MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: arki0018

Formats ams gms mod nl osil
Primal Bounds
0.01045662 p1 ( gdx sol )
(infeas: 3e-14)
Dual Bounds
0.01045662 (ANTIGONE)
-2.96568958 (BARON)
-2194.97565800 (COUENNE)
-1.18028701 (LINDO)
-7.44158265 (SCIP)
Source ARKI Consulting Client Models
Added to library 31 Jul 2001
Problem type NLP
#Variables 9804
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 9804
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type nonlinear
Objective curvature nonconcave
#Nonzeros in Objective 9804
#Nonlinear Nonzeros in Objective 9804
#Constraints 9
#Linear Constraints 9
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions mul log
Constraints curvature linear
#Nonzeros in Jacobian 31858
#Nonlinear Nonzeros in Jacobian 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian 9804
#Nonzeros in Diagonal of Hessian of Lagrangian 9804
#Blocks in Hessian of Lagrangian 9804
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 1
Average blocksize in Hessian of Lagrangian 1.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 0.2017
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*         10       10        0        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*       9805     9805        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*      41663    31859     9804        0
*
*  Solve m using NLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
          ,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
          ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
          ,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
          ,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
          ,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
          ,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
          ,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
          ,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
          ,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
          ,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
          ,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
          ,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
          ,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389
          ,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
          ,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415
          ,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
          ,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
          ,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454
          ,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466,x467
          ,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479,x480
          ,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492,x493
          ,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505,x506
          ,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518,x519
          ,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531,x532
          ,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544,x545
          ,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557,x558
          ,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570,x571
          ,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583,x584
          ,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596,x597
          ,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609,x610
          ,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622,x623
          ,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635,x636
          ,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648,x649
          ,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661,x662
          ,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673,x674,x675
          ,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686,x687,x688
          ,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699,x700,x701
          ,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712,x713,x714
          ,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725,x726,x727
          ,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738,x739,x740
          ,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751,x752,x753
          ,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763,x764,x765,x766
          ,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777,x778,x779
          ,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790,x791,x792
          ,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803,x804,x805
          ,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816,x817,x818
          ,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829,x830,x831
          ,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842,x843,x844
          ,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854,x855,x856,x857
          ,x858,x859,x860,x861,x862,x863,x864,x865,x866,x867,x868,x869,x870
          ,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880,x881,x882,x883
          ,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893,x894,x895,x896
          ,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906,x907,x908,x909
          ,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920,x921,x922
          ,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933,x934,x935
          ,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946,x947,x948
          ,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958,x959,x960,x961
          ,x962,x963,x964,x965,x966,x967,x968,x969,x970,x971,x972,x973,x974
          ,x975,x976,x977,x978,x979,x980,x981,x982,x983,x984,x985,x986,x987
          ,x988,x989,x990,x991,x992,x993,x994,x995,x996,x997,x998,x999,x1000
          ,x1001,x1002,x1003,x1004,x1005,x1006,x1007,x1008,x1009,x1010,x1011
          ,x1012,x1013,x1014,x1015,x1016,x1017,x1018,x1019,x1020,x1021,x1022
          ,x1023,x1024,x1025,x1026,x1027,x1028,x1029,x1030,x1031,x1032,x1033
          ,x1034,x1035,x1036,x1037,x1038,x1039,x1040,x1041,x1042,x1043,x1044
          ,x1045,x1046,x1047,x1048,x1049,x1050,x1051,x1052,x1053,x1054,x1055
          ,x1056,x1057,x1058,x1059,x1060,x1061,x1062,x1063,x1064,x1065,x1066
          ,x1067,x1068,x1069,x1070,x1071,x1072,x1073,x1074,x1075,x1076,x1077
          ,x1078,x1079,x1080,x1081,x1082,x1083,x1084,x1085,x1086,x1087,x1088
          ,x1089,x1090,x1091,x1092,x1093,x1094,x1095,x1096,x1097,x1098,x1099
          ,x1100,x1101,x1102,x1103,x1104,x1105,x1106,x1107,x1108,x1109,x1110
          ,x1111,x1112,x1113,x1114,x1115,x1116,x1117,x1118,x1119,x1120,x1121
          ,x1122,x1123,x1124,x1125,x1126,x1127,x1128,x1129,x1130,x1131,x1132
