GeomInvalidMinimum.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c50778d6",
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "from shapely.geometry import Polygon, MultiPolygon\n",
    "from shapely.wkt import loads\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.animation as animation\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "9c120105",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"273.0719999999983\" height=\"300\" viewBox=\"13243.364000000001 32227.464 273.0719999999983 441.0720000000001\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,64896.0)\"><path fill-rule=\"evenodd\" fill=\"#66cc99\" stroke=\"#555555\" stroke-width=\"2.940480000000001\" opacity=\"0.6\" d=\"M 13383.7,32243.8 L 13273.0,32243.8 L 13259.7,32266.8 L 13308.0,32435.0 L 13297.0,32438.0 L 13315.0,32488.0 L 13371.9,32652.2 L 13473.0,32652.2 L 13500.1,32605.3 L 13461.0,32434.0 L 13453.0,32404.0 L 13441.8,32405.7 L 13414.0,32357.0 L 13383.7,32243.8 z M 13335.0,32289.0 L 13321.0,32292.0 L 13318.0,32290.0 L 13316.0,32282.0 L 13317.0,32278.0 L 13332.0,32274.0 L 13335.0,32289.0 z M 13441.8,32405.7 L 13442.0,32406.0 L 13440.0,32406.0 L 13441.8,32405.7 z\" /></g></svg>"
      ],
      "text/plain": [
       "<POLYGON ((13383.7 32243.8, 13273 32243.8, 13259.7 32266.8, 13308 32435, 132...>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "polygon_via_wkt = \"POLYGON((13383.7 32243.8,13273 32243.8,13259.7 32266.8,13308 32435,13297 32438,13315 32488,13371.9 32652.2,13473 32652.2,13500.1 32605.3,13461 32434,13453 32404,13441.8 32405.7,13414 32357,13383.7 32243.8),(13335 32289,13321 32292,13318 32290,13316 32282,13317 32278,13332 32274,13335 32289),(13441.8 32405.7,13442 32406,13440 32406,13441.8 32405.7))\"\n",
    "loads(polygon_via_wkt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "d6d2e4ec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"300\" height=\"300\" viewBox=\"10399.5 27851.2 3218.5999999999985 4760.0999999999985\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,60462.5)\"><g><path fill-rule=\"evenodd\" fill=\"#66cc99\" stroke=\"#555555\" stroke-width=\"31.73399999999999\" opacity=\"0.6\" d=\"M 13440.0,32406.0 L 13441.8,32405.7 L 13423.4,32373.5 L 13414.0,32357.0 L 13370.5,32194.4 L 13370.5,32194.4 L 13357.0,32144.0 L 13235.3,31745.0 L 13235.3,31745.0 L 13180.9,31566.3 L 13180.9,31566.3 L 13164.0,31511.0 L 13138.2,31405.4 L 13138.2,31405.4 L 13113.0,31302.0 L 13016.0,30942.0 L 12973.0,30708.0 L 12968.9,30687.7 L 12968.9,30687.7 L 12931.0,30500.0 L 12903.2,30336.2 L 12883.1,30218.2 L 12869.0,30135.0 L 12848.3,29989.8 L 12844.0,29960.0 L 12825.2,29857.9 L 12825.2,29857.9 L 12806.0,29754.0 L 12773.0,29559.0 L 12753.8,29451.2 L 12745.4,29403.8 L 12745.4,29403.8 L 12726.0,29295.0 L 12731.0,29277.0 L 12739.0,29266.0 L 12741.0,29256.0 L 12762.2,29228.2 L 12773.0,29214.0 L 12786.0,29216.0 L 12855.5,29207.4 L 12874.1,29205.1 L 12900.0,29202.0 L 12900.0,29200.0 L 12900.0,29117.1 L 12912.3,29087.4 L 12908.0,29087.0 L 12816.0,29040.0 L 12765.0,29003.0 L 12748.0,28893.0 L 12735.8,28798.2 L 12719.0,28667.0 