From 159e769bc32d1e34a40967493f08dfc776ec1a5a Mon Sep 17 00:00:00 2001
From: mwinter <mwinter@unboundedpress.org>
Date: Mon, 27 May 2024 11:47:51 +0200
Subject: [PATCH] backup before cleanup

---
 compact_sets_extended_simplified.ipynb | 2652 ++++++++++--------------
 1 file changed, 1067 insertions(+), 1585 deletions(-)

diff --git a/compact_sets_extended_simplified.ipynb b/compact_sets_extended_simplified.ipynb
index 5fd2650..56f64b9 100644
--- a/compact_sets_extended_simplified.ipynb
+++ b/compact_sets_extended_simplified.ipynb
@@ -594,7 +594,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 177,
+   "execution_count": 379,
    "id": "b0d17cc2-a181-4212-aba5-72b90cab2a84",
    "metadata": {},
    "outputs": [],
@@ -679,7 +679,7 @@
     "        def target_weight(edge, target, c_devs, voice):\n",
     "            candidate_diffs = []\n",
     "            for idx, dev in enumerate(c_devs):\n",
-    "                if(idx == 2):\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",
@@ -730,16 +730,16 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 359,
+   "execution_count": 374,
    "id": "a8592bc9-7e9e-4b6a-9eaa-4c4e3b69ce91",
    "metadata": {},
    "outputs": [],
    "source": [
-    "dims = (2, 3, 5)\n",
-    "root = (0, 0, 0)\n",
+    "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, 4, 3)"
+    "graph = generate_graph(chord_set, 2, 2, 3)"
    ]
   },
   {
@@ -1828,7 +1828,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 360,
+   "execution_count": 380,
    "id": "be01e4ae-e629-42ff-9d95-f77d510c13bf",
    "metadata": {
     "scrolled": true
@@ -1838,862 +1838,648 @@
      "name": "stdout",
      "output_type": "stream",
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-      "(-1474.582428595057, -1088.2687147302224, 111.73128526977735)\n",
-      "2\n",
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+      "(-1417.3793269254795, -919.3343277908667, -421.2893286562546)\n",
       "1000.0\n",
-      "((8, -1, -3), (6, -1, -2), (7, -1, -2))\n",
-      "(-1574.582428595057, -374.5824285950571, 11.731285269777345)\n",
-      "2\n",
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+      "(-1223.244329521642, -1019.3343277908667, -521.2893286562546)\n",
       "100.0\n",
-      "((8, -1, -3), (9, -1, -3), (7, -1, -2))\n",
-      "(-2176.5374294604444, -274.5824285950571, 111.73128526977735)\n",
-      "2\n",
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+      "(-1234.9756147914197, -919.3343277908667, -421.2893286562546)\n",
       "-100.0\n",
-      "((9, -2, -3), (9, -1, -3), (7, -1, -2))\n",
-      "(-1976.5374294604444, -74.58242859505708, 37.148856674720605)\n",
-      "2\n",
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+      "(-1034.9756147914197, -803.8015212605446, -221.2893286562546)\n",
       "-200.0\n",
-      "((9, -2, -3), (9, -1, -3), (13, -2, -4))\n",
-      "(-1560.8961424598915, 25.41757140494292, 137.1488566747206)\n",
-      "2\n",
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+      "(-934.9756147914197, -703.8015212605446, -1.846520395157654)\n",
       "-100.0\n",
-      "((10, -1, -4), (9, -1, -3), (13, -2, -4))\n",
-      "(-1360.8961424598915, -862.8511433252793, 337.1488566747206)\n",
-      "2\n",
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+      "(-734.9756147914197, -503.80152126054463, -33.020613926032524)\n",
       "-200.0\n",
-      "((10, -1, -4), (12, -2, -4), (13, -2, -4))\n",
-      "(-1360.8961424598915, -49.164857190114276, 337.1488566747206)\n",
-      "1\n",
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+      "(-734.9756147914197, -419.3343277908667, -33.020613926032524)\n",
       "0.0\n",
-      "((10, -1, -4), (15, -2, -5), (13, -2, -4))\n",
-      "(-51.119858055501254, 650.8351428098857, 1037.1488566747207)\n",
-      "0\n",
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+      "(-301.8465203951573, 280.6656722091333, 666.9793860739675)\n",
       "-700.0\n",
-      "((16, -3, -5), (15, -2, -5), (13, -2, -4))\n",
-      "(-551.1198580555013, 39.10385754010815, 537.1488566747207)\n",
-      "1\n",
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+      "(-801.8465203951573, -219.33432779086672, 11.83976574000792)\n",
       "500.0\n",
-      "((16, -3, -5), (11, -1, -4), (13, -2, -4))\n",
-      "(-351.11985805550125, 35.19385580933323, 737.1488566747207)\n",
-      "1\n",
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+      "(-517.3793269254793, -19.334327790866723, 211.83976574000792)\n",
       "-200.0\n",
-      "((16, -3, -5), (14, -3, -4), (13, -2, -4))\n",
-      "(-1251.1198580555013, -864.8061441906668, -51.11985805550182)\n",
-      "2\n",
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+      "(-1417.3793269254793, -919.3343277908667, -421.2893286562545)\n",
       "900.0\n",
-      "((16, -3, -5), (14, -3, -4), (17, -3, -5))\n",
-      "(-1351.1198580555013, -649.1648571901144, -151.11985805550182)\n",
-      "2\n",
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+      "(-1490.115235125379, -1019.3343277908667, -521.2893286562545)\n",
       "100.0\n",
-      "((16, -3, -5), (15, -2, -5), (17, -3, -5))\n",
-      "(-47.20985632472639, 450.8351428098856, 948.8801419444982)\n",
-      "0\n",
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+      "(-390.11523512537906, 80.66567220913328, 311.83976574000803)\n",
       "-1100.0\n",
-      "((13, -1, -5), (15, -2, -5), (17, -3, -5))\n",
-      "(-1347.2098563247264, -849.1648571901144, -35.47857105494927)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
+      "(-1690.115235125379, -1219.3343277908666, -721.2893286562545)\n",
       "1300.0\n",
-      "((13, -1, -5), (15, -2, -5), (18, -2, -6))\n",
-      "(-1547.2098563247264, -1049.1648571901144, 39.10385754010804)\n",
-      "2\n",
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+      "(-1890.115235125379, -1152.463422187129, -921.2893286562545)\n",
       "200.0\n",
-      "((13, -1, -5), (15, -2, -5), (12, -1, -4))\n",
-      "(-1647.2098563247264, -1260.896142459892, -60.89614245989196)\n",
-      "2\n",
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+      "(-1519.3343277908666, -1252.463422187129, -1021.2893286562545)\n",
       "100.0\n",
-      "((13, -1, -5), (11, -1, -4), (12, -1, -4))\n",
-      "(41.05885840549604, 539.103857540108, 1739.103857540108)\n",
-      "0\n",
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+      "(-34.9756147914195, 547.536577812871, 778.7106713437455)\n",
       "-1800.0\n",
-      "((9, 0, -4), (11, -1, -4), (12, -1, -4))\n",
-      "(-1358.941141594504, -860.896142459892, -47.20985632472684)\n",
-      "2\n",
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+      "(-1434.9756147914195, -852.463422187129, -466.14970832229494)\n",
       "1400.0\n",
-      "((9, 0, -4), (11, -1, -4), (14, -1, -5))\n",
-      "(-833.5235701895613, -60.89614245989196, 752.7901436752732)\n",
-      "1\n",
+      "((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1))\n",
+      "(-634.9756147914195, -52.46342218712903, 178.7106713437455)\n",
       "-800.0\n",
-      "((15, -1, -6), (11, -1, -4), (14, -1, -5))\n",
-      "(-933.5235701895613, -49.16485719011442, 652.7901436752732)\n",
-      "1\n",
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+      "(-538.777136051964, -152.46342218712903, 78.7106713437455)\n",
       "100.0\n",
-      "((15, -1, -6), (15, -2, -5), (14, -1, -5))\n",
-      "(-833.5235701895613, -19.837284054396832, 752.7901436752732)\n",
-      "1\n",
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+      "(-438.777136051964, -52.46342218712903, 59.26786308264832)\n",
       "-100.0\n",
-      "((15, -1, -6), (18, -1, -7), (14, -1, -5))\n",
-      "(-733.5235701895613, 39.10385754010804, 852.7901436752732)\n",
-      "1\n",
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+      "(-338.777136051964, -71.90623044822655, 159.26786308264832)\n",
       "-100.0\n",
-      "((15, -1, -6), (11, -1, -4), (14, -1, -5))\n",
-      "(-2033.5235701895613, -1260.896142459892, -19.837284054396832)\n",
