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4, 6), (1, 3, 5)), ((2, 3, 6),), ((0, 1, 3),), ((0, 2, 4), (1, 3, 5)))"},{"group":"0","name":"(((2, 4, 6), (0, 3, 5)), ((2, 3, 5),), ((2, 4, 6), (1, 3, 5)), ((2, 3, 6),), ((0, 1, 3),), ((1, 3, 6),))"},{"group":"0","name":"(((2, 4, 6), (0, 3, 5)), ((2, 3, 5),), ((2, 4, 6), (1, 3, 5)), ((2, 3, 6),), ((0, 2, 4), (1, 3, 5)), ((2, 4, 5),))"},{"group":"0","name":"(((2, 4, 6), (0, 3, 5)), ((2, 3, 5),), ((2, 4, 6), (1, 3, 5)), ((2, 3, 6),), ((1, 2, 6),), ((1, 3, 6),))"},{"group":"0","name":"(((2, 4, 6), (0, 3, 5)), ((2, 3, 5),), ((2, 4, 6), (1, 3, 5)), ((2, 3, 6),), ((1, 2, 6),), ((2, 4, 5),))"},{"group":"0","name":"(((2, 4, 6), (0, 3, 5)), ((2, 4, 6), (1, 3, 5)), ((0, 4, 6),), ((2, 3, 6),), ((0, 1, 3),), ((0, 2, 4), (1, 3, 5)))"},{"group":"0","name":"(((2, 4, 6), (0, 3, 5)), ((2, 4, 6), (1, 3, 5)), ((0, 4, 6),), ((2, 3, 6),), ((0, 1, 3),), ((1, 3, 6),))"},{"group":"0","name":"(((2, 4, 6), (0, 3, 5)), ((2, 4, 6), (1, 3, 5)), ((0, 4, 6),), ((2, 3, 6),), ((0, 2, 4), (1, 3, 5)), ((2, 4, 5),))"},{"group":"0","name":"(((2, 4, 6), (0, 3, 5)), ((2, 4, 6), (1, 3, 5)), ((0, 4, 6),), ((2, 3, 6),), ((1, 2, 6),), ((1, 3, 6),))"},{"group":"0","name":"(((2, 4, 6), (0, 3, 5)), ((2, 4, 6), (1, 3, 5)), ((0, 4, 6),), ((2, 3, 6),), ((1, 2, 6),), ((2, 4, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((0, 2, 4),), ((1, 2, 4),), ((0, 2, 5), (1, 4, 6)), ((0, 1, 5),), ((0, 3, 5), (1, 4, 6)))"},{"group":"0","name":"(((2, 5, 6),), ((0, 2, 4),), ((1, 2, 4),), ((0, 2, 5), (1, 4, 6)), ((2, 4, 5),), ((0, 1, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((0, 2, 4),), ((1, 2, 4),), ((0, 2, 5), (1, 4, 6)), ((3, 4, 6),), ((0, 3, 5), (1, 4, 6)))"},{"group":"0","name":"(((2, 5, 6),), ((0, 2, 4),), ((1, 2, 4),), ((0, 2, 6),), ((0, 3, 5), (2, 4, 6)), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((0, 2, 4),), ((1, 2, 4),), ((0, 2, 6),), ((0, 3, 5), (2, 4, 6)), ((3, 4, 6),))"},{"group":"0","name":"(((2, 5, 6),), ((0, 2, 4),), ((1, 2, 4),), ((0, 2, 6),), ((2, 4, 5),), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((0, 2, 4),), ((1, 2, 4),), ((0, 3, 5), (2, 4, 6)), ((0, 1, 5),), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((0, 2, 4),), ((1, 2, 4),), ((0, 3, 5), (2, 4, 6)), ((0, 1, 5),), ((0, 3, 5), (1, 4, 6)))"},{"group":"0","name":"(((2, 5, 6),), ((0, 2, 4),), ((1, 2, 4),), ((0, 3, 5), (2, 4, 6)), ((3, 4, 6),), ((0, 3, 5), (1, 4, 6)))"},{"group":"0","name":"(((2, 5, 6),), ((0, 2, 4),), ((1, 2, 4),), ((2, 4, 5),), ((0, 1, 5),), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((0, 2, 4),), ((1, 2, 4),), ((2, 4, 6),), ((0, 2, 5), (1, 4, 6)), ((2, 4, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((0, 2, 4),), ((1, 2, 4),), ((2, 4, 6),), ((0, 2, 5), (1, 4, 6)), ((3, 4, 6),))"},{"group":"0","name":"(((2, 5, 6),), ((0, 2, 4),), ((1, 2, 4),), ((2, 4, 6),), ((0, 2, 6),), ((2, 4, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((0, 2, 4),), ((1, 2, 4),), ((2, 4, 6),), ((0, 2, 6),), ((3, 4, 6),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 4),), ((1, 3, 5), (2, 4, 6)), ((0, 2, 6),), ((0, 3, 5), (2, 4, 6)), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 4),), ((1, 3, 5), (2, 4, 6)), ((0, 2, 6),), ((0, 3, 5), (2, 4, 6)), ((3, 4, 6),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 