L 12705.0,28597.0 L 12690.0,28514.0 L 12675.3,28426.4 L 12648.0,28264.0 L 12633.0,28215.0 L 12633.0,28175.0 L 12637.0,28160.0 L 12650.0,28150.0 L 12661.0,28152.0 L 12796.0,28131.0 L 12796.0,28127.0 L 12769.2,28080.6 L 12769.2,28027.5 L 12741.9,28031.5 L 12741.9,28031.5 L 12643.0,28046.0 L 12624.0,28047.0 L 12424.0,28074.0 L 12196.0,28110.0 L 12187.0,28113.0 L 11714.0,28178.0 L 11414.0,28222.0 L 11064.0,28275.0 L 10983.0,28290.0 L 10962.0,28280.0 L 10761.0,28311.0 L 10724.1,28188.2 L 10655.6,28216.6 L 10654.3,28217.9 L 10652.6,28218.6 L 10652.3,28218.9 L 10650.6,28219.6 L 10649.3,28220.9 L 10647.6,28221.6 L 10647.3,28221.9 L 10645.6,28222.6 L 10645.3,28222.9 L 10643.6,28223.6 L 10642.3,28224.9 L 10640.6,28225.6 L 10640.3,28225.9 L 10638.6,28226.6 L 10638.3,28226.9 L 10636.6,28227.6 L 10635.3,28228.9 L 10633.6,28229.6 L 10633.3,28229.9 L 10631.6,28230.6 L 10631.3,28230.9 L 10629.6,28231.6 L 10627.6,28233.6 L 10575.8,28426.8 L 10717.2,28568.2 L 10771.0,28553.8 L 10771.0,28573.0 L 10772.0,28573.0 L 10815.5,28555.0 L 10818.0,28555.0 L 10820.4,28554.0 L 10823.0,28554.0 L 10825.4,28553.0 L 10829.0,28553.0 L 10831.4,28552.0 L 10835.0,28552.0 L 10836.0,28551.6 L 10796.0,28411.0 L 10892.0,28392.0 L 11759.0,28264.0 L 12399.0,28171.7 L 12494.0,28158.0 L 12525.0,28163.0 L 12547.0,28176.0 L 12577.0,28184.0 L 12608.0,28271.0 L 12615.7,28315.7 L 12615.7,28315.7 L 12663.0,28592.0 L 12629.0,28599.0 L 12505.0,28600.0 L 12521.0,28686.0 L 12675.0,28663.0 L 12689.0,28745.0 L 12700.8,28841.9 L 12700.8,28841.9 L 12705.6,28881.8 L 12706.0,28885.0 L 12708.8,28926.8 L 12710.0,28944.0 L 12706.0,28986.0 L 12700.0,29004.0 L 12680.1,29026.8 L 12652.9,29057.8 L 12627.6,29086.8 L 12616.0,29100.0 L 12617.8,29236.8 L 12618.0,29252.0 L 12612.0,29266.0 L 12611.8,29273.2 L 12611.0,29311.0 L 12618.0,29344.0 L 12626.2,29403.2 L 12626.4,29404.2 L 12627.8,29414.8 L 12630.5,29434.1 L 12632.9,29451.2 L 12639.0,29495.0 L 12657.9,29597.1 L 12657.9,29597.1 L 12679.0,29711.0 L 12709.6,29888.8 L 12709.6,29888.8 L 12725.0,29978.0 L 12726.9,29989.8 L 12726.9,29989.8 L 12743.4,30091.8 L 12782.0,30329.8 L 12786.8,30359.8 L 12786.8,30359.8 L 12804.0,30466.0 L 12823.0,30587.0 L 12855.0,30769.0 L 12906.0,31039.0 L 12965.8,31246.0 L 12999.4,31362.0 L 13021.0,31436.8 L 13021.0,31436.8 L 13054.0,31551.0 L 13101.0,31721.0 L 13157.2,31906.0 L 13193.0,32024.0 L 13244.0,32212.0 L 13248.4,32227.2 L 13248.3,32227.2 L 13308.0,32435.0 L 13440.0,32406.0 z M 12682.0,29336.0 L 12685.0,29338.0 L 12687.0,29350.0 L 12686.0,29353.0 L 12675.0,29354.0 L 12671.0,29352.0 L 12668.0,29340.0 L 12670.0,29337.0 L 12682.0,29336.0 z M 12827.0,30211.0 L 12821.0,30214.0 L 12815.0,30210.0 L 12816.0,30204.0 L 12819.0,30201.0 L 12826.0,30202.0 L 12827.0,30211.0 z M 12815.0,30112.0 L 12805.0,30112.0 L 12802.0,30111.0 L 12801.0,30102.0 L 12804.0,30095.0 L 12815.0,30095.0 L 12822.0,30099.0 L 12823.0,30108.0 L 12815.0,30112.0 z M 12867.0,30454.0 L 12870.0,30456.0 L 12875.0,30474.0 L 12874.0,30476.0 L 12858.0,30480.0 L 12852.0,30478.0 L 12848.0,30461.0 L 12849.0,30459.0 L 12867.0,30454.0 z M 13098.0,31450.0 L 13106.0,31455.0 L 13107.0,31459.0 L 13105.0,31465.0 L 13091.0,31470.0 L 13085.0,31466.0 L 13084.0,31461.0 L 13086.0,31455.0 L 13098.0,31450.0 z M 13156.0,31649.0 L 13142.0,31653.0 L 13138.0,31652.0 L 13135.0,31641.0 L 13138.0,31635.0 L 13149.0,31634.0 L 13152.0,31636.0 L 13156.0,31649.0 z M 13321.0,32292.0 L 13318.0,32290.0 L 13316.0,32282.0 L 13317.0,32278.0 L 13332.0,32274.0 L 13335.0,32289.0 L 13321.0,32292.0 z\" /></g></g></svg>"
