QPLIB

A Library of Quadratic Programming Instances

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QPLIB_4270

Formats gms lp mod qplib
Problem type probtype CML
Solution point objective value solobjvalue 99.48264828 (gdx, sol)
Solution point infeasibility solinfeasibility 2.2204e-16
Donor donor Antonio Frangioni
#Variables nvars 1600
#Binary Variables nbinvars 400
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 800
#Nonlinear Variables nnlvars 800
#Nonlinear Binary Variables nnlbinvars 0
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense min
Objective type objtype quadratic
Objective curvature objcurvature convex
#Negative eigenvalues in objective matrix nobjquadnegev  
#Positive eigenvalues in objective matrix nobjquadposev 800
#Nonzeros in Objective nobjnz 1600
#Nonlinear Nonzeros in Objective nobjnlnz 800
#Quadratic Terms in Objective nobjquadnz 80600
#Square Terms in Objective nobjquaddiagnz 800
#Constraints ncons 1603
#Linear Constraints nlincons 1603
#Quadratic Constraints nquadcons 0
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature linear
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 0
#Nonzeros in Jacobian njacobiannz 4800
#Nonlinear Nonzeros in Jacobian njacobiannlnz 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 160400
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 800
#Blocks in Hessian of Lagrangian nlaghessianblocks 401
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 1
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 400
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 1.995012
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_4270.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*       1604      402      401      801        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*       1601     1201      400        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       6401     5601      800        0
*
*  Solve m using MIQCP minimizing objvar;


Variables  objvar,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69
          ,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86
          ,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102
          ,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115
          ,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128
          ,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141
          ,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154
          ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167
          ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
          ,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206
          ,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219
          ,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232
          ,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245
          ,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258
          ,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271
          ,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284
          ,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297
          ,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310
          ,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323
          ,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336
          ,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349
          ,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362
          ,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375
          ,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388
          ,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401
          ,x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414
          ,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427
          ,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440
          ,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453
          ,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466
          ,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479
          ,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492
          ,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505
          ,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518
          ,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531
          ,x532,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544
          ,x545,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557
          ,x558,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570
          ,x571,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583
          ,x584,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596
          ,x597,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609
          ,x610,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622
          ,x623,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635
          ,x636,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648
          ,x649,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661
          ,x662,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673,x674
          ,x675,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686,x687
          ,x688,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699,x700
          ,x701,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712,x713
          ,x714,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725,x726
          ,x727,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738,x739
          ,x740,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751,x752
          ,x753,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763,x764,x765
          ,x766,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777,x778
          ,x779,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790,x791
          ,x792,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803,x804
          ,x805,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816,x817
          ,x818,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829,x830
          ,x831,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842,x843
          ,x844,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854,x855,x856
          ,x857,x858,x859,x860,x861,x862,x863,x864,x865,x866,x867,x868,x869
          ,x870,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880,x881,x882
          ,x883,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893,x894,x895
          ,x896,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906,x907,x908
          ,x909,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920,x921
          ,x922,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933,x934
          ,x935,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946,x947
          ,x948,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958,x959,x960
          ,x961,x962,x963,x964,x965,x966,x967,x968,x969,x970,x971,x972,x973
          ,x974,x975,x976,x977,x978,x979,x980,x981,x982,x983,x984,x985,x986
          ,x987,x988,x989,x990,x991,x992,x993,x994,x995,x996,x997,x998,x999
          ,x1000,x1001,x1002,x1003,x1004,x1005,x1006,x1007,x1008,x1009,x1010
          ,x1011,x1012,x1013,x1014,x1015,x1016,x1017,x1018,x1019,x1020,x1021
          ,x1022,x1023,x1024,x1025,x1026,x1027,x1028,x1029,x1030,x1031,x1032
          ,x1033,x1034,x1035,x1036,x1037,x1038,x1039,x1040,x1041,x1042,x1043
          ,x1044,x1045,x1046,x1047,x1048,x1049,x1050,x1051,x1052,x1053,x1054
          ,x1055,x1056,x1057,x1058,x1059,x1060,x1061,x1062,x1063,x1064,x1065
          ,x1066,x1067,x1068,x1069,x1070,x1071,x1072,x1073,x1074,x1075,x1076
          ,x1077,x1078,x1079,x1080,x1081,x1082,x1083,x1084,x1085,x1086,x1087
          ,x1088,x1089,x1090,x1091,x1092,x1093,x1094,x1095,x1096,x1097,x1098
          ,x1099,x1100,x1101,x1102,x1103,x1104,x1105,x1106,x1107,x1108,x1109
          ,x1110,x1111,x1112,x1113,x1114,x1115,x1116,x1117,x1118,x1119,x1120
          ,x1121,x1122,x1123,x1124,x1125,x1126,x1127,x1128,x1129,x1130,x1131
          ,x1132,x1133,x1134,x1135,x1136,x1137,x1138,x1139,x1140,x1141,x1142
          ,x1143,x1144,x1145,x1146,x1147,x1148,x1149,x1150,x1151,x1152,x1153
          ,x1154,x1155,x1156,x1157,x1158,x1159,x1160,x1161,x1162,x1163,x1164
          ,x1165,x1166,x1167,x1168,x1169,x1170,x1171,x1172,x1173,x1174,x1175
          ,x1176,x1177,x1178,x1179,x1180,x1181,x1182,x1183,x1184,x1185,x1186
          ,x1187,x1188,x1189,x1190,x1191,x1192,x1193,x1194,x1195,x1196,x1197
          ,x1198,x1199,x1200,x1201,x1202,x1203,x1204,x1205,x1206,x1207,x1208
          ,x1209,x1210,x1211,x1212,x1213,x1214,x1215,x1216,x1217,x1218,x1219
          ,x1220,x1221,x1222,x1223,x1224,x1225,x1226,x1227,x1228,x1229,x1230
          ,x1231,x1232,x1233,x1234,x1235,x1236,x1237,x1238,x1239,x1240,x1241
          ,x1242,x1243,x1244,x1245,x1246,x1247,x1248,x1249,x1250,x1251,x1252
          ,x1253,x1254,x1255,x1256,x1257,x1258,x1259,x1260,x1261,x1262,x1263
          ,x1264,x1265,x1266,x1267,x1268,x1269,x1270,x1271,x1272,x1273,x1274
          ,x1275,x1276,x1277,x1278,x1279,x1280,x1281,x1282,x1283,x1284,x1285
          ,x1286,x1287,x1288,x1289,x1290,x1291,x1292,x1293,x1294,x1295,x1296
          ,x1297,x1298,x1299,x1300,x1301,x1302,x1303,x1304,x1305,x1306,x1307
          ,x1308,x1309,x1310,x1311,x1312,x1313,x1314,x1315,x1316,x1317,x1318
          ,x1319,x1320,x1321,x1322,x1323,x1324,x1325,x1326,x1327,x1328,x1329
          ,x1330,x1331,x1332,x1333,x1334,x1335,x1336,x1337,x1338,x1339,x1340
          ,x1341,x1342,x1343,x1344,x1345,x1346,x1347,x1348,x1349,x1350,x1351
          ,x1352,x1353,x1354,x1355,x1356,x1357,x1358,x1359,x1360,x1361,x1362
          ,x1363,x1364,x1365,x1366,x1367,x1368,x1369,x1370,x1371,x1372,x1373
          ,x1374,x1375,x1376,x1377,x1378,x1379,x1380,x1381,x1382,x1383,x1384
          ,x1385,x1386,x1387,x1388,x1389,x1390,x1391,x1392,x1393,x1394,x1395
          ,x1396,x1397,x1398,x1399,x1400,x1401,x1402,x1403,x1404,x1405,x1406
          ,x1407,x1408,x1409,x1410,x1411,x1412,x1413,x1414,x1415,x1416,x1417
          ,x1418,x1419,x1420,x1421,x1422,x1423,x1424,x1425,x1426,x1427,x1428
          ,x1429,x1430,x1431,x1432,x1433,x1434,x1435,x1436,x1437,x1438,x1439
          ,x1440,x1441,x1442,x1443,x1444,x1445,x1446,x1447,x1448,x1449,x1450
          ,x1451,x1452,x1453,x1454,x1455,x1456,x1457,x1458,x1459,x1460,x1461