-      "2\n",
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+      "(-1638.7771360519641, -1371.9062304482266, -669.9512295828392)\n",
       "1300.0\n",
-      "((15, -1, -6), (11, -1, -4), (19, -1, -7))\n",
-      "(-1833.5235701895613, -1060.896142459892, 68.43143067582582)\n",
-      "2\n",
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+      "(-1438.7771360519641, -1052.463422187129, -469.95122958283923)\n",
       "-200.0\n",
-      "((15, -1, -6), (11, -1, -4), (15, 0, -6))\n",
-      "(-1733.5235701895613, -960.896142459892, -35.47857105494927)\n",
-      "2\n",
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+      "(-1338.7771360519641, -952.463422187129, -250.50842132174193)\n",
       "-100.0\n",
-      "((15, -1, -6), (11, -1, -4), (18, -2, -6))\n",
-      "(-833.5235701895613, -19.837284054396832, 864.5214289450507)\n",
-      "1\n",
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+      "(-438.77713605196413, -52.46342218712903, 59.26786308264832)\n",
       "-900.0\n",
-      "((15, -1, -6), (18, -1, -7), (18, -2, -6))\n",
-      "(-1433.5235701895613, -619.8372840543968, 82.11771681099083)\n",
-      "2\n",
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+      "(-1038.7771360519641, -652.463422187129, 49.491578678258065)\n",
       "600.0\n",
-      "((15, -1, -6), (18, -1, -7), (17, 0, -7))\n",
-      "(-733.5235701895613, -31.568569324174405, 782.1177168109908)\n",
-      "1\n",
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+      "(-338.77713605196413, 47.53657781287097, 159.26786308264832)\n",
       "-700.0\n",
-      "((15, -1, -6), (14, 0, -6), (17, 0, -7))\n",
-      "(-533.5235701895613, -35.47857105494944, 982.1177168109908)\n",
-      "1\n",
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+      "(-138.77713605196413, 92.39695747891113, 359.2678630826483)\n",
       "-200.0\n",
-      "((15, -1, -6), (17, -2, -6), (17, 0, -7))\n",
-      "(-221.79228491978347, 164.52142894505056, 1182.1177168109907)\n",
-      "0\n",
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+      "(61.222863948035865, 292.39695747891113, 447.5365778128707)\n",
       "-200.0\n",
-      "((19, -2, -7), (17, -2, -6), (17, 0, -7))\n",
-      "(-321.79228491978347, 64.52142894505056, 491.8940012153812)\n",
-      "1\n",
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+      "(-38.777136051964135, 116.3624842819959, 347.5365778128707)\n",
       "100.0\n",
-      "((19, -2, -7), (17, -2, -6), (22, -2, -8))\n",
-      "(-121.79228491978347, -10.060999650006352, 691.8940012153812)\n",
-      "1\n",
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+      "(-421.2893286562545, 316.3624842819959, 547.5365778128707)\n",
       "-200.0\n",
-      "((19, -2, -7), (23, -3, -8), (22, -2, -8))\n",
-      "(-96.37471351484044, 289.93900034999365, 991.8940012153812)\n",
-      "0\n",
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+      "(-121.2893286562545, 461.2228639480362, 847.5365778128707)\n",
       "-300.0\n",
-      "((25, -3, -9), (23, -3, -8), (22, -2, -8))\n",
-      "(-1796.3747135148406, -1410.0609996500064, -98.32971438022855)\n",
-      "2\n",
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+      "(-1821.2893286562544, -1007.6030425210887, -852.4634221871293)\n",
       "1700.0\n",
-      "((25, -3, -9), (23, -3, -8), (28, -4, -9))\n",
-      "(-1596.3747135148406, -1210.0609996500064, -10.060999650006238)\n",
-      "2\n",
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+      "(-1621.2893286562544, -807.6030425210887, -576.4289489902139)\n",
       "-200.0\n",
-      "((25, -3, -9), (23, -3, -8), (24, -3, -8))\n",
-      "(-896.3747135148406, -12.01600051539367, 689.9390003499938)\n",
-      "1\n",
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+      "(-921.2893286562544, -107.6030425210887, 47.536577812870746)\n",
       "-700.0\n",
-      "((25, -3, -9), (25, -4, -8), (24, -3, -8))\n",
-      "(-996.3747135148406, -112.01600051539367, 905.5802873505462)\n",
-      "1\n",
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+      "(-1021.2893286562544, -207.6030425210887, 23.57105100978606)\n",
       "100.0\n",
-      "((25, -3, -9), (25, -4, -8), (25, -2, -9))\n",
-      "(-98.32971438022804, 287.98399948460633, 1305.5802873505463)\n",
-      "0\n",
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+      "(-621.2893286562544, 192.3969574789113, 347.53657781287075)\n",
       "-400.0\n",
-      "((27, -4, -9), (25, -4, -8), (25, -2, -9))\n",
-      "(-698.3297143802281, 3.6252864851589948, 705.5802873505463)\n",
-      "1\n",
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+      "(-1221.2893286562544, -407.6030425210887, -176.42894899021394)\n",
       "600.0\n",
-      "((27, -4, -9), (26, -3, -9), (25, -2, -9))\n",
-      "(-898.3297143802281, -196.374713514841, -84.64342824506309)\n",
-      "2\n",
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+      "(-1078.3839498556015, -607.6030425210887, -376.42894899021394)\n",
       "200.0\n",
-      "((27, -4, -9), (26, -3, -9), (30, -4, -10))\n",
-      "(-898.3297143802281, -196.374713514841, 799.7152847543846)\n",
-      "1\n",
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+      "(-1078.3839498556015, -607.6030425210887, -109.55804338647647)\n",
       "0.0\n",
-      "((27, -4, -9), (26, -3, -9), (30, -5, -9))\n",
-      "(-998.3297143802281, -2.239716111003304, 699.7152847543846)\n",
-      "1\n",
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+      "(-1178.3839498556015, -440.73213691735117, -209.55804338647647)\n",
       "100.0\n",
-      "((27, -4, -9), (31, -6, -9), (30, -5, -9))\n",
-      "(-798.3297143802281, 197.7602838889967, 584.0739977538315)\n",
-      "2\n",
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+      "(-627.0458507821862, -240.73213691735117, -9.55804338647647)\n",
       "-200.0\n",
-      "((27, -4, -9), (31, -6, -9), (29, -6, -8))\n",
-      "(-102.23971611100296, 1097.7602838889966, 1484.0739977538315)\n",
-      "0\n",
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+      "(272.9541492178138, 659.2678630826488, 770.9991483524263)\n",
       "-900.0\n",
-      "((30, -6, -9), (31, -6, -9), (29, -6, -8))\n",
-      "(-802.239716111003, 11.446570024161815, 784.0739977538315)\n",
-      "1\n",
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       "700.0\n",
-      "((30, -6, -9), (33, -6, -10), (29, -6, -8))\n",
-      "(-13.971001380780308, 911.4465700241618, 1684.0739977538315)\n",
-      "0\n",
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+      "(472.9541492178138, 859.2678630826488, 970.9991483524263)\n",
       "-900.0\n",
-      "((26, -5, -8), (33, -6, -10), (29, -6, -8))\n",
-      "(-1213.9710013807803, -288.5534299758382, 97.76028388899658)\n",
-      "2\n",
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+      "(-727.0458507821862, -340.7321369173512, -25.09084991679856)\n",
       "1200.0\n",
-      "((26, -5, -8), (33, -6, -10), (31, -6, -9))\n",
-      "(-1413.9710013807803, -488.5534299758382, 9.491569158774496)\n",
-      "2\n",
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+      "(-927.0458507821862, -540.7321369173512, -42.68713778273866)\n",
       "200.0\n",
-      "((26, -5, -8), (33, -6, -10), (35, -7, -10))\n",
-      "(-1313.9710013807803, -388.5534299758382, -2.2397161110034176)\n",
-      "2\n",
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+      "(-827.0458507821862, -440.7321369173512, -13.359564647020647)\n",
       "-100.0\n",
-      "((26, -5, -8), (33, -6, -10), (31, -6, -9))\n",
-      "(-1202.239716111003, -388.5534299758382, -2.2397161110034176)\n",
-      "1\n",
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+      "(-827.0458507821862, -329.0008516475736, -13.359564647020647)\n",
       "0.0\n",
-      "((30, -6, -9), (33, -6, -10), (31, -6, -9))\n",
-      "(-1402.239716111003, -588.5534299758382, -90.5084308412255)\n",
-      "2\n",
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+      "(-1027.0458507821863, -529.0008516475737, -30.95585251296086)\n",
