MINLPLib
A Library of Mixed-Integer and Continuous Nonlinear Programming Instances
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Instance emfl050_3_3
Given a set of 50 existing facilities, we compute the coordinates of 9 new facilities on a rectangular grid subject to minimizing the weighted sum of the euclidian distances between facilities.
| Formatsⓘ | ams gms lp mod nl osil pip py |
| Primal Bounds (infeas ≤ 1e-08)ⓘ | |
| Other points (infeas > 1e-08)ⓘ | |
| Dual Boundsⓘ | 0.11605443 (ANTIGONE) 10.40173793 (BARON) 0.11888301 (COUENNE) 10.40173999 (LINDO) 10.40173999 (SCIP) |
| Sourceⓘ | GAMS Model Library model emfl with 50 old facilities and 3x3 new facilities, Nonlinear Optimization Models by Vanderbei |
| Applicationⓘ | Facility Location |
| Added to libraryⓘ | 18 Aug 2014 |
| Problem typeⓘ | QCP |
| #Variablesⓘ | 1611 |
| #Binary Variablesⓘ | 0 |
| #Integer Variablesⓘ | 0 |
| #Nonlinear Variablesⓘ | 1593 |
| #Nonlinear Binary Variablesⓘ | 0 |
| #Nonlinear Integer Variablesⓘ | 0 |
| Objective Senseⓘ | min |
| Objective typeⓘ | linear |
| Objective curvatureⓘ | linear |
| #Nonzeros in Objectiveⓘ | 180 |
| #Nonlinear Nonzeros in Objectiveⓘ | 0 |
| #Constraintsⓘ | 1593 |
| #Linear Constraintsⓘ | 1062 |
| #Quadratic Constraintsⓘ | 531 |
| #Polynomial Constraintsⓘ | 0 |
| #Signomial Constraintsⓘ | 0 |
| #General Nonlinear Constraintsⓘ | 0 |
| Operands in Gen. Nonlin. Functionsⓘ | |
| Constraints curvatureⓘ | indefinite |
| #Nonzeros in Jacobianⓘ | 3843 |
| #Nonlinear Nonzeros in Jacobianⓘ | 1593 |
| #Nonzeros in (Upper-Left) Hessian of Lagrangianⓘ | 1593 |
| #Nonzeros in Diagonal of Hessian of Lagrangianⓘ | 1593 |
| #Blocks in Hessian of Lagrangianⓘ | 1593 |
| Minimal blocksize in Hessian of Lagrangianⓘ | 1 |
| Maximal blocksize in Hessian of Lagrangianⓘ | 1 |
| Average blocksize in Hessian of Lagrangianⓘ | 1.0 |
| #Semicontinuitiesⓘ | 0 |
| #Nonlinear Semicontinuitiesⓘ | 0 |
| #SOS type 1ⓘ | 0 |
| #SOS type 2ⓘ | 0 |
| Minimal coefficientⓘ | 5.0000e-02 |
| Maximal coefficientⓘ | 1.0000e+00 |
| Infeasibility of initial pointⓘ | 0.8315 |
| Sparsity Jacobianⓘ |  |
| Sparsity Hessian of Lagrangianⓘ |  |
$offlisting
*
* Equation counts
* Total E G L N X C B
* 1594 1063 531 0 0 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 1612 1612 0 0 0 0 0 0
* FX 0
*
* Nonzero counts
* Total const NL DLL
* 4024 2431 1593 0
*
* Solve m using NLP minimizing objvar;
Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389
,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415
,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454
,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466,x467
,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479,x480
,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492,x493
,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505,x506
,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518,x519
,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531,x532
,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544,x545
,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557,x558
,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570,x571
,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583,x584
,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596,x597
,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609,x610
,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622,x623
,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635,x636
,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648,x649
,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661,x662
,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673,x674,x675
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,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699,x700,x701
,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712,x713,x714
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,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738,x739,x740
,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751,x752,x753
,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763,x764,x765,x766
,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777,x778,x779
,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790,x791,x792
,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803,x804,x805
,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816,x817,x818
,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829,x830,x831
,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842,x843,x844
,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854,x855,x856,x857
,x858,x859,x860,x861,x862,x863,x864,x865,x866,x867,x868,x869,x870
,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880,x881,x882,x883
,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893,x894,x895,x896
,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906,x907,x908,x909
,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920,x921,x922
,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933,x934,x935
,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946,x947,x948
,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958,x959,x960,x961
,x962,x963,x964,x965,x966,x967,x968,x969,x970,x971,x972,x973,x974
,x975,x976,x977,x978,x979,x980,x981,x982,x983,x984,x985,x986,x987
,x988,x989,x990,x991,x992,x993,x994,x995,x996,x997,x998,x999,x1000
,x1001,x1002,x1003,x1004,x1005,x1006,x1007,x1008,x1009,x1010,x1011
,x1012,x1013,x1014,x1015,x1016,x1017,x1018,x1019,x1020,x1021,x1022
,x1023,x1024,x1025,x1026,x1027,x1028,x1029,x1030,x1031,x1032,x1033
,x1034,x1035,x1036,x1037,x1038,x1039,x1040,x1041,x1042,x1043,x1044
,x1045,x1046,x1047,x1048,x1049,x1050,x1051,x1052,x1053,x1054,x1055
,x1056,x1057,x1058,x1059,x1060,x1061,x1062,x1063,x1064,x1065,x1066
,x1067,x1068,x1069,x1070,x1071,x1072,x1073,x1074,x1075,x1076,x1077
,x1078,x1079,x1080,x1081,x1082,x1083,x1084,x1085,x1086,x1087,x1088
,x1089,x1090,x1091,x1092,x1093,x1094,x1095,x1096,x1097,x1098,x1099
,x1100,x1101,x1102,x1103,x1104,x1105,x1106,x1107,x1108,x1109,x1110
,x1111,x1112,x1113,x1114,x1115,x1116,x1117,x1118,x1119,x1120,x1121
,x1122,x1123,x1124,x1125,x1126,x1127,x1128,x1129,x1130,x1131,x1132
,x1133,x1134,x1135,x1136,x1137,x1138,x1139,x1140,x1141,x1142,x1143
,x1144,x1145,x1146,x1147,x1148,x1149,x1150,x1151,x1152,x1153,x1154
,x1155,x1156,x1157,x1158,x1159,x1160,x1161,x1162,x1163,x1164,x1165
,x1166,x1167,x1168,x1169,x1170,x1171,x1172,x1173,x1174,x1175,x1176
,x1177,x1178,x1179,x1180,x1181,x1182,x1183,x1184,x1185,x1186,x1187
,x1188,x1189,x1190,x1191,x1192,x1193,x1194,x1195,x1196,x1197,x1198
,x1199,x1200,x1201,x1202,x1203,x1204,x1205,x1206,x1207,x1208,x1209
,x1210,x1211,x1212,x1213,x1214,x1215,x1216,x1217,x1218,x1219,x1220
,x1221,x1222,x1223,x1224,x1225,x1226,x1227,x1228,x1229,x1230,x1231
,x1232,x1233,x1234,x1235,x1236,x1237,x1238,x1239,x1240,x1241,x1242
,x1243,x1244,x1245,x1246,x1247,x1248,x1249,x1250,x1251,x1252,x1253
,x1254,x1255,x1256,x1257,x1258,x1259,x1260,x1261,x1262,x1263,x1264
,x1265,x1266,x1267,x1268,x1269,x1270,x1271,x1272,x1273,x1274,x1275
,x1276,x1277,x1278,x1279,x1280,x1281,x1282,x1283,x1284,x1285,x1286
,x1287,x1288,x1289,x1290,x1291,x1292,x1293,x1294,x1295,x1296,x1297
,x1298,x1299,x1300,x1301,x1302,x1303,x1304,x1305,x1306,x1307,x1308
,x1309,x1310,x1311,x1312,x1313,x1314,x1315,x1316,x1317,x1318,x1319
,x1320,x1321,x1322,x1323,x1324,x1325,x1326,x1327,x1328,x1329,x1330
,x1331,x1332,x1333,x1334,x1335,x1336,x1337,x1338,x1339,x1340,x1341
,x1342,x1343,x1344,x1345,x1346,x1347,x1348,x1349,x1350,x1351,x1352
,x1353,x1354,x1355,x1356,x1357,x1358,x1359,x1360,x1361,x1362,x1363
,x1364,x1365,x1366,x1367,x1368,x1369,x1370,x1371,x1372,x1373,x1374
,x1375,x1376,x1377,x1378,x1379,x1380,x1381,x1382,x1383,x1384,x1385
,x1386,x1387,x1388,x1389,x1390,x1391,x1392,x1393,x1394,x1395,x1396
,x1397,x1398,x1399,x1400,x1401,x1402,x1403,x1404,x1405,x1406,x1407
,x1408,x1409,x1410,x1411,x1412,x1413,x1414,x1415,x1416,x1417,x1418
,x1419,x1420,x1421,x1422,x1423,x1424,x1425,x1426,x1427,x1428,x1429
,x1430,x1431,x1432,x1433,x1434,x1435,x1436,x1437,x1438,x1439,x1440
,x1441,x1442,x1443,x1444,x1445,x1446,x1447,x1448,x1449,x1450,x1451
,x1452,x1453,x1454,x1455,x1456,x1457,x1458,x1459,x1460,x1461,x1462
,x1463,x1464,x1465,x1466,x1467,x1468,x1469,x1470,x1471,x1472,x1473
,x1474,x1475,x1476,x1477,x1478,x1479,x1480,x1481,x1482,x1483,x1484
,x1485,x1486,x1487,x1488,x1489,x1490,x1491,x1492,x1493,x1494,x1495
,x1496,x1497,x1498,x1499,x1500,x1501,x1502,x1503,x1504,x1505,x1506
,x1507,x1508,x1509,x1510,x1511,x1512,x1513,x1514,x1515,x1516,x1517
,x1518,x1519,x1520,x1521,x1522,x1523,x1524,x1525,x1526,x1527,x1528
,x1529,x1530,x1531,x1532,x1533,x1534,x1535,x1536,x1537,x1538,x1539
,x1540,x1541,x1542,x1543,x1544,x1545,x1546,x1547,x1548,x1549,x1550
,x1551,x1552,x1553,x1554,x1555,x1556,x1557,x1558,x1559,x1560,x1561
,x1562,x1563,x1564,x1565,x1566,x1567,x1568,x1569,x1570,x1571,x1572
,x1573,x1574,x1575,x1576,x1577,x1578,x1579,x1580,x1581,x1582,x1583
,x1584,x1585,x1586,x1587,x1588,x1589,x1590,x1591,x1592,x1593,x1594
,x1595,x1596,x1597,x1598,x1599,x1600,x1601,x1602,x1603,x1604,x1605
,x1606,x1607,x1608,x1609,x1610,x1611,objvar;
Positive Variables x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17
,x18,x19,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34
,x35,x36,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51
,x52,x53,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68
,x69,x70,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85
,x86,x87,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101
,x102,x103,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114
,x115,x116,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127
,x128,x129,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140
,x141,x142,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153
,x154,x155,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166
,x167,x168,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179
,x180,x181,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192
,x193,x194,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205
,x206,x207,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218
,x219,x220,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231
,x232,x233,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244
,x245,x246,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257
,x258,x259,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270
,x271,x272,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283
,x284,x285,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296
,x297,x298,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309
,x310,x311,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322
,x323,x324,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335
,x336,x337,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348
,x349,x350,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361
,x362,x363,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374