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       "<MULTIPOLYGON (((13440 32406, 13441.8 32405.7, 13423.4 32373.5, 13414 32357,...>"
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     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mpolygons_via_wkt = \"MULTIPOLYGON(((13440 32406,13441.8 32405.7,13423.4 32373.5,13414 32357,13370.5 32194.4,13370.5 32194.4,13357 32144,13235.3 31745,13235.3 31745,13180.9 31566.3,13180.9 31566.3,13164 31511,13138.2 31405.4,13138.2 31405.4,13113 31302,13016 30942,12973 30708,12968.9 30687.7,12968.9 30687.7,12931 30500,12903.2 30336.2,12883.1 30218.2,12869 30135,12848.3 29989.8,12844 29960,12825.2 29857.9,12825.2 29857.9,12806 29754,12773 29559,12753.8 29451.2,12745.4 29403.8,12745.4 29403.8,12726 29295,12731 29277,12739 29266,12741 29256,12762.2 29228.2,12773 29214,12786 29216,12855.5 29207.4,12874.1 29205.1,12900 29202,12900 29200,12900 29117.1,12912.3 29087.4,12908 29087,12816 29040,12765 29003,12748 28893,12735.8 28798.2,12719 28667,12705 28597,12690 28514,12675.3 28426.4,12648 28264,12633 28215,12633 28175,12637 28160,12650 28150,12661 28152,12796 28131,12796 28127,12769.2 28080.6,12769.2 28027.5,12741.9 28031.5,12741.9 28031.5,12643 28046,12624 28047,12424 28074,12196 28110,12187 28113,11714 28178,11414 28222,11064 28275,10983 28290,10962 28280,10761 28311,10724.1 28188.2,10655.6 28216.6,10654.3 28217.9,10652.6 28218.6,10652.3 28218.9,10650.6 28219.6,10649.3 28220.9,10647.6 28221.6,10647.3 28221.9,10645.6 28222.6,10645.3 28222.9,10643.6 28223.6,10642.3 28224.9,10640.6 28225.6,10640.3 28225.9,10638.6 28226.6,10638.3 28226.9,10636.6 28227.6,10635.3 28228.9,10633.6 28229.6,10633.3 28229.9,10631.6 28230.6,10631.3 28230.9,10629.6 28231.6,10627.6 28233.6,10575.8 28426.8,10717.2 28568.2,10771 28553.8,10771 28573,10772 28573,10815.5 28555,10818 28555,10820.4 28554,10823 28554,10825.4 28553,10829 28553,10831.4 28552,10835 28552,10836 28551.6,10796 28411,10892 28392,11759 28264,12399 28171.7,12494 28158,12525 28163,12547 28176,12577 28184,12608 28271,12615.7 28315.7,12615.7 28315.7,12663 28592,12629 28599,12505 28600,12521 28686,12675 28663,12689 28745,12700.8 28841.9,12700.8 28841.9,12705.6 28881.8,12706 28885,12708.8 28926.8,12710 28944,12706 28986,12700 29004,12680.1 29026.8,12652.9 29057.8,12627.6 29086.8,12616 29100,12617.8 29236.8,12618 29252,12612 29266,12611.8 29273.2,12611 29311,12618 29344,12626.2 29403.2,12626.4 29404.2,12627.8 29414.8,12630.5 29434.1,12632.9 29451.2,12639 29495,12657.9 29597.1,12657.9 29597.1,12679 29711,12709.6 29888.8,12709.6 29888.8,12725 29978,12726.9 29989.8,12726.9 29989.8,12743.4 30091.8,12782 