       "200.0\n",
-      "((30, -6, -9), (33, -6, -10), (35, -7, -10))\n",
-      "(-1502.239716111003, -688.5534299758382, 13.401570889549362)\n",
-      "2\n",
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+      "(-944.6421386481263, -629.0008516475737, -130.95585251296086)\n",
       "100.0\n",
-      "((30, -6, -9), (33, -6, -10), (32, -5, -10))\n",
-      "(-1002.239716111003, 15.356571754936795, 513.4015708895494)\n",
-      "1\n",
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+      "(-444.6421386481263, -129.00085164757365, 257.3128622172612)\n",
       "-500.0\n",
-      "((30, -6, -9), (30, -4, -10), (32, -5, -10))\n",
-      "(-902.239716111003, 115.3565717549368, 684.0739977538313)\n",
-      "1\n",
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+      "(-611.5130442518639, -29.000851647573654, 357.3128622172612)\n",
       "-100.0\n",
-      "((30, -6, -9), (30, -4, -10), (29, -6, -8))\n",
-      "(-602.239716111003, 99.71528475438424, 984.0739977538313)\n",
-      "1\n",
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+      "(-311.5130442518639, 270.99914835242635, 502.17324188330167)\n",
       "-300.0\n",
-      "((30, -6, -9), (29, -5, -9), (29, -6, -8))\n",
-      "(-1302.239716111003, -600.2847152456158, 101.67028561977145)\n",
-      "2\n",
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+      "(-1011.5130442518639, -429.00085164757365, -42.68713778273877)\n",
       "700.0\n",
-      "((30, -6, -9), (29, -5, -9), (28, -4, -9))\n",
-      "(-1702.239716111003, -1000.2847152456158, -4.194716976390396)\n",
-      "2\n",
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+      "(-1411.513044251864, -940.7321369173515, -442.6871377827388)\n",
       "400.0\n",
-      "((30, -6, -9), (29, -5, -9), (33, -7, -9))\n",
-      "(-1902.239716111003, -1200.2847152456156, -0.28471524561552997)\n",
-      "2\n",
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+      "(-1527.045850782186, -1140.7321369173515, -642.6871377827388)\n",
       "200.0\n",
-      "((30, -6, -9), (29, -5, -9), (30, -5, -9))\n",
-      "(-1802.239716111003, -602.2397161110033, 99.71528475438447)\n",
-      "2\n",
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+      "(-1427.045850782186, -1040.7321369173515, -338.7771360519639)\n",
       "-100.0\n",
-      "((30, -6, -9), (31, -6, -9), (30, -5, -9))\n",
-      "(1.670285619771903, 997.7602838889967, 1699.7152847543844)\n",
-      "0\n",
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+      "(172.9541492178139, 559.2678630826485, 670.9991483524263)\n",
       "-1600.0\n",
-      "((27, -4, -9), (31, -6, -9), (30, -5, -9))\n",
-      "(13.401570889549873, 897.7602838889967, 1599.7152847543844)\n",
-      "0\n",
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+      "(72.95414921781389, 184.68543448759146, 570.9991483524263)\n",
       "100.0\n",
-      "((31, -5, -10), (31, -6, -9), (30, -5, -9))\n",
-      "(1.670285619771903, 997.7602838889967, 1699.7152847543844)\n",
-      "0\n",
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+      "(-30.95585251296106, 284.68543448759146, 670.9991483524263)\n",
       "-100.0\n",
-      "((27, -4, -9), (31, -6, -9), (30, -5, -9))\n",
-      "(-1200.2847152456152, -702.2397161110033, -0.28471524561564365)\n",
-      "2\n",
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+      "(-1730.955852512961, -1415.3145655124085, -917.2695663777957)\n",
       "1700.0\n",
-      "((29, -5, -9), (31, -6, -9), (30, -5, -9))\n",
-      "(-1100.2847152456152, -398.32971438022844, 99.71528475438436)\n",
-      "2\n",
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+      "(-1813.359564647021, -1315.3145655124085, -817.2695663777957)\n",
       "-100.0\n",
-      "((29, -5, -9), (28, -4, -9), (30, -5, -9))\n",
-      "(-800.2847152456152, -98.32971438022844, 13.401570889549248)\n",
-      "2\n",
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+      "(-1401.6282793772432, -1015.3145655124085, -517.2695663777957)\n",
       "-300.0\n",
-      "((29, -5, -9), (28, -4, -9), (32, -5, -10))\n",
-      "(-172.91214297528495, 1301.6702856197717, 1413.4015708895492)\n",
-      "0\n",
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+      "(-1.6282793772431887, 384.68543448759146, 496.4167197573694)\n",
       "-1400.0\n",
-      "((33, -5, -11), (28, -4, -9), (32, -5, -10))\n",
-      "(-1372.912142975285, -559.2258568401201, 213.40157088954925)\n",
-      "2\n",
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+      "(-1201.6282793772432, -815.3145655124085, -113.35956464702076)\n",
       "1200.0\n",
-      "((33, -5, -11), (36, -5, -12), (32, -5, -10))\n",
-      "(-872.912142975285, 11.446570024162043, 713.4015708895492)\n",
-      "1\n",
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+      "(-701.6282793772432, -315.31456551240854, 0.32672148814447155)\n",
       "-500.0\n",
-      "((33, -5, -11), (33, -6, -10), (32, -5, -10))\n",
-      "(-90.50843084122494, 611.446570024162, 1313.4015708895492)\n",
-      "0\n",
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+      "(-101.62827937724319, 284.68543448759146, 396.4167197573695)\n",
       "-600.0\n",
-      "((34, -7, -10), (33, -6, -10), (32, -5, -10))\n",
-      "(9.491569158775064, 711.446570024162, 1595.8052830236095)\n",
-      "0\n",
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+      "(-1.6282793772431887, 110.10300589253438, 496.4167197573695)\n",
       "-100.0\n",
-      "((34, -7, -10), (33, -6, -10), (33, -7, -9))\n",
-      "(-490.50843084122494, 7.536568293387177, 1095.8052830236095)\n",
-      "1\n",
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+      "(-776.2107079723003, -389.8969941074656, -3.583280242630508)\n",
       "500.0\n",
-      "((34, -7, -10), (36, -8, -10), (33, -7, -9))\n",
-      "(5.581567428000199, 707.5365682933872, 1795.8052830236095)\n",
-      "0\n",
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+      "(-76.21070797230027, 310.1030058925344, 421.8342911623123)\n",
       "-700.0\n",
-      "((37, -9, -10), (36, -8, -10), (33, -7, -9))\n",
-      "(-6.149717841777488, 807.5365682933872, 1895.8052830236095)\n",
-      "0\n",
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+      "(-291.851994972853, 410.1030058925344, 521.8342911623123)\n",
       "-100.0\n",
-      "((33, -8, -9), (36, -8, -10), (33, -7, -9))\n",
-      "(82.11899688844449, 1007.5365682933872, 2095.8052830236093)\n",
-      "0\n",
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+      "(-91.85199497285299, 335.52057729747736, 721.8342911623123)\n",
       "-200.0\n",
-      "((29, -7, -8), (36, -8, -10), (33, -7, -9))\n",
-      "(-1817.8810031115554, -892.4634317066128, -78.77714557144827)\n",
-      "2\n",
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+      "(-1991.851994972853, -1289.8969941074656, -1178.1657088376878)\n",
       "1900.0\n",
-      "((29, -7, -8), (36, -8, -10), (39, -8, -11))\n",
-      "(-1617.8810031115554, -692.4634317066128, -31.56728924672143)\n",
-      "2\n",
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+      "(-1791.851994972853, -1089.8969941074656, -703.583280242631)\n",
       "-200.0\n",
-      "((29, -7, -8), (36, -8, -10), (28, -7, -7))\n",
-      "(-717.8810031115554, -15.92600224616831, 868.4327107532786)\n",
-      "1\n",
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+      "(-891.8519949728529, -189.89699410746562, 41.27709942340914)\n",
       "-900.0\n",
-      "((29, -7, -8), (28, -6, -8), (28, -7, -7))\n",
-      "(-617.8810031115554, 84.07399775383169, 786.0289986192189)\n",
-      "1\n",
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+      "(-791.8519949728529, -89.89699410746562, 21.834291162312184)\n",
       "-100.0\n",
-      "((29, -7, -8), (28, -6, -8), (27, -5, -8))\n",
-      "(-102.23971611100274, 284.0739977538317, 986.0289986192189)\n",
-      "0\n",
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+      "(-591.8519949728529, -276.21070797230016, 221.83429116231218)\n",