,x375,x376,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387
,x388,x389,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400
,x401,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413
,x414,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426
,x427,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439
,x440,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452
,x453,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465
,x466,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478
,x479,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491
,x492,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504
,x505,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517
,x518,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530
,x531,x532,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543
,x544,x545,x546,x547,x548,x549;
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,e565,e566,e567,e568,e569,e570,e571
,e572,e573,e574,e575,e576,e577,e578,e579,e580,e581,e582,e583,e584
,e585,e586,e587,e588,e589,e590,e591,e592,e593,e594,e595,e596,e597
,e598,e599,e600,e601,e602,e603,e604,e605,e606,e607,e608,e609,e610
,e611,e612,e613,e614,e615,e616,e617,e618,e619,e620,e621,e622,e623
,e624,e625,e626,e627,e628,e629,e630,e631,e632,e633,e634,e635,e636
,e637,e638,e639,e640,e641,e642,e643,e644,e645,e646,e647,e648,e649
,e650,e651,e652,e653,e654,e655,e656,e657,e658,e659,e660,e661,e662
,e663,e664,e665,e666,e667,e668,e669,e670,e671,e672,e673,e674,e675
,e676,e677,e678,e679,e680,e681,e682,e683,e684,e685,e686,e687,e688
,e689,e690,e691,e692,e693,e694,e695,e696,e697,e698,e699,e700,e701
,e702,e703,e704,e705,e706,e707,e708,e709,e710,e711,e712,e713,e714
,e715,e716,e717,e718,e719,e720,e721,e722,e723,e724,e725,e726,e727
,e728,e729,e730,e731,e732,e733,e734,e735,e736,e737,e738,e739,e740
,e741,e742,e743,e744,e745,e746,e747,e748,e749,e750,e751,e752,e753
,e754,e755,e756,e757,e758,e759,e760,e761,e762,e763,e764,e765,e766
,e767,e768,e769,e770,e771,e772,e773,e774,e775,e776,e777,e778,e779
,e780,e781,e782,e783,e784,e785,e786,e787,e788,e789,e790,e791,e792
,e793,e794,e795,e796,e797,e798,e799,e800,e801,e802,e803,e804,e805
,e806,e807,e808,e809,e810,e811,e812,e813,e814,e815,e816,e817,e818
,e819,e820,e821,e822,e823,e824,e825,e826,e827,e828,e829,e830,e831
,e832,e833,e834,e835,e836,e837,e838,e839,e840,e841,e842,e843,e844
,e845,e846,e847,e848,e849,e850,e851,e852,e853,e854,e855,e856,e857
,e858,e859,e860,e861,e862,e863,e864,e865,e866,e867,e868,e869,e870
,e871,e872,e873,e874,e875,e876,e877,e878,e879,e880,e881,e882,e883
,e884,e885,e886,e887,e888,e889,e890,e891,e892,e893,e894,e895,e896
,e897,e898,e899,e900,e901,e902,e903,e904,e905,e906,e907,e908,e909
,e910,e911,e912,e913,e914,e915,e916,e917,e918,e919,e920,e921,e922
,e923,e924,e925,e926,e927,e928,e929,e930,e931,e932,e933,e934,e935
,e936,e937,e938,e939,e940,e941,e942,e943,e944,e945,e946,e947,e948
,e949,e950,e951,e952,e953,e954,e955,e956,e957,e958,e959,e960,e961
,e962,e963,e964,e965,e966,e967,e968,e969,e970,e971,e972,e973,e974
,e975,e976,e977,e978,e979,e980,e981,e982,e983,e984,e985,e986,e987
,e988,e989,e990,e991,e992,e993,e994,e995,e996,e997,e998,e999,e1000
,e1001,e1002,e1003,e1004,e1005,e1006,e1007,e1008,e1009,e1010,e1011
,e1012,e1013,e1014,e1015,e1016,e1017,e1018,e1019,e1020,e1021,e1022
,e1023,e1024,e1025,e1026,e1027,e1028,e1029,e1030,e1031,e1032,e1033
,e1034,e1035,e1036,e1037,e1038,e1039,e1040,e1041,e1042,e1043,e1044
,e1045,e1046,e1047,e1048,e1049,e1050,e1051,e1052,e1053,e1054,e1055
,e1056,e1057,e1058,e1059,e1060,e1061,e1062,e1063,e1064,e1065,e1066
,e1067,e1068,e1069,e1070,e1071,e1072,e1073,e1074,e1075,e1076,e1077
,e1078,e1079,e1080,e1081,e1082,e1083,e1084,e1085,e1086,e1087,e1088
,e1089,e1090,e1091,e1092,e1093,e1094,e1095,e1096,e1097,e1098,e1099
,e1100,e1101,e1102,e1103,e1104,e1105,e1106,e1107,e1108,e1109,e1110
,e1111,e1112,e1113,e1114,e1115,e1116,e1117,e1118,e1119,e1120,e1121
,e1122,e1123,e1124,e1125,e1126,e1127,e1128,e1129,e1130,e1131,e1132
,e1133,e1134,e1135,e1136,e1137,e1138,e1139,e1140,e1141,e1142,e1143
,e1144,e1145,e1146,e1147,e1148,e1149,e1150,e1151,e1152,e1153,e1154
,e1155,e1156,e1157,e1158,e1159,e1160,e1161,e1162,e1163,e1164,e1165
,e1166,e1167,e1168,e1169,e1170,e1171,e1172,e1173,e1174,e1175,e1176
,e1177,e1178,e1179,e1180,e1181,e1182,e1183,e1184,e1185,e1186,e1187
,e1188,e1189,e1190,e1191,e1192,e1193,e1194,e1195,e1196,e1197,e1198
,e1199,e1200,e1201,e1202,e1203,e1204,e1205,e1206,e1207,e1208,e1209
,e1210,e1211,e1212,e1213,e1214,e1215,e1216,e1217,e1218,e1219,e1220
,e1221,e1222,e1223,e1224,e1225,e1226,e1227,e1228,e1229,e1230,e1231
,e1232,e1233,e1234,e1235,e1236,e1237,e1238,e1239,e1240,e1241,e1242
,e1243,e1244,e1245,e1246,e1247,e1248,e1249,e1250,e1251,e1252,e1253
,e1254,e1255,e1256,e1257,e1258,e1259,e1260,e1261,e1262,e1263,e1264
,e1265,e1266,e1267,e1268,e1269,e1270,e1271,e1272,e1273,e1274,e1275
,e1276,e1277,e1278,e1279,e1280,e1281,e1282,e1283,e1284,e1285,e1286
,e1287,e1288,e1289,e1290,e1291,e1292,e1293,e1294,e1295,e1296,e1297
,e1298,e1299,e1300,e1301,e1302,e1303,e1304,e1305,e1306,e1307,e1308
,e1309,e1310,e1311,e1312,e1313,e1314,e1315,e1316,e1317,e1318,e1319
,e1320,e1321,e1322,e1323,e1324,e1325,e1326,e1327,e1328,e1329,e1330
,e1331,e1332,e1333,e1334,e1335,e1336,e1337,e1338,e1339,e1340,e1341
,e1342,e1343,e1344,e1345,e1346,e1347,e1348,e1349,e1350,e1351,e1352
,e1353,e1354,e1355,e1356,e1357,e1358,e1359,e1360,e1361,e1362,e1363
,e1364,e1365,e1366,e1367,e1368,e1369,e1370,e1371,e1372,e1373,e1374
,e1375,e1376,e1377,e1378,e1379,e1380,e1381,e1382,e1383,e1384,e1385
,e1386,e1387,e1388,e1389,e1390,e1391,e1392,e1393,e1394,e1395,e1396
,e1397,e1398,e1399,e1400,e1401,e1402,e1403,e1404,e1405,e1406,e1407
,e1408,e1409,e1410,e1411,e1412,e1413,e1414,e1415,e1416,e1417,e1418
,e1419,e1420,e1421,e1422,e1423,e1424,e1425,e1426,e1427,e1428,e1429
,e1430,e1431,e1432,e1433,e1434,e1435,e1436,e1437,e1438,e1439,e1440
,e1441,e1442,e1443,e1444,e1445,e1446,e1447,e1448,e1449,e1450,e1451
,e1452,e1453,e1454,e1455,e1456,e1457,e1458,e1459,e1460,e1461,e1462
,e1463,e1464,e1465,e1466,e1467,e1468,e1469,e1470,e1471,e1472,e1473
,e1474,e1475,e1476,e1477,e1478,e1479,e1480,e1481,e1482,e1483,e1484
,e1485,e1486,e1487,e1488,e1489,e1490,e1491,e1492,e1493,e1494,e1495
,e1496,e1497,e1498,e1499,e1500,e1501,e1502,e1503,e1504,e1505,e1506
,e1507,e1508,e1509,e1510,e1511,e1512,e1513,e1514,e1515,e1516,e1517
,e1518,e1519,e1520,e1521,e1522,e1523,e1524,e1525,e1526,e1527,e1528
,e1529,e1530,e1531,e1532,e1533,e1534,e1535,e1536,e1537,e1538,e1539
,e1540,e1541,e1542,e1543,e1544,e1545,e1546,e1547,e1548,e1549,e1550
,e1551,e1552,e1553,e1554,e1555,e1556,e1557,e1558,e1559,e1560,e1561
,e1562,e1563,e1564,e1565,e1566,e1567,e1568,e1569,e1570,e1571,e1572
,e1573,e1574,e1575,e1576,e1577,e1578,e1579,e1580,e1581,e1582,e1583
,e1584,e1585,e1586,e1587,e1588,e1589,e1590,e1591,e1592,e1593,e1594;
e1.. - 0.95*x25 - 0.05*x26 - 0.95*x29 - 0.05*x30 - 0.05*x32 - 0.05*x33
- 0.95*x37 - 0.05*x38 - 0.05*x40 - 0.05*x41 - 0.05*x52 - 0.95*x53
- 0.95*x58 - 0.05*x61 - 0.95*x69 - 0.05*x72 - 0.05*x78 - 0.95*x81
- 0.95*x85 - 0.05*x88 - 0.95*x91 - 0.05*x94 - 0.05*x101 - 0.05*x102
- 0.05*x104 - 0.95*x105 - 0.05*x109 - 0.05*x110 - 0.05*x112 - 0.95*x113
- 0.95*x118 - 0.05*x131 - 0.05*x132 - 0.95*x134 - 0.05*x135 - 0.95*x139
- 0.05*x140 - 0.05*x142 - 0.05*x143 - 0.05*x146 - 0.95*x147 - 0.05*x149
- 0.05*x150 - 0.95*x157 - 0.05*x160 - 0.95*x169 - 0.95*x172 - 0.05*x173
- 0.05*x175 - 0.05*x176 - 0.05*x185 - 0.05*x186 - 0.95*x188 - 0.05*x189
- 0.05*x191 - 0.05*x192 - 0.95*x194 - 0.05*x195 - 0.05*x199 - 0.95*x200
- 0.95*x208 - 0.05*x209 - 0.05*x217 - 0.95*x218 - 0.05*x220 - 0.05*x221
- 0.95*x230 - 0.05*x231 - 0.05*x233 - 0.05*x234 - 0.05*x236 - 0.95*x237
- 0.05*x239 - 0.05*x240 - 0.05*x248 - 0.05*x249 - 0.95*x251 - 0.05*x252
- 0.95*x254 - 0.05*x255 - 0.05*x257 - 0.05*x258 - 0.95*x262 - 0.95*x275
- 0.05*x276 - 0.05*x278 - 0.05*x279 - 0.05*x283 - 0.95*x286 - 0.95*x289
- 0.05*x292 - 0.05*x302 - 0.05*x303 - 0.95*x305 - 0.05*x306 - 0.95*x307
- 0.05*x308 - 0.95*x320 - 0.05*x321 - 0.05*x323 - 0.05*x324 - 0.05*x325
- 0.05*x326 - 0.05*x328 - 0.95*x329 - 0.95*x334 - 0.05*x335 - 0.05*x337
- 0.05*x338 - 0.95*x349 - 0.05*x355 - 0.05*x356 - 0.05*x358 - 0.95*x359
- 0.95*x361 - 0.05*x362 - 0.05*x371 - 0.95*x372 - 0.95*x379 - 0.05*x380
- 0.05*x388 - 0.05*x389 - 0.95*x391 - 0.05*x392 - 0.95*x397 - 0.05*x400
- 0.95*x406 - 0.05*x407 - 0.05*x409 - 0.05*x410 - 0.95*x421 - 0.05*x422
- 0.05*x426 - 0.95*x429 - 0.05*x436 - 0.05*x437 - 0.05*x439 - 0.95*x440
- 0.05*x448 - 0.95*x449 - 0.05*x454 - 0.95*x457 - 0.95*x463 - 0.05*x466
- 0.2*x470 - 0.2*x471 - 0.2*x472 - 0.2*x473 - 0.2*x474 - 0.2*x475
- 0.2*x476 - 0.2*x477 - 0.2*x480 - 0.2*x481 - 0.2*x482 - 0.2*x483
- 0.2*x484 - 0.2*x485 - 0.2*x486 - 0.2*x490 - 0.2*x491 - 0.2*x492
- 0.2*x493 - 0.2*x494 - 0.2*x495 - 0.2*x500 - 0.2*x501 - 0.2*x502
- 0.2*x503 - 0.2*x504 - 0.2*x510 - 0.2*x511 - 0.2*x512 - 0.2*x513
- 0.2*x520 - 0.2*x521 - 0.2*x522 - 0.2*x530 - 0.2*x531 - 0.2*x540
+ objvar =E= 0;
e2.. - x1 + x550 =E= -0.171747132;
e3.. - x2 + x551 =E= -0.843266708;
e4.. - x3 + x552 =E= -0.171747132;
e5.. - x4 + x553 =E= -0.843266708;
e6.. - x5 + x554 =E= -0.171747132;
e7.. - x6 + x555 =E= -0.843266708;
e8.. - x7 + x556 =E= -0.171747132;
e9.. - x8 + x557 =E= -0.843266708;
e10.. - x9 + x558 =E= -0.171747132;
e11.. - x10 + x559 =E= -0.843266708;
e12.. - x11 + x560 =E= -0.171747132;
e13.. - x12 + x561 =E= -0.843266708;
e14.. - x13 + x562 =E= -0.171747132;
e15.. - x14 + x563 =E= -0.843266708;
e16.. - x15 + x564 =E= -0.171747132;
e17.. - x16 + x565 =E= -0.843266708;
e18.. - x17 + x566 =E= -0.171747132;
e19.. - x18 + x567 =E= -0.843266708;
e20.. - x1 + x568 =E= -0.550375356;
e21.. - x2 + x569 =E= -0.301137904;
e22.. - x3 + x570 =E= -0.550375356;
e23.. - x4 + x571 =E= -0.301137904;
e24.. - x5 + x572 =E= -0.550375356;
e25.. - x6 + x573 =E= -0.301137904;
e26.. - x7 + x574 =E= -0.550375356;
e27.. - x8 + x575 =E= -0.301137904;
e28.. - x9 + x576 =E= -0.550375356;
e29.. - x10 + x577 =E= -0.301137904;
e30.. - x11 + x578 =E= -0.550375356;
e31.. - x12 + x579 =E= -0.301137904;
e32.. - x13 + x580 =E= -0.550375356;
e33.. - x14 + x581 =E= -0.301137904;
e34.. - x15 + x582 =E= -0.550375356;
e35.. - x16 + x583 =E= -0.301137904;
e36.. - x17 + x584 =E= -0.550375356;
e37.. - x18 + x585 =E= -0.301137904;
e38.. - x1 + x586 =E= -0.292212117;
e39.. - x2 + x587 =E= -0.224052867;
e40.. - x3 + x588 =E= -0.292212117;
e41.. - x4 + x589 =E= -0.224052867;
e42.. - x5 + x590 =E= -0.292212117;
e43.. - x6 + x591 =E= -0.224052867;
e44.. - x7 + x592 =E= -0.292212117;
e45.. - x8 + x593 =E= -0.224052867;
e46.. - x9 + x594 =E= -0.292212117;
e47.. - x10 + x595 =E= -0.224052867;
e48.. - x11 + x596 =E= -0.292212117;
e49.. - x12 + x597 =E= -0.224052867;
e50.. - x13 + x598 =E= -0.292212117;
e51.. - x14 + x599 =E= -0.224052867;
e52.. - x15 + x600 =E= -0.292212117;
e53.. - x16 + x601 =E= -0.224052867;
e54.. - x17 + x602 =E= -0.292212117;
e55.. - x18 + x603 =E= -0.224052867;
e56.. - x1 + x604 =E= -0.349830504;