30329.8,12786.8 30359.8,12786.8 30359.8,12804 30466,12823 30587,12855 30769,12906 31039,12965.8 31246,12999.4 31362,13021 31436.8,13021 31436.8,13054 31551,13101 31721,13157.2 31906,13193 32024,13244 32212,13248.4 32227.2,13248.3 32227.2,13308 32435,13440 32406),(12682 29336,12685 29338,12687 29350,12686 29353,12675 29354,12671 29352,12668 29340,12670 29337,12682 29336),(12827 30211,12821 30214,12815 30210,12816 30204,12819 30201,12826 30202,12827 30211),(12815 30112,12805 30112,12802 30111,12801 30102,12804 30095,12815 30095,12822 30099,12823 30108,12815 30112),(12867 30454,12870 30456,12875 30474,12874 30476,12858 30480,12852 30478,12848 30461,12849 30459,12867 30454),(13098 31450,13106 31455,13107 31459,13105 31465,13091 31470,13085 31466,13084 31461,13086 31455,13098 31450),(13156 31649,13142 31653,13138 31652,13135 31641,13138 31635,13149 31634,13152 31636,13156 31649),(13321 32292,13318 32290,13316 32282,13317 32278,13332 32274,13335 32289,13321 32292)))\"\n",
    "loads(mpolygons_via_wkt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "39762c31",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"300\" height=\"300\" viewBox=\"10390.812 27842.512 3294.276 4994.676000000003\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,60679.7)\"><g><path fill-rule=\"evenodd\" fill=\"#66cc99\" stroke=\"#555555\" stroke-width=\"33.29784000000002\" opacity=\"0.6\" d=\"M 13308.0,32435.0 L 13297.0,32438.0 L 13315.0,32488.0 L 13371.9,32652.2 L 13473.0,32652.2 L 13500.1,32605.3 L 13461.0,32434.0 L 13453.0,32404.0 L 13441.8,32405.7 L 13414.0,32357.0 L 13370.5,32194.4 L 13357.0,32144.0 L 13235.3,31745.0 L 13180.9,31566.3 L 13164.0,31511.0 L 13138.2,31405.4 L 13113.0,31302.0 L 13016.0,30942.0 L 12973.0,30708.0 L 12968.9,30687.7 L 12931.0,30500.0 L 12903.2,30336.2 L 12883.1,30218.2 L 12869.0,30135.0 L 12848.3,29989.8 L 12844.0,29960.0 L 12825.2,29857.9 L 12806.0,29754.0 L 12773.0,29559.0 L 12753.8,29451.2 L 12745.4,29403.8 L 12726.0,29295.0 L 12731.0,29277.0 L 12739.0,29266.0 L 12741.0,29256.0 L 12762.2,29228.2 L 12773.0,29214.0 L 12786.0,29216.0 L 12855.5,29207.4 L 12874.1,29205.1 L 12900.0,29202.0 L 12900.0,29200.0 L 12900.0,29117.1 L 12912.3,29087.4 L 12908.0,29087.0 L 12816.0,29040.0 L 12765.0,29003.0 L 12748.0,28893.0 L 12735.8,28798.2 L 12719.0,28667.0 L 12705.0,28597.0 L 12690.0,28514.0 L 12675.3,28426.4 L 12648.0,28264.0 L 12633.0,28215.0 L 12633.0,28175.0 L 12637.0,28160.0 L 12650.0,28150.0 L 12661.0,28152.0 L 12796.0,28131.0 L 12796.0,28127.0 L 12769.2,28080.6 L 12769.2,28027.5 L 12741.9,28031.5 L 12643.0,28046.0 L 12624.0,28047.0 L 12424.0,28074.0 L 12196.0,28110.0 L 12187.0,28113.0 L 11714.0,28178.0 L 11414.0,28222.0 L 11064.0,28275.0 L 10983.0,28290.0 L 10962.0,28280.0 L 10761.0,28311.0 L 10724.1,28188.2 L 10655.6,28216.6 L 10654.3,28217.9 L 10652.6,28218.6 L 10652.3,28218.9 L 10650.6,28219.6 L 10649.3,28220.9 L 10647.6,28221.6 L 10647.3,28221.9 L 10645.6,28222.6 L 10645.3,28222.9 L 10643.6,28223.6 L 10642.3,28224.9 L 10640.6,28225.6 L 10640.3,28225.9 L 10638.6,28226.6 L 10638.3,28226.9 L 10636.6,28227.6 L 