       "-200.0\n",
-      "((30, -6, -9), (28, -6, -8), (27, -5, -8))\n",
-      "(72.34271248405446, 184.0739977538317, 886.0289986192189)\n",
-      "0\n",
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+      "(-691.8519949728529, -376.21070797230016, 10.10300589253427)\n",
       "100.0\n",
-      "((24, -5, -7), (28, -6, -8), (27, -5, -8))\n",
-      "(-727.6572875159455, -615.9260022461683, -25.702286650559245)\n",
-      "2\n",
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+      "(-1491.851994972853, -1176.2107079723, -678.1657088376878)\n",
       "800.0\n",
-      "((24, -5, -7), (28, -6, -8), (23, -4, -7))\n",
-      "(-127.65728751594554, -15.92600224616831, 1570.3877116186657)\n",
-      "1\n",
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+      "(-891.8519949728529, -505.53828110801805, -78.16570883768782)\n",
       "-600.0\n",
-      "((24, -5, -7), (28, -6, -8), (27, -6, -7))\n",
-      "(-827.6572875159455, -715.9260022461683, -13.971001380781104)\n",
-      "2\n",
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+      "(-1591.851994972853, -1205.538281108018, -503.58328024263096)\n",
       "700.0\n",
-      "((24, -5, -7), (28, -6, -8), (27, -5, -8))\n",
-      "(-327.65728751594554, -12.016000515393443, 486.0289986192189)\n",
-      "1\n",
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+      "(-817.2695663777959, -705.538281108018, -3.5832802426309627)\n",
       "-500.0\n",
-      "((24, -5, -7), (25, -4, -8), (27, -5, -8))\n",
-      "(-527.6572875159455, -212.01600051539344, -29.61228838133428)\n",
-      "2\n",
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+      "(-1017.2695663777959, -630.955852512961, -203.58328024263096)\n",
       "200.0\n",
-      "((24, -5, -7), (25, -4, -8), (26, -6, -7))\n",
-      "(-1227.6572875159454, -912.0160005153934, -98.329714380229)\n",
-      "2\n",
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+      "(-1717.2695663777959, -1330.955852512961, -629.0008516475741)\n",
       "700.0\n",
-      "((24, -5, -7), (25, -4, -8), (28, -4, -9))\n",
-      "(-1327.6572875159454, -584.643428245063, -198.329714380229)\n",
-      "2\n",
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+      "(-1817.2695663777959, -1115.3145655124083, -729.0008516475741)\n",
       "100.0\n",
-      "((24, -5, -7), (30, -4, -10), (28, -4, -9))\n",
-      "(-827.6572875159454, -84.64342824506298, -13.971001380781217)\n",
-      "2\n",
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+      "(-1113.359564647021, -615.3145655124083, -229.0008516475741)\n",
       "-500.0\n",
-      "((24, -5, -7), (30, -4, -10), (27, -5, -8))\n",
-      "(-227.65728751594543, 87.98399948460656, 586.0289986192188)\n",
-      "1\n",
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+      "(-513.359564647021, -15.314565512408308, 215.8595280184661)\n",
       "-600.0\n",
-      "((24, -5, -7), (25, -4, -8), (27, -5, -8))\n",
-      "(-15.926002246167798, 187.98399948460656, 686.0289986192188)\n",
-      "0\n",
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+      "(-652.9663784506586, 84.68543448759169, 315.8595280184661)\n",
       "-100.0\n",
-      "((28, -6, -8), (25, -4, -8), (27, -5, -8))\n",
-      "(-415.9260022461678, -29.612288381333656, 286.0289986192188)\n",
-      "1\n",
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+      "(-1052.9663784506586, -786.095472846921, -84.14047198153389)\n",
       "400.0\n",
-      "((28, -6, -8), (26, -6, -7), (27, -5, -8))\n",
-      "(-12.01600051539296, 170.38771161866634, 486.0289986192188)\n",
-      "0\n",
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+      "(-697.8267581166988, -586.095472846921, 115.85952801846611)\n",
       "-200.0\n",
-      "((25, -4, -8), (26, -6, -7), (27, -5, -8))\n",
-      "(-0.28471524561496153, 70.38771161866634, 386.0289986192188)\n",
-      "0\n",
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+      "(-797.8267581166988, -566.6526645858237, 15.859528018466108)\n",
       "100.0\n",
-      "((29, -5, -9), (26, -6, -7), (27, -5, -8))\n",
-      "(-12.01600051539296, 170.38771161866634, 486.0289986192188)\n",
-      "1\n",
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+      "(-697.8267581166988, -466.6526645858237, 4.128242748688194)\n",
       "-100.0\n",
-      "((25, -4, -8), (26, -6, -7), (27, -5, -8))\n",
-      "(-27.657287515945427, 470.38771161866634, 786.0289986192188)\n",
-      "0\n",
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+      "(-397.8267581166988, -166.6526645858237, -11.513044251864414)\n",
       "-300.0\n",
-      "((24, -5, -7), (26, -6, -7), (27, -5, -8))\n",
-      "(-727.6572875159454, -25.702286650558563, 86.02899861921878)\n",
-      "1\n",
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+      "(-1097.8267581166988, -866.6526645858237, -52.96637845065902)\n",
       "700.0\n",
-      "((24, -5, -7), (23, -4, -7), (27, -5, -8))\n",
-      "(-2015.9260022461679, -225.70228665055856, -113.97100138078122)\n",
-      "1\n",
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+      "(-1221.7922849197837, -1066.6526645858237, -252.96637845065902)\n",
       "200.0\n",
-      "((27, -6, -8), (23, -4, -7), (27, -5, -8))\n",
-      "(-2912.016000515393, -125.70228665055856, -13.971001380781217)\n",
-      "1\n",
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+      "(-1121.7922849197837, -854.9213793160461, -152.96637845065902)\n",
       "-100.0\n",
-      "((23, -4, -8), (23, -4, -7), (27, -5, -8))\n",
-      "(-1927.6572875159457, -25.702286650558563, 86.02899861921878)\n",
-      "2\n",
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+      "(-1021.7922849197837, -790.6181913889084, -52.96637845065902)\n",
       "-100.0\n",
-      "((23, -5, -7), (23, -4, -7), (27, -5, -8))\n",
-      "(-2127.6572875159454, -225.70228665055856, 272.34271248405344)\n",
-      "1\n",
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+      "(-1221.7922849197837, -990.6181913889084, -176.9319052537437)\n",
       "200.0\n",
-      "((23, -5, -7), (23, -4, -7), (25, -5, -7))\n",
-      "(-2227.6572875159454, -325.70228665055856, 60.61142721427552)\n",
-      "2\n",
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+      "(-1245.7578117228686, -1090.6181913889084, -276.9319052537437)\n",
       "100.0\n",
-      "((23, -5, -7), (23, -4, -7), (21, -4, -6))\n",
-      "(-3141.34357365111, -425.70228665055856, -39.38857278572448)\n",
-      "2\n",
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+      "(-1421.7922849197837, -1190.6181913889084, -376.9319052537437)\n",
       "100.0\n",
-      "((20, -5, -6), (23, -4, -7), (21, -4, -6))\n",
-      "(-2841.34357365111, -55.02985978627589, 260.6114272142755)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, -1, -1))\n",
+      "(-1121.7922849197837, -308.105998784618, -76.93190525374371)\n",
       "-300.0\n",
-      "((20, -5, -6), (20, -5, -5), (21, -4, -6))\n",
-      "(-4241.343573651111, -255.0298597862759, 60.61142721427552)\n",
-      "2\n",
+      "((0, 0, 0, 0), (3, 0, -1, 0), (6, 0, -1, -1))\n",
+      "(-1210.060999650006, -508.105998784618, -276.9319052537437)\n",
       "200.0\n",
-      "((19, -5, -6), (20, -5, -5), (21, -4, -6))\n",
-      "(-3741.343573651111, 62.566428079663694, 560.6114272142755)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-1, 1, 0, 0), (2, 1, 0, -1))\n",
+      "(-710.0609996500059, -8.10599878461801, 103.62528648515934)\n",
       "-500.0\n",
-      "((19, -5, -6), (19, -3, -6), (21, -4, -6))\n",
-      "(-4441.343573651111, -637.4335719203364, -27.657287515946564)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0))\n",
+      "(-1410.060999650006, -708.105998784618, -321.7922849197838)\n",
       "700.0\n",
-      "((19, -5, -6), (19, -3, -6), (25, -5, -7))\n",
-      "(-3541.343573651111, 58.656426348889, 872.3427124840534)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0))\n",
+      "(-510.0609996500059, 191.894001215382, 303.62528648515934)\n",
       "-900.0\n",