4),), ((1, 3, 5), (2, 4, 6)), ((0, 3, 5), (2, 4, 6)), ((0, 1, 5),), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 4),), ((1, 3, 5), (2, 4, 6)), ((0, 3, 5), (2, 4, 6)), ((0, 1, 5),), ((0, 3, 5), (1, 4, 6)))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 4),), ((1, 3, 5), (2, 4, 6)), ((0, 3, 5), (2, 4, 6)), ((3, 4, 6),), ((0, 3, 5), (1, 4, 6)))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 4),), ((1, 3, 5), (2, 4, 6)), ((1, 2, 6),), ((0, 2, 6),), ((3, 4, 6),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 4),), ((2, 4, 6),), ((1, 2, 6),), ((0, 2, 6),), ((2, 4, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 4),), ((2, 4, 6),), ((1, 2, 6),), ((0, 2, 6),), ((3, 4, 6),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 5),), ((1, 2, 4),), ((0, 2, 6),), ((2, 4, 5),), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 5),), ((1, 2, 4),), ((1, 2, 6),), ((0, 2, 6),), ((2, 4, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 5),), ((1, 2, 4),), ((1, 3, 5), (2, 4, 6)), ((0, 1, 5),), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 5),), ((1, 2, 4),), ((1, 3, 5), (2, 4, 6)), ((0, 2, 6),), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 5),), ((1, 2, 4),), ((1, 3, 5), (2, 4, 6)), ((1, 2, 6),), ((0, 2, 6),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 5),), ((1, 2, 4),), ((2, 4, 5),), ((0, 1, 5),), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 5),), ((1, 3, 5), (2, 4, 6)), ((0, 2, 6),), ((3, 5, 6),), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 5),), ((1, 3, 5), (2, 4, 6)), ((1, 2, 6),), ((0, 2, 6),), ((3, 5, 6),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 2, 5),), ((1, 3, 5), (2, 4, 6)), ((3, 5, 6),), ((0, 1, 5),), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 3, 5), (2, 4, 6)), ((0, 2, 6),), ((0, 3, 5), (2, 4, 6)), ((3, 5, 6),), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 3, 5), (2, 4, 6)), ((0, 2, 6),), ((0, 3, 5), (2, 4, 6)), ((3, 5, 6),), ((3, 4, 6),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 3, 5), (2, 4, 6)), ((0, 3, 5), (2, 4, 6)), ((3, 5, 6),), ((0, 1, 5),), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((1, 3, 5), (2, 4, 6)), ((0, 3, 5), (2, 4, 6)), ((3, 5, 6),), ((0, 1, 5),), ((0, 3, 5), (1, 4, 6)))"},{"group":"0","name":"(((2, 5, 6),), ((1, 3, 5), (2, 4, 6)), ((0, 3, 5), (2, 4, 6)), ((3, 5, 6),), ((3, 4, 6),), ((0, 3, 5), (1, 4, 6)))"},{"group":"0","name":"(((2, 5, 6),), ((1, 3, 5), (2, 4, 6)), ((1, 2, 6),), ((0, 2, 6),), ((3, 5, 6),), ((3, 4, 6),))"},{"group":"0","name":"(((2, 5, 6),), ((2, 3, 5),), ((1, 2, 5),), ((0, 2, 6),), ((2, 4, 5),), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((2, 3, 5),), ((1, 2, 5),), ((0, 2, 6),), ((3, 5, 6),), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((2, 3, 5),), ((1, 2, 5),), ((1, 2, 6),), ((0, 2, 6),), ((2, 4, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((2, 3, 5),), ((1, 2, 5),), ((1, 2, 6),), ((0, 2, 6),), ((3, 5, 6),))"},{"group":"0","name":"(((2, 5, 6),), ((2, 3, 5),), ((1, 2, 5),), ((2, 4, 5),), ((0, 1, 5),), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((2, 3, 5),), ((1, 2, 5),), ((3, 5, 6),), ((0, 1, 5),), ((0, 2, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((2, 3, 5),), ((2, 3, 6),), ((1, 2, 6),), ((0, 2, 6),), ((2, 4, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((2, 3, 5),), ((2, 3, 6),), ((1, 2, 6),), ((0, 2, 6),), ((3, 5, 6),))"},{"group":"0","name":"(((2, 5, 6),), ((2, 3, 6),), ((1, 2, 6),), ((0, 2, 6),), ((3, 5, 6),), ((3, 4, 6),))"},{"group":"0","name":"(((2, 5, 6),), ((2, 4, 6),), ((2, 3, 6),), ((1, 2, 6),), ((0, 2, 6),), ((2, 4, 5),))"},{"group":"0","name":"(((2, 5, 6),), ((2, 4, 6),), ((2, 3, 6),), ((1, 2, 6),), ((0, 2, 6),), ((3, 4, 6),))"}],"pos":[],"vertex_labels":false,"vertex_size":7,"width":1600},"viewer":"graph"}}︡{"done":true} ︠06402e43-82dd-4519-914b-e43df4139aed︠ ︡a3a69b86-319d-4a03-a785-14b7ec8d558c︡ ︠7d2089bb-163f-40fb-a575-67a6a038e89e︠ smc_sagews.graphics.show_graph_using_d3? ︡4fcef399-1dc7-409c-91b6-8598570cc763︡{"code":{"filename":null,"lineno":-1,"mode":"text/x-rst","source":"File: \nDocstring :\n"}}︡{"done":true}︡ ︠935396cc-2e7b-4429-be7a-5a2abe359a35s︠ import smc_sagews.graphics smc_sagews.graphics.graph_to_d3_jsonable?? ︡02afcb11-e3f8-4f81-8083-693e62383f3e︡{"code":{"filename":null,"lineno":-1,"mode":"python","source":" File: /cocalc/lib/python2.7/site-packages/smc_sagews/graphics.py\n Source:\n def graph_to_d3_jsonable(G,\n vertex_labels = True,\n edge_labels = False,\n vertex_partition = [],\n edge_partition = [],\n force_spring_layout = False,\n charge = -120,\n link_distance = 50,\n link_strength = 1,\n gravity = .04,\n vertex_size = 7,\n edge_thickness = 2,\n width = None,\n height = None,\n **ignored):\n r\"\"\"\n Display a graph in CoCalc using the D3 visualization library.\n\n INPUT:\n\n - ``G`` -- the graph\n\n - ``vertex_labels`` (boolean) -- Whether to display vertex labels (set to\n ``True`` by default).\n\n - ``edge_labels`` (boolean) -- Whether to display edge labels (set to\n ``False`` by default).\n\n - ``vertex_partition`` -- a list of lists representing a partition of the\n vertex set. Vertices are then colored in the graph according to the\n partition. Set to ``[]`` by default.\n\n - ``edge_partition`` -- same as ``vertex_partition``, with edges\n instead. Set to ``[]`` by default.\n\n - ``force_spring_layout`` -- whether to take sage's position into account if\n there is one (see :meth:`~sage.graphs.generic_graph.GenericGraph.` and\n :meth:`~sage.graphs.generic_graph.GenericGraph.`), or to compute a spring\n layout. Set to ``False`` by default.\n\n - ``vertex_size`` -- The size of a vertex' circle. Set to `7` by default.\n\n - ``edge_thickness`` -- Thickness of an edge. Set to ``2`` by default.\n\n - ``charge`` -- the vertices' charge. Defines how they repulse each\n other. See ``_ for more\n information. Set to ``-120`` by default.\n\n - ``link_distance`` -- See\n ``_ for more\n information. Set to ``30`` by default.\n\n - ``link_strength`` -- See\n ``_ for more\n information. Set to ``1.5`` by default.\n\n - ``gravity`` -- See\n ``_ for more\n information. Set to ``0.04`` by default.