e57.. - x2 + x605 =E= -0.856270347;
e58.. - x3 + x606 =E= -0.349830504;
e59.. - x4 + x607 =E= -0.856270347;
e60.. - x5 + x608 =E= -0.349830504;
e61.. - x6 + x609 =E= -0.856270347;
e62.. - x7 + x610 =E= -0.349830504;
e63.. - x8 + x611 =E= -0.856270347;
e64.. - x9 + x612 =E= -0.349830504;
e65.. - x10 + x613 =E= -0.856270347;
e66.. - x11 + x614 =E= -0.349830504;
e67.. - x12 + x615 =E= -0.856270347;
e68.. - x13 + x616 =E= -0.349830504;
e69.. - x14 + x617 =E= -0.856270347;
e70.. - x15 + x618 =E= -0.349830504;
e71.. - x16 + x619 =E= -0.856270347;
e72.. - x17 + x620 =E= -0.349830504;
e73.. - x18 + x621 =E= -0.856270347;
e74.. - x1 + x622 =E= -0.067113723;
e75.. - x2 + x623 =E= -0.500210669;
e76.. - x3 + x624 =E= -0.067113723;
e77.. - x4 + x625 =E= -0.500210669;
e78.. - x5 + x626 =E= -0.067113723;
e79.. - x6 + x627 =E= -0.500210669;
e80.. - x7 + x628 =E= -0.067113723;
e81.. - x8 + x629 =E= -0.500210669;
e82.. - x9 + x630 =E= -0.067113723;
e83.. - x10 + x631 =E= -0.500210669;
e84.. - x11 + x632 =E= -0.067113723;
e85.. - x12 + x633 =E= -0.500210669;
e86.. - x13 + x634 =E= -0.067113723;
e87.. - x14 + x635 =E= -0.500210669;
e88.. - x15 + x636 =E= -0.067113723;
e89.. - x16 + x637 =E= -0.500210669;
e90.. - x17 + x638 =E= -0.067113723;
e91.. - x18 + x639 =E= -0.500210669;
e92.. - x1 + x640 =E= -0.998117627;
e93.. - x2 + x641 =E= -0.578733378;
e94.. - x3 + x642 =E= -0.998117627;
e95.. - x4 + x643 =E= -0.578733378;
e96.. - x5 + x644 =E= -0.998117627;
e97.. - x6 + x645 =E= -0.578733378;
e98.. - x7 + x646 =E= -0.998117627;
e99.. - x8 + x647 =E= -0.578733378;
e100.. - x9 + x648 =E= -0.998117627;
e101.. - x10 + x649 =E= -0.578733378;
e102.. - x11 + x650 =E= -0.998117627;
e103.. - x12 + x651 =E= -0.578733378;
e104.. - x13 + x652 =E= -0.998117627;
e105.. - x14 + x653 =E= -0.578733378;
e106.. - x15 + x654 =E= -0.998117627;
e107.. - x16 + x655 =E= -0.578733378;
e108.. - x17 + x656 =E= -0.998117627;
e109.. - x18 + x657 =E= -0.578733378;
e110.. - x1 + x658 =E= -0.991133039;
e111.. - x2 + x659 =E= -0.762250467;
e112.. - x3 + x660 =E= -0.991133039;
e113.. - x4 + x661 =E= -0.762250467;
e114.. - x5 + x662 =E= -0.991133039;
e115.. - x6 + x663 =E= -0.762250467;
e116.. - x7 + x664 =E= -0.991133039;
e117.. - x8 + x665 =E= -0.762250467;
e118.. - x9 + x666 =E= -0.991133039;
e119.. - x10 + x667 =E= -0.762250467;
e120.. - x11 + x668 =E= -0.991133039;
e121.. - x12 + x669 =E= -0.762250467;
e122.. - x13 + x670 =E= -0.991133039;
e123.. - x14 + x671 =E= -0.762250467;
e124.. - x15 + x672 =E= -0.991133039;
e125.. - x16 + x673 =E= -0.762250467;
e126.. - x17 + x674 =E= -0.991133039;
e127.. - x18 + x675 =E= -0.762250467;
e128.. - x1 + x676 =E= -0.130692483;
e129.. - x2 + x677 =E= -0.639718759;
e130.. - x3 + x678 =E= -0.130692483;
e131.. - x4 + x679 =E= -0.639718759;
e132.. - x5 + x680 =E= -0.130692483;
e133.. - x6 + x681 =E= -0.639718759;
e134.. - x7 + x682 =E= -0.130692483;
e135.. - x8 + x683 =E= -0.639718759;
e136.. - x9 + x684 =E= -0.130692483;
e137.. - x10 + x685 =E= -0.639718759;
e138.. - x11 + x686 =E= -0.130692483;
e139.. - x12 + x687 =E= -0.639718759;
e140.. - x13 + x688 =E= -0.130692483;
e141.. - x14 + x689 =E= -0.639718759;
e142.. - x15 + x690 =E= -0.130692483;
e143.. - x16 + x691 =E= -0.639718759;
e144.. - x17 + x692 =E= -0.130692483;
e145.. - x18 + x693 =E= -0.639718759;
e146.. - x1 + x694 =E= -0.159517864;
e147.. - x2 + x695 =E= -0.250080533;
e148.. - x3 + x696 =E= -0.159517864;
e149.. - x4 + x697 =E= -0.250080533;
e150.. - x5 + x698 =E= -0.159517864;
e151.. - x6 + x699 =E= -0.250080533;
e152.. - x7 + x700 =E= -0.159517864;
e153.. - x8 + x701 =E= -0.250080533;
e154.. - x9 + x702 =E= -0.159517864;
e155.. - x10 + x703 =E= -0.250080533;
e156.. - x11 + x704 =E= -0.159517864;
e157.. - x12 + x705 =E= -0.250080533;
e158.. - x13 + x706 =E= -0.159517864;
e159.. - x14 + x707 =E= -0.250080533;
e160.. - x15 + x708 =E= -0.159517864;
e161.. - x16 + x709 =E= -0.250080533;
e162.. - x17 + x710 =E= -0.159517864;
e163.. - x18 + x711 =E= -0.250080533;
e164.. - x1 + x712 =E= -0.668928609;
e165.. - x2 + x713 =E= -0.435356381;
e166.. - x3 + x714 =E= -0.668928609;
e167.. - x4 + x715 =E= -0.435356381;
e168.. - x5 + x716 =E= -0.668928609;
e169.. - x6 + x717 =E= -0.435356381;
e170.. - x7 + x718 =E= -0.668928609;
e171.. - x8 + x719 =E= -0.435356381;
e172.. - x9 + x720 =E= -0.668928609;
e173.. - x10 + x721 =E= -0.435356381;
e174.. - x11 + x722 =E= -0.668928609;
e175.. - x12 + x723 =E= -0.435356381;
e176.. - x13 + x724 =E= -0.668928609;
e177.. - x14 + x725 =E= -0.435356381;
e178.. - x15 + x726 =E= -0.668928609;
e179.. - x16 + x727 =E= -0.435356381;
e180.. - x17 + x728 =E= -0.668928609;
e181.. - x18 + x729 =E= -0.435356381;
e182.. - x1 + x730 =E= -0.359700266;
e183.. - x2 + x731 =E= -0.351441368;
e184.. - x3 + x732 =E= -0.359700266;
e185.. - x4 + x733 =E= -0.351441368;
e186.. - x5 + x734 =E= -0.359700266;
e187.. - x6 + x735 =E= -0.351441368;
e188.. - x7 + x736 =E= -0.359700266;
e189.. - x8 + x737 =E= -0.351441368;
e190.. - x9 + x738 =E= -0.359700266;
e191.. - x10 + x739 =E= -0.351441368;
e192.. - x11 + x740 =E= -0.359700266;
e193.. - x12 + x741 =E= -0.351441368;
e194.. - x13 + x742 =E= -0.359700266;
e195.. - x14 + x743 =E= -0.351441368;
e196.. - x15 + x744 =E= -0.359700266;
e197.. - x16 + x745 =E= -0.351441368;
e198.. - x17 + x746 =E= -0.359700266;
e199.. - x18 + x747 =E= -0.351441368;
e200.. - x1 + x748 =E= -0.13149159;
e201.. - x2 + x749 =E= -0.150101788;
e202.. - x3 + x750 =E= -0.13149159;
e203.. - x4 + x751 =E= -0.150101788;
e204.. - x5 + x752 =E= -0.13149159;
e205.. - x6 + x753 =E= -0.150101788;
e206.. - x7 + x754 =E= -0.13149159;
e207.. - x8 + x755 =E= -0.150101788;
e208.. - x9 + x756 =E= -0.13149159;
e209.. - x10 + x757 =E= -0.150101788;
e210.. - x11 + x758 =E= -0.13149159;
e211.. - x12 + x759 =E= -0.150101788;
e212.. - x13 + x760 =E= -0.13149159;
e213.. - x14 + x761 =E= -0.150101788;
e214.. - x15 + x762 =E= -0.13149159;
e215.. - x16 + x763 =E= -0.150101788;
e216.. - x17 + x764 =E= -0.13149159;
e217.. - x18 + x765 =E= -0.150101788;
e218.. - x1 + x766 =E= -0.58911365;
e219.. - x2 + x767 =E= -0.830892812;
e220.. - x3 + x768 =E= -0.58911365;
e221.. - x4 + x769 =E= -0.830892812;
e222.. - x5 + x770 =E= -0.58911365;
e223.. - x6 + x771 =E= -0.830892812;
e224.. - x7 + x772 =E= -0.58911365;
e225.. - x8 + x773 =E= -0.830892812;
e226.. - x9 + x774 =E= -0.58911365;
e227.. - x10 + x775 =E= -0.830892812;
e228.. - x11 + x776 =E= -0.58911365;
e229.. - x12 + x777 =E= -0.830892812;
e230.. - x13 + x778 =E= -0.58911365;
e231.. - x14 + x779 =E= -0.830892812;
e232.. - x15 + x780 =E= -0.58911365;
e233.. - x16 + x781 =E= -0.830892812;
e234.. - x17 + x782 =E= -0.58911365;
e235.. - x18 + x783 =E= -0.830892812;
e236.. - x1 + x784 =E= -0.230815738;
e237.. - x2 + x785 =E= -0.66573446;
e238.. - x3 + x786 =E= -0.230815738;
e239.. - x4 + x787 =E= -0.66573446;
e240.. - x5 + x788 =E= -0.230815738;
e241.. - x6 + x789 =E= -0.66573446;
e242.. - x7 + x790 =E= -0.230815738;
e243.. - x8 + x791 =E= -0.66573446;
e244.. - x9 + x792 =E= -0.230815738;
e245.. - x10 + x793 =E= -0.66573446;
e246.. - x11 + x794 =E= -0.230815738;
e247.. - x12 + x795 =E= -0.66573446;
e248.. - x13 + x796 =E= -0.230815738;
e249.. - x14 + x797 =E= -0.66573446;
e250.. - x15 + x798 =E= -0.230815738;
e251.. - x16 + x799 =E= -0.66573446;
e252.. - x17 + x800 =E= -0.230815738;
e253.. - x18 + x801 =E= -0.66573446;
e254.. - x1 + x802 =E= -0.775857606;
e255.. - x2 + x803 =E= -0.303658477;
e256.. - x3 + x804 =E= -0.775857606;
e257.. - x4 + x805 =E= -0.303658477;
e258.. - x5 + x806 =E= -0.775857606;
e259.. - x6 + x807 =E= -0.303658477;
e260.. - x7 + x808 =E= -0.775857606;
e261.. - x8 + x809 =E= -0.303658477;
e262.. - x9 + x810 =E= -0.775857606;
e263.. - x10 + x811 =E= -0.303658477;
e264.. - x11 + x812 =E= -0.775857606;
e265.. - x12 + x813 =E= -0.303658477;
e266.. - x13 + x814 =E= -0.775857606;
e267.. - x14 + x815 =E= -0.303658477;
e268.. - x15 + x816 =E= -0.775857606;
e269.. - x16 + x817 =E= -0.303658477;
e270.. - x17 + x818 =E= -0.775857606;
e271.. - x18 + x819 =E= -0.303658477;
e272.. - x1 + x820 =E= -0.110492291;
e273.. - x2 + x821 =E= -0.502384866;
e274.. - x3 + x822 =E= -0.110492291;
e275.. - x4 + x823 =E= -0.502384866;
e276.. - x5 + x824 =E= -0.110492291;
e277.. - x6 + x825 =E= -0.502384866;
e278.. - x7 + x826 =E= -0.110492291;
e279.. - x8 + x827 =E= -0.502384866;
e280.. - x9 + x828 =E= -0.110492291;
e281.. - x10 + x829 =E= -0.502384866;
e282.. - x11 + x830 =E= -0.110492291;
e283.. - x12 + x831 =E= -0.502384866;
e284.. - x13 + x832 =E= -0.110492291;
e285.. - x14 + x833 =E= -0.502384866;
e286.. - x15 + x834 =E= -0.110492291;
e287.. - x16 + x835 =E= -0.502384866;
e288.. - x17 + x836 =E= -0.110492291;
e289.. - x18 + x837 =E= -0.502384866;
e290.. - x1 + x838 =E= -0.160172762;
e291.. - x2 + x839 =E= -0.872462311;
e292.. - x3 + x840 =E= -0.160172762;
e293.. - x4 + x841 =E= -0.872462311;
e294.. - x5 + x842 =E= -0.160172762;
e295.. - x6 + x843 =E= -0.872462311;
e296.. - x7 + x844 =E= -0.160172762;
e297.. - x8 + x845 =E= -0.872462311;
e298.. - x9 + x846 =E= -0.160172762;
e299.. - x10 + x847 =E= -0.872462311;
e300.. - x11 + x848 =E= -0.160172762;
e301.. - x12 + x849 =E= -0.872462311;
e302.. - x13 + x850 =E= -0.160172762;
e303.. - x14 + x851 =E= -0.872462311;
e304.. - x15 + x852 =E= -0.160172762;
e305.. - x16 + x853 =E= -0.872462311;
e306.. - x17 + x854 =E= -0.160172762;
e307.. - x18 + x855 =E= -0.872462311;
e308.. - x1 + x856 =E= -0.265114545;
e309.. - x2 + x857 =E= -0.285814322;
e310.. - x3 + x858 =E= -0.265114545;
e311.. - x4 + x859 =E= -0.285814322;
e312.. - x5 + x860 =E= -0.265114545;
e313.. - x6 + x861 =E= -0.285814322;
e314.. - x7 + x862 =E= -0.265114545;
e315.. - x8 + x863 =E= -0.285814322;
e316.. - x9 + x864 =E= -0.265114545;
e317.. - x10 + x865 =E= -0.285814322;
e318.. - x11 + x866 =E= -0.265114545;
e319.. - x12 + x867 =E= -0.285814322;
e320.. - x13 + x868 =E= -0.265114545;
e321.. - x14 + x869 =E= -0.285814322;
e322.. - x15 + x870 =E= -0.265114545;
e323.. - x16 + x871 =E= -0.285814322;
e324.. - x17 + x872 =E= -0.265114545;
e325.. - x18 + x873 =E= -0.285814322;
e326.. - x1 + x874 =E= -0.593955922;
e327.. - x2 + x875 =E= -0.722719071;
e328.. - x3 + x876 =E= -0.593955922;
e329.. - x4 + x877 =E= -0.722719071;
e330.. - x5 + x878 =E= -0.593955922;
e331.. - x6 + x879 =E= -0.722719071;
e332.. - x7 + x880 =E= -0.593955922;
e333.. - x8 + x881 =E= -0.722719071;
e334.. - x9 + x882 =E= -0.593955922;
e335.. - x10 + x883 =E= -0.722719071;
e336.. - x11 + x884 =E= -0.593955922;
e337.. - x12 + x885 =E= -0.722719071;
e338.. - x13 + x886 =E= -0.593955922;
e339.. - x14 + x887 =E= -0.722719071;
e340.. - x15 + x888 =E= -0.593955922;
e341.. - x16 + x889 =E= -0.722719071;
e342.. - x17 + x890 =E= -0.593955922;
e343.. - x18 + x891 =E= -0.722719071;
e344.. - x1 + x892 =E= -0.628248677;
e345.. - x2 + x893 =E= -0.463797865;
e346.. - x3 + x894 =E= -0.628248677;
e347.. - x4 + x895 =E= -0.463797865;
e348.. - x5 + x896 =E= -0.628248677;