          ,x1462,x1463,x1464,x1465,x1466,x1467,x1468,x1469,x1470,x1471,x1472
          ,x1473,x1474,x1475,x1476,x1477,x1478,x1479,x1480,x1481,x1482,x1483
          ,x1484,x1485,x1486,x1487,x1488,x1489,x1490,x1491,x1492,x1493,x1494
          ,x1495,x1496,x1497,x1498,x1499,x1500,x1501,x1502,x1503,x1504,x1505
          ,x1506,x1507,x1508,x1509,x1510,x1511,x1512,x1513,x1514,x1515,x1516
          ,x1517,x1518,x1519,x1520,x1521,x1522,x1523,x1524,x1525,x1526,x1527
          ,x1528,x1529,x1530,x1531,x1532,x1533,x1534,x1535,x1536,x1537,x1538
          ,x1539,x1540,x1541,x1542,x1543,x1544,x1545,x1546,x1547,x1548,x1549
          ,x1550,x1551,x1552,x1553,x1554,x1555,x1556,x1557,x1558,x1559,x1560
          ,x1561,x1562,x1563,x1564,x1565,x1566,x1567,x1568,x1569,x1570,x1571
          ,x1572,x1573,x1574,x1575,x1576,x1577,x1578,x1579,x1580,x1581,x1582
          ,x1583,x1584,x1585,x1586,x1587,x1588,x1589,x1590,x1591,x1592,x1593
          ,x1594,x1595,x1596,x1597,x1598,x1599,x1600,x1601;

Positive Variables  x402,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412
          ,x413,x414,x415,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425
          ,x426,x427,x428,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438
          ,x439,x440,x441,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451
          ,x452,x453,x454,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464
          ,x465,x466,x467,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477
          ,x478,x479,x480,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490
          ,x491,x492,x493,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503
          ,x504,x505,x506,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516
          ,x517,x518,x519,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529
          ,x530,x531,x532,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542
          ,x543,x544,x545,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555
          ,x556,x557,x558,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568
          ,x569,x570,x571,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581
          ,x582,x583,x584,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594
          ,x595,x596,x597,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607
          ,x608,x609,x610,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620
          ,x621,x622,x623,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633
          ,x634,x635,x636,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646
          ,x647,x648,x649,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659
          ,x660,x661,x662,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672
          ,x673,x674,x675,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685
          ,x686,x687,x688,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698
          ,x699,x700,x701,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711
          ,x712,x713,x714,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724
          ,x725,x726,x727,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737
          ,x738,x739,x740,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750
          ,x751,x752,x753,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763
          ,x764,x765,x766,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776
          ,x777,x778,x779,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789
          ,x790,x791,x792,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802
          ,x803,x804,x805,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815
          ,x816,x817,x818,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828
          ,x829,x830,x831,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841
          ,x842,x843,x844,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854
          ,x855,x856,x857,x858,x859,x860,x861,x862,x863,x864,x865,x866,x867
          ,x868,x869,x870,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880
          ,x881,x882,x883,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893
          ,x894,x895,x896,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906
          ,x907,x908,x909,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919
          ,x920,x921,x922,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932
          ,x933,x934,x935,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945
          ,x946,x947,x948,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958
          ,x959,x960,x961,x962,x963,x964,x965,x966,x967,x968,x969,x970,x971
          ,x972,x973,x974,x975,x976,x977,x978,x979,x980,x981,x982,x983,x984
          ,x985,x986,x987,x988,x989,x990,x991,x992,x993,x994,x995,x996,x997
          ,x998,x999,x1000,x1001,x1002,x1003,x1004,x1005,x1006,x1007,x1008
          ,x1009,x1010,x1011,x1012,x1013,x1014,x1015,x1016,x1017,x1018,x1019
          ,x1020,x1021,x1022,x1023,x1024,x1025,x1026,x1027,x1028,x1029,x1030
          ,x1031,x1032,x1033,x1034,x1035,x1036,x1037,x1038,x1039,x1040,x1041
          ,x1042,x1043,x1044,x1045,x1046,x1047,x1048,x1049,x1050,x1051,x1052
          ,x1053,x1054,x1055,x1056,x1057,x1058,x1059,x1060,x1061,x1062,x1063
          ,x1064,x1065,x1066,x1067,x1068,x1069,x1070,x1071,x1072,x1073,x1074
          ,x1075,x1076,x1077,x1078,x1079,x1080,x1081,x1082,x1083,x1084,x1085
          ,x1086,x1087,x1088,x1089,x1090,x1091,x1092,x1093,x1094,x1095,x1096
          ,x1097,x1098,x1099,x1100,x1101,x1102,x1103,x1104,x1105,x1106,x1107
          ,x1108,x1109,x1110,x1111,x1112,x1113,x1114,x1115,x1116,x1117,x1118
          ,x1119,x1120,x1121,x1122,x1123,x1124,x1125,x1126,x1127,x1128,x1129
          ,x1130,x1131,x1132,x1133,x1134,x1135,x1136,x1137,x1138,x1139,x1140
          ,x1141,x1142,x1143,x1144,x1145,x1146,x1147,x1148,x1149,x1150,x1151
          ,x1152,x1153,x1154,x1155,x1156,x1157,x1158,x1159,x1160,x1161,x1162
          ,x1163,x1164,x1165,x1166,x1167,x1168,x1169,x1170,x1171,x1172,x1173
          ,x1174,x1175,x1176,x1177,x1178,x1179,x1180,x1181,x1182,x1183,x1184
          ,x1185,x1186,x1187,x1188,x1189,x1190,x1191,x1192,x1193,x1194,x1195
          ,x1196,x1197,x1198,x1199,x1200,x1201,x1202,x1203,x1204,x1205,x1206
          ,x1207,x1208,x1209,x1210,x1211,x1212,x1213,x1214,x1215,x1216,x1217
          ,x1218,x1219,x1220,x1221,x1222,x1223,x1224,x1225,x1226,x1227,x1228
          ,x1229,x1230,x1231,x1232,x1233,x1234,x1235,x1236,x1237,x1238,x1239
          ,x1240,x1241,x1242,x1243,x1244,x1245,x1246,x1247,x1248,x1249,x1250
          ,x1251,x1252,x1253,x1254,x1255,x1256,x1257,x1258,x1259,x1260,x1261
          ,x1262,x1263,x1264,x1265,x1266,x1267,x1268,x1269,x1270,x1271,x1272
          ,x1273,x1274,x1275,x1276,x1277,x1278,x1279,x1280,x1281,x1282,x1283
          ,x1284,x1285,x1286,x1287,x1288,x1289,x1290,x1291,x1292,x1293,x1294
          ,x1295,x1296,x1297,x1298,x1299,x1300,x1301,x1302,x1303,x1304,x1305
          ,x1306,x1307,x1308,x1309,x1310,x1311,x1312,x1313,x1314,x1315,x1316
          ,x1317,x1318,x1319,x1320,x1321,x1322,x1323,x1324,x1325,x1326,x1327
          ,x1328,x1329,x1330,x1331,x1332,x1333,x1334,x1335,x1336,x1337,x1338
          ,x1339,x1340,x1341,x1342,x1343,x1344,x1345,x1346,x1347,x1348,x1349
          ,x1350,x1351,x1352,x1353,x1354,x1355,x1356,x1357,x1358,x1359,x1360
          ,x1361,x1362,x1363,x1364,x1365,x1366,x1367,x1368,x1369,x1370,x1371
          ,x1372,x1373,x1374,x1375,x1376,x1377,x1378,x1379,x1380,x1381,x1382
          ,x1383,x1384,x1385,x1386,x1387,x1388,x1389,x1390,x1391,x1392,x1393
          ,x1394,x1395,x1396,x1397,x1398,x1399,x1400,x1401,x1402,x1403,x1404
          ,x1405,x1406,x1407,x1408,x1409,x1410,x1411,x1412,x1413,x1414,x1415
          ,x1416,x1417,x1418,x1419,x1420,x1421,x1422,x1423,x1424,x1425,x1426
          ,x1427,x1428,x1429,x1430,x1431,x1432,x1433,x1434,x1435,x1436,x1437
          ,x1438,x1439,x1440,x1441,x1442,x1443,x1444,x1445,x1446,x1447,x1448
          ,x1449,x1450,x1451,x1452,x1453,x1454,x1455,x1456,x1457,x1458,x1459
          ,x1460,x1461,x1462,x1463,x1464,x1465,x1466,x1467,x1468,x1469,x1470
          ,x1471,x1472,x1473,x1474,x1475,x1476,x1477,x1478,x1479,x1480,x1481
          ,x1482,x1483,x1484,x1485,x1486,x1487,x1488,x1489,x1490,x1491,x1492
          ,x1493,x1494,x1495,x1496,x1497,x1498,x1499,x1500,x1501,x1502,x1503
          ,x1504,x1505,x1506,x1507,x1508,x1509,x1510,x1511,x1512,x1513,x1514
          ,x1515,x1516,x1517,x1518,x1519,x1520,x1521,x1522,x1523,x1524,x1525
          ,x1526,x1527,x1528,x1529,x1530,x1531,x1532,x1533,x1534,x1535,x1536
          ,x1537,x1538,x1539,x1540,x1541,x1542,x1543,x1544,x1545,x1546,x1547
          ,x1548,x1549,x1550,x1551,x1552,x1553,x1554,x1555,x1556,x1557,x1558
          ,x1559,x1560,x1561,x1562,x1563,x1564,x1565,x1566,x1567,x1568,x1569
          ,x1570,x1571,x1572,x1573,x1574,x1575,x1576,x1577,x1578,x1579,x1580
          ,x1581,x1582,x1583,x1584,x1585,x1586,x1587,x1588,x1589,x1590,x1591
          ,x1592,x1593,x1594,x1595,x1596,x1597,x1598,x1599,x1600,x1601;

Binary Variables  b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69
          ,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86
          ,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102
          ,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115
          ,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128
          ,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141
          ,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154
          ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167
          ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
          ,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206
          ,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219
          ,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232
          ,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245
          ,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258
          ,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271
          ,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284
          ,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297
          ,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310
          ,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323
          ,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336
