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A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance waternd_pescara

Formats ams gms osil py
Primal Bounds (infeas ≤ 1e-08)
2057196.94600000 p1 ( gdx sol )
(infeas: 4e-10)
1837440.41000000 p2 ( gdx sol )
(infeas: 2e-09)
Other points (infeas > 1e-08)  
Dual Bounds
1570815.67100000 (COUENNE)
1611979.02100000 (LINDO)
1837440.41000000 (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 1556
#Binary Variables 1287
#Integer Variables 0
#Nonlinear Variables 269
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 1287
#Nonlinear Nonzeros in Objective 0
#Constraints 563
#Linear Constraints 464
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 99
Operands in Gen. Nonlin. Functions mul signpower vcpower
Constraints curvature indefinite
#Nonzeros in Jacobian 3658
#Nonlinear Nonzeros in Jacobian 396
#Nonzeros in (Upper-Left) Hessian of Lagrangian 594
#Nonzeros in Diagonal of Hessian of Lagrangian 198
#Blocks in Hessian of Lagrangian 100
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 170
Average blocksize in Hessian of Lagrangian 2.69
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 7.8540e-03
Maximal coefficient 9.0310e+05
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
*        564      366       99       99        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*       1557      270     1287        0        0        0        0        0
*  FX      3
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       4946     4550      396        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,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,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
          ,b1430,b1431,b1432,b1433,b1434,b1435,b1436,b1437,b1438,b1439,b1440
          ,b1441,b1442,b1443,b1444,b1445,b1446,b1447,b1448,b1449,b1450,b1451
          ,b1452,b1453,b1454,b1455,b1456,b1457,b1458,b1459,b1460,b1461,b1462
          ,b1463,b1464,b1465,b1466,b1467,b1468,b1469,b1470,b1471,b1472,b1473
          ,b1474,b1475,b1476,b1477,b1478,b1479,b1480,b1481,b1482,b1483,b1484
          ,b1485,b1486,b1487,b1488,b1489,b1490,b1491,b1492,b1493,b1494,b1495
          ,b1496,b1497,b1498,b1499,b1500,b1501,b1502,b1503,b1504,b1505,b1506
          ,b1507,b1508,b1509,b1510,b1511,b1512,b1513,b1514,b1515,b1516,b1517
          ,b1518,b1519,b1520,b1521,b1522,b1523,b1524,b1525,b1526,b1527,b1528
          ,b1529,b1530,b1531,b1532,b1533,b1534,b1535,b1536,b1537,b1538,b1539
          ,b1540,b1541,b1542,b1543,b1544,b1545,b1546,b1547,b1548,b1549,b1550
          ,b1551,b1552,b1553,b1554,b1555,b1556,objvar;

Binary Variables  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,b1430,b1431,b1432,b1433,b1434,b1435,b1436
          ,b1437,b1438,b1439,b1440,b1441,b1442,b1443,b1444,b1445,b1446,b1447
          ,b1448,b1449,b1450,b1451,b1452,b1453,b1454,b1455,b1456,b1457,b1458
          ,b1459,b1460,b1461,b1462,b1463,b1464,b1465,b1466,b1467,b1468,b1469
          ,b1470,b1471,b1472,b1473,b1474,b1475,b1476,b1477,b1478,b1479,b1480
          ,b1481,b1482,b1483,b1484,b1485,b1486,b1487,b1488,b1489,b1490,b1491
          ,b1492,b1493,b1494,b1495,b1496,b1497,b1498,b1499,b1500,b1501,b1502
          ,b1503,b1504,b1505,b1506,b1507,b1508,b1509,b1510,b1511,b1512,b1513
          ,b1514,b1515,b1516,b1517,b1518,b1519,b1520,b1521,b1522,b1523,b1524
          ,b1525,b1526,b1527,b1528,b1529,b1530,b1531,b1532,b1533,b1534,b1535
          ,b1536,b1537,b1538,b1539,b1540,b1541,b1542,b1543,b1544,b1545,b1546
          ,b1547,b1548,b1549,b1550,b1551,b1552,b1553,b1554,b1555,b1556;

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,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514,e515,e516,e517,e518,e519
          ,e520,e521,e522,e523,e524,e525,e526,e527,e528,e529,e530,e531,e532
          ,e533,e534,e535,e536,e537,e538,e539,e540,e541,e542,e543,e544,e545
          ,e546,e547,e548,e549,e550,e551,e552,e553,e554,e555,e556,e557,e558
          ,e559,e560,e561,e562,e563,e564;


e1..  - 27072.872*b270 - 37139.68*b271 - 39583.08*b272 - 54145.744*b273
      - 73302*b274 - 90308.064*b275 - 120313.016*b276 - 138687.384*b277
      - 165467.048*b278 - 187164.44*b279 - 240430.56*b280 - 312364.256*b281
      - 382245.496*b282 - 5367.706*b283 - 7363.64*b284 - 7848.09*b285
      - 10735.412*b286 - 14533.5*b287 - 17905.272*b288 - 23854.318*b289
      - 27497.382*b290 - 32806.954*b291 - 37108.87*b292 - 47669.88*b293
      - 61932.088*b294 - 75787.358*b295 - 7468.197*b296 - 10245.18*b297
      - 10919.205*b298 - 14936.394*b299 - 20220.75*b300 - 24911.964*b301
      - 33188.991*b302 - 38257.659*b303 - 45644.973*b304 - 51630.315*b305
      - 66324.06*b306 - 86167.356*b307 - 105444.471*b308 - 12275.809*b309
      - 16840.46*b310 - 17948.385*b311 - 24551.618*b312 - 33237.75*b313
      - 40948.908*b314 - 54554.227*b315 - 62885.823*b316 - 75028.681*b317
      - 84867.055*b318 - 109019.82*b319 - 141637.132*b320 - 173323.787*b321
      - 39078.329*b322 - 53609.26*b323 - 57136.185*b324 - 78156.658*b325
      - 105807.75*b326 - 130355.148*b327 - 173665.787*b328 - 200188.263*b329
      - 238843.361*b330 - 270162.455*b331 - 347049.42*b332 - 450882.092*b333
      - 551752.147*b334 - 20302.161*b335 - 27851.34*b336 - 29683.665*b337
      - 40604.322*b338 - 54969.75*b339 - 67722.732*b340 - 90223.683*b341
      - 104002.767*b342 - 124085.049*b343 - 140356.095*b344 - 180300.78*b345
      - 234244.428*b346 - 286648.923*b347 - 44320*b348 - 60800*b349
      - 64800*b350 - 88640*b351 - 120000*b352 - 147840*b353 - 196960*b354
      - 227040*b355 - 270880*b356 - 306400*b357 - 393600*b358 - 511360*b359
      - 625760*b360 - 3227.604*b361 - 4427.76*b362 - 4719.06*b363
      - 6455.208*b364 - 8739*b365 - 10766.448*b366 - 14343.612*b367
      - 16534.188*b368 - 19726.836*b369 - 22313.58*b370 - 28663.92*b371
      - 37239.792*b372 - 45570.972*b373 - 5624.762*b374 - 7716.28*b375
      - 8223.93*b376 - 11249.524*b377 - 15229.5*b378 - 18762.744*b379
      - 24996.686*b380 - 28814.214*b381 - 34378.058*b382 - 38885.99*b383
      - 49952.76*b384 - 64897.976*b385 - 79416.766*b386 - 19968.93*b387
      - 27394.2*b388 - 29196.45*b389 - 39937.86*b390 - 54067.5*b391
      - 66611.16*b392 - 88742.79*b393 - 102295.71*b394 - 122048.37*b395
      - 138052.35*b396 - 177341.4*b397 - 230399.64*b398 - 281943.99*b399
      - 63963.178*b400 - 87747.32*b401 - 93520.17*b402 - 127926.356*b403
      - 173185.5*b404 - 213364.536*b405 - 284255.134*b406 - 327666.966*b407
      - 390937.402*b408 - 442200.31*b409 - 568048.44*b410 - 738001.144*b411
      - 903104.654*b412 - 15348.016*b413 - 21055.04*b414 - 22440.24*b415
      - 30696.032*b416 - 41556*b417 - 51196.992*b418 - 68207.248*b419
      - 78623.952*b420 - 93805.744*b421 - 106106.32*b422 - 136303.68*b423
      - 177083.968*b424 - 216700.688*b425 - 40995.446*b426 - 56239.24*b427
      - 59939.19*b428 - 81990.892*b429 - 110998.5*b430 - 136750.152*b431
      - 182185.538*b432 - 210009.162*b433 - 250560.614*b434 - 283416.17*b435
      - 364075.08*b436 - 473001.608*b437 - 578820.178*b438 - 33715.609*b439
      - 46252.46*b440 - 49295.385*b441 - 67431.218*b442 - 91287.75*b443
      - 112466.508*b444 - 149833.627*b445 - 172716.423*b446 - 206066.881*b447
      - 233088.055*b448 - 299423.82*b449 - 389007.532*b450 - 476035.187*b451
      - 16319.732*b452 - 22388.08*b453 - 23860.98*b454 - 32639.464*b455
      - 44187*b456 - 54438.384*b457 - 72525.596*b458 - 83601.804*b459
      - 99744.788*b460 - 112824.14*b461 - 144933.36*b462 - 188295.536*b463
      - 230420.476*b464 - 4737.808*b465 - 6499.52*b466 - 6927.12*b467
      - 9475.616*b468 - 12828*b469 - 15804.096*b470 - 21055.024*b471
      - 24270.576*b472 - 28957.072*b473 - 32754.16*b474 - 42075.84*b475
      - 54664.384*b476 - 66893.744*b477 - 1217.969*b478 - 1670.86*b479
      - 1780.785*b480 - 2435.938*b481 - 3297.75*b482 - 4062.828*b483
      - 5412.707*b484 - 6239.343*b485 - 7444.121*b486 - 8420.255*b487
      - 10816.62*b488 - 14052.812*b489 - 17196.667*b490 - 17133.281*b491
      - 23504.14*b492 - 25050.465*b493 - 34266.562*b494 - 46389.75*b495
      - 57152.172*b496 - 76141.043*b497 - 87769.407*b498 - 104717.129*b499
      - 118448.495*b500 - 152158.38*b501 - 197682.188*b502 - 241907.083*b503
      - 9448.47*b504 - 12961.8*b505 - 13814.55*b506 - 18896.94*b507
      - 25582.5*b508 - 31517.64*b509 - 41989.41*b510 - 48402.09*b511
      - 57748.23*b512 - 65320.65*b513 - 83910.6*b514 - 109015.56*b515
      - 133404.21*b516 - 16875.671*b517 - 23150.74*b518 - 24673.815*b519
      - 33751.342*b520 - 45692.25*b521 - 56292.852*b522 - 74996.213*b523
      - 86449.737*b524 - 103142.639*b525 - 116667.545*b526 - 149870.58*b527
      - 194709.908*b528 - 238269.853*b529 - 1532.364*b530 - 2102.16*b531
      - 2240.46*b532 - 3064.728*b533 - 4149*b534 - 5111.568*b535
      - 6809.892*b536 - 7849.908*b537 - 9365.676*b538 - 10593.78*b539
      - 13608.72*b540 - 17680.272*b541 - 21635.652*b542 - 9471.184*b543
      - 12992.96*b544 - 13847.76*b545 - 18942.368*b546 - 25644*b547
      - 31593.408*b548 - 42090.352*b549 - 48518.448*b550 - 57887.056*b551
      - 65477.68*b552 - 84112.32*b553 - 109277.632*b554 - 133724.912*b555
      - 23365.504*b556 - 32053.76*b557 - 34162.56*b558 - 46731.008*b559
      - 63264*b560 - 77941.248*b561 - 103837.312*b562 - 119695.488*b563
      - 142807.936*b564 - 161534.08*b565 - 207505.92*b566 - 269588.992*b567
      - 329900.672*b568 - 12028.448*b569 - 16501.12*b570 - 17586.72*b571
      - 24056.896*b572 - 32568*b573 - 40123.776*b574 - 53454.944*b575
      - 61618.656*b576 - 73516.832*b577 - 83156.96*b578 - 106823.04*b579
      - 138783.104*b580 - 169831.264*b581 - 20767.798*b582 - 28490.12*b583
      - 30364.47*b584 - 41535.596*b585 - 56230.5*b586 - 69275.976*b587
      - 92292.994*b588 - 106388.106*b589 - 126930.982*b590 - 143575.21*b591
      - 184436.04*b592 - 239616.904*b593 - 293223.314*b594 - 6664.343*b595
      - 9142.42*b596 - 9743.895*b597 - 13328.686*b598 - 18044.25*b599
      - 22230.516*b600 - 29616.629*b601 - 34139.721*b602 - 40731.887*b603
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      - 181606.417*b1448 - 205420.135*b1449 - 263881.74*b1450
      - 342831.724*b1451 - 419529.059*b1452 - 138.5*b1453 - 190*b1454
      - 202.5*b1455 - 277*b1456 - 375*b1457 - 462*b1458 - 615.5*b1459
      - 709.5*b1460 - 846.5*b1461 - 957.5*b1462 - 1230*b1463 - 1598*b1464
      - 1955.5*b1465 - 6649.385*b1466 - 9121.9*b1467 - 9722.025*b1468
      - 13298.77*b1469 - 18003.75*b1470 - 22180.62*b1471 - 29550.155*b1472
      - 34063.095*b1473 - 40640.465*b1474 - 45969.575*b1475 - 59052.3*b1476
      - 76719.98*b1477 - 93883.555*b1478 - 6648*b1479 - 9120*b1480 - 9720*b1481
      - 13296*b1482 - 18000*b1483 - 22176*b1484 - 29544*b1485 - 34056*b1486
      - 40632*b1487 - 45960*b1488 - 59040*b1489 - 76704*b1490 - 93864*b1491
      - 3139.795*b1492 - 4307.3*b1493 - 4590.675*b1494 - 6279.59*b1495
      - 8501.25*b1496 - 10473.54*b1497 - 13953.385*b1498 - 16084.365*b1499
      - 19190.155*b1500 - 21706.525*b1501 - 27884.1*b1502 - 36226.66*b1503
      - 44331.185*b1504 - 45308.613*b1505 - 62156.22*b1506 - 66245.445*b1507
      - 90617.226*b1508 - 122676.75*b1509 - 151137.756*b1510 - 201353.439*b1511
      - 232104.411*b1512 - 276922.317*b1513 - 313234.635*b1514
      - 402379.74*b1515 - 522766.524*b1516 - 639718.359*b1517 - 9003.331*b1518
      - 12351.14*b1519 - 13163.715*b1520 - 18006.662*b1521 - 24377.25*b1522
      - 30032.772*b1523 - 40011.193*b1524 - 46121.757*b1525 - 55027.579*b1526
      - 62243.245*b1527 - 79957.38*b1528 - 103879.588*b1529 - 127119.233*b1530
      - 4177.714*b1531 - 5731.16*b1532 - 6108.21*b1533 - 8355.428*b1534
      - 11311.5*b1535 - 13935.768*b1536 - 18565.942*b1537 - 21401.358*b1538
      - 25533.826*b1539 - 28882.03*b1540 - 37101.72*b1541 - 48202.072*b1542
      - 58985.702*b1543 - 9179.78*b1544 - 12593.2*b1545 - 13421.7*b1546
      - 18359.56*b1547 - 24855*b1548 - 30621.36*b1549 - 40795.34*b1550
      - 47025.66*b1551 - 56106.02*b1552 - 63463.1*b1553 - 81524.4*b1554
      - 105915.44*b1555 - 129610.54*b1556 + objvar =E= 0;