\n\n\n EXAMPLES::\n\n show(graphs.RandomTree(50), d3=True)\n\n show(graphs.PetersenGraph(), d3=True, vertex_partition=g.coloring())\n\n show(graphs.DodecahedralGraph(), d3=True, force_spring_layout=True)\n\n show(graphs.DodecahedralGraph(), d3=True)\n\n g = digraphs.DeBruijn(2,2)\n g.allow_multiple_edges(True)\n g.add_edge(\"10\",\"10\",\"a\")\n g.add_edge(\"10\",\"10\",\"b\")\n g.add_edge(\"10\",\"10\",\"c\")\n g.add_edge(\"10\",\"10\",\"d\")\n g.add_edge(\"01\",\"11\",\"1\")\n show(g, d3=True, vertex_labels=True,edge_labels=True,\n link_distance=200,gravity=.05,charge=-500,\n edge_partition=[[(\"11\",\"12\",\"2\"),(\"21\",\"21\",\"a\")]],\n edge_thickness=4)\n\n \"\"\"\n directed = G.is_directed()\n multiple_edges = G.has_multiple_edges()\n\n # Associated an integer to each vertex\n v_to_id = {v: i for i, v in enumerate(G.vertices())}\n\n # Vertex colors\n color = {i: len(vertex_partition) for i in range(G.order())}\n for i, l in enumerate(vertex_partition):\n for v in l:\n color[v_to_id[v]] = i\n\n # Vertex list\n nodes = []\n for v in G.vertices():\n nodes.append({\"name\": str(v), \"group\": str(color[v_to_id[v]])})\n\n # Edge colors.\n edge_color_default = \"#aaa\"\n from sage.plot.colors import rainbow\n color_list = rainbow(len(edge_partition))\n edge_color = {}\n for i, l in enumerate(edge_partition):\n for e in l:\n u, v, label = e if len(e) == 3 else e+(None,)\n edge_color[u, v, label] = color_list[i]\n if not directed:\n edge_color[v, u, label] = color_list[i]\n\n # Edge list\n edges = []\n seen = {} # How many times has this edge been seen ?\n\n for u, v, l in G.edges():\n\n # Edge color\n color = edge_color.get((u, v, l), edge_color_default)\n\n # Computes the curve of the edge\n curve = 0\n\n # Loop ?\n if u == v:\n seen[u, v] = seen.get((u, v), 0)+1\n curve = seen[u, v]*10+10\n\n # For directed graphs, one also has to take into accounts\n # edges in the opposite direction\n elif directed:\n if G.has_edge(v, u):\n seen[u, v] = seen.get((u, v), 0)+1\n curve = seen[u, v]*15\n else:\n if multiple_edges and len(G.edge_label(u, v)) != 1:\n # Multiple edges. The first one has curve 15, then\n # -15, then 30, then -30, ...\n seen[u, v] = seen.get((u, v), 0) + 1\n curve = (1 if seen[u, v] % 2 else -1)*(seen[u, v]//2)*15\n\n elif not directed and multiple_edges:\n # Same formula as above for multiple edges\n if len(G.edge_label(u, v)) != 1:\n seen[u, v] = seen.get((u, v), 0) + 1\n curve = (1 if seen[u, v] % 2 else -1)*(seen[u, v]//2)*15\n\n # Adding the edge to the list\n edges.append({\"source\": v_to_id[u],\n \"target\": v_to_id[v],\n \"strength\": 0,\n \"color\": color,\n \"curve\": curve,\n \"name\": str(l) if edge_labels else \"\"})\n\n loops = [e for e in edges if e[\"source\"] == e[\"target\"]]\n edges = [e for e in edges if e[\"source\"] != e[\"target\"]]\n\n # Defines the vertices' layout if possible\n Gpos = G.get_pos()\n pos = []\n if Gpos is not None and force_spring_layout is False:\n charge = 0\n link_strength = 0\n gravity = 0\n\n for v in G.vertices():\n x, y = Gpos[v]\n pos.append([json_float(x), json_float(-y)])\n\n return {\"nodes\" : nodes,\n \"links\" : edges, \"loops\": loops, \"pos\": pos,\n \"directed\" : G.is_directed(),\n \"charge\" : int(charge),\n \"link_distance\" : int(link_distance),\n \"link_strength\" : int(link_strength),\n \"gravity\" : float(gravity),\n \"vertex_labels\" : bool(vertex_labels),\n \"edge_labels\" : bool(edge_labels),\n \"vertex_size\" : int(vertex_size),\n \"edge_thickness\" : int(edge_thickness),\n \"width\" : json_float(width),\n \"height\" : json_float(height) }\n"}}︡{"done":true}︡ ︠c39ad412-1f69-435a-aaf3-597ae7ddcde5︠ G=PetersenGraph() ︡02b4e49e-03a8-4655-aec5-047ef5e154ed︡{"stderr":"Error