compact_sets_sandbox/compact_sets_extended_simplified.ipynb

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   "source": [
    "# Topological Functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 517,
   "id": "5178de6f-a93c-45b1-9608-b0bbe8a771f2",
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   "outputs": [],
   "source": [
    "from itertools import chain, combinations, permutations, product, pairwise\n",
    "from math import prod, log\n",
    "from copy import deepcopy\n",
    "import networkx as nx\n",
    "from fractions import Fraction\n",
    "import json\n",
    "from operator import add\n",
    "\n",
    "def hs_array_to_fr(hs_array):\n",
    "    return prod([pow(dims[d], hs_array[d]) for d in range(len(dims))])\n",
    "\n",
    "def hs_array_to_cents(hs_array):\n",
    "    return (1200 * log(hs_array_to_fr(hs_array), 2))\n",
    "\n",
    "def expand_pitch(hs_array):\n",
    "    expanded_pitch = list(hs_array)\n",
    "    frequency_ratio = hs_array_to_fr(hs_array)\n",
    "    if frequency_ratio < 1:\n",
    "        while frequency_ratio < 1:\n",
    "            frequency_ratio *= 2\n",
    "            expanded_pitch[0] += 1\n",
    "    elif frequency_ratio >= 2:\n",
    "        while frequency_ratio >= 2:\n",
    "            frequency_ratio *= 1/2\n",
    "            expanded_pitch[0] += -1\n",
    "    return tuple(expanded_pitch)\n",
    "\n",
    "def expand_chord(chord):\n",
    "    return tuple(expand_pitch(p) for p in chord)\n",
    "\n",
    "def collapse_pitch(hs_array):\n",
    "    collapsed_pitch = list(hs_array)\n",
    "    collapsed_pitch[0] = 0\n",
    "    return tuple(collapsed_pitch)\n",
    "\n",
    "def collapse_chord(chord):\n",
    "    return tuple(collapse_pitch(p) for p in chord)\n",
    "\n",
    "def transpose_pitch(pitch, trans):\n",
    "    return tuple(map(add, pitch, trans))\n",
    "\n",
    "def transpose_chord(chord, trans):\n",
    "    return tuple(transpose_pitch(p, trans) for p in chord)\n",
    "\n",
    "def cent_difference(hs_array1, hs_array2):\n",
    "    return hs_array_to_cents(hs_array2) - hs_array_to_cents(hs_array1)\n",
    "\n",
    "def pitch_difference(hs_array1, hs_array2):\n",
    "    return transpose_pitch(hs_array1, [p * -1 for p in hs_array2])\n",
    "\n",
    "# this is modified for different chord sizes like original version\n",
    "def grow_chords(chord, root, min_chord_size, max_chord_size):\n",
    "    #this could use the tranpose_pitch function\n",
    "    branches = [branch for alt in [-1, 1] for d in range(1, len(root)) if (branch:=(*(r:=root)[:d], r[d] + alt, *r[(d + 1):])) not in chord]\n",
    "    subsets = chain.from_iterable(combinations(branches, r) for r in range(1, max_chord_size - len(chord) + 1))\n",
    "    for subset in subsets:\n",
    "        extended_chord = chord + subset\n",
    "        if(len(extended_chord) < max_chord_size):\n",
    "            for branch in subset:\n",
    "                yield from grow_chords(extended_chord, branch, min_chord_size, max_chord_size)\n",
    "        if(len(extended_chord) >= min_chord_size):\n",
    "            yield tuple(sorted(extended_chord, key=hs_array_to_fr))\n",
    "\n",
    "def chords(chord, root, min_chord_size, max_chord_size):\n",
    "    # this will filter out the 4x dups of paths that are loops, there might be a faster way to test this\n",
    "    return set(grow_chords(chord, root, min_chord_size, max_chord_size))\n",
    "\n",
    "# this is very slow, I have an idea in mind that my be faster by simply growing the chords to max_chord_size + max_sim_diff\n",
    "# technically at that point you have generated both chords and can get the second chord from the first\n",
    "def edges(chords, min_symdiff, max_symdiff, max_chord_size):  \n",
    "\n",
    "    def reverse_movements(movements):\n",
    "        return {value['destination']:{'destination':key, 'cent_difference':value['cent_difference'] * -1} for key, value in movements.items()}\n",
    "\n",
    "    def is_directly_tunable(intersection, diff):\n",
    "        # this only works for now when intersection if one element - need to fix that\n",
    "        return max([sum(abs(p) for p in collapse_pitch(pitch_difference(d, list(intersection)[0]))) for d in diff]) == 1\n",
    "\n",
    "    for combination in combinations(chords, 2):\n",
    "        [expanded_base, expanded_comp] = [expand_chord(chord) for chord in combination]\n",
    "        edges = []\n",
    "        transpositions = set(pitch_difference(pair[0], pair[1]) for pair in set(product(expanded_base, expanded_comp)))\n",
    "        for trans in transpositions:\n",
    "            expanded_comp_transposed = transpose_chord(expanded_comp, trans)\n",
    "            intersection = set(expanded_base) & set(expanded_comp_transposed)\n",
    "            symdiff_len = sum([len(chord) - len(intersection) for chord in [expanded_base, expanded_comp_transposed]])\n",
    "            if (min_symdiff <= symdiff_len <= max_symdiff):\n",
    "                rev_trans = tuple(t * -1 for t in trans)\n",
    "                [diff1, diff2] = [list(set(chord) - intersection) for chord in [expanded_base, expanded_comp_transposed]]\n",
    "                base_map = {val: {'destination':transpose_pitch(val, rev_trans), 'cent_difference': 0} for val in intersection}\n",
    "                base_map_rev = reverse_movements(base_map)\n",
    "                maps = []\n",
    "                diff1 += [None] * (max_chord_size - len(diff1) - len(intersection))\n",
    "                perms = [list(perm) + [None] * (max_chord_size - len(perm) - len(intersection)) for perm in set(permutations(diff2))]\n",
    "                for p in perms:\n",
    "                    appended_map = {\n",
    "                        diff1[index]:\n",
    "                        {\n",
    "                            'destination': transpose_pitch(val, rev_trans) if val != None else None, \n",
    "                            'cent_difference': cent_difference(diff1[index], val) if None not in [diff1[index], val] else None\n",
    "                        } for index, val in enumerate(p)}\n",
    "                    yield (tuple(expanded_base), tuple(expanded_comp), {\n",
    "                        'transposition': trans,\n",
    "                        'symmetric_difference': symdiff_len, \n",
    "                        'is_directly_tunable': is_directly_tunable(intersection, diff2),\n",
    "                        'movements': base_map | appended_map\n",
    "                    },)\n",
    "                    yield (tuple(expanded_comp), tuple(expanded_base), {\n",
    "                        'transposition': rev_trans,\n",
    "                        'symmetric_difference': symdiff_len, \n",
    "                        'is_directly_tunable': is_directly_tunable(intersection, diff1),\n",
    "                        'movements': base_map_rev | reverse_movements(appended_map)\n",
    "                    },)\n",
    "\n",
    "def graph_from_edges(edges):\n",
    "    g = nx.MultiDiGraph()\n",
    "    g.add_edges_from(edges)\n",
    "    return g\n",
    "\n",
    "def generate_graph(chord_set, min_symdiff, max_symdiff, max_chord_size):\n",
    "    #chord_set = chords(pitch_set, min_chord_size, max_chord_size)\n",
    "    edge_set = edges(chord_set, min_symdiff, max_symdiff, max_chord_size)\n",
    "    res_graph = graph_from_edges(edge_set)\n",
    "    return res_graph\n",
    "\n",
    "def display_graph(graph):\n",
    "    show_graph = nx.Graph(graph)\n",
    "    pos = nx.draw_spring(show_graph, node_size=5, width=0.1)\n",
    "    plt.figure(1, figsize=(12,12)) \n",
    "    nx.draw(show_graph, pos, node_size=5, width=0.1)\n",
    "    plt.show()\n",
    "    #plt.savefig('compact_sets.png', dpi=150)\n",
    "\n",
    "def path_to_chords(path, start_root):\n",
    "    current_root = start_root\n",
    "    start_chord = tuple(sorted(path[0][0], key=hs_array_to_fr))\n",
    "    chords = ((start_chord, start_chord,),)\n",
    "    for edge in path:\n",
    "        trans = edge[2]['transposition']\n",
    "        movements = edge[2]['movements']\n",
    "        current_root = transpose_pitch(current_root, trans)\n",
    "        current_ref_chord = chords[-1][0]\n",
    "        next_ref_chord = tuple(movements[pitch]['destination'] for pitch in current_ref_chord)\n",
    "        next_transposed_chord = tuple(transpose_pitch(pitch, current_root) for pitch in next_ref_chord)\n",
    "        chords += ((next_ref_chord, next_transposed_chord,),)\n",
    "    return tuple(chord[1] for chord in chords)\n",
    "\n",
    "def write_chord_sequence(seq, path):\n",
    "    file = open(path, \"w+\")\n",
    "    content = json.dumps(seq)\n",
    "    content = content.replace(\"[[[\", \"[\\n\\t[[\")\n",
    "    content = content.replace(\", [[\", \",\\n\\t[[\")\n",
    "    content = content.replace(\"]]]\", \"]]\\n]\")\n",
    "    file.write(content)\n",
    "    file.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b0722b0d-43fd-4c06-a932-248bf62fab6f",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
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   "source": [
    "# This is the static version, which will be the middle piece"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea38a1da-7eac-4434-97b6-3208379affa0",
   "metadata": {},
   "source": [
    "## path functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 518,
   "id": "aea5215c-8551-4685-b761-11c2dc74cf22",
   "metadata": {},
   "outputs": [],
   "source": [
    "from random import choice, choices, seed\n",
    "\n",
    "# This is for the static version\n",
    "def stochastic_hamiltonian(graph):\n",
    "        \n",
    "    def movement_size_weights(edges):\n",
    "        \n",
    "        def max_cent_diff(edge):\n",
    "            res = max([abs(v) for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None])\n",
    "            return res\n",
    "            \n",
    "        def min_cent_diff(edge):\n",
    "            res = [abs(v) for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
    "            res.remove(0)\n",
    "            return min(res)\n",
    "            \n",
    "        for e in edges:\n",
    "            yield 1000 if ((max_cent_diff(e) < 200) and (min_cent_diff(e)) > 50) else 1\n",
    "\n",
    "    def hamiltonian_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 10 if e[1] not in [path_edge[0] for path_edge in path] else 1 / graph.nodes[e[1]]['count']\n",
    "    \n",
    "    def contrary_motion_weights(edges):\n",
    "\n",
    "        def is_contrary(edge):\n",
    "            cent_diffs = [v for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
    "            cent_diffs.sort()\n",
    "            return (cent_diffs[0] < 0) and (cent_diffs[1] == 0) and (cent_diffs[2] > 0)\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if is_contrary(e) else 1\n",
    "    \n",
    "    def is_directly_tunable_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 10 if e[2]['is_directly_tunable'] else 0\n",
    "\n",
    "    def voice_crossing_weights(edges):\n",
    "        \n",
    "        def has_voice_crossing(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            source_order = [ordered_source.index(p) for p in source]\n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            destination_order = [ordered_destination.index(p) for p in destination]\n",
    "            return source_order != destination_order\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if not has_voice_crossing(e) else 0\n",
    "\n",
    "    def is_bass_rooted(chord):\n",
    "        return max([sum(abs(p) for p in collapse_pitch(pitch_difference(chord[0], p))) for p in chord[1:]]) == 1\n",
    "        \n",
    "    check_graph = graph.copy()\n",
    "    next_node = choice([node for node in graph.nodes() if is_bass_rooted(node)])\n",
    "    check_graph.remove_node(next_node)\n",
    "    for node in graph.nodes(data=True):\n",
    "        node[1]['count'] = 1\n",
    "    path = []\n",
    "    while (nx.number_of_nodes(check_graph) > 0) and (len(path) < 5000):\n",
    "        out_edges = list(graph.out_edges(next_node, data=True))\n",
    "        factors = [\n",
    "            movement_size_weights(out_edges), \n",
    "            hamiltonian_weights(out_edges), \n",
    "            contrary_motion_weights(out_edges), \n",
    "            is_directly_tunable_weights(out_edges),\n",
    "            voice_crossing_weights(out_edges)\n",
    "        ]\n",
    "        weights = [prod(a) for a in zip(*factors)]\n",
    "        edge = choices(out_edges, weights=weights)[0]\n",
    "        #edge = random.choice(out_edges)\n",
    "        next_node = edge[1]\n",
    "        node[1]['count'] += 1\n",
    "        path.append(edge)\n",
    "        if next_node in check_graph.nodes:\n",
    "            check_graph.remove_node(next_node)\n",
    "    return path"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17c03eb3-b670-494b-a6db-225b1ac10525",
   "metadata": {},
   "source": [
    "## model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 519,
   "id": "4e3ef738-7f64-47c3-9129-0450fd031375",
   "metadata": {},
   "outputs": [],
   "source": [
    "dims = (2, 3, 5, 7, 11)\n",
    "root = (0, 0, 0, 0, 0)\n",
    "chord = (root,)\n",
    "chord_set = chords(chord, root, 3, 3)\n",
    "graph = generate_graph(chord_set, 4, 4, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 520,
   "id": "6e0de0e5-7973-4a15-ae90-5bbb4a1ef49d",
   "metadata": {},
   "outputs": [],
   "source": [
    "seed(1954111620240509) \n",
    "path = stochastic_hamiltonian(graph)\n",
    "#for edge in path:\n",
    "#    print(edge)\n",
    "write_chord_sequence(path_to_chords(path, root), \"everything_in_between.txt\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b2e73f16-563f-4783-a6e9-0e5130be80e0",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## profiling "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "7f2d356f-6377-46cf-bbb1-32111be90f4f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The line_profiler extension is already loaded. To reload it, use:\n",
      "  %reload_ext line_profiler\n"
     ]
    }
   ],
   "source": [
    "%load_ext line_profiler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "id": "7f141bf5-fdcb-4c01-a10b-3e86d3d1a7b4",
   "metadata": {},
   "outputs": [],
   "source": [
    "chord_set = chords(chord, root, 3, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "id": "88850b8c-a743-44d0-b863-7cd9066690d9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Timer unit: 1e-09 s\n",
       "\n",
       "Total time: 0.112228 s\n",
       "File: /tmp/ipykernel_515812/2679284550.py\n",
       "Function: edge_data at line 74\n",
       "\n",
       "Line #      Hits         Time  Per Hit   % Time  Line Contents\n",
       "==============================================================\n",
       "    74                                           def edge_data(chords, min_symdiff, max_symdiff, max_chord_size):\n",
       "    75       990   29603044.0  29902.1     26.4      [expanded_base, expanded_comp] = [expand_chord(chord) for chord in chords]\n",
       "    76       990     229527.0    231.8      0.2      edges = []\n",
       "    77       990   23648371.0  23887.2     21.1      transpositions = set(pitch_difference(pair[0], pair[1]) for pair in set(product(expanded_base, expanded_comp)))\n",
       "    78      9193    2315267.0    251.9      2.1      for trans in transpositions:\n",
       "    79      8203   33386775.0   4070.1     29.7          expanded_comp_transposed = transpose_chord(expanded_comp, trans)\n",
       "    80      8203    8393773.0   1023.3      7.5          intersection = set(expanded_base) & set(expanded_comp_transposed)\n",
       "    81      8203   11812057.0   1440.0     10.5          symdiff_len = sum([len(chord) - len(intersection) for chord in [expanded_base, expanded_comp_transposed]])\n",
       "    82      8203    2530596.0    308.5      2.3          if (min_symdiff <= symdiff_len <= max_symdiff):\n",
       "    83                                                       rev_trans = tuple(t * -1 for t in trans)\n",
       "    84                                                       [diff1, diff2] = [list(set(chord) - intersection) for chord in [expanded_base, expanded_comp_transposed]]\n",
       "    85                                                       base_map = {val: {'destination':transpose_pitch(val, rev_trans), 'cent_difference': 0} for val in intersection}\n",
       "    86                                                       base_map_rev = reverse_movements(base_map)\n",
       "    87                                                       tunability = is_directly_tunable(intersection, diff2)\n",
       "    88                                                       maps = []\n",
       "    89                                                       diff1 += [None] * (max_chord_size - len(diff1) - len(intersection))\n",
       "    90                                                       perms = [list(perm) + [None] * (max_chord_size - len(perm) - len(intersection)) for perm in set(permutations(diff2))]\n",
       "    91                                                       for p in perms:\n",
       "    92                                                           appended_map = {\n",
       "    93                                                               diff1[index]:\n",
       "    94                                                               {\n",
       "    95                                                                   'destination': transpose_pitch(val, rev_trans) if val != None else None, \n",
       "    96                                                                   'cent_difference': cent_difference(diff1[index], val) if None not in [diff1[index], val] else None\n",
       "    97                                                               } for index, val in enumerate(p)}\n",
       "    98                                                           edges.append((tuple(expanded_base), tuple(expanded_comp), {\n",
       "    99                                                               'transposition': trans,\n",
       "   100                                                               'symmetric_difference': symdiff_len, \n",
       "   101                                                               'is_directly_tunable': tunability,\n",
       "   102                                                               'movements': base_map | appended_map\n",
       "   103                                                           }))\n",
       "   104                                                           edges.append((tuple(expanded_comp), tuple(expanded_base), {\n",
       "   105                                                               'transposition': rev_trans,\n",
       "   106                                                               'symmetric_difference': symdiff_len, \n",
       "   107                                                               'is_directly_tunable': tunability,\n",
       "   108                                                               'movements': base_map_rev | reverse_movements(appended_map)\n",
       "   109                                                           }))\n",
       "   110       990     308812.0    311.9      0.3      return edges if edges != [] else None"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lprun -f edge_data edges(chord_set, 3, 3, 4)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "94ab1f6a-d020-444a-b67d-e62428ed416f",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "# This is for the rising version/yitgadal, which will be either the last of the 3 pieces (with option of the pieces played in reverse)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6af2ac39-ffae-4403-af81-c214ac257aac",
   "metadata": {},
   "source": [
    "## path functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 521,
   "id": "6e4ecb10-344b-4721-b2f4-68de91d712db",
   "metadata": {},
   "outputs": [],
   "source": [
    "from random import choice, choices\n",
    "\n",
    "# This is for the rising version / yitgadal\n",
    "def stochastic_hamiltonian(graph):\n",
    "        \n",
    "    def movement_size_weights(edges):\n",
    "        \n",
    "        def max_cent_diff(edge):\n",
    "            res = max([v for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None])\n",
    "            return res\n",
    "            \n",
    "        def min_cent_diff(edge):\n",
    "            res = [v for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
    "            res.remove(0)\n",
    "            return min(res)\n",
    "            \n",
    "        for e in edges:\n",
    "            yield 1000 if ((max_cent_diff(e) < 175) and (min_cent_diff(e)) >= 0) else 1\n",
    "\n",
    "    def hamiltonian_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 10 if e[1] not in [path_edge[0] for path_edge in path] else 1 / graph.nodes[e[1]]['count']\n",
    "    \n",
    "    def contrary_motion_weights(edges):\n",
    "\n",
    "        def is_contrary(edge):\n",
    "            cent_diffs = [v for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
    "            cent_diffs.sort()\n",
    "            return (cent_diffs[0] < 0) and (cent_diffs[1] == 0) and (cent_diffs[2] > 0)\n",
    "\n",
    "        for e in edges:\n",
    "            yield 2 if is_contrary(e) else 1\n",
    "    \n",
    "    def is_directly_tunable_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 10 if e[2]['is_directly_tunable'] else 0\n",
    "\n",
    "    def transposition_weight(edges):\n",
    "        for e in edges:\n",
    "            yield 1000 if 0 <= hs_array_to_cents(e[2]['transposition']) < 100 else 0\n",
    "\n",
    "    def is_sustained_voice(edges, voice):\n",
    "        \n",
    "        def is_sustained(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            return ordered_source[voice] == ordered_destination[voice]\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if is_sustained(e) else 0\n",
    "\n",
    "    def voice_crossing_weights(edges):\n",
    "        \n",
    "        def has_voice_crossing(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            source_order = [ordered_source.index(p) for p in source]\n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            destination_order = [ordered_destination.index(p) for p in destination]\n",
    "            return source_order != destination_order\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if not has_voice_crossing(e) else 0\n",
    "\n",
    "    def is_bass_rooted(chord):\n",
    "        return max([sum(abs(p) for p in collapse_pitch(pitch_difference(chord[0], p))) for p in chord[1:]]) == 1\n",
    "        \n",
    "    check_graph = graph.copy()\n",
    "    #next_node = choice([node for node in graph.nodes() if is_bass_rooted(node)])\n",
    "    next_node = choice(list(graph.nodes()))\n",
    "    print(next_node)\n",
    "    check_graph.remove_node(next_node)\n",
    "    for node in graph.nodes(data=True):\n",
    "        node[1]['count'] = 1\n",
    "    path = []\n",
    "    while (nx.number_of_nodes(check_graph) > 0) and (len(path) < 500):\n",
    "        out_edges = list(graph.out_edges(next_node, data=True))\n",
    "        #print([l for l in zip(movement_size_weights(out_edges), hamiltonian_weights(out_edges))])\n",
    "        factors = [\n",
    "            movement_size_weights(out_edges), \n",
    "            hamiltonian_weights(out_edges), \n",
    "            voice_crossing_weights(out_edges),\n",
    "            #contrary_motion_weights(out_edges), \n",
    "            #is_directly_tunable_weights(out_edges),\n",
    "            #transposition_weight(out_edges)\n",
    "            #is_sustained_voice(out_edges, 0)\n",
    "        ]\n",
    "        weights = [prod(a) for a in zip(*factors)]\n",
    "        edge = choices(out_edges, weights=weights)[0]\n",
    "        next_node = edge[1]\n",
    "        node[1]['count'] += 1\n",
    "        path.append(edge)\n",
    "        if next_node in check_graph.nodes:\n",
    "            check_graph.remove_node(next_node)\n",
    "    print(len(check_graph.nodes()))\n",
    "    return path"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62a5c827-d57f-4eea-a43d-56e24c0e2ff3",
   "metadata": {},
   "source": [
    "## model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 522,
   "id": "a76dc0f3-02e2-4739-9014-b53d3a590e3d",
   "metadata": {},
   "outputs": [],
   "source": [
    "dims = (2, 3, 5, 7, 11)\n",
    "root = (0, 0, 0, 0, 0)\n",
    "chord = (root,)\n",
    "chord_set = chords(chord, root, 3, 3)\n",
    "graph = generate_graph(chord_set, 2, 2, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 523,
   "id": "7b76d848-fe53-4b60-b414-46cfe570f78b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "((3, 0, -1, 0, 0), (0, 0, 0, 0, 0), (-1, 0, -1, 0, 1))\n",
      "0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "159"
      ]
     },
     "execution_count": 523,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "seed(20240509)\n",
    "path = stochastic_hamiltonian(graph)\n",
    "#for edge in path:\n",
    "#    print(edge)\n",
    "write_chord_sequence(path_to_chords(path, root), \"rise_yitgadal.txt\")\n",
    "len(path)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4a9a4688-c648-4339-a328-4c514fca75f2",
   "metadata": {},
   "source": [
    "# This is for the beginning/breysheet, which will be the first of the set of 3 (with option in reverse)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6849a0ac-cb9b-45f2-b32d-5695a06549d9",
   "metadata": {},
   "source": [
    "## functions for analyzing a recording and filtering the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "91fd1700-6f41-4a4c-98cb-8355075d44d2",
   "metadata": {},
   "outputs": [],
   "source": [
    "#ffmpeg -i video.mkv -acodec pcm_s16le -ar 16000 -ac 2 bereshit_chant.wav\n",
    "#sox bereshit_chant.wav bereshit_chant_snippet.wav trim 4 60"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 483,
   "id": "51be5ff2-2b7f-4350-878f-09e79d4bff1f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import crepe\n",
    "from scipy.io import wavfile"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 484,
   "id": "9b8e1e21-c5f5-4d77-8d1c-094b073b8322",
   "metadata": {},
   "outputs": [],
   "source": [
    "sr, audio = wavfile.read('/home/mwinter/Downloads/bereshit_chant_snippet.wav')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 485,
   "id": "01f8f969-fc3c-46a2-acfd-b1f956e438bc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[1m76/76\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m24s\u001b[0m 303ms/step\n"
     ]
    }
   ],
   "source": [
    "time, frequency, confidence, activation = crepe.predict(audio, sr, step_size = 25)\n",
    "#time, frequency, confidence = [list(time), list(frequency), list(confidence)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6909f6c9-b8b7-4fe8-bca3-57fb8b8851b3",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## legacy stuff"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "63d4b87f-7782-4aec-9066-6f2710f3d997",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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    },
    {
     "data": {
      "text/plain": [
       "[(2.125, 51.0, 2, (0,), 0.0),\n",
       " (0.3, 46.0, 1, (0,), -500.0),\n",
       " (0.7, 44.0, 1, (0,), -200.0),\n",
       " (0.3, 41.0, 0, (0,), -300.0),\n",
       " (0.7, 39.0, 0, (0,), -200.0),\n",
       " (1.0, 53.0, 2, (0,), 1400.0),\n",
       " (0.2, 42.0, 1, (0,), -1100.0),\n",
       " (1.5, 51.0, 2, (0,), 900.0),\n",
       " (0.35, 41.0, 1, (0,), -1000.0),\n",
       " (1.7, 37.0, 0, (0,), -400.0),\n",
       " (1.85, 36.0, 0, (0,), -100.0),\n",
       " (0.6, 42.0, 1, (0,), 600.0),\n",
       " (0.725, 49.0, 2, (0,), 700.0),\n",
       " (0.575, 48.0, 2, (0,), -100.0),\n",
       " (0.4, 37.0, 0, (0,), -1100.0),\n",
       " (0.325, 49.0, 2, (0,), 1200.0),\n",
       " (0.05, 39.0, 0, (0,), -1000.0),\n",
       " (0.35, 44.0, 1, (0,), 500.0),\n",
       " (0.225, 51.0, 2, (0,), 700.0),\n",
       " (0.05, 40.0, 0, (0,), -1100.0),\n",
       " (0.05, 39.0, 0, (0,), -100.0),\n",
       " (0.3, 44.0, 1, (0,), 500.0),\n",
       " (0.05, 52.0, 2, (0,), 800.0),\n",
       " (0.75, 51.0, 2, (0,), -100.0),\n",
       " (0.05, 42.0, 1, (0,), -900.0),\n",
       " (1.25, 41.0, 1, (0,), -100.0),\n",
       " (0.2, 37.0, 0, (0,), -400.0),\n",
       " (0.8, 36.0, 0, (0,), -100.0),\n",
       " (0.6, 44.0, 1, (0,), 800.0),\n",
       " (0.2, 49.0, 2, (0,), 500.0),\n",
       " (1.8, 48.0, 2, (0,), -100.0),\n",
       " (0.5, 46.0, 1, (0,), -200.0),\n",
       " (1.3, 39.0, 0, (0,), -700.0),\n",
       " (0.3, 44.0, 1, (0,), 500.0),\n",
       " (0.925, 51.0, 2, (0,), 700.0),\n",
       " (0.45, 41.0, 0, (0,), -1000.0),\n",
       " (1.225, 39.0, 0, (0,), -200.0),\n",
       " (0.375, 53.0, 2, (0,), 1400.0),\n",
       " (1.1, 40.0, 0, (0,), -1300.0),\n",
       " (0.175, 45.0, 1, (0,), 500.0),\n",
       " (0.225, 51.0, 2, (0,), 600.0),\n",
       " (0.025, 41.0, 1, (0,), -1000.0),\n",
       " (1.3, 36.0, 0, (0,), -500.0),\n",
       " (0.05, 46.0, 1, (0,), 1000.0),\n",
       " (0.4, 52.0, 2, (0,), 600.0),\n",
       " (1.8, 48.0, 2, (0,), -400.0),\n",
       " (0.7, 44.0, 1, (0,), -400.0),\n",
       " (0.1, 42.0, 1, (0,), -200.0),\n",
       " (0.95, 53.0, 2, (0,), 1100.0),\n",
       " (1.45, 41.0, 0, (0,), -1200.0),\n",
       " (0.35, 51.0, 2, (0,), 1000.0),\n",
       " (0.175, 39.0, 0, (0,), -1200.0),\n",
       " (0.175, 37.0, 0, (0,), -200.0),\n",
       " (1.375, 49.0, 2, (0,), 1200.0),\n",
       " (0.025, 40.0, 0, (0,), -900.0),\n",
       " (0.25, 41.0, 0, (0,), 100.0),\n",
       " (1.35, 40.0, 0, (0,), -100.0),\n",
       " (0.1, 45.0, 1, (0,), 500.0),\n",
       " (0.25, 46.0, 1, (0,), 100.0),\n",
       " (0.375, 39.0, 0, (0,), -700.0),\n",
       " (0.425, 45.0, 1, (0,), 600.0),\n",
       " (0.575, 44.0, 1, (0,), -100.0),\n",
       " (0.1, 45.0, 1, (0,), 100.0),\n",
       " (0.225, 44.0, 1, (0,), -100.0),\n",
       " (0.2, 42.0, 1, (0,), -200.0),\n",
       " (0.225, 41.0, 1, (0,), -100.0),\n",
       " (0.175, 39.0, 1, (0,), -200.0),\n",
       " (0.4, 40.0, 0, (0,), 100.0),\n",
       " (0.15, 39.0, 0, (0,), -100.0),\n",
       " (0.1, 52.0, 2, (0,), 1300.0),\n",
       " (0.625, 53.0, 2, (0,), 100.0),\n",
       " (0.025, 52.0, 2, (0,), -100.0),\n",
       " (0.4, 37.0, 0, (0,), -1500.0),\n",
       " (0.4, 51.0, 2, (0,), 1400.0),\n",
       " (0.175, 36.0, 0, (0,), -1500.0),\n",
       " (0.1, 52.0, 2, (0,), 1600.0),\n",
       " (0.225, 51.0, 2, (0,), -100.0),\n",
       " (0.2, 49.0, 2, (0,), -200.0),\n",
       " (0.2, 48.0, 2, (0,), -100.0),\n",
       " (0.025, 34.0, 0, (0,), -1400.0),\n",
       " (0.075, 46.0, 2, (0,), 1200.0),\n",
       " (0.3, 44.0, 1, (0,), -200.0),\n",
       " (1.4, 45.0, 1, (0,), 100.0),\n",
       " (0.3, 51.0, 2, (0,), 600.0),\n",
       " (0.2, 52.0, 2, (0,), 100.0),\n",
       " (0.075, 39.0, 0, (0,), -1300.0),\n",
       " (1.425, 40.0, 0, (0,), 100.0),\n",
       " (0.4, 42.0, 0, (0,), 200.0),\n",
       " (0.3, 44.0, 0, (0,), 200.0),\n",
       " (0.4, 45.0, 0, (0,), 100.0),\n",
       " (0.4, 47.0, 1, (0,), 200.0),\n",
       " (0.3, 49.0, 1, (0,), 200.0),\n",
       " (1.0, 50.0, 1, (0,), 100.0),\n",
       " (0.1, 54.0, 2, (0,), 400.0),\n",
       " (0.3, 41.0, 0, (0,), -1300.0),\n",
       " (0.3, 56.0, 2, (0,), 1500.0),\n",
       " (0.125, 57.0, 2, (0,), 100.0),\n",
       " (1.525, 46.0, 1, (0,), -1100.0),\n",
       " (0.35, 50.0, 1, (0,), 400.0),\n",
       " (0.025, 48.0, 1, (0,), -200.0),\n",
       " (0.15, 47.0, 1, (0,), -100.0),\n",
       " (0.025, 44.0, 1, (0,), -300.0),\n",
       " (2.55, 53.0, 2, (0,), 900.0),\n",
       " (0.35, 45.0, 0, (0,), -800.0),\n",
       " (0.025, 43.0, 0, (0,), -200.0),\n",
       " (0.15, 42.0, 0, (0,), -100.0),\n",
       " (1.0, 39.0, 0, (0,), -300.0),\n",
       " (0.35, 57.0, 2, (0,), 1800.0),\n",
       " (0.025, 55.0, 2, (0,), -200.0),\n",
       " (0.15, 54.0, 2, (0,), -100.0),\n",
       " (2.6, 51.0, 2, (0,), -300.0),\n",
       " (0.05, 41.0, 0, (0,), -1000.0),\n",
       " (0.2, 46.0, 1, (0,), 500.0),\n",
       " (1.95, 53.0, 2, (0,), 700.0),\n",
       " (0.05, 39.0, 0, (0,), -1400.0),\n",
       " (0.2, 44.0, 1, (0,), 500.0),\n",
       " (2.125, 51.0, 2, (0,), 700.0),\n",
       " (0.45, 42.0, 1, (0,), -900.0),\n",
       " (1.6, 41.0, 1, (0,), -100.0),\n",
       " (0.45, 37.0, 0, (0,), -400.0),\n",
       " (0.025, 36.0, 0, (0,), -100.0),\n",
       " (1.0, 42.0, 1, (0,), 600.0),\n",
       " (0.1, 37.0, 0, (0,), -500.0),\n",
       " (1.0, 44.0, 1, (0,), 700.0),\n",
       " (0.75, 39.0, 0, (0,), -500.0),\n",
       " (1.125, 49.0, 2, (0,), 1000.0),\n",
       " (0.725, 48.0, 2, (0,), -100.0),\n",
       " (0.275, 49.0, 2, (0,), 100.0),\n",
       " (1.3, 51.0, 2, (0,), 200.0),\n",
       " (0.025, 50.0, 2, (0,), -100.0),\n",
       " (0.075, 43.0, 1, (0,), -700.0),\n",
       " (0.05, 52.0, 2, (0,), 900.0),\n",
       " (0.275, 53.0, 2, (0,), 100.0),\n",
       " (0.2, 45.0, 1, (0,), -800.0),\n",
       " (0.4, 46.0, 1, (0,), 100.0),\n",
       " (0.4, 38.0, 0, (0,), -800.0),\n",
       " (0.2, 40.0, 0, (0,), 200.0),\n",
       " (0.4, 41.0, 0, (0,), 100.0),\n",
       " (0.275, 44.0, 1, (0,), 300.0),\n",
       " (0.1, 48.0, 1, (0,), 400.0),\n",
       " (0.2, 50.0, 1, (0,), 200.0),\n",
       " (0.125, 49.0, 1, (0,), -100.0),\n",
       " (0.3, 55.0, 2, (0,), 600.0),\n",
       " (0.1, 39.0, 0, (0,), -1600.0),\n",
       " (0.175, 57.0, 2, (0,), 1800.0),\n",
       " (0.1, 43.0, 0, (0,), -1400.0),\n",
       " (0.175, 45.0, 0, (0,), 200.0),\n",
       " (0.025, 50.0, 1, (0,), 500.0),\n",
       " (0.225, 44.0, 0, (0,), -600.0),\n",
       " (0.1, 49.0, 1, (0,), 500.0),\n",
       " (0.15, 56.0, 2, (0,), 700.0),\n",
       " (0.5, 46.0, 1, (0,), -1000.0),\n",
       " (0.25, 45.0, 0, (0,), -100.0),\n",
       " (0.65, 44.0, 0, (0,), -100.0),\n",
       " (0.35, 44.0, 1, (0,), 0.0),\n",
       " (1.7, 41.0, 0, (0,), -300.0),\n",
       " (0.3, 39.0, 0, (0,), -200.0),\n",
       " (1.0, 57.0, 2, (0,), 1800.0),\n",
       " (1.0, 56.0, 2, (0,), -100.0),\n",
       " (1.7, 53.0, 2, (0,), -300.0),\n",
       " (2.625, 51.0, 2, (0,), -200.0),\n",
       " (0.05, 41.0, 0, (0,), -1000.0),\n",
       " (0.2, 46.0, 1, (0,), 500.0),\n",
       " (0.2, 53.0, 2, (0,), 700.0),\n",
       " (0.05, 39.0, 0, (0,), -1400.0),\n",
       " (0.2, 44.0, 1, (0,), 500.0),\n",
       " (2.475, 51.0, 2, (0,), 700.0),\n",
       " (1.5, 41.0, 1, (0,), -1000.0),\n",
       " (1.6, 42.0, 1, (0,), 100.0),\n",
       " (1.3, 36.0, 0, (0,), -600.0),\n",
       " (0.2, 39.0, 1, (0,), 300.0),\n",
       " (0.025, 37.0, 0, (0,), -200.0),\n",
       " (0.575, 48.0, 2, (0,), 1100.0),\n",
       " (0.3, 46.0, 1, (0,), -200.0),\n",
       " (0.625, 47.0, 1, (0,), 100.0),\n",
       " (0.55, 49.0, 2, (0,), 200.0),\n",
       " (0.2, 34.0, 0, (0,), -1500.0),\n",
       " (0.075, 41.0, 0, (0,), 700.0),\n",
       " (0.525, 42.0, 0, (0,), 100.0),\n",
       " (0.125, 37.0, 0, (0,), -500.0),\n",
       " (1.425, 42.0, 1, (0,), 500.0),\n",
       " (0.65, 46.0, 2, (0,), 400.0),\n",
       " (0.075, 53.0, 2, (0,), 700.0),\n",
       " (0.525, 54.0, 2, (0,), 100.0),\n",
       " (0.1, 49.0, 2, (0,), -500.0),\n",
       " (0.9, 44.0, 1, (0,), -500.0),\n",
       " (0.325, 41.0, 1, (0,), -300.0),\n",
       " (0.475, 39.0, 0, (0,), -200.0),\n",
       " (2.175, 51.0, 2, (0,), 1200.0),\n",
       " (0.95, 48.0, 2, (0,), -300.0),\n",
       " (0.05, 36.0, 0, (0,), -1200.0),\n",
       " (0.5, 44.0, 1, (0,), 800.0),\n",
       " (0.6, 45.0, 1, (0,), 100.0),\n",
       " (1.175, 44.0, 1, (0,), -100.0),\n",
       " (0.125, 39.0, 0, (0,), -500.0),\n",
       " (0.15, 40.0, 0, (0,), 100.0),\n",
       " (0.35, 39.0, 0, (0,), -100.0),\n",
       " (0.1, 46.0, 1, (0,), 700.0),\n",
       " (0.2, 41.0, 0, (0,), -500.0),\n",
       " (0.1, 51.0, 2, (0,), 1000.0),\n",
       " (0.4, 40.0, 0, (0,), -1100.0),\n",
       " (0.05, 52.0, 2, (0,), 1200.0),\n",
       " (0.35, 39.0, 0, (0,), -1300.0),\n",
       " (0.2, 45.0, 1, (0,), 600.0),\n",
       " (1.6, 51.0, 2, (0,), 600.0),\n",
       " (0.2, 44.0, 1, (0,), -700.0),\n",
       " (0.45, 53.0, 2, (0,), 900.0),\n",
       " (0.05, 37.0, 0, (0,), -1600.0),\n",
       " (0.2, 42.0, 1, (0,), 500.0),\n",
       " (0.5, 43.0, 1, (0,), 100.0),\n",
       " (0.05, 52.0, 2, (0,), 900.0),\n",
       " (0.35, 38.0, 0, (0,), -1400.0),\n",
       " (0.475, 45.0, 1, (0,), 700.0),\n",
       " (0.925, 44.0, 1, (0,), -100.0),\n",
       " (0.7, 51.0, 2, (0,), 700.0),\n",
       " (0.2, 49.0, 2, (0,), -200.0),\n",
       " (0.9, 50.0, 2, (0,), 100.0),\n",
       " (0.05, 52.0, 2, (0,), 200.0),\n",
       " (0.425, 40.0, 0, (0,), -1200.0),\n",
       " (0.95, 51.0, 2, (0,), 1100.0),\n",
       " (1.925, 39.0, 0, (0,), -1200.0),\n",
       " (0.8, 40.0, 0, (0,), 100.0),\n",
       " (0.3, 41.0, 0, (0,), 100.0),\n",
       " (0.8, 45.0, 1, (0,), 400.0),\n",
       " (0.6, 46.0, 1, (0,), 100.0),\n",
       " (0.375, 37.0, 0, (0,), -900.0),\n",
       " (0.725, 52.0, 2, (0,), 1500.0),\n",
       " (0.075, 42.0, 1, (0,), -1000.0),\n",
       " (1.7, 53.0, 2, (0,), 1100.0),\n",
       " (0.025, 49.0, 2, (0,), -400.0),\n",
       " (0.75, 49.0, 1, (0,), 0.0),\n",
       " (0.9, 47.0, 1, (0,), -200.0),\n",
       " (0.8, 46.0, 1, (0,), -100.0),\n",
       " (0.65, 44.0, 1, (0,), -200.0),\n",
       " (0.65, 44.0, 0, (0,), 0.0),\n",
       " (0.1, 46.0, 1, (0,), 200.0),\n",
       " (0.375, 42.0, 0, (0,), -400.0),\n",
       " (0.2, 41.0, 0, (0,), -100.0),\n",
       " (0.275, 39.0, 0, (0,), -200.0),\n",
       " (0.05, 56.0, 2, (0,), 1700.0),\n",
       " (0.25, 41.0, 0, (0,), -1500.0),\n",
       " (0.45, 39.0, 0, (0,), -200.0),\n",
       " (0.375, 54.0, 2, (0,), 1500.0),\n",
       " (0.2, 53.0, 2, (0,), -100.0),\n",
       " (0.325, 51.0, 2, (0,), -200.0),\n",
       " (0.25, 53.0, 2, (0,), 200.0),\n",
       " (4.55, 51.0, 2, (0,), -200.0),\n",
       " (0.575, 42.0, 1, (0,), -900.0),\n",
       " (0.325, 41.0, 1, (0,), -100.0),\n",
       " (0.175, 42.0, 1, (0,), 100.0),\n",
       " (0.075, 44.0, 1, (0,), 200.0),\n",
       " (0.4, 37.0, 0, (0,), -700.0),\n",
       " (1.075, 49.0, 2, (0,), 1200.0),\n",
       " (0.325, 36.0, 0, (0,), -1300.0),\n",
       " (0.175, 37.0, 0, (0,), 100.0),\n",
       " (0.725, 39.0, 0, (0,), 200.0),\n",
       " (1.3, 48.0, 2, (0,), 900.0),\n",
       " (0.7, 49.0, 2, (0,), 100.0),\n",
       " (0.9, 51.0, 2, (0,), 200.0),\n",
       " (0.6, 45.0, 1, (0,), -600.0),\n",
       " (0.4, 46.0, 1, (0,), 100.0),\n",
       " (0.6, 40.0, 0, (0,), -600.0),\n",
       " (0.2, 41.0, 0, (0,), 100.0),\n",
       " (0.8, 44.0, 1, (0,), 300.0),\n",
       " (0.075, 40.0, 0, (0,), -400.0),\n",
       " (0.125, 52.0, 2, (0,), 1200.0),\n",
       " (0.025, 39.0, 0, (0,), -1300.0),\n",
       " (0.25, 53.0, 2, (0,), 1400.0),\n",
       " (0.05, 52.0, 2, (0,), -100.0),\n",
       " (0.45, 51.0, 2, (0,), -100.0),\n",
       " (0.025, 52.0, 2, (0,), 100.0),\n",
       " (0.325, 45.0, 1, (0,), -700.0)]"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import librosa \n",
    "import numpy as np\n",
    "from scipy.signal import savgol_filter\n",
    "import matplotlib.pyplot as plt\n",
    "from random import randint\n",
    "\n",
    "def filter_data(time, frequency, confidence):\n",
    "    data = tuple(data for data in zip(list(time), list(frequency), list(confidence)) if data[2] > 0.1)\n",
    "    dev = 0\n",
    "    dur = 0\n",
    "    for (p1, p2) in pairwise(data):\n",
    "        t_diff = (p2[0] - p1[0])\n",
    "        dur = round(dur + (p2[0] - p1[0]), 2)\n",
    "        if(True):\n",
    "            freq1, conf1 = p1[1:3]\n",
    "            midi1 = librosa.hz_to_midi(freq1)\n",
    "            r_midi1 = np.around(midi1)\n",
    "            freq2, conf2 = p2[1:3]\n",
    "            midi2 = librosa.hz_to_midi(freq2)\n",
    "            r_midi2 = np.around(midi2)\n",
    "            #if(r_midi2 != r_midi1):\n",
    "            if(True):\n",
    "                yield(dur, freq1, conf1, midi1, r_midi1, dev * 100)\n",
