MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Instance: telecomsp_nor_sun

Telecommunication Network Design with Shared Protection
Formats ams gms lp mod nl osil pip
Primal Bounds (infeas ≤ 1e-08)
258345.10000000 p1 ( gdx sol )
(infeas: 7e-15)
257997.60000000 p2 ( gdx sol )
(infeas: 0)
219773.90000000 p3 ( gdx sol )
(infeas: 0)
209217.00000000 p4 ( gdx sol )
(infeas: 0)
Other points (infeas > 1e-08)  
Dual Bounds
0.00000000 (ANTIGONE)
139271.62220000 (COUENNE)
155276.64530000 (LINDO)
146233.25120000 (SCIP)
References Belotti, Pietro, Design of Telecommunication Networks with Shared Protection, 2009.
Source spn-nor_sun.mod from minlp.org model 51
Application Network Design
Added to library 31 May 2014
Problem type MBQCP
#Variables 31926
#Binary Variables 31824
#Integer Variables 0
#Nonlinear Variables 23868
#Nonlinear Binary Variables 23868
#Nonlinear Integer Variables 0
Objective Sense min
Objective type linear
Objective curvature linear
#Nonzeros in Objective 102
#Nonlinear Nonzeros in Objective 0
#Constraints 21270
#Linear Constraints 16068
#Quadratic Constraints 5202
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature indefinite
#Nonzeros in Jacobian 2525286
#Nonlinear Nonzeros in Jacobian 1623024
#Nonzeros in (Upper-Left) Hessian of Lagrangian 1623024
#Nonzeros in Diagonal of Hessian of Lagrangian 0
#Blocks in Hessian of Lagrangian 156
Minimal blocksize in Hessian of Lagrangian 153
Maximal blocksize in Hessian of Lagrangian 153
Average blocksize in Hessian of Lagrangian 153.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Infeasibility of initial point 1
Sparsity Jacobian Sparsity of Objective Gradient and Jacobian
Sparsity Hessian of Lagrangian Sparsity of Hessian of Lagrangian

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*      21271     8113        0    13158        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*      31927      103    31824        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*    2525389   902365  1623024        0
*
*  Solve m using MINLP minimizing objvar;


Variables  b1,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,b402
          ,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414,b415
          ,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427,b428
          ,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440,b441
          ,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453,b454
          ,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466,b467
          ,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479,b480
          ,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492,b493
          ,b494,b495,b496,b497,b498,b499,b500,b501,b502,b503,b504,b505,b506
          ,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517,b518,b519
          ,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529,b530,b531,b532
          ,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543,b544,b545
