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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance waternd_fosspoly1

Formats ams gms osil py
Primal Bounds (infeas ≤ 1e-08)
322922.23820000 p4 ( gdx sol )
(infeas: 3e-11)
Other points (infeas > 1e-08)
29032.33330000 p1 ( gdx sol )
(infeas: 5e-07)
28864.44610000 p2 ( gdx sol )
(infeas: 6e-07)
28660.72450000 p3 ( gdx sol )
(infeas: 6e-07)
28133.49550000 p5 ( gdx sol )
(infeas: 7e-07)
27978.54160000 p6 ( gdx sol )
(infeas: 7e-07)
Dual Bounds
25622.36892000 (COUENNE)
25578.52896000 (LINDO)
26582.03556000 (SCIP)
References D'Ambrosio, Claudia, Bragalli, Cristiana, Lee, Jon, Lodi, Andrea, and Toth, Paolo, Optimal Design of Water Distribution Networks, 2011.
Bragalli, Cristiana, D'Ambrosio, Claudia, Lee, Jon, Lodi, Andrea, and Toth, Paolo, On the optimal design of water distribution networks: a practical MINLP approach, Optimization and Engineering, 13, 2012, 219-246.
Source water.gms from minlp.org model 134
Application Water Network Design
Added to library 25 Sep 2013
Problem type MBNLP
#Variables 1429
#Binary Variables 1276
#Integer Variables 0
#Nonlinear Variables 153
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 1276
#Nonlinear Nonzeros in Objective 0
#Constraints 326
#Linear Constraints 268
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 58
Operands in Gen. Nonlin. Functions mul signpower vcpower
Constraints curvature indefinite
#Nonzeros in Jacobian 3189
#Nonlinear Nonzeros in Jacobian 232
#Nonzeros in (Upper-Left) Hessian of Lagrangian 348
#Nonzeros in Diagonal of Hessian of Lagrangian 116
#Blocks in Hessian of Lagrangian 59
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 95
Average blocksize in Hessian of Lagrangian 2.59322
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 2.0106e-04
Maximal coefficient 7.4078e+04
Infeasibility of initial point 1
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
*        327      211       58       58        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*       1430      154     1276        0        0        0        0        0
*  FX      1
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       4466     4234      232        0
*
*  Solve m using MINLP 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,b154,b155
          ,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167,b168
          ,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180,b181
          ,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193,b194
          ,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206,b207
          ,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219,b220
          ,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232,b233
          ,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245,b246
          ,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258,b259
          ,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271,b272
          ,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284,b285
          ,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297,b298
          ,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310,b311
          ,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323,b324
          ,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336,b337
          ,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349,b350
          ,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362,b363
          ,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375,b376
          ,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388,b389
          ,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401,b402
          ,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414,b415
          ,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427,b428
          ,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440,b441
          ,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453,b454
          ,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466,b467
          ,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479,b480
          ,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492,b493
          ,b494,b495,b496,b497,b498,b499,b500,b501,b502,b503,b504,b505,b506
          ,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517,b518,b519
          ,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529,b530,b531,b532
          ,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543,b544,b545
          ,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557,b558
          ,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569,b570,b571
          ,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581,b582,b583,b584
          ,b585,b586,b587,b588,b589,b590,b591,b592,b593,b594,b595,b596,b597
          ,b598,b599,b600,b601,b602,b603,b604,b605,b606,b607,b608,b609,b610
          ,b611,b612,b613,b614,b615,b616,b617,b618,b619,b620,b621,b622,b623
          ,b624,b625,b626,b627,b628,b629,b630,b631,b632,b633,b634,b635,b636
          ,b637,b638,b639,b640,b641,b642,b643,b644,b645,b646,b647,b648,b649
          ,b650,b651,b652,b653,b654,b655,b656,b657,b658,b659,b660,b661,b662
          ,b663,b664,b665,b666,b667,b668,b669,b670,b671,b672,b673,b674,b675
          ,b676,b677,b678,b679,b680,b681,b682,b683,b684,b685,b686,b687,b688
          ,b689,b690,b691,b692,b693,b694,b695,b696,b697,b698,b699,b700,b701
          ,b702,b703,b704,b705,b706,b707,b708,b709,b710,b711,b712,b713,b714
          ,b715,b716,b717,b718,b719,b720,b721,b722,b723,b724,b725,b726,b727
          ,b728,b729,b730,b731,b732,b733,b734,b735,b736,b737,b738,b739,b740
          ,b741,b742,b743,b744,b745,b746,b747,b748,b749,b750,b751,b752,b753
          ,b754,b755,b756,b757,b758,b759,b760,b761,b762,b763,b764,b765,b766
          ,b767,b768,b769,b770,b771,b772,b773,b774,b775,b776,b777,b778,b779
          ,b780,b781,b782,b783,b784,b785,b786,b787,b788,b789,b790,b791,b792
          ,b793,b794,b795,b796,b797,b798,b799,b800,b801,b802,b803,b804,b805
          ,b806,b807,b808,b809,b810,b811,b812,b813,b814,b815,b816,b817,b818
          ,b819,b820,b821,b822,b823,b824,b825,b826,b827,b828,b829,b830,b831
          ,b832,b833,b834,b835,b836,b837,b838,b839,b840,b841,b842,b843,b844
          ,b845,b846,b847,b848,b849,b850,b851,b852,b853,b854,b855,b856,b857
          ,b858,b859,b860,b861,b862,b863,b864,b865,b866,b867,b868,b869,b870
          ,b871,b872,b873,b874,b875,b876,b877,b878,b879,b880,b881,b882,b883
          ,b884,b885,b886,b887,b888,b889,b890,b891,b892,b893,b894,b895,b896
          ,b897,b898,b899,b900,b901,b902,b903,b904,b905,b906,b907,b908,b909
          ,b910,b911,b912,b913,b914,b915,b916,b917,b918,b919,b920,b921,b922
          ,b923,b924,b925,b926,b927,b928,b929,b930,b931,b932,b933,b934,b935
          ,b936,b937,b938,b939,b940,b941,b942,b943,b944,b945,b946,b947,b948
          ,b949,b950,b951,b952,b953,b954,b955,b956,b957,b958,b959,b960,b961
          ,b962,b963,b964,b965,b966,b967,b968,b969,b970,b971,b972,b973,b974
          ,b975,b976,b977,b978,b979,b980,b981,b982,b983,b984,b985,b986,b987
          ,b988,b989,b990,b991,b992,b993,b994,b995,b996,b997,b998,b999,b1000
          ,b1001,b1002,b1003,b1004,b1005,b1006,b1007,b1008,b1009,b1010,b1011
          ,b1012,b1013,b1014,b1015,b1016,b1017,b1018,b1019,b1020,b1021,b1022
          ,b1023,b1024,b1025,b1026,b1027,b1028,b1029,b1030,b1031,b1032,b1033
          ,b1034,b1035,b1036,b1037,b1038,b1039,b1040,b1041,b1042,b1043,b1044
          ,b1045,b1046,b1047,b1048,b1049,b1050,b1051,b1052,b1053,b1054,b1055
          ,b1056,b1057,b1058,b1059,b1060,b1061,b1062,b1063,b1064,b1065,b1066
          ,b1067,b1068,b1069,b1070,b1071,b1072,b1073,b1074,b1075,b1076,b1077
          ,b1078,b1079,b1080,b1081,b1082,b1083,b1084,b1085,b1086,b1087,b1088
          ,b1089,b1090,b1091,b1092,b1093,b1094,b1095,b1096,b1097,b1098,b1099
          ,b1100,b1101,b1102,b1103,b1104,b1105,b1106,b1107,b1108,b1109,b1110
          ,b1111,b1112,b1113,b1114,b1115,b1116,b1117,b1118,b1119,b1120,b1121
          ,b1122,b1123,b1124,b1125,b1126,b1127,b1128,b1129,b1130,b1131,b1132
          ,b1133,b1134,b1135,b1136,b1137,b1138,b1139,b1140,b1141,b1142,b1143
          ,b1144,b1145,b1146,b1147,b1148,b1149,b1150,b1151,b1152,b1153,b1154
          ,b1155,b1156,b1157,b1158,b1159,b1160,b1161,b1162,b1163,b1164,b1165
          ,b1166,b1167,b1168,b1169,b1170,b1171,b1172,b1173,b1174,b1175,b1176
          ,b1177,b1178,b1179,b1180,b1181,b1182,b1183,b1184,b1185,b1186,b1187
          ,b1188,b1189,b1190,b1191,b1192,b1193,b1194,b1195,b1196,b1197,b1198
          ,b1199,b1200,b1201,b1202,b1203,b1204,b1205,b1206,b1207,b1208,b1209
          ,b1210,b1211,b1212,b1213,b1214,b1215,b1216,b1217,b1218,b1219,b1220
          ,b1221,b1222,b1223,b1224,b1225,b1226,b1227,b1228,b1229,b1230,b1231
          ,b1232,b1233,b1234,b1235,b1236,b1237,b1238,b1239,b1240,b1241,b1242
          ,b1243,b1244,b1245,b1246,b1247,b1248,b1249,b1250,b1251,b1252,b1253
          ,b1254,b1255,b1256,b1257,b1258,b1259,b1260,b1261,b1262,b1263,b1264
          ,b1265,b1266,b1267,b1268,b1269,b1270,b1271,b1272,b1273,b1274,b1275
          ,b1276,b1277,b1278,b1279,b1280,b1281,b1282,b1283,b1284,b1285,b1286
          ,b1287,b1288,b1289,b1290,b1291,b1292,b1293,b1294,b1295,b1296,b1297
          ,b1298,b1299,b1300,b1301,b1302,b1303,b1304,b1305,b1306,b1307,b1308
          ,b1309,b1310,b1311,b1312,b1313,b1314,b1315,b1316,b1317,b1318,b1319
          ,b1320,b1321,b1322,b1323,b1324,b1325,b1326,b1327,b1328,b1329,b1330
          ,b1331,b1332,b1333,b1334,b1335,b1336,b1337,b1338,b1339,b1340,b1341
          ,b1342,b1343,b1344,b1345,b1346,b1347,b1348,b1349,b1350,b1351,b1352
          ,b1353,b1354,b1355,b1356,b1357,b1358,b1359,b1360,b1361,b1362,b1363
          ,b1364,b1365,b1366,b1367,b1368,b1369,b1370,b1371,b1372,b1373,b1374
          ,b1375,b1376,b1377,b1378,b1379,b1380,b1381,b1382,b1383,b1384,b1385
          ,b1386,b1387,b1388,b1389,b1390,b1391,b1392,b1393,b1394,b1395,b1396
          ,b1397,b1398,b1399,b1400,b1401,b1402,b1403,b1404,b1405,b1406,b1407
          ,b1408,b1409,b1410,b1411,b1412,b1413,b1414,b1415,b1416,b1417,b1418
          ,b1419,b1420,b1421,b1422,b1423,b1424,b1425,b1426,b1427,b1428,b1429
          ,objvar;

Binary Variables  b154,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165
          ,b166,b167,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178
          ,b179,b180,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191
          ,b192,b193,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204
          ,b205,b206,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217
          ,b218,b219,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230
          ,b231,b232,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243
          ,b244,b245,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256
          ,b257,b258,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269
          ,b270,b271,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282
          ,b283,b284,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295
          ,b296,b297,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308
          ,b309,b310,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321
          ,b322,b323,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334
          ,b335,b336,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347
          ,b348,b349,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360
          ,b361,b362,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373
          ,b374,b375,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386
          ,b387,b388,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399
          ,b400,b401,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412
          ,b413,b414,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425
          ,b426,b427,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438
          ,b439,b440,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451
          ,b452,b453,b454,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464
          ,b465,b466,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477
          ,b478,b479,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490
          ,b491,b492,b493,b494,b495,b496,b497,b498,b499,b500,b501,b502,b503
          ,b504,b505,b506,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516
          ,b517,b518,b519,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529
          ,b530,b531,b532,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542
          ,b543,b544,b545,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555
          ,b556,b557,b558,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568
          ,b569,b570,b571,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581
          ,b582,b583,b584,b585,b586,b587,b588,b589,b590,b591,b592,b593,b594
          ,b595,b596,b597,b598,b599,b600,b601,b602,b603,b604,b605,b606,b607
          ,b608,b609,b610,b611,b612,b613,b614,b615,b616,b617,b618,b619,b620
          ,b621,b622,b623,b624,b625,b626,b627,b628,b629,b630,b631,b632,b633
          ,b634,b635,b636,b637,b638,b639,b640,b641,b642,b643,b644,b645,b646
          ,b647,b648,b649,b650,b651,b652,b653,b654,b655,b656,b657,b658,b659
          ,b660,b661,b662,b663,b664,b665,b666,b667,b668,b669,b670,b671,b672
          ,b673,b674,b675,b676,b677,b678,b679,b680,b681,b682,b683,b684,b685
          ,b686,b687,b688,b689,b690,b691,b692,b693,b694,b695,b696,b697,b698
          ,b699,b700,b701,b702,b703,b704,b705,b706,b707,b708,b709,b710,b711
          ,b712,b713,b714,b715,b716,b717,b718,b719,b720,b721,b722,b723,b724
          ,b725,b726,b727,b728,b729,b730,b731,b732,b733,b734,b735,b736,b737
          ,b738,b739,b740,b741,b742,b743,b744,b745,b746,b747,b748,b749,b750
          ,b751,b752,b753,b754,b755,b756,b757,b758,b759,b760,b761,b762,b763
          ,b764,b765,b766,b767,b768,b769,b770,b771,b772,b773,b774,b775,b776
          ,b777,b778,b779,b780,b781,b782,b783,b784,b785,b786,b787,b788,b789
          ,b790,b791,b792,b793,b794,b795,b796,b797,b798,b799,b800,b801,b802
          ,b803,b804,b805,b806,b807,b808,b809,b810,b811,b812,b813,b814,b815
          ,b816,b817,b818,b819,b820,b821,b822,b823,b824,b825,b826,b827,b828
          ,b829,b830,b831,b832,b833,b834,b835,b836,b837,b838,b839,b840,b841
          ,b842,b843,b844,b845,b846,b847,b848,b849,b850,b851,b852,b853,b854
          ,b855,b856,b857,b858,b859,b860,b861,b862,b863,b864,b865,b866,b867
          ,b868,b869,b870,b871,b872,b873,b874,b875,b876,b877,b878,b879,b880
          ,b881,b882,b883,b884,b885,b886,b887,b888,b889,b890,b891,b892,b893
          ,b894,b895,b896,b897,b898,b899,b900,b901,b902,b903,b904,b905,b906
          ,b907,b908,b909,b910,b911,b912,b913,b914,b915,b916,b917,b918,b919
          ,b920,b921,b922,b923,b924,b925,b926,b927,b928,b929,b930,b931,b932
          ,b933,b934,b935,b936,b937,b938,b939,b940,b941,b942,b943,b944,b945
          ,b946,b947,b948,b949,b950,b951,b952,b953,b954,b955,b956,b957,b958
          ,b959,b960,b961,b962,b963,b964,b965,b966,b967,b968,b969,b970,b971
          ,b972,b973,b974,b975,b976,b977,b978,b979,b980,b981,b982,b983,b984
          ,b985,b986,b987,b988,b989,b990,b991,b992,b993,b994,b995,b996,b997
          ,b998,b999,b1000,b1001,b1002,b1003,b1004,b1005,b1006,b1007,b1008
          ,b1009,b1010,b1011,b1012,b1013,b1014,b1015,b1016,b1017,b1018,b1019
          ,b1020,b1021,b1022,b1023,b1024,b1025,b1026,b1027,b1028,b1029,b1030
          ,b1031,b1032,b1033,b1034,b1035,b1036,b1037,b1038,b1039,b1040,b1041
          ,b1042,b1043,b1044,b1045,b1046,b1047,b1048,b1049,b1050,b1051,b1052
          ,b1053,b1054,b1055,b1056,b1057,b1058,b1059,b1060,b1061,b1062,b1063
          ,b1064,b1065,b1066,b1067,b1068,b1069,b1070,b1071,b1072,b1073,b1074
          ,b1075,b1076,b1077,b1078,b1079,b1080,b1081,b1082,b1083,b1084,b1085
          ,b1086,b1087,b1088,b1089,b1090,b1091,b1092,b1093,b1094,b1095,b1096
          ,b1097,b1098,b1099,b1100,b1101,b1102,b1103,b1104,b1105,b1106,b1107
          ,b1108,b1109,b1110,b1111,b1112,b1113,b1114,b1115,b1116,b1117,b1118
          ,b1119,b1120,b1121,b1122,b1123,b1124,b1125,b1126,b1127,b1128,b1129
          ,b1130,b1131,b1132,b1133,b1134,b1135,b1136,b1137,b1138,b1139,b1140
          ,b1141,b1142,b1143,b1144,b1145,b1146,b1147,b1148,b1149,b1150,b1151
          ,b1152,b1153,b1154,b1155,b1156,b1157,b1158,b1159,b1160,b1161,b1162
          ,b1163,b1164,b1165,b1166,b1167,b1168,b1169,b1170,b1171,b1172,b1173
          ,b1174,b1175,b1176,b1177,b1178,b1179,b1180,b1181,b1182,b1183,b1184
          ,b1185,b1186,b1187,b1188,b1189,b1190,b1191,b1192,b1193,b1194,b1195
          ,b1196,b1197,b1198,b1199,b1200,b1201,b1202,b1203,b1204,b1205,b1206
          ,b1207,b1208,b1209,b1210,b1211,b1212,b1213,b1214,b1215,b1216,b1217
          ,b1218,b1219,b1220,b1221,b1222,b1223,b1224,b1225,b1226,b1227,b1228
          ,b1229,b1230,b1231,b1232,b1233,b1234,b1235,b1236,b1237,b1238,b1239
          ,b1240,b1241,b1242,b1243,b1244,b1245,b1246,b1247,b1248,b1249,b1250
          ,b1251,b1252,b1253,b1254,b1255,b1256,b1257,b1258,b1259,b1260,b1261
          ,b1262,b1263,b1264,b1265,b1266,b1267,b1268,b1269,b1270,b1271,b1272
          ,b1273,b1274,b1275,b1276,b1277,b1278,b1279,b1280,b1281,b1282,b1283
          ,b1284,b1285,b1286,b1287,b1288,b1289,b1290,b1291,b1292,b1293,b1294
          ,b1295,b1296,b1297,b1298,b1299,b1300,b1301,b1302,b1303,b1304,b1305
          ,b1306,b1307,b1308,b1309,b1310,b1311,b1312,b1313,b1314,b1315,b1316
          ,b1317,b1318,b1319,b1320,b1321,b1322,b1323,b1324,b1325,b1326,b1327
          ,b1328,b1329,b1330,b1331,b1332,b1333,b1334,b1335,b1336,b1337,b1338
          ,b1339,b1340,b1341,b1342,b1343,b1344,b1345,b1346,b1347,b1348,b1349
          ,b1350,b1351,b1352,b1353,b1354,b1355,b1356,b1357,b1358,b1359,b1360
          ,b1361,b1362,b1363,b1364,b1365,b1366,b1367,b1368,b1369,b1370,b1371
          ,b1372,b1373,b1374,b1375,b1376,b1377,b1378,b1379,b1380,b1381,b1382
          ,b1383,b1384,b1385,b1386,b1387,b1388,b1389,b1390,b1391,b1392,b1393
          ,b1394,b1395,b1396,b1397,b1398,b1399,b1400,b1401,b1402,b1403,b1404
          ,b1405,b1406,b1407,b1408,b1409,b1410,b1411,b1412,b1413,b1414,b1415
          ,b1416,b1417,b1418,b1419,b1420,b1421,b1422,b1423,b1424,b1425,b1426
          ,b1427,b1428,b1429;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327;