    "                dev = r_midi2 - r_midi1\n",
    "                dur = 0\n",
    "\n",
    "def filter_data(time, frequency, confidence):\n",
    "    data = tuple(data for data in zip(list(time), list(frequency), list(confidence)) if data[2] > 0.9)\n",
    "    #durs = tuple(round(y[0]-x[0], 2) for (x, y) in pairwise(data)) + ((1,))\n",
    "    #data = tuple((d,) + data[i][1:] for i, d in enumerate(durs) if d > 0.01)\n",
    "    #print(data)\n",
    "    m, rm = [librosa.hz_to_midi(data[0][1]), np.around(librosa.hz_to_midi(data[0][1]))]\n",
    "    yield(data[0] + (m, rm, 0,))\n",
    "    for i, [t, f, c] in enumerate(data):\n",
    "        nm, nrm = [librosa.hz_to_midi(f), np.around(librosa.hz_to_midi(f))]\n",
    "        if((0 < i < len(data) - 1) and (nrm != rm)):\n",
    "            m, rm, d = [nm, nrm, nrm - rm]\n",
    "            yield(t, f, c, m, rm, d * 100)\n",
    "            \n",
    "t_min = 50\n",
    "t_max = 600\n",
    "f_time, f_frequency, f_confidence = [time[t_min:], frequency[t_min:], confidence[t_min:]]\n",
    "s_confidence = savgol_filter(f_confidence, 30, 4)\n",
    "#plt.plot(f_time, f_confidence)\n",
    "#plt.plot(f_time, s_confidence, color='red')\n",
    "#plt.show()\n",
    "\n",
    "def freqs_to_midi(freqs, confs):\n",
    "    last_confident_value = 51\n",
    "    for f, c in zip(freqs, confs):\n",
    "        if c > 0.9:\n",
    "            last_confident_value = librosa.hz_to_midi(f)\n",
    "        yield last_confident_value\n",
    "            \n",
    "#m_time, midi = zip(*[[t, librosa.hz_to_midi(f)] for t, f, c in zip(f_time, f_frequency, s_confidence) if c > 0.0])\n",
    "#nr_midi = np.interp(f_time, m_time, midi)\n",
    "#r_midi = np.interp(f_time, m_time, np.around(midi))\n",
    "#midi\n",
    "\n",
    "#data_v2 = tuple(d + (2,) for d in zip(f_time, f_frequency, s_confidence))\n",
    "#data_v1 = tuple(d + (1,) for d in zip([t + 2 for t in f_time], f_frequency, s_confidence))\n",
    "#data_v0 = tuple(d + (0,) for d in zip([t + 4 for t in f_time], f_frequency, s_confidence))\n",
    "\n",
    "#data = data_v2 + data_v1 + data_v0\n",
    "#data = sorted(data)\n",
    "#f_time = tuple(d[0] for d in data)\n",
    "#ins = tuple(d[-1] for d in data)\n",
    "\n",
    "def snap_midi(midi):\n",
    "    r_midi = np.around(midi)\n",
    "    s_midi = np.around(savgol_filter(midi, 30, 5))\n",
    "    last_val = s_midi[0]\n",
    "    for i, (r1, r2) in enumerate(pairwise(r_midi)):\n",
    "        if r1 != r2:\n",
    "            last_val = s_midi[i+5]\n",
    "        yield last_val\n",
    "    yield last_val\n",
    "\n",
    "def format_midi(midi):\n",
    "    last_val = midi[0]\n",
    "    dur = 1\n",
    "    dev = 0.0\n",
    "    first_flag = True\n",
    "    for i, (m1, m2) in enumerate(pairwise(midi)):\n",
    "        if m1 != m2:\n",
    "            #yield (dur / 40, last_val, dev * 100)\n",
    "            if first_flag or dur < 10:\n",
    "                yield (10 / 40.0, last_val, dev * 100)\n",
    "                first_flag = False\n",
    "            else:\n",
    "                size = int(dur / 20)\n",
    "                \n",
    "                #sep = randint(1, size)\n",
    "                #yield (10 / 40.0 * sep, last_val, dev * 100)\n",
    "                #yield (10 / 40.0 * (size - sep), last_val, 0.0)\n",
    "\n",
    "                b_dur = randint(5, 10)\n",
    "                yield (randint(10, 20) / 40.0, last_val, dev * 100)\n",
    "                for i in range(size):\n",
    "                    yield (randint(10, 20) / 40.0, last_val, 0.0)\n",
    "                    \n",
    "            last_val = m2\n",
    "            dur = 1\n",
    "            dev = m2 - m1\n",
    "        else:\n",
    "            dur += 1\n",
    "\n",
    "#need to figure out how to make each note hold for a bit and then release\n",
    "def filter_midi(midi):\n",
    "    last_val = midi[0][-1]\n",
    "    ins = 2\n",
    "    dur = 1\n",
    "    total_dur = 0\n",
    "    dev = 0.0\n",
    "    remaining_durs = [100, 100, 100]\n",
    "    first_flag = True\n",
    "    for i, (m1, m2) in enumerate(pairwise(midi)):\n",
    "        if m1 != m2:\n",
    "            #print([m1, m2])\n",
    "            #print(last_val)\n",
    "            #print(ins)\n",
    "            #yield (dur / 40, last_val, ins, dev * 100)\n",
    "\n",
    "            if first_flag or dur < 20:\n",
    "                allowed_ins = (ins,)\n",
    "                print((10 / 40.0, last_val, ins, allowed_ins, dev * 100))\n",
    "                yield (10 / 40.0, last_val, ins, allowed_ins, dev * 100)\n",
    "                first_flag = False\n",
    "            else:\n",
    "                size = int(dur / 10) \n",
    "\n",
    "                #b_dur = randint(1, size)\n",
    "                #yield ((b_dur * 10) / 40.0, last_val, ins, dev * 100)\n",
    "                #yield (((size - b_dur) * 10) / 40.0, last_val, ins, 0)\n",
    "\n",
    "                #yield (((size - 1) * 10) / 40.0, last_val, ins, dev * 100)\n",
    "                #yield (10 / 40.0, last_val, ins, 0)\n",
    "\n",
    "                #allowed_ins = tuple(ibx for ibx, r_dur in enumerate(remaining_durs) if r_dur < 20 or ibx == ins)\n",
    "                allowed_ins = (ins,)\n",
    "                yield (randint(5, 10) / 40.0, last_val, ins, allowed_ins, dev * 100)\n",
    "                print((randint(5, 10) / 40.0, last_val, ins, allowed_ins, dev * 100))\n",
    "                for irx in range(size - 1):\n",
    "                    allowed_ins = tuple(ibx for ibx, r_dur in enumerate(remaining_durs) if r_dur < 20 and ibx != ins)\n",
    "                    yield (randint(5, 10) / 40.0, last_val, ins, allowed_ins, 0.0)\n",
    "                    print((randint(5, 10) / 40.0, last_val, ins, allowed_ins, 0.0))\n",
    "\n",
    "            remaining_durs[ins] = 0\n",
    "            print(ins)\n",
    "            print(midi[i + remaining_durs[ins]])\n",
    "            print(midi[i + 1 + remaining_durs[ins]])\n",
    "            while midi[i + 1 + remaining_durs[ins]][ins] == midi[i + 2 + remaining_durs[ins]][ins] and midi[total_dur + 2 + remaining_durs[ins]][ins] < len(midi):\n",
    "                remaining_durs[ins] += 1\n",
    "\n",
    "            ins = [imx for imx, m in enumerate(m1) if m1[imx] != m2[imx]][0]\n",
    "            #ins = 2\n",
    "            dur = 1\n",
    "            dev = m2[ins] - last_val\n",
    "            last_val = m2[ins]\n",
    "        else:\n",
    "            dur += 1\n",
    "            remaining_durs = [r_dur - 1 for r_dur in remaining_durs]\n",
    "        print(remaining_durs)\n",
    "        print(midi[i])\n",
    "        total_dur += 1\n",
    "\n",
    "def filter_midi(midi):\n",
    "    remainder_durs = [1000, 1000, 1000]\n",
    "    for imx, m in enumerate(midi):\n",
    "        if m != midi[imx - 1]:\n",
    "            if imx == 0:\n",
    "                ins = 2\n",
    "                val = m[2]\n",
    "                last_val = val\n",
    "            else:\n",
    "                ins = [pmx for pmx, p in enumerate(m) if p != midi[imx - 1][pmx]][0]\n",
    "                val = m[ins]\n",
    "            note_dur = 0\n",
    "            print(ins)\n",
    "            print(val)\n",
    "            while imx + note_dur < len(midi) and midi[imx + note_dur][ins] == val:\n",
    "                note_dur += 1\n",
    "            next_dur = 0\n",
    "            while imx + next_dur < len(midi) and midi[imx + next_dur] == m:\n",
    "                next_dur += 1\n",
    "            remainder_durs[ins] = note_dur - next_dur\n",
    "            dev = val - last_val\n",
    "            allowed_ins = (0,)\n",
    "            \n",
    "            yield (next_dur / 40.0, val, ins, allowed_ins, dev * 100)\n",
    "            \n",
    "            last_val = val\n",
    "            remainder_durs = [rd - 1 for rd in remainder_durs]\n",
    "    \n",
    "midi = list(freqs_to_midi(f_frequency, f_confidence))\n",
    "\n",
    "#plt.plot(f_time, midi)\n",
    "#plt.plot(f_time, savgol_filter(midi, 30, 5), color='yellow')\n",
    "#plt.plot(f_time, np.around(savgol_filter(midi, 30, 5)), color='red')\n",
    "#plt.plot(f_time, np.around(midi), color='green')\n",
    "#plt.plot(f_time, list(snap_midi(midi)), color='blue')\n",
    "#plt.show()\n",
    "\n",
    "midi = tuple(snap_midi(midi))\n",
    "\n",
    "#print(len(midi))\n",
    "#print(midi)\n",
    "\n",
    "fs = 2351 # sample rate \n",
    "f = 20 # the frequency of the signal\n",
    "\n",
    "#midi = zip(\n",
    "#    tuple(midi[0] - 12 for i in range(2 * 40)) + tuple(chain(*tuple([m - 12 for r in range(randint(2, 4))] for m in midi))),\n",
    "#    tuple(midi[0] - 7 for i in range(1 * 40)) + tuple(chain(*tuple([m - 7 for r in range(randint(1, 3))] for m in midi))) + tuple(midi[-1] - 12 for i in range(5 * 40)),\n",
    "#    tuple(chain(*tuple([m for r in range(int(1 - np.cos(2*np.pi*f * (imx/fs))) * 5 + 1)] for imx, m in enumerate(midi)))) + tuple(midi[-1] - 0 for i in range(10 * 40)))\n",
    "\n",
    "midi = zip(\n",
    "    tuple(midi[0] - 12 for i in range(2 * 40)) + tuple(chain(*tuple([m - 12 for r in range(int(1 - np.sin(2*np.pi*14 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi)))),\n",
    "    tuple(midi[0] - 7 for i in range(1 * 40)) + tuple(chain(*tuple([m - 7 for r in range(int(1 - np.sin(2*np.pi*12 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi)))),\n",
    "    tuple(chain(*tuple([m for r in range(int(1 - np.cos(0.5 * np.pi + 2*np.pi*10 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi))))\n",
    ")\n",
    "\n",
    "#for m in list(midi):\n",
    "#    print(m)\n",
    "\n",
    "target_melody_data = list(filter_midi(list(midi)))\n",
    "target_melody_data\n",
    "\n",
    "\n",
    "#target_melody_data = list(filter_data(time, frequency, confidence))\n",
    "#target_melody_data\n",
    "#durs = tuple(round(y[0]-x[0], 2) for (x, y) in pairwise(target_melody_data)) + ((1,))\n",
    "#print(durs)\n",
    "#target_melody_data = tuple((d,) + target_melody_data[i][1:] for i, d in enumerate(durs) if d > 0.1)\n",
    "#list(target_melody_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 524,
   "id": "762c7dd3-7c20-47a5-aa12-c090f243833a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[   0    1    2 ... 2348 2349 2350]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "range(0, 0)"
      ]
     },
     "execution_count": 524,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt # For ploting\n",
    "import numpy as np # to work with numerical data efficiently\n",
    "\n",
    "fs = 2351 # sample rate \n",
    "f = 5 # the frequency of the signal\n",
    "\n",
    "x = np.arange(fs) # the points on the x axis for plotting\n",
    "print(x)\n",
    "# compute the value (amplitude) of the sin wave at the for each sample\n",
    "y = (1 - np.sin(0.5 * np.pi + 2*np.pi*f * ((x)/fs))) * 2 + 0\n",
    "\n",
    "#this instruction can only be used with IPython Notbook. \n",
    "# showing the exact location of the smaples\n",
    "plt.stem(x,y, 'r', )\n",
    "plt.plot(x,y)\n",
    "np.cos(2*np.pi*f * (10/fs)) * 1 + 2\n",
    "range(int((1 - np.sin(2*np.pi*f * (50/fs))) *  + 2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1d9d26d1-caa8-43f3-a4da-803ae55b3502",
   "metadata": {},
   "source": [
    "## cleanup (this is what is being used)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 529,
   "id": "fb2ad9ad-7a8c-4f84-ab0c-9c1f1ecdb8a8",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "58.775\n",
      "0.0 51.0 2 51.0\n",
      "1.05\n",
      "1.05 53.0 2 53.0\n",
      "0.3\n",
      "1.35 51.0 2 51.0\n",
      "1.5\n",
      "2.85 49.0 2 49.0\n",
      "0.425\n",
      "3.275 48.0 2 48.0\n",
      "0.975\n",
      "4.05 53.0 1 53.0\n",
      "0.55\n",
      "4.25 49.0 2 49.0\n",
      "0.725\n",
      "4.6 51.0 1 51.0\n",
      "4.5\n",
      "here\n",
      "8.2 51.0 1 None\n",
      "4.5\n",
      "here\n",
      "8.55 51.0 1 None\n",
      "4.5\n",
      "here\n",
      "8.875 51.0 1 None\n",
      "4.5\n",
      "4.975 51.0 2 51.0\n",
      "0.625\n",
      "5.65 51.0 2 51.0\n",
      "1.1\n",
      "6.8 48.0 2 48.0\n",
      "0.975\n",
      "7.05 53.0 0 53.0\n",
      "1.2\n",
      "7.775 51.0 2 51.0\n",
      "0.65\n",
      "8.25 51.0 0 51.0\n",
      "6.0\n",
      "here\n",
      "13.425 51.0 0 None\n",
      "6.0\n",
      "here\n",
      "13.8 51.0 0 None\n",
      "6.0\n",
      "here\n",
      "14.15 51.0 0 None\n",
      "6.0\n",
      "8.425 53.0 2 53.0\n",
      "0.45\n",
      "8.875 51.0 2 51.0\n",
      "1.6\n",
      "9.1 49.0 1 49.0\n",
      "1.275\n",
      "10.375 48.0 1 48.0\n",
      "1.775\n",
      "10.475 52.0 2 52.0\n",
      "0.4\n",
      "10.875 48.0 2 48.0\n",
      "1.325\n",
      "12.15 49.0 1 49.0\n",
      "0.725\n",
      "12.2 53.0 2 53.0\n",
      "0.6\n",
      "12.875 51.0 1 51.0\n",
      "0.625\n",
      "12.975 49.0 2 49.0\n",
      "1.55\n",
      "13.55 51.0 1 51.0\n",
      "2.35\n",
      "here\n",
      "14.975 51.0 1 None\n",
      "2.35\n",
      "here\n",
      "15.35 51.0 1 None\n",
      "2.35\n",
      "here\n",
      "15.65 51.0 1 None\n",
      "2.35\n",
      "14.25 49.0 0 49.0\n",
      "1.325\n",
      "14.725 52.0 2 52.0\n",
      "0.425\n",
      "15.15 51.0 2 51.0\n",
      "0.575\n",
      "15.575 48.0 0 48.0\n",
      "0.975\n",
      "16.05 48.0 1 48.0\n",
      "2.925\n",
      "here\n",
      "18.475 48.0 1 None\n",
      "2.925\n",
      "here\n",
      "18.75 48.0 1 None\n",
      "2.925\n",
      "16.475 46.0 2 46.0\n",
      "1.325\n",
      "16.55 49.0 0 49.0\n",
      "0.725\n",
      "17.275 51.0 0 51.0\n",
      "1.675\n",
      "17.875 52.0 2 52.0\n",
      "1.125\n",
      "18.975 51.0 1 51.0\n",
      "1.95\n",
      "here\n",
      "20.425 51.0 1 None\n",
      "1.95\n",
      "here\n",
      "20.8 51.0 1 None\n",
      "1.95\n",
      "19.15 51.0 0 51.0\n",
      "4.4\n",
      "here\n",
      "23.05 51.0 0 None\n",
      "4.4\n",
      "here\n",
      "23.4 51.0 0 None\n",
      "4.4\n",
      "19.175 57.0 2 57.0\n",
      "0.55\n",
      "19.725 53.0 2 53.0\n",
      "1.525\n",
      "20.925 53.0 1 53.0\n",
      "0.75\n",
      "21.25 57.0 2 57.0\n",
      "0.35\n",
      "21.675 51.0 1 51.0\n",
      "1.6\n",
      "here\n",
      "22.725 51.0 1 None\n",
      "1.6\n",
      "here\n",
      "23.05 51.0 1 None\n",
      "1.6\n",
      "21.775 51.0 2 51.0\n",
      "2.025\n",
      "23.275 52.0 1 52.0\n",
      "0.4\n",
      "23.675 48.0 1 48.0\n",
      "3.675\n",
      "here\n",
      "26.725 48.0 1 None\n",
      "3.675\n",
      "here\n",
      "27.0 48.0 1 None\n",
      "3.675\n",
      "here\n",
      "27.25 48.0 1 None\n",
      "3.675\n",
      "23.75 48.0 0 48.0\n",
      "2.625\n",
      "here\n",
      "25.525 48.0 0 None\n",
      "2.625\n",
      "here\n",
      "25.9 48.0 0 None\n",
      "2.625\n",
      "here\n",
      "26.2 48.0 0 None\n",
      "2.625\n",
      "23.8 53.0 2 53.0\n",
      "0.55\n",
      "24.35 51.0 2 51.0\n",
      "1.875\n",
      "26.225 49.0 2 49.0\n",
      "0.45\n",
      "26.375 51.0 0 51.0\n",
      "0.65\n",
      "26.675 48.0 2 48.0\n",
      "0.725\n",
      "27.025 53.0 0 53.0\n",
      "0.45\n",
      "27.35 53.0 1 53.0\n",
      "1.8\n",
      "here\n",
      "28.5 53.0 1 None\n",
      "1.8\n",
      "here\n",
      "28.775 53.0 1 None\n",
      "1.8\n",
      "here\n",
      "29.025 53.0 1 None\n",
      "1.8\n",
      "27.4 49.0 2 49.0\n",
      "0.275\n",
      "27.475 51.0 0 51.0\n",
      "4.675\n",
      "here\n",
      "31.55 51.0 0 None\n",
      "4.675\n",
      "here\n",
      "31.925 51.0 0 None\n",
      "4.675\n",
      "27.675 51.0 2 51.0\n",
      "1.3\n",
      "29.125 53.0 2 53.0\n",
      "0.575\n",
      "29.15 51.0 1 51.0\n",
      "0.525\n",
      "29.675 49.0 1 49.0\n",
      "2.55\n",
      "here\n",
      "31.45 49.0 1 None\n",
      "2.55\n",
      "here\n",
      "31.825 49.0 1 None\n",
      "2.55\n",
      "here\n",
      "32.15 49.0 1 None\n",
      "2.55\n",
      "29.7 51.0 2 51.0\n",
      "0.275\n",
      "30.275 56.0 2 56.0\n",
      "0.975\n",
      "31.25 57.0 2 57.0\n",
      "0.25\n",
      "31.5 56.0 2 56.0\n",
      "0.25\n",
      "31.75 53.0 2 53.0\n",
      "0.425\n",
      "32.15 52.0 0 52.0\n",
      "1.6\n",
      "here\n",
      "33.1 52.0 0 None\n",
      "1.6\n",
      "here\n",
      "33.375 52.0 0 None\n",
      "1.6\n",
      "here\n",
      "33.625 52.0 0 None\n",
      "1.6\n",
      "32.175 51.0 2 51.0\n",
      "2.35\n",
      "32.425 52.0 1 52.0\n",
      "0.425\n",
      "32.85 51.0 1 51.0\n",
      "0.575\n",
      "33.525 51.0 1 51.0\n",
      "0.475\n",
      "33.75 48.0 0 48.0\n",
      "3.35\n",
      "here\n",
      "36.425 48.0 0 None\n",
      "3.35\n",
      "here\n",
      "36.725 48.0 0 None\n",
      "3.35\n",
      "here\n",
      "36.975 48.0 0 None\n",
      "3.35\n",
      "34.0 49.0 1 49.0\n",
      "0.6\n",
      "34.525 53.0 2 53.0\n",
      "0.45\n",
      "34.6 48.0 1 48.0\n",
      "0.675\n",
      "34.975 51.0 2 51.0\n",
      "2.0\n",
      "35.275 46.0 1 46.0\n",
      "3.975\n",
      "here\n",
      "38.675 46.0 1 None\n",
      "3.975\n",
      "here\n",
      "39.05 46.0 1 None\n",
      "3.975\n",
      "36.975 48.0 2 48.0\n",
      "0.375\n",
      "37.1 53.0 0 53.0\n",
      "0.6\n",
      "37.35 49.0 2 49.0\n",
      "0.725\n",
      "37.875 49.0 0 49.0\n",
      "4.175\n",
      "here\n",
      "41.125 49.0 0 None\n",
      "4.175\n",
      "here\n",
      "41.425 49.0 0 None\n",
      "4.175\n",
      "here\n",
      "41.775 49.0 0 None\n",
      "4.175\n",
      "38.35 54.0 2 54.0\n",
      "0.525\n",
      "38.875 49.0 2 49.0\n",
      "1.8\n",
      "39.475 52.0 1 52.0\n",
      "2.125\n",
      "here\n",
      "41.1 52.0 1 None\n",
      "2.125\n",
      "here\n",
      "41.375 52.0 1 None\n",
      "2.125\n",
      "40.675 51.0 2 51.0\n",
      "0.9\n",
      "41.575 48.0 2 48.0\n",
      "1.05\n",
      "41.775 57.0 1 57.0\n",
      "0.55\n",
      "42.15 53.0 0 53.0\n",
      "0.7\n",
      "42.325 53.0 1 53.0\n",
      "2.375\n",
      "here\n",
      "44.075 53.0 1 None\n",
      "2.375\n",
      "here\n",
      "44.45 53.0 1 None\n",
      "2.375\n",
      "42.85 52.0 0 52.0\n",
      "1.7\n",
      "here\n",
      "43.9 52.0 0 None\n",
      "1.7\n",
      "here\n",
      "44.25 52.0 0 None\n",
      "1.7\n",
      "here\n",
      "44.525 52.0 0 None\n",
      "1.7\n",
      "42.9 51.0 2 51.0\n",
      "0.45\n",
      "43.35 53.0 2 53.0\n",
      "0.3\n",
      "43.65 52.0 2 52.0\n",
      "0.45\n",
      "44.1 51.0 2 51.0\n",
      "0.7\n",
      "44.55 51.0 0 51.0\n",
      "2.3\n",
      "here\n",
      "46.125 51.0 0 None\n",
      "2.3\n",
      "here\n",
      "46.5 51.0 0 None\n",
      "2.3\n",
      "here\n",
      "46.825 51.0 0 None\n",
      "2.3\n",
      "44.7 57.0 1 57.0\n",
      "1.05\n",
      "45.0 50.0 2 50.0\n",
      "0.9\n",
      "45.825 54.0 1 54.0\n",
      "0.45\n",
      "45.9 52.0 2 52.0\n",
      "0.475\n",
      "46.275 51.0 1 51.0\n",
      "5.025\n",
      "here\n",
      "50.6 51.0 1 None\n",
      "5.025\n",
      "here\n",
      "50.85 51.0 1 None\n",
      "5.025\n",
      "here\n",
      "51.15 51.0 1 None\n",
      "5.025\n",
      "46.375 51.0 2 51.0\n",
      "1.925\n",
      "47.675 46.0 0 46.0\n",
      "1.325\n",
      "48.5 53.0 2 53.0\n",
      "0.425\n",
      "48.925 49.0 2 49.0\n",
      "1.575\n",
      "49.15 52.0 0 52.0\n",
      "4.5\n",
      "here\n",
      "52.75 52.0 0 None\n",
      "4.5\n",
      "here\n",
      "53.05 52.0 0 None\n",
      "4.5\n",
      "here\n",
      "53.425 52.0 0 None\n",
      "4.5\n",
      "50.5 56.0 2 56.0\n",
      "0.75\n",
      "51.25 54.0 2 54.0\n",
      "0.375\n",
      "51.3 53.0 1 53.0\n",
      "0.55\n",
      "51.825 51.0 2 51.0\n",
      "0.325\n",
      "51.85 51.0 1 51.0\n",
      "2.875\n",
      "here\n",
      "54.025 51.0 1 None\n",
      "2.875\n",
      "here\n",
      "54.375 51.0 1 None\n",
      "2.875\n",
      "here\n",
      "54.65 51.0 1 None\n",
      "2.875\n",
      "52.15 53.0 2 53.0\n",
      "0.25\n",
      "52.4 51.0 2 51.0\n",
      "1.9\n",
      "53.65 54.0 0 54.0\n",
      "0.4\n",
      "54.05 56.0 0 56.0\n",
      "0.3\n",
      "54.3 49.0 2 49.0\n",
      "0.575\n",
      "54.35 57.0 0 57.0\n",
      "2.2\n",
      "here\n",
      "56.05 57.0 0 None\n",
      "2.2\n",
      "here\n",
      "56.4 57.0 0 None\n",
      "2.2\n",
      "54.725 49.0 1 49.0\n",
      "1.35\n",
      "here\n",
      "55.475 49.0 1 None\n",
      "1.35\n",
      "here\n",
      "55.75 49.0 1 None\n",
      "1.35\n",
      "here\n",
      "56.0 49.0 1 None\n",
      "1.35\n",
      "54.875 48.0 2 48.0\n",
      "0.325\n",
      "55.375 51.0 2 51.0\n",
      "2.15\n",
      "56.075 48.0 1 48.0\n",
      "2.175\n",
      "here\n",
      "57.75 48.0 1 None\n",
      "2.175\n",
      "here\n",
      "58.05 48.0 1 None\n",
      "2.175\n",
      "56.55 53.0 0 53.0\n",
      "2.2\n",
      "here\n",
      "57.975 53.0 0 None\n",
      "2.2\n",
      "here\n",
      "58.35 53.0 0 None\n",
      "2.2\n",
      "here\n",
      "58.675 53.0 0 None\n",
      "2.2\n",
      "57.675 53.0 2 53.0\n",
      "0.25\n",
      "57.975 51.0 2 51.0\n",
      "0.45\n",
      "58.25 49.0 1 49.0\n",
      "0.525\n",
      "58.425 52.0 2 52.0\n",
      "0.35\n",
      "---\n",
      "(0.0, 51.0, 2, 51.0)\n",
      "(1.05, 51.0, 2, 0.0)\n",
      "---\n",
      "(1.05, 53.0, 2, 53.0)\n",
      "(0.3, 53.0, 2, 200.0)\n",
      "---\n",
      "(1.35, 51.0, 2, 51.0)\n",
      "(1.5, 51.0, 2, -200.0)\n",
      "---\n",
      "(2.85, 49.0, 2, 49.0)\n",
      "(0.425, 49.0, 2, -200.0)\n",
      "---\n",
      "(3.275, 48.0, 2, 48.0)\n",
      "(0.775, 48.0, 2, -100.0)\n",
      "---\n",
      "(4.05, 53.0, 1, 53.0)\n",
      "(0.2, 53.0, 1, 500.0)\n",
      "---\n",
      "(4.25, 49.0, 2, 49.0)\n",
      "(0.35, 49.0, 2, -400.0)\n",
      "---\n",
      "(4.6, 51.0, 1, 51.0)\n",
      "(0.375, 51.0, 1, 200.0)\n",
      "---\n",
      "(4.975, 51.0, 2, 51.0)\n",
      "(0.675, 51.0, 2, 0.0)\n",
      "---\n",
      "(5.65, 51.0, 2, 51.0)\n",
      "(1.15, 51.0, 2, 0.0)\n",
      "---\n",
      "(6.8, 48.0, 2, 48.0)\n",
      "(0.25, 48.0, 2, -300.0)\n",
      "---\n",
      "(7.05, 53.0, 0, 53.0)\n",
      "(0.725, 53.0, 0, 500.0)\n",
      "---\n",
      "(7.775, 51.0, 2, 51.0)\n",
      "(0.425, 51.0, 2, -200.0)\n",
      "---\n",
      "(8.2, 51.0, 1, None)\n",
      "(0.05, 51.0, 1, None)\n",
      "---\n",
      "(8.25, 51.0, 0, 51.0)\n",
      "(0.175, 51.0, 0, 0.0)\n",
      "---\n",
      "(8.425, 53.0, 2, 53.0)\n",
      "(0.125, 53.0, 2, 200.0)\n",
      "---\n",
      "(8.55, 51.0, 1, None)\n",
      "(0.325, 51.0, 1, None)\n",
      "---\n",
      "(8.875, 51.0, 1, None)\n",
      "(0.0, 51.0, 1, None)\n",
      "---\n",
      "(8.875, 51.0, 2, 51.0)\n",
      "(0.225, 51.0, 2, -200.0)\n",
      "---\n",
      "(9.1, 49.0, 1, 49.0)\n",
      "(1.275, 49.0, 1, -200.0)\n",
      "---\n",
      "(10.375, 48.0, 1, 48.0)\n",
      "(0.1, 48.0, 1, -100.0)\n",
      "---\n",
      "(10.475, 52.0, 2, 52.0)\n",
      "(0.4, 52.0, 2, 400.0)\n",
      "---\n",
      "(10.875, 48.0, 2, 48.0)\n",
      "(1.275, 48.0, 2, -400.0)\n",
      "---\n",
      "(12.15, 49.0, 1, 49.0)\n",
      "(0.05, 49.0, 1, 100.0)\n",
      "---\n",
      "(12.2, 53.0, 2, 53.0)\n",
      "(0.675, 53.0, 2, 400.0)\n",
      "---\n",
      "(12.875, 51.0, 1, 51.0)\n",
      "(0.1, 51.0, 1, -200.0)\n",
      "---\n",
      "(12.975, 49.0, 2, 49.0)\n",
      "(0.45, 49.0, 2, -200.0)\n",
      "---\n",
      "(13.425, 51.0, 0, None)\n",
      "(0.125, 51.0, 0, None)\n",
      "---\n",
      "(13.55, 51.0, 1, 51.0)\n",
      "(0.25, 51.0, 1, 200.0)\n",
      "---\n",
      "(13.8, 51.0, 0, None)\n",
      "(0.35, 51.0, 0, None)\n",
      "---\n",
      "(14.15, 51.0, 0, None)\n",
      "(0.1, 51.0, 0, None)\n",
      "---\n",
      "(14.25, 49.0, 0, 49.0)\n",
      "(0.475, 49.0, 0, -200.0)\n",
      "---\n",
      "(14.725, 52.0, 2, 52.0)\n",
      "(0.25, 52.0, 2, 300.0)\n",
      "---\n",
      "(14.975, 51.0, 1, None)\n",
      "(0.175, 51.0, 1, None)\n",
      "---\n",
      "(15.15, 51.0, 2, 51.0)\n",
      "(0.2, 51.0, 2, -100.0)\n",
      "---\n",
      "(15.35, 51.0, 1, None)\n",
      "(0.225, 51.0, 1, None)\n",
      "---\n",
      "(15.575, 48.0, 0, 48.0)\n",
      "(0.075, 48.0, 0, -300.0)\n",
      "---\n",
      "(15.65, 51.0, 1, None)\n",
      "(0.4, 51.0, 1, None)\n",
      "---\n",
      "(16.05, 48.0, 1, 48.0)\n",
      "(0.425, 48.0, 1, 0.0)\n",
      "---\n",
      "(16.475, 46.0, 2, 46.0)\n",
      "(0.075, 46.0, 2, -200.0)\n",
      "---\n",
      "(16.55, 49.0, 0, 49.0)\n",
      "(0.725, 49.0, 0, 300.0)\n",
      "---\n",
      "(17.275, 51.0, 0, 51.0)\n",
      "(0.6, 51.0, 0, 200.0)\n",
      "---\n",
      "(17.875, 52.0, 2, 52.0)\n",
      "(0.6, 52.0, 2, 100.0)\n",
      "---\n",
      "(18.475, 48.0, 1, None)\n",
      "(0.275, 48.0, 1, None)\n",
      "---\n",
      "(18.75, 48.0, 1, None)\n",
      "(0.225, 48.0, 1, None)\n",
      "---\n",
      "(18.975, 51.0, 1, 51.0)\n",
      "(0.175, 51.0, 1, -100.0)\n",
      "---\n",
      "(19.15, 51.0, 0, 51.0)\n",
      "(0.025, 51.0, 0, 0.0)\n",
      "---\n",
      "(19.175, 57.0, 2, 57.0)\n",
      "(0.55, 57.0, 2, 600.0)\n",
      "---\n",
      "(19.725, 53.0, 2, 53.0)\n",
      "(0.7, 53.0, 2, -400.0)\n",
      "---\n",
      "(20.425, 51.0, 1, None)\n",
      "(0.375, 51.0, 1, None)\n",
      "---\n",
      "(20.8, 51.0, 1, None)\n",
      "(0.125, 51.0, 1, None)\n",
      "---\n",
      "(20.925, 53.0, 1, 53.0)\n",
      "(0.325, 53.0, 1, 0.0)\n",
      "---\n",
      "(21.25, 57.0, 2, 57.0)\n",
      "(0.425, 57.0, 2, 400.0)\n",
      "---\n",
      "(21.675, 51.0, 1, 51.0)\n",
      "(0.1, 51.0, 1, -600.0)\n",
      "---\n",
      "(21.775, 51.0, 2, 51.0)\n",
      "(0.95, 51.0, 2, 0.0)\n",
      "---\n",
      "(22.725, 51.0, 1, None)\n",
      "(0.325, 51.0, 1, None)\n",
      "---\n",
      "(23.05, 51.0, 0, None)\n",
      "(0.0, 51.0, 0, None)\n",
      "---\n",
      "(23.05, 51.0, 1, None)\n",
      "(0.225, 51.0, 1, None)\n",
      "---\n",
      "(23.275, 52.0, 1, 52.0)\n",
      "(0.125, 52.0, 1, 100.0)\n",
      "---\n",
      "(23.4, 51.0, 0, None)\n",
      "(0.275, 51.0, 0, None)\n",
      "---\n",
      "(23.675, 48.0, 1, 48.0)\n",
      "(0.075, 48.0, 1, -400.0)\n",
      "---\n",
      "(23.75, 48.0, 0, 48.0)\n",
      "(0.05, 48.0, 0, 0.0)\n",
      "---\n",
      "(23.8, 53.0, 2, 53.0)\n",
      "(0.55, 53.0, 2, 500.0)\n",
      "---\n",
      "(24.35, 51.0, 2, 51.0)\n",
      "(1.175, 51.0, 2, -200.0)\n",
      "---\n",
      "(25.525, 48.0, 0, None)\n",
      "(0.375, 48.0, 0, None)\n",
      "---\n",
      "(25.9, 48.0, 0, None)\n",
      "(0.3, 48.0, 0, None)\n",
      "---\n",
      "(26.2, 48.0, 0, None)\n",
      "(0.025, 48.0, 0, None)\n",
      "---\n",
      "(26.225, 49.0, 2, 49.0)\n",
      "(0.15, 49.0, 2, -200.0)\n",
      "---\n",
      "(26.375, 51.0, 0, 51.0)\n",
      "(0.3, 51.0, 0, 200.0)\n",
      "---\n",
      "(26.675, 48.0, 2, 48.0)\n",
      "(0.05, 48.0, 2, -300.0)\n",
      "---\n",
      "(26.725, 48.0, 1, None)\n",
      "(0.275, 48.0, 1, None)\n",
      "---\n",
      "(27.0, 48.0, 1, None)\n",
      "(0.025, 48.0, 1, None)\n",
      "---\n",
      "(27.025, 53.0, 0, 53.0)\n",
      "(0.225, 53.0, 0, 500.0)\n",
      "---\n",
      "(27.25, 48.0, 1, None)\n",
      "(0.1, 48.0, 1, None)\n",
      "---\n",
      "(27.35, 53.0, 1, 53.0)\n",
      "(0.05, 53.0, 1, 0.0)\n",
      "---\n",
      "(27.4, 49.0, 2, 49.0)\n",
      "(0.075, 49.0, 2, -400.0)\n",
      "---\n",
      "(27.475, 51.0, 0, 51.0)\n",
      "(0.2, 51.0, 0, 200.0)\n",
      "---\n",
      "(27.675, 51.0, 2, 51.0)\n",
      "(0.825, 51.0, 2, 0.0)\n",
      "---\n",
      "(28.5, 53.0, 1, None)\n",
      "(0.275, 53.0, 1, None)\n",
      "---\n",
      "(28.775, 53.0, 1, None)\n",
      "(0.25, 53.0, 1, None)\n",
      "---\n",
      "(29.025, 53.0, 1, None)\n",
      "(0.1, 53.0, 1, None)\n",
      "---\n",
      "(29.125, 53.0, 2, 53.0)\n",
      "(0.025, 53.0, 2, 200.0)\n",
      "---\n",
      "(29.15, 51.0, 1, 51.0)\n",
      "(0.525, 51.0, 1, -200.0)\n",
      "---\n",
      "(29.675, 49.0, 1, 49.0)\n",
      "(0.025, 49.0, 1, -200.0)\n",
      "---\n",
      "(29.7, 51.0, 2, 51.0)\n",
      "(0.575, 51.0, 2, 200.0)\n",
      "---\n",
      "(30.275, 56.0, 2, 56.0)\n",
      "(0.975, 56.0, 2, 500.0)\n",
      "---\n",
      "(31.25, 57.0, 2, 57.0)\n",
      "(0.2, 57.0, 2, 100.0)\n",
      "---\n",
      "(31.45, 49.0, 1, None)\n",
      "(0.05, 49.0, 1, None)\n",
      "---\n",
      "(31.5, 56.0, 2, 56.0)\n",
      "(0.05, 56.0, 2, -100.0)\n",
      "---\n",
      "(31.55, 51.0, 0, None)\n",
      "(0.2, 51.0, 0, None)\n",
      "---\n",
      "(31.75, 53.0, 2, 53.0)\n",
      "(0.075, 53.0, 2, -300.0)\n",
      "---\n",
      "(31.825, 49.0, 1, None)\n",
      "(0.1, 49.0, 1, None)\n",
      "---\n",
      "(31.925, 51.0, 0, None)\n",
      "(0.225, 51.0, 0, None)\n",
      "---\n",
      "(32.15, 49.0, 1, None)\n",
      "(0.0, 49.0, 1, None)\n",
      "---\n",
      "(32.15, 52.0, 0, 52.0)\n",
      "(0.025, 52.0, 0, -100.0)\n",
      "---\n",
      "(32.175, 51.0, 2, 51.0)\n",
      "(0.25, 51.0, 2, -100.0)\n",
      "---\n",
      "(32.425, 52.0, 1, 52.0)\n",
      "(0.425, 52.0, 1, 100.0)\n",
      "---\n",
      "(32.85, 51.0, 1, 51.0)\n",
      "(0.25, 51.0, 1, -100.0)\n",
      "---\n",
      "(33.1, 52.0, 0, None)\n",
      "(0.275, 52.0, 0, None)\n",
      "---\n",
      "(33.375, 52.0, 0, None)\n",
      "(0.15, 52.0, 0, None)\n",
      "---\n",
      "(33.525, 51.0, 1, 51.0)\n",
      "(0.1, 51.0, 1, 0.0)\n",
      "---\n",
      "(33.625, 52.0, 0, None)\n",
      "(0.125, 52.0, 0, None)\n",
      "---\n",
      "(33.75, 48.0, 0, 48.0)\n",
      "(0.25, 48.0, 0, -300.0)\n",
      "---\n",
      "(34.0, 49.0, 1, 49.0)\n",
      "(0.525, 49.0, 1, 100.0)\n",
      "---\n",
      "(34.525, 53.0, 2, 53.0)\n",
      "(0.075, 53.0, 2, 400.0)\n",
      "---\n",
      "(34.6, 48.0, 1, 48.0)\n",
      "(0.375, 48.0, 1, -500.0)\n",
      "---\n",
      "(34.975, 51.0, 2, 51.0)\n",
      "(0.3, 51.0, 2, 300.0)\n",
      "---\n",
      "(35.275, 46.0, 1, 46.0)\n",
      "(1.15, 46.0, 1, -500.0)\n",
      "---\n",
      "(36.425, 48.0, 0, None)\n",
      "(0.3, 48.0, 0, None)\n",
      "---\n",
      "(36.725, 48.0, 0, None)\n",
      "(0.25, 48.0, 0, None)\n",
      "---\n",
      "(36.975, 48.0, 0, None)\n",
      "(0.0, 48.0, 0, None)\n",
      "---\n",
      "(36.975, 48.0, 2, 48.0)\n",
      "(0.125, 48.0, 2, 200.0)\n",
      "---\n",
      "(37.1, 53.0, 0, 53.0)\n",
      "(0.25, 53.0, 0, 500.0)\n",
      "---\n",
      "(37.35, 49.0, 2, 49.0)\n",
      "(0.525, 49.0, 2, -400.0)\n",
      "---\n",
      "(37.875, 49.0, 0, 49.0)\n",
      "(0.475, 49.0, 0, 0.0)\n",
      "---\n",
      "(38.35, 54.0, 2, 54.0)\n",
      "(0.325, 54.0, 2, 500.0)\n",
      "---\n",
      "(38.675, 46.0, 1, None)\n",
      "(0.2, 46.0, 1, None)\n",
      "---\n",
      "(38.875, 49.0, 2, 49.0)\n",
      "(0.175, 49.0, 2, -500.0)\n",
      "---\n",
      "(39.05, 46.0, 1, None)\n",
      "(0.425, 46.0, 1, None)\n",
      "---\n",
      "(39.475, 52.0, 1, 52.0)\n",
      "(1.2, 52.0, 1, 300.0)\n",
      "---\n",
      "(40.675, 51.0, 2, 51.0)\n",
      "(0.425, 51.0, 2, -100.0)\n",
      "---\n",
      "(41.1, 52.0, 1, None)\n",
      "(0.025, 52.0, 1, None)\n",
      "---\n",
      "(41.125, 49.0, 0, None)\n",
      "(0.25, 49.0, 0, None)\n",
      "---\n",
      "(41.375, 52.0, 1, None)\n",
      "(0.05, 52.0, 1, None)\n",
      "---\n",
      "(41.425, 49.0, 0, None)\n",
      "(0.15, 49.0, 0, None)\n",
      "---\n",
      "(41.575, 48.0, 2, 48.0)\n",
      "(0.2, 48.0, 2, -300.0)\n",
      "---\n",
      "(41.775, 49.0, 0, None)\n",
      "(0.0, 49.0, 0, None)\n",
      "---\n",
      "(41.775, 57.0, 1, 57.0)\n",
      "(0.375, 57.0, 1, 900.0)\n",
      "---\n",
      "(42.15, 53.0, 0, 53.0)\n",
      "(0.175, 53.0, 0, -400.0)\n",
      "---\n",
      "(42.325, 53.0, 1, 53.0)\n",
      "(0.525, 53.0, 1, 0.0)\n",
      "---\n",
      "(42.85, 52.0, 0, 52.0)\n",
      "(0.05, 52.0, 0, -100.0)\n",
      "---\n",
      "(42.9, 51.0, 2, 51.0)\n",
      "(0.45, 51.0, 2, -100.0)\n",
      "---\n",
      "(43.35, 53.0, 2, 53.0)\n",
      "(0.3, 53.0, 2, 200.0)\n",
      "---\n",
      "(43.65, 52.0, 2, 52.0)\n",
      "(0.25, 52.0, 2, -100.0)\n",
      "---\n",
      "(43.9, 52.0, 0, None)\n",
      "(0.175, 52.0, 0, None)\n",
      "---\n",
      "(44.075, 53.0, 1, None)\n",
      "(0.025, 53.0, 1, None)\n",
      "---\n",
      "(44.1, 51.0, 2, 51.0)\n",
      "(0.15, 51.0, 2, -100.0)\n",
      "---\n",
      "(44.25, 52.0, 0, None)\n",
      "(0.2, 52.0, 0, None)\n",
      "---\n",
      "(44.45, 53.0, 1, None)\n",
      "(0.075, 53.0, 1, None)\n",
      "---\n",
      "(44.525, 52.0, 0, None)\n",
      "(0.025, 52.0, 0, None)\n",
      "---\n",
      "(44.55, 51.0, 0, 51.0)\n",
      "(0.15, 51.0, 0, 0.0)\n",
      "---\n",
      "(44.7, 57.0, 1, 57.0)\n",
      "(0.3, 57.0, 1, 600.0)\n",
      "---\n",
      "(45.0, 50.0, 2, 50.0)\n",
      "(0.825, 50.0, 2, -700.0)\n",
      "---\n",
      "(45.825, 54.0, 1, 54.0)\n",
      "(0.075, 54.0, 1, 400.0)\n",
      "---\n",
      "(45.9, 52.0, 2, 52.0)\n",
      "(0.225, 52.0, 2, -200.0)\n",
      "---\n",
      "(46.125, 51.0, 0, None)\n",
      "(0.15, 51.0, 0, None)\n",
      "---\n",
      "(46.275, 51.0, 1, 51.0)\n",
      "(0.1, 51.0, 1, -100.0)\n",
      "---\n",
      "(46.375, 51.0, 2, 51.0)\n",
      "(0.125, 51.0, 2, 0.0)\n",
      "---\n",
      "(46.5, 51.0, 0, None)\n",
      "(0.325, 51.0, 0, None)\n",
      "---\n",
      "(46.825, 51.0, 0, None)\n",
      "(0.85, 51.0, 0, None)\n",
      "---\n",
      "(47.675, 46.0, 0, 46.0)\n",
      "(0.825, 46.0, 0, -500.0)\n",
      "---\n",
      "(48.5, 53.0, 2, 53.0)\n",
      "(0.425, 53.0, 2, 700.0)\n",
      "---\n",
      "(48.925, 49.0, 2, 49.0)\n",
      "(0.225, 49.0, 2, -400.0)\n",
      "---\n",
      "(49.15, 52.0, 0, 52.0)\n",
      "(1.35, 52.0, 0, 300.0)\n",
      "---\n",
      "(50.5, 56.0, 2, 56.0)\n",
      "(0.1, 56.0, 2, 400.0)\n",
      "---\n",
      "(50.6, 51.0, 1, None)\n",
      "(0.25, 51.0, 1, None)\n",
      "---\n",
      "(50.85, 51.0, 1, None)\n",
      "(0.3, 51.0, 1, None)\n",
      "---\n",
      "(51.15, 51.0, 1, None)\n",
      "(0.1, 51.0, 1, None)\n",
      "---\n",
      "(51.25, 54.0, 2, 54.0)\n",
      "(0.05, 54.0, 2, -200.0)\n",
      "---\n",
      "(51.3, 53.0, 1, 53.0)\n",
      "(0.525, 53.0, 1, -100.0)\n",
      "---\n",
      "(51.825, 51.0, 2, 51.0)\n",
      "(0.025, 51.0, 2, -200.0)\n",
      "---\n",
      "(51.85, 51.0, 1, 51.0)\n",
      "(0.3, 51.0, 1, 0.0)\n",
      "---\n",
      "(52.15, 53.0, 2, 53.0)\n",
      "(0.25, 53.0, 2, 200.0)\n",
      "---\n",
      "(52.4, 51.0, 2, 51.0)\n",
      "(0.35, 51.0, 2, -200.0)\n",
      "---\n",
      "(52.75, 52.0, 0, None)\n",
      "(0.3, 52.0, 0, None)\n",
      "---\n",
      "(53.05, 52.0, 0, None)\n",
      "(0.375, 52.0, 0, None)\n",
      "---\n",
      "(53.425, 52.0, 0, None)\n",
      "(0.225, 52.0, 0, None)\n",
      "---\n",
      "(53.65, 54.0, 0, 54.0)\n",
      "(0.375, 54.0, 0, 300.0)\n",
      "---\n",
      "(54.025, 51.0, 1, None)\n",
      "(0.025, 51.0, 1, None)\n",
      "---\n",
      "(54.05, 56.0, 0, 56.0)\n",
      "(0.25, 56.0, 0, 200.0)\n",
      "---\n",
      "(54.3, 49.0, 2, 49.0)\n",
      "(0.05, 49.0, 2, -700.0)\n",
      "---\n",
      "(54.35, 57.0, 0, 57.0)\n",
      "(0.025, 57.0, 0, 800.0)\n",
      "---\n",
      "(54.375, 51.0, 1, None)\n",
      "(0.275, 51.0, 1, None)\n",
      "---\n",
      "(54.65, 51.0, 1, None)\n",
      "(0.075, 51.0, 1, None)\n",
      "---\n",
      "(54.725, 49.0, 1, 49.0)\n",
      "(0.15, 49.0, 1, -800.0)\n",
      "---\n",
      "(54.875, 48.0, 2, 48.0)\n",
      "(0.5, 48.0, 2, -100.0)\n",
      "---\n",
      "(55.375, 51.0, 2, 51.0)\n",
      "(0.1, 51.0, 2, 300.0)\n",
      "---\n",
      "(55.475, 49.0, 1, None)\n",
      "(0.275, 49.0, 1, None)\n",
      "---\n",
      "(55.75, 49.0, 1, None)\n",
      "(0.25, 49.0, 1, None)\n",
      "---\n",
      "(56.0, 49.0, 1, None)\n",
      "(0.05, 49.0, 1, None)\n",
      "---\n",
      "(56.05, 57.0, 0, None)\n",
      "(0.025, 57.0, 0, None)\n",
      "---\n",
      "(56.075, 48.0, 1, 48.0)\n",
      "(0.325, 48.0, 1, -300.0)\n",
      "---\n",
      "(56.4, 57.0, 0, None)\n",
      "(0.15, 57.0, 0, None)\n",
      "---\n",
      "(56.55, 53.0, 0, 53.0)\n",
      "(1.125, 53.0, 0, 500.0)\n",
      "---\n",
      "(57.675, 53.0, 2, 53.0)\n",
      "(0.075, 53.0, 2, 0.0)\n",
      "---\n",
      "(57.75, 48.0, 1, None)\n",
      "(0.225, 48.0, 1, None)\n",
      "---\n",
      "(57.975, 51.0, 2, 51.0)\n",
      "(0.0, 51.0, 2, -200.0)\n",
      "---\n",
      "(57.975, 53.0, 0, None)\n",
      "(0.075, 53.0, 0, None)\n",
      "---\n",
      "(58.05, 48.0, 1, None)\n",
      "(0.2, 48.0, 1, None)\n",
      "---\n",
      "(58.25, 49.0, 1, 49.0)\n",
      "(0.1, 49.0, 1, -200.0)\n",
      "---\n",
      "(58.35, 53.0, 0, None)\n",
      "(0.075, 53.0, 0, None)\n",
      "---\n",
      "(58.425, 52.0, 2, 52.0)\n",
      "(0.25, 52.0, 2, 300.0)\n",
      "---\n",
      "(58.675, 53.0, 0, None)\n",
      "(1, 53.0, 0, None)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[(1.05, 51.0, 2, 0.0),\n",
       " (0.3, 53.0, 2, 200.0),\n",
       " (1.5, 51.0, 2, -200.0),\n",
       " (0.425, 49.0, 2, -200.0),\n",
       " (0.775, 48.0, 2, -100.0),\n",
       " (0.2, 53.0, 1, 500.0),\n",
       " (0.35, 49.0, 2, -400.0),\n",
       " (0.375, 51.0, 1, 200.0),\n",
       " (0.675, 51.0, 2, 0.0),\n",
       " (1.15, 51.0, 2, 0.0),\n",
       " (0.25, 48.0, 2, -300.0),\n",
       " (0.725, 53.0, 0, 500.0),\n",
       " (0.425, 51.0, 2, -200.0),\n",
       " (0.05, 51.0, 1, None),\n",
       " (0.175, 51.0, 0, 0.0),\n",
       " (0.125, 53.0, 2, 200.0),\n",
       " (0.325, 51.0, 1, None),\n",
       " (0.0, 51.0, 1, None),\n",
       " (0.225, 51.0, 2, -200.0),\n",
       " (1.275, 49.0, 1, -200.0),\n",
       " (0.1, 48.0, 1, -100.0),\n",
       " (0.4, 52.0, 2, 400.0),\n",
       " (1.275, 48.0, 2, -400.0),\n",
       " (0.05, 49.0, 1, 100.0),\n",
       " (0.675, 53.0, 2, 400.0),\n",
       " (0.1, 51.0, 1, -200.0),\n",
       " (0.45, 49.0, 2, -200.0),\n",
       " (0.125, 51.0, 0, None),\n",
       " (0.25, 51.0, 1, 200.0),\n",
       " (0.35, 51.0, 0, None),\n",
       " (0.1, 51.0, 0, None),\n",
       " (0.475, 49.0, 0, -200.0),\n",
       " (0.25, 52.0, 2, 300.0),\n",
       " (0.175, 51.0, 1, None),\n",
       " (0.2, 51.0, 2, -100.0),\n",
       " (0.225, 51.0, 1, None),\n",
       " (0.075, 48.0, 0, -300.0),\n",
       " (0.4, 51.0, 1, None),\n",
       " (0.425, 48.0, 1, 0.0),\n",
       " (0.075, 46.0, 2, -200.0),\n",
       " (0.725, 49.0, 0, 300.0),\n",
       " (0.6, 51.0, 0, 200.0),\n",
       " (0.6, 52.0, 2, 100.0),\n",
       " (0.275, 48.0, 1, None),\n",
       " (0.225, 48.0, 1, None),\n",
       " (0.175, 51.0, 1, -100.0),\n",
       " (0.025, 51.0, 0, 0.0),\n",
       " (0.55, 57.0, 2, 600.0),\n",
       " (0.7, 53.0, 2, -400.0),\n",
       " (0.375, 51.0, 1, None),\n",
       " (0.125, 51.0, 1, None),\n",
       " (0.325, 53.0, 1, 0.0),\n",
       " (0.425, 57.0, 2, 400.0),\n",
       " (0.1, 51.0, 1, -600.0),\n",
       " (0.95, 51.0, 2, 0.0),\n",
       " (0.325, 51.0, 1, None),\n",
       " (0.0, 51.0, 0, None),\n",
       " (0.225, 51.0, 1, None),\n",
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       " (0.275, 51.0, 0, None),\n",
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       " (0.275, 48.0, 1, None),\n",
       " (0.025, 48.0, 1, None),\n",
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       " (0.1, 48.0, 1, None),\n",
       " (0.05, 53.0, 1, 0.0),\n",
       " (0.075, 49.0, 2, -400.0),\n",
       " (0.2, 51.0, 0, 200.0),\n",
       " (0.825, 51.0, 2, 0.0),\n",
       " (0.275, 53.0, 1, None),\n",
       " (0.25, 53.0, 1, None),\n",
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       " (0.525, 51.0, 1, -200.0),\n",
       " (0.025, 49.0, 1, -200.0),\n",
       " (0.575, 51.0, 2, 200.0),\n",
       " (0.975, 56.0, 2, 500.0),\n",
       " (0.2, 57.0, 2, 100.0),\n",
       " (0.05, 49.0, 1, None),\n",
       " (0.05, 56.0, 2, -100.0),\n",