          ,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349
          ,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362
          ,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375
          ,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388
          ,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401;

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
          ,e1595,e1596,e1597,e1598,e1599,e1600,e1601,e1602,e1603,e1604;


e1.. 993.5086203*sqr(x402) + 149.3450305*x402 + 1220.072919*sqr(x403) + 
     260.2629537*x403 + 1252.374646*sqr(x404) + 243.5577134*x404 + 995.20179*
     sqr(x405) + 245.9598231*x405 + 1160.789955*sqr(x406) + 279.2979961*x406 + 
     932.7605533*sqr(x407) + 156.596804*x407 + 1610.434029*sqr(x408) + 
     371.536954*x408 + 1481.886086*sqr(x409) + 322.4119107*x409 + 1439.638371*
     sqr(x410) + 240.379874*x410 + 1772.80961*sqr(x411) + 364.0370576*x411 + 
     1154.136838*sqr(x412) + 276.2825161*x412 + 1402.080869*sqr(x413) + 
     288.2526282*x413 + 1601.50597*sqr(x414) + 366.5347175*x414 + 1118.374717*
     sqr(x415) + 238.2125397*x415 + 1560.299321*sqr(x416) + 271.3849518*x416 + 
     1206.059458*sqr(x417) + 219.0623926*x417 + 1664.915306*sqr(x418) + 
     371.639531*x418 + 1060.114226*sqr(x419) + 190.4873244*x419 + 1526.340777*
     sqr(x420) + 236.2712332*x420 + 1212.113573*sqr(x421) + 220.7233847*x421 + 
     1627.112425*sqr(x422) + 301.1525736*x422 + 1437.782286*sqr(x423) + 
     269.0421922*x423 + 1649.65399*sqr(x424) + 260.9434559*x424 + 997.8466057*
     sqr(x425) + 196.0383012*x425 + 1553.923378*sqr(x426) + 249.845457*x426 + 
     1341.092133*sqr(x427) + 298.108554*x427 + 1569.411453*sqr(x428) + 
     264.340585*x428 + 1100.845525*sqr(x429) + 254.9181967*x429 + 1644.357683*
     sqr(x430) + 368.7463883*x430 + 1148.019675*sqr(x431) + 260.1940443*x431 + 
     1399.683097*sqr(x432) + 286.8320462*x432 + 924.8736969*sqr(x433) + 
     207.6991821*x433 + 1448.361853*sqr(x434) + 275.1359158*x434 + 1145.242863*
     sqr(x435) + 285.627166*x435 + 1570.150472*sqr(x436) + 348.1274506*x436 + 
     1571.374418*sqr(x437) + 283.7490813*x437 + 1395.492717*sqr(x438) + 
     233.4497997*x438 + 1810.458108*sqr(x439) + 366.4767321*x439 + 930.932379*
     sqr(x440) + 231.0038134*x440 + 1658.85911*sqr(x441) + 305.6627731*x441 + 
     1097.243739*sqr(x442) + 173.1086335*x442 + 1812.20703*sqr(x443) + 
     430.4480629*x443 + 1578.073535*sqr(x444) + 378.5009374*x444 + 1499.745816*
     sqr(x445) + 354.8932211*x445 + 1627.188684*sqr(x446) + 326.2933452*x446 + 
     1084.37534*sqr(x447) + 177.6004463*x447 + 1483.327908*sqr(x448) + 
     249.6001804*x448 + 1037.158238*sqr(x449) + 180.2001453*x449 + 1140.743007*
     sqr(x450) + 220.6961274*x450 + 1333.213854*sqr(x451) + 230.7343356*x451 + 
     896.9521423*sqr(x452) + 184.6304767*x452 + 1816.78795*sqr(x453) + 
     415.2288118*x453 + 1180.897545*sqr(x454) + 248.2120284*x454 + 1502.785574*
     sqr(x455) + 321.6303463*x455 + 888.2881541*sqr(x456) + 155.4614417*x456 + 
     1365.415598*sqr(x457) + 301.719899*x457 + 1723.988211*sqr(x458) + 
     321.197416*x458 + 1437.278692*sqr(x459) + 278.0348939*x459 + 1230.626977*
     sqr(x460) + 249.2496619*x460 + 1019.142468*sqr(x461) + 163.633698*x461 + 
     1721.629948*sqr(x462) + 292.8343448*x462 + 1516.857185*sqr(x463) + 
     238.8521897*x463 + 1100.806787*sqr(x464) + 258.8332502*x464 + 1624.838261*
     sqr(x465) + 341.3051733*x465 + 1370.77346*sqr(x466) + 215.0309297*x466 + 
     1307.729543*sqr(x467) + 270.4992789*x467 + 1098.30776*sqr(x468) + 
     264.2843466*x468 + 1305.35127*sqr(x469) + 227.3357479*x469 + 898.1129843*
     sqr(x470) + 143.0411797*x470 + 875.3034715*sqr(x471) + 208.9971727*x471 + 
     1714.562682*sqr(x472) + 357.3450393*x472 + 1164.23784*sqr(x473) + 
     194.46891*x473 + 1115.569116*sqr(x474) + 252.4511267*x474 + 942.7504379*
     sqr(x475) + 186.9168667*x475 + 1398.089928*sqr(x476) + 214.8458214*x476 + 
     1346.388683*sqr(x477) + 238.0736978*x477 + 1377.615367*sqr(x478) + 
     292.1219058*x478 + 1144.852492*sqr(x479) + 196.8474944*x479 + 1406.008343*
     sqr(x480) + 282.0003095*x480 + 1649.139966*sqr(x481) + 256.4675849*x481 + 
     970.5058414*sqr(x482) + 189.2560343*x482 + 1296.031106*sqr(x483) + 
     202.7123031*x483 + 1585.633702*sqr(x484) + 371.1445236*x484 + 1681.200036*
     sqr(x485) + 260.9170676*x485 + 1640.654005*sqr(x486) + 361.6540218*x486 + 
     1086.934673*sqr(x487) + 172.9089374*x487 + 1461.838667*sqr(x488) + 
     330.6238468*x488 + 1485.689071*sqr(x489) + 232.8721347*x489 + 1422.485244*
     sqr(x490) + 288.0885112*x490 + 1435.347069*sqr(x491) + 256.5089226*x491 + 
     1181.170952*sqr(x492) + 197.6142942*x492 + 993.0725992*sqr(x493) + 
     221.0739491*x493 + 1365.427246*sqr(x494) + 254.2068064*x494 + 1765.896913*
     sqr(x495) + 269.1831185*x495 + 1510.820647*sqr(x496) + 275.9830881*x496 + 
     1355.034647*sqr(x497) + 261.578788*x497 + 1575.171005*sqr(x498) + 
     329.6529221*x498 + 1075.76838*sqr(x499) + 186.4302731*x499 + 1315.940586*
     sqr(x500) + 285.8208478*x500 + 1341.517719*sqr(x501) + 293.1877585*x501 + 
     1288.954156*sqr(x502) + 208.9017539*x502 + 968.2542766*sqr(x503) + 
     170.0414272*x503 + 1555.476241*sqr(x504) + 366.4464036*x504 + 1339.288249*
     sqr(x505) + 319.2445327*x505 + 1319.033618*sqr(x506) + 295.3106808*x506 + 
     1569.704629*sqr(x507) + 375.5607171*x507 + 952.7713524*sqr(x508) + 
     157.3908722*x508 + 1496.056336*sqr(x509) + 278.1663623*x509 + 1365.408792*
     sqr(x510) + 220.0998011*x510 + 923.0352427*sqr(x511) + 199.1547486*x511 + 
     1563.694637*sqr(x512) + 299.3678059*x512 + 898.2933409*sqr(x513) + 
     185.232237*x513 + 1271.542776*sqr(x514) + 282.4996504*x514 + 1583.937136*
     sqr(x515) + 278.0063737*x515 + 1699.208461*sqr(x516) + 359.2153195*x516 + 
     1761.03231*sqr(x517) + 339.1811978*x517 + 1171.183111*sqr(x518) + 
     216.1950616*x518 + 1377.524169*sqr(x519) + 258.3841644*x519 + 1054.438294*
     sqr(x520) + 210.1992794*x520 + 1498.857243*sqr(x521) + 355.4093593*x521 + 
     1469.283388*sqr(x522) + 317.7766994*x522 + 1698.521838*sqr(x523) + 
     367.9862168*x523 + 889.6456601*sqr(x524) + 186.5910068*x524 + 1266.735731*
     sqr(x525) + 193.1187771*x525 + 1238.567777*sqr(x526) + 271.3517205*x526 + 
     1056.557327*sqr(x527) + 256.117209*x527 + 1320.700048*sqr(x528) + 
     258.1915766*x528 + 1575.452028*sqr(x529) + 281.0067613*x529 + 1370.656589*
     sqr(x530) + 227.1273092*x530 + 1435.18863*sqr(x531) + 233.4978707*x531 + 
     925.654216*sqr(x532) + 228.5580218*x532 + 1209.015431*sqr(x533) + 
     214.9359584*x533 + 1195.059049*sqr(x534) + 225.0432665*x534 + 1122.946972*
     sqr(x535) + 261.0849464*x535 + 1196.555359*sqr(x536) + 198.8034611*x536 + 
     964.8101401*sqr(x537) + 156.4878824*x537 + 1144.252135*sqr(x538) + 
     253.7441585*x538 + 1484.769308*sqr(x539) + 269.2468489*x539 + 1068.684471*
     sqr(x540) + 211.736958*x540 + 954.1346036*sqr(x541) + 222.2680031*x541 + 
     1314.883989*sqr(x542) + 324.9077022*x542 + 1724.785523*sqr(x543) + 
     413.2200105*x543 + 959.9267851*sqr(x544) + 181.5769477*x544 + 1462.32058*
     sqr(x545) + 320.6440279*x545 + 1568.05626*sqr(x546) + 258.8761471*x546 + 
     936.9181885*sqr(x547) + 141.0611282*x547 + 1250.191565*sqr(x548) + 
     202.3738844*x548 + 1649.569762*sqr(x549) + 329.4011012*x549 + 1789.05229*
     sqr(x550) + 336.5745505*x550 + 1082.023183*sqr(x551) + 228.5465164*x551 + 
     1689.22688*sqr(x552) + 315.5633247*x552 + 937.2335269*sqr(x553) + 
     144.7183414*x553 + 1054.771595*sqr(x554) + 187.6146706*x554 + 1198.876625*
     sqr(x555) + 295.5778287*x555 + 1678.349244*sqr(x556) + 263.2725759*x556 + 
     1011.650767*sqr(x557) + 249.8346432*x557 + 982.859433*sqr(x558) + 
     234.8571708*x558 + 1093.57893*sqr(x559) + 221.2966541*x559 + 1461.931414*
     sqr(x560) + 256.3104937*x560 + 1305.599285*sqr(x561) + 201.9238549*x561 + 
     1025.048682*sqr(x562) + 220.4417623*x562 + 1755.957195*sqr(x563) + 
     302.4431172*x563 + 957.2983243*sqr(x564) + 174.6471896*x564 + 1405.751872*
     sqr(x565) + 215.5950196*x565 + 1467.925916*sqr(x566) + 227.1440965*x566 + 
     1532.772235*sqr(x567) + 304.3841335*x567 + 1476.801178*sqr(x568) + 
     244.5019498*x568 + 1156.319358*sqr(x569) + 261.898911*x569 + 1660.286744*
     sqr(x570) + 381.7385076*x570 + 973.0760775*sqr(x571) + 207.9370746*x571 + 
     1321.031865*sqr(x572) + 276.6848929*x572 + 1249.839596*sqr(x573) + 
     283.7424845*x573 + 1630.476453*sqr(x574) + 331.4238181*x574 + 1228.867131*
     sqr(x575) + 305.5002028*x575 + 1411.772668*sqr(x576) + 277.1222217*x576 + 
     1500.898564*sqr(x577) + 327.738822*x577 + 1544.022849*sqr(x578) + 
     384.7114815*x578 + 996.7726574*sqr(x579) + 207.4962702*x579 + 1322.826774*
     sqr(x580) + 222.3021505*x580 + 1671.082868*sqr(x581) + 312.9801851*x581 + 
     1088.277874*sqr(x582) + 184.3429102*x582 + 1571.238827*sqr(x583) + 
     321.8842688*x583 + 1317.209789*sqr(x584) + 252.5116983*x584 + 1402.254331*
     sqr(x585) + 276.6113255*x585 + 940.4480881*sqr(x586) + 189.4117183*x586 + 
     1116.169758*sqr(x587) + 221.6333419*x587 + 988.741459*sqr(x588) + 
     192.0326543*x588 + 1722.516022*sqr(x589) + 327.8960486*x589 + 1113.53966*
     sqr(x590) + 168.0620644*x590 + 1255.38646*sqr(x591) + 275.6106568*x591 + 
     1290.303371*sqr(x592) + 251.6332603*x592 + 1037.285105*sqr(x593) + 
     224.0337705*x593 + 1713.206013*sqr(x594) + 414.2203205*x594 + 1551.635658*
     sqr(x595) + 352.9292125*x595 + 967.0824317*sqr(x596) + 212.1268622*x596 + 
     1112.796743*sqr(x597) + 274.3254514*x597 + 1608.868243*sqr(x598) + 
     283.2256482*x598 + 1270.431795*sqr(x599) + 298.4359895*x599 + 1530.159725*
     sqr(x600) + 341.2447456*x600 + 1596.806035*sqr(x601) + 249.0435219*x601 + 
     1499.307401*sqr(x602) + 297.7617901*x602 + 1236.374389*sqr(x603) + 
     225.5870659*x603 + 1482.890408*sqr(x604) + 345.4936833*x604 + 934.4682276*
     sqr(x605) + 141.9154844*x605 + 1207.613183*sqr(x606) + 218.6524475*x606 + 
     985.5041835*sqr(x607) + 176.6816434*x607 + 1664.853878*sqr(x608) + 
     366.6497373*x608 + 1100.894768*sqr(x609) + 198.4070421*x609 + 1663.431818*
     sqr(x610) + 394.9795231*x610 + 1715.597097*sqr(x611) + 408.7928538*x611 + 
     1442.598562*sqr(x612) + 313.7872302*x612 + 1287.423578*sqr(x613) + 
     201.9170936*x613 + 1312.146344*sqr(x614) + 253.4284698*x614 + 902.707861*