in lines 1-1\n"}︡{"stderr":"Traceback (most recent call last):\n File \"/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py\", line 986, in execute\n reload_attached_files_if_mod_smc()\n File \"/cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py\", line 71, in reload_attached_files_if_mod_smc\n load(filename)\n File \"/cocalc/lib/python2.7/site-packages/smc_sagews/sage_salvus.py\", line 3511, in load\n exec 'salvus.namespace[\"%s\"] = sage.structure.sage_object.load(*__args, **__kwds)'%t in salvus.namespace, {'__args':other_args, '__kwds':kwds}\n File \"\", line 1, in \n File \"sage/structure/sage_object.pyx\", line 1075, in sage.structure.sage_object.load (/ext/sage/sage-8.0/src/build/cythonized/sage/structure/sage_object.c:12949)\n sage.repl.load.load(filename, globals())\n File \"/ext/sage/sage-8.0/local/lib/python2.7/site-packages/sage/repl/load.py\", line 247, in load\n exec(preparse_file(open(fpath).read()) + \"\\n\", globals)\n File \"\", line 137, in \nNameError: name 's' is not defined\n"}︡{"done":true}︡ ︠b543bdd3-7a60-4200-aa09-dc4fc9df062fs︠ salvus.d3_graph?? ︡e70c0a14-2db2-4350-940c-d8231921a61c︡{"code":{"filename":null,"lineno":-1,"mode":"python","source":" File: /cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py\n Source:\n def d3_graph(self, g, **kwds):\n from graphics import graph_to_d3_jsonable\n self._send_output(id=self._id, d3={\"viewer\":\"graph\", \"data\":graph_to_d3_jsonable(g, **kwds)})\n"}}︡{"done":true}︡ ︠537a62be-510e-456e-86e7-20f911952b53s︠ smc? ︡88ca3376-f53b-4218-8c99-790836f59fa7︡{"code":{"filename":null,"lineno":-1,"mode":"text/x-rst","source":"File: /cocalc/lib/python2.7/site-packages/smc_sagews/sage_server.py\nDocstring :\nCell execution state object and wrapper for access to special\nCoCalc Server functionality.\n\nAn instance of this object is created each time you execute a cell.\nIt has various methods for sending different types of output\nmessages, links to files, etc. Type 'help(smc)' for more details.\n\nOUTPUT LIMITATIONS -- There is an absolute limit on the number of\nmessages output for a given cell, and also the size of the output\nmessage for each cell. You can access or change those limits\ndynamically in a worksheet as follows by viewing or changing any of\nthe following variables:\n\n sage_server.MAX_STDOUT_SIZE # max length of each stdout output message\n sage_server.MAX_STDERR_SIZE # max length of each stderr output message\n sage_server.MAX_MD_SIZE # max length of each md (markdown) output message\n sage_server.MAX_HTML_SIZE # max length of each html output message\n sage_server.MAX_TEX_SIZE # max length of tex output message\n sage_server.MAX_OUTPUT_MESSAGES # max number of messages output for a cell.\n\nAnd:\n\n sage_server.MAX_OUTPUT # max total character output for a single cell; computation\n # terminated/truncated if sum of above exceeds this."}}︡{"done":true}︡ ︠870d08ef-fedb-42f9-87f4-b9ee7b1d4ff6s︠ sage_server.MAX_OUTPUT sage_server.MAX_OUTPUT_MESSAGES ︡65af2532-eefd-4bc2-8123-b9e177842e94︡{"stdout":"150000\n"}︡{"stdout":"256\n"}︡{"done":true} ︠4ed2aa0c-398e-4fdc-9719-566c35833bf6s︠ sage_server.MAX_OUTPUT_MESSAGES=100000 sage_server.MAX_OUTPUT=15000000 ︡44d2f76f-f389-4043-988b-3a372fcd0388︡{"done":true} ︠c1ffe2a7-bd27-4c5c-9ce5-4f096bfa0d35︠