       " (0.2, 51.0, 0, None),\n",
       " (0.075, 53.0, 2, -300.0),\n",
       " (0.1, 49.0, 1, None),\n",
       " (0.225, 51.0, 0, None),\n",
       " (0.0, 49.0, 1, None),\n",
       " (0.025, 52.0, 0, -100.0),\n",
       " (0.25, 51.0, 2, -100.0),\n",
       " (0.425, 52.0, 1, 100.0),\n",
       " (0.25, 51.0, 1, -100.0),\n",
       " (0.275, 52.0, 0, None),\n",
       " (0.15, 52.0, 0, None),\n",
       " (0.1, 51.0, 1, 0.0),\n",
       " (0.125, 52.0, 0, None),\n",
       " (0.25, 48.0, 0, -300.0),\n",
       " (0.525, 49.0, 1, 100.0),\n",
       " (0.075, 53.0, 2, 400.0),\n",
       " (0.375, 48.0, 1, -500.0),\n",
       " (0.3, 51.0, 2, 300.0),\n",
       " (1.15, 46.0, 1, -500.0),\n",
       " (0.3, 48.0, 0, None),\n",
       " (0.25, 48.0, 0, None),\n",
       " (0.0, 48.0, 0, None),\n",
       " (0.125, 48.0, 2, 200.0),\n",
       " (0.25, 53.0, 0, 500.0),\n",
       " (0.525, 49.0, 2, -400.0),\n",
       " (0.475, 49.0, 0, 0.0),\n",
       " (0.325, 54.0, 2, 500.0),\n",
       " (0.2, 46.0, 1, None),\n",
       " (0.175, 49.0, 2, -500.0),\n",
       " (0.425, 46.0, 1, None),\n",
       " (1.2, 52.0, 1, 300.0),\n",
       " (0.425, 51.0, 2, -100.0),\n",
       " (0.025, 52.0, 1, None),\n",
       " (0.25, 49.0, 0, None),\n",
       " (0.05, 52.0, 1, None),\n",
       " (0.15, 49.0, 0, None),\n",
       " (0.2, 48.0, 2, -300.0),\n",
       " (0.0, 49.0, 0, None),\n",
       " (0.375, 57.0, 1, 900.0),\n",
       " (0.175, 53.0, 0, -400.0),\n",
       " (0.525, 53.0, 1, 0.0),\n",
       " (0.05, 52.0, 0, -100.0),\n",
       " (0.45, 51.0, 2, -100.0),\n",
       " (0.3, 53.0, 2, 200.0),\n",
       " (0.25, 52.0, 2, -100.0),\n",
       " (0.175, 52.0, 0, None),\n",
       " (0.025, 53.0, 1, None),\n",
       " (0.15, 51.0, 2, -100.0),\n",
       " (0.2, 52.0, 0, None),\n",
       " (0.075, 53.0, 1, None),\n",
       " (0.025, 52.0, 0, None),\n",
       " (0.15, 51.0, 0, 0.0),\n",
       " (0.3, 57.0, 1, 600.0),\n",
       " (0.825, 50.0, 2, -700.0),\n",
       " (0.075, 54.0, 1, 400.0),\n",
       " (0.225, 52.0, 2, -200.0),\n",
       " (0.15, 51.0, 0, None),\n",
       " (0.1, 51.0, 1, -100.0),\n",
       " (0.125, 51.0, 2, 0.0),\n",
       " (0.325, 51.0, 0, None),\n",
       " (0.85, 51.0, 0, None),\n",
       " (0.825, 46.0, 0, -500.0),\n",
       " (0.425, 53.0, 2, 700.0),\n",
       " (0.225, 49.0, 2, -400.0),\n",
       " (1.35, 52.0, 0, 300.0),\n",
       " (0.1, 56.0, 2, 400.0),\n",
       " (0.25, 51.0, 1, None),\n",
       " (0.3, 51.0, 1, None),\n",
       " (0.1, 51.0, 1, None),\n",
       " (0.05, 54.0, 2, -200.0),\n",
       " (0.525, 53.0, 1, -100.0),\n",
       " (0.025, 51.0, 2, -200.0),\n",
       " (0.3, 51.0, 1, 0.0),\n",
       " (0.25, 53.0, 2, 200.0),\n",
       " (0.35, 51.0, 2, -200.0),\n",
       " (0.3, 52.0, 0, None),\n",
       " (0.375, 52.0, 0, None),\n",
       " (0.225, 52.0, 0, None),\n",
       " (0.375, 54.0, 0, 300.0),\n",
       " (0.025, 51.0, 1, None),\n",
       " (0.25, 56.0, 0, 200.0),\n",
       " (0.05, 49.0, 2, -700.0),\n",
       " (0.025, 57.0, 0, 800.0),\n",
       " (0.275, 51.0, 1, None),\n",
       " (0.075, 51.0, 1, None),\n",
       " (0.15, 49.0, 1, -800.0),\n",
       " (0.5, 48.0, 2, -100.0),\n",
       " (0.1, 51.0, 2, 300.0),\n",
       " (0.275, 49.0, 1, None),\n",
       " (0.25, 49.0, 1, None),\n",
       " (0.05, 49.0, 1, None),\n",
       " (0.025, 57.0, 0, None),\n",
       " (0.325, 48.0, 1, -300.0),\n",
       " (0.15, 57.0, 0, None),\n",
       " (1.125, 53.0, 0, 500.0),\n",
       " (0.075, 53.0, 2, 0.0),\n",
       " (0.225, 48.0, 1, None),\n",
       " (0.0, 51.0, 2, -200.0),\n",
       " (0.075, 53.0, 0, None),\n",
       " (0.2, 48.0, 1, None),\n",
       " (0.1, 49.0, 1, -200.0),\n",
       " (0.075, 53.0, 0, None),\n",
       " (0.25, 52.0, 2, 300.0),\n",
       " (1, 53.0, 0, None)]"
      ]
     },
     "execution_count": 529,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import librosa \n",
    "import numpy as np\n",
    "from scipy.signal import savgol_filter\n",
    "import matplotlib.pyplot as plt\n",
    "from random import randint\n",
    "\n",
    "            \n",
    "t_min = 50\n",
    "t_max = 600\n",
    "f_time, f_frequency, f_confidence = [time[t_min:], frequency[t_min:], confidence[t_min:]]\n",
    "s_confidence = savgol_filter(f_confidence, 30, 4)\n",
    "\n",
    "def freqs_to_midi(freqs, confs):\n",
    "    last_confident_value = 51\n",
    "    for f, c in zip(freqs, confs):\n",
    "        if c > 0.9:\n",
    "            last_confident_value = librosa.hz_to_midi(f)\n",
    "        yield last_confident_value\n",
    "\n",
    "def snap_midi(midi):\n",
    "    r_midi = np.around(midi)\n",
    "    s_midi = np.around(savgol_filter(midi, 30, 5))\n",
    "    last_val = s_midi[0]\n",
    "    for i, (r1, r2) in enumerate(pairwise(r_midi)):\n",
    "        if r1 != r2:\n",
    "            last_val = s_midi[i+5]\n",
    "        yield last_val\n",
    "    yield last_val\n",
    "\n",
    "def filter_midi(midi):\n",
    "\n",
    "    def integrate(midi):\n",
    "        print(len(midi) / 40)\n",
    "        for imx, m in enumerate(midi):\n",
    "            if m != midi[imx - 1] or imx == 0:\n",
    "                if imx == 0:\n",
    "                    ins = 2\n",
    "                    val = m[2]\n",
    "                    last_val = val\n",
    "                else:\n",
    "                    ins = [pmx for pmx, p in enumerate(m) if p != midi[imx - 1][pmx]][0]\n",
    "                    val = m[ins]\n",
    "\n",
    "                note_dur = 0\n",
    "                #print(ins)\n",
    "                #print(val)\n",
    "                while imx + note_dur < len(midi) and midi[imx + note_dur][ins] == val:\n",
    "                    note_dur += 1\n",
    "\n",
    "                if note_dur >= 10:\n",
    "                    if False:\n",
    "                        yield (imx / 40.0, val, ins, None)\n",
    "                    else:\n",
    "                        dev = val - last_val\n",
    "        \n",
    "                        print (imx / 40.0, val, ins, val)\n",
    "                        print(note_dur / 40.0)\n",
    "                        yield (imx / 40.0, val, ins, val)\n",
    "        \n",
    "                        tail = randint(20, 40)\n",
    "                        if note_dur / 2 > tail and ins != 2:\n",
    "                        #if False:\n",
    "                            t_sum = 0\n",
    "                            while t_sum < tail:\n",
    "                                print(\"here\")\n",
    "                                print ((imx + note_dur - tail + t_sum) / 40, val, ins, None)\n",
    "                                print(note_dur / 40.0)\n",
    "                                if True:\n",
    "                                    yield ((imx + note_dur - tail + t_sum) / 40, val, ins, None)\n",
    "                                t_sum += randint(10, 15)\n",
    "                        \n",
    "                        last_val = val\n",
    "\n",
    "    def redifferentiate(sorted_midi):\n",
    "        for imx, sm in enumerate(sorted_midi):\n",
    "            print(\"---\")\n",
    "            print(sm)\n",
    "            if imx < len(sorted_midi) - 1:\n",
    "                dur = round(sorted_midi[imx + 1][0] - sm[0], 3)\n",
    "            else:\n",
    "                dur = 1\n",
    "            [val, ins] = sm[1:-1]\n",
    "            dev = 0\n",
    "            if imx == 0:\n",
    "                dev = 0.0\n",
    "                last_val = val\n",
    "            elif sm[-1] == None:\n",
    "                dev = None\n",
    "            else:\n",
    "                dev = (sm[-1] - last_val) * 100.0\n",
    "                last_val = val\n",
    "            print((dur, val, ins, dev))\n",
    "            yield (dur, val, ins, dev)\n",
    "                \n",
    "    sorted_midi = sorted(integrate(midi))\n",
    "    #for sm in sorted_midi:\n",
    "    #    print(sm)\n",
    "    redifferentiated_midi = redifferentiate(sorted_midi)\n",
    "    return redifferentiated_midi\n",
    "    \n",
    "midi = list(freqs_to_midi(f_frequency, f_confidence))\n",
    "midi = tuple(snap_midi(midi))\n",
    "\n",
    "fs = 2351 # sample rate \n",
    "f = 20 # the frequency of the signal\n",
    "\n",
    "#midi = zip(\n",
    "#    tuple(midi[0] - 24 for i in range(4 * 40)) + tuple(chain(*tuple([m - 24 for r in range(int(1 - np.sin(2*np.pi*10 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi)))),\n",
    "#    tuple(midi[0] - 12 for i in range(2 * 40)) + tuple(chain(*tuple([m - 12 for r in range(int(1 - np.sin(2*np.pi*10 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi)))),\n",
    "#    tuple(chain(*tuple([m for r in range(int(1 - np.cos(0.5 * np.pi + 2*np.pi*10 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi))))\n",
    "#)\n",
    "\n",
    "midi = zip(\n",
    "    tuple(midi[0] - 0 for i in range(6 * 40)) + tuple(chain(*tuple([m - 0 for r in range(int(1 - np.sin(0.5 * np.pi + 2*np.pi*14 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi)))),\n",
    "    tuple(midi[0] - 0 for i in range(3 * 40)) + tuple(chain(*tuple([m - 0 for r in range(int(1 - np.sin(0.5 * np.pi + 2*np.pi*12 * (imx/fs))) * 2 + 1)] for imx, m in enumerate(midi)))),\n",
    "    tuple(chain(*tuple([m for r in range(int(1 - np.cos(0.5 * np.pi + 2*np.pi*10 * (imx/fs))) * 0 + 1)] for imx, m in enumerate(midi))))\n",
    ")\n",
    "\n",
    "target_melody_data = list(filter_midi(list(midi)))\n",
    "target_melody_data\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 530,
   "id": "c1e314cf-c928-4df5-b0da-8a7b13b2225f",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "2\n",
      "200.0\n",
      "here\n",
      "[-701.9550008653874, -203.91000173077484, 0]\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "[-901.9550008653874, -403.91000173077487, -17.596287865940013]\n",
      "[0.0, -498.04499913461257, 203.91000173077484]\n",
      "[0.0, -498.04499913461257, 386.3137138648348]\n",
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      "here\n",
      "[-901.9550008653874, -403.91000173077487, -17.596287865940013]\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-701.9550008653874, -203.91000173077487, 0.0]\n",
      "[0.0, -498.04499913461257, 386.3137138648348]\n",
      "[0.0, -498.04499913461257, 203.91000173077484]\n",
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      "[0.0, -498.04499913461257, 203.91000173077484]\n",
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      "-100.0\n",
      "here\n",
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      "((0, 0, 0, 0), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-4, 1, 1, 0))\n",
      "[-401.95500086538743, 96.08999826922513, -15.641287000552609]\n",
      "[0.0, -498.04499913461257, 0.0]\n",
      "[0.0, -498.04499913461257, -111.73128526977777]\n",
      "1\n",
      "500.0\n",
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      "[-401.95500086538743, 96.08999826922513, -15.641287000552609]\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-4, 1, 1, 0))\n",
      "((0, 0, 0, 0), (1, 1, 0, -1), (-4, 1, 1, 0))\n",
      "[-901.9550008653874, -172.73590819989994, -515.6412870005527]\n",
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      "[0.0, -266.87090560373764, -111.73128526977777]\n",
      "2\n",
      "-400.0\n",
      "here\n",
      "[-901.9550008653874, -172.73590819989994, -515.6412870005527]\n",
      "((0, 0, 0, 0), (1, 1, 0, -1), (-4, 1, 1, 0))\n",
      "((0, 0, 0, 0), (1, 1, 0, -1), (0, 0, 0, 0))\n",
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      "[-701.9550008653874, -92.17871646099707, -2.842170943040401e-14]\n",
      "[0.0, -386.31371386483477, 0.0]\n",
      "[0.0, -386.31371386483477, 203.91000173077484]\n",
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      "((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0))\n",
      "((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1))\n",
      "[-701.9550008653874, -92.17871646099707, 27.26409180010012]\n",
      "[0.0, -386.31371386483477, 203.91000173077484]\n",
      "[0.0, -386.31371386483477, 231.17409353087498]\n",
      "2\n",
      "-300.0\n",
      "here\n",
      "(((0, 0, 0, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (1, 1, 0, -1), (-4, 1, 1, 0)), ((0, 0, 0, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)))\n",
      "[-701.9550008653874, -92.17871646099707, 27.26409180010012]\n",
      "((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1))\n",
      "((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "[-401.95500086538743, 207.82128353900293, -15.641287000552666]\n",
      "[0.0, -386.31371386483477, 231.17409353087498]\n",
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      "0\n",
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      "[-401.95500086538743, 207.82128353900293, -15.641287000552666]\n",
      "((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "[-698.0449991346126, -292.17871646099707, -515.6412870005527]\n",
      "[0.0, -386.31371386483477, -111.73128526977777]\n",
      "[203.91000173077484, -386.31371386483477, -111.73128526977777]\n",
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      "-200.0\n",
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      "(((0, 0, 0, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (1, 1, 0, -1), (-4, 1, 1, 0)), ((0, 0, 0, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)))\n",
      "[-698.0449991346126, -292.17871646099707, -515.6412870005527]\n",
      "((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0))\n",
      "[-498.04499913461257, -92.17871646099707, -5.684341886080802e-14]\n",
      "[203.91000173077484, -386.31371386483477, -111.73128526977777]\n",
      "[203.91000173077484, -386.31371386483477, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((0, 0, 0, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (1, 1, 0, -1), (-4, 1, 1, 0)), ((0, 0, 0, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-498.04499913461257, -92.17871646099707, -5.684341886080802e-14]\n",
      "((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0))\n",
      "((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-498.04499913461257, 62.960903872962604, -5.684341886080802e-14]\n",
      "[203.91000173077484, -386.31371386483477, 203.91000173077484]\n",
      "[203.91000173077484, -231.1740935308751, 203.91000173077484]\n",
      "0\n",
      "0.0\n",
      "here\n",
      "(((0, 0, 0, 0), (1, 1, 0, -1), (-4, 1, 1, 0)), ((0, 0, 0, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-498.04499913461257, 62.960903872962604, -5.684341886080802e-14]\n",
      "((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-386.31371386483454, 62.960903872962604, -5.684341886080802e-14]\n",
      "[203.91000173077484, -231.1740935308751, 203.91000173077484]\n",
      "[315.6412870005529, -231.1740935308751, 203.91000173077484]\n",
      "2\n",
      "200.0\n",
      "here\n",
      "(((0, 0, 0, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)))\n",
      "[-386.31371386483454, 62.960903872962604, -5.684341886080802e-14]\n",
      "((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0))\n",
      "[-586.3137138648345, -137.0390961270374, -17.59628786594007]\n",
      "[315.6412870005529, -231.1740935308751, 203.91000173077484]\n",
      "[315.6412870005529, -231.1740935308751, 386.3137138648348]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((0, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)))\n",
      "[-586.3137138648345, -137.0390961270374, -17.59628786594007]\n",
      "((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0))\n",
      "((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0))\n",
      "[-586.3137138648345, 94.1349974038377, -17.59628786594007]\n",
      "[315.6412870005529, -231.1740935308751, 386.3137138648348]\n",
      "[315.6412870005529, 0.0, 386.3137138648348]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)))\n",
      "[-586.3137138648345, 94.1349974038377, -17.59628786594007]\n",
      "((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0))\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0))\n",
      "[-586.3137138648345, 298.04499913461257, -17.59628786594007]\n",
      "[315.6412870005529, 0.0, 386.3137138648348]\n",
      "[315.6412870005529, 203.91000173077484, 386.3137138648348]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-586.3137138648345, 298.04499913461257, -17.59628786594007]\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0))\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-386.31371386483454, 498.04499913461257, -5.684341886080802e-14]\n",
      "[315.6412870005529, 203.91000173077484, 386.3137138648348]\n",
      "[315.6412870005529, 203.91000173077484, 203.91000173077484]\n",
      "1\n",
      "-200.0\n",
      "here\n",
      "(((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)))\n",
      "[-386.31371386483454, 498.04499913461257, -5.684341886080802e-14]\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0))\n",
      "[-186.31371386483454, 809.7762844043906, 199.99999999999994]\n",
      "[315.6412870005529, 203.91000173077484, 203.91000173077484]\n",
      "[315.6412870005529, 315.6412870005529, 203.91000173077484]\n",
      "1\n",
      "-100.0\n",
      "here\n",
      "(((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-186.31371386483454, 809.7762844043906, 199.99999999999994]\n",
      "((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0))\n",
      "((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-86.31371386483454, 96.08999826922513, 299.99999999999994]\n",
      "[315.6412870005529, 315.6412870005529, 203.91000173077484]\n",
      "[315.6412870005529, -498.04499913461257, 203.91000173077484]\n",
      "2\n",
      "400.0\n",
      "here\n",
      "(((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)))\n",
      "[-86.31371386483454, 96.08999826922513, 299.99999999999994]\n",
      "((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0))\n",
      "[-486.31371386483454, -303.91000173077487, 11.731285269778027]\n",
      "[315.6412870005529, -498.04499913461257, 203.91000173077484]\n",
      "[315.6412870005529, -498.04499913461257, 315.6412870005529]\n",
      "2\n",
      "-400.0\n",
      "here\n",
      "(((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)))\n",
      "[-486.31371386483454, -303.91000173077487, 11.731285269778027]\n",
      "((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0))\n",
      "((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0))\n",
      "[-86.31371386483454, 96.08999826922513, -15.641287000552666]\n",
      "[315.6412870005529, -498.04499913461257, 315.6412870005529]\n",
      "[315.6412870005529, -498.04499913461257, -111.73128526977777]\n",
      "1\n",
      "100.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)))\n",
      "[-86.31371386483454, 96.08999826922513, -15.641287000552666]\n",
      "((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0))\n",
      "((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "[-186.31371386483454, 107.82128353900293, -115.64128700055267]\n",
      "[315.6412870005529, -498.04499913461257, -111.73128526977777]\n",
      "[315.6412870005529, -386.31371386483477, -111.73128526977777]\n",
      "2\n",
      "400.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)))\n",
      "[-186.31371386483454, 107.82128353900293, -115.64128700055267]\n",
      "((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0))\n",
      "[-586.3137138648345, -292.17871646099707, -17.5962878659401]\n",
      "[315.6412870005529, -386.31371386483477, -111.73128526977777]\n",
      "[315.6412870005529, -386.31371386483477, 386.3137138648348]\n",
      "1\n",
      "-200.0\n",
      "here\n",
      "(((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)))\n",
      "[-586.3137138648345, -292.17871646099707, -17.5962878659401]\n",
      "((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0))\n",
      "((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0))\n",
      "[-386.31371386483454, 27.26409180010006, 182.4037121340599]\n",
      "[315.6412870005529, -386.31371386483477, 386.3137138648348]\n",
      "[315.6412870005529, -266.87090560373764, 386.3137138648348]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)))\n",
      "[-386.31371386483454, 27.26409180010006, 182.4037121340599]\n",
      "((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0))\n",
      "((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0))\n",
      "[-186.31371386483454, 227.26409180010006, -3.9100017307749226]\n",
      "[315.6412870005529, -266.87090560373764, 386.3137138648348]\n",
      "[315.6412870005529, -266.87090560373764, 0.0]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)))\n",
      "[-186.31371386483454, 227.26409180010006, -3.9100017307749226]\n",
      "((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0))\n",
      "((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0))\n",
      "[-31.17409353087504, 227.26409180010006, -3.9100017307749226]\n",
      "[315.6412870005529, -266.87090560373764, 0.0]\n",
      "[470.7809073345124, -266.87090560373764, 0.0]\n",
      "1\n",
      "200.0\n",
      "here\n",
      "(((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)))\n",
      "[-31.17409353087504, 227.26409180010006, -3.9100017307749226]\n",
      "((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0))\n",
      "((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0))\n",
      "[-231.17409353087504, 182.4037121340599, -203.91000173077492]\n",
      "[470.7809073345124, -266.87090560373764, 0.0]\n",
      "[470.7809073345124, -111.73128526977777, 0.0]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)))\n",
      "[-231.17409353087504, 182.4037121340599, -203.91000173077492]\n",
      "((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0))\n",
      "((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0))\n",
      "[-315.6412870005526, 182.4037121340599, -203.91000173077492]\n",
      "[470.7809073345124, -111.73128526977777, 0.0]\n",
      "[386.3137138648348, -111.73128526977777, 0.0]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)))\n",
      "[-315.6412870005526, 182.4037121340599, -203.91000173077492]\n",
      "((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0))\n",
      "((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0))\n",
      "[-203.91000173077498, 182.4037121340599, -203.91000173077492]\n",
      "[386.3137138648348, -111.73128526977777, 0.0]\n",
      "[498.04499913461245, -111.73128526977777, 0.0]\n",
      "0\n",
      "-200.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)))\n",
      "[-203.91000173077498, 182.4037121340599, -203.91000173077492]\n",
      "((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0))\n",
      "((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0))\n",
      "[200.0, 382.4037121340599, -3.9100017307749226]\n",
      "[498.04499913461245, -111.73128526977777, 0.0]\n",
      "[701.9550008653874, -111.73128526977777, 0.0]\n",
      "2\n",
      "300.0\n",
      "here\n",
      "(((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)))\n",
      "[200.0, 382.4037121340599, -3.9100017307749226]\n",
      "((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0))\n",
      "((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0))\n",
      "[-100.0, 82.4037121340599, 11.73128526977797]\n",
      "[701.9550008653874, -111.73128526977777, 0.0]\n",
      "[701.9550008653874, -111.73128526977777, 315.6412870005529]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)))\n",
      "[-100.0, 82.4037121340599, 11.73128526977797]\n",
      "((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0))\n",
      "[-100.0, 194.13499740383767, 11.73128526977797]\n",
      "[701.9550008653874, -111.73128526977777, 315.6412870005529]\n",
      "[701.9550008653874, 0.0, 315.6412870005529]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "(((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-100.0, 194.13499740383767, 11.73128526977797]\n",
      "((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[0.0, 294.1349974038377, -8.526512829121202e-14]\n",
      "[701.9550008653874, 0.0, 315.6412870005529]\n",
      "[701.9550008653874, 0.0, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[0.0, 294.1349974038377, -8.526512829121202e-14]\n",
      "((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[0.0, 498.04499913461257, -8.526512829121202e-14]\n",
      "[701.9550008653874, 0.0, 203.91000173077484]\n",
      "[701.9550008653874, 203.91000173077484, 203.91000173077484]\n",
      "0\n",
      "-300.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[0.0, 498.04499913461257, -8.526512829121202e-14]\n",
      "((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[411.7312852697779, 798.0449991346126, 299.9999999999999]\n",
      "[701.9550008653874, 203.91000173077484, 203.91000173077484]\n",
      "[813.6862861351653, 203.91000173077484, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)))\n",
      "[411.7312852697779, 798.0449991346126, 299.9999999999999]\n",
      "((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0))\n",
      "[411.7312852697779, 909.7762844043906, 299.9999999999999]\n",
      "[813.6862861351653, 203.91000173077484, 203.91000173077484]\n",
      "[813.6862861351653, 315.6412870005529, 203.91000173077484]\n",
      "1\n",
      "0.0\n",
      "here\n",
      "(((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)))\n",
      "[411.7312852697779, 909.7762844043906, 299.9999999999999]\n",
      "((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0))\n",
      "((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0))\n",
      "[411.7312852697779, 980.4487112686725, 299.9999999999999]\n",
      "[813.6862861351653, 315.6412870005529, 203.91000173077484]\n",
      "[813.6862861351653, 386.3137138648348, 203.91000173077484]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)))\n",
      "[411.7312852697779, 980.4487112686725, 299.9999999999999]\n",
      "((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0))\n",
      "((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1))\n",
      "[611.7312852697779, 1180.4487112686725, 29.219092665487437]\n",
      "[813.6862861351653, 386.3137138648348, 203.91000173077484]\n",
      "[813.6862861351653, 386.3137138648348, -266.87090560373764]\n",
      "0\n",
      "300.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)))\n",
      "[611.7312852697779, 1180.4487112686725, 29.219092665487437]\n",
      "((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1))\n",
      "((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1))\n",
      "[-3.9100017307749795, 880.4487112686725, -270.78090733451256]\n",
      "[813.6862861351653, 386.3137138648348, -266.87090560373764]\n",
      "[498.04499913461245, 386.3137138648348, -266.87090560373764]\n",
      "0\n",
      "200.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)))\n",
      "[-3.9100017307749795, 880.4487112686725, -270.78090733451256]\n",
      "((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1))\n",
      "((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1))\n",
      "[0.0, 680.4487112686725, -470.78090733451256]\n",
      "[498.04499913461245, 386.3137138648348, -266.87090560373764]\n",
      "[701.9550008653874, 386.3137138648348, -266.87090560373764]\n",
      "2\n",
      "100.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)))\n",
      "[0.0, 680.4487112686725, -470.78090733451256]\n",
      "((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1))\n",
      "((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0))\n",
      "[-100.0, 580.4487112686725, 11.731285269777914]\n",
      "[701.9550008653874, 386.3137138648348, -266.87090560373764]\n",
      "[701.9550008653874, 386.3137138648348, 315.6412870005529]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)))\n",
      "[-100.0, 580.4487112686725, 11.731285269777914]\n",
      "((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0))\n",
      "[-100.0, 664.91590473835, 11.731285269777914]\n",
      "[701.9550008653874, 386.3137138648348, 315.6412870005529]\n",
      "[701.9550008653874, 470.7809073345124, 315.6412870005529]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)))\n",
      "[-100.0, 664.91590473835, 11.731285269777914]\n",
      "((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0))\n",
      "[-100.0, 896.0899982692251, 11.731285269777914]\n",
      "[701.9550008653874, 470.7809073345124, 315.6412870005529]\n",
      "[701.9550008653874, 701.9550008653874, 315.6412870005529]\n",
      "1\n",
      "-100.0\n",
      "here\n",
      "(((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)))\n",
      "[-100.0, 896.0899982692251, 11.731285269777914]\n",
      "((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0))\n",
      "[0.0, 27.264091800100005, 111.73128526977791]\n",
      "[701.9550008653874, 701.9550008653874, 315.6412870005529]\n",
      "[701.9550008653874, -266.87090560373764, 315.6412870005529]\n",
      "0\n",
      "0.0\n",
      "here\n",
      "(((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)))\n",
      "[0.0, 27.264091800100005, 111.73128526977791]\n",
      "((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0))\n",
      "((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0))\n",
      "[-231.17409353087504, 27.264091800100005, 111.73128526977791]\n",
      "[701.9550008653874, -266.87090560373764, 315.6412870005529]\n",
      "[470.7809073345124, -266.87090560373764, 315.6412870005529]\n",
      "2\n",
      "600.0\n",
      "here\n",
      "(((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)))\n",
      "[-231.17409353087504, 27.264091800100005, 111.73128526977791]\n",
      "((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0))\n",
      "((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0))\n",
      "[-831.1740935308751, -572.7359081999, 9.776284404390367]\n",
      "[470.7809073345124, -266.87090560373764, 315.6412870005529]\n",
      "[470.7809073345124, -266.87090560373764, 813.6862861351653]\n",
      "2\n",
      "-400.0\n",
      "here\n",
      "(((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)))\n",
      "[-831.1740935308751, -572.7359081999, 9.776284404390367]\n",
      "((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0))\n",
      "((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0))\n",
      "[-431.1740935308751, -172.7359081999, -17.596287865940155]\n",
      "[470.7809073345124, -266.87090560373764, 813.6862861351653]\n",
      "[470.7809073345124, -266.87090560373764, 386.3137138648348]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)))\n",
      "[-431.1740935308751, -172.7359081999, -17.596287865940155]\n",
      "((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0))\n",
      "((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "[-431.1740935308751, -403.9100017307749, -17.596287865940155]\n",
      "[470.7809073345124, -266.87090560373764, 386.3137138648348]\n",
      "[470.7809073345124, -498.04499913461257, 386.3137138648348]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)))\n",
      "[-431.1740935308751, -403.9100017307749, -17.596287865940155]\n",
      "((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0))\n",
      "[-431.1740935308751, -292.1787164609971, -17.596287865940155]\n",
      "[470.7809073345124, -498.04499913461257, 386.3137138648348]\n",
      "[470.7809073345124, -386.31371386483477, 386.3137138648348]\n",
      "1\n",
      "0.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)))\n",
      "[-431.1740935308751, -292.1787164609971, -17.596287865940155]\n",
      "((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0))\n",
      "((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0))\n",
      "[-431.1740935308751, -137.03909612703745, -17.596287865940155]\n",
      "[470.7809073345124, -386.31371386483477, 386.3137138648348]\n",
      "[470.7809073345124, -231.1740935308751, 386.3137138648348]\n",
      "2\n",
      "400.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)))\n",
      "[-431.1740935308751, -137.03909612703745, -17.596287865940155]\n",
      "((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0))\n",
      "((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0))\n",
      "[-831.1740935308751, -537.0390961270375, 9.776284404390367]\n",
      "[470.7809073345124, -231.1740935308751, 386.3137138648348]\n",
      "[470.7809073345124, -231.1740935308751, 813.6862861351653]\n",
      "1\n",
      "-600.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)))\n",
      "[-831.1740935308751, -537.0390961270375, 9.776284404390367]\n",
      "((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0))\n",
      "((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0))\n",
      "[-231.1740935308751, 294.1349974038376, 609.7762844043904]\n",
      "[470.7809073345124, -231.1740935308751, 813.6862861351653]\n",
      "[470.7809073345124, 0.0, 813.6862861351653]\n",
      "2\n",
      "0.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-231.1740935308751, 294.1349974038376, 609.7762844043904]\n",
      "((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0))\n",
      "((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[-231.1740935308751, 294.1349974038376, -1.1368683772161603e-13]\n",
      "[470.7809073345124, 0.0, 813.6862861351653]\n",
      "[470.7809073345124, 0.0, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-231.1740935308751, 294.1349974038376, -1.1368683772161603e-13]\n",
      "((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-231.1740935308751, 498.04499913461245, -1.1368683772161603e-13]\n",
      "[470.7809073345124, 0.0, 203.91000173077484]\n",
      "[470.7809073345124, 203.91000173077484, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-231.1740935308751, 498.04499913461245, -1.1368683772161603e-13]\n",
      "((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-5.684341886080802e-14, 498.04499913461245, -1.1368683772161603e-13]\n",
      "[470.7809073345124, 203.91000173077484, 203.91000173077484]\n",
      "[701.9550008653874, 203.91000173077484, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)))\n",
      "[-5.684341886080802e-14, 498.04499913461245, -1.1368683772161603e-13]\n",
      "((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0))\n",
      "[-5.684341886080802e-14, 609.7762844043905, -1.1368683772161603e-13]\n",
      "[701.9550008653874, 203.91000173077484, 203.91000173077484]\n",
      "[701.9550008653874, 315.6412870005529, 203.91000173077484]\n",
      "1\n",
      "100.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-5.684341886080802e-14, 609.7762844043905, -1.1368683772161603e-13]\n",
      "((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-100.00000000000006, -37.03909612703751, -100.00000000000011]\n",
      "[701.9550008653874, 315.6412870005529, 203.91000173077484]\n",
      "[701.9550008653874, -231.1740935308751, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-100.00000000000006, -37.03909612703751, -100.00000000000011]\n",
      "((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-303.91000173077504, -37.03909612703751, -100.00000000000011]\n",
      "[701.9550008653874, -231.1740935308751, 203.91000173077484]\n",
      "[498.04499913461245, -231.1740935308751, 203.91000173077484]\n",
      "1\n",
      "-400.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-303.91000173077504, -37.03909612703751, -100.00000000000011]\n",
      "((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[96.08999826922496, 96.08999826922502, 299.9999999999999]\n",
      "[498.04499913461245, -231.1740935308751, 203.91000173077484]\n",
      "[498.04499913461245, -498.04499913461257, 203.91000173077484]\n",
      "0\n",
      "0.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[96.08999826922496, 96.08999826922502, 299.9999999999999]\n",
      "((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-15.641287000552666, 96.08999826922502, 299.9999999999999]\n",
      "[498.04499913461245, -498.04499913461257, 203.91000173077484]\n",
      "[386.3137138648348, -498.04499913461257, 203.91000173077484]\n",
      "2\n",
      "500.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)))\n",
      "[-15.641287000552666, 96.08999826922502, 299.9999999999999]\n",
      "((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "[-515.6412870005527, -403.910001730775, -17.5962878659401]\n",
      "[386.3137138648348, -498.04499913461257, 203.91000173077484]\n",
      "[386.3137138648348, -498.04499913461257, 386.3137138648348]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-515.6412870005527, -403.910001730775, -17.5962878659401]\n",
      "((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-315.64128700055267, -203.91000173077498, -8.526512829121202e-14]\n",
      "[386.3137138648348, -498.04499913461257, 386.3137138648348]\n",
      "[386.3137138648348, -498.04499913461257, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-315.64128700055267, -203.91000173077498, -8.526512829121202e-14]\n",
      "((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-498.0449991346127, -203.91000173077498, -8.526512829121202e-14]\n",
      "[386.3137138648348, -498.04499913461257, 203.91000173077484]\n",
      "[203.91000173077484, -498.04499913461257, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-498.0449991346127, -203.91000173077498, -8.526512829121202e-14]\n",
      "((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-701.9550008653875, -203.91000173077498, -8.526512829121202e-14]\n",
      "[203.91000173077484, -498.04499913461257, 203.91000173077484]\n",
      "[0.0, -498.04499913461257, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-701.9550008653875, -203.91000173077498, -8.526512829121202e-14]\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-813.6862861351653, -203.91000173077498, -8.526512829121202e-14]\n",
      "[0.0, -498.04499913461257, 203.91000173077484]\n",
      "[-111.73128526977777, -498.04499913461257, 203.91000173077484]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)))\n",
      "[-813.6862861351653, -203.91000173077498, -8.526512829121202e-14]\n",
      "((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "[-613.6862861351653, -3.9100017307749795, -3.9100017307749226]\n",
      "[-111.73128526977777, -498.04499913461257, 203.91000173077484]\n",
      "[-111.73128526977777, -498.04499913461257, 0.0]\n",
      "0\n",
      "200.0\n",
      "here\n",
      "(((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)))\n",
      "[-613.6862861351653, -3.9100017307749795, -3.9100017307749226]\n",
      "((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "[-933.1290943962626, -203.91000173077498, -203.91000173077492]\n",
      "[-111.73128526977777, -498.04499913461257, 0.0]\n",
      "[-231.1740935308751, -498.04499913461257, 0.0]\n",
      "2\n",
      "-300.0\n",
      "here\n",
      "(((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)))\n",
      "[-933.1290943962626, -203.91000173077498, -203.91000173077492]\n",
      "((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0))\n",
      "[-633.1290943962626, 96.08999826922502, -15.641287000552666]\n",
      "[-231.1740935308751, -498.04499913461257, 0.0]\n",
      "[-231.1740935308751, -498.04499913461257, -111.73128526977777]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)))\n",
      "[-633.1290943962626, 96.08999826922502, -15.641287000552666]\n",
      "((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0))\n",
      "((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0))\n",
      "[-633.1290943962626, 327.26409180009995, -15.641287000552666]\n",
      "[-231.1740935308751, -498.04499913461257, -111.73128526977777]\n",
      "[-231.1740935308751, -266.87090560373764, -111.73128526977777]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)))\n",
      "[-633.1290943962626, 327.26409180009995, -15.641287000552666]\n",
      "((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0))\n",
      "((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "[-633.1290943962626, 207.82128353900282, -15.641287000552666]\n",
      "[-231.1740935308751, -266.87090560373764, -111.73128526977777]\n",
      "[-231.1740935308751, -386.31371386483477, -111.73128526977777]\n",
