PoseLib icon indicating copy to clipboard operation
PoseLib copied to clipboard

Seg fault on mac with poselib estimate_relative_pose function

Open sfm-user-1 opened this issue 1 year ago • 2 comments

zsh: segmentation fault when calling estimate_relative_pose() on mac

uname -a output:

Darwin Kernel Version 22.6.0: Wed Jul  5 22:21:56 PDT 2023;
root:xnu-8796.141.3~6/RELEASE_X86_64 x86_64

sw_vers output:

ProductName:		macOS
ProductVersion:		13.5.2
BuildVersion:		22G91

sfm-user-1 avatar Oct 30 '23 14:10 sfm-user-1

Run and reproduce:

import numpy as np

import poselib


corresponding1 = np.array(
[[1333.8192 ,   292.44833 ],
 [2807.9097  , 2064.3765  ],
 [ 700.7525  ,  976.2362  ],
 [1419.6259  , 1794.6713  ],
 [ 257.67883 , 1556.8875  ],
 [1083.9705  ,  601.6389  ],
 [2223.2734  , 1968.1864  ],
 [1665.3606  ,  249.02167 ],
 [1630.2274  ,  387.08722 ],
 [1244.6398  , 1734.9153  ],
 [1807.1207  ,  334.23016 ],
 [2987.8235  ,  590.1014  ],
 [2816.1506  ,  488.27206 ],
 [2297.08    ,  362.22153 ],
 [2657.227   , 1877.2245  ],
 [ 841.0277  , 1496.135   ],
 [2397.2305  ,  542.3918  ],
 [1175.0334  , 1260.4967  ],
 [1330.6904  , 1008.4318  ],
 [1565.9587  ,  573.63495 ],
 [1661.4375  , 2026.2771  ],
 [2126.2664  , 1995.5566  ],
 [1153.1642  , 1514.8384  ],
 [2560.108   , 1343.4321  ],
 [3037.3667  , 1153.9545  ],
 [1467.9995  ,  956.40045 ],
 [2828.4224  ,  798.48016 ],
 [1781.5259  ,  642.3412  ],
 [2500.0808  ,  551.7211  ],
 [2193.3416  , 1988.464   ],
 [1852.7526  , 2123.1785  ],
 [1730.3589  ,  511.16006 ],
 [2710.5762  ,  317.77817 ],
 [2015.259   , 1965.8176  ],
 [2746.954   , 1855.0228  ],
 [ 400.38895 , 1466.2897  ],
 [2491.0796  ,  314.0159  ],
 [2249.959   , 1887.7285  ],
 [ 843.6942  , 1166.0219  ],
 [1342.7345  , 1090.3425  ],
 [1211.0818  ,  997.174   ],
 [1247.3462  ,  955.8049  ],
 [1545.4694  ,  952.9537  ],
 [1254.3513  ,  898.4384  ],
 [1169.4238  ,  766.35016 ],
 [1917.1992  ,  754.70544 ],
 [1725.1526  ,  595.86273 ],
 [1538.014   , 1890.0404  ],
 [1555.9244  , 1845.5448  ],
 [1158.9576  ,  706.6521  ],
 [1138.3896  , 1678.5248  ],
 [ 360.39954 , 1587.7098  ],
 [ 726.2422  , 1234.543   ],
 [1845.7476  , 1948.8119  ],
 [ 768.57306 , 1404.1085  ],
 [1105.95    , 1398.4384  ],
 [1142.327   , 1300.2804  ],
 [1335.6742  , 1242.507   ],
 [1895.653   , 1203.4957  ],
 [1115.6628  , 1078.9529  ],
 [1113.6471  , 1019.8205  ],
 [1552.3694  ,  899.27386 ],
 [1785.9169  ,  864.875   ],
 [2340.1746  ,  254.81079 ],
 [1740.229   ,  783.84515 ],
 [1754.408   ,  746.00964 ],
 [1341.7975  ,  725.901   ],
 [1677.6216  ,  702.6936  ],
 [1532.9983  ,  637.03864 ],
 [1524.0962  ,  588.1589  ],
 [2202.3093  ,  495.45316 ],
 [2910.5405  ,  497.65842 ],
 [2346.5261  ,  376.11655 ],
 [2804.3745  ,  341.15833 ],
 [2109.023   , 2001.153   ],
 [2619.0632  , 1963.1786  ],
 [2103.9282  , 1941.76    ],
 [ 868.12054 , 1896.0626  ],
 [2127.1685  , 1898.8384  ],
 [ 892.3859  , 1871.4705  ],
 [2770.558   , 1895.8193  ],
 [2252.6428  , 1799.0455  ],
 [ 983.4894  , 1745.4777  ],
 [1426.7394  , 1742.4624  ],
 [1178.3431  , 1705.3538  ],
 [ 219.93956 , 1634.9326  ],
 [ 680.74316 , 1539.0281  ],
 [ 632.9693  , 1530.4349  ],
 [ 372.61224 , 1515.8387  ],
 [1784.7592  , 1462.2678  ],
 [1138.1559  , 1422.0599  ],
 [1133.7142  , 1367.7524  ],
 [2739.8572  , 1421.7714  ],
 [1696.4615  , 1360.2181  ],
 [ 817.0659  , 1219.8656  ],
 [1697.6183  , 1223.249   ],
 [ 787.4887  , 1099.5481  ],
 [1821.8406  , 1111.0367  ],
 [1456.0001  , 1006.88434 ],
 [1425.9918  ,  973.58514 ],
 [1377.1802  , 1709.5848  ],
 [1213.7047  ,  949.3399  ],
 [1937.87    ,  960.7719  ],
 [1913.6738  ,  872.186   ],
 [2953.9968  ,  837.72107 ],
 [1428.7389  ,  756.8782  ],
 [1091.6986  ,  712.20074 ],
 [1536.5834  ,  720.3977  ],
 [1313.2039  ,  681.04926 ],
 [1129.9447  ,  636.7503  ],
 [3008.0237  ,  671.30536 ],
 [1107.2249  ,  571.0014  ],
 [2793.9207  ,  587.1171  ],
 [2566.668   ,  350.15515 ],
 [2736.6362  ,  551.1321  ],
 [2883.7422  ,  535.9906  ],
 [2648.3777  ,  502.57324 ],
 [2234.7322  ,  388.71094 ],
 [2438.4624  ,  265.32605 ],
 [2894.8274  ,  288.49857 ],
 [2859.3752  ,  306.35425 ],
 [2341.418   ,  293.47385 ],
 [1585.6665  ,  306.69943 ],
 [2698.0894  ,  359.17996 ],
 [1792.1691  ,  317.8249  ],
 [2447.4934  ,  348.9893  ],
 [ 683.12054 , 2070.836   ],
 [ 811.6156  , 2069.323   ],
 [ 652.10156 , 2023.007   ],
 [2078.9924  , 2014.771   ],
 [2148.9497  , 2003.332   ],
 [ 836.87537 , 1963.1309  ],
 [1392.5565  , 1952.8605  ],
 [2145.2068  , 1967.2487  ],
 [ 629.6283  , 1911.7451  ],
 [2795.9844  , 1928.5753  ],
 [2098.4727  , 1901.7966  ],
 [ 848.3312  , 1867.5615  ],
 [ 679.31836 , 1847.5364  ],
 [ 829.2147  , 1837.666   ],
 [1156.596   , 1799.5432  ],
 [2824.5828  ,  309.35077 ],
 [2763.6294  , 1806.439   ],
 [ 156.3882  , 1730.6798  ],
 [1065.7085  , 1716.1276  ],
 [ 191.23004 , 1699.7222  ],
 [1840.446   ,  294.34183 ],
 [ 630.1285  , 1578.9906  ],
 [1326.7893  , 1547.3755  ],
 [ 763.59937 , 1509.2524  ],
 [ 765.31903 , 1475.2612  ],
 [1295.9304  , 1483.5898  ],
 [1355.7268  , 1474.8208  ],
 [1076.7821  , 1422.3842  ],
 [1840.263   , 1415.5662  ],
 [ 686.3795  , 1375.7931  ],
 [ 715.85675 , 1329.1841  ],
 [1202.6666  , 1287.4944  ],
 [1295.4155  , 1243.1385  ],
 [1359.7959  , 1179.4032  ],
 [1336.479   , 1128.1533  ],
 [ 992.42395 , 1108.8345  ],
 [1304.9514  , 1897.1162  ],
 [1141.2145  , 1056.063   ],
 [3036.6597  , 1088.373   ],
 [1141.9247  ,  994.3739  ],
 [1278.3073  ,  979.96014 ],
 [1117.8524  ,  967.6602  ],
 [1584.6793  ,  984.14874 ],
 [2885.5615  ,  362.22446 ],
 [ 904.2079  ,  893.85046 ],
 [1541.22    ,  881.43756 ],
 [2000.0242  ,  835.0844  ],
 [1917.9232  ,  808.13794 ],
 [1307.4371  ,  791.898   ],
 [1807.4443  ,  785.8156  ],
 [1220.5992  ,  685.7107  ],
 [1340.4879  ,  684.1117  ],
 [2737.5227  ,  714.5325  ],
 [1567.7913  ,  673.81775 ],
 [1225.2811  ,  660.24567 ],
 [1167.1381  ,  646.9181  ],
 [1674.9601  ,  651.8063  ],
 [1734.0784  ,  582.22644 ],
 [2358.5496  ,  473.8886  ],
 [1817.0726  ,  456.50745 ],
 [1728.4858  ,  431.75287 ],
 [2872.9866  ,  463.47852 ],
 [2920.5918  ,  454.4155  ],
 [2891.305   ,  438.91522 ],
 [2873.4946  ,  391.9783  ],
 [2518.1365  ,  368.72858 ],
 [2993.9631  ,  569.46606 ],
 [1068.8136  , 1673.7756  ],
 [2372.6895  ,  329.06085 ],
 [1324.9456  ,  867.6792  ],
 [1956.5265  , 1212.2655  ],
 [1457.5988  , 2122.6423  ],
 [1929.7754  , 2127.6406  ],
 [2727.6265  , 2062.8035  ],
 [1639.4585  , 2054.9868  ],
 [2534.408   , 2054.7583  ],
 [2733.659   , 2140.107   ],
 [ 874.44226 , 1992.508   ],
 [ 388.08606 , 1983.903   ],
 [ 601.0375  , 1966.8711  ],
 [1974.9323  , 1979.1855  ],
 [ 789.1276  , 1932.9064  ],
 [2136.0918  , 1940.1636  ],
 [1467.8783  , 1917.2373  ],
 [1735.787   , 1921.7686  ],
 [1619.0278  , 1906.6437  ],
 [ 544.5375  , 1881.8969  ],
 [ 579.8434  , 1853.575   ],
 [ 879.0813  , 1830.724   ],
 [  84.04968 , 1812.589   ],
 [ 634.4809  , 1808.6147  ],
 [ 688.92334 , 1805.8312  ],
 [ 225.92546 , 1786.2172  ],
 [2284.3142  , 1816.581   ],
 [ 731.5997  , 1772.4653  ],
 [3058.2354  , 1770.6821  ],
 [2605.5723  , 1686.867   ],
 [ 669.43195 , 1631.9701  ],
 [1301.0225  , 1645.7592  ],
 [1140.3926  , 1643.8282  ],
 [1287.655   , 1626.7417  ],
 [1124.5848  , 1622.7062  ],
 [2598.2498  , 1658.7528  ],
 [  68.7328  , 1585.865   ],
 [1358.6752  , 1619.1218  ],
 [ 321.93088 , 1577.6943  ],
 [ 361.6684  , 1572.2748  ],
 [1660.2302  , 1581.8774  ],
 [1359.2842  , 1567.4724  ],
 [1082.746   , 1549.1637  ],
 [2814.1653  , 1597.0338  ],
 [1275.2407  , 1544.4425  ],
 [1771.7611  , 1559.4789  ],
 [1304.5903  , 1526.6044  ],
 [1935.9362  , 1534.5592  ],
 [3042.9978  , 1531.427   ],
 [1124.7567  , 1477.134   ],
 [ 715.9599  , 1412.59    ],
 [1212.8008  , 1406.4147  ],
 [1207.6632  , 1358.7092  ],
 [1082.3756  , 1355.2908  ],
 [1148.5449  , 1339.1395  ],
 [1258.2009  , 1324.8779  ],
 [ 751.7992  , 1298.714   ],
 [1084.8335  , 1283.481   ],
 [ 735.25336 , 1267.1927  ],
 [1933.0449  , 1283.823   ],
 [1084.7142  , 1233.4117  ],
 [ 869.78613 , 1216.3851  ],
 [1898.3756  , 1242.3004  ],
 [ 782.48914 , 1187.0962  ],
 [1373.6724  , 1201.859   ],
 [ 866.8563  , 1186.2317  ],
 [1713.225   , 2166.896   ],
 [1808.2874  , 1202.6454  ],
 [1086.3239  , 1165.7898  ],
 [ 718.6278  , 1119.5311  ],
 [1133.2968  , 1104.5258  ],
 [1505.0448  , 1050.5966  ],
 [1576.5515  , 1004.91223 ],
 [1217.5284  ,  985.1776  ],
 [1318.6825  ,  976.4585  ],
 [1470.9966  ,  983.2627  ],
 [1059.2369  ,  921.7094  ],
 [1544.7563  ,  916.62067 ],
 [1099.4854  ,  902.5278  ],
 [2990.0947  ,  936.7373  ],
 [1709.3796  ,  906.5112  ],
 [1382.3204  ,  886.7616  ],
 [1097.285   ,  872.50867 ],
 [1053.6442  ,  872.8329  ],
 [2647.0781  ,  907.4619  ],
 [1961.4861  ,  891.2856  ],
 [2751.845   , 2178.517   ],
 [1768.8262  ,  886.9679  ],
 [1142.8895  ,  862.69946 ],
 [1273.461   ,  822.52563 ],
 [1505.0282  ,  836.1758  ],
 [2753.7493  ,  851.13153 ],
 [1541.5336  ,  825.7998  ],
 [1094.5259  ,  804.6341  ],
 [1591.5804  ,  811.47375 ],
 [1222.3066  ,  794.0339  ],
 [1335.7698  ,  762.7939  ],
 [2035.8687  ,  778.97577 ],
 [1150.029   ,  744.3754  ],
 [1571.5312  ,  755.033   ],
 [1810.6954  ,  743.73334 ],
 [1861.3173  ,  740.0212  ],
 [1762.3176  ,  726.2688  ],
 [1749.9447  ,  707.10785 ],
 [2568.9746  ,  669.02515 ],
 [2970.8489  ,  675.06116 ],
 [1403.9604  ,  565.38654 ],
 [1772.3052  ,  579.5137  ],
 [1428.6178  ,  556.4618  ],
 [3057.6218  ,  570.439   ],
 [2855.2168  ,  593.0903  ],
 [2934.8472  ,  528.9415  ],
 [1704.8812  ,  484.63968 ],
 [1545.4486  ,  472.88565 ],
 [2151.9429  ,  493.3774  ],
 [1836.6866  ,  440.15045 ],
 [2092.9656  ,  442.3597  ],
 [2959.5894  ,  466.52902 ],
 [1702.4336  ,  426.96597 ],
 [2216.7952  ,  420.2539  ],
 [2265.1755  ,  417.6242  ],
 [1632.7931  ,  385.90826 ],
 [2717.3352  ,  435.09702 ],
 [1706.9525  ,  385.2474  ],
 [2262.352   ,  391.11774 ],
 [2390.145   ,  390.51672 ],
 [2370.5454  ,  374.00012 ],
 [2260.65    ,  367.10336 ],
 [2268.6592  ,  349.0521  ],
 [2253.0293  ,  333.10016 ],
 [2277.7805  ,  318.39847 ],
 [2396.089   ,  310.4688  ],
 [2611.9453  ,  320.5534  ],
 [2616.3665  ,  302.95752 ],
 [2385.118   ,  231.90083 ],
 [2384.221   ,  209.23082 ],
 [2611.1438  , 2058.2058  ],
 [ 887.3217  , 1975.5673  ],
 [1149.0125  , 1508.5967  ],
 [ 679.3114  , 1412.647   ],
 [ 860.2034  , 1138.7495  ],
 [2173.0142  ,  439.9399  ],
 [2436.1816  ,  244.21361 ],
 [2134.5737  ,  449.59103 ],
 [2017.7386  ,  466.46115 ],
 [ 660.66504 , 1391.7559  ],
 [1771.9889  , 1425.4473  ],
 [1146.1719  ,  693.191   ],
 [1358.1785  ,  829.0132  ],
 [1346.5447  ,  975.8228  ],
 [1231.3734  ,  917.6206  ],
 [2946.8772  ,  448.15128 ],
 [1782.3507  , 2156.8552  ],
 [ 971.1199  , 2064.3455  ],
 [2611.5908  , 2038.1722  ],
 [2546.1763  , 2032.114   ],
 [ 790.4389  , 1983.9384  ],
 [1334.4327  , 1989.0416  ],
 [1890.4744  , 2005.0156  ],
 [1260.8203  , 1228.2037  ],
 [1176.0477  , 1082.5338  ],
 [1539.2896  , 1989.2379  ],
 [2993.5002  , 2015.976   ],
 [1349.625   , 1974.4082  ],
 [1432.0632  , 1973.4979  ],
 [ 530.53326 , 1951.6926  ],
 [ 976.9132  , 1956.9462  ],
 [1446.7036  , 1961.7849  ],
 [1381.0879  , 1941.5824  ],
 [1324.9901  , 1938.3767  ],
 [1899.9716  , 1943.409   ],
 [1959.9001  , 1938.8718  ],
 [ 623.9259  , 1901.8982  ],
 [ 670.31903 , 1901.639   ],
 [2854.112   , 1953.176   ],
 [2287.2583  , 1928.4795  ],
 [1418.3511  , 1904.8322  ],
 [1194.6747  , 1893.8546  ],
 [1498.2628  , 1899.9722  ],
 [1377.7042  , 1894.9557  ],
 [2288.1746  , 1896.4482  ],
 [ 610.78217 , 1848.3008  ],
 [  81.522514, 1843.2659  ],
 [ 868.43774 , 1847.1361  ],
 [ 676.89294 , 1827.6753  ],
 [ 165.2435  , 1811.0327  ],
 [ 182.98851 , 1777.6172  ],
 [  79.53346 , 1774.4121  ],
 [2641.1677  , 1833.3907  ],
 [1952.954   , 1810.3748  ],
 [2837.5496  , 1827.0775  ],
 [ 671.32544 , 1768.2675  ],
 [  95.11241 , 1761.841   ],
 [ 130.85092 , 1760.3087  ],
 [ 220.77037 , 1757.3839  ],
 [2788.1294  , 1815.9983  ],
 [2877.343   , 1802.1736  ],
 [ 870.90295 , 1747.9598  ],
 [1355.5845  , 1754.1113  ],
 [1875.9911  , 1756.5253  ],
 [1116.755   , 1703.2075  ],
 [2310.8687  , 1726.7976  ],
 [ 125.15113 , 1677.2559  ],
 [1340.5187  , 1662.3066  ],
 [1689.1454  , 1666.5743  ],
 [1119.291   , 1649.6163  ],
 [1152.656   , 1645.4874  ],
 [1254.1548  , 1632.8005  ],
 [1184.8573  , 1621.8002  ],
 [1341.6646  , 1621.7137  ],
 [1082.3605  , 1581.394   ],
 [ 882.3446  , 1561.6602  ],
 [ 760.8921  , 1559.033   ],
 [ 385.681   , 1546.4059  ],
 [1122.1766  , 1556.2126  ],
 [1372.9152  , 1556.0844  ],
 [1638.225   , 1561.9862  ],
 [1085.7913  , 1542.1565  ],
 [2311.8557  , 1564.6445  ],
 [ 949.66724 , 1523.5151  ],
 [ 651.5975  , 1493.7798  ],
 [1721.0026  , 1513.1124  ],
 [1173.4866  , 1487.447   ],
 [1074.36    , 1457.0006  ],
 [1741.9293  , 1632.0415  ],
 [ 708.353   , 1431.3992  ],
 [ 695.33716 , 1402.0497  ],
 [ 964.84296 , 1405.209   ],
 [2998.9514  , 1458.2847  ],
 [ 751.36975 , 1388.2737  ],
 [1184.7095  , 1391.9801  ],
 [ 981.3708  , 1376.6531  ],
 [1808.1641  , 1404.0057  ],
 [1374.3623  , 1342.234   ],
 [2693.3315  , 1409.417   ],
 [1329.0758  , 1672.5961  ],
 [1386.9773  , 1317.5837  ],
 [1287.9059  , 1223.3888  ],
 [1214.6088  , 1211.3419  ],
 [2433.8364  , 1281.71    ],
 [1328.6212  , 1164.3761  ],
 [1294.6056  , 1160.7294  ],
 [ 953.44226 , 1090.1686  ],
 [1231.4948  , 1155.5966  ],
 [1132.0312  , 1141.9645  ],
 [1189.3519  , 1114.5929  ],
 [1074.1537  , 1113.5469  ],
 [1261.1177  , 1108.9539  ],
 [1387.7767  , 1104.9491  ],
 [ 743.7308  , 1074.5339  ],
 [1477.2714  , 1102.9609  ],
 [2949.6658  , 1128.1196  ],
 [2984.4106  , 1092.6896  ],
 [1403.546   , 1029.9309  ],
 [1045.4542  , 1013.02496 ],
 [1255.7981  , 1006.3081  ],
 [1495.1837  , 1015.1873  ],
 [ 728.20856 ,  977.1909  ],
 [1095.5637  ,  995.3428  ],
 [2730.943   , 1112.6124  ],
 [1176.4335  ,  975.5235  ],
 [ 838.59766 ,  941.70013 ],
 [1881.156   ,  982.9067  ],
 [1333.8474  ,  938.5255  ],
 [1307.9093  ,  909.6691  ],
 [1833.5773  , 1125.0994  ],
 [1635.1412  , 1948.7255  ],
 [1205.6688  ,  865.91895 ],
 [1235.803   ,  847.86676 ],
 [1200.8317  ,  839.7584  ],
 [2121.3418  , 1990.5199  ],
 [2950.7827  ,  857.709   ],
 [1143.0974  ,  799.6437  ],
 [1805.7771  ,  807.18475 ],
 [1273.3418  ,  788.3337  ],
 [ 550.94635 , 2040.9037  ],
 [1056.1488  ,  744.10974 ],
 [1720.0502  ,  765.4056  ],
 [1793.5604  ,  756.4729  ],
 [1305.9508  ,  735.5121  ],
 [1185.6459  ,  727.37665 ],
 [2391.1758  ,  251.61281 ],
 [2324.022   ,  278.32303 ],
 [2654.9265  ,  314.1667  ],
 [2844.5657  ,  322.5775  ],
 [2774.8843  ,  329.66077 ],
 [1796.302   ,  291.1971  ],
 [2533.7844  ,  333.47507 ],
 [2347.5881  ,  332.23022 ],
 [2820.1318  ,  351.12778 ],
 [1245.7878  ,  725.2372  ],
 [2531.9675  ,  352.94135 ],
 [2865.0586  ,  364.7009  ],
 [2847.6106  ,  371.23203 ],
 [1694.639   ,  334.7432  ],
 [2895.1575  ,  384.1096  ],
 [2782.421   ,  379.09863 ],
 [2288.126   ,  378.7143  ],
 [1626.605   ,  366.4898  ],
 [1596.9447  ,  370.69147 ],
 [1538.5782  ,  390.10977 ],
 [1719.4442  ,  409.3973  ],
 [2250.7717  ,  431.53333 ],
 [2127.9631  ,  432.8109  ],
 [2292.086   ,  435.64038 ],
 [1419.7542  ,  434.80667 ],
 [2095.2947  ,  459.292   ],
 [1847.3119  ,  483.17368 ],
 [2910.7     ,  529.40015 ],
 [1899.995   ,  741.9443  ],
 [2901.7996  ,  543.44586 ],
 [1716.6604  ,  521.2024  ],
 [2903.4634  ,  585.0672  ],
 [1057.3801  ,  534.6452  ],
 [2914.7568  ,  603.22345 ],
 [2723.779   ,  597.91534 ],
 [2456.6296  ,  595.59235 ],
 [1513.9159  ,  578.6562  ],
 [2449.308   ,  613.347   ],
 [2433.9934  ,  613.43713 ],
 [1120.5975  ,  613.95233 ],
 [1489.5215  ,  635.3747  ],
 [2109.9358  ,  676.6803  ],
 [1103.9432  ,  639.21954 ],
 [1720.0308  ,  702.2101  ],
 [1503.2339  ,  716.83435 ],
 [1267.1938  ,  714.7946  ],
 [1557.802   ,  501.4721  ],
 [2367.939   ,  223.31349 ],
 [ 625.8335  , 2041.8387  ],
 [2793.8018  , 2076.9812  ],
 [1171.6118  , 2018.9031  ],
 [2595.07    , 2036.2859  ],
 [1895.2784  , 2028.1794  ],
 [2061.9592  , 2022.4767  ],
 [1513.4342  , 1996.0643  ],
 [ 571.4611  , 1979.7144  ],
 [2576.0427  , 2010.2216  ],
 [3008.9468  , 1156.1536  ],
 [ 560.0939  , 1971.3478  ],
 [2261.6384  , 2008.1409  ],
 [1846.1301  , 1996.1041  ],
 [1473.2507  , 1986.8479  ],
 [1380.3003  , 1985.0212  ],
 [1729.0592  , 1976.4905  ],
 [1332.0778  , 1965.4811  ],
 [1626.5642  , 1972.2009  ],
 [1613.0106  , 1967.5679  ],
 [ 607.81805 , 1946.8015  ],
 [ 514.2823  , 1940.4243  ],
 [ 630.51074 , 1935.7234  ],
 [1407.143   , 1938.1254  ],
 [2285.8318  , 1956.2327  ],
 [1451.4877  , 1926.6027  ],
 [2310.7615  , 1949.1141  ],
 [2120.1243  , 1941.629   ],
 [1286.2256  , 1921.9148  ],
 [1926.1451  , 1928.5093  ],
 [2248.8115  , 1940.0488  ],
 [2095.198   , 1928.0164  ],
 [1006.94934 , 1899.805   ],
 [ 837.9716  , 1892.2124  ],
 [ 637.1391  , 1891.1415  ],
 [2320.0244  , 1925.0944  ],
 [1984.911   , 1916.1035  ],
 [2087.9783  , 1913.7057  ],
 [1917.2546  , 1903.298   ],
 [2310.6812  , 1911.2391  ],
 [2282.906   , 1910.7401  ],
 [2710.6785  ,  286.22058 ],
 [ 924.6421  , 1851.3638  ],
 [2169.059   , 1883.092   ],
 [2798.6477  , 1896.0497  ],
 [1528.2732  , 1128.154   ],
 [ 607.36804 , 1828.1688  ],
 [ 571.29364 , 1824.316   ],
 [2855.2751  ,  284.7858  ],
 [ 155.87416 , 1824.6259  ],
 [ 926.7539  , 1826.1587  ],
 [3021.9878  , 1096.669   ],