          ,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557,b558
          ,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569,b570,b571
          ,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581,b582,b583,b584
          ,b585,b586,b587,b588,b589,b590,b591,b592,b593,b594,b595,b596,b597
          ,b598,b599,b600,b601,b602,b603,b604,b605,b606,b607,b608,b609,b610
          ,b611,b612,b613,b614,b615,b616,b617,b618,b619,b620,b621,b622,b623
          ,b624,b625,b626,b627,b628,b629,b630,b631,b632,b633,b634,b635,b636
          ,b637,b638,b639,b640,b641,b642,b643,b644,b645,b646,b647,b648,b649
          ,b650,b651,b652,b653,b654,b655,b656,b657,b658,b659,b660,b661,b662
          ,b663,b664,b665,b666,b667,b668,b669,b670,b671,b672,b673,b674,b675
          ,b676,b677,b678,b679,b680,b681,b682,b683,b684,b685,b686,b687,b688
          ,b689,b690,b691,b692,b693,b694,b695,b696,b697,b698,b699,b700,b701
          ,b702,b703,b704,b705,b706,b707,b708,b709,b710,b711,b712,b713,b714
          ,b715,b716,b717,b718,b719,b720,b721,b722,b723,b724,b725,b726,b727
          ,b728,b729,b730,b731,b732,b733,b734,b735,b736,b737,b738,b739,b740
          ,b741,b742,b743,b744,b745,b746,b747,b748,b749,b750,b751,b752,b753
          ,b754,b755,b756,b757,b758,b759,b760,b761,b762,b763,b764,b765,b766
          ,b767,b768,b769,b770,b771,b772,b773,b774,b775,b776,b777,b778,b779
          ,b780,b781,b782,b783,b784,b785,b786,b787,b788,b789,b790,b791,b792
          ,b793,b794,b795,b796,b797,b798,b799,b800,b801,b802,b803,b804,b805
          ,b806,b807,b808,b809,b810,b811,b812,b813,b814,b815,b816,b817,b818
          ,b819,b820,b821,b822,b823,b824,b825,b826,b827,b828,b829,b830,b831
          ,b832,b833,b834,b835,b836,b837,b838,b839,b840,b841,b842,b843,b844
          ,b845,b846,b847,b848,b849,b850,b851,b852,b853,b854,b855,b856,b857
          ,b858,b859,b860,b861,b862,b863,b864,b865,b866,b867,b868,b869,b870
          ,b871,b872,b873,b874,b875,b876,b877,b878,b879,b880,b881,b882,b883
          ,b884,b885,b886,b887,b888,b889,b890,b891,b892,b893,b894,b895,b896
          ,b897,b898,b899,b900,b901,b902,b903,b904,b905,b906,b907,b908,b909
          ,b910,b911,b912,b913,b914,b915,b916,b917,b918,b919,b920,b921,b922
          ,b923,b924,b925,b926,b927,b928,b929,b930,b931,b932,b933,b934,b935
          ,b936,b937,b938,b939,b940,b941,b942,b943,b944,b945,b946,b947,b948
          ,b949,b950,b951,b952,b953,b954,b955,b956,b957,b958,b959,b960,b961
          ,b962,b963,b964,b965,b966,b967,b968,b969,b970,b971,b972,b973,b974
          ,b975,b976,b977,b978,b979,b980,b981,b982,b983,b984,b985,b986,b987
          ,b988,b989,b990,b991,b992,b993,b994,b995,b996,b997,b998,b999,b1000
          ,b1001,b1002,b1003,b1004,b1005,b1006,b1007,b1008,b1009,b1010,b1011
          ,b1012,b1013,b1014,b1015,b1016,b1017,b1018,b1019,b1020,b1021,b1022
          ,b1023,b1024,b1025,b1026,b1027,b1028,b1029,b1030,b1031,b1032,b1033
          ,b1034,b1035,b1036,b1037,b1038,b1039,b1040,b1041,b1042,b1043,b1044
          ,b1045,b1046,b1047,b1048,b1049,b1050,b1051,b1052,b1053,b1054,b1055
          ,b1056,b1057,b1058,b1059,b1060,b1061,b1062,b1063,b1064,b1065,b1066
          ,b1067,b1068,b1069,b1070,b1071,b1072,b1073,b1074,b1075,b1076,b1077
          ,b1078,b1079,b1080,b1081,b1082,b1083,b1084,b1085,b1086,b1087,b1088
          ,b1089,b1090,b1091,b1092,b1093,b1094,b1095,b1096,b1097,b1098,b1099
          ,b1100,b1101,b1102,b1103,b1104,b1105,b1106,b1107,b1108,b1109,b1110
          ,b1111,b1112,b1113,b1114,b1115,b1116,b1117,b1118,b1119,b1120,b1121
          ,b1122,b1123,b1124,b1125,b1126,b1127,b1128,b1129,b1130,b1131,b1132
          ,b1133,b1134,b1135,b1136,b1137,b1138,b1139,b1140,b1141,b1142,b1143
          ,b1144,b1145,b1146,b1147,b1148,b1149,b1150,b1151,b1152,b1153,b1154
          ,b1155,b1156,b1157,b1158,b1159,b1160,b1161,b1162,b1163,b1164,b1165
          ,b1166,b1167,b1168,b1169,b1170,b1171,b1172,b1173,b1174,b1175,b1176
          ,b1177,b1178,b1179,b1180,b1181,b1182,b1183,b1184,b1185,b1186,b1187
          ,b1188,b1189,b1190,b1191,b1192,b1193,b1194,b1195,b1196,b1197,b1198
          ,b1199,b1200,b1201,b1202,b1203,b1204,b1205,b1206,b1207,b1208,b1209
          ,b1210,b1211,b1212,b1213,b1214,b1215,b1216,b1217,b1218,b1219,b1220
          ,b1221,b1222,b1223,b1224,b1225,b1226,b1227,b1228,b1229,b1230,b1231
          ,b1232,b1233,b1234,b1235,b1236,b1237,b1238,b1239,b1240,b1241,b1242
          ,b1243,b1244,b1245,b1246,b1247,b1248,b1249,b1250,b1251,b1252,b1253
          ,b1254,b1255,b1256,b1257,b1258,b1259,b1260,b1261,b1262,b1263,b1264
          ,b1265,b1266,b1267,b1268,b1269,b1270,b1271,b1272,b1273,b1274,b1275
          ,b1276,b1277,b1278,b1279,b1280,b1281,b1282,b1283,b1284,b1285,b1286
          ,b1287,b1288,b1289,b1290,b1291,b1292,b1293,b1294,b1295,b1296,b1297
          ,b1298,b1299,b1300,b1301,b1302,b1303,b1304,b1305,b1306,b1307,b1308
          ,b1309,b1310,b1311,b1312,b1313,b1314,b1315,b1316,b1317,b1318,b1319
          ,b1320,b1321,b1322,b1323,b1324,b1325,b1326,b1327,b1328,b1329,b1330
          ,b1331,b1332,b1333,b1334,b1335,b1336,b1337,b1338,b1339,b1340,b1341
          ,b1342,b1343,b1344,b1345,b1346,b1347,b1348,b1349,b1350,b1351,b1352
          ,b1353,b1354,b1355,b1356,b1357,b1358,b1359,b1360,b1361,b1362,b1363
          ,b1364,b1365,b1366,b1367,b1368,b1369,b1370,b1371,b1372,b1373,b1374
          ,b1375,b1376,b1377,b1378,b1379,b1380,b1381,b1382,b1383,b1384,b1385
          ,b1386,b1387,b1388,b1389,b1390,b1391,b1392,b1393,b1394,b1395,b1396
          ,b1397,b1398,b1399,b1400,b1401,b1402,b1403,b1404,b1405,b1406,b1407
          ,b1408,b1409,b1410,b1411,b1412,b1413,b1414,b1415,b1416,b1417,b1418
          ,b1419,b1420,b1421,b1422,b1423,b1424,b1425,b1426,b1427,b1428,b1429
          ,b1430,b1431,b1432,b1433,b1434,b1435,b1436,b1437,b1438,b1439,b1440
          ,b1441,b1442,b1443,b1444,b1445,b1446,b1447,b1448,b1449,b1450,b1451
          ,b1452,b1453,b1454,b1455,b1456,b1457,b1458,b1459,b1460,b1461,b1462
          ,b1463,b1464,b1465,b1466,b1467,b1468,b1469,b1470,b1471,b1472,b1473