-      "((19, -5, -6), (22, -5, -6), (25, -5, -7))\n",
-      "(-2827.6572875159454, -41.343573651111, 772.3427124840534)\n",
-      "0\n",
+      "((0, 0, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0))\n",
+      "(-610.0609996500059, -498.32971438022764, 203.62528648515934)\n",
       "100.0\n",
-      "((22, -5, -7), (22, -5, -6), (25, -5, -7))\n",
-      "(-3427.6572875159454, -641.343573651111, 60.61142721427552)\n",
-      "2\n",
+      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
+      "(-1210.060999650006, -823.7472857851706, -396.37471351484066)\n",
       "600.0\n",
-      "((22, -5, -7), (22, -5, -6), (21, -4, -6))\n",
-      "(-1539.3885727857232, 158.656426348889, 860.6114272142755)\n",
-      "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",
-      "((19, -4, -6), (22, -5, -6), (21, -4, -6))\n",
-      "(-443.2985745164981, 258.656426348889, 960.6114272142755)\n",
-      "0\n",
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+      "(-310.0609996500059, -43.19009404626809, 187.98399948460644)\n",
       "-100.0\n",
-      "((23, -6, -6), (22, -5, -6), (21, -4, -6))\n",
-      "(60.61142721427683, 558.656426348889, 1260.6114272142754)\n",
-      "0\n",
+      "((0, 0, 0, 0), (-1, -1, 0, 1), (2, -1, 0, 0))\n",
+      "(-241.23509318088088, 256.8099059537319, 487.98399948460644)\n",
       "-300.0\n",
-      "((20, -4, -6), (22, -5, -6), (21, -4, -6))\n",
-      "(-939.3885727857232, -441.343573651111, -55.0298597862768)\n",
-      "2\n",
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+      "(-1241.235093180881, -743.1900940462681, -245.14509491165597)\n",
       "1000.0\n",
-      "((20, -4, -6), (22, -5, -6), (20, -5, -5))\n",
-      "(-1039.3885727857232, -541.343573651111, -43.29857451649957)\n",
-      "2\n",
+      "((0, 0, 0, 0), (2, -1, 0, 0), (4, -2, 0, 0))\n",
+      "(-1229.5038079111032, -843.1900940462681, -345.145094911656)\n",
       "100.0\n",
-      "((20, -4, -6), (22, -5, -6), (24, -6, -6))\n",
-      "(-1239.3885727857232, -741.343573651111, -39.38857278572459)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (0, -1, 1, 0))\n",
+      "(-1429.5038079111032, -1043.190094046268, -341.2350931808811)\n",
       "200.0\n",
-      "((20, -4, -6), (22, -5, -6), (21, -4, -6))\n",
-      "(-1139.3885727857232, -753.0748589208888, 60.61142721427541)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
+      "(-1174.3641875771434, -943.1900940462681, -241.2350931808811)\n",
       "-100.0\n",
-      "((20, -4, -6), (18, -4, -5), (21, -4, -6))\n",
-      "(-639.3885727857232, 62.566428079663694, 560.6114272142754)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (2, 1, 0, -1))\n",
+      "(-674.3641875771434, -443.1900940462681, 27.59081328824402)\n",
       "-500.0\n",
-      "((20, -4, -6), (19, -3, -6), (21, -4, -6))\n",
-      "(-439.3885727857232, -53.0748589208888, 760.6114272142754)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (-1, 1, 0, 0))\n",
+      "(-474.3641875771434, -243.1900940462681, 23.680811557469042)\n",
       "-200.0\n",
-      "((20, -4, -6), (18, -4, -5), (21, -4, -6))\n",
-      "(-1239.3885727857232, -537.4335719203364, -39.38857278572459)\n",
-      "2\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (2, -1, 0, 0))\n",
+      "(-1274.3641875771434, -1043.190094046268, -229.5038079111032)\n",
       "800.0\n",
-      "((20, -4, -6), (19, -3, -6), (21, -4, -6))\n",
-      "(-1339.3885727857232, -637.4335719203364, 64.52142894505005)\n",
-      "2\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, -1, -1))\n",
+      "(-1298.3297143802283, -1143.190094046268, -329.5038079111032)\n",
       "100.0\n",
-      "((20, -4, -6), (19, -3, -6), (18, -2, -6))\n",
-      "(64.52142894505141, 562.5664280796636, 1264.52142894505)\n",
-      "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",
-      "((17, -2, -6), (19, -3, -6), (18, -2, -6))\n",
-      "(-735.4785710549486, -237.43357192033636, -33.523570189562406)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 1, 0))\n",
+      "(-898.3297143802283, -743.1900940462681, 70.4961920888968)\n",
       "800.0\n",
-      "((17, -2, -6), (19, -3, -6), (16, -1, -6))\n",
-      "(60.61142721427666, 762.5664280796636, 966.4764298104376)\n",
-      "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",
-      "((20, -4, -6), (19, -3, -6), (16, -1, -6))\n",
-      "(-139.38857278572334, -47.20985632472673, 766.4764298104376)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 1, 0))\n",
+      "(-756.8763801814338, 56.80990595373191, 287.9839994846068)\n",
       "200.0\n",
-      "((20, -4, -6), (13, -1, -5), (16, -1, -6))\n",
-      "(-1639.3885727857232, -1547.2098563247268, 39.103857540107356)\n",
-      "2\n",
+      "((0, 0, 0, 0), (3, 0, -1, 0), (6, 0, -1, -1))\n",
+      "(-1710.0609996500057, -1443.190094046268, -1212.0160005153932)\n",
       "1500.0\n",
-      "((20, -4, -6), (13, -1, -5), (12, -1, -4))\n",
-      "(-239.38857278572323, -147.20985632472684, 666.4764298104376)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-1, -1, 0, 1), (2, -1, 0, 0))\n",
+      "(-541.2350931808805, -43.19009404626809, 187.98399948460678)\n",
       "-1400.0\n",
-      "((20, -4, -6), (13, -1, -5), (16, -1, -6))\n",
-      "(-1439.3885727857232, -1347.2098563247268, 146.9251410791103)\n",
-      "2\n",
+      "((0, 0, 0, 0), (2, -1, 0, 0), (5, -1, 0, -1))\n",
+      "(-1741.2350931808805, -1243.190094046268, -745.1450949116556)\n",
       "1200.0\n",
-      "((20, -4, -6), (13, -1, -5), (19, -4, -5))\n",
-      "(-1339.3885727857232, -251.1198580555017, 246.9251410791103)\n",
-      "2\n",
+      "((0, 0, 0, 0), (2, -1, 0, 0), (4, -2, 0, 0))\n",
+      "(-1347.100095777043, -1143.190094046268, -645.1450949116556)\n",
       "-100.0\n",
-      "((20, -4, -6), (17, -3, -5), (19, -4, -5))\n",
-      "(60.61142721427677, 446.9251410791111, 1646.9251410791103)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-3, 2, 0, 0), (-1, 1, 0, 0))\n",
+      "(-241.23509318088054, 256.8099059537319, 754.8549050883444)\n",
       "-1400.0\n",
-      "((20, -4, -6), (18, -4, -5), (19, -4, -5))\n",
-      "(-1139.3885727857232, -753.0748589208889, 60.61142721427541)\n",
-      "2\n",
+      "((0, 0, 0, 0), (2, -1, 0, 0), (4, -2, 0, 0))\n",
+      "(-1258.8313810468205, -943.1900940462681, -445.14509491165563)\n",
       "1200.0\n",
-      "((20, -4, -6), (18, -4, -5), (21, -4, -6))\n",
-      "(-639.3885727857232, 62.56642807966358, 560.6114272142754)\n",
-      "1\n",
+      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
+      "(-758.8313810468205, -372.5176671819861, 54.85490508834437)\n",
       "-500.0\n",
-      "((20, -4, -6), (19, -3, -6), (21, -4, -6))\n",
-      "(-739.3885727857232, -37.43357192033642, 348.8801419444975)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (3, 0, -1, 0))\n",
+      "(-858.8313810468205, -472.5176671819861, 25.527331952626355)\n",
       "100.0\n",
-      "((20, -4, -6), (19, -3, -6), (17, -3, -5))\n",
-      "(-1339.3885727857232, -637.4335719203364, 64.52142894505005)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (0, -1, 1, 0))\n",
+      "(-1458.8313810468205, -1072.517667181986, -370.5626663165988)\n",
       "600.0\n",
-      "((20, -4, -6), (19, -3, -6), (18, -2, -6))\n",
-      "(-1139.3885727857232, -437.43357192033636, 60.61142721427541)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
+      "(-1139.3885727857232, -872.5176671819861, -170.56266631659878)\n",
       "-200.0\n",
-      "((20, -4, -6), (19, -3, -6), (21, -4, -6))\n",
-      "(-239.38857278572323, 146.9251410791112, 960.6114272142754)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1))\n",
+      "(-239.38857278572323, 27.4823328180139, 258.6564263488888)\n",
       "-900.0\n",
-      "((20, -4, -6), (18, -4, -5), (21, -4, -6))\n",
-      "(-55.02985978627521, 646.9251410791112, 1460.6114272142754)\n",
-      "0\n",
+      "((0, 0, 0, 0), (-1, -1, 0, 1), (2, -1, 0, 0))\n",
+      "(296.30823928713926, 527.4823328180139, 758.6564263488888)\n",