      "0\n",
      "500.0\n",
      "here\n",
      "(((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)))\n",
      "[-633.1290943962626, 207.82128353900282, -15.641287000552666]\n",
      "((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "[-1288.2687147302222, -292.1787164609972, -515.6412870005527]\n",
      "[-231.1740935308751, -386.31371386483477, -111.73128526977777]\n",
      "[-386.31371386483477, -386.31371386483477, -111.73128526977777]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)))\n",
      "[-1288.2687147302222, -292.1787164609972, -515.6412870005527]\n",
      "((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0))\n",
      "[-1288.2687147302222, -137.0390961270375, -515.6412870005527]\n",
      "[-386.31371386483477, -386.31371386483477, -111.73128526977777]\n",
      "[-386.31371386483477, -231.1740935308751, -111.73128526977777]\n",
      "1\n",
      "0.0\n",
      "here\n",
      "(((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)))\n",
      "[-1288.2687147302222, -137.0390961270375, -515.6412870005527]\n",
      "((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0))\n",
      "((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0))\n",
      "[-1288.2687147302222, 94.13499740383759, -515.6412870005527]\n",
      "[-386.31371386483477, -231.1740935308751, -111.73128526977777]\n",
      "[-386.31371386483477, 0.0, -111.73128526977777]\n",
      "2\n",
      "-400.0\n",
      "here\n",
      "(((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)))\n",
      "[-1288.2687147302222, 94.13499740383759, -515.6412870005527]\n",
      "((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0))\n",
      "((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0))\n",
      "[-888.2687147302222, 494.1349974038376, -3.910001730774866]\n",
      "[-386.31371386483477, 0.0, -111.73128526977777]\n",
      "[-386.31371386483477, 0.0, 0.0]\n",
      "0\n",
      "200.0\n",
      "here\n",
      "(((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)))\n",
      "[-888.2687147302222, 494.1349974038376, -3.910001730774866]\n",
      "((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0))\n",
      "((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0))\n",
      "[-1200.0, 294.1349974038376, -203.91000173077487]\n",
      "[-386.31371386483477, 0.0, 0.0]\n",
      "[-498.04499913461257, 0.0, 0.0]\n",
      "2\n",
      "0.0\n",
      "here\n",
      "(((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-1200.0, 294.1349974038376, -203.91000173077487]\n",
      "((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0))\n",
      "((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[-1200.0, 294.1349974038376, -2.842170943040401e-14]\n",
      "[-498.04499913461257, 0.0, 0.0]\n",
      "[-498.04499913461257, 0.0, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)))\n",
      "[-1200.0, 294.1349974038376, -2.842170943040401e-14]\n",
      "((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0))\n",
      "[-1200.0, 182.40371213405982, -2.842170943040401e-14]\n",
      "[-498.04499913461257, 0.0, 203.91000173077484]\n",
      "[-498.04499913461257, -111.73128526977777, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)))\n",
      "[-1200.0, 182.40371213405982, -2.842170943040401e-14]\n",
      "((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0))\n",
      "((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0))\n",
      "[-1200.0, 1382.4037121340598, -2.842170943040401e-14]\n",
      "[-498.04499913461257, -111.73128526977777, 203.91000173077484]\n",
      "[-498.04499913461257, 1088.2687147302222, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-1200.0, 1382.4037121340598, -2.842170943040401e-14]\n",
      "((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0))\n",
      "((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-1200.0, 1262.9609038729625, -2.842170943040401e-14]\n",
      "[-498.04499913461257, 1088.2687147302222, 203.91000173077484]\n",
      "[-498.04499913461257, 968.8259064691249, 203.91000173077484]\n",
      "2\n",
      "200.0\n",
      "here\n",
      "(((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)))\n",
      "[-1200.0, 1262.9609038729625, -2.842170943040401e-14]\n",
      "((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0))\n",
      "[-1400.0, 1062.9609038729625, -17.59628786594004]\n",
      "[-498.04499913461257, 968.8259064691249, 203.91000173077484]\n",
      "[-498.04499913461257, 968.8259064691249, 386.3137138648348]\n",
      "1\n",
      "-200.0\n",
      "here\n",
      "(((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)))\n",
      "[-1400.0, 1062.9609038729625, -17.59628786594004]\n",
      "((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0))\n",
      "((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0))\n",
      "[-1200.0, 1107.821283539003, 182.40371213405996]\n",
      "[-498.04499913461257, 968.8259064691249, 386.3137138648348]\n",
      "[-498.04499913461257, 813.6862861351653, 386.3137138648348]\n",
      "1\n",
      "-200.0\n",
      "here\n",
      "(((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)))\n",
      "[-1200.0, 1107.821283539003, 182.40371213405996]\n",
      "((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0))\n",
      "((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0))\n",
      "[-1000.0, 1196.089998269225, 382.40371213405996]\n",
      "[-498.04499913461257, 813.6862861351653, 386.3137138648348]\n",
      "[-498.04499913461257, 701.9550008653874, 386.3137138648348]\n",
      "2\n",
      "200.0\n",
      "here\n",
      "(((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-1000.0, 1196.089998269225, 382.40371213405996]\n",
      "((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0))\n",
      "((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-1200.0, 996.0899982692249, -2.842170943040401e-14]\n",
      "[-498.04499913461257, 701.9550008653874, 386.3137138648348]\n",
      "[-498.04499913461257, 701.9550008653874, 203.91000173077484]\n",
      "2\n",
      "500.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)))\n",
      "[-1200.0, 996.0899982692249, -2.842170943040401e-14]\n",
      "((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0))\n",
      "[-1700.0, 496.0899982692249, -1.955000865387433]\n",
      "[-498.04499913461257, 701.9550008653874, 203.91000173077484]\n",
      "[-498.04499913461257, 701.9550008653874, 701.9550008653874]\n",
      "2\n",
      "100.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)))\n",
      "[-1700.0, 496.0899982692249, -1.955000865387433]\n",
      "((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0))\n",
      "((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0))\n",
      "[-1800.0, 396.0899982692249, 9.77628440439048]\n",
      "[-498.04499913461257, 701.9550008653874, 701.9550008653874]\n",
      "[-498.04499913461257, 701.9550008653874, 813.6862861351653]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)))\n",
      "[-1800.0, 396.0899982692249, 9.77628440439048]\n",
      "((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0))\n",
      "((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0))\n",
      "[-1800.0, 164.91590473834987, 9.77628440439048]\n",
      "[-498.04499913461257, 701.9550008653874, 813.6862861351653]\n",
      "[-498.04499913461257, 470.7809073345124, 813.6862861351653]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)))\n",
      "[-1800.0, 164.91590473834987, 9.77628440439048]\n",
      "((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0))\n",
      "((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
      "[-1700.0, 264.91590473834987, -1.955000865387433]\n",
      "[-498.04499913461257, 470.7809073345124, 813.6862861351653]\n",
      "[-498.04499913461257, 470.7809073345124, 701.9550008653874]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)))\n",
      "[-1700.0, 264.91590473834987, -1.955000865387433]\n",
      "((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
      "((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
      "[-1468.8259064691251, 264.91590473834987, -1.955000865387433]\n",
      "[-498.04499913461257, 470.7809073345124, 701.9550008653874]\n",
      "[-266.87090560373764, 470.7809073345124, 701.9550008653874]\n",
      "2\n",
      "-300.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)))\n",
      "[-1468.8259064691251, 264.91590473834987, -1.955000865387433]\n",
      "((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
      "((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0))\n",
      "[-1168.8259064691251, 564.9159047383498, -17.59628786594004]\n",
      "[-266.87090560373764, 470.7809073345124, 701.9550008653874]\n",
      "[-266.87090560373764, 470.7809073345124, 386.3137138648348]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)))\n",
      "[-1168.8259064691251, 564.9159047383498, -17.59628786594004]\n",
      "((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0))\n",
      "((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0))\n",
      "[-1168.8259064691251, 409.7762844043903, -17.59628786594004]\n",
      "[-266.87090560373764, 470.7809073345124, 386.3137138648348]\n",
      "[-266.87090560373764, 315.6412870005529, 386.3137138648348]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)))\n",
      "[-1168.8259064691251, 409.7762844043903, -17.59628786594004]\n",
      "((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0))\n",
      "((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0))\n",
      "[-1013.6862861351652, 409.7762844043903, -17.59628786594004]\n",
      "[-266.87090560373764, 315.6412870005529, 386.3137138648348]\n",
      "[-111.73128526977777, 315.6412870005529, 386.3137138648348]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)))\n",
      "[-1013.6862861351652, 409.7762844043903, -17.59628786594004]\n",
      "((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0))\n",
      "((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0))\n",
      "[-1013.6862861351652, 480.44871126867224, -17.59628786594004]\n",
      "[-111.73128526977777, 315.6412870005529, 386.3137138648348]\n",
      "[-111.73128526977777, 386.3137138648348, 386.3137138648348]\n",
      "0\n",
      "-100.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)))\n",
      "[-1013.6862861351652, 480.44871126867224, -17.59628786594004]\n",
      "((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0))\n",
      "((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0))\n",
      "[11.731285269777914, 580.4487112686722, 82.40371213405996]\n",
      "[-111.73128526977777, 386.3137138648348, 386.3137138648348]\n",
      "[813.6862861351653, 386.3137138648348, 386.3137138648348]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)))\n",
      "[11.731285269777914, 580.4487112686722, 82.40371213405996]\n",
      "((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0))\n",
      "((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0))\n",
      "[111.73128526977791, 680.4487112686722, -2.842170943040401e-14]\n",
      "[813.6862861351653, 386.3137138648348, 386.3137138648348]\n",
      "[813.6862861351653, 386.3137138648348, 203.91000173077484]\n",
      "1\n",
      "100.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[111.73128526977791, 680.4487112686722, -2.842170943040401e-14]\n",
      "((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0))\n",
      "((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[11.731285269777914, -37.03909612703774, -100.00000000000003]\n",
      "[813.6862861351653, 386.3137138648348, 203.91000173077484]\n",
      "[813.6862861351653, -231.1740935308751, 203.91000173077484]\n",
      "1\n",
      "-100.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)))\n",
      "[11.731285269777914, -37.03909612703774, -100.00000000000003]\n",
      "((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "[111.73128526977791, 27.26409180009972, -2.842170943040401e-14]\n",
      "[813.6862861351653, -231.1740935308751, 203.91000173077484]\n",
      "[813.6862861351653, -266.87090560373764, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)))\n",
      "[111.73128526977791, 27.26409180009972, -2.842170943040401e-14]\n",
      "((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "[0.0, 27.26409180009972, -2.842170943040401e-14]\n",
      "[813.6862861351653, -266.87090560373764, 203.91000173077484]\n",
      "[701.9550008653874, -266.87090560373764, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)))\n",
      "[0.0, 27.26409180009972, -2.842170943040401e-14]\n",
      "((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "[-203.91000173077498, 27.26409180009972, -2.842170943040401e-14]\n",
      "[701.9550008653874, -266.87090560373764, 203.91000173077484]\n",
      "[498.04499913461245, -266.87090560373764, 203.91000173077484]\n",
      "1\n",
      "0.0\n",
      "here\n",
      "(((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-203.91000173077498, 27.26409180009972, -2.842170943040401e-14]\n",
      "((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-203.91000173077498, 62.96090387296226, -2.842170943040401e-14]\n",
      "[498.04499913461245, -266.87090560373764, 203.91000173077484]\n",
      "[498.04499913461245, -231.1740935308751, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-203.91000173077498, 62.96090387296226, -2.842170943040401e-14]\n",
      "((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-386.31371386483454, 62.96090387296226, -2.842170943040401e-14]\n",
      "[498.04499913461245, -231.1740935308751, 203.91000173077484]\n",
      "[315.6412870005529, -231.1740935308751, 203.91000173077484]\n",
      "0\n",
      "-300.0\n",
      "here\n",
      "(((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-386.31371386483454, 62.96090387296226, -2.842170943040401e-14]\n",
      "((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[68.82590646912496, 362.96090387296226, 300.0]\n",
      "[315.6412870005529, -231.1740935308751, 203.91000173077484]\n",
      "[470.7809073345124, -231.1740935308751, 203.91000173077484]\n",
      "1\n",
      "100.0\n",
      "here\n",
      "(((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[68.82590646912496, 362.96090387296226, 300.0]\n",
      "((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-31.17409353087504, -3.910001730775207, 200.0]\n",
      "[470.7809073345124, -231.1740935308751, 203.91000173077484]\n",
      "[470.7809073345124, -498.04499913461257, 203.91000173077484]\n",
      "2\n",
      "400.0\n",
      "here\n",
      "(((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)))\n",
      "[-31.17409353087504, -3.910001730775207, 200.0]\n",
      "((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "[-431.17409353087504, -403.9100017307752, -17.596287865939985]\n",
      "[470.7809073345124, -498.04499913461257, 203.91000173077484]\n",
      "[470.7809073345124, -498.04499913461257, 386.3137138648348]\n",
      "1\n",
      "-500.0\n",
      "here\n",
      "(((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)))\n",
      "[-431.17409353087504, -403.9100017307752, -17.596287865939985]\n",
      "((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0))\n",
      "[68.82590646912496, -135.0840952616503, 482.40371213406]\n",
      "[470.7809073345124, -498.04499913461257, 386.3137138648348]\n",
      "[470.7809073345124, -729.2190926654877, 386.3137138648348]\n",
      "2\n",
      "300.0\n",
      "here\n",
      "(((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)))\n",
      "[68.82590646912496, -135.0840952616503, 482.40371213406]\n",
      "((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0))\n",
      "((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0))\n",
      "[-231.17409353087504, -435.0840952616503, 0.0]\n",
      "[470.7809073345124, -729.2190926654877, 386.3137138648348]\n",
      "[470.7809073345124, -729.2190926654877, 203.91000173077484]\n",
      "1\n",
      "-500.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)))\n",
      "[-231.17409353087504, -435.0840952616503, 0.0]\n",
      "((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0))\n",
      "((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0))\n",
      "[268.82590646912496, -19.551288731327872, 500.0]\n",
      "[470.7809073345124, -729.2190926654877, 203.91000173077484]\n",
      "[470.7809073345124, -813.6862861351652, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)))\n",
      "[268.82590646912496, -19.551288731327872, 500.0]\n",
      "((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0))\n",
      "((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0))\n",
      "[29.21909266548755, -19.551288731327872, 500.0]\n",
      "[470.7809073345124, -813.6862861351652, 203.91000173077484]\n",
      "[231.17409353087498, -813.6862861351652, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)))\n",
      "[29.21909266548755, -19.551288731327872, 500.0]\n",
      "((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0))\n",
      "[184.3587129994474, -19.551288731327872, 500.0]\n",
      "[231.17409353087498, -813.6862861351652, 203.91000173077484]\n",
      "[386.3137138648348, -813.6862861351652, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)))\n",
      "[184.3587129994474, -19.551288731327872, 500.0]\n",
      "((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0))\n",
      "((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0))\n",
      "[1.9550008653874045, -19.551288731327872, 500.0]\n",
      "[386.3137138648348, -813.6862861351652, 203.91000173077484]\n",
      "[203.91000173077484, -813.6862861351652, 203.91000173077484]\n",
      "2\n",
      "200.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)))\n",
      "[1.9550008653874045, -19.551288731327872, 500.0]\n",
      "((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0))\n",
      "((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0))\n",
      "[-198.0449991346126, -219.55128873132787, -15.641287000552609]\n",
      "[203.91000173077484, -813.6862861351652, 203.91000173077484]\n",
      "[203.91000173077484, -813.6862861351652, -111.73128526977777]\n",
      "0\n",
      "500.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)))\n",
      "[-198.0449991346126, -219.55128873132787, -15.641287000552609]\n",
      "((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0))\n",
      "((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0))\n",
      "[-901.9550008653874, -719.5512887313279, -515.6412870005527]\n",
      "[203.91000173077484, -813.6862861351652, -111.73128526977777]\n",
      "[0.0, -813.6862861351652, -111.73128526977777]\n",
      "2\n",
      "-400.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)))\n",
      "[-901.9550008653874, -719.5512887313279, -515.6412870005527]\n",
      "((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0))\n",
      "((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0))\n",
      "[-501.95500086538743, -319.5512887313279, -3.910001730774866]\n",
      "[0.0, -813.6862861351652, -111.73128526977777]\n",
      "[0.0, -813.6862861351652, 0.0]\n",
      "0\n",
      "0.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)))\n",
      "[-501.95500086538743, -319.5512887313279, -3.910001730774866]\n",
      "((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0))\n",
      "((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0))\n",
      "[-733.1290943962625, -319.5512887313279, -3.910001730774866]\n",
      "[0.0, -813.6862861351652, 0.0]\n",
      "[-231.1740935308751, -813.6862861351652, 0.0]\n",
      "2\n",
      "500.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)))\n",
      "[-733.1290943962625, -319.5512887313279, -3.910001730774866]\n",
      "((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0))\n",
      "((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0))\n",
      "[-1233.1290943962626, -819.5512887313279, -5.865002596162412]\n",
      "[-231.1740935308751, -813.6862861351652, 0.0]\n",
      "[-231.1740935308751, -813.6862861351652, 498.04499913461245]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)))\n",
      "[-1233.1290943962626, -819.5512887313279, -5.865002596162412]\n",
      "((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0))\n",
      "((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0))\n",
      "[-1233.1290943962626, -1001.9550008653878, -5.865002596162412]\n",
      "[-231.1740935308751, -813.6862861351652, 498.04499913461245]\n",
      "[-231.1740935308751, -996.0899982692251, 498.04499913461245]\n",
      "2\n",
      "-500.0\n",
      "here\n",
      "(((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)))\n",
      "[-1233.1290943962626, -1001.9550008653878, -5.865002596162412]\n",
      "((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0))\n",
      "((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0))\n",
      "[-733.1290943962626, -501.9550008653878, -3.910001730774866]\n",
      "[-231.1740935308751, -996.0899982692251, 498.04499913461245]\n",
      "[-231.1740935308751, -996.0899982692251, 0.0]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)))\n",
      "[-733.1290943962626, -501.9550008653878, -3.910001730774866]\n",
      "((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0))\n",
      "((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0))\n",
      "[-733.1290943962626, -390.22371559560975, -3.910001730774866]\n",
      "[-231.1740935308751, -996.0899982692251, 0.0]\n",
      "[-231.1740935308751, -884.3587129994471, 0.0]\n",
      "1\n",
      "300.0\n",
      "here\n",
      "(((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)))\n",
      "[-733.1290943962626, -390.22371559560975, -3.910001730774866]\n",
      "((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0))\n",
      "((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0))\n",
      "[-1033.1290943962626, -37.03909612703774, -303.91000173077487]\n",
      "[-231.1740935308751, -884.3587129994471, 0.0]\n",
      "[-231.1740935308751, -231.1740935308751, 0.0]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "(((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-1033.1290943962626, -37.03909612703774, -303.91000173077487]\n",
      "((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0))\n",
      "((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-933.1290943962626, 62.96090387296226, -2.842170943040401e-14]\n",
      "[-231.1740935308751, -231.1740935308751, 0.0]\n",
      "[-231.1740935308751, -231.1740935308751, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-933.1290943962626, 62.96090387296226, -2.842170943040401e-14]\n",
      "((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[-933.1290943962626, 294.13499740383736, -2.842170943040401e-14]\n",
      "[-231.1740935308751, -231.1740935308751, 203.91000173077484]\n",
      "[-231.1740935308751, 0.0, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-933.1290943962626, 294.13499740383736, -2.842170943040401e-14]\n",
      "((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[-813.6862861351653, 294.13499740383736, -2.842170943040401e-14]\n",
      "[-231.1740935308751, 0.0, 203.91000173077484]\n",
      "[-111.73128526977777, 0.0, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)))\n",
      "[-813.6862861351653, 294.13499740383736, -2.842170943040401e-14]\n",
      "((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0))\n",
      "[-813.6862861351653, 182.4037121340596, -2.842170943040401e-14]\n",
      "[-111.73128526977777, 0.0, 203.91000173077484]\n",
      "[-111.73128526977777, -111.73128526977777, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)))\n",
      "[-813.6862861351653, 182.4037121340596, -2.842170943040401e-14]\n",
      "((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0))\n",
      "((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0))\n",
      "[-968.8259064691252, 182.4037121340596, -2.842170943040401e-14]\n",
      "[-111.73128526977777, -111.73128526977777, 203.91000173077484]\n",
      "[-266.87090560373764, -111.73128526977777, 203.91000173077484]\n",
      "2\n",
      "-300.0\n",
      "here\n",
      "(((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)))\n",
      "[-968.8259064691252, 182.4037121340596, -2.842170943040401e-14]\n",
      "((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0))\n",
      "((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0))\n",
      "[-668.8259064691252, 482.40371213405956, -15.641287000552666]\n",
      "[-266.87090560373764, -111.73128526977777, 203.91000173077484]\n",
      "[-266.87090560373764, -111.73128526977777, -111.73128526977777]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)))\n",
      "[-668.8259064691252, 482.40371213405956, -15.641287000552666]\n",
      "((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0))\n",
      "((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0))\n",
      "[-900.0000000000002, 482.40371213405956, -15.641287000552666]\n",
      "[-266.87090560373764, -111.73128526977777, -111.73128526977777]\n",
      "[-498.04499913461257, -111.73128526977777, -111.73128526977777]\n",
      "1\n",
      "900.0\n",
      "here\n",
      "(((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)))\n",
      "[-900.0000000000002, 482.40371213405956, -15.641287000552666]\n",
      "((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0))\n",
      "((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0))\n",
      "[-1800.0000000000002, 9.776284404390253, -915.6412870005527]\n",
      "[-498.04499913461257, -111.73128526977777, -111.73128526977777]\n",
      "[-498.04499913461257, 315.6412870005529, -111.73128526977777]\n",
      "0\n",
      "-400.0\n",
      "here\n",
      "(((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)))\n",
      "[-1800.0000000000002, 9.776284404390253, -915.6412870005527]\n",
      "((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0))\n",
      "((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0))\n",
      "[-1288.2687147302224, 409.77628440439025, -515.6412870005527]\n",
      "[-498.04499913461257, 315.6412870005529, -111.73128526977777]\n",
      "[-386.31371386483477, 315.6412870005529, -111.73128526977777]\n",
      "1\n",
      "0.0\n",
      "here\n",
      "(((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)))\n",
      "[-1288.2687147302224, 409.77628440439025, -515.6412870005527]\n",
      "((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0))\n",
      "((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0))\n",
      "[-1288.2687147302224, 325.30909093471234, -515.6412870005527]\n",
      "[-386.31371386483477, 315.6412870005529, -111.73128526977777]\n",
      "[-386.31371386483477, 231.17409353087498, -111.73128526977777]\n",
      "0\n",
      "-100.0\n",
      "here\n",
      "(((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)))\n",
      "[-1288.2687147302224, 325.30909093471234, -515.6412870005527]\n",
      "((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0))\n",
      "((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0))\n",
      "[11.731285269777572, 425.30909093471234, -415.64128700055267]\n",
      "[-386.31371386483477, 231.17409353087498, -111.73128526977777]\n",
      "[813.6862861351653, 231.17409353087498, -111.73128526977777]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "(((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)))\n",
      "[11.731285269777572, 425.30909093471234, -415.64128700055267]\n",
      "((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0))\n",
      "((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0))\n",
      "[111.73128526977757, 525.3090909347123, -5.684341886080802e-14]\n",
      "[813.6862861351653, 231.17409353087498, -111.73128526977777]\n",
      "[813.6862861351653, 231.17409353087498, 203.91000173077484]\n",
      "2\n",
      "200.0\n",
      "here\n",
      "(((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)))\n",
      "[111.73128526977757, 525.3090909347123, -5.684341886080802e-14]\n",
      "((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0))\n",
      "((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
      "[-88.26871473022243, 325.30909093471234, -17.59628786594007]\n",
      "[813.6862861351653, 231.17409353087498, 203.91000173077484]\n",
      "[813.6862861351653, 231.17409353087498, 386.3137138648348]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "(((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)))\n",
      "[-88.26871473022243, 325.30909093471234, -17.59628786594007]\n",
      "((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
      "((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0))\n",
      "[11.731285269777572, 425.30909093471234, 11.731285269777999]\n",
      "[813.6862861351653, 231.17409353087498, 386.3137138648348]\n",
      "[813.6862861351653, 231.17409353087498, 315.6412870005529]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)))\n",
      "[11.731285269777572, 425.30909093471234, 11.731285269777999]\n",
      "((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0))\n",
      "[-100.00000000000034, 425.30909093471234, 11.731285269777999]\n",
      "[813.6862861351653, 231.17409353087498, 315.6412870005529]\n",
      "[701.9550008653874, 231.17409353087498, 315.6412870005529]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)))\n",
      "[-100.00000000000034, 425.30909093471234, 11.731285269777999]\n",
      "((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0))\n",
      "[-100.00000000000034, 194.13499740383736, 11.731285269777999]\n",
      "[701.9550008653874, 231.17409353087498, 315.6412870005529]\n",
      "[701.9550008653874, 0.0, 315.6412870005529]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-100.00000000000034, 194.13499740383736, 11.731285269777999]\n",
      "((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[-3.410605131648481e-13, 294.13499740383736, -5.684341886080802e-14]\n",
      "[701.9550008653874, 0.0, 315.6412870005529]\n",
      "[701.9550008653874, 0.0, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-3.410605131648481e-13, 294.13499740383736, -5.684341886080802e-14]\n",
      "((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[231.17409353087453, 294.13499740383736, -5.684341886080802e-14]\n",
      "[701.9550008653874, 0.0, 203.91000173077484]\n",
      "[933.1290943962623, 0.0, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[231.17409353087453, 294.13499740383736, -5.684341886080802e-14]\n",
      "((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[231.17409353087453, 62.96090387296226, -5.684341886080802e-14]\n",
      "[933.1290943962623, 0.0, 203.91000173077484]\n",
      "[933.1290943962623, -231.1740935308751, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[231.17409353087453, 62.96090387296226, -5.684341886080802e-14]\n",
      "((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[386.3137138648344, 62.96090387296226, -5.684341886080802e-14]\n",
      "[933.1290943962623, -231.1740935308751, 203.91000173077484]\n",
      "[1088.2687147302222, -231.1740935308751, 203.91000173077484]\n",
      "0\n",
      "0.0\n",
      "here\n",
      "(((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[386.3137138648344, 62.96090387296226, -5.684341886080802e-14]\n",
      "((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[266.8709056037371, 62.96090387296226, -5.684341886080802e-14]\n",
      "[1088.2687147302222, -231.1740935308751, 203.91000173077484]\n",
      "[968.8259064691249, -231.1740935308751, 203.91000173077484]\n",
      "1\n",
      "600.0\n",
      "here\n",
      "(((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)))\n",
      "[266.8709056037371, 62.96090387296226, -5.684341886080802e-14]\n",
      "((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0))\n",
      "[-333.1290943962629, 9.776284404390253, -600.0]\n",
      "[968.8259064691249, -231.1740935308751, 203.91000173077484]\n",
      "[968.8259064691249, 315.6412870005529, 203.91000173077484]\n",
      "2\n",
      "-700.0\n",
      "here\n",
      "(((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)))\n",
      "[-333.1290943962629, 9.776284404390253, -600.0]\n",
      "((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0))\n",
      "[366.8709056037371, 709.7762844043903, -103.91000173077487]\n",
      "[968.8259064691249, 315.6412870005529, 203.91000173077484]\n",
      "[968.8259064691249, 315.6412870005529, 0.0]\n",
      "1\n",
      "400.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)))\n",
      "[366.8709056037371, 709.7762844043903, -103.91000173077487]\n",
      "((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0))\n",
      "((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0))\n",
      "[-33.12909439626287, 464.9159047383498, -503.91000173077487]\n",
      "[968.8259064691249, 315.6412870005529, 0.0]\n",
      "[968.8259064691249, 470.7809073345124, 0.0]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)))\n",
      "[-33.12909439626287, 464.9159047383498, -503.91000173077487]\n",
      "((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0))\n",
      "((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0))\n",
      "[166.87090560373713, 664.9159047383498, 11.731285269778027]\n",
      "[968.8259064691249, 470.7809073345124, 0.0]\n",
      "[968.8259064691249, 470.7809073345124, 315.6412870005529]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)))\n",
      "[166.87090560373713, 664.9159047383498, 11.731285269778027]\n",
      "((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0))\n",
      "((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0))\n",
      "[11.731285269777572, 664.9159047383498, 11.731285269778027]\n",
      "[968.8259064691249, 470.7809073345124, 315.6412870005529]\n",
      "[813.6862861351653, 470.7809073345124, 315.6412870005529]\n",
      "1\n",
      "-100.0\n",
      "here\n",
      "(((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)))\n",
      "[11.731285269777572, 664.9159047383498, 11.731285269778027]\n",
      "((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0))\n",
      "((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0))\n",
      "[111.73128526977757, 996.0899982692249, 111.73128526977803]\n",
      "[813.6862861351653, 470.7809073345124, 315.6412870005529]\n",
      "[813.6862861351653, 701.9550008653874, 315.6412870005529]\n",
      "2\n",
      "0.0\n",
      "here\n",
      "(((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[111.73128526977757, 996.0899982692249, 111.73128526977803]\n",
      "((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0))\n",
      "((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[111.73128526977757, 996.0899982692249, -2.842170943040401e-14]\n",
      "[813.6862861351653, 701.9550008653874, 315.6412870005529]\n",
      "[813.6862861351653, 701.9550008653874, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[111.73128526977757, 996.0899982692249, -2.842170943040401e-14]\n",
      "((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-3.410605131648481e-13, 996.0899982692249, -2.842170943040401e-14]\n",
      "[813.6862861351653, 701.9550008653874, 203.91000173077484]\n",
      "[701.9550008653874, 701.9550008653874, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-3.410605131648481e-13, 996.0899982692249, -2.842170943040401e-14]\n",
      "((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-203.91000173077532, 996.0899982692249, -2.842170943040401e-14]\n",
      "[701.9550008653874, 701.9550008653874, 203.91000173077484]\n",
      "[498.04499913461245, 701.9550008653874, 203.91000173077484]\n",
      "0\n",
      "-500.0\n",
      "here\n",
      "(((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-203.91000173077532, 996.0899982692249, -2.842170943040401e-14]\n",
      "((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[184.35871299944705, 1496.089998269225, 500.0]\n",
      "[498.04499913461245, 701.9550008653874, 203.91000173077484]\n",
      "[386.3137138648348, 701.9550008653874, 203.91000173077484]\n",
      "2\n",
      "700.0\n",
      "here\n",
      "(((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)))\n",
      "[184.35871299944705, 1496.089998269225, 500.0]\n",
      "((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0))\n",
      "[-515.6412870005529, 796.0899982692249, -17.596287865939985]\n",
      "[386.3137138648348, 701.9550008653874, 203.91000173077484]\n",
      "[386.3137138648348, 701.9550008653874, 386.3137138648348]\n",
      "2\n",
      "-400.0\n",
      "here\n",
      "(((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)))\n",
      "[-515.6412870005529, 796.0899982692249, -17.596287865939985]\n",
      "((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0))\n",
      "((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0))\n",
      "[-115.6412870005529, 1196.089998269225, -3.910001730774809]\n",
      "[386.3137138648348, 701.9550008653874, 386.3137138648348]\n",
      "[386.3137138648348, 701.9550008653874, 0.0]\n",
      "0\n",
      "300.0\n",
      "here\n",
      "(((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)))\n",
      "[-115.6412870005529, 1196.089998269225, -3.910001730774809]\n",
      "((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0))\n",
      "((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0))\n",
      "[-486.3137138648348, 896.0899982692249, -303.9100017307748]\n",
      "[386.3137138648348, 701.9550008653874, 0.0]\n",
      "[315.6412870005529, 701.9550008653874, 0.0]\n",
      "2\n",
      "400.0\n",
      "here\n",
      "(((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)))\n",
      "[-486.3137138648348, 896.0899982692249, -303.9100017307748]\n",
      "((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0))\n",
      "((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0))\n",
      "[-886.3137138648349, 496.0899982692249, -1.955000865387376]\n",
      "[315.6412870005529, 701.9550008653874, 0.0]\n",
      "[315.6412870005529, 701.9550008653874, 701.9550008653874]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)))\n",
      "[-886.3137138648349, 496.0899982692249, -1.955000865387376]\n",
      "((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0))\n",
      "((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0))\n",
      "[-886.3137138648349, 607.8212835390028, -1.955000865387376]\n",
      "[315.6412870005529, 701.9550008653874, 701.9550008653874]\n",
      "[315.6412870005529, 813.6862861351653, 701.9550008653874]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)))\n",
      "[-886.3137138648349, 607.8212835390028, -1.955000865387376]\n",
      "((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0))\n",
      "((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0))\n",
      "[-886.3137138648349, 727.2640918000998, -1.955000865387376]\n",
      "[315.6412870005529, 813.6862861351653, 701.9550008653874]\n",
      "[315.6412870005529, 933.1290943962623, 701.9550008653874]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)))\n",
      "[-886.3137138648349, 727.2640918000998, -1.955000865387376]\n",
      "((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0))\n",
      "((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0))\n",
      "[-886.3137138648349, 882.4037121340597, -1.955000865387376]\n",
      "[315.6412870005529, 933.1290943962623, 701.9550008653874]\n",
      "[315.6412870005529, 1088.2687147302222, 701.9550008653874]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)))\n",
      "[-886.3137138648349, 882.4037121340597, -1.955000865387376]\n",
      "((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0))\n",
      "((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0))\n",
      "[-686.3137138648349, 1082.4037121340598, -5.8650025961623555]\n",
      "[315.6412870005529, 1088.2687147302222, 701.9550008653874]\n",
      "[315.6412870005529, 1088.2687147302222, 498.04499913461245]\n",
      "1\n",
      "-100.0\n",
      "here\n",
      "(((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)))\n",
      "[-686.3137138648349, 1082.4037121340598, -5.8650025961623555]\n",
      "((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0))\n",
      "((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0))\n",