          ,x1133,x1134,x1135,x1136,x1137,x1138,x1139,x1140,x1141,x1142,x1143
          ,x1144,x1145,x1146,x1147,x1148,x1149,x1150,x1151,x1152,x1153,x1154
          ,x1155,x1156,x1157,x1158,x1159,x1160,x1161,x1162,x1163,x1164,x1165
          ,x1166,x1167,x1168,x1169,x1170,x1171,x1172,x1173,x1174,x1175,x1176
          ,x1177,x1178,x1179,x1180,x1181,x1182,x1183,x1184,x1185,x1186,x1187
          ,x1188,x1189,x1190,x1191,x1192,x1193,x1194,x1195,x1196,x1197,x1198
          ,x1199,x1200,x1201,x1202,x1203,x1204,x1205,x1206,x1207,x1208,x1209
          ,x1210,x1211,x1212,x1213,x1214,x1215,x1216,x1217,x1218,x1219,x1220
          ,x1221,x1222,x1223,x1224,x1225,x1226,x1227,x1228,x1229,x1230,x1231
          ,x1232,x1233,x1234,x1235,x1236,x1237,x1238,x1239,x1240,x1241,x1242
          ,x1243,x1244,x1245,x1246,x1247,x1248,x1249,x1250,x1251,x1252,x1253
          ,x1254,x1255,x1256,x1257,x1258,x1259,x1260,x1261,x1262,x1263,x1264
          ,x1265,x1266,x1267,x1268,x1269,x1270,x1271,x1272,x1273,x1274,x1275
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          ,x1287,x1288,x1289,x1290,x1291,x1292,x1293,x1294,x1295,x1296,x1297
          ,x1298,x1299,x1300,x1301,x1302,x1303,x1304,x1305,x1306,x1307,x1308
          ,x1309,x1310,x1311,x1312,x1313,x1314,x1315,x1316,x1317,x1318,x1319
          ,x1320,x1321,x1322,x1323,x1324,x1325,x1326,x1327,x1328,x1329,x1330
          ,x1331,x1332,x1333,x1334,x1335,x1336,x1337,x1338,x1339,x1340,x1341
          ,x1342,x1343,x1344,x1345,x1346,x1347,x1348,x1349,x1350,x1351,x1352
          ,x1353,x1354,x1355,x1356,x1357,x1358,x1359,x1360,x1361,x1362,x1363
          ,x1364,x1365,x1366,x1367,x1368,x1369,x1370,x1371,x1372,x1373,x1374
          ,x1375,x1376,x1377,x1378,x1379,x1380,x1381,x1382,x1383,x1384,x1385
          ,x1386,x1387,x1388,x1389,x1390,x1391,x1392,x1393,x1394,x1395,x1396
          ,x1397,x1398,x1399,x1400,x1401,x1402,x1403,x1404,x1405,x1406,x1407
          ,x1408,x1409,x1410,x1411,x1412,x1413,x1414,x1415,x1416,x1417,x1418
          ,x1419,x1420,x1421,x1422,x1423,x1424,x1425,x1426,x1427,x1428,x1429
          ,x1430,x1431,x1432,x1433,x1434,x1435,x1436,x1437,x1438,x1439,x1440
          ,x1441,x1442,x1443,x1444,x1445,x1446,x1447,x1448,x1449,x1450,x1451
          ,x1452,x1453,x1454,x1455,x1456,x1457,x1458,x1459,x1460,x1461,x1462
          ,x1463,x1464,x1465,x1466,x1467,x1468,x1469,x1470,x1471,x1472,x1473
          ,x1474,x1475,x1476,x1477,x1478,x1479,x1480,x1481,x1482,x1483,x1484
          ,x1485,x1486,x1487,x1488,x1489,x1490,x1491,x1492,x1493,x1494,x1495
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          ,x1518,x1519,x1520,x1521,x1522,x1523,x1524,x1525,x1526,x1527,x1528
          ,x1529,x1530,x1531,x1532,x1533,x1534,x1535,x1536,x1537,x1538,x1539
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          ,x1617,x1618,x1619,x1620,x1621,x1622,x1623,x1624,x1625,x1626,x1627
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          ,x1672,x1673,x1674,x1675,x1676,x1677,x1678,x1679,x1680,x1681,x1682
          ,x1683,x1684,x1685,x1686,x1687,x1688,x1689,x1690,x1691,x1692,x1693
          ,x1694,x1695,x1696,x1697,x1698,x1699,x1700,x1701,x1702,x1703,x1704
          ,x1705,x1706,x1707,x1708,x1709,x1710,x1711,x1712,x1713,x1714,x1715
          ,x1716,x1717,x1718,x1719,x1720,x1721,x1722,x1723,x1724,x1725,x1726
          ,x1727,x1728,x1729,x1730,x1731,x1732,x1733,x1734,x1735,x1736,x1737
          ,x1738,x1739,x1740,x1741,x1742,x1743,x1744,x1745,x1746,x1747,x1748
          ,x1749,x1750,x1751,x1752,x1753,x1754,x1755,x1756,x1757,x1758,x1759
          ,x1760,x1761,x1762,x1763,x1764,x1765,x1766,x1767,x1768,x1769,x1770
          ,x1771,x1772,x1773,x1774,x1775,x1776,x1777,x1778,x1779,x1780,x1781
          ,x1782,x1783,x1784,x1785,x1786,x1787,x1788,x1789,x1790,x1791,x1792
          ,x1793,x1794,x1795,x1796,x1797,x1798,x1799,x1800,x1801,x1802,x1803
          ,x1804,x1805,x1806,x1807,x1808,x1809,x1810,x1811,x1812,x1813,x1814
          ,x1815,x1816,x1817,x1818,x1819,x1820,x1821,x1822,x1823,x1824,x1825
          ,x1826,x1827,x1828,x1829,x1830,x1831,x1832,x1833,x1834,x1835,x1836
          ,x1837,x1838,x1839,x1840,x1841,x1842,x1843,x1844,x1845,x1846,x1847
          ,x1848,x1849,x1850,x1851,x1852,x1853,x1854,x1855,x1856,x1857,x1858
          ,x1859,x1860,x1861,x1862,x1863,x1864,x1865,x1866,x1867,x1868,x1869
          ,x1870,x1871,x1872,x1873,x1874,x1875,x1876,x1877,x1878,x1879,x1880
          ,x1881,x1882,x1883,x1884,x1885,x1886,x1887,x1888,x1889,x1890,x1891
          ,x1892,x1893,x1894,x1895,x1896,x1897,x1898,x1899,x1900,x1901,x1902
          ,x1903,x1904,x1905,x1906,x1907,x1908,x1909,x1910,x1911,x1912,x1913
          ,x1914,x1915,x1916,x1917,x1918,x1919,x1920,x1921,x1922,x1923,x1924
          ,x1925,x1926,x1927,x1928,x1929,x1930,x1931,x1932,x1933,x1934,x1935
          ,x1936,x1937,x1938,x1939,x1940,x1941,x1942,x1943,x1944,x1945,x1946
          ,x1947,x1948,x1949,x1950,x1951,x1952,x1953,x1954,x1955,x1956,x1957
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          ,x9559,x9560,x9561,x9562,x9563,x9564,x9565,x9566,x9567,x9568,x9569
          ,x9570,x9571,x9572,x9573,x9574,x9575,x9576,x9577,x9578,x9579,x9580
          ,x9581,x9582,x9583,x9584,x9585,x9586,x9587,x9588,x9589,x9590,x9591
          ,x9592,x9593,x9594,x9595,x9596,x9597,x9598,x9599,x9600,x9601,x9602
          ,x9603,x9604,x9605,x9606,x9607,x9608,x9609,x9610,x9611,x9612,x9613
          ,x9614,x9615,x9616,x9617,x9618,x9619,x9620,x9621,x9622,x9623,x9624
          ,x9625,x9626,x9627,x9628,x9629,x9630,x9631,x9632,x9633,x9634,x9635
          ,x9636,x9637,x9638,x9639,x9640,x9641,x9642,x9643,x9644,x9645,x9646
          ,x9647,x9648,x9649,x9650,x9651,x9652,x9653,x9654,x9655,x9656,x9657
          ,x9658,x9659,x9660,x9661,x9662,x9663,x9664,x9665,x9666,x9667,x9668
          ,x9669,x9670,x9671,x9672,x9673,x9674,x9675,x9676,x9677,x9678,x9679
          ,x9680,x9681,x9682,x9683,x9684,x9685,x9686,x9687,x9688,x9689,x9690
          ,x9691,x9692,x9693,x9694,x9695,x9696,x9697,x9698,x9699,x9700,x9701
          ,x9702,x9703,x9704,x9705,x9706,x9707,x9708,x9709,x9710,x9711,x9712
          ,x9713,x9714,x9715,x9716,x9717,x9718,x9719,x9720,x9721,x9722,x9723
          ,x9724,x9725,x9726,x9727,x9728,x9729,x9730,x9731,x9732,x9733,x9734
          ,x9735,x9736,x9737,x9738,x9739,x9740,x9741,x9742,x9743,x9744,x9745
          ,x9746,x9747,x9748,x9749,x9750,x9751,x9752,x9753,x9754,x9755,x9756
          ,x9757,x9758,x9759,x9760,x9761,x9762,x9763,x9764,x9765,x9766,x9767
          ,x9768,x9769,x9770,x9771,x9772,x9773,x9774,x9775,x9776,x9777,x9778
          ,x9779,x9780,x9781,x9782,x9783,x9784,x9785,x9786,x9787,x9788,x9789
          ,x9790,x9791,x9792,x9793,x9794,x9795,x9796,x9797,x9798,x9799,x9800
          ,x9801,x9802,x9803,x9804,objvar;