          ,b1474,b1475,b1476,b1477,b1478,b1479,b1480,b1481,b1482,b1483,b1484
          ,b1485,b1486,b1487,b1488,b1489,b1490,b1491,b1492,b1493,b1494,b1495
          ,b1496,b1497,b1498,b1499,b1500,b1501,b1502,b1503,b1504,b1505,b1506
          ,b1507,b1508,b1509,b1510,b1511,b1512,b1513,b1514,b1515,b1516,b1517
          ,b1518,b1519,b1520,b1521,b1522,b1523,b1524,b1525,b1526,b1527,b1528
          ,b1529,b1530,b1531,b1532,b1533,b1534,b1535,b1536,b1537,b1538,b1539
          ,b1540,b1541,b1542,b1543,b1544,b1545,b1546,b1547,b1548,b1549,b1550
          ,b1551,b1552,b1553,b1554,b1555,b1556,b1557,b1558,b1559,b1560,b1561
          ,b1562,b1563,b1564,b1565,b1566,b1567,b1568,b1569,b1570,b1571,b1572
          ,b1573,b1574,b1575,b1576,b1577,b1578,b1579,b1580,b1581,b1582,b1583
          ,b1584,b1585,b1586,b1587,b1588,b1589,b1590,b1591,b1592,b1593,b1594
          ,b1595,b1596,b1597,b1598,b1599,b1600,b1601,b1602,b1603,b1604,b1605
          ,b1606,b1607,b1608,b1609,b1610,b1611,b1612,b1613,b1614,b1615,b1616
          ,b1617,b1618,b1619,b1620,b1621,b1622,b1623,b1624,b1625,b1626,b1627
          ,b1628,b1629,b1630,b1631,b1632,b1633,b1634,b1635,b1636,b1637,b1638
          ,b1639,b1640,b1641,b1642,b1643,b1644,b1645,b1646,b1647,b1648,b1649
          ,b1650,b1651,b1652,b1653,b1654,b1655,b1656,b1657,b1658,b1659,b1660
          ,b1661,b1662,b1663,b1664,b1665,b1666,b1667,b1668,b1669,b1670,b1671
          ,b1672,b1673,b1674,b1675,b1676,b1677,b1678,b1679,b1680,b1681,b1682
          ,b1683,b1684,b1685,b1686,b1687,b1688,b1689,b1690,b1691,b1692,b1693
          ,b1694,b1695,b1696,b1697,b1698,b1699,b1700,b1701,b1702,b1703,b1704
          ,b1705,b1706,b1707,b1708,b1709,b1710,b1711,b1712,b1713,b1714,b1715
          ,b1716,b1717,b1718,b1719,b1720,b1721,b1722,b1723,b1724,b1725,b1726
          ,b1727,b1728,b1729,b1730,b1731,b1732,b1733,b1734,b1735,b1736,b1737
          ,b1738,b1739,b1740,b1741,b1742,b1743,b1744,b1745,b1746,b1747,b1748
          ,b1749,b1750,b1751,b1752,b1753,b1754,b1755,b1756,b1757,b1758,b1759
          ,b1760,b1761,b1762,b1763,b1764,b1765,b1766,b1767,b1768,b1769,b1770
          ,b1771,b1772,b1773,b1774,b1775,b1776,b1777,b1778,b1779,b1780,b1781
          ,b1782,b1783,b1784,b1785,b1786,b1787,b1788,b1789,b1790,b1791,b1792
          ,b1793,b1794,b1795,b1796,b1797,b1798,b1799,b1800,b1801,b1802,b1803
          ,b1804,b1805,b1806,b1807,b1808,b1809,b1810,b1811,b1812,b1813,b1814
          ,b1815,b1816,b1817,b1818,b1819,b1820,b1821,b1822,b1823,b1824,b1825
          ,b1826,b1827,b1828,b1829,b1830,b1831,b1832,b1833,b1834,b1835,b1836
          ,b1837,b1838,b1839,b1840,b1841,b1842,b1843,b1844,b1845,b1846,b1847
          ,b1848,b1849,b1850,b1851,b1852,b1853,b1854,b1855,b1856,b1857,b1858
          ,b1859,b1860,b1861,b1862,b1863,b1864,b1865,b1866,b1867,b1868,b1869
          ,b1870,b1871,b1872,b1873,b1874,b1875,b1876,b1877,b1878,b1879,b1880
          ,b1881,b1882,b1883,b1884,b1885,b1886,b1887,b1888,b1889,b1890,b1891
          ,b1892,b1893,b1894,b1895,b1896,b1897,b1898,b1899,b1900,b1901,b1902