e349.. - x6 + x897 =E= -0.463797865;
e350.. - x7 + x898 =E= -0.628248677;
e351.. - x8 + x899 =E= -0.463797865;
e352.. - x9 + x900 =E= -0.628248677;
e353.. - x10 + x901 =E= -0.463797865;
e354.. - x11 + x902 =E= -0.628248677;
e355.. - x12 + x903 =E= -0.463797865;
e356.. - x13 + x904 =E= -0.628248677;
e357.. - x14 + x905 =E= -0.463797865;
e358.. - x15 + x906 =E= -0.628248677;
e359.. - x16 + x907 =E= -0.463797865;
e360.. - x17 + x908 =E= -0.628248677;
e361.. - x18 + x909 =E= -0.463797865;
e362.. - x1 + x910 =E= -0.413306994;
e363.. - x2 + x911 =E= -0.117695357;
e364.. - x3 + x912 =E= -0.413306994;
e365.. - x4 + x913 =E= -0.117695357;
e366.. - x5 + x914 =E= -0.413306994;
e367.. - x6 + x915 =E= -0.117695357;
e368.. - x7 + x916 =E= -0.413306994;
e369.. - x8 + x917 =E= -0.117695357;
e370.. - x9 + x918 =E= -0.413306994;
e371.. - x10 + x919 =E= -0.117695357;
e372.. - x11 + x920 =E= -0.413306994;
e373.. - x12 + x921 =E= -0.117695357;
e374.. - x13 + x922 =E= -0.413306994;
e375.. - x14 + x923 =E= -0.117695357;
e376.. - x15 + x924 =E= -0.413306994;
e377.. - x16 + x925 =E= -0.117695357;
e378.. - x17 + x926 =E= -0.413306994;
e379.. - x18 + x927 =E= -0.117695357;
e380.. - x1 + x928 =E= -0.314212267;
e381.. - x2 + x929 =E= -0.046551514;
e382.. - x3 + x930 =E= -0.314212267;
e383.. - x4 + x931 =E= -0.046551514;
e384.. - x5 + x932 =E= -0.314212267;
e385.. - x6 + x933 =E= -0.046551514;
e386.. - x7 + x934 =E= -0.314212267;
e387.. - x8 + x935 =E= -0.046551514;
e388.. - x9 + x936 =E= -0.314212267;
e389.. - x10 + x937 =E= -0.046551514;
e390.. - x11 + x938 =E= -0.314212267;
e391.. - x12 + x939 =E= -0.046551514;
e392.. - x13 + x940 =E= -0.314212267;
e393.. - x14 + x941 =E= -0.046551514;
e394.. - x15 + x942 =E= -0.314212267;
e395.. - x16 + x943 =E= -0.046551514;
e396.. - x17 + x944 =E= -0.314212267;
e397.. - x18 + x945 =E= -0.046551514;
e398.. - x1 + x946 =E= -0.338550272;
e399.. - x2 + x947 =E= -0.182099593;
e400.. - x3 + x948 =E= -0.338550272;
e401.. - x4 + x949 =E= -0.182099593;
e402.. - x5 + x950 =E= -0.338550272;
e403.. - x6 + x951 =E= -0.182099593;
e404.. - x7 + x952 =E= -0.338550272;
e405.. - x8 + x953 =E= -0.182099593;
e406.. - x9 + x954 =E= -0.338550272;
e407.. - x10 + x955 =E= -0.182099593;
e408.. - x11 + x956 =E= -0.338550272;
e409.. - x12 + x957 =E= -0.182099593;
e410.. - x13 + x958 =E= -0.338550272;
e411.. - x14 + x959 =E= -0.182099593;
e412.. - x15 + x960 =E= -0.338550272;
e413.. - x16 + x961 =E= -0.182099593;
e414.. - x17 + x962 =E= -0.338550272;
e415.. - x18 + x963 =E= -0.182099593;
e416.. - x1 + x964 =E= -0.645727127;
e417.. - x2 + x965 =E= -0.560745547;
e418.. - x3 + x966 =E= -0.645727127;
e419.. - x4 + x967 =E= -0.560745547;
e420.. - x5 + x968 =E= -0.645727127;
e421.. - x6 + x969 =E= -0.560745547;
e422.. - x7 + x970 =E= -0.645727127;
e423.. - x8 + x971 =E= -0.560745547;
e424.. - x9 + x972 =E= -0.645727127;
e425.. - x10 + x973 =E= -0.560745547;
e426.. - x11 + x974 =E= -0.645727127;
e427.. - x12 + x975 =E= -0.560745547;
e428.. - x13 + x976 =E= -0.645727127;
e429.. - x14 + x977 =E= -0.560745547;
e430.. - x15 + x978 =E= -0.645727127;
e431.. - x16 + x979 =E= -0.560745547;
e432.. - x17 + x980 =E= -0.645727127;
e433.. - x18 + x981 =E= -0.560745547;
e434.. - x1 + x982 =E= -0.76996172;
e435.. - x2 + x983 =E= -0.297805864;
e436.. - x3 + x984 =E= -0.76996172;
e437.. - x4 + x985 =E= -0.297805864;
e438.. - x5 + x986 =E= -0.76996172;
e439.. - x6 + x987 =E= -0.297805864;
e440.. - x7 + x988 =E= -0.76996172;
e441.. - x8 + x989 =E= -0.297805864;
e442.. - x9 + x990 =E= -0.76996172;
e443.. - x10 + x991 =E= -0.297805864;
e444.. - x11 + x992 =E= -0.76996172;
e445.. - x12 + x993 =E= -0.297805864;
e446.. - x13 + x994 =E= -0.76996172;
e447.. - x14 + x995 =E= -0.297805864;
e448.. - x15 + x996 =E= -0.76996172;
e449.. - x16 + x997 =E= -0.297805864;
e450.. - x17 + x998 =E= -0.76996172;
e451.. - x18 + x999 =E= -0.297805864;
e452.. - x1 + x1000 =E= -0.661106261;
e453.. - x2 + x1001 =E= -0.755821674;
e454.. - x3 + x1002 =E= -0.661106261;
e455.. - x4 + x1003 =E= -0.755821674;
e456.. - x5 + x1004 =E= -0.661106261;
e457.. - x6 + x1005 =E= -0.755821674;
e458.. - x7 + x1006 =E= -0.661106261;
e459.. - x8 + x1007 =E= -0.755821674;
e460.. - x9 + x1008 =E= -0.661106261;
e461.. - x10 + x1009 =E= -0.755821674;
e462.. - x11 + x1010 =E= -0.661106261;
e463.. - x12 + x1011 =E= -0.755821674;
e464.. - x13 + x1012 =E= -0.661106261;
e465.. - x14 + x1013 =E= -0.755821674;
e466.. - x15 + x1014 =E= -0.661106261;
e467.. - x16 + x1015 =E= -0.755821674;
e468.. - x17 + x1016 =E= -0.661106261;
e469.. - x18 + x1017 =E= -0.755821674;
e470.. - x1 + x1018 =E= -0.627447499;
e471.. - x2 + x1019 =E= -0.283864198;
e472.. - x3 + x1020 =E= -0.627447499;
e473.. - x4 + x1021 =E= -0.283864198;
e474.. - x5 + x1022 =E= -0.627447499;
e475.. - x6 + x1023 =E= -0.283864198;
e476.. - x7 + x1024 =E= -0.627447499;
e477.. - x8 + x1025 =E= -0.283864198;
e478.. - x9 + x1026 =E= -0.627447499;
e479.. - x10 + x1027 =E= -0.283864198;
e480.. - x11 + x1028 =E= -0.627447499;
e481.. - x12 + x1029 =E= -0.283864198;
e482.. - x13 + x1030 =E= -0.627447499;
e483.. - x14 + x1031 =E= -0.283864198;
e484.. - x15 + x1032 =E= -0.627447499;
e485.. - x16 + x1033 =E= -0.283864198;
e486.. - x17 + x1034 =E= -0.627447499;
e487.. - x18 + x1035 =E= -0.283864198;
e488.. - x1 + x1036 =E= -0.086424624;
e489.. - x2 + x1037 =E= -0.102514669;
e490.. - x3 + x1038 =E= -0.086424624;
e491.. - x4 + x1039 =E= -0.102514669;
e492.. - x5 + x1040 =E= -0.086424624;
e493.. - x6 + x1041 =E= -0.102514669;
e494.. - x7 + x1042 =E= -0.086424624;
e495.. - x8 + x1043 =E= -0.102514669;
e496.. - x9 + x1044 =E= -0.086424624;
e497.. - x10 + x1045 =E= -0.102514669;
e498.. - x11 + x1046 =E= -0.086424624;
e499.. - x12 + x1047 =E= -0.102514669;
e500.. - x13 + x1048 =E= -0.086424624;
e501.. - x14 + x1049 =E= -0.102514669;
e502.. - x15 + x1050 =E= -0.086424624;
e503.. - x16 + x1051 =E= -0.102514669;
e504.. - x17 + x1052 =E= -0.086424624;
e505.. - x18 + x1053 =E= -0.102514669;
e506.. - x1 + x1054 =E= -0.641251151;
e507.. - x2 + x1055 =E= -0.545309498;
e508.. - x3 + x1056 =E= -0.641251151;
e509.. - x4 + x1057 =E= -0.545309498;
e510.. - x5 + x1058 =E= -0.641251151;
e511.. - x6 + x1059 =E= -0.545309498;
e512.. - x7 + x1060 =E= -0.641251151;
e513.. - x8 + x1061 =E= -0.545309498;
e514.. - x9 + x1062 =E= -0.641251151;
e515.. - x10 + x1063 =E= -0.545309498;
e516.. - x11 + x1064 =E= -0.641251151;
e517.. - x12 + x1065 =E= -0.545309498;
e518.. - x13 + x1066 =E= -0.641251151;
e519.. - x14 + x1067 =E= -0.545309498;
e520.. - x15 + x1068 =E= -0.641251151;
e521.. - x16 + x1069 =E= -0.545309498;
e522.. - x17 + x1070 =E= -0.641251151;
e523.. - x18 + x1071 =E= -0.545309498;
e524.. - x1 + x1072 =E= -0.031524852;
e525.. - x2 + x1073 =E= -0.792360642;
e526.. - x3 + x1074 =E= -0.031524852;
e527.. - x4 + x1075 =E= -0.792360642;
e528.. - x5 + x1076 =E= -0.031524852;
e529.. - x6 + x1077 =E= -0.792360642;
e530.. - x7 + x1078 =E= -0.031524852;
e531.. - x8 + x1079 =E= -0.792360642;
e532.. - x9 + x1080 =E= -0.031524852;
e533.. - x10 + x1081 =E= -0.792360642;
e534.. - x11 + x1082 =E= -0.031524852;
e535.. - x12 + x1083 =E= -0.792360642;
e536.. - x13 + x1084 =E= -0.031524852;
e537.. - x14 + x1085 =E= -0.792360642;
e538.. - x15 + x1086 =E= -0.031524852;
e539.. - x16 + x1087 =E= -0.792360642;
e540.. - x17 + x1088 =E= -0.031524852;
e541.. - x18 + x1089 =E= -0.792360642;
e542.. - x1 + x1090 =E= -0.072766998;
e543.. - x2 + x1091 =E= -0.175661049;
e544.. - x3 + x1092 =E= -0.072766998;
e545.. - x4 + x1093 =E= -0.175661049;
e546.. - x5 + x1094 =E= -0.072766998;
e547.. - x6 + x1095 =E= -0.175661049;
e548.. - x7 + x1096 =E= -0.072766998;
e549.. - x8 + x1097 =E= -0.175661049;
e550.. - x9 + x1098 =E= -0.072766998;
e551.. - x10 + x1099 =E= -0.175661049;
e552.. - x11 + x1100 =E= -0.072766998;
e553.. - x12 + x1101 =E= -0.175661049;
e554.. - x13 + x1102 =E= -0.072766998;
e555.. - x14 + x1103 =E= -0.175661049;
e556.. - x15 + x1104 =E= -0.072766998;
e557.. - x16 + x1105 =E= -0.175661049;
e558.. - x17 + x1106 =E= -0.072766998;
e559.. - x18 + x1107 =E= -0.175661049;
e560.. - x1 + x1108 =E= -0.525632613;
e561.. - x2 + x1109 =E= -0.750207669;
e562.. - x3 + x1110 =E= -0.525632613;
e563.. - x4 + x1111 =E= -0.750207669;
e564.. - x5 + x1112 =E= -0.525632613;
e565.. - x6 + x1113 =E= -0.750207669;
e566.. - x7 + x1114 =E= -0.525632613;
e567.. - x8 + x1115 =E= -0.750207669;
e568.. - x9 + x1116 =E= -0.525632613;
e569.. - x10 + x1117 =E= -0.750207669;
e570.. - x11 + x1118 =E= -0.525632613;
e571.. - x12 + x1119 =E= -0.750207669;
e572.. - x13 + x1120 =E= -0.525632613;
e573.. - x14 + x1121 =E= -0.750207669;
e574.. - x15 + x1122 =E= -0.525632613;
e575.. - x16 + x1123 =E= -0.750207669;
e576.. - x17 + x1124 =E= -0.525632613;
e577.. - x18 + x1125 =E= -0.750207669;
e578.. - x1 + x1126 =E= -0.178123714;
e579.. - x2 + x1127 =E= -0.034140986;
e580.. - x3 + x1128 =E= -0.178123714;
e581.. - x4 + x1129 =E= -0.034140986;
e582.. - x5 + x1130 =E= -0.178123714;
e583.. - x6 + x1131 =E= -0.034140986;
e584.. - x7 + x1132 =E= -0.178123714;
e585.. - x8 + x1133 =E= -0.034140986;
e586.. - x9 + x1134 =E= -0.178123714;
e587.. - x10 + x1135 =E= -0.034140986;
e588.. - x11 + x1136 =E= -0.178123714;
e589.. - x12 + x1137 =E= -0.034140986;
e590.. - x13 + x1138 =E= -0.178123714;
e591.. - x14 + x1139 =E= -0.034140986;
e592.. - x15 + x1140 =E= -0.178123714;
e593.. - x16 + x1141 =E= -0.034140986;
e594.. - x17 + x1142 =E= -0.178123714;
e595.. - x18 + x1143 =E= -0.034140986;
e596.. - x1 + x1144 =E= -0.585131173;
e597.. - x2 + x1145 =E= -0.621229984;
e598.. - x3 + x1146 =E= -0.585131173;
e599.. - x4 + x1147 =E= -0.621229984;
e600.. - x5 + x1148 =E= -0.585131173;
e601.. - x6 + x1149 =E= -0.621229984;
e602.. - x7 + x1150 =E= -0.585131173;
e603.. - x8 + x1151 =E= -0.621229984;
e604.. - x9 + x1152 =E= -0.585131173;
e605.. - x10 + x1153 =E= -0.621229984;
e606.. - x11 + x1154 =E= -0.585131173;
e607.. - x12 + x1155 =E= -0.621229984;
e608.. - x13 + x1156 =E= -0.585131173;
e609.. - x14 + x1157 =E= -0.621229984;
e610.. - x15 + x1158 =E= -0.585131173;
e611.. - x16 + x1159 =E= -0.621229984;
e612.. - x17 + x1160 =E= -0.585131173;
e613.. - x18 + x1161 =E= -0.621229984;
e614.. - x1 + x1162 =E= -0.3893619;
e615.. - x2 + x1163 =E= -0.358714153;
e616.. - x3 + x1164 =E= -0.3893619;
e617.. - x4 + x1165 =E= -0.358714153;
e618.. - x5 + x1166 =E= -0.3893619;
e619.. - x6 + x1167 =E= -0.358714153;
e620.. - x7 + x1168 =E= -0.3893619;
e621.. - x8 + x1169 =E= -0.358714153;
e622.. - x9 + x1170 =E= -0.3893619;
e623.. - x10 + x1171 =E= -0.358714153;
e624.. - x11 + x1172 =E= -0.3893619;
e625.. - x12 + x1173 =E= -0.358714153;
e626.. - x13 + x1174 =E= -0.3893619;
e627.. - x14 + x1175 =E= -0.358714153;
e628.. - x15 + x1176 =E= -0.3893619;
e629.. - x16 + x1177 =E= -0.358714153;
e630.. - x17 + x1178 =E= -0.3893619;
e631.. - x18 + x1179 =E= -0.358714153;
e632.. - x1 + x1180 =E= -0.243034617;
e633.. - x2 + x1181 =E= -0.246421539;
e634.. - x3 + x1182 =E= -0.243034617;