 [ 708.827   , 1815.436   ],
 [2413.4849  ,  279.24783 ],
 [ 603.2833  , 1811.7836  ],
 [1075.0935  , 1078.6791  ],
 [ 849.7026  , 1807.6719  ],
 [1005.93976 , 1811.0033  ],
 [2828.2043  , 1853.332   ],
 [ 984.2155  , 1785.0271  ],
 [2802.125   , 1831.3545  ],
 [ 959.8746  , 1777.8947  ],
 [ 653.7235  , 1748.6285  ],
 [ 197.51471 , 1741.432   ],
 [2779.711   ,  301.29593 ],
 [ 918.75854 , 1082.2666  ],
 [2937.9163  , 1787.6102  ],
 [2426.6453  ,  287.13007 ],
 [ 900.93945 , 1715.2198  ],
 [2555.316   ,  302.25357 ],
 [ 520.8867  , 1708.4325  ],
 [  86.20949 , 1699.2788  ],
 [2727.2878  ,  306.5556  ],
 [ 945.9493  , 1708.9193  ],
 [2798.053   ,  312.88037 ],
 [ 151.7536  , 1681.8623  ],
 [ 687.50934 , 1267.3625  ],
 [1305.6383  , 1674.3073  ],
 [2602.6396  , 1703.671   ],
 [1181.752   , 1664.5516  ],
 [1077.5546  , 1630.9755  ],
 [2447.2588  ,  308.2583  ],
 [2580.4663  , 1666.8491  ],
 [ 359.17773 , 1604.4478  ],
 [ 617.6527  , 1590.5477  ],
 [ 125.11857 , 1575.525   ],
 [1619.5212  , 1581.4353  ],
 [2314.992   ,  307.62396 ],
 [2747.9753  ,  332.6451  ],
 [1370.6754  , 1576.4896  ],
 [1189.7726  , 1573.1246  ],
 [2994.6343  , 1618.847   ],
 [2858.9094  ,  336.24356 ],
 [1149.0239  , 1111.7239  ],
 [ 359.79453 , 1543.3834  ],
 [1250.0978  , 1564.9012  ],
 [1989.8054  , 1582.1273  ],
 [ 382.4606  , 1527.7115  ],
 [2563.6719  , 1582.5786  ],
 [2347.5054  ,  316.0726  ],
 [1704.2468  , 1542.8398  ],
 [ 846.55286 , 1512.5812  ],
 [2412.0305  ,  326.06445 ],
 [1900.2295  , 1535.6998  ],
 [1693.0186  , 1533.8931  ],
 [1678.1984  , 1525.6085  ],
 [1743.1853  , 1528.7054  ],
 [1071.1837  , 1484.4974  ],
 [ 435.9342  , 1451.8633  ],
 [1350.1558  , 1463.9235  ],
 [1759.3071  , 1455.9928  ],
 [ 731.92694 , 1398.8733  ],
 [1806.6959  , 1436.6396  ],
 [1024.6506  , 1729.842   ],
 [1281.7863  , 1376.8588  ],
 [2841.1145  , 1442.4823  ],
 [1124.1266  , 1361.5765  ],
 [ 746.50934 , 1324.5231  ],
 [ 771.954   , 1323.9341  ],
 [ 666.02014 , 1319.9891  ],
 [1362.6519  , 1326.4412  ],
 [ 716.4784  , 1301.6625  ],
 [2298.3464  ,  323.6106  ],
 [ 778.7451  , 1253.1301  ],
 [ 738.18066 , 1225.0273  ],
 [1237.5876  , 1239.7131  ],
 [1273.8184  , 1232.6606  ],
 [ 896.3037  , 1215.6697  ],
 [1215.12    , 1082.5425  ],
 [3034.077   , 1245.6173  ],
 [ 793.16876 , 1172.022   ],
 [1073.0131  , 1181.6085  ],
 [1090.3375  , 1076.9517  ],
 [2519.141   ,  350.59753 ],
 [3032.3425  , 1108.0464  ],
 [1264.2112  , 1048.69    ],
 [ 904.50464 , 1028.1755  ],
 [ 680.17957 , 1147.6545  ],
 [2316.447   ,  340.94696 ],
 [1320.9554  , 1016.89215 ],
 [1293.1437  , 1001.04    ],
 [1404.2747  , 1000.2799  ],
 [1080.689   ,  987.1307  ],
 [1319.1301  ,  983.879   ],
 [1134.0399  ,  979.4741  ],
 [ 971.83356 ,  956.52124 ],
 [1094.1205  ,  957.5646  ],
 [ 911.132   ,  945.4964  ],
 [2215.2654  , 1197.4951  ],
 [ 911.91534 ,  925.1412  ],
 [1140.257   ,  935.3774  ],
 [1099.4165  ,  929.8804  ],
 [1297.9868  ,  930.30896 ],
 [1138.1782  ,  902.469   ],
 [1180.9677  ,  894.6863  ],
 [1137.9648  ,  885.2562  ],
 [1096.5138  ,  884.61255 ],
 [1293.0695  ,  882.12415 ],
 [1082.6138  ,  876.4565  ],
 [2254.7239  ,  350.5876  ],
 [1940.2816  ,  892.76086 ],
 [ 981.3999  ,  849.4106  ],
 [2533.2112  ,  370.84445 ],
 [1271.2919  ,  851.9703  ],
 [1176.8114  ,  841.5469  ],
 [1719.7051  ,  861.732   ],
 [1165.5515  ,  829.2766  ],
 [1304.9548  ,  821.2692  ],
 [1566.2408  ,  802.389   ],
 [1135.3945  ,  776.9004  ],
 [1358.0371  ,  778.5846  ],
 [1759.2632  ,  788.6483  ],
 [1892.6559  , 1168.848   ],
 [1652.6919  ,  361.17856 ],
 [1767.7441  ,  771.03754 ],
 [1117.1658  ,  747.1745  ],
 [1330.4242  , 1150.2742  ],
 [1085.9438  ,  729.03204 ],
 [1268.4618  , 1150.7974  ],
 [1546.3242  ,  717.0459  ],
 [1857.2877  ,  720.3486  ],
 [1628.1029  ,  702.17365 ],
 [1207.4084  ,  671.02765 ],
 [1728.0826  ,  688.22363 ],
 [1242.653   ,  666.886   ],
 [1476.4685  ,  664.00836 ],
 [1554.4573  ,  357.9139  ],
 [1542.2122  ,  666.852   ],
 [ 698.67084 , 1107.7988  ],
 [1573.6558  ,  654.5302  ],
 [2917.6765  ,  686.2908  ],
 [1942.392   ,  599.4398  ],
 [2882.4668  ,  609.9286  ],
 [2830.655   ,  602.4149  ],
 [1528.3242  ,  366.69135 ],
 [2884.3176  ,  575.85315 ],
 [2308.1807  ,  400.98367 ],
 [1145.1458  ,  521.1459  ],
 [1113.2025  ,  519.42334 ],
 [1371.6776  ,  521.1476  ],
 [2870.317   ,  568.8125  ],
 [2040.1315  ,  528.81757 ],
 [2018.3126  ,  507.20697 ],
 [2935.2722  ,  547.3774  ],
 [1279.0597  ,  471.13406 ],
 [2274.363   ,  402.58566 ],
 [1760.321   , 1142.4697  ],
 [1344.4706  ,  446.22675 ],
 [1738.6934  ,  458.59506 ],
 [1585.3951  ,  453.05963 ],
 [1140.5433  , 1121.8254  ],
 [2052.5361  ,  452.58136 ],
 [2946.6843  ,  479.88565 ],
 [1565.9121  , 1131.7084  ],
 [1420.0553  ,  407.13803 ],
 [2336.317   ,  427.54715 ],
 [1811.228   ,  393.96674 ],
 [1663.5723  ,  397.07468 ],
 [1404.8588  ,  424.04575 ],
 [1260.0922  ,  478.24014 ],
 [1337.765   ,  535.9777  ],
 [1581.3251  ,  622.2793  ],
 [1828.8491  ,  783.05084 ],
 [1226.6372  ,  873.168   ],
 [3000.4146  , 1113.8185  ],
 [ 397.74277 , 1497.5717  ],
 [  79.47344 , 1604.2211  ],
 [1881.7317  , 1934.0536  ],
 [ 972.5624  , 1755.9398  ],
 [ 680.0353  , 1620.5359  ],
 [  91.95495 , 1585.2073  ],
 [ 758.18677 , 1154.038   ],
 [1131.8253  , 1170.7804  ],
 [1547.6815  , 1155.248   ],
 [2094.0513  ,  791.83203 ],
 [1730.3237  ,  727.60944 ],
 [1034.2683  ,  659.48285 ],
 [2938.9458  ,  465.24673 ],
 [1472.053   ,  388.05237 ],
 [2687.2964  ,  309.9676  ],
 [2409.4116  ,  289.92075 ],
 [2744.414   , 2120.8464  ],
 [2719.1064  , 2121.5688  ],
 [1948.6033  , 2131.4258  ],
 [1543.6981  , 2110.7092  ],
 [2717.3528  , 2088.1418  ],
 [2316.755   ,  321.26825 ],
 [1010.10913 , 2073.945   ],
 [ 827.7073  , 2066.5283  ],
 [2736.833   , 2047.7026  ],
 [ 695.77527 , 2031.9393  ],
 [2721.0503  , 2024.4857  ],
 [1551.5929  , 2058.6047  ],
 [1816.475   , 2036.146   ],
 [1529.462   , 2024.6697  ],
 [1511.4924  , 2021.5498  ],
 [2535.1572  , 2037.7697  ],
 [1473.026   , 2012.046   ],
 [1424.2509  , 2006.689   ],
 [1839.7351  , 2013.5443  ],
 [ 545.2256  , 1986.3312  ],
 [1495.6906  , 1999.9579  ],
 [2548.293   , 2017.9891  ],
 [ 633.4979  , 1981.6893  ],
 [1537.6442  , 1998.2771  ],
 [2124.814   , 2011.7026  ],
 [1141.2443  , 1984.3624  ],
 [2217.2124  , 2012.0385  ],
 [ 494.97153 , 1970.076   ],
 [2111.354   , 1998.302   ],
 [1911.7144  , 1992.9265  ],
 [1406.517   , 1964.8281  ],
 [ 557.6204  , 1943.8937  ],
 [1325.6124  , 1955.1761  ],
 [2316.039   , 1980.9634  ],
 [2071.293   , 1970.6647  ],
 [2095.1523  , 1968.999   ],
 [1521.0548  , 1956.6106  ],
 [1502.7156  , 1950.0658  ],
 [ 490.2125  , 1932.0198  ],
 [2152.6387  , 1958.5778  ],
 [1804.3638  , 1946.0573  ],
 [ 683.107   , 1920.7603  ],
 [1657.5275  , 1932.3744  ],
 [2076.105   , 1942.5236  ],
 [2605.7178  , 1957.341   ],
 [2062.3545  , 1938.3666  ],
 [2004.2959  , 1936.9559  ],
 [1982.5933  , 1936.4037  ],
 [1628.7971  , 1923.7277  ],
 [ 656.0459  , 1898.4606  ],
 [2017.2004  , 1927.1691  ],
 [1431.8492  , 1912.4342  ],
 [ 608.4647  , 1894.4171  ],
 [1451.5168  , 1911.7919  ],
 [ 938.1902  , 1897.2832  ],
 [2150.1077  , 1922.0139  ],
 [1815.1514  , 1909.451   ],
 [1754.5312  ,  654.65594 ],
 [2777.6304  , 1925.6471  ],
 [1609.4862  , 1888.3616  ],
 [1635.8496  , 1884.8451  ],
 [3037.8496  ,  724.4061  ],
 [2794.636   , 1917.5961  ],
 [2640.219   , 1914.3462  ],
 [1731.0773  , 1877.0623  ],
 [2313.192   , 1892.1512  ],
 [ 857.9992  , 1854.1741  ],
 [ 987.5255  , 1848.7388  ],
 [1665.8958  , 1864.8988  ],
 [ 705.92584 , 1840.2144  ],
 [ 740.75006 , 1836.7057  ],
 [ 863.1772  , 1836.8567  ],
 [2857.0425  , 1893.4567  ],
 [ 580.71857 , 1831.6123  ],
 [1000.0096  , 1835.3737  ],
 [ 892.9203  , 1832.9404  ],
 [ 629.68774 , 1831.9442  ],
 [1886.8757  , 1857.5156  ],
 [2784.26    , 1885.4141  ],
 [1130.424   ,  860.8259  ],
 [2315.4219  , 1867.1233  ],
 [ 953.2549  , 1824.8114  ],
 [2813.7124  , 1864.2389  ],
 [2001.6106  , 1837.2406  ],
 [ 651.4323  , 1800.846   ],
 [ 116.87252 , 1795.0494  ],
 [2812.4526  , 1852.2162  ],
 [ 103.14952 , 1790.4291  ],
 [2026.2788  , 1824.1671  ],
 [ 640.2478  , 1788.8596  ],
 [ 862.286   , 1788.8501  ],
 [2909.7837  , 1839.5844  ],
 [ 643.932   , 1782.4199  ],
 [2010.2245  , 1807.8433  ],
 [  60.07352 , 1765.8778  ],
 [ 184.53394 , 1767.8842  ],
 [2778.8718  , 1826.3231  ],
 [2982.1274  , 1820.9766  ],
 [2173.741   , 1794.9315  ],
 [2846.2795  , 1812.7106  ],
 [ 243.76772 , 1766.2891  ],
 [ 675.1284  , 1755.1069  ],
 [ 158.94238 , 1741.9556  ],
 [1969.4204  , 1771.5775  ],
 [2850.5796  , 1794.8374  ],
 [1958.9928  , 1763.5944  ],
 [3027.9358  , 1075.7139  ],
 [ 178.75781 , 1713.2256  ],
 [2933.1628  , 1765.2327  ],
 [1058.61    , 1715.402   ],
 [1188.2263  , 1705.5033  ],
 [2326.3174  , 1726.5139  ],
 [2629.8083  , 1734.4911  ],
 [1345.5482  , 1696.9388  ],
 [  98.51487 , 1663.4956  ],
 [1259.7644  , 1684.6742  ],
 [1366.6298  , 1683.8392  ],
 [ 689.80975 , 1657.8824  ],
 [2572.351   , 1703.1758  ],
 [2641.1687  , 1699.9545  ],
 [2629.8162  , 1696.2808  ],
 [ 683.5816  , 1641.0844  ],
 [3033.679   , 1693.3739  ],
 [2800.2527  , 1691.0665  ],
 [ 983.14856 , 1639.4286  ],
 [2808.0312  , 1681.1484  ],
 [1021.97235 , 1624.2675  ],
 [ 377.83682 , 1604.8203  ],
 [1269.1174  , 1625.3245  ],
 [1230.0833  , 1611.3098  ],
 [  67.31611 , 1577.6823  ],
 [ 663.8349  , 1595.2128  ],
 [ 597.51337 , 1591.2622  ],
 [1125.7672  , 1244.6537  ],
 [1727.7546  , 1615.3395  ],
 [1135.8035  , 1596.2751  ],
 [1251.0919  , 1596.4442  ],
 [1118.7499  , 1590.5543  ],
 [1864.1196  , 1605.8478  ],
 [1282.0469  , 1590.7355  ],
 [1221.4155  , 1588.0782  ],
 [ 714.9928  , 1258.3021  ],
 [1688.6145  , 1595.5494  ],
 [ 937.798   , 1557.0221  ],
 [ 374.53687 , 1538.7687  ],
 [1026.9148  , 1556.6714  ],
 [1321.058   , 1563.8579  ],
 [ 394.8559  , 1533.0385  ],
 [1700.0621  , 1565.5435  ],
 [3001.6174  , 1589.9855  ],
 [1693.9401  , 1554.8907  ],
 [1347.5962  , 1541.6571  ],
 [1613.3451  , 1549.9321  ],
 [3003.9614  , 1579.4448  ],
 [ 406.09534 , 1505.9071  ],
 [1075.364   , 1523.4371  ],
 [ 968.7291  , 1515.0564  ],
 [ 814.8176  , 1509.0059  ],
 [ 449.37994 , 1494.5571  ],
 [ 611.85144 , 1497.7333  ],
 [1951.651   , 1527.3928  ],
 [1168.5359  , 1508.9995  ],
 [ 443.8561  , 1484.1011  ],
 [1004.40265 , 1499.6372  ],
 [1826.4459  , 1523.4426  ],
 [ 369.36356 , 1472.1353  ],
 [1034.207   , 1493.8645  ],
 [ 378.94595 , 1465.8541  ],
 [ 403.2898  , 1464.6766  ],
 [ 910.6135  , 1472.2388  ],
 [ 383.26257 , 1452.8451  ],
 [1937.8168  , 1498.6791  ],
 [1063.6207  , 1471.6161  ],
 [1702.2941  , 1484.7198  ],
 [1121.3304  , 1451.3561  ],
 [1062.7177  , 1445.1101  ],
 [2016.3334  , 1463.7458  ],
 [1208.4961  , 1437.0896  ],
 [ 676.668   , 1407.2029  ],
 [1836.7858  , 1445.7029  ],
 [1809.5789  , 1445.4254  ],
 [1362.7737  , 1427.4406  ],
 [1206.7505  , 1420.6228  ],
 [ 939.13934 , 1403.0256  ],
 [1121.6973  , 1405.7906  ],
 [ 780.8206  , 1394.1345  ],
 [1160.2671  , 1403.3528  ],
 [1846.7188  , 1425.1849  ],
 [1020.42896 , 1469.9735  ],
 [ 783.70966 , 1379.916   ],
 [1018.4627  , 1384.042   ],
 [ 424.2258  , 1449.0817  ],
 [1122.2749  , 1378.9778  ],
 [1870.0972  , 1395.6433  ],
 [1150.4398  , 1374.688   ],
 [ 706.65125 , 1355.1442  ],
 [ 680.12244 , 1344.9366  ],
 [1075.2603  , 1359.2489  ],
 [2824.7322  , 1429.0721  ],
 [ 990.28894 , 1341.1272  ],
 [1356.9967  , 1347.1279  ],
 [ 890.9173  , 1312.3359  ],
 [ 686.2417  , 1286.1528  ],
 [1308.0101  , 1309.4811  ],
 [ 763.3875  , 1281.1316  ],
 [1196.1694  , 1291.7014  ],
 [ 837.86316 , 1252.484   ],
 [2980.515   , 1351.5087  ],
 [1229.7302  , 1264.1633  ],
 [1910.0603  , 1281.3419  ],
 [1166.6992  , 1249.5421  ],
 [1870.8381  , 1264.4408  ],
 [1269.423   , 1244.1416  ],
 [1081.4946  , 1223.5912  ],
 [ 999.4234  , 1216.6906  ],
 [ 745.95074 , 1199.5675  ],
 [ 692.2478  , 1193.0931  ],
 [1226.508   , 1650.6514  ],
 [ 633.9539  , 1177.2687  ],
 [ 739.41077 , 1181.8336  ],
 [1095.2906  , 1199.8132  ],
 [1340.5084  , 1198.7164  ],
 [ 534.83905 , 1153.311   ],
 [1259.0684  , 1181.7332  ],
 [ 741.4571  , 1152.5667  ],
 [2255.114   , 1209.9211  ],
 [ 705.07513 , 1150.5906  ],
 [ 525.60626 , 1134.0967  ],
 [ 922.312   , 1143.9546  ],
 [1344.6964  , 1808.1289  ],
 [1232.937   , 1124.4738  ],
 [ 741.2258  , 1099.5587  ],
 [2120.2983  , 1835.9265  ],
 [1824.2134  , 1135.3796  ],
 [ 726.8609  , 1067.2566  ],
 [2986.2844  , 1135.984   ],
 [1239.4799  , 1080.3422  ],
 [2137.4373  , 1910.7927  ],
 [2989.3235  , 1118.1465  ],
 [1105.7574  , 1064.5211  ],
 [3044.6008  , 1115.1292  ],
 [1143.0298  , 1058.6932  ],
 [3013.9602  , 1107.5797  ],
 [1255.6322  , 1057.2107  ],
 [1472.4254  , 1059.5812  ],
 [1384.428   , 1059.2952  ],
 [2110.8408  , 1083.1239  ],
 [ 998.3344  , 1920.0142  ],
 [2943.095   , 1085.2839  ],
 [1259.5568  , 1035.0728  ],
 [1314.7942  , 1029.7681  ],
 [2034.8206  , 1054.4762  ],
 [1282.8254  , 1021.0827  ],
 [1192.6174  , 1014.54395 ],
 [ 857.1292  ,  996.0624  ],
 [1028.5492  , 1004.73083 ],
 [2461.0005  ,  260.10504 ],
 [1416.4901  , 1012.9434  ],
 [ 659.64575 ,  977.42303 ],
 [2046.9414  , 1031.599   ],
 [1702.6033  , 1014.65906 ],
 [ 907.89594 ,  976.1148  ],
 [2376.6836  ,  263.4176  ],
 [1160.4282  ,  987.0215  ],
 [2870.5474  ,  282.00146 ],
 [3041.481   , 1033.5194  ],
 [1444.5709  ,  992.2365  ],
 [1294.2076  ,  978.9537  ],
 [1373.7751  ,  977.1584  ],
 [1989.5895  ,  996.44507 ],
 [1383.1965  ,  963.1552  ],
 [1137.7185  ,  957.6966  ],
 [1129.0248  ,  940.8017  ],
 [2458.1885  ,  271.43976 ],
 [1111.2722  ,  922.096   ],
 [1206.962   ,  921.2071  ],
 [2598.469   ,  295.07587 ],
 [2451.2644  ,  281.52008 ],
 [ 766.3567  ,  888.9841  ],
 [1540.3685  ,  925.3227  ],
 [2898.3796  ,  306.51215 ],
 [1974.4858  ,  907.1711  ],
 [1176.6824  ,  873.99243 ],
 [1928.9509  ,  900.14496 ],
 [1103.238   ,  870.06726 ],
 [2707.8447  ,  912.40137 ],
 [1749.975   ,  880.8736  ],
 [1805.0989  ,  254.46492 ],
 [ 907.7964  ,  824.93054 ],
 [1308.7485  ,  841.41254 ],
 [1141.1559  ,  829.2568  ],
 [1082.71    ,  823.7749  ],
 [1542.1526  ,  836.5138  ],
 [2584.5173  ,  300.19217 ],
 [1346.5245  ,  823.3963  ],
 [1192.0524  ,  815.08545 ],
 [1333.0146  ,  816.2987  ],
 [2978.529   ,  859.46844 ],
 [1991.6761  ,  829.0603  ],
 [2380.305   ,  284.44534 ],
 [2994.2253  ,  849.8622  ],
 [1318.5875  ,  782.49457 ],
 [1106.8761  ,  777.0073  ],
 [2317.682   ,  284.63962 ],
 [1117.436   ,  769.11536 ],
 [2972.718   ,  829.0328  ],
 [2389.9614  ,  290.5505  ],
 [1259.7424  ,  761.3326  ],
 [1293.9016  ,  754.68384 ],
 [1564.7754  ,  768.0488  ],
 [1192.3163  ,  749.83673 ],
 [1178.6449  ,  748.001   ],
 [1101.952   ,  746.67413 ],
 [1701.6312  ,  764.1688  ],
 [1736.423   ,  762.4858  ],
 [1803.2316  ,  266.40927 ],
 [1514.3065  ,  749.7285  ],
 [1368.0471  ,  738.744   ],
 [1405.0587  ,  734.2487  ],
 [1253.1797  ,  724.6881  ],
 [1572.025   ,  737.4116  ],
 [1072.6744  ,  714.5956  ],
 [1174.9752  ,  707.66095 ],
 [2582.0366  ,  310.76172 ],
 [1214.7789  ,  706.83997 ],
 [1884.2369  ,  727.3667  ],
 [1185.693   ,  705.68304 ],
 [1359.8739  ,  709.1912  ],
 [1784.4778  ,  268.58154 ],
 [1120.4124  ,  694.10156 ],
 [1704.8656  ,  708.2953  ],
 [1120.0836  ,  681.9832  ],
 [1073.368   ,  680.29755 ],
 [1695.4465  ,  703.15356 ],
 [1190.3076  ,  663.4887  ],
 [1223.26    ,  661.3673  ],
 [2363.8386  ,  296.5996  ],
 [1521.3337  ,  674.12164 ],
 [1672.5304  ,  674.8292  ],
 [1775.8618  ,  667.00555 ],
 [1231.349   ,  634.0312  ],
 [1781.0005  ,  651.10626 ],
 [1192.4391  ,  625.50397 ],
 [1791.6439  ,  643.15173 ],
 [1165.8994  ,  619.21893 ],
 [1818.2798  ,  621.1777  ],
 [1670.5438  ,  624.52563 ],
 [1073.859   ,  597.2112  ],
 [1612.2787  ,  618.8364  ],
 [1822.7631  ,  609.0138  ],
 [2291.6328  ,  298.74387 ],
 [1081.8031  ,  587.70685 ],
 [1793.6965  ,  606.01556 ],
 [1699.2095  ,  601.9389  ],
 [2886.1038  ,  621.6967  ],
 [2781.149   ,  606.394   ],
 [2903.049   ,  600.20776 ],
 [1606.8461  ,  559.1621  ],
 [2887.6228  ,  589.3775  ],
 [1960.725   ,  553.4214  ],
 [1141.11    ,  535.0159  ],
 [1174.158   ,  509.2474  ],
 [2690.0764  ,  320.18362 ],
 [2593.7712  ,  539.86273 ],
 [2733.9592  ,  320.04922 ],
 [2240.5312  ,  511.54135 ],
 [2059.1936  ,  504.01062 ],
 [2004.9462  ,  494.3878  ],
 [1817.9366  ,  489.35486 ],
 [2017.2478  ,  493.43015 ],
 [1882.139   ,  487.24832 ],
 [1783.3159  ,  282.6483  ],
 [2890.6345  ,  522.0257  ],
 [2372.2732  ,  495.0669  ],
 [2889.8484  ,  507.61664 ],
 [2973.7937  ,  510.502   ],
 [1727.7445  ,  468.1469  ],
 [2125.1533  ,  461.8796  ],
 [1905.7651  ,  445.2311  ],
 [2078.6047  ,  451.50635 ],
 [2278.3984  ,  440.8124  ],
 [2351.3186  ,  444.485   ],
 [2162.3748  ,  442.0857  ],
 [1684.34    ,  429.1153  ],
 [2650.1865  ,  327.05527 ],
 [2153.0625  ,  432.38873 ],
 [1465.0753  ,  401.30942 ],
 [2907.3062  ,  443.5403  ],
 [2939.9172  ,  433.6714  ],
 [2327.156   ,  407.9138  ],
 [2232.8994  ,  404.62012 ],
 [1916.8483  ,  390.4209  ],
 [2783.6575  ,  426.9146  ],
 [1825.9252  ,  287.40445 ],
 [2296.4758  ,  307.84665 ],
 [1515.764   ,  358.91956 ],
 [2310.7102  ,  383.1293  ],
 [2265.534   ,  381.33    ],
 [2226.8716  ,  368.25156 ],
 [2729.0015  ,  381.90723 ],
 [2234.0518  ,  359.26166 ],
 [2764.6074  ,  376.41907 ],
 [1816.393   ,  290.81314 ],
 [2731.4185  ,  370.5754  ],
 [2871.5981  ,  377.8987  ],
 [2754.7734  ,  368.07886 ],