Positive Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
          ,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
          ,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
          ,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68
          ,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85
          ,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
          ,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
          ,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127
          ,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140
          ,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153
          ,x154,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166
          ,x167,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179
          ,x180,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192
          ,x193,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205
          ,x206,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218
          ,x219,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231
          ,x232,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244
          ,x245,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257
          ,x258,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270
          ,x271,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283
          ,x284,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296
          ,x297,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309
          ,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322
          ,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335
          ,x336,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348
          ,x349,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361
          ,x362,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374
          ,x375,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387
          ,x388,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400
          ,x401,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413
          ,x414,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426
          ,x427,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439
          ,x440,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452
          ,x453,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465
          ,x466,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478
          ,x479,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491
          ,x492,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504
          ,x505,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517
          ,x518,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530
          ,x531,x532,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543
          ,x544,x545,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556
          ,x557,x558,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569
          ,x570,x571,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582
          ,x583,x584,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595
          ,x596,x597,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608
          ,x609,x610,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621
          ,x622,x623,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634
          ,x635,x636,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647
          ,x648,x649,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660
          ,x661,x662,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673
          ,x674,x675,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686
          ,x687,x688,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699
          ,x700,x701,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712
          ,x713,x714,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725
          ,x726,x727,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738
          ,x739,x740,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751
          ,x752,x753,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763,x764
          ,x765,x766,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777
          ,x778,x779,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790
          ,x791,x792,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803
          ,x804,x805,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816
          ,x817,x818,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829
          ,x830,x831,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842
          ,x843,x844,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854,x855
          ,x856,x857,x858,x859,x860,x861,x862,x863,x864,x865,x866,x867,x868
          ,x869,x870,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880,x881
          ,x882,x883,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893,x894
          ,x895,x896,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906,x907
          ,x908,x909,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920
          ,x921,x922,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933
          ,x934,x935,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946
          ,x947,x948,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958,x959
          ,x960,x961,x962,x963,x964,x965,x966,x967,x968,x969,x970,x971,x972
          ,x973,x974,x975,x976,x977,x978,x979,x980,x981,x982,x983,x984,x985
          ,x986,x987,x988,x989,x990,x991,x992,x993,x994,x995,x996,x997,x998
          ,x999,x1000,x1001,x1002,x1003,x1004,x1005,x1006,x1007,x1008,x1009
          ,x1010,x1011,x1012,x1013,x1014,x1015,x1016,x1017,x1018,x1019,x1020
          ,x1021,x1022,x1023,x1024,x1025,x1026,x1027,x1028,x1029,x1030,x1031
          ,x1032,x1033,x1034,x1035,x1036,x1037,x1038,x1039,x1040,x1041,x1042
          ,x1043,x1044,x1045,x1046,x1047,x1048,x1049,x1050,x1051,x1052,x1053
          ,x1054,x1055,x1056,x1057,x1058,x1059,x1060,x1061,x1062,x1063,x1064
          ,x1065,x1066,x1067,x1068,x1069,x1070,x1071,x1072,x1073,x1074,x1075
          ,x1076,x1077,x1078,x1079,x1080,x1081,x1082,x1083,x1084,x1085,x1086
          ,x1087,x1088,x1089,x1090,x1091,x1092,x1093,x1094,x1095,x1096,x1097
          ,x1098,x1099,x1100,x1101,x1102,x1103,x1104,x1105,x1106,x1107,x1108
          ,x1109,x1110,x1111,x1112,x1113,x1114,x1115,x1116,x1117,x1118,x1119
          ,x1120,x1121,x1122,x1123,x1124,x1125,x1126,x1127,x1128,x1129,x1130
          ,x1131,x1132,x1133,x1134,x1135,x1136,x1137,x1138,x1139,x1140,x1141
          ,x1142,x1143,x1144,x1145,x1146,x1147,x1148,x1149,x1150,x1151,x1152
          ,x1153,x1154,x1155,x1156,x1157,x1158,x1159,x1160,x1161,x1162,x1163