       "-500.0\n",
-      "((19, -5, -5), (18, -4, -5), (21, -4, -6))\n",
-      "(-1255.0298597862752, -553.0748589208888, -55.0298597862768)\n",
-      "2\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, 0, -2))\n",
+      "(-903.6917607128607, -672.5176671819861, 29.437333683400993)\n",
       "1200.0\n",
-      "((19, -5, -5), (18, -4, -5), (20, -5, -5))\n",
-      "(44.97014021372479, 746.9251410791112, 2058.656426348888)\n",
-      "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",
-      "((19, -5, -5), (18, -4, -5), (23, -5, -6))\n",
-      "(-1155.0298597862752, -453.0748589208888, -66.76114505605528)\n",
-      "2\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
+      "(-803.6917607128607, -572.5176671819861, 9.994525422303923)\n",
       "1200.0\n",
-      "((19, -5, -5), (18, -4, -5), (16, -4, -4))\n",
-      "(-755.0298597862752, -53.0748589208888, 1146.9251410791098)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (3, 0, -1, 0))\n",
+      "(-403.69176071286074, -172.5176671819861, -17.3780468480266)\n",
       "-400.0\n",
-      "((19, -5, -5), (18, -4, -5), (19, -4, -5))\n",
-      "(-1455.0298597862752, -753.0748589208888, -51.11985805550296)\n",
-      "2\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
+      "(-1103.6917607128607, -872.5176671819861, -58.83138104682121)\n",
       "700.0\n",
-      "((19, -5, -5), (18, -4, -5), (17, -3, -5))\n",
-      "(-55.02985978627521, 850.8351428098858, 1348.8801419444972)\n",
-      "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",
-      "((19, -5, -5), (15, -2, -5), (17, -3, -5))\n",
-      "(-455.0298597862752, 43.015139348336334, 948.8801419444972)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
+      "(-103.69176071286074, 51.4478596210987, 282.62195315197346)\n",
       "400.0\n",
-      "((19, -5, -5), (21, -6, -5), (17, -3, -5))\n",
-      "(-143.2985745164981, 243.01513934833633, 1148.8801419444972)\n",
-      "0\n",
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+      "(-219.33304771341363, 251.4478596210987, 482.62195315197346)\n",
       "-200.0\n",
-      "((23, -6, -6), (21, -6, -5), (17, -3, -5))\n",
-      "(-1443.298574516498, -1056.9848606516637, 143.0151393483352)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
+      "(-1519.3330477134136, -1048.5521403789012, -550.5071412442891)\n",
       "1300.0\n",
-      "((23, -6, -6), (21, -6, -5), (22, -6, -5))\n",
-      "(-643.2985745164981, 58.65642634888911, 943.0151393483352)\n",
-      "1\n",
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+      "(-719.3330477134136, -248.55214037890119, -17.378046848026543)\n",
       "-800.0\n",
-      "((23, -6, -6), (22, -5, -6), (22, -6, -5))\n",
-      "(-743.2985745164981, 29.328853213171158, 843.0151393483352)\n",
-      "1\n",
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+      "(-819.3330477134136, -503.6917607128607, -117.37804684802654)\n",
       "100.0\n",
-      "((23, -6, -6), (19, -6, -4), (22, -6, -5))\n",
-      "(-1443.298574516498, -670.6711467868288, 31.283854078557738)\n",
-      "2\n",
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+      "(-1519.3330477134136, -1203.6917607128607, -705.6467615782486)\n",
       "700.0\n",
-      "((23, -6, -6), (19, -6, -4), (18, -5, -4))\n",
-      "(-1343.298574516498, -570.6711467868288, -72.62614765221736)\n",
-      "2\n",
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+      "(-1419.3330477134136, -1033.0193338485788, -605.6467615782486)\n",
       "-100.0\n",
-      "((23, -6, -6), (19, -6, -4), (21, -7, -4))\n",
-      "(-643.2985745164981, -74.58114851760331, 627.3738523477826)\n",
-      "1\n",
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+      "(-719.3330477134136, -333.01933384857875, -17.378046848026543)\n",
       "-700.0\n",
-      "((23, -6, -6), (22, -8, -4), (21, -7, -4))\n",
-      "(-1443.298574516498, -874.5811485176033, -60.894862382439555)\n",
-      "2\n",
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+      "(-1519.3330477134136, -1133.0193338485788, -431.0643329831918)\n",
       "800.0\n",
-      "((23, -6, -6), (22, -8, -4), (25, -8, -5))\n",
-      "(-843.2985745164981, -29.61228838133343, 539.1051376175604)\n",
-      "1\n",
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+      "(-919.3330477134136, -533.0193338485788, -34.97433471396664)\n",
       "-600.0\n",
-      "((23, -6, -6), (26, -6, -7), (25, -8, -5))\n",
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      ]
@@ -2710,7 +2496,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 273,
+   "execution_count": 381,
    "id": "57c834bf-fee7-4ef4-b648-2173099fbb56",
    "metadata": {},
    "outputs": [],
@@ -2935,7 +2721,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 274,
+   "execution_count": 382,
    "id": "8912c650-a43d-4539-ae24-b5acf9bc543d",
    "metadata": {},
    "outputs": [
@@ -2943,1167 +2729,863 @@
      "name": "stdout",
      "output_type": "stream",
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-      "(-2201.452044601858, -1001.4520446018587, -32.62613813273333)\n",
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       "-100.0\n",
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-      "(-2401.452044601858, -815.1383307370238, -232.62613813273333)\n",
-      "2\n",
-      "200.0\n",
-      "((-11, 0, 3, 1), (-12, 0, 4, 1), (-12, 0, 3, 2))\n",
-      "(36.199768336392026, 884.8616692629762, 1467.3738618672667)\n",
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       "0\n",
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-      "(-763.800231663608, -34.58113899812122, 667.3738618672667)\n",
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       "1\n",
-      "800.0\n",
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-      "(-1563.800231663608, -834.5811389981212, 22.51348220122634)\n",
-      "2\n",
-      "800.0\n",
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-      "(-863.800231663608, 20.558481335838565, 722.5134822012263)\n",
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       "1\n",
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-      "(-763.800231663608, 8.827196066060935, 822.5134822012263)\n",
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       "1\n",
       "-100.0\n",
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-      "(-1463.800231663608, -691.1728039339391, -32.62613813273333)\n",
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       "2\n",
-      "700.0\n",
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-      "(-963.800231663608, -30.67113726734624, 467.37386186726667)\n",
-      "1\n",
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-      "(-32.626138132732876, 669.3288627326538, 1167.3738618672667)\n",
-      "0\n",
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-      "(-246.312424267898, 69.32886273265376, 567.3738618672667)\n",
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       "1\n",
-      "600.0\n",
-      "((-15, 0, 4, 2), (-14, 1, 3, 2), (-12, 0, 3, 2))\n",
-      "(71.28386359804199, 569.3288627326538, 1067.3738618672667)\n",
-      "0\n",
-      "-500.0\n",
-      "((-16, 2, 3, 2), (-14, 1, 3, 2), (-12, 0, 3, 2))\n",
-      "(-828.716136401958, -330.67113726734624, -15.02985026679346)\n",
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+      "(-682.7981879273588, -184.75318879274687, 19.156812938027997)\n",
       "2\n",
-      "900.0\n",
-      "((-16, 2, 3, 2), (-14, 1, 3, 2), (-13, 2, 2, 2))\n",
-      "(16.144243264082206, 669.3288627326538, 984.9701497332065)\n",
-      "0\n",
-      "-1000.0\n",
-      "((-11, 2, 2, 1), (-14, 1, 3, 2), (-13, 2, 2, 2))\n",
-      "(-1083.8557567359178, -430.67113726734624, -44.35742340251136)\n",
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+      "(-782.7981879273588, -284.75318879274687, 30.888098207805797)\n",
       "2\n",
-      "1100.0\n",
-      "((-11, 2, 2, 1), (-14, 1, 3, 2), (-16, 1, 4, 2))\n",
-      "(-483.8557567359178, 14.189242398693978, 555.6425765974886)\n",