     sqr(x615) + 143.7266542*x615 + 1262.27674*sqr(x616) + 257.6306826*x616 + 
     966.7590083*sqr(x617) + 236.4172611*x617 + 1071.328299*sqr(x618) + 
     222.6040437*x618 + 1555.584796*sqr(x619) + 386.2816966*x619 + 1245.632911*
     sqr(x620) + 230.3237534*x620 + 1285.699457*sqr(x621) + 268.3373051*x621 + 
     1757.115834*sqr(x622) + 382.8083481*x622 + 1524.027945*sqr(x623) + 
     350.4101136*x623 + 1365.289767*sqr(x624) + 238.5026332*x624 + 1128.589286*
     sqr(x625) + 236.6003472*x625 + 1138.028093*sqr(x626) + 236.004175*x626 + 
     1267.385734*sqr(x627) + 309.2894687*x627 + 1507.721988*sqr(x628) + 
     310.8342267*x628 + 921.8557854*sqr(x629) + 215.1797802*x629 + 1610.54252*
     sqr(x630) + 368.7280087*x630 + 1245.726306*sqr(x631) + 223.2017651*x631 + 
     1711.794597*sqr(x632) + 409.7757927*x632 + 1288.791951*sqr(x633) + 
     228.8198815*x633 + 1635.423872*sqr(x634) + 346.108908*x634 + 1612.086337*
     sqr(x635) + 358.4803159*x635 + 1474.524422*sqr(x636) + 264.5498232*x636 + 
     1479.839016*sqr(x637) + 359.1483461*x637 + 1416.441664*sqr(x638) + 
     214.8046248*x638 + 1611.93177*sqr(x639) + 402.4075472*x639 + 1432.566523*
     sqr(x640) + 247.7160224*x640 + 1188.348616*sqr(x641) + 284.1334887*x641 + 
     1294.87707*sqr(x642) + 308.0813738*x642 + 893.7690937*sqr(x643) + 
     214.891513*x643 + 1058.72028*sqr(x644) + 260.3791036*x644 + 1524.410245*
     sqr(x645) + 276.0152983*x645 + 1156.066989*sqr(x646) + 288.6123089*x646 + 
     1546.348104*sqr(x647) + 309.3277326*x647 + 1686.362569*sqr(x648) + 
     296.1419284*x648 + 1134.75267*sqr(x649) + 235.3855818*x649 + 1335.922325*
     sqr(x650) + 264.9893309*x650 + 1404.396424*sqr(x651) + 295.6463727*x651 + 
     1182.401054*sqr(x652) + 196.4471617*x652 + 900.2530664*sqr(x653) + 
     149.6388043*x653 + 1488.190305*sqr(x654) + 283.4088188*x654 + 1456.373688*
     sqr(x655) + 277.9237232*x655 + 1425.382564*sqr(x656) + 321.9385878*x656 + 
     1319.988032*sqr(x657) + 327.1174278*x657 + 1790.450222*sqr(x658) + 
     331.0006399*x658 + 1834.821277*sqr(x659) + 333.9790861*x659 + 1539.712822*
     sqr(x660) + 356.0411914*x660 + 1619.482382*sqr(x661) + 265.2979681*x661 + 
     1190.813326*sqr(x662) + 251.495821*x662 + 915.4490657*sqr(x663) + 
     201.9686249*x663 + 1296.895013*sqr(x664) + 248.1770979*x664 + 1015.31644*
     sqr(x665) + 175.4763483*x665 + 1269.586645*sqr(x666) + 245.0211576*x666 + 
     1325.794576*sqr(x667) + 292.703862*x667 + 1542.481085*sqr(x668) + 
     255.3167445*x668 + 1288.783936*sqr(x669) + 250.8537253*x669 + 928.234811*
     sqr(x670) + 204.6007744*x670 + 1668.741841*sqr(x671) + 314.4594814*x671 + 
     1174.888104*sqr(x672) + 215.8776765*x672 + 1814.17225*sqr(x673) + 
     377.9691457*x673 + 935.3633233*sqr(x674) + 167.3121604*x674 + 1165.298129*
     sqr(x675) + 209.3816535*x675 + 1202.55759*sqr(x676) + 287.8996707*x676 + 
     959.9134012*sqr(x677) + 171.3677144*x677 + 1779.981165*sqr(x678) + 
     408.8942827*x678 + 1089.532618*sqr(x679) + 179.7903362*x679 + 1367.232232*
     sqr(x680) + 322.6087541*x680 + 1750.772443*sqr(x681) + 311.7691179*x681 + 
     1737.910218*sqr(x682) + 391.9524902*x682 + 1167.009711*sqr(x683) + 
     177.5023171*x683 + 994.3592428*sqr(x684) + 193.197816*x684 + 1028.007729*
     sqr(x685) + 170.6179083*x685 + 1424.754041*sqr(x686) + 274.8818149*x686 + 
     904.4298754*sqr(x687) + 153.8932293*x687 + 1435.658132*sqr(x688) + 
     235.1435167*x688 + 1063.776301*sqr(x689) + 242.331305*x689 + 1466.570724*
     sqr(x690) + 296.5078079*x690 + 977.5810033*sqr(x691) + 239.5334081*x691 + 
     1433.460447*sqr(x692) + 346.3518531*x692 + 944.9419887*sqr(x693) + 
     154.3792359*x693 + 1813.2479*sqr(x694) + 391.0253141*x694 + 1366.46221*
     sqr(x695) + 250.0378788*x695 + 1489.260401*sqr(x696) + 277.3055289*x696 + 
     1722.828418*sqr(x697) + 273.3129115*x697 + 1161.590125*sqr(x698) + 
     178.6038673*x698 + 1701.131315*sqr(x699) + 343.1640147*x699 + 1600.198927*
     sqr(x700) + 325.2975909*x700 + 1049.306841*sqr(x701) + 235.2307745*x701 + 
     1293.674146*sqr(x702) + 310.6991583*x702 + 1789.416202*sqr(x703) + 
     424.143354*x703 + 1420.398696*sqr(x704) + 259.2508576*x704 + 1778.268696*
     sqr(x705) + 300.602097*x705 + 1333.849351*sqr(x706) + 222.3655718*x706 + 
     1648.924649*sqr(x707) + 283.4928543*x707 + 1413.603195*sqr(x708) + 
     279.2801267*x708 + 1297.534998*sqr(x709) + 319.7489286*x709 + 1577.896939*
     sqr(x710) + 294.975115*x710 + 935.6440397*sqr(x711) + 171.7128373*x711 + 
     1756.099665*sqr(x712) + 306.4449409*x712 + 1594.338461*sqr(x713) + 
     259.0367296*x713 + 1769.37834*sqr(x714) + 328.438731*x714 + 1572.152944*
     sqr(x715) + 343.9822533*x715 + 1090.313861*sqr(x716) + 194.5581567*x716 + 
     1441.151473*sqr(x717) + 329.3847097*x717 + 1289.34485*sqr(x718) + 
     308.0914016*x718 + 1028.366479*sqr(x719) + 197.6831968*x719 + 1494.330008*
     sqr(x720) + 308.3691933*x720 + 1285.791319*sqr(x721) + 245.7527034*x721 + 
     1527.8059*sqr(x722) + 286.0923189*x722 + 1167.67468*sqr(x723) + 
     231.1749488*x723 + 1769.487639*sqr(x724) + 361.867017*x724 + 1445.938884*
     sqr(x725) + 221.0928756*x725 + 896.2522105*sqr(x726) + 206.9991455*x726 + 
     1566.350793*sqr(x727) + 377.0321641*x727 + 1651.165725*sqr(x728) + 
     266.7426527*x728 + 1558.23002*sqr(x729) + 365.7460362*x729 + 960.5392208*
     sqr(x730) + 184.8406926*x730 + 1796.441707*sqr(x731) + 385.9363984*x731 + 
     988.7744113*sqr(x732) + 206.5512172*x732 + 1454.188449*sqr(x733) + 
     265.5381845*x733 + 1423.286877*sqr(x734) + 287.3085319*x734 + 1122.543467*
     sqr(x735) + 270.9999087*x735 + 1347.845971*sqr(x736) + 271.7854842*x736 + 
     1733.331859*sqr(x737) + 378.8584352*x737 + 1242.654843*sqr(x738) + 
     202.9775782*x738 + 1274.879236*sqr(x739) + 317.7132408*x739 + 1362.128939*
     sqr(x740) + 292.8581851*x740 + 1781.499679*sqr(x741) + 356.805561*x741 + 
     1721.02999*sqr(x742) + 314.4909007*x742 + 1022.017848*sqr(x743) + 
     244.7768721*x743 + 1311.751104*sqr(x744) + 279.0837836*x744 + 1047.148885*
     sqr(x745) + 228.6532525*x745 + 1559.673094*sqr(x746) + 324.8806229*x746 + 
     1030.093079*sqr(x747) + 248.4574205*x747 + 1532.757936*sqr(x748) + 
     301.8223238*x748 + 1738.029135*sqr(x749) + 342.8303486*x749 + 1120.976924*
     sqr(x750) + 205.6200349*x750 + 1803.168839*sqr(x751) + 276.3790088*x751 + 
     1092.312975*sqr(x752) + 260.3876424*x752 + 1394.911627*sqr(x753) + 
     307.8378578*x753 + 1018.254385*sqr(x754) + 204.926709*x754 + 1325.088445*
     sqr(x755) + 255.5906387*x755 + 1421.322635*sqr(x756) + 317.7969107*x756 + 
     1433.713672*sqr(x757) + 261.242359*x757 + 1770.158667*sqr(x758) + 
     324.9888818*x758 + 956.8677154*sqr(x759) + 224.9983148*x759 + 1563.147252*
     sqr(x760) + 260.9403287*x760 + 1215.107211*sqr(x761) + 274.6475236*x761 + 
     1159.255451*sqr(x762) + 231.8212509*x762 + 1673.150022*sqr(x763) + 
     377.8455621*x763 + 1562.882912*sqr(x764) + 247.9196475*x764 + 1202.506976*
     sqr(x765) + 182.5850036*x765 + 1540.71436*sqr(x766) + 334.7122446*x766 + 
     1054.989536*sqr(x767) + 221.8368909*x767 + 1535.087301*sqr(x768) + 
     338.3475482*x768 + 1023.646396*sqr(x769) + 236.0392444*x769 + 1436.238992*
     sqr(x770) + 300.8697785*x770 + 1045.121109*sqr(x771) + 193.7755495*x771 + 
     1403.228288*sqr(x772) + 253.8026301*x772 + 1720.805299*sqr(x773) + 
     416.8110505*x773 + 1209.013603*sqr(x774) + 211.472414*x774 + 1311.495564*
     sqr(x775) + 319.515992*x775 + 1363.287914*sqr(x776) + 287.0764519*x776 + 
     893.3308785*sqr(x777) + 208.336928*x777 + 1284.614062*sqr(x778) + 
     301.6610387*x778 + 1627.575515*sqr(x779) + 256.3286256*x779 + 1728.469778*
     sqr(x780) + 311.9299924*x780 + 1236.241208*sqr(x781) + 208.0043825*x781 + 
     935.640015*sqr(x782) + 150.418298*x782 + 1242.137829*sqr(x783) + 
     209.7323391*x783 + 1683.033537*sqr(x784) + 402.1470627*x784 + 1466.778704*
     sqr(x785) + 310.9836047*x785 + 1820.289306*sqr(x786) + 385.4164079*x786 + 
     969.6242551*sqr(x787) + 206.078296*x787 + 1208.602349*sqr(x788) + 
     295.1791756*x788 + 1290.261063*sqr(x789) + 316.5354886*x789 + 1596.43847*
     sqr(x790) + 315.5753678*x790 + 1647.34692*sqr(x791) + 265.4938756*x791 + 
     1549.903298*sqr(x792) + 343.0774186*x792 + 840.0742971*sqr(x793) + 
     208.0434588*x793 + 1526.822167*sqr(x794) + 361.846746*x794 + 1175.952172*
     sqr(x795) + 270.4499492*x795 + 962.2944098*sqr(x796) + 240.0788292*x796 + 
     1429.147693*sqr(x797) + 291.8865523*x797 + 1668.872871*sqr(x798) + 
     317.5161142*x798 + 1599.412414*sqr(x799) + 351.7030168*x799 + 1294.939792*
     sqr(x800) + 239.3371434*x800 + 1588.908064*sqr(x801) + 396.8175544*x801 + 
     106.4913797*sqr(x1202) + 14*x1202*x1203 + 10*x1202*x1204 + 20*x1202*x1205
      + 18*x1202*x1206 + 16*x1202*x1207 + 16*x1202*x1208 + 16*x1202*x1209 + 6*
     x1202*x1210 + 6*x1202*x1211 + 6*x1202*x1212 + 8*x1202*x1213 + 8*x1202*
     x1214 + 12*x1202*x1215 + 6*x1202*x1216 + 4*x1202*x1217 + 12*x1202*x1218 + 
     6*x1202*x1219 + 14*x1202*x1220 + 12*x1202*x1221 + 18*x1202*x1222 + 20*
     x1202*x1223 + 12*x1202*x1224 + 12*x1202*x1225 + 2*x1202*x1226 + 20*x1202*
     x1227 + 6*x1202*x1228 + 2*x1202*x1229 + 2*x1202*x1230 + 18*x1202*x1231 + 
     20*x1202*x1232 + 4*x1202*x1233 + 18*x1202*x1234 + 20*x1202*x1235 + 4*x1202
     *x1236 + 16*x1202*x1237 + 14*x1202*x1238 + 14*x1202*x1239 + 4*x1202*x1240
      + 14*x1202*x1241 + 14*x1202*x1242 + 2*x1202*x1243 + 12*x1202*x1244 + 4*
     x1202*x1245 + 16*x1202*x1246 + 18*x1202*x1247 + 14*x1202*x1248 + 14*x1202*
     x1249 + 6*x1202*x1250 + 4*x1202*x1251 + 16*x1202*x1252 + 4*x1202*x1253 + 
     20*x1202*x1254 + 2*x1202*x1255 + 12*x1202*x1256 + 14*x1202*x1257 + 20*
     x1202*x1258 + 10*x1202*x1259 + 18*x1202*x1260 + 16*x1202*x1261 + 18*x1202*
     x1262 + 8*x1202*x1263 + 4*x1202*x1264 + 8*x1202*x1265 + 12*x1202*x1266 + 4
     *x1202*x1267 + 10*x1202*x1268 + 18*x1202*x1269 + 12*x1202*x1270 + 8*x1202*
     x1271 + 10*x1202*x1272 + 14*x1202*x1273 + 8*x1202*x1274 + 18*x1202*x1275
      + 2*x1202*x1276 + 20*x1202*x1277 + 2*x1202*x1278 + 18*x1202*x1279 + 18*
     x1202*x1280 + 10*x1202*x1281 + 18*x1202*x1282 + 16*x1202*x1283 + 20*x1202*
     x1284 + 20*x1202*x1285 + 20*x1202*x1286 + 14*x1202*x1287 + 8*x1202*x1288
      + 14*x1202*x1289 + 14*x1202*x1290 + 14*x1202*x1291 + 20*x1202*x1292 + 4*
     x1202*x1293 + 14*x1202*x1294 + 16*x1202*x1295 + 8*x1202*x1296 + 12*x1202*