          ,b1903,b1904,b1905,b1906,b1907,b1908,b1909,b1910,b1911,b1912,b1913
          ,b1914,b1915,b1916,b1917,b1918,b1919,b1920,b1921,b1922,b1923,b1924
          ,b1925,b1926,b1927,b1928,b1929,b1930,b1931,b1932,b1933,b1934,b1935
          ,b1936,b1937,b1938,b1939,b1940,b1941,b1942,b1943,b1944,b1945,b1946
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          ,b30114,b30115,b30116,b30117,b30118,b30119,b30120,b30121,b30122
          ,b30123,b30124,b30125,b30126,b30127,b30128,b30129,b30130,b30131
          ,b30132,b30133,b30134,b30135,b30136,b30137,b30138,b30139,b30140
          ,b30141,b30142,b30143,b30144,b30145,b30146,b30147,b30148,b30149
          ,b30150,b30151,b30152,b30153,b30154,b30155,b30156,b30157,b30158
          ,b30159,b30160,b30161,b30162,b30163,b30164,b30165,b30166,b30167
          ,b30168,b30169,b30170,b30171,b30172,b30173,b30174,b30175,b30176
          ,b30177,b30178,b30179,b30180,b30181,b30182,b30183,b30184,b30185
          ,b30186,b30187,b30188,b30189,b30190,b30191,b30192,b30193,b30194
          ,b30195,b30196,b30197,b30198,b30199,b30200,b30201,b30202,b30203
          ,b30204,b30205,b30206,b30207,b30208,b30209,b30210,b30211,b30212
          ,b30213,b30214,b30215,b30216,b30217,b30218,b30219,b30220,b30221
          ,b30222,b30223,b30224,b30225,b30226,b30227,b30228,b30229,b30230
          ,b30231,b30232,b30233,b30234,b30235,b30236,b30237,b30238,b30239
          ,b30240,b30241,b30242,b30243,b30244,b30245,b30246,b30247,b30248
          ,b30249,b30250,b30251,b30252,b30253,b30254,b30255,b30256,b30257
          ,b30258,b30259,b30260,b30261,b30262,b30263,b30264,b30265,b30266
          ,b30267,b30268,b30269,b30270,b30271,b30272,b30273,b30274,b30275
          ,b30276,b30277,b30278,b30279,b30280,b30281,b30282,b30283,b30284
          ,b30285,b30286,b30287,b30288,b30289,b30290,b30291,b30292,b30293
          ,b30294,b30295,b30296,b30297,b30298,b30299,b30300,b30301,b30302
          ,b30303,b30304,b30305,b30306,b30307,b30308,b30309,b30310,b30311
          ,b30312,b30313,b30314,b30315,b30316,b30317,b30318,b30319,b30320
          ,b30321,b30322,b30323,b30324,b30325,b30326,b30327,b30328,b30329
          ,b30330,b30331,b30332,b30333,b30334,b30335,b30336,b30337,b30338
          ,b30339,b30340,b30341,b30342,b30343,b30344,b30345,b30346,b30347
          ,b30348,b30349,b30350,b30351,b30352,b30353,b30354,b30355,b30356
          ,b30357,b30358,b30359,b30360,b30361,b30362,b30363,b30364,b30365
          ,b30366,b30367,b30368,b30369,b30370,b30371,b30372,b30373,b30374
          ,b30375,b30376,b30377,b30378,b30379,b30380,b30381,b30382,b30383
          ,b30384,b30385,b30386,b30387,b30388,b30389,b30390,b30391,b30392
          ,b30393,b30394,b30395,b30396,b30397,b30398,b30399,b30400,b30401
          ,b30402,b30403,b30404,b30405,b30406,b30407,b30408,b30409,b30410
          ,b30411,b30412,b30413,b30414,b30415,b30416,b30417,b30418,b30419
          ,b30420,b30421,b30422,b30423,b30424,b30425,b30426,b30427,b30428