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+      "(-798.4394749279113, 15.246811207253131, 330.8880982078058)\n",
       "1\n",
-      "-600.0\n",
-      "((-11, 2, 2, 1), (-9, 1, 2, 1), (-16, 1, 4, 2))\n",
-      "(41.95629046232415, 314.189242398694, 855.6425765974886)\n",
-      "0\n",
       "-300.0\n",
-      "((-19, 1, 5, 2), (-9, 1, 2, 1), (-16, 1, 4, 2))\n",
-      "(-13.183329871635635, 414.189242398694, 955.6425765974886)\n",
-      "0\n",
-      "-100.0\n",
-      "((-14, 1, 4, 1), (-9, 1, 2, 1), (-16, 1, 4, 2))\n",
-      "(-213.18332987163564, 17.990763659238695, 755.6425765974886)\n",
-      "1\n",
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       "200.0\n",
-      "((-14, 1, 4, 1), (-11, 1, 4, 0), (-16, 1, 4, 2))\n",
-      "(-1213.1833298716356, -982.0092363407613, -13.183329871636147)\n",
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+      "(-498.4394749279113, -27.65856759339954, 470.38643154121314)\n",
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+      "(-1198.4394749279113, -727.6585675933995, -25.703566728011992)\n",
       "2\n",
-      "1000.0\n",
-      "((-14, 1, 4, 1), (-11, 1, 4, 0), (-13, 1, 4, 1))\n",
-      "(-313.1833298716356, -82.00923634076128, 1384.8616692629762)\n",
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+      "(-298.4394749279113, 60.61014713682266, 874.296433271988)\n",
       "1\n",
       "-900.0\n",
-      "((-14, 1, 4, 1), (-11, 1, 4, 0), (-11, 0, 4, 1))\n",
-      "(86.81667012836442, 353.68757573210115, 1784.8616692629762)\n",
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+      "(-194.52947319713678, -39.38985286317734, 774.296433271988)\n",
       "0\n",
-      "-400.0\n",
-      "((-14, 1, 4, 1), (-15, 0, 4, 2), (-11, 0, 4, 1))\n",
-      "(-1113.1833298716356, -846.3124242678989, -32.62613813273356)\n",
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       "2\n",
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-      "((-14, 1, 4, 1), (-15, 0, 4, 2), (-12, 0, 3, 2))\n",
-      "(-63.800231663607974, 553.6875757321011, 1367.3738618672664)\n",
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       "0\n",
-      "-1400.0\n",
-      "((-16, 0, 3, 3), (-15, 0, 4, 2), (-12, 0, 3, 2))\n",
-      "(-863.800231663608, 69.32886273265376, 567.3738618672664)\n",
-      "1\n",
-      "800.0\n",
-      "((-16, 0, 3, 3), (-14, 1, 3, 2), (-12, 0, 3, 2))\n",
-      "(67.37386186726712, 769.3288627326538, 1267.3738618672664)\n",
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       "0\n",
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-      "((-13, 0, 3, 2), (-14, 1, 3, 2), (-12, 0, 3, 2))\n",
-      "(-532.6261381327329, -34.58113899812122, 667.3738618672664)\n",
-      "1\n",
-      "600.0\n",
-      "((-13, 0, 3, 2), (-11, -1, 3, 2), (-12, 0, 3, 2))\n",
-      "(-20.894852862955418, 365.4188610018788, 1067.3738618672664)\n",
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       "0\n",
-      "-400.0\n",
-      "((-9, -1, 2, 2), (-11, -1, 3, 2), (-12, 0, 3, 2))\n",
-      "(-1220.8948528629553, -834.5811389981212, -20.894852862956213)\n",
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+      "(-1913.972281458234, -12.0172805928471, 219.156812938028)\n",
       "2\n",
-      "1200.0\n",
-      "((-9, -1, 2, 2), (-11, -1, 3, 2), (-8, -1, 2, 2))\n",
-      "(-32.62613813273265, 465.4188610018788, 1279.1051471370438)\n",
-      "0\n",
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-      "(-1432.6261381327326, -934.5811389981212, -1.452044601858688)\n",
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       "2\n",
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-      "((-13, 0, 3, 2), (-11, -1, 3, 2), (-9, 0, 3, 1))\n",
-      "(-1032.6261381327326, -534.5811389981212, -36.53613986350865)\n",
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       "2\n",
-      "-400.0\n",
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-      "(-632.6261381327326, -22.849853728343305, 363.46386013649135)\n",
-      "1\n",
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-      "(-732.6261381327326, -30.671137267346268, 263.46386013649135)\n",
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       "1\n",
-      "100.0\n",
-      "((-13, 0, 3, 2), (-14, 1, 3, 2), (-9, -2, 3, 2))\n",
-      "(-332.62613813273265, -38.49114072889597, 663.4638601364913)\n",
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       "1\n",
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-      "(-69.66523425976993, 161.50885927110403, 863.4638601364913)\n",
-      "0\n",
       "-200.0\n",
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-      "(-50.222425998672634, 61.50885927110403, 763.4638601364913)\n",
-      "0\n",
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       "100.0\n",
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-      "(-36.53613986350746, 461.50885927110403, 1163.4638601364913)\n",
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       "0\n",
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-      "(-1736.5361398635075, -1238.491140728896, -38.49114072889597)\n",
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       "2\n",
-      "1700.0\n",
-      "((-10, -2, 3, 2), (-8, -3, 3, 2), (-7, -3, 3, 2))\n",
-      "(-1236.5361398635075, -36.53613986350854, 461.50885927110403)\n",
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       "1\n",
-      "-500.0\n",
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-      "(-1636.5361398635075, -436.53613986350854, -50.22242599867377)\n",
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       "2\n",
-      "400.0\n",
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-      "(-1436.5361398635075, -236.53613986350854, -5.362046332633668)\n",
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       "2\n",
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-      "(-1636.5361398635075, -436.53613986350854, -50.22242599867377)\n",
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       "2\n",
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-      "(-1036.5361398635075, 51.73257486671355, 549.7775740013262)\n",
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       "1\n",
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-      "(-1436.5361398635075, -348.26742513328645, 38.04628873154809)\n",
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       "2\n",
-      "400.0\n",
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-      "(-34.581138998120196, 351.73257486671355, 738.0462887315481)\n",
-      "0\n",
-      "-700.0\n",
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-      "(-234.5811389981202, -3.4070454672462347, 538.0462887315481)\n",
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       "1\n",
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-      "(-34.581138998120196, 36.09128786616128, 738.0462887315481)\n",
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       "1\n",
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       "-200.0\n",
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-      "(-234.5811389981202, -3.4070454672462347, 538.0462887315481)\n",
-      "1\n",
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-      "(-30.77961773757545, 396.59295453275377, 938.0462887315481)\n",
-      "0\n",
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-      "(-230.77961773757545, 36.09128786616128, 738.0462887315481)\n",
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+      "(-715.9272823236211, -13.972281458234647, 870.3864315412131)\n",
       "1\n",
-      "200.0\n",
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-      "(69.22038226242455, 882.9066683975889, 1038.046288731548)\n",
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       "0\n",
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-      "(-1459.998710403063, 82.90666839758887, 238.04628873154797)\n",
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       "2\n",
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-      "(114.08076192846488, 1082.9066683975889, 1238.046288731548)\n",