10635.3,28228.9 L 10633.6,28229.6 L 10633.3,28229.9 L 10631.6,28230.6 L 10631.3,28230.9 L 10629.6,28231.6 L 10627.6,28233.6 L 10575.8,28426.8 L 10717.2,28568.2 L 10771.0,28553.8 L 10771.0,28573.0 L 10772.0,28573.0 L 10815.5,28555.0 L 10818.0,28555.0 L 10820.4,28554.0 L 10823.0,28554.0 L 10825.4,28553.0 L 10829.0,28553.0 L 10831.4,28552.0 L 10835.0,28552.0 L 10836.0,28551.6 L 10796.0,28411.0 L 10892.0,28392.0 L 11759.0,28264.0 L 12399.0,28171.7 L 12494.0,28158.0 L 12525.0,28163.0 L 12547.0,28176.0 L 12577.0,28184.0 L 12608.0,28271.0 L 12615.7,28315.7 L 12663.0,28592.0 L 12629.0,28599.0 L 12505.0,28600.0 L 12521.0,28686.0 L 12675.0,28663.0 L 12689.0,28745.0 L 12700.8,28841.9 L 12705.6,28881.8 L 12706.0,28885.0 L 12708.8,28926.8 L 12710.0,28944.0 L 12706.0,28986.0 L 12700.0,29004.0 L 12680.1,29026.8 L 12652.9,29057.8 L 12627.6,29086.8 L 12616.0,29100.0 L 12617.8,29236.8 L 12618.0,29252.0 L 12612.0,29266.0 L 12611.8,29273.2 L 12611.0,29311.0 L 12618.0,29344.0 L 12626.2,29403.2 L 12626.4,29404.2 L 12627.8,29414.8 L 12630.5,29434.1 L 12632.9,29451.2 L 12639.0,29495.0 L 12657.9,29597.1 L 12679.0,29711.0 L 12709.6,29888.8 L 12725.0,29978.0 L 12726.9,29989.8 L 12743.4,30091.8 L 12782.0,30329.8 L 12786.8,30359.8 L 12804.0,30466.0 L 12823.0,30587.0 L 12855.0,30769.0 L 12906.0,31039.0 L 12965.8,31246.0 L 12999.4,31362.0 L 13021.0,31436.8 L 13054.0,31551.0 L 13101.0,31721.0 L 13157.2,31906.0 L 13193.0,32024.0 L 13244.0,32212.0 L 13248.4,32227.2 L 13248.3,32227.2 L 13308.0,32435.0 z M 12682.0,29336.0 L 12685.0,29338.0 L 12687.0,29350.0 L 12686.0,29353.0 L 12675.0,29354.0 L 12671.0,29352.0 L 12668.0,29340.0 L 12670.0,29337.0 L 12682.0,29336.0 z M 12827.0,30211.0 L 12821.0,30214.0 L 12815.0,30210.0 L 12816.0,30204.0 L 12819.0,30201.0 L 12826.0,30202.0 L 12827.0,30211.0 z M 12815.0,30112.0 L 12805.0,30112.0 L 12802.0,30111.0 L 12801.0,30102.0 L 12804.0,30095.0 L 12815.0,30095.0 L 12822.0,30099.0 L 12823.0,30108.0 L 12815.0,30112.0 z M 12867.0,30454.0 L 12870.0,30456.0 L 12875.0,30474.0 L 12874.0,30476.0 L 12858.0,30480.0 L 12852.0,30478.0 L 12848.0,30461.0 L 12849.0,30459.0 L 12867.0,30454.0 z M 13098.0,31450.0 L 13106.0,31455.0 L 13107.0,31459.0 L 13105.0,31465.0 L 13091.0,31470.0 L 13085.0,31466.0 L 13084.0,31461.0 L 13086.0,31455.0 L 13098.0,31450.0 z M 13156.0,31649.0 L 13142.0,31653.0 L 13138.0,31652.0 L 13135.0,31641.0 L 13138.0,31635.0 L 13149.0,31634.0 L 13152.0,31636.0 L 13156.0,31649.0 z M 13321.0,32292.0 L 13318.0,32290.0 L 13316.0,32282.0 L 13317.0,32278.0 L 13332.0,32274.0 L 13335.0,32289.0 L 13321.0,32292.0 z M 13440.0,32406.0 L 13441.8,32405.7 L 13442.0,32406.0 L 13440.0,32406.0 z\" /></g></g></svg>"
      ],
      "text/plain": [