 [2883.329   ,  373.58176 ],
 [2862.4302  ,  372.45248 ],
 [2268.175   ,  310.2958  ],
 [1856.8926  ,  316.8444  ],
 [1675.5162  ,  312.2087  ],
 [2830.9312  ,  356.38834 ],
 [1642.2007  ,  303.87518 ],
 [2514.747   ,  339.11166 ],
 [1847.7881  ,  307.60144 ],
 [2307.022   ,  329.257   ],
 [1434.4756  ,  941.59827 ],
 [1603.6287  , 2129.5664  ],
 [1546.2223  , 2120.1885  ],
 [ 568.77234 , 1125.4222  ],
 [1869.122   , 2115.5544  ],
 [ 911.9326  , 2078.0906  ],
 [ 745.1519  , 2069.9805  ],
 [1746.7534  , 2085.1758  ],
 [1726.7413  , 2074.9297  ],
 [1691.561   , 2057.8433  ],
 [1769.2778  , 2069.8242  ],
 [2533.4219  , 2067.8967  ],
 [2711.297   , 2029.697   ],
 [1372.7446  , 2037.1971  ],
 [1495.3489  , 2024.2394  ],
 [1960.1278  , 2029.3793  ],
 [1446.6582  , 2008.3485  ],
 [ 620.63574 , 1990.3047  ],
 [ 324.94077 , 1990.1534  ],
 [1536.6793  , 2006.9308  ],
 [1684.9923  , 1994.3092  ],
 [1879.3132  , 2011.1443  ],
 [1951.4878  , 2010.3864  ],
 [1389.2086  , 1994.9174  ],
 [1035.9658  , 1986.542   ],
 [1905.3978  , 2001.742   ],
 [1492.125   , 1990.3251  ],
 [1939.3108  , 2002.6375  ],
 [2072.518   , 2002.1157  ],
 [1412.2357  , 1983.2401  ],
 [1517.6903  , 1987.0454  ],
 [1657.182   , 1984.0437  ],
 [1305.9093  , 1974.1959  ],
 [1868.245   , 1986.8789  ],
 [1507.3679  , 1975.2294  ],
 [ 996.78357 , 1962.8903  ],
 [2071.4414  , 1987.3568  ],
 [1446.7101  , 1966.181   ],
 [1887.5487  , 1975.7924  ],
 [1416.3674  , 1966.4827  ],
 [ 825.12506 , 1943.3925  ],
 [1484.0521  , 1960.1019  ],
 [1945.6602  , 1970.9036  ],
 [2153.3926  , 1970.9012  ],
 [ 827.2666  , 1933.2806  ],
 [1425.6864  , 1947.271   ],
 [1249.5663  , 1944.205   ],
 [ 839.27356 , 1932.7734  ],
 [2085.2876  , 1963.0931  ],
 [ 357.70856 , 1928.6096  ],
 [1612.847   , 1947.5879  ],
 [1544.5525  , 1943.5243  ],
 [1419.5142  , 1941.1595  ],
 [ 935.6939  , 1927.9355  ],
 [2069.209   , 1954.1246  ],
 [2188.3096  , 1956.8462  ],
 [1264.9618  , 1929.8691  ],
 [1387.1893  , 1930.4767  ],
 [ 649.2604  , 1914.1683  ],
 [2085.3787  , 1947.9476  ],
 [1537.336   , 1934.1442  ],
 [1483.5643  , 1931.5707  ],
 [1626.3757  , 1931.5092  ],
 [1431.3698  , 1923.509   ],
 [1496.024   , 1923.4443  ],
 [1440.6127  , 1921.379   ],
 [ 646.62427 , 1905.4304  ],
 [1915.9576  , 1933.4572  ],
 [1644.5974  , 1924.2397  ],
 [ 966.8413  , 1904.0106  ],
 [1609.2507  , 1916.841   ],
 [2201.2751  , 1931.6168  ],
 [1442.2423  , 1910.7318  ],
 [2208.1611  , 1927.8993  ],
 [1974.3901  , 1921.2416  ],
 [2839.1863  , 1945.8885  ],
 [1550.4205  , 1903.5431  ],
 [1604.8502  , 1904.9214  ],
 [1311.0278  , 1896.6128  ],
 [ 796.0405  , 1883.6942  ],
 [1890.5371  , 1906.7291  ],
 [2835.4983  , 1937.3657  ],
 [2609.9602  , 1930.9275  ],
 [2145.8325  , 1912.6562  ],
 [1826.2478  , 1905.2335  ],
 [1061.7999  , 1880.6953  ],
 [ 918.08484 , 1872.8516  ],
 [1012.1274  , 1872.7418  ],
 [ 667.2685  , 1854.5938  ],
 [1540.7109  , 1873.4443  ],
 [2334.7605  , 1893.6158  ],
 [1215.0126  , 1265.1852  ],
 [2818.5603  , 1903.1361  ],
 [1733.5951  , 1869.7183  ],
 [2434.977   , 1887.2073  ],
 [ 892.978   , 1843.1311  ],
 [ 915.8256  , 1840.5182  ],
 [1643.4467  , 1858.297   ],
 [ 984.07227 , 1836.3602  ],
 [ 174.39024 , 1829.671   ],
 [2700.4849  , 1852.5239  ],
 [ 780.463   , 1261.0544  ],
 [ 561.19354 , 1814.9642  ],
 [ 167.41647 , 1813.5845  ],
 [1172.4777  , 1823.8995  ],
 [2822.9883  , 1871.3387  ],
 [ 686.4775  , 1814.0978  ],
 [ 436.6077  , 1773.7512  ],
 [ 679.3613  , 1798.4482  ],
 [  77.735855, 1792.2748  ],
 [ 187.54866 , 1793.1743  ],
 [ 204.134   , 1790.5554  ],
 [ 127.38184 , 1787.6769  ],
 [ 457.57834 , 1786.0924  ],
 [  96.664566, 1781.2394  ],
 [ 158.11345 , 1775.5632  ],
 [ 111.342865, 1766.7229  ],
 [ 687.21094 , 1767.3923  ],
 [2342.299   , 1804.3868  ],
 [ 889.1144  , 1772.085   ],
 [3026.4292  , 1822.4348  ],
 [1134.3905  , 1320.5095  ],
 [ 172.97894 , 1748.3634  ],
 [ 153.26888 , 1749.1168  ],
 [2836.6675  , 1807.5232  ],
 [2850.8403  , 1806.6685  ],
 [2777.775   , 1806.1312  ],
 [ 689.23047 , 1750.2562  ],
 [ 176.42943 , 1740.4911  ],
 [ 895.2977  , 1751.6224  ],
 [ 132.50363 , 1739.0509  ],
 [ 186.16597 , 1738.739   ],
 [2332.7493  , 1784.3044  ],
 [ 175.06511 , 1729.8834  ],
 [ 723.0235  , 1324.8439  ],
 [ 167.28084 , 1727.6406  ],
 [ 980.87866 , 1735.3197  ],
 [  82.82732 , 1719.495   ],
 [1071.9526  , 1735.0145  ],
 [ 140.69885 , 1704.845   ],
 [1075.5247  , 1721.2944  ],
 [1180.3407  , 1711.6437  ],
 [2330.9453  , 1735.6091  ],
 [1270.8097  , 1707.6548  ],
 [1054.7589  , 1702.1892  ],
 [2885.7058  ,  305.79068 ],
 [1057.3942  , 1683.449   ],
 [ 708.2201  , 1173.7355  ],
 [ 311.5439  , 1665.5778  ],
 [2996.0703  , 1724.8335  ],
 [1125.0419  , 1674.1013  ],
 [1037.7827  , 1667.2648  ],
 [1345.8696  , 1671.4408  ],
 [1276.2627  , 1669.3951  ],
 [2618.2727  , 1698.8423  ],
 [1056.6177  , 1656.4098  ],
 [ 364.77994 , 1639.4657  ],
 [2326.2688  , 1687.2891  ],
 [1092.4686  , 1649.0582  ],
 [ 396.85684 , 1633.4827  ],
 [2621.1907  , 1689.0822  ],
 [2772.1082  , 1691.5286  ],
 [ 677.79517 , 1633.0017  ],
 [1332.4163  , 1646.557   ],
 [1141.1161  ,  768.77905 ],
 [1152.545   , 1640.8502  ],
 [1058.087   , 1639.2661  ],
 [2485.1152  , 1669.291   ],
 [1108.9603  , 1631.183   ],
 [  68.273384, 1603.2932  ],
 [1454.0131  , 1630.133   ],
 [3027.7566  , 1671.0259  ],
 [2589.3203  , 1661.0024  ],
 [1305.9137  , 1628.9536  ],
 [1890.9255  , 1642.1069  ],
 [1169.1777  , 1623.6947  ],
 [  71.25586 , 1594.9696  ],
 [ 333.82452 , 1597.0186  ],
 [1148.8297  , 1617.1353  ],
 [  54.46264 , 1587.257   ],
 [2479.6284  , 1649.191   ],
 [1883.3193  , 1633.0287  ],
 [ 334.49155 , 1588.5034  ],
 [1204.1324  , 1611.033   ],
 [1152.6296  , 1608.1309  ],
 [ 110.139336, 1577.611   ],
 [1074.5463  , 1600.7579  ],
 [1144.5413  , 1601.5896  ],
 [1158.8484  , 1601.1501  ],
 [1716.977   , 1613.7865  ],
 [1167.7944  , 1598.7145  ],
 [2972.024   , 1639.9734  ],
 [1897.889   ,  766.0252  ],
 [1333.2292  , 1597.8131  ],
 [1161.6837  , 1592.1927  ],
 [ 792.1268  , 1581.0156  ],
 [ 657.72656 , 1575.9231  ],
 [1306.65    , 1589.3978  ],
 [ 873.1493  , 1575.2826  ],
 [1059.5941  , 1580.2622  ],
 [2963.0015  , 1626.0868  ],
 [2240.7834  , 1605.6803  ],
 [ 353.5486  , 1555.6676  ],
 [1332.4333  , 1582.44    ],
 [1745.8976  , 1585.7926  ],
 [1347.3579  , 1575.3423  ],
 [1059.6562  , 1561.5006  ],
 [2216.885   , 1590.4805  ],
 [1695.6993  , 1579.2272  ],
 [1333.6335  , 1565.9934  ],
 [1041.5524  , 1553.6112  ],
 [1080.7435  , 1556.7714  ],
 [1119.4686  , 1460.7338  ],
 [1283.9264  , 1547.8093  ],
 [2291.1096  , 1566.7462  ],
 [1042.6337  , 1534.8468  ],
 [ 928.1624  , 1529.1862  ],
 [ 792.9184  , 1524.4371  ],
 [1905.6111  , 1551.5751  ],
 [ 384.60812 , 1506.3516  ],
 [1084.4604  , 1522.1237  ],
 [ 438.5478  , 1498.8389  ],
 [1919.1836  , 1538.4297  ],
 [ 405.6998  , 1482.5721  ],
 [ 454.4098  , 1482.6747  ],
 [1236.9823  , 1505.0623  ],
 [1079.9208  , 1496.7369  ],
 [ 429.31787 , 1473.3984  ],
 [1678.167   , 1514.9323  ],
 [ 794.05945 , 1482.0009  ],
 [ 438.18686 , 1468.986   ],
 [ 423.94244 , 1465.2792  ],
 [1076.8439  , 1488.224   ],
 [1845.4559  , 1504.6134  ],
 [ 393.41858 , 1455.2313  ],
 [ 447.6607  , 1454.9414  ],
 [ 402.08508 , 1452.3092  ],
 [ 899.56805 , 1464.8154  ],
 [ 418.05603 , 1439.9193  ],
 [ 393.89038 , 1438.9464  ],
 [ 663.5687  , 1448.2925  ],
 [ 439.23828 , 1436.961   ],
 [ 387.27182 , 1432.9913  ],
 [ 757.23663 , 1444.7478  ],
 [1113.7354  , 1456.1814  ],
 [3038.4275  , 1507.9521  ],
 [ 858.3201  , 1442.0524  ],
 [3014.124   , 1501.4635  ],
 [1105.5999  , 1447.4353  ],
 [2995.9119  , 1497.0381  ],
 [1348.3093  , 1453.038   ],
 [ 797.327   , 1433.3853  ],
 [1125.5828  , 1436.9489  ],
 [ 675.65594 , 1419.3066  ],
 [1238.7369  , 1476.6383  ],
 [1753.719   , 1454.5475  ],
 [ 937.47754 , 1421.8723  ],
 [1795.5409  , 1451.094   ],
 [1768.5706  , 1448.817   ],
 [ 693.32587 , 1407.0968  ],
 [ 448.25742 , 1510.9097  ],
 [1886.4092  , 1435.5435  ],
 [ 698.49    , 1522.1573  ],
 [ 402.8929  , 1514.8606  ],
 [ 685.5463  , 1386.7429  ],
 [ 702.3497  , 1371.0424  ],
 [ 668.3223  , 1372.6174  ],
 [1149.5876  ,  638.5758  ],
 [1159.8317  , 1382.0189  ],
 [ 904.5803  , 1368.8981  ],
 [1780.9866  , 1397.2155  ],
 [1858.0889  , 1388.0419  ],
 [1876.7506  , 1381.421   ],
 [ 890.3134  , 1353.5962  ],
 [ 770.02234 , 1343.6139  ],
 [ 702.90625 , 1341.081   ],
 [1148.5629  , 1354.4397  ],
 [ 761.43317 , 1338.4778  ],
 [1374.7423  , 1357.7996  ],
 [1175.4427  , 1346.2251  ],
 [1242.8416  , 1344.0251  ],
 [ 761.5091  , 1323.9504  ],
 [1190.3678  , 1339.8193  ],
 [1882.4166  , 1353.0242  ],
 [ 704.8942  , 1316.741   ],
 [ 641.9076  , 1316.1635  ],
 [1280.7561  , 1325.4935  ],
 [ 708.8171  , 1298.6886  ],
 [1345.2053  , 1316.9845  ],
 [ 772.49817 , 1281.5     ],
 [ 705.3441  , 1279.6969  ],
 [1152.0626  , 1297.161   ],
 [ 713.05975 , 1275.9178  ],
 [1245.9667  , 1296.1744  ],
 [ 780.071   , 1275.1819  ],
 [1314.2991  , 1294.3895  ],
 [1593.5701  , 1302.1825  ],
 [1590.9249  , 1294.0215  ],
 [ 727.5107  , 1257.3674  ],
 [ 599.5276  , 1572.6365  ],
 [ 744.3189  , 1256.5254  ],
 [ 686.9621  , 1251.9406  ],
 [ 373.09824 , 1567.2417  ],
 [ 977.01117 ,  603.10046 ],
 [ 659.9962  , 1226.4637  ],
 [1049.6229  , 1246.1741  ],
 [ 891.27344 , 1230.1471  ],
 [1355.0281  , 1243.791   ],
 [1126.32    , 1600.1565  ],
 [ 830.50946 , 1214.5045  ],
 [1853.31    , 1253.7606  ],
 [1273.7301  , 1218.0851  ],
 [2241.834   , 1249.4211  ],
 [3025.2205  , 1251.2463  ],
 [2210.009   , 1234.8175  ],
 [1278.157   , 1202.5627  ],
 [1141.8367  , 1196.6401  ],
 [ 772.46985 , 1175.7616  ],
 [ 549.4672  , 1163.3778  ],
 [2254.3994  , 1229.1892  ],
 [ 761.0524  , 1165.788   ],
 [2297.0461  , 1212.931   ],
 [ 914.89685 , 1157.8575  ],
 [1353.6473  , 1172.5839  ],
 [ 878.7394  , 1145.8281  ],
 [ 728.5647  , 1137.4608  ],
 [ 896.094   , 1140.9106  ],
 [1189.009   , 1153.7832  ],
 [ 621.0736  , 1129.6444  ],
 [2399.7327  ,  261.8027  ],
 [1094.4843  , 1133.493   ],
 [1711.6848  , 1146.3942  ],
 [ 973.0994  , 1115.4326  ],
 [1700.5804  , 1135.8577  ],
 [ 983.5702  , 1107.4226  ],
 [1200.3186  , 1114.7098  ],
 [1182.011   , 1651.4723  ],
 [ 749.10156 , 1643.4902  ],
 [3011.191   , 1136.2338  ],
 [1134.4528  , 1083.9684  ],
 [1283.8645  , 1086.8492  ],
 [2956.0825  , 1127.2924  ],
 [ 885.7341  , 1060.5276  ],
 [3015.671   , 1127.0027  ],
 [ 732.1497  , 1049.8269  ],
 [1289.9922  ,  538.10626 ],
 [3024.2815  , 1118.4376  ],
 [1979.2291  , 1095.4652  ],
 [1688.428   , 1080.2014  ],
 [1400.1747  , 1066.8223  ],
 [2333.9907  , 1705.2266  ],
 [1419.3666  , 1061.0613  ],
 [2081.8838  , 1078.6224  ],
 [1038.1188  , 1034.7325  ],
 [1340.123   ,  518.76685 ],
 [ 666.89966 , 1673.2109  ],
 [1503.8462  , 1045.4204  ],
 [ 719.586   , 1008.8686  ],
 [ 978.69196 , 1022.84235 ],
 [1957.4553  ,  519.42834 ],
 [1262.0696  , 1025.0421  ],
 [1143.1903  , 1017.2775  ],
 [ 750.3492  ,  984.8495  ],
 [ 706.6895  ,  980.5877  ],
 [ 973.5586  ,  993.6614  ],
 [1395.1205  ,  491.62094 ],
 [1481.4908  , 1000.7605  ],
 [1336.8578  ,  994.7473  ],
 [1352.397   ,  990.32434 ],
 [3033.846   , 1040.0028  ],
 [1017.5411  ,  976.88544 ],
 [ 838.1346  ,  959.66864 ],
 [1258.962   ,  975.19147 ],
 [1090.8866  ,  967.7535  ],
 [1031.8499  ,  963.79553 ],
 [1230.9255  ,  964.12    ],
 [ 831.481   ,  936.07794 ],
 [ 863.3413  ,  937.94116 ],
 [1960.0271  ,  976.3452  ],
 [1343.6528  ,  950.6921  ],
 [ 764.97833 ,  916.20953 ],
 [1430.8286  ,  477.4583  ],
 [ 723.3701  ,  909.0499  ],
 [1905.1453  ,  953.55444 ],
 [ 781.6164  ,  895.64264 ],
 [2984.4646  , 1779.4767  ],
 [1288.7388  ,  923.6378  ],
 [1159.9492  ,  921.31177 ],
 [3045.6194  ,  969.68567 ],
 [1380.4156  , 1744.951   ],
 [ 921.86835 ,  887.1858  ],
 [ 805.55927 ,  860.94574 ],
 [1455.0161  ,  467.67856 ],
 [1066.5388  ,  890.9402  ],
 [1721.7195  ,  912.2317  ],
 [1352.201   ,  896.2257  ],
 [1058.9254  ,  879.60187 ],
 [2730.9219  ,  922.4518  ],
 [1948.3942  ,  904.958   ],
 [1391.5382  ,  878.61554 ],
 [1466.7216  ,  463.32904 ],
 [1955.4481  ,  887.28796 ],
 [2980.249   ,  896.54425 ],
 [2065.1326  ,  478.93    ],
 [1241.1069  ,  842.85394 ],
 [1077.8188  ,  834.0837  ],
 [3001.0842  ,  887.2702  ],
 [1940.5464  ,  857.0847  ],
 [1152.6573  ,  830.8817  ],
 [1359.7278  ,  834.01715 ],
 [3044.9812  ,  883.1557  ],
 [1746.1526  ,  848.1003  ],
 [1879.7513  ,  841.7041  ],
 [1285.8055  ,  821.6886  ],
 [ 832.0458  ,  794.9401  ],
 [2664.4836  ,  853.8257  ],
 [1258.5421  ,  817.6568  ],
 [1209.7257  ,  811.47394 ],
 [ 830.82587 ,  785.196   ],
 [1395.4618  ,  802.9175  ],
 [1116.9542  ,  803.20337 ],
 [1352.298   , 1803.6493  ],
 [1624.1744  ,  813.256   ],
 [1755.9733  ,  804.25867 ],
 [1786.86    ,  806.8818  ],
 [1099.1523  ,  784.9647  ],
 [1551.3258  ,  795.0555  ],
 [1088.9036  ,  767.71045 ],
 [1770.9844  ,  791.0433  ],
 [1295.7036  ,  769.66534 ],
 [1279.3097  ,  766.3873  ],
 [1560.4071  ,  779.5022  ],
 [1334.1425  ,  765.51465 ],
 [1082.1595  ,  760.08575 ],
 [1319.2786  ,  753.25275 ],
 [1828.4349  ,  771.9303  ],
 [1092.3481  ,  740.0067  ],
 [ 873.64386 , 1819.3623  ],
 [1202.1825  ,  736.70105 ],
 [1110.2815  ,  733.90454 ],
 [1765.0026  ,  750.7177  ],
 [1460.1094  ,  736.0679  ],
 [1213.857   ,  722.3185  ],
 [1147.4364  ,  719.2293  ],
 [1281.0916  ,  721.4602  ],
 [1549.2936  ,  728.78625 ],
 [1097.5216  ,  709.04297 ],
 [1757.4315  ,  732.4344  ],
 [1255.1155  ,  709.4717  ],
 [1242.6992  ,  707.6271  ],
 [1114.4062  ,  703.6192  ],
 [1481.6407  ,  716.16364 ],
 [1040.0563  ,  693.12146 ],
 [1084.5645  ,  683.57794 ],
 [1513.8232  ,  695.21857 ],
 [1145.2931  ,  670.83264 ],
 [1499.1809  ,  679.7801  ],
 [1373.4838  ,  666.002   ],
 [3016.9297  ,  724.4222  ],
 [1377.7483  ,  658.1518  ],
 [1364.3865  ,  655.3686  ],
 [1340.0027  ,  650.469   ],
 [1315.1404  ,  644.30914 ],
 [1116.8091  ,  639.7618  ],
 [1302.1732  ,  641.7028  ],
 [1258.7891  ,  640.3481  ],
 [1244.6387  ,  635.7042  ],
 [1374.2596  , 1873.065   ],
 [1264.423   ,  633.53033 ],
 [2022.6923  ,  663.37067 ],
 [1251.4246  ,  629.87164 ],
 [1237.4784  ,  627.55743 ],
 [1211.6346  ,  622.0529  ],
 [1594.1747  ,  635.5621  ],
 [1186.3312  ,  616.109   ],
 [1141.3175  ,  614.139   ],
 [1172.9279  ,  612.97    ],
 [1159.5715  ,  610.3549  ],
 [1146.1941  ,  607.4307  ],
 [1099.4814  ,  605.2054  ],
 [1088.5096  ,  603.7514  ],
 [1105.452   ,  599.12244 ],
 [1622.3125  ,  618.274   ],
 [1623.7366  ,  593.75006 ],
 [2995.3972  ,  637.84357 ],
 [2909.045   ,  618.5644  ],
 [2453.417   ,  602.083   ],
 [2822.1125  ,  614.1282  ],
 [1413.4929  ,  569.0902  ],
 [2815.527   ,  608.0706  ],
 [1590.2759  , 1915.8848  ],
 [1389.3322  ,  561.49133 ],
 [1837.1842  ,  570.5611  ],
 [1443.1359  ,  553.97076 ],
 [1243.7227  ,  550.38446 ],
 [2477.222   ,  581.95703 ],
 [1263.987   ,  548.2702  ],
 [1053.2473  ,  545.7848  ],
 [1727.4501  ,  567.9425  ],
 [1755.3259  ,  556.5019  ],
 [1270.1948  ,  540.22015 ],
 [1282.852   ,  535.50165 ],
 [1295.6003  ,  530.6933  ],
 [1308.1353  ,  525.1946  ],
 [1094.8925  ,  518.92865 ],
 [1333.4227  ,  515.9264  ],
 [2873.1301  ,  564.28375 ],
 [1352.5012  ,  513.5071  ],
 [1345.8231  ,  510.99533 ],
 [1446.0962  , 1935.0236  ],
 [1365.057   ,  509.00125 ],
 [1879.3853  ,  516.45044 ],
 [1358.1195  ,  505.91052 ],
 [1377.5884  ,  503.5857  ],
 [1200.1929  ,  500.8616  ],
 [1370.5396  ,  500.72446 ],
 [1389.9131  ,  499.30484 ],
 [1382.9453  ,  496.2546  ],
 [2461.3376  ,  766.87225 ],
 [1407.1085  ,  486.83502 ],
 [2953.4453  ,  527.93134 ],
 [1442.8446  ,  472.49887 ],
 [2982.2627  ,  526.33356 ],
 [3029.785   ,  517.3645  ],
 [1575.159   ,  471.56326 ],
 [2990.4177  ,  512.5464  ],
 [1490.0006  ,  453.5636  ],
 [2064.9424  ,  455.44553 ],
 [1838.0154  ,  433.6485  ],
 [1681.5131  ,  444.05994 ],
 [2114.2097  ,  449.06186 ],
 [2167.7852  ,  450.93445 ],
 [2235.0837  ,  445.5878  ],
 [2971.9849  ,  465.1213  ],
 [2221.5166  ,  437.49414 ],
 [2312.8796  ,  435.16058 ],
 [2352.8347  ,  436.90625 ],
 [2230.3223  ,  428.47714 ],
 [1853.9681  ,  419.29486 ],
 [1397.6481  ,  400.4274  ],
 [2236.462   ,  421.45413 ],
 [2298.15    ,  418.17917 ],
 [2164.0317  ,  419.26184 ],
 [2354.7532  ,  419.72058 ],
 [2300.2783  ,  409.45706 ],
 [2337.4724  ,  400.4018  ],
 [2319.7683  ,  399.57593 ],
 [2761.4856  ,  424.53073 ],
 [1489.0999  ,  368.12326 ],
 [2315.2583  ,  391.57288 ],
 [2302.974   ,  388.64688 ],
 [1795.5999  ,  361.69928 ],
 [1840.0537  ,  360.63303 ],
 [2829.7896  ,  395.91837 ],
 [2295.7976  ,  370.0087  ],
 [2865.6729  ,  392.65158 ],
 [1868.4973  ,  344.37415 ],
 [2742.2144  ,  376.77658 ],
 [2296.6558  ,  358.35895 ],
 [2574.51    ,  371.10135 ],
 [2326.972   ,  347.04007 ],
 [2789.46    ,  362.9788  ],
 [2758.194   ,  360.48688 ],
 [2781.7012  ,  348.15546 ],
 [2576.7505  ,  340.56766 ],
 [2834.0261  ,  345.08035 ],
 [2401.112   ,  317.79416 ],
 [2834.4724  ,  336.0644  ],
 [2555.6907  ,  320.80927 ],
 [2646.9143  ,  318.32486 ],
 [2548.6155  ,  314.74637 ],
 [2700.9988  ,  320.0352  ],
 [2290.9001  ,  289.78625 ],
 [2603.0786  ,  309.30148 ],
 [2849.0356  ,  333.96036 ],
 [2872.977   ,  311.84613 ],
 [2787.1152  ,  309.6493  ],
 [2593.5828  ,  304.07828 ],
 [2439.139   ,  283.11877 ],
 [2309.4102  ,  277.20517 ],
 [2768.8672  ,  298.8613  ],
 [2563.2322  ,  292.37192 ],
 [2301.3843  ,  272.8206  ],
 [2719.7505  ,  292.8648  ],