e635.. - x4 + x1183 =E= -0.246421539;
e636.. - x5 + x1184 =E= -0.243034617;
e637.. - x6 + x1185 =E= -0.246421539;
e638.. - x7 + x1186 =E= -0.243034617;
e639.. - x8 + x1187 =E= -0.246421539;
e640.. - x9 + x1188 =E= -0.243034617;
e641.. - x10 + x1189 =E= -0.246421539;
e642.. - x11 + x1190 =E= -0.243034617;
e643.. - x12 + x1191 =E= -0.246421539;
e644.. - x13 + x1192 =E= -0.243034617;
e645.. - x14 + x1193 =E= -0.246421539;
e646.. - x15 + x1194 =E= -0.243034617;
e647.. - x16 + x1195 =E= -0.246421539;
e648.. - x17 + x1196 =E= -0.243034617;
e649.. - x18 + x1197 =E= -0.246421539;
e650.. - x1 + x1198 =E= -0.130502803;
e651.. - x2 + x1199 =E= -0.93344972;
e652.. - x3 + x1200 =E= -0.130502803;
e653.. - x4 + x1201 =E= -0.93344972;
e654.. - x5 + x1202 =E= -0.130502803;
e655.. - x6 + x1203 =E= -0.93344972;
e656.. - x7 + x1204 =E= -0.130502803;
e657.. - x8 + x1205 =E= -0.93344972;
e658.. - x9 + x1206 =E= -0.130502803;
e659.. - x10 + x1207 =E= -0.93344972;
e660.. - x11 + x1208 =E= -0.130502803;
e661.. - x12 + x1209 =E= -0.93344972;
e662.. - x13 + x1210 =E= -0.130502803;
e663.. - x14 + x1211 =E= -0.93344972;
e664.. - x15 + x1212 =E= -0.130502803;
e665.. - x16 + x1213 =E= -0.93344972;
e666.. - x17 + x1214 =E= -0.130502803;
e667.. - x18 + x1215 =E= -0.93344972;
e668.. - x1 + x1216 =E= -0.379937906;
e669.. - x2 + x1217 =E= -0.783400461;
e670.. - x3 + x1218 =E= -0.379937906;
e671.. - x4 + x1219 =E= -0.783400461;
e672.. - x5 + x1220 =E= -0.379937906;
e673.. - x6 + x1221 =E= -0.783400461;
e674.. - x7 + x1222 =E= -0.379937906;
e675.. - x8 + x1223 =E= -0.783400461;
e676.. - x9 + x1224 =E= -0.379937906;
e677.. - x10 + x1225 =E= -0.783400461;
e678.. - x11 + x1226 =E= -0.379937906;
e679.. - x12 + x1227 =E= -0.783400461;
e680.. - x13 + x1228 =E= -0.379937906;
e681.. - x14 + x1229 =E= -0.783400461;
e682.. - x15 + x1230 =E= -0.379937906;
e683.. - x16 + x1231 =E= -0.783400461;
e684.. - x17 + x1232 =E= -0.379937906;
e685.. - x18 + x1233 =E= -0.783400461;
e686.. - x1 + x1234 =E= -0.300034258;
e687.. - x2 + x1235 =E= -0.125483222;
e688.. - x3 + x1236 =E= -0.300034258;
e689.. - x4 + x1237 =E= -0.125483222;
e690.. - x5 + x1238 =E= -0.300034258;
e691.. - x6 + x1239 =E= -0.125483222;
e692.. - x7 + x1240 =E= -0.300034258;
e693.. - x8 + x1241 =E= -0.125483222;
e694.. - x9 + x1242 =E= -0.300034258;
e695.. - x10 + x1243 =E= -0.125483222;
e696.. - x11 + x1244 =E= -0.300034258;
e697.. - x12 + x1245 =E= -0.125483222;
e698.. - x13 + x1246 =E= -0.300034258;
e699.. - x14 + x1247 =E= -0.125483222;
e700.. - x15 + x1248 =E= -0.300034258;
e701.. - x16 + x1249 =E= -0.125483222;
e702.. - x17 + x1250 =E= -0.300034258;
e703.. - x18 + x1251 =E= -0.125483222;
e704.. - x1 + x1252 =E= -0.748874105;
e705.. - x2 + x1253 =E= -0.069232463;
e706.. - x3 + x1254 =E= -0.748874105;
e707.. - x4 + x1255 =E= -0.069232463;
e708.. - x5 + x1256 =E= -0.748874105;
e709.. - x6 + x1257 =E= -0.069232463;
e710.. - x7 + x1258 =E= -0.748874105;
e711.. - x8 + x1259 =E= -0.069232463;
e712.. - x9 + x1260 =E= -0.748874105;
e713.. - x10 + x1261 =E= -0.069232463;
e714.. - x11 + x1262 =E= -0.748874105;
e715.. - x12 + x1263 =E= -0.069232463;
e716.. - x13 + x1264 =E= -0.748874105;
e717.. - x14 + x1265 =E= -0.069232463;
e718.. - x15 + x1266 =E= -0.748874105;
e719.. - x16 + x1267 =E= -0.069232463;
e720.. - x17 + x1268 =E= -0.748874105;
e721.. - x18 + x1269 =E= -0.069232463;
e722.. - x1 + x1270 =E= -0.202015557;
e723.. - x2 + x1271 =E= -0.005065858;
e724.. - x3 + x1272 =E= -0.202015557;
e725.. - x4 + x1273 =E= -0.005065858;
e726.. - x5 + x1274 =E= -0.202015557;
e727.. - x6 + x1275 =E= -0.005065858;
e728.. - x7 + x1276 =E= -0.202015557;
e729.. - x8 + x1277 =E= -0.005065858;
e730.. - x9 + x1278 =E= -0.202015557;
e731.. - x10 + x1279 =E= -0.005065858;
e732.. - x11 + x1280 =E= -0.202015557;
e733.. - x12 + x1281 =E= -0.005065858;
e734.. - x13 + x1282 =E= -0.202015557;
e735.. - x14 + x1283 =E= -0.005065858;
e736.. - x15 + x1284 =E= -0.202015557;
e737.. - x16 + x1285 =E= -0.005065858;
e738.. - x17 + x1286 =E= -0.202015557;
e739.. - x18 + x1287 =E= -0.005065858;
e740.. - x1 + x1288 =E= -0.269613052;
e741.. - x2 + x1289 =E= -0.499851475;
e742.. - x3 + x1290 =E= -0.269613052;
e743.. - x4 + x1291 =E= -0.499851475;
e744.. - x5 + x1292 =E= -0.269613052;
e745.. - x6 + x1293 =E= -0.499851475;
e746.. - x7 + x1294 =E= -0.269613052;
e747.. - x8 + x1295 =E= -0.499851475;
e748.. - x9 + x1296 =E= -0.269613052;
e749.. - x10 + x1297 =E= -0.499851475;
e750.. - x11 + x1298 =E= -0.269613052;
e751.. - x12 + x1299 =E= -0.499851475;
e752.. - x13 + x1300 =E= -0.269613052;
e753.. - x14 + x1301 =E= -0.499851475;
e754.. - x15 + x1302 =E= -0.269613052;
e755.. - x16 + x1303 =E= -0.499851475;
e756.. - x17 + x1304 =E= -0.269613052;
e757.. - x18 + x1305 =E= -0.499851475;
e758.. - x1 + x1306 =E= -0.151285869;
e759.. - x2 + x1307 =E= -0.174169455;
e760.. - x3 + x1308 =E= -0.151285869;
e761.. - x4 + x1309 =E= -0.174169455;
e762.. - x5 + x1310 =E= -0.151285869;
e763.. - x6 + x1311 =E= -0.174169455;
e764.. - x7 + x1312 =E= -0.151285869;
e765.. - x8 + x1313 =E= -0.174169455;
e766.. - x9 + x1314 =E= -0.151285869;
e767.. - x10 + x1315 =E= -0.174169455;
e768.. - x11 + x1316 =E= -0.151285869;
e769.. - x12 + x1317 =E= -0.174169455;
e770.. - x13 + x1318 =E= -0.151285869;
e771.. - x14 + x1319 =E= -0.174169455;
e772.. - x15 + x1320 =E= -0.151285869;
e773.. - x16 + x1321 =E= -0.174169455;
e774.. - x17 + x1322 =E= -0.151285869;
e775.. - x18 + x1323 =E= -0.174169455;
e776.. - x1 + x1324 =E= -0.330637734;
e777.. - x2 + x1325 =E= -0.316906054;
e778.. - x3 + x1326 =E= -0.330637734;
e779.. - x4 + x1327 =E= -0.316906054;
e780.. - x5 + x1328 =E= -0.330637734;
e781.. - x6 + x1329 =E= -0.316906054;
e782.. - x7 + x1330 =E= -0.330637734;
e783.. - x8 + x1331 =E= -0.316906054;
e784.. - x9 + x1332 =E= -0.330637734;
e785.. - x10 + x1333 =E= -0.316906054;
e786.. - x11 + x1334 =E= -0.330637734;
e787.. - x12 + x1335 =E= -0.316906054;
e788.. - x13 + x1336 =E= -0.330637734;
e789.. - x14 + x1337 =E= -0.316906054;
e790.. - x15 + x1338 =E= -0.330637734;
e791.. - x16 + x1339 =E= -0.316906054;
e792.. - x17 + x1340 =E= -0.330637734;
e793.. - x18 + x1341 =E= -0.316906054;
e794.. - x1 + x1342 =E= -0.322086955;
e795.. - x2 + x1343 =E= -0.963976641;
e796.. - x3 + x1344 =E= -0.322086955;
e797.. - x4 + x1345 =E= -0.963976641;
e798.. - x5 + x1346 =E= -0.322086955;
e799.. - x6 + x1347 =E= -0.963976641;
e800.. - x7 + x1348 =E= -0.322086955;
e801.. - x8 + x1349 =E= -0.963976641;
e802.. - x9 + x1350 =E= -0.322086955;
e803.. - x10 + x1351 =E= -0.963976641;
e804.. - x11 + x1352 =E= -0.322086955;
e805.. - x12 + x1353 =E= -0.963976641;
e806.. - x13 + x1354 =E= -0.322086955;
e807.. - x14 + x1355 =E= -0.963976641;
e808.. - x15 + x1356 =E= -0.322086955;
e809.. - x16 + x1357 =E= -0.963976641;
e810.. - x17 + x1358 =E= -0.322086955;
e811.. - x18 + x1359 =E= -0.963976641;
e812.. - x1 + x1360 =E= -0.993602205;
e813.. - x2 + x1361 =E= -0.369903055;
e814.. - x3 + x1362 =E= -0.993602205;
e815.. - x4 + x1363 =E= -0.369903055;
e816.. - x5 + x1364 =E= -0.993602205;
e817.. - x6 + x1365 =E= -0.369903055;
e818.. - x7 + x1366 =E= -0.993602205;
e819.. - x8 + x1367 =E= -0.369903055;
e820.. - x9 + x1368 =E= -0.993602205;
e821.. - x10 + x1369 =E= -0.369903055;
e822.. - x11 + x1370 =E= -0.993602205;
e823.. - x12 + x1371 =E= -0.369903055;
e824.. - x13 + x1372 =E= -0.993602205;
e825.. - x14 + x1373 =E= -0.369903055;
e826.. - x15 + x1374 =E= -0.993602205;
e827.. - x16 + x1375 =E= -0.369903055;
e828.. - x17 + x1376 =E= -0.993602205;
e829.. - x18 + x1377 =E= -0.369903055;
e830.. - x1 + x1378 =E= -0.372888567;
e831.. - x2 + x1379 =E= -0.77197833;
e832.. - x3 + x1380 =E= -0.372888567;
e833.. - x4 + x1381 =E= -0.77197833;
e834.. - x5 + x1382 =E= -0.372888567;
e835.. - x6 + x1383 =E= -0.77197833;
e836.. - x7 + x1384 =E= -0.372888567;
e837.. - x8 + x1385 =E= -0.77197833;
e838.. - x9 + x1386 =E= -0.372888567;
e839.. - x10 + x1387 =E= -0.77197833;
e840.. - x11 + x1388 =E= -0.372888567;
e841.. - x12 + x1389 =E= -0.77197833;
e842.. - x13 + x1390 =E= -0.372888567;
e843.. - x14 + x1391 =E= -0.77197833;
e844.. - x15 + x1392 =E= -0.372888567;
e845.. - x16 + x1393 =E= -0.77197833;
e846.. - x17 + x1394 =E= -0.372888567;
e847.. - x18 + x1395 =E= -0.77197833;
e848.. - x1 + x1396 =E= -0.396684142;
e849.. - x2 + x1397 =E= -0.913096325;
e850.. - x3 + x1398 =E= -0.396684142;
e851.. - x4 + x1399 =E= -0.913096325;
e852.. - x5 + x1400 =E= -0.396684142;
e853.. - x6 + x1401 =E= -0.913096325;
e854.. - x7 + x1402 =E= -0.396684142;
e855.. - x8 + x1403 =E= -0.913096325;
e856.. - x9 + x1404 =E= -0.396684142;
e857.. - x10 + x1405 =E= -0.913096325;
e858.. - x11 + x1406 =E= -0.396684142;
e859.. - x12 + x1407 =E= -0.913096325;
e860.. - x13 + x1408 =E= -0.396684142;
e861.. - x14 + x1409 =E= -0.913096325;
e862.. - x15 + x1410 =E= -0.396684142;
e863.. - x16 + x1411 =E= -0.913096325;
e864.. - x17 + x1412 =E= -0.396684142;
e865.. - x18 + x1413 =E= -0.913096325;
e866.. - x1 + x1414 =E= -0.11957773;
e867.. - x2 + x1415 =E= -0.735478889;
e868.. - x3 + x1416 =E= -0.11957773;
e869.. - x4 + x1417 =E= -0.735478889;
e870.. - x5 + x1418 =E= -0.11957773;
e871.. - x6 + x1419 =E= -0.735478889;
e872.. - x7 + x1420 =E= -0.11957773;
e873.. - x8 + x1421 =E= -0.735478889;
e874.. - x9 + x1422 =E= -0.11957773;
e875.. - x10 + x1423 =E= -0.735478889;
e876.. - x11 + x1424 =E= -0.11957773;
e877.. - x12 + x1425 =E= -0.735478889;
e878.. - x13 + x1426 =E= -0.11957773;
e879.. - x14 + x1427 =E= -0.735478889;
e880.. - x15 + x1428 =E= -0.11957773;
e881.. - x16 + x1429 =E= -0.735478889;
e882.. - x17 + x1430 =E= -0.11957773;
e883.. - x18 + x1431 =E= -0.735478889;
e884.. - x1 + x1432 =E= -0.055418475;
e885.. - x2 + x1433 =E= -0.576299805;
e886.. - x3 + x1434 =E= -0.055418475;
e887.. - x4 + x1435 =E= -0.576299805;
e888.. - x5 + x1436 =E= -0.055418475;
e889.. - x6 + x1437 =E= -0.576299805;
e890.. - x7 + x1438 =E= -0.055418475;
e891.. - x8 + x1439 =E= -0.576299805;
e892.. - x9 + x1440 =E= -0.055418475;
e893.. - x10 + x1441 =E= -0.576299805;
e894.. - x11 + x1442 =E= -0.055418475;
e895.. - x12 + x1443 =E= -0.576299805;
e896.. - x13 + x1444 =E= -0.055418475;
e897.. - x14 + x1445 =E= -0.576299805;
e898.. - x15 + x1446 =E= -0.055418475;
e899.. - x16 + x1447 =E= -0.576299805;
e900.. - x17 + x1448 =E= -0.055418475;
e901.. - x18 + x1449 =E= -0.576299805;
e902.. x1450 =E= 0;
e903.. x1451 =E= 0;
e904.. - x1 + x3 + x1452 =E= 0;
e905.. - x2 + x4 + x1453 =E= 0;
e906.. - x1 + x5 + x1454 =E= 0;
e907.. - x2 + x6 + x1455 =E= 0;
e908.. - x1 + x7 + x1456 =E= 0;
e909.. - x2 + x8 + x1457 =E= 0;
e910.. - x1 + x9 + x1458 =E= 0;
e911.. - x2 + x10 + x1459 =E= 0;
e912.. - x1 + x11 + x1460 =E= 0;
e913.. - x2 + x12 + x1461 =E= 0;
e914.. - x1 + x13 + x1462 =E= 0;
e915.. - x2 + x14 + x1463 =E= 0;
e916.. - x1 + x15 + x1464 =E= 0;
e917.. - x2 + x16 + x1465 =E= 0;
e918.. - x1 + x17 + x1466 =E= 0;
e919.. - x2 + x18 + x1467 =E= 0;
e920.. x1 - x3 + x1468 =E= 0;
e921.. x2 - x4 + x1469 =E= 0;