     x1297 + 4*x1202*x1298 + 12*x1202*x1299 + 16*x1202*x1300 + 12*x1202*x1301
      + 2*x1202*x1302 + 14*x1202*x1303 + 14*x1202*x1304 + 12*x1202*x1305 + 6*
     x1202*x1306 + 12*x1202*x1307 + 10*x1202*x1308 + 18*x1202*x1309 + 12*x1202*
     x1310 + 14*x1202*x1311 + 20*x1202*x1312 + 20*x1202*x1313 + 4*x1202*x1314
      + 14*x1202*x1315 + 16*x1202*x1316 + 14*x1202*x1317 + 8*x1202*x1318 + 4*
     x1202*x1319 + 10*x1202*x1320 + 6*x1202*x1321 + 6*x1202*x1322 + 8*x1202*
     x1323 + 10*x1202*x1324 + 20*x1202*x1325 + 10*x1202*x1326 + 2*x1202*x1327
      + 16*x1202*x1328 + 6*x1202*x1329 + 10*x1202*x1330 + 10*x1202*x1331 + 20*
     x1202*x1332 + 16*x1202*x1333 + 18*x1202*x1334 + 2*x1202*x1335 + 4*x1202*
     x1336 + 18*x1202*x1337 + 2*x1202*x1338 + 14*x1202*x1339 + 2*x1202*x1340 + 
     6*x1202*x1341 + 6*x1202*x1342 + 18*x1202*x1343 + 4*x1202*x1344 + 14*x1202*
     x1345 + 12*x1202*x1346 + 16*x1202*x1347 + 2*x1202*x1348 + 12*x1202*x1349
      + 2*x1202*x1350 + 12*x1202*x1351 + 2*x1202*x1352 + 16*x1202*x1353 + 10*
     x1202*x1354 + 6*x1202*x1355 + 10*x1202*x1356 + 12*x1202*x1357 + 8*x1202*
     x1358 + 14*x1202*x1359 + 16*x1202*x1360 + 14*x1202*x1361 + 10*x1202*x1362
      + 8*x1202*x1363 + 8*x1202*x1364 + 16*x1202*x1365 + 6*x1202*x1366 + 20*
     x1202*x1367 + 12*x1202*x1368 + 2*x1202*x1369 + 6*x1202*x1370 + 16*x1202*
     x1371 + 18*x1202*x1372 + 10*x1202*x1373 + 18*x1202*x1374 + 10*x1202*x1375
      + 10*x1202*x1376 + 8*x1202*x1377 + 4*x1202*x1378 + 10*x1202*x1379 + 4*
     x1202*x1380 + 12*x1202*x1381 + 6*x1202*x1382 + 8*x1202*x1383 + 10*x1202*
     x1384 + 2*x1202*x1385 + 12*x1202*x1386 + 14*x1202*x1387 + 8*x1202*x1388 + 
     16*x1202*x1389 + 2*x1202*x1390 + 8*x1202*x1391 + 4*x1202*x1392 + 10*x1202*
     x1393 + 2*x1202*x1394 + 16*x1202*x1395 + 16*x1202*x1396 + 10*x1202*x1397
      + 2*x1202*x1398 + 2*x1202*x1399 + 20*x1202*x1400 + 12*x1202*x1401 + 6*
     x1202*x1402 + 10*x1202*x1403 + 16*x1202*x1404 + 2*x1202*x1405 + 2*x1202*
     x1406 + 12*x1202*x1407 + 18*x1202*x1408 + 20*x1202*x1409 + 6*x1202*x1410
      + 10*x1202*x1411 + 16*x1202*x1412 + 8*x1202*x1413 + 20*x1202*x1414 + 4*
     x1202*x1415 + 8*x1202*x1416 + 2*x1202*x1417 + 16*x1202*x1418 + 8*x1202*
     x1419 + 20*x1202*x1420 + 4*x1202*x1421 + 18*x1202*x1422 + 10*x1202*x1423
      + 10*x1202*x1424 + 2*x1202*x1425 + 6*x1202*x1426 + 6*x1202*x1427 + 14*
     x1202*x1428 + 2*x1202*x1429 + 18*x1202*x1430 + 2*x1202*x1431 + 18*x1202*
     x1432 + 10*x1202*x1433 + 4*x1202*x1434 + 8*x1202*x1435 + 6*x1202*x1436 + 
     10*x1202*x1437 + 6*x1202*x1438 + 20*x1202*x1439 + 10*x1202*x1440 + 2*x1202
     *x1441 + 2*x1202*x1442 + 2*x1202*x1443 + 20*x1202*x1444 + 2*x1202*x1445 + 
     14*x1202*x1446 + 16*x1202*x1447 + 2*x1202*x1448 + 4*x1202*x1449 + 18*x1202
     *x1450 + 2*x1202*x1451 + 16*x1202*x1452 + 18*x1202*x1453 + 4*x1202*x1454
      + 6*x1202*x1455 + 10*x1202*x1456 + 10*x1202*x1457 + 8*x1202*x1458 + 14*
     x1202*x1459 + 18*x1202*x1460 + 10*x1202*x1461 + 12*x1202*x1462 + 10*x1202*
     x1463 + 20*x1202*x1464 + 8*x1202*x1465 + 10*x1202*x1466 + 10*x1202*x1467
      + 6*x1202*x1468 + 6*x1202*x1469 + 14*x1202*x1470 + 4*x1202*x1471 + 8*
     x1202*x1472 + 14*x1202*x1473 + 6*x1202*x1474 + 16*x1202*x1475 + 10*x1202*
     x1476 + 12*x1202*x1477 + 2*x1202*x1478 + 12*x1202*x1479 + 2*x1202*x1480 + 
     18*x1202*x1481 + 14*x1202*x1482 + 10*x1202*x1483 + 6*x1202*x1484 + 8*x1202
     *x1485 + 20*x1202*x1486 + 12*x1202*x1487 + 10*x1202*x1488 + 2*x1202*x1489
      + 8*x1202*x1490 + 2*x1202*x1491 + 10*x1202*x1492 + 20*x1202*x1493 + 16*
     x1202*x1494 + 12*x1202*x1495 + 4*x1202*x1496 + 10*x1202*x1497 + 8*x1202*
     x1498 + 12*x1202*x1499 + 18*x1202*x1500 + 18*x1202*x1501 + 10*x1202*x1502
      + 12*x1202*x1503 + 6*x1202*x1504 + 20*x1202*x1505 + 10*x1202*x1506 + 4*
     x1202*x1507 + 8*x1202*x1508 + 20*x1202*x1509 + 12*x1202*x1510 + 14*x1202*
     x1511 + 16*x1202*x1512 + 8*x1202*x1513 + 10*x1202*x1514 + 12*x1202*x1515
      + 18*x1202*x1516 + 20*x1202*x1517 + 8*x1202*x1518 + 16*x1202*x1519 + 8*
     x1202*x1520 + 6*x1202*x1521 + 20*x1202*x1522 + 2*x1202*x1523 + 2*x1202*
     x1524 + 4*x1202*x1525 + 16*x1202*x1526 + 18*x1202*x1527 + 16*x1202*x1528
      + 18*x1202*x1529 + 8*x1202*x1530 + 10*x1202*x1531 + 12*x1202*x1532 + 18*
     x1202*x1533 + 18*x1202*x1534 + 8*x1202*x1535 + 8*x1202*x1536 + 8*x1202*
     x1537 + 2*x1202*x1538 + 16*x1202*x1539 + 20*x1202*x1540 + 2*x1202*x1541 + 
     6*x1202*x1542 + 14*x1202*x1543 + 12*x1202*x1544 + 8*x1202*x1545 + 12*x1202
     *x1546 + 12*x1202*x1547 + 18*x1202*x1548 + 12*x1202*x1549 + 8*x1202*x1550
      + 4*x1202*x1551 + 2*x1202*x1552 + 14*x1202*x1553 + 18*x1202*x1554 + 12*
     x1202*x1555 + 6*x1202*x1556 + 8*x1202*x1557 + 8*x1202*x1558 + 8*x1202*
     x1559 + 10*x1202*x1560 + 14*x1202*x1561 + 14*x1202*x1562 + 18*x1202*x1563
      + 8*x1202*x1564 + 4*x1202*x1565 + 12*x1202*x1566 + 12*x1202*x1567 + 18*
     x1202*x1568 + 10*x1202*x1569 + 8*x1202*x1570 + 20*x1202*x1571 + 12*x1202*
     x1572 + 6*x1202*x1573 + 20*x1202*x1574 + 14*x1202*x1575 + 14*x1202*x1576
      + 8*x1202*x1577 + 6*x1202*x1578 + 18*x1202*x1579 + 8*x1202*x1580 + 18*
     x1202*x1581 + 6*x1202*x1582 + 18*x1202*x1583 + 8*x1202*x1584 + 18*x1202*
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     *x1384 + 4*x1232*x1385 + 18*x1232*x1386 + 16*x1232*x1387 + 4*x1232*x1388
      + 8*x1232*x1389 + 20*x1232*x1390 + 2*x1232*x1391 + 2*x1232*x1392 + 8*
     x1232*x1393 + 14*x1232*x1394 + 12*x1232*x1395 + 2*x1232*x1396 + 8*x1232*
     x1397 + 18*x1232*x1398 + 12*x1232*x1399 + 4*x1232*x1400 + 8*x1232*x1401 + 
     6*x1232*x1402 + 14*x1232*x1403 + 14*x1232*x1404 + 18*x1232*x1405 + 10*
     x1232*x1406 + 6*x1232*x1407 + 18*x1232*x1408 + 4*x1232*x1409 + 6*x1232*
     x1410 + 18*x1232*x1411 + 6*x1232*x1412 + 18*x1232*x1413 + 2*x1232*x1414 + 
     6*x1232*x1415 + 20*x1232*x1416 + 14*x1232*x1417 + 6*x1232*x1418 + 8*x1232*
     x1419 + 14*x1232*x1420 + 6*x1232*x1421 + 6*x1232*x1422 + 18*x1232*x1423 + 
     18*x1232*x1424 + 16*x1232*x1425 + 16*x1232*x1426 + 4*x1232*x1427 + 12*
     x1232*x1428 + 14*x1232*x1429 + 2*x1232*x1430 + 2*x1232*x1431 + 20*x1232*
     x1432 + 10*x1232*x1433 + 16*x1232*x1434 + 12*x1232*x1435 + 16*x1232*x1436
      + 14*x1232*x1437 + 14*x1232*x1438 + 2*x1232*x1439 + 18*x1232*x1440 + 2*
     x1232*x1441 + 12*x1232*x1442 + 4*x1232*x1443 + 10*x1232*x1444 + 2*x1232*
     x1445 + 14*x1232*x1446 + 2*x1232*x1447 + 14*x1232*x1448 + 4*x1232*x1449 + 
     16*x1232*x1450 + 2*x1232*x1451 + 16*x1232*x1452 + 10*x1232*x1453 + 10*
     x1232*x1454 + 18*x1232*x1455 + 4*x1232*x1456 + 2*x1232*x1457 + 6*x1232*
     x1458 + 16*x1232*x1459 + 4*x1232*x1460 + 2*x1232*x1461 + 12*x1232*x1462 + 
     18*x1232*x1463 + 16*x1232*x1464 + 4*x1232*x1465 + 8*x1232*x1466 + 14*x1232
     *x1467 + 16*x1232*x1468 + 14*x1232*x1469 + 4*x1232*x1470 + 16*x1232*x1471
      + 14*x1232*x1472 + 16*x1232*x1473 + 10*x1232*x1474 + 4*x1232*x1475 + 18*
     x1232*x1476 + 12*x1232*x1477 + 14*x1232*x1478 + 8*x1232*x1479 + 2*x1232*
     x1480 + 16*x1232*x1481 + 14*x1232*x1482 + 18*x1232*x1483 + 18*x1232*x1484
      + 2*x1232*x1485 + 6*x1232*x1486 + 4*x1232*x1487 + 6*x1232*x1488 + 18*
     x1232*x1489 + 6*x1232*x1490 + 20*x1232*x1491 + 18*x1232*x1492 + 4*x1232*
     x1493 + 16*x1232*x1494 + 18*x1232*x1495 + 14*x1232*x1496 + 16*x1232*x1497
      + 8*x1232*x1498 + 10*x1232*x1499 + 14*x1232*x1500 + 8*x1232*x1501 + 6*
     x1232*x1502 + 10*x1232*x1503 + 2*x1232*x1504 + 18*x1232*x1505 + 12*x1232*
     x1506 + 4*x1232*x1507 + 4*x1232*x1508 + 16*x1232*x1509 + 14*x1232*x1510 + 
     20*x1232*x1511 + 10*x1232*x1512 + 12*x1232*x1513 + 8*x1232*x1514 + 6*x1232
     *x1515 + 12*x1232*x1516 + 14*x1232*x1517 + 10*x1232*x1518 + 18*x1232*x1519
      + 10*x1232*x1520 + 14*x1232*x1521 + 16*x1232*x1522 + 14*x1232*x1523 + 8*
     x1232*x1524 + 4*x1232*x1525 + 6*x1232*x1526 + 8*x1232*x1527 + 18*x1232*
     x1528 + 12*x1232*x1529 + 10*x1232*x1530 + 12*x1232*x1531 + 20*x1232*x1532
      + 14*x1232*x1533 + 4*x1232*x1534 + 12*x1232*x1535 + 14*x1232*x1536 + 8*
     x1232*x1537 + 14*x1232*x1538 + 18*x1232*x1539 + 6*x1232*x1540 + 6*x1232*
     x1541 + 18*x1232*x1542 + 2*x1232*x1543 + 8*x1232*x1544 + 18*x1232*x1545 + 
     20*x1232*x1546 + 10*x1232*x1547 + 4*x1232*x1548 + 20*x1232*x1549 + 2*x1232
     *x1550 + 8*x1232*x1551 + 18*x1232*x1552 + 10*x1232*x1553 + 4*x1232*x1554
      + 10*x1232*x1555 + 2*x1232*x1556 + 20*x1232*x1557 + 2*x1232*x1558 + 20*
     x1232*x1559 + 12*x1232*x1560 + 4*x1232*x1561 + 12*x1232*x1562 + 6*x1232*
     x1563 + 4*x1232*x1564 + 4*x1232*x1565 + 2*x1232*x1566 + 20*x1232*x1567 + 2
     *x1232*x1568 + 14*x1232*x1569 + 2*x1232*x1570 + 12*x1232*x1571 + 8*x1232*
     x1572 + 20*x1232*x1573 + 4*x1232*x1574 + 6*x1232*x1575 + 6*x1232*x1576 + 
     14*x1232*x1577 + 10*x1232*x1578 + 8*x1232*x1579 + 16*x1232*x1580 + 20*
     x1232*x1581 + 6*x1232*x1582 + 2*x1232*x1583 + 16*x1232*x1584 + 6*x1232*
     x1585 + 2*x1232*x1586 + 18*x1232*x1587 + 16*x1232*x1588 + 8*x1232*x1589 + 
     10*x1232*x1590 + 18*x1232*x1591 + 4*x1232*x1592 + 8*x1232*x1593 + 6*x1232*
     x1594 + 20*x1232*x1595 + 10*x1232*x1596 + 4*x1232*x1597 + 8*x1232*x1598 + 
     6*x1232*x1599 + 2*x1232*x1600 + 16*x1232*x1601 + 120.1263031*sqr(x1233) + 
     18*x1233*x1234 + 10*x1233*x1235 + 16*x1233*x1236 + 4*x1233*x1237 + 16*
     x1233*x1238 + 16*x1233*x1239 + 8*x1233*x1240 + 20*x1233*x1241 + 16*x1233*
     x1242 + 10*x1233*x1243 + 2*x1233*x1244 + 20*x1233*x1245 + 18*x1233*x1246
      + 8*x1233*x1247 + 16*x1233*x1248 + 16*x1233*x1249 + 4*x1233*x1250 + 8*
     x1233*x1251 + 18*x1233*x1252 + 8*x1233*x1253 + 18*x1233*x1254 + 16*x1233*
     x1255 + 6*x1233*x1256 + 20*x1233*x1257 + 12*x1233*x1258 + 18*x1233*x1259
      + 12*x1233*x1260 + 4*x1233*x1261 + 16*x1233*x1262 + 16*x1233*x1263 + 10*
     x1233*x1264 + 20*x1233*x1265 + 6*x1233*x1266 + 16*x1233*x1267 + 10*x1233*
     x1268 + 10*x1233*x1269 + 16*x1233*x1270 + 16*x1233*x1271 + 18*x1233*x1272
      + 2*x1233*x1273 + 10*x1233*x1274 + 16*x1233*x1275 + 14*x1233*x1276 + 2*
     x1233*x1277 + 10*x1233*x1278 + 10*x1233*x1279 + 12*x1233*x1280 + 4*x1233*
     x1281 + 10*x1233*x1282 + 14*x1233*x1283 + 18*x1233*x1284 + 10*x1233*x1285
      + 6*x1233*x1286 + 20*x1233*x1287 + 12*x1233*x1288 + 14*x1233*x1289 + 18*
     x1233*x1290 + 20*x1233*x1291 + 14*x1233*x1292 + 14*x1233*x1293 + 8*x1233*
     x1294 + 8*x1233*x1295 + 16*x1233*x1296 + 6*x1233*x1297 + 14*x1233*x1298 + 