      "[-586.3137138648349, 1062.9609038729625, 94.13499740383764]\n",
      "[315.6412870005529, 1088.2687147302222, 498.04499913461245]\n",
      "[315.6412870005529, 968.8259064691249, 498.04499913461245]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-586.3137138648349, 1062.9609038729625, 94.13499740383764]\n",
      "((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0))\n",
      "((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-386.3137138648349, 1262.9609038729625, 5.684341886080802e-14]\n",
      "[315.6412870005529, 968.8259064691249, 498.04499913461245]\n",
      "[315.6412870005529, 968.8259064691249, 203.91000173077484]\n",
      "1\n",
      "0.0\n",
      "here\n",
      "(((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-386.3137138648349, 1262.9609038729625, 5.684341886080802e-14]\n",
      "((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-386.3137138648349, 498.04499913461245, 5.684341886080802e-14]\n",
      "[315.6412870005529, 968.8259064691249, 203.91000173077484]\n",
      "[315.6412870005529, 203.91000173077484, 203.91000173077484]\n",
      "2\n",
      "200.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)))\n",
      "[-386.3137138648349, 498.04499913461245, 5.684341886080802e-14]\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0))\n",
      "[-586.3137138648349, 298.04499913461245, -17.596287865939956]\n",
      "[315.6412870005529, 203.91000173077484, 203.91000173077484]\n",
      "[315.6412870005529, 203.91000173077484, 386.3137138648348]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-586.3137138648349, 298.04499913461245, -17.596287865939956]\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0))\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-386.3137138648349, 498.04499913461245, 5.684341886080802e-14]\n",
      "[315.6412870005529, 203.91000173077484, 386.3137138648348]\n",
      "[315.6412870005529, 203.91000173077484, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-386.3137138648349, 498.04499913461245, 5.684341886080802e-14]\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-315.64128700055295, 498.04499913461245, 5.684341886080802e-14]\n",
      "[315.6412870005529, 203.91000173077484, 203.91000173077484]\n",
      "[386.3137138648348, 203.91000173077484, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-315.64128700055295, 498.04499913461245, 5.684341886080802e-14]\n",
      "((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-231.17409353087538, 498.04499913461245, 5.684341886080802e-14]\n",
      "[386.3137138648348, 203.91000173077484, 203.91000173077484]\n",
      "[470.7809073345124, 203.91000173077484, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-231.17409353087538, 498.04499913461245, 5.684341886080802e-14]\n",
      "((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-3.410605131648481e-13, 498.04499913461245, 5.684341886080802e-14]\n",
      "[470.7809073345124, 203.91000173077484, 203.91000173077484]\n",
      "[701.9550008653874, 203.91000173077484, 203.91000173077484]\n",
      "0\n",
      "300.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-3.410605131648481e-13, 498.04499913461245, 5.684341886080802e-14]\n",
      "((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-33.12909439626287, 198.04499913461245, -299.99999999999994]\n",
      "[701.9550008653874, 203.91000173077484, 203.91000173077484]\n",
      "[968.8259064691249, 203.91000173077484, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-33.12909439626287, 198.04499913461245, -299.99999999999994]\n",
      "((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[-33.12909439626287, -5.865002596162384, -299.99999999999994]\n",
      "[968.8259064691249, 203.91000173077484, 203.91000173077484]\n",
      "[968.8259064691249, 0.0, 203.91000173077484]\n",
      "0\n",
      "200.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-33.12909439626287, -5.865002596162384, -299.99999999999994]\n",
      "((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[-113.68628613516557, -205.86500259616238, -499.99999999999994]\n",
      "[968.8259064691249, 0.0, 203.91000173077484]\n",
      "[1088.2687147302222, 0.0, 203.91000173077484]\n",
      "2\n",
      "-700.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)))\n",
      "[-113.68628613516557, -205.86500259616238, -499.99999999999994]\n",
      "((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0))\n",
      "[586.3137138648344, 494.1349974038376, -3.910001730774752]\n",
      "[1088.2687147302222, 0.0, 203.91000173077484]\n",
      "[1088.2687147302222, 0.0, 0.0]\n",
      "0\n",
      "800.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)))\n",
      "[586.3137138648344, 494.1349974038376, -3.910001730774752]\n",
      "((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0))\n",
      "((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0))\n",
      "[-368.82590646912547, -305.8650025961624, -803.9100017307748]\n",
      "[1088.2687147302222, 0.0, 0.0]\n",
      "[933.1290943962623, 0.0, 0.0]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)))\n",
      "[-368.82590646912547, -305.8650025961624, -803.9100017307748]\n",
      "((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0))\n",
      "((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0))\n",
      "[-368.82590646912547, -74.69090906528743, -803.9100017307748]\n",
      "[933.1290943962623, 0.0, 0.0]\n",
      "[933.1290943962623, 231.17409353087498, 0.0]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)))\n",
      "[-368.82590646912547, -74.69090906528743, -803.9100017307748]\n",
      "((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0))\n",
      "((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0))\n",
      "[-368.82590646912547, 9.77628440439048, -803.9100017307748]\n",
      "[933.1290943962623, 231.17409353087498, 0.0]\n",
      "[933.1290943962623, 315.6412870005529, 0.0]\n",
      "1\n",
      "-800.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)))\n",
      "[-368.82590646912547, 9.77628440439048, -803.9100017307748]\n",
      "((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0))\n",
      "((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "[431.17409353087453, -3.9100017307749795, -3.910001730774752]\n",
      "[933.1290943962623, 315.6412870005529, 0.0]\n",
      "[933.1290943962623, -498.04499913461257, 0.0]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)))\n",
      "[431.17409353087453, -3.9100017307749795, -3.910001730774752]\n",
      "((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0))\n",
      "[531.1740935308745, 96.08999826922502, -15.641287000552524]\n",
      "[933.1290943962623, -498.04499913461257, 0.0]\n",
      "[933.1290943962623, -498.04499913461257, -111.73128526977777]\n",
      "2\n",
      "300.0\n",
      "here\n",
      "(((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[531.1740935308745, 96.08999826922502, -15.641287000552524]\n",
      "((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0))\n",
      "((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[231.17409353087453, -203.91000173077498, 1.1368683772161603e-13]\n",
      "[933.1290943962623, -498.04499913461257, -111.73128526977777]\n",
      "[933.1290943962623, -498.04499913461257, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)))\n",
      "[231.17409353087453, -203.91000173077498, 1.1368683772161603e-13]\n",
      "((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0))\n",
      "[231.17409353087453, -407.82000346154996, 1.1368683772161603e-13]\n",
      "[933.1290943962623, -498.04499913461257, 203.91000173077484]\n",
      "[933.1290943962623, -701.9550008653875, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)))\n",
      "[231.17409353087453, -407.82000346154996, 1.1368683772161603e-13]\n",
      "((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0))\n",
      "((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0))\n",
      "[231.17409353087453, -590.2237155956095, 1.1368683772161603e-13]\n",
      "[933.1290943962623, -701.9550008653875, 203.91000173077484]\n",
      "[933.1290943962623, -884.3587129994471, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[231.17409353087453, -590.2237155956095, 1.1368683772161603e-13]\n",
      "((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0))\n",
      "((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[231.17409353087453, -701.9550008653875, 1.1368683772161603e-13]\n",
      "[933.1290943962623, -884.3587129994471, 203.91000173077484]\n",
      "[933.1290943962623, -996.0899982692251, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[231.17409353087453, -701.9550008653875, 1.1368683772161603e-13]\n",
      "((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-3.410605131648481e-13, -701.9550008653875, 1.1368683772161603e-13]\n",
      "[933.1290943962623, -996.0899982692251, 203.91000173077484]\n",
      "[701.9550008653874, -996.0899982692251, 203.91000173077484]\n",
      "1\n",
      "-300.0\n",
      "here\n",
      "(((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-3.410605131648481e-13, -701.9550008653875, 1.1368683772161603e-13]\n",
      "((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[299.99999999999966, 96.08999826922502, 300.0000000000001]\n",
      "[701.9550008653874, -996.0899982692251, 203.91000173077484]\n",
      "[701.9550008653874, -498.04499913461257, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[299.99999999999966, 96.08999826922502, 300.0000000000001]\n",
      "((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[411.7312852697776, 96.08999826922502, 300.0000000000001]\n",
      "[701.9550008653874, -498.04499913461257, 203.91000173077484]\n",
      "[813.6862861351653, -498.04499913461257, 203.91000173077484]\n",
      "0\n",
      "500.0\n",
      "here\n",
      "(((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[411.7312852697776, 96.08999826922502, 300.0000000000001]\n",
      "((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[66.87090560373713, -403.910001730775, -199.9999999999999]\n",
      "[813.6862861351653, -498.04499913461257, 203.91000173077484]\n",
      "[968.8259064691249, -498.04499913461257, 203.91000173077484]\n",
      "2\n",
      "0.0\n",
      "here\n",
      "(((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)))\n",
      "[66.87090560373713, -403.910001730775, -199.9999999999999]\n",
      "((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "[66.87090560373713, -403.910001730775, -17.5962878659399]\n",
      "[968.8259064691249, -498.04499913461257, 203.91000173077484]\n",
      "[968.8259064691249, -498.04499913461257, 386.3137138648348]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)))\n",
      "[66.87090560373713, -403.910001730775, -17.5962878659399]\n",
      "((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0))\n",
      "[66.87090560373713, -172.73590819990005, -17.5962878659399]\n",
      "[968.8259064691249, -498.04499913461257, 386.3137138648348]\n",
      "[968.8259064691249, -266.87090560373764, 386.3137138648348]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0)))\n",
      "[66.87090560373713, -172.73590819990005, -17.5962878659399]\n",
      "((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0))\n",
      "((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "[266.8709056037371, 27.264091800099948, 1.1368683772161603e-13]\n",
      "[968.8259064691249, -266.87090560373764, 386.3137138648348]\n",
      "[968.8259064691249, -266.87090560373764, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)))\n",
      "[266.8709056037371, 27.264091800099948, 1.1368683772161603e-13]\n",
      "((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "((-3, 1, 1, 0), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "[386.3137138648344, 27.264091800099948, 1.1368683772161603e-13]\n",
      "[968.8259064691249, -266.87090560373764, 203.91000173077484]\n",
      "[1088.2687147302222, -266.87090560373764, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (2, 0, -1, 0), (-3, 2, 0, 0)))\n",
      "[386.3137138648344, 27.264091800099948, 1.1368683772161603e-13]\n",
      "((-3, 1, 1, 0), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "((-3, 1, 1, 0), (2, 0, -1, 0), (-3, 2, 0, 0))\n",
      "[386.3137138648344, -92.17871646099718, 1.1368683772161603e-13]\n",
      "[1088.2687147302222, -266.87090560373764, 203.91000173077484]\n",
      "[1088.2687147302222, -386.31371386483477, 203.91000173077484]\n",
      "1\n",
      "-200.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[386.3137138648344, -92.17871646099718, 1.1368683772161603e-13]\n",
      "((-3, 1, 1, 0), (2, 0, -1, 0), (-3, 2, 0, 0))\n",
      "((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[586.3137138648344, 262.9609038729625, 200.0000000000001]\n",
      "[1088.2687147302222, -386.31371386483477, 203.91000173077484]\n",
      "[1088.2687147302222, -231.1740935308751, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[586.3137138648344, 262.9609038729625, 200.0000000000001]\n",
      "((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[431.17409353087453, 262.9609038729625, 200.0000000000001]\n",
      "[1088.2687147302222, -231.1740935308751, 203.91000173077484]\n",
      "[933.1290943962623, -231.1740935308751, 203.91000173077484]\n",
      "2\n",
      "300.0\n",
      "here\n",
      "(((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (1, 1, -1, 0)))\n",
      "[431.17409353087453, 262.9609038729625, 200.0000000000001]\n",
      "((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((2, 1, 0, -1), (-3, 0, 0, 1), (1, 1, -1, 0))\n",
      "[131.17409353087453, -37.03909612703751, 11.731285269778141]\n",
      "[933.1290943962623, -231.1740935308751, 203.91000173077484]\n",
      "[933.1290943962623, -231.1740935308751, 315.6412870005529]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (1, 1, -1, 0)))\n",
      "[131.17409353087453, -37.03909612703751, 11.731285269778141]\n",
      "((2, 1, 0, -1), (-3, 0, 0, 1), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (-3, 0, 0, 1), (1, 1, -1, 0))\n",
      "[-100.00000000000034, -37.03909612703751, 11.731285269778141]\n",
      "[933.1290943962623, -231.1740935308751, 315.6412870005529]\n",
      "[701.9550008653874, -231.1740935308751, 315.6412870005529]\n"
     ]
    },
    {
     "ename": "TypeError",
     "evalue": "write_chord_sequence() missing 1 required positional argument: 'path'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "Cell \u001b[0;32mIn[530], line 9\u001b[0m\n\u001b[1;32m      7\u001b[0m durs \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mtuple\u001b[39m(d[\u001b[38;5;241m0\u001b[39m] \u001b[38;5;28;01mfor\u001b[39;00m d \u001b[38;5;129;01min\u001b[39;00m target_melody_data)\n\u001b[1;32m      8\u001b[0m path_to_chords(path, root)\n\u001b[0;32m----> 9\u001b[0m \u001b[43mwrite_chord_sequence\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mlist\u001b[39;49m\u001b[43m(\u001b[49m\u001b[38;5;28;43mzip\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mdurs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mpath_to_chords\u001b[49m\u001b[43m(\u001b[49m\u001b[43mpath\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mroot\u001b[49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\n",
      "\u001b[0;31mTypeError\u001b[0m: write_chord_sequence() missing 1 required positional argument: 'path'"
     ]
    }
   ],
   "source": [
    "seed(19541116)\n",
    "factors = []\n",
    "dims = (2, 3, 5, 7)\n",
    "root = (0, 0, 0, 0)\n",
    "start_chord = ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
    "path = stochastic_hamiltonian(start_chord)\n",
    "durs = tuple(d[0] for d in target_melody_data)\n",
    "#path_to_chords(path, root)\n",
    "write_chord_sequence(list(zip(durs, path_to_chords(path, root))))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "85eda9de-ad78-4009-bf0e-c4d45e806bc4",
   "metadata": {},
   "source": [
    "## function-based approach"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c249f37-5fd5-45d3-9f52-313dd9ae3250",
   "metadata": {},
   "source": [
    "### path functions"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df57f38b-be7a-4cac-b0af-33b36c97f388",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "#### legacy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "57c834bf-fee7-4ef4-b648-2173099fbb56",
   "metadata": {},
   "outputs": [],
   "source": [
    "from random import choice, choices\n",
    "\n",
    "def hd_sum(chord):\n",
    "    distances = []\n",
    "    size = len(chord)\n",
    "    for i in range(size):\n",
    "        for j in range(i+1, size):\n",
    "            distances += [sum([abs(dist) * log(dims[idx], 2) for idx, dist in enumerate(pitch_difference(chord[i], chord[j]))])]\n",
    "    return sum(distances)\n",
    "    \n",
    "def next_edges(source, last_chords):  \n",
    "\n",
    "    def transpose_to_nearest(hs_array1, hs_array2):\n",
    "        expanded_pitch = hs_array2\n",
    "        frequency_ratio = hs_array_to_fr(list(hs_array2)) / hs_array_to_fr(list(hs_array1))\n",
    "        if frequency_ratio < 1:\n",
    "            while frequency_ratio < 1:\n",
    "                frequency_ratio *= 2\n",
    "                expanded_pitch[0] += 1\n",
    "        elif frequency_ratio >= 2:\n",
    "            while frequency_ratio >= 2:\n",
    "                frequency_ratio *= 1/2\n",
    "                expanded_pitch[0] += -1\n",
    "        return tuple(expanded_pitch)\n",
    "        \n",
    "    def gen_candidates(chord, last_chords):\n",
    "        for sdx, s_pitch in enumerate(chord):\n",
    "            for cdx, c_pitch in enumerate(chord):\n",
    "                if cdx != sdx:   \n",
    "                    for ddx, dim in enumerate(c_pitch[1:]):\n",
    "                        for alt in [-1, 1]:\n",
    "                            new_pitch = list(c_pitch)\n",
    "                            new_pitch[ddx+1] += alt\n",
    "                            new_pitch_up = transpose_to_nearest(s_pitch, new_pitch)\n",
    "                            new_chord_up = list(chord)\n",
    "                            new_chord_up[sdx] = tuple(new_pitch_up)\n",
    "                            #print(\"here\")\n",
    "                            #print(new_pitch_up)\n",
    "                            #print(tuple(l[sdx] for l in last_chords))\n",
    "                            #print(new_pitch_up not in tuple(l[sdx] for l in last_chords))\n",
    "                            \n",
    "                            #if tuple(new_chord_up) != chord and (tuple(new_pitch_up) not in tuple(l[sdx] for l in last_chords)) and max(new_pitch_up[1:]) <= 1 and min(new_pitch_up[1:]) >= 0 and sum(new_pitch_up[1:]) <= 2:\n",
    "                            if tuple(new_chord_up) != chord and max(new_pitch_up[1:]) <= 1 and min(new_pitch_up[1:]) >= 0 and sum(new_pitch_up[1:]) <= 2:\n",
    "                            #if tuple(new_chord_up) != chord and tuple(new_pitch_up) not in tuple(l[sdx] for l in last_chords):\n",
    "                            #if tuple(new_chord_up) != chord:\n",
    "                                yield tuple(new_chord_up)\n",
    "\n",
    "                            new_pitch_down = list(new_pitch_up)\n",
    "                            new_pitch_down[0] += -1\n",
    "                            new_chord_down = list(chord)\n",
    "                            new_chord_down[sdx] = tuple(new_pitch_down)\n",
    "\n",
    "                            #print(\"here2\")\n",
    "                            #print(new_pitch_down)\n",
    "                            #print(tuple(l[sdx] for l in last_chords))\n",
    "                            #print(new_pitch_down not in tuple(l[sdx] for l in last_chords))\n",
    "                            #if tuple(new_chord_down) != chord:\n",
    "                            #if tuple(new_chord_down) != chord and new_pitch_down not in tuple(l[sdx] for l in last_chords):\n",
    "                            if tuple(new_chord_down) != chord and max(new_pitch_down[1:]) <= 1 and min(new_pitch_down[1:]) >= 0 and sum(new_pitch_up[1:]) <= 2:\n",
    "                            #if tuple(new_chord_down) != chord and (tuple(new_pitch_down) not in tuple(l[sdx] for l in last_chords)) and max(new_pitch_down[1:]) <= 1 and min(new_pitch_down[1:]) >= 0 and sum(new_pitch_up[1:]) <= 2:\n",
    "                                yield tuple(new_chord_down)\n",
    "\n",
    "    for candidate in gen_candidates(source, last_chords):\n",
    "\n",
    "        movements = {\n",
    "            pitch:\n",
    "            {\n",
    "                'destination': candidate[index], \n",
    "                'cent_difference': cent_difference(pitch, candidate[index])\n",
    "            } for index, pitch in enumerate(source)}\n",
    "        \n",
    "        yield (tuple(source), tuple(candidate), {'transposition': root, 'movements': movements},)\n",
    "\n",
    "\n",
    "# This is for the beginning / breysheet - redone to calculate next chord as a function and not from the graph\n",
    "def stochastic_hamiltonian(root):\n",
    "\n",
    "    #try making this omit the moving voice\n",
    "    def movement_size_weights(edges):\n",
    "        \n",
    "        def max_cent_diff(edge):\n",
    "            res = max([abs(v) for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None])\n",
    "            return res\n",
    "            \n",
    "        def min_cent_diff(edge):\n",
    "            res = [abs(v) for val in edge[2]['movements'].values()  if (v:=val['cent_difference']) is not None]\n",
    "            res.remove(0)\n",
    "            return min(res)\n",
    "            \n",
    "        for e in edges:\n",
    "            yield 100 if ((max_cent_diff(e) < 200) and (min_cent_diff(e)) >= 50) else 1/pow(1.1, max_cent_diff(e))\n",
    "\n",
    "    def hamiltonian_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 10 if e[1] not in [path_edge[0] for path_edge in path] else 1 / graph.nodes[e[1]]['count']\n",
    "    \n",
    "    def contrary_motion_weights(edges):\n",
    "\n",
    "        def is_contrary(edge):\n",
    "            cent_diffs = [v for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
    "            cent_diffs.sort()\n",
    "            return (cent_diffs[0] < 0) and (cent_diffs[1] == 0) and (cent_diffs[2] > 0)\n",
    "\n",
    "        for e in edges:\n",
    "            yield 2 if is_contrary(e) else 1\n",
    "    \n",
    "    def is_directly_tunable_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 10 if e[2]['is_directly_tunable'] else 1\n",
    "\n",
    "    def symdiff_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 1000 if e[2]['symmetric_difference'] == 2 else 1\n",
    "\n",
    "    def transposition_weight(edges):\n",
    "        for e in edges:\n",
    "            yield 100 if 0 <= hs_array_to_cents(e[2]['transposition']) < 100 else 1\n",
    "\n",
    "    def in_range(edges):\n",
    "        for e in edges:\n",
    "            s_chord = sorted(e[1], key=hs_array_to_fr)\n",
    "            yield 5 if hs_array_to_fr(sorted(e[1], key=hs_array_to_fr)[0]) >= 0.25 else 0\n",
    "\n",
    "    def hd_weight(edges):\n",
    "        for e in edges:\n",
    "            yield 100 * (1/pow(hd_sum(e[1]), 2))\n",
    "\n",
    "    def permission_weight(edges, allowed_ins):\n",
    "        print(\"here\")\n",
    "        print(allowed_ins)\n",
    "        print(\"---\")\n",
    "        for e in edges:\n",
    "            diff = [ibx for ibx, pitch in enumerate(e[0]) if pitch != e[1][ibx]][0]\n",
    "            yield 1 if diff in allowed_ins else 0\n",
    "\n",
    "    def dca_weight(edges, ins, last_chords):\n",
    "        for e in edges:\n",
    "            #print(tuple(e[1][ins]))\n",
    "            #print(ins)\n",
    "            #print(tuple(l[ins] for l in last_chords))\n",
    "            diff_e = [i for i, item in enumerate(e[0]) if item != e[1][i]][0]\n",
    "            if ins == diff_e:\n",
    "                yield 1\n",
    "            else:\n",
    "                yield 100 if tuple(e[1][diff_e]) not in tuple(l[diff_e] for l in last_chords) else 0\n",
    "\n",
    "    def is_sustained_voice(edges, voice):\n",
    "        \n",
    "        def is_sustained(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            return ordered_source[voice] == ordered_destination[voice]\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if is_sustained(e) else 1\n",
    "\n",
    "    def favor_bass(edges, ins):\n",
    "\n",
    "        def ins_check(edge, ins):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            if ins == 2:\n",
    "                return 1\n",
    "            elif ins == 1 and ordered_source[0] != ordered_destination[0]:\n",
    "                return 1\n",
    "            else:\n",
    "                return 0\n",
    "\n",
    "        for e in edges:\n",
    "            yield ins_check(e, ins)\n",
    "\n",
    "    def voice_crossing_weights(edges):\n",
    "        \n",
    "        def has_voice_crossing(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            source_order = [ordered_source.index(p) for p in source]\n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            destination_order = [ordered_destination.index(p) for p in destination]\n",
    "            return source_order != destination_order\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if not has_voice_crossing(e) else 0\n",
    "\n",
    "    def is_bass_rooted(chord):\n",
    "        return max([sum(abs(p) for p in collapse_pitch(pitch_difference(chord[0], p))) for p in chord[1:]]) == 1\n",
    "\n",
    "    def target_melody_weights(edges, target, c_devs, voice):\n",
    "\n",
    "        def target_weight(edge, target, c_devs, voice):\n",
    "            candidate_diffs = []\n",
    "            for idx, dev in enumerate(c_devs):\n",
    "                if(idx == voice):\n",
    "                    source = list(edge[0])\n",
    "                    ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "                    candidate_diff = edge[2]['movements'][ordered_source[idx]]['cent_difference']\n",
    "                    candidate_diffs += [abs(dev + candidate_diff - target)]\n",
    "            #return 1/pow(1.1, min(candidate_diffs))\n",
    "            return 100 if min(candidate_diffs) < 40 else 1/pow(1.1, min(candidate_diffs))\n",
    "            \n",
    "        for e in edges:\n",
    "            yield target_weight(e, target, c_devs, voice)\n",
    "        \n",
    "    #check_graph = graph.copy()\n",
    "    #next_node = choice(list(graph.nodes()))\n",
    "    next_node = ((-2, 0, 0, 0, 0, 0), (-1, 0, 0, 0, 0, 0), (-3, 0, 0, 0, 1, 0))\n",
    "    #check_graph.remove_node(next_node)\n",
    "    #for node in graph.nodes(data=True):\n",
    "    #    node[1]['count'] = 1\n",
    "    path = []\n",
    "    s_next_node = sorted(next_node, key=hs_array_to_fr)\n",
    "    last_chords = (tuple(s_next_node),)\n",
    "    c_devs = (cent_difference(s_next_node[2], s_next_node[0]), cent_difference(s_next_node[2], s_next_node[1]), 0,)\n",
    "    #c_devs = (0, cent_difference(s_next_node[0], s_next_node[1]), cent_difference(s_next_node[0], s_next_node[2]),)\n",
    "    print(c_devs)\n",
    "    #while (nx.number_of_nodes(check_graph) > 0) and (len(path) < len(target_melody_data)-1):\n",
    "    while (len(path) < len(target_melody_data)-1):\n",
    "        #out_edges = list(graph.out_edges(next_node, data=True))\n",
    "        out_edges = list(next_edges(next_node, last_chords))\n",
    "        target = target_melody_data[len(path)+1][-1]\n",
    "        ins = target_melody_data[len(path)+1][2]\n",
    "        print(target)\n",
    "        print(ins)\n",
    "        factors = [\n",
    "            movement_size_weights(out_edges), \n",
    "            #hamiltonian_weights(out_edges), \n",
    "            #contrary_motion_weights(out_edges), \n",
    "            #is_directly_tunable_weights(out_edges),\n",
    "            voice_crossing_weights(out_edges),\n",
    "            #transposition_weight(out_edges),\n",
    "            #is_sustained_voice(out_edges, 0),\n",
    "            target_melody_weights(out_edges, target, c_devs, ins),\n",
    "            #symdiff_weights(out_edges),\n",
    "            hd_weight(out_edges),\n",
    "            dca_weight(out_edges, ins, last_chords),\n",
    "            permission_weight(out_edges, target_melody_data[len(path)+1][3])\n",
    "            #favor_bass(out_edges, ins),\n",
    "            #in_range(out_edges)\n",
    "        ]\n",
    "        weights = [prod(a) for a in zip(*factors)]\n",
    "        if sum(weights) != 0:\n",
    "            edge = choices(out_edges, weights=weights)[0]\n",
    "        else:\n",
    "            movements = {\n",
    "                pitch:\n",
    "                    {\n",
    "                        'destination': pitch, \n",
    "                        'cent_difference': 0\n",
    "                    } for index, pitch in enumerate(edge[1])}\n",
    "            edge = (edge[1], edge[1], {'transposition': (0, 0, 0, 0, 0, 0), 'movements': movements},)\n",
    "        \n",
    "        next_node = edge[1]\n",
    "        last_chords = last_chords + (next_node,)\n",
    "        if len(last_chords) > 10:\n",
    "            last_chords = last_chords[-10:]\n",
    "        print(last_chords)\n",
    "        #node[1]['count'] += 1\n",
    "        path.append(edge)\n",
    "        s_chord = tuple(sorted(edge[0], key=hs_array_to_fr))\n",
    "        print(c_devs)\n",
    "        #for pdx, pitch in enumerate(s_chord):\n",
    "        #    print(\"here\")\n",
    "        #    print(c_devs[pdx])\n",
    "        #    print(edge[2]['movements'][pitch]['cent_difference'])\n",
    "        #    print(target_melody_data[len(path)][-1])\n",
    "        if sum(weights) != 0:\n",
    "            c_devs = tuple(c_devs[pdx] + edge[2]['movements'][pitch]['cent_difference'] - target_melody_data[len(path)][-1] for pdx, pitch in enumerate(s_chord))\n",
    "        print(s_chord)\n",
    "        print(edge[1])\n",
    "        print(c_devs)\n",
    "        print(target_melody_data[len(path)][2])\n",
    "        print(target_melody_data[len(path)][-1])\n",
    "        #if next_node in check_graph.nodes:\n",
    "        #    check_graph.remove_node(next_node)\n",
    "    return path"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "24267739-0381-4651-8804-4b4665592de2",
   "metadata": {},
   "source": [
    "#### cleanup (this is what is being used)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 533,
   "id": "81f20bd9-e87a-4918-a61b-27b04b6d5aee",
   "metadata": {},
   "outputs": [],
   "source": [
    "from random import choice, choices\n",
    "\n",
    "def path_to_chords(path, start_root):\n",
    "    current_root = start_root\n",
    "    start_chord = tuple(sorted(path[0][0], key=hs_array_to_fr))\n",
    "    chords = (start_chord,)\n",
    "    for edge in path:\n",
    "        chords += (edge[1],)\n",
    "    return chords\n",
    "    \n",
    "def next_edges(source, ins, dev_target):  \n",
    "\n",
    "    def transpose_to_nearest(hs_array1, hs_array2):\n",
    "        expanded_pitch = hs_array2\n",
    "        frequency_ratio = hs_array_to_fr(list(hs_array2)) / hs_array_to_fr(list(hs_array1))\n",
    "        if frequency_ratio < 1:\n",
    "            while frequency_ratio < 1:\n",
    "                frequency_ratio *= 2\n",
    "                expanded_pitch[0] += 1\n",
    "        elif frequency_ratio >= 2:\n",
    "            while frequency_ratio >= 2:\n",
    "                frequency_ratio *= 1/2\n",
    "                expanded_pitch[0] += -1\n",
    "        return tuple(expanded_pitch)\n",
    "\n",
    "\n",
    "    def gen_candidates(chord, ins, dev_target):\n",
    "        sustain = ((0, 0, 0, 0), (-1, 1, 0, 0),)\n",
    "        refs = chord\n",
    "        #if ins == 2:\n",
    "        refs += sustain\n",
    "        #if ins != 2:\n",
    "        #    sustain = sustain + (chord[2],)\n",
    "        for cdx, c_pitch in enumerate(sustain):\n",
    "            if True: \n",
    "                enumerator = c_pitch[1:] # if dev_target != None else c_pitch[1:-1]\n",
    "                for ddx, dim in enumerate(enumerator):\n",
    "                    alts = [-1, 1] # if dev_target != None else [1]\n",
    "                    for alt in alts:\n",
    "                        new_pitch = list(c_pitch)\n",
    "                        new_pitch[ddx+1] += alt\n",
    "                        s_pitch = chord[ins]\n",
    "                        new_pitch = transpose_to_nearest(s_pitch, new_pitch)\n",
    "                        for octave in range(-1, 2):\n",
    "                    \n",
    "                            f_new_pitch = list(new_pitch)\n",
    "                            f_new_pitch[0] += octave\n",
    "                            f_chord = list(chord)\n",
    "                            f_chord[ins] = tuple(f_new_pitch)\n",
    "\n",
    "                            limit_test_vals = [v for d in list(zip(*f_chord))[1:] for v in d]\n",
    "                            sum_test_vals = [sum(p[1:]) for p in f_chord]\n",
    "                            #if tuple(f_chord) != chord and chord and max(limit_test_vals) <= 2 and min(limit_test_vals) >= -2 and max(sum_test_vals) <= 4:\n",
    "                            if tuple(f_chord) != chord and max([abs(hs_array_to_cents(tp)) for tp in f_chord]) < 1200: # and len(set(f_chord)) == 3:\n",
    "                                #print(f_chord)\n",
    "                                yield tuple(f_chord)\n",
    "                                \n",
    "    for candidate in gen_candidates(source, ins, dev_target):\n",
    "        yield (tuple(source), tuple(candidate), tuple(cent_difference(pitch, candidate[index]) for index, pitch in enumerate(source)))\n",
    "\n",
    "def hd_sum(chord):\n",
    "    distances = []\n",
    "    size = len(chord)\n",
    "    for i in range(size):\n",
    "        for j in range(i+1, size):\n",
    "            distances += [sum([abs(dist) * log(dims[1:][idx], 2) for idx, dist in enumerate(pitch_difference(chord[i][1:], chord[j][1:]))])]\n",
    "    return sum(distances)\n",
    "\n",
    "# This is for the beginning / breysheet - redone to calculate next chord as a function and not from the graph\n",
    "def stochastic_hamiltonian(start_chord):\n",
    "\n",
    "    def movement_size_weights(edges, ins):\n",
    "        \n",
    "        def cent_diff(edge):\n",
    "            return abs(edge[2][ins])\n",
    "            \n",
    "        for e in edges:\n",
    "            yield 100 if (cent_diff(e) < 250) and (cent_diff(e) >= 50) else 1/pow(cent_diff(e), 1)\n",
    "\n",
    "    def in_range(edges):\n",
    "        for e in edges:\n",
    "            s_chord = sorted(e[1], key=hs_array_to_fr)\n",
    "            yield 1 if hs_array_to_fr(sorted(e[1], key=hs_array_to_fr)[0]) >= 0.25 else 0\n",
    "\n",
    "    def hd_weight(edges):\n",
    "        for e in edges:\n",
    "            cand_hd_sum = hd_sum(e[1])\n",
    "            yield (1/pow(cand_hd_sum, 2)) if cand_hd_sum > 0 else 0\n",
    "\n",
    "    def dca_weight(edges, ins, dev, last_chords):\n",
    "        for e in edges:\n",
    "            if False:\n",
    "                yield 1\n",
    "            else:\n",
    "                yield 5 if tuple(e[1][ins]) not in tuple(l[ins] for l in last_chords) else 0\n",
    "                #yield 5 if tuple(e[1][ins][1:]) not in tuple(p[1:] for chord in last_chords for p in chord) else 0\n",
    "\n",
    "    def voice_crossing_weights(edges):\n",
    "        \n",
    "        def has_voice_crossing(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            source_order = [ordered_source.index(p) for p in source]\n",
    "            destination = list(edge[1])\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            destination_order = [ordered_destination.index(p) for p in destination]\n",
    "            return source_order != destination_order\n",
    "\n",
    "        for e in edges:\n",
    "            yield 1 if not has_voice_crossing(e) else 0\n",
    "\n",
    "    def normalize_sum(array):\n",
    "        if sum(array) != 0:\n",
    "            return [val / sum(array) for val in array]\n",
    "        else:\n",
    "            return [0 for val in array]\n",
    "\n",
    "    def normalize(array):\n",
    "        if len(set(array)) > 1:\n",
    "            max_value = max(array)\n",
    "            min_value = min(array)\n",
    "            return [(((val - min_value) / (max_value - min_value)) * 0.9 + 0.1) for val in array]\n",
    "        else:\n",
    "            return [1 for val in array]\n",
    "\n",
    "    def registration_weights(edges):\n",
    "\n",
    "        def reg_min(edge):\n",
    "            # confusing naming convention I know\n",
    "            collapsed_chord = expand_chord(edge[1])\n",
    "            return min(hs_array_to_cents(pair[1]) - hs_array_to_cents(pair[0]) for pair in pairwise(sorted(collapsed_chord, key=hs_array_to_cents)))\n",
    "\n",
    "        return [10 if reg_min(e) > 270 else 1 for e in edges]\n",
    "\n",
    "    def target_melody_weights(edges, target_dev, c_devs, ins):\n",
    "\n",
    "        def candidate_diff(edge, target_dev, c_devs, ins): \n",
    "            if target_dev != None:\n",
    "                return abs(c_devs[ins] + edge[2][ins] - target_dev)\n",
    "            else:\n",
    "                return 1\n",
    "\n",
    "        if target_dev != None:\n",
    "            #for edge in edges:\n",
    "            #    print(edge[1])\n",
    "            #    print(candidate_diff(edge, target_dev, c_devs, ins))\n",
    "            diffs = [candidate_diff(edge, target_dev, c_devs, ins) for edge in edges]\n",
    "            min_diff = min(diffs)\n",
    "            #print([1 if diff == min_diff else 0 for diff in diffs])\n",
    "            return [1 if diff == min_diff else 0 for diff in diffs]\n",
    "        else:\n",
    "            return [1 for edge in edges]\n",
    "\n",
    "    next_node = start_chord\n",
    "    path = []\n",
    "    s_next_node = sorted(next_node, key=hs_array_to_fr)\n",
    "    last_chords = (tuple(s_next_node),)\n",
    "    unison = tuple(0 for p in start_chord[0])\n",
    "    c_devs = [cent_difference(s_next_node[2], s_next_node[0]), cent_difference(s_next_node[2], s_next_node[1]), 0]\n",
    "    #c_devs = (0, cent_difference(s_next_node[0], s_next_node[1]), cent_difference(s_next_node[0], s_next_node[2]),)\n",
    "    print(c_devs)\n",
    "    for dur, val, ins, dev in target_melody_data[1:]:\n",
    "        print(ins)\n",
    "        print(dev)\n",
    "        out_edges = list(next_edges(next_node, ins, dev))\n",
    "        print(\"here\")\n",
    "        #print(list(target_melody_weights(out_edges, dev, c_devs, ins)))\n",
    "        #print(max(list(target_melody_weights(out_edges, dev, c_devs, ins))))\n",
    "        factors = [\n",
    "            list(movement_size_weights(out_edges, ins)), \n",
    "            list(voice_crossing_weights(out_edges)),\n",
    "            list(target_melody_weights(out_edges, dev, c_devs, ins)),\n",
    "            list(hd_weight(out_edges)),\n",
    "            list(dca_weight(out_edges, ins, dev, last_chords)),\n",
    "            list(registration_weights(out_edges))\n",
    "        ]\n",
    "        weights = [1000, 0, 10, 1000, 10, 1000]\n",
    "        #if (ins == 2 and dev != None) or (ins != 2 and dev != None and choices([True, False], weights=[1,1])[0]):\n",
    "        if ins == 2: \n",
    "            skip_weights = [2, 0]\n",
    "        else:\n",
    "            skip_weights = [1, 2]\n",
    "        if (dev != None and choices([True, False], weights=skip_weights)[0]):\n",
    "            weights[0] = 0\n",
    "            weights[3] = 0\n",
    "            weights[4] = 0\n",
    "        else:\n",
    "            weights[2] = 0\n",
    "        #print(factors)\n",
    "        candidate_exists = sum([prod(a) for a in zip(*factors)]) != 0\n",
    "        candidate_exists = True\n",
    "        #print(\"here\")\n",