e922.. x1470 =E= 0;
e923.. x1471 =E= 0;
e924.. - x3 + x5 + x1472 =E= 0;
e925.. - x4 + x6 + x1473 =E= 0;
e926.. - x3 + x7 + x1474 =E= 0;
e927.. - x4 + x8 + x1475 =E= 0;
e928.. - x3 + x9 + x1476 =E= 0;
e929.. - x4 + x10 + x1477 =E= 0;
e930.. - x3 + x11 + x1478 =E= 0;
e931.. - x4 + x12 + x1479 =E= 0;
e932.. - x3 + x13 + x1480 =E= 0;
e933.. - x4 + x14 + x1481 =E= 0;
e934.. - x3 + x15 + x1482 =E= 0;
e935.. - x4 + x16 + x1483 =E= 0;
e936.. - x3 + x17 + x1484 =E= 0;
e937.. - x4 + x18 + x1485 =E= 0;
e938.. x1 - x5 + x1486 =E= 0;
e939.. x2 - x6 + x1487 =E= 0;
e940.. x3 - x5 + x1488 =E= 0;
e941.. x4 - x6 + x1489 =E= 0;
e942.. x1490 =E= 0;
e943.. x1491 =E= 0;
e944.. - x5 + x7 + x1492 =E= 0;
e945.. - x6 + x8 + x1493 =E= 0;
e946.. - x5 + x9 + x1494 =E= 0;
e947.. - x6 + x10 + x1495 =E= 0;
e948.. - x5 + x11 + x1496 =E= 0;
e949.. - x6 + x12 + x1497 =E= 0;
e950.. - x5 + x13 + x1498 =E= 0;
e951.. - x6 + x14 + x1499 =E= 0;
e952.. - x5 + x15 + x1500 =E= 0;
e953.. - x6 + x16 + x1501 =E= 0;
e954.. - x5 + x17 + x1502 =E= 0;
e955.. - x6 + x18 + x1503 =E= 0;
e956.. x1 - x7 + x1504 =E= 0;
e957.. x2 - x8 + x1505 =E= 0;
e958.. x3 - x7 + x1506 =E= 0;
e959.. x4 - x8 + x1507 =E= 0;
e960.. x5 - x7 + x1508 =E= 0;
e961.. x6 - x8 + x1509 =E= 0;
e962.. x1510 =E= 0;
e963.. x1511 =E= 0;
e964.. - x7 + x9 + x1512 =E= 0;
e965.. - x8 + x10 + x1513 =E= 0;
e966.. - x7 + x11 + x1514 =E= 0;
e967.. - x8 + x12 + x1515 =E= 0;
e968.. - x7 + x13 + x1516 =E= 0;
e969.. - x8 + x14 + x1517 =E= 0;
e970.. - x7 + x15 + x1518 =E= 0;
e971.. - x8 + x16 + x1519 =E= 0;
e972.. - x7 + x17 + x1520 =E= 0;
e973.. - x8 + x18 + x1521 =E= 0;
e974.. x1 - x9 + x1522 =E= 0;
e975.. x2 - x10 + x1523 =E= 0;
e976.. x3 - x9 + x1524 =E= 0;
e977.. x4 - x10 + x1525 =E= 0;
e978.. x5 - x9 + x1526 =E= 0;
e979.. x6 - x10 + x1527 =E= 0;
e980.. x7 - x9 + x1528 =E= 0;
e981.. x8 - x10 + x1529 =E= 0;
e982.. x1530 =E= 0;
e983.. x1531 =E= 0;
e984.. - x9 + x11 + x1532 =E= 0;
e985.. - x10 + x12 + x1533 =E= 0;
e986.. - x9 + x13 + x1534 =E= 0;
e987.. - x10 + x14 + x1535 =E= 0;
e988.. - x9 + x15 + x1536 =E= 0;
e989.. - x10 + x16 + x1537 =E= 0;
e990.. - x9 + x17 + x1538 =E= 0;
e991.. - x10 + x18 + x1539 =E= 0;
e992.. x1 - x11 + x1540 =E= 0;
e993.. x2 - x12 + x1541 =E= 0;
e994.. x3 - x11 + x1542 =E= 0;
e995.. x4 - x12 + x1543 =E= 0;
e996.. x5 - x11 + x1544 =E= 0;
e997.. x6 - x12 + x1545 =E= 0;
e998.. x7 - x11 + x1546 =E= 0;
e999.. x8 - x12 + x1547 =E= 0;
e1000.. x9 - x11 + x1548 =E= 0;
e1001.. x10 - x12 + x1549 =E= 0;
e1002.. x1550 =E= 0;
e1003.. x1551 =E= 0;
e1004.. - x11 + x13 + x1552 =E= 0;
e1005.. - x12 + x14 + x1553 =E= 0;
e1006.. - x11 + x15 + x1554 =E= 0;
e1007.. - x12 + x16 + x1555 =E= 0;
e1008.. - x11 + x17 + x1556 =E= 0;
e1009.. - x12 + x18 + x1557 =E= 0;
e1010.. x1 - x13 + x1558 =E= 0;
e1011.. x2 - x14 + x1559 =E= 0;
e1012.. x3 - x13 + x1560 =E= 0;
e1013.. x4 - x14 + x1561 =E= 0;
e1014.. x5 - x13 + x1562 =E= 0;
e1015.. x6 - x14 + x1563 =E= 0;
e1016.. x7 - x13 + x1564 =E= 0;
e1017.. x8 - x14 + x1565 =E= 0;
e1018.. x9 - x13 + x1566 =E= 0;
e1019.. x10 - x14 + x1567 =E= 0;
e1020.. x11 - x13 + x1568 =E= 0;
e1021.. x12 - x14 + x1569 =E= 0;
e1022.. x1570 =E= 0;
e1023.. x1571 =E= 0;
e1024.. - x13 + x15 + x1572 =E= 0;
e1025.. - x14 + x16 + x1573 =E= 0;
e1026.. - x13 + x17 + x1574 =E= 0;
e1027.. - x14 + x18 + x1575 =E= 0;
e1028.. x1 - x15 + x1576 =E= 0;
e1029.. x2 - x16 + x1577 =E= 0;
e1030.. x3 - x15 + x1578 =E= 0;
e1031.. x4 - x16 + x1579 =E= 0;
e1032.. x5 - x15 + x1580 =E= 0;
e1033.. x6 - x16 + x1581 =E= 0;
e1034.. x7 - x15 + x1582 =E= 0;
e1035.. x8 - x16 + x1583 =E= 0;
e1036.. x9 - x15 + x1584 =E= 0;
e1037.. x10 - x16 + x1585 =E= 0;
e1038.. x11 - x15 + x1586 =E= 0;
e1039.. x12 - x16 + x1587 =E= 0;
e1040.. x13 - x15 + x1588 =E= 0;
e1041.. x14 - x16 + x1589 =E= 0;
e1042.. x1590 =E= 0;
e1043.. x1591 =E= 0;
e1044.. - x15 + x17 + x1592 =E= 0;
e1045.. - x16 + x18 + x1593 =E= 0;
e1046.. x1 - x17 + x1594 =E= 0;
e1047.. x2 - x18 + x1595 =E= 0;
e1048.. x3 - x17 + x1596 =E= 0;
e1049.. x4 - x18 + x1597 =E= 0;
e1050.. x5 - x17 + x1598 =E= 0;
e1051.. x6 - x18 + x1599 =E= 0;
e1052.. x7 - x17 + x1600 =E= 0;
e1053.. x8 - x18 + x1601 =E= 0;
e1054.. x9 - x17 + x1602 =E= 0;
e1055.. x10 - x18 + x1603 =E= 0;
e1056.. x11 - x17 + x1604 =E= 0;
e1057.. x12 - x18 + x1605 =E= 0;
e1058.. x13 - x17 + x1606 =E= 0;
e1059.. x14 - x18 + x1607 =E= 0;
e1060.. x15 - x17 + x1608 =E= 0;
e1061.. x16 - x18 + x1609 =E= 0;
e1062.. x1610 =E= 0;
e1063.. x1611 =E= 0;
e1064.. sqr(x19) - (sqr(x550) + sqr(x551)) =G= 0;
e1065.. sqr(x20) - (sqr(x552) + sqr(x553)) =G= 0;
e1066.. sqr(x21) - (sqr(x554) + sqr(x555)) =G= 0;
e1067.. sqr(x22) - (sqr(x556) + sqr(x557)) =G= 0;
e1068.. sqr(x23) - (sqr(x558) + sqr(x559)) =G= 0;
e1069.. sqr(x24) - (sqr(x560) + sqr(x561)) =G= 0;
e1070.. sqr(x25) - (sqr(x562) + sqr(x563)) =G= 0;
e1071.. sqr(x26) - (sqr(x564) + sqr(x565)) =G= 0;
e1072.. sqr(x27) - (sqr(x566) + sqr(x567)) =G= 0;
e1073.. sqr(x28) - (sqr(x568) + sqr(x569)) =G= 0;
e1074.. sqr(x29) - (sqr(x570) + sqr(x571)) =G= 0;
e1075.. sqr(x30) - (sqr(x572) + sqr(x573)) =G= 0;
e1076.. sqr(x31) - (sqr(x574) + sqr(x575)) =G= 0;
e1077.. sqr(x32) - (sqr(x576) + sqr(x577)) =G= 0;
e1078.. sqr(x33) - (sqr(x578) + sqr(x579)) =G= 0;
e1079.. sqr(x34) - (sqr(x580) + sqr(x581)) =G= 0;
e1080.. sqr(x35) - (sqr(x582) + sqr(x583)) =G= 0;
e1081.. sqr(x36) - (sqr(x584) + sqr(x585)) =G= 0;
e1082.. sqr(x37) - (sqr(x586) + sqr(x587)) =G= 0;
e1083.. sqr(x38) - (sqr(x588) + sqr(x589)) =G= 0;
e1084.. sqr(x39) - (sqr(x590) + sqr(x591)) =G= 0;
e1085.. sqr(x40) - (sqr(x592) + sqr(x593)) =G= 0;
e1086.. sqr(x41) - (sqr(x594) + sqr(x595)) =G= 0;
e1087.. sqr(x42) - (sqr(x596) + sqr(x597)) =G= 0;
e1088.. sqr(x43) - (sqr(x598) + sqr(x599)) =G= 0;
e1089.. sqr(x44) - (sqr(x600) + sqr(x601)) =G= 0;
e1090.. sqr(x45) - (sqr(x602) + sqr(x603)) =G= 0;
e1091.. sqr(x46) - (sqr(x604) + sqr(x605)) =G= 0;
e1092.. sqr(x47) - (sqr(x606) + sqr(x607)) =G= 0;
e1093.. sqr(x48) - (sqr(x608) + sqr(x609)) =G= 0;
e1094.. sqr(x49) - (sqr(x610) + sqr(x611)) =G= 0;
e1095.. sqr(x50) - (sqr(x612) + sqr(x613)) =G= 0;
e1096.. sqr(x51) - (sqr(x614) + sqr(x615)) =G= 0;
e1097.. sqr(x52) - (sqr(x616) + sqr(x617)) =G= 0;
e1098.. sqr(x53) - (sqr(x618) + sqr(x619)) =G= 0;
e1099.. sqr(x54) - (sqr(x620) + sqr(x621)) =G= 0;
e1100.. sqr(x55) - (sqr(x622) + sqr(x623)) =G= 0;
e1101.. sqr(x56) - (sqr(x624) + sqr(x625)) =G= 0;
e1102.. sqr(x57) - (sqr(x626) + sqr(x627)) =G= 0;
e1103.. sqr(x58) - (sqr(x628) + sqr(x629)) =G= 0;
e1104.. sqr(x59) - (sqr(x630) + sqr(x631)) =G= 0;
e1105.. sqr(x60) - (sqr(x632) + sqr(x633)) =G= 0;
e1106.. sqr(x61) - (sqr(x634) + sqr(x635)) =G= 0;
e1107.. sqr(x62) - (sqr(x636) + sqr(x637)) =G= 0;
e1108.. sqr(x63) - (sqr(x638) + sqr(x639)) =G= 0;
e1109.. sqr(x64) - (sqr(x640) + sqr(x641)) =G= 0;
e1110.. sqr(x65) - (sqr(x642) + sqr(x643)) =G= 0;
e1111.. sqr(x66) - (sqr(x644) + sqr(x645)) =G= 0;
e1112.. sqr(x67) - (sqr(x646) + sqr(x647)) =G= 0;
e1113.. sqr(x68) - (sqr(x648) + sqr(x649)) =G= 0;
e1114.. sqr(x69) - (sqr(x650) + sqr(x651)) =G= 0;
e1115.. sqr(x70) - (sqr(x652) + sqr(x653)) =G= 0;
e1116.. sqr(x71) - (sqr(x654) + sqr(x655)) =G= 0;
e1117.. sqr(x72) - (sqr(x656) + sqr(x657)) =G= 0;
e1118.. sqr(x73) - (sqr(x658) + sqr(x659)) =G= 0;
e1119.. sqr(x74) - (sqr(x660) + sqr(x661)) =G= 0;
e1120.. sqr(x75) - (sqr(x662) + sqr(x663)) =G= 0;
e1121.. sqr(x76) - (sqr(x664) + sqr(x665)) =G= 0;
e1122.. sqr(x77) - (sqr(x666) + sqr(x667)) =G= 0;
e1123.. sqr(x78) - (sqr(x668) + sqr(x669)) =G= 0;
e1124.. sqr(x79) - (sqr(x670) + sqr(x671)) =G= 0;
e1125.. sqr(x80) - (sqr(x672) + sqr(x673)) =G= 0;
e1126.. sqr(x81) - (sqr(x674) + sqr(x675)) =G= 0;
e1127.. sqr(x82) - (sqr(x676) + sqr(x677)) =G= 0;
e1128.. sqr(x83) - (sqr(x678) + sqr(x679)) =G= 0;
e1129.. sqr(x84) - (sqr(x680) + sqr(x681)) =G= 0;
e1130.. sqr(x85) - (sqr(x682) + sqr(x683)) =G= 0;
e1131.. sqr(x86) - (sqr(x684) + sqr(x685)) =G= 0;
e1132.. sqr(x87) - (sqr(x686) + sqr(x687)) =G= 0;
e1133.. sqr(x88) - (sqr(x688) + sqr(x689)) =G= 0;
e1134.. sqr(x89) - (sqr(x690) + sqr(x691)) =G= 0;
e1135.. sqr(x90) - (sqr(x692) + sqr(x693)) =G= 0;
e1136.. sqr(x91) - (sqr(x694) + sqr(x695)) =G= 0;
e1137.. sqr(x92) - (sqr(x696) + sqr(x697)) =G= 0;
e1138.. sqr(x93) - (sqr(x698) + sqr(x699)) =G= 0;
e1139.. sqr(x94) - (sqr(x700) + sqr(x701)) =G= 0;
e1140.. sqr(x95) - (sqr(x702) + sqr(x703)) =G= 0;
e1141.. sqr(x96) - (sqr(x704) + sqr(x705)) =G= 0;
e1142.. sqr(x97) - (sqr(x706) + sqr(x707)) =G= 0;
e1143.. sqr(x98) - (sqr(x708) + sqr(x709)) =G= 0;
e1144.. sqr(x99) - (sqr(x710) + sqr(x711)) =G= 0;
e1145.. sqr(x100) - (sqr(x712) + sqr(x713)) =G= 0;
e1146.. sqr(x101) - (sqr(x714) + sqr(x715)) =G= 0;
e1147.. sqr(x102) - (sqr(x716) + sqr(x717)) =G= 0;
e1148.. sqr(x103) - (sqr(x718) + sqr(x719)) =G= 0;
e1149.. sqr(x104) - (sqr(x720) + sqr(x721)) =G= 0;
e1150.. sqr(x105) - (sqr(x722) + sqr(x723)) =G= 0;
e1151.. sqr(x106) - (sqr(x724) + sqr(x725)) =G= 0;
e1152.. sqr(x107) - (sqr(x726) + sqr(x727)) =G= 0;
e1153.. sqr(x108) - (sqr(x728) + sqr(x729)) =G= 0;
e1154.. sqr(x109) - (sqr(x730) + sqr(x731)) =G= 0;
e1155.. sqr(x110) - (sqr(x732) + sqr(x733)) =G= 0;
e1156.. sqr(x111) - (sqr(x734) + sqr(x735)) =G= 0;
e1157.. sqr(x112) - (sqr(x736) + sqr(x737)) =G= 0;
e1158.. sqr(x113) - (sqr(x738) + sqr(x739)) =G= 0;
e1159.. sqr(x114) - (sqr(x740) + sqr(x741)) =G= 0;
e1160.. sqr(x115) - (sqr(x742) + sqr(x743)) =G= 0;
e1161.. sqr(x116) - (sqr(x744) + sqr(x745)) =G= 0;
e1162.. sqr(x117) - (sqr(x746) + sqr(x747)) =G= 0;
e1163.. sqr(x118) - (sqr(x748) + sqr(x749)) =G= 0;
e1164.. sqr(x119) - (sqr(x750) + sqr(x751)) =G= 0;
e1165.. sqr(x120) - (sqr(x752) + sqr(x753)) =G= 0;
e1166.. sqr(x121) - (sqr(x754) + sqr(x755)) =G= 0;
e1167.. sqr(x122) - (sqr(x756) + sqr(x757)) =G= 0;
e1168.. sqr(x123) - (sqr(x758) + sqr(x759)) =G= 0;
e1169.. sqr(x124) - (sqr(x760) + sqr(x761)) =G= 0;
e1170.. sqr(x125) - (sqr(x762) + sqr(x763)) =G= 0;
e1171.. sqr(x126) - (sqr(x764) + sqr(x765)) =G= 0;
e1172.. sqr(x127) - (sqr(x766) + sqr(x767)) =G= 0;
e1173.. sqr(x128) - (sqr(x768) + sqr(x769)) =G= 0;
e1174.. sqr(x129) - (sqr(x770) + sqr(x771)) =G= 0;
e1175.. sqr(x130) - (sqr(x772) + sqr(x773)) =G= 0;
e1176.. sqr(x131) - (sqr(x774) + sqr(x775)) =G= 0;
e1177.. sqr(x132) - (sqr(x776) + sqr(x777)) =G= 0;
e1178.. sqr(x133) - (sqr(x778) + sqr(x779)) =G= 0;
e1179.. sqr(x134) - (sqr(x780) + sqr(x781)) =G= 0;
e1180.. sqr(x135) - (sqr(x782) + sqr(x783)) =G= 0;
e1181.. sqr(x136) - (sqr(x784) + sqr(x785)) =G= 0;
e1182.. sqr(x137) - (sqr(x786) + sqr(x787)) =G= 0;
e1183.. sqr(x138) - (sqr(x788) + sqr(x789)) =G= 0;
e1184.. sqr(x139) - (sqr(x790) + sqr(x791)) =G= 0;
e1185.. sqr(x140) - (sqr(x792) + sqr(x793)) =G= 0;
e1186.. sqr(x141) - (sqr(x794) + sqr(x795)) =G= 0;
e1187.. sqr(x142) - (sqr(x796) + sqr(x797)) =G= 0;
e1188.. sqr(x143) - (sqr(x798) + sqr(x799)) =G= 0;
e1189.. sqr(x144) - (sqr(x800) + sqr(x801)) =G= 0;
e1190.. sqr(x145) - (sqr(x802) + sqr(x803)) =G= 0;
e1191.. sqr(x146) - (sqr(x804) + sqr(x805)) =G= 0;
e1192.. sqr(x147) - (sqr(x806) + sqr(x807)) =G= 0;