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       "0\n",
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-      "(-1563.9087121338375, 182.90666839758887, 338.046288731548)\n",
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       "2\n",
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-      "(-963.9087121338375, 4.917194335286126, 818.6034804704511)\n",
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       "1\n",
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       "2\n",
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-      "(-863.9087121338375, -50.22242599867354, 1038.046288731548)\n",
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-      "(-963.9087121338375, 4.917194335286155, 938.046288731548)\n",
-      "1\n",
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-      "(6.872195200674355, 504.9171943352861, 1438.046288731548)\n",
-      "0\n",
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-      "(-693.1278047993256, 8.827196066060992, 738.046288731548)\n",
-      "1\n",
       "700.0\n",
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-      "(-4.8590900691032175, 808.827196066061, 1538.046288731548)\n",
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-      "(6.872195200674355, 708.827196066061, 1438.046288731548)\n",
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       "0\n",
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-      "(10.782196931449334, 508.827196066061, 1238.046288731548)\n",
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       "0\n",
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-      "(-1289.2178030685507, -791.172803933939, 22.513482201225997)\n",
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       "2\n",
       "1300.0\n",
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-      "(-1389.2178030685507, -891.172803933939, 41.956290462323295)\n",
-      "2\n",
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       "100.0\n",
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-      "(-1289.2178030685507, -791.172803933939, 22.513482201225997)\n",
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       "2\n",
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-      "(-1189.2178030685507, -691.172803933939, 10.782196931448198)\n",
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       "2\n",
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-      "(-1289.2178030685507, -791.172803933939, 22.513482201225997)\n",
-      "2\n",
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-      "(-589.2178030685507, 20.558481335838678, 722.513482201226)\n",
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       "1\n",
       "-700.0\n",
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-      "(-689.2178030685507, 12.737197796835886, 622.513482201226)\n",
-      "1\n",
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-      "(-589.2178030685507, 20.558481335838678, 722.513482201226)\n",
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       "1\n",
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-      "(-489.21780306855067, 8.827196066061049, 822.513482201226)\n",
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       "1\n",
       "-100.0\n",
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-      "(-589.2178030685507, 20.558481335838678, 722.513482201226)\n",
-      "1\n",
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-      "(22.513482201227134, 520.5584813358387, 1222.513482201226)\n",
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-      "(34.24476747100488, 420.5584813358387, 1122.513482201226)\n",
-      "0\n",
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-      "(-265.7552325289951, -34.581138998121105, 822.513482201226)\n",
-      "1\n",
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-      "(-20.894852862955133, 365.4188610018789, 1222.513482201226)\n",
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       "0\n",
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-      "(-32.62613813273259, 465.4188610018789, 1322.513482201226)\n",
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       "0\n",
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-      "(-20.894852862955133, 365.4188610018789, 1222.513482201226)\n",
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       "0\n",
       "100.0\n",
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-      "(-32.62613813273259, 465.4188610018789, 1322.513482201226)\n",
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-      "(-732.6261381327326, -30.671137267346126, 622.513482201226)\n",
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       "1\n",
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-      "(-532.6261381327326, -34.581138998121105, 822.513482201226)\n",
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       "1\n",
       "-200.0\n",
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-      "(34.24476747100482, 265.4188610018789, 1122.513482201226)\n",
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       "0\n",
       "-300.0\n",
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-      "(-32.62613813273265, 465.4188610018789, 1322.513482201226)\n",
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-      "(-332.62613813273265, 53.687575732101266, 1022.513482201226)\n",
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-      "(-232.62613813273265, -1.4520446018584892, 1122.513482201226)\n",
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       "1\n",
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-      "(12.234241533307625, 398.54795539814154, 1522.513482201226)\n",
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       "0\n",
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-      "(-487.7657584666924, 10.279240667919112, 1022.513482201226)\n",
-      "1\n",
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-      "(36.19976833639225, 610.2792406679191, 1622.513482201226)\n",
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       "0\n",
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-      "(-763.8002316636077, 8.827196066060992, 822.513482201226)\n",
-      "1\n",
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-      "(6.872195200674355, 708.827196066061, 1522.513482201226)\n",
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       "0\n",
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       "1\n",
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-      "(-693.1278047993256, 8.827196066061049, 822.513482201226)\n",
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       "1\n",
       "-100.0\n",
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-      "(10.782196931449334, 508.82719606606105, 1322.513482201226)\n",
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       "0\n",
       "100.0\n",
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-      "(10.782196931449334, 508.82719606606105, 1322.513482201226)\n",
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       "0\n",
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-      "(-289.21780306855067, -58.04370953767648, 1022.513482201226)\n",
-      "1\n",
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-      "(-189.21780306855067, 41.95629046232352, 1241.9562904623233)\n",
-      "1\n",
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-      "(-756.0887086722881, -26.86961600680138, 941.9562904623233)\n",
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-      "(-40.5559021419657, 773.1303839931986, 1741.9562904623233)\n",
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-      "(-1040.5559021419658, 40.0012895969362, 741.9562904623233)\n",
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-      "(38.04628873154911, 740.0012895969362, 1441.9562904623233)\n",
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       "0\n",
-      "-700.0\n"
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    ],