e1..  - 50.4488*b154 - 74.3456*b155 - 116.8288*b156 - 179.226*b157
      - 268.1752*b158 - 426.1596*b159 - 589.4544*b160 - 856.302*b161
      - 1273.1684*b162 - 1590.4648*b163 - 1982.1068*b164 - 2603.4236*b165
      - 3289.7928*b166 - 4055.818*b167 - 5139.1396*b168 - 6323.3588*b169
      - 7925.772*b170 - 10037.9836*b171 - 13220.2408*b172 - 16791.4848*b173
      - 21280.1004*b174 - 26247.9796*b175 - 28.6558*b176 - 42.2296*b177
      - 66.3608*b178 - 101.8035*b179 - 152.3282*b180 - 242.0661*b181
      - 334.8204*b182 - 486.3945*b183 - 723.1819*b184 - 903.4118*b185
      - 1125.8713*b186 - 1478.7901*b187 - 1868.6598*b188 - 2303.7755*b189
      - 2919.1211*b190 - 3591.7783*b191 - 4501.977*b192 - 5701.7501*b193
      - 7509.3278*b194 - 9537.8568*b195 - 12087.4689*b196 - 14909.3111*b197
      - 45.5012*b198 - 67.0544*b199 - 105.3712*b200 - 161.649*b201
      - 241.8748*b202 - 384.3654*b203 - 531.6456*b204 - 772.323*b205
      - 1148.3066*b206 - 1434.4852*b207 - 1787.7182*b208 - 2348.1014*b209
      - 2967.1572*b210 - 3658.057*b211 - 4635.1354*b212 - 5703.2162*b213
      - 7148.478*b214 - 9053.5414*b215 - 11923.7092*b216 - 15144.7152*b217
      - 19193.1246*b218 - 23673.7954*b219 - 61.9286*b220 - 91.2632*b221
      - 143.4136*b222 - 220.0095*b223 - 329.1994*b224 - 523.1337*b225
      - 723.5868*b226 - 1051.1565*b227 - 1562.8823*b228 - 1952.3806*b229
      - 2433.1421*b230 - 3195.8417*b231 - 4038.3966*b232 - 4978.7335*b233
      - 6308.5687*b234 - 7762.2611*b235 - 9729.309*b236 - 12322.1617*b237
      - 16228.5526*b238 - 20612.4456*b239 - 26122.4613*b240 - 32220.7987*b241
      - 118.8336*b242 - 175.1232*b243 - 275.1936*b244 - 422.172*b245
      - 631.6944*b246 - 1003.8312*b247 - 1388.4768*b248 - 2017.044*b249
      - 2998.9848*b250 - 3746.3856*b251 - 4668.9096*b252 - 6132.4392*b253
      - 7749.2016*b254 - 9553.596*b255 - 12105.3912*b256 - 14894.8536*b257
      - 18669.384*b258 - 23644.7592*b259 - 31140.6576*b260 - 39552.8256*b261
      - 50125.8888*b262 - 61827.8712*b263 - 74.9816*b264 - 110.4992*b265
      - 173.6416*b266 - 266.382*b267 - 398.5864*b268 - 633.3972*b269
      - 876.1008*b270 - 1272.714*b271 - 1892.2988*b272 - 2363.8936*b273
      - 2945.9876*b274 - 3869.4452*b275 - 4889.5896*b276 - 6028.126*b277
      - 7638.2572*b278 - 9398.3516*b279 - 11780.004*b280 - 14919.3652*b281
      - 19649.1256*b282 - 24957.0336*b283 - 31628.4228*b284 - 39012.1372*b285
      - 109.8542*b286 - 161.8904*b287 - 254.3992*b288 - 390.2715*b289
      - 583.9618*b290 - 927.9789*b291 - 1283.5596*b292 - 1864.6305*b293
      - 2772.3731*b294 - 3463.2982*b295 - 4316.1137*b296 - 5669.0549*b297
      - 7163.6502*b298 - 8831.6995*b299 - 11190.6739*b300 - 13769.3567*b301
      - 17258.673*b302 - 21858.0949*b303 - 28787.5822*b304 - 36564.1032*b305
      - 46338.2361*b306 - 57155.9839*b307 - 127.8054*b308 - 188.3448*b309
      - 295.9704*b310 - 454.0455*b311 - 679.3866*b312 - 1079.6193*b313
      - 1493.3052*b314 - 2169.3285*b315 - 3225.4047*b316 - 4029.2334*b317
      - 5021.4069*b318 - 6595.4313*b319 - 8334.2574*b320 - 10274.8815*b321
      - 13019.3343*b322 - 16019.3979*b323 - 20078.901*b324 - 25429.9113*b325
      - 33491.7414*b326 - 42539.0184*b327 - 53910.3357*b328 - 66495.8043*b329
      - 29.4082*b330 - 43.3384*b331 - 68.1032*b332 - 104.4765*b333
      - 156.3278*b334 - 248.4219*b335 - 343.6116*b336 - 499.1655*b337
      - 742.1701*b338 - 927.1322*b339 - 1155.4327*b340 - 1517.6179*b341
      - 1917.7242*b342 - 2364.2645*b343 - 2995.7669*b344 - 3686.0857*b345
      - 4620.183*b346 - 5851.4579*b347 - 7706.4962*b348 - 9788.2872*b349
      - 12404.8431*b350 - 15300.7769*b351 - 51.6078*b352 - 76.0536*b353
      - 119.5128*b354 - 183.3435*b355 - 274.3362*b356 - 435.9501*b357
      - 602.9964*b358 - 875.9745*b359 - 1302.4179*b360 - 1627.0038*b361
      - 2027.6433*b362 - 2663.2341*b363 - 3365.3718*b364 - 4148.9955*b365
      - 5257.2051*b366 - 6468.6303*b367 - 8107.857*b368 - 10268.5941*b369
      - 13523.9598*b370 - 17177.2488*b371 - 21768.9849*b372 - 26850.9951*b373
      - 76.4788*b374 - 112.7056*b375 - 177.1088*b376 - 271.701*b377
      - 406.5452*b378 - 646.0446*b379 - 893.5944*b380 - 1298.127*b381
      - 1930.0834*b382 - 2411.0948*b383 - 3004.8118*b384 - 3946.7086*b385
      - 4987.2228*b386 - 6148.493*b387 - 7790.7746*b388 - 9586.0138*b389
      - 12015.222*b390 - 15217.2686*b391 - 20041.4708*b392 - 25455.3648*b393
      - 32259.9654*b394 - 39791.1146*b395 - 54.9708*b396 - 81.0096*b397
      - 127.3008*b398 - 195.291*b399 - 292.2132*b400 - 464.3586*b401
      - 642.2904*b402 - 933.057*b403 - 1387.2894*b404 - 1733.0268*b405
      - 2159.7738*b406 - 2836.7826*b407 - 3584.6748*b408 - 4419.363*b409
      - 5599.7886*b410 - 6890.1558*b411 - 8636.202*b412 - 10937.7426*b413
      - 14405.2428*b414 - 18296.5968*b415 - 23187.5514*b416 - 28600.7286*b417
      - 42.6246*b418 - 62.8152*b419 - 98.7096*b420 - 151.4295*b421
      - 226.5834*b422 - 360.0657*b423 - 498.0348*b424 - 723.4965*b425
      - 1075.7103*b426 - 1343.7966*b427 - 1674.6981*b428 - 2199.6537*b429
      - 2779.5726*b430 - 3426.7935*b431 - 4342.1007*b432 - 5342.6571*b433
      - 6696.549*b434 - 8481.1737*b435 - 11169.8886*b436 - 14187.2616*b437
      - 17979.7293*b438 - 22177.1307*b439 - 55.8448*b440 - 82.2976*b441
      - 129.3248*b442 - 198.396*b443 - 296.8592*b444 - 471.7416*b445
      - 652.5024*b446 - 947.892*b447 - 1409.3464*b448 - 1760.5808*b449
      - 2194.1128*b450 - 2881.8856*b451 - 3641.6688*b452 - 4489.628*b453
      - 5688.8216*b454 - 6999.7048*b455 - 8773.512*b456 - 11111.6456*b457
      - 14634.2768*b458 - 18587.5008*b459 - 23556.2184*b460 - 29055.4616*b461
      - 18.9316*b462 - 27.8992*b463 - 43.8416*b464 - 67.257*b465
      - 100.6364*b466 - 159.9222*b467 - 221.2008*b468 - 321.339*b469
      - 477.7738*b470 - 596.8436*b471 - 743.8126*b472 - 976.9702*b473
      - 1234.5396*b474 - 1522.001*b475 - 1928.5322*b476 - 2372.9266*b477
      - 2974.254*b478 - 3766.8902*b479 - 4961.0756*b480 - 6301.2336*b481
      - 7985.6478*b482 - 9849.9122*b483 - 61.8222*b484 - 91.1064*b485
      - 143.1672*b486 - 219.6315*b487 - 328.6338*b488 - 522.2349*b489
      - 722.3436*b490 - 1049.3505*b491 - 1560.1971*b492 - 1949.0262*b493
      - 2428.9617*b494 - 3190.3509*b495 - 4031.4582*b496 - 4970.1795*b497
      - 6297.7299*b498 - 7748.9247*b499 - 9712.593*b500 - 12300.9909*b501
      - 16200.6702*b502 - 20577.0312*b503 - 26077.5801*b504 - 32165.4399*b505
      - 31.654*b506 - 46.648*b507 - 73.304*b508 - 112.455*b509 - 168.266*b510
      - 267.393*b511 - 369.852*b512 - 537.285*b513 - 798.847*b514
      - 997.934*b515 - 1243.669*b516 - 1633.513*b517 - 2064.174*b518
      - 2544.815*b519 - 3224.543*b520 - 3967.579*b521 - 4973.01*b522
      - 6298.313*b523 - 8295.014*b524 - 10535.784*b525 - 13352.157*b526
      - 16469.243*b527 - 20.1324*b528 - 29.6688*b529 - 46.6224*b530
      - 71.523*b531 - 107.0196*b532 - 170.0658*b533 - 235.2312*b534
      - 341.721*b535 - 508.0782*b536 - 634.7004*b537 - 790.9914*b538
      - 1038.9378*b539 - 1312.8444*b540 - 1618.539*b541 - 2050.8558*b542
      - 2523.4374*b543 - 3162.906*b544 - 4005.8178*b545 - 5275.7484*b546
      - 6700.9104*b547 - 8492.1642*b548 - 10474.6758*b549 - 77.4554*b550
      - 114.1448*b551 - 179.3704*b552 - 275.1705*b553 - 411.7366*b554
      - 654.2943*b555 - 905.0052*b556 - 1314.7035*b557 - 1954.7297*b558
      - 2441.8834*b559 - 3043.1819*b560 - 3997.1063*b561 - 5050.9074*b562
      - 6227.0065*b563 - 7890.2593*b564 - 9708.4229*b565 - 12168.651*b566
      - 15411.5863*b567 - 20297.3914*b568 - 25780.4184*b569 - 32671.9107*b570
      - 40299.2293*b571 - 42.7006*b572 - 62.9272*b573 - 98.8856*b574
      - 151.6995*b575 - 226.9874*b576 - 360.7077*b577 - 498.9228*b578
      - 724.7865*b579 - 1077.6283*b580 - 1346.1926*b581 - 1677.6841*b582
      - 2203.5757*b583 - 2784.5286*b584 - 3432.9035*b585 - 4349.8427*b586
      - 5352.1831*b587 - 6708.489*b588 - 8496.2957*b589 - 11189.8046*b590
      - 14212.5576*b591 - 18011.7873*b592 - 22216.6727*b593 - 14.1892*b594
      - 20.9104*b595 - 32.8592*b596 - 50.409*b597 - 75.4268*b598
      - 119.8614*b599 - 165.7896*b600 - 240.843*b601 - 358.0906*b602
      - 447.3332*b603 - 557.4862*b604 - 732.2374*b605 - 925.2852*b606
      - 1140.737*b607 - 1445.4314*b608 - 1778.5042*b609 - 2229.198*b610
      - 2823.2774*b611 - 3718.3172*b612 - 4722.7632*b613 - 5985.2286*b614
      - 7382.4914*b615 - 24.7722*b616 - 36.5064*b617 - 57.3672*b618
      - 88.0065*b619 - 131.6838*b620 - 209.2599*b621 - 289.4436*b622
      - 420.4755*b623 - 625.1721*b624 - 780.9762*b625 - 973.2867*b626
      - 1278.3759*b627 - 1615.4082*b628 - 1991.5545*b629 - 2523.5049*b630
      - 3104.9997*b631 - 3891.843*b632 - 4929.0159*b633 - 6491.6202*b634
      - 8245.2312*b635 - 10449.3051*b636 - 12888.7149*b637 - 69.4716*b638
      - 102.3792*b639 - 160.8816*b640 - 246.807*b641 - 369.2964*b642
      - 586.8522*b643 - 811.7208*b644 - 1179.189*b645 - 1753.2438*b646
      - 2190.1836*b647 - 2729.5026*b648 - 3585.1002*b649 - 4530.2796*b650
      - 5585.151*b651 - 7076.9622*b652 - 8707.7166*b653 - 10914.354*b654
      - 13823.0202*b655 - 18205.2156*b656 - 23123.0736*b657 - 29304.2178*b658
      - 36145.3422*b659 - 30.7116*b660 - 45.2592*b661 - 71.1216*b662
      - 109.107*b663 - 163.2564*b664 - 259.4322*b665 - 358.8408*b666
      - 521.289*b667 - 775.0638*b668 - 968.2236*b669 - 1206.6426*b670
      - 1584.8802*b671 - 2002.7196*b672 - 2469.051*b673 - 3128.5422*b674
      - 3849.4566*b675 - 4824.954*b676 - 6110.8002*b677 - 8048.0556*b678
      - 10222.1136*b679 - 12954.6378*b680 - 15978.9222*b681 - 31.2702*b682
      - 46.0824*b683 - 72.4152*b684 - 111.0915*b685 - 166.2258*b686
      - 264.1509*b687 - 365.3676*b688 - 530.7705*b689 - 789.1611*b690
      - 985.8342*b691 - 1228.5897*b692 - 1613.7069*b693 - 2039.1462*b694
      - 2513.9595*b695 - 3185.4459*b696 - 3919.4727*b697 - 4912.713*b698
      - 6221.9469*b699 - 8194.4382*b700 - 10408.0392*b701 - 13190.2641*b702
      - 16269.5559*b703 - 51.6876*b704 - 76.1712*b705 - 119.6976*b706
      - 183.627*b707 - 274.7604*b708 - 436.6242*b709 - 603.9288*b710
      - 877.329*b711 - 1304.4318*b712 - 1629.5196*b713 - 2030.7786*b714
      - 2667.3522*b715 - 3370.5756*b716 - 4155.411*b717 - 5265.3342*b718
      - 6478.6326*b719 - 8120.394*b720 - 10284.4722*b721 - 13544.8716*b722
      - 17203.8096*b723 - 21802.6458*b724 - 26892.5142*b725 - 142.3784*b726
      - 209.8208*b727 - 329.7184*b728 - 505.818*b729 - 756.8536*b730
      - 1202.7228*b731 - 1663.5792*b732 - 2416.686*b733 - 3593.1812*b734
      - 4488.6664*b735 - 5593.9724*b736 - 7347.4748*b737 - 9284.5704*b738
      - 11446.474*b739 - 14503.8628*b740 - 17846.0084*b741 - 22368.396*b742
      - 28329.5548*b743 - 37310.6344*b744 - 47389.5264*b745 - 60057.4572*b746
      - 74077.9828*b747 - 89.148*b748 - 131.376*b749 - 206.448*b750
      - 316.71*b751 - 473.892*b752 - 753.066*b753 - 1041.624*b754
      - 1513.17*b755 - 2249.814*b756 - 2810.508*b757 - 3502.578*b758
      - 4600.506*b759 - 5813.388*b760 - 7167.03*b761 - 9081.366*b762
      - 11173.998*b763 - 14005.62*b764 - 17738.106*b765 - 23361.468*b766
      - 29672.208*b767 - 37604.034*b768 - 46382.766*b769 - 31.9048*b770
      - 47.0176*b771 - 73.8848*b772 - 113.346*b773 - 169.5992*b774
      - 269.5116*b775 - 372.7824*b776 - 541.542*b777 - 805.1764*b778
      - 1005.8408*b779 - 1253.5228*b780 - 1646.4556*b781 - 2080.5288*b782
      - 2564.978*b783 - 3250.0916*b784 - 3999.0148*b785 - 5012.412*b786
      - 6348.2156*b787 - 8360.7368*b788 - 10619.2608*b789 - 13457.9484*b790
      - 16599.7316*b791 - 37.8632*b792 - 55.7984*b793 - 87.6832*b794
      - 134.514*b795 - 201.2728*b796 - 319.8444*b797 - 442.4016*b798