    "        #print(factors)\n",
    "        if candidate_exists: # and not (ins == 2 and dev == None):\n",
    "            #norm_weights = [prod(a) for a in zip(*[[(f / sum(factor)) * weights[ifx] if f != 0 else 0 for f in list(factor)] for ifx, factor in enumerate(factors) if weights[ifx] != 0])]\n",
    "            if False:\n",
    "                norm_weights = target_melody_weights(out_edges, dev, c_devs, ins)\n",
    "            else:\n",
    "                norm_weights = [prod(a) for a in zip(*[[nf * weights[ifx] for nf in list(factor)] for ifx, factor in enumerate(factors) if weights[ifx] != 0])]\n",
    "            #print(max(norm_weights))\n",
    "            #print(norm_weights)\n",
    "            edge = choices(out_edges, weights=norm_weights)[0]\n",
    "        else:\n",
    "            edge = (next_node, next_node, (0, 0, 0,))\n",
    "\n",
    "        if ins == 2 and dev == None:\n",
    "             edge = (next_node, next_node, (0, 0, 0,))\n",
    "        \n",
    "        next_node = edge[1]\n",
    "        last_chords = last_chords + (next_node,)\n",
    "        if len(last_chords) > 10:\n",
    "            last_chords = last_chords[-10:]\n",
    "            print(last_chords)\n",
    "        path.append(edge)\n",
    "        #s_chord = tuple(sorted(edge[0], key=hs_array_to_fr))\n",
    "        s_chord = edge[0]\n",
    "        print(c_devs)\n",
    "        if candidate_exists:\n",
    "            if dev != None:\n",
    "                c_devs = [c_devs[pdx] + edge[2][pdx] - dev for pdx, pitch in enumerate(s_chord)]\n",
    "            else:\n",
    "                c_devs[ins] += edge[2][ins]\n",
    "        print(s_chord)\n",
    "        print(edge[1])\n",
    "        print(c_devs)\n",
    "        print([hs_array_to_cents(pitch) for pitch in edge[0]])\n",
    "        print([hs_array_to_cents(pitch) for pitch in edge[1]])\n",
    "    return path"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3102630d-3e61-4653-8482-4e50e0e26858",
   "metadata": {},
   "source": [
    "### model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 534,
   "id": "8912c650-a43d-4539-ae24-b5acf9bc543d",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-701.9550008653874, -203.91000173077484, 0]\n",
      "2\n",
      "200.0\n",
      "here\n",
      "[-701.9550008653874, -203.91000173077484, 0]\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "[-901.9550008653874, -403.91000173077487, -17.596287865940013]\n",
      "[0.0, -498.04499913461257, 203.91000173077484]\n",
      "[0.0, -498.04499913461257, 386.3137138648348]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "[-901.9550008653874, -403.91000173077487, -17.596287865940013]\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-701.9550008653874, -203.91000173077487, 0.0]\n",
      "[0.0, -498.04499913461257, 386.3137138648348]\n",
      "[0.0, -498.04499913461257, 203.91000173077484]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "[-701.9550008653874, -203.91000173077487, 0.0]\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "[-501.95500086538743, -3.910001730774866, -3.9100017307748374]\n",
      "[0.0, -498.04499913461257, 203.91000173077484]\n",
      "[0.0, -498.04499913461257, 0.0]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "[-501.95500086538743, -3.910001730774866, -3.9100017307748374]\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-4, 1, 1, 0))\n",
      "[-401.95500086538743, 96.08999826922513, -15.641287000552609]\n",
      "[0.0, -498.04499913461257, 0.0]\n",
      "[0.0, -498.04499913461257, -111.73128526977777]\n",
      "1\n",
      "500.0\n",
      "here\n",
      "[-401.95500086538743, 96.08999826922513, -15.641287000552609]\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-4, 1, 1, 0))\n",
      "((0, 0, 0, 0), (1, 1, 0, -1), (-4, 1, 1, 0))\n",
      "[-901.9550008653874, -172.73590819989994, -515.6412870005527]\n",
      "[0.0, -498.04499913461257, -111.73128526977777]\n",
      "[0.0, -266.87090560373764, -111.73128526977777]\n",
      "2\n",
      "-400.0\n",
      "here\n",
      "[-901.9550008653874, -172.73590819989994, -515.6412870005527]\n",
      "((0, 0, 0, 0), (1, 1, 0, -1), (-4, 1, 1, 0))\n",
      "((0, 0, 0, 0), (1, 1, 0, -1), (0, 0, 0, 0))\n",
      "[-501.95500086538743, 227.26409180010006, -3.910001730774866]\n",
      "[0.0, -266.87090560373764, -111.73128526977777]\n",
      "[0.0, -266.87090560373764, 0.0]\n",
      "1\n",
      "200.0\n",
      "here\n",
      "[-501.95500086538743, 227.26409180010006, -3.910001730774866]\n",
      "((0, 0, 0, 0), (1, 1, 0, -1), (0, 0, 0, 0))\n",
      "((0, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0))\n",
      "[-701.9550008653874, -92.17871646099707, -203.91000173077487]\n",
      "[0.0, -266.87090560373764, 0.0]\n",
      "[0.0, -386.31371386483477, 0.0]\n",
      "2\n",
      "0.0\n",
      "here\n",
      "[-701.9550008653874, -92.17871646099707, -203.91000173077487]\n",
      "((0, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0))\n",
      "((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0))\n",
      "[-701.9550008653874, -92.17871646099707, -2.842170943040401e-14]\n",
      "[0.0, -386.31371386483477, 0.0]\n",
      "[0.0, -386.31371386483477, 203.91000173077484]\n",
      "2\n",
      "0.0\n",
      "here\n",
      "[-701.9550008653874, -92.17871646099707, -2.842170943040401e-14]\n",
      "((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0))\n",
      "((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1))\n",
      "[-701.9550008653874, -92.17871646099707, 27.26409180010012]\n",
      "[0.0, -386.31371386483477, 203.91000173077484]\n",
      "[0.0, -386.31371386483477, 231.17409353087498]\n",
      "2\n",
      "-300.0\n",
      "here\n",
      "(((0, 0, 0, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (1, 1, 0, -1), (-4, 1, 1, 0)), ((0, 0, 0, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)))\n",
      "[-701.9550008653874, -92.17871646099707, 27.26409180010012]\n",
      "((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1))\n",
      "((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "[-401.95500086538743, 207.82128353900293, -15.641287000552666]\n",
      "[0.0, -386.31371386483477, 231.17409353087498]\n",
      "[0.0, -386.31371386483477, -111.73128526977777]\n",
      "0\n",
      "500.0\n",
      "here\n",
      "(((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (1, 1, 0, -1), (-4, 1, 1, 0)), ((0, 0, 0, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)))\n",
      "[-401.95500086538743, 207.82128353900293, -15.641287000552666]\n",
      "((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "[-698.0449991346126, -292.17871646099707, -515.6412870005527]\n",
      "[0.0, -386.31371386483477, -111.73128526977777]\n",
      "[203.91000173077484, -386.31371386483477, -111.73128526977777]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((0, 0, 0, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (1, 1, 0, -1), (-4, 1, 1, 0)), ((0, 0, 0, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)))\n",
      "[-698.0449991346126, -292.17871646099707, -515.6412870005527]\n",
      "((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0))\n",
      "[-498.04499913461257, -92.17871646099707, -5.684341886080802e-14]\n",
      "[203.91000173077484, -386.31371386483477, -111.73128526977777]\n",
      "[203.91000173077484, -386.31371386483477, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((0, 0, 0, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (1, 1, 0, -1), (-4, 1, 1, 0)), ((0, 0, 0, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-498.04499913461257, -92.17871646099707, -5.684341886080802e-14]\n",
      "((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0))\n",
      "((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-498.04499913461257, 62.960903872962604, -5.684341886080802e-14]\n",
      "[203.91000173077484, -386.31371386483477, 203.91000173077484]\n",
      "[203.91000173077484, -231.1740935308751, 203.91000173077484]\n",
      "0\n",
      "0.0\n",
      "here\n",
      "(((0, 0, 0, 0), (1, 1, 0, -1), (-4, 1, 1, 0)), ((0, 0, 0, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-498.04499913461257, 62.960903872962604, -5.684341886080802e-14]\n",
      "((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-386.31371386483454, 62.960903872962604, -5.684341886080802e-14]\n",
      "[203.91000173077484, -231.1740935308751, 203.91000173077484]\n",
      "[315.6412870005529, -231.1740935308751, 203.91000173077484]\n",
      "2\n",
      "200.0\n",
      "here\n",
      "(((0, 0, 0, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)))\n",
      "[-386.31371386483454, 62.960903872962604, -5.684341886080802e-14]\n",
      "((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0))\n",
      "[-586.3137138648345, -137.0390961270374, -17.59628786594007]\n",
      "[315.6412870005529, -231.1740935308751, 203.91000173077484]\n",
      "[315.6412870005529, -231.1740935308751, 386.3137138648348]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((0, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)))\n",
      "[-586.3137138648345, -137.0390961270374, -17.59628786594007]\n",
      "((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0))\n",
      "((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0))\n",
      "[-586.3137138648345, 94.1349974038377, -17.59628786594007]\n",
      "[315.6412870005529, -231.1740935308751, 386.3137138648348]\n",
      "[315.6412870005529, 0.0, 386.3137138648348]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((0, 0, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)))\n",
      "[-586.3137138648345, 94.1349974038377, -17.59628786594007]\n",
      "((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0))\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0))\n",
      "[-586.3137138648345, 298.04499913461257, -17.59628786594007]\n",
      "[315.6412870005529, 0.0, 386.3137138648348]\n",
      "[315.6412870005529, 203.91000173077484, 386.3137138648348]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((0, 0, 0, 0), (2, 0, -1, 0), (3, 0, 0, -1)), ((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-586.3137138648345, 298.04499913461257, -17.59628786594007]\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0))\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-386.31371386483454, 498.04499913461257, -5.684341886080802e-14]\n",
      "[315.6412870005529, 203.91000173077484, 386.3137138648348]\n",
      "[315.6412870005529, 203.91000173077484, 203.91000173077484]\n",
      "1\n",
      "-200.0\n",
      "here\n",
      "(((0, 0, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)))\n",
      "[-386.31371386483454, 498.04499913461257, -5.684341886080802e-14]\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0))\n",
      "[-186.31371386483454, 809.7762844043906, 199.99999999999994]\n",
      "[315.6412870005529, 203.91000173077484, 203.91000173077484]\n",
      "[315.6412870005529, 315.6412870005529, 203.91000173077484]\n",
      "1\n",
      "-100.0\n",
      "here\n",
      "(((-3, 2, 0, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-186.31371386483454, 809.7762844043906, 199.99999999999994]\n",
      "((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0))\n",
      "((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-86.31371386483454, 96.08999826922513, 299.99999999999994]\n",
      "[315.6412870005529, 315.6412870005529, 203.91000173077484]\n",
      "[315.6412870005529, -498.04499913461257, 203.91000173077484]\n",
      "2\n",
      "400.0\n",
      "here\n",
      "(((-3, 2, 0, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)))\n",
      "[-86.31371386483454, 96.08999826922513, 299.99999999999994]\n",
      "((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0))\n",
      "[-486.31371386483454, -303.91000173077487, 11.731285269778027]\n",
      "[315.6412870005529, -498.04499913461257, 203.91000173077484]\n",
      "[315.6412870005529, -498.04499913461257, 315.6412870005529]\n",
      "2\n",
      "-400.0\n",
      "here\n",
      "(((-3, 2, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)))\n",
      "[-486.31371386483454, -303.91000173077487, 11.731285269778027]\n",
      "((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0))\n",
      "((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0))\n",
      "[-86.31371386483454, 96.08999826922513, -15.641287000552666]\n",
      "[315.6412870005529, -498.04499913461257, 315.6412870005529]\n",
      "[315.6412870005529, -498.04499913461257, -111.73128526977777]\n",
      "1\n",
      "100.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)))\n",
      "[-86.31371386483454, 96.08999826922513, -15.641287000552666]\n",
      "((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0))\n",
      "((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "[-186.31371386483454, 107.82128353900293, -115.64128700055267]\n",
      "[315.6412870005529, -498.04499913461257, -111.73128526977777]\n",
      "[315.6412870005529, -386.31371386483477, -111.73128526977777]\n",
      "2\n",
      "400.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)))\n",
      "[-186.31371386483454, 107.82128353900293, -115.64128700055267]\n",
      "((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0))\n",
      "[-586.3137138648345, -292.17871646099707, -17.5962878659401]\n",
      "[315.6412870005529, -386.31371386483477, -111.73128526977777]\n",
      "[315.6412870005529, -386.31371386483477, 386.3137138648348]\n",
      "1\n",
      "-200.0\n",
      "here\n",
      "(((1, 1, -1, 0), (0, 0, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)))\n",
      "[-586.3137138648345, -292.17871646099707, -17.5962878659401]\n",
      "((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0))\n",
      "((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0))\n",
      "[-386.31371386483454, 27.26409180010006, 182.4037121340599]\n",
      "[315.6412870005529, -386.31371386483477, 386.3137138648348]\n",
      "[315.6412870005529, -266.87090560373764, 386.3137138648348]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)))\n",
      "[-386.31371386483454, 27.26409180010006, 182.4037121340599]\n",
      "((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0))\n",
      "((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0))\n",
      "[-186.31371386483454, 227.26409180010006, -3.9100017307749226]\n",
      "[315.6412870005529, -266.87090560373764, 386.3137138648348]\n",
      "[315.6412870005529, -266.87090560373764, 0.0]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)))\n",
      "[-186.31371386483454, 227.26409180010006, -3.9100017307749226]\n",
      "((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0))\n",
      "((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0))\n",
      "[-31.17409353087504, 227.26409180010006, -3.9100017307749226]\n",
      "[315.6412870005529, -266.87090560373764, 0.0]\n",
      "[470.7809073345124, -266.87090560373764, 0.0]\n",
      "1\n",
      "200.0\n",
      "here\n",
      "(((1, 1, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)))\n",
      "[-31.17409353087504, 227.26409180010006, -3.9100017307749226]\n",
      "((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0))\n",
      "((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0))\n",
      "[-231.17409353087504, 182.4037121340599, -203.91000173077492]\n",
      "[470.7809073345124, -266.87090560373764, 0.0]\n",
      "[470.7809073345124, -111.73128526977777, 0.0]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)))\n",
      "[-231.17409353087504, 182.4037121340599, -203.91000173077492]\n",
      "((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0))\n",
      "((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0))\n",
      "[-315.6412870005526, 182.4037121340599, -203.91000173077492]\n",
      "[470.7809073345124, -111.73128526977777, 0.0]\n",
      "[386.3137138648348, -111.73128526977777, 0.0]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (-2, 1, 0, 0), (1, 1, -1, 0)), ((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)))\n",
      "[-315.6412870005526, 182.4037121340599, -203.91000173077492]\n",
      "((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0))\n",
      "((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0))\n",
      "[-203.91000173077498, 182.4037121340599, -203.91000173077492]\n",
      "[386.3137138648348, -111.73128526977777, 0.0]\n",
      "[498.04499913461245, -111.73128526977777, 0.0]\n",
      "0\n",
      "-200.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)))\n",
      "[-203.91000173077498, 182.4037121340599, -203.91000173077492]\n",
      "((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0))\n",
      "((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0))\n",
      "[200.0, 382.4037121340599, -3.9100017307749226]\n",
      "[498.04499913461245, -111.73128526977777, 0.0]\n",
      "[701.9550008653874, -111.73128526977777, 0.0]\n",
      "2\n",
      "300.0\n",
      "here\n",
      "(((1, 1, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)))\n",
      "[200.0, 382.4037121340599, -3.9100017307749226]\n",
      "((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0))\n",
      "((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0))\n",
      "[-100.0, 82.4037121340599, 11.73128526977797]\n",
      "[701.9550008653874, -111.73128526977777, 0.0]\n",
      "[701.9550008653874, -111.73128526977777, 315.6412870005529]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (2, 0, -1, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)))\n",
      "[-100.0, 82.4037121340599, 11.73128526977797]\n",
      "((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0))\n",
      "[-100.0, 194.13499740383767, 11.73128526977797]\n",
      "[701.9550008653874, -111.73128526977777, 315.6412870005529]\n",
      "[701.9550008653874, 0.0, 315.6412870005529]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "(((1, 1, -1, 0), (1, 1, 0, -1), (-2, 0, 1, 0)), ((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-100.0, 194.13499740383767, 11.73128526977797]\n",
      "((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[0.0, 294.1349974038377, -8.526512829121202e-14]\n",
      "[701.9550008653874, 0.0, 315.6412870005529]\n",
      "[701.9550008653874, 0.0, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[0.0, 294.1349974038377, -8.526512829121202e-14]\n",
      "((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[0.0, 498.04499913461257, -8.526512829121202e-14]\n",
      "[701.9550008653874, 0.0, 203.91000173077484]\n",
      "[701.9550008653874, 203.91000173077484, 203.91000173077484]\n",
      "0\n",
      "-300.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (1, 1, 0, -1), (0, 0, 0, 0)), ((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[0.0, 498.04499913461257, -8.526512829121202e-14]\n",
      "((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[411.7312852697779, 798.0449991346126, 299.9999999999999]\n",
      "[701.9550008653874, 203.91000173077484, 203.91000173077484]\n",
      "[813.6862861351653, 203.91000173077484, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-4, 1, 0, 1), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)))\n",
      "[411.7312852697779, 798.0449991346126, 299.9999999999999]\n",
      "((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0))\n",
      "[411.7312852697779, 909.7762844043906, 299.9999999999999]\n",
      "[813.6862861351653, 203.91000173077484, 203.91000173077484]\n",
      "[813.6862861351653, 315.6412870005529, 203.91000173077484]\n",
      "1\n",
      "0.0\n",
      "here\n",
      "(((-2, 0, 1, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)))\n",
      "[411.7312852697779, 909.7762844043906, 299.9999999999999]\n",
      "((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0))\n",
      "((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0))\n",
      "[411.7312852697779, 980.4487112686725, 299.9999999999999]\n",
      "[813.6862861351653, 315.6412870005529, 203.91000173077484]\n",
      "[813.6862861351653, 386.3137138648348, 203.91000173077484]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((2, -1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)))\n",
      "[411.7312852697779, 980.4487112686725, 299.9999999999999]\n",
      "((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0))\n",
      "((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1))\n",
      "[611.7312852697779, 1180.4487112686725, 29.219092665487437]\n",
      "[813.6862861351653, 386.3137138648348, 203.91000173077484]\n",
      "[813.6862861351653, 386.3137138648348, -266.87090560373764]\n",
      "0\n",
      "300.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (-4, 1, 1, 0), (0, 0, 0, 0)), ((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)))\n",
      "[611.7312852697779, 1180.4487112686725, 29.219092665487437]\n",
      "((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1))\n",
      "((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1))\n",
      "[-3.9100017307749795, 880.4487112686725, -270.78090733451256]\n",
      "[813.6862861351653, 386.3137138648348, -266.87090560373764]\n",
      "[498.04499913461245, 386.3137138648348, -266.87090560373764]\n",
      "0\n",
      "200.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (-4, 1, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)))\n",
      "[-3.9100017307749795, 880.4487112686725, -270.78090733451256]\n",
      "((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1))\n",
      "((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1))\n",
      "[0.0, 680.4487112686725, -470.78090733451256]\n",
      "[498.04499913461245, 386.3137138648348, -266.87090560373764]\n",
      "[701.9550008653874, 386.3137138648348, -266.87090560373764]\n",
      "2\n",
      "100.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)))\n",
      "[0.0, 680.4487112686725, -470.78090733451256]\n",
      "((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1))\n",
      "((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0))\n",
      "[-100.0, 580.4487112686725, 11.731285269777914]\n",
      "[701.9550008653874, 386.3137138648348, -266.87090560373764]\n",
      "[701.9550008653874, 386.3137138648348, 315.6412870005529]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)))\n",
      "[-100.0, 580.4487112686725, 11.731285269777914]\n",
      "((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0))\n",
      "[-100.0, 664.91590473835, 11.731285269777914]\n",
      "[701.9550008653874, 386.3137138648348, 315.6412870005529]\n",
      "[701.9550008653874, 470.7809073345124, 315.6412870005529]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)))\n",
      "[-100.0, 664.91590473835, 11.731285269777914]\n",
      "((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0))\n",
      "[-100.0, 896.0899982692251, 11.731285269777914]\n",
      "[701.9550008653874, 470.7809073345124, 315.6412870005529]\n",
      "[701.9550008653874, 701.9550008653874, 315.6412870005529]\n",
      "1\n",
      "-100.0\n",
      "here\n",
      "(((3, 0, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)))\n",
      "[-100.0, 896.0899982692251, 11.731285269777914]\n",
      "((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0))\n",
      "[0.0, 27.264091800100005, 111.73128526977791]\n",
      "[701.9550008653874, 701.9550008653874, 315.6412870005529]\n",
      "[701.9550008653874, -266.87090560373764, 315.6412870005529]\n",
      "0\n",
      "0.0\n",
      "here\n",
      "(((3, 0, -1, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)))\n",
      "[0.0, 27.264091800100005, 111.73128526977791]\n",
      "((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0))\n",
      "((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0))\n",
      "[-231.17409353087504, 27.264091800100005, 111.73128526977791]\n",
      "[701.9550008653874, -266.87090560373764, 315.6412870005529]\n",
      "[470.7809073345124, -266.87090560373764, 315.6412870005529]\n",
      "2\n",
      "600.0\n",
      "here\n",
      "(((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)))\n",
      "[-231.17409353087504, 27.264091800100005, 111.73128526977791]\n",
      "((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0))\n",
      "((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0))\n",
      "[-831.1740935308751, -572.7359081999, 9.776284404390367]\n",
      "[470.7809073345124, -266.87090560373764, 315.6412870005529]\n",
      "[470.7809073345124, -266.87090560373764, 813.6862861351653]\n",
      "2\n",
      "-400.0\n",
      "here\n",
      "(((3, 0, -1, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)))\n",
      "[-831.1740935308751, -572.7359081999, 9.776284404390367]\n",
      "((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0))\n",
      "((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0))\n",
      "[-431.1740935308751, -172.7359081999, -17.596287865940155]\n",
      "[470.7809073345124, -266.87090560373764, 813.6862861351653]\n",
      "[470.7809073345124, -266.87090560373764, 386.3137138648348]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((2, -1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)))\n",
      "[-431.1740935308751, -172.7359081999, -17.596287865940155]\n",
      "((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0))\n",
      "((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "[-431.1740935308751, -403.9100017307749, -17.596287865940155]\n",
      "[470.7809073345124, -266.87090560373764, 386.3137138648348]\n",
      "[470.7809073345124, -498.04499913461257, 386.3137138648348]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, 0, -1)), ((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)))\n",
      "[-431.1740935308751, -403.9100017307749, -17.596287865940155]\n",
      "((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0))\n",
      "[-431.1740935308751, -292.1787164609971, -17.596287865940155]\n",
      "[470.7809073345124, -498.04499913461257, 386.3137138648348]\n",
      "[470.7809073345124, -386.31371386483477, 386.3137138648348]\n",
      "1\n",
      "0.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (-2, 0, 1, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)))\n",
      "[-431.1740935308751, -292.1787164609971, -17.596287865940155]\n",
      "((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0))\n",
      "((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0))\n",
      "[-431.1740935308751, -137.03909612703745, -17.596287865940155]\n",
      "[470.7809073345124, -386.31371386483477, 386.3137138648348]\n",
      "[470.7809073345124, -231.1740935308751, 386.3137138648348]\n",
      "2\n",
      "400.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)))\n",
      "[-431.1740935308751, -137.03909612703745, -17.596287865940155]\n",
      "((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0))\n",
      "((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0))\n",
      "[-831.1740935308751, -537.0390961270375, 9.776284404390367]\n",
      "[470.7809073345124, -231.1740935308751, 386.3137138648348]\n",
      "[470.7809073345124, -231.1740935308751, 813.6862861351653]\n",
      "1\n",
      "-600.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)))\n",
      "[-831.1740935308751, -537.0390961270375, 9.776284404390367]\n",
      "((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0))\n",
      "((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0))\n",
      "[-231.1740935308751, 294.1349974038376, 609.7762844043904]\n",
      "[470.7809073345124, -231.1740935308751, 813.6862861351653]\n",
      "[470.7809073345124, 0.0, 813.6862861351653]\n",
      "2\n",
      "0.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-231.1740935308751, 294.1349974038376, 609.7762844043904]\n",
      "((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0))\n",
      "((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[-231.1740935308751, 294.1349974038376, -1.1368683772161603e-13]\n",
      "[470.7809073345124, 0.0, 813.6862861351653]\n",
      "[470.7809073345124, 0.0, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-4, 1, 0, 1), (1, 1, 0, -1), (1, 1, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-231.1740935308751, 294.1349974038376, -1.1368683772161603e-13]\n",
      "((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-231.1740935308751, 498.04499913461245, -1.1368683772161603e-13]\n",
      "[470.7809073345124, 0.0, 203.91000173077484]\n",
      "[470.7809073345124, 203.91000173077484, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-4, 1, 0, 1), (1, 1, 0, -1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-231.1740935308751, 498.04499913461245, -1.1368683772161603e-13]\n",
      "((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-5.684341886080802e-14, 498.04499913461245, -1.1368683772161603e-13]\n",
      "[470.7809073345124, 203.91000173077484, 203.91000173077484]\n",
      "[701.9550008653874, 203.91000173077484, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-4, 1, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)))\n",
      "[-5.684341886080802e-14, 498.04499913461245, -1.1368683772161603e-13]\n",
      "((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0))\n",
      "[-5.684341886080802e-14, 609.7762844043905, -1.1368683772161603e-13]\n",
      "[701.9550008653874, 203.91000173077484, 203.91000173077484]\n",
      "[701.9550008653874, 315.6412870005529, 203.91000173077484]\n",
      "1\n",
      "100.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-5.684341886080802e-14, 609.7762844043905, -1.1368683772161603e-13]\n",
      "((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-100.00000000000006, -37.03909612703751, -100.00000000000011]\n",
      "[701.9550008653874, 315.6412870005529, 203.91000173077484]\n",
      "[701.9550008653874, -231.1740935308751, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-4, 1, 0, 1), (2, 0, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-100.00000000000006, -37.03909612703751, -100.00000000000011]\n",
      "((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-303.91000173077504, -37.03909612703751, -100.00000000000011]\n",
      "[701.9550008653874, -231.1740935308751, 203.91000173077484]\n",
      "[498.04499913461245, -231.1740935308751, 203.91000173077484]\n",
      "1\n",
      "-400.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-3, 0, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-303.91000173077504, -37.03909612703751, -100.00000000000011]\n",
      "((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[96.08999826922496, 96.08999826922502, 299.9999999999999]\n",
      "[498.04499913461245, -231.1740935308751, 203.91000173077484]\n",
      "[498.04499913461245, -498.04499913461257, 203.91000173077484]\n",
      "0\n",
      "0.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-3, 0, 0, 1), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[96.08999826922496, 96.08999826922502, 299.9999999999999]\n",
      "((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-15.641287000552666, 96.08999826922502, 299.9999999999999]\n",
      "[498.04499913461245, -498.04499913461257, 203.91000173077484]\n",
      "[386.3137138648348, -498.04499913461257, 203.91000173077484]\n",
      "2\n",
      "500.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (0, 0, 0, 0), (3, 0, -1, 0)), ((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)))\n",
      "[-15.641287000552666, 96.08999826922502, 299.9999999999999]\n",
      "((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "[-515.6412870005527, -403.910001730775, -17.5962878659401]\n",
      "[386.3137138648348, -498.04499913461257, 203.91000173077484]\n",
      "[386.3137138648348, -498.04499913461257, 386.3137138648348]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-515.6412870005527, -403.910001730775, -17.5962878659401]\n",
      "((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-315.64128700055267, -203.91000173077498, -8.526512829121202e-14]\n",
      "[386.3137138648348, -498.04499913461257, 386.3137138648348]\n",
      "[386.3137138648348, -498.04499913461257, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-315.64128700055267, -203.91000173077498, -8.526512829121202e-14]\n",
      "((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-498.0449991346127, -203.91000173077498, -8.526512829121202e-14]\n",
      "[386.3137138648348, -498.04499913461257, 203.91000173077484]\n",
      "[203.91000173077484, -498.04499913461257, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-498.0449991346127, -203.91000173077498, -8.526512829121202e-14]\n",
      "((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-701.9550008653875, -203.91000173077498, -8.526512829121202e-14]\n",
      "[203.91000173077484, -498.04499913461257, 203.91000173077484]\n",
      "[0.0, -498.04499913461257, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-1, 1, 0, 0), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-701.9550008653875, -203.91000173077498, -8.526512829121202e-14]\n",
      "((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-813.6862861351653, -203.91000173077498, -8.526512829121202e-14]\n",
      "[0.0, -498.04499913461257, 203.91000173077484]\n",
      "[-111.73128526977777, -498.04499913461257, 203.91000173077484]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)))\n",
      "[-813.6862861351653, -203.91000173077498, -8.526512829121202e-14]\n",
      "((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "[-613.6862861351653, -3.9100017307749795, -3.9100017307749226]\n",
      "[-111.73128526977777, -498.04499913461257, 203.91000173077484]\n",
      "[-111.73128526977777, -498.04499913461257, 0.0]\n",
      "0\n",
      "200.0\n",
      "here\n",
      "(((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)))\n",
      "[-613.6862861351653, -3.9100017307749795, -3.9100017307749226]\n",
      "((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "[-933.1290943962626, -203.91000173077498, -203.91000173077492]\n",
      "[-111.73128526977777, -498.04499913461257, 0.0]\n",
      "[-231.1740935308751, -498.04499913461257, 0.0]\n",
      "2\n",
      "-300.0\n",
      "here\n",
      "(((2, -1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)))\n",
      "[-933.1290943962626, -203.91000173077498, -203.91000173077492]\n",
      "((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0))\n",
      "[-633.1290943962626, 96.08999826922502, -15.641287000552666]\n",
      "[-231.1740935308751, -498.04499913461257, 0.0]\n",
      "[-231.1740935308751, -498.04499913461257, -111.73128526977777]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)))\n",
      "[-633.1290943962626, 96.08999826922502, -15.641287000552666]\n",
      "((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0))\n",
      "((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0))\n",
      "[-633.1290943962626, 327.26409180009995, -15.641287000552666]\n",
      "[-231.1740935308751, -498.04499913461257, -111.73128526977777]\n",
      "[-231.1740935308751, -266.87090560373764, -111.73128526977777]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 0, 1, 0), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)))\n",
      "[-633.1290943962626, 327.26409180009995, -15.641287000552666]\n",
      "((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0))\n",
      "((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "[-633.1290943962626, 207.82128353900282, -15.641287000552666]\n",
      "[-231.1740935308751, -266.87090560373764, -111.73128526977777]\n",
      "[-231.1740935308751, -386.31371386483477, -111.73128526977777]\n",
      "0\n",
      "500.0\n",
      "here\n",
      "(((-2, 0, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)))\n",
      "[-633.1290943962626, 207.82128353900282, -15.641287000552666]\n",
      "((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "[-1288.2687147302222, -292.1787164609972, -515.6412870005527]\n",
      "[-231.1740935308751, -386.31371386483477, -111.73128526977777]\n",
      "[-386.31371386483477, -386.31371386483477, -111.73128526977777]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-3, 2, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)))\n",
      "[-1288.2687147302222, -292.1787164609972, -515.6412870005527]\n",
      "((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0))\n",
      "((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0))\n",
      "[-1288.2687147302222, -137.0390961270375, -515.6412870005527]\n",
      "[-386.31371386483477, -386.31371386483477, -111.73128526977777]\n",
      "[-386.31371386483477, -231.1740935308751, -111.73128526977777]\n",
      "1\n",
      "0.0\n",
      "here\n",
      "(((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)))\n",
      "[-1288.2687147302222, -137.0390961270375, -515.6412870005527]\n",
      "((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0))\n",
      "((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0))\n",
      "[-1288.2687147302222, 94.13499740383759, -515.6412870005527]\n",
      "[-386.31371386483477, -231.1740935308751, -111.73128526977777]\n",
      "[-386.31371386483477, 0.0, -111.73128526977777]\n",
      "2\n",
      "-400.0\n",
      "here\n",
      "(((-4, 1, 1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)))\n",
      "[-1288.2687147302222, 94.13499740383759, -515.6412870005527]\n",
      "((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0))\n",
      "((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0))\n",
      "[-888.2687147302222, 494.1349974038376, -3.910001730774866]\n",
      "[-386.31371386483477, 0.0, -111.73128526977777]\n",
      "[-386.31371386483477, 0.0, 0.0]\n",
      "0\n",
      "200.0\n",
      "here\n",
      "(((-4, 1, 1, 0), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)))\n",
      "[-888.2687147302222, 494.1349974038376, -3.910001730774866]\n",
      "((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0))\n",
      "((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0))\n",
      "[-1200.0, 294.1349974038376, -203.91000173077487]\n",
      "[-386.31371386483477, 0.0, 0.0]\n",
      "[-498.04499913461257, 0.0, 0.0]\n",
      "2\n",
      "0.0\n",
      "here\n",
      "(((-3, 0, 0, 1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-1200.0, 294.1349974038376, -203.91000173077487]\n",
      "((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0))\n",
      "((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[-1200.0, 294.1349974038376, -2.842170943040401e-14]\n",
      "[-498.04499913461257, 0.0, 0.0]\n",
      "[-498.04499913461257, 0.0, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-3, 0, 0, 1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)))\n",
      "[-1200.0, 294.1349974038376, -2.842170943040401e-14]\n",
      "((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0))\n",
      "[-1200.0, 182.40371213405982, -2.842170943040401e-14]\n",
      "[-498.04499913461257, 0.0, 203.91000173077484]\n",
      "[-498.04499913461257, -111.73128526977777, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-3, 0, 0, 1), (1, 1, 0, -1), (-4, 1, 1, 0)), ((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)))\n",
      "[-1200.0, 182.40371213405982, -2.842170943040401e-14]\n",
      "((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0))\n",
      "((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0))\n",
      "[-1200.0, 1382.4037121340598, -2.842170943040401e-14]\n",
      "[-498.04499913461257, -111.73128526977777, 203.91000173077484]\n",
      "[-498.04499913461257, 1088.2687147302222, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-3, 0, 0, 1), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-1200.0, 1382.4037121340598, -2.842170943040401e-14]\n",
      "((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0))\n",
      "((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-1200.0, 1262.9609038729625, -2.842170943040401e-14]\n",
      "[-498.04499913461257, 1088.2687147302222, 203.91000173077484]\n",
      "[-498.04499913461257, 968.8259064691249, 203.91000173077484]\n",
      "2\n",
      "200.0\n",
      "here\n",
      "(((2, 0, -1, 0), (2, 0, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)))\n",
      "[-1200.0, 1262.9609038729625, -2.842170943040401e-14]\n",
      "((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0))\n",
      "[-1400.0, 1062.9609038729625, -17.59628786594004]\n",