       "<MULTIPOLYGON (((13308 32435, 13297 32438, 13315 32488, 13371.9 32652.2, 134...>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mp_via_wkt_result = \"MULTIPOLYGON(((13308 32435,13297 32438,13315 32488,13371.9 32652.2,13473 32652.2,13500.1 32605.3,13461 32434,13453 32404,13441.8 32405.7,13414 32357,13370.5 32194.4,13357 32144,13235.3 31745,13180.9 31566.3,13164 31511,13138.2 31405.4,13113 31302,13016 30942,12973 30708,12968.9 30687.7,12931 30500,12903.2 30336.2,12883.1 30218.2,12869 30135,12848.3 29989.8,12844 29960,12825.2 29857.9,12806 29754,12773 29559,12753.8 29451.2,12745.4 29403.8,12726 29295,12731 29277,12739 29266,12741 29256,12762.2 29228.2,12773 29214,12786 29216,12855.5 29207.4,12874.1 29205.1,12900 29202,12900 29200,12900 29117.1,12912.3 29087.4,12908 29087,12816 29040,12765 29003,12748 28893,12735.8 28798.2,12719 28667,12705 28597,12690 28514,12675.3 28426.4,12648 28264,12633 28215,12633 28175,12637 28160,12650 28150,12661 28152,12796 28131,12796 28127,12769.2 28080.6,12769.2 28027.5,12741.9 28031.5,12643 28046,12624 28047,12424 28074,12196 28110,12187 28113,11714 28178,11414 28222,11064 28275,10983 28290,10962 28280,10761 28311,10724.1 28188.2,10655.6 28216.6,10654.3 28217.9,10652.6 28218.6,10652.3 28218.9,10650.6 28219.6,10649.3 28220.9,10647.6 28221.6,10647.3 28221.9,10645.6 28222.6,10645.3 28222.9,10643.6 28223.6,10642.3 28224.9,10640.6 28225.6,10640.3 28225.9,10638.6 28226.6,10638.3 28226.9,10636.6 28227.6,10635.3 28228.9,10633.6 28229.6,10633.3 28229.9,10631.6 28230.6,10631.3 28230.9,10629.6 28231.6,10627.6 28233.6,10575.8 28426.8,10717.2 28568.2,10771 28553.8,10771 28573,10772 28573,10815.5 28555,10818 28555,10820.4 28554,10823 28554,10825.4 28553,10829 28553,10831.4 28552,10835 28552,10836 28551.6,10796 28411,10892 28392,11759 28264,12399 28171.7,12494 28158,12525 28163,12547 28176,12577 28184,12608 28271,12615.7 28315.7,12663 28592,12629 28599,12505 28600,12521 28686,12675 28663,12689 28745,12700.8 28841.9,12705.6 28881.8,12706 28885,12708.8 28926.8,12710 28944,12706 28986,12700 29004,12680.1 29026.8,12652.9 29057.8,12627.6 29086.8,12616 29100,12617.8 29236.8,12618 29252,12612 29266,12611.8 29273.2,12611 29311,12618 29344,12626.2 29403.2,12626.4 29404.2,12627.8 29414.8,12630.5 29434.1,12632.9 29451.2,12639 29495,12657.9 29597.1,12679 29711,12709.6 29888.8,12725 29978,12726.9 29989.8,12743.4 30091.8,12782 30329.8,12786.8 30359.8,12804 30466,12823 30587,12855 30769,12906 31039,12965.8 31246,12999.4 31362,13021 31436.8,13054 31551,13101 31721,13157.2 31906,13193 32024,13244 32212,13248.4 32227.2,13248.3 32227.2,13308 32435),(12682 29336,12685 29338,12687 29350,12686 29353,12675 29354,12671 29352,12668 29340,12670 29337,12682 29336),(12827 30211,12821 30214,12815 30210,12816 30204,12819 30201,12826 30202,12827 30211),(12815 30112,12805 30112,12802 30111,12801 30102,12804 30095,12815 30095,12822 30099,12823 30108,12815 30112),(12867 30454,12870 30456,12875 30474,12874 30476,12858 30480,12852 30478,12848 30461,12849 30459,12867 30454),(13098 31450,13106 31455,13107 31459,13105 31465,13091 31470,13085 31466,13084 31461,13086 31455,13098 31450),(13156 31649,13142 31653,13138 31652,13135 31641,13138 31635,13149 31634,13152 31636,13156 31649),(13321 32292,13318 32290,13316 32282,13317 32278,13332 32274,13335 32289,13321 32292),(13440 32406,13441.8 32405.7,13442 32406,13440 32406)))\"\n",
    "loads(mp_via_wkt_result)"
   ]
  }
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