{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "a6495489",
   "metadata": {},
   "source": [
    "# FormCalc/FeynArts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7a4a926c",
   "metadata": {},
   "outputs": [],
   "source": [
    "from feynml.interface.formcalc.topologylist import TopologyList\n",
    "from pyfeyn2.render.all import AllRender\n",
    "from pyfeyn2.auto.position import auto_position"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "72ca8e0c",
   "metadata": {},
   "outputs": [],
   "source": [
    "tl = TopologyList.from_str(\n",
    "        'TopologyList[ Process -> {V[1], V[1]} -> {-F[3, {3, SequenceForm[\"Col\", 3]}], F[3, {3, SequenceForm[\"Col\", 4]}]}, Model -> {\"SM\"}, GenericModel -> {\"Lorentz\"}, InsertionLevel -> {Generic, Classes}, ExcludeParticles -> {}, ExcludeFieldPoints -> {FieldPoint[0][-F[1], F[2], -S[3]], FieldPoint[0][F[1], -F[2], S[3]], FieldPoint[0][-F[2], F[2], S[1]], FieldPoint[0][-F[2], F[2], S[2]], FieldPoint[0][-F[4], F[4], S[1]], FieldPoint[0][-F[4], F[4], S[2]], FieldPoint[1][-F[1], F[2], -S[3]], FieldPoint[1][F[1], -F[2], S[3]], FieldPoint[1][-F[2], F[2], S[1]], FieldPoint[1][-F[2], F[2], S[2]], FieldPoint[1][-F[4], F[4], S[1]], FieldPoint[1][-F[4], F[4], S[2]]}, LastSelections -> {}][Topology[1][Propagator[Incoming][Vertex[1][1], Vertex[3][5], Field[1]], Propagator[Incoming][Vertex[1][2], Vertex[3][6], Field[2]], Propagator[Outgoing][Vertex[1][3], Vertex[3][5], Field[3]], Propagator[Outgoing][Vertex[1][4], Vertex[3][6], Field[4]], Propagator[Internal][Vertex[3][5], Vertex[3][6], Field[5]]] -> Insertions[Generic][FeynmanGraph[1, Generic == 1][Field[1] -> V[1], Field[2] -> V[1], Field[3] -> F[3, {3, SequenceForm[\"Col\", 3]}], Field[4] -> -F[3, {3, SequenceForm[\"Col\", 4]}], Field[5] -> F] -> Insertions[Classes][FeynmanGraph[1, Classes == 1][Field[1] -> V[1], Field[2] -> V[1], Field[3] -> F[3, {3, SequenceForm[\"Col\", 3]}], Field[4] -> -F[3, {3, SequenceForm[\"Col\", 4]}], Field[5] -> F[3, {3, SequenceForm[\"Col\", 3]}]]]],Topology[1][Propagator[Incoming][Vertex[1][1], Vertex[3][5], Field[1]], Propagator[Incoming][Vertex[1][2], Vertex[3][6], Field[2]], Propagator[Outgoing][Vertex[1][3], Vertex[3][6], Field[3]], Propagator[Outgoing][Vertex[1][4], Vertex[3][5], Field[4]], Propagator[Internal][Vertex[3][5], Vertex[3][6], Field[5]]] -> Insertions[Generic][FeynmanGraph[1, Generic == 1][Field[1] -> V[1], Field[2] -> V[1], Field[3] -> F[3, {3, SequenceForm[\"Col\", 3]}], Field[4] -> -F[3, {3, SequenceForm[\"Col\", 4]}], Field[5] -> F] -> Insertions[Classes][FeynmanGraph[1, Classes == 1][Field[1] -> V[1], Field[2] -> V[1], Field[3] -> F[3, {3, SequenceForm[\"Col\", 3]}], Field[4] -> -F[3, {3, SequenceForm[\"Col\", 4]}], Field[5] -> -F[3, {3, SequenceForm[\"Col\", 3]}]]]]]'\n",
    ")\n",
    "fml = tl.to_feynml()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7f9e136a",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tikz:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: e8663f7 'PDF' (179x91)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pyx:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: 11dfa3a 'PDF' (358x207)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynmp:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: e4501dc 'PDF' (180x111)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynman:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dot:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: 637ed4e 'PDF' (541x278)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "asciipdf:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: bb7e8d4 'PDF' (415x349)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "unicodepdf:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: 8370691 'PDF' (477x193)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fd = auto_position(fml.diagrams[0],layout=\"fdp\")\n",
    "AllRender(fd).render()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "50fd5664",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tikz:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: b48e2ee 'PDF' (177x89)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pyx:\n"
     ]
    },
    {
     "data": {
      "image/png": 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bsevAVIJJyd4rfvZGfZzyDhdmNDCTkDIR8Mk8mSc+MCsypRcdO0TvU0x7xLeYXrjlk4GZhpR9st1qm8nMvMiUDtlKl3Cd3luMibaIwXMMzjSkfBIsaWZ8YI4ilk1r29y/VVakFgUIHAMzFSmfLBub3Mz4SIpua5tNzhrVehm6DS5OeZJMRcolmLRo9hjLqtWNXIpFK8muiEJZzJTfXusYjGn4lZ/xyhubm5ms8fEIJbF20S1RPVrNNjbZd/HMwzENq+zhV4W5m928VBPbdm4yOR5BbxZx5zhs5heA33AtgYdjGla51naZnJlofHyB1GpRemfJ+3KHJU22VhQRX/IZv86vSUZ+yaKPw5ZpSFkRUeuJNYnkLIjI5dmiE0nj/i4gaqoSJ5oVipRnfoLCZ5dFmF1hWd5RwyQWrsXjpXm5WRQxITCvqKrZcn+djlQR1UVn7CM40rdkKfHwCkFD5gTdH5OQsk2kWfG6kBhFyqcGy/iC10cEhPjEpFU/paJzVM769MrhBN0/05hgwMxudmuWkqDxCBo8GvMqn8iF1PgvJCBAkbI8/5mZjAwkLQTtgZtyXJupSNl6dmsylhITgyyr44nxiJpvzzodZymiCItiAsvqH5ATdJ9MRcprPPtYMjOTNRpFIFUtHvtaWPbKqjiLZoFXWoCg7OidoHthIlI2uWh8Wdvmf5hUMlZEIOU3gTsrP8AChXjEBEBCq8bxTtDXZiJSxqoh7yEm50kiIiLRPA8mgCOxiiIiAnJmdV6Nmk/xLmjQeCCa1BUf6MTYyYX7tE6NYdV6K79o4n7Svh1Nbe5156P0MLyiDWgWRVrrBa3jj/at0GhiYmIidFkTNTeqx0SccQDyiuriQCuSqXKW71MNCVg1+587HWV8VPRwyfy6bXVk57LbhUPlzkLbMyUprwj4ZHPjdLalR0TILjNwaTJRbPB57nbRb3y3sIiHXrPuq7qyE3R7piTlkAVL89xxa5+okFi2y73rO1l1gDPiBN2CKUlZ8UpmPlywB4+AEI+cdY3P+cZwgrbjKlIu1rlykssu6bLF56NzR5XhBN3EFaQsIYv9HzlL5l3toUTE/dys3QtO0NVcLGVRvALPZikBAQEXyHmYgiy3jxN0GZdL+ehmbb9okDHr5IuwjJBzOEGfcnlClMfBGpjJzYwPrPFYyaZDUtIQBVnuBJObxCTMi6pOGi2R6F5zzSdNDwvXJuOTaBZoXqxyPg5JCF3ZwDaYnAQkLSy0BvFJgbT+2iY+2X1d/S63yqWnwyR8ZIliJYs2ttmscVa5AzsLbWZFYKtGE4kWXXPuFZ0r802Ty+fKPjHrcidc4aTL2izuSozfvUKyA0A07IuBJZRaaPHZkjc2pL8hLpeyx6ImRWgfkm4sY94kIGTZ5ZbRcUyToIuvvqfl/RE+7xX8yjF5nVBPEzcb9taYCOpoQ7Wg5bV4dGZrZqbNNaS8xa+PaBOfFR45n2zcRV0j5BzVlAlaNvtyZJ0jX6bENaoTZcWpqsSkxU3gRmKL/SVN+3O0xSQmMTu3Xf52U8hP90+HnRynE+MaUrYoN2hy88wzOZFsG8vM9lq+8JE5EfTPHTylaV/+d2JcQ8pruxw6s+SJJTlxgxNod6odPVEI+mf41aOHfba37Zy7gpRNRm7X/8OkzFijiGtrJmfgqsr3i4T8/tmDir+R3x37yLpznUqea1KsLk8mN0tmJCgJqy5ou/UrR38cxTIe8g2+J39Su7AyZa6SYNnQkLck2XPXVbpim7ru0m5c5dsqH//KP/JP/DkxGn3c8Xv64zqh94oVufnUapuAEMrLUkmM366qhMOW4ry/VYLKi3/fvc0+at9RNiUnu5WV1yslRMkWnw/tPrT4LPDJmZ+66GWD5umxQxbH5RYFfa3IuJYFWQBMKk9ERMQSdotudvTFLjKjELQPIJMX9LWssmbDut0Uo9jSJ94XDlwDiOLFrfdNh1ux0FfLuJZXVNf8DwmIixD+JaDx72Mp9Z6YvqCvJ+UFYbeCLMX2IXofqZzy5G76psiUBS3mLUfswoO6rCBLsQ8PjUfibvimzTQFLbw5ZyAh7S4iUazI3LTgcZiaoAVDzpqcEAVkzLvGCssG7QqyPBrTEbRg3vIIJCgyPlJmXayzK8jyuExB0II5dHuJJsYHlu1rrrmCLI/OmaAHreF/ImXYNxSzzPk42tIVZHHsBD1CY7cSKYMoFgTAvF3BLImJ7ift0XEJw3cqLJUyHDR7bNHnQwJWbnHD8c6Qghbisti04jB8fLD384oiqs++djwiwwj66/h45f1BTUYmHhpf/LrGigdb5ALavmWZ4zEYprGbENdb3WIFLiexeWPRaNbOt+yooj8LLRgS81T7kv1NYLPPuHuEnOOR6EPQgiE3nze+LCLGqmOoWO3P4bi2oAXL5eZ9zkeDt1k26Lb5JI5H5lqCFqxnt6LQzR4NCfCrfCIORxWXC/rrZPi8JS3WYnLWAgGR6BqxKnw0bpnE0YoKL0eLphRikBWq/sbvaAOPEL+6sZn4xPYlaB2Oc8Qr2tdDiy4rOym3bMhb9Hle81xSglqzafKJOBzNtG0b9DV2RUpbVQszM57ICHgR12zB0RNt2wbtEqJaF2Q5qGefHt801lfBdzi6YGOhxdCtIAuAaBZ4wPK924gErNwiiaMP6gW9k3JM1LWMv8RFKtWatVmLxwrfBXo6+qNK0Dsp+2y736qJIirkvMOl/jt651zQRR2My/t/SIhGAWn3du0ORztEEbzVT/l/qdnQMkYhKBwAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjMtMDUtMjlUMTk6MjY6NTIrMDA6MDCSvuVEAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIzLTA1LTI5VDE5OjI2OjUyKzAwOjAw4+Nd+AAAACh0RVh0ZGF0ZTp0aW1lc3RhbXAAMjAyMy0wNS0yOVQxOToyNjo1MyswMDowMBKBd5MAAAA2dEVYdHBkZjpIaVJlc0JvdW5kaW5nQm94ADEyOC42NzV4NjcuNDk1KzEzLjA1NzcyNis3Ljk0NzYwNbX9jnUAAAATdEVYdHBkZjpWZXJzaW9uAFBERi0xLjQkMWpXAAAASnRFWHRzaWduYXR1cmUANTU3ZGE2NzVlYTY3OTJjOTIwOWM0YzNiZjdjN2U5MTgzNzYyOGZhZjIzMTMzMjJkMmYyMGQ3OGExNGYzNzc3M8is6yUAAAAASUVORK5CYII=",
      "text/plain": [
       "<wand.image.Image: 557da67 'PDF' (357x187)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynmp:\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAALQAAABvCAQAAADvPSJVAAAAIGNIUk0AAHomAACAhAAA+gAAAIDoAAB1MAAA6mAAADqYAAAXcJy6UTwAAAACYktHRAD/h4/MvwAAAAlwSFlzAAAAZAAAAGQAD5bF3QAAAAd0SU1FB+cFHRMaNszx88MAAAd2SURBVHja3Z2/cuPIEcZ/7fILzD7BFfwCrpqNHDmYzS+BHgGqyy65oh4BdOjERaZ3EZk5Jar2BYi6uugiYtMNbKIcOfM4ICQBXO2KAOYf9CGhWMJMz6fRdPd0Tw+WsQ/np4/l+LffyoPiiCW/+fcnd2TGdfS2HjRnLJsRb8zoLOPMOfaQo9BccMZSjHpnVoclliz2sIPTXGI5Y8a99QfmIpvdwoIgSjasqPlgq3Fv/jG26EuCKA5oKu5sO/bdeTO6AVTs4YeCaE5otvbDeJqZuUZnWE6o2KtmkJV5ggIcvO9AMRwoLGhKSoq3Sfs0BeiQ6E6E/nOe/ldP80GxwXJEz2lF7Py1K6MAoAIMBWq8Tk4XosjJqKkmrczP7cwn+qpBzZHWvovIjcvRZOQoaruf29J8O/oKtuaBWt6EdS2aHMV+Ps0eiAYazFtwY8SQA3tbu2jNh8OiwxLiA6IwaBoq27hp0QfRe2CW4ogNVwpw0KZrZdipw9q+D8qNS/mdKcA+PKzRtmaNlt1FIYoRIwtaTFwqwEG77mf00+ZLHxXrJdjWYjC0VG4U4KBlH0R3IhcooAYUBfDevfhOJXauAAet+yL6qhvDIe1124cC7MOHHf0CbMUaLSZMb7fi2a2SjIKM2u790ByMaKCiSmvvWgyny5/elwLsIxzRGUnNZ1FsgJ1otx7g1xAulFWzxoOSmYySDFDs+Ce/+1GAAwTb1dVYDrH3lp+kyXs//BYiWBFycDsSyW0i62VbWUYlwiyBaMUJy5kDByyWM5s4WSFd//3He1Qo7AAVZTeXdpQd7cGpZvXFVyf/qW2BB/nCkI+B+9RXXxzmhFwXQnS3bgcZ6FOPv/Z+2ITrO3am0gNNyL1r+Qd/7j5uWXs36fqIPKMNllWw3n7AYvkPZfjsk9hEZ5Tz8iVG9PU9/+Vf/D1Oik98oi27AP0ocj7yc7wk40DbpN9YNQ8Y7u3Wax+et0BvkiE60RlHFBU1j/HzvVva/cQAR0sRm2gQTdEllbXUaBQN713NPdEYlO+9uRvkiE80gGRkYCsQxYoVe3vnpF1vMcDRkqRB9JVQJZqHueT4jQGORWyH5WVsu6VkBiTDxFaAfaRJdMaKS/x8ItJQgH2kSXRLNScaIzpEcGoc0iS6wUwnOh0FOJAqRWUIckRPOTeQlgIcSJYo0ZoDsO2OawBsX6cuNQU4kC1NokHyLk79jFcOUqanAAfSpUo0gBRkwN7WYlhh2Nr7r/5uggpwIF/KRF+JekR/LVEyTQXYR7hMpfm4p3rp2IYoyTE06c5mSNW8exG2FvOlE5OyAuxjQUS/lIuatgLsY0FEU3NlV6euAAeyLkcZgpzIntVh+gpwIPuiiDYcaFjbrXzHPZKiB/hVxA3Ojg6yFk8f/8ffllSyYknmHWC3vGNNxb8R/jJ/1zocFrV09MQ+orlfgln3iIXN6AukRLNmT40mX0YlhYXMaCnIuQQEWgrMY5x8OZbHAogWze5qH6+XoJhKOsGro1gA0Uc0a9a2vSQl0AxNuoV4h7HNnlcNuhWvnnxBUVCSp2zuJT+jJUezfs2ySDeE9SRh8kQfMFZu+s2kFWP65t3NM9RW7IE8zeog6RN9KR10E2zNnpZc8tgif4nEiZbVODfbNmxp0JJLUgf8E1yjxWC4JPBCTkHLn8Y52WkqxqSIFsXuqgZCw90U5ZaeYkyL6AOGPVtbdYkGzfTc/9Q8xoSIloKNqwR0SM1jTEkZKiru5zfziLQUY0oz+oB2XaU3HcWY0oz2cF+Abe2eiiy+G5NSukGFlxKEtpIWQy7EVIzJzGjJKX3V6U3BY4y4RotCA62tQQpK4L2/lXR4elYyNlNuU5mBSLvMz7VoHh/vlzCgyCkpyLqb24LWd4o0o2VHTsOahpwMqF/fc3bS78VjNJ3/eRfQxo4yn3OilWZD87H3XxQsJhNHGebg0jUZBc1fnz5fqjkGQRyiFXUcB0L0FbW5rML0HMu8i5X08iWtqzCuTByiK9ZR+sXe8YHhjmCo5SOCOjIEKe/zDQkyNoMvAhh6MWg+YUMVrPqGHENL3nv9uxBDKjhhuVQlPWJJpBSsBcWKT1gsn/lu4UR31/BtulqkwUpUjpDwRz5jOfqtIOZ7EMb/EJzI+ROf+MXngubZBZcSzX3sTfebJNXcYf3FGH2bd9l17meqsDUbn1upvonWy7lwz2+M0XeEpVrSPXC2lT0GjRLnMUavM7pLHF8Q/MUYPRLd5R0lksByO/xkpTq1OiRjRQa0NECBYm0fQpLkcCSuk28c2qKXU63HpzshTku+Idz1cQ1nM1o0RxrubdWvNLpkuE2+cUe0k3qiqcFdVqo7Zdimk7npDu4Uo7sZbansh7i0+IEbxehyRr9RuPEYHREtCpXUJXpOYdv5B/xdzegd+ElRTAPzPcaJa7So7o7klpqMAu0yVz9VzDmuMYloKSivcpm3PCyjQMk8TFeME4iWjCOXUg6t5Gha9svYc3aBqXe6TCF6Rx40PTAxTPMYpxHdLHOryB3Ge4xTrI48rfu9Y8BWNKw43m6D/B/yVyoGbeKghQAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMy0wNS0yOVQxOToyNjo1NCswMDowMPFu0H4AAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjMtMDUtMjlUMTk6MjY6NTQrMDA6MDCAM2jCAAAAKHRFWHRkYXRlOnRpbWVzdGFtcAAyMDIzLTA1LTI5VDE5OjI2OjU0KzAwOjAw1yZJHQAAABN0RVh0cGRmOlZlcnNpb24AUERGLTEuNVM2WsEAAABKdEVYdHNpZ25hdHVyZQA0ZDA5YjQ3ODIxN2M1YjUyZjAzZGJlNzg3M2I5Yzc2ODQ4ZGRlYjY5MjYwODhjMzU5Mzk2OTE5YzI3M2FmMjgxVdwcLgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<wand.image.Image: 4d09b47 'PDF' (180x111)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "feynman:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dot:\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<wand.image.Image: c02618c 'PDF' (541x276)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "asciipdf:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: d8fe1ee 'PDF' (415x349)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "unicodepdf:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<wand.image.Image: 75ca0b4 'PDF' (477x193)>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fd = auto_position(fml.diagrams[1],layout=\"fdp\")\n",
    "AllRender(fd).render()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2a760648",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}