e2..    x72 - x74 =E= -0.01001;

e3..  - x72 + x73 - x158 =E= -0.01243;

e4..    x74 + x75 + x76 =E= -0.0085;

e5..  - x73 - x75 + x77 =E= -0.0085;

e6..  - x76 + x78 - x157 =E= -0.01212;

e7..    x79 + x80 - x82 - x160 =E= -0.00163;

e8..  - x79 =E= 0;

e9..  - x80 + x81 - x162 =E= -0.0336;

e10..    x82 + x83 - x115 =E= -0.00438;

e11..    x84 =E= -0.0164;

e12..  - x84 - x112 - x126 =E= -0.02977;

e13..    x85 - x102 =E= -0.00049;

e14..    x86 - x89 =E= -0.00749;

e15..    x87 - x88 =E= -0.00606;

e16..  - x86 - x100 - x103 =E= -0.00277;

e17..    x89 + x90 - x93 =E= -0.00503;

e18..  - x90 + x91 + x92 =E= -0.00481;

e19..  - x91 + x93 + x94 - x95 =E= -0.02104;

e20..    x95 + x96 - x99 =E= -0.01694;

e21..  - x96 + x97 + x98 =E= -0.01041;

e22..  - x97 + x99 - x106 =E= -0.00217;

e23..  - x87 + x100 + x101 =E= -0.00655;

e24..  - x101 + x102 - x118 =E= -0.01041;

e25..    x103 + x104 + x105 =E= -0.00278;

e26..  - x94 - x104 + x106 =E= -0.00532;

e27..    x107 + x108 - x110 =E= -0.00363;

e28..  - x81 - x107 + x109 =E= -0.033;

e29..  - x108 + x110 + x111 - x116 =E= -0.006;

e30..    x112 + x113 - x120 =E= -0.0064;

e31..  - x113 + x114 - x133 =E= -0.00296;

e32..  - x111 + x115 - x125 =E= -0.00309;

e33..    x116 + x117 - x122 =E= -0.00309;

e34..  - x109 + x118 + x119 =E= -0.00879;

e35..  - x119 =E= -0.00168;

e36..    x120 + x121 =E= -0.01264;

e37..  - x92 - x121 =E= -0.01264;

e38..  - x85 + x122 - x123 =E= -0.01264;

e39..  - x83 + x123 + x124 =E= -0.00556;

e40..  - x117 - x124 + x125 =E= -0.0026;

e41..    x126 - x127 - x129 =E= -0.00457;

e42..    x129 + x130 - x149 =E= -0.00756;

e43..    x131 + x132 - x167 =E= -0.00621;

e44..  - x131 + x133 - x137 =E= -0.00309;

e45..    x134 - x150 =E= -0.00059;

e46..  - x134 + x135 - x139 =E= -0.01263;

e47..  - x114 - x135 + x136 =E= -0.00341;

e48..  - x136 + x137 + x138 - x141 =E= -0.01321;

e49..  - x138 + x139 + x140 - x168 =E= -0.00387;

e50..  - x132 + x141 + x142 =E= -0.00643;

e51..  - x140 - x142 - x170 =E= -0.00255;

e52..    x143 + x144 =E= 0;

e53..  - x143 + x145 + x146 + x147 + x148 =E= -0.0113;

e54..    x149 + x150 - x151 =E= -0.00399;

e55..  - x130 + x151 - x152 =E= -0.00775;

e56..    x152 + x153 - x159 =E= -0.00191;

e57..  - x77 + x154 + x155 =E= -0.00088;

e58..  - x153 - x154 + x156 =E= -0.00514;

e59..  - x145 - x156 + x157 =E= -0.00514;

e60..  - x155 + x158 + x159 =E= -0.00744;

e61..  - x161 + x162 =E= 0;

e62..    x163 + x164 =E= -5E-6;

e63..  - x105 - x163 + x165 =E= 0;

e64..  - x144 + x166 =E= -0.00054;

e65..  - x98 - x164 - x165 =E= -0.00037;

e66..  - x78 - x146 + x167 =E= -0.00646;

e67..  - x128 =E= -0.025;

e68..  - x147 - x166 + x168 + x169 =E= -0.00215;

e69..  - x148 - x169 + x170 =E= -0.00175;

e70.. SignPower(x72,1.852) - 0.786293616578897*(1.27323954473516*x171)**2.435*(
      x1 - x2) =E= 0;

e71.. SignPower(x73,1.852) - 3.96579589792316*(1.27323954473516*x172)**2.435*(
      x2 - x4) =E= 0;

e72.. SignPower(x74,1.852) - 2.85038362486388*(1.27323954473516*x173)**2.435*(
      x3 - x1) =E= 0;

e73.. SignPower(x75,1.852) - 1.73407931290374*(1.27323954473516*x174)**2.435*(
      x3 - x4) =E= 0;

e74.. SignPower(x76,1.852) - 0.544732259049704*(1.27323954473516*x175)**2.435*(
      x3 - x5) =E= 0;

e75.. SignPower(x77,1.852) - 1.0485202258054*(1.27323954473516*x176)**2.435*(x4
       - x58) =E= 0;

e76.. SignPower(x78,1.852) - 0.480307455687219*(1.27323954473516*x177)**2.435*(
      x5 - x68) =E= 0;

e77.. SignPower(x79,1.852) - 6.59536499398859*(1.27323954473516*x178)**2.435*(
      x6 - x7) =E= 0;

e78.. SignPower(x80,1.852) - 3.78455593962154*(1.27323954473516*x179)**2.435*(
      x6 - x8) =E= 0;

e79.. SignPower(x81,1.852) - 1.0660173798024*(1.27323954473516*x180)**2.435*(x8
       - x28) =E= 0;

e80.. SignPower(x82,1.852) - 0.332804389989152*(1.27323954473516*x181)**2.435*(
      x9 - x6) =E= 0;

e81.. SignPower(x83,1.852) - 1.38696926274103*(1.27323954473516*x182)**2.435*(
      x9 - x39) =E= 0;

e82.. SignPower(x84,1.852) - 0.519258320449973*(1.27323954473516*x183)**2.435*(
      x10 - x11) =E= 0;

e83.. SignPower(x85,1.852) - 0.631376002612248*(1.27323954473516*x184)**2.435*(
      x12 - x38) =E= 0;

e84.. SignPower(x86,1.852) - 1.30438578501519*(1.27323954473516*x185)**2.435*(
      x13 - x16) =E= 0;

e85.. SignPower(x87,1.852) - 4.49305384178876*(1.27323954473516*x186)**2.435*(
      x14 - x23) =E= 0;

e86.. SignPower(x88,1.852) - 17.477642235605*(1.27323954473516*x187)**2.435*(
      x15 - x14) =E= 0;

e87.. SignPower(x89,1.852) - 1.24244891775589*(1.27323954473516*x188)**2.435*(
      x17 - x13) =E= 0;

e88.. SignPower(x90,1.852) - 2.25298132248476*(1.27323954473516*x189)**2.435*(
      x17 - x18) =E= 0;

e89.. SignPower(x91,1.852) - 1.26141511268248*(1.27323954473516*x190)**2.435*(
      x18 - x19) =E= 0;

e90.. SignPower(x92,1.852) - 13.8917557682493*(1.27323954473516*x191)**2.435*(
      x18 - x37) =E= 0;

e91.. SignPower(x93,1.852) - 2.24757817354805*(1.27323954473516*x192)**2.435*(
      x19 - x17) =E= 0;

e92.. SignPower(x94,1.852) - 0.911053595764831*(1.27323954473516*x193)**2.435*(
      x19 - x26) =E= 0;

e93.. SignPower(x95,1.852) - 1.76974007253949*(1.27323954473516*x194)**2.435*(
      x20 - x19) =E= 0;

e94.. SignPower(x96,1.852) - 1.02501124269687*(1.27323954473516*x195)**2.435*(
      x20 - x21) =E= 0;

e95.. SignPower(x97,1.852) - 3.19419730287855*(1.27323954473516*x196)**2.435*(
      x21 - x22) =E= 0;

e96.. SignPower(x98,1.852) - 0.913099496333959*(1.27323954473516*x197)**2.435*(
      x21 - x67) =E= 0;

e97.. SignPower(x99,1.852) - 1.20133176348218*(1.27323954473516*x198)**2.435*(
      x22 - x20) =E= 0;

e98.. SignPower(x100,1.852) - 3.26226569214904*(1.27323954473516*x199)**2.435*(
      x23 - x16) =E= 0;

e99.. SignPower(x101,1.852) - 0.802652833701903*(1.27323954473516*x200)**2.435*
      (x23 - x24) =E= 0;

e100.. SignPower(x102,1.852) - 2.10073787408985*(1.27323954473516*x201)**2.435*
       (x24 - x12) =E= 0;

e101.. SignPower(x103,1.852) - 214.064604206003*(1.27323954473516*x202)**2.435*
       (x25 - x16) =E= 0;

e102.. SignPower(x104,1.852) - 2.36925616321233*(1.27323954473516*x203)**2.435*
       (x25 - x26) =E= 0;

e103.. SignPower(x105,1.852) - 1.27745591459083*(1.27323954473516*x204)**2.435*
       (x25 - x65) =E= 0;

e104.. SignPower(x106,1.852) - 1.81698056294964*(1.27323954473516*x205)**2.435*
       (x26 - x22) =E= 0;

e105.. SignPower(x107,1.852) - 4.29229182919767*(1.27323954473516*x206)**2.435*
       (x27 - x28) =E= 0;

e106.. SignPower(x108,1.852) - 1.34610602399641*(1.27323954473516*x207)**2.435*
       (x27 - x29) =E= 0;

e107.. SignPower(x109,1.852) - 23.1125392210391*(1.27323954473516*x208)**2.435*
       (x28 - x34) =E= 0;

e108.. SignPower(x110,1.852) - 1.33481307053576*(1.27323954473516*x209)**2.435*
       (x29 - x27) =E= 0;

e109.. SignPower(x111,1.852) - 1.73823692994854*(1.27323954473516*x210)**2.435*
       (x29 - x32) =E= 0;

e110.. SignPower(x112,1.852) - 0.403672713906527*(1.27323954473516*x211)**2.435
       *(x30 - x11) =E= 0;

e111.. SignPower(x113,1.852) - 3.07052872422707*(1.27323954473516*x212)**2.435*
       (x30 - x31) =E= 0;

e112.. SignPower(x114,1.852) - 141.527058766031*(1.27323954473516*x213)**2.435*
       (x31 - x48) =E= 0;

e113.. SignPower(x115,1.852) - 2.51527486367804*(1.27323954473516*x214)**2.435*
       (x32 - x9) =E= 0;

e114.. SignPower(x116,1.852) - 1.0080565738828*(1.27323954473516*x215)**2.435*(
       x33 - x29) =E= 0;

e115.. SignPower(x117,1.852) - 12.0434403557366*(1.27323954473516*x216)**2.435*
       (x33 - x40) =E= 0;

e116.. SignPower(x118,1.852) - 0.545676034096803*(1.27323954473516*x217)**2.435
       *(x34 - x24) =E= 0;

e117.. SignPower(x119,1.852) - 0.683164662725176*(1.27323954473516*x218)**2.435
       *(x34 - x35) =E= 0;

e118.. SignPower(x120,1.852) - 6.12295378136842*(1.27323954473516*x219)**2.435*
       (x36 - x30) =E= 0;

e119.. SignPower(x121,1.852) - 6.33703248206111*(1.27323954473516*x220)**2.435*
       (x36 - x37) =E= 0;

e120.. SignPower(x122,1.852) - 2.47294352265269*(1.27323954473516*x221)**2.435*
       (x38 - x33) =E= 0;

e121.. SignPower(x123,1.852) - 1.80881214776526*(1.27323954473516*x222)**2.435*
       (x39 - x38) =E= 0;

e122.. SignPower(x124,1.852) - 10.5562078173015*(1.27323954473516*x223)**2.435*
       (x39 - x40) =E= 0;

e123.. SignPower(x125,1.852) - 1.35214556012941*(1.27323954473516*x224)**2.435*
       (x40 - x32) =E= 0;

e124.. SignPower(x126,1.852) - 1.73988980755632*(1.27323954473516*x225)**2.435*
       (x41 - x11) =E= 0;

e125.. SignPower(x127,1.852) - 2.30785287576068*(1.27323954473516*x226)**2.435*
       (x42 - x41) =E= 0;

e126.. SignPower(x128,1.852) - 76.849192909955*(1.27323954473516*x227)**2.435*(
       x42 - x69) =E= 0;

e127.. SignPower(x129,1.852) - 3.34344976767261*(1.27323954473516*x228)**2.435*
       (x43 - x41) =E= 0;

e128.. SignPower(x130,1.852) - 1.9471759421784*(1.27323954473516*x229)**2.435*(
       x43 - x56) =E= 0;

e129.. SignPower(x131,1.852) - 1.5341610019555*(1.27323954473516*x230)**2.435*(
       x44 - x45) =E= 0;

e130.. SignPower(x132,1.852) - 2.18962284269183*(1.27323954473516*x231)**2.435*
       (x44 - x51) =E= 0;

e131.. SignPower(x133,1.852) - 11.6016293644256*(1.27323954473516*x232)**2.435*
       (x45 - x31) =E= 0;

e132.. SignPower(x134,1.852) - 3.31146606239303*(1.27323954473516*x233)**2.435*
       (x46 - x47) =E= 0;

e133.. SignPower(x135,1.852) - 1.19127566129213*(1.27323954473516*x234)**2.435*
       (x47 - x48) =E= 0;

e134.. SignPower(x136,1.852) - 4.96505962720991*(1.27323954473516*x235)**2.435*
       (x48 - x49) =E= 0;

e135.. SignPower(x137,1.852) - 3.3106101283744*(1.27323954473516*x236)**2.435*(
       x49 - x45) =E= 0;

e136.. SignPower(x138,1.852) - 1.19000283234418*(1.27323954473516*x237)**2.435*
       (x49 - x50) =E= 0;

e137.. SignPower(x139,1.852) - 4.86787818521284*(1.27323954473516*x238)**2.435*
       (x50 - x47) =E= 0;

e138.. SignPower(x140,1.852) - 4.90265983476587*(1.27323954473516*x239)**2.435*
       (x50 - x52) =E= 0;

e139.. SignPower(x141,1.852) - 3.71808955004863*(1.27323954473516*x240)**2.435*
       (x51 - x49) =E= 0;

e140.. SignPower(x142,1.852) - 1.21635316413351*(1.27323954473516*x241)**2.435*
       (x51 - x52) =E= 0;

e141.. SignPower(x143,1.852) - 5.02906831424351*(1.27323954473516*x242)**2.435*
       (x53 - x54) =E= 0;