     10*x1233*x1299 + 10*x1233*x1300 + 20*x1233*x1301 + 8*x1233*x1302 + 2*x1233
     *x1303 + 18*x1233*x1304 + 10*x1233*x1305 + 6*x1233*x1306 + 16*x1233*x1307
      + 14*x1233*x1308 + 10*x1233*x1309 + 10*x1233*x1310 + 12*x1233*x1311 + 20*
     x1233*x1312 + 10*x1233*x1313 + 6*x1233*x1314 + 2*x1233*x1315 + 16*x1233*
     x1316 + 10*x1233*x1317 + 18*x1233*x1318 + 8*x1233*x1319 + 10*x1233*x1320
      + 4*x1233*x1321 + 12*x1233*x1322 + 4*x1233*x1323 + 2*x1233*x1324 + 6*
     x1233*x1325 + 2*x1233*x1326 + 16*x1233*x1327 + 8*x1233*x1328 + 20*x1233*
     x1329 + 4*x1233*x1330 + 8*x1233*x1331 + 10*x1233*x1332 + 10*x1233*x1333 + 
     2*x1233*x1334 + 6*x1233*x1335 + 6*x1233*x1336 + 20*x1233*x1337 + 16*x1233*
     x1338 + 8*x1233*x1339 + 2*x1233*x1340 + 18*x1233*x1341 + 2*x1233*x1342 + 
     20*x1233*x1343 + 14*x1233*x1344 + 8*x1233*x1345 + 4*x1233*x1346 + 6*x1233*
     x1347 + 10*x1233*x1348 + 8*x1233*x1349 + 4*x1233*x1350 + 16*x1233*x1351 + 
     4*x1233*x1352 + 16*x1233*x1353 + 4*x1233*x1354 + 10*x1233*x1355 + 12*x1233
     *x1356 + 16*x1233*x1357 + 12*x1233*x1358 + 6*x1233*x1359 + 6*x1233*x1360
      + 20*x1233*x1361 + 18*x1233*x1362 + 16*x1233*x1363 + 14*x1233*x1364 + 6*
     x1233*x1365 + 6*x1233*x1366 + 16*x1233*x1367 + 16*x1233*x1368 + 20*x1233*
     x1369 + 4*x1233*x1370 + 12*x1233*x1371 + 18*x1233*x1372 + 6*x1233*x1373 + 
     18*x1233*x1374 + 14*x1233*x1375 + 8*x1233*x1376 + 12*x1233*x1377 + 16*
     x1233*x1378 + 8*x1233*x1379 + 20*x1233*x1380 + 4*x1233*x1381 + 18*x1233*
     x1382 + 14*x1233*x1383 + 2*x1233*x1384 + 4*x1233*x1385 + 20*x1233*x1386 + 
     4*x1233*x1387 + 12*x1233*x1388 + 10*x1233*x1389 + 6*x1233*x1390 + 12*x1233
     *x1391 + 4*x1233*x1392 + 10*x1233*x1393 + 20*x1233*x1394 + 18*x1233*x1395
      + 8*x1233*x1396 + 20*x1233*x1397 + 4*x1233*x1398 + 10*x1233*x1399 + 10*
     x1233*x1400 + 16*x1233*x1401 + 8*x1233*x1402 + 10*x1233*x1403 + 8*x1233*
     x1404 + 18*x1233*x1405 + 6*x1233*x1406 + 18*x1233*x1407 + 20*x1233*x1408
      + 2*x1233*x1409 + 8*x1233*x1410 + 2*x1233*x1411 + 6*x1233*x1412 + 6*x1233
     *x1413 + 4*x1233*x1414 + 2*x1233*x1415 + 18*x1233*x1416 + 14*x1233*x1417
      + 4*x1233*x1418 + 10*x1233*x1419 + 6*x1233*x1420 + 20*x1233*x1421 + 12*
     x1233*x1422 + 16*x1233*x1423 + 14*x1233*x1424 + 10*x1233*x1425 + 14*x1233*
     x1426 + 20*x1233*x1427 + 18*x1233*x1428 + 18*x1233*x1429 + 18*x1233*x1430
      + 14*x1233*x1431 + 2*x1233*x1432 + 18*x1233*x1433 + 4*x1233*x1434 + 4*
     x1233*x1435 + 6*x1233*x1436 + 10*x1233*x1437 + 14*x1233*x1438 + 10*x1233*
     x1439 + 10*x1233*x1440 + 10*x1233*x1441 + 18*x1233*x1442 + 12*x1233*x1443
      + 20*x1233*x1444 + 2*x1233*x1445 + 16*x1233*x1446 + 8*x1233*x1447 + 20*
     x1233*x1448 + 12*x1233*x1449 + 14*x1233*x1450 + 12*x1233*x1451 + 20*x1233*
     x1452 + 4*x1233*x1453 + 12*x1233*x1454 + 8*x1233*x1455 + 6*x1233*x1456 + 8
     *x1233*x1457 + 10*x1233*x1458 + 4*x1233*x1459 + 10*x1233*x1460 + 20*x1233*
     x1461 + 16*x1233*x1462 + 16*x1233*x1463 + 12*x1233*x1464 + 12*x1233*x1465
      + 6*x1233*x1466 + 12*x1233*x1467 + 4*x1233*x1468 + 20*x1233*x1469 + 16*
     x1233*x1470 + 12*x1233*x1471 + 10*x1233*x1472 + 8*x1233*x1473 + 12*x1233*
     x1474 + 20*x1233*x1475 + 14*x1233*x1476 + 16*x1233*x1477 + 4*x1233*x1478
      + 10*x1233*x1479 + 2*x1233*x1480 + 14*x1233*x1481 + 16*x1233*x1482 + 8*
     x1233*x1483 + 10*x1233*x1484 + 2*x1233*x1485 + 16*x1233*x1486 + 20*x1233*
     x1487 + 14*x1233*x1488 + 4*x1233*x1489 + 10*x1233*x1490 + 16*x1233*x1491
      + 2*x1233*x1492 + 16*x1233*x1493 + 8*x1233*x1494 + 16*x1233*x1495 + 20*
     x1233*x1496 + 6*x1233*x1497 + 8*x1233*x1498 + 20*x1233*x1499 + 2*x1233*
     x1500 + 16*x1233*x1501 + 12*x1233*x1502 + 16*x1233*x1503 + 18*x1233*x1504
      + 2*x1233*x1505 + 8*x1233*x1506 + 12*x1233*x1507 + 10*x1233*x1508 + 14*
     x1233*x1509 + 12*x1233*x1510 + 14*x1233*x1511 + 12*x1233*x1512 + 12*x1233*
     x1513 + 2*x1233*x1514 + 6*x1233*x1515 + 6*x1233*x1516 + 2*x1233*x1517 + 6*
     x1233*x1518 + 4*x1233*x1519 + 8*x1233*x1520 + 4*x1233*x1521 + 20*x1233*
     x1522 + 4*x1233*x1523 + 16*x1233*x1524 + 8*x1233*x1525 + 2*x1233*x1526 + 8
     *x1233*x1527 + 4*x1233*x1528 + 8*x1233*x1529 + 20*x1233*x1530 + 18*x1233*
     x1531 + 4*x1233*x1532 + 12*x1233*x1533 + 2*x1233*x1534 + 6*x1233*x1535 + 
     16*x1233*x1536 + 8*x1233*x1537 + 12*x1233*x1538 + 14*x1233*x1539 + 10*
     x1233*x1540 + 2*x1233*x1541 + 12*x1233*x1542 + 4*x1233*x1543 + 20*x1233*
     x1544 + 20*x1233*x1545 + 12*x1233*x1546 + 10*x1233*x1547 + 10*x1233*x1548
      + 6*x1233*x1549 + 20*x1233*x1550 + 18*x1233*x1551 + 8*x1233*x1552 + 14*
     x1233*x1553 + 20*x1233*x1554 + 20*x1233*x1555 + 12*x1233*x1556 + 20*x1233*
     x1557 + 6*x1233*x1558 + 18*x1233*x1559 + 10*x1233*x1560 + 4*x1233*x1561 + 
     12*x1233*x1562 + 16*x1233*x1563 + 20*x1233*x1564 + 12*x1233*x1565 + 14*
     x1233*x1566 + 14*x1233*x1567 + 14*x1233*x1568 + 2*x1233*x1569 + 12*x1233*
     x1570 + 14*x1233*x1571 + 6*x1233*x1572 + 12*x1233*x1573 + 20*x1233*x1574
      + 6*x1233*x1575 + 8*x1233*x1576 + 12*x1233*x1577 + 4*x1233*x1578 + 18*
     x1233*x1579 + 14*x1233*x1580 + 2*x1233*x1581 + 8*x1233*x1582 + 2*x1233*
     x1583 + 18*x1233*x1584 + 18*x1233*x1585 + 2*x1233*x1586 + 20*x1233*x1587
      + 14*x1233*x1588 + 6*x1233*x1589 + 4*x1233*x1590 + 20*x1233*x1591 + 18*
     x1233*x1592 + 4*x1233*x1593 + 4*x1233*x1594 + 16*x1233*x1595 + 2*x1233*
     x1596 + 12*x1233*x1597 + 16*x1233*x1598 + 16*x1233*x1599 + 6*x1233*x1600
      + 2*x1233*x1601 + 114.6381471*sqr(x1234) + 20*x1234*x1235 + 6*x1234*x1236
      + 20*x1234*x1237 + 20*x1234*x1238 + 20*x1234*x1239 + 20*x1234*x1240 + 20*
     x1234*x1241 + 6*x1234*x1242 + 18*x1234*x1243 + 2*x1234*x1244 + 16*x1234*
     x1245 + 14*x1234*x1246 + 4*x1234*x1247 + 8*x1234*x1248 + 4*x1234*x1249 + 
     18*x1234*x1250 + 4*x1234*x1251 + 8*x1234*x1252 + 6*x1234*x1253 + 6*x1234*
     x1254 + 8*x1234*x1255 + 14*x1234*x1256 + 14*x1234*x1257 + 10*x1234*x1258
      + 16*x1234*x1259 + 14*x1234*x1260 + 6*x1234*x1261 + 12*x1234*x1262 + 16*
     x1234*x1263 + 12*x1234*x1264 + 4*x1234*x1265 + 20*x1234*x1266 + 6*x1234*
     x1267 + 18*x1234*x1268 + 14*x1234*x1269 + 12*x1234*x1270 + 2*x1234*x1271
      + 10*x1234*x1272 + 14*x1234*x1273 + 12*x1234*x1274 + 8*x1234*x1275 + 12*
     x1234*x1276 + 12*x1234*x1277 + 18*x1234*x1278 + 12*x1234*x1279 + 10*x1234*
     x1280 + 8*x1234*x1281 + 10*x1234*x1282 + 12*x1234*x1283 + 10*x1234*x1284
      + 10*x1234*x1285 + 4*x1234*x1286 + 2*x1234*x1287 + 2*x1234*x1288 + 8*
     x1234*x1289 + 4*x1234*x1290 + 16*x1234*x1291 + 18*x1234*x1292 + 12*x1234*
     x1293 + 8*x1234*x1294 + 18*x1234*x1295 + 20*x1234*x1296 + 12*x1234*x1297
      + 2*x1234*x1298 + 6*x1234*x1299 + 4*x1234*x1300 + 2*x1234*x1301 + 2*x1234
     *x1302 + 2*x1234*x1303 + 16*x1234*x1304 + 12*x1234*x1305 + 20*x1234*x1306
      + 4*x1234*x1307 + 4*x1234*x1308 + 10*x1234*x1309 + 12*x1234*x1310 + 18*
     x1234*x1311 + 8*x1234*x1312 + 14*x1234*x1313 + 6*x1234*x1314 + 16*x1234*
     x1315 + 16*x1234*x1316 + 18*x1234*x1317 + 16*x1234*x1318 + 14*x1234*x1319
      + 4*x1234*x1320 + 6*x1234*x1321 + 2*x1234*x1322 + 12*x1234*x1323 + 2*
     x1234*x1324 + 16*x1234*x1325 + 12*x1234*x1326 + 8*x1234*x1327 + 6*x1234*
     x1328 + 2*x1234*x1329 + 18*x1234*x1330 + 16*x1234*x1331 + 12*x1234*x1332
      + 4*x1234*x1333 + 14*x1234*x1334 + 20*x1234*x1335 + 2*x1234*x1336 + 2*
     x1234*x1337 + 2*x1234*x1338 + 12*x1234*x1339 + 6*x1234*x1340 + 6*x1234*
     x1341 + 2*x1234*x1342 + 12*x1234*x1343 + 2*x1234*x1344 + 2*x1234*x1345 + 
     12*x1234*x1346 + 2*x1234*x1347 + 20*x1234*x1348 + 4*x1234*x1349 + 16*x1234
     *x1350 + 20*x1234*x1351 + 4*x1234*x1352 + 20*x1234*x1353 + 2*x1234*x1354
      + 8*x1234*x1355 + 14*x1234*x1356 + 16*x1234*x1357 + 10*x1234*x1358 + 4*
     x1234*x1359 + 20*x1234*x1360 + 4*x1234*x1361 + 14*x1234*x1362 + 6*x1234*
     x1363 + 8*x1234*x1364 + 18*x1234*x1365 + 2*x1234*x1366 + 14*x1234*x1367 + 
     20*x1234*x1368 + 6*x1234*x1369 + 8*x1234*x1370 + 16*x1234*x1371 + 4*x1234*
     x1372 + 20*x1234*x1373 + 12*x1234*x1374 + 16*x1234*x1375 + 12*x1234*x1376
      + 2*x1234*x1377 + 2*x1234*x1378 + 20*x1234*x1379 + 10*x1234*x1380 + 16*
     x1234*x1381 + 4*x1234*x1382 + 12*x1234*x1383 + 18*x1234*x1384 + 4*x1234*
     x1385 + 10*x1234*x1386 + 6*x1234*x1387 + 6*x1234*x1388 + 2*x1234*x1389 + 
     14*x1234*x1390 + 10*x1234*x1391 + 14*x1234*x1392 + 20*x1234*x1393 + 4*
     x1234*x1394 + 4*x1234*x1395 + 10*x1234*x1396 + 4*x1234*x1397 + 10*x1234*
     x1398 + 12*x1234*x1399 + 4*x1234*x1400 + 12*x1234*x1401 + 14*x1234*x1402
      + 20*x1234*x1403 + 16*x1234*x1404 + 4*x1234*x1405 + 10*x1234*x1406 + 6*
     x1234*x1407 + 2*x1234*x1408 + 8*x1234*x1409 + 16*x1234*x1410 + 12*x1234*
     x1411 + 4*x1234*x1412 + 10*x1234*x1413 + 8*x1234*x1414 + 18*x1234*x1415 + 
     6*x1234*x1416 + 6*x1234*x1417 + 4*x1234*x1418 + 18*x1234*x1419 + 2*x1234*
     x1420 + 14*x1234*x1421 + 4*x1234*x1422 + 18*x1234*x1423 + 8*x1234*x1424 + 
     6*x1234*x1425 + 16*x1234*x1426 + 4*x1234*x1427 + 4*x1234*x1428 + 6*x1234*
     x1429 + 6*x1234*x1430 + 8*x1234*x1431 + 20*x1234*x1432 + 14*x1234*x1433 + 
     14*x1234*x1434 + 4*x1234*x1435 + 16*x1234*x1436 + 2*x1234*x1437 + 18*x1234
     *x1438 + 10*x1234*x1439 + 4*x1234*x1440 + 6*x1234*x1441 + 4*x1234*x1442 + 
     14*x1234*x1443 + 18*x1234*x1444 + 18*x1234*x1445 + 4*x1234*x1446 + 12*
     x1234*x1447 + 16*x1234*x1448 + 14*x1234*x1449 + 10*x1234*x1450 + 16*x1234*
     x1451 + 20*x1234*x1452 + 16*x1234*x1453 + 8*x1234*x1454 + 8*x1234*x1455 + 
     2*x1234*x1456 + 8*x1234*x1457 + 12*x1234*x1458 + 16*x1234*x1459 + 18*x1234
     *x1460 + 8*x1234*x1461 + 10*x1234*x1462 + 18*x1234*x1463 + 18*x1234*x1464
      + 12*x1234*x1465 + 12*x1234*x1466 + 6*x1234*x1467 + 18*x1234*x1468 + 20*
     x1234*x1469 + 10*x1234*x1470 + 14*x1234*x1471 + 8*x1234*x1472 + 6*x1234*
     x1473 + 6*x1234*x1474 + 10*x1234*x1475 + 6*x1234*x1476 + 20*x1234*x1477 + 
     18*x1234*x1478 + 2*x1234*x1479 + 8*x1234*x1480 + 8*x1234*x1481 + 12*x1234*
     x1482 + 18*x1234*x1483 + 20*x1234*x1484 + 12*x1234*x1485 + 2*x1234*x1486
      + 16*x1234*x1487 + 4*x1234*x1488 + 4*x1234*x1489 + 12*x1234*x1490 + 20*
     x1234*x1491 + 16*x1234*x1492 + 2*x1234*x1493 + 6*x1234*x1494 + 8*x1234*
     x1495 + 4*x1234*x1496 + 20*x1234*x1497 + 16*x1234*x1498 + 10*x1234*x1499
      + 12*x1234*x1500 + 14*x1234*x1501 + 2*x1234*x1502 + 4*x1234*x1503 + 18*
     x1234*x1504 + 8*x1234*x1505 + 16*x1234*x1506 + 16*x1234*x1507 + 14*x1234*