          ,x1164,x1165,x1166,x1167,x1168,x1169,x1170,x1171,x1172,x1173,x1174
          ,x1175,x1176,x1177,x1178,x1179,x1180,x1181,x1182,x1183,x1184,x1185
          ,x1186,x1187,x1188,x1189,x1190,x1191,x1192,x1193,x1194,x1195,x1196
          ,x1197,x1198,x1199,x1200,x1201,x1202,x1203,x1204,x1205,x1206,x1207
          ,x1208,x1209,x1210,x1211,x1212,x1213,x1214,x1215,x1216,x1217,x1218
          ,x1219,x1220,x1221,x1222,x1223,x1224,x1225,x1226,x1227,x1228,x1229
          ,x1230,x1231,x1232,x1233,x1234,x1235,x1236,x1237,x1238,x1239,x1240
          ,x1241,x1242,x1243,x1244,x1245,x1246,x1247,x1248,x1249,x1250,x1251
          ,x1252,x1253,x1254,x1255,x1256,x1257,x1258,x1259,x1260,x1261,x1262
          ,x1263,x1264,x1265,x1266,x1267,x1268,x1269,x1270,x1271,x1272,x1273
          ,x1274,x1275,x1276,x1277,x1278,x1279,x1280,x1281,x1282,x1283,x1284
          ,x1285,x1286,x1287,x1288,x1289,x1290,x1291,x1292,x1293,x1294,x1295
          ,x1296,x1297,x1298,x1299,x1300,x1301,x1302,x1303,x1304,x1305,x1306
          ,x1307,x1308,x1309,x1310,x1311,x1312,x1313,x1314,x1315,x1316,x1317
          ,x1318,x1319,x1320,x1321,x1322,x1323,x1324,x1325,x1326,x1327,x1328
          ,x1329,x1330,x1331,x1332,x1333,x1334,x1335,x1336,x1337,x1338,x1339
          ,x1340,x1341,x1342,x1343,x1344,x1345,x1346,x1347,x1348,x1349,x1350
          ,x1351,x1352,x1353,x1354,x1355,x1356,x1357,x1358,x1359,x1360,x1361
          ,x1362,x1363,x1364,x1365,x1366,x1367,x1368,x1369,x1370,x1371,x1372
          ,x1373,x1374,x1375,x1376,x1377,x1378,x1379,x1380,x1381,x1382,x1383
          ,x1384,x1385,x1386,x1387,x1388,x1389,x1390,x1391,x1392,x1393,x1394
          ,x1395,x1396,x1397,x1398,x1399,x1400,x1401,x1402,x1403,x1404,x1405
          ,x1406,x1407,x1408,x1409,x1410,x1411,x1412,x1413,x1414,x1415,x1416
          ,x1417,x1418,x1419,x1420,x1421,x1422,x1423,x1424,x1425,x1426,x1427
          ,x1428,x1429,x1430,x1431,x1432,x1433,x1434,x1435,x1436,x1437,x1438
          ,x1439,x1440,x1441,x1442,x1443,x1444,x1445,x1446,x1447,x1448,x1449
          ,x1450,x1451,x1452,x1453,x1454,x1455,x1456,x1457,x1458,x1459,x1460
          ,x1461,x1462,x1463,x1464,x1465,x1466,x1467,x1468,x1469,x1470,x1471
          ,x1472,x1473,x1474,x1475,x1476,x1477,x1478,x1479,x1480,x1481,x1482
          ,x1483,x1484,x1485,x1486,x1487,x1488,x1489,x1490,x1491,x1492,x1493
          ,x1494,x1495,x1496,x1497,x1498,x1499,x1500,x1501,x1502,x1503,x1504
          ,x1505,x1506,x1507,x1508,x1509,x1510,x1511,x1512,x1513,x1514,x1515
          ,x1516,x1517,x1518,x1519,x1520,x1521,x1522,x1523,x1524,x1525,x1526
          ,x1527,x1528,x1529,x1530,x1531,x1532,x1533,x1534,x1535,x1536,x1537
          ,x1538,x1539,x1540,x1541,x1542,x1543,x1544,x1545,x1546,x1547,x1548
          ,x1549,x1550,x1551,x1552,x1553,x1554,x1555,x1556,x1557,x1558,x1559
          ,x1560,x1561,x1562,x1563,x1564,x1565,x1566,x1567,x1568,x1569,x1570
          ,x1571,x1572,x1573,x1574,x1575,x1576,x1577,x1578,x1579,x1580,x1581
          ,x1582,x1583,x1584,x1585,x1586,x1587,x1588,x1589,x1590,x1591,x1592
          ,x1593,x1594,x1595,x1596,x1597,x1598,x1599,x1600,x1601,x1602,x1603
          ,x1604,x1605,x1606,x1607,x1608,x1609,x1610,x1611,x1612,x1613,x1614
          ,x1615,x1616,x1617,x1618,x1619,x1620,x1621,x1622,x1623,x1624,x1625
          ,x1626,x1627,x1628,x1629,x1630,x1631,x1632,x1633,x1634,x1635,x1636
          ,x1637,x1638,x1639,x1640,x1641,x1642,x1643,x1644,x1645,x1646,x1647
          ,x1648,x1649,x1650,x1651,x1652,x1653,x1654,x1655,x1656,x1657,x1658
          ,x1659,x1660,x1661,x1662,x1663,x1664,x1665,x1666,x1667,x1668,x1669
          ,x1670,x1671,x1672,x1673,x1674,x1675,x1676,x1677,x1678,x1679,x1680
          ,x1681,x1682,x1683,x1684,x1685,x1686,x1687,x1688,x1689,x1690,x1691
          ,x1692,x1693,x1694,x1695,x1696,x1697,x1698,x1699,x1700,x1701,x1702
          ,x1703,x1704,x1705,x1706,x1707,x1708,x1709,x1710,x1711,x1712,x1713
          ,x1714,x1715,x1716,x1717,x1718,x1719,x1720,x1721,x1722,x1723,x1724
          ,x1725,x1726,x1727,x1728,x1729,x1730,x1731,x1732,x1733,x1734,x1735
          ,x1736,x1737,x1738,x1739,x1740,x1741,x1742,x1743,x1744,x1745,x1746
          ,x1747,x1748,x1749,x1750,x1751,x1752,x1753,x1754,x1755,x1756,x1757
          ,x1758,x1759,x1760,x1761,x1762,x1763,x1764,x1765,x1766,x1767,x1768
          ,x1769,x1770,x1771,x1772,x1773,x1774,x1775,x1776,x1777,x1778,x1779
          ,x1780,x1781,x1782,x1783,x1784,x1785,x1786,x1787,x1788,x1789,x1790
          ,x1791,x1792,x1793,x1794,x1795,x1796,x1797,x1798,x1799,x1800,x1801
          ,x1802,x1803,x1804,x1805,x1806,x1807,x1808,x1809,x1810,x1811,x1812
          ,x1813,x1814,x1815,x1816,x1817,x1818,x1819,x1820,x1821,x1822,x1823
          ,x1824,x1825,x1826,x1827,x1828,x1829,x1830,x1831,x1832,x1833,x1834
          ,x1835,x1836,x1837,x1838,x1839,x1840,x1841,x1842,x1843,x1844,x1845
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          ,x9458,x9459,x9460,x9461,x9462,x9463,x9464,x9465,x9466,x9467,x9468
          ,x9469,x9470,x9471,x9472,x9473,x9474,x9475,x9476,x9477,x9478,x9479
          ,x9480,x9481,x9482,x9483,x9484,x9485,x9486,x9487,x9488,x9489,x9490
          ,x9491,x9492,x9493,x9494,x9495,x9496,x9497,x9498,x9499,x9500,x9501
          ,x9502,x9503,x9504,x9505,x9506,x9507,x9508,x9509,x9510,x9511,x9512
          ,x9513,x9514,x9515,x9516,x9517,x9518,x9519,x9520,x9521,x9522,x9523
          ,x9524,x9525,x9526,x9527,x9528,x9529,x9530,x9531,x9532,x9533,x9534
          ,x9535,x9536,x9537,x9538,x9539,x9540,x9541,x9542,x9543,x9544,x9545
          ,x9546,x9547,x9548,x9549,x9550,x9551,x9552,x9553,x9554,x9555,x9556
          ,x9557,x9558,x9559,x9560,x9561,x9562,x9563,x9564,x9565,x9566,x9567
          ,x9568,x9569,x9570,x9571,x9572,x9573,x9574,x9575,x9576,x9577,x9578
          ,x9579,x9580,x9581,x9582,x9583,x9584,x9585,x9586,x9587,x9588,x9589
          ,x9590,x9591,x9592,x9593,x9594,x9595,x9596,x9597,x9598,x9599,x9600
          ,x9601,x9602,x9603,x9604,x9605,x9606,x9607,x9608,x9609,x9610,x9611
          ,x9612,x9613,x9614,x9615,x9616,x9617,x9618,x9619,x9620,x9621,x9622
          ,x9623,x9624,x9625,x9626,x9627,x9628,x9629,x9630,x9631,x9632,x9633
          ,x9634,x9635,x9636,x9637,x9638,x9639,x9640,x9641,x9642,x9643,x9644
          ,x9645,x9646,x9647,x9648,x9649,x9650,x9651,x9652,x9653,x9654,x9655
          ,x9656,x9657,x9658,x9659,x9660,x9661,x9662,x9663,x9664,x9665,x9666
          ,x9667,x9668,x9669,x9670,x9671,x9672,x9673,x9674,x9675,x9676,x9677
          ,x9678,x9679,x9680,x9681,x9682,x9683,x9684,x9685,x9686,x9687,x9688
          ,x9689,x9690,x9691,x9692,x9693,x9694,x9695,x9696,x9697,x9698,x9699
          ,x9700,x9701,x9702,x9703,x9704,x9705,x9706,x9707,x9708,x9709,x9710
          ,x9711,x9712,x9713,x9714,x9715,x9716,x9717,x9718,x9719,x9720,x9721