e142.. SignPower(x144,1.852) - 4.26939960610861*(1.27323954473516*x243)**2.435*
       (x53 - x66) =E= 0;

e143.. SignPower(x145,1.852) - 0.688520296644313*(1.27323954473516*x244)**2.435
       *(x54 - x60) =E= 0;

e144.. SignPower(x146,1.852) - 4.64542059541528*(1.27323954473516*x245)**2.435*
       (x54 - x68) =E= 0;

e145.. SignPower(x147,1.852) - 2.31229706363638*(1.27323954473516*x246)**2.435*
       (x54 - x70) =E= 0;

e146.. SignPower(x148,1.852) - 4.28033824829871*(1.27323954473516*x247)**2.435*
       (x54 - x71) =E= 0;

e147.. SignPower(x149,1.852) - 0.99199928887626*(1.27323954473516*x248)**2.435*
       (x55 - x43) =E= 0;

e148.. SignPower(x150,1.852) - 14.6742778136252*(1.27323954473516*x249)**2.435*
       (x55 - x46) =E= 0;

e149.. SignPower(x151,1.852) - 1.76429571858109*(1.27323954473516*x250)**2.435*
       (x56 - x55) =E= 0;

e150.. SignPower(x152,1.852) - 0.854193125367691*(1.27323954473516*x251)**2.435
       *(x57 - x56) =E= 0;

e151.. SignPower(x153,1.852) - 2.278768619083*(1.27323954473516*x252)**2.435*(
       x57 - x59) =E= 0;

e152.. SignPower(x154,1.852) - 3.87149586448136*(1.27323954473516*x253)**2.435*
       (x58 - x59) =E= 0;

e153.. SignPower(x155,1.852) - 8.89561209745978*(1.27323954473516*x254)**2.435*
       (x58 - x61) =E= 0;

e154.. SignPower(x156,1.852) - 4.11464329977807*(1.27323954473516*x255)**2.435*
       (x59 - x60) =E= 0;

e155.. SignPower(x157,1.852) - 3.39995544440804*(1.27323954473516*x256)**2.435*
       (x60 - x5) =E= 0;

e156.. SignPower(x158,1.852) - 0.979656994199185*(1.27323954473516*x257)**2.435
       *(x61 - x2) =E= 0;

e157.. SignPower(x159,1.852) - 4.43984013576492*(1.27323954473516*x258)**2.435*
       (x61 - x57) =E= 0;

e158.. SignPower(x160,1.852) - 0.440580832726327*(1.27323954473516*x259)**2.435
       *(x62 - x6) =E= 0;

e159.. SignPower(x161,1.852) - 4.98438143144085*(1.27323954473516*x260)**2.435*
       (x62 - x63) =E= 0;

e160.. SignPower(x162,1.852) - 0.716415673772992*(1.27323954473516*x261)**2.435
       *(x63 - x8) =E= 0;

e161.. SignPower(x163,1.852) - 153.69838581991*(1.27323954473516*x262)**2.435*(
       x64 - x65) =E= 0;

e162.. SignPower(x164,1.852) - 3.20138274984191*(1.27323954473516*x263)**2.435*
       (x64 - x67) =E= 0;

e163.. SignPower(x165,1.852) - 3.20204970458146*(1.27323954473516*x264)**2.435*
       (x65 - x67) =E= 0;

e164.. SignPower(x166,1.852) - 6.77981410762726*(1.27323954473516*x265)**2.435*
       (x66 - x70) =E= 0;

e165.. SignPower(x167,1.852) - 0.469827368938827*(1.27323954473516*x266)**2.435
       *(x68 - x44) =E= 0;

e166.. SignPower(x168,1.852) - 2.36437230132465*(1.27323954473516*x267)**2.435*
       (x70 - x50) =E= 0;

e167.. SignPower(x169,1.852) - 5.09542453984584*(1.27323954473516*x268)**2.435*
       (x70 - x71) =E= 0;

e168.. SignPower(x170,1.852) - 2.31892555552067*(1.27323954473516*x269)**2.435*
       (x71 - x52) =E= 0;

e169..    x72 - 2*x171 =L= 0;

e170..    x73 - 2*x172 =L= 0;

e171..    x74 - 2*x173 =L= 0;

e172..    x75 - 2*x174 =L= 0;

e173..    x76 - 2*x175 =L= 0;

e174..    x77 - 2*x176 =L= 0;

e175..    x78 - 2*x177 =L= 0;

e176..    x79 - 2*x178 =L= 0;

e177..    x80 - 2*x179 =L= 0;

e178..    x81 - 2*x180 =L= 0;

e179..    x82 - 2*x181 =L= 0;

e180..    x83 - 2*x182 =L= 0;

e181..    x84 - 2*x183 =L= 0;

e182..    x85 - 2*x184 =L= 0;

e183..    x86 - 2*x185 =L= 0;

e184..    x87 - 2*x186 =L= 0;

e185..    x88 - 2*x187 =L= 0;

e186..    x89 - 2*x188 =L= 0;

e187..    x90 - 2*x189 =L= 0;

e188..    x91 - 2*x190 =L= 0;

e189..    x92 - 2*x191 =L= 0;

e190..    x93 - 2*x192 =L= 0;

e191..    x94 - 2*x193 =L= 0;

e192..    x95 - 2*x194 =L= 0;

e193..    x96 - 2*x195 =L= 0;

e194..    x97 - 2*x196 =L= 0;

e195..    x98 - 2*x197 =L= 0;

e196..    x99 - 2*x198 =L= 0;

e197..    x100 - 2*x199 =L= 0;

e198..    x101 - 2*x200 =L= 0;

e199..    x102 - 2*x201 =L= 0;

e200..    x103 - 2*x202 =L= 0;

e201..    x104 - 2*x203 =L= 0;

e202..    x105 - 2*x204 =L= 0;

e203..    x106 - 2*x205 =L= 0;

e204..    x107 - 2*x206 =L= 0;

e205..    x108 - 2*x207 =L= 0;

e206..    x109 - 2*x208 =L= 0;

e207..    x110 - 2*x209 =L= 0;

e208..    x111 - 2*x210 =L= 0;

e209..    x112 - 2*x211 =L= 0;

e210..    x113 - 2*x212 =L= 0;

e211..    x114 - 2*x213 =L= 0;

e212..    x115 - 2*x214 =L= 0;

e213..    x116 - 2*x215 =L= 0;

e214..    x117 - 2*x216 =L= 0;

e215..    x118 - 2*x217 =L= 0;

e216..    x119 - 2*x218 =L= 0;

e217..    x120 - 2*x219 =L= 0;

e218..    x121 - 2*x220 =L= 0;

e219..    x122 - 2*x221 =L= 0;

e220..    x123 - 2*x222 =L= 0;

e221..    x124 - 2*x223 =L= 0;

e222..    x125 - 2*x224 =L= 0;

e223..    x126 - 2*x225 =L= 0;

e224..    x127 - 2*x226 =L= 0;

e225..    x128 - 2*x227 =L= 0;

e226..    x129 - 2*x228 =L= 0;

e227..    x130 - 2*x229 =L= 0;

e228..    x131 - 2*x230 =L= 0;

e229..    x132 - 2*x231 =L= 0;

e230..    x133 - 2*x232 =L= 0;

e231..    x134 - 2*x233 =L= 0;

e232..    x135 - 2*x234 =L= 0;

e233..    x136 - 2*x235 =L= 0;

e234..    x137 - 2*x236 =L= 0;

e235..    x138 - 2*x237 =L= 0;

e236..    x139 - 2*x238 =L= 0;

e237..    x140 - 2*x239 =L= 0;

e238..    x141 - 2*x240 =L= 0;

e239..    x142 - 2*x241 =L= 0;

e240..    x143 - 2*x242 =L= 0;

e241..    x144 - 2*x243 =L= 0;

e242..    x145 - 2*x244 =L= 0;

e243..    x146 - 2*x245 =L= 0;

e244..    x147 - 2*x246 =L= 0;

e245..    x148 - 2*x247 =L= 0;

e246..    x149 - 2*x248 =L= 0;

e247..    x150 - 2*x249 =L= 0;

e248..    x151 - 2*x250 =L= 0;

e249..    x152 - 2*x251 =L= 0;

e250..    x153 - 2*x252 =L= 0;

e251..    x154 - 2*x253 =L= 0;

e252..    x155 - 2*x254 =L= 0;

e253..    x156 - 2*x255 =L= 0;

e254..    x157 - 2*x256 =L= 0;

e255..    x158 - 2*x257 =L= 0;

e256..    x159 - 2*x258 =L= 0;

e257..    x160 - 2*x259 =L= 0;

e258..    x161 - 2*x260 =L= 0;

e259..    x162 - 2*x261 =L= 0;

e260..    x163 - 2*x262 =L= 0;

e261..    x164 - 2*x263 =L= 0;

e262..    x165 - 2*x264 =L= 0;

e263..    x166 - 2*x265 =L= 0;

e264..    x167 - 2*x266 =L= 0;

e265..    x168 - 2*x267 =L= 0;

e266..    x169 - 2*x268 =L= 0;

e267..    x170 - 2*x269 =L= 0;

e268..    x72 + 2*x171 =G= 0;

e269..    x73 + 2*x172 =G= 0;

e270..    x74 + 2*x173 =G= 0;

e271..    x75 + 2*x174 =G= 0;

e272..    x76 + 2*x175 =G= 0;

e273..    x77 + 2*x176 =G= 0;

e274..    x78 + 2*x177 =G= 0;

e275..    x79 + 2*x178 =G= 0;

e276..    x80 + 2*x179 =G= 0;

e277..    x81 + 2*x180 =G= 0;

e278..    x82 + 2*x181 =G= 0;

e279..    x83 + 2*x182 =G= 0;

e280..    x84 + 2*x183 =G= 0;

e281..    x85 + 2*x184 =G= 0;

e282..    x86 + 2*x185 =G= 0;

e283..    x87 + 2*x186 =G= 0;

e284..    x88 + 2*x187 =G= 0;

e285..    x89 + 2*x188 =G= 0;

e286..    x90 + 2*x189 =G= 0;

e287..    x91 + 2*x190 =G= 0;

e288..    x92 + 2*x191 =G= 0;

e289..    x93 + 2*x192 =G= 0;

e290..    x94 + 2*x193 =G= 0;

e291..    x95 + 2*x194 =G= 0;

e292..    x96 + 2*x195 =G= 0;

e293..    x97 + 2*x196 =G= 0;

e294..    x98 + 2*x197 =G= 0;

e295..    x99 + 2*x198 =G= 0;

e296..    x100 + 2*x199 =G= 0;

e297..    x101 + 2*x200 =G= 0;

e298..    x102 + 2*x201 =G= 0;

e299..    x103 + 2*x202 =G= 0;

e300..    x104 + 2*x203 =G= 0;

e301..    x105 + 2*x204 =G= 0;

e302..    x106 + 2*x205 =G= 0;

e303..    x107 + 2*x206 =G= 0;

e304..    x108 + 2*x207 =G= 0;

e305..    x109 + 2*x208 =G= 0;

e306..    x110 + 2*x209 =G= 0;

e307..    x111 + 2*x210 =G= 0;

e308..    x112 + 2*x211 =G= 0;

e309..    x113 + 2*x212 =G= 0;

e310..    x114 + 2*x213 =G= 0;

e311..    x115 + 2*x214 =G= 0;

e312..    x116 + 2*x215 =G= 0;

e313..    x117 + 2*x216 =G= 0;

e314..    x118 + 2*x217 =G= 0;

e315..    x119 + 2*x218 =G= 0;

e316..    x120 + 2*x219 =G= 0;

e317..    x121 + 2*x220 =G= 0;

e318..    x122 + 2*x221 =G= 0;

e319..    x123 + 2*x222 =G= 0;

e320..    x124 + 2*x223 =G= 0;

e321..    x125 + 2*x224 =G= 0;

e322..    x126 + 2*x225 =G= 0;

e323..    x127 + 2*x226 =G= 0;

e324..    x128 + 2*x227 =G= 0;

e325..    x129 + 2*x228 =G= 0;

e326..    x130 + 2*x229 =G= 0;

e327..    x131 + 2*x230 =G= 0;

e328..    x132 + 2*x231 =G= 0;

e329..    x133 + 2*x232 =G= 0;

e330..    x134 + 2*x233 =G= 0;

e331..    x135 + 2*x234 =G= 0;

e332..    x136 + 2*x235 =G= 0;

e333..    x137 + 2*x236 =G= 0;

e334..    x138 + 2*x237 =G= 0;

e335..    x139 + 2*x238 =G= 0;

e336..    x140 + 2*x239 =G= 0;

e337..    x141 + 2*x240 =G= 0;

e338..    x142 + 2*x241 =G= 0;

e339..    x143 + 2*x242 =G= 0;

e340..    x144 + 2*x243 =G= 0;

e341..    x145 + 2*x244 =G= 0;

e342..    x146 + 2*x245 =G= 0;

e343..    x147 + 2*x246 =G= 0;

e344..    x148 + 2*x247 =G= 0;

e345..    x149 + 2*x248 =G= 0;

e346..    x150 + 2*x249 =G= 0;

e347..    x151 + 2*x250 =G= 0;

e348..    x152 + 2*x251 =G= 0;

e349..    x153 + 2*x252 =G= 0;

e350..    x154 + 2*x253 =G= 0;

e351..    x155 + 2*x254 =G= 0;

e352..    x156 + 2*x255 =G= 0;

e353..    x157 + 2*x256 =G= 0;

e354..    x158 + 2*x257 =G= 0;

e355..    x159 + 2*x258 =G= 0;

e356..    x160 + 2*x259 =G= 0;

e357..    x161 + 2*x260 =G= 0;

e358..    x162 + 2*x261 =G= 0;

e359..    x163 + 2*x262 =G= 0;

e360..    x164 + 2*x263 =G= 0;

e361..    x165 + 2*x264 =G= 0;

e362..    x166 + 2*x265 =G= 0;

e363..    x167 + 2*x266 =G= 0;

e364..    x168 + 2*x267 =G= 0;

e365..    x169 + 2*x268 =G= 0;

e366..    x170 + 2*x269 =G= 0;

e367..    x171 - 0.00785398163397448*b270 - 0.0122718463030851*b271
        - 0.0176714586764426*b272 - 0.0314159265358979*b273
        - 0.0490873852123405*b274 - 0.0706858347057703*b275
        - 0.0962112750161874*b276 - 0.125663706143592*b277
        - 0.159043128087983*b278 - 0.196349540849362*b279
        - 0.282743338823081*b280 - 0.38484510006475*b281
        - 0.502654824574367*b282 =E= 0;

e368..    x172 - 0.00785398163397448*b283 - 0.0122718463030851*b284
        - 0.0176714586764426*b285 - 0.0314159265358979*b286
        - 0.0490873852123405*b287 - 0.0706858347057703*b288
        - 0.0962112750161874*b289 - 0.125663706143592*b290
        - 0.159043128087983*b291 - 0.196349540849362*b292
        - 0.282743338823081*b293 - 0.38484510006475*b294
        - 0.502654824574367*b295 =E= 0;