      - 642.678*b799 - 955.5476*b800 - 1193.6872*b801 - 1487.6252*b802
      - 1953.9404*b803 - 2469.0792*b804 - 3044.002*b805 - 3857.0644*b806
      - 4745.8532*b807 - 5948.508*b808 - 7533.7804*b809 - 9922.1512*b810
      - 12602.4672*b811 - 15971.2956*b812 - 19699.8244*b813 - 94.259*b814
      - 138.908*b815 - 218.284*b816 - 334.8675*b817 - 501.061*b818
      - 796.2405*b819 - 1101.342*b820 - 1599.9225*b821 - 2378.7995*b822
      - 2971.639*b823 - 3703.3865*b824 - 4864.2605*b825 - 6146.679*b826
      - 7577.9275*b827 - 9602.0155*b828 - 11814.6215*b829 - 14808.585*b830
      - 18755.0605*b831 - 24700.819*b832 - 31373.364*b833 - 39759.9345*b834
      - 49041.9655*b835 - 41.363*b836 - 60.956*b837 - 95.788*b838
      - 146.9475*b839 - 219.877*b840 - 349.4085*b841 - 483.294*b842
      - 702.0825*b843 - 1043.8715*b844 - 1304.023*b845 - 1625.1305*b846
      - 2134.5485*b847 - 2697.303*b848 - 3325.3675*b849 - 4213.5835*b850
      - 5184.5255*b851 - 6498.345*b852 - 8230.1485*b853 - 10839.283*b854
      - 13767.348*b855 - 17447.5665*b856 - 21520.7335*b857 - 79.8342*b858
      - 117.6504*b859 - 184.8792*b860 - 283.6215*b861 - 424.3818*b862
      - 674.3889*b863 - 932.7996*b864 - 1355.0805*b865 - 2014.7631*b866
      - 2516.8782*b867 - 3136.6437*b868 - 4119.8649*b869 - 5206.0302*b870
      - 6418.2495*b871 - 8132.5839*b872 - 10006.5867*b873 - 12542.373*b874
      - 15884.9049*b875 - 20920.7622*b876 - 26572.1832*b877 - 33675.3261*b878
      - 41536.8939*b879 - 56.0766*b880 - 82.6392*b881 - 129.8616*b882
      - 199.2195*b883 - 298.0914*b884 - 473.6997*b885 - 655.2108*b886
      - 951.8265*b887 - 1415.1963*b888 - 1767.8886*b889 - 2203.2201*b890
      - 2893.8477*b891 - 3656.7846*b892 - 4508.2635*b893 - 5712.4347*b894
      - 7028.7591*b895 - 8809.929*b896 - 11157.7677*b897 - 14695.0206*b898
      - 18664.6536*b899 - 23653.9953*b900 - 29176.0647*b901 - 129.5686*b902
      - 190.9432*b903 - 300.0536*b904 - 460.3095*b905 - 688.7594*b906
      - 1094.5137*b907 - 1513.9068*b908 - 2199.2565*b909 - 3269.9023*b910
      - 4084.8206*b911 - 5090.6821*b912 - 6686.4217*b913 - 8449.2366*b914
      - 10416.6335*b915 - 13198.9487*b916 - 16240.4011*b917 - 20355.909*b918
      - 25780.7417*b919 - 33953.7926*b920 - 43125.8856*b921 - 54654.0813*b922
      - 67413.1787*b923 - 39.444*b924 - 58.128*b925 - 91.344*b926 - 140.13*b927
      - 209.676*b928 - 333.198*b929 - 460.872*b930 - 669.51*b931 - 995.442*b932
      - 1243.524*b933 - 1549.734*b934 - 2035.518*b935 - 2572.164*b936
      - 3171.09*b937 - 4018.098*b938 - 4943.994*b939 - 6196.86*b940
      - 7848.318*b941 - 10336.404*b942 - 13128.624*b943 - 16638.102*b944
      - 20522.298*b945 - 28.5304*b946 - 42.0448*b947 - 66.0704*b948
      - 101.358*b949 - 151.6616*b950 - 241.0068*b951 - 333.3552*b952
      - 484.266*b953 - 720.0172*b954 - 899.4584*b955 - 1120.9444*b956
      - 1472.3188*b957 - 1860.4824*b958 - 2293.694*b959 - 2906.3468*b960
      - 3576.0604*b961 - 4482.276*b962 - 5676.7988*b963 - 7476.4664*b964
      - 9496.1184*b965 - 12034.5732*b966 - 14844.0668*b967 - 50.3614*b968
      - 74.2168*b969 - 116.6264*b970 - 178.9155*b971 - 267.7106*b972
      - 425.4213*b973 - 588.4332*b974 - 854.8185*b975 - 1270.9627*b976
      - 1587.7094*b977 - 1978.6729*b978 - 2598.9133*b979 - 3284.0934*b980
      - 4048.7915*b981 - 5130.2363*b982 - 6312.4039*b983 - 7912.041*b984
      - 10020.5933*b985 - 13197.3374*b986 - 16762.3944*b987 - 21243.2337*b988
      - 26202.5063*b989 - 80.161*b990 - 118.132*b991 - 185.636*b992
      - 284.7825*b993 - 426.119*b994 - 677.1495*b995 - 936.618*b996
      - 1360.6275*b997 - 2023.0105*b998 - 2527.181*b999 - 3149.4835*b1000
      - 4136.7295*b1001 - 5227.341*b1002 - 6444.5225*b1003 - 8165.8745*b1004
      - 10047.5485*b1005 - 12593.715*b1006 - 15949.9295*b1007 - 21006.401*b1008
      - 26680.956*b1009 - 33813.1755*b1010 - 41706.9245*b1011 - 56.0462*b1012
      - 82.5944*b1013 - 129.7912*b1014 - 199.1115*b1015 - 297.9298*b1016
      - 473.4429*b1017 - 654.8556*b1018 - 951.3105*b1019 - 1414.4291*b1020
      - 1766.9302*b1021 - 2202.0257*b1022 - 2892.2789*b1023 - 3654.8022*b1024
      - 4505.8195*b1025 - 5709.3379*b1026 - 7024.9487*b1027 - 8805.153*b1028
      - 11151.7189*b1029 - 14687.0542*b1030 - 18654.5352*b1031
      - 23641.1721*b1032 - 29160.2479*b1033 - 43.244*b1034 - 63.728*b1035
      - 100.144*b1036 - 153.63*b1037 - 229.876*b1038 - 365.298*b1039
      - 505.272*b1040 - 734.01*b1041 - 1091.342*b1042 - 1363.324*b1043
      - 1699.034*b1044 - 2231.618*b1045 - 2819.964*b1046 - 3476.59*b1047
      - 4405.198*b1048 - 5420.294*b1049 - 6793.86*b1050 - 8604.418*b1051
      - 11332.204*b1052 - 14393.424*b1053 - 18241.002*b1054 - 22499.398*b1055
      - 68.5102*b1056 - 100.9624*b1057 - 158.6552*b1058 - 243.3915*b1059
      - 364.1858*b1060 - 578.7309*b1061 - 800.4876*b1062 - 1162.8705*b1063
      - 1728.9811*b1064 - 2159.8742*b1065 - 2691.7297*b1066 - 3535.4869*b1067
      - 4467.5862*b1068 - 5507.8595*b1069 - 6979.0259*b1070 - 8587.2127*b1071
      - 10763.313*b1072 - 13631.7269*b1073 - 17953.2782*b1074
      - 22803.0792*b1075 - 28898.6841*b1076 - 35645.1359*b1077 - 37.7226*b1078
      - 55.5912*b1079 - 87.3576*b1080 - 134.0145*b1081 - 200.5254*b1082
      - 318.6567*b1083 - 440.7588*b1084 - 640.2915*b1085 - 951.9993*b1086
      - 1189.2546*b1087 - 1482.1011*b1088 - 1946.6847*b1089 - 2459.9106*b1090
      - 3032.6985*b1091 - 3842.7417*b1092 - 4728.2301*b1093 - 5926.419*b1094
      - 7505.8047*b1095 - 9885.3066*b1096 - 12555.6696*b1097 - 15911.9883*b1098
      - 19626.6717*b1099 - 66.7736*b1100 - 98.4032*b1101 - 154.6336*b1102
      - 237.222*b1103 - 354.9544*b1104 - 564.0612*b1105 - 780.1968*b1106
      - 1133.394*b1107 - 1685.1548*b1108 - 2105.1256*b1109 - 2623.4996*b1110
      - 3445.8692*b1111 - 4354.3416*b1112 - 5368.246*b1113 - 6802.1212*b1114
      - 8369.5436*b1115 - 10490.484*b1116 - 13286.1892*b1117 - 17498.1976*b1118
      - 22225.0656*b1119 - 28166.1588*b1120 - 34741.6012*b1121 - 56.639*b1122
      - 83.468*b1123 - 131.164*b1124 - 201.2175*b1125 - 301.081*b1126
      - 478.4505*b1127 - 661.782*b1128 - 961.3725*b1129 - 1429.3895*b1130
      - 1785.619*b1131 - 2225.3165*b1132 - 2922.8705*b1133 - 3693.459*b1134
      - 4553.4775*b1135 - 5769.7255*b1136 - 7099.2515*b1137 - 8898.285*b1138
      - 11269.6705*b1139 - 14842.399*b1140 - 18851.844*b1141 - 23891.2245*b1142
      - 29468.6755*b1143 - 21.546*b1144 - 31.752*b1145 - 49.896*b1146
      - 76.545*b1147 - 114.534*b1148 - 182.007*b1149 - 251.748*b1150
      - 365.715*b1151 - 543.753*b1152 - 679.266*b1153 - 846.531*b1154
      - 1111.887*b1155 - 1405.026*b1156 - 1732.185*b1157 - 2194.857*b1158
      - 2700.621*b1159 - 3384.99*b1160 - 4287.087*b1161 - 5646.186*b1162
      - 7171.416*b1163 - 9088.443*b1164 - 11210.157*b1165 - 81.719*b1166
      - 120.428*b1167 - 189.244*b1168 - 290.3175*b1169 - 434.401*b1170
      - 690.3105*b1171 - 954.822*b1172 - 1387.0725*b1173 - 2062.3295*b1174
      - 2576.299*b1175 - 3210.6965*b1176 - 4217.1305*b1177 - 5328.939*b1178
      - 6569.7775*b1179 - 8324.5855*b1180 - 10242.8315*b1181 - 12838.485*b1182
      - 16259.9305*b1183 - 21414.679*b1184 - 27199.524*b1185 - 34470.3645*b1186
      - 42517.5355*b1187 - 47.1504*b1188 - 69.4848*b1189 - 109.1904*b1190
      - 167.508*b1191 - 250.6416*b1192 - 398.2968*b1193 - 550.9152*b1194
      - 800.316*b1195 - 1189.9272*b1196 - 1486.4784*b1197 - 1852.5144*b1198
      - 2433.2088*b1199 - 3074.7024*b1200 - 3790.644*b1201 - 4803.1368*b1202
      - 5909.9304*b1203 - 7407.576*b1204 - 9381.6888*b1205 - 12355.8864*b1206
      - 15693.6384*b1207 - 19888.7832*b1208 - 24531.8568*b1209 - 45.5886*b1210
      - 67.1832*b1211 - 105.5736*b1212 - 161.9595*b1213 - 242.3394*b1214
      - 385.1037*b1215 - 532.6668*b1216 - 773.8065*b1217 - 1150.5123*b1218
      - 1437.2406*b1219 - 1791.1521*b1220 - 2352.6117*b1221 - 2972.8566*b1222
      - 3665.0835*b1223 - 4644.0387*b1224 - 5714.1711*b1225 - 7162.209*b1226
      - 9070.9317*b1227 - 11946.6126*b1228 - 15173.8056*b1229
      - 19229.9913*b1230 - 23719.2687*b1231 - 68.9396*b1232 - 101.5952*b1233
      - 159.6496*b1234 - 244.917*b1235 - 366.4684*b1236 - 582.3582*b1237
      - 805.5048*b1238 - 1170.159*b1239 - 1739.8178*b1240 - 2173.4116*b1241
      - 2708.6006*b1242 - 3557.6462*b1243 - 4495.5876*b1244 - 5542.381*b1245
      - 7022.7682*b1246 - 8641.0346*b1247 - 10830.774*b1248 - 13717.1662*b1249
      - 18065.8036*b1250 - 22946.0016*b1251 - 29079.8118*b1252
      - 35868.5482*b1253 - 22.7734*b1254 - 33.5608*b1255 - 52.7384*b1256
      - 80.9055*b1257 - 121.0586*b1258 - 192.3753*b1259 - 266.0892*b1260
      - 386.5485*b1261 - 574.7287*b1262 - 717.9614*b1263 - 894.7549*b1264
      - 1175.2273*b1265 - 1485.0654*b1266 - 1830.8615*b1267 - 2319.8903*b1268
      - 2854.4659*b1269 - 3577.821*b1270 - 4531.3073*b1271 - 5967.8294*b1272
      - 7579.9464*b1273 - 9606.1797*b1274 - 11848.7603*b1275 - 29.83*b1276
      - 43.96*b1277 - 69.08*b1278 - 105.975*b1279 - 158.57*b1280
      - 251.985*b1281 - 348.54*b1282 - 506.325*b1283 - 752.815*b1284
      - 940.43*b1285 - 1172.005*b1286 - 1539.385*b1287 - 1945.23*b1288
      - 2398.175*b1289 - 3038.735*b1290 - 3738.955*b1291 - 4686.45*b1292
      - 5935.385*b1293 - 7817.03*b1294 - 9928.68*b1295 - 12582.765*b1296
      - 15520.235*b1297 - 54.8872*b1298 - 80.8864*b1299 - 127.1072*b1300
      - 194.994*b1301 - 291.7688*b1302 - 463.6524*b1303 - 641.3136*b1304
      - 931.638*b1305 - 1385.1796*b1306 - 1730.3912*b1307 - 2156.4892*b1308
      - 2832.4684*b1309 - 3579.2232*b1310 - 4412.642*b1311 - 5591.2724*b1312
      - 6879.6772*b1313 - 8623.068*b1314 - 10921.1084*b1315 - 14383.3352*b1316
      - 18268.7712*b1317 - 23152.2876*b1318 - 28557.2324*b1319 - 13.2012*b1320
      - 19.4544*b1321 - 30.5712*b1322 - 46.899*b1323 - 70.1748*b1324
      - 111.5154*b1325 - 154.2456*b1326 - 224.073*b1327 - 333.1566*b1328
      - 416.1852*b1329 - 518.6682*b1330 - 681.2514*b1331 - 860.8572*b1332
      - 1061.307*b1333 - 1344.7854*b1334 - 1654.6662*b1335 - 2073.978*b1336
      - 2626.6914*b1337 - 3459.4092*b1338 - 4393.9152*b1339 - 5568.4746*b1340
      - 6868.4454*b1341 - 62.9546*b1342 - 92.7752*b1343 - 145.7896*b1344
      - 223.6545*b1345 - 334.6534*b1346 - 531.8007*b1347 - 735.5748*b1348
      - 1068.5715*b1349 - 1588.7753*b1350 - 1984.7266*b1351 - 2473.4531*b1352
      - 3248.7887*b1353 - 4105.3026*b1354 - 5061.2185*b1355 - 6413.0857*b1356
      - 7890.8621*b1357 - 9890.499*b1358 - 12526.3087*b1359 - 16497.4186*b1360
      - 20953.9416*b1361 - 26555.2443*b1362 - 32754.6157*b1363 - 31.6046*b1364
      - 46.5752*b1365 - 73.1896*b1366 - 112.2795*b1367 - 168.0034*b1368
      - 266.9757*b1369 - 369.2748*b1370 - 536.4465*b1371 - 797.6003*b1372
      - 996.3766*b1373 - 1241.7281*b1374 - 1630.9637*b1375 - 2060.9526*b1376
      - 2540.8435*b1377 - 3219.5107*b1378 - 3961.3871*b1379 - 4965.249*b1380
      - 6288.4837*b1381 - 8282.0686*b1382 - 10519.3416*b1383 - 13331.3193*b1384
      - 16443.5407*b1385 - 80.0812*b1386 - 118.0144*b1387 - 185.4512*b1388
      - 284.499*b1389 - 425.6948*b1390 - 676.4754*b1391 - 935.6856*b1392
      - 1359.273*b1393 - 2020.9966*b1394 - 2524.6652*b1395 - 3146.3482*b1396
      - 4132.6114*b1397 - 5222.1372*b1398 - 6438.107*b1399 - 8157.7454*b1400
      - 10037.5462*b1401 - 12581.178*b1402 - 15934.0514*b1403
      - 20985.4892*b1404 - 26654.3952*b1405 - 33779.5146*b1406
      - 41665.4054*b1407 - 0.38*b1408 - 0.56*b1409 - 0.88*b1410 - 1.35*b1411
      - 2.02*b1412 - 3.21*b1413 - 4.44*b1414 - 6.45*b1415 - 9.59*b1416
      - 11.98*b1417 - 14.93*b1418 - 19.61*b1419 - 24.78*b1420 - 30.55*b1421
      - 38.71*b1422 - 47.63*b1423 - 59.7*b1424 - 75.61*b1425 - 99.58*b1426
      - 126.48*b1427 - 160.29*b1428 - 197.71*b1429 + objvar =E= 0;