      "[-498.04499913461257, 968.8259064691249, 203.91000173077484]\n",
      "[-498.04499913461257, 968.8259064691249, 386.3137138648348]\n",
      "1\n",
      "-200.0\n",
      "here\n",
      "(((2, 0, -1, 0), (-3, 0, 0, 1), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)))\n",
      "[-1400.0, 1062.9609038729625, -17.59628786594004]\n",
      "((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0))\n",
      "((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0))\n",
      "[-1200.0, 1107.821283539003, 182.40371213405996]\n",
      "[-498.04499913461257, 968.8259064691249, 386.3137138648348]\n",
      "[-498.04499913461257, 813.6862861351653, 386.3137138648348]\n",
      "1\n",
      "-200.0\n",
      "here\n",
      "(((2, 0, -1, 0), (0, 0, 0, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)))\n",
      "[-1200.0, 1107.821283539003, 182.40371213405996]\n",
      "((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0))\n",
      "((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0))\n",
      "[-1000.0, 1196.089998269225, 382.40371213405996]\n",
      "[-498.04499913461257, 813.6862861351653, 386.3137138648348]\n",
      "[-498.04499913461257, 701.9550008653874, 386.3137138648348]\n",
      "2\n",
      "200.0\n",
      "here\n",
      "(((2, 0, -1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-1000.0, 1196.089998269225, 382.40371213405996]\n",
      "((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0))\n",
      "((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-1200.0, 996.0899982692249, -2.842170943040401e-14]\n",
      "[-498.04499913461257, 701.9550008653874, 386.3137138648348]\n",
      "[-498.04499913461257, 701.9550008653874, 203.91000173077484]\n",
      "2\n",
      "500.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)))\n",
      "[-1200.0, 996.0899982692249, -2.842170943040401e-14]\n",
      "((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0))\n",
      "[-1700.0, 496.0899982692249, -1.955000865387433]\n",
      "[-498.04499913461257, 701.9550008653874, 203.91000173077484]\n",
      "[-498.04499913461257, 701.9550008653874, 701.9550008653874]\n",
      "2\n",
      "100.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)))\n",
      "[-1700.0, 496.0899982692249, -1.955000865387433]\n",
      "((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0))\n",
      "((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0))\n",
      "[-1800.0, 396.0899982692249, 9.77628440439048]\n",
      "[-498.04499913461257, 701.9550008653874, 701.9550008653874]\n",
      "[-498.04499913461257, 701.9550008653874, 813.6862861351653]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 1, 0, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)))\n",
      "[-1800.0, 396.0899982692249, 9.77628440439048]\n",
      "((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0))\n",
      "((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0))\n",
      "[-1800.0, 164.91590473834987, 9.77628440439048]\n",
      "[-498.04499913461257, 701.9550008653874, 813.6862861351653]\n",
      "[-498.04499913461257, 470.7809073345124, 813.6862861351653]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (-3, 1, 1, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)))\n",
      "[-1800.0, 164.91590473834987, 9.77628440439048]\n",
      "((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0))\n",
      "((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
      "[-1700.0, 264.91590473834987, -1.955000865387433]\n",
      "[-498.04499913461257, 470.7809073345124, 813.6862861351653]\n",
      "[-498.04499913461257, 470.7809073345124, 701.9550008653874]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-2, 1, 0, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)))\n",
      "[-1700.0, 264.91590473834987, -1.955000865387433]\n",
      "((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
      "((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
      "[-1468.8259064691251, 264.91590473834987, -1.955000865387433]\n",
      "[-498.04499913461257, 470.7809073345124, 701.9550008653874]\n",
      "[-266.87090560373764, 470.7809073345124, 701.9550008653874]\n",
      "2\n",
      "-300.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (-2, 0, 0, 1), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)))\n",
      "[-1468.8259064691251, 264.91590473834987, -1.955000865387433]\n",
      "((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
      "((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0))\n",
      "[-1168.8259064691251, 564.9159047383498, -17.59628786594004]\n",
      "[-266.87090560373764, 470.7809073345124, 701.9550008653874]\n",
      "[-266.87090560373764, 470.7809073345124, 386.3137138648348]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 1, 0, 0), (3, 0, -1, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)))\n",
      "[-1168.8259064691251, 564.9159047383498, -17.59628786594004]\n",
      "((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0))\n",
      "((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0))\n",
      "[-1168.8259064691251, 409.7762844043903, -17.59628786594004]\n",
      "[-266.87090560373764, 470.7809073345124, 386.3137138648348]\n",
      "[-266.87090560373764, 315.6412870005529, 386.3137138648348]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-2, 1, 0, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)))\n",
      "[-1168.8259064691251, 409.7762844043903, -17.59628786594004]\n",
      "((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0))\n",
      "((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0))\n",
      "[-1013.6862861351652, 409.7762844043903, -17.59628786594004]\n",
      "[-266.87090560373764, 315.6412870005529, 386.3137138648348]\n",
      "[-111.73128526977777, 315.6412870005529, 386.3137138648348]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)))\n",
      "[-1013.6862861351652, 409.7762844043903, -17.59628786594004]\n",
      "((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0))\n",
      "((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0))\n",
      "[-1013.6862861351652, 480.44871126867224, -17.59628786594004]\n",
      "[-111.73128526977777, 315.6412870005529, 386.3137138648348]\n",
      "[-111.73128526977777, 386.3137138648348, 386.3137138648348]\n",
      "0\n",
      "-100.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)))\n",
      "[-1013.6862861351652, 480.44871126867224, -17.59628786594004]\n",
      "((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0))\n",
      "((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0))\n",
      "[11.731285269777914, 580.4487112686722, 82.40371213405996]\n",
      "[-111.73128526977777, 386.3137138648348, 386.3137138648348]\n",
      "[813.6862861351653, 386.3137138648348, 386.3137138648348]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)))\n",
      "[11.731285269777914, 580.4487112686722, 82.40371213405996]\n",
      "((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0))\n",
      "((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0))\n",
      "[111.73128526977791, 680.4487112686722, -2.842170943040401e-14]\n",
      "[813.6862861351653, 386.3137138648348, 386.3137138648348]\n",
      "[813.6862861351653, 386.3137138648348, 203.91000173077484]\n",
      "1\n",
      "100.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (-4, 1, 0, 1), (3, 0, -1, 0)), ((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[111.73128526977791, 680.4487112686722, -2.842170943040401e-14]\n",
      "((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0))\n",
      "((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[11.731285269777914, -37.03909612703774, -100.00000000000003]\n",
      "[813.6862861351653, 386.3137138648348, 203.91000173077484]\n",
      "[813.6862861351653, -231.1740935308751, 203.91000173077484]\n",
      "1\n",
      "-100.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)))\n",
      "[11.731285269777914, -37.03909612703774, -100.00000000000003]\n",
      "((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "[111.73128526977791, 27.26409180009972, -2.842170943040401e-14]\n",
      "[813.6862861351653, -231.1740935308751, 203.91000173077484]\n",
      "[813.6862861351653, -266.87090560373764, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, 0, -1), (-4, 1, 0, 1), (-1, 1, 0, 0)), ((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)))\n",
      "[111.73128526977791, 27.26409180009972, -2.842170943040401e-14]\n",
      "((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "[0.0, 27.26409180009972, -2.842170943040401e-14]\n",
      "[813.6862861351653, -266.87090560373764, 203.91000173077484]\n",
      "[701.9550008653874, -266.87090560373764, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, 0, -1), (-4, 1, 0, 1), (-2, 0, 1, 0)), ((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)))\n",
      "[0.0, 27.26409180009972, -2.842170943040401e-14]\n",
      "((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "[-203.91000173077498, 27.26409180009972, -2.842170943040401e-14]\n",
      "[701.9550008653874, -266.87090560373764, 203.91000173077484]\n",
      "[498.04499913461245, -266.87090560373764, 203.91000173077484]\n",
      "1\n",
      "0.0\n",
      "here\n",
      "(((1, 1, 0, -1), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-203.91000173077498, 27.26409180009972, -2.842170943040401e-14]\n",
      "((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-203.91000173077498, 62.96090387296226, -2.842170943040401e-14]\n",
      "[498.04499913461245, -266.87090560373764, 203.91000173077484]\n",
      "[498.04499913461245, -231.1740935308751, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-4, 1, 1, 0), (1, 1, -1, 0), (-2, 0, 1, 0)), ((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-203.91000173077498, 62.96090387296226, -2.842170943040401e-14]\n",
      "((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-386.31371386483454, 62.96090387296226, -2.842170943040401e-14]\n",
      "[498.04499913461245, -231.1740935308751, 203.91000173077484]\n",
      "[315.6412870005529, -231.1740935308751, 203.91000173077484]\n",
      "0\n",
      "-300.0\n",
      "here\n",
      "(((-4, 1, 1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-386.31371386483454, 62.96090387296226, -2.842170943040401e-14]\n",
      "((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[68.82590646912496, 362.96090387296226, 300.0]\n",
      "[315.6412870005529, -231.1740935308751, 203.91000173077484]\n",
      "[470.7809073345124, -231.1740935308751, 203.91000173077484]\n",
      "1\n",
      "100.0\n",
      "here\n",
      "(((3, 0, -1, 0), (-2, 0, 1, 0), (-2, 0, 1, 0)), ((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[68.82590646912496, 362.96090387296226, 300.0]\n",
      "((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-31.17409353087504, -3.910001730775207, 200.0]\n",
      "[470.7809073345124, -231.1740935308751, 203.91000173077484]\n",
      "[470.7809073345124, -498.04499913461257, 203.91000173077484]\n",
      "2\n",
      "400.0\n",
      "here\n",
      "(((3, 0, -1, 0), (-2, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)))\n",
      "[-31.17409353087504, -3.910001730775207, 200.0]\n",
      "((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "[-431.17409353087504, -403.9100017307752, -17.596287865939985]\n",
      "[470.7809073345124, -498.04499913461257, 203.91000173077484]\n",
      "[470.7809073345124, -498.04499913461257, 386.3137138648348]\n",
      "1\n",
      "-500.0\n",
      "here\n",
      "(((3, 0, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)))\n",
      "[-431.17409353087504, -403.9100017307752, -17.596287865939985]\n",
      "((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0))\n",
      "[68.82590646912496, -135.0840952616503, 482.40371213406]\n",
      "[470.7809073345124, -498.04499913461257, 386.3137138648348]\n",
      "[470.7809073345124, -729.2190926654877, 386.3137138648348]\n",
      "2\n",
      "300.0\n",
      "here\n",
      "(((3, 0, -1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)))\n",
      "[68.82590646912496, -135.0840952616503, 482.40371213406]\n",
      "((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0))\n",
      "((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0))\n",
      "[-231.17409353087504, -435.0840952616503, 0.0]\n",
      "[470.7809073345124, -729.2190926654877, 386.3137138648348]\n",
      "[470.7809073345124, -729.2190926654877, 203.91000173077484]\n",
      "1\n",
      "-500.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)))\n",
      "[-231.17409353087504, -435.0840952616503, 0.0]\n",
      "((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0))\n",
      "((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0))\n",
      "[268.82590646912496, -19.551288731327872, 500.0]\n",
      "[470.7809073345124, -729.2190926654877, 203.91000173077484]\n",
      "[470.7809073345124, -813.6862861351652, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((2, -1, 0, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)))\n",
      "[268.82590646912496, -19.551288731327872, 500.0]\n",
      "((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0))\n",
      "((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0))\n",
      "[29.21909266548755, -19.551288731327872, 500.0]\n",
      "[470.7809073345124, -813.6862861351652, 203.91000173077484]\n",
      "[231.17409353087498, -813.6862861351652, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((2, -1, 0, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)))\n",
      "[29.21909266548755, -19.551288731327872, 500.0]\n",
      "((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0))\n",
      "[184.3587129994474, -19.551288731327872, 500.0]\n",
      "[231.17409353087498, -813.6862861351652, 203.91000173077484]\n",
      "[386.3137138648348, -813.6862861351652, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)))\n",
      "[184.3587129994474, -19.551288731327872, 500.0]\n",
      "((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0))\n",
      "((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0))\n",
      "[1.9550008653874045, -19.551288731327872, 500.0]\n",
      "[386.3137138648348, -813.6862861351652, 203.91000173077484]\n",
      "[203.91000173077484, -813.6862861351652, 203.91000173077484]\n",
      "2\n",
      "200.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)))\n",
      "[1.9550008653874045, -19.551288731327872, 500.0]\n",
      "((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0))\n",
      "((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0))\n",
      "[-198.0449991346126, -219.55128873132787, -15.641287000552609]\n",
      "[203.91000173077484, -813.6862861351652, 203.91000173077484]\n",
      "[203.91000173077484, -813.6862861351652, -111.73128526977777]\n",
      "0\n",
      "500.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)))\n",
      "[-198.0449991346126, -219.55128873132787, -15.641287000552609]\n",
      "((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0))\n",
      "((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0))\n",
      "[-901.9550008653874, -719.5512887313279, -515.6412870005527]\n",
      "[203.91000173077484, -813.6862861351652, -111.73128526977777]\n",
      "[0.0, -813.6862861351652, -111.73128526977777]\n",
      "2\n",
      "-400.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)))\n",
      "[-901.9550008653874, -719.5512887313279, -515.6412870005527]\n",
      "((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0))\n",
      "((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0))\n",
      "[-501.95500086538743, -319.5512887313279, -3.910001730774866]\n",
      "[0.0, -813.6862861351652, -111.73128526977777]\n",
      "[0.0, -813.6862861351652, 0.0]\n",
      "0\n",
      "0.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-5, 1, 0, 1), (-2, 0, 1, 0)), ((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)))\n",
      "[-501.95500086538743, -319.5512887313279, -3.910001730774866]\n",
      "((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0))\n",
      "((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0))\n",
      "[-733.1290943962625, -319.5512887313279, -3.910001730774866]\n",
      "[0.0, -813.6862861351652, 0.0]\n",
      "[-231.1740935308751, -813.6862861351652, 0.0]\n",
      "2\n",
      "500.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-5, 1, 0, 1), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)))\n",
      "[-733.1290943962625, -319.5512887313279, -3.910001730774866]\n",
      "((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0))\n",
      "((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0))\n",
      "[-1233.1290943962626, -819.5512887313279, -5.865002596162412]\n",
      "[-231.1740935308751, -813.6862861351652, 0.0]\n",
      "[-231.1740935308751, -813.6862861351652, 498.04499913461245]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-4, 1, 0, 1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)))\n",
      "[-1233.1290943962626, -819.5512887313279, -5.865002596162412]\n",
      "((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0))\n",
      "((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0))\n",
      "[-1233.1290943962626, -1001.9550008653878, -5.865002596162412]\n",
      "[-231.1740935308751, -813.6862861351652, 498.04499913461245]\n",
      "[-231.1740935308751, -996.0899982692251, 498.04499913461245]\n",
      "2\n",
      "-500.0\n",
      "here\n",
      "(((3, 0, 0, -1), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)))\n",
      "[-1233.1290943962626, -1001.9550008653878, -5.865002596162412]\n",
      "((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0))\n",
      "((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0))\n",
      "[-733.1290943962626, -501.9550008653878, -3.910001730774866]\n",
      "[-231.1740935308751, -996.0899982692251, 498.04499913461245]\n",
      "[-231.1740935308751, -996.0899982692251, 0.0]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 0, 1, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)))\n",
      "[-733.1290943962626, -501.9550008653878, -3.910001730774866]\n",
      "((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0))\n",
      "((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0))\n",
      "[-733.1290943962626, -390.22371559560975, -3.910001730774866]\n",
      "[-231.1740935308751, -996.0899982692251, 0.0]\n",
      "[-231.1740935308751, -884.3587129994471, 0.0]\n",
      "1\n",
      "300.0\n",
      "here\n",
      "(((-3, 2, 0, 0), (-3, 0, 1, 0), (-3, 2, 0, 0)), ((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)))\n",
      "[-733.1290943962626, -390.22371559560975, -3.910001730774866]\n",
      "((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0))\n",
      "((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0))\n",
      "[-1033.1290943962626, -37.03909612703774, -303.91000173077487]\n",
      "[-231.1740935308751, -884.3587129994471, 0.0]\n",
      "[-231.1740935308751, -231.1740935308751, 0.0]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "(((-3, 2, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-1033.1290943962626, -37.03909612703774, -303.91000173077487]\n",
      "((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0))\n",
      "((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-933.1290943962626, 62.96090387296226, -2.842170943040401e-14]\n",
      "[-231.1740935308751, -231.1740935308751, 0.0]\n",
      "[-231.1740935308751, -231.1740935308751, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((0, 0, 0, 0), (-3, 0, 1, 0), (-4, 1, 1, 0)), ((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-933.1290943962626, 62.96090387296226, -2.842170943040401e-14]\n",
      "((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[-933.1290943962626, 294.13499740383736, -2.842170943040401e-14]\n",
      "[-231.1740935308751, -231.1740935308751, 203.91000173077484]\n",
      "[-231.1740935308751, 0.0, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((0, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-933.1290943962626, 294.13499740383736, -2.842170943040401e-14]\n",
      "((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[-813.6862861351653, 294.13499740383736, -2.842170943040401e-14]\n",
      "[-231.1740935308751, 0.0, 203.91000173077484]\n",
      "[-111.73128526977777, 0.0, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-3, 0, 0, 1), (-3, 0, 1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)))\n",
      "[-813.6862861351653, 294.13499740383736, -2.842170943040401e-14]\n",
      "((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0))\n",
      "[-813.6862861351653, 182.4037121340596, -2.842170943040401e-14]\n",
      "[-111.73128526977777, 0.0, 203.91000173077484]\n",
      "[-111.73128526977777, -111.73128526977777, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-3, 0, 0, 1), (-3, 0, 1, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)))\n",
      "[-813.6862861351653, 182.4037121340596, -2.842170943040401e-14]\n",
      "((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0))\n",
      "((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0))\n",
      "[-968.8259064691252, 182.4037121340596, -2.842170943040401e-14]\n",
      "[-111.73128526977777, -111.73128526977777, 203.91000173077484]\n",
      "[-266.87090560373764, -111.73128526977777, 203.91000173077484]\n",
      "2\n",
      "-300.0\n",
      "here\n",
      "(((-3, 0, 0, 1), (-4, 2, 0, 0), (2, -1, 0, 0)), ((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)))\n",
      "[-968.8259064691252, 182.4037121340596, -2.842170943040401e-14]\n",
      "((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0))\n",
      "((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0))\n",
      "[-668.8259064691252, 482.40371213405956, -15.641287000552666]\n",
      "[-266.87090560373764, -111.73128526977777, 203.91000173077484]\n",
      "[-266.87090560373764, -111.73128526977777, -111.73128526977777]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-3, 0, 0, 1), (-4, 2, 0, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)))\n",
      "[-668.8259064691252, 482.40371213405956, -15.641287000552666]\n",
      "((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0))\n",
      "((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0))\n",
      "[-900.0000000000002, 482.40371213405956, -15.641287000552666]\n",
      "[-266.87090560373764, -111.73128526977777, -111.73128526977777]\n",
      "[-498.04499913461257, -111.73128526977777, -111.73128526977777]\n",
      "1\n",
      "900.0\n",
      "here\n",
      "(((-3, 0, 0, 1), (0, 1, -1, 0), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)))\n",
      "[-900.0000000000002, 482.40371213405956, -15.641287000552666]\n",
      "((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0))\n",
      "((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0))\n",
      "[-1800.0000000000002, 9.776284404390253, -915.6412870005527]\n",
      "[-498.04499913461257, -111.73128526977777, -111.73128526977777]\n",
      "[-498.04499913461257, 315.6412870005529, -111.73128526977777]\n",
      "0\n",
      "-400.0\n",
      "here\n",
      "(((-3, 0, 0, 1), (-3, 0, 0, 1), (0, 0, 0, 0)), ((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)))\n",
      "[-1800.0000000000002, 9.776284404390253, -915.6412870005527]\n",
      "((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0))\n",
      "((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0))\n",
      "[-1288.2687147302224, 409.77628440439025, -515.6412870005527]\n",
      "[-498.04499913461257, 315.6412870005529, -111.73128526977777]\n",
      "[-386.31371386483477, 315.6412870005529, -111.73128526977777]\n",
      "1\n",
      "0.0\n",
      "here\n",
      "(((-3, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)))\n",
      "[-1288.2687147302224, 409.77628440439025, -515.6412870005527]\n",
      "((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0))\n",
      "((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0))\n",
      "[-1288.2687147302224, 325.30909093471234, -515.6412870005527]\n",
      "[-386.31371386483477, 315.6412870005529, -111.73128526977777]\n",
      "[-386.31371386483477, 231.17409353087498, -111.73128526977777]\n",
      "0\n",
      "-100.0\n",
      "here\n",
      "(((-3, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)))\n",
      "[-1288.2687147302224, 325.30909093471234, -515.6412870005527]\n",
      "((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0))\n",
      "((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0))\n",
      "[11.731285269777572, 425.30909093471234, -415.64128700055267]\n",
      "[-386.31371386483477, 231.17409353087498, -111.73128526977777]\n",
      "[813.6862861351653, 231.17409353087498, -111.73128526977777]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "(((-4, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)))\n",
      "[11.731285269777572, 425.30909093471234, -415.64128700055267]\n",
      "((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0))\n",
      "((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0))\n",
      "[111.73128526977757, 525.3090909347123, -5.684341886080802e-14]\n",
      "[813.6862861351653, 231.17409353087498, -111.73128526977777]\n",
      "[813.6862861351653, 231.17409353087498, 203.91000173077484]\n",
      "2\n",
      "200.0\n",
      "here\n",
      "(((-4, 1, 1, 0), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)))\n",
      "[111.73128526977757, 525.3090909347123, -5.684341886080802e-14]\n",
      "((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0))\n",
      "((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
      "[-88.26871473022243, 325.30909093471234, -17.59628786594007]\n",
      "[813.6862861351653, 231.17409353087498, 203.91000173077484]\n",
      "[813.6862861351653, 231.17409353087498, 386.3137138648348]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "(((1, 1, 0, -1), (-4, 1, 1, 0), (-3, 2, 0, 0)), ((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)))\n",
      "[-88.26871473022243, 325.30909093471234, -17.59628786594007]\n",
      "((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
      "((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0))\n",
      "[11.731285269777572, 425.30909093471234, 11.731285269777999]\n",
      "[813.6862861351653, 231.17409353087498, 386.3137138648348]\n",
      "[813.6862861351653, 231.17409353087498, 315.6412870005529]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, 0, -1), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)))\n",
      "[11.731285269777572, 425.30909093471234, 11.731285269777999]\n",
      "((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0))\n",
      "[-100.00000000000034, 425.30909093471234, 11.731285269777999]\n",
      "[813.6862861351653, 231.17409353087498, 315.6412870005529]\n",
      "[701.9550008653874, 231.17409353087498, 315.6412870005529]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 1, 0, 0), (-4, 1, 1, 0), (-4, 1, 1, 0)), ((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)))\n",
      "[-100.00000000000034, 425.30909093471234, 11.731285269777999]\n",
      "((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0))\n",
      "[-100.00000000000034, 194.13499740383736, 11.731285269777999]\n",
      "[701.9550008653874, 231.17409353087498, 315.6412870005529]\n",
      "[701.9550008653874, 0.0, 315.6412870005529]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "(((-2, 1, 0, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-100.00000000000034, 194.13499740383736, 11.731285269777999]\n",
      "((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[-3.410605131648481e-13, 294.13499740383736, -5.684341886080802e-14]\n",
      "[701.9550008653874, 0.0, 315.6412870005529]\n",
      "[701.9550008653874, 0.0, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((2, 0, -1, 0), (1, 1, -1, 0), (-4, 1, 1, 0)), ((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-3.410605131648481e-13, 294.13499740383736, -5.684341886080802e-14]\n",
      "((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[231.17409353087453, 294.13499740383736, -5.684341886080802e-14]\n",
      "[701.9550008653874, 0.0, 203.91000173077484]\n",
      "[933.1290943962623, 0.0, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((2, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[231.17409353087453, 294.13499740383736, -5.684341886080802e-14]\n",
      "((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[231.17409353087453, 62.96090387296226, -5.684341886080802e-14]\n",
      "[933.1290943962623, 0.0, 203.91000173077484]\n",
      "[933.1290943962623, -231.1740935308751, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((3, 0, -1, 0), (3, 0, 0, -1), (-4, 1, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[231.17409353087453, 62.96090387296226, -5.684341886080802e-14]\n",
      "((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[386.3137138648344, 62.96090387296226, -5.684341886080802e-14]\n",
      "[933.1290943962623, -231.1740935308751, 203.91000173077484]\n",
      "[1088.2687147302222, -231.1740935308751, 203.91000173077484]\n",
      "0\n",
      "0.0\n",
      "here\n",
      "(((3, 0, -1, 0), (3, 0, 0, -1), (-3, 2, 0, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[386.3137138648344, 62.96090387296226, -5.684341886080802e-14]\n",
      "((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[266.8709056037371, 62.96090387296226, -5.684341886080802e-14]\n",
      "[1088.2687147302222, -231.1740935308751, 203.91000173077484]\n",
      "[968.8259064691249, -231.1740935308751, 203.91000173077484]\n",
      "1\n",
      "600.0\n",
      "here\n",
      "(((3, 0, -1, 0), (3, 0, 0, -1), (-2, 0, 1, 0)), ((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)))\n",
      "[266.8709056037371, 62.96090387296226, -5.684341886080802e-14]\n",
      "((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0))\n",
      "[-333.1290943962629, 9.776284404390253, -600.0]\n",
      "[968.8259064691249, -231.1740935308751, 203.91000173077484]\n",
      "[968.8259064691249, 315.6412870005529, 203.91000173077484]\n",
      "2\n",
      "-700.0\n",
      "here\n",
      "(((3, 0, -1, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)))\n",
      "[-333.1290943962629, 9.776284404390253, -600.0]\n",
      "((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0))\n",
      "[366.8709056037371, 709.7762844043903, -103.91000173077487]\n",
      "[968.8259064691249, 315.6412870005529, 203.91000173077484]\n",
      "[968.8259064691249, 315.6412870005529, 0.0]\n",
      "1\n",
      "400.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (3, 0, 0, -1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)))\n",
      "[366.8709056037371, 709.7762844043903, -103.91000173077487]\n",
      "((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0))\n",
      "((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0))\n",
      "[-33.12909439626287, 464.9159047383498, -503.91000173077487]\n",
      "[968.8259064691249, 315.6412870005529, 0.0]\n",
      "[968.8259064691249, 470.7809073345124, 0.0]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (0, 0, 0, 0), (1, 1, -1, 0)), ((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)))\n",
      "[-33.12909439626287, 464.9159047383498, -503.91000173077487]\n",
      "((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0))\n",
      "((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0))\n",
      "[166.87090560373713, 664.9159047383498, 11.731285269778027]\n",
      "[968.8259064691249, 470.7809073345124, 0.0]\n",
      "[968.8259064691249, 470.7809073345124, 315.6412870005529]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-1, 1, 0, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)))\n",
      "[166.87090560373713, 664.9159047383498, 11.731285269778027]\n",
      "((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0))\n",
      "((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0))\n",
      "[11.731285269777572, 664.9159047383498, 11.731285269778027]\n",
      "[968.8259064691249, 470.7809073345124, 315.6412870005529]\n",
      "[813.6862861351653, 470.7809073345124, 315.6412870005529]\n",
      "1\n",
      "-100.0\n",
      "here\n",
      "(((2, 1, 0, -1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)))\n",
      "[11.731285269777572, 664.9159047383498, 11.731285269778027]\n",
      "((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0))\n",
      "((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0))\n",
      "[111.73128526977757, 996.0899982692249, 111.73128526977803]\n",
      "[813.6862861351653, 470.7809073345124, 315.6412870005529]\n",
      "[813.6862861351653, 701.9550008653874, 315.6412870005529]\n",
      "2\n",
      "0.0\n",
      "here\n",
      "(((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[111.73128526977757, 996.0899982692249, 111.73128526977803]\n",
      "((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0))\n",
      "((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[111.73128526977757, 996.0899982692249, -2.842170943040401e-14]\n",
      "[813.6862861351653, 701.9550008653874, 315.6412870005529]\n",
      "[813.6862861351653, 701.9550008653874, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[111.73128526977757, 996.0899982692249, -2.842170943040401e-14]\n",
      "((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-3.410605131648481e-13, 996.0899982692249, -2.842170943040401e-14]\n",
      "[813.6862861351653, 701.9550008653874, 203.91000173077484]\n",
      "[701.9550008653874, 701.9550008653874, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-2, 0, 0, 1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-3.410605131648481e-13, 996.0899982692249, -2.842170943040401e-14]\n",
      "((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[-203.91000173077532, 996.0899982692249, -2.842170943040401e-14]\n",
      "[701.9550008653874, 701.9550008653874, 203.91000173077484]\n",
      "[498.04499913461245, 701.9550008653874, 203.91000173077484]\n",
      "0\n",
      "-500.0\n",
      "here\n",
      "(((-2, 0, 0, 1), (1, 1, -1, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-203.91000173077532, 996.0899982692249, -2.842170943040401e-14]\n",
      "((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[184.35871299944705, 1496.089998269225, 500.0]\n",
      "[498.04499913461245, 701.9550008653874, 203.91000173077484]\n",
      "[386.3137138648348, 701.9550008653874, 203.91000173077484]\n",
      "2\n",
      "700.0\n",
      "here\n",
      "(((-2, 0, 0, 1), (1, 1, -1, 0), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)))\n",
      "[184.35871299944705, 1496.089998269225, 500.0]\n",
      "((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0))\n",
      "[-515.6412870005529, 796.0899982692249, -17.596287865939985]\n",
      "[386.3137138648348, 701.9550008653874, 203.91000173077484]\n",
      "[386.3137138648348, 701.9550008653874, 386.3137138648348]\n",
      "2\n",
      "-400.0\n",
      "here\n",
      "(((-2, 0, 0, 1), (-4, 1, 0, 1), (0, 0, 0, 0)), ((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)))\n",
      "[-515.6412870005529, 796.0899982692249, -17.596287865939985]\n",
      "((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0))\n",
      "((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0))\n",
      "[-115.6412870005529, 1196.089998269225, -3.910001730774809]\n",
      "[386.3137138648348, 701.9550008653874, 386.3137138648348]\n",
      "[386.3137138648348, 701.9550008653874, 0.0]\n",
      "0\n",
      "300.0\n",
      "here\n",
      "(((-2, 0, 0, 1), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)))\n",
      "[-115.6412870005529, 1196.089998269225, -3.910001730774809]\n",
      "((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0))\n",
      "((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0))\n",
      "[-486.3137138648348, 896.0899982692249, -303.9100017307748]\n",
      "[386.3137138648348, 701.9550008653874, 0.0]\n",
      "[315.6412870005529, 701.9550008653874, 0.0]\n",
      "2\n",
      "400.0\n",
      "here\n",
      "(((3, 0, -1, 0), (-4, 1, 0, 1), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)))\n",
      "[-486.3137138648348, 896.0899982692249, -303.9100017307748]\n",
      "((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0))\n",
      "((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0))\n",
      "[-886.3137138648349, 496.0899982692249, -1.955000865387376]\n",
      "[315.6412870005529, 701.9550008653874, 0.0]\n",
      "[315.6412870005529, 701.9550008653874, 701.9550008653874]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((3, 0, -1, 0), (-1, 1, 0, 0), (1, 1, -1, 0)), ((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)))\n",
      "[-886.3137138648349, 496.0899982692249, -1.955000865387376]\n",
      "((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0))\n",
      "((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0))\n",
      "[-886.3137138648349, 607.8212835390028, -1.955000865387376]\n",
      "[315.6412870005529, 701.9550008653874, 701.9550008653874]\n",
      "[315.6412870005529, 813.6862861351653, 701.9550008653874]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((3, 0, -1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)))\n",
      "[-886.3137138648349, 607.8212835390028, -1.955000865387376]\n",
      "((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0))\n",
      "((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0))\n",
      "[-886.3137138648349, 727.2640918000998, -1.955000865387376]\n",
      "[315.6412870005529, 813.6862861351653, 701.9550008653874]\n",
      "[315.6412870005529, 933.1290943962623, 701.9550008653874]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-1, 1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)))\n",
      "[-886.3137138648349, 727.2640918000998, -1.955000865387376]\n",
      "((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0))\n",
      "((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0))\n",
      "[-886.3137138648349, 882.4037121340597, -1.955000865387376]\n",
      "[315.6412870005529, 933.1290943962623, 701.9550008653874]\n",
      "[315.6412870005529, 1088.2687147302222, 701.9550008653874]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((2, -1, 0, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)))\n",
      "[-886.3137138648349, 882.4037121340597, -1.955000865387376]\n",
      "((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0))\n",
      "((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0))\n",
      "[-686.3137138648349, 1082.4037121340598, -5.8650025961623555]\n",
      "[315.6412870005529, 1088.2687147302222, 701.9550008653874]\n",
      "[315.6412870005529, 1088.2687147302222, 498.04499913461245]\n",
      "1\n",
      "-100.0\n",
      "here\n",
      "(((-2, 0, 1, 0), (-1, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)))\n",
      "[-686.3137138648349, 1082.4037121340598, -5.8650025961623555]\n",
      "((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0))\n",
      "((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0))\n",
      "[-586.3137138648349, 1062.9609038729625, 94.13499740383764]\n",
      "[315.6412870005529, 1088.2687147302222, 498.04499913461245]\n",
      "[315.6412870005529, 968.8259064691249, 498.04499913461245]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((-2, 0, 1, 0), (-1, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[-586.3137138648349, 1062.9609038729625, 94.13499740383764]\n",
      "((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0))\n",
      "((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[-386.3137138648349, 1262.9609038729625, 5.684341886080802e-14]\n",
      "[315.6412870005529, 968.8259064691249, 498.04499913461245]\n",
      "[315.6412870005529, 968.8259064691249, 203.91000173077484]\n",
      "1\n",
      "0.0\n",
      "here\n",
      "(((-2, 0, 1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-386.3137138648349, 1262.9609038729625, 5.684341886080802e-14]\n",
      "((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-386.3137138648349, 498.04499913461245, 5.684341886080802e-14]\n",
      "[315.6412870005529, 968.8259064691249, 203.91000173077484]\n",