e369..    x173 - 0.00785398163397448*b296 - 0.0122718463030851*b297
        - 0.0176714586764426*b298 - 0.0314159265358979*b299
        - 0.0490873852123405*b300 - 0.0706858347057703*b301
        - 0.0962112750161874*b302 - 0.125663706143592*b303
        - 0.159043128087983*b304 - 0.196349540849362*b305
        - 0.282743338823081*b306 - 0.38484510006475*b307
        - 0.502654824574367*b308 =E= 0;

e370..    x174 - 0.00785398163397448*b309 - 0.0122718463030851*b310
        - 0.0176714586764426*b311 - 0.0314159265358979*b312
        - 0.0490873852123405*b313 - 0.0706858347057703*b314
        - 0.0962112750161874*b315 - 0.125663706143592*b316
        - 0.159043128087983*b317 - 0.196349540849362*b318
        - 0.282743338823081*b319 - 0.38484510006475*b320
        - 0.502654824574367*b321 =E= 0;

e371..    x175 - 0.00785398163397448*b322 - 0.0122718463030851*b323
        - 0.0176714586764426*b324 - 0.0314159265358979*b325
        - 0.0490873852123405*b326 - 0.0706858347057703*b327
        - 0.0962112750161874*b328 - 0.125663706143592*b329
        - 0.159043128087983*b330 - 0.196349540849362*b331
        - 0.282743338823081*b332 - 0.38484510006475*b333
        - 0.502654824574367*b334 =E= 0;

e372..    x176 - 0.00785398163397448*b335 - 0.0122718463030851*b336
        - 0.0176714586764426*b337 - 0.0314159265358979*b338
        - 0.0490873852123405*b339 - 0.0706858347057703*b340
        - 0.0962112750161874*b341 - 0.125663706143592*b342
        - 0.159043128087983*b343 - 0.196349540849362*b344
        - 0.282743338823081*b345 - 0.38484510006475*b346
        - 0.502654824574367*b347 =E= 0;

e373..    x177 - 0.00785398163397448*b348 - 0.0122718463030851*b349
        - 0.0176714586764426*b350 - 0.0314159265358979*b351
        - 0.0490873852123405*b352 - 0.0706858347057703*b353
        - 0.0962112750161874*b354 - 0.125663706143592*b355
        - 0.159043128087983*b356 - 0.196349540849362*b357
        - 0.282743338823081*b358 - 0.38484510006475*b359
        - 0.502654824574367*b360 =E= 0;

e374..    x178 - 0.00785398163397448*b361 - 0.0122718463030851*b362
        - 0.0176714586764426*b363 - 0.0314159265358979*b364
        - 0.0490873852123405*b365 - 0.0706858347057703*b366
        - 0.0962112750161874*b367 - 0.125663706143592*b368
        - 0.159043128087983*b369 - 0.196349540849362*b370
        - 0.282743338823081*b371 - 0.38484510006475*b372
        - 0.502654824574367*b373 =E= 0;

e375..    x179 - 0.00785398163397448*b374 - 0.0122718463030851*b375
        - 0.0176714586764426*b376 - 0.0314159265358979*b377
        - 0.0490873852123405*b378 - 0.0706858347057703*b379
        - 0.0962112750161874*b380 - 0.125663706143592*b381
        - 0.159043128087983*b382 - 0.196349540849362*b383
        - 0.282743338823081*b384 - 0.38484510006475*b385
        - 0.502654824574367*b386 =E= 0;

e376..    x180 - 0.00785398163397448*b387 - 0.0122718463030851*b388
        - 0.0176714586764426*b389 - 0.0314159265358979*b390
        - 0.0490873852123405*b391 - 0.0706858347057703*b392
        - 0.0962112750161874*b393 - 0.125663706143592*b394
        - 0.159043128087983*b395 - 0.196349540849362*b396
        - 0.282743338823081*b397 - 0.38484510006475*b398
        - 0.502654824574367*b399 =E= 0;

e377..    x181 - 0.00785398163397448*b400 - 0.0122718463030851*b401
        - 0.0176714586764426*b402 - 0.0314159265358979*b403
        - 0.0490873852123405*b404 - 0.0706858347057703*b405
        - 0.0962112750161874*b406 - 0.125663706143592*b407
        - 0.159043128087983*b408 - 0.196349540849362*b409
        - 0.282743338823081*b410 - 0.38484510006475*b411
        - 0.502654824574367*b412 =E= 0;

e378..    x182 - 0.00785398163397448*b413 - 0.0122718463030851*b414
        - 0.0176714586764426*b415 - 0.0314159265358979*b416
        - 0.0490873852123405*b417 - 0.0706858347057703*b418
        - 0.0962112750161874*b419 - 0.125663706143592*b420
        - 0.159043128087983*b421 - 0.196349540849362*b422
        - 0.282743338823081*b423 - 0.38484510006475*b424
        - 0.502654824574367*b425 =E= 0;

e379..    x183 - 0.00785398163397448*b426 - 0.0122718463030851*b427
        - 0.0176714586764426*b428 - 0.0314159265358979*b429
        - 0.0490873852123405*b430 - 0.0706858347057703*b431
        - 0.0962112750161874*b432 - 0.125663706143592*b433
        - 0.159043128087983*b434 - 0.196349540849362*b435
        - 0.282743338823081*b436 - 0.38484510006475*b437
        - 0.502654824574367*b438 =E= 0;

e380..    x184 - 0.00785398163397448*b439 - 0.0122718463030851*b440
        - 0.0176714586764426*b441 - 0.0314159265358979*b442
        - 0.0490873852123405*b443 - 0.0706858347057703*b444
        - 0.0962112750161874*b445 - 0.125663706143592*b446
        - 0.159043128087983*b447 - 0.196349540849362*b448
        - 0.282743338823081*b449 - 0.38484510006475*b450
        - 0.502654824574367*b451 =E= 0;

e381..    x185 - 0.00785398163397448*b452 - 0.0122718463030851*b453
        - 0.0176714586764426*b454 - 0.0314159265358979*b455
        - 0.0490873852123405*b456 - 0.0706858347057703*b457
        - 0.0962112750161874*b458 - 0.125663706143592*b459
        - 0.159043128087983*b460 - 0.196349540849362*b461
        - 0.282743338823081*b462 - 0.38484510006475*b463
        - 0.502654824574367*b464 =E= 0;

e382..    x186 - 0.00785398163397448*b465 - 0.0122718463030851*b466
        - 0.0176714586764426*b467 - 0.0314159265358979*b468
        - 0.0490873852123405*b469 - 0.0706858347057703*b470
        - 0.0962112750161874*b471 - 0.125663706143592*b472
        - 0.159043128087983*b473 - 0.196349540849362*b474
        - 0.282743338823081*b475 - 0.38484510006475*b476
        - 0.502654824574367*b477 =E= 0;

e383..    x187 - 0.00785398163397448*b478 - 0.0122718463030851*b479
        - 0.0176714586764426*b480 - 0.0314159265358979*b481
        - 0.0490873852123405*b482 - 0.0706858347057703*b483
        - 0.0962112750161874*b484 - 0.125663706143592*b485
        - 0.159043128087983*b486 - 0.196349540849362*b487
        - 0.282743338823081*b488 - 0.38484510006475*b489
        - 0.502654824574367*b490 =E= 0;

e384..    x188 - 0.00785398163397448*b491 - 0.0122718463030851*b492
        - 0.0176714586764426*b493 - 0.0314159265358979*b494
        - 0.0490873852123405*b495 - 0.0706858347057703*b496
        - 0.0962112750161874*b497 - 0.125663706143592*b498
        - 0.159043128087983*b499 - 0.196349540849362*b500
        - 0.282743338823081*b501 - 0.38484510006475*b502
        - 0.502654824574367*b503 =E= 0;

e385..    x189 - 0.00785398163397448*b504 - 0.0122718463030851*b505
        - 0.0176714586764426*b506 - 0.0314159265358979*b507
        - 0.0490873852123405*b508 - 0.0706858347057703*b509
        - 0.0962112750161874*b510 - 0.125663706143592*b511
        - 0.159043128087983*b512 - 0.196349540849362*b513
        - 0.282743338823081*b514 - 0.38484510006475*b515
        - 0.502654824574367*b516 =E= 0;

e386..    x190 - 0.00785398163397448*b517 - 0.0122718463030851*b518
        - 0.0176714586764426*b519 - 0.0314159265358979*b520
        - 0.0490873852123405*b521 - 0.0706858347057703*b522
        - 0.0962112750161874*b523 - 0.125663706143592*b524
        - 0.159043128087983*b525 - 0.196349540849362*b526
        - 0.282743338823081*b527 - 0.38484510006475*b528
        - 0.502654824574367*b529 =E= 0;

e387..    x191 - 0.00785398163397448*b530 - 0.0122718463030851*b531
        - 0.0176714586764426*b532 - 0.0314159265358979*b533
        - 0.0490873852123405*b534 - 0.0706858347057703*b535
        - 0.0962112750161874*b536 - 0.125663706143592*b537
        - 0.159043128087983*b538 - 0.196349540849362*b539
        - 0.282743338823081*b540 - 0.38484510006475*b541
        - 0.502654824574367*b542 =E= 0;

e388..    x192 - 0.00785398163397448*b543 - 0.0122718463030851*b544
        - 0.0176714586764426*b545 - 0.0314159265358979*b546
        - 0.0490873852123405*b547 - 0.0706858347057703*b548
        - 0.0962112750161874*b549 - 0.125663706143592*b550
        - 0.159043128087983*b551 - 0.196349540849362*b552
        - 0.282743338823081*b553 - 0.38484510006475*b554
        - 0.502654824574367*b555 =E= 0;

e389..    x193 - 0.00785398163397448*b556 - 0.0122718463030851*b557
        - 0.0176714586764426*b558 - 0.0314159265358979*b559
        - 0.0490873852123405*b560 - 0.0706858347057703*b561
        - 0.0962112750161874*b562 - 0.125663706143592*b563
        - 0.159043128087983*b564 - 0.196349540849362*b565
        - 0.282743338823081*b566 - 0.38484510006475*b567
        - 0.502654824574367*b568 =E= 0;

e390..    x194 - 0.00785398163397448*b569 - 0.0122718463030851*b570
        - 0.0176714586764426*b571 - 0.0314159265358979*b572
        - 0.0490873852123405*b573 - 0.0706858347057703*b574
        - 0.0962112750161874*b575 - 0.125663706143592*b576
        - 0.159043128087983*b577 - 0.196349540849362*b578
        - 0.282743338823081*b579 - 0.38484510006475*b580
        - 0.502654824574367*b581 =E= 0;

e391..    x195 - 0.00785398163397448*b582 - 0.0122718463030851*b583
        - 0.0176714586764426*b584 - 0.0314159265358979*b585
        - 0.0490873852123405*b586 - 0.0706858347057703*b587
        - 0.0962112750161874*b588 - 0.125663706143592*b589
        - 0.159043128087983*b590 - 0.196349540849362*b591
        - 0.282743338823081*b592 - 0.38484510006475*b593
        - 0.502654824574367*b594 =E= 0;

e392..    x196 - 0.00785398163397448*b595 - 0.0122718463030851*b596
        - 0.0176714586764426*b597 - 0.0314159265358979*b598
        - 0.0490873852123405*b599 - 0.0706858347057703*b600
        - 0.0962112750161874*b601 - 0.125663706143592*b602
        - 0.159043128087983*b603 - 0.196349540849362*b604
        - 0.282743338823081*b605 - 0.38484510006475*b606
        - 0.502654824574367*b607 =E= 0;

e393..    x197 - 0.00785398163397448*b608 - 0.0122718463030851*b609
        - 0.0176714586764426*b610 - 0.0314159265358979*b611
        - 0.0490873852123405*b612 - 0.0706858347057703*b613
        - 0.0962112750161874*b614 - 0.125663706143592*b615
        - 0.159043128087983*b616 - 0.196349540849362*b617
        - 0.282743338823081*b618 - 0.38484510006475*b619
        - 0.502654824574367*b620 =E= 0;

e394..    x198 - 0.00785398163397448*b621 - 0.0122718463030851*b622
        - 0.0176714586764426*b623 - 0.0314159265358979*b624
        - 0.0490873852123405*b625 - 0.0706858347057703*b626
        - 0.0962112750161874*b627 - 0.125663706143592*b628
        - 0.159043128087983*b629 - 0.196349540849362*b630
        - 0.282743338823081*b631 - 0.38484510006475*b632
        - 0.502654824574367*b633 =E= 0;

e395..    x199 - 0.00785398163397448*b634 - 0.0122718463030851*b635
        - 0.0176714586764426*b636 - 0.0314159265358979*b637
        - 0.0490873852123405*b638 - 0.0706858347057703*b639
        - 0.0962112750161874*b640 - 0.125663706143592*b641
        - 0.159043128087983*b642 - 0.196349540849362*b643
        - 0.282743338823081*b644 - 0.38484510006475*b645
        - 0.502654824574367*b646 =E= 0;

e396..    x200 - 0.00785398163397448*b647 - 0.0122718463030851*b648
        - 0.0176714586764426*b649 - 0.0314159265358979*b650
        - 0.0490873852123405*b651 - 0.0706858347057703*b652
        - 0.0962112750161874*b653 - 0.125663706143592*b654
        - 0.159043128087983*b655 - 0.196349540849362*b656
        - 0.282743338823081*b657 - 0.38484510006475*b658
        - 0.502654824574367*b659 =E= 0;

e397..    x201 - 0.00785398163397448*b660 - 0.0122718463030851*b661
        - 0.0176714586764426*b662 - 0.0314159265358979*b663
        - 0.0490873852123405*b664 - 0.0706858347057703*b665
        - 0.0962112750161874*b666 - 0.125663706143592*b667
        - 0.159043128087983*b668 - 0.196349540849362*b669
        - 0.282743338823081*b670 - 0.38484510006475*b671
        - 0.502654824574367*b672 =E= 0;

e398..    x202 - 0.00785398163397448*b673 - 0.0122718463030851*b674
        - 0.0176714586764426*b675 - 0.0314159265358979*b676
        - 0.0490873852123405*b677 - 0.0706858347057703*b678
        - 0.0962112750161874*b679 - 0.125663706143592*b680
        - 0.159043128087983*b681 - 0.196349540849362*b682
        - 0.282743338823081*b683 - 0.38484510006475*b684
        - 0.502654824574367*b685 =E= 0;

e399..    x203 - 0.00785398163397448*b686 - 0.0122718463030851*b687
        - 0.0176714586764426*b688 - 0.0314159265358979*b689
        - 0.0490873852123405*b690 - 0.0706858347057703*b691
        - 0.0962112750161874*b692 - 0.125663706143592*b693
        - 0.159043128087983*b694 - 0.196349540849362*b695
        - 0.282743338823081*b696 - 0.38484510006475*b697
        - 0.502654824574367*b698 =E= 0;