e1193.. sqr(x148) - (sqr(x808) + sqr(x809)) =G= 0;
e1194.. sqr(x149) - (sqr(x810) + sqr(x811)) =G= 0;
e1195.. sqr(x150) - (sqr(x812) + sqr(x813)) =G= 0;
e1196.. sqr(x151) - (sqr(x814) + sqr(x815)) =G= 0;
e1197.. sqr(x152) - (sqr(x816) + sqr(x817)) =G= 0;
e1198.. sqr(x153) - (sqr(x818) + sqr(x819)) =G= 0;
e1199.. sqr(x154) - (sqr(x820) + sqr(x821)) =G= 0;
e1200.. sqr(x155) - (sqr(x822) + sqr(x823)) =G= 0;
e1201.. sqr(x156) - (sqr(x824) + sqr(x825)) =G= 0;
e1202.. sqr(x157) - (sqr(x826) + sqr(x827)) =G= 0;
e1203.. sqr(x158) - (sqr(x828) + sqr(x829)) =G= 0;
e1204.. sqr(x159) - (sqr(x830) + sqr(x831)) =G= 0;
e1205.. sqr(x160) - (sqr(x832) + sqr(x833)) =G= 0;
e1206.. sqr(x161) - (sqr(x834) + sqr(x835)) =G= 0;
e1207.. sqr(x162) - (sqr(x836) + sqr(x837)) =G= 0;
e1208.. sqr(x163) - (sqr(x838) + sqr(x839)) =G= 0;
e1209.. sqr(x164) - (sqr(x840) + sqr(x841)) =G= 0;
e1210.. sqr(x165) - (sqr(x842) + sqr(x843)) =G= 0;
e1211.. sqr(x166) - (sqr(x844) + sqr(x845)) =G= 0;
e1212.. sqr(x167) - (sqr(x846) + sqr(x847)) =G= 0;
e1213.. sqr(x168) - (sqr(x848) + sqr(x849)) =G= 0;
e1214.. sqr(x169) - (sqr(x850) + sqr(x851)) =G= 0;
e1215.. sqr(x170) - (sqr(x852) + sqr(x853)) =G= 0;
e1216.. sqr(x171) - (sqr(x854) + sqr(x855)) =G= 0;
e1217.. sqr(x172) - (sqr(x856) + sqr(x857)) =G= 0;
e1218.. sqr(x173) - (sqr(x858) + sqr(x859)) =G= 0;
e1219.. sqr(x174) - (sqr(x860) + sqr(x861)) =G= 0;
e1220.. sqr(x175) - (sqr(x862) + sqr(x863)) =G= 0;
e1221.. sqr(x176) - (sqr(x864) + sqr(x865)) =G= 0;
e1222.. sqr(x177) - (sqr(x866) + sqr(x867)) =G= 0;
e1223.. sqr(x178) - (sqr(x868) + sqr(x869)) =G= 0;
e1224.. sqr(x179) - (sqr(x870) + sqr(x871)) =G= 0;
e1225.. sqr(x180) - (sqr(x872) + sqr(x873)) =G= 0;
e1226.. sqr(x181) - (sqr(x874) + sqr(x875)) =G= 0;
e1227.. sqr(x182) - (sqr(x876) + sqr(x877)) =G= 0;
e1228.. sqr(x183) - (sqr(x878) + sqr(x879)) =G= 0;
e1229.. sqr(x184) - (sqr(x880) + sqr(x881)) =G= 0;
e1230.. sqr(x185) - (sqr(x882) + sqr(x883)) =G= 0;
e1231.. sqr(x186) - (sqr(x884) + sqr(x885)) =G= 0;
e1232.. sqr(x187) - (sqr(x886) + sqr(x887)) =G= 0;
e1233.. sqr(x188) - (sqr(x888) + sqr(x889)) =G= 0;
e1234.. sqr(x189) - (sqr(x890) + sqr(x891)) =G= 0;
e1235.. sqr(x190) - (sqr(x892) + sqr(x893)) =G= 0;
e1236.. sqr(x191) - (sqr(x894) + sqr(x895)) =G= 0;
e1237.. sqr(x192) - (sqr(x896) + sqr(x897)) =G= 0;
e1238.. sqr(x193) - (sqr(x898) + sqr(x899)) =G= 0;
e1239.. sqr(x194) - (sqr(x900) + sqr(x901)) =G= 0;
e1240.. sqr(x195) - (sqr(x902) + sqr(x903)) =G= 0;
e1241.. sqr(x196) - (sqr(x904) + sqr(x905)) =G= 0;
e1242.. sqr(x197) - (sqr(x906) + sqr(x907)) =G= 0;
e1243.. sqr(x198) - (sqr(x908) + sqr(x909)) =G= 0;
e1244.. sqr(x199) - (sqr(x910) + sqr(x911)) =G= 0;
e1245.. sqr(x200) - (sqr(x912) + sqr(x913)) =G= 0;
e1246.. sqr(x201) - (sqr(x914) + sqr(x915)) =G= 0;
e1247.. sqr(x202) - (sqr(x916) + sqr(x917)) =G= 0;
e1248.. sqr(x203) - (sqr(x918) + sqr(x919)) =G= 0;
e1249.. sqr(x204) - (sqr(x920) + sqr(x921)) =G= 0;
e1250.. sqr(x205) - (sqr(x922) + sqr(x923)) =G= 0;
e1251.. sqr(x206) - (sqr(x924) + sqr(x925)) =G= 0;
e1252.. sqr(x207) - (sqr(x926) + sqr(x927)) =G= 0;
e1253.. sqr(x208) - (sqr(x928) + sqr(x929)) =G= 0;
e1254.. sqr(x209) - (sqr(x930) + sqr(x931)) =G= 0;
e1255.. sqr(x210) - (sqr(x932) + sqr(x933)) =G= 0;
e1256.. sqr(x211) - (sqr(x934) + sqr(x935)) =G= 0;
e1257.. sqr(x212) - (sqr(x936) + sqr(x937)) =G= 0;
e1258.. sqr(x213) - (sqr(x938) + sqr(x939)) =G= 0;
e1259.. sqr(x214) - (sqr(x940) + sqr(x941)) =G= 0;
e1260.. sqr(x215) - (sqr(x942) + sqr(x943)) =G= 0;
e1261.. sqr(x216) - (sqr(x944) + sqr(x945)) =G= 0;
e1262.. sqr(x217) - (sqr(x946) + sqr(x947)) =G= 0;
e1263.. sqr(x218) - (sqr(x948) + sqr(x949)) =G= 0;
e1264.. sqr(x219) - (sqr(x950) + sqr(x951)) =G= 0;
e1265.. sqr(x220) - (sqr(x952) + sqr(x953)) =G= 0;
e1266.. sqr(x221) - (sqr(x954) + sqr(x955)) =G= 0;
e1267.. sqr(x222) - (sqr(x956) + sqr(x957)) =G= 0;
e1268.. sqr(x223) - (sqr(x958) + sqr(x959)) =G= 0;
e1269.. sqr(x224) - (sqr(x960) + sqr(x961)) =G= 0;
e1270.. sqr(x225) - (sqr(x962) + sqr(x963)) =G= 0;
e1271.. sqr(x226) - (sqr(x964) + sqr(x965)) =G= 0;
e1272.. sqr(x227) - (sqr(x966) + sqr(x967)) =G= 0;
e1273.. sqr(x228) - (sqr(x968) + sqr(x969)) =G= 0;
e1274.. sqr(x229) - (sqr(x970) + sqr(x971)) =G= 0;
e1275.. sqr(x230) - (sqr(x972) + sqr(x973)) =G= 0;
e1276.. sqr(x231) - (sqr(x974) + sqr(x975)) =G= 0;
e1277.. sqr(x232) - (sqr(x976) + sqr(x977)) =G= 0;
e1278.. sqr(x233) - (sqr(x978) + sqr(x979)) =G= 0;
e1279.. sqr(x234) - (sqr(x980) + sqr(x981)) =G= 0;
e1280.. sqr(x235) - (sqr(x982) + sqr(x983)) =G= 0;
e1281.. sqr(x236) - (sqr(x984) + sqr(x985)) =G= 0;
e1282.. sqr(x237) - (sqr(x986) + sqr(x987)) =G= 0;
e1283.. sqr(x238) - (sqr(x988) + sqr(x989)) =G= 0;
e1284.. sqr(x239) - (sqr(x990) + sqr(x991)) =G= 0;
e1285.. sqr(x240) - (sqr(x992) + sqr(x993)) =G= 0;
e1286.. sqr(x241) - (sqr(x994) + sqr(x995)) =G= 0;
e1287.. sqr(x242) - (sqr(x996) + sqr(x997)) =G= 0;
e1288.. sqr(x243) - (sqr(x998) + sqr(x999)) =G= 0;
e1289.. sqr(x244) - (sqr(x1000) + sqr(x1001)) =G= 0;
e1290.. sqr(x245) - (sqr(x1002) + sqr(x1003)) =G= 0;
e1291.. sqr(x246) - (sqr(x1004) + sqr(x1005)) =G= 0;
e1292.. sqr(x247) - (sqr(x1006) + sqr(x1007)) =G= 0;
e1293.. sqr(x248) - (sqr(x1008) + sqr(x1009)) =G= 0;
e1294.. sqr(x249) - (sqr(x1010) + sqr(x1011)) =G= 0;
e1295.. sqr(x250) - (sqr(x1012) + sqr(x1013)) =G= 0;
e1296.. sqr(x251) - (sqr(x1014) + sqr(x1015)) =G= 0;
e1297.. sqr(x252) - (sqr(x1016) + sqr(x1017)) =G= 0;
e1298.. sqr(x253) - (sqr(x1018) + sqr(x1019)) =G= 0;
e1299.. sqr(x254) - (sqr(x1020) + sqr(x1021)) =G= 0;
e1300.. sqr(x255) - (sqr(x1022) + sqr(x1023)) =G= 0;
e1301.. sqr(x256) - (sqr(x1024) + sqr(x1025)) =G= 0;
e1302.. sqr(x257) - (sqr(x1026) + sqr(x1027)) =G= 0;
e1303.. sqr(x258) - (sqr(x1028) + sqr(x1029)) =G= 0;
e1304.. sqr(x259) - (sqr(x1030) + sqr(x1031)) =G= 0;
e1305.. sqr(x260) - (sqr(x1032) + sqr(x1033)) =G= 0;
e1306.. sqr(x261) - (sqr(x1034) + sqr(x1035)) =G= 0;
e1307.. sqr(x262) - (sqr(x1036) + sqr(x1037)) =G= 0;
e1308.. sqr(x263) - (sqr(x1038) + sqr(x1039)) =G= 0;
e1309.. sqr(x264) - (sqr(x1040) + sqr(x1041)) =G= 0;
e1310.. sqr(x265) - (sqr(x1042) + sqr(x1043)) =G= 0;
e1311.. sqr(x266) - (sqr(x1044) + sqr(x1045)) =G= 0;
e1312.. sqr(x267) - (sqr(x1046) + sqr(x1047)) =G= 0;
e1313.. sqr(x268) - (sqr(x1048) + sqr(x1049)) =G= 0;
e1314.. sqr(x269) - (sqr(x1050) + sqr(x1051)) =G= 0;
e1315.. sqr(x270) - (sqr(x1052) + sqr(x1053)) =G= 0;
e1316.. sqr(x271) - (sqr(x1054) + sqr(x1055)) =G= 0;
e1317.. sqr(x272) - (sqr(x1056) + sqr(x1057)) =G= 0;
e1318.. sqr(x273) - (sqr(x1058) + sqr(x1059)) =G= 0;
e1319.. sqr(x274) - (sqr(x1060) + sqr(x1061)) =G= 0;
e1320.. sqr(x275) - (sqr(x1062) + sqr(x1063)) =G= 0;
e1321.. sqr(x276) - (sqr(x1064) + sqr(x1065)) =G= 0;
e1322.. sqr(x277) - (sqr(x1066) + sqr(x1067)) =G= 0;
e1323.. sqr(x278) - (sqr(x1068) + sqr(x1069)) =G= 0;
e1324.. sqr(x279) - (sqr(x1070) + sqr(x1071)) =G= 0;
e1325.. sqr(x280) - (sqr(x1072) + sqr(x1073)) =G= 0;
e1326.. sqr(x281) - (sqr(x1074) + sqr(x1075)) =G= 0;
e1327.. sqr(x282) - (sqr(x1076) + sqr(x1077)) =G= 0;
e1328.. sqr(x283) - (sqr(x1078) + sqr(x1079)) =G= 0;
e1329.. sqr(x284) - (sqr(x1080) + sqr(x1081)) =G= 0;
e1330.. sqr(x285) - (sqr(x1082) + sqr(x1083)) =G= 0;
e1331.. sqr(x286) - (sqr(x1084) + sqr(x1085)) =G= 0;
e1332.. sqr(x287) - (sqr(x1086) + sqr(x1087)) =G= 0;
e1333.. sqr(x288) - (sqr(x1088) + sqr(x1089)) =G= 0;
e1334.. sqr(x289) - (sqr(x1090) + sqr(x1091)) =G= 0;
e1335.. sqr(x290) - (sqr(x1092) + sqr(x1093)) =G= 0;
e1336.. sqr(x291) - (sqr(x1094) + sqr(x1095)) =G= 0;
e1337.. sqr(x292) - (sqr(x1096) + sqr(x1097)) =G= 0;
e1338.. sqr(x293) - (sqr(x1098) + sqr(x1099)) =G= 0;
e1339.. sqr(x294) - (sqr(x1100) + sqr(x1101)) =G= 0;
e1340.. sqr(x295) - (sqr(x1102) + sqr(x1103)) =G= 0;
e1341.. sqr(x296) - (sqr(x1104) + sqr(x1105)) =G= 0;
e1342.. sqr(x297) - (sqr(x1106) + sqr(x1107)) =G= 0;
e1343.. sqr(x298) - (sqr(x1108) + sqr(x1109)) =G= 0;
e1344.. sqr(x299) - (sqr(x1110) + sqr(x1111)) =G= 0;
e1345.. sqr(x300) - (sqr(x1112) + sqr(x1113)) =G= 0;
e1346.. sqr(x301) - (sqr(x1114) + sqr(x1115)) =G= 0;
e1347.. sqr(x302) - (sqr(x1116) + sqr(x1117)) =G= 0;
e1348.. sqr(x303) - (sqr(x1118) + sqr(x1119)) =G= 0;
e1349.. sqr(x304) - (sqr(x1120) + sqr(x1121)) =G= 0;
e1350.. sqr(x305) - (sqr(x1122) + sqr(x1123)) =G= 0;
e1351.. sqr(x306) - (sqr(x1124) + sqr(x1125)) =G= 0;
e1352.. sqr(x307) - (sqr(x1126) + sqr(x1127)) =G= 0;
e1353.. sqr(x308) - (sqr(x1128) + sqr(x1129)) =G= 0;
e1354.. sqr(x309) - (sqr(x1130) + sqr(x1131)) =G= 0;
e1355.. sqr(x310) - (sqr(x1132) + sqr(x1133)) =G= 0;
e1356.. sqr(x311) - (sqr(x1134) + sqr(x1135)) =G= 0;
e1357.. sqr(x312) - (sqr(x1136) + sqr(x1137)) =G= 0;
e1358.. sqr(x313) - (sqr(x1138) + sqr(x1139)) =G= 0;
e1359.. sqr(x314) - (sqr(x1140) + sqr(x1141)) =G= 0;
e1360.. sqr(x315) - (sqr(x1142) + sqr(x1143)) =G= 0;
e1361.. sqr(x316) - (sqr(x1144) + sqr(x1145)) =G= 0;
e1362.. sqr(x317) - (sqr(x1146) + sqr(x1147)) =G= 0;
e1363.. sqr(x318) - (sqr(x1148) + sqr(x1149)) =G= 0;
e1364.. sqr(x319) - (sqr(x1150) + sqr(x1151)) =G= 0;
e1365.. sqr(x320) - (sqr(x1152) + sqr(x1153)) =G= 0;
e1366.. sqr(x321) - (sqr(x1154) + sqr(x1155)) =G= 0;
e1367.. sqr(x322) - (sqr(x1156) + sqr(x1157)) =G= 0;
e1368.. sqr(x323) - (sqr(x1158) + sqr(x1159)) =G= 0;
e1369.. sqr(x324) - (sqr(x1160) + sqr(x1161)) =G= 0;
e1370.. sqr(x325) - (sqr(x1162) + sqr(x1163)) =G= 0;
e1371.. sqr(x326) - (sqr(x1164) + sqr(x1165)) =G= 0;
e1372.. sqr(x327) - (sqr(x1166) + sqr(x1167)) =G= 0;
e1373.. sqr(x328) - (sqr(x1168) + sqr(x1169)) =G= 0;
e1374.. sqr(x329) - (sqr(x1170) + sqr(x1171)) =G= 0;
e1375.. sqr(x330) - (sqr(x1172) + sqr(x1173)) =G= 0;
e1376.. sqr(x331) - (sqr(x1174) + sqr(x1175)) =G= 0;
e1377.. sqr(x332) - (sqr(x1176) + sqr(x1177)) =G= 0;
e1378.. sqr(x333) - (sqr(x1178) + sqr(x1179)) =G= 0;
e1379.. sqr(x334) - (sqr(x1180) + sqr(x1181)) =G= 0;
e1380.. sqr(x335) - (sqr(x1182) + sqr(x1183)) =G= 0;
e1381.. sqr(x336) - (sqr(x1184) + sqr(x1185)) =G= 0;
e1382.. sqr(x337) - (sqr(x1186) + sqr(x1187)) =G= 0;
e1383.. sqr(x338) - (sqr(x1188) + sqr(x1189)) =G= 0;
e1384.. sqr(x339) - (sqr(x1190) + sqr(x1191)) =G= 0;
e1385.. sqr(x340) - (sqr(x1192) + sqr(x1193)) =G= 0;
e1386.. sqr(x341) - (sqr(x1194) + sqr(x1195)) =G= 0;
e1387.. sqr(x342) - (sqr(x1196) + sqr(x1197)) =G= 0;
e1388.. sqr(x343) - (sqr(x1198) + sqr(x1199)) =G= 0;
e1389.. sqr(x344) - (sqr(x1200) + sqr(x1201)) =G= 0;
e1390.. sqr(x345) - (sqr(x1202) + sqr(x1203)) =G= 0;
e1391.. sqr(x346) - (sqr(x1204) + sqr(x1205)) =G= 0;
e1392.. sqr(x347) - (sqr(x1206) + sqr(x1207)) =G= 0;
e1393.. sqr(x348) - (sqr(x1208) + sqr(x1209)) =G= 0;
e1394.. sqr(x349) - (sqr(x1210) + sqr(x1211)) =G= 0;
e1395.. sqr(x350) - (sqr(x1212) + sqr(x1213)) =G= 0;
e1396.. sqr(x351) - (sqr(x1214) + sqr(x1215)) =G= 0;
e1397.. sqr(x352) - (sqr(x1216) + sqr(x1217)) =G= 0;
e1398.. sqr(x353) - (sqr(x1218) + sqr(x1219)) =G= 0;
e1399.. sqr(x354) - (sqr(x1220) + sqr(x1221)) =G= 0;
e1400.. sqr(x355) - (sqr(x1222) + sqr(x1223)) =G= 0;
e1401.. sqr(x356) - (sqr(x1224) + sqr(x1225)) =G= 0;