e2..    x38 + x39 - x94 - x95 =E= -0.00049;

e3..    x40 + x41 - x64 =E= -0.00104;

e4..  - x40 + x42 + x43 =E= -0.00102;

e5..  - x42 + x44 - x55 =E= -0.00081;

e6..  - x44 + x45 + x46 =E= -0.00063;

e7..  - x45 + x47 - x70 =E= -0.00079;

e8..  - x47 + x48 - x72 =E= -0.00026;

e9..    x49 - x75 - x77 =E= -0.00058;

e10..    x50 - x81 - x85 =E= -0.00054;

e11..    x51 + x52 - x66 - x87 =E= -0.00111;

e12..  - x43 - x51 + x53 + x54 =E= -0.00175;

e13..    x55 + x56 - x67 =E= -0.00091;

e14..  - x46 - x56 + x57 =E= -0.00116;

e15..  - x57 + x58 + x59 =E= -0.00054;

e16..    x60 + x61 - x69 - x78 =E= -0.0011;

e17..  - x60 + x62 + x63 - x80 =E= -0.00121;

e18..  - x38 + x64 + x65 =E= -0.00127;

e19..  - x41 - x65 + x66 =E= -0.00202;

e20..  - x53 + x67 + x68 =E= -0.00188;

e21..  - x58 - x68 + x69 =E= -0.00093;

e22..  - x59 + x70 + x71 =E= -0.00096;

e23..  - x61 - x71 + x72 + x73 =E= -0.00097;

e24..  - x73 + x74 - x76 =E= -0.00086;

e25..  - x48 + x75 + x76 =E= -0.00067;

e26..  - x62 - x74 + x77 =E= -0.00077;

e27..  - x54 + x78 + x79 =E= -0.00169;

e28..  - x79 + x80 - x89 =E= -0.00142;

e29..  - x49 + x81 + x82 =E= -0.0003;

e30..  - x63 - x82 + x83 + x84 =E= -0.00062;

e31..  - x83 + x85 + x86 =E= -0.00054;

e32..  - x39 + x87 + x88 =E= -0.0009;

e33..  - x52 + x89 + x90 =E= -0.00103;

e34..  - x84 - x90 + x91 =E= -0.00077;

e35..  - x88 - x91 + x92 =E= -0.00074;

e36..  - x86 - x92 + x93 =E= -0.00116;

e37..  - x50 - x93 + x94 =E= -0.00047;

e38.. SignPower(x38,1.852) - 7.54518669674666*(1.27323954473516*x96)**2.435*(x1
       - x17) =E= 0;

e39.. SignPower(x39,1.852) - 13.2833707182083*(1.27323954473516*x97)**2.435*(x1
       - x31) =E= 0;

e40.. SignPower(x40,1.852) - 8.36561705244769*(1.27323954473516*x98)**2.435*(x2
       - x3) =E= 0;

e41.. SignPower(x41,1.852) - 6.14652381334041*(1.27323954473516*x99)**2.435*(x2
       - x18) =E= 0;

e42.. SignPower(x42,1.852) - 3.20318171482504*(1.27323954473516*x100)**2.435*(
      x3 - x4) =E= 0;

e43.. SignPower(x43,1.852) - 5.07652030133837*(1.27323954473516*x101)**2.435*(
      x3 - x11) =E= 0;

e44.. SignPower(x44,1.852) - 3.4650073882185*(1.27323954473516*x102)**2.435*(x4
       - x5) =E= 0;

e45.. SignPower(x45,1.852) - 2.97832184420089*(1.27323954473516*x103)**2.435*(
      x5 - x6) =E= 0;

e46.. SignPower(x46,1.852) - 12.9435196518941*(1.27323954473516*x104)**2.435*(
      x5 - x13) =E= 0;

e47.. SignPower(x47,1.852) - 7.37573805949552*(1.27323954473516*x105)**2.435*(
      x6 - x7) =E= 0;

e48.. SignPower(x48,1.852) - 4.97713895389092*(1.27323954473516*x106)**2.435*(
      x7 - x24) =E= 0;

e49.. SignPower(x49,1.852) - 6.92450563984575*(1.27323954473516*x107)**2.435*(
      x8 - x28) =E= 0;

e50.. SignPower(x50,1.852) - 8.93018619827125*(1.27323954473516*x108)**2.435*(
      x9 - x36) =E= 0;

e51.. SignPower(x51,1.852) - 6.81613354559123*(1.27323954473516*x109)**2.435*(
      x10 - x11) =E= 0;

e52.. SignPower(x52,1.852) - 20.1063626226433*(1.27323954473516*x110)**2.435*(
      x10 - x32) =E= 0;

e53.. SignPower(x53,1.852) - 6.15710237789715*(1.27323954473516*x111)**2.435*(
      x11 - x19) =E= 0;

e54.. SignPower(x54,1.852) - 12.0251979094848*(1.27323954473516*x112)**2.435*(
      x11 - x26) =E= 0;

e55.. SignPower(x55,1.852) - 18.9071156258982*(1.27323954473516*x113)**2.435*(
      x12 - x4) =E= 0;

e56.. SignPower(x56,1.852) - 4.91438446676194*(1.27323954473516*x114)**2.435*(
      x12 - x13) =E= 0;

e57.. SignPower(x57,1.852) - 8.91429194500389*(1.27323954473516*x115)**2.435*(
      x13 - x14) =E= 0;

e58.. SignPower(x58,1.852) - 26.8264324011807*(1.27323954473516*x116)**2.435*(
      x14 - x20) =E= 0;

e59.. SignPower(x59,1.852) - 15.3658381018574*(1.27323954473516*x117)**2.435*(
      x14 - x21) =E= 0;

e60.. SignPower(x60,1.852) - 5.47915428213591*(1.27323954473516*x118)**2.435*(
      x15 - x16) =E= 0;

e61.. SignPower(x61,1.852) - 12.3941968059897*(1.27323954473516*x119)**2.435*(
      x15 - x22) =E= 0;

e62.. SignPower(x62,1.852) - 12.1727911758426*(1.27323954473516*x120)**2.435*(
      x16 - x25) =E= 0;

e63.. SignPower(x63,1.852) - 7.36435072680552*(1.27323954473516*x121)**2.435*(
      x16 - x29) =E= 0;

e64.. SignPower(x64,1.852) - 2.67347866408692*(1.27323954473516*x122)**2.435*(
      x17 - x2) =E= 0;

e65.. SignPower(x65,1.852) - 4.26981664901998*(1.27323954473516*x123)**2.435*(
      x17 - x18) =E= 0;

e66.. SignPower(x66,1.852) - 11.9306691979524*(1.27323954473516*x124)**2.435*(
      x18 - x10) =E= 0;

e67.. SignPower(x67,1.852) - 10.0531813113216*(1.27323954473516*x125)**2.435*(
      x19 - x12) =E= 0;

e68.. SignPower(x68,1.852) - 4.03829464164518*(1.27323954473516*x126)**2.435*(
      x19 - x20) =E= 0;

e69.. SignPower(x69,1.852) - 9.20256303040962*(1.27323954473516*x127)**2.435*(
      x20 - x15) =E= 0;

e70.. SignPower(x70,1.852) - 4.76795176286395*(1.27323954473516*x128)**2.435*(
      x21 - x6) =E= 0;

e71.. SignPower(x71,1.852) - 6.78795816127998*(1.27323954473516*x129)**2.435*(
      x21 - x22) =E= 0;

e72.. SignPower(x72,1.852) - 2.93779213966064*(1.27323954473516*x130)**2.435*(
      x22 - x7) =E= 0;

e73.. SignPower(x73,1.852) - 9.650279247207*(1.27323954473516*x131)**2.435*(x22
       - x23) =E= 0;

e74.. SignPower(x74,1.852) - 13.3417552725105*(1.27323954473516*x132)**2.435*(
      x23 - x25) =E= 0;

e75.. SignPower(x75,1.852) - 7.55828103719978*(1.27323954473516*x133)**2.435*(
      x24 - x8) =E= 0;

e76.. SignPower(x76,1.852) - 4.7485137988153*(1.27323954473516*x134)**2.435*(
      x24 - x23) =E= 0;

e77.. SignPower(x77,1.852) - 6.79164001532366*(1.27323954473516*x135)**2.435*(
      x25 - x8) =E= 0;

e78.. SignPower(x78,1.852) - 8.80227579841904*(1.27323954473516*x136)**2.435*(
      x26 - x15) =E= 0;

e79.. SignPower(x79,1.852) - 5.55604296333733*(1.27323954473516*x137)**2.435*(
      x26 - x27) =E= 0;

e80.. SignPower(x80,1.852) - 10.0906516153932*(1.27323954473516*x138)**2.435*(
      x27 - x16) =E= 0;

e81.. SignPower(x81,1.852) - 5.70054055235651*(1.27323954473516*x139)**2.435*(
      x28 - x9) =E= 0;

e82.. SignPower(x82,1.852) - 6.72055676524714*(1.27323954473516*x140)**2.435*(
      x28 - x29) =E= 0;

e83.. SignPower(x83,1.852) - 17.6666487806012*(1.27323954473516*x141)**2.435*(
      x29 - x30) =E= 0;

e84.. SignPower(x84,1.852) - 4.65798179893088*(1.27323954473516*x142)**2.435*(
      x29 - x33) =E= 0;

e85.. SignPower(x85,1.852) - 8.07300923484918*(1.27323954473516*x143)**2.435*(
      x30 - x9) =E= 0;

e86.. SignPower(x86,1.852) - 8.34957894356995*(1.27323954473516*x144)**2.435*(
      x30 - x35) =E= 0;

e87.. SignPower(x87,1.852) - 5.52143636787613*(1.27323954473516*x145)**2.435*(
      x31 - x10) =E= 0;

e88.. SignPower(x88,1.852) - 16.7144833282177*(1.27323954473516*x146)**2.435*(
      x31 - x34) =E= 0;

e89.. SignPower(x89,1.852) - 12.7604966351603*(1.27323954473516*x147)**2.435*(
      x32 - x27) =E= 0;

e90.. SignPower(x90,1.852) - 6.93505251910888*(1.27323954473516*x148)**2.435*(
      x32 - x33) =E= 0;

e91.. SignPower(x91,1.852) - 28.8341676989087*(1.27323954473516*x149)**2.435*(
      x33 - x34) =E= 0;

e92.. SignPower(x92,1.852) - 6.04635109470687*(1.27323954473516*x150)**2.435*(
      x34 - x35) =E= 0;

e93.. SignPower(x93,1.852) - 12.043994058676*(1.27323954473516*x151)**2.435*(
      x35 - x36) =E= 0;

e94.. SignPower(x94,1.852) - 4.75324563851232*(1.27323954473516*x152)**2.435*(
      x36 - x1) =E= 0;

e95.. SignPower(x95,1.852) - 1001.69898586009*(1.27323954473516*x153)**2.435*(
      x37 - x1) =E= 0;

e96..    x38 - x96 =L= 0;

e97..    x39 - x97 =L= 0;

e98..    x40 - x98 =L= 0;

e99..    x41 - x99 =L= 0;

e100..    x42 - x100 =L= 0;

e101..    x43 - x101 =L= 0;

e102..    x44 - x102 =L= 0;

e103..    x45 - x103 =L= 0;

e104..    x46 - x104 =L= 0;

e105..    x47 - x105 =L= 0;

e106..    x48 - x106 =L= 0;

e107..    x49 - x107 =L= 0;

e108..    x50 - x108 =L= 0;

e109..    x51 - x109 =L= 0;

e110..    x52 - x110 =L= 0;

e111..    x53 - x111 =L= 0;

e112..    x54 - x112 =L= 0;

e113..    x55 - x113 =L= 0;

e114..    x56 - x114 =L= 0;

e115..    x57 - x115 =L= 0;

e116..    x58 - x116 =L= 0;

e117..    x59 - x117 =L= 0;

e118..    x60 - x118 =L= 0;

e119..    x61 - x119 =L= 0;

e120..    x62 - x120 =L= 0;

e121..    x63 - x121 =L= 0;

e122..    x64 - x122 =L= 0;

e123..    x65 - x123 =L= 0;

e124..    x66 - x124 =L= 0;

e125..    x67 - x125 =L= 0;

e126..    x68 - x126 =L= 0;

e127..    x69 - x127 =L= 0;

e128..    x70 - x128 =L= 0;

e129..    x71 - x129 =L= 0;

e130..    x72 - x130 =L= 0;

e131..    x73 - x131 =L= 0;

e132..    x74 - x132 =L= 0;

e133..    x75 - x133 =L= 0;

e134..    x76 - x134 =L= 0;

e135..    x77 - x135 =L= 0;

e136..    x78 - x136 =L= 0;

e137..    x79 - x137 =L= 0;

e138..    x80 - x138 =L= 0;

e139..    x81 - x139 =L= 0;

e140..    x82 - x140 =L= 0;

e141..    x83 - x141 =L= 0;

e142..    x84 - x142 =L= 0;

e143..    x85 - x143 =L= 0;

e144..    x86 - x144 =L= 0;

e145..    x87 - x145 =L= 0;

e146..    x88 - x146 =L= 0;

e147..    x89 - x147 =L= 0;

e148..    x90 - x148 =L= 0;

e149..    x91 - x149 =L= 0;

e150..    x92 - x150 =L= 0;

e151..    x93 - x151 =L= 0;

e152..    x94 - x152 =L= 0;

e153..    x95 - x153 =L= 0;

e154..    x38 + x96 =G= 0;

e155..    x39 + x97 =G= 0;

e156..    x40 + x98 =G= 0;

e157..    x41 + x99 =G= 0;

e158..    x42 + x100 =G= 0;

e159..    x43 + x101 =G= 0;

e160..    x44 + x102 =G= 0;

e161..    x45 + x103 =G= 0;

e162..    x46 + x104 =G= 0;

e163..    x47 + x105 =G= 0;

e164..    x48 + x106 =G= 0;

e165..    x49 + x107 =G= 0;

e166..    x50 + x108 =G= 0;

e167..    x51 + x109 =G= 0;

e168..    x52 + x110 =G= 0;

e169..    x53 + x111 =G= 0;

e170..    x54 + x112 =G= 0;

e171..    x55 + x113 =G= 0;

e172..    x56 + x114 =G= 0;

e173..    x57 + x115 =G= 0;

e174..    x58 + x116 =G= 0;

e175..    x59 + x117 =G= 0;

e176..    x60 + x118 =G= 0;

e177..    x61 + x119 =G= 0;

e178..    x62 + x120 =G= 0;

e179..    x63 + x121 =G= 0;

e180..    x64 + x122 =G= 0;

e181..    x65 + x123 =G= 0;

e182..    x66 + x124 =G= 0;

e183..    x67 + x125 =G= 0;

e184..    x68 + x126 =G= 0;

e185..    x69 + x127 =G= 0;

e186..    x70 + x128 =G= 0;

e187..    x71 + x129 =G= 0;

e188..    x72 + x130 =G= 0;

e189..    x73 + x131 =G= 0;

e190..    x74 + x132 =G= 0;

e191..    x75 + x133 =G= 0;

e192..    x76 + x134 =G= 0;

e193..    x77 + x135 =G= 0;

e194..    x78 + x136 =G= 0;

e195..    x79 + x137 =G= 0;

e196..    x80 + x138 =G= 0;

e197..    x81 + x139 =G= 0;

e198..    x82 + x140 =G= 0;

e199..    x83 + x141 =G= 0;

e200..    x84 + x142 =G= 0;

e201..    x85 + x143 =G= 0;

e202..    x86 + x144 =G= 0;

e203..    x87 + x145 =G= 0;

e204..    x88 + x146 =G= 0;

e205..    x89 + x147 =G= 0;

e206..    x90 + x148 =G= 0;