 [2417.9658  ,  266.7661  ],
 [2880.7388  ,  276.7664  ],
 [2905.2402  ,  261.94366 ],
 [ 570.1178  , 2030.0916  ],
 [ 169.50546 , 2213.6157  ],
 [ 951.6742  , 2061.6904  ],
 [1688.0803  , 2068.0623  ],
 [1733.4227  , 2077.9387  ],
 [1079.9764  , 2075.7583  ],
 [1667.0643  , 2133.1294  ],
 [1765.2821  , 2135.6575  ],
 [1563.966   , 2261.7783  ],
 [2383.7537  ,  261.45242 ],
 [ 631.00476 , 2016.6775  ],
 [ 552.4543  , 2014.5234  ],
 [ 640.7977  , 2013.457   ],
 [1643.6013  , 2032.902   ],
 [1392.6085  , 2022.2876  ],
 [1436.4216  , 2018.4501  ],
 [1503.3627  , 2018.7621  ],
 [1499.1979  , 2011.4762  ],
 [2433.8274  ,  324.64713 ],
 [1956.4706  , 2022.5857  ],
 [1858.1816  , 2018.3726  ],
 [ 945.7296  , 1992.0157  ],
 [ 359.1755  , 1989.8505  ],
 [1902.5927  , 2011.5977  ],
 [2281.6243  ,  358.84827 ],
 [2112.6057  , 2014.4216  ],
 [2871.179   ,  352.54242 ],
 [2080.328   , 2004.4701  ],
 [1402.6804  , 1986.4271  ],
 [2439.7822  ,  397.111   ],
 [ 328.3476  , 1965.5215  ],
 [2089.6091  , 1993.967   ],
 [2077.227   , 1992.6448  ],
 [1386.7424  , 1971.0209  ],
 [1827.9146  , 1981.1504  ],
 [1253.5063  , 1966.6235  ],
 [1664.3928  , 1976.6107  ],
 [1457.0967  , 1967.8518  ],
 [1319.3445  , 1960.3275  ],
 [1237.376   , 1959.4789  ],
 [2678.758   ,  357.07312 ],
 [2311.1733  ,  451.99783 ],
 [1423.701   , 1957.412   ],
 [1466.0526  , 1956.7819  ],
 [ 270.47662 , 1938.543   ],
 [1484.3307  , 1951.59    ],
 [1401.2009  , 1948.9249  ],
 [1449.7227  ,  475.40808 ],
 [1483.902   , 1944.9415  ],
 [1413.575   ,  489.99164 ],
 [2134.4385  , 1960.9192  ],
 [1401.6437  ,  494.3152  ],
 [ 354.36688 , 1920.2893  ],
 [2146.1494  , 1953.7657  ],
 [1733.6295  , 1935.2277  ],
 [2020.5916  , 1945.5593  ],
 [1370.7708  , 1924.9807  ],
 [ 570.94073 , 1906.4933  ],
 [ 900.69727 , 1910.3822  ],
 [ 354.75754 , 1907.0492  ],
 [1908.0553  , 1936.3691  ],
 [ 336.7868  , 1904.8661  ],
 [ 881.881   , 1906.4612  ],
 [1968.7697  , 1930.8904  ],
 [2072.9897  , 1930.6284  ],
 [ 825.67566 , 1896.0393  ],
 [2050.1814  , 1926.4617  ],
 [1982.0186  , 1923.0206  ],
 [1484.5894  , 1907.724   ],
 [ 694.51575 , 1890.0431  ],
 [2074.8525  , 1921.5104  ],
 [2782.102   , 1945.7429  ],
 [1733.7413  , 1904.7234  ],
 [ 962.55975 , 1888.1127  ],
 [1000.7445  , 1885.3248  ],
 [ 927.57446 , 1881.1404  ],
 [ 615.3954  , 1876.9728  ],
 [ 983.43976 , 1882.1262  ],
 [ 606.7867  , 1870.6353  ],
 [1867.3561  , 1900.1547  ],
 [1890.6499  , 1898.4594  ],
 [1619.6167  , 1887.4846  ],
 [  93.99977 , 1866.0121  ],
 [2137.298   , 1898.2152  ],
 [2760.4436  , 1916.7975  ],
 [1002.92694 , 1859.9603  ],
 [ 909.96027 , 1980.8528  ],
 [2554.3782  ,  360.5095  ],
 [2746.9355  ,  364.88266 ],
 [2323.136   , 1883.8234  ],
 [2634.622   ,  365.60498 ],
 [ 598.08527 , 1835.0667  ],
 [ 659.99164 , 1829.0245  ],
 [ 900.26575 , 1832.5369  ],
 [ 752.8122  , 1830.6454  ],
 [ 942.4605  , 1829.0884  ],
 [ 437.06796 , 1819.7682  ],
 [  99.40838 , 1819.1415  ],
 [2041.9282  , 1852.4517  ],
 [2382.1304  ,  353.1599  ],
 [ 927.29254 , 1819.639   ],
 [ 666.88184 , 1816.1569  ],
 [1619.8823  , 1836.3177  ],
 [2828.3784  , 1864.9147  ],
 [ 896.3782  , 1810.6637  ],
 [ 917.20905 , 1808.6147  ],
 [ 718.77234 , 1805.0486  ],
 [1337.768   , 1816.5426  ],
 [ 906.9002  , 1802.5039  ],
 [  67.76301 , 1791.2517  ],
 [ 624.1978  , 1792.596   ],
 [  69.55782 , 1782.9459  ],
 [1176.2539  , 1796.7009  ],
 [ 201.85815 , 1782.4409  ],
 [  74.72639 , 1775.5883  ],
 [  64.985054, 1776.0369  ],
 [2814.7952  , 1835.2799  ],
 [1040.1877  , 1781.9543  ],
 [2883.0696  ,  382.10748 ],
 [2768.6877  , 1823.5435  ],
 [ 653.2419  , 1767.4355  ],
 [ 118.132774, 1760.6884  ],
 [ 620.73254 , 1762.6982  ],
 [1151.3125  , 1773.513   ],
 [ 168.603   , 1757.4093  ],
 [1351.8495  ,  849.2758  ],
 [ 997.5549  , 1762.8175  ],
 [1372.1117  , 1773.4058  ],
 [1021.80865 , 1759.5917  ],
 [ 118.74203 , 1745.3173  ],
 [2922.538   , 1810.5315  ],
 [2877.9084  , 1808.4694  ],
 [1398.6141  , 1767.1027  ],
 [ 211.68338 , 1743.3339  ],
 [ 494.0464  , 1744.6404  ],
 [1064.916   , 1751.46    ],
 [2842.3938  , 1792.9553  ],
 [2377.8416  ,  359.28815 ],
 [ 132.59077 , 1730.3527  ],
 [2969.5955  , 1797.6306  ],
 [ 811.63055 , 1738.852   ],
 [1349.4478  , 1752.0922  ],
 [ 486.0764  , 1732.0076  ],
 [1657.7085  ,  343.80658 ],
 [ 172.05179 , 1720.9799  ],
 [1051.5219  , 1734.0308  ],
 [1337.6415  , 1739.4358  ],
 [2506.1118  , 1771.3545  ],
 [1878.7395  , 1745.4248  ],
 [1895.6398  , 1743.8613  ],
 [1354.9666  , 1740.0978  ],
 [ 478.58524 , 1708.8087  ],
 [1112.557   ,  947.026   ],
 [ 530.47736 , 1705.3903  ],
 [ 969.63574 , 1712.9918  ],
 [ 131.24368 , 1696.0302  ],
 [1907.2368  , 1736.1765  ],
 [1484.8047  ,  977.6714  ],
 [2495.2292  , 1752.1625  ],
 [1365.3053  , 1724.4639  ],
 [1341.5839  , 1714.5706  ],
 [ 802.46686 ,  947.89276 ],
 [1231.8331  , 1710.4888  ],
 [1329.3275  , 1708.2545  ],
 [2519.52    ,  378.6347  ],
 [2954.0208  , 1081.07    ],
 [ 110.41976 , 1661.5698  ],
 [1340.6581  , 1688.9001  ],
 [ 636.01337 , 1671.0028  ],
 [2760.9229  ,  386.84067 ],
 [ 710.247   , 1667.9493  ],
 [1293.1841  , 1679.0419  ],
 [2282.6824  ,  366.54272 ],
 [1032.0265  , 1659.2368  ],
 [ 897.5663  , 1069.9073  ],
 [2382.7224  ,  377.37628 ],
 [1310.4857  , 1659.6908  ],
 [2567.9329  , 1692.5985  ],
 [1273.8652  , 1655.265   ],
 [1061.8785  , 1649.681   ],
 [1040.1123  , 1648.5665  ],
 [1265.5966  , 1644.4263  ],
 [ 595.0312  , 1624.2561  ],
 [2645.4194  , 1674.0012  ],
 [1254.4675  , 1636.7372  ],
 [1093.3993  , 1632.4805  ],
 [1316.1724  , 1637.7511  ],
 [1303.5023  , 1637.1805  ],
 [1223.1669  , 1634.659   ],
 [1049.0972  , 1630.7034  ],
 [1063.1158  , 1629.053   ],
 [ 345.8754  , 1607.7056  ],
 [2779.717   , 1670.8545  ],
 [2559.4917  , 1663.6145  ],
 [1058.2207  , 1622.6619  ],
 [ 320.13098 , 1598.6378  ],
 [ 180.26877 , 1594.2012  ],
 [1333.9456  , 1622.4962  ],
 [1314.5339  , 1622.9426  ],
 [1202.6088  , 1618.5868  ],
 [1109.4556  , 1616.6759  ],
 [1073.3202  , 1614.8627  ],
 [1049.4519  , 1614.3662  ],
 [1188.3622  , 1610.7123  ],
 [ 355.48547 , 1588.9369  ],
 [1068.9315  , 1606.8672  ],
 [ 586.9839  , 1586.2762  ],
 [2278.2065  ,  379.12576 ],
 [2639.3228  , 1637.4829  ],
 [1230.2842  , 1598.3975  ],
 [ 815.6747  , 1581.4817  ],
 [ 665.6374  , 1578.4146  ],
 [1042.0486  , 1589.1296  ],
 [1093.2413  , 1585.5643  ],
 [1040.3097  , 1583.7156  ],
 [2993.3625  , 1629.8198  ],
 [1050.3512  , 1580.4526  ],
 [ 738.7462  , 1262.9932  ],
 [ 635.84625 , 1567.3278  ],
 [ 685.418   , 1263.1954  ],
 [ 372.3559  , 1559.2673  ],
 [ 329.6334  , 1558.1364  ],
 [ 602.2374  , 1564.2734  ],
 [ 363.9237  , 1556.9049  ],
 [1301.055   , 1582.2812  ],
 [ 347.9211  , 1555.3759  ],
 [ 664.9356  , 1564.3945  ],
 [1157.69    , 1576.5276  ],
 [2221.328   , 1600.0504  ],
 [1041.204   , 1568.7838  ],
 [1335.6982  , 1575.1351  ],
 [1017.81445 , 1566.4521  ],
 [1807.9791  ,  363.78223 ],
 [ 395.74133 , 1546.0089  ],
 [ 873.2177  , 1556.1814  ],
 [2581.1443  , 1597.0459  ],
 [1189.4832  , 1561.4565  ],
 [1126.8395  , 1559.1067  ],
 [ 863.5394  , 1551.3479  ],
 [1135.3356  , 1557.7524  ],
 [1335.0435  , 1558.3245  ],
 [1205.1492  , 1553.2542  ],
 [ 402.75003 , 1525.5396  ],
 [ 393.6423  , 1523.2501  ],
 [1322.4755  , 1550.2008  ],
 [1331.9349  , 1549.4601  ],
 [1095.8738  , 1542.8578  ],
 [2521.1733  ,  326.70288 ],
 [1065.6921  , 1539.1173  ],
 [ 395.49826 , 1515.9109  ],
 [1096.156   , 1533.0039  ],
 [1121.5497  , 1419.6989  ],
 [1499.2902  , 1526.8416  ],
 [3032.4492  , 1581.7719  ],
 [1012.3519  , 1527.7875  ],
 [1946.8271  , 1548.4012  ],
 [ 888.73535 , 1519.7489  ],
 [ 825.48944 , 1517.8066  ],
 [1817.9503  ,  373.99097 ],
 [1771.2732  , 1542.1398  ],
 [1247.7887  , 1524.5814  ],
 [ 375.3055  , 1496.9514  ],
 [1129.2802  , 1517.5057  ],
 [ 424.6983  , 1490.4404  ],
 [ 764.7077  , 1507.7721  ],
 [ 431.13828 , 1493.6442  ],
 [ 388.59268 , 1492.1     ],
 [1060.9419  , 1513.8265  ],
 [2406.8633  ,  226.92484 ],
 [ 382.24442 , 1487.4531  ],
 [ 370.67697 , 1487.085   ],
 [1651.6229  ,  383.11133 ],
 [1214.7256  , 1511.1337  ],
 [1203.0704  , 1508.6989  ],
 [1052.5975  , 1507.9933  ],
 [1075.5221  , 1503.119   ],
 [ 391.04916 , 1477.7946  ],
 [ 895.79803 , 1489.5302  ],
 [ 660.3607  , 1475.732   ],
 [ 448.15912 , 1465.1057  ],
 [1064.6259  , 1487.6306  ],
 [ 368.02164 , 1462.3733  ],
 [3028.069   , 1537.7517  ],
 [ 791.23865 , 1470.8053  ],
 [1081.2343  , 1481.6462  ],
 [ 819.8525  , 1468.0338  ],
 [1708.1937  , 1495.0353  ],
 [ 411.92578 , 1448.0531  ],
 [1068.2543  , 1471.6859  ],
 [ 769.24146 , 1461.2217  ],
 [ 374.20038 , 1447.2213  ],
 [ 441.73718 , 1447.4276  ],
 [ 930.86835 , 1461.3936  ],
 [2366.3184  ,  402.38104 ],
 [1827.9645  ,  383.98288 ],
 [ 995.4604  , 1463.596   ],
 [ 879.043   , 1456.2874  ],
 [ 431.38    , 1439.7986  ],
 [ 378.15182 , 1438.6183  ],
 [1059.4637  , 1462.9447  ],
 [1152.0553  , 1551.5812  ],
 [ 614.6174  , 1447.7139  ],
 [2431.4114  ,  412.63287 ],
 [1095.4417  , 1564.3708  ],
 [1207.4515  , 1570.1573  ],
 [1053.8158  , 1455.983   ],
 [ 459.87415 , 1429.6469  ],
 [ 936.7816  , 1446.7344  ],
 [ 701.90436 , 1436.6179  ],
 [ 899.1021  , 1439.7562  ],
 [1230.5768  , 1445.9763  ],
 [1149.0652  , 1441.0146  ],
 [ 806.0289  , 1426.6198  ],
 [2279.2847  ,  403.99457 ],
 [ 789.8292  , 1418.7272  ],
 [3050.605   , 1481.8093  ],
 [3022.3582  , 1481.719   ],
 [1201.0579  , 1431.0334  ],
 [1027.3738  , 1422.3864  ],
 [1354.7837  , 1425.2075  ],
 [1824.3848  ,  390.8092  ],
 [ 751.19464 , 1402.8306  ],
 [1288.4656  , 1414.9583  ],
 [  71.11476 , 1611.1525  ],
 [ 568.5933  , 1389.2062  ],
 [2950.0195  ,  433.36398 ],
 [ 581.898   , 1388.3003  ],
 [1075.4674  , 1401.5656  ],
 [1133.1956  , 1398.7893  ],
 [ 975.9934  , 1391.499   ],
 [ 701.1324  , 1381.2     ],
 [1097.7139  , 1395.8026  ],
 [1083.9832  , 1395.3727  ],
 [1837.9255  ,  393.83084 ],
 [1277.4502  , 1391.5723  ],
 [ 601.4135  , 1354.5527  ],
 [3045.1143  , 1418.7622  ],
 [1296.3167  , 1366.4304  ],
 [1196.6796  , 1357.3201  ],
 [1297.9979  , 1358.97    ],
 [2023.3468  , 1379.4553  ],
 [ 771.3125  , 1333.1958  ],
 [1871.084   , 1365.0782  ],
 [2869.2727  , 1784.046   ],
 [2251.6814  ,  413.21414 ],
 [1849.2078  , 1355.8633  ],
 [ 607.1807  , 1313.244   ],
 [1373.0553  , 1330.268   ],
 [ 866.8308  , 1309.5686  ],
 [ 652.6316  , 1759.97    ],
 [1134.1145  , 1312.008   ],
 [1189.7023  , 1312.1252  ],
 [1060.3314  , 1299.2029  ],
 [ 965.3799  , 1293.7137  ],
 [1919.1118  , 1322.3306  ],
 [1340.952   , 1303.6539  ],
 [1323.8605  , 1301.9521  ],
 [ 799.12445 , 1277.4375  ],
 [ 735.54785 , 1274.6971  ],
 [1939.7509  , 1314.5447  ],
 [1227.8263  , 1290.6898  ],
 [1564.1709  , 1294.3234  ],
 [1400.8473  , 1288.1991  ],
 [1935.8557  , 1298.2704  ],
 [ 566.65436 , 1248.5867  ],
 [2253.779   ,  421.0374  ],
 [ 735.5079  , 1254.6312  ],
 [ 933.9481  , 1836.3881  ],
 [ 962.82007 , 1254.4512  ],
 [ 974.61755 , 1254.8138  ],
 [1043.4288  , 1253.4983  ],
 [1060.5024  , 1251.8235  ],
 [1152.8152  , 1250.3164  ],
 [ 975.4379  , 1239.1667  ],
 [1837.4236  , 1904.9777  ],
 [ 991.3254  , 1236.6602  ],
 [ 680.3966  , 1205.6367  ],
 [ 705.4853  , 1204.9973  ],
 [1888.8545  ,  410.8245  ],
 [2918.6462  , 1967.6515  ],
 [2447.0825  , 1951.8354  ],
 [1278.8334  , 1210.6565  ],
 [2308.2617  ,  427.14627 ],
 [1352.3835  , 1209.1077  ],
 [2246.921   ,  425.87946 ],
 [1356.334   , 1202.9464  ],
 [1344.8353  , 1201.3704  ],
 [ 559.2967  , 1166.3328  ],
 [2275.0818  , 1233.1487  ],
 [2245.9297  , 1231.9177  ],
 [2258.7607  ,  426.2612  ],
 [2362.6858  ,  432.0826  ],
 [1352.9907  , 1189.8087  ],
 [1077.186   , 1180.7439  ],
 [ 739.3496  , 1160.148   ],
 [ 527.2427  , 1149.7122  ],
 [ 916.12726 , 1166.8843  ],
 [ 767.9353  , 1159.0411  ],
 [1111.9047  , 1176.589   ],
 [ 905.4058  , 1167.6101  ],
 [1760.6417  ,  413.17276 ],
 [ 839.0281  , 1153.3251  ],
 [ 577.4807  , 1139.7307  ],
 [1063.3386  , 1165.8082  ],
 [1617.7045  , 1179.6274  ],
 [ 701.2138  , 1139.3334  ],
 [ 821.72784 , 1144.6437  ],
 [1526.3679  , 1174.3541  ],
 [ 836.3725  , 1141.0901  ],
 [ 847.1176  , 1138.7389  ],
 [ 943.88995 , 1141.9246  ],
 [2151.2031  , 1180.7397  ],
 [1880.9103  , 1165.9618  ],
 [ 774.9449  , 1112.673   ],
 [1914.619   , 1157.7045  ],
 [1062.1649  , 1122.3611  ],
 [2109.7085  ,  434.8063  ],
 [ 690.1396  , 1099.2626  ],
 [1738.566   , 1141.7681  ],
 [2137.531   ,  438.27698 ],
 [ 609.47626 , 1089.732   ],
 [ 957.77905 , 1103.7358  ],
 [ 916.90765 , 1099.712   ],
 [ 878.0718  , 1091.5795  ],
 [ 625.8262  , 1076.5923  ],
 [ 619.71606 , 1072.926   ],
 [1315.1163  , 1105.783   ],
 [1074.1443  , 1100.134   ],
 [1329.6094  , 1106.1285  ],
 [ 714.8619  , 1076.096   ],
 [1490.9274  , 1112.6825  ],
 [ 811.37506 , 1075.866   ],
 [ 631.67676 , 1067.4656  ],
 [ 674.3619  , 1059.3157  ],
 [3061.472   , 1136.2457  ],
 [1353.7607  , 1089.966   ],
 [2856.4849  ,  327.64264 ],
 [ 974.1942  , 1073.6234  ],
 [1336.6378  , 1082.4365  ],
 [1364.0265  , 1075.4137  ],
 [1095.7887  , 1055.1512  ],
 [ 972.24445 , 1042.974   ],
 [1021.87646 , 1046.5417  ],
 [2051.8318  ,  435.6271  ],
 [1102.7263  , 1042.16    ],
 [2106.0396  , 1074.0632  ],
 [ 990.505   , 1024.7594  ],
 [2326.3606  ,  300.69052 ],
 [2575.7202  ,  317.5663  ],
 [ 712.47095 ,  997.225   ],
 [ 815.9065  ,  998.93677 ],
 [3034.4329  , 1069.1561  ],
 [2043.6649  , 1044.1321  ],
 [1359.875   , 1015.10333 ],
 [ 816.2057  ,  988.4494  ],
 [1695.0609  , 1025.3566  ],
 [ 936.77185 ,  997.61066 ],
 [3015.0664  , 1056.1619  ],
 [1677.3605  ,  435.81766 ],
 [2073.322   , 1035.2163  ],
 [2440.8562  ,  300.863   ],
 [1863.4572  ,  428.97824 ],
 [1417.3082  ,  998.8581  ],
 [1330.4763  ,  986.9094  ],
 [2186.7551  ,  451.1151  ],
 [1207.7017  ,  982.4103  ],
 [1145.9846  ,  979.7298  ],
 [ 723.4716  ,  951.953   ],
 [1154.3057  ,  977.40234 ],
 [ 702.1846  ,  949.2767  ],
 [ 624.1835  ,  914.96155 ],
 [2303.6316  ,  448.5641  ],
 [ 847.9721  ,  946.282   ],
 [1701.0476  ,  977.18365 ],
 [1877.3115  ,  433.04034 ],
 [2373.2332  ,  296.5234  ],
 [1472.2576  ,  968.6392  ],
 [2346.5427  ,  453.18628 ],
 [ 920.9428  ,  918.4495  ],
 [1896.1772  ,  955.75397 ],
 [ 732.762   ,  903.6435  ],
 [1359.2086  ,  921.3246  ],
 [1925.0659  ,  936.9019  ],
 [1552.9948  ,  923.56476 ],
 [2962.4937  ,  479.084   ],
 [ 911.2244  ,  879.03076 ],
 [1080.8939  ,  892.9418  ],
 [1144.9368  ,  893.73444 ],
 [2967.938   ,  942.4173  ],
 [ 937.9738  ,  867.7132  ],
 [1716.6975  ,  888.77563 ],
 [ 818.15625 ,  842.81805 ],
 [1285.945   ,  864.61304 ],
 [1705.8507  ,  877.4518  ],
 [1399.0565  ,  854.55145 ],
 [1316.7109  ,  858.2816  ],
 [ 817.2575  ,  831.4983  ],
 [1086.9862  ,  842.4351  ],
 [1228.4226  ,  841.46234 ],
 [ 977.1653  ,  823.656   ],
 [1215.8329  ,  827.2948  ],
 [1142.0901  ,  820.4782  ],
 [1152.5488  ,  816.2283  ],
 [2566.9512  ,  300.25766 ],
 [1124.6477  ,  814.28204 ],
 [1200.9668  ,  809.3151  ],
 [1326.9197  ,  808.87866 ],
 [3031.1216  ,  859.8893  ],
 [1484.4607  ,  813.08826 ],
 [1828.662   ,  450.50064 ],
 [1152.9305  ,  795.64777 ],
 [ 858.0283  ,  773.1971  ],
 [1355.3372  ,  794.5193  ],
 [1339.4846  ,  779.1229  ],
 [2576.4153  ,  297.30817 ],
 [1099.4393  ,  771.72876 ],
 [ 872.99756 ,  752.7108  ],
 [2685.6296  ,  300.63617 ],
 [1069.7809  ,  761.64594 ],
 [1126.3398  ,  757.2007  ],
 [1501.609   ,  449.59717 ],
 [1101.2238  ,  755.87024 ],
 [1074.9944  ,  746.2001  ],
 [1361.1698  ,  752.3918  ],
 [2843.8796  ,  302.26068 ],
 [1906.8574  ,  462.01877 ],
 [1120.9001  ,  722.5953  ],
 [1154.7931  ,  721.4867  ],
 [1714.469   ,  739.4351  ],
 [1704.2104  ,  737.1574  ],
 [1345.4542  ,  718.8485  ],
 [1484.4006  ,  725.6943  ],
 [1465.6747  ,  725.4172  ],
 [2914.2075  ,  297.84653 ],
 [1845.8223  ,  725.3548  ],
 [1765.9177  ,  723.8282  ],
 [ 920.88983 ,  683.9531  ],
 [1730.5903  ,  710.8825  ],
 [1478.316   ,  458.67484 ],
 [1761.6906  ,  705.72595 ],
 [1330.4138  ,  680.69836 ],
 [1461.7623  ,  685.2847  ],
 [1022.529   ,  662.05945 ],
 [1992.893   ,  696.784   ],
 [2420.0803  ,  274.71628 ],
 [1188.1289  ,  649.784   ],
 [1511.4001  ,  664.1717  ],
 [2051.2668  ,  482.993   ],
 [1916.483   ,  472.0759  ],
 [1862.4215  ,  650.3109  ],
 [1133.9764  ,  627.52026 ],
 [2841.7942  ,  673.5823  ],
 [2170.3313  ,  491.82593 ],
 [1423.3716  ,  622.4658  ],
 [1796.2229  ,  248.52327 ],
 [1601.8083  ,  616.7447  ],
 [1891.6871  ,  610.76807 ],
 [1780.2966  ,  616.0818  ],
 [2394.141   ,  270.27383 ],
 [2947.689   ,  519.08954 ],
 [2904.5933  ,  628.3592  ],
 [2898.9565  ,  618.02655 ],
 [1875.6378  ,  580.04236 ],
 [1519.2316  ,  576.82513 ],
 [1939.7194  ,  570.29865 ],
 [2022.2106  ,  575.5127  ],
 [2841.7778  ,  599.1971  ],
 [1601.8105  ,  567.0064  ],
 [2394.281   ,  257.07886 ],
 [2448.7893  ,  573.2599  ],
 [2890.3616  ,  276.48868 ],
 [1856.2704  ,  549.33887 ],
 [2899.087   ,  522.85596 ],
 [1468.9811  ,  538.41046 ],
 [1778.1958  ,  546.9621  ],
 [2974.6145  ,  524.63007 ],
 [2857.9348  ,  566.8271  ],
 [1861.9685  ,  524.83594 ],
 [1887.4928  ,  518.88824 ],
 [2368.0217  ,  240.05061 ],
 [2866.6853  ,  548.3422  ],
 [2010.1705  ,  508.95682 ],
 [1955.3945  ,  508.96478 ],
 [2281.2678  ,  523.15265 ],
 [2224.6526  ,  518.44965 ],
 [1425.5563  ,  484.47134 ],
 [2122.8262  ,  505.8489  ],
 [1418.8717  ,  482.34976 ],
 [1936.0033  ,  490.61453 ],
 [1563.0895  ,  490.10834 ],
 [1437.5485  ,  479.91772 ]])