     x1508 + 10*x1234*x1509 + 16*x1234*x1510 + 8*x1234*x1511 + 16*x1234*x1512
      + 12*x1234*x1513 + 14*x1234*x1514 + 6*x1234*x1515 + 12*x1234*x1516 + 18*
     x1234*x1517 + 4*x1234*x1518 + 14*x1234*x1519 + 20*x1234*x1520 + 16*x1234*
     x1521 + 12*x1234*x1522 + 16*x1234*x1523 + 10*x1234*x1524 + 8*x1234*x1525
      + 16*x1234*x1526 + 10*x1234*x1527 + 10*x1234*x1528 + 20*x1234*x1529 + 14*
     x1234*x1530 + 18*x1234*x1531 + 12*x1234*x1532 + 12*x1234*x1533 + 4*x1234*
     x1534 + 2*x1234*x1535 + 10*x1234*x1536 + 6*x1234*x1537 + 2*x1234*x1538 + 
     16*x1234*x1539 + 16*x1234*x1540 + 12*x1234*x1541 + 16*x1234*x1542 + 18*
     x1234*x1543 + 18*x1234*x1544 + 20*x1234*x1545 + 6*x1234*x1546 + 14*x1234*
     x1547 + 16*x1234*x1548 + 2*x1234*x1549 + 8*x1234*x1550 + 20*x1234*x1551 + 
     12*x1234*x1552 + 18*x1234*x1553 + 10*x1234*x1554 + 14*x1234*x1555 + 10*
     x1234*x1556 + 4*x1234*x1557 + 4*x1234*x1558 + 2*x1234*x1559 + 4*x1234*
     x1560 + 16*x1234*x1561 + 8*x1234*x1562 + 10*x1234*x1563 + 14*x1234*x1564
      + 12*x1234*x1565 + 6*x1234*x1566 + 18*x1234*x1567 + 18*x1234*x1568 + 20*
     x1234*x1569 + 18*x1234*x1570 + 2*x1234*x1571 + 4*x1234*x1572 + 2*x1234*
     x1573 + 16*x1234*x1574 + 8*x1234*x1575 + 14*x1234*x1576 + 14*x1234*x1577
      + 18*x1234*x1578 + 8*x1234*x1579 + 16*x1234*x1580 + 2*x1234*x1581 + 6*
     x1234*x1582 + 10*x1234*x1583 + 4*x1234*x1584 + 4*x1234*x1585 + 8*x1234*
     x1586 + 6*x1234*x1587 + 4*x1234*x1588 + 16*x1234*x1589 + 10*x1234*x1590 + 
     18*x1234*x1591 + 10*x1234*x1592 + 16*x1234*x1593 + 16*x1234*x1594 + 4*
     x1234*x1595 + 16*x1234*x1596 + 20*x1234*x1597 + 12*x1234*x1598 + 20*x1234*
     x1599 + 2*x1234*x1600 + 4*x1234*x1601 + 99.75713737*sqr(x1235) + 4*x1235*
     x1236 + 2*x1235*x1237 + 14*x1235*x1238 + 8*x1235*x1239 + 2*x1235*x1240 + 6
     *x1235*x1241 + 18*x1235*x1242 + 6*x1235*x1243 + 2*x1235*x1244 + 20*x1235*
     x1245 + 20*x1235*x1246 + 12*x1235*x1247 + 4*x1235*x1248 + 4*x1235*x1249 + 
     10*x1235*x1250 + 10*x1235*x1251 + 6*x1235*x1252 + 4*x1235*x1253 + 4*x1235*
     x1254 + 8*x1235*x1255 + 18*x1235*x1256 + 12*x1235*x1257 + 6*x1235*x1258 + 
     16*x1235*x1259 + 6*x1235*x1260 + 16*x1235*x1261 + 14*x1235*x1262 + 16*
     x1235*x1263 + 20*x1235*x1264 + 14*x1235*x1265 + 2*x1235*x1266 + 18*x1235*
     x1267 + 2*x1235*x1268 + 20*x1235*x1269 + 4*x1235*x1270 + 16*x1235*x1271 + 
     6*x1235*x1272 + 20*x1235*x1273 + 20*x1235*x1274 + 12*x1235*x1275 + 12*
     x1235*x1276 + 4*x1235*x1277 + 14*x1235*x1278 + 12*x1235*x1279 + 10*x1235*
     x1280 + 6*x1235*x1281 + 2*x1235*x1282 + 6*x1235*x1283 + 10*x1235*x1284 + 6
     *x1235*x1285 + 16*x1235*x1286 + 12*x1235*x1287 + 6*x1235*x1288 + 18*x1235*
     x1289 + 8*x1235*x1290 + 20*x1235*x1291 + 2*x1235*x1292 + 10*x1235*x1293 + 
     8*x1235*x1294 + 4*x1235*x1295 + 12*x1235*x1296 + 16*x1235*x1297 + 8*x1235*
     x1298 + 18*x1235*x1299 + 2*x1235*x1300 + 14*x1235*x1301 + 2*x1235*x1302 + 
     18*x1235*x1303 + 2*x1235*x1304 + 6*x1235*x1305 + 16*x1235*x1306 + 2*x1235*
     x1307 + 8*x1235*x1308 + 12*x1235*x1309 + 20*x1235*x1310 + 12*x1235*x1311
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     x1235*x1316 + 20*x1235*x1317 + 2*x1235*x1318 + 12*x1235*x1319 + 16*x1235*
     x1320 + 20*x1235*x1321 + 6*x1235*x1322 + 10*x1235*x1323 + 10*x1235*x1324
      + 14*x1235*x1325 + 16*x1235*x1326 + 20*x1235*x1327 + 18*x1235*x1328 + 4*
     x1235*x1329 + 2*x1235*x1330 + 14*x1235*x1331 + 12*x1235*x1332 + 10*x1235*
     x1333 + 2*x1235*x1334 + 6*x1235*x1335 + 18*x1235*x1336 + 4*x1235*x1337 + 4
     *x1235*x1338 + 2*x1235*x1339 + 10*x1235*x1340 + 10*x1235*x1341 + 16*x1235*
     x1342 + 8*x1235*x1343 + 12*x1235*x1344 + 2*x1235*x1345 + 18*x1235*x1346 + 
     6*x1235*x1347 + 6*x1235*x1348 + 14*x1235*x1349 + 20*x1235*x1350 + 2*x1235*
     x1351 + 20*x1235*x1352 + 16*x1235*x1353 + 12*x1235*x1354 + 10*x1235*x1355
      + 12*x1235*x1356 + 16*x1235*x1357 + 12*x1235*x1358 + 2*x1235*x1359 + 8*
     x1235*x1360 + 14*x1235*x1361 + 20*x1235*x1362 + 10*x1235*x1363 + 10*x1235*
     x1364 + 14*x1235*x1365 + 6*x1235*x1366 + 16*x1235*x1367 + 4*x1235*x1368 + 
     16*x1235*x1369 + 12*x1235*x1370 + 8*x1235*x1371 + 14*x1235*x1372 + 14*
     x1235*x1373 + 6*x1235*x1374 + 20*x1235*x1375 + 14*x1235*x1376 + 10*x1235*
     x1377 + 18*x1235*x1378 + 14*x1235*x1379 + 20*x1235*x1380 + 16*x1235*x1381
      + 10*x1235*x1382 + 20*x1235*x1383 + 14*x1235*x1384 + 4*x1235*x1385 + 4*
     x1235*x1386 + 14*x1235*x1387 + 6*x1235*x1388 + 4*x1235*x1389 + 20*x1235*
     x1390 + 14*x1235*x1391 + 8*x1235*x1392 + 8*x1235*x1393 + 10*x1235*x1394 + 
     18*x1235*x1395 + 8*x1235*x1396 + 18*x1235*x1397 + 8*x1235*x1398 + 10*x1235
     *x1399 + 2*x1235*x1400 + 16*x1235*x1401 + 18*x1235*x1402 + 6*x1235*x1403
      + 20*x1235*x1404 + 18*x1235*x1405 + 14*x1235*x1406 + 16*x1235*x1407 + 12*
     x1235*x1408 + 16*x1235*x1409 + 14*x1235*x1410 + 10*x1235*x1411 + 18*x1235*
     x1412 + 12*x1235*x1413 + 20*x1235*x1414 + 6*x1235*x1415 + 20*x1235*x1416
      + 12*x1235*x1417 + 4*x1235*x1418 + 8*x1235*x1419 + 2*x1235*x1420 + 18*
     x1235*x1421 + 18*x1235*x1422 + 6*x1235*x1423 + 12*x1235*x1424 + 6*x1235*
     x1425 + 18*x1235*x1426 + 4*x1235*x1427 + 16*x1235*x1428 + 6*x1235*x1429 + 
     8*x1235*x1430 + 12*x1235*x1431 + 4*x1235*x1432 + 12*x1235*x1433 + 12*x1235
     *x1434 + 14*x1235*x1435 + 8*x1235*x1436 + 16*x1235*x1437 + 2*x1235*x1438
      + 18*x1235*x1439 + 4*x1235*x1440 + 8*x1235*x1441 + 14*x1235*x1442 + 10*
     x1235*x1443 + 6*x1235*x1444 + 4*x1235*x1445 + 6*x1235*x1446 + 16*x1235*
     x1447 + 14*x1235*x1448 + 16*x1235*x1449 + 2*x1235*x1450 + 14*x1235*x1451
      + 4*x1235*x1452 + 6*x1235*x1453 + 14*x1235*x1454 + 16*x1235*x1455 + 20*
     x1235*x1456 + 6*x1235*x1457 + 2*x1235*x1458 + 12*x1235*x1459 + 14*x1235*
     x1460 + 18*x1235*x1461 + 20*x1235*x1462 + 10*x1235*x1463 + 18*x1235*x1464
      + 10*x1235*x1465 + 2*x1235*x1466 + 8*x1235*x1467 + 10*x1235*x1468 + 2*
     x1235*x1469 + 12*x1235*x1470 + 16*x1235*x1471 + 4*x1235*x1472 + 2*x1235*
     x1473 + 2*x1235*x1474 + 2*x1235*x1475 + 16*x1235*x1476 + 14*x1235*x1477 + 
     8*x1235*x1478 + 8*x1235*x1479 + 8*x1235*x1480 + 6*x1235*x1481 + 2*x1235*
     x1482 + 14*x1235*x1483 + 12*x1235*x1484 + 12*x1235*x1485 + 10*x1235*x1486
      + 10*x1235*x1487 + 6*x1235*x1488 + 14*x1235*x1489 + 12*x1235*x1490 + 16*
     x1235*x1491 + 6*x1235*x1492 + 12*x1235*x1493 + 14*x1235*x1494 + 10*x1235*
     x1495 + 2*x1235*x1496 + 4*x1235*x1497 + 14*x1235*x1498 + 2*x1235*x1499 + 
     18*x1235*x1500 + 12*x1235*x1501 + 8*x1235*x1502 + 6*x1235*x1503 + 8*x1235*
     x1504 + 10*x1235*x1505 + 10*x1235*x1506 + 18*x1235*x1507 + 16*x1235*x1508
      + 10*x1235*x1509 + 8*x1235*x1510 + 10*x1235*x1511 + 12*x1235*x1512 + 16*
     x1235*x1513 + 4*x1235*x1514 + 10*x1235*x1515 + 4*x1235*x1516 + 18*x1235*
     x1517 + 18*x1235*x1518 + 2*x1235*x1519 + 2*x1235*x1520 + 4*x1235*x1521 + 
     20*x1235*x1522 + 20*x1235*x1523 + 2*x1235*x1524 + 8*x1235*x1525 + 16*x1235
     *x1526 + 18*x1235*x1527 + 2*x1235*x1528 + 8*x1235*x1529 + 10*x1235*x1530
      + 2*x1235*x1531 + 12*x1235*x1532 + 20*x1235*x1533 + 14*x1235*x1534 + 8*
     x1235*x1535 + 12*x1235*x1536 + 14*x1235*x1537 + 20*x1235*x1538 + 2*x1235*
     x1539 + 2*x1235*x1540 + 14*x1235*x1541 + 16*x1235*x1542 + 16*x1235*x1543
      + 16*x1235*x1544 + 20*x1235*x1545 + 2*x1235*x1546 + 12*x1235*x1547 + 8*
     x1235*x1548 + 10*x1235*x1549 + 8*x1235*x1550 + 16*x1235*x1551 + 6*x1235*
     x1552 + 20*x1235*x1553 + 12*x1235*x1554 + 14*x1235*x1555 + 14*x1235*x1556
      + 12*x1235*x1557 + 12*x1235*x1558 + 10*x1235*x1559 + 4*x1235*x1560 + 8*
     x1235*x1561 + 4*x1235*x1562 + 8*x1235*x1563 + 10*x1235*x1564 + 6*x1235*
     x1565 + 2*x1235*x1566 + 10*x1235*x1567 + 12*x1235*x1568 + 12*x1235*x1569
      + 18*x1235*x1570 + 4*x1235*x1571 + 4*x1235*x1572 + 8*x1235*x1573 + 12*
     x1235*x1574 + 8*x1235*x1575 + 2*x1235*x1576 + 12*x1235*x1577 + 16*x1235*
     x1578 + 16*x1235*x1579 + 10*x1235*x1580 + 4*x1235*x1581 + 16*x1235*x1582
      + 18*x1235*x1583 + 6*x1235*x1584 + 6*x1235*x1585 + 18*x1235*x1586 + 4*
     x1235*x1587 + 20*x1235*x1588 + 8*x1235*x1589 + 12*x1235*x1590 + 2*x1235*
     x1591 + 10*x1235*x1592 + 16*x1235*x1593 + 4*x1235*x1594 + 10*x1235*x1595
      + 8*x1235*x1596 + 2*x1235*x1597 + 12*x1235*x1598 + 16*x1235*x1599 + 16*
     x1235*x1600 + 8*x1235*x1601 + 95.84952811*sqr(x1236) + 6*x1236*x1237 + 6*
     x1236*x1238 + 2*x1236*x1239 + 16*x1236*x1240 + 4*x1236*x1241 + 20*x1236*
     x1242 + 18*x1236*x1243 + 10*x1236*x1244 + 20*x1236*x1245 + 10*x1236*x1246
      + 6*x1236*x1247 + 16*x1236*x1248 + 2*x1236*x1249 + 14*x1236*x1250 + 10*
     x1236*x1251 + 8*x1236*x1252 + 18*x1236*x1253 + 2*x1236*x1254 + 10*x1236*
     x1255 + 20*x1236*x1256 + 10*x1236*x1257 + 2*x1236*x1258 + 18*x1236*x1259
      + 18*x1236*x1260 + 4*x1236*x1261 + 12*x1236*x1262 + 16*x1236*x1263 + 8*
     x1236*x1264 + 2*x1236*x1265 + 2*x1236*x1266 + 18*x1236*x1267 + 4*x1236*
     x1268 + 16*x1236*x1269 + 16*x1236*x1270 + 20*x1236*x1271 + 2*x1236*x1272
      + 20*x1236*x1273 + 18*x1236*x1274 + 16*x1236*x1275 + 12*x1236*x1276 + 10*
     x1236*x1277 + 16*x1236*x1278 + 8*x1236*x1279 + 16*x1236*x1280 + 12*x1236*
     x1281 + 16*x1236*x1282 + 4*x1236*x1283 + 8*x1236*x1284 + 16*x1236*x1285 + 
     20*x1236*x1286 + 6*x1236*x1287 + 18*x1236*x1288 + 10*x1236*x1289 + 16*
     x1236*x1290 + 14*x1236*x1291 + 4*x1236*x1292 + 10*x1236*x1293 + 18*x1236*
     x1294 + 2*x1236*x1295 + 6*x1236*x1296 + 16*x1236*x1297 + 16*x1236*x1298 + 
     4*x1236*x1299 + 16*x1236*x1300 + 10*x1236*x1301 + 10*x1236*x1302 + 2*x1236
     *x1303 + 18*x1236*x1304 + 10*x1236*x1305 + 2*x1236*x1306 + 18*x1236*x1307
      + 12*x1236*x1308 + 12*x1236*x1309 + 18*x1236*x1310 + 20*x1236*x1311 + 12*
     x1236*x1312 + 6*x1236*x1313 + 14*x1236*x1314 + 6*x1236*x1315 + 8*x1236*
     x1316 + 4*x1236*x1317 + 6*x1236*x1318 + 12*x1236*x1319 + 18*x1236*x1320 + 
     10*x1236*x1321 + 4*x1236*x1322 + 4*x1236*x1323 + 4*x1236*x1324 + 6*x1236*
     x1325 + 6*x1236*x1326 + 18*x1236*x1327 + 16*x1236*x1328 + 6*x1236*x1329 + 
     10*x1236*x1330 + 20*x1236*x1331 + 8*x1236*x1332 + 4*x1236*x1333 + 4*x1236*
     x1334 + 18*x1236*x1335 + 18*x1236*x1336 + 8*x1236*x1337 + 4*x1236*x1338 + 
     2*x1236*x1339 + 2*x1236*x1340 + 8*x1236*x1341 + 10*x1236*x1342 + 2*x1236*
     x1343 + 10*x1236*x1344 + 2*x1236*x1345 + 2*x1236*x1346 + 18*x1236*x1347 + 
     18*x1236*x1348 + 18*x1236*x1349 + 8*x1236*x1350 + 2*x1236*x1351 + 12*x1236