e207..    x91 + x149 =G= 0;

e208..    x92 + x150 =G= 0;

e209..    x93 + x151 =G= 0;

e210..    x94 + x152 =G= 0;

e211..    x95 + x153 =G= 0;

e212..    x96 - 0.000201061929829747*b154 - 0.000326851299679482*b155
        - 0.000530929158456675*b156 - 0.000834689752132272*b157
        - 0.00130740519871793*b158 - 0.00207499053176952*b159
        - 0.00296091966008184*b160 - 0.00425447043519744*b161
        - 0.00636172512351933*b162 - 0.0082033581529802*b163
        - 0.0103147597436048*b164 - 0.0134370944342281*b165
        - 0.0170178817407898*b166 - 0.0210211504274062*b167
        - 0.026590440219984*b168 - 0.0328776781816867*b169
        - 0.0412590389744193*b170 - 0.0521982216738517*b171
        - 0.0663255868459265*b172 - 0.0841874260371767*b173
        - 0.106477402905515*b174 - 0.131510712726747*b175 =E= 0;

e213..    x97 - 0.000201061929829747*b176 - 0.000326851299679482*b177
        - 0.000530929158456675*b178 - 0.000834689752132272*b179
        - 0.00130740519871793*b180 - 0.00207499053176952*b181
        - 0.00296091966008184*b182 - 0.00425447043519744*b183
        - 0.00636172512351933*b184 - 0.0082033581529802*b185
        - 0.0103147597436048*b186 - 0.0134370944342281*b187
        - 0.0170178817407898*b188 - 0.0210211504274062*b189
        - 0.026590440219984*b190 - 0.0328776781816867*b191
        - 0.0412590389744193*b192 - 0.0521982216738517*b193
        - 0.0663255868459265*b194 - 0.0841874260371767*b195
        - 0.106477402905515*b196 - 0.131510712726747*b197 =E= 0;

e214..    x98 - 0.000201061929829747*b198 - 0.000326851299679482*b199
        - 0.000530929158456675*b200 - 0.000834689752132272*b201
        - 0.00130740519871793*b202 - 0.00207499053176952*b203
        - 0.00296091966008184*b204 - 0.00425447043519744*b205
        - 0.00636172512351933*b206 - 0.0082033581529802*b207
        - 0.0103147597436048*b208 - 0.0134370944342281*b209
        - 0.0170178817407898*b210 - 0.0210211504274062*b211
        - 0.026590440219984*b212 - 0.0328776781816867*b213
        - 0.0412590389744193*b214 - 0.0521982216738517*b215
        - 0.0663255868459265*b216 - 0.0841874260371767*b217
        - 0.106477402905515*b218 - 0.131510712726747*b219 =E= 0;

e215..    x99 - 0.000201061929829747*b220 - 0.000326851299679482*b221
        - 0.000530929158456675*b222 - 0.000834689752132272*b223
        - 0.00130740519871793*b224 - 0.00207499053176952*b225
        - 0.00296091966008184*b226 - 0.00425447043519744*b227
        - 0.00636172512351933*b228 - 0.0082033581529802*b229
        - 0.0103147597436048*b230 - 0.0134370944342281*b231
        - 0.0170178817407898*b232 - 0.0210211504274062*b233
        - 0.026590440219984*b234 - 0.0328776781816867*b235
        - 0.0412590389744193*b236 - 0.0521982216738517*b237
        - 0.0663255868459265*b238 - 0.0841874260371767*b239
        - 0.106477402905515*b240 - 0.131510712726747*b241 =E= 0;

e216..    x100 - 0.000201061929829747*b242 - 0.000326851299679482*b243
        - 0.000530929158456675*b244 - 0.000834689752132272*b245
        - 0.00130740519871793*b246 - 0.00207499053176952*b247
        - 0.00296091966008184*b248 - 0.00425447043519744*b249
        - 0.00636172512351933*b250 - 0.0082033581529802*b251
        - 0.0103147597436048*b252 - 0.0134370944342281*b253
        - 0.0170178817407898*b254 - 0.0210211504274062*b255
        - 0.026590440219984*b256 - 0.0328776781816867*b257
        - 0.0412590389744193*b258 - 0.0521982216738517*b259
        - 0.0663255868459265*b260 - 0.0841874260371767*b261
        - 0.106477402905515*b262 - 0.131510712726747*b263 =E= 0;

e217..    x101 - 0.000201061929829747*b264 - 0.000326851299679482*b265
        - 0.000530929158456675*b266 - 0.000834689752132272*b267
        - 0.00130740519871793*b268 - 0.00207499053176952*b269
        - 0.00296091966008184*b270 - 0.00425447043519744*b271
        - 0.00636172512351933*b272 - 0.0082033581529802*b273
        - 0.0103147597436048*b274 - 0.0134370944342281*b275
        - 0.0170178817407898*b276 - 0.0210211504274062*b277
        - 0.026590440219984*b278 - 0.0328776781816867*b279
        - 0.0412590389744193*b280 - 0.0521982216738517*b281
        - 0.0663255868459265*b282 - 0.0841874260371767*b283
        - 0.106477402905515*b284 - 0.131510712726747*b285 =E= 0;

e218..    x102 - 0.000201061929829747*b286 - 0.000326851299679482*b287
        - 0.000530929158456675*b288 - 0.000834689752132272*b289
        - 0.00130740519871793*b290 - 0.00207499053176952*b291
        - 0.00296091966008184*b292 - 0.00425447043519744*b293
        - 0.00636172512351933*b294 - 0.0082033581529802*b295
        - 0.0103147597436048*b296 - 0.0134370944342281*b297
        - 0.0170178817407898*b298 - 0.0210211504274062*b299
        - 0.026590440219984*b300 - 0.0328776781816867*b301
        - 0.0412590389744193*b302 - 0.0521982216738517*b303
        - 0.0663255868459265*b304 - 0.0841874260371767*b305
        - 0.106477402905515*b306 - 0.131510712726747*b307 =E= 0;

e219..    x103 - 0.000201061929829747*b308 - 0.000326851299679482*b309
        - 0.000530929158456675*b310 - 0.000834689752132272*b311
        - 0.00130740519871793*b312 - 0.00207499053176952*b313
        - 0.00296091966008184*b314 - 0.00425447043519744*b315
        - 0.00636172512351933*b316 - 0.0082033581529802*b317
        - 0.0103147597436048*b318 - 0.0134370944342281*b319
        - 0.0170178817407898*b320 - 0.0210211504274062*b321
        - 0.026590440219984*b322 - 0.0328776781816867*b323
        - 0.0412590389744193*b324 - 0.0521982216738517*b325
        - 0.0663255868459265*b326 - 0.0841874260371767*b327
        - 0.106477402905515*b328 - 0.131510712726747*b329 =E= 0;

e220..    x104 - 0.000201061929829747*b330 - 0.000326851299679482*b331
        - 0.000530929158456675*b332 - 0.000834689752132272*b333
        - 0.00130740519871793*b334 - 0.00207499053176952*b335
        - 0.00296091966008184*b336 - 0.00425447043519744*b337
        - 0.00636172512351933*b338 - 0.0082033581529802*b339
        - 0.0103147597436048*b340 - 0.0134370944342281*b341
        - 0.0170178817407898*b342 - 0.0210211504274062*b343
        - 0.026590440219984*b344 - 0.0328776781816867*b345
        - 0.0412590389744193*b346 - 0.0521982216738517*b347
        - 0.0663255868459265*b348 - 0.0841874260371767*b349
        - 0.106477402905515*b350 - 0.131510712726747*b351 =E= 0;

e221..    x105 - 0.000201061929829747*b352 - 0.000326851299679482*b353
        - 0.000530929158456675*b354 - 0.000834689752132272*b355
        - 0.00130740519871793*b356 - 0.00207499053176952*b357
        - 0.00296091966008184*b358 - 0.00425447043519744*b359
        - 0.00636172512351933*b360 - 0.0082033581529802*b361
        - 0.0103147597436048*b362 - 0.0134370944342281*b363
        - 0.0170178817407898*b364 - 0.0210211504274062*b365
        - 0.026590440219984*b366 - 0.0328776781816867*b367
        - 0.0412590389744193*b368 - 0.0521982216738517*b369
        - 0.0663255868459265*b370 - 0.0841874260371767*b371
        - 0.106477402905515*b372 - 0.131510712726747*b373 =E= 0;

e222..    x106 - 0.000201061929829747*b374 - 0.000326851299679482*b375
        - 0.000530929158456675*b376 - 0.000834689752132272*b377
        - 0.00130740519871793*b378 - 0.00207499053176952*b379
        - 0.00296091966008184*b380 - 0.00425447043519744*b381
        - 0.00636172512351933*b382 - 0.0082033581529802*b383
        - 0.0103147597436048*b384 - 0.0134370944342281*b385
        - 0.0170178817407898*b386 - 0.0210211504274062*b387
        - 0.026590440219984*b388 - 0.0328776781816867*b389
        - 0.0412590389744193*b390 - 0.0521982216738517*b391
        - 0.0663255868459265*b392 - 0.0841874260371767*b393
        - 0.106477402905515*b394 - 0.131510712726747*b395 =E= 0;

e223..    x107 - 0.000201061929829747*b396 - 0.000326851299679482*b397
        - 0.000530929158456675*b398 - 0.000834689752132272*b399
        - 0.00130740519871793*b400 - 0.00207499053176952*b401
        - 0.00296091966008184*b402 - 0.00425447043519744*b403
        - 0.00636172512351933*b404 - 0.0082033581529802*b405
        - 0.0103147597436048*b406 - 0.0134370944342281*b407
        - 0.0170178817407898*b408 - 0.0210211504274062*b409
        - 0.026590440219984*b410 - 0.0328776781816867*b411
        - 0.0412590389744193*b412 - 0.0521982216738517*b413
        - 0.0663255868459265*b414 - 0.0841874260371767*b415
        - 0.106477402905515*b416 - 0.131510712726747*b417 =E= 0;

e224..    x108 - 0.000201061929829747*b418 - 0.000326851299679482*b419
        - 0.000530929158456675*b420 - 0.000834689752132272*b421
        - 0.00130740519871793*b422 - 0.00207499053176952*b423
        - 0.00296091966008184*b424 - 0.00425447043519744*b425
        - 0.00636172512351933*b426 - 0.0082033581529802*b427
        - 0.0103147597436048*b428 - 0.0134370944342281*b429
        - 0.0170178817407898*b430 - 0.0210211504274062*b431
        - 0.026590440219984*b432 - 0.0328776781816867*b433
        - 0.0412590389744193*b434 - 0.0521982216738517*b435
        - 0.0663255868459265*b436 - 0.0841874260371767*b437
        - 0.106477402905515*b438 - 0.131510712726747*b439 =E= 0;

e225..    x109 - 0.000201061929829747*b440 - 0.000326851299679482*b441
        - 0.000530929158456675*b442 - 0.000834689752132272*b443
        - 0.00130740519871793*b444 - 0.00207499053176952*b445
        - 0.00296091966008184*b446 - 0.00425447043519744*b447
        - 0.00636172512351933*b448 - 0.0082033581529802*b449
        - 0.0103147597436048*b450 - 0.0134370944342281*b451
        - 0.0170178817407898*b452 - 0.0210211504274062*b453
        - 0.026590440219984*b454 - 0.0328776781816867*b455
        - 0.0412590389744193*b456 - 0.0521982216738517*b457
        - 0.0663255868459265*b458 - 0.0841874260371767*b459
        - 0.106477402905515*b460 - 0.131510712726747*b461 =E= 0;

e226..    x110 - 0.000201061929829747*b462 - 0.000326851299679482*b463
        - 0.000530929158456675*b464 - 0.000834689752132272*b465
        - 0.00130740519871793*b466 - 0.00207499053176952*b467
        - 0.00296091966008184*b468 - 0.00425447043519744*b469
        - 0.00636172512351933*b470 - 0.0082033581529802*b471
        - 0.0103147597436048*b472 - 0.0134370944342281*b473
        - 0.0170178817407898*b474 - 0.0210211504274062*b475
        - 0.026590440219984*b476 - 0.0328776781816867*b477
        - 0.0412590389744193*b478 - 0.0521982216738517*b479
        - 0.0663255868459265*b480 - 0.0841874260371767*b481
        - 0.106477402905515*b482 - 0.131510712726747*b483 =E= 0;

e227..    x111 - 0.000201061929829747*b484 - 0.000326851299679482*b485
        - 0.000530929158456675*b486 - 0.000834689752132272*b487
        - 0.00130740519871793*b488 - 0.00207499053176952*b489
        - 0.00296091966008184*b490 - 0.00425447043519744*b491
        - 0.00636172512351933*b492 - 0.0082033581529802*b493
        - 0.0103147597436048*b494 - 0.0134370944342281*b495
        - 0.0170178817407898*b496 - 0.0210211504274062*b497
        - 0.026590440219984*b498 - 0.0328776781816867*b499
        - 0.0412590389744193*b500 - 0.0521982216738517*b501
        - 0.0663255868459265*b502 - 0.0841874260371767*b503
        - 0.106477402905515*b504 - 0.131510712726747*b505 =E= 0;

e228..    x112 - 0.000201061929829747*b506 - 0.000326851299679482*b507
        - 0.000530929158456675*b508 - 0.000834689752132272*b509
        - 0.00130740519871793*b510 - 0.00207499053176952*b511
        - 0.00296091966008184*b512 - 0.00425447043519744*b513
        - 0.00636172512351933*b514 - 0.0082033581529802*b515
        - 0.0103147597436048*b516 - 0.0134370944342281*b517
        - 0.0170178817407898*b518 - 0.0210211504274062*b519
        - 0.026590440219984*b520 - 0.0328776781816867*b521
        - 0.0412590389744193*b522 - 0.0521982216738517*b523
        - 0.0663255868459265*b524 - 0.0841874260371767*b525
        - 0.106477402905515*b526 - 0.131510712726747*b527 =E= 0;

e229..    x113 - 0.000201061929829747*b528 - 0.000326851299679482*b529
        - 0.000530929158456675*b530 - 0.000834689752132272*b531
        - 0.00130740519871793*b532 - 0.00207499053176952*b533
        - 0.00296091966008184*b534 - 0.00425447043519744*b535
        - 0.00636172512351933*b536 - 0.0082033581529802*b537
        - 0.0103147597436048*b538 - 0.0134370944342281*b539
        - 0.0170178817407898*b540 - 0.0210211504274062*b541
        - 0.026590440219984*b542 - 0.0328776781816867*b543
        - 0.0412590389744193*b544 - 0.0521982216738517*b545
        - 0.0663255868459265*b546 - 0.0841874260371767*b547
        - 0.106477402905515*b548 - 0.131510712726747*b549 =E= 0;

e230..    x114 - 0.000201061929829747*b550 - 0.000326851299679482*b551
        - 0.000530929158456675*b552 - 0.000834689752132272*b553
        - 0.00130740519871793*b554 - 0.00207499053176952*b555
        - 0.00296091966008184*b556 - 0.00425447043519744*b557
        - 0.00636172512351933*b558 - 0.0082033581529802*b559
        - 0.0103147597436048*b560 - 0.0134370944342281*b561
        - 0.0170178817407898*b562 - 0.0210211504274062*b563
        - 0.026590440219984*b564 - 0.0328776781816867*b565
        - 0.0412590389744193*b566 - 0.0521982216738517*b567
        - 0.0663255868459265*b568 - 0.0841874260371767*b569
        - 0.106477402905515*b570 - 0.131510712726747*b571 =E= 0;

e231..    x115 - 0.000201061929829747*b572 - 0.000326851299679482*b573
        - 0.000530929158456675*b574 - 0.000834689752132272*b575
        - 0.00130740519871793*b576 - 0.00207499053176952*b577
        - 0.00296091966008184*b578 - 0.00425447043519744*b579
        - 0.00636172512351933*b580 - 0.0082033581529802*b581
        - 0.0103147597436048*b582 - 0.0134370944342281*b583
        - 0.0170178817407898*b584 - 0.0210211504274062*b585
        - 0.026590440219984*b586 - 0.0328776781816867*b587
        - 0.0412590389744193*b588 - 0.0521982216738517*b589
        - 0.0663255868459265*b590 - 0.0841874260371767*b591
        - 0.106477402905515*b592 - 0.131510712726747*b593 =E= 0;

e232..    x116 - 0.000201061929829747*b594 - 0.000326851299679482*b595
        - 0.000530929158456675*b596 - 0.000834689752132272*b597
        - 0.00130740519871793*b598 - 0.00207499053176952*b599
        - 0.00296091966008184*b600 - 0.00425447043519744*b601
        - 0.00636172512351933*b602 - 0.0082033581529802*b603
        - 0.0103147597436048*b604 - 0.0134370944342281*b605
        - 0.0170178817407898*b606 - 0.0210211504274062*b607
        - 0.026590440219984*b608 - 0.0328776781816867*b609
        - 0.0412590389744193*b610 - 0.0521982216738517*b611
        - 0.0663255868459265*b612 - 0.0841874260371767*b613
        - 0.106477402905515*b614 - 0.131510712726747*b615 =E= 0;

