 8 : 1)
14 (0 : 1 : 0)
15 (1 : 3 : 1)
16 (3 : 5 : 1)
17 (8 : 1 : 1)
18 (5 : 6 : 1)
19 (9 : 2 : 1)
Error in lines 1-1
Traceback (most recent call last):
File "/ext/sage/sage-9.2/local/lib/python3.8/site-packages/sage/schemes/elliptic_curves/ell_point.py", line 674, in _add_
m = (y1-y2)/(x1-x2)
File "sage/structure/element.pyx", line 1735, in sage.structure.element.Element.__truediv__ (build/cythonized/sage/structure/element.c:13147)
return (<Element>left)._div_(right)
File "sage/rings/finite_rings/integer_mod.pyx", line 3345, in sage.rings.finite_rings.integer_mod.IntegerMod_int64._div_ (build/cythonized/sage/rings/finite_rings/integer_mod.c:33996)
return self._new_c((self.ivalue * mod_inverse_int64((<IntegerMod_int64>right).ivalue,
File "sage/rings/finite_rings/integer_mod.pyx", line 3693, in sage.rings.finite_rings.integer_mod.mod_inverse_int64 (build/cythonized/sage/rings/finite_rings/integer_mod.c:36105)
raise ZeroDivisionError(f"inverse of Mod({x}, {n}) does not exist")
ZeroDivisionError: inverse of Mod(96466, 193279) does not exist
During handling of the above exception, another exception occurred:
Traceback (most recent call last):
File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1230, in execute
exec(
File "", line 1, in <module>
File "sage/rings/integer.pyx", line 1982, in sage.rings.integer.Integer.__mul__ (build/cythonized/sage/rings/integer.c:14017)
return coercion_model.bin_op(left, right, operator.mul)
File "sage/structure/coerce.pyx", line 1194, in sage.structure.coerce.CoercionModel.bin_op (build/cythonized/sage/structure/coerce.c:10181)
return (<Action>action)._act_(x, y)
File "sage/structure/coerce_actions.pyx", line 759, in sage.structure.coerce_actions.IntegerMulAction._act_ (build/cythonized/sage/structure/coerce_actions.c:9633)
return fast_mul_long(a, n_long)
File "sage/structure/coerce_actions.pyx", line 923, in sage.structure.coerce_actions.fast_mul_long (build/cythonized/sage/structure/coerce_actions.c:11275)
sum += pow2a
File "sage/structure/element.pyx", line 1229, in sage.structure.element.Element.__add__ (build/cythonized/sage/structure/element.c:10948)
return (<Element>left)._add_(right)
File "sage/structure/element.pyx", line 2365, in sage.structure.element.ModuleElement._add_ (build/cythonized/sage/structure/element.c:15559)
cpdef _add_(self, other):
File "/ext/sage/sage-9.2/local/lib/python3.8/site-packages/sage/schemes/elliptic_curves/ell_point.py", line 681, in _add_
raise ZeroDivisionError("Inverse of %s does not exist (characteristic = %s = %s*%s)" % (x1-x2, N, N1, N2))
ZeroDivisionError: Inverse of 96466 does not exist (characteristic = 193279 = 347*557)
(13862 : 35249 : 1)
Error in lines 1-1
Traceback (most recent call last):
File "/ext/sage/sage-9.2/local/lib/python3.8/site-packages/sage/schemes/elliptic_curves/ell_point.py", line 674, in _add_
m = (y1-y2)/(x1-x2)
File "sage/structure/element.pyx", line 1735, in sage.structure.element.Element.__truediv__ (build/cythonized/sage/structure/element.c:13147)
return (<Element>left)._div_(right)
File "sage/rings/finite_rings/integer_mod.pyx", line 3345, in sage.rings.finite_rings.integer_mod.IntegerMod_int64._div_ (build/cythonized/sage/rings/finite_rings/integer_mod.c:33996)
return self._new_c((self.ivalue * mod_inverse_int64((<IntegerMod_int64>right).ivalue,
File "sage/rings/finite_rings/integer_mod.pyx", line 3693, in sage.rings.finite_rings.integer_mod.mod_inverse_int64 (build/cythonized/sage/rings/finite_rings/integer_mod.c:36105)
raise ZeroDivisionError(f"inverse of Mod({x}, {n}) does not exist")
ZeroDivisionError: inverse of Mod(94133, 193279) does not exist
During handling of the above exception, another exception occurred:
Traceback (most recent call last):
File "/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py", line 1230, in execute
exec(
File "", line 1, in <module>
File "sage/rings/integer.pyx", line 1982, in sage.rings.integer.Integer.__mul__ (build/cythonized/sage/rings/integer.c:14017)
return coercion_model.bin_op(left, right, operator.mul)
File "sage/structure/coerce.pyx", line 1194, in sage.structure.coerce.CoercionModel.bin_op (build/cythonized/sage/structure/coerce.c:10181)
return (<Action>action)._act_(x, y)
File "sage/structure/coerce_actions.pyx", line 759, in sage.structure.coerce_actions.IntegerMulAction._act_ (build/cythonized/sage/structure/coerce_actions.c:9633)
return fast_mul_long(a, n_long)
File "sage/structure/coerce_actions.pyx", line 923, in sage.structure.coerce_actions.fast_mul_long (build/cythonized/sage/structure/coerce_actions.c:11275)
sum += pow2a
File "sage/structure/element.pyx", line 1229, in sage.structure.element.Element.__add__ (build/cythonized/sage/structure/element.c:10948)
return (<Element>left)._add_(right)
File "sage/structure/element.pyx", line 2365, in sage.structure.element.ModuleElement._add_ (build/cythonized/sage/structure/element.c:15559)
cpdef _add_(self, other):
File "/ext/sage/sage-9.2/local/lib/python3.8/site-packages/sage/schemes/elliptic_curves/ell_point.py", line 681, in _add_
raise ZeroDivisionError("Inverse of %s does not exist (characteristic = %s = %s*%s)" % (x1-x2, N, N1, N2))
ZeroDivisionError: Inverse of 94133 does not exist (characteristic = 193279 = 557*347)
(5415 : 6321 : 1)
(6626 : 3576 : 1)
(5 : 1743 : 1)
(1794 : 6375 : 1)
(3861 : 1242 : 1)
(1472 : 2098 : 1)
(1472 : 2098 : 1)