e400..    x204 - 0.00785398163397448*b699 - 0.0122718463030851*b700
        - 0.0176714586764426*b701 - 0.0314159265358979*b702
        - 0.0490873852123405*b703 - 0.0706858347057703*b704
        - 0.0962112750161874*b705 - 0.125663706143592*b706
        - 0.159043128087983*b707 - 0.196349540849362*b708
        - 0.282743338823081*b709 - 0.38484510006475*b710
        - 0.502654824574367*b711 =E= 0;

e401..    x205 - 0.00785398163397448*b712 - 0.0122718463030851*b713
        - 0.0176714586764426*b714 - 0.0314159265358979*b715
        - 0.0490873852123405*b716 - 0.0706858347057703*b717
        - 0.0962112750161874*b718 - 0.125663706143592*b719
        - 0.159043128087983*b720 - 0.196349540849362*b721
        - 0.282743338823081*b722 - 0.38484510006475*b723
        - 0.502654824574367*b724 =E= 0;

e402..    x206 - 0.00785398163397448*b725 - 0.0122718463030851*b726
        - 0.0176714586764426*b727 - 0.0314159265358979*b728
        - 0.0490873852123405*b729 - 0.0706858347057703*b730
        - 0.0962112750161874*b731 - 0.125663706143592*b732
        - 0.159043128087983*b733 - 0.196349540849362*b734
        - 0.282743338823081*b735 - 0.38484510006475*b736
        - 0.502654824574367*b737 =E= 0;

e403..    x207 - 0.00785398163397448*b738 - 0.0122718463030851*b739
        - 0.0176714586764426*b740 - 0.0314159265358979*b741
        - 0.0490873852123405*b742 - 0.0706858347057703*b743
        - 0.0962112750161874*b744 - 0.125663706143592*b745
        - 0.159043128087983*b746 - 0.196349540849362*b747
        - 0.282743338823081*b748 - 0.38484510006475*b749
        - 0.502654824574367*b750 =E= 0;

e404..    x208 - 0.00785398163397448*b751 - 0.0122718463030851*b752
        - 0.0176714586764426*b753 - 0.0314159265358979*b754
        - 0.0490873852123405*b755 - 0.0706858347057703*b756
        - 0.0962112750161874*b757 - 0.125663706143592*b758
        - 0.159043128087983*b759 - 0.196349540849362*b760
        - 0.282743338823081*b761 - 0.38484510006475*b762
        - 0.502654824574367*b763 =E= 0;

e405..    x209 - 0.00785398163397448*b764 - 0.0122718463030851*b765
        - 0.0176714586764426*b766 - 0.0314159265358979*b767
        - 0.0490873852123405*b768 - 0.0706858347057703*b769
        - 0.0962112750161874*b770 - 0.125663706143592*b771
        - 0.159043128087983*b772 - 0.196349540849362*b773
        - 0.282743338823081*b774 - 0.38484510006475*b775
        - 0.502654824574367*b776 =E= 0;

e406..    x210 - 0.00785398163397448*b777 - 0.0122718463030851*b778
        - 0.0176714586764426*b779 - 0.0314159265358979*b780
        - 0.0490873852123405*b781 - 0.0706858347057703*b782
        - 0.0962112750161874*b783 - 0.125663706143592*b784
        - 0.159043128087983*b785 - 0.196349540849362*b786
        - 0.282743338823081*b787 - 0.38484510006475*b788
        - 0.502654824574367*b789 =E= 0;

e407..    x211 - 0.00785398163397448*b790 - 0.0122718463030851*b791
        - 0.0176714586764426*b792 - 0.0314159265358979*b793
        - 0.0490873852123405*b794 - 0.0706858347057703*b795
        - 0.0962112750161874*b796 - 0.125663706143592*b797
        - 0.159043128087983*b798 - 0.196349540849362*b799
        - 0.282743338823081*b800 - 0.38484510006475*b801
        - 0.502654824574367*b802 =E= 0;

e408..    x212 - 0.00785398163397448*b803 - 0.0122718463030851*b804
        - 0.0176714586764426*b805 - 0.0314159265358979*b806
        - 0.0490873852123405*b807 - 0.0706858347057703*b808
        - 0.0962112750161874*b809 - 0.125663706143592*b810
        - 0.159043128087983*b811 - 0.196349540849362*b812
        - 0.282743338823081*b813 - 0.38484510006475*b814
        - 0.502654824574367*b815 =E= 0;

e409..    x213 - 0.00785398163397448*b816 - 0.0122718463030851*b817
        - 0.0176714586764426*b818 - 0.0314159265358979*b819
        - 0.0490873852123405*b820 - 0.0706858347057703*b821
        - 0.0962112750161874*b822 - 0.125663706143592*b823
        - 0.159043128087983*b824 - 0.196349540849362*b825
        - 0.282743338823081*b826 - 0.38484510006475*b827
        - 0.502654824574367*b828 =E= 0;

e410..    x214 - 0.00785398163397448*b829 - 0.0122718463030851*b830
        - 0.0176714586764426*b831 - 0.0314159265358979*b832
        - 0.0490873852123405*b833 - 0.0706858347057703*b834
        - 0.0962112750161874*b835 - 0.125663706143592*b836
        - 0.159043128087983*b837 - 0.196349540849362*b838
        - 0.282743338823081*b839 - 0.38484510006475*b840
        - 0.502654824574367*b841 =E= 0;

e411..    x215 - 0.00785398163397448*b842 - 0.0122718463030851*b843
        - 0.0176714586764426*b844 - 0.0314159265358979*b845
        - 0.0490873852123405*b846 - 0.0706858347057703*b847
        - 0.0962112750161874*b848 - 0.125663706143592*b849
        - 0.159043128087983*b850 - 0.196349540849362*b851
        - 0.282743338823081*b852 - 0.38484510006475*b853
        - 0.502654824574367*b854 =E= 0;

e412..    x216 - 0.00785398163397448*b855 - 0.0122718463030851*b856
        - 0.0176714586764426*b857 - 0.0314159265358979*b858
        - 0.0490873852123405*b859 - 0.0706858347057703*b860
        - 0.0962112750161874*b861 - 0.125663706143592*b862
        - 0.159043128087983*b863 - 0.196349540849362*b864
        - 0.282743338823081*b865 - 0.38484510006475*b866
        - 0.502654824574367*b867 =E= 0;

e413..    x217 - 0.00785398163397448*b868 - 0.0122718463030851*b869
        - 0.0176714586764426*b870 - 0.0314159265358979*b871
        - 0.0490873852123405*b872 - 0.0706858347057703*b873
        - 0.0962112750161874*b874 - 0.125663706143592*b875
        - 0.159043128087983*b876 - 0.196349540849362*b877
        - 0.282743338823081*b878 - 0.38484510006475*b879
        - 0.502654824574367*b880 =E= 0;

e414..    x218 - 0.00785398163397448*b881 - 0.0122718463030851*b882
        - 0.0176714586764426*b883 - 0.0314159265358979*b884
        - 0.0490873852123405*b885 - 0.0706858347057703*b886
        - 0.0962112750161874*b887 - 0.125663706143592*b888
        - 0.159043128087983*b889 - 0.196349540849362*b890
        - 0.282743338823081*b891 - 0.38484510006475*b892
        - 0.502654824574367*b893 =E= 0;

e415..    x219 - 0.00785398163397448*b894 - 0.0122718463030851*b895
        - 0.0176714586764426*b896 - 0.0314159265358979*b897
        - 0.0490873852123405*b898 - 0.0706858347057703*b899
        - 0.0962112750161874*b900 - 0.125663706143592*b901
        - 0.159043128087983*b902 - 0.196349540849362*b903
        - 0.282743338823081*b904 - 0.38484510006475*b905
        - 0.502654824574367*b906 =E= 0;

e416..    x220 - 0.00785398163397448*b907 - 0.0122718463030851*b908
        - 0.0176714586764426*b909 - 0.0314159265358979*b910
        - 0.0490873852123405*b911 - 0.0706858347057703*b912
        - 0.0962112750161874*b913 - 0.125663706143592*b914
        - 0.159043128087983*b915 - 0.196349540849362*b916
        - 0.282743338823081*b917 - 0.38484510006475*b918
        - 0.502654824574367*b919 =E= 0;

e417..    x221 - 0.00785398163397448*b920 - 0.0122718463030851*b921
        - 0.0176714586764426*b922 - 0.0314159265358979*b923
        - 0.0490873852123405*b924 - 0.0706858347057703*b925
        - 0.0962112750161874*b926 - 0.125663706143592*b927
        - 0.159043128087983*b928 - 0.196349540849362*b929
        - 0.282743338823081*b930 - 0.38484510006475*b931
        - 0.502654824574367*b932 =E= 0;

e418..    x222 - 0.00785398163397448*b933 - 0.0122718463030851*b934
        - 0.0176714586764426*b935 - 0.0314159265358979*b936
        - 0.0490873852123405*b937 - 0.0706858347057703*b938
        - 0.0962112750161874*b939 - 0.125663706143592*b940
        - 0.159043128087983*b941 - 0.196349540849362*b942
        - 0.282743338823081*b943 - 0.38484510006475*b944
        - 0.502654824574367*b945 =E= 0;

e419..    x223 - 0.00785398163397448*b946 - 0.0122718463030851*b947
        - 0.0176714586764426*b948 - 0.0314159265358979*b949
        - 0.0490873852123405*b950 - 0.0706858347057703*b951
        - 0.0962112750161874*b952 - 0.125663706143592*b953
        - 0.159043128087983*b954 - 0.196349540849362*b955
        - 0.282743338823081*b956 - 0.38484510006475*b957
        - 0.502654824574367*b958 =E= 0;

e420..    x224 - 0.00785398163397448*b959 - 0.0122718463030851*b960
        - 0.0176714586764426*b961 - 0.0314159265358979*b962
        - 0.0490873852123405*b963 - 0.0706858347057703*b964
        - 0.0962112750161874*b965 - 0.125663706143592*b966
        - 0.159043128087983*b967 - 0.196349540849362*b968
        - 0.282743338823081*b969 - 0.38484510006475*b970
        - 0.502654824574367*b971 =E= 0;

e421..    x225 - 0.00785398163397448*b972 - 0.0122718463030851*b973
        - 0.0176714586764426*b974 - 0.0314159265358979*b975
        - 0.0490873852123405*b976 - 0.0706858347057703*b977
        - 0.0962112750161874*b978 - 0.125663706143592*b979
        - 0.159043128087983*b980 - 0.196349540849362*b981
        - 0.282743338823081*b982 - 0.38484510006475*b983
        - 0.502654824574367*b984 =E= 0;

e422..    x226 - 0.00785398163397448*b985 - 0.0122718463030851*b986
        - 0.0176714586764426*b987 - 0.0314159265358979*b988
        - 0.0490873852123405*b989 - 0.0706858347057703*b990
        - 0.0962112750161874*b991 - 0.125663706143592*b992
        - 0.159043128087983*b993 - 0.196349540849362*b994
        - 0.282743338823081*b995 - 0.38484510006475*b996
        - 0.502654824574367*b997 =E= 0;

e423..    x227 - 0.00785398163397448*b998 - 0.0122718463030851*b999
        - 0.0176714586764426*b1000 - 0.0314159265358979*b1001
        - 0.0490873852123405*b1002 - 0.0706858347057703*b1003
        - 0.0962112750161874*b1004 - 0.125663706143592*b1005
        - 0.159043128087983*b1006 - 0.196349540849362*b1007
        - 0.282743338823081*b1008 - 0.38484510006475*b1009
        - 0.502654824574367*b1010 =E= 0;

e424..    x228 - 0.00785398163397448*b1011 - 0.0122718463030851*b1012
        - 0.0176714586764426*b1013 - 0.0314159265358979*b1014
        - 0.0490873852123405*b1015 - 0.0706858347057703*b1016
        - 0.0962112750161874*b1017 - 0.125663706143592*b1018
        - 0.159043128087983*b1019 - 0.196349540849362*b1020
        - 0.282743338823081*b1021 - 0.38484510006475*b1022
        - 0.502654824574367*b1023 =E= 0;

e425..    x229 - 0.00785398163397448*b1024 - 0.0122718463030851*b1025
        - 0.0176714586764426*b1026 - 0.0314159265358979*b1027
        - 0.0490873852123405*b1028 - 0.0706858347057703*b1029
        - 0.0962112750161874*b1030 - 0.125663706143592*b1031
        - 0.159043128087983*b1032 - 0.196349540849362*b1033
        - 0.282743338823081*b1034 - 0.38484510006475*b1035
        - 0.502654824574367*b1036 =E= 0;

e426..    x230 - 0.00785398163397448*b1037 - 0.0122718463030851*b1038
        - 0.0176714586764426*b1039 - 0.0314159265358979*b1040
        - 0.0490873852123405*b1041 - 0.0706858347057703*b1042
        - 0.0962112750161874*b1043 - 0.125663706143592*b1044
        - 0.159043128087983*b1045 - 0.196349540849362*b1046
        - 0.282743338823081*b1047 - 0.38484510006475*b1048
        - 0.502654824574367*b1049 =E= 0;

e427..    x231 - 0.00785398163397448*b1050 - 0.0122718463030851*b1051
        - 0.0176714586764426*b1052 - 0.0314159265358979*b1053
        - 0.0490873852123405*b1054 - 0.0706858347057703*b1055
        - 0.0962112750161874*b1056 - 0.125663706143592*b1057
        - 0.159043128087983*b1058 - 0.196349540849362*b1059
        - 0.282743338823081*b1060 - 0.38484510006475*b1061
        - 0.502654824574367*b1062 =E= 0;

e428..    x232 - 0.00785398163397448*b1063 - 0.0122718463030851*b1064
        - 0.0176714586764426*b1065 - 0.0314159265358979*b1066
        - 0.0490873852123405*b1067 - 0.0706858347057703*b1068
        - 0.0962112750161874*b1069 - 0.125663706143592*b1070
        - 0.159043128087983*b1071 - 0.196349540849362*b1072
        - 0.282743338823081*b1073 - 0.38484510006475*b1074
        - 0.502654824574367*b1075 =E= 0;

e429..    x233 - 0.00785398163397448*b1076 - 0.0122718463030851*b1077
        - 0.0176714586764426*b1078 - 0.0314159265358979*b1079
        - 0.0490873852123405*b1080 - 0.0706858347057703*b1081
        - 0.0962112750161874*b1082 - 0.125663706143592*b1083
        - 0.159043128087983*b1084 - 0.196349540849362*b1085
        - 0.282743338823081*b1086 - 0.38484510006475*b1087
        - 0.502654824574367*b1088 =E= 0;

e430..    x234 - 0.00785398163397448*b1089 - 0.0122718463030851*b1090
        - 0.0176714586764426*b1091 - 0.0314159265358979*b1092
        - 0.0490873852123405*b1093 - 0.0706858347057703*b1094
        - 0.0962112750161874*b1095 - 0.125663706143592*b1096
        - 0.159043128087983*b1097 - 0.196349540849362*b1098
        - 0.282743338823081*b1099 - 0.38484510006475*b1100
        - 0.502654824574367*b1101 =E= 0;