e233..    x117 - 0.000201061929829747*b616 - 0.000326851299679482*b617
        - 0.000530929158456675*b618 - 0.000834689752132272*b619
        - 0.00130740519871793*b620 - 0.00207499053176952*b621
        - 0.00296091966008184*b622 - 0.00425447043519744*b623
        - 0.00636172512351933*b624 - 0.0082033581529802*b625
        - 0.0103147597436048*b626 - 0.0134370944342281*b627
        - 0.0170178817407898*b628 - 0.0210211504274062*b629
        - 0.026590440219984*b630 - 0.0328776781816867*b631
        - 0.0412590389744193*b632 - 0.0521982216738517*b633
        - 0.0663255868459265*b634 - 0.0841874260371767*b635
        - 0.106477402905515*b636 - 0.131510712726747*b637 =E= 0;

e234..    x118 - 0.000201061929829747*b638 - 0.000326851299679482*b639
        - 0.000530929158456675*b640 - 0.000834689752132272*b641
        - 0.00130740519871793*b642 - 0.00207499053176952*b643
        - 0.00296091966008184*b644 - 0.00425447043519744*b645
        - 0.00636172512351933*b646 - 0.0082033581529802*b647
        - 0.0103147597436048*b648 - 0.0134370944342281*b649
        - 0.0170178817407898*b650 - 0.0210211504274062*b651
        - 0.026590440219984*b652 - 0.0328776781816867*b653
        - 0.0412590389744193*b654 - 0.0521982216738517*b655
        - 0.0663255868459265*b656 - 0.0841874260371767*b657
        - 0.106477402905515*b658 - 0.131510712726747*b659 =E= 0;

e235..    x119 - 0.000201061929829747*b660 - 0.000326851299679482*b661
        - 0.000530929158456675*b662 - 0.000834689752132272*b663
        - 0.00130740519871793*b664 - 0.00207499053176952*b665
        - 0.00296091966008184*b666 - 0.00425447043519744*b667
        - 0.00636172512351933*b668 - 0.0082033581529802*b669
        - 0.0103147597436048*b670 - 0.0134370944342281*b671
        - 0.0170178817407898*b672 - 0.0210211504274062*b673
        - 0.026590440219984*b674 - 0.0328776781816867*b675
        - 0.0412590389744193*b676 - 0.0521982216738517*b677
        - 0.0663255868459265*b678 - 0.0841874260371767*b679
        - 0.106477402905515*b680 - 0.131510712726747*b681 =E= 0;

e236..    x120 - 0.000201061929829747*b682 - 0.000326851299679482*b683
        - 0.000530929158456675*b684 - 0.000834689752132272*b685
        - 0.00130740519871793*b686 - 0.00207499053176952*b687
        - 0.00296091966008184*b688 - 0.00425447043519744*b689
        - 0.00636172512351933*b690 - 0.0082033581529802*b691
        - 0.0103147597436048*b692 - 0.0134370944342281*b693
        - 0.0170178817407898*b694 - 0.0210211504274062*b695
        - 0.026590440219984*b696 - 0.0328776781816867*b697
        - 0.0412590389744193*b698 - 0.0521982216738517*b699
        - 0.0663255868459265*b700 - 0.0841874260371767*b701
        - 0.106477402905515*b702 - 0.131510712726747*b703 =E= 0;

e237..    x121 - 0.000201061929829747*b704 - 0.000326851299679482*b705
        - 0.000530929158456675*b706 - 0.000834689752132272*b707
        - 0.00130740519871793*b708 - 0.00207499053176952*b709
        - 0.00296091966008184*b710 - 0.00425447043519744*b711
        - 0.00636172512351933*b712 - 0.0082033581529802*b713
        - 0.0103147597436048*b714 - 0.0134370944342281*b715
        - 0.0170178817407898*b716 - 0.0210211504274062*b717
        - 0.026590440219984*b718 - 0.0328776781816867*b719
        - 0.0412590389744193*b720 - 0.0521982216738517*b721
        - 0.0663255868459265*b722 - 0.0841874260371767*b723
        - 0.106477402905515*b724 - 0.131510712726747*b725 =E= 0;

e238..    x122 - 0.000201061929829747*b726 - 0.000326851299679482*b727
        - 0.000530929158456675*b728 - 0.000834689752132272*b729
        - 0.00130740519871793*b730 - 0.00207499053176952*b731
        - 0.00296091966008184*b732 - 0.00425447043519744*b733
        - 0.00636172512351933*b734 - 0.0082033581529802*b735
        - 0.0103147597436048*b736 - 0.0134370944342281*b737
        - 0.0170178817407898*b738 - 0.0210211504274062*b739
        - 0.026590440219984*b740 - 0.0328776781816867*b741
        - 0.0412590389744193*b742 - 0.0521982216738517*b743
        - 0.0663255868459265*b744 - 0.0841874260371767*b745
        - 0.106477402905515*b746 - 0.131510712726747*b747 =E= 0;

e239..    x123 - 0.000201061929829747*b748 - 0.000326851299679482*b749
        - 0.000530929158456675*b750 - 0.000834689752132272*b751
        - 0.00130740519871793*b752 - 0.00207499053176952*b753
        - 0.00296091966008184*b754 - 0.00425447043519744*b755
        - 0.00636172512351933*b756 - 0.0082033581529802*b757
        - 0.0103147597436048*b758 - 0.0134370944342281*b759
        - 0.0170178817407898*b760 - 0.0210211504274062*b761
        - 0.026590440219984*b762 - 0.0328776781816867*b763
        - 0.0412590389744193*b764 - 0.0521982216738517*b765
        - 0.0663255868459265*b766 - 0.0841874260371767*b767
        - 0.106477402905515*b768 - 0.131510712726747*b769 =E= 0;

e240..    x124 - 0.000201061929829747*b770 - 0.000326851299679482*b771
        - 0.000530929158456675*b772 - 0.000834689752132272*b773
        - 0.00130740519871793*b774 - 0.00207499053176952*b775
        - 0.00296091966008184*b776 - 0.00425447043519744*b777
        - 0.00636172512351933*b778 - 0.0082033581529802*b779
        - 0.0103147597436048*b780 - 0.0134370944342281*b781
        - 0.0170178817407898*b782 - 0.0210211504274062*b783
        - 0.026590440219984*b784 - 0.0328776781816867*b785
        - 0.0412590389744193*b786 - 0.0521982216738517*b787
        - 0.0663255868459265*b788 - 0.0841874260371767*b789
        - 0.106477402905515*b790 - 0.131510712726747*b791 =E= 0;

e241..    x125 - 0.000201061929829747*b792 - 0.000326851299679482*b793
        - 0.000530929158456675*b794 - 0.000834689752132272*b795
        - 0.00130740519871793*b796 - 0.00207499053176952*b797
        - 0.00296091966008184*b798 - 0.00425447043519744*b799
        - 0.00636172512351933*b800 - 0.0082033581529802*b801
        - 0.0103147597436048*b802 - 0.0134370944342281*b803
        - 0.0170178817407898*b804 - 0.0210211504274062*b805
        - 0.026590440219984*b806 - 0.0328776781816867*b807
        - 0.0412590389744193*b808 - 0.0521982216738517*b809
        - 0.0663255868459265*b810 - 0.0841874260371767*b811
        - 0.106477402905515*b812 - 0.131510712726747*b813 =E= 0;

e242..    x126 - 0.000201061929829747*b814 - 0.000326851299679482*b815
        - 0.000530929158456675*b816 - 0.000834689752132272*b817
        - 0.00130740519871793*b818 - 0.00207499053176952*b819
        - 0.00296091966008184*b820 - 0.00425447043519744*b821
        - 0.00636172512351933*b822 - 0.0082033581529802*b823
        - 0.0103147597436048*b824 - 0.0134370944342281*b825
        - 0.0170178817407898*b826 - 0.0210211504274062*b827
        - 0.026590440219984*b828 - 0.0328776781816867*b829
        - 0.0412590389744193*b830 - 0.0521982216738517*b831
        - 0.0663255868459265*b832 - 0.0841874260371767*b833
        - 0.106477402905515*b834 - 0.131510712726747*b835 =E= 0;

e243..    x127 - 0.000201061929829747*b836 - 0.000326851299679482*b837
        - 0.000530929158456675*b838 - 0.000834689752132272*b839
        - 0.00130740519871793*b840 - 0.00207499053176952*b841
        - 0.00296091966008184*b842 - 0.00425447043519744*b843
        - 0.00636172512351933*b844 - 0.0082033581529802*b845
        - 0.0103147597436048*b846 - 0.0134370944342281*b847
        - 0.0170178817407898*b848 - 0.0210211504274062*b849
        - 0.026590440219984*b850 - 0.0328776781816867*b851
        - 0.0412590389744193*b852 - 0.0521982216738517*b853
        - 0.0663255868459265*b854 - 0.0841874260371767*b855
        - 0.106477402905515*b856 - 0.131510712726747*b857 =E= 0;

e244..    x128 - 0.000201061929829747*b858 - 0.000326851299679482*b859
        - 0.000530929158456675*b860 - 0.000834689752132272*b861
        - 0.00130740519871793*b862 - 0.00207499053176952*b863
        - 0.00296091966008184*b864 - 0.00425447043519744*b865
        - 0.00636172512351933*b866 - 0.0082033581529802*b867
        - 0.0103147597436048*b868 - 0.0134370944342281*b869
        - 0.0170178817407898*b870 - 0.0210211504274062*b871
        - 0.026590440219984*b872 - 0.0328776781816867*b873
        - 0.0412590389744193*b874 - 0.0521982216738517*b875
        - 0.0663255868459265*b876 - 0.0841874260371767*b877
        - 0.106477402905515*b878 - 0.131510712726747*b879 =E= 0;

e245..    x129 - 0.000201061929829747*b880 - 0.000326851299679482*b881
        - 0.000530929158456675*b882 - 0.000834689752132272*b883
        - 0.00130740519871793*b884 - 0.00207499053176952*b885
        - 0.00296091966008184*b886 - 0.00425447043519744*b887
        - 0.00636172512351933*b888 - 0.0082033581529802*b889
        - 0.0103147597436048*b890 - 0.0134370944342281*b891
        - 0.0170178817407898*b892 - 0.0210211504274062*b893
        - 0.026590440219984*b894 - 0.0328776781816867*b895
        - 0.0412590389744193*b896 - 0.0521982216738517*b897
        - 0.0663255868459265*b898 - 0.0841874260371767*b899
        - 0.106477402905515*b900 - 0.131510712726747*b901 =E= 0;

e246..    x130 - 0.000201061929829747*b902 - 0.000326851299679482*b903
        - 0.000530929158456675*b904 - 0.000834689752132272*b905
        - 0.00130740519871793*b906 - 0.00207499053176952*b907
        - 0.00296091966008184*b908 - 0.00425447043519744*b909
        - 0.00636172512351933*b910 - 0.0082033581529802*b911
        - 0.0103147597436048*b912 - 0.0134370944342281*b913
        - 0.0170178817407898*b914 - 0.0210211504274062*b915
        - 0.026590440219984*b916 - 0.0328776781816867*b917
        - 0.0412590389744193*b918 - 0.0521982216738517*b919
        - 0.0663255868459265*b920 - 0.0841874260371767*b921
        - 0.106477402905515*b922 - 0.131510712726747*b923 =E= 0;

e247..    x131 - 0.000201061929829747*b924 - 0.000326851299679482*b925
        - 0.000530929158456675*b926 - 0.000834689752132272*b927
        - 0.00130740519871793*b928 - 0.00207499053176952*b929
        - 0.00296091966008184*b930 - 0.00425447043519744*b931
        - 0.00636172512351933*b932 - 0.0082033581529802*b933
        - 0.0103147597436048*b934 - 0.0134370944342281*b935
        - 0.0170178817407898*b936 - 0.0210211504274062*b937
        - 0.026590440219984*b938 - 0.0328776781816867*b939
        - 0.0412590389744193*b940 - 0.0521982216738517*b941
        - 0.0663255868459265*b942 - 0.0841874260371767*b943
        - 0.106477402905515*b944 - 0.131510712726747*b945 =E= 0;

e248..    x132 - 0.000201061929829747*b946 - 0.000326851299679482*b947
        - 0.000530929158456675*b948 - 0.000834689752132272*b949
        - 0.00130740519871793*b950 - 0.00207499053176952*b951
        - 0.00296091966008184*b952 - 0.00425447043519744*b953
        - 0.00636172512351933*b954 - 0.0082033581529802*b955
        - 0.0103147597436048*b956 - 0.0134370944342281*b957
        - 0.0170178817407898*b958 - 0.0210211504274062*b959
        - 0.026590440219984*b960 - 0.0328776781816867*b961
        - 0.0412590389744193*b962 - 0.0521982216738517*b963
        - 0.0663255868459265*b964 - 0.0841874260371767*b965
        - 0.106477402905515*b966 - 0.131510712726747*b967 =E= 0;

e249..    x133 - 0.000201061929829747*b968 - 0.000326851299679482*b969
        - 0.000530929158456675*b970 - 0.000834689752132272*b971
        - 0.00130740519871793*b972 - 0.00207499053176952*b973
        - 0.00296091966008184*b974 - 0.00425447043519744*b975
        - 0.00636172512351933*b976 - 0.0082033581529802*b977
        - 0.0103147597436048*b978 - 0.0134370944342281*b979
        - 0.0170178817407898*b980 - 0.0210211504274062*b981
        - 0.026590440219984*b982 - 0.0328776781816867*b983
        - 0.0412590389744193*b984 - 0.0521982216738517*b985
        - 0.0663255868459265*b986 - 0.0841874260371767*b987
        - 0.106477402905515*b988 - 0.131510712726747*b989 =E= 0;

e250..    x134 - 0.000201061929829747*b990 - 0.000326851299679482*b991
        - 0.000530929158456675*b992 - 0.000834689752132272*b993
        - 0.00130740519871793*b994 - 0.00207499053176952*b995
        - 0.00296091966008184*b996 - 0.00425447043519744*b997
        - 0.00636172512351933*b998 - 0.0082033581529802*b999
        - 0.0103147597436048*b1000 - 0.0134370944342281*b1001
        - 0.0170178817407898*b1002 - 0.0210211504274062*b1003
        - 0.026590440219984*b1004 - 0.0328776781816867*b1005
        - 0.0412590389744193*b1006 - 0.0521982216738517*b1007
        - 0.0663255868459265*b1008 - 0.0841874260371767*b1009
        - 0.106477402905515*b1010 - 0.131510712726747*b1011 =E= 0;

e251..    x135 - 0.000201061929829747*b1012 - 0.000326851299679482*b1013
        - 0.000530929158456675*b1014 - 0.000834689752132272*b1015
        - 0.00130740519871793*b1016 - 0.00207499053176952*b1017
        - 0.00296091966008184*b1018 - 0.00425447043519744*b1019
        - 0.00636172512351933*b1020 - 0.0082033581529802*b1021
        - 0.0103147597436048*b1022 - 0.0134370944342281*b1023
        - 0.0170178817407898*b1024 - 0.0210211504274062*b1025
        - 0.026590440219984*b1026 - 0.0328776781816867*b1027
        - 0.0412590389744193*b1028 - 0.0521982216738517*b1029
        - 0.0663255868459265*b1030 - 0.0841874260371767*b1031
        - 0.106477402905515*b1032 - 0.131510712726747*b1033 =E= 0;

e252..    x136 - 0.000201061929829747*b1034 - 0.000326851299679482*b1035
        - 0.000530929158456675*b1036 - 0.000834689752132272*b1037
        - 0.00130740519871793*b1038 - 0.00207499053176952*b1039
        - 0.00296091966008184*b1040 - 0.00425447043519744*b1041
        - 0.00636172512351933*b1042 - 0.0082033581529802*b1043
        - 0.0103147597436048*b1044 - 0.0134370944342281*b1045
        - 0.0170178817407898*b1046 - 0.0210211504274062*b1047
        - 0.026590440219984*b1048 - 0.0328776781816867*b1049
        - 0.0412590389744193*b1050 - 0.0521982216738517*b1051
        - 0.0663255868459265*b1052 - 0.0841874260371767*b1053
        - 0.106477402905515*b1054 - 0.131510712726747*b1055 =E= 0;

e253..    x137 - 0.000201061929829747*b1056 - 0.000326851299679482*b1057
        - 0.000530929158456675*b1058 - 0.000834689752132272*b1059
        - 0.00130740519871793*b1060 - 0.00207499053176952*b1061
        - 0.00296091966008184*b1062 - 0.00425447043519744*b1063
        - 0.00636172512351933*b1064 - 0.0082033581529802*b1065
        - 0.0103147597436048*b1066 - 0.0134370944342281*b1067
        - 0.0170178817407898*b1068 - 0.0210211504274062*b1069
        - 0.026590440219984*b1070 - 0.0328776781816867*b1071
        - 0.0412590389744193*b1072 - 0.0521982216738517*b1073
        - 0.0663255868459265*b1074 - 0.0841874260371767*b1075
        - 0.106477402905515*b1076 - 0.131510712726747*b1077 =E= 0;

e254..    x138 - 0.000201061929829747*b1078 - 0.000326851299679482*b1079
        - 0.000530929158456675*b1080 - 0.000834689752132272*b1081
        - 0.00130740519871793*b1082 - 0.00207499053176952*b1083
        - 0.00296091966008184*b1084 - 0.00425447043519744*b1085
        - 0.00636172512351933*b1086 - 0.0082033581529802*b1087
        - 0.0103147597436048*b1088 - 0.0134370944342281*b1089
        - 0.0170178817407898*b1090 - 0.0210211504274062*b1091
        - 0.026590440219984*b1092 - 0.0328776781816867*b1093
        - 0.0412590389744193*b1094 - 0.0521982216738517*b1095
        - 0.0663255868459265*b1096 - 0.0841874260371767*b1097
        - 0.106477402905515*b1098 - 0.131510712726747*b1099 =E= 0;