corresponding2 = np.array([[1107.8901   , 225.96562 ],
 [2709.904    ,2066.5903  ],
 [ 554.4537   , 972.42865 ],
 [1180.9054   ,1811.048   ],
 [ 235.29984  ,1589.3243  ],
 [ 837.92847  , 558.8482  ],
 [2095.4666   ,1969.9225  ],
 [1477.6736   , 171.8255  ],
 [1423.0284   , 314.2262  ],
 [1005.29565  ,1752.7302  ],
 [1635.4443   , 261.78506 ],
 [2895.9207   , 477.41122 ],
 [2721.794    , 388.66446 ],
 [2144.722    , 266.80197 ],
 [2629.998    ,1862.6323  ],
 [ 667.97235  ,1514.9236  ],
 [2266.4192   , 455.06046 ],
 [ 936.088    ,1247.9259  ],
 [1114.3633   , 975.6627  ],
 [1337.3258   , 511.15598 ],
 [1415.6669   ,2052.121   ],
 [1972.1642   ,2005.3734  ],
 [ 921.7835   ,1516.8932  ],
 [2097.5579   ,1255.832   ],
 [2983.3838   ,1089.4421  ],
 [1237.4462   , 917.90985 ],
 [2674.185    , 692.6021  ],
 [1589.701    , 574.1682  ],
 [2378.6199   , 457.64655 ],
 [2042.037    ,1998.1875  ],
 [1521.3828   ,2172.702   ],
 [1528.8492   , 441.3443  ],
 [2571.8755   , 197.78323 ],
 [1845.9707   ,1978.1454  ],
 [2741.1274   ,1832.0623  ],
 [ 364.7306   ,1495.8484  ],
 [2336.842    , 202.39992 ],
 [2127.2375   ,1889.5135  ],
 [ 672.9772   ,1171.4552  ],
 [1115.4724   ,1060.8993  ],
 [ 981.79285  , 970.85004 ],
 [1018.56506  , 926.3321  ],
 [1317.7662   , 907.7528  ],
 [1029.023    , 863.3103  ],
 [ 933.1988   , 726.8762  ],
 [1733.4348   , 685.6774  ],
 [1505.8314   , 523.60657 ],
 [1310.4974   ,1911.8744  ],
 [1312.5544   ,1859.11    ],
 [ 920.46356  , 663.0639  ],
 [ 897.6077   ,1689.4247  ],
 [ 329.76254  ,1617.1372  ],
 [ 565.2296   ,1241.9171  ],
 [1661.0061   ,1969.0542  ],
 [ 612.66956  ,1416.7797  ],
 [ 864.95764  ,1396.7527  ],
 [ 905.64905  ,1290.4568  ],
 [1123.8309   ,1230.1917  ],
 [1695.7681   ,1160.9882  ],
 [ 874.49146  ,1056.6294  ],
 [ 872.028    , 994.9365  ],
 [1331.5084   , 853.7081  ],
 [1583.591    , 811.784   ],
 [2187.286    , 148.25064 ],
 [1516.6886   , 720.0143  ],
 [1537.1051   , 679.2948  ],
 [1124.8668   , 678.92035 ],
 [1469.0498   , 639.0712  ],
 [1306.4191   , 578.98267 ],
 [1303.8389   , 524.20483 ],
 [2036.4667   , 405.39594 ],
 [2812.4202   , 385.98328 ],
 [2201.8494   , 278.0668  ],
 [2679.9875   , 220.62599 ],
 [1948.1191   ,2014.4343  ],
 [2558.0972   ,1953.1995  ],
 [1939.1647   ,1950.0656  ],
 [ 563.3337   ,1935.7218  ],
 [1975.1235   ,1904.4879  ],
 [ 595.4428   ,1904.215   ],
 [2752.3406   ,1875.1741  ],
 [2105.0059   ,1794.1866  ],
 [ 699.1416   ,1770.8348  ],
 [1193.6415   ,1752.9579  ],
 [ 925.06     ,1716.9454  ],
 [ 219.0287   ,1665.4633  ],
 [ 519.77704  ,1559.3092  ],
 [ 483.45154  ,1555.0128  ],
 [ 342.35254  ,1545.791   ],
 [1450.0912   ,1439.8065  ],
 [ 901.177    ,1420.6537  ],
 [ 895.44116  ,1362.8052  ],
 [2211.424    ,1338.0464  ],
 [1345.6552   ,1328.4698  ],
 [ 652.3999   ,1227.937   ],
 [1491.2167   ,1196.5217  ],
 [ 629.295    ,1100.9523  ],
 [1624.8038   ,1072.3906  ],
 [1235.4572   , 972.58435 ],
 [1200.6383   , 935.99316 ],
 [1172.8044   ,1720.3591  ],
 [ 983.9516   , 918.53894 ],
 [1742.5995   , 903.3365  ],
 [1716.566    , 811.9134  ],
 [2843.839    , 743.024   ],
 [1215.6609   , 703.2105  ],
 [ 848.59015  , 671.5929  ],
 [1311.4874   , 662.73553 ],
 [1093.4288   , 633.0355  ],
 [ 888.67505  , 590.55927 ],
 [2892.122    , 554.23645 ],
 [ 862.0554   , 523.0764  ],
 [2689.6377   , 487.5931  ],
 [2417.8262   , 233.91354 ],
 [2617.9414   , 446.599   ],
 [2780.0771   , 432.52307 ],
 [2547.7917   , 412.4209  ],
 [2082.6455   , 295.71036 ],
 [2292.3108   , 155.59314 ],
 [2773.191    , 157.0875  ],
 [2737.1138   , 176.51543 ],
 [2199.6333   , 189.5429  ],
 [1382.0491   , 236.00285 ],
 [2558.5156   , 236.28429 ],
 [1618.4626   , 240.52235 ],
 [2304.3083   , 240.5199  ],
 [ 376.15723  ,2130.4673  ],
 [ 500.41406  ,2121.9912  ],
 [ 383.3445   ,2072.378   ],
 [1916.2607   ,2028.2615  ],
 [1997.7463   ,2014.2926  ],
 [ 535.4909   ,2010.5562  ],
 [1141.266    ,1986.8259  ],
 [1993.1134   ,1977.5879  ],
 [ 358.622    ,1955.1176  ],
 [2778.4058   ,1908.9159  ],
 [1947.2358   ,1909.1254  ],
 [ 547.8056   ,1905.9574  ],
 [ 417.716    ,1890.3591  ],
 [ 529.25305  ,1873.9065  ],
 [ 886.94226  ,1823.0867  ],
 [2696.191    , 181.73026 ],
 [2757.1343   ,1782.3483  ],
 [ 130.40747  ,1769.9015  ],
 [ 823.60333  ,1734.2897  ],
 [ 167.06781  ,1732.9321  ],
 [1669.9628   , 214.85341 ],
 [ 482.0281   ,1605.356   ],
 [1115.6105   ,1549.4291  ],
 [ 609.3538   ,1526.769   ],
 [ 609.6992   ,1490.5438  ],
 [1076.0891   ,1481.6932  ],
 [1144.6023   ,1470.2089  ],
 [ 833.8733   ,1422.1436  ],
 [1510.7206   ,1385.8164  ],
 [ 524.58936  ,1389.202   ],
 [ 556.9891   ,1340.7316  ],
 [ 969.89856  ,1275.092   ],
 [1076.517    ,1226.1617  ],
 [1150.5607   ,1157.2842  ],
 [1116.7935   ,1103.604   ],
 [ 775.1175   ,1094.5803  ],
 [1067.3649   ,1925.09    ],
 [ 901.6236   ,1031.6041  ],
 [2962.278    ,1011.6274  ],
 [ 901.78754  , 962.964   ],
 [1056.4388   , 949.00055 ],
 [ 876.7092   , 939.87317 ],
 [1361.8442   , 939.42334 ],
 [2767.8555   , 236.63655 ],
 [ 713.3024   , 874.2267  ],
 [1319.7166   , 833.951   ],
 [1813.3043   , 765.94336 ],
 [1735.8868   , 747.9159  ],
 [1088.1747   , 749.9715  ],
 [1606.5636   , 723.81177 ],
 [ 991.36505  , 641.2848  ],
 [1123.6094   , 636.05817 ],
 [2655.161    , 631.98285 ],
 [1349.5896   , 615.26215 ],
 [ 994.00977  , 613.076   ],
 [ 929.37274  , 600.61255 ],
 [1447.8389   , 583.185   ],
 [1519.1926   , 510.0659  ],
 [2222.9133   , 386.3926  ],
 [1652.4705   , 387.18808 ],
 [1553.086    , 362.4307  ],
 [2768.0005   , 345.95465 ],
 [2820.3787   , 342.54037 ],
 [2791.6433   , 327.96484 ],
 [2753.0679   , 269.83926 ],
 [2365.661    , 258.82443 ],
 [2869.309    , 448.5392  ],
 [ 825.3186   ,1688.0757  ],
 [2228.7673   , 227.75966 ],
 [1107.5907   , 830.96405 ],
 [1759.589    ,1170.6752  ],
 [1098.2465   ,2180.1602  ],
 [1597.509    ,2177.6086  ],
 [2278.5374   ,2119.9211  ],
 [1259.9468   ,2108.3608  ],
 [2354.8108   ,2070.4958  ],
 [2284.6533   ,2215.6802  ],
 [ 574.03094  ,2037.4069  ],
 [ 206.51468  ,2027.8271  ],
 [ 332.0512   ,2013.9333  ],
 [1805.0176   ,1993.9828  ],
 [ 490.82254  ,1972.2843  ],
 [1983.3334   ,1948.7034  ],
 [1223.8792   ,1944.9573  ],
 [1479.1887   ,1942.5872  ],
 [1399.9478   ,1925.1993  ],
 [ 285.95856  ,1924.1862  ],
 [ 320.71457  ,1892.0045  ],
 [ 578.47894  ,1864.1903  ],
 [  61.481358 ,1852.4906  ],
 [ 378.44086  ,1843.281   ],
 [ 430.34     ,1839.2909  ],
 [ 203.22433  ,1822.2874  ],
 [2141.2974   ,1809.9707  ],
 [ 477.78802  ,1803.4009  ],
 [3037.375    ,1734.519   ],
 [2616.9727   ,1661.1998  ],
 [ 509.021    ,1656.0632  ],
 [1082.9199   ,1653.8228  ],
 [ 904.17694  ,1655.7231  ],
 [1069.4413   ,1632.6346  ],
 [ 883.2177   ,1634.387   ],
 [2608.3345   ,1631.2712  ],
 [  66.178154 ,1624.792   ],
 [1149.6556   ,1622.7545  ],
 [ 287.59674  ,1611.5056  ],
 [ 328.5738   ,1603.319   ],
 [1288.3788   ,1577.3333  ],
 [1149.9589   ,1570.4688  ],
 [ 841.3408   ,1555.9037  ],
 [2433.1602   ,1554.1001  ],
 [1054.6022   ,1546.4514  ],
 [1422.0094   ,1544.7094  ],
 [1087.5463   ,1526.3495  ],
 [1791.9192   ,1518.6602  ],
 [2938.1536   ,1482.7172  ],
 [ 886.09735  ,1478.48    ],
 [ 557.26306  ,1426.6764  ],
 [ 985.0572   ,1401.7054  ],
 [ 978.6923   ,1349.9276  ],
 [ 838.9127   ,1351.0306  ],
 [ 912.49615  ,1331.8605  ],
 [1034.6494   ,1314.4532  ],
 [ 594.5529   ,1307.3676  ],
 [ 841.49316  ,1275.1821  ],
 [ 575.6429   ,1275.3264  ],
 [1729.0063   ,1250.18    ],
 [ 841.20624  ,1221.6216  ],
 [ 685.3757   ,1216.9374  ],
 [1708.1459   ,1207.6211  ],
 [ 625.3586   ,1191.9537  ],
 [1174.6152   ,1184.6154  ],
 [ 684.99774  ,1182.8296  ],
 [1323.806    ,2230.0488  ],
 [1614.058    ,1167.7174  ],
 [ 842.3831   ,1147.3588  ],
 [ 557.75446  ,1122.6776  ],
 [ 894.0891   ,1084.2043  ],
 [1269.8103   ,1013.4864  ],
 [1353.4078   , 967.6055  ],
 [ 988.59656  , 954.63824 ],
 [1100.7689   , 945.26654 ],
 [1238.2876   , 942.41864 ],
 [ 818.84296  , 890.30316 ],
 [1326.0643   , 871.61584 ],
 [ 856.41766  , 870.9545  ],
 [2917.7646   , 850.8014  ],
 [1486.6317   , 851.4646  ],
 [1158.637    , 841.9784  ],
 [ 853.81555  , 843.2864  ],
 [ 816.42145  , 842.25806 ],
 [2555.4275   , 836.6957  ],
 [1767.9238   , 830.1454  ],
 [2308.0474   ,2251.7422  ],
 [1552.4092   , 828.8355  ],
 [ 904.1935   , 827.98334 ],
 [1047.9937   , 784.7919  ],
 [1275.696    , 782.64496 ],
 [2667.2593   , 773.7613  ],
 [1309.3568   , 773.94336 ],
 [ 850.6886   , 768.4574  ],
 [1360.5073   , 755.329   ],
 [ 992.91077  , 754.0578  ],
 [1118.4601   , 718.05725 ],
 [1825.0743   , 705.4909  ],
 [ 912.0883   , 703.5505  ],
 [1338.5374   , 694.88544 ],
 [1605.4182   , 680.8558  ],
 [1672.8942   , 675.10187 ],
 [1545.4258   , 660.3318  ],
 [1532.3059   , 638.57166 ],
 [2430.7527   , 576.8471  ],
 [2852.0393   , 559.02045 ],
 [1196.6914   , 510.48544 ],
 [1571.2167   , 506.99506 ],
 [1221.078    , 499.98495 ],
 [3051.8867   , 497.3275  ],
 [2756.261    , 490.76352 ],
 [2827.905    , 414.507   ],
 [1491.1285   , 407.00424 ],
 [1329.3959   , 406.64038 ],
 [1979.8876   , 401.93137 ],
 [1672.5012   , 369.54352 ],
 [1927.3223   , 355.81998 ],
 [2866.197    , 353.19244 ],
 [1495.7736   , 349.7423  ],
 [2071.521    , 332.05667 ],
 [2122.7576   , 327.66605 ],
 [1418.897    , 312.15332 ],
 [2575.7334   , 310.9233  ],
 [1501.8259   , 306.90338 ],
 [2110.5227   , 296.8464  ],
 [2244.9456   , 293.22263 ],
 [2222.697    , 275.46265 ],
 [2107.5078   , 272.48926 ],
 [2116.7922   , 250.73589 ],
 [2101.6052   , 233.92429 ],
 [2126.3792   , 219.13815 ],
 [2251.599    , 206.53299 ],
 [2462.094    , 199.18365 ],
 [2465.2488   , 179.30817 ],
 [2228.9934   , 124.466805],
 [2232.0183   ,  97.87825 ],
 [2436.3662   ,2072.6013  ],
 [ 586.0213   ,2021.2745  ],
 [ 913.844    ,1512.3915  ],
 [ 517.7158   ,1428.4421  ],
 [ 679.2      ,1136.2249  ],
 [2003.43     , 347.62714 ],
 [2285.8118   , 133.0906  ],
 [1964.9756   , 359.66495 ],
 [1878.2489   , 397.4999  ],
 [ 500.71408  ,1405.9727  ],
 [1433.493    ,1397.9873  ],
 [ 908.3584   , 651.145   ],
 [1143.9857   , 786.71936 ],
 [1131.7599   , 942.7612  ],
 [1003.63684  , 885.803   ],
 [2851.4421   , 334.3227  ],
 [1408.3925   ,2217.5642  ],
 [ 681.0474   ,2113.9795  ],
 [2435.613    ,2052.1125  ],
 [2366.914    ,2045.5236  ],
 [ 488.73172  ,2030.2081  ],
 [1078.5604   ,2024.3652  ],
 [1710.8545   ,2022.9384  ],
 [1034.7335   ,1210.7399  ],
 [ 942.3418   ,1059.5076  ],
 [1304.3369   ,2018.9934  ],
 [2903.552    ,2009.945   ],
 [1089.5358   ,2007.9673  ],
 [1180.9745   ,2004.2826  ],
 [ 264.97308  ,1999.9187  ],
 [ 685.64575  ,1996.7294  ],
 [1192.5009   ,1989.4891  ],
 [1120.8579   ,1972.9838  ],
 [1063.3514   ,1963.96    ],
 [1719.8783   ,1956.7194  ],
 [1786.1106   ,1950.0934  ],
 [ 355.723    ,1946.0238  ],
 [ 401.50412  ,1941.8182  ],
 [2835.0684   ,1933.707   ],
 [2157.9038   ,1930.008   ],
 [1162.2737   ,1931.494   ],
 [ 927.25476  ,1924.5454  ],
 [1256.1306   ,1920.2448  ],
 [1120.1927   ,1922.6445  ],
 [2165.1414   ,1896.6698  ],
 [ 354.51834  ,1886.9293  ],
 [  57.13739  ,1884.1519  ],
 [ 567.9171   ,1880.8188  ],
 [ 414.59338  ,1863.0454  ],
 [ 140.87305  ,1848.3663  ],
 [ 159.95233  ,1814.9406  ],
 [  55.352173 ,1814.582   ],
 [2620.186    ,1813.5553  ],
 [1812.667    ,1810.8092  ],
 [2812.4702   ,1802.712   ],
 [ 420.24615  ,1800.7709  ],
 [  70.14939  ,1799.9012  ],
 [ 103.556404 ,1798.0559  ],
 [ 197.73941  ,1792.8989  ],
 [2791.1702   ,1789.2795  ],
 [2852.2502   ,1775.6681  ],
 [ 581.58344  ,1774.7101  ],
 [1144.9799   ,1768.2495  ],
 [1724.8583   ,1755.9739  ],
 [ 878.74176  ,1722.3967  ],
 [2166.044    ,1715.5271  ],
 [ 103.877686 ,1715.3411  ],
 [1131.6101   ,1674.1881  ],
 [1314.8201   ,1668.0533  ],
 [ 879.5573   ,1664.6536  ],
 [ 918.8877   ,1657.2567  ],
 [1032.0978   ,1641.0715  ],
 [ 952.40796  ,1630.7786  ],
 [1130.0737   ,1626.7313  ],
 [ 839.74097  ,1591.6306  ],
 [ 688.7941   ,1578.1847  ],
 [ 606.6282   ,1577.2229  ],
 [ 357.42715  ,1577.3834  ],
 [ 882.5292   ,1562.5845  ],
 [1166.7318   ,1555.7809  ],
 [1259.798    ,1550.432   ],
 [ 843.6671   ,1551.2845  ],
 [2131.9697   ,1537.9855  ],
 [ 737.1538   ,1537.0494  ],
 [ 495.51962  ,1512.1852  ],
 [1359.0273   ,1495.8136  ],
 [ 941.1211   ,1489.2865  ],
 [ 830.3892   ,1459.4186  ],
 [1387.7357   ,1625.0314  ],
 [ 550.0146   ,1446.762   ],
 [ 534.56024  ,1416.113   ],
 [ 749.51     ,1412.8119  ],
 [2891.403    ,1407.813   ],
 [ 593.8628   ,1400.4556  ],
 [ 953.2214   ,1387.1595  ],
 [ 761.33777  ,1375.2986  ],
 [1478.4132   ,1371.4731  ],
 [1164.1705   ,1328.7104  ],
 [2180.1108   ,1324.2184  ],
 [1116.0516   ,1681.3964  ],
 [1178.3401   ,1303.8403  ],
 [1067.4241   ,1206.2546  ],
 [ 986.1374   ,1195.0415  ],
 [1875.064    ,1184.5792  ],
 [1110.8568   ,1145.3295  ],
 [1073.8994   ,1139.4481  ],
 [ 745.25653  ,1079.487   ],
 [1004.483    ,1135.4718  ],
 [ 892.68207  ,1124.4132  ],
 [ 956.09973  ,1092.8854  ],
 [ 829.1731   ,1094.3007  ],
 [1037.0122   ,1085.4575  ],
 [1140.9128   ,1078.8704  ],
 [ 582.7864   ,1075.6615  ],
 [1236.1152   ,1066.3824  ],
 [2871.7634   ,1060.0012  ],
 [2901.466    ,1019.4333  ],
 [1179.2737   , 996.98694 ],
 [ 809.8749   , 990.71875 ],
 [1030.9111   , 977.52374 ],
 [1262.6758   , 975.3195  ],
 [ 564.5563   , 975.4261  ],
 [ 852.4119   , 970.04956 ],
 [2256.6575   , 968.30865 ],
 [ 942.58966  , 946.81464 ],
 [ 679.64966  , 939.04175 ],
 [1699.1576   , 926.93445 ],
 [1117.318    , 904.08875 ],
 [1088.186    , 874.3025  ],
 [1633.1578   ,1083.3292  ],
 [1417.0826   ,1971.1056  ],
 [ 975.76263  , 831.2042  ],
 [1007.61224  , 810.7399  ],
 [ 969.702    , 803.0855  ],
 [1963.3104   ,2001.7383  ],
 [2865.0474   , 766.622   ],
 [ 904.1744   , 762.45087 ],
 [1611.9176   , 748.6286  ],
 [1048.8052   , 746.77625 ],
 [ 283.6707   ,2093.7024  ],
 [ 820.2394   , 710.5022  ],
 [1506.0905   , 706.6056  ],
 [1588.7131   , 694.48364 ],
 [1086.3668   , 690.9404  ],
 [ 951.87335  , 684.9052  ],
 [2241.3977   , 142.5422  ],
 [2171.9553   , 174.30084 ],
 [2506.874    , 190.80635 ],
 [2720.899    , 197.18948 ],
 [2646.4678   , 207.46925 ],
 [1621.8563   , 212.32233 ],
 [2380.6248   , 217.09811 ],
 [2203.6934   , 230.98187 ],
 [2694.7007   , 232.15204 ],
 [1018.86414  , 681.5561  ],
 [2381.3455   , 238.53036 ],
 [2745.5305   , 239.2208  ],
 [2729.6746   , 253.5172  ],
 [1495.5966   , 261.69083 ],
 [2784.2634   , 262.7266  ],
 [2657.728    , 264.27036 ],
 [2142.2249   , 285.25278 ],
 [1409.4733   , 287.14444 ],
 [1382.3903   , 293.88034 ],
 [1326.1129   , 324.54715 ],
 [1515.4431   , 329.15598 ],
 [2107.4397   , 342.12515 ],
 [1959.8865   , 343.31238 ],
 [2151.8357   , 344.08905 ],
 [1203.5366   , 370.76868 ],
 [1920.2266   , 373.6157  ],
 [1684.3647   , 414.47406 ],
 [2802.1677   , 415.23273 ],
 [1715.1392   , 674.57697 ],
 [2796.7917   , 432.32648 ],
 [1505.4761   , 446.92117 ],
 [2816.191    , 482.39    ],
 [ 800.76294  , 483.41052 ],
 [2821.625    , 500.58746 ],
 [2620.9648   , 504.09003 ],
 [2337.8052   , 508.85297 ],
 [1287.7914   , 514.44867 ],
 [2330.2463   , 529.07104 ],
 [2313.1025   , 531.87854 ],
 [ 878.5428   , 568.695   ],
 [1265.6035   , 571.80145 ],
 [1909.8345   , 592.06195 ],
 [ 860.84644  , 593.69037 ],
 [1506.1512   , 636.4678  ],
 [1274.351    , 657.52673 ],
 [1043.1132   , 669.88794 ],
 [1338.0345   , 430.5771  ],
 [2212.3528   , 118.04035 ],
 [ 328.52264  ,2094.1929  ],
 [2627.7937   ,2091.6538  ],
 [ 907.58624  ,2059.6086  ],
 [2419.1675   ,2048.862   ],
 [1715.6743   ,2048.6384  ],
 [1897.8333   ,2037.9193  ],
 [1277.3347   ,2028.1521  ],
 [ 305.53632  ,2029.1106  ],
 [2398.0574   ,2019.9348  ],
 [2939.8416   ,1085.7258  ],
 [ 295.3377   ,2019.3652  ],
 [2130.7258   ,2018.3612  ],
 [1658.5293   ,2016.6318  ],
 [1229.1838   ,2016.2535  ],
 [1121.5961   ,2016.0323  ],
 [1461.9946   ,1998.6542  ],
 [1074.6736   ,1998.6089  ],
 [1405.3638   ,1996.2428  ],
 [1391.156    ,1992.2881  ],
 [ 333.71252  ,1993.2947  ],
 [ 255.33922  ,1987.7524  ],
 [ 359.56534  ,1981.667   ],
 [1154.2103   ,1965.2157  ],
 [2159.0364   ,1961.949   ],
 [1204.8583   ,1952.5627  ],
 [2182.0295   ,1950.6309  ],
 [1963.9052   ,1950.1396  ],
 [1025.1893   ,1951.2607  ],
 [1751.7014   ,1940.347   ],
 [2109.0803   ,1938.9801  ],
 [1932.8354   ,1936.649   ],
 [ 715.83075  ,1936.8043  ],
 [ 539.05884  ,1930.1649  ],
 [ 369.62912  ,1930.778   ],
 [2192.0195   ,1926.8402  ],
 [1816.0881   ,1926.1129  ],
 [1930.5543   ,1921.2747  ],
 [1741.6709   ,1913.8701  ],
 [2177.4731   ,1910.5336  ],
 [2153.2617   ,1911.0292  ],
 [2564.7454   , 157.25188 ],
 [ 627.7086   ,1886.2595  ],
 [2035.949    ,1884.4215  ],
 [2778.9268   ,1875.8446  ],
 [1284.4884   ,1094.3839  ],
 [ 346.7997   ,1866.1742  ],
 [ 308.96567  ,1863.8995  ],
 [2730.3328   , 155.82024 ],
 [ 132.31319  ,1862.5237  ],
 [ 631.8816   ,1857.9355  ],
 [2947.0146   ,1020.8571  ],
 [ 448.6242   ,1850.3279  ],
 [2270.0562   , 172.25414 ],
 [ 346.14105  ,1848.6686  ],
 [ 831.1528   ,1059.9032  ],
 [ 550.14465  ,1839.7836  ],
 [ 723.64154  ,1837.9347  ],
 [2803.405    ,1830.283   ],
 [ 694.1253   ,1812.8639  ],
 [2780.4758   ,1806.1105  ],
 [ 670.72626  ,1805.6024  ],
 [ 406.2594   ,1780.0856  ],
 [ 174.70844  ,1776.7682  ],
 [2646.9011   , 174.72404 ],
 [ 719.6022   ,1075.2826  ],
 [2915.0127   ,1758.4955  ],
 [2282.934    , 180.3209  ],
 [ 615.23267  ,1740.3267  ],
 [2399.6772   , 180.50412 ],
 [ 341.08173  ,1738.7819  ],
 [  58.463764 ,1739.3431  ],
 [2585.8618   , 181.7864  ],
 [ 663.42645  ,1731.4121  ],
 [2668.0493   , 186.54724 ],
 [ 120.50273  ,1721.9152  ],
 [ 524.65857  ,1277.0387  ],
 [1089.6376   ,1684.1276  ],
 [2611.7017   ,1677.7067  ],
 [ 947.60406  ,1676.5664  ],
 [ 834.8956   ,1644.2207  ],
 [2303.976    , 201.81337 ],
 [2588.4536   ,1640.7339  ],
 [ 330.34     ,1637.0773  ],
 [ 475.31003  ,1616.7101  ],
 [ 121.499825 ,1613.2529  ],
 [1242.1746   ,1575.3177  ],
 [2166.3738   , 206.18521 ],
 [2615.1443   , 209.96613 ],
 [1163.8752   ,1580.7185  ],
 [ 958.8802   ,1579.5065  ],
 [2888.2646   ,1578.7714  ],
 [2737.327    , 210.1196  ],
 [ 912.8096   ,1091.4501  ],
 [ 326.94412  ,1574.6792  ],
 [1025.4911   ,1569.4028  ],
 [1828.5779   ,1564.6124  ],
 [ 350.631    ,1557.9126  ],
 [2569.61     ,1553.7611  ],
 [2195.7002   , 215.55138 ],
 [1333.4226   ,1529.4093  ],
 [ 667.91046  ,1525.2533  ],
 [2270.1338   , 220.72792 ],
 [1751.4933   ,1521.4778  ],
 [1322.6339   ,1518.8683  ],
 [1304.3015   ,1515.7737  ],
 [1389.1241   ,1512.2106  ],
 [ 826.97144  ,1488.2164  ],
 [ 403.22852  ,1480.7345  ],
 [1138.7948   ,1460.1123  ],
 [1414.4393   ,1432.2374  ],
 [ 573.50946  ,1411.8933  ],
 [1470.5896   ,1407.9037  ],
 [ 754.8863   ,1750.3578  ],
 [1062.0519   ,1370.6912  ],
 [2341.5652   ,1360.571   ],
 [ 884.0975   ,1355.9902  ],
 [ 588.781    ,1334.5925  ],
 [ 617.4188   ,1332.662   ],
 [ 508.29822  ,1329.6763  ],
 [1151.2164   ,1312.1011  ],
 [ 556.3709   ,1312.3334  ],
 [2145.9353   , 224.82777 ],
 [ 622.6786   ,1260.9445  ],
 [ 578.4912   ,1230.9045  ],
 [1011.60077  ,1223.9834  ],
 [1052.1559   ,1215.781   ],
 [ 703.83105  ,1212.8455  ],
 [ 986.15796  ,1058.8672  ],
 [2971.6194   ,1182.8665  ],
 [ 641.37177  ,1178.0819  ],
 [ 827.6234   ,1167.3876  ],
 [ 847.11896  ,1056.0007  ],
 [2366.109    , 237.32695 ],
 [2963.346    ,1031.267   ],
 [1040.5946   ,1021.8355  ],
 [ 712.34094  ,1021.203   ],
 [ 520.66614  ,1154.6051  ],
 [2166.5564   , 239.45735 ],
 [1103.417    , 987.383   ],
 [1072.6421   , 971.2046  ],
 [1184.3826   , 961.70123 ],
 [ 835.9245   , 961.4611  ],
 [1100.9735   , 952.08734 ],
 [ 894.83606  , 951.7923  ],
 [ 759.85516  , 938.9993  ],
 [ 850.4774   , 929.9264  ],
 [ 718.66016  , 930.0243  ],
 [2003.3019   ,1141.8633  ],
 [ 719.20197  , 911.2539  ],
 [ 899.61975  , 905.73083 ],
 [ 857.0174   , 899.5718  ],
 [1076.7449   , 896.3242  ],
 [ 897.72485  , 869.08154 ],
 [ 947.6595   , 859.7939  ],
 [ 898.0741   , 853.58954 ],
 [ 853.26013  , 852.8372  ],
 [1071.9996   , 845.92084 ],
 [ 837.74414  , 844.7035  ],
 [2100.5295   , 253.00952 ],
 [1744.398    , 831.28217 ],
 [ 768.0817   , 827.5725  ],
 [2383.5505   , 258.42792 ],
 [1047.9951   , 813.94934 ],
 [ 942.7987   , 805.5257  ],
 [1494.2921   , 803.7913  ],
 [ 929.9108   , 793.153   ],
 [1083.7028   , 781.36774 ],
 [1334.9961   , 746.5592  ],
 [ 894.8728   , 738.33295 ],
 [1144.8817   , 734.05316 ],
 [1558.2737   , 727.46185 ],
 [1692.2769   ,1126.7749  ],
 [1440.194    , 282.7626  ],
 [1556.0967   , 707.4676  ],
 [ 874.5997   , 707.2101  ],
 [1114.9191   ,1127.9156  ],
 [ 843.71387  , 689.0711  ],
 [1046.2755   ,1127.3158  ],
 [1313.0109   , 655.98517 ],
 [1661.1489   , 654.4421  ],
 [1421.4232   , 644.9574  ],
 [ 975.8113   , 625.2153  ],
 [1509.824    , 619.9123  ],
 [1014.77295  , 620.228   ],
 [1253.897    , 608.94336 ],
 [1345.1521   , 287.47116 ],
 [1308.6035   , 605.53485 ],
 [ 535.2416   ,1111.5087  ],
 [1354.5239   , 594.1054  ],
 [2794.7437   , 571.9985  ],
 [1791.2645   , 533.4807  ],
 [2789.0837   , 510.1797  ],
 [2725.0977   , 502.79507 ],
 [1320.9531   , 296.92285 ],
 [2781.9854   , 470.69852 ],
 [2166.287    , 307.91855 ],
 [ 898.14294  , 467.16956 ],
 [ 861.17957  , 466.39847 ],
 [1158.6146   , 463.22467 ],
 [2764.9487   , 461.73138 ],
 [1898.891    , 461.14426 ],
 [1877.0612   , 441.05832 ],
 [2829.2622   , 434.0652  ],
 [1046.999    , 411.76157 ],
 [2131.8767   , 311.8079  ],
 [1540.7433   ,1101.8492  ],
 [1119.24     , 384.61252 ],
 [1540.821    , 382.50073 ],
 [1363.9832   , 379.9455  ],
 [ 903.7299   ,1102.4043  ],
 [1885.581    , 368.78555 ],
 [2853.139    , 367.62152 ],
 [1328.1943   ,1097.5265  ],
 [1203.6942   , 340.94543 ],
 [2196.6924   , 335.01703 ],
 [1644.4075   , 321.78354 ],
 [1451.1079   , 319.62784 ],
 [1186.9857   , 359.45273 ],
 [1027.7476   , 419.28268 ],
 [1124.354    , 478.67242 ],
 [1348.247    , 555.6468  ],
 [1637.8817   , 719.37585 ],
 [ 997.9926   , 837.0583  ],
 [2926.4744   ,1041.305   ],
 [ 367.40112  ,1525.036   ],
 [  76.43767  ,1642.9401  ],
 [1700.5654   ,1947.7109  ],
 [ 684.4068   ,1780.4199  ],
 [ 520.92224  ,1644.3956  ],
 [  89.19954  ,1621.4968  ],
 [ 599.34607  ,1157.8462  ],
 [ 894.11035  ,1153.8662  ],
 [1304.3663   ,1120.3763  ],
 [1880.1157   , 707.9459  ],
 [1514.7473   , 663.13715 ],
 [ 800.55975  , 621.8008  ],
 [2844.123    , 353.0452  ],
 [1260.365    , 320.20624 ],
 [2540.1968   , 184.56592 ],
 [2264.8167   , 185.1707  ],
 [2296.9255   ,2192.2341  ],
 [2269.2717   ,2192.191   ],
 [1619.6947   ,2180.2957  ],
 [1220.9032   ,2162.8164  ],
 [2267.1091   ,2152.7366  ],
 [2167.1514   , 219.47472 ],
 [ 719.0358   ,2124.422   ],
 [ 518.4199   ,2120.7673  ],
 [2290.0408   ,2101.453   ],
 [ 423.11584  ,2080.8564  ],
 [2269.8872   ,2072.6292  ],
 [1557.834    ,2064.0093  ],
 [1627.2523   ,2059.857   ],
 [1297.2595   ,2055.471   ],
 [1276.0781   ,2053.29    ],
 [2353.495    ,2049.3208  ],
 [1232.4095   ,2046.1573  ],
 [1175.987    ,2036.5927  ],
 [1653.6351   ,2036.0405  ],
 [ 278.17853  ,2036.1226  ],
 [1256.124    ,2030.9015  ],
 [2368.052    ,2029.7277  ],
 [ 363.32382  ,2027.5414  ],