          ,x9722,x9723,x9724,x9725,x9726,x9727,x9728,x9729,x9730,x9731,x9732
          ,x9733,x9734,x9735,x9736,x9737,x9738,x9739,x9740,x9741,x9742,x9743
          ,x9744,x9745,x9746,x9747,x9748,x9749,x9750,x9751,x9752,x9753,x9754
          ,x9755,x9756,x9757,x9758,x9759,x9760,x9761,x9762,x9763,x9764,x9765
          ,x9766,x9767,x9768,x9769,x9770,x9771,x9772,x9773,x9774,x9775,x9776
          ,x9777,x9778,x9779,x9780,x9781,x9782,x9783,x9784,x9785,x9786,x9787
          ,x9788,x9789,x9790,x9791,x9792,x9793,x9794,x9795,x9796,x9797,x9798
          ,x9799,x9800,x9801,x9802,x9803,x9804;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10;


e1..    2.82135148717322*x25 + 2.82135148717322*x26 + 2.82135148717322*x27
      + 2.82135148717322*x28 + 5.64270297434644*x57 + 2.82135148717322*x58
      + 2.82135148717322*x60 + 2.82135148717322*x81 + 5.64270297434644*x84
      + 2.82135148717322*x102 + 2.82135148717322*x104 + 2.82135148717322*x112
      + 5.64270297434644*x129 + 2.82135148717322*x131 + 2.82135148717322*x153
      + 2.82135148717322*x156 + 2.82135148717322*x170 + 2.82135148717322*x171
      + 8.46405446151967*x172 + 2.82135148717322*x198 + 5.64270297434644*x200
      + 2.82135148717322*x242 + 8.46405446151967*x243 + 11.2854059486929*x244
      + 2.82135148717322*x261 + 2.82135148717322*x262 + 2.82135148717322*x264
      + 2.82135148717322*x265 + 2.82135148717322*x267 + 2.82135148717322*x269
      + 2.82135148717322*x270 + 5.64270297434644*x272 + 2.82135148717322*x273
      + 5.64270297434644*x275 + 2.82135148717322*x276 + 2.82135148717322*x277
      + 2.82135148717322*x279 + 5.64270297434644*x283 + 2.82135148717322*x287
      + 5.64270297434644*x340 + 2.82135148717322*x342 + 5.64270297434644*x344
      + 2.82135148717322*x345 + 8.46405446151967*x358 + 2.82135148717322*x359
      + 2.82135148717322*x360 + 2.82135148717322*x361 + 8.46405446151967*x382
      + 5.64270297434644*x383 + 2.82135148717322*x384 + 5.64270297434644*x385
      + 8.46405446151967*x401 + 5.64270297434644*x402 + 2.82135148717322*x408
      + 8.46405446151967*x409 + 5.64270297434644*x410 + 2.82135148717322*x411
      + 2.82135148717322*x432 + 2.82135148717322*x434 + 5.64270297434644*x435
      + 8.46405446151967*x436 + 2.82135148717322*x438 + 2.82135148717322*x448
      + 2.82135148717322*x449 + 2.82135148717322*x450 + 2.82135148717322*x451
      + 8.46405446151967*x489 + 8.46405446151967*x490 + 2.82135148717322*x514
      + 2.82135148717322*x516 + 2.82135148717322*x517 + 5.64270297434644*x518
      + 8.46405446151967*x530 + 2.82135148717322*x531 + 14.1067574358661*x537
      + 8.46405446151967*x538 + 5.64270297434644*x539 + 2.82135148717322*x540
      + 2.82135148717322*x544 + 2.82135148717322*x545 + 2.82135148717322*x547
      + 5.64270297434644*x550 + 2.82135148717322*x552 + 5.64270297434644*x553
      + 5.64270297434644*x554 + 8.46405446151967*x556 + 2.82135148717322*x594
      + 5.64270297434644*x595 + 2.82135148717322*x596 + 2.82135148717322*x598
      + 2.82135148717322*x599 + 5.64270297434644*x600 + 2.82135148717322*x601
      + 11.2854059486929*x603 + 2.82135148717322*x607 + 2.82135148717322*x608
      + 2.82135148717322*x610 + 2.82135148717322*x611 + 2.82135148717322*x613
      + 2.82135148717322*x616 + 5.64270297434644*x618 + 2.82135148717322*x621
      + 2.82135148717322*x630 + 2.82135148717322*x633 + 2.82135148717322*x634
      + 2.82135148717322*x636 + 2.82135148717322*x638 + 5.64270297434644*x641
      + 2.82135148717322*x648 + 2.82135148717322*x650 + 5.64270297434644*x651
      + 2.82135148717322*x652 + 2.82135148717322*x654 + 2.82135148717322*x656
      + 5.64270297434644*x657 + 2.82135148717322*x658 + 2.82135148717322*x661
      + 2.82135148717322*x662 + 2.82135148717322*x663 + 2.82135148717322*x667
      + 2.82135148717322*x671 + 2.82135148717322*x672 + 2.82135148717322*x673
      + 2.82135148717322*x675 + 2.82135148717322*x676 + 2.82135148717322*x677
      + 8.46405446151967*x679 + 2.82135148717322*x680 + 5.64270297434644*x681
      + 2.82135148717322*x683 + 2.82135148717322*x687 + 5.64270297434644*x688
      + 8.46405446151967*x690 + 2.82135148717322*x697 + 2.82135148717322*x699
      + 2.82135148717322*x700 + 2.82135148717322*x706 + 2.82135148717322*x707
      + 2.82135148717322*x708 + 2.82135148717322*x710 + 5.64270297434644*x711
      + 11.2854059486929*x712 + 5.64270297434644*x713 + 2.82135148717322*x714
      + 8.46405446151967*x715 + 2.82135148717322*x716 + 5.64270297434644*x718
      + 2.82135148717322*x719 + 2.82135148717322*x720 + 5.64270297434644*x769
      + 2.82135148717322*x770 + 2.82135148717322*x782 + 5.64270297434644*x783
      + 5.64270297434644*x784 + 2.82135148717322*x825 + 2.82135148717322*x826
      + 11.2854059486929*x828 + 5.64270297434644*x854 + 2.82135148717322*x855
      + 5.64270297434644*x856 + 2.82135148717322*x920 + 2.82135148717322*x924
      + 2.82135148717322*x925 + 2.82135148717322*x926 + 2.82135148717322*x929
      + 2.82135148717322*x930 + 2.82135148717322*x931 + 2.82135148717322*x932
      + 2.82135148717322*x938 + 2.82135148717322*x940 + 2.82135148717322*x941
      + 2.82135148717322*x942 + 2.82135148717322*x943 + 2.82135148717322*x947
      + 5.64270297434644*x952 + 2.82135148717322*x953 + 2.82135148717322*x954
      + 5.64270297434644*x969 + 2.82135148717322*x970 + 2.82135148717322*x971
      + 8.46405446151967*x972 + 2.82135148717322*x974 + 2.82135148717322*x979
      + 11.2854059486929*x980 + 14.1067574358661*x982 + 5.64270297434644*x983
      + 5.64270297434644*x984 + 2.82135148717322*x987 + 2.82135148717322*x988
      + 5.64270297434644*x990 + 5.64270297434644*x991 + 8.46405446151967*x1009
      + 5.64270297434644*x1010 + 5.64270297434644*x1011
      + 2.82135148717322*x1032 + 2.82135148717322*x1033
      + 8.46405446151967*x1035 + 5.64270297434644*x1037
      + 2.82135148717322*x1039 + 2.82135148717322*x1040
      + 2.82135148717322*x1041 + 5.64270297434644*x1042
      + 8.46405446151967*x1043 + 2.82135148717322*x1056
      + 2.82135148717322*x1057 + 2.82135148717322*x1058
      + 2.82135148717322*x1070 + 2.82135148717322*x1071
      + 2.82135148717322*x1072 + 2.82135148717322*x1073
      + 2.82135148717322*x1074 + 5.64270297434644*x1075
      + 5.64270297434644*x1076 + 2.82135148717322*x1078
      + 2.82135148717322*x1079 + 2.82135148717322*x1088
      + 2.82135148717322*x1089 + 2.82135148717322*x1091
      + 2.82135148717322*x1092 + 2.82135148717322*x1093
      + 2.82135148717322*x1094 + 8.46405446151967*x1095
      + 2.82135148717322*x1104 + 5.64270297434644*x1105
      + 2.82135148717322*x1106 + 2.82135148717322*x1136
      + 2.82135148717322*x1137 + 2.82135148717322*x1138
      + 2.82135148717322*x1139 + 5.64270297434644*x1156
      + 2.82135148717322*x1157 + 2.82135148717322*x1158