e255..    x139 - 0.000201061929829747*b1100 - 0.000326851299679482*b1101
        - 0.000530929158456675*b1102 - 0.000834689752132272*b1103
        - 0.00130740519871793*b1104 - 0.00207499053176952*b1105
        - 0.00296091966008184*b1106 - 0.00425447043519744*b1107
        - 0.00636172512351933*b1108 - 0.0082033581529802*b1109
        - 0.0103147597436048*b1110 - 0.0134370944342281*b1111
        - 0.0170178817407898*b1112 - 0.0210211504274062*b1113
        - 0.026590440219984*b1114 - 0.0328776781816867*b1115
        - 0.0412590389744193*b1116 - 0.0521982216738517*b1117
        - 0.0663255868459265*b1118 - 0.0841874260371767*b1119
        - 0.106477402905515*b1120 - 0.131510712726747*b1121 =E= 0;

e256..    x140 - 0.000201061929829747*b1122 - 0.000326851299679482*b1123
        - 0.000530929158456675*b1124 - 0.000834689752132272*b1125
        - 0.00130740519871793*b1126 - 0.00207499053176952*b1127
        - 0.00296091966008184*b1128 - 0.00425447043519744*b1129
        - 0.00636172512351933*b1130 - 0.0082033581529802*b1131
        - 0.0103147597436048*b1132 - 0.0134370944342281*b1133
        - 0.0170178817407898*b1134 - 0.0210211504274062*b1135
        - 0.026590440219984*b1136 - 0.0328776781816867*b1137
        - 0.0412590389744193*b1138 - 0.0521982216738517*b1139
        - 0.0663255868459265*b1140 - 0.0841874260371767*b1141
        - 0.106477402905515*b1142 - 0.131510712726747*b1143 =E= 0;

e257..    x141 - 0.000201061929829747*b1144 - 0.000326851299679482*b1145
        - 0.000530929158456675*b1146 - 0.000834689752132272*b1147
        - 0.00130740519871793*b1148 - 0.00207499053176952*b1149
        - 0.00296091966008184*b1150 - 0.00425447043519744*b1151
        - 0.00636172512351933*b1152 - 0.0082033581529802*b1153
        - 0.0103147597436048*b1154 - 0.0134370944342281*b1155
        - 0.0170178817407898*b1156 - 0.0210211504274062*b1157
        - 0.026590440219984*b1158 - 0.0328776781816867*b1159
        - 0.0412590389744193*b1160 - 0.0521982216738517*b1161
        - 0.0663255868459265*b1162 - 0.0841874260371767*b1163
        - 0.106477402905515*b1164 - 0.131510712726747*b1165 =E= 0;

e258..    x142 - 0.000201061929829747*b1166 - 0.000326851299679482*b1167
        - 0.000530929158456675*b1168 - 0.000834689752132272*b1169
        - 0.00130740519871793*b1170 - 0.00207499053176952*b1171
        - 0.00296091966008184*b1172 - 0.00425447043519744*b1173
        - 0.00636172512351933*b1174 - 0.0082033581529802*b1175
        - 0.0103147597436048*b1176 - 0.0134370944342281*b1177
        - 0.0170178817407898*b1178 - 0.0210211504274062*b1179
        - 0.026590440219984*b1180 - 0.0328776781816867*b1181
        - 0.0412590389744193*b1182 - 0.0521982216738517*b1183
        - 0.0663255868459265*b1184 - 0.0841874260371767*b1185
        - 0.106477402905515*b1186 - 0.131510712726747*b1187 =E= 0;

e259..    x143 - 0.000201061929829747*b1188 - 0.000326851299679482*b1189
        - 0.000530929158456675*b1190 - 0.000834689752132272*b1191
        - 0.00130740519871793*b1192 - 0.00207499053176952*b1193
        - 0.00296091966008184*b1194 - 0.00425447043519744*b1195
        - 0.00636172512351933*b1196 - 0.0082033581529802*b1197
        - 0.0103147597436048*b1198 - 0.0134370944342281*b1199
        - 0.0170178817407898*b1200 - 0.0210211504274062*b1201
        - 0.026590440219984*b1202 - 0.0328776781816867*b1203
        - 0.0412590389744193*b1204 - 0.0521982216738517*b1205
        - 0.0663255868459265*b1206 - 0.0841874260371767*b1207
        - 0.106477402905515*b1208 - 0.131510712726747*b1209 =E= 0;

e260..    x144 - 0.000201061929829747*b1210 - 0.000326851299679482*b1211
        - 0.000530929158456675*b1212 - 0.000834689752132272*b1213
        - 0.00130740519871793*b1214 - 0.00207499053176952*b1215
        - 0.00296091966008184*b1216 - 0.00425447043519744*b1217
        - 0.00636172512351933*b1218 - 0.0082033581529802*b1219
        - 0.0103147597436048*b1220 - 0.0134370944342281*b1221
        - 0.0170178817407898*b1222 - 0.0210211504274062*b1223
        - 0.026590440219984*b1224 - 0.0328776781816867*b1225
        - 0.0412590389744193*b1226 - 0.0521982216738517*b1227
        - 0.0663255868459265*b1228 - 0.0841874260371767*b1229
        - 0.106477402905515*b1230 - 0.131510712726747*b1231 =E= 0;

e261..    x145 - 0.000201061929829747*b1232 - 0.000326851299679482*b1233
        - 0.000530929158456675*b1234 - 0.000834689752132272*b1235
        - 0.00130740519871793*b1236 - 0.00207499053176952*b1237
        - 0.00296091966008184*b1238 - 0.00425447043519744*b1239
        - 0.00636172512351933*b1240 - 0.0082033581529802*b1241
        - 0.0103147597436048*b1242 - 0.0134370944342281*b1243
        - 0.0170178817407898*b1244 - 0.0210211504274062*b1245
        - 0.026590440219984*b1246 - 0.0328776781816867*b1247
        - 0.0412590389744193*b1248 - 0.0521982216738517*b1249
        - 0.0663255868459265*b1250 - 0.0841874260371767*b1251
        - 0.106477402905515*b1252 - 0.131510712726747*b1253 =E= 0;

e262..    x146 - 0.000201061929829747*b1254 - 0.000326851299679482*b1255
        - 0.000530929158456675*b1256 - 0.000834689752132272*b1257
        - 0.00130740519871793*b1258 - 0.00207499053176952*b1259
        - 0.00296091966008184*b1260 - 0.00425447043519744*b1261
        - 0.00636172512351933*b1262 - 0.0082033581529802*b1263
        - 0.0103147597436048*b1264 - 0.0134370944342281*b1265
        - 0.0170178817407898*b1266 - 0.0210211504274062*b1267
        - 0.026590440219984*b1268 - 0.0328776781816867*b1269
        - 0.0412590389744193*b1270 - 0.0521982216738517*b1271
        - 0.0663255868459265*b1272 - 0.0841874260371767*b1273
        - 0.106477402905515*b1274 - 0.131510712726747*b1275 =E= 0;

e263..    x147 - 0.000201061929829747*b1276 - 0.000326851299679482*b1277
        - 0.000530929158456675*b1278 - 0.000834689752132272*b1279
        - 0.00130740519871793*b1280 - 0.00207499053176952*b1281
        - 0.00296091966008184*b1282 - 0.00425447043519744*b1283
        - 0.00636172512351933*b1284 - 0.0082033581529802*b1285
        - 0.0103147597436048*b1286 - 0.0134370944342281*b1287
        - 0.0170178817407898*b1288 - 0.0210211504274062*b1289
        - 0.026590440219984*b1290 - 0.0328776781816867*b1291
        - 0.0412590389744193*b1292 - 0.0521982216738517*b1293
        - 0.0663255868459265*b1294 - 0.0841874260371767*b1295
        - 0.106477402905515*b1296 - 0.131510712726747*b1297 =E= 0;

e264..    x148 - 0.000201061929829747*b1298 - 0.000326851299679482*b1299
        - 0.000530929158456675*b1300 - 0.000834689752132272*b1301
        - 0.00130740519871793*b1302 - 0.00207499053176952*b1303
        - 0.00296091966008184*b1304 - 0.00425447043519744*b1305
        - 0.00636172512351933*b1306 - 0.0082033581529802*b1307
        - 0.0103147597436048*b1308 - 0.0134370944342281*b1309
        - 0.0170178817407898*b1310 - 0.0210211504274062*b1311
        - 0.026590440219984*b1312 - 0.0328776781816867*b1313
        - 0.0412590389744193*b1314 - 0.0521982216738517*b1315
        - 0.0663255868459265*b1316 - 0.0841874260371767*b1317
        - 0.106477402905515*b1318 - 0.131510712726747*b1319 =E= 0;

e265..    x149 - 0.000201061929829747*b1320 - 0.000326851299679482*b1321
        - 0.000530929158456675*b1322 - 0.000834689752132272*b1323
        - 0.00130740519871793*b1324 - 0.00207499053176952*b1325
        - 0.00296091966008184*b1326 - 0.00425447043519744*b1327
        - 0.00636172512351933*b1328 - 0.0082033581529802*b1329
        - 0.0103147597436048*b1330 - 0.0134370944342281*b1331
        - 0.0170178817407898*b1332 - 0.0210211504274062*b1333
        - 0.026590440219984*b1334 - 0.0328776781816867*b1335
        - 0.0412590389744193*b1336 - 0.0521982216738517*b1337
        - 0.0663255868459265*b1338 - 0.0841874260371767*b1339
        - 0.106477402905515*b1340 - 0.131510712726747*b1341 =E= 0;

e266..    x150 - 0.000201061929829747*b1342 - 0.000326851299679482*b1343
        - 0.000530929158456675*b1344 - 0.000834689752132272*b1345
        - 0.00130740519871793*b1346 - 0.00207499053176952*b1347
        - 0.00296091966008184*b1348 - 0.00425447043519744*b1349
        - 0.00636172512351933*b1350 - 0.0082033581529802*b1351
        - 0.0103147597436048*b1352 - 0.0134370944342281*b1353
        - 0.0170178817407898*b1354 - 0.0210211504274062*b1355
        - 0.026590440219984*b1356 - 0.0328776781816867*b1357
        - 0.0412590389744193*b1358 - 0.0521982216738517*b1359
        - 0.0663255868459265*b1360 - 0.0841874260371767*b1361
        - 0.106477402905515*b1362 - 0.131510712726747*b1363 =E= 0;

e267..    x151 - 0.000201061929829747*b1364 - 0.000326851299679482*b1365
        - 0.000530929158456675*b1366 - 0.000834689752132272*b1367
        - 0.00130740519871793*b1368 - 0.00207499053176952*b1369
        - 0.00296091966008184*b1370 - 0.00425447043519744*b1371
        - 0.00636172512351933*b1372 - 0.0082033581529802*b1373
        - 0.0103147597436048*b1374 - 0.0134370944342281*b1375
        - 0.0170178817407898*b1376 - 0.0210211504274062*b1377
        - 0.026590440219984*b1378 - 0.0328776781816867*b1379
        - 0.0412590389744193*b1380 - 0.0521982216738517*b1381
        - 0.0663255868459265*b1382 - 0.0841874260371767*b1383
        - 0.106477402905515*b1384 - 0.131510712726747*b1385 =E= 0;

e268..    x152 - 0.000201061929829747*b1386 - 0.000326851299679482*b1387
        - 0.000530929158456675*b1388 - 0.000834689752132272*b1389
        - 0.00130740519871793*b1390 - 0.00207499053176952*b1391
        - 0.00296091966008184*b1392 - 0.00425447043519744*b1393
        - 0.00636172512351933*b1394 - 0.0082033581529802*b1395
        - 0.0103147597436048*b1396 - 0.0134370944342281*b1397
        - 0.0170178817407898*b1398 - 0.0210211504274062*b1399
        - 0.026590440219984*b1400 - 0.0328776781816867*b1401
        - 0.0412590389744193*b1402 - 0.0521982216738517*b1403
        - 0.0663255868459265*b1404 - 0.0841874260371767*b1405
        - 0.106477402905515*b1406 - 0.131510712726747*b1407 =E= 0;

e269..    x153 - 0.000201061929829747*b1408 - 0.000326851299679482*b1409
        - 0.000530929158456675*b1410 - 0.000834689752132272*b1411
        - 0.00130740519871793*b1412 - 0.00207499053176952*b1413
        - 0.00296091966008184*b1414 - 0.00425447043519744*b1415
        - 0.00636172512351933*b1416 - 0.0082033581529802*b1417
        - 0.0103147597436048*b1418 - 0.0134370944342281*b1419
        - 0.0170178817407898*b1420 - 0.0210211504274062*b1421
        - 0.026590440219984*b1422 - 0.0328776781816867*b1423
        - 0.0412590389744193*b1424 - 0.0521982216738517*b1425
        - 0.0663255868459265*b1426 - 0.0841874260371767*b1427
        - 0.106477402905515*b1428 - 0.131510712726747*b1429 =E= 0;

e270..    b154 + b155 + b156 + b157 + b158 + b159 + b160 + b161 + b162 + b163
        + b164 + b165 + b166 + b167 + b168 + b169 + b170 + b171 + b172 + b173
        + b174 + b175 =E= 1;

e271..    b176 + b177 + b178 + b179 + b180 + b181 + b182 + b183 + b184 + b185
        + b186 + b187 + b188 + b189 + b190 + b191 + b192 + b193 + b194 + b195
        + b196 + b197 =E= 1;

e272..    b198 + b199 + b200 + b201 + b202 + b203 + b204 + b205 + b206 + b207
        + b208 + b209 + b210 + b211 + b212 + b213 + b214 + b215 + b216 + b217
        + b218 + b219 =E= 1;

e273..    b220 + b221 + b222 + b223 + b224 + b225 + b226 + b227 + b228 + b229
        + b230 + b231 + b232 + b233 + b234 + b235 + b236 + b237 + b238 + b239
        + b240 + b241 =E= 1;

e274..    b242 + b243 + b244 + b245 + b246 + b247 + b248 + b249 + b250 + b251
        + b252 + b253 + b254 + b255 + b256 + b257 + b258 + b259 + b260 + b261
        + b262 + b263 =E= 1;

e275..    b264 + b265 + b266 + b267 + b268 + b269 + b270 + b271 + b272 + b273
        + b274 + b275 + b276 + b277 + b278 + b279 + b280 + b281 + b282 + b283
        + b284 + b285 =E= 1;

e276..    b286 + b287 + b288 + b289 + b290 + b291 + b292 + b293 + b294 + b295
        + b296 + b297 + b298 + b299 + b300 + b301 + b302 + b303 + b304 + b305
        + b306 + b307 =E= 1;

e277..    b308 + b309 + b310 + b311 + b312 + b313 + b314 + b315 + b316 + b317
        + b318 + b319 + b320 + b321 + b322 + b323 + b324 + b325 + b326 + b327
        + b328 + b329 =E= 1;

e278..    b330 + b331 + b332 + b333 + b334 + b335 + b336 + b337 + b338 + b339
        + b340 + b341 + b342 + b343 + b344 + b345 + b346 + b347 + b348 + b349
        + b350 + b351 =E= 1;

e279..    b352 + b353 + b354 + b355 + b356 + b357 + b358 + b359 + b360 + b361
        + b362 + b363 + b364 + b365 + b366 + b367 + b368 + b369 + b370 + b371
        + b372 + b373 =E= 1;

e280..    b374 + b375 + b376 + b377 + b378 + b379 + b380 + b381 + b382 + b383
        + b384 + b385 + b386 + b387 + b388 + b389 + b390 + b391 + b392 + b393
        + b394 + b395 =E= 1;

e281..    b396 + b397 + b398 + b399 + b400 + b401 + b402 + b403 + b404 + b405
        + b406 + b407 + b408 + b409 + b410 + b411 + b412 + b413 + b414 + b415
        + b416 + b417 =E= 1;

e282..    b418 + b419 + b420 + b421 + b422 + b423 + b424 + b425 + b426 + b427
        + b428 + b429 + b430 + b431 + b432 + b433 + b434 + b435 + b436 + b437
        + b438 + b439 =E= 1;

e283..    b440 + b441 + b442 + b443 + b444 + b445 + b446 + b447 + b448 + b449
        + b450 + b451 + b452 + b453 + b454 + b455 + b456 + b457 + b458 + b459
        + b460 + b461 =E= 1;

e284..    b462 + b463 + b464 + b465 + b466 + b467 + b468 + b469 + b470 + b471
        + b472 + b473 + b474 + b475 + b476 + b477 + b478 + b479 + b480 + b481
        + b482 + b483 =E= 1;

e285..    b484 + b485 + b486 + b487 + b488 + b489 + b490 + b491 + b492 + b493
        + b494 + b495 + b496 + b497 + b498 + b499 + b500 + b501 + b502 + b503
        + b504 + b505 =E= 1;

e286..    b506 + b507 + b508 + b509 + b510 + b511 + b512 + b513 + b514 + b515
        + b516 + b517 + b518 + b519 + b520 + b521 + b522 + b523 + b524 + b525
        + b526 + b527 =E= 1;

e287..    b528 + b529 + b530 + b531 + b532 + b533 + b534 + b535 + b536 + b537
        + b538 + b539 + b540 + b541 + b542 + b543 + b544 + b545 + b546 + b547
        + b548 + b549 =E= 1;