 [1303.4506   ,2026.5598  ],
 [1967.1764   ,2024.5894  ],
 [ 874.1064   ,2022.1837  ],
 [2082.3982   ,2018.5441  ],
 [ 242.34233  ,2014.3005  ],
 [1951.9996   ,2010.817   ],
 [1732.9431   ,2010.6776  ],
 [1153.7465   ,1993.009   ],
 [ 290.0007   ,1991.9827  ],
 [1064.71     ,1987.0625  ],
 [2193.6328   ,1984.6476  ],
 [1908.6185   ,1982.5247  ],
 [1932.2397   ,1980.2323  ],
 [1284.7644   ,1980.0778  ],
 [1260.0883   ,1974.3448  ],
 [ 239.54436  ,1975.0522  ],
 [2003.0297   ,1966.0112  ],
 [1609.4196   ,1964.5159  ],
 [ 413.94836  ,1964.5376  ],
 [1442.1732   ,1953.2096  ],
 [1913.4707   ,1951.4918  ],
 [2543.784    ,1948.4222  ],
 [1899.1659   ,1947.8104  ],
 [1832.9913   ,1947.7832  ],
 [1811.5287   ,1947.7523  ],
 [1411.0554   ,1947.704   ],
 [ 391.98486  ,1939.9728  ],
 [1848.1514   ,1936.7903  ],
 [1183.4479   ,1937.0985  ],
 [ 343.05063  ,1937.5424  ],
 [1205.4685   ,1934.467   ],
 [ 639.4731   ,1933.7537  ],
 [1999.9503   ,1927.472   ],
 [1616.937    ,1924.464   ],
 [1547.406    , 586.78705 ],
 [2758.2935   ,1906.7561  ],
 [1386.6765   ,1905.9852  ],
 [1413.7693   ,1902.2959  ],
 [2932.7744   , 614.21796 ],
 [2776.6584   ,1897.6439  ],
 [2587.283    ,1897.3843  ],
 [1528.4664   ,1892.8523  ],
 [2189.462    ,1890.7753  ],
 [ 553.3902   ,1889.021   ],
 [ 701.7804   ,1882.1409  ],
 [1458.7966   ,1879.7954  ],
 [ 443.6425   ,1878.393   ],
 [ 468.4643   ,1875.3345  ],
 [ 563.7391   ,1873.2592  ],
 [2833.162    ,1872.2384  ],
 [ 321.04218  ,1870.84    ],
 [ 707.0343   ,1867.8685  ],
 [ 594.7787   ,1867.7981  ],
 [ 372.8905   ,1868.0168  ],
 [1716.846    ,1866.9108  ],
 [2765.3945   ,1864.2496  ],
 [ 888.68585  , 826.65625 ],
 [2197.36     ,1863.9528  ],
 [ 657.7445   ,1856.0247  ],
 [2788.0125   ,1838.2025  ],
 [1866.9769   ,1838.6133  ],
 [ 391.41757  ,1836.7952  ],
 [  93.52722  ,1834.1335  ],
 [2787.862    ,1829.9028  ],
 [  78.377914 ,1829.7842  ],
 [1894.5197   ,1824.5358  ],
 [ 383.66043  ,1824.0972  ],
 [ 565.4795   ,1819.7631  ],
 [2885.165    ,1814.4199  ],
 [ 384.32632  ,1814.3518  ],
 [1877.0482   ,1807.1406  ],
 [  34.5375   ,1806.7378  ],
 [ 160.54565  ,1804.6295  ],
 [2758.554    ,1802.6895  ],
 [2962.731    ,1792.811   ],
 [2020.1415   ,1790.3706  ],
 [2820.783    ,1788.148   ],
 [ 823.8093   ,1786.197   ],
 [ 427.97693  ,1785.8439  ],
 [ 135.25179  ,1778.7905  ],
 [1831.1      ,1769.4589  ],
 [2826.0625   ,1768.4458  ],
 [1818.7921   ,1761.8077  ],
 [2953.1633   , 998.5148  ],
 [ 152.04126  ,1749.9199  ],
 [2882.4995   ,1740.0463  ],
 [ 813.7291   ,1734.2402  ],
 [ 928.8054   ,1720.4883  ],
 [2181.6184   ,1712.6261  ],
 [2642.9207   ,1708.7028  ],
 [1135.038    ,1707.1799  ],
 [  73.69798  ,1702.8516  ],
 [1009.87646  ,1698.334   ],
 [1160.8514   ,1694.007   ],
 [ 532.23615  ,1682.1106  ],
 [2582.319    ,1678.2717  ],
 [2653.9202   ,1672.522   ],
 [2641.6465   ,1669.7819  ],
 [ 525.7458   ,1664.7273  ],
 [2935.3203   ,1659.6635  ],
 [2822.8093   ,1659.8112  ],
 [ 767.3431   ,1655.5493  ],
 [2830.5808   ,1649.2103  ],
 [ 784.9813   ,1638.2413  ],
 [ 346.59506  ,1635.2596  ],
 [1048.3534   ,1632.7413  ],
 [1005.14484  ,1619.2484  ],
 [  59.257263 ,1619.0397  ],
 [ 503.3107   ,1616.3898  ],
 [ 461.59836  ,1615.7561  ],
 [ 885.61145  ,1232.7998  ],
 [1361.249    ,1609.2963  ],
 [ 899.5272   ,1606.0576  ],
 [1022.1596   ,1601.9309  ],
 [ 877.9071   ,1601.0469  ],
 [1518.5582   ,1596.4635  ],
 [1062.8533   ,1595.5104  ],
 [ 995.3058   ,1595.2006  ],
 [ 554.1959   ,1265.1161  ],
 [1315.1072   ,1588.5192  ],
 [ 728.9091   ,1569.6909  ],
 [ 341.0429   ,1568.3884  ],
 [ 789.1948   ,1566.9115  ],
 [1106.4093   ,1566.2725  ],
 [ 362.71252  ,1562.722   ],
 [1333.6401   ,1553.6862  ],
 [2892.309    ,1548.274   ],
 [1323.2548   ,1542.826   ],
 [1136.156    ,1541.7291  ],
 [1239.899    ,1539.4618  ],
 [2897.843    ,1535.7301  ],
 [ 374.0387   ,1535.4197  ],
 [ 831.92633  ,1529.8613  ],
 [ 752.0804   ,1524.1006  ],
 [ 646.046    ,1523.637   ],
 [ 416.8279   ,1522.2205  ],
 [ 473.29117  ,1516.7921  ],
 [1808.056    ,1510.826   ],
 [ 935.5977   ,1511.5011  ],
 [ 410.32178  ,1511.0007  ],
 [ 772.2133   ,1509.767   ],
 [1498.4794   ,1503.5538  ],
 [ 336.44672  ,1503.0125  ],
 [ 794.3818   ,1499.9341  ],
 [ 345.1389   ,1495.0586  ],
 [ 369.06848  ,1493.7089  ],
 [ 710.9248   ,1483.2139  ],
 [ 348.7741   ,1482.3928  ],
 [1793.1251   ,1481.1652  ],
 [ 819.01746  ,1475.0312  ],
 [1343.504    ,1465.2633  ],
 [ 881.9465   ,1452.421   ],
 [ 818.3403   ,1446.926   ],
 [1827.5583   ,1438.4952  ],
 [ 979.20764  ,1434.632   ],
 [ 515.2166   ,1422.6595  ],
 [1505.9779   ,1420.5409  ],
 [1473.879    ,1419.5148  ],
 [1152.0988   ,1419.947   ],
 [ 979.13196  ,1416.6819  ],
 [ 731.6705   ,1407.8956  ],
 [ 882.91833  ,1403.623   ],
 [ 626.91016  ,1403.6145  ],
 [ 926.1995   ,1399.8623  ],
 [1516.8348   ,1395.8951  ],
 [ 786.0304   ,1474.4923  ],
 [ 627.0108   ,1391.2507  ],
 [ 785.3366   ,1386.8081  ],
 [ 389.31042  ,1476.849   ],
 [ 882.3617   ,1375.6592  ],
 [1715.8741   ,1373.606   ],
 [ 916.11316  ,1369.5308  ],
 [ 546.8119   ,1367.7083  ],
 [ 517.9492   ,1357.6285  ],
 [ 830.79034  ,1355.418   ],
 [2310.3286   ,1342.0037  ],
 [ 765.86945  ,1340.4114  ],
 [1144.8511   ,1335.3457  ],
 [ 700.2231   ,1315.4949  ],
 [ 523.2968   ,1296.4739  ],
 [1089.5575   ,1295.6414  ],
 [ 606.66003  ,1289.1445  ],
 [ 965.62305  ,1280.6919  ],
 [ 664.831    ,1255.8727  ],
 [2576.5518   ,1251.5381  ],
 [1003.9387   ,1251.0895  ],
 [1712.0126   ,1245.5813  ],
 [ 933.1016   ,1236.1305  ],
 [1677.3203   ,1230.2098  ],
 [1046.924    ,1228.1735  ],
 [ 837.49774  ,1211.6743  ],
 [ 781.3495   ,1208.0208  ],
 [ 586.367    ,1204.888   ],
 [ 528.9873   ,1200.1405  ],
 [1001.05505  ,1661.1783  ],
 [ 491.36502  ,1192.0829  ],
 [ 579.2558   ,1187.993   ],
 [ 852.45184  ,1185.8121  ],
 [1125.7657   ,1178.197   ],
 [ 426.41754  ,1167.9762  ],
 [1034.8887   ,1164.159   ],
 [ 581.98474  ,1156.6854  ],
 [2048.9905   ,1155.3066  ],
 [ 542.9795   ,1155.2577  ],
 [ 415.36154  ,1150.0797  ],
 [ 722.7897   ,1140.0631  ],
 [1101.0496   ,1824.63    ],
 [1005.26575  ,1102.8292  ],
 [ 580.32025  ,1101.9954  ],
 [1985.1892   ,1840.2869  ],
 [1624.6984   ,1095.2002  ],
 [ 564.52203  ,1067.6099  ],
 [2916.9526   ,1065.7063  ],
 [1013.1846   ,1056.1498  ],
 [1985.308    ,1915.426   ],
 [2913.8704   ,1044.9983  ],
 [ 862.5349   ,1042.1058  ],
 [2974.5347   ,1040.5059  ],
 [ 905.73193  ,1036.1113  ],
 [2941.7805   ,1033.7635  ],
 [1031.197    ,1031.2346  ],
 [1239.0513   ,1025.2637  ],
 [1149.0251   ,1025.5662  ],
 [1900.6185   ,1023.896   ],
 [ 708.55774  ,1959.0115  ],
 [2861.4128   ,1009.7443  ],
 [1035.3167   ,1007.63873 ],
 [1096.6836   ,1000.6139  ],
 [1824.7626   , 994.487   ],
 [1060.9696   , 992.0042  ],
 [ 960.53656  , 987.695   ],
 [ 681.2442   , 986.1435  ],
 [ 797.6661   , 984.75073 ],
 [2316.1855   , 148.31259 ],
 [1196.0063   , 979.197   ],
 [ 503.26953  , 977.96576 ],
 [1832.4186   , 970.30383 ],
 [1487.8914   , 969.99664 ],
 [ 715.7105   , 969.8544  ],
 [2224.8572   , 151.72433 ],
 [ 924.77356  , 959.4094  ],
 [2746.7795   , 150.70401 ],
 [2971.749    , 955.79926 ],
 [1221.9625   , 955.3917  ],
 [1073.5529   , 947.9707  ],
 [1161.8524   , 943.5219  ],
 [1803.7887   , 939.73975 ],
 [1172.0023   , 928.3825  ],
 [ 900.49347  , 929.0665  ],
 [ 886.774    , 911.22974 ],
 [2313.2505   , 161.2797  ],
 [ 868.8343   , 892.02844 ],
 [ 976.18567  , 888.75946 ],
 [2444.3853   , 171.15439 ],
 [2306.486    , 172.18025 ],
 [ 597.826    , 881.72076 ],
 [1320.8058   , 879.0388  ],
 [2776.055    , 172.99846 ],
 [1784.3378   , 844.84894 ],
 [ 941.1259   , 839.80646 ],
 [1732.377    , 839.6688  ],
 [ 860.6208   , 837.4806  ],
 [2615.477    , 833.93066 ],
 [1529.5048   , 822.44196 ],
 [1629.4113   , 173.04424 ],
 [ 712.2911   , 807.702   ],
 [1090.4353   , 802.5646  ],
 [ 901.8438   , 793.3999  ],
 [ 839.2058   , 790.5713  ],
 [1309.3552   , 782.74774 ],
 [2429.6816   , 177.9267  ],
 [1130.5869   , 782.26074 ],
 [ 960.13226  , 776.9119  ],
 [1116.2518   , 775.11896 ],
 [2890.6255   , 768.9798  ],
 [1804.8318   , 762.48663 ],
 [2233.919    , 178.47824 ],
 [2900.869    , 753.7776  ],
 [1099.8398   , 740.2127  ],
 [ 864.3637   , 739.2017  ],
 [2165.5642   , 181.85918 ],
 [ 875.04144  , 731.15234 ],
 [2870.0457   , 730.1685  ],
 [2244.224    , 184.89885 ],
 [1034.7305   , 719.0913  ],
 [1072.4963   , 711.3094  ],
 [1327.5641   , 709.81055 ],
 [ 959.23175  , 708.4641  ],
 [ 944.58514  , 706.90625 ],
 [ 858.9973   , 707.4677  ],
 [1496.0204   , 706.17993 ],
 [1522.3242   , 700.0968  ],
 [1627.5353   , 185.62738 ],
 [1287.3849   , 694.7778  ],
 [1155.4727   , 693.3504  ],
 [1181.7363   , 684.7373  ],
 [1026.9742   , 680.9258  ],
 [1337.2407   , 677.1212  ],
 [ 832.94476  , 676.8474  ],
 [ 940.2319   , 664.68054 ],
 [2429.1667   , 189.42682 ],
 [ 984.3558   , 662.9775  ],
 [1704.4386   , 662.57294 ],
 [ 952.12695  , 662.8994  ],
 [1142.1532   , 656.9707  ],
 [1606.2932   , 189.52927 ],
 [ 877.7372   , 651.99884 ],
 [1484.732    , 642.6608  ],
 [ 878.04645  , 638.97974 ],
 [ 831.6215   , 638.1397  ],
 [1473.7344   , 636.4969  ],
 [ 956.6613   , 617.9132  ],
 [ 993.52313  , 614.7098  ],
 [2218.0767   , 194.12584 ],
 [1288.8158   , 612.92725 ],
 [1451.6229   , 607.6575  ],
 [1567.4618   , 597.00305 ],
 [ 999.73145  , 585.18066 ],
 [1575.3773   , 581.1412  ],
 [ 956.8642   , 577.28455 ],
 [1586.885    , 571.0528  ],
 [ 927.76105  , 571.58044 ],
 [1649.358    , 555.4615  ],
 [1440.4746   , 553.29047 ],
 [ 826.7383   , 551.04236 ],
 [1386.5376   , 549.2929  ],
 [1659.3602   , 547.0152  ],
 [2139.5432   , 197.03105 ],
 [ 834.1352   , 539.58044 ],
 [1592.222    , 535.398   ],
 [1484.2335   , 530.1465  ],
 [2793.9788   , 522.1424  ],
 [2680.655    , 509.7848  ],
 [2813.524    , 499.11877 ],
 [1374.9666   , 487.12048 ],
 [2796.8408   , 485.3381  ],
 [1809.657    , 484.9382  ],
 [ 893.54407  , 481.9089  ],
 [ 930.1949   , 454.0748  ],
 [2544.8152   , 197.29207 ],
 [2461.7534   , 441.66815 ],
 [2593.8264   , 197.48625 ],
 [2081.678    , 421.3215  ],
 [1902.3527   , 421.57468 ],
 [1855.3507   , 422.1504  ],
 [1653.0396   , 421.12967 ],
 [1866.2567   , 417.00522 ],
 [1723.4612   , 416.42297 ],
 [1605.7664   , 203.99837 ],
 [2779.2397   , 410.1358  ],
 [2240.3164   , 406.41202 ],
 [2786.3396   , 399.1197  ],
 [2867.5151   , 392.51694 ],
 [1522.6158   , 392.50293 ],
 [1957.5432   , 377.6655  ],
 [1746.401    , 372.38525 ],
 [1911.5831   , 364.5232  ],
 [2139.4407   , 353.0876  ],
 [2212.8416   , 352.0345  ],
 [1993.9242   , 350.60284 ],
 [1470.1344   , 349.53082 ],
 [2504.121    , 204.95517 ],
 [1983.019    , 340.82468 ],
 [1253.7423   , 334.35782 ],
 [2807.0696   , 330.55682 ],
 [2842.3325   , 317.64523 ],
 [2188.2358   , 314.92694 ],
 [2082.2783   , 314.57468 ],
 [1754.7572   , 313.0783  ],
 [2637.6865   , 302.2844  ],
 [1653.2261   , 206.80687 ],
 [2144.6416   , 206.79738 ],
 [1308.8424   , 288.43222 ],
 [2166.2004   , 287.2005  ],
 [2115.6172   , 287.86227 ],
 [2072.9944   , 275.60947 ],
 [2601.4192   , 265.428   ],
 [2079.5366   , 265.1979  ],
 [2643.079    , 258.9937  ],
 [1643.7603   , 211.82631 ],
 [2599.1812   , 254.43173 ],
 [2754.4854   , 251.92    ],
 [2629.8413   , 252.2227  ],
 [2766.9424   , 250.59679 ],
 [2743.2253   , 250.54608 ],
 [2115.1655   , 211.6299  ],
 [1687.657    , 237.37921 ],
 [1488.2312   , 235.68726 ],
 [2711.6177   , 233.30403 ],
 [1440.9253   , 229.34247 ],
 [2360.1975   , 222.08165 ],
 [1678.2762   , 228.22078 ],
 [2154.6675   , 232.06789 ],
 [1206.9761   , 900.6189  ],
 [1221.256    ,2190.532   ],
 [1175.4263   ,2177.4822  ],
 [ 450.65308  ,1139.9236  ],
 [1533.7991   ,2165.4434  ],
 [ 604.62054  ,2131.552   ],
 [ 432.01352  ,2126.259   ],
 [1487.9879   ,2123.255   ],
 [1463.109    ,2112.2795  ],
 [1346.9642   ,2102.6528  ],
 [1511.327    ,2100.2126  ],
 [2351.4094   ,2084.526   ],
 [2263.5266   ,2080.972   ],
 [1120.815    ,2074.3025  ],
 [1257.9762   ,2056.9753  ],
 [1786.288    ,2048.407   ],
 [1199.3842   ,2041.3156  ],
 [ 347.24557  ,2039.9272  ],
 [ 158.67288  ,2038.5619  ],
 [1298.0916   ,2037.215   ],
 [1341.7762   ,2031.2611  ],
 [1700.4214   ,2030.4233  ],
 [1776.9381   ,2027.8153  ],
 [1133.3934   ,2027.9448  ],
 [ 758.4642   ,2026.8813  ],
 [1731.0391   ,2021.4706  ],
 [1251.7322   ,2020.6254  ],
 [1764.8055   ,2019.2235  ],
 [1910.0759   ,2016.3662  ],
 [1159.2422   ,2016.901   ],
 [1280.0077   ,2015.6754  ],
 [1438.608    ,2008.1484  ],
 [1046.7659   ,2007.8445  ],
 [1686.4271   ,2004.4077  ],
 [1269.5828   ,2003.8344  ],
 [ 706.55194  ,2003.76    ],
 [1908.806    ,2000.4554  ],
 [1197.7598   ,1996.5369  ],
 [1706.8768   ,1992.1412  ],
 [1163.8398   ,1991.7512  ],
 [ 523.05786  ,1988.0316  ],
 [1241.8718   ,1987.5262  ],
 [1772.0487   ,1985.8009  ],
 [2003.8206   ,1979.9713  ],
 [ 524.8136   ,1978.167   ],
 [1174.9846   ,1976.5052  ],
 [ 985.45593  ,1976.9124  ],
 [ 534.0617   ,1975.7515  ],
 [1922.1265   ,1973.7129  ],
 [ 184.91414  ,1972.6892  ],
 [1389.575    ,1970.5159  ],
 [1311.9478   ,1968.2268  ],
 [1169.1039   ,1968.301   ],
 [ 637.3473   ,1968.1906  ],
 [1905.451    ,1964.7506  ],
 [2047.6569   ,1963.4382  ],
 [1002.083    ,1961.5245  ],
 [1128.241    ,1959.3752  ],
 [ 377.8478   ,1958.7344  ],
 [1921.9283   ,1957.6161  ],
 [1305.1643   ,1957.0499  ],
 [1239.5527   ,1957.3752  ],
 [1401.6724   ,1952.5104  ],
 [1181.2227   ,1950.0109  ],
 [1254.0117   ,1948.2719  ],
 [1193.1335   ,1948.1168  ],
 [ 376.75864  ,1947.8431  ],
 [1740.0789   ,1945.8501  ],
 [1428.2715   ,1944.2217  ],
 [ 668.2126   ,1940.7747  ],
 [1386.9542   ,1937.4293  ],
 [2060.7947   ,1935.369   ],
 [1193.1221   ,1935.013   ],
 [2068.56     ,1930.7804  ],
 [1804.8424   ,1930.5977  ],
 [2800.271    ,1927.1233  ],
 [1324.1044   ,1925.3396  ],
 [1381.2607   ,1925.0734  ],
 [1065.9059   ,1924.1024  ],
 [ 494.52127  ,1923.5917  ],
 [1709.5582   ,1918.7887  ],
 [2814.3696   ,1917.7401  ],
 [2549.399    ,1918.0593  ],
 [1994.6233   ,1918.0273  ],
 [1632.9177   ,1917.6412  ],
 [ 782.6282   ,1911.745   ],
 [ 619.02875  ,1909.0614  ],
 [ 723.2655   ,1905.5625  ],
 [ 404.1652   ,1893.0452  ],
 [1305.5106   ,1893.1691  ],
 [2214.1323   ,1890.829   ],
 [ 986.8874   ,1252.1482  ],
 [2799.968    ,1883.0126  ],
 [1530.9224   ,1883.2919  ],
 [2325.1199   ,1881.3004  ],
 [ 592.65784  ,1877.7452  ],
 [ 619.0788   ,1875.9698  ],
 [1426.6116   ,1873.3342  ],
 [ 691.9486   ,1868.306   ],
 [ 152.10815  ,1867.6959  ],
 [2249.5977   ,1866.0787  ],
 [ 624.8038   ,1268.1038  ],
 [ 298.51886  ,1854.0354  ],
 [ 144.26784  ,1851.488   ],
 [ 903.42175  ,1850.5243  ],
 [2798.3538   ,1849.2802  ],
 [ 427.06952  ,1848.5465  ],
 [ 256.81345  ,1809.5874  ],
 [ 423.88507  ,1833.1085  ],
 [  52.33367  ,1832.1189  ],
 [ 164.40903  ,1830.3557  ],
 [ 180.86214  ,1827.4481  ],
 [ 102.33193  ,1824.5718  ],
 [ 273.5471   ,1822.2526  ],
 [  73.812645 ,1820.4365  ],
 [ 135.03261  ,1812.8868  ],
 [  86.76612  ,1805.9047  ],
 [ 437.1365   ,1798.9492  ],
 [2199.6118   ,1796.0352  ],
 [ 595.2819   ,1796.9315  ],
 [3010.924    ,1790.7328  ],
 [ 896.8938   ,1312.8904  ],
 [ 146.5428   ,1786.0588  ],
 [ 127.35073  ,1785.9941  ],
 [2809.2356   ,1783.6942  ],
 [2825.7468   ,1781.0538  ],
 [2771.5706   ,1779.6207  ],
 [ 444.354    ,1779.1412  ],
 [ 152.88753  ,1778.379   ],
 [ 602.1608   ,1777.1545  ],
 [ 106.93887  ,1777.219   ],
 [ 162.1348   ,1775.2339  ],
 [2188.323    ,1773.2183  ],
 [ 150.40361  ,1767.0187  ],
 [ 562.81665  ,1335.222   ],
 [ 142.27325  ,1764.3785  ],
 [ 700.95984  ,1756.7146  ],
 [  61.022488 ,1756.7356  ],
 [ 829.1684   ,1755.3737  ],
 [ 116.885376 ,1741.877   ],
 [ 832.93005  ,1740.1802  ],
 [ 919.5438   ,1728.7352  ],
 [2187.27     ,1722.214   ],
 [1015.0738   ,1721.9088  ],
 [ 809.3123   ,1720.7117  ],
 [2763.4587   , 174.9071  ],
 [ 812.51495  ,1700.461   ],
 [ 545.80273  ,1178.19    ],
 [ 280.55417  ,1697.8945  ],
 [2906.1562   ,1695.436   ],
 [ 887.6552   ,1689.291   ],
 [ 795.6187   ,1684.0673  ],
 [1134.5508   ,1679.9761  ],
 [1055.4198   ,1679.3307  ],
 [2628.7725   ,1672.2145  ],
 [ 811.89545  ,1671.9365  ],
 [ 332.53827  ,1670.6947  ],
 [2185.5781   ,1670.2528  ],
 [ 850.2781   ,1662.9624  ],
 [ 366.26883  ,1662.9476  ],
 [2632.122    ,1662.6111  ],
 [2793.2913   ,1660.9191  ],
 [ 518.9338   ,1656.2888  ],
 [1118.622    ,1654.412   ],
 [ 902.54425  , 729.8397  ],
 [ 918.32837  ,1653.0298  ],
 [ 813.16327  ,1653.4429  ],
 [2388.2317   ,1646.8752  ],
 [ 868.3899   ,1644.4202  ],
 [  66.23357  ,1641.6487  ],
 [1666.8395   ,1637.0159  ],
 [2925.7993   ,1634.6979  ],
 [2599.4333   ,1634.9855  ],
 [1089.372    ,1635.8479  ],
 [1546.8585   ,1634.247   ],
 [ 937.14746  ,1633.6536  ],
 [  69.06211  ,1633.5186  ],
 [ 302.60178  ,1629.2891  ],
 [ 914.1236   ,1627.4492  ],
 [  51.399483 ,1625.8303  ],
 [2381.9492   ,1625.269   ],
 [1539.1614   ,1624.7172  ],
 [ 306.61722  ,1621.0898  ],
 [ 975.3548   ,1619.3453  ],
 [ 918.4363   ,1617.8284  ],
 [ 106.85342  ,1615.1971  ],
 [ 831.33875  ,1612.0498  ],
 [ 909.1148   ,1611.1976  ],
 [ 925.79266  ,1610.1945  ],
 [1349.9756   ,1607.3939  ],
 [ 934.99615  ,1607.239   ],
 [2865.0002   ,1602.4972  ],
 [1708.5371   , 702.3721  ],
 [1119.8246   ,1601.9688  ],
 [ 928.7652   ,1600.9482  ],
 [ 632.0943   ,1598.8859  ],
 [ 495.12393  ,1598.1744  ],
 [1089.9143   ,1593.649   ],
 [ 684.4401   ,1591.3273  ],
 [ 814.4445   ,1590.4945  ],
 [2854.9536   ,1587.4891  ],
 [2057.1384   ,1585.747   ],
 [ 322.7726   ,1586.2439  ],
 [1118.4872   ,1585.7351  ],
 [1385.5544   ,1576.5823  ],
 [1136.0492   ,1576.8457  ],
 [ 814.4065   ,1571.9026  ],
 [2031.4438   ,1571.152   ],
 [1328.7394   ,1570.9182  ],
 [1119.6659   ,1568.1198  ],
 [ 799.8304   ,1565.7789  ],
 [ 838.23566  ,1565.722   ],
 [ 879.4845   ,1462.965   ],
 [1064.3314   ,1550.1759  ],
 [2112.4958   ,1542.7455  ],
 [ 800.8748   ,1543.1984  ],
 [ 721.02545  ,1541.7686  ],
 [ 630.96545  ,1539.9888  ],
 [1757.9008   ,1537.4336  ],
 [ 352.75745  ,1536.2925  ],
 [ 842.17834  ,1527.9053  ],
 [ 406.422    ,1527.5273  ],
 [1773.0743   ,1523.5044  ],
 [ 373.59955  ,1511.4043  ],
 [ 422.60922  ,1510.2399  ],
 [1011.97125  ,1505.6105  ],
 [ 836.6458   ,1501.096   ],
 [ 396.62827  ,1500.7909  ],
 [1306.6892   ,1498.8668  ],
 [ 631.15295  ,1496.816   ],
 [ 406.07632  ,1496.9254  ],
 [ 389.7809   ,1493.4934  ],
 [ 832.8689   ,1492.1956  ],
 [1639.508    ,1488.028   ],
 [ 359.91656  ,1485.5968  ],
 [ 414.4289   ,1482.4114  ],
 [ 368.4899   ,1481.2216  ],
 [ 703.98145  ,1475.2183  ],
 [ 382.40164  ,1468.1068  ],
 [ 358.8689   ,1468.9498  ],
 [ 503.46945  ,1465.4501  ],
 [ 404.34598  ,1464.7462  ],
 [ 352.50745  ,1462.7045  ],
 [ 601.8657   ,1459.5743  ],
 [ 872.02435  ,1458.7146  ],
 [2937.0005   ,1456.513   ],
 [ 676.4857   ,1453.465   ],
 [2905.6377   ,1450.6123  ],
 [ 863.4396   ,1448.0701  ],
 [2884.5425   ,1446.7537  ],
 [1136.122    ,1447.6301  ],
 [ 634.93414  ,1444.5963  ],
 [ 887.6278   ,1436.4795  ],
 [ 513.4723   ,1435.3759  ],
 [1013.78217  ,1475.533   ],
 [1407.4934   ,1431.5154  ],
 [ 729.67     ,1428.2573  ],
 [1458.9009   ,1424.74    ],
 [1427.6584   ,1423.2781  ],
 [ 532.4817   ,1421.5251  ],
 [ 417.2223   ,1537.0098  ],
 [1735.0022   ,1414.9661  ],
 [ 541.0418   ,1540.8081  ],
 [ 370.72913  ,1545.1514  ],
 [ 523.9041   ,1400.847   ],
 [ 541.80194  ,1384.2491  ],
 [ 508.64365  ,1383.6478  ],
 [ 911.4521   , 592.4318  ],
 [ 925.0191   ,1377.1562  ],
 [ 707.3584   ,1373.4243  ],
 [1451.6335   ,1367.8777  ],
 [1702.8534   ,1365.8048  ],
 [1723.9796   ,1358.1558  ],
 [ 699.3999   ,1357.7101  ],
 [ 614.24994  ,1353.6383  ],
 [ 542.6951   ,1352.7556  ],
 [ 913.041    ,1348.4918  ],
 [ 604.8734   ,1348.2644  ],
 [1164.5513   ,1345.6392  ],
 [ 942.46484  ,1338.0271  ],
 [1017.7685   ,1334.9885  ],
 [ 605.1635   ,1334.178   ],
 [ 959.15076  ,1332.3203  ],
 [1730.4243   ,1328.7289  ],
 [ 544.6887   ,1327.8293  ],
 [ 493.20062  ,1328.6854  ],
 [1059.9113   ,1314.7753  ],
 [ 547.7926   ,1308.4911  ],
 [1131.4558   ,1303.747   ],
 [ 615.65985  ,1289.1333  ],
 [ 544.4307   ,1289.2617  ],
 [ 916.57965  ,1287.4009  ],
 [ 552.7445   ,1285.8325  ],
 [1021.6234   ,1283.0417  ],
 [ 624.0587   ,1283.4121  ],
 [1095.7708   ,1280.3582  ],
 [1362.7576   ,1277.2764  ],
 [1358.5029   ,1269.378   ],
 [ 567.9332   ,1265.5312  ],
 [ 463.23175  ,1595.9995  ],
 [ 585.6484   ,1263.8646  ],
 [ 523.6503   ,1261.5115  ],
 [ 342.84573  ,1597.5275  ],
 [ 739.1956   , 563.2532  ],
 [ 506.00348  ,1237.6724  ],
 [ 808.73126  ,1236.5739  ],
 [ 700.186    ,1229.9185  ],
 [1142.7013   ,1226.1509  ],
 [ 888.8581   ,1610.2227  ],
 [ 658.89575  ,1219.5115  ],
 [1656.3702   ,1218.508   ],
 [1051.6376   ,1200.4591  ],
 [2036.868    ,1198.2245  ],
 [2960.7114   ,1187.064   ],
 [2003.2982   ,1184.3077  ],
 [1057.6289   ,1184.152   ],
 [ 904.51984  ,1181.3541  ],
 [ 615.2309   ,1180.4861  ],
 [ 440.50397  ,1178.2585  ],
 [2046.3151   ,1173.8958  ],
 [ 602.53357  ,1169.7935  ],
 [2093.8408   ,1156.9397  ],
 [ 716.7995   ,1151.9031  ],
 [1140.4943   ,1150.7488  ],
 [ 691.9248   ,1142.5457  ],
 [ 567.664    ,1141.5885  ],
 [ 704.209    ,1136.5575  ],
 [ 957.0163   ,1134.8044  ],
 [ 496.8445   ,1134.9534  ],
 [2252.3386   , 153.0651  ],
 [ 851.74384  ,1116.571   ],
 [1489.7971   ,1108.4277  ],
 [ 755.61584  ,1103.555   ],
 [1478.1931   ,1097.5352  ],
 [ 765.49567  ,1094.9214  ],
 [ 969.67975  ,1093.0807  ],
 [ 951.02374  ,1662.9009  ],
 [ 595.0082   ,1666.104   ],
 [2940.1663   ,1066.592   ],
 [ 895.4434   ,1062.2192  ],
 [1062.454    ,1061.2305  ],
 [2877.5876   ,1056.6874  ],
 [ 699.3206   ,1055.0569  ],
 [2936.8264   ,1050.6194  ],
 [ 571.00604  ,1050.6809  ],
 [1065.2802   , 483.7437  ],
 [2944.6125   ,1043.6996  ],
 [1766.7754   ,1042.5109  ],
 [1490.1831   ,1041.1736  ],
 [1165.7426   ,1034.1766  ],
 [2194.1775   ,1689.3226  ],
 [1186.9412   ,1027.4347  ],
 [1863.9045   ,1020.166   ],
 [ 803.6458   ,1014.43475 ],
 [1121.1249   , 462.15573 ],
 [ 508.08163  ,1698.3087  ],
 [1269.9559   ,1007.65204 ],
 [ 556.7043   ,1008.45374 ],
 [ 762.0352   ,1007.1691  ],
 [1805.0806   , 448.80655 ],
 [1037.7097   , 996.91907 ],
 [ 905.79553  , 991.2595  ],
 [ 589.69604  , 983.4353  ],
 [ 542.4027   , 980.0969  ],
 [ 759.46045  , 977.0662  ],
 [1182.0046   , 431.64725 ],
 [1248.5121   , 963.0533  ],
 [1121.5397   , 963.5207  ],
 [1138.4352   , 957.97906 ],
 [2959.9675   , 956.3979  ],
 [ 790.32367  , 955.6186  ],
 [ 669.06555  , 952.1583  ],
 [1034.0717   , 944.76263 ],
 [ 847.49445  , 941.06537 ],
 [ 799.4529   , 941.71985 ],
 [1003.13446  , 933.26605 ],
 [ 662.72     , 929.1437  ],
 [ 686.99585  , 926.6954  ],
 [1777.0789   , 920.99695 ],
 [1128.4949   , 916.67865 ],
 [ 599.9068   , 910.50165 ],
 [1221.7756   , 415.6231  ],
 [ 532.6749   , 901.88513 ],
 [1706.985    , 895.78827 ],
 [ 669.4477   , 894.2411  ],
 [2963.0647   ,1748.3373  ],
 [1065.5851   , 889.27985 ],
 [ 923.76886  , 890.2585  ],
 [2967.2979   , 884.0388  ],
 [1175.5089   ,1757.3859  ],
 [ 726.4064   , 873.38855 ],
 [ 684.0542   , 865.0906  ],