      + 2.82135148717322*x1159 + 2.82135148717322*x1160
      + 8.46405446151967*x1162 + 5.64270297434644*x1163
      + 5.64270297434644*x1188 + 5.64270297434644*x1189
      + 2.82135148717322*x1201 + 5.64270297434644*x1203
      + 5.64270297434644*x1204 + 2.82135148717322*x1207
      + 8.46405446151967*x1208 + 2.82135148717322*x1209
      + 2.82135148717322*x1211 + 5.64270297434644*x1213
      + 2.82135148717322*x1214 + 2.82135148717322*x1215
      + 2.82135148717322*x1217 + 5.64270297434644*x1219
      + 5.64270297434644*x1220 + 5.64270297434644*x1222
      + 2.82135148717322*x1224 + 2.82135148717322*x1225
      + 2.82135148717322*x1228 + 2.82135148717322*x1229
      + 2.82135148717322*x1230 + 2.82135148717322*x1234
      + 2.82135148717322*x1236 + 2.82135148717322*x1239
      + 2.82135148717322*x1240 + 2.82135148717322*x1252
      + 2.82135148717322*x1253 + 5.64270297434644*x1254
      + 2.82135148717322*x1260 + 5.64270297434644*x1279
      + 5.64270297434644*x1281 + 2.82135148717322*x1284
      + 2.82135148717322*x1285 + 5.64270297434644*x1318
      + 5.64270297434644*x1319 + 2.82135148717322*x1320
      + 5.64270297434644*x1321 + 11.2854059486929*x1347
      + 2.82135148717322*x1349 + 2.82135148717322*x1350
      + 8.46405446151967*x1351 + 2.82135148717322*x1352
      + 5.64270297434644*x1353 + 2.82135148717322*x1354
      + 5.64270297434644*x1371 + 5.64270297434644*x1372
      + 5.64270297434644*x1373 + 2.82135148717322*x1374
      + 2.82135148717322*x1375 + 2.82135148717322*x1376
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      + 2.82135148717322*x1379 + 8.46405446151967*x1380
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      + 2.82135148717322*x1383 + 5.64270297434644*x1384
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      + 8.46405446151967*x1394 + 2.82135148717322*x1398
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      + 5.64270297434644*x1424 + 2.82135148717322*x1425
      + 2.82135148717322*x1426 + 2.82135148717322*x1459
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      + 8.46405446151967*x1497 + 2.82135148717322*x1498
      + 2.82135148717322*x1515 + 5.64270297434644*x1516
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      + 2.82135148717322*x1521 + 2.82135148717322*x1522
      + 5.64270297434644*x1540 + 2.82135148717322*x1543
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      + 5.64270297434644*x1712 + 8.46405446151967*x1715
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      + 6.45773089000025*x9793 + 3.22886544500012*x9794
      + 3.22886544500012*x9799 =E= 1;

e5..    2.55973177833986*x1 + 1.27986588916993*x2 + 1.27986588916993*x3
      + 1.27986588916993*x4 + 2.55973177833986*x6 + 1.27986588916993*x7
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      + 5.68752257646298*x9527 + 5.68752257646298*x9537
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      + 5.68752257646298*x9573 + 5.68752257646298*x9574
      + 17.0625677293889*x9575 + 11.375045152926*x9576 + 5.68752257646298*x9581
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      + 5.68752257646298*x9709 + 5.68752257646298*x9722
      + 5.68752257646298*x9772 + 5.68752257646298*x9784 =E= 1;

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      + x9503 + x9504 + x9505 + x9506 + x9507 + x9508 + x9509 + x9510 + x9511
      + x9512 + x9513 + x9514 + x9515 + x9516 + x9517 + x9518 + x9519 + x9520
      + x9521 + x9522 + x9523 + x9524 + x9525 + x9526 + x9527 + x9528 + x9529
      + x9530 + x9531 + x9532 + x9533 + x9534 + x9535 + x9536 + x9537 + x9538
      + x9539 + x9540 + x9541 + x9542 + x9543 + x9544 + x9545 + x9546 + x9547
      + x9548 + x9549 + x9550 + x9551 + x9552 + x9553 + x9554 + x9555 + x9556
      + x9557 + x9558 + x9559 + x9560 + x9561 + x9562 + x9563 + x9564 + x9565
      + x9566 + x9567 + x9568 + x9569 + x9570 + x9571 + x9572 + x9573 + x9574
      + x9575 + x9576 + x9577 + x9578 + x9579 + x9580 + x9581 + x9582 + x9583
      + x9584 + x9585 + x9586 + x9587 + x9588 + x9589 + x9590 + x9591 + x9592
      + x9593 + x9594 + x9595 + x9596 + x9597 + x9598 + x9599 + x9600 + x9601
      + x9602 + x9603 + x9604 + x9605 + x9606 + x9607 + x9608 + x9609 + x9610
      + x9611 + x9612 + x9613 + x9614 + x9615 + x9616 + x9617 + x9618 + x9619
      + x9620 + x9621 + x9622 + x9623 + x9624 + x9625 + x9626 + x9627 + x9628
      + x9629 + x9630 + x9631 + x9632 + x9633 + x9634 + x9635 + x9636 + x9637
      + x9638 + x9639 + x9640 + x9641 + x9642 + x9643 + x9644 + x9645 + x9646
      + x9647 + x9648 + x9649 + x9650 + x9651 + x9652 + x9653 + x9654 + x9655
      + x9656 + x9657 + x9658 + x9659 + x9660 + x9661 + x9662 + x9663 + x9664
      + x9665 + x9666 + x9667 + x9668 + x9669 + x9670 + x9671 + x9672 + x9673
      + x9674 + x9675 + x9676 + x9677 + x9678 + x9679 + x9680 + x9681 + x9682
      + x9683 + x9684 + x9685 + x9686 + x9687 + x9688 + x9689 + x9690 + x9691
      + x9692 + x9693 + x9694 + x9695 + x9696 + x9697 + x9698 + x9699 + x9700
      + x9701 + x9702 + x9703 + x9704 + x9705 + x9706 + x9707 + x9708 + x9709
      + x9710 + x9711 + x9712 + x9713 + x9714 + x9715 + x9716 + x9717 + x9718
      + x9719 + x9720 + x9721 + x9722 + x9723 + x9724 + x9725 + x9726 + x9727
      + x9728 + x9729 + x9730 + x9731 + x9732 + x9733 + x9734 + x9735 + x9736
      + x9737 + x9738 + x9739 + x9740 + x9741 + x9742 + x9743 + x9744 + x9745
      + x9746 + x9747 + x9748 + x9749 + x9750 + x9751 + x9752 + x9753 + x9754
      + x9755 + x9756 + x9757 + x9758 + x9759 + x9760 + x9761 + x9762 + x9763
      + x9764 + x9765 + x9766 + x9767 + x9768 + x9769 + x9770 + x9771 + x9772
      + x9773 + x9774 + x9775 + x9776 + x9777 + x9778 + x9779 + x9780 + x9781
      + x9782 + x9783 + x9784 + x9785 + x9786 + x9787 + x9788 + x9789 + x9790
      + x9791 + x9792 + x9793 + x9794 + x9795 + x9796 + x9797 + x9798 + x9799
      + x9800 + x9801 + x9802 + x9803 + x9804 =E= 1;

e10.. -(log(0.132174553351022 + 13217.4553351022*x1)*x1 + log(0.132136098934832
       + 13213.6098934832*x2)*x2 + log(0.132136098934832 + 13213.6098934832*x3)
      *x3 + log(0.132174553351022 + 13217.4553351022*x4)*x4 + log(
      0.132136098934832 + 13213.6098934832*x5)*x5 + log(0.132136098934832 + 
      13213.6098934832*x6)*x6 + log(0.132136098934832 + 13213.6098934832*x7)*x7
       + log(0.132174553351022 + 13217.4553351022*x8)*x8 + log(
      0.132174553351022 + 13217.4553351022*x9)*x9 + log(0.132136098934832 + 
      13213.6098934832*x10)*x10 + log(0.132174553351022 + 13217.4553351022*x11)
      *x11 + log(0.132174553351022 + 13217.4553351022*x12)*x12 + log(
      0.132174553351022 + 13217.4553351022*x13)*x13 + log(0.132136098934832 + 
      13213.6098934832*x14)*x14 + log(0.132174553351022 + 13217.4553351022*x15)