      "[315.6412870005529, 203.91000173077484, 203.91000173077484]\n",
      "2\n",
      "200.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-1, 1, 0, 0), (0, 0, 0, 0)), ((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)))\n",
      "[-386.3137138648349, 498.04499913461245, 5.684341886080802e-14]\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0))\n",
      "[-586.3137138648349, 298.04499913461245, -17.596287865939956]\n",
      "[315.6412870005529, 203.91000173077484, 203.91000173077484]\n",
      "[315.6412870005529, 203.91000173077484, 386.3137138648348]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-1, 1, 0, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-586.3137138648349, 298.04499913461245, -17.596287865939956]\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0))\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-386.3137138648349, 498.04499913461245, 5.684341886080802e-14]\n",
      "[315.6412870005529, 203.91000173077484, 386.3137138648348]\n",
      "[315.6412870005529, 203.91000173077484, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (3, 0, -1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-386.3137138648349, 498.04499913461245, 5.684341886080802e-14]\n",
      "((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-315.64128700055295, 498.04499913461245, 5.684341886080802e-14]\n",
      "[315.6412870005529, 203.91000173077484, 203.91000173077484]\n",
      "[386.3137138648348, 203.91000173077484, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (2, 1, 0, -1), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-315.64128700055295, 498.04499913461245, 5.684341886080802e-14]\n",
      "((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-231.17409353087538, 498.04499913461245, 5.684341886080802e-14]\n",
      "[386.3137138648348, 203.91000173077484, 203.91000173077484]\n",
      "[470.7809073345124, 203.91000173077484, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 1, 1, 0), (-1, 1, 0, 0)), ((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-231.17409353087538, 498.04499913461245, 5.684341886080802e-14]\n",
      "((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-3.410605131648481e-13, 498.04499913461245, 5.684341886080802e-14]\n",
      "[470.7809073345124, 203.91000173077484, 203.91000173077484]\n",
      "[701.9550008653874, 203.91000173077484, 203.91000173077484]\n",
      "0\n",
      "300.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 1, 1, 0), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[-3.410605131648481e-13, 498.04499913461245, 5.684341886080802e-14]\n",
      "((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-33.12909439626287, 198.04499913461245, -299.99999999999994]\n",
      "[701.9550008653874, 203.91000173077484, 203.91000173077484]\n",
      "[968.8259064691249, 203.91000173077484, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (-2, 0, 0, 1), (2, -1, 0, 0)), ((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-33.12909439626287, 198.04499913461245, -299.99999999999994]\n",
      "((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[-33.12909439626287, -5.865002596162384, -299.99999999999994]\n",
      "[968.8259064691249, 203.91000173077484, 203.91000173077484]\n",
      "[968.8259064691249, 0.0, 203.91000173077484]\n",
      "0\n",
      "200.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-2, 0, 0, 1), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)))\n",
      "[-33.12909439626287, -5.865002596162384, -299.99999999999994]\n",
      "((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "[-113.68628613516557, -205.86500259616238, -499.99999999999994]\n",
      "[968.8259064691249, 0.0, 203.91000173077484]\n",
      "[1088.2687147302222, 0.0, 203.91000173077484]\n",
      "2\n",
      "-700.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)))\n",
      "[-113.68628613516557, -205.86500259616238, -499.99999999999994]\n",
      "((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0))\n",
      "((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0))\n",
      "[586.3137138648344, 494.1349974038376, -3.910001730774752]\n",
      "[1088.2687147302222, 0.0, 203.91000173077484]\n",
      "[1088.2687147302222, 0.0, 0.0]\n",
      "0\n",
      "800.0\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 2, 0, 0), (-2, 0, 1, 0)), ((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)))\n",
      "[586.3137138648344, 494.1349974038376, -3.910001730774752]\n",
      "((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0))\n",
      "((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0))\n",
      "[-368.82590646912547, -305.8650025961624, -803.9100017307748]\n",
      "[1088.2687147302222, 0.0, 0.0]\n",
      "[933.1290943962623, 0.0, 0.0]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((1, 1, -1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)))\n",
      "[-368.82590646912547, -305.8650025961624, -803.9100017307748]\n",
      "((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0))\n",
      "((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0))\n",
      "[-368.82590646912547, -74.69090906528743, -803.9100017307748]\n",
      "[933.1290943962623, 0.0, 0.0]\n",
      "[933.1290943962623, 231.17409353087498, 0.0]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 0, 1, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)))\n",
      "[-368.82590646912547, -74.69090906528743, -803.9100017307748]\n",
      "((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0))\n",
      "((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0))\n",
      "[-368.82590646912547, 9.77628440439048, -803.9100017307748]\n",
      "[933.1290943962623, 231.17409353087498, 0.0]\n",
      "[933.1290943962623, 315.6412870005529, 0.0]\n",
      "1\n",
      "-800.0\n",
      "here\n",
      "(((-4, 1, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)))\n",
      "[-368.82590646912547, 9.77628440439048, -803.9100017307748]\n",
      "((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0))\n",
      "((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "[431.17409353087453, -3.9100017307749795, -3.910001730774752]\n",
      "[933.1290943962623, 315.6412870005529, 0.0]\n",
      "[933.1290943962623, -498.04499913461257, 0.0]\n",
      "2\n",
      "-100.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)))\n",
      "[431.17409353087453, -3.9100017307749795, -3.910001730774752]\n",
      "((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0))\n",
      "[531.1740935308745, 96.08999826922502, -15.641287000552524]\n",
      "[933.1290943962623, -498.04499913461257, 0.0]\n",
      "[933.1290943962623, -498.04499913461257, -111.73128526977777]\n",
      "2\n",
      "300.0\n",
      "here\n",
      "(((-2, 0, 0, 1), (-3, 2, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[531.1740935308745, 96.08999826922502, -15.641287000552524]\n",
      "((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0))\n",
      "((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[231.17409353087453, -203.91000173077498, 1.1368683772161603e-13]\n",
      "[933.1290943962623, -498.04499913461257, -111.73128526977777]\n",
      "[933.1290943962623, -498.04499913461257, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-2, 0, 0, 1), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)))\n",
      "[231.17409353087453, -203.91000173077498, 1.1368683772161603e-13]\n",
      "((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0))\n",
      "[231.17409353087453, -407.82000346154996, 1.1368683772161603e-13]\n",
      "[933.1290943962623, -498.04499913461257, 203.91000173077484]\n",
      "[933.1290943962623, -701.9550008653875, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-3, 1, 1, 0), (0, 0, 0, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)))\n",
      "[231.17409353087453, -407.82000346154996, 1.1368683772161603e-13]\n",
      "((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0))\n",
      "((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0))\n",
      "[231.17409353087453, -590.2237155956095, 1.1368683772161603e-13]\n",
      "[933.1290943962623, -701.9550008653875, 203.91000173077484]\n",
      "[933.1290943962623, -884.3587129994471, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((-3, 1, 1, 0), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[231.17409353087453, -590.2237155956095, 1.1368683772161603e-13]\n",
      "((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0))\n",
      "((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[231.17409353087453, -701.9550008653875, 1.1368683772161603e-13]\n",
      "[933.1290943962623, -884.3587129994471, 203.91000173077484]\n",
      "[933.1290943962623, -996.0899982692251, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((2, 1, 0, -1), (0, 0, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)))\n",
      "[231.17409353087453, -701.9550008653875, 1.1368683772161603e-13]\n",
      "((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0))\n",
      "[-3.410605131648481e-13, -701.9550008653875, 1.1368683772161603e-13]\n",
      "[933.1290943962623, -996.0899982692251, 203.91000173077484]\n",
      "[701.9550008653874, -996.0899982692251, 203.91000173077484]\n",
      "1\n",
      "-300.0\n",
      "here\n",
      "(((2, 1, 0, -1), (3, 0, 0, -1), (0, 0, 0, 0)), ((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[-3.410605131648481e-13, -701.9550008653875, 1.1368683772161603e-13]\n",
      "((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0))\n",
      "((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[299.99999999999966, 96.08999826922502, 300.0000000000001]\n",
      "[701.9550008653874, -996.0899982692251, 203.91000173077484]\n",
      "[701.9550008653874, -498.04499913461257, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((2, 1, 0, -1), (1, 1, -1, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[299.99999999999966, 96.08999826922502, 300.0000000000001]\n",
      "((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[411.7312852697776, 96.08999826922502, 300.0000000000001]\n",
      "[701.9550008653874, -498.04499913461257, 203.91000173077484]\n",
      "[813.6862861351653, -498.04499913461257, 203.91000173077484]\n",
      "0\n",
      "500.0\n",
      "here\n",
      "(((2, 1, 0, -1), (-2, 1, 0, 0), (0, 0, 0, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)))\n",
      "[411.7312852697776, 96.08999826922502, 300.0000000000001]\n",
      "((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "[66.87090560373713, -403.910001730775, -199.9999999999999]\n",
      "[813.6862861351653, -498.04499913461257, 203.91000173077484]\n",
      "[968.8259064691249, -498.04499913461257, 203.91000173077484]\n",
      "2\n",
      "0.0\n",
      "here\n",
      "(((2, 1, 0, -1), (-2, 1, 0, 0), (-4, 1, 1, 0)), ((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)))\n",
      "[66.87090560373713, -403.910001730775, -199.9999999999999]\n",
      "((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
      "((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "[66.87090560373713, -403.910001730775, -17.5962878659399]\n",
      "[968.8259064691249, -498.04499913461257, 203.91000173077484]\n",
      "[968.8259064691249, -498.04499913461257, 386.3137138648348]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((2, 1, 0, -1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)))\n",
      "[66.87090560373713, -403.910001730775, -17.5962878659399]\n",
      "((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0))\n",
      "((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0))\n",
      "[66.87090560373713, -172.73590819990005, -17.5962878659399]\n",
      "[968.8259064691249, -498.04499913461257, 386.3137138648348]\n",
      "[968.8259064691249, -266.87090560373764, 386.3137138648348]\n",
      "2\n",
      "-200.0\n",
      "here\n",
      "(((2, 1, 0, -1), (1, -1, 0, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0)))\n",
      "[66.87090560373713, -172.73590819990005, -17.5962878659399]\n",
      "((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0))\n",
      "((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "[266.8709056037371, 27.264091800099948, 1.1368683772161603e-13]\n",
      "[968.8259064691249, -266.87090560373764, 386.3137138648348]\n",
      "[968.8259064691249, -266.87090560373764, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((2, 1, 0, -1), (0, 1, -1, 0), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)))\n",
      "[266.8709056037371, 27.264091800099948, 1.1368683772161603e-13]\n",
      "((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "((-3, 1, 1, 0), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "[386.3137138648344, 27.264091800099948, 1.1368683772161603e-13]\n",
      "[968.8259064691249, -266.87090560373764, 203.91000173077484]\n",
      "[1088.2687147302222, -266.87090560373764, 203.91000173077484]\n",
      "1\n",
      "None\n",
      "here\n",
      "(((2, 1, 0, -1), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (2, 0, -1, 0), (-3, 2, 0, 0)))\n",
      "[386.3137138648344, 27.264091800099948, 1.1368683772161603e-13]\n",
      "((-3, 1, 1, 0), (1, 1, 0, -1), (-3, 2, 0, 0))\n",
      "((-3, 1, 1, 0), (2, 0, -1, 0), (-3, 2, 0, 0))\n",
      "[386.3137138648344, -92.17871646099718, 1.1368683772161603e-13]\n",
      "[1088.2687147302222, -266.87090560373764, 203.91000173077484]\n",
      "[1088.2687147302222, -386.31371386483477, 203.91000173077484]\n",
      "1\n",
      "-200.0\n",
      "here\n",
      "(((-1, 1, 0, 0), (-4, 2, 0, 0), (-3, 2, 0, 0)), ((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[386.3137138648344, -92.17871646099718, 1.1368683772161603e-13]\n",
      "((-3, 1, 1, 0), (2, 0, -1, 0), (-3, 2, 0, 0))\n",
      "((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[586.3137138648344, 262.9609038729625, 200.0000000000001]\n",
      "[1088.2687147302222, -386.31371386483477, 203.91000173077484]\n",
      "[1088.2687147302222, -231.1740935308751, 203.91000173077484]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-1, 1, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)))\n",
      "[586.3137138648344, 262.9609038729625, 200.0000000000001]\n",
      "((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "[431.17409353087453, 262.9609038729625, 200.0000000000001]\n",
      "[1088.2687147302222, -231.1740935308751, 203.91000173077484]\n",
      "[933.1290943962623, -231.1740935308751, 203.91000173077484]\n",
      "2\n",
      "300.0\n",
      "here\n",
      "(((3, 0, -1, 0), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (1, 1, -1, 0)))\n",
      "[431.17409353087453, 262.9609038729625, 200.0000000000001]\n",
      "((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0))\n",
      "((2, 1, 0, -1), (-3, 0, 0, 1), (1, 1, -1, 0))\n",
      "[131.17409353087453, -37.03909612703751, 11.731285269778141]\n",
      "[933.1290943962623, -231.1740935308751, 203.91000173077484]\n",
      "[933.1290943962623, -231.1740935308751, 315.6412870005529]\n",
      "0\n",
      "None\n",
      "here\n",
      "(((-2, 0, 0, 1), (-2, 1, 0, 0), (-3, 2, 0, 0)), ((-2, 0, 0, 1), (-2, 1, 0, 0), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-2, 0, 1, 0)), ((-2, 0, 0, 1), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (1, 1, 0, -1), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (2, 0, -1, 0), (-3, 2, 0, 0)), ((-3, 1, 1, 0), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (-3, 2, 0, 0)), ((2, 1, 0, -1), (-3, 0, 0, 1), (1, 1, -1, 0)), ((-1, 1, 0, 0), (-3, 0, 0, 1), (1, 1, -1, 0)))\n",
      "[131.17409353087453, -37.03909612703751, 11.731285269778141]\n",
      "((2, 1, 0, -1), (-3, 0, 0, 1), (1, 1, -1, 0))\n",
      "((-1, 1, 0, 0), (-3, 0, 0, 1), (1, 1, -1, 0))\n",
      "[-100.00000000000034, -37.03909612703751, 11.731285269778141]\n",
      "[933.1290943962623, -231.1740935308751, 315.6412870005529]\n",
      "[701.9550008653874, -231.1740935308751, 315.6412870005529]\n"
     ]
    }
   ],
   "source": [
    "seed(19541116)\n",
    "factors = []\n",
    "dims = (2, 3, 5, 7)\n",
    "root = (0, 0, 0, 0)\n",
    "start_chord = ((0, 0, 0, 0), (-2, 1, 0, 0), (-3, 2, 0, 0))\n",
    "path = stochastic_hamiltonian(start_chord)\n",
    "#durs = tuple(round(y[0]-x[0], 2) for (x, y) in pairwise(target_melody_data)) + ((1,))\n",
    "durs = tuple(d[0] for d in target_melody_data)\n",
    "#path_to_chords(path, root)\n",
    "write_chord_sequence(list(zip(durs, path_to_chords(path, root))), \"breysheet.txt\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe46a139-9c18-4e18-98d2-5b34a2ffb6ee",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## graph based approach"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "046e48b9-7f25-4833-b0d9-c53963d164f4",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "### path functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 379,
   "id": "b0d17cc2-a181-4212-aba5-72b90cab2a84",
   "metadata": {},
   "outputs": [],
   "source": [
    "from random import choice, choices\n",
    "\n",
    "# This is for the beginning / breysheet\n",
    "def stochastic_hamiltonian(graph):\n",
    "\n",
    "    #try making this omit the moving voice\n",
    "    def movement_size_weights(edges):\n",
    "        \n",
    "        def max_cent_diff(edge):\n",
    "            res = max([abs(v) for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None])\n",
    "            return res\n",
    "            \n",
    "        def min_cent_diff(edge):\n",
    "            res = [abs(v) for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
    "            res.remove(0)\n",
    "            return min(res)\n",
    "            \n",
    "        for e in edges:\n",
    "            yield 4 if ((max_cent_diff(e) < 300) and (min_cent_diff(e)) >= 0) else 1\n",
    "\n",
    "    def hamiltonian_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 10 if e[1] not in [path_edge[0] for path_edge in path] else 1 / graph.nodes[e[1]]['count']\n",
    "    \n",
    "    def contrary_motion_weights(edges):\n",
    "\n",
    "        def is_contrary(edge):\n",
    "            cent_diffs = [v for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
    "            cent_diffs.sort()\n",
    "            return (cent_diffs[0] < 0) and (cent_diffs[1] == 0) and (cent_diffs[2] > 0)\n",
    "\n",
    "        for e in edges:\n",
    "            yield 2 if is_contrary(e) else 1\n",
    "    \n",
    "    def is_directly_tunable_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 10 if e[2]['is_directly_tunable'] else 1\n",
    "\n",
    "    def symdiff_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 1000 if e[2]['symmetric_difference'] == 2 else 1\n",
    "\n",
    "    def transposition_weight(edges):\n",
    "        for e in edges:\n",
    "            yield 100 if 0 <= hs_array_to_cents(e[2]['transposition']) < 100 else 1\n",
    "\n",
    "    def is_sustained_voice(edges, voice):\n",
    "        \n",
    "        def is_sustained(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            return ordered_source[voice] == ordered_destination[voice]\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if is_sustained(e) else 1\n",
    "\n",
    "    def voice_crossing_weights(edges):\n",
    "        \n",
    "        def has_voice_crossing(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            source_order = [ordered_source.index(p) for p in source]\n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            destination_order = [ordered_destination.index(p) for p in destination]\n",
    "            return source_order != destination_order\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if not has_voice_crossing(e) else 0\n",
    "\n",
    "    def is_bass_rooted(chord):\n",
    "        return max([sum(abs(p) for p in collapse_pitch(pitch_difference(chord[0], p))) for p in chord[1:]]) == 1\n",
    "\n",
    "    def target_melody_weights(edges, target, c_devs, voice):\n",
    "\n",
    "        def target_weight(edge, target, c_devs, voice):\n",
    "            candidate_diffs = []\n",
    "            for idx, dev in enumerate(c_devs):\n",
    "                if(idx == voice):\n",
    "                    source = list(edge[0])\n",
    "                    ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "                    candidate_diff = edge[2]['movements'][ordered_source[idx]]['cent_difference']\n",
    "                    candidate_diffs += [abs(dev + candidate_diff - target)]\n",
    "            #return 1/pow(1.1, min(candidate_diffs))\n",
    "            return 10 if min(candidate_diffs) < 40 else 1/pow(1.1, min(candidate_diffs))\n",
    "            \n",
    "        for e in edges:\n",
    "            yield target_weight(e, target, c_devs, voice)\n",
    "        \n",
    "    check_graph = graph.copy()\n",
    "    next_node = choice(list(graph.nodes()))\n",
    "    check_graph.remove_node(next_node)\n",
    "    for node in graph.nodes(data=True):\n",
    "        node[1]['count'] = 1\n",
    "    path = []\n",
    "    s_next_node = sorted(next_node, key=hs_array_to_fr)\n",
    "    c_devs = (cent_difference(s_next_node[2], s_next_node[0]), cent_difference(s_next_node[2], s_next_node[1]), 0,)\n",
    "    #c_devs = (0, cent_difference(s_next_node[0], s_next_node[1]), cent_difference(s_next_node[0], s_next_node[2]),)\n",
    "    print(c_devs)\n",
    "    while (nx.number_of_nodes(check_graph) > 0) and (len(path) < len(target_melody_data)-1):\n",
    "        out_edges = list(graph.out_edges(next_node, data=True))\n",
    "        factors = [\n",
    "            movement_size_weights(out_edges), \n",
    "            #hamiltonian_weights(out_edges), \n",
    "            #contrary_motion_weights(out_edges), \n",
    "            #is_directly_tunable_weights(out_edges),\n",
    "            voice_crossing_weights(out_edges),\n",
    "            #transposition_weight(out_edges),\n",
    "            #is_sustained_voice(out_edges, 0),\n",
    "            target_melody_weights(out_edges, target_melody_data[len(path)+1][-1], c_devs, 2),\n",
    "            #symdiff_weights(out_edges)\n",
    "        ]\n",
    "        weights = [prod(a) for a in zip(*factors)]\n",
    "        edge = choices(out_edges, weights=weights)[0]\n",
    "        next_node = edge[1]\n",
    "        node[1]['count'] += 1\n",
    "        path.append(edge)\n",
    "        s_chord = tuple(sorted(edge[0], key=hs_array_to_fr))\n",
    "        c_devs = tuple(c_devs[pdx] + edge[2]['movements'][pitch]['cent_difference'] - target_melody_data[len(path)][-1] for pdx, pitch in enumerate(s_chord))\n",
    "        print(s_chord)\n",
    "        print(c_devs)\n",
    "        print(target_melody_data[len(path)][-1])\n",
    "        if next_node in check_graph.nodes:\n",
    "            check_graph.remove_node(next_node)\n",
    "    return path"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e4318db-bd43-434a-8c27-5a110e0bd6c4",
   "metadata": {},
   "source": [
    "### model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 374,
   "id": "a8592bc9-7e9e-4b6a-9eaa-4c4e3b69ce91",
   "metadata": {},
   "outputs": [],
   "source": [
    "dims = (2, 3, 5, 7)\n",
    "root = (0, 0, 0, 0)\n",
    "chord = (root,)\n",
    "chord_set = chords(chord, root, 3, 3)\n",
    "graph = generate_graph(chord_set, 2, 2, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 380,
   "id": "be01e4ae-e629-42ff-9d95-f77d510c13bf",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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      "(-1527.045850782186, -1140.7321369173515, -642.6871377827388)\n",
      "200.0\n",
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      "-1600.0\n",
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      "100.0\n",
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      "(-1730.955852512961, -1415.3145655124085, -917.2695663777957)\n",
      "1700.0\n",
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      "(-1.6282793772431887, 384.68543448759146, 496.4167197573694)\n",
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      "(-1201.6282793772432, -815.3145655124085, -113.35956464702076)\n",
      "1200.0\n",
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      "(-701.6282793772432, -315.31456551240854, 0.32672148814447155)\n",
      "-500.0\n",
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      "(-101.62827937724319, 284.68543448759146, 396.4167197573695)\n",
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      "(-776.2107079723003, -389.8969941074656, -3.583280242630508)\n",
      "500.0\n",
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      "(-76.21070797230027, 310.1030058925344, 421.8342911623123)\n",
      "-700.0\n",
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      "(-291.851994972853, 410.1030058925344, 521.8342911623123)\n",
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      "-200.0\n",
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      "(-1991.851994972853, -1289.8969941074656, -1178.1657088376878)\n",
      "1900.0\n",
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      "(-1791.851994972853, -1089.8969941074656, -703.583280242631)\n",
      "-200.0\n",
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      "(-891.8519949728529, -189.89699410746562, 41.27709942340914)\n",
      "-900.0\n",
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      "(-791.8519949728529, -89.89699410746562, 21.834291162312184)\n",
      "-100.0\n",
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      "(-591.8519949728529, -276.21070797230016, 221.83429116231218)\n",
      "-200.0\n",
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      "(-691.8519949728529, -376.21070797230016, 10.10300589253427)\n",
      "100.0\n",
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      "(-1491.851994972853, -1176.2107079723, -678.1657088376878)\n",
      "800.0\n",
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      "(-891.8519949728529, -505.53828110801805, -78.16570883768782)\n",
      "-600.0\n",
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      "(-1591.851994972853, -1205.538281108018, -503.58328024263096)\n",
      "700.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
      "(-817.2695663777959, -705.538281108018, -3.5832802426309627)\n",
      "-500.0\n",
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      "(-1017.2695663777959, -630.955852512961, -203.58328024263096)\n",
      "200.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (3, 0, -1, 0))\n",
      "(-1717.2695663777959, -1330.955852512961, -629.0008516475741)\n",
      "700.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
      "(-1817.2695663777959, -1115.3145655124083, -729.0008516475741)\n",
      "100.0\n",
      "((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0))\n",
      "(-1113.359564647021, -615.3145655124083, -229.0008516475741)\n",
      "-500.0\n",
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      "(-513.359564647021, -15.314565512408308, 215.8595280184661)\n",
      "-600.0\n",
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      "(-652.9663784506586, 84.68543448759169, 315.8595280184661)\n",
      "-100.0\n",
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      "(-1052.9663784506586, -786.095472846921, -84.14047198153389)\n",
      "400.0\n",
      "((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1))\n",
      "(-697.8267581166988, -586.095472846921, 115.85952801846611)\n",
      "-200.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
      "(-797.8267581166988, -566.6526645858237, 15.859528018466108)\n",
      "100.0\n",
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      "(-697.8267581166988, -466.6526645858237, 4.128242748688194)\n",
      "-100.0\n",
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      "(-397.8267581166988, -166.6526645858237, -11.513044251864414)\n",
      "-300.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
      "(-1097.8267581166988, -866.6526645858237, -52.96637845065902)\n",
      "700.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, -1, -1))\n",
      "(-1221.7922849197837, -1066.6526645858237, -252.96637845065902)\n",
      "200.0\n",
      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 0, 1))\n",
      "(-1121.7922849197837, -854.9213793160461, -152.96637845065902)\n",
      "-100.0\n",
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      "(-1021.7922849197837, -790.6181913889084, -52.96637845065902)\n",
      "-100.0\n",
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      "(-1221.7922849197837, -990.6181913889084, -176.9319052537437)\n",
      "200.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, -1, -1))\n",
      "(-1245.7578117228686, -1090.6181913889084, -276.9319052537437)\n",
      "100.0\n",
      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 0, 1))\n",
      "(-1421.7922849197837, -1190.6181913889084, -376.9319052537437)\n",
      "100.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, -1, -1))\n",
      "(-1121.7922849197837, -308.105998784618, -76.93190525374371)\n",
      "-300.0\n",
      "((0, 0, 0, 0), (3, 0, -1, 0), (6, 0, -1, -1))\n",
      "(-1210.060999650006, -508.105998784618, -276.9319052537437)\n",
      "200.0\n",
      "((0, 0, 0, 0), (-1, 1, 0, 0), (2, 1, 0, -1))\n",
      "(-710.0609996500059, -8.10599878461801, 103.62528648515934)\n",
      "-500.0\n",
      "((0, 0, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0))\n",
      "(-1410.060999650006, -708.105998784618, -321.7922849197838)\n",
      "700.0\n",
      "((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0))\n",
      "(-510.0609996500059, 191.894001215382, 303.62528648515934)\n",
      "-900.0\n",
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      "(-610.0609996500059, -498.32971438022764, 203.62528648515934)\n",
      "100.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
      "(-1210.060999650006, -823.7472857851706, -396.37471351484066)\n",
      "600.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (3, 0, -1, 0))\n",
      "(-410.0609996500059, -23.74728578517056, 87.98399948460644)\n",
      "-800.0\n",
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      "(-310.0609996500059, -43.19009404626809, 187.98399948460644)\n",
      "-100.0\n",
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      "(-241.23509318088088, 256.8099059537319, 487.98399948460644)\n",
      "-300.0\n",
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      "(-1241.235093180881, -743.1900940462681, -245.14509491165597)\n",
      "1000.0\n",
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      "(-1229.5038079111032, -843.1900940462681, -345.145094911656)\n",
      "100.0\n",
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      "(-1429.5038079111032, -1043.190094046268, -341.2350931808811)\n",
      "200.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
      "(-1174.3641875771434, -943.1900940462681, -241.2350931808811)\n",
      "-100.0\n",
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      "(-674.3641875771434, -443.1900940462681, 27.59081328824402)\n",
      "-500.0\n",
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      "(-474.3641875771434, -243.1900940462681, 23.680811557469042)\n",
      "-200.0\n",
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      "(-1274.3641875771434, -1043.190094046268, -229.5038079111032)\n",
      "800.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, -1, -1))\n",
      "(-1298.3297143802283, -1143.190094046268, -329.5038079111032)\n",
      "100.0\n",
      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 0, 1))\n",
      "(-98.32971438022832, 56.80990595373191, 287.9839994846068)\n",
      "-1200.0\n",
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      "(-898.3297143802283, -743.1900940462681, 70.4961920888968)\n",
      "800.0\n",
      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 0, 1))\n",
      "(101.67028561977168, 256.8099059537319, 487.9839994846068)\n",
      "-1000.0\n",
      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 1, 0))\n",
      "(-756.8763801814338, 56.80990595373191, 287.9839994846068)\n",
      "200.0\n",
      "((0, 0, 0, 0), (3, 0, -1, 0), (6, 0, -1, -1))\n",
      "(-1710.0609996500057, -1443.190094046268, -1212.0160005153932)\n",
      "1500.0\n",
      "((0, 0, 0, 0), (-1, -1, 0, 1), (2, -1, 0, 0))\n",
      "(-541.2350931808805, -43.19009404626809, 187.98399948460678)\n",
      "-1400.0\n",
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      "(-1741.2350931808805, -1243.190094046268, -745.1450949116556)\n",
      "1200.0\n",
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      "(-1347.100095777043, -1143.190094046268, -645.1450949116556)\n",
      "-100.0\n",
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      "(-241.23509318088054, 256.8099059537319, 754.8549050883444)\n",
      "-1400.0\n",
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      "(-1258.8313810468205, -943.1900940462681, -445.14509491165563)\n",
      "1200.0\n",
      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
      "(-758.8313810468205, -372.5176671819861, 54.85490508834437)\n",
      "-500.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (3, 0, -1, 0))\n",
      "(-858.8313810468205, -472.5176671819861, 25.527331952626355)\n",
      "100.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (0, -1, 1, 0))\n",
      "(-1458.8313810468205, -1072.517667181986, -370.5626663165988)\n",
      "600.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
      "(-1139.3885727857232, -872.5176671819861, -170.56266631659878)\n",
      "-200.0\n",
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      "(-239.38857278572323, 27.4823328180139, 258.6564263488888)\n",
      "-900.0\n",
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      "(296.30823928713926, 527.4823328180139, 758.6564263488888)\n",
      "-500.0\n",
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      "(-903.6917607128607, -672.5176671819861, 29.437333683400993)\n",
      "1200.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (2, 1, 0, -1))\n",
      "(396.30823928713926, 627.4823328180139, 782.6219531519735)\n",
      "-1300.0\n",
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      "(-803.6917607128607, -572.5176671819861, 9.994525422303923)\n",
      "1200.0\n",
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      "(-403.69176071286074, -172.5176671819861, -17.3780468480266)\n",
      "-400.0\n",
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      "(-1103.6917607128607, -872.5176671819861, -58.83138104682121)\n",
      "700.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, -1, -1))\n",
      "(296.30823928713926, 527.4823328180139, 682.6219531519735)\n",
      "-1400.0\n",
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      "(-103.69176071286074, 51.4478596210987, 282.62195315197346)\n",
      "400.0\n",
      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 1, 0))\n",
      "(-219.33304771341363, 251.4478596210987, 482.62195315197346)\n",
      "-200.0\n",
      "((0, 0, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
      "(-1519.3330477134136, -1048.5521403789012, -550.5071412442891)\n",
      "1300.0\n",
      "((0, 0, 0, 0), (-4, 1, 0, 1), (-2, 0, 0, 1))\n",
      "(-719.3330477134136, -248.55214037890119, -17.378046848026543)\n",
      "-800.0\n",
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      "(-819.3330477134136, -503.6917607128607, -117.37804684802654)\n",
      "100.0\n",
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      "(-1519.3330477134136, -1203.6917607128607, -705.6467615782486)\n",
      "700.0\n",
      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
      "(-1419.3330477134136, -1033.0193338485788, -605.6467615782486)\n",
      "-100.0\n",
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      "(-719.3330477134136, -333.01933384857875, -17.378046848026543)\n",
      "-700.0\n",
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      "(-1519.3330477134136, -1133.0193338485788, -431.0643329831918)\n",
      "800.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
      "(-919.3330477134136, -533.0193338485788, -34.97433471396664)\n",
      "-600.0\n",
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      "(-819.3330477134136, -433.01933384857875, -5.646761578248629)\n",
      "-100.0\n",
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      "(-119.33304771341363, 266.98066615142125, 378.7119514211985)\n",
      "-700.0\n",
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      "(-319.33304771341363, -88.1589541825386, 178.71195142119848)\n",
      "200.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (2, -1, 0, 0))\n",
      "(-419.33304771341363, -188.1589541825386, -33.01933384857915)\n",
      "100.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
      "(-719.3330477134136, -488.1589541825386, -17.378046848026543)\n",
      "300.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (-1, 1, 0, 0))\n",
      "(-519.3330477134136, -288.1589541825386, -21.288048578801522)\n",
      "-200.0\n",
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      "(-219.33304771341363, 11.841045817461406, 166.98066615142085)\n",
      "-300.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
      "(-619.3330477134136, -388.1589541825386, -1.845240317704338)\n",
      "400.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (1, 0, 1, -1))\n",
      "(-499.8902394523164, -388.1589541825386, -1.845240317704338)\n",
      "0.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (2, -1, 0, 0))\n",
      "(-699.8902394523163, -588.1589541825385, 113.79604668284856)\n",
      "200.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
      "(-599.8902394523163, -488.15895418253854, -101.84524031770434)\n",
      "-100.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (2, -1, 0, 0))\n",
      "(-699.8902394523163, -588.1589541825385, 113.79604668284856)\n",
      "100.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
      "(-599.8902394523163, -488.15895418253854, -101.84524031770434)\n",
      "-100.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (2, -1, 0, 0))\n",
      "(-699.8902394523163, -588.1589541825385, 113.79604668284856)\n",
      "100.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
      "(-599.8902394523163, -488.15895418253854, -101.84524031770434)\n",
      "-100.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (2, -1, 0, 0))\n",
      "(-574.4726680473734, -188.15895418253854, 198.15475968229566)\n",
      "-300.0\n",
      "(1.525, 0.425, 1.225, 0.65, 0.375, 0.65, 0.175, 0.925, 0.4, 0.4, 0.7, 0.25, 0.625, 0.1, 1.175, 0.475, 0.1, 0.225, 0.625, 0.525, 0.2, 0.625, 0.05, 0.175, 0.65, 1.0, 0.075, 0.075, 1.2, 0.525, 0.3, 0.075, 1.225, 0.325, 0.3, 0.15, 0.075, 0.525, 0.225, 2.275, 0.125, 0.025, 0.225, 0.025, 0.125, 0.25, 0.25, 0.8, 0.125, 0.325, 0.275, 0.375, 0.425, 0.125, 1.1, 0.375, 0.05, 0.1, 0.4, 1.15, 0.15, 0.1, 0.075, 0.75, 0.575, 0.05, 0.325, 0.9, 0.375, 0.575, 0.05, 0.125, 0.075, 0.125, 0.4, 0.275, 0.125, 0.525, 0.65, 0.975, 0.725, 0.275, 0.175, 1.65, 0.7, 0.1, 0.05, 0.225, 0.4, 0.375, 0.325, 0.2, 0.225, 0.425, 2.05, 0.025, 0.125, 0.075, 0.45, 0.075, 0.225, 0.075, 0.35, 0.15, 0.3, 0.175, 0.1, 0.525, 0.55, 0.325, 0.375, 0.075, 0.5, 0.525, 0.7, 0.3, 0.05, 0.55, 0.65, 0.675, 0.25, 0.7, 0.85, 0.9, 1.15, 0.25, 0.025, 0.1, 0.475, 0.125, 1.0, 0.35, 0.075, 0.725, 0.3, 0.2, 0.1, 0.25, 0.2, 0.975, 0.55, 0.025, 0.225, 0.425, 0.525, 1.45, 0.025, 0.175, 0.275, 0.025, 0.35, 0.4, 0.4, 0.075, 0.7, 0.35, 0.1, 0.4, 0.175, 0.275, 1.425, 0.775, 0.475, 0.85, 1.375, 0.25, 0.55, 0.075, 1.425, 0.325, 0.525, 0.3, 0.825, 0.525, 0.15, 0.075, 0.375, 0.125, 0.05, 0.3, 0.675, 1.4, 0.9, 0.475, 0.425, 0.475, 0.275, 1.175, 0.3, 0.45, 1.375, 0.225, 0.25, 0.1, 0.05, 0.15, 0.6, 0.225, 0.55, 0.45, 0.275, 0.15, 0.05, 1.45, 0.225, 0.225, 0.75, 0.25, 0.55, 0.525, 0.925, 1.4, 0.725, 0.8, 0.775)\n"
     ]
    }
   ],
   "source": [
    "path = stochastic_hamiltonian(graph)\n",
    "#durs = tuple(round(y[0]-x[0], 2) for (x, y) in pairwise(target_melody_data)) + ((1,))\n",
    "durs = tuple(d[0] for d in target_melody_data)\n",
    "path_to_chords(path, root)\n",
    "print(durs)\n",
    "write_chord_sequence(list(zip(durs, path_to_chords(path, root))))"
   ]
  }
 ],
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