 [1247.1484   , 405.87683 ],
 [ 823.8419   , 861.31396 ],
 [1499.3038   , 858.2385  ],
 [1137.9548   , 859.1403  ],
 [ 819.41473  , 850.47485 ],
 [2630.1792   , 844.1887  ],
 [1755.4099   , 844.0792  ],
 [1222.0741   , 842.8176  ],
 [1261.163    , 400.37076 ],
 [1759.947    , 824.8089  ],
 [2899.2014   , 809.3966  ],
 [1902.913    , 396.3942  ],
 [1014.40735  , 806.45435 ],
 [ 833.5034   , 800.2602  ],
 [2916.109    , 796.8081  ],
 [1752.1185   , 794.60693 ],
 [ 915.7528   , 794.9735  ],
 [1145.7766   , 793.0104  ],
 [2955.751    , 788.9421  ],
 [1524.5044   , 788.85443 ],
 [1695.4359   , 782.17993 ],
 [1063.4462   , 781.95575 ],
 [ 639.3853   , 780.8129  ],
 [2569.1333   , 776.6996  ],
 [1033.2124   , 778.3913  ],
 [ 979.1462   , 772.88696 ],
 [ 635.45123  , 772.3363  ],
 [1220.9905   , 765.9207  ],
 [ 874.94617  , 765.5386  ],
 [1109.6346   ,1819.8696  ],
 [1421.2207   , 762.13983 ],
 [1561.4286   , 752.32587 ],
 [1590.9635   , 748.85767 ],
 [ 856.0449   , 747.5544  ],
 [1320.4576   , 739.9336  ],
 [ 844.5562   , 729.34467 ],
 [1571.5446   , 726.4236  ],
 [1073.9459   , 726.92975 ],
 [1055.5854   , 723.71704 ],
 [1327.0269   , 720.985   ],
 [1116.945    , 721.5662  ],
 [ 838.4358   , 721.2176  ],
 [1100.679    , 708.99536 ],
 [1620.2078   , 706.5307  ],
 [ 848.6911   , 700.6708  ],
 [ 570.19183  ,1853.3683  ],
 [ 970.1172   , 694.4897  ],
 [ 870.34985  , 694.5063  ],
 [1552.5677   , 685.581   ],
 [1233.6208   , 685.8442  ],
 [ 983.1929   , 679.09937 ],
 [ 909.3397   , 677.456   ],
 [1058.1906   , 676.6007  ],
 [1313.7372   , 669.7416  ],
 [ 853.8697   , 667.9175  ],
 [1539.4807   , 665.7042  ],
 [1029.3336   , 664.8377  ],
 [1015.3954   , 662.65137 ],
 [ 872.5679   , 661.5573  ],
 [1250.5393   , 660.197   ],
 [ 809.1883   , 655.58496 ],
 [ 840.86285  , 641.3736  ],
 [1287.9714   , 638.1651  ],
 [ 906.49774  , 626.96704 ],
 [1268.5884   , 622.48083 ],
 [1159.399    , 615.94763 ],
 [2905.366    , 612.9684  ],
 [1162.8378   , 607.3336  ],
 [1147.9935   , 604.02356 ],
 [1120.5818   , 599.6944  ],
 [1093.0658   , 594.16394 ],
 [ 873.9617   , 594.25616 ],
 [1078.7482   , 591.61115 ],
 [1032.1506   , 592.2703  ],
 [1015.40515  , 587.2102  ],
 [1118.8298   ,1898.4917  ],
 [1036.5834   , 583.64435 ],
 [1821.6155   , 582.3867  ],
 [1022.13965  , 580.4628  ],
 [1006.6198   , 578.225   ],
 [ 978.15076  , 573.0282  ],
 [1364.1506   , 568.9355  ],
 [ 949.805    , 567.24994 ],
 [ 899.5179   , 566.3825  ],
 [ 934.90515  , 564.68805 ],
 [ 919.9683   , 562.25586 ],
 [ 905.06946  , 559.4625  ],
 [ 856.67664  , 559.40955 ],
 [ 842.30316  , 556.9293  ],
 [ 859.8101   , 551.40173 ],
 [1396.1113   , 548.6579  ],
 [1395.5675   , 522.58105 ],
 [2877.7378   , 521.5103  ],
 [2820.6824   , 518.785   ],
 [2333.3357   , 517.2399  ],
 [2723.5088   , 515.9668  ],
 [1204.9832   , 513.12115 ],
 [2706.0999   , 511.28058 ],
 [1365.2568   ,1935.2565  ],
 [1178.2538   , 506.50623 ],
 [1674.1666   , 505.22037 ],
 [1237.5873   , 497.17612 ],
 [1013.6289   , 496.74533 ],
 [2355.8057   , 495.67303 ],
 [1036.0477   , 494.77432 ],
 [ 796.96564  , 495.30887 ],
 [1509.4861   , 493.68164 ],
 [1556.5154   , 485.35846 ],
 [1042.4742   , 486.36484 ],
 [1056.9084   , 480.68054 ],
 [1071.1716   , 475.29437 ],
 [1085.2308   , 469.36795 ],
 [ 841.6951   , 465.97552 ],
 [1113.0531   , 458.6739  ],
 [2767.2437   , 456.49866 ],
 [1134.877    , 456.11917 ],
 [1127.0098   , 453.17892 ],
 [1199.2919   ,1961.5151  ],
 [1148.704    , 451.30783 ],
 [1720.4269   , 447.9657  ],
 [1140.6874   , 447.71823 ],
 [1162.5074   , 445.56058 ],
 [ 959.5132   , 444.7337  ],
 [1154.2211   , 442.19662 ],
 [1176.0491   , 440.6867  ],
 [1168.1008   , 437.06625 ],
 [1477.7329   , 432.51636 ],
 [1194.8411   , 426.87277 ],
 [2847.1724   , 411.033   ],
 [1234.4698   , 410.7273  ],
 [2878.138    , 409.00662 ],
 [2941.1064   , 405.30637 ],
 [1355.6475   , 396.53073 ],
 [2884.421    , 393.5611  ],
 [1286.7332   , 389.7796  ],
 [1898.5238   , 370.5447  ],
 [1684.1543   , 370.20395 ],
 [1468.2665   , 366.60425 ],
 [1948.2975   , 361.6425  ],
 [1997.8488   , 360.38046 ],
 [2093.7666   , 358.98373 ],
 [2878.3958   , 351.1273  ],
 [2076.839    , 348.5674  ],
 [2173.7603   , 344.6525  ],
 [2213.943    , 343.80063 ],
 [2086.5994   , 341.16412 ],
 [1680.7428   , 338.5548  ],
 [1177.4342   , 334.68777 ],
 [2090.0647   , 331.7499  ],
 [2156.8396   , 326.69244 ],
 [1993.8981   , 325.56268 ],
 [2216.3777   , 324.82104 ],
 [2158.279    , 317.21185 ],
 [2196.4563   , 307.1295  ],
 [2178.7214   , 306.3857  ],
 [2617.061    , 300.83942 ],
 [1278.8629   , 298.89157 ],
 [2172.1606   , 297.12616 ],
 [2158.8845   , 294.69434 ],
 [1624.8683   , 287.40073 ],
 [1672.4604   , 284.50995 ],
 [2710.0237   , 278.56726 ],
 [2149.695    , 274.30685 ],
 [2745.5083   , 269.47452 ],
 [1700.8765   , 266.2154  ],
 [2615.9402   , 260.56686 ],
 [2147.4316   , 258.5545  ],
 [2424.9563   , 254.30417 ],
 [2175.585    , 245.26408 ],
 [2671.8335   , 242.98386 ],
 [2632.3901   , 241.28336 ],
 [2655.7605   , 226.85645 ],
 [2426.4194   , 224.26361 ],
 [2709.3042   , 220.95544 ],
 [2258.1785   , 215.18039 ],
 [2712.2292   , 210.98085 ],
 [2400.7244   , 200.91447 ],
 [2498.8      , 195.72614 ],
 [2392.4387   , 194.17314 ],
 [2556.539    , 192.26283 ],
 [2137.0034   , 188.08524 ],
 [2449.9167   , 186.93658 ],
 [2728.1843   , 208.7542  ],
 [2749.7795   , 184.12152 ],
 [2656.2456   , 182.50153 ],
 [2440.3242   , 181.30353 ],
 [2295.265    , 175.58588 ],
 [2156.1272   , 174.91852 ],
 [2636.2434   , 171.91165 ],
 [2407.5906   , 169.9994  ],
 [2147.8667   , 169.69138 ],
 [2574.7805   , 164.98    ],
 [2270.127    , 158.59819 ],
 [2757.6616   , 145.29599 ],
 [2782.1267   , 128.61035 ],
 [ 293.66266  ,2082.8884  ],
 [1489.8737   ,2106.0122  ],
 [ 653.76044  ,2113.3713  ],
 [1343.6422   ,2114.2556  ],
 [1471.1283   ,2114.3901  ],
 [ 795.85767  ,2123.711   ],
 [1284.5437   ,2193.2192  ],
 [1384.3398   ,2193.3252  ],
 [1553.63     ,2280.346   ],
 [2233.9077   , 153.57303 ],
 [ 359.14746  ,2066.8794  ],
 [ 287.6229   ,2065.75    ],
 [ 368.7726   ,2063.1086  ],
 [1429.9132   ,2060.2393  ],
 [1141.443    ,2056.2942  ],
 [1188.2075   ,2052.514   ],
 [1266.3125   ,2051.1624  ],
 [1260.1906   ,2042.9507  ],
 [2289.6514   , 219.15723 ],
 [1783.004    ,2041.032   ],
 [1676.3566   ,2038.4434  ],
 [ 656.6289   ,2036.7882  ],
 [ 181.78888  ,2035.0492  ],
 [1725.3093   ,2030.5084  ],
 [2132.3008   , 261.05347 ],
 [1954.2278   ,2028.3623  ],
 [2752.6992   , 227.07826 ],
 [1917.6465   ,2019.738   ],
 [1147.5122   ,2018.4967  ],
 [2292.1943   , 293.75983 ],
 [ 156.78955  ,2011.4913  ],
 [1926.6334   ,2007.3026  ],
 [1914.7094   ,2005.191   ],
 [1127.878    ,2002.9834  ],
 [1638.23     ,2000.9238  ],
 [ 989.5469   ,2001.6111  ],
 [1443.7396   ,2000.5898  ],
 [1209.5037   ,1997.1024  ],
 [1061.304    ,1996.4398  ],
 [ 974.158    ,1992.9916  ],
 [2532.3135   , 232.86113 ],
 [2171.7966   , 361.402   ],
 [1172.4182   ,1987.5962  ],
 [1221.7256   ,1985.0247  ],
 [ 140.98831  ,1980.7646  ],
 [1238.581    ,1979.0664  ],
 [1149.4487   ,1978.3237  ],
 [1242.1841   , 413.8365  ],
 [1240.8485   ,1971.3153  ],
 [1202.1732   , 430.21988 ],
 [1977.4049   ,1969.8761  ],
 [1189.2145   , 435.28015 ],
 [ 180.15724  ,1964.344   ],
 [1995.8702   ,1961.5868  ],
 [1472.9099   ,1957.912   ],
 [1849.5608   ,1955.6445  ],
 [1110.5238   ,1955.2787  ],
 [ 302.63715  ,1950.8864  ],
 [ 601.2621   ,1949.9288  ],
 [ 182.75871  ,1950.0453  ],
 [1730.0101   ,1949.3312  ],
 [ 166.72617  ,1947.2904  ],
 [ 580.90735  ,1946.4215  ],
 [1796.8479   ,1942.1871  ],
 [1909.3232   ,1938.7881  ],
 [ 519.67224  ,1937.9711  ],
 [1889.5833   ,1935.7987  ],
 [1813.6012   ,1933.1212  ],
 [1241.5873   ,1931.7518  ],
 [ 430.51968  ,1930.5441  ],
 [1912.082    ,1929.4695  ],
 [2759.2725   ,1928.0415  ],
 [1481.8451   ,1925.5503  ],
 [ 664.45264  ,1924.4447  ],
 [ 707.94183  ,1919.6016  ],
 [ 628.43945  ,1917.6925  ],
 [ 348.11182  ,1918.0988  ],
 [ 691.32544  ,1917.0995  ],
 [ 340.98367  ,1912.377   ],
 [1681.9182   ,1910.5271  ],
 [1707.1547   ,1909.6296  ],
 [1397.0914   ,1905.7545  ],
 [  80.129875 ,1905.7338  ],
 [1985.4457   ,1902.2782  ],
 [2741.3193   ,1897.5256  ],
 [ 712.5331   ,1894.4191  ],
 [2342.513    ,1892.8661  ],
 [2406.2095   , 246.02116 ],
 [2619.7612   , 246.60492 ],
 [2203.8162   ,1880.5314  ],
 [2492.2861   , 248.09491 ],
 [ 339.04123  ,1872.9794  ],
 [ 399.7675   ,1866.6108  ],
 [ 601.7097   ,1866.0115  ],
 [ 478.39252  ,1865.2626  ],
 [ 646.56415  ,1861.5894  ],
 [ 251.30568  ,1858.0098  ],
 [  76.22682  ,1858.3367  ],
 [1911.3158   ,1853.7056  ],
 [2239.3782   , 253.14645 ],
 [ 632.56067  ,1851.4653  ],
 [ 407.30518  ,1852.2662  ],
 [1440.7804   ,1848.8491  ],
 [2803.1924   ,1842.5876  ],
 [ 598.8617   ,1842.7782  ],
 [ 621.3006   ,1839.895   ],
 [ 461.58292  ,1839.3501  ],
 [1091.3473   ,1836.0549  ],
 [ 611.2172   ,1833.4297  ],
 [  42.57925  ,1830.9073  ],
 [ 367.81863  ,1828.4912  ],
 [  45.613823 ,1823.1244  ],
 [ 907.99414  ,1820.9744  ],
 [ 180.40945  ,1819.1385  ],
 [  49.68523  ,1815.7413  ],
 [  39.73317  ,1816.2611  ],
 [2789.721    ,1811.9177  ],
 [ 763.4878   ,1807.6179  ],
 [2767.5798   , 259.37274 ],
 [2750.3562   ,1800.019   ],
 [ 401.38248  ,1800.4896  ],
 [  93.69781  ,1799.5419  ],
 [ 367.977    ,1796.7842  ],
 [ 883.5489   ,1795.7268  ],
 [ 143.57857  ,1794.8108  ],
 [1136.8821   , 809.4197  ],
 [ 713.2526   ,1788.4188  ],
 [1165.1174   ,1787.3864  ],
 [ 742.3898   ,1784.504   ],
 [  93.208145 ,1783.6948  ],
 [2898.8425   ,1782.9518  ],
 [2853.1602   ,1782.23    ],
 [1193.46     ,1780.3153  ],
 [ 190.76636  ,1778.3623  ],
 [ 310.92987  ,1778.2003  ],
 [ 821.71063  ,1773.0814  ],
 [2812.9932   ,1770.5258  ],
 [2235.2454   , 260.94507 ],
 [ 106.35323  ,1768.683   ],
 [2946.866    ,1767.1213  ],
 [ 541.56415  ,1766.5377  ],
 [1138.5449   ,1765.3539  ],
 [ 304.39822  ,1765.2938  ],
 [1446.5297   , 263.36368 ],
 [ 145.87706  ,1758.2301  ],
 [ 805.94543  ,1755.3401  ],
 [1126.0128   ,1752.5026  ],
 [2515.4983   ,1749.8407  ],
 [1729.6315   ,1744.3226  ],
 [1748.5885   ,1742.4844  ],
 [1592.0654   ,1742.8785  ],
 [ 298.8482   ,1743.0757  ],
 [ 870.2453   , 918.56555 ],
 [ 350.7631   ,1736.1348  ],
 [ 687.841    ,1735.2039  ],
 [ 106.265    ,1734.6825  ],
 [1759.689    ,1733.6956  ],
 [1253.6821   , 935.41724 ],
 [2501.7378   ,1730.4253  ],
 [1602.3898   ,1729.3574  ],
 [1129.8033   ,1726.0577  ],
 [ 645.2393   , 946.42224 ],
 [ 973.7662   ,1725.2645  ],
 [1115.2285   ,1719.4907  ],
 [2371.9463   , 267.0161  ],
 [2869.5728   ,1004.7398  ],
 [  83.35882  ,1699.9559  ],
 [1127.6299   ,1698.941   ],
 [ 483.26495  ,1696.5042  ],
 [2638.4753   , 269.34595 ],
 [ 553.0905   ,1691.9923  ],
 [1075.399    ,1689.3164  ],
 [2135.0742   , 273.9584  ],
 [ 792.1365   ,1675.5314  ],
 [ 706.9706   ,1062.073   ],
 [2238.2332   , 272.87994 ],
 [1095.6049   ,1668.6002  ],
 [2577.592    ,1667.4102  ],
 [1053.479    ,1664.4595  ],
 [ 817.3348   ,1664.4677  ],
 [ 798.22943  ,1665.3337  ],
 [1044.7346   ,1653.3058  ],
 [ 458.9924   ,1649.3666  ],
 [2659.7993   ,1646.1719  ],
 [1032.5637   ,1645.5237  ],
 [ 851.30396  ,1645.3038  ],
 [1100.7938   ,1644.5527  ],
 [1086.5276   ,1644.3539  ],
 [ 997.3563   ,1644.3214  ],
 [ 804.95514  ,1643.8523  ],
 [ 818.4959   ,1642.6465  ],
 [ 317.99292  ,1641.2974  ],
 [2800.7751   ,1639.3444  ],
 [2567.1125   ,1637.6909  ],
 [ 812.8505   ,1635.7667  ],
 [ 288.90887  ,1630.9677  ],
 [ 206.2231   ,1630.058   ],
 [1121.3549   ,1628.4637  ],
 [1099.2622   ,1628.9366  ],
 [ 974.53094  ,1627.6174  ],
 [ 869.746    ,1625.7792  ],
 [ 829.7788   ,1626.5476  ],
 [ 804.9766   ,1626.7745  ],
 [ 958.1817   ,1619.5948  ],
 [ 325.15045  ,1619.8003  ],
 [ 824.861    ,1618.7417  ],
 [ 451.89404  ,1611.7959  ],
 [2127.6938   , 284.20895 ],
 [2651.8184   ,1608.7742  ],
 [1004.56946  ,1605.181   ],
 [ 645.8768   ,1602.0319  ],
 [ 504.94022  ,1600.4567  ],
 [ 800.8421   ,1600.2869  ],
 [ 851.27277  ,1595.4384  ],
 [ 798.67993  ,1593.7086  ],
 [2887.198    ,1591.0293  ],
 [ 806.07355  ,1591.08    ],
 [ 579.6576   ,1270.7356  ],
 [ 485.5189   ,1588.8641  ],
 [ 522.62396  ,1272.4001  ],
 [ 341.11127  ,1589.4889  ],
 [ 298.33572  ,1589.4578  ],
 [ 465.36234  ,1587.4333  ],
 [ 332.97757  ,1587.7402  ],
 [1084.2002   ,1586.2299  ],
 [ 315.84613  ,1586.4891  ],
 [ 503.72394  ,1585.5304  ],
 [ 923.59216  ,1583.99    ],
 [2037.2651   ,1580.0706  ],
 [ 799.80707  ,1578.6808  ],
 [1122.281    ,1577.8145  ],
 [ 783.64655  ,1577.904   ],
 [1638.493    , 289.31216 ],
 [ 364.88657  ,1575.2518  ],
 [ 684.93787  ,1571.3176  ],
 [2588.2039   ,1568.7107  ],
 [ 959.70496  ,1567.0002  ],
 [ 889.4432   ,1566.3103  ],
 [ 677.81647  ,1566.3989  ],
 [ 898.9933   ,1564.9612  ],
 [1121.5165   ,1559.7535  ],
 [ 976.6263   ,1557.8844  ],
 [ 370.6496   ,1554.955   ],
 [ 361.74683  ,1552.8468  ],
 [1107.582    ,1552.1096  ],
 [1118.3109   ,1551.115   ],
 [ 854.66504  ,1549.319   ],
 [2365.5835   , 209.55585 ],
 [ 820.6712   ,1546.6261  ],
 [ 362.83804  ,1545.6083  ],
 [ 853.8583   ,1539.2977  ],
 [ 883.21185  ,1418.339   ],
 [1716.0916   ,1538.0176  ],
 [2930.0981   ,1537.1002  ],
 [ 780.44196  ,1535.7307  ],
 [1802.9216   ,1533.6351  ],
 [ 695.18506  ,1532.2313  ],
 [ 652.80927  ,1532.5532  ],
 [1649.5675   , 299.80554 ],
 [1424.2886   ,1527.1239  ],
 [1024.8135   ,1526.1088  ],
 [ 342.21957  ,1526.601   ],
 [ 891.60724  ,1522.3005  ],
 [ 391.89148  ,1522.827   ],
 [ 610.1219   ,1521.2513  ],
 [ 399.13132  ,1521.8003  ],
 [ 355.87213  ,1521.5131  ],
 [ 816.0043   ,1519.9528  ],
 [2255.8645   , 115.26425 ],
 [ 349.09924  ,1516.3041  ],
 [ 337.19455  ,1516.7296  ],
 [1438.9799   , 304.49722 ],
 [ 988.2607   ,1512.7327  ],
 [ 974.2995   ,1510.7561  ],
 [ 808.1792   ,1511.262   ],
 [ 831.7828   ,1508.2198  ],
 [ 356.19464  ,1507.0793  ],
 [ 701.17944  ,1500.8624  ],
 [ 501.39597  ,1495.7714  ],
 [ 415.2887   ,1492.4987  ],
 [ 819.79425  ,1492.2758  ],
 [ 333.67285  ,1491.988   ],
 [2922.2053   ,1489.7322  ],
 [ 631.72687  ,1486.8251  ],
 [ 838.1041   ,1485.2483  ],
 [ 648.4675   ,1481.4003  ],
 [1347.0577   ,1475.6975  ],
 [ 376.8713   ,1476.2277  ],
 [ 823.60693  ,1474.9521  ],
 [ 614.49414  ,1475.9243  ],
 [ 339.84628  ,1474.644   ],
 [ 407.67606  ,1474.3008  ],
 [ 724.87317  ,1469.9214  ],
 [2225.6204   , 308.6969  ],
 [1660.7173   , 309.98758 ],
 [ 768.6151   ,1469.2444  ],
 [ 689.2933   ,1467.3763  ],
 [ 396.54565  ,1468.178   ],
 [ 344.66943  ,1467.8485  ],
 [ 814.5799   ,1465.6183  ],
 [ 917.7749   ,1557.7845  ],
 [ 476.30994  ,1466.3417  ],
 [2285.1128   , 310.34512 ],
 [ 853.6819   ,1573.0957  ],
 [ 979.2136   ,1575.527   ],
 [ 810.54395  ,1457.8997  ],
 [ 428.81262  ,1456.6953  ],
 [ 728.951    ,1453.568   ],
 [ 540.5381   ,1452.3856  ],
 [ 704.0181   ,1448.1537  ],
 [1003.10754  ,1443.156   ],
 [ 914.0653   ,1440.3177  ],
 [ 640.303    ,1440.1776  ],
 [2136.1038   , 312.20923 ],
 [ 629.64594  ,1430.4355  ],
 [2943.5369   ,1428.2556  ],
 [2910.7544   ,1428.4525  ],
 [ 971.59247  ,1428.2092  ],
 [ 791.33954  ,1423.7971  ],
 [1143.6863   ,1418.2917  ],
 [1657.3612   , 317.3884  ],
 [ 593.69727  ,1416.1224  ],
 [1069.2034   ,1408.5782  ],
 [  69.08496  ,1650.3123  ],
 [ 452.77695  ,1407.0304  ],
 [2851.759    , 317.19843 ],
 [ 459.782    ,1406.8004  ],
 [ 831.63995  ,1400.3351  ],
 [ 896.58905  ,1395.8606  ],
 [ 756.22864  ,1394.6569  ],
 [ 540.4703   ,1394.572   ],
 [ 854.37646  ,1393.8009  ],
 [ 840.9066   ,1393.6873  ],
 [1671.8329   , 320.07227 ],
 [1056.8608   ,1384.3208  ],
 [ 470.31757  ,1370.7212  ],
 [2944.4246   ,1360.2363  ],
 [1080.0231   ,1356.8589  ],
 [ 965.8798   ,1350.5747  ],
 [1079.731    ,1349.3451  ],
 [1835.2919   ,1348.7736  ],
 [ 615.6541   ,1342.2346  ],
 [1717.3755   ,1341.2714  ],
 [2844.285    ,1756.2874  ],
 [2107.069    , 322.46002 ],
 [1692.7042   ,1331.8751  ],
 [ 475.19742  ,1331.4579  ],
 [1163.2279   ,1317.7535  ],
 [ 688.1493   ,1314.0883  ],
 [ 404.29233  ,1791.1556  ],
 [ 896.50543  ,1303.832   ],
 [ 958.47125  ,1302.4589  ],
 [ 815.95233  ,1293.1823  ],
 [ 749.90216  ,1292.2211  ],
 [1717.1174   ,1289.4622  ],
 [1126.9089   ,1289.7776  ],
 [1107.2091   ,1288.1929  ],
 [ 638.01605  ,1284.2146  ],
 [ 576.4237   ,1283.2255  ],
 [1741.551    ,1281.3646  ],
 [1000.4772   ,1278.8955  ],
 [1335.0739   ,1272.2244  ],
 [1196.4852   ,1271.4468  ],
 [1734.379    ,1264.2162  ],
 [ 455.11182  ,1263.8654  ],
 [2110.7522   , 331.13434 ],
 [ 576.0116   ,1262.5505  ],
 [ 635.8048   ,1869.0085  ],
 [ 749.1688   ,1251.6267  ],
 [ 756.9373   ,1250.5587  ],
 [ 804.0345   ,1245.188   ],
 [ 817.1747   ,1241.2833  ],
 [ 917.72864  ,1238.4349  ],
 [ 758.0217   ,1233.8766  ],
 [1644.2814   ,1918.6786  ],
 [ 773.26196  ,1232.5597  ],
 [ 518.87036  ,1213.0247  ],
 [ 543.82715  ,1212.2349  ],
 [1726.6626   , 336.62155 ],
 [2891.8567   ,1948.2059  ],
 [2340.194    ,1949.5502  ],
 [1056.896    ,1192.5476  ],
 [2168.389    , 335.93008 ],
 [1139.5898   ,1189.4552  ],
 [2104.559    , 337.299   ],
 [1143.3643   ,1182.2317  ],
 [1130.1702   ,1180.9653  ],
 [ 449.43573  ,1180.8108  ],
 [2071.2493   ,1178.2578  ],
 [2036.354    ,1178.3939  ],
 [2116.406    , 336.81363 ],
 [2224.3577   , 337.9626  ],
 [1140.3184   ,1169.0327  ],
 [ 832.6444   ,1166.1415  ],
 [ 579.5543   ,1164.86    ],
 [ 418.1195   ,1164.7126  ],
 [ 719.0635   ,1161.967   ],
 [ 610.2785   ,1162.1967  ],
 [ 869.84973  ,1160.1495  ],
 [ 712.08594  ,1160.9221  ],
 [1588.356    , 342.45667 ],
 [ 666.1728   ,1152.1515  ],
 [ 460.21353  ,1152.1758  ],
 [ 819.42914  ,1150.0126  ],
 [1418.2402   ,1147.696   ],
 [ 539.9552   ,1143.7936  ],
 [ 656.4515   ,1141.3489  ],
 [1287.2477   ,1141.6782  ],
 [ 664.87585  ,1140.0172  ],
 [ 671.97723  ,1137.8862  ],
 [ 735.50037  ,1137.1296  ],
 [1943.1497   ,1126.7233  ],
 [1680.1665   ,1123.1171  ],
 [ 616.1251   ,1115.2899  ],
 [1706.3186   ,1113.0773  ],
 [ 819.2638   ,1107.1226  ],
 [1943.5963   , 346.94818 ],
 [ 526.81604  ,1104.0864  ],
 [1516.1262   ,1101.7151  ],
 [1967.3533   , 347.63742 ],
 [ 478.15024  ,1099.8328  ],
 [ 747.2751   ,1092.675   ],
 [ 718.5278   ,1092.3126  ],
 [ 690.2057   ,1087.6426  ],
 [ 489.9605   ,1085.5292  ],
 [ 483.43115  ,1083.7365  ],
 [1091.3308   ,1081.9606  ],
 [ 830.01434  ,1081.051   ],
 [1098.8079   ,1079.6442  ],
 [ 551.6928   ,1077.8527  ],
 [1247.1482   ,1077.7482  ],
 [ 648.64844  ,1074.4486  ],
 [ 494.71167  ,1072.3113  ],
 [ 520.29614  ,1062.5864  ],
 [2989.7087   ,1061.9056  ],
 [1117.7324   ,1060.5885  ],
 [2737.7305   , 200.47945 ],
 [ 758.63434  ,1058.7258  ],
 [1102.0537   ,1053.5918  ],
 [1127.6613   ,1044.7546  ],
 [ 853.3737   ,1032.6643  ],
 [ 758.066    ,1028.364   ],
 [ 792.6871   ,1026.4895  ],
 [1884.0371   , 351.3068  ],
 [ 859.53906  ,1019.03546 ],
 [1894.6912   ,1014.13617 ],
 [ 771.0471   ,1007.78613 ],
 [2176.193    , 199.44757 ],
 [2422.6694   , 197.47147 ],
 [ 547.71466  , 996.6098  ],
 [ 652.8157   , 995.0767  ],
 [2959.1843   , 991.2241  ],
 [1824.4849   , 983.5329  ],
 [1146.6614   , 984.1295  ],
 [ 654.50525  , 983.56067 ],
 [1484.3065   , 980.67615 ],
 [ 739.46857  , 980.1655  ],
 [2943.819    , 978.44867 ],
 [1462.568    , 356.9071  ],
 [1856.3624   , 972.80023 ],
 [2297.2673   , 193.91595 ],
 [1701.037    , 356.73178 ],
 [1196.9401   , 963.73895 ],
 [1113.4056   , 954.98505 ],
 [2017.336    , 357.62006 ],
 [ 976.9621   , 953.16864 ],
 [ 909.22974  , 951.94476 ],
 [ 558.42145  , 950.03125 ],
 [ 921.2112   , 949.603   ],
 [ 535.91437  , 947.3112  ],
 [ 663.3022   , 943.8952  ],
 [2164.871    , 358.7836  ],
 [ 675.5329   , 938.7232  ],
 [1485.8073   , 931.4432  ],
 [1715.6223   , 359.9794  ],
 [2227.357    , 192.34468 ],
 [1235.8344   , 928.02325 ],
 [2208.369    , 359.5137  ],
 [ 725.496    , 902.46063 ],
 [1696.8856   , 899.4718  ],
 [ 564.5665   , 898.805   ],
 [1146.9961   , 885.2181  ],
 [1731.9309   , 877.9686  ],
 [1335.9707   , 878.9273  ],
 [2870.0942   , 366.65637 ],
 [ 720.3125   , 862.54584 ],
 [ 836.2436   , 861.7349  ],
 [ 907.26373  , 861.40875 ],
 [2895.7588   , 860.1031  ],
 [ 740.3212   , 849.0661  ],
 [1491.4087   , 833.59973 ],
 [ 635.29266  , 830.6627  ],
 [1063.8434   , 827.41675 ],
 [1483.6565   , 820.1404  ],
 [1229.1593   , 819.70264 ],
 [1097.9576   , 819.7735  ],
 [ 633.1399   , 818.2214  ],
 [ 842.2948   , 808.49084 ],
 [1000.0765   , 803.19165 ],
 [ 764.82404  , 799.36774 ],
 [ 985.95856  , 789.6971  ],
 [ 903.16797  , 784.0082  ],
 [ 915.4638   , 779.62164 ],
 [2414.0518   , 178.76912 ],
 [ 882.204    , 777.7469  ],
 [ 969.20825  , 771.0081  ],
 [1109.4064   , 767.0994  ],
 [2940.9553   , 764.1874  ],
 [1253.9469   , 762.96344 ],
 [1664.582    , 380.0794  ],
 [ 915.89966  , 757.6561  ],
 [ 659.73083  , 754.0917  ],
 [1140.6677   , 751.9303  ],
 [1123.0387   , 736.05524 ],
 [2421.3337   , 174.89258 ],
 [ 856.95087  , 733.78625 ],
 [ 669.6014   , 731.4347  ],
 [2539.9912   , 173.57007 ],
 [ 829.6974   , 724.5441  ],
 [ 883.8924   , 719.3125  ],
 [1299.5208   , 385.66702 ],
 [ 859.0503   , 717.1879  ],
 [ 833.3453   , 709.6914  ],
 [1147.6722   , 707.41974 ],
 [2720.66     , 171.16534 ],
 [1748.479    , 389.84186 ],
 [ 878.55     , 681.8583  ],
 [ 918.3264   , 679.8163  ],
 [1501.7545   , 677.9078  ],
 [1492.1362   , 677.8278  ],
 [1129.6702   , 671.8302  ],
 [1253.8708   , 670.0343  ],
 [1235.3129   , 669.9761  ],
 [2795.7031   , 167.23683 ],
 [1644.1771   , 656.6128  ],
 [1548.7001   , 655.6091  ],
 [ 701.53894  , 654.6197  ],
 [1511.2708   , 645.1973  ],
 [1273.5114   , 395.86926 ],
 [1544.3834   , 637.2895  ],
 [1111.0492   , 632.6731  ],
 [1229.255    , 628.8832  ],
 [ 788.93524  , 626.4841  ],
 [1780.8312   , 617.9887  ],
 [2274.813    , 166.5068  ],
 [ 954.8139   , 603.47894 ],
 [1279.1049   , 602.4934  ],
 [1894.1415   , 398.9982  ],
 [1759.0571   , 399.80762 ],
 [1702.6013   , 588.4742  ],
 [ 892.2789   , 581.0504  ],
 [2720.4028   , 566.7752  ],
 [1998.5228   , 403.55756 ],
 [1128.3127   , 551.961   ],
 [1620.725    , 166.93282 ],
 [1376.0569   , 548.7512  ],
 [1735.0104   , 546.23    ],
 [1574.2758   , 543.91266 ],
 [2246.1091   , 162.49895 ],
 [2841.9314   , 403.3976  ],
 [2816.459    , 529.5113  ],
 [2808.4475   , 517.47516 ],
 [1716.3834   , 514.59784 ],
 [1294.6155   , 511.89664 ],
 [1786.5033   , 502.9416  ],
 [1866.3975   , 497.16147 ],
 [2737.7927   , 496.6309  ],
 [1369.0747   , 495.09546 ],
 [2245.5625   , 148.36743 ],
 [2325.5942   , 487.04745 ],
 [2767.5193   , 145.30664 ],
 [1694.7798   , 482.90143 ],
 [2788.2922   , 408.14056 ],
 [1265.4933   , 479.49933 ],
 [1582.1018   , 473.58762 ],
 [2868.89     , 407.26523 ],
 [2752.5251   , 459.33615 ],
 [1700.5228   , 456.71533 ],
 [1729.6754   , 450.1055  ],
 [2216.4797   , 131.41753 ],
 [2759.9072   , 439.58084 ],
 [1865.0974   , 439.71838 ],
 [1802.606    , 438.2602  ],
 [2122.848    , 431.411   ],
 [2068.2234   , 432.32596 ],
 [1215.6003   , 424.87033 ],
 [1962.7556   , 422.70154 ],
 [1208.0801   , 421.92123 ],
 [1780.8971   , 419.09186 ],
 [1342.3865   , 419.6175  ],
 [1228.6674   , 419.41748 ]])