e1402.. sqr(x357) - (sqr(x1226) + sqr(x1227)) =G= 0;
e1403.. sqr(x358) - (sqr(x1228) + sqr(x1229)) =G= 0;
e1404.. sqr(x359) - (sqr(x1230) + sqr(x1231)) =G= 0;
e1405.. sqr(x360) - (sqr(x1232) + sqr(x1233)) =G= 0;
e1406.. sqr(x361) - (sqr(x1234) + sqr(x1235)) =G= 0;
e1407.. sqr(x362) - (sqr(x1236) + sqr(x1237)) =G= 0;
e1408.. sqr(x363) - (sqr(x1238) + sqr(x1239)) =G= 0;
e1409.. sqr(x364) - (sqr(x1240) + sqr(x1241)) =G= 0;
e1410.. sqr(x365) - (sqr(x1242) + sqr(x1243)) =G= 0;
e1411.. sqr(x366) - (sqr(x1244) + sqr(x1245)) =G= 0;
e1412.. sqr(x367) - (sqr(x1246) + sqr(x1247)) =G= 0;
e1413.. sqr(x368) - (sqr(x1248) + sqr(x1249)) =G= 0;
e1414.. sqr(x369) - (sqr(x1250) + sqr(x1251)) =G= 0;
e1415.. sqr(x370) - (sqr(x1252) + sqr(x1253)) =G= 0;
e1416.. sqr(x371) - (sqr(x1254) + sqr(x1255)) =G= 0;
e1417.. sqr(x372) - (sqr(x1256) + sqr(x1257)) =G= 0;
e1418.. sqr(x373) - (sqr(x1258) + sqr(x1259)) =G= 0;
e1419.. sqr(x374) - (sqr(x1260) + sqr(x1261)) =G= 0;
e1420.. sqr(x375) - (sqr(x1262) + sqr(x1263)) =G= 0;
e1421.. sqr(x376) - (sqr(x1264) + sqr(x1265)) =G= 0;
e1422.. sqr(x377) - (sqr(x1266) + sqr(x1267)) =G= 0;
e1423.. sqr(x378) - (sqr(x1268) + sqr(x1269)) =G= 0;
e1424.. sqr(x379) - (sqr(x1270) + sqr(x1271)) =G= 0;
e1425.. sqr(x380) - (sqr(x1272) + sqr(x1273)) =G= 0;
e1426.. sqr(x381) - (sqr(x1274) + sqr(x1275)) =G= 0;
e1427.. sqr(x382) - (sqr(x1276) + sqr(x1277)) =G= 0;
e1428.. sqr(x383) - (sqr(x1278) + sqr(x1279)) =G= 0;
e1429.. sqr(x384) - (sqr(x1280) + sqr(x1281)) =G= 0;
e1430.. sqr(x385) - (sqr(x1282) + sqr(x1283)) =G= 0;
e1431.. sqr(x386) - (sqr(x1284) + sqr(x1285)) =G= 0;
e1432.. sqr(x387) - (sqr(x1286) + sqr(x1287)) =G= 0;
e1433.. sqr(x388) - (sqr(x1288) + sqr(x1289)) =G= 0;
e1434.. sqr(x389) - (sqr(x1290) + sqr(x1291)) =G= 0;
e1435.. sqr(x390) - (sqr(x1292) + sqr(x1293)) =G= 0;
e1436.. sqr(x391) - (sqr(x1294) + sqr(x1295)) =G= 0;
e1437.. sqr(x392) - (sqr(x1296) + sqr(x1297)) =G= 0;
e1438.. sqr(x393) - (sqr(x1298) + sqr(x1299)) =G= 0;
e1439.. sqr(x394) - (sqr(x1300) + sqr(x1301)) =G= 0;
e1440.. sqr(x395) - (sqr(x1302) + sqr(x1303)) =G= 0;
e1441.. sqr(x396) - (sqr(x1304) + sqr(x1305)) =G= 0;
e1442.. sqr(x397) - (sqr(x1306) + sqr(x1307)) =G= 0;
e1443.. sqr(x398) - (sqr(x1308) + sqr(x1309)) =G= 0;
e1444.. sqr(x399) - (sqr(x1310) + sqr(x1311)) =G= 0;
e1445.. sqr(x400) - (sqr(x1312) + sqr(x1313)) =G= 0;
e1446.. sqr(x401) - (sqr(x1314) + sqr(x1315)) =G= 0;
e1447.. sqr(x402) - (sqr(x1316) + sqr(x1317)) =G= 0;
e1448.. sqr(x403) - (sqr(x1318) + sqr(x1319)) =G= 0;
e1449.. sqr(x404) - (sqr(x1320) + sqr(x1321)) =G= 0;
e1450.. sqr(x405) - (sqr(x1322) + sqr(x1323)) =G= 0;
e1451.. sqr(x406) - (sqr(x1324) + sqr(x1325)) =G= 0;
e1452.. sqr(x407) - (sqr(x1326) + sqr(x1327)) =G= 0;
e1453.. sqr(x408) - (sqr(x1328) + sqr(x1329)) =G= 0;
e1454.. sqr(x409) - (sqr(x1330) + sqr(x1331)) =G= 0;
e1455.. sqr(x410) - (sqr(x1332) + sqr(x1333)) =G= 0;
e1456.. sqr(x411) - (sqr(x1334) + sqr(x1335)) =G= 0;
e1457.. sqr(x412) - (sqr(x1336) + sqr(x1337)) =G= 0;
e1458.. sqr(x413) - (sqr(x1338) + sqr(x1339)) =G= 0;
e1459.. sqr(x414) - (sqr(x1340) + sqr(x1341)) =G= 0;
e1460.. sqr(x415) - (sqr(x1342) + sqr(x1343)) =G= 0;
e1461.. sqr(x416) - (sqr(x1344) + sqr(x1345)) =G= 0;
e1462.. sqr(x417) - (sqr(x1346) + sqr(x1347)) =G= 0;
e1463.. sqr(x418) - (sqr(x1348) + sqr(x1349)) =G= 0;
e1464.. sqr(x419) - (sqr(x1350) + sqr(x1351)) =G= 0;
e1465.. sqr(x420) - (sqr(x1352) + sqr(x1353)) =G= 0;
e1466.. sqr(x421) - (sqr(x1354) + sqr(x1355)) =G= 0;
e1467.. sqr(x422) - (sqr(x1356) + sqr(x1357)) =G= 0;
e1468.. sqr(x423) - (sqr(x1358) + sqr(x1359)) =G= 0;
e1469.. sqr(x424) - (sqr(x1360) + sqr(x1361)) =G= 0;
e1470.. sqr(x425) - (sqr(x1362) + sqr(x1363)) =G= 0;
e1471.. sqr(x426) - (sqr(x1364) + sqr(x1365)) =G= 0;
e1472.. sqr(x427) - (sqr(x1366) + sqr(x1367)) =G= 0;
e1473.. sqr(x428) - (sqr(x1368) + sqr(x1369)) =G= 0;
e1474.. sqr(x429) - (sqr(x1370) + sqr(x1371)) =G= 0;
e1475.. sqr(x430) - (sqr(x1372) + sqr(x1373)) =G= 0;
e1476.. sqr(x431) - (sqr(x1374) + sqr(x1375)) =G= 0;
e1477.. sqr(x432) - (sqr(x1376) + sqr(x1377)) =G= 0;
e1478.. sqr(x433) - (sqr(x1378) + sqr(x1379)) =G= 0;
e1479.. sqr(x434) - (sqr(x1380) + sqr(x1381)) =G= 0;
e1480.. sqr(x435) - (sqr(x1382) + sqr(x1383)) =G= 0;
e1481.. sqr(x436) - (sqr(x1384) + sqr(x1385)) =G= 0;
e1482.. sqr(x437) - (sqr(x1386) + sqr(x1387)) =G= 0;
e1483.. sqr(x438) - (sqr(x1388) + sqr(x1389)) =G= 0;
e1484.. sqr(x439) - (sqr(x1390) + sqr(x1391)) =G= 0;
e1485.. sqr(x440) - (sqr(x1392) + sqr(x1393)) =G= 0;
e1486.. sqr(x441) - (sqr(x1394) + sqr(x1395)) =G= 0;
e1487.. sqr(x442) - (sqr(x1396) + sqr(x1397)) =G= 0;
e1488.. sqr(x443) - (sqr(x1398) + sqr(x1399)) =G= 0;
e1489.. sqr(x444) - (sqr(x1400) + sqr(x1401)) =G= 0;
e1490.. sqr(x445) - (sqr(x1402) + sqr(x1403)) =G= 0;
e1491.. sqr(x446) - (sqr(x1404) + sqr(x1405)) =G= 0;
e1492.. sqr(x447) - (sqr(x1406) + sqr(x1407)) =G= 0;
e1493.. sqr(x448) - (sqr(x1408) + sqr(x1409)) =G= 0;
e1494.. sqr(x449) - (sqr(x1410) + sqr(x1411)) =G= 0;
e1495.. sqr(x450) - (sqr(x1412) + sqr(x1413)) =G= 0;
e1496.. sqr(x451) - (sqr(x1414) + sqr(x1415)) =G= 0;
e1497.. sqr(x452) - (sqr(x1416) + sqr(x1417)) =G= 0;
e1498.. sqr(x453) - (sqr(x1418) + sqr(x1419)) =G= 0;
e1499.. sqr(x454) - (sqr(x1420) + sqr(x1421)) =G= 0;
e1500.. sqr(x455) - (sqr(x1422) + sqr(x1423)) =G= 0;
e1501.. sqr(x456) - (sqr(x1424) + sqr(x1425)) =G= 0;
e1502.. sqr(x457) - (sqr(x1426) + sqr(x1427)) =G= 0;
e1503.. sqr(x458) - (sqr(x1428) + sqr(x1429)) =G= 0;
e1504.. sqr(x459) - (sqr(x1430) + sqr(x1431)) =G= 0;
e1505.. sqr(x460) - (sqr(x1432) + sqr(x1433)) =G= 0;
e1506.. sqr(x461) - (sqr(x1434) + sqr(x1435)) =G= 0;
e1507.. sqr(x462) - (sqr(x1436) + sqr(x1437)) =G= 0;
e1508.. sqr(x463) - (sqr(x1438) + sqr(x1439)) =G= 0;
e1509.. sqr(x464) - (sqr(x1440) + sqr(x1441)) =G= 0;
e1510.. sqr(x465) - (sqr(x1442) + sqr(x1443)) =G= 0;
e1511.. sqr(x466) - (sqr(x1444) + sqr(x1445)) =G= 0;
e1512.. sqr(x467) - (sqr(x1446) + sqr(x1447)) =G= 0;
e1513.. sqr(x468) - (sqr(x1448) + sqr(x1449)) =G= 0;
e1514.. sqr(x469) - (sqr(x1450) + sqr(x1451)) =G= 0;
e1515.. sqr(x470) - (sqr(x1452) + sqr(x1453)) =G= 0;
e1516.. sqr(x471) - (sqr(x1454) + sqr(x1455)) =G= 0;
e1517.. sqr(x472) - (sqr(x1456) + sqr(x1457)) =G= 0;
e1518.. sqr(x473) - (sqr(x1458) + sqr(x1459)) =G= 0;
e1519.. sqr(x474) - (sqr(x1460) + sqr(x1461)) =G= 0;
e1520.. sqr(x475) - (sqr(x1462) + sqr(x1463)) =G= 0;
e1521.. sqr(x476) - (sqr(x1464) + sqr(x1465)) =G= 0;
e1522.. sqr(x477) - (sqr(x1466) + sqr(x1467)) =G= 0;
e1523.. sqr(x478) - (sqr(x1468) + sqr(x1469)) =G= 0;
e1524.. sqr(x479) - (sqr(x1470) + sqr(x1471)) =G= 0;
e1525.. sqr(x480) - (sqr(x1472) + sqr(x1473)) =G= 0;
e1526.. sqr(x481) - (sqr(x1474) + sqr(x1475)) =G= 0;
e1527.. sqr(x482) - (sqr(x1476) + sqr(x1477)) =G= 0;
e1528.. sqr(x483) - (sqr(x1478) + sqr(x1479)) =G= 0;
e1529.. sqr(x484) - (sqr(x1480) + sqr(x1481)) =G= 0;
e1530.. sqr(x485) - (sqr(x1482) + sqr(x1483)) =G= 0;
e1531.. sqr(x486) - (sqr(x1484) + sqr(x1485)) =G= 0;
e1532.. sqr(x487) - (sqr(x1486) + sqr(x1487)) =G= 0;
e1533.. sqr(x488) - (sqr(x1488) + sqr(x1489)) =G= 0;
e1534.. sqr(x489) - (sqr(x1490) + sqr(x1491)) =G= 0;
e1535.. sqr(x490) - (sqr(x1492) + sqr(x1493)) =G= 0;
e1536.. sqr(x491) - (sqr(x1494) + sqr(x1495)) =G= 0;
e1537.. sqr(x492) - (sqr(x1496) + sqr(x1497)) =G= 0;
e1538.. sqr(x493) - (sqr(x1498) + sqr(x1499)) =G= 0;
e1539.. sqr(x494) - (sqr(x1500) + sqr(x1501)) =G= 0;
e1540.. sqr(x495) - (sqr(x1502) + sqr(x1503)) =G= 0;
e1541.. sqr(x496) - (sqr(x1504) + sqr(x1505)) =G= 0;
e1542.. sqr(x497) - (sqr(x1506) + sqr(x1507)) =G= 0;
e1543.. sqr(x498) - (sqr(x1508) + sqr(x1509)) =G= 0;
e1544.. sqr(x499) - (sqr(x1510) + sqr(x1511)) =G= 0;
e1545.. sqr(x500) - (sqr(x1512) + sqr(x1513)) =G= 0;
e1546.. sqr(x501) - (sqr(x1514) + sqr(x1515)) =G= 0;
e1547.. sqr(x502) - (sqr(x1516) + sqr(x1517)) =G= 0;
e1548.. sqr(x503) - (sqr(x1518) + sqr(x1519)) =G= 0;
e1549.. sqr(x504) - (sqr(x1520) + sqr(x1521)) =G= 0;
e1550.. sqr(x505) - (sqr(x1522) + sqr(x1523)) =G= 0;
e1551.. sqr(x506) - (sqr(x1524) + sqr(x1525)) =G= 0;
e1552.. sqr(x507) - (sqr(x1526) + sqr(x1527)) =G= 0;
e1553.. sqr(x508) - (sqr(x1528) + sqr(x1529)) =G= 0;
e1554.. sqr(x509) - (sqr(x1530) + sqr(x1531)) =G= 0;
e1555.. sqr(x510) - (sqr(x1532) + sqr(x1533)) =G= 0;
e1556.. sqr(x511) - (sqr(x1534) + sqr(x1535)) =G= 0;
e1557.. sqr(x512) - (sqr(x1536) + sqr(x1537)) =G= 0;
e1558.. sqr(x513) - (sqr(x1538) + sqr(x1539)) =G= 0;
e1559.. sqr(x514) - (sqr(x1540) + sqr(x1541)) =G= 0;
e1560.. sqr(x515) - (sqr(x1542) + sqr(x1543)) =G= 0;
e1561.. sqr(x516) - (sqr(x1544) + sqr(x1545)) =G= 0;
e1562.. sqr(x517) - (sqr(x1546) + sqr(x1547)) =G= 0;
e1563.. sqr(x518) - (sqr(x1548) + sqr(x1549)) =G= 0;
e1564.. sqr(x519) - (sqr(x1550) + sqr(x1551)) =G= 0;
e1565.. sqr(x520) - (sqr(x1552) + sqr(x1553)) =G= 0;
e1566.. sqr(x521) - (sqr(x1554) + sqr(x1555)) =G= 0;
e1567.. sqr(x522) - (sqr(x1556) + sqr(x1557)) =G= 0;
e1568.. sqr(x523) - (sqr(x1558) + sqr(x1559)) =G= 0;
e1569.. sqr(x524) - (sqr(x1560) + sqr(x1561)) =G= 0;
e1570.. sqr(x525) - (sqr(x1562) + sqr(x1563)) =G= 0;
e1571.. sqr(x526) - (sqr(x1564) + sqr(x1565)) =G= 0;
e1572.. sqr(x527) - (sqr(x1566) + sqr(x1567)) =G= 0;
e1573.. sqr(x528) - (sqr(x1568) + sqr(x1569)) =G= 0;
e1574.. sqr(x529) - (sqr(x1570) + sqr(x1571)) =G= 0;
e1575.. sqr(x530) - (sqr(x1572) + sqr(x1573)) =G= 0;
e1576.. sqr(x531) - (sqr(x1574) + sqr(x1575)) =G= 0;
e1577.. sqr(x532) - (sqr(x1576) + sqr(x1577)) =G= 0;
e1578.. sqr(x533) - (sqr(x1578) + sqr(x1579)) =G= 0;
e1579.. sqr(x534) - (sqr(x1580) + sqr(x1581)) =G= 0;
e1580.. sqr(x535) - (sqr(x1582) + sqr(x1583)) =G= 0;
e1581.. sqr(x536) - (sqr(x1584) + sqr(x1585)) =G= 0;
e1582.. sqr(x537) - (sqr(x1586) + sqr(x1587)) =G= 0;
e1583.. sqr(x538) - (sqr(x1588) + sqr(x1589)) =G= 0;
e1584.. sqr(x539) - (sqr(x1590) + sqr(x1591)) =G= 0;
e1585.. sqr(x540) - (sqr(x1592) + sqr(x1593)) =G= 0;
e1586.. sqr(x541) - (sqr(x1594) + sqr(x1595)) =G= 0;
e1587.. sqr(x542) - (sqr(x1596) + sqr(x1597)) =G= 0;
e1588.. sqr(x543) - (sqr(x1598) + sqr(x1599)) =G= 0;
e1589.. sqr(x544) - (sqr(x1600) + sqr(x1601)) =G= 0;
e1590.. sqr(x545) - (sqr(x1602) + sqr(x1603)) =G= 0;
e1591.. sqr(x546) - (sqr(x1604) + sqr(x1605)) =G= 0;
e1592.. sqr(x547) - (sqr(x1606) + sqr(x1607)) =G= 0;
e1593.. sqr(x548) - (sqr(x1608) + sqr(x1609)) =G= 0;
e1594.. sqr(x549) - (sqr(x1610) + sqr(x1611)) =G= 0;
* set non-default levels
x1.l = 0.166666666666667;
x2.l = 0.166666666666667;
x3.l = 0.5;
x4.l = 0.166666666666667;
x5.l = 0.833333333333333;
x6.l = 0.166666666666667;
x7.l = 0.166666666666667;
x8.l = 0.5;
x9.l = 0.5;
x10.l = 0.5;
x11.l = 0.833333333333333;
x12.l = 0.5;
x13.l = 0.166666666666667;
x14.l = 0.833333333333333;
x15.l = 0.5;
x16.l = 0.833333333333333;
x17.l = 0.833333333333333;
x18.l = 0.833333333333333;
Model m / all /;
m.limrow=0; m.limcol=0;
m.tolproj=0.0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
$if not set NLP $set NLP NLP
Solve m using %NLP% minimizing objvar;
Last updated: 2025-08-07 Git hash: e62cedfc