e288..    b550 + b551 + b552 + b553 + b554 + b555 + b556 + b557 + b558 + b559
        + b560 + b561 + b562 + b563 + b564 + b565 + b566 + b567 + b568 + b569
        + b570 + b571 =E= 1;

e289..    b572 + b573 + b574 + b575 + b576 + b577 + b578 + b579 + b580 + b581
        + b582 + b583 + b584 + b585 + b586 + b587 + b588 + b589 + b590 + b591
        + b592 + b593 =E= 1;

e290..    b594 + b595 + b596 + b597 + b598 + b599 + b600 + b601 + b602 + b603
        + b604 + b605 + b606 + b607 + b608 + b609 + b610 + b611 + b612 + b613
        + b614 + b615 =E= 1;

e291..    b616 + b617 + b618 + b619 + b620 + b621 + b622 + b623 + b624 + b625
        + b626 + b627 + b628 + b629 + b630 + b631 + b632 + b633 + b634 + b635
        + b636 + b637 =E= 1;

e292..    b638 + b639 + b640 + b641 + b642 + b643 + b644 + b645 + b646 + b647
        + b648 + b649 + b650 + b651 + b652 + b653 + b654 + b655 + b656 + b657
        + b658 + b659 =E= 1;

e293..    b660 + b661 + b662 + b663 + b664 + b665 + b666 + b667 + b668 + b669
        + b670 + b671 + b672 + b673 + b674 + b675 + b676 + b677 + b678 + b679
        + b680 + b681 =E= 1;

e294..    b682 + b683 + b684 + b685 + b686 + b687 + b688 + b689 + b690 + b691
        + b692 + b693 + b694 + b695 + b696 + b697 + b698 + b699 + b700 + b701
        + b702 + b703 =E= 1;

e295..    b704 + b705 + b706 + b707 + b708 + b709 + b710 + b711 + b712 + b713
        + b714 + b715 + b716 + b717 + b718 + b719 + b720 + b721 + b722 + b723
        + b724 + b725 =E= 1;

e296..    b726 + b727 + b728 + b729 + b730 + b731 + b732 + b733 + b734 + b735
        + b736 + b737 + b738 + b739 + b740 + b741 + b742 + b743 + b744 + b745
        + b746 + b747 =E= 1;

e297..    b748 + b749 + b750 + b751 + b752 + b753 + b754 + b755 + b756 + b757
        + b758 + b759 + b760 + b761 + b762 + b763 + b764 + b765 + b766 + b767
        + b768 + b769 =E= 1;

e298..    b770 + b771 + b772 + b773 + b774 + b775 + b776 + b777 + b778 + b779
        + b780 + b781 + b782 + b783 + b784 + b785 + b786 + b787 + b788 + b789
        + b790 + b791 =E= 1;

e299..    b792 + b793 + b794 + b795 + b796 + b797 + b798 + b799 + b800 + b801
        + b802 + b803 + b804 + b805 + b806 + b807 + b808 + b809 + b810 + b811
        + b812 + b813 =E= 1;

e300..    b814 + b815 + b816 + b817 + b818 + b819 + b820 + b821 + b822 + b823
        + b824 + b825 + b826 + b827 + b828 + b829 + b830 + b831 + b832 + b833
        + b834 + b835 =E= 1;

e301..    b836 + b837 + b838 + b839 + b840 + b841 + b842 + b843 + b844 + b845
        + b846 + b847 + b848 + b849 + b850 + b851 + b852 + b853 + b854 + b855
        + b856 + b857 =E= 1;

e302..    b858 + b859 + b860 + b861 + b862 + b863 + b864 + b865 + b866 + b867
        + b868 + b869 + b870 + b871 + b872 + b873 + b874 + b875 + b876 + b877
        + b878 + b879 =E= 1;

e303..    b880 + b881 + b882 + b883 + b884 + b885 + b886 + b887 + b888 + b889
        + b890 + b891 + b892 + b893 + b894 + b895 + b896 + b897 + b898 + b899
        + b900 + b901 =E= 1;

e304..    b902 + b903 + b904 + b905 + b906 + b907 + b908 + b909 + b910 + b911
        + b912 + b913 + b914 + b915 + b916 + b917 + b918 + b919 + b920 + b921
        + b922 + b923 =E= 1;

e305..    b924 + b925 + b926 + b927 + b928 + b929 + b930 + b931 + b932 + b933
        + b934 + b935 + b936 + b937 + b938 + b939 + b940 + b941 + b942 + b943
        + b944 + b945 =E= 1;

e306..    b946 + b947 + b948 + b949 + b950 + b951 + b952 + b953 + b954 + b955
        + b956 + b957 + b958 + b959 + b960 + b961 + b962 + b963 + b964 + b965
        + b966 + b967 =E= 1;

e307..    b968 + b969 + b970 + b971 + b972 + b973 + b974 + b975 + b976 + b977
        + b978 + b979 + b980 + b981 + b982 + b983 + b984 + b985 + b986 + b987
        + b988 + b989 =E= 1;

e308..    b990 + b991 + b992 + b993 + b994 + b995 + b996 + b997 + b998 + b999
        + b1000 + b1001 + b1002 + b1003 + b1004 + b1005 + b1006 + b1007 + b1008
        + b1009 + b1010 + b1011 =E= 1;

e309..    b1012 + b1013 + b1014 + b1015 + b1016 + b1017 + b1018 + b1019 + b1020
        + b1021 + b1022 + b1023 + b1024 + b1025 + b1026 + b1027 + b1028 + b1029
        + b1030 + b1031 + b1032 + b1033 =E= 1;

e310..    b1034 + b1035 + b1036 + b1037 + b1038 + b1039 + b1040 + b1041 + b1042
        + b1043 + b1044 + b1045 + b1046 + b1047 + b1048 + b1049 + b1050 + b1051
        + b1052 + b1053 + b1054 + b1055 =E= 1;

e311..    b1056 + b1057 + b1058 + b1059 + b1060 + b1061 + b1062 + b1063 + b1064
        + b1065 + b1066 + b1067 + b1068 + b1069 + b1070 + b1071 + b1072 + b1073
        + b1074 + b1075 + b1076 + b1077 =E= 1;

e312..    b1078 + b1079 + b1080 + b1081 + b1082 + b1083 + b1084 + b1085 + b1086
        + b1087 + b1088 + b1089 + b1090 + b1091 + b1092 + b1093 + b1094 + b1095
        + b1096 + b1097 + b1098 + b1099 =E= 1;

e313..    b1100 + b1101 + b1102 + b1103 + b1104 + b1105 + b1106 + b1107 + b1108
        + b1109 + b1110 + b1111 + b1112 + b1113 + b1114 + b1115 + b1116 + b1117
        + b1118 + b1119 + b1120 + b1121 =E= 1;

e314..    b1122 + b1123 + b1124 + b1125 + b1126 + b1127 + b1128 + b1129 + b1130
        + b1131 + b1132 + b1133 + b1134 + b1135 + b1136 + b1137 + b1138 + b1139
        + b1140 + b1141 + b1142 + b1143 =E= 1;

e315..    b1144 + b1145 + b1146 + b1147 + b1148 + b1149 + b1150 + b1151 + b1152
        + b1153 + b1154 + b1155 + b1156 + b1157 + b1158 + b1159 + b1160 + b1161
        + b1162 + b1163 + b1164 + b1165 =E= 1;

e316..    b1166 + b1167 + b1168 + b1169 + b1170 + b1171 + b1172 + b1173 + b1174
        + b1175 + b1176 + b1177 + b1178 + b1179 + b1180 + b1181 + b1182 + b1183
        + b1184 + b1185 + b1186 + b1187 =E= 1;

e317..    b1188 + b1189 + b1190 + b1191 + b1192 + b1193 + b1194 + b1195 + b1196
        + b1197 + b1198 + b1199 + b1200 + b1201 + b1202 + b1203 + b1204 + b1205
        + b1206 + b1207 + b1208 + b1209 =E= 1;

e318..    b1210 + b1211 + b1212 + b1213 + b1214 + b1215 + b1216 + b1217 + b1218
        + b1219 + b1220 + b1221 + b1222 + b1223 + b1224 + b1225 + b1226 + b1227
        + b1228 + b1229 + b1230 + b1231 =E= 1;

e319..    b1232 + b1233 + b1234 + b1235 + b1236 + b1237 + b1238 + b1239 + b1240
        + b1241 + b1242 + b1243 + b1244 + b1245 + b1246 + b1247 + b1248 + b1249
        + b1250 + b1251 + b1252 + b1253 =E= 1;

e320..    b1254 + b1255 + b1256 + b1257 + b1258 + b1259 + b1260 + b1261 + b1262
        + b1263 + b1264 + b1265 + b1266 + b1267 + b1268 + b1269 + b1270 + b1271
        + b1272 + b1273 + b1274 + b1275 =E= 1;

e321..    b1276 + b1277 + b1278 + b1279 + b1280 + b1281 + b1282 + b1283 + b1284
        + b1285 + b1286 + b1287 + b1288 + b1289 + b1290 + b1291 + b1292 + b1293
        + b1294 + b1295 + b1296 + b1297 =E= 1;

e322..    b1298 + b1299 + b1300 + b1301 + b1302 + b1303 + b1304 + b1305 + b1306
        + b1307 + b1308 + b1309 + b1310 + b1311 + b1312 + b1313 + b1314 + b1315
        + b1316 + b1317 + b1318 + b1319 =E= 1;

e323..    b1320 + b1321 + b1322 + b1323 + b1324 + b1325 + b1326 + b1327 + b1328
        + b1329 + b1330 + b1331 + b1332 + b1333 + b1334 + b1335 + b1336 + b1337
        + b1338 + b1339 + b1340 + b1341 =E= 1;

e324..    b1342 + b1343 + b1344 + b1345 + b1346 + b1347 + b1348 + b1349 + b1350
        + b1351 + b1352 + b1353 + b1354 + b1355 + b1356 + b1357 + b1358 + b1359
        + b1360 + b1361 + b1362 + b1363 =E= 1;

e325..    b1364 + b1365 + b1366 + b1367 + b1368 + b1369 + b1370 + b1371 + b1372
        + b1373 + b1374 + b1375 + b1376 + b1377 + b1378 + b1379 + b1380 + b1381
        + b1382 + b1383 + b1384 + b1385 =E= 1;

e326..    b1386 + b1387 + b1388 + b1389 + b1390 + b1391 + b1392 + b1393 + b1394
        + b1395 + b1396 + b1397 + b1398 + b1399 + b1400 + b1401 + b1402 + b1403
        + b1404 + b1405 + b1406 + b1407 =E= 1;

e327..    b1408 + b1409 + b1410 + b1411 + b1412 + b1413 + b1414 + b1415 + b1416
        + b1417 + b1418 + b1419 + b1420 + b1421 + b1422 + b1423 + b1424 + b1425
        + b1426 + b1427 + b1428 + b1429 =E= 1;

* set non-default bounds
x1.lo = 105.15; x1.up = 121;
x2.lo = 104.4; x2.up = 121;
x3.lo = 103.35; x3.up = 121;
x4.lo = 102.5; x4.up = 121;
x5.lo = 101.24; x5.up = 121;
x6.lo = 105.4; x6.up = 121;
x7.lo = 107.9; x7.up = 121;
x8.lo = 106.5; x8.up = 121;
x9.lo = 106; x9.up = 121;
x10.lo = 104.17; x10.up = 121;
x11.lo = 103.7; x11.up = 121;
x12.lo = 102.64; x12.up = 121;
x13.lo = 101.9; x13.up = 121;
x14.lo = 102.6; x14.up = 121;
x15.lo = 103.5; x15.up = 121;
x16.lo = 104.3; x16.up = 121;
x17.lo = 105.5; x17.up = 121;
x18.lo = 104.1; x18.up = 121;
x19.lo = 102.9; x19.up = 121;
x20.lo = 102.83; x20.up = 121;
x21.lo = 102.8; x21.up = 121;
x22.lo = 103.9; x22.up = 121;
x23.lo = 104.2; x23.up = 121;
x24.lo = 107.5; x24.up = 121;
x25.lo = 104.4; x25.up = 121;
x26.lo = 103.4; x26.up = 121;
x27.lo = 103.9; x27.up = 121;
x28.lo = 105.65; x28.up = 121;
x29.lo = 104.5; x29.up = 121;
x30.lo = 104.1; x30.up = 121;
x31.lo = 104.4; x31.up = 121;
x32.lo = 104.2; x32.up = 121;
x33.lo = 104.6; x33.up = 121;
x34.lo = 104.7; x34.up = 121;
x35.lo = 105.43; x35.up = 121;
x36.lo = 105.9; x36.up = 121;
x37.fx = 121;
x96.lo = 0.000201061929829747; x96.up = 0.131510712726747;
x97.lo = 0.000201061929829747; x97.up = 0.131510712726747;
x98.lo = 0.000201061929829747; x98.up = 0.131510712726747;
x99.lo = 0.000201061929829747; x99.up = 0.131510712726747;
x100.lo = 0.000201061929829747; x100.up = 0.131510712726747;
x101.lo = 0.000201061929829747; x101.up = 0.131510712726747;
x102.lo = 0.000201061929829747; x102.up = 0.131510712726747;
x103.lo = 0.000201061929829747; x103.up = 0.131510712726747;
x104.lo = 0.000201061929829747; x104.up = 0.131510712726747;
x105.lo = 0.000201061929829747; x105.up = 0.131510712726747;
x106.lo = 0.000201061929829747; x106.up = 0.131510712726747;
x107.lo = 0.000201061929829747; x107.up = 0.131510712726747;
x108.lo = 0.000201061929829747; x108.up = 0.131510712726747;
x109.lo = 0.000201061929829747; x109.up = 0.131510712726747;
x110.lo = 0.000201061929829747; x110.up = 0.131510712726747;
x111.lo = 0.000201061929829747; x111.up = 0.131510712726747;
x112.lo = 0.000201061929829747; x112.up = 0.131510712726747;
x113.lo = 0.000201061929829747; x113.up = 0.131510712726747;
x114.lo = 0.000201061929829747; x114.up = 0.131510712726747;
x115.lo = 0.000201061929829747; x115.up = 0.131510712726747;
x116.lo = 0.000201061929829747; x116.up = 0.131510712726747;
x117.lo = 0.000201061929829747; x117.up = 0.131510712726747;
x118.lo = 0.000201061929829747; x118.up = 0.131510712726747;
x119.lo = 0.000201061929829747; x119.up = 0.131510712726747;
x120.lo = 0.000201061929829747; x120.up = 0.131510712726747;
x121.lo = 0.000201061929829747; x121.up = 0.131510712726747;
x122.lo = 0.000201061929829747; x122.up = 0.131510712726747;
x123.lo = 0.000201061929829747; x123.up = 0.131510712726747;
x124.lo = 0.000201061929829747; x124.up = 0.131510712726747;
x125.lo = 0.000201061929829747; x125.up = 0.131510712726747;
x126.lo = 0.000201061929829747; x126.up = 0.131510712726747;
x127.lo = 0.000201061929829747; x127.up = 0.131510712726747;
x128.lo = 0.000201061929829747; x128.up = 0.131510712726747;
x129.lo = 0.000201061929829747; x129.up = 0.131510712726747;
x130.lo = 0.000201061929829747; x130.up = 0.131510712726747;
x131.lo = 0.000201061929829747; x131.up = 0.131510712726747;
x132.lo = 0.000201061929829747; x132.up = 0.131510712726747;
x133.lo = 0.000201061929829747; x133.up = 0.131510712726747;
x134.lo = 0.000201061929829747; x134.up = 0.131510712726747;
x135.lo = 0.000201061929829747; x135.up = 0.131510712726747;
x136.lo = 0.000201061929829747; x136.up = 0.131510712726747;
x137.lo = 0.000201061929829747; x137.up = 0.131510712726747;
x138.lo = 0.000201061929829747; x138.up = 0.131510712726747;
x139.lo = 0.000201061929829747; x139.up = 0.131510712726747;
x140.lo = 0.000201061929829747; x140.up = 0.131510712726747;
x141.lo = 0.000201061929829747; x141.up = 0.131510712726747;
x142.lo = 0.000201061929829747; x142.up = 0.131510712726747;
x143.lo = 0.000201061929829747; x143.up = 0.131510712726747;
x144.lo = 0.000201061929829747; x144.up = 0.131510712726747;
x145.lo = 0.000201061929829747; x145.up = 0.131510712726747;
x146.lo = 0.000201061929829747; x146.up = 0.131510712726747;
x147.lo = 0.000201061929829747; x147.up = 0.131510712726747;
x148.lo = 0.000201061929829747; x148.up = 0.131510712726747;
x149.lo = 0.000201061929829747; x149.up = 0.131510712726747;
x150.lo = 0.000201061929829747; x150.up = 0.131510712726747;
x151.lo = 0.000201061929829747; x151.up = 0.131510712726747;
x152.lo = 0.000201061929829747; x152.up = 0.131510712726747;
x153.lo = 0.000201061929829747; x153.up = 0.131510712726747;

Model m / all /;

m.limrow=0; m.limcol=0;
m.tolproj=0.0;

$if NOT '%gams.u1%' == '' $include '%gams.u1%'

$if not set MINLP $set MINLP MINLP
Solve m using %MINLP% minimizing objvar;


Last updated: 2022-08-11 Git hash: f176bd52
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