camera1 = {'model': 'PINHOLE', 'width': 3072, 'height': 2304, 'params': [2555.378190542179, 1536.0, 1152.0, -0.02032161065492252]}
camera2 = {'model': 'PINHOLE', 'width': 3072, 'height': 2304, 'params': [2555.378190542179, 1536.0, 1152.0, -0.02032161065492252]}

print(corresponding1,corresponding2,camera1,camera2)

result = poselib.estimate_relative_pose(corresponding1,corresponding2,camera1,camera2)

sfm-user-1 avatar Oct 30 '23 14:10 sfm-user-1

Hi, Unfortunately I cannot reproduce this bug. It seems to work both on my M1 laptop, and my regular desktop.

Are you building from the master branch?

Also, side note: you probably want the camera model to be "SIMPLE_RADIAL" and not "PINHOLE". At least from looking at the parameter values.

vlarsson avatar Oct 31 '23 10:10 vlarsson

@sfm-user-1 did you manage to solve the issue? I'm having the same problem on ubuntu, tried the master branch and all the pypi versions. Calling poselib.CameraPose() segfaults as well

Linusnie avatar Jul 02 '24 17:07 Linusnie

I would suggest trying in a docker image. I started the following PR some time ago (it is not updated, especially the python part). But you can give a try to see if this is happing to you inside the docker image, so we can reproduce the error: https://github.com/PoseLib/PoseLib/pull/52

pablospe avatar Jul 03 '24 08:07 pablospe

@pablospe thanks for the link! With docker I can run the example without problems

In fact, by looking at the Dockerfile I found that running

pip install pybind11
scripts/build_python_package.sh

on that branch works successfully outside of docker as well

Linusnie avatar Jul 03 '24 09:07 Linusnie

You might need to merge to main branch to get the latest commits, but that probably will break the python script. Let me know how it goes in that case. For the moment I will close this issue.

pablospe avatar Jul 03 '24 10:07 pablospe

Hi, I had the same issue (including the segfault with poselib.CameraPose) on multiple computers and systems. In my case the cause was NumPy 2.0.0, which introduces breaking ABI changes.

v-pnk avatar Jul 22 '24 14:07 v-pnk

Thanks for the update @v-pnk ! I had other issues with segfaulting which were resolved by bumping the pybind11 to the most recent commit. If you still have the setup where it breaks, could you try if this resolves the issue? Thanks!

vlarsson avatar Jul 23 '24 11:07 vlarsson

This should hopefully be resolved in 2.0.4.

vlarsson avatar Aug 05 '24 12:08 vlarsson

I am still getting Segmentation fault (core dumped).

dd2912 avatar Aug 07 '24 00:08 dd2912

I am still getting Segmentation fault (core dumped).

Could you comment more how did you compile it?

pablospe avatar Aug 07 '24 09:08 pablospe

Thanks for the update @v-pnk ! I had other issues with segfaulting which were resolved by bumping the pybind11 to the most recent commit. If you still have the setup where it breaks, could you try if this resolves the issue? Thanks!

Sorry for the late reply. It seems my issue is resolved in 2.0.4. Did not get segfault even with NumPy 2.0.0. Thank you!

v-pnk avatar Aug 09 '24 13:08 v-pnk