      *x15 + log(0.132174553351022 + 13217.4553351022*x16)*x16 + log(
      0.132136098934832 + 13213.6098934832*x17)*x17 + log(0.132174553351022 + 
      13217.4553351022*x18)*x18 + log(0.132174553351022 + 13217.4553351022*x19)
      *x19 + log(0.132174553351022 + 13217.4553351022*x20)*x20 + log(
      0.165505078889141 + 16550.5078889141*x21)*x21 + log(0.165505078889141 + 
      16550.5078889141*x22)*x22 + log(0.165565412293364 + 16556.5412293364*x23)
      *x23 + log(0.165505078889141 + 16550.5078889141*x24)*x24 + log(
      0.165505078889141 + 16550.5078889141*x25)*x25 + log(0.165505078889141 + 
      16550.5078889141*x26)*x26 + log(0.165505078889141 + 16550.5078889141*x27)
      *x27 + log(0.165505078889141 + 16550.5078889141*x28)*x28 + log(
      0.132136098934832 + 13213.6098934832*x29)*x29 + log(0.132174553351022 + 
      13217.4553351022*x30)*x30 + log(0.132174553351022 + 13217.4553351022*x31)
      *x31 + log(0.132174553351022 + 13217.4553351022*x32)*x32 + log(
      0.132174553351022 + 13217.4553351022*x33)*x33 + log(0.132136098934832 + 
      13213.6098934832*x34)*x34 + log(0.132136098934832 + 13213.6098934832*x35)
      *x35 + log(0.132174553351022 + 13217.4553351022*x36)*x36 + log(
      0.132174553351022 + 13217.4553351022*x37)*x37 + log(0.132136098934832 + 
      13213.6098934832*x38)*x38 + log(0.132136098934832 + 13213.6098934832*x39)
      *x39 + log(0.132136098934832 + 13213.6098934832*x40)*x40 + log(
      0.132136098934832 + 13213.6098934832*x41)*x41 + log(0.132136098934832 + 
      13213.6098934832*x42)*x42 + log(0.132136098934832 + 13213.6098934832*x43)
      *x43 + log(0.132136098934832 + 13213.6098934832*x44)*x44 + log(
      0.132136098934832 + 13213.6098934832*x45)*x45 + log(0.132174553351022 + 
      13217.4553351022*x46)*x46 + log(0.132136098934832 + 13213.6098934832*x47)
      *x47 + log(0.132136098934832 + 13213.6098934832*x48)*x48 + log(
      0.132174553351022 + 13217.4553351022*x49)*x49 + log(0.132136098934832 + 
      13213.6098934832*x50)*x50 + log(0.132136098934832 + 13213.6098934832*x51)
      *x51 + log(0.132136098934832 + 13213.6098934832*x52)*x52 + log(
      0.132174553351022 + 13217.4553351022*x53)*x53 + log(0.132136098934832 + 
      13213.6098934832*x54)*x54 + log(0.132174553351022 + 13217.4553351022*x55)
      *x55 + log(0.132136098934832 + 13213.6098934832*x56)*x56 + log(
      0.165505078889141 + 16550.5078889141*x57)*x57 + log(0.165505078889141 + 
      16550.5078889141*x58)*x58 + log(0.165565412293364 + 16556.5412293364*x59)
      *x59 + log(0.165505078889141 + 16550.5078889141*x60)*x60 + log(
      0.132174553351022 + 13217.4553351022*x61)*x61 + log(0.132136098934832 + 
      13213.6098934832*x62)*x62 + log(0.132136098934832 + 13213.6098934832*x63)
      *x63 + log(0.132174553351022 + 13217.4553351022*x64)*x64 + log(
      0.132174553351022 + 13217.4553351022*x65)*x65 + log(0.132174553351022 + 
      13217.4553351022*x66)*x66 + log(0.132174553351022 + 13217.4553351022*x67)
      *x67 + log(0.132136098934832 + 13213.6098934832*x68)*x68 + log(
      0.132136098934832 + 13213.6098934832*x69)*x69 + log(0.132136098934832 + 
      13213.6098934832*x70)*x70 + log(0.132136098934832 + 13213.6098934832*x71)
      *x71 + log(0.132136098934832 + 13213.6098934832*x72)*x72 + log(
      0.132136098934832 + 13213.6098934832*x73)*x73 + log(0.132174553351022 + 
      13217.4553351022*x74)*x74 + log(0.132174553351022 + 13217.4553351022*x75)
      *x75 + log(0.132136098934832 + 13213.6098934832*x76)*x76 + log(
      0.132136098934832 + 13213.6098934832*x77)*x77 + log(0.132136098934832 + 
      13213.6098934832*x78)*x78 + log(0.132174553351022 + 13217.4553351022*x79)
      *x79 + log(0.132174553351022 + 13217.4553351022*x80)*x80 + log(
      0.165505078889141 + 16550.5078889141*x81)*x81 + log(0.165565412293364 + 
      16556.5412293364*x82)*x82 + log(0.165505078889141 + 16550.5078889141*x83)
      *x83 + log(0.165505078889141 + 16550.5078889141*x84)*x84 + log(
      0.132174553351022 + 13217.4553351022*x85)*x85 + log(0.132174553351022 + 
      13217.4553351022*x86)*x86 + log(0.132136098934832 + 13213.6098934832*x87)
      *x87 + log(0.132174553351022 + 13217.4553351022*x88)*x88 + log(
      0.132136098934832 + 13213.6098934832*x89)*x89 + log(0.132174553351022 + 
      13217.4553351022*x90)*x90 + log(0.132136098934832 + 13213.6098934832*x91)
      *x91 + log(0.132174553351022 + 13217.4553351022*x92)*x92 + log(
      0.132136098934832 + 13213.6098934832*x93)*x93 + log(0.132174553351022 + 
      13217.4553351022*x94)*x94 + log(0.132136098934832 + 13213.6098934832*x95)
      *x95 + log(0.132174553351022 + 13217.4553351022*x96)*x96 + log(
      0.132136098934832 + 13213.6098934832*x97)*x97 + log(0.132174553351022 + 
      13217.4553351022*x98)*x98 + log(0.132136098934832 + 13213.6098934832*x99)
      *x99 + log(0.132174553351022 + 13217.4553351022*x100)*x100 + log(
      0.165505078889141 + 16550.5078889141*x101)*x101 + log(0.165565412293364
       + 16556.5412293364*x102)*x102 + log(0.165505078889141 + 16550.5078889141
      *x103)*x103 + log(0.165505078889141 + 16550.5078889141*x104)*x104 + log(
      0.132174553351022 + 13217.4553351022*x105)*x105 + log(0.132136098934832
       + 13213.6098934832*x106)*x106 + log(0.132174553351022 + 13217.4553351022
      *x107)*x107 + log(0.132136098934832 + 13213.6098934832*x108)*x108 + log(
      0.165505078889141 + 16550.5078889141*x109)*x109 + log(0.165505078889141
       + 16550.5078889141*x110)*x110 + log(0.165565412293364 + 16556.5412293364
      *x111)*x111 + log(0.165505078889141 + 16550.5078889141*x112)*x112 + log(
      0.132174553351022 + 13217.4553351022*x113)*x113 + log(0.132136098934832
       + 13213.6098934832*x114)*x114 + log(0.132174553351022 + 13217.4553351022
      *x115)*x115 + log(0.132136098934832 + 13213.6098934832*x116)*x116 + log(
      0.132174553351022 + 13217.4553351022*x117)*x117 + log(0.132136098934832
       + 13213.6098934832*x118)*x118 + log(0.132174553351022 + 13217.4553351022
      *x119)*x119 + log(0.132136098934832 + 13213.6098934832*x120)*x120 + log(
      0.132174553351022 + 13217.4553351022*x121)*x121 + log(0.132136098934832
       + 13213.6098934832*x122)*x122 + log(0.132174553351022 + 13217.4553351022
      *x123)*x123 + log(0.132136098934832 + 13213.6098934832*x124)*x124 + log(
      0.132174553351022 + 13217.4553351022*x125)*x125 + log(0.132136098934832
       + 13213.6098934832*x126)*x126 + log(0.132174553351022 + 13217.4553351022
      *x127)*x127 + log(0.132136098934832 + 13213.6098934832*x128)*x128 + log(
      0.165505078889141 + 16550.5078889141*x129)*x129 + log(0.165505078889141
       + 16550.5078889141*x130)*x130 + log(0.165565412293364 + 16556.5412293364
      *x131)*x131 + log(0.165505078889141 + 16550.5078889141*x132)*x132 + log(