e431..    x235 - 0.00785398163397448*b1102 - 0.0122718463030851*b1103
        - 0.0176714586764426*b1104 - 0.0314159265358979*b1105
        - 0.0490873852123405*b1106 - 0.0706858347057703*b1107
        - 0.0962112750161874*b1108 - 0.125663706143592*b1109
        - 0.159043128087983*b1110 - 0.196349540849362*b1111
        - 0.282743338823081*b1112 - 0.38484510006475*b1113
        - 0.502654824574367*b1114 =E= 0;

e432..    x236 - 0.00785398163397448*b1115 - 0.0122718463030851*b1116
        - 0.0176714586764426*b1117 - 0.0314159265358979*b1118
        - 0.0490873852123405*b1119 - 0.0706858347057703*b1120
        - 0.0962112750161874*b1121 - 0.125663706143592*b1122
        - 0.159043128087983*b1123 - 0.196349540849362*b1124
        - 0.282743338823081*b1125 - 0.38484510006475*b1126
        - 0.502654824574367*b1127 =E= 0;

e433..    x237 - 0.00785398163397448*b1128 - 0.0122718463030851*b1129
        - 0.0176714586764426*b1130 - 0.0314159265358979*b1131
        - 0.0490873852123405*b1132 - 0.0706858347057703*b1133
        - 0.0962112750161874*b1134 - 0.125663706143592*b1135
        - 0.159043128087983*b1136 - 0.196349540849362*b1137
        - 0.282743338823081*b1138 - 0.38484510006475*b1139
        - 0.502654824574367*b1140 =E= 0;

e434..    x238 - 0.00785398163397448*b1141 - 0.0122718463030851*b1142
        - 0.0176714586764426*b1143 - 0.0314159265358979*b1144
        - 0.0490873852123405*b1145 - 0.0706858347057703*b1146
        - 0.0962112750161874*b1147 - 0.125663706143592*b1148
        - 0.159043128087983*b1149 - 0.196349540849362*b1150
        - 0.282743338823081*b1151 - 0.38484510006475*b1152
        - 0.502654824574367*b1153 =E= 0;

e435..    x239 - 0.00785398163397448*b1154 - 0.0122718463030851*b1155
        - 0.0176714586764426*b1156 - 0.0314159265358979*b1157
        - 0.0490873852123405*b1158 - 0.0706858347057703*b1159
        - 0.0962112750161874*b1160 - 0.125663706143592*b1161
        - 0.159043128087983*b1162 - 0.196349540849362*b1163
        - 0.282743338823081*b1164 - 0.38484510006475*b1165
        - 0.502654824574367*b1166 =E= 0;

e436..    x240 - 0.00785398163397448*b1167 - 0.0122718463030851*b1168
        - 0.0176714586764426*b1169 - 0.0314159265358979*b1170
        - 0.0490873852123405*b1171 - 0.0706858347057703*b1172
        - 0.0962112750161874*b1173 - 0.125663706143592*b1174
        - 0.159043128087983*b1175 - 0.196349540849362*b1176
        - 0.282743338823081*b1177 - 0.38484510006475*b1178
        - 0.502654824574367*b1179 =E= 0;

e437..    x241 - 0.00785398163397448*b1180 - 0.0122718463030851*b1181
        - 0.0176714586764426*b1182 - 0.0314159265358979*b1183
        - 0.0490873852123405*b1184 - 0.0706858347057703*b1185
        - 0.0962112750161874*b1186 - 0.125663706143592*b1187
        - 0.159043128087983*b1188 - 0.196349540849362*b1189
        - 0.282743338823081*b1190 - 0.38484510006475*b1191
        - 0.502654824574367*b1192 =E= 0;

e438..    x242 - 0.00785398163397448*b1193 - 0.0122718463030851*b1194
        - 0.0176714586764426*b1195 - 0.0314159265358979*b1196
        - 0.0490873852123405*b1197 - 0.0706858347057703*b1198
        - 0.0962112750161874*b1199 - 0.125663706143592*b1200
        - 0.159043128087983*b1201 - 0.196349540849362*b1202
        - 0.282743338823081*b1203 - 0.38484510006475*b1204
        - 0.502654824574367*b1205 =E= 0;

e439..    x243 - 0.00785398163397448*b1206 - 0.0122718463030851*b1207
        - 0.0176714586764426*b1208 - 0.0314159265358979*b1209
        - 0.0490873852123405*b1210 - 0.0706858347057703*b1211
        - 0.0962112750161874*b1212 - 0.125663706143592*b1213
        - 0.159043128087983*b1214 - 0.196349540849362*b1215
        - 0.282743338823081*b1216 - 0.38484510006475*b1217
        - 0.502654824574367*b1218 =E= 0;

e440..    x244 - 0.00785398163397448*b1219 - 0.0122718463030851*b1220
        - 0.0176714586764426*b1221 - 0.0314159265358979*b1222
        - 0.0490873852123405*b1223 - 0.0706858347057703*b1224
        - 0.0962112750161874*b1225 - 0.125663706143592*b1226
        - 0.159043128087983*b1227 - 0.196349540849362*b1228
        - 0.282743338823081*b1229 - 0.38484510006475*b1230
        - 0.502654824574367*b1231 =E= 0;

e441..    x245 - 0.00785398163397448*b1232 - 0.0122718463030851*b1233
        - 0.0176714586764426*b1234 - 0.0314159265358979*b1235
        - 0.0490873852123405*b1236 - 0.0706858347057703*b1237
        - 0.0962112750161874*b1238 - 0.125663706143592*b1239
        - 0.159043128087983*b1240 - 0.196349540849362*b1241
        - 0.282743338823081*b1242 - 0.38484510006475*b1243
        - 0.502654824574367*b1244 =E= 0;

e442..    x246 - 0.00785398163397448*b1245 - 0.0122718463030851*b1246
        - 0.0176714586764426*b1247 - 0.0314159265358979*b1248
        - 0.0490873852123405*b1249 - 0.0706858347057703*b1250
        - 0.0962112750161874*b1251 - 0.125663706143592*b1252
        - 0.159043128087983*b1253 - 0.196349540849362*b1254
        - 0.282743338823081*b1255 - 0.38484510006475*b1256
        - 0.502654824574367*b1257 =E= 0;

e443..    x247 - 0.00785398163397448*b1258 - 0.0122718463030851*b1259
        - 0.0176714586764426*b1260 - 0.0314159265358979*b1261
        - 0.0490873852123405*b1262 - 0.0706858347057703*b1263
        - 0.0962112750161874*b1264 - 0.125663706143592*b1265
        - 0.159043128087983*b1266 - 0.196349540849362*b1267
        - 0.282743338823081*b1268 - 0.38484510006475*b1269
        - 0.502654824574367*b1270 =E= 0;

e444..    x248 - 0.00785398163397448*b1271 - 0.0122718463030851*b1272
        - 0.0176714586764426*b1273 - 0.0314159265358979*b1274
        - 0.0490873852123405*b1275 - 0.0706858347057703*b1276
        - 0.0962112750161874*b1277 - 0.125663706143592*b1278
        - 0.159043128087983*b1279 - 0.196349540849362*b1280
        - 0.282743338823081*b1281 - 0.38484510006475*b1282
        - 0.502654824574367*b1283 =E= 0;

e445..    x249 - 0.00785398163397448*b1284 - 0.0122718463030851*b1285
        - 0.0176714586764426*b1286 - 0.0314159265358979*b1287
        - 0.0490873852123405*b1288 - 0.0706858347057703*b1289
        - 0.0962112750161874*b1290 - 0.125663706143592*b1291
        - 0.159043128087983*b1292 - 0.196349540849362*b1293
        - 0.282743338823081*b1294 - 0.38484510006475*b1295
        - 0.502654824574367*b1296 =E= 0;

e446..    x250 - 0.00785398163397448*b1297 - 0.0122718463030851*b1298
        - 0.0176714586764426*b1299 - 0.0314159265358979*b1300
        - 0.0490873852123405*b1301 - 0.0706858347057703*b1302
        - 0.0962112750161874*b1303 - 0.125663706143592*b1304
        - 0.159043128087983*b1305 - 0.196349540849362*b1306
        - 0.282743338823081*b1307 - 0.38484510006475*b1308
        - 0.502654824574367*b1309 =E= 0;

e447..    x251 - 0.00785398163397448*b1310 - 0.0122718463030851*b1311
        - 0.0176714586764426*b1312 - 0.0314159265358979*b1313
        - 0.0490873852123405*b1314 - 0.0706858347057703*b1315
        - 0.0962112750161874*b1316 - 0.125663706143592*b1317
        - 0.159043128087983*b1318 - 0.196349540849362*b1319
        - 0.282743338823081*b1320 - 0.38484510006475*b1321
        - 0.502654824574367*b1322 =E= 0;

e448..    x252 - 0.00785398163397448*b1323 - 0.0122718463030851*b1324
        - 0.0176714586764426*b1325 - 0.0314159265358979*b1326
        - 0.0490873852123405*b1327 - 0.0706858347057703*b1328
        - 0.0962112750161874*b1329 - 0.125663706143592*b1330
        - 0.159043128087983*b1331 - 0.196349540849362*b1332
        - 0.282743338823081*b1333 - 0.38484510006475*b1334
        - 0.502654824574367*b1335 =E= 0;

e449..    x253 - 0.00785398163397448*b1336 - 0.0122718463030851*b1337
        - 0.0176714586764426*b1338 - 0.0314159265358979*b1339
        - 0.0490873852123405*b1340 - 0.0706858347057703*b1341
        - 0.0962112750161874*b1342 - 0.125663706143592*b1343
        - 0.159043128087983*b1344 - 0.196349540849362*b1345
        - 0.282743338823081*b1346 - 0.38484510006475*b1347
        - 0.502654824574367*b1348 =E= 0;

e450..    x254 - 0.00785398163397448*b1349 - 0.0122718463030851*b1350
        - 0.0176714586764426*b1351 - 0.0314159265358979*b1352
        - 0.0490873852123405*b1353 - 0.0706858347057703*b1354
        - 0.0962112750161874*b1355 - 0.125663706143592*b1356
        - 0.159043128087983*b1357 - 0.196349540849362*b1358
        - 0.282743338823081*b1359 - 0.38484510006475*b1360
        - 0.502654824574367*b1361 =E= 0;

e451..    x255 - 0.00785398163397448*b1362 - 0.0122718463030851*b1363
        - 0.0176714586764426*b1364 - 0.0314159265358979*b1365
        - 0.0490873852123405*b1366 - 0.0706858347057703*b1367
        - 0.0962112750161874*b1368 - 0.125663706143592*b1369
        - 0.159043128087983*b1370 - 0.196349540849362*b1371
        - 0.282743338823081*b1372 - 0.38484510006475*b1373
        - 0.502654824574367*b1374 =E= 0;

e452..    x256 - 0.00785398163397448*b1375 - 0.0122718463030851*b1376
        - 0.0176714586764426*b1377 - 0.0314159265358979*b1378
        - 0.0490873852123405*b1379 - 0.0706858347057703*b1380
        - 0.0962112750161874*b1381 - 0.125663706143592*b1382
        - 0.159043128087983*b1383 - 0.196349540849362*b1384
        - 0.282743338823081*b1385 - 0.38484510006475*b1386
        - 0.502654824574367*b1387 =E= 0;

e453..    x257 - 0.00785398163397448*b1388 - 0.0122718463030851*b1389
        - 0.0176714586764426*b1390 - 0.0314159265358979*b1391
        - 0.0490873852123405*b1392 - 0.0706858347057703*b1393
        - 0.0962112750161874*b1394 - 0.125663706143592*b1395
        - 0.159043128087983*b1396 - 0.196349540849362*b1397
        - 0.282743338823081*b1398 - 0.38484510006475*b1399
        - 0.502654824574367*b1400 =E= 0;

e454..    x258 - 0.00785398163397448*b1401 - 0.0122718463030851*b1402
        - 0.0176714586764426*b1403 - 0.0314159265358979*b1404
        - 0.0490873852123405*b1405 - 0.0706858347057703*b1406
        - 0.0962112750161874*b1407 - 0.125663706143592*b1408
        - 0.159043128087983*b1409 - 0.196349540849362*b1410
        - 0.282743338823081*b1411 - 0.38484510006475*b1412
        - 0.502654824574367*b1413 =E= 0;

e455..    x259 - 0.00785398163397448*b1414 - 0.0122718463030851*b1415
        - 0.0176714586764426*b1416 - 0.0314159265358979*b1417
        - 0.0490873852123405*b1418 - 0.0706858347057703*b1419
        - 0.0962112750161874*b1420 - 0.125663706143592*b1421
        - 0.159043128087983*b1422 - 0.196349540849362*b1423
        - 0.282743338823081*b1424 - 0.38484510006475*b1425
        - 0.502654824574367*b1426 =E= 0;

e456..    x260 - 0.00785398163397448*b1427 - 0.0122718463030851*b1428
        - 0.0176714586764426*b1429 - 0.0314159265358979*b1430
        - 0.0490873852123405*b1431 - 0.0706858347057703*b1432
        - 0.0962112750161874*b1433 - 0.125663706143592*b1434
        - 0.159043128087983*b1435 - 0.196349540849362*b1436
        - 0.282743338823081*b1437 - 0.38484510006475*b1438
        - 0.502654824574367*b1439 =E= 0;

e457..    x261 - 0.00785398163397448*b1440 - 0.0122718463030851*b1441
        - 0.0176714586764426*b1442 - 0.0314159265358979*b1443
        - 0.0490873852123405*b1444 - 0.0706858347057703*b1445
        - 0.0962112750161874*b1446 - 0.125663706143592*b1447
        - 0.159043128087983*b1448 - 0.196349540849362*b1449
        - 0.282743338823081*b1450 - 0.38484510006475*b1451
        - 0.502654824574367*b1452 =E= 0;

e458..    x262 - 0.00785398163397448*b1453 - 0.0122718463030851*b1454
        - 0.0176714586764426*b1455 - 0.0314159265358979*b1456
        - 0.0490873852123405*b1457 - 0.0706858347057703*b1458
        - 0.0962112750161874*b1459 - 0.125663706143592*b1460
        - 0.159043128087983*b1461 - 0.196349540849362*b1462
        - 0.282743338823081*b1463 - 0.38484510006475*b1464
        - 0.502654824574367*b1465 =E= 0;

e459..    x263 - 0.00785398163397448*b1466 - 0.0122718463030851*b1467
        - 0.0176714586764426*b1468 - 0.0314159265358979*b1469
        - 0.0490873852123405*b1470 - 0.0706858347057703*b1471
        - 0.0962112750161874*b1472 - 0.125663706143592*b1473
        - 0.159043128087983*b1474 - 0.196349540849362*b1475
        - 0.282743338823081*b1476 - 0.38484510006475*b1477
        - 0.502654824574367*b1478 =E= 0;

e460..    x264 - 0.00785398163397448*b1479 - 0.0122718463030851*b1480
        - 0.0176714586764426*b1481 - 0.0314159265358979*b1482
        - 0.0490873852123405*b1483 - 0.0706858347057703*b1484
        - 0.0962112750161874*b1485 - 0.125663706143592*b1486
        - 0.159043128087983*b1487 - 0.196349540849362*b1488
        - 0.282743338823081*b1489 - 0.38484510006475*b1490
        - 0.502654824574367*b1491 =E= 0;