     *x1352 + 2*x1236*x1353 + 12*x1236*x1354 + 8*x1236*x1355 + 20*x1236*x1356
      + 8*x1236*x1357 + 14*x1236*x1358 + 8*x1236*x1359 + 20*x1236*x1360 + 4*
     x1236*x1361 + 18*x1236*x1362 + 10*x1236*x1363 + 10*x1236*x1364 + 6*x1236*
     x1365 + 6*x1236*x1366 + 10*x1236*x1367 + 14*x1236*x1368 + 10*x1236*x1369
      + 8*x1236*x1370 + 6*x1236*x1371 + 8*x1236*x1372 + 8*x1236*x1373 + 10*
     x1236*x1374 + 12*x1236*x1375 + 16*x1236*x1376 + 10*x1236*x1377 + 20*x1236*
     x1378 + 16*x1236*x1379 + 6*x1236*x1380 + 12*x1236*x1381 + 10*x1236*x1382
      + 10*x1236*x1383 + 4*x1236*x1384 + 16*x1236*x1385 + 10*x1236*x1386 + 6*
     x1236*x1387 + 4*x1236*x1388 + 18*x1236*x1389 + 6*x1236*x1390 + 6*x1236*
     x1391 + 2*x1236*x1392 + 8*x1236*x1393 + 12*x1236*x1394 + 18*x1236*x1395 + 
     16*x1236*x1396 + 4*x1236*x1397 + 20*x1236*x1398 + 10*x1236*x1399 + 20*
     x1236*x1400 + 16*x1236*x1401 + 4*x1236*x1402 + 18*x1236*x1403 + 10*x1236*
     x1404 + 12*x1236*x1405 + 2*x1236*x1406 + 20*x1236*x1407 + 16*x1236*x1408
      + 16*x1236*x1409 + 4*x1236*x1410 + 10*x1236*x1411 + 12*x1236*x1412 + 4*
     x1236*x1413 + 8*x1236*x1414 + 4*x1236*x1415 + 2*x1236*x1416 + 14*x1236*
     x1417 + 20*x1236*x1418 + 4*x1236*x1419 + 2*x1236*x1420 + 12*x1236*x1421 + 
     4*x1236*x1422 + 16*x1236*x1423 + 20*x1236*x1424 + 2*x1236*x1425 + 12*x1236
     *x1426 + 14*x1236*x1427 + 4*x1236*x1428 + 14*x1236*x1429 + 2*x1236*x1430
      + 18*x1236*x1431 + 10*x1236*x1432 + 16*x1236*x1433 + 20*x1236*x1434 + 16*
     x1236*x1435 + 6*x1236*x1436 + 14*x1236*x1437 + 6*x1236*x1438 + 10*x1236*
     x1439 + 20*x1236*x1440 + 16*x1236*x1441 + 8*x1236*x1442 + 6*x1236*x1443 + 
     14*x1236*x1444 + 2*x1236*x1445 + 18*x1236*x1446 + 16*x1236*x1447 + 4*x1236
     *x1448 + 16*x1236*x1449 + 20*x1236*x1450 + 18*x1236*x1451 + 6*x1236*x1452
      + 20*x1236*x1453 + 16*x1236*x1454 + 8*x1236*x1455 + 8*x1236*x1456 + 16*
     x1236*x1457 + 10*x1236*x1458 + 20*x1236*x1459 + 14*x1236*x1460 + 8*x1236*
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     4*x1297*x1482 + 2*x1297*x1483 + 4*x1297*x1484 + 2*x1297*x1485 + 18*x1297*
     x1486 + 10*x1297*x1487 + 6*x1297*x1488 + 4*x1297*x1489 + 18*x1297*x1490 + 
     18*x1297*x1491 + 16*x1297*x1492 + 20*x1297*x1493 + 18*x1297*x1494 + 12*
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     x1343 + 20*x1298*x1344 + 20*x1298*x1345 + 6*x1298*x1346 + 14*x1298*x1347
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     x1382 + 6*x1298*x1383 + 6*x1298*x1384 + 20*x1298*x1385 + 20*x1298*x1386 + 
     8*x1298*x1387 + 8*x1298*x1388 + 18*x1298*x1389 + 8*x1298*x1390 + 16*x1298*
     x1391 + 6*x1298*x1392 + 2*x1298*x1393 + 4*x1298*x1394 + 12*x1298*x1395 + 2
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     14*x1298*x1440 + 10*x1298*x1441 + 18*x1298*x1442 + 14*x1298*x1443 + 10*
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     18*x1298*x1453 + 12*x1298*x1454 + 18*x1298*x1455 + 10*x1298*x1456 + 4*
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     16*x1298*x1479 + 14*x1298*x1480 + 20*x1298*x1481 + 18*x1298*x1482 + 12*
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     x1487 + 8*x1298*x1488 + 18*x1298*x1489 + 20*x1298*x1490 + 18*x1298*x1491
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     x1500 + 2*x1298*x1501 + 4*x1298*x1502 + 2*x1298*x1503 + 6*x1298*x1504 + 20
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     x1522 + 2*x1298*x1523 + 6*x1298*x1524 + 10*x1298*x1525 + 12*x1298*x1526 + 
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     x1535 + 10*x1298*x1536 + 12*x1298*x1537 + 4*x1298*x1538 + 10*x1298*x1539
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     x1548 + 14*x1298*x1549 + 20*x1298*x1550 + 4*x1298*x1551 + 6*x1298*x1552 + 
     12*x1298*x1553 + 10*x1298*x1554 + 20*x1298*x1555 + 12*x1298*x1556 + 16*
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     x1561 + 8*x1298*x1562 + 4*x1298*x1563 + 8*x1298*x1564 + 8*x1298*x1565 + 6*
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     x1570 + 4*x1298*x1571 + 14*x1298*x1572 + 14*x1298*x1573 + 2*x1298*x1574 + 
     8*x1298*x1575 + 6*x1298*x1576 + 12*x1298*x1577 + 14*x1298*x1578 + 2*x1298*
     x1579 + 18*x1298*x1580 + 14*x1298*x1581 + 14*x1298*x1582 + 18*x1298*x1583
      + 10*x1298*x1584 + 8*x1298*x1585 + 20*x1298*x1586 + 8*x1298*x1587 + 10*
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     x1592 + 16*x1298*x1593 + 14*x1298*x1594 + 18*x1298*x1595 + 20*x1298*x1596
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     x1298*x1601 + 104.2316195*sqr(x1299) + 12*x1299*x1300 + 20*x1299*x1301 + 
     12*x1299*x1302 + 4*x1299*x1303 + 10*x1299*x1304 + 18*x1299*x1305 + 12*
     x1299*x1306 + 10*x1299*x1307 + 4*x1299*x1308 + 8*x1299*x1309 + 18*x1299*
     x1310 + 8*x1299*x1311 + 20*x1299*x1312 + 18*x1299*x1313 + 6*x1299*x1314 + 
     6*x1299*x1315 + 20*x1299*x1316 + 4*x1299*x1317 + 8*x1299*x1318 + 4*x1299*
     x1319 + 8*x1299*x1320 + 6*x1299*x1321 + 6*x1299*x1322 + 10*x1299*x1323 + 
     10*x1299*x1324 + 14*x1299*x1325 + 6*x1299*x1326 + 2*x1299*x1327 + 4*x1299*
     x1328 + 14*x1299*x1329 + 20*x1299*x1330 + 8*x1299*x1331 + 2*x1299*x1332 + 
     6*x1299*x1333 + 18*x1299*x1334 + 4*x1299*x1335 + 8*x1299*x1336 + 4*x1299*
     x1337 + 18*x1299*x1338 + 4*x1299*x1339 + 14*x1299*x1340 + 16*x1299*x1341
      + 6*x1299*x1342 + 2*x1299*x1343 + 10*x1299*x1344 + 12*x1299*x1345 + 8*
     x1299*x1346 + 8*x1299*x1347 + 14*x1299*x1348 + 16*x1299*x1349 + 16*x1299*
     x1350 + 12*x1299*x1351 + 6*x1299*x1352 + 6*x1299*x1353 + 8*x1299*x1354 + 
     10*x1299*x1355 + 6*x1299*x1356 + 12*x1299*x1357 + 6*x1299*x1358 + 8*x1299*
     x1359 + 12*x1299*x1360 + 10*x1299*x1361 + 2*x1299*x1362 + 2*x1299*x1363 + 
     16*x1299*x1364 + 4*x1299*x1365 + 6*x1299*x1366 + 14*x1299*x1367 + 14*x1299
     *x1368 + 2*x1299*x1369 + 18*x1299*x1370 + 10*x1299*x1371 + 10*x1299*x1372
      + 10*x1299*x1373 + 12*x1299*x1374 + 12*x1299*x1375 + 20*x1299*x1376 + 14*
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     x1381 + 12*x1299*x1382 + 6*x1299*x1383 + 4*x1299*x1384 + 2*x1299*x1385 + 
     18*x1299*x1386 + 16*x1299*x1387 + 16*x1299*x1388 + 2*x1299*x1389 + 16*
     x1299*x1390 + 2*x1299*x1391 + 16*x1299*x1392 + 8*x1299*x1393 + 12*x1299*
     x1394 + 12*x1299*x1395 + 2*x1299*x1396 + 16*x1299*x1397 + 8*x1299*x1398 + 
     12*x1299*x1399 + 10*x1299*x1400 + 12*x1299*x1401 + 2*x1299*x1402 + 2*x1299
     *x1403 + 6*x1299*x1404 + 12*x1299*x1405 + 6*x1299*x1406 + 16*x1299*x1407
      + 14*x1299*x1408 + 4*x1299*x1409 + 12*x1299*x1410 + 2*x1299*x1411 + 16*
     x1299*x1412 + 4*x1299*x1413 + 18*x1299*x1414 + 2*x1299*x1415 + 14*x1299*
     x1416 + 2*x1299*x1417 + 10*x1299*x1418 + 6*x1299*x1419 + 18*x1299*x1420 + 
     6*x1299*x1421 + 12*x1299*x1422 + 18*x1299*x1423 + 4*x1299*x1424 + 20*x1299
     *x1425 + 10*x1299*x1426 + 6*x1299*x1427 + 4*x1299*x1428 + 20*x1299*x1429
      + 16*x1299*x1430 + 4*x1299*x1431 + 18*x1299*x1432 + 18*x1299*x1433 + 2*
     x1299*x1434 + 8*x1299*x1435 + 14*x1299*x1436 + 12*x1299*x1437 + 18*x1299*
     x1438 + 2*x1299*x1439 + 2*x1299*x1440 + 6*x1299*x1441 + 8*x1299*x1442 + 8*
     x1299*x1443 + 14*x1299*x1444 + 18*x1299*x1445 + 20*x1299*x1446 + 2*x1299*
     x1447 + 2*x1299*x1448 + 6*x1299*x1449 + 14*x1299*x1450 + 10*x1299*x1451 + 
     18*x1299*x1452 + 20*x1299*x1453 + 12*x1299*x1454 + 18*x1299*x1455 + 10*
     x1299*x1456 + 4*x1299*x1457 + 12*x1299*x1458 + 8*x1299*x1459 + 6*x1299*
     x1460 + 4*x1299*x1461 + 14*x1299*x1462 + 2*x1299*x1463 + 6*x1299*x1464 + 4
     *x1299*x1465 + 8*x1299*x1466 + 16*x1299*x1467 + 16*x1299*x1468 + 20*x1299*
     x1469 + 2*x1299*x1470 + 12*x1299*x1471 + 10*x1299*x1472 + 12*x1299*x1473
      + 12*x1299*x1474 + 12*x1299*x1475 + 14*x1299*x1476 + 2*x1299*x1477 + 12*
     x1299*x1478 + 8*x1299*x1479 + 18*x1299*x1480 + 12*x1299*x1481 + 2*x1299*
     x1482 + 20*x1299*x1483 + 10*x1299*x1484 + 12*x1299*x1485 + 16*x1299*x1486
      + 18*x1299*x1487 + 16*x1299*x1488 + 14*x1299*x1489 + 16*x1299*x1490 + 14*
     x1299*x1491 + 10*x1299*x1492 + 12*x1299*x1493 + 8*x1299*x1494 + 12*x1299*
     x1495 + 8*x1299*x1496 + 8*x1299*x1497 + 4*x1299*x1498 + 4*x1299*x1499 + 4*
     x1299*x1500 + 2*x1299*x1501 + 14*x1299*x1502 + 18*x1299*x1503 + 18*x1299*
     x1504 + 2*x1299*x1505 + 2*x1299*x1506 + 2*x1299*x1507 + 2*x1299*x1508 + 14
     *x1299*x1509 + 2*x1299*x1510 + 18*x1299*x1511 + 14*x1299*x1512 + 8*x1299*
     x1513 + 16*x1299*x1514 + 10*x1299*x1515 + 6*x1299*x1516 + 16*x1299*x1517
      + 10*x1299*x1518 + 12*x1299*x1519 + 18*x1299*x1520 + 14*x1299*x1521 + 8*
     x1299*x1522 + 4*x1299*x1523 + 10*x1299*x1524 + 6*x1299*x1525 + 20*x1299*
     x1526 + 8*x1299*x1527 + 20*x1299*x1528 + 2*x1299*x1529 + 6*x1299*x1530 + 2
     *x1299*x1531 + 2*x1299*x1532 + 4*x1299*x1533 + 8*x1299*x1534 + 20*x1299*
     x1535 + 10*x1299*x1536 + 20*x1299*x1537 + 18*x1299*x1538 + 2*x1299*x1539
      + 16*x1299*x1540 + 10*x1299*x1541 + 16*x1299*x1542 + 2*x1299*x1543 + 14*
     x1299*x1544 + 2*x1299*x1545 + 2*x1299*x1546 + 2*x1299*x1547 + 6*x1299*
     x1548 + 6*x1299*x1549 + 14*x1299*x1550 + 12*x1299*x1551 + 10*x1299*x1552
      + 12*x1299*x1553 + 18*x1299*x1554 + 14*x1299*x1555 + 2*x1299*x1556 + 18*
     x1299*x1557 + 18*x1299*x1558 + 20*x1299*x1559 + 20*x1299*x1560 + 4*x1299*
     x1561 + 10*x1299*x1562 + 14*x1299*x1563 + 2*x1299*x1564 + 12*x1299*x1565
      + 4*x1299*x1566 + 12*x1299*x1567 + 14*x1299*x1568 + 2*x1299*x1569 + 6*
     x1299*x1570 + 14*x1299*x1571 + 8*x1299*x1572 + 16*x1299*x1573 + 12*x1299*
     x1574 + 8*x1299*x1575 + 4*x1299*x1576 + 14*x1299*x1577 + 20*x1299*x1578 + 
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     *x1583 + 2*x1299*x1584 + 12*x1299*x1585 + 6*x1299*x1586 + 16*x1299*x1587
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     14*x1377*x1471 + 14*x1377*x1472 + 16*x1377*x1473 + 2*x1377*x1474 + 14*
     x1377*x1475 + 10*x1377*x1476 + 4*x1377*x1477 + 14*x1377*x1478 + 8*x1377*
     x1479 + 2*x1377*x1480 + 2*x1377*x1481 + 4*x1377*x1482 + 12*x1377*x1483 + 
     16*x1377*x1484 + 8*x1377*x1485 + 10*x1377*x1486 + 14*x1377*x1487 + 20*
     x1377*x1488 + 10*x1377*x1489 + 14*x1377*x1490 + 10*x1377*x1491 + 10*x1377*
     x1492 + 2*x1377*x1493 + 8*x1377*x1494 + 4*x1377*x1495 + 18*x1377*x1496 + 2
     *x1377*x1497 + 14*x1377*x1498 + 10*x1377*x1499 + 12*x1377*x1500 + 2*x1377*
     x1501 + 4*x1377*x1502 + 6*x1377*x1503 + 18*x1377*x1504 + 8*x1377*x1505 + 
     18*x1377*x1506 + 10*x1377*x1507 + 14*x1