      0.132136098934832 + 13213.6098934832*x133)*x133 + log(0.132174553351022
       + 13217.4553351022*x134)*x134 + log(0.132136098934832 + 13213.6098934832
      *x135)*x135 + log(0.132174553351022 + 13217.4553351022*x136)*x136 + log(
      0.132136098934832 + 13213.6098934832*x137)*x137 + log(0.132174553351022
       + 13217.4553351022*x138)*x138 + log(0.132136098934832 + 13213.6098934832
      *x139)*x139 + log(0.132174553351022 + 13217.4553351022*x140)*x140 + log(
      0.132136098934832 + 13213.6098934832*x141)*x141 + log(0.132174553351022
       + 13217.4553351022*x142)*x142 + log(0.132136098934832 + 13213.6098934832
      *x143)*x143 + log(0.132174553351022 + 13217.4553351022*x144)*x144 + log(
      0.132136098934832 + 13213.6098934832*x145)*x145 + log(0.132174553351022
       + 13217.4553351022*x146)*x146 + log(0.132136098934832 + 13213.6098934832
      *x147)*x147 + log(0.132174553351022 + 13217.4553351022*x148)*x148 + log(
      0.132136098934832 + 13213.6098934832*x149)*x149 + log(0.132174553351022
       + 13217.4553351022*x150)*x150 + log(0.132136098934832 + 13213.6098934832
      *x151)*x151 + log(0.132174553351022 + 13217.4553351022*x152)*x152 + log(
      0.165505078889141 + 16550.5078889141*x153)*x153 + log(0.165505078889141
       + 16550.5078889141*x154)*x154 + log(0.165505078889141 + 16550.5078889141
      *x155)*x155 + log(0.165565412293364 + 16556.5412293364*x156)*x156 + log(
      0.132136098934832 + 13213.6098934832*x157)*x157 + log(0.132136098934832
       + 13213.6098934832*x158)*x158 + log(0.132174553351022 + 13217.4553351022
      *x159)*x159 + log(0.132136098934832 + 13213.6098934832*x160)*x160 + log(
      0.132174553351022 + 13217.4553351022*x161)*x161 + log(0.132136098934832
       + 13213.6098934832*x162)*x162 + log(0.132174553351022 + 13217.4553351022
      *x163)*x163 + log(0.132136098934832 + 13213.6098934832*x164)*x164 + log(
      0.132174553351022 + 13217.4553351022*x165)*x165 + log(0.132136098934832
       + 13213.6098934832*x166)*x166 + log(0.132174553351022 + 13217.4553351022
      *x167)*x167 + log(0.132136098934832 + 13213.6098934832*x168)*x168 + log(
      0.165505078889141 + 16550.5078889141*x169)*x169 + log(0.165505078889141
       + 16550.5078889141*x170)*x170 + log(0.165505078889141 + 16550.5078889141
      *x171)*x171 + log(0.165565412293364 + 16556.5412293364*x172)*x172 + log(
      0.132174553351022 + 13217.4553351022*x173)*x173 + log(0.132136098934832
       + 13213.6098934832*x174)*x174 + log(0.132174553351022 + 13217.4553351022
      *x175)*x175 + log(0.132136098934832 + 13213.6098934832*x176)*x176 + log(
      0.132174553351022 + 13217.4553351022*x177)*x177 + log(0.132136098934832
       + 13213.6098934832*x178)*x178 + log(0.132174553351022 + 13217.4553351022
      *x179)*x179 + log(0.132136098934832 + 13213.6098934832*x180)*x180 + log(
      0.132174553351022 + 13217.4553351022*x181)*x181 + log(0.132136098934832
       + 13213.6098934832*x182)*x182 + log(0.132174553351022 + 13217.4553351022
      *x183)*x183 + log(0.132136098934832 + 13213.6098934832*x184)*x184 + log(
      0.132136098934832 + 13213.6098934832*x185)*x185 + log(0.132174553351022
       + 13217.4553351022*x186)*x186 + log(0.132136098934832 + 13213.6098934832
      *x187)*x187 + log(0.132174553351022 + 13217.4553351022*x188)*x188 + log(
      0.132136098934832 + 13213.6098934832*x189)*x189 + log(0.132174553351022
       + 13217.4553351022*x190)*x190 + log(0.132136098934832 + 13213.6098934832
      *x191)*x191 + log(0.132174553351022 + 13217.4553351022*x192)*x192 + log(
      0.132136098934832 + 13213.6098934832*x193)*x193 + log(0.132174553351022
       + 13217.4553351022*x194)*x194 + log(0.132136098934832 + 13213.6098934832
      *x195)*x195 + log(0.132174553351022 + 13217.4553351022*x196)*x196 + log(
      0.165505078889141 + 16550.5078889141*x197)*x197 + log(0.165505078889141
       + 16550.5078889141*x198)*x198 + log(0.165505078889141 + 16550.5078889141
      *x199)*x199 + log(0.165505078889141 + 16550.5078889141*x200)*x200 + log(
      0.132136098934832 + 13213.6098934832*x201)*x201 + log(0.132174553351022
       + 13217.4553351022*x202)*x202 + log(0.132136098934832 + 13213.6098934832
      *x203)*x203 + log(0.132174553351022 + 13217.4553351022*x204)*x204 + log(
      0.132136098934832 + 13213.6098934832*x205)*x205 + log(0.132174553351022
       + 13217.4553351022*x206)*x206 + log(0.132136098934832 + 13213.6098934832
      *x207)*x207 + log(0.132174553351022 + 13217.4553351022*x208)*x208 + log(
      0.132136098934832 + 13213.6098934832*x209)*x209 + log(0.132174553351022
       + 13217.4553351022*x210)*x210 + log(0.132136098934832 + 13213.6098934832
      *x211)*x211 + log(0.132136098934832 + 13213.6098934832*x212)*x212 + log(
      0.132174553351022 + 13217.4553351022*x213)*x213 + log(0.132136098934832
       + 13213.6098934832*x214)*x214 + log(0.132174553351022 + 13217.4553351022
      *x215)*x215 + log(0.132136098934832 + 13213.6098934832*x216)*x216 + log(
      0.132174553351022 + 13217.4553351022*x217)*x217 + log(0.132136098934832
       + 13213.6098934832*x218)*x218 + log(0.132174553351022 + 13217.4553351022
      *x219)*x219 + log(0.132136098934832 + 13213.6098934832*x220)*x220 + log(
      0.132174553351022 + 13217.4553351022*x221)*x221 + log(0.132136098934832
       + 13213.6098934832*x222)*x222 + log(0.132174553351022 + 13217.4553351022
      *x223)*x223 + log(0.132136098934832 + 13213.6098934832*x224)*x224 + log(
      0.132174553351022 + 13217.4553351022*x225)*x225 + log(0.132136098934832
       + 13213.6098934832*x226)*x226 + log(0.132174553351022 + 13217.4553351022
      *x227)*x227 + log(0.132136098934832 + 13213.6098934832*x228)*x228 + log(
      0.132174553351022 + 13217.4553351022*x229)*x229 + log(0.132136098934832
       + 13213.6098934832*x230)*x230 + log(0.132174553351022 + 13217.4553351022
      *x231)*x231 + log(0.132136098934832 + 13213.6098934832*x232)*x232 + log(
      0.132174553351022 + 13217.4553351022*x233)*x233 + log(0.132136098934832
       + 13213.6098934832*x234)*x234 + log(0.132174553351022 + 13217.4553351022
      *x235)*x235 + log(0.132136098934832 + 13213.6098934832*x236)*x236 + log(
      0.132174553351022 + 13217.4553351022*x237)*x237 + log(0.132136098934832
       + 13213.6098934832*x238)*x238 + log(0.132136098934832 + 13213.6098934832
      *x239)*x239 + log(0.132174553351022 + 13217.4553351022*x240)*x240 + log(
      0.165565412293364 + 16556.5412293364*x241)*x241 + log(0.165505078889141
       + 16550.5078889141*x242)*x242 + log(0.165505078889141 + 16550.5078889141
      *x243)*x243 + log(0.165505078889141 + 16550.5078889141*x244)*x244 + log(
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