          ,b30429,b30430,b30431,b30432,b30433,b30434,b30435,b30436,b30437
          ,b30438,b30439,b30440,b30441,b30442,b30443,b30444,b30445,b30446
          ,b30447,b30448,b30449,b30450,b30451,b30452,b30453,b30454,b30455
          ,b30456,b30457,b30458,b30459,b30460,b30461,b30462,b30463,b30464
          ,b30465,b30466,b30467,b30468,b30469,b30470,b30471,b30472,b30473
          ,b30474,b30475,b30476,b30477,b30478,b30479,b30480,b30481,b30482
          ,b30483,b30484,b30485,b30486,b30487,b30488,b30489,b30490,b30491
          ,b30492,b30493,b30494,b30495,b30496,b30497,b30498,b30499,b30500
          ,b30501,b30502,b30503,b30504,b30505,b30506,b30507,b30508,b30509
          ,b30510,b30511,b30512,b30513,b30514,b30515,b30516,b30517,b30518
          ,b30519,b30520,b30521,b30522,b30523,b30524,b30525,b30526,b30527
          ,b30528,b30529,b30530,b30531,b30532,b30533,b30534,b30535,b30536
          ,b30537,b30538,b30539,b30540,b30541,b30542,b30543,b30544,b30545
          ,b30546,b30547,b30548,b30549,b30550,b30551,b30552,b30553,b30554
          ,b30555,b30556,b30557,b30558,b30559,b30560,b30561,b30562,b30563
          ,b30564,b30565,b30566,b30567,b30568,b30569,b30570,b30571,b30572
          ,b30573,b30574,b30575,b30576,b30577,b30578,b30579,b30580,b30581
          ,b30582,b30583,b30584,b30585,b30586,b30587,b30588,b30589,b30590
          ,b30591,b30592,b30593,b30594,b30595,b30596,b30597,b30598,b30599
          ,b30600,b30601,b30602,b30603,b30604,b30605,b30606,b30607,b30608
          ,b30609,b30610,b30611,b30612,b30613,b30614,b30615,b30616,b30617
          ,b30618,b30619,b30620,b30621,b30622,b30623,b30624,b30625,b30626
          ,b30627,b30628,b30629,b30630,b30631,b30632,b30633,b30634,b30635
          ,b30636,b30637,b30638,b30639,b30640,b30641,b30642,b30643,b30644
          ,b30645,b30646,b30647,b30648,b30649,b30650,b30651,b30652,b30653
          ,b30654,b30655,b30656,b30657,b30658,b30659,b30660,b30661,b30662
          ,b30663,b30664,b30665,b30666,b30667,b30668,b30669,b30670,b30671
          ,b30672,b30673,b30674,b30675,b30676,b30677,b30678,b30679,b30680
          ,b30681,b30682,b30683,b30684,b30685,b30686,b30687,b30688,b30689
          ,b30690,b30691,b30692,b30693,b30694,b30695,b30696,b30697,b30698
          ,b30699,b30700,b30701,b30702,b30703,b30704,b30705,b30706,b30707
          ,b30708,b30709,b30710,b30711,b30712,b30713,b30714,b30715,b30716
          ,b30717,b30718,b30719,b30720,b30721,b30722,b30723,b30724,b30725
          ,b30726,b30727,b30728,b30729,b30730,b30731,b30732,b30733,b30734
          ,b30735,b30736,b30737,b30738,b30739,b30740,b30741,b30742,b30743
          ,b30744,b30745,b30746,b30747,b30748,b30749,b30750,b30751,b30752
          ,b30753,b30754,b30755,b30756,b30757,b30758,b30759,b30760,b30761
          ,b30762,b30763,b30764,b30765,b30766,b30767,b30768,b30769,b30770
          ,b30771,b30772,b30773,b30774,b30775,b30776,b30777,b30778,b30779
          ,b30780,b30781,b30782,b30783,b30784,b30785,b30786,b30787,b30788
          ,b30789,b30790,b30791,b30792,b30793,b30794,b30795,b30796,b30797
