︠8ea02aa7-4f8d-487a-afd0-21a1cd808bb2s︠ %attach eulerprod.py ︡f83172eb-172f-4a20-92e9-a73e2fe9ae1c︡{"done":true}︡ ︠c3aa4c8d-0b0c-4b19-b021-24b37b1b20e1s︠ K.=NumberField(x^2 -x-1) E = EllipticCurve(K, [1, phi + 1, phi, phi, 0]) LSeriesEllipticCurveSqrt5(E) L(1) ︡a45b766e-0020-4b0b-acd1-60044e90180b︡{"stdout":"L-series of Elliptic Curve defined by y^2 + x*y + phi*y = x^3 + (phi+1)*x^2 + phi*x over Number Field in phi with defining polynomial x^2 - x - 1\n"}︡{"stderr":"Error in lines 4-4\nTraceback (most recent call last):\n File \"/projects/sage/sage-7.5/local/lib/python2.7/site-packages/smc_sagews/sage_server.py\", line 995, in execute\n exec compile(block+'\\n', '', 'single') in namespace, locals\n File \"\", line 1, in \n File \"./eulerprod.py\", line 1295, in __call__\n return self._function(prec(s))(s)\n File \"sage/misc/cachefunc.pyx\", line 2038, in sage.misc.cachefunc.CachedMethodCaller.__call__ (/projects/sage/sage-7.5/src/build/cythonized/sage/misc/cachefunc.c:10792)\n w = self._instance_call(*args, **kwds)\n File \"sage/misc/cachefunc.pyx\", line 1914, in sage.misc.cachefunc.CachedMethodCaller._instance_call (/projects/sage/sage-7.5/src/build/cythonized/sage/misc/cachefunc.c:10238)\n return self.f(self._instance, *args, **kwds)\n File \"./eulerprod.py\", line 1405, in _function\n return self._dokchitser(prec, eps, T=T)\n File \"./eulerprod.py\", line 1450, in _dokchitser\n X = self.anlist(n, prec)\n File \"./eulerprod.py\", line 1178, in anlist\n F = self._local_factor(P, prec)\n File \"./eulerprod.py\", line 1044, in _local_factor\n raise NotImplementedError, \"must be implemented in the derived class\"\nNotImplementedError: must be implemented in the derived class\n"}︡{"done":true}︡ ︠b2266954-2613-48fd-80da-8d12bd1bb3e2s︠ norm(E.conductor()) ︡aec645ad-fa29-43b4-bda0-3202ee745b91︡{"stdout":"31\n"}︡{"done":true}︡ ︠c54f57ff-1901-4cfd-9b60-f47084116b0es︠ d = 2 L = LSeriesAbstract(norm(E.conductor())* K.discriminant()^2, hodge_numbers = [0]*d+[1]*d, weight=2, epsilon=1, poles=[], residues=[], base_field=K) ︡f1832697-c242-4358-b398-60aedaf8efe9︡{"done":true}︡ ︠c7f182c2-d7dd-40e1-8fbb-384055d46f8as︠ L ︡e7a3ea28-9bac-44c8-b4c6-453558f3aebe︡{"stdout":"Euler Product L-series with conductor 775, Hodge numbers [0, 0, 1, 1], weight 2, epsilon 1, poles [], residues [] over Number Field in phi with defining polynomial x^2 - x - 1\n"}︡{"done":true}︡ ︠d9427dc3-8290-4c8d-9153-9c765a8539cbs︠ L.anlist(10) ︡a2dc518a-87a3-470f-8851-13b29890eb19︡{"stderr":"Error in lines 1-1\nTraceback (most recent call last):\n File \"/projects/sage/sage-7.5/local/lib/python2.7/site-packages/smc_sagews/sage_server.py\", line 995, in execute\n exec compile(block+'\\n', '', 'single') in namespace, locals\n File \"\", line 1, in \n File \"./eulerprod.py\", line 1178, in anlist\n F = self._local_factor(P, prec)\n File \"./eulerprod.py\", line 1044, in _local_factor\n raise NotImplementedError, \"must be implemented in the derived class\"\nNotImplementedError: must be implemented in the derived class\n"}︡{"done":true}︡ ︠aa6ecee5-2df4-46a9-bbbe-d973a2bf7b66︠