e461..    x265 - 0.00785398163397448*b1492 - 0.0122718463030851*b1493
        - 0.0176714586764426*b1494 - 0.0314159265358979*b1495
        - 0.0490873852123405*b1496 - 0.0706858347057703*b1497
        - 0.0962112750161874*b1498 - 0.125663706143592*b1499
        - 0.159043128087983*b1500 - 0.196349540849362*b1501
        - 0.282743338823081*b1502 - 0.38484510006475*b1503
        - 0.502654824574367*b1504 =E= 0;

e462..    x266 - 0.00785398163397448*b1505 - 0.0122718463030851*b1506
        - 0.0176714586764426*b1507 - 0.0314159265358979*b1508
        - 0.0490873852123405*b1509 - 0.0706858347057703*b1510
        - 0.0962112750161874*b1511 - 0.125663706143592*b1512
        - 0.159043128087983*b1513 - 0.196349540849362*b1514
        - 0.282743338823081*b1515 - 0.38484510006475*b1516
        - 0.502654824574367*b1517 =E= 0;

e463..    x267 - 0.00785398163397448*b1518 - 0.0122718463030851*b1519
        - 0.0176714586764426*b1520 - 0.0314159265358979*b1521
        - 0.0490873852123405*b1522 - 0.0706858347057703*b1523
        - 0.0962112750161874*b1524 - 0.125663706143592*b1525
        - 0.159043128087983*b1526 - 0.196349540849362*b1527
        - 0.282743338823081*b1528 - 0.38484510006475*b1529
        - 0.502654824574367*b1530 =E= 0;

e464..    x268 - 0.00785398163397448*b1531 - 0.0122718463030851*b1532
        - 0.0176714586764426*b1533 - 0.0314159265358979*b1534
        - 0.0490873852123405*b1535 - 0.0706858347057703*b1536
        - 0.0962112750161874*b1537 - 0.125663706143592*b1538
        - 0.159043128087983*b1539 - 0.196349540849362*b1540
        - 0.282743338823081*b1541 - 0.38484510006475*b1542
        - 0.502654824574367*b1543 =E= 0;

e465..    x269 - 0.00785398163397448*b1544 - 0.0122718463030851*b1545
        - 0.0176714586764426*b1546 - 0.0314159265358979*b1547
        - 0.0490873852123405*b1548 - 0.0706858347057703*b1549
        - 0.0962112750161874*b1550 - 0.125663706143592*b1551
        - 0.159043128087983*b1552 - 0.196349540849362*b1553
        - 0.282743338823081*b1554 - 0.38484510006475*b1555
        - 0.502654824574367*b1556 =E= 0;

e466..    b270 + b271 + b272 + b273 + b274 + b275 + b276 + b277 + b278 + b279
        + b280 + b281 + b282 =E= 1;

e467..    b283 + b284 + b285 + b286 + b287 + b288 + b289 + b290 + b291 + b292
        + b293 + b294 + b295 =E= 1;

e468..    b296 + b297 + b298 + b299 + b300 + b301 + b302 + b303 + b304 + b305
        + b306 + b307 + b308 =E= 1;

e469..    b309 + b310 + b311 + b312 + b313 + b314 + b315 + b316 + b317 + b318
        + b319 + b320 + b321 =E= 1;

e470..    b322 + b323 + b324 + b325 + b326 + b327 + b328 + b329 + b330 + b331
        + b332 + b333 + b334 =E= 1;

e471..    b335 + b336 + b337 + b338 + b339 + b340 + b341 + b342 + b343 + b344
        + b345 + b346 + b347 =E= 1;

e472..    b348 + b349 + b350 + b351 + b352 + b353 + b354 + b355 + b356 + b357
        + b358 + b359 + b360 =E= 1;

e473..    b361 + b362 + b363 + b364 + b365 + b366 + b367 + b368 + b369 + b370
        + b371 + b372 + b373 =E= 1;

e474..    b374 + b375 + b376 + b377 + b378 + b379 + b380 + b381 + b382 + b383
        + b384 + b385 + b386 =E= 1;

e475..    b387 + b388 + b389 + b390 + b391 + b392 + b393 + b394 + b395 + b396
        + b397 + b398 + b399 =E= 1;

e476..    b400 + b401 + b402 + b403 + b404 + b405 + b406 + b407 + b408 + b409
        + b410 + b411 + b412 =E= 1;

e477..    b413 + b414 + b415 + b416 + b417 + b418 + b419 + b420 + b421 + b422
        + b423 + b424 + b425 =E= 1;

e478..    b426 + b427 + b428 + b429 + b430 + b431 + b432 + b433 + b434 + b435
        + b436 + b437 + b438 =E= 1;

e479..    b439 + b440 + b441 + b442 + b443 + b444 + b445 + b446 + b447 + b448
        + b449 + b450 + b451 =E= 1;

e480..    b452 + b453 + b454 + b455 + b456 + b457 + b458 + b459 + b460 + b461
        + b462 + b463 + b464 =E= 1;

e481..    b465 + b466 + b467 + b468 + b469 + b470 + b471 + b472 + b473 + b474
        + b475 + b476 + b477 =E= 1;

e482..    b478 + b479 + b480 + b481 + b482 + b483 + b484 + b485 + b486 + b487
        + b488 + b489 + b490 =E= 1;

e483..    b491 + b492 + b493 + b494 + b495 + b496 + b497 + b498 + b499 + b500
        + b501 + b502 + b503 =E= 1;

e484..    b504 + b505 + b506 + b507 + b508 + b509 + b510 + b511 + b512 + b513
        + b514 + b515 + b516 =E= 1;

e485..    b517 + b518 + b519 + b520 + b521 + b522 + b523 + b524 + b525 + b526
        + b527 + b528 + b529 =E= 1;

e486..    b530 + b531 + b532 + b533 + b534 + b535 + b536 + b537 + b538 + b539
        + b540 + b541 + b542 =E= 1;

e487..    b543 + b544 + b545 + b546 + b547 + b548 + b549 + b550 + b551 + b552
        + b553 + b554 + b555 =E= 1;

e488..    b556 + b557 + b558 + b559 + b560 + b561 + b562 + b563 + b564 + b565
        + b566 + b567 + b568 =E= 1;

e489..    b569 + b570 + b571 + b572 + b573 + b574 + b575 + b576 + b577 + b578
        + b579 + b580 + b581 =E= 1;

e490..    b582 + b583 + b584 + b585 + b586 + b587 + b588 + b589 + b590 + b591
        + b592 + b593 + b594 =E= 1;

e491..    b595 + b596 + b597 + b598 + b599 + b600 + b601 + b602 + b603 + b604
        + b605 + b606 + b607 =E= 1;

e492..    b608 + b609 + b610 + b611 + b612 + b613 + b614 + b615 + b616 + b617
        + b618 + b619 + b620 =E= 1;

e493..    b621 + b622 + b623 + b624 + b625 + b626 + b627 + b628 + b629 + b630
        + b631 + b632 + b633 =E= 1;

e494..    b634 + b635 + b636 + b637 + b638 + b639 + b640 + b641 + b642 + b643
        + b644 + b645 + b646 =E= 1;

e495..    b647 + b648 + b649 + b650 + b651 + b652 + b653 + b654 + b655 + b656
        + b657 + b658 + b659 =E= 1;

e496..    b660 + b661 + b662 + b663 + b664 + b665 + b666 + b667 + b668 + b669
        + b670 + b671 + b672 =E= 1;

e497..    b673 + b674 + b675 + b676 + b677 + b678 + b679 + b680 + b681 + b682
        + b683 + b684 + b685 =E= 1;

e498..    b686 + b687 + b688 + b689 + b690 + b691 + b692 + b693 + b694 + b695
        + b696 + b697 + b698 =E= 1;

e499..    b699 + b700 + b701 + b702 + b703 + b704 + b705 + b706 + b707 + b708
        + b709 + b710 + b711 =E= 1;

e500..    b712 + b713 + b714 + b715 + b716 + b717 + b718 + b719 + b720 + b721
        + b722 + b723 + b724 =E= 1;

e501..    b725 + b726 + b727 + b728 + b729 + b730 + b731 + b732 + b733 + b734
        + b735 + b736 + b737 =E= 1;

e502..    b738 + b739 + b740 + b741 + b742 + b743 + b744 + b745 + b746 + b747
        + b748 + b749 + b750 =E= 1;

e503..    b751 + b752 + b753 + b754 + b755 + b756 + b757 + b758 + b759 + b760
        + b761 + b762 + b763 =E= 1;

e504..    b764 + b765 + b766 + b767 + b768 + b769 + b770 + b771 + b772 + b773
        + b774 + b775 + b776 =E= 1;

e505..    b777 + b778 + b779 + b780 + b781 + b782 + b783 + b784 + b785 + b786
        + b787 + b788 + b789 =E= 1;

e506..    b790 + b791 + b792 + b793 + b794 + b795 + b796 + b797 + b798 + b799
        + b800 + b801 + b802 =E= 1;

e507..    b803 + b804 + b805 + b806 + b807 + b808 + b809 + b810 + b811 + b812
        + b813 + b814 + b815 =E= 1;

e508..    b816 + b817 + b818 + b819 + b820 + b821 + b822 + b823 + b824 + b825
        + b826 + b827 + b828 =E= 1;

e509..    b829 + b830 + b831 + b832 + b833 + b834 + b835 + b836 + b837 + b838
        + b839 + b840 + b841 =E= 1;

e510..    b842 + b843 + b844 + b845 + b846 + b847 + b848 + b849 + b850 + b851
        + b852 + b853 + b854 =E= 1;

e511..    b855 + b856 + b857 + b858 + b859 + b860 + b861 + b862 + b863 + b864
        + b865 + b866 + b867 =E= 1;

e512..    b868 + b869 + b870 + b871 + b872 + b873 + b874 + b875 + b876 + b877
        + b878 + b879 + b880 =E= 1;

e513..    b881 + b882 + b883 + b884 + b885 + b886 + b887 + b888 + b889 + b890
        + b891 + b892 + b893 =E= 1;

e514..    b894 + b895 + b896 + b897 + b898 + b899 + b900 + b901 + b902 + b903
        + b904 + b905 + b906 =E= 1;

e515..    b907 + b908 + b909 + b910 + b911 + b912 + b913 + b914 + b915 + b916
        + b917 + b918 + b919 =E= 1;

e516..    b920 + b921 + b922 + b923 + b924 + b925 + b926 + b927 + b928 + b929
        + b930 + b931 + b932 =E= 1;

e517..    b933 + b934 + b935 + b936 + b937 + b938 + b939 + b940 + b941 + b942
        + b943 + b944 + b945 =E= 1;

e518..    b946 + b947 + b948 + b949 + b950 + b951 + b952 + b953 + b954 + b955
        + b956 + b957 + b958 =E= 1;

e519..    b959 + b960 + b961 + b962 + b963 + b964 + b965 + b966 + b967 + b968
        + b969 + b970 + b971 =E= 1;

e520..    b972 + b973 + b974 + b975 + b976 + b977 + b978 + b979 + b980 + b981
        + b982 + b983 + b984 =E= 1;

e521..    b985 + b986 + b987 + b988 + b989 + b990 + b991 + b992 + b993 + b994
        + b995 + b996 + b997 =E= 1;

e522..    b998 + b999 + b1000 + b1001 + b1002 + b1003 + b1004 + b1005 + b1006
        + b1007 + b1008 + b1009 + b1010 =E= 1;

e523..    b1011 + b1012 + b1013 + b1014 + b1015 + b1016 + b1017 + b1018 + b1019
        + b1020 + b1021 + b1022 + b1023 =E= 1;

e524..    b1024 + b1025 + b1026 + b1027 + b1028 + b1029 + b1030 + b1031 + b1032
        + b1033 + b1034 + b1035 + b1036 =E= 1;

e525..    b1037 + b1038 + b1039 + b1040 + b1041 + b1042 + b1043 + b1044 + b1045
        + b1046 + b1047 + b1048 + b1049 =E= 1;

e526..    b1050 + b1051 + b1052 + b1053 + b1054 + b1055 + b1056 + b1057 + b1058
        + b1059 + b1060 + b1061 + b1062 =E= 1;

e527..    b1063 + b1064 + b1065 + b1066 + b1067 + b1068 + b1069 + b1070 + b1071
        + b1072 + b1073 + b1074 + b1075 =E= 1;

e528..    b1076 + b1077 + b1078 + b1079 + b1080 + b1081 + b1082 + b1083 + b1084
        + b1085 + b1086 + b1087 + b1088 =E= 1;

e529..    b1089 + b1090 + b1091 + b1092 + b1093 + b1094 + b1095 + b1096 + b1097
        + b1098 + b1099 + b1100 + b1101 =E= 1;

e530..    b1102 + b1103 + b1104 + b1105 + b1106 + b1107 + b1108 + b1109 + b1110
        + b1111 + b1112 + b1113 + b1114 =E= 1;

e531..    b1115 + b1116 + b1117 + b1118 + b1119 + b1120 + b1121 + b1122 + b1123
        + b1124 + b1125 + b1126 + b1127 =E= 1;

e532..    b1128 + b1129 + b1130 + b1131 + b1132 + b1133 + b1134 + b1135 + b1136
        + b1137 + b1138 + b1139 + b1140 =E= 1;

e533..    b1141 + b1142 + b1143 + b1144 + b1145 + b1146 + b1147 + b1148 + b1149
        + b1150 + b1151 + b1152 + b1153 =E= 1;

e534..    b1154 + b1155 + b1156 + b1157 + b1158 + b1159 + b1160 + b1161 + b1162
        + b1163 + b1164 + b1165 + b1166 =E= 1;

e535..    b1167 + b1168 + b1169 + b1170 + b1171 + b1172 + b1173 + b1174 + b1175
        + b1176 + b1177 + b1178 + b1179 =E= 1;

e536..    b1180 + b1181 + b1182 + b1183 + b1184 + b1185 + b1186 + b1187 + b1188
        + b1189 + b1190 + b1191 + b1192 =E= 1;

e537..    b1193 + b1194 + b1195 + b1196 + b1197 + b1198 + b1199 + b1200 + b1201
        + b1202 + b1203 + b1204 + b1205 =E= 1;

e538..    b1206 + b1207 + b1208 + b1209 + b1210 + b1211 + b1212 + b1213 + b1214
        + b1215 + b1216 + b1217 + b1218 =E= 1;

e539..    b1219 + b1220 + b1221 + b1222 + b1223 + b1224 + b1225 + b1226 + b1227
        + b1228 + b1229 + b1230 + b1231 =E= 1;

e540..    b1232 + b1233 + b1234 + b1235 + b1236 + b1237 + b1238 + b1239 + b1240
        + b1241 + b1242 + b1243 + b1244 =E= 1;

e541..    b1245 + b1246 + b1247 + b1248 + b1249 + b1250 + b1251 + b1252 + b1253
        + b1254 + b1255 + b1256 + b1257 =E= 1;

e542..    b1258 + b1259 + b1260 + b1261 + b1262 + b1263 + b1264 + b1265 + b1266
        + b1267 + b1268 + b1269 + b1270 =E= 1;

e543..    b1271 + b1272 + b1273 + b1274 + b1275 + b1276 + b1277 + b1278 + b1279
        + b1280 + b1281 + b1282 + b1283 =E= 1;

e544..    b1284 + b1285 + b1286 + b1287 + b1288 + b1289 + b1290 + b1291 + b1292
        + b1293 + b1294 + b1295 + b1296 =E= 1;

e545..    b1297 + b1298 + b1299 + b1300 + b1301 + b1302 + b1303 + b1304 + b1305
        + b1306 + b1307 + b1308 + b1309 =E= 1;

e546..    b1310 + b1311 + b1312 + b1313 + b1314 + b1315 + b1316 + b1317 + b1318
        + b1319 + b1320 + b1321 + b1322 =E= 1;

e547..    b1323 + b1324 + b1325 + b1326 + b1327 + b1328 + b1329 + b1330 + b1331
        + b1332 + b1333 + b1334 + b1335 =E= 1;

e548..    b1336 + b1337 + b1338 + b1339 + b1340 + b1341 + b1342 + b1343 + b1344
        + b1345 + b1346 + b1347 + b1348 =E= 1;

e549..    b1349 + b1350 + b1351 + b1352 + b1353 + b1354 + b1355 + b1356 + b1357
        + b1358 + b1359 + b1360 + b1361 =E= 1;

e550..    b1362 + b1363 + b1364 + b1365 + b1366 + b1367 + b1368 + b1369 + b1370
        + b1371 + b1372 + b1373 + b1374 =E= 1;

e551..    b1375 + b1376 + b1377 + b1378 + b1379 + b1380 + b1381 + b1382 + b1383
        + b1384 + b1385 + b1386 + b1387 =E= 1;

e552..    b1388 + b1389 + b1390 + b1391 + b1392 + b1393 + b1394 + b1395 + b1396
        + b1397 + b1398 + b1399 + b1400 =E= 1;

e553..    b1401 + b1402 + b1403 + b1404 + b1405 + b1406 + b1407 + b1408 + b1409
        + b1410 + b1411 + b1412 + b1413 =E= 1;

e554..    b1414 + b1415 + b1416 + b1417 + b1418 + b1419 + b1420 + b1421 + b1422
        + b1423 + b1424 + b1425 + b1426 =E= 1;

e555..    b1427 + b1428 + b1429 + b1430 + b1431 + b1432 + b1433 + b1434 + b1435
        + b1436 + b1437 + b1438 + b1439 =E= 1;

e556..    b1440 + b1441 + b1442 + b1443 + b1444 + b1445 + b1446 + b1447 + b1448
        + b1449 + b1450 + b1451 + b1452 =E= 1;

e557..    b1453 + b1454 + b1455 + b1456 + b1457 + b1458 + b1459 + b1460 + b1461
        + b1462 + b1463 + b1464 + b1465 =E= 1;

e558..    b1466 + b1467 + b1468 + b1469 + b1470 + b1471 + b1472 + b1473 + b1474
        + b1475 + b1476 + b1477 + b1478 =E= 1;

e559..    b1479 + b1480 + b1481 + b1482 + b1483 + b1484 + b1485 + b1486 + b1487
        + b1488 + b1489 + b1490 + b1491 =E= 1;

e560..    b1492 + b1493 + b1494 + b1495 + b1496 + b1497 + b1498 + b1499 + b1500
        + b1501 + b1502 + b1503 + b1504 =E= 1;

e561..    b1505 + b1506 + b1507 + b1508 + b1509 + b1510 + b1511 + b1512 + b1513
        + b1514 + b1515 + b1516 + b1517 =E= 1;

e562..    b1518 + b1519 + b1520 + b1521 + b1522 + b1523 + b1524 + b1525 + b1526
        + b1527 + b1528 + b1529 + b1530 =E= 1;

e563..    b1531 + b1532 + b1533 + b1534 + b1535 + b1536 + b1537 + b1538 + b1539
        + b1540 + b1541 + b1542 + b1543 =E= 1;

e564..    b1544 + b1545 + b1546 + b1547 + b1548 + b1549 + b1550 + b1551 + b1552
        + b1553 + b1554 + b1555 + b1556 =E= 1;

* set non-default bounds
x1.lo = 22.9; x1.up = 57;
x2.lo = 25; x2.up = 57;
x3.lo = 23.5; x3.up = 57;
x4.lo = 23.8; x4.up = 57;
x5.lo = 22.2; x5.up = 57;
x6.lo = 27; x6.up = 57;
x7.lo = 26.5; x7.up = 57;
x8.lo = 25.2; x8.up = 57;
x9.lo = 24.3; x9.up = 57;
x10.lo = 25.2; x10.up = 57;
x11.lo = 48; x11.up = 57;
x12.lo = 23.2; x12.up = 57;
x13.lo = 23.2; x13.up = 57;
x14.lo = 39.2; x14.up = 57;
x15.fx = 57;
x16.lo = 24; x16.up = 57;
x17.lo = 23.5; x17.up = 57;
x18.lo = 22.8; x18.up = 57;
x19.lo = 22.7; x19.up = 57;
x20.lo = 21.8; x20.up = 57;
x21.lo = 22.1; x21.up = 57;
x22.lo = 22; x22.up = 57;
x23.lo = 38.7; x23.up = 57;
x24.lo = 23.2; x24.up = 57;
x25.lo = 21.6; x25.up = 57;
x26.lo = 23.8; x26.up = 57;
x27.lo = 24.3; x27.up = 57;
x28.lo = 23.6; x28.up = 57;
x29.lo = 23.2; x29.up = 57;
x30.lo = 22.8; x30.up = 57;
x31.lo = 21.8; x31.up = 57;
x32.lo = 23.8; x32.up = 57;
x33.lo = 22.9; x33.up = 57;
x34.lo = 23.7; x34.up = 57;
x35.lo = 22.1; x35.up = 57;
x36.lo = 26.7; x36.up = 57;
x37.lo = 26.7; x37.up = 57;
x38.lo = 24.2; x38.up = 57;
x39.lo = 22.9; x39.up = 57;
x40.lo = 22.9; x40.up = 57;
x41.lo = 48.5; x41.up = 57;
x42.fx = 53.08;
x43.lo = 47.3; x43.up = 57;
x44.lo = 21.1; x44.up = 57;
x45.lo = 22.5; x45.up = 57.4;
x46.lo = 22.8; x46.up = 57;
x47.lo = 23.3; x47.up = 57;
x48.lo = 21.8; x48.up = 57;
x49.lo = 21.8; x49.up = 57;
x50.lo = 21.6; x50.up = 57;
x51.lo = 21.8; x51.up = 57;
x52.lo = 21.6; x52.up = 57;
x53.lo = 23.3; x53.up = 57;
x54.lo = 22.5; x54.up = 57;
x55.lo = 22.8; x55.up = 57;
x56.lo = 23.2; x56.up = 57;
x57.lo = 23.6; x57.up = 57;
x58.lo = 23.8; x58.up = 57;
x59.lo = 23.1; x59.up = 57;
x60.lo = 23; x60.up = 57;
x61.lo = 24.2; x61.up = 57;
x62.fx = 55;
x63.lo = 24.2; x63.up = 57;
x64.lo = 22.1; x64.up = 57;
x65.lo = 22.1; x65.up = 57;
x66.lo = 23.3; x66.up = 57;
x67.lo = 22.1; x67.up = 57;
x68.lo = 21.5; x68.up = 57;
x69.lo = 39.2; x69.up = 57;
x70.lo = 22.1; x70.up = 57;
x71.lo = 21.5; x71.up = 57;
x171.lo = 0.00785398163397448; x171.up = 0.502654824574367;
x172.lo = 0.00785398163397448; x172.up = 0.502654824574367;
x173.lo = 0.00785398163397448; x173.up = 0.502654824574367;
x174.lo = 0.00785398163397448; x174.up = 0.502654824574367;
x175.lo = 0.00785398163397448; x175.up = 0.502654824574367;
x176.lo = 0.00785398163397448; x176.up = 0.502654824574367;
x177.lo = 0.00785398163397448; x177.up = 0.502654824574367;
x178.lo = 0.00785398163397448; x178.up = 0.502654824574367;
x179.lo = 0.00785398163397448; x179.up = 0.502654824574367;
x180.lo = 0.00785398163397448; x180.up = 0.502654824574367;
x181.lo = 0.00785398163397448; x181.up = 0.502654824574367;
x182.lo = 0.00785398163397448; x182.up = 0.502654824574367;
x183.lo = 0.00785398163397448; x183.up = 0.502654824574367;
x184.lo = 0.00785398163397448; x184.up = 0.502654824574367;
x185.lo = 0.00785398163397448; x185.up = 0.502654824574367;
x186.lo = 0.00785398163397448; x186.up = 0.502654824574367;
x187.lo = 0.00785398163397448; x187.up = 0.502654824574367;
x188.lo = 0.00785398163397448; x188.up = 0.502654824574367;
x189.lo = 0.00785398163397448; x189.up = 0.502654824574367;
x190.lo = 0.00785398163397448; x190.up = 0.502654824574367;
x191.lo = 0.00785398163397448; x191.up = 0.502654824574367;
x192.lo = 0.00785398163397448; x192.up = 0.502654824574367;
x193.lo = 0.00785398163397448; x193.up = 0.502654824574367;
x194.lo = 0.00785398163397448; x194.up = 0.502654824574367;
x195.lo = 0.00785398163397448; x195.up = 0.502654824574367;
x196.lo = 0.00785398163397448; x196.up = 0.502654824574367;
x197.lo = 0.00785398163397448; x197.up = 0.502654824574367;
x198.lo = 0.00785398163397448; x198.up = 0.502654824574367;
x199.lo = 0.00785398163397448; x199.up = 0.502654824574367;
x200.lo = 0.00785398163397448; x200.up = 0.502654824574367;
x201.lo = 0.00785398163397448; x201.up = 0.502654824574367;
x202.lo = 0.00785398163397448; x202.up = 0.502654824574367;
x203.lo = 0.00785398163397448; x203.up = 0.502654824574367;
x204.lo = 0.00785398163397448; x204.up = 0.502654824574367;
x205.lo = 0.00785398163397448; x205.up = 0.502654824574367;
x206.lo = 0.00785398163397448; x206.up = 0.502654824574367;
x207.lo = 0.00785398163397448; x207.up = 0.502654824574367;
x208.lo = 0.00785398163397448; x208.up = 0.502654824574367;
x209.lo = 0.00785398163397448; x209.up = 0.502654824574367;
x210.lo = 0.00785398163397448; x210.up = 0.502654824574367;
x211.lo = 0.00785398163397448; x211.up = 0.502654824574367;
x212.lo = 0.00785398163397448; x212.up = 0.502654824574367;
x213.lo = 0.00785398163397448; x213.up = 0.502654824574367;
x214.lo = 0.00785398163397448; x214.up = 0.502654824574367;
x215.lo = 0.00785398163397448; x215.up = 0.502654824574367;
x216.lo = 0.00785398163397448; x216.up = 0.502654824574367;
x217.lo = 0.00785398163397448; x217.up = 0.502654824574367;
x218.lo = 0.00785398163397448; x218.up = 0.502654824574367;
x219.lo = 0.00785398163397448; x219.up = 0.502654824574367;
x220.lo = 0.00785398163397448; x220.up = 0.502654824574367;
x221.lo = 0.00785398163397448; x221.up = 0.502654824574367;
x222.lo = 0.00785398163397448; x222.up = 0.502654824574367;
x223.lo = 0.00785398163397448; x223.up = 0.502654824574367;
x224.lo = 0.00785398163397448; x224.up = 0.502654824574367;
x225.lo = 0.00785398163397448; x225.up = 0.502654824574367;
x226.lo = 0.00785398163397448; x226.up = 0.502654824574367;
x227.lo = 0.00785398163397448; x227.up = 0.502654824574367;
x228.lo = 0.00785398163397448; x228.up = 0.502654824574367;
x229.lo = 0.00785398163397448; x229.up = 0.502654824574367;
x230.lo = 0.00785398163397448; x230.up = 0.502654824574367;
x231.lo = 0.00785398163397448; x231.up = 0.502654824574367;
x232.lo = 0.00785398163397448; x232.up = 0.502654824574367;
x233.lo = 0.00785398163397448; x233.up = 0.502654824574367;
x234.lo = 0.00785398163397448; x234.up = 0.502654824574367;
x235.lo = 0.00785398163397448; x235.up = 0.502654824574367;
x236.lo = 0.00785398163397448; x236.up = 0.502654824574367;
x237.lo = 0.00785398163397448; x237.up = 0.502654824574367;
x238.lo = 0.00785398163397448; x238.up = 0.502654824574367;
x239.lo = 0.00785398163397448; x239.up = 0.502654824574367;
x240.lo = 0.00785398163397448; x240.up = 0.502654824574367;
x241.lo = 0.00785398163397448; x241.up = 0.502654824574367;
x242.lo = 0.00785398163397448; x242.up = 0.502654824574367;
x243.lo = 0.00785398163397448; x243.up = 0.502654824574367;
x244.lo = 0.00785398163397448; x244.up = 0.502654824574367;
x245.lo = 0.00785398163397448; x245.up = 0.502654824574367;
x246.lo = 0.00785398163397448; x246.up = 0.502654824574367;
x247.lo = 0.00785398163397448; x247.up = 0.502654824574367;
x248.lo = 0.00785398163397448; x248.up = 0.502654824574367;
x249.lo = 0.00785398163397448; x249.up = 0.502654824574367;
x250.lo = 0.00785398163397448; x250.up = 0.502654824574367;
x251.lo = 0.00785398163397448; x251.up = 0.502654824574367;
x252.lo = 0.00785398163397448; x252.up = 0.502654824574367;
x253.lo = 0.00785398163397448; x253.up = 0.502654824574367;
x254.lo = 0.00785398163397448; x254.up = 0.502654824574367;
x255.lo = 0.00785398163397448; x255.up = 0.502654824574367;
x256.lo = 0.00785398163397448; x256.up = 0.502654824574367;
x257.lo = 0.00785398163397448; x257.up = 0.502654824574367;
x258.lo = 0.00785398163397448; x258.up = 0.502654824574367;
x259.lo = 0.00785398163397448; x259.up = 0.502654824574367;
x260.lo = 0.00785398163397448; x260.up = 0.502654824574367;
x261.lo = 0.00785398163397448; x261.up = 0.502654824574367;
x262.lo = 0.00785398163397448; x262.up = 0.502654824574367;
x263.lo = 0.00785398163397448; x263.up = 0.502654824574367;
x264.lo = 0.00785398163397448; x264.up = 0.502654824574367;
x265.lo = 0.00785398163397448; x265.up = 0.502654824574367;
x266.lo = 0.00785398163397448; x266.up = 0.502654824574367;
x267.lo = 0.00785398163397448; x267.up = 0.502654824574367;
x268.lo = 0.00785398163397448; x268.up = 0.502654824574367;
x269.lo = 0.00785398163397448; x269.up = 0.502654824574367;

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: 2024-04-02 Git hash: 1dd5fb9b
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