          ,b30798,b30799,b30800,b30801,b30802,b30803,b30804,b30805,b30806
          ,b30807,b30808,b30809,b30810,b30811,b30812,b30813,b30814,b30815
          ,b30816,b30817,b30818,b30819,b30820,b30821,b30822,b30823,b30824
          ,b30825,b30826,b30827,b30828,b30829,b30830,b30831,b30832,b30833
          ,b30834,b30835,b30836,b30837,b30838,b30839,b30840,b30841,b30842
          ,b30843,b30844,b30845,b30846,b30847,b30848,b30849,b30850,b30851
          ,b30852,b30853,b30854,b30855,b30856,b30857,b30858,b30859,b30860
          ,b30861,b30862,b30863,b30864,b30865,b30866,b30867,b30868,b30869
          ,b30870,b30871,b30872,b30873,b30874,b30875,b30876,b30877,b30878
          ,b30879,b30880,b30881,b30882,b30883,b30884,b30885,b30886,b30887
          ,b30888,b30889,b30890,b30891,b30892,b30893,b30894,b30895,b30896
          ,b30897,b30898,b30899,b30900,b30901,b30902,b30903,b30904,b30905
          ,b30906,b30907,b30908,b30909,b30910,b30911,b30912,b30913,b30914
          ,b30915,b30916,b30917,b30918,b30919,b30920,b30921,b30922,b30923
          ,b30924,b30925,b30926,b30927,b30928,b30929,b30930,b30931,b30932
          ,b30933,b30934,b30935,b30936,b30937,b30938,b30939,b30940,b30941
          ,b30942,b30943,b30944,b30945,b30946,b30947,b30948,b30949,b30950
          ,b30951,b30952,b30953,b30954,b30955,b30956,b30957,b30958,b30959
          ,b30960,b30961,b30962,b30963,b30964,b30965,b30966,b30967,b30968
          ,b30969,b30970,b30971,b30972,b30973,b30974,b30975,b30976,b30977
          ,b30978,b30979,b30980,b30981,b30982,b30983,b30984,b30985,b30986
          ,b30987,b30988,b30989,b30990,b30991,b30992,b30993,b30994,b30995
          ,b30996,b30997,b30998,b30999,b31000,b31001,b31002,b31003,b31004
          ,b31005,b31006,b31007,b31008,b31009,b31010,b31011,b31012,b31013
          ,b31014,b31015,b31016,b31017,b31018,b31019,b31020,b31021,b31022
          ,b31023,b31024,b31025,b31026,b31027,b31028,b31029,b31030,b31031
          ,b31032,b31033,b31034,b31035,b31036,b31037,b31038,b31039,b31040
          ,b31041,b31042,b31043,b31044,b31045,b31046,b31047,b31048,b31049
          ,b31050,b31051,b31052,b31053,b31054,b31055,b31056,b31057,b31058
          ,b31059,b31060,b31061,b31062,b31063,b31064,b31065,b31066,b31067
          ,b31068,b31069,b31070,b31071,b31072,b31073,b31074,b31075,b31076
          ,b31077,b31078,b31079,b31080,b31081,b31082,b31083,b31084,b31085
          ,b31086,b31087,b31088,b31089,b31090,b31091,b31092,b31093,b31094
          ,b31095,b31096,b31097,b31098,b31099,b31100,b31101,b31102,b31103
          ,b31104,b31105,b31106,b31107,b31108,b31109,b31110,b31111,b31112
          ,b31113,b31114,b31115,b31116,b31117,b31118,b31119,b31120,b31121
          ,b31122,b31123,b31124,b31125,b31126,b31127,b31128,b31129,b31130
          ,b31131,b31132,b31133,b31134,b31135,b31136,b31137,b31138,b31139
          ,b31140,b31141,b31142,b31143,b31144,b31145,b31146,b31147,b31148
          ,b31149,b31150,b31151,b31152,b31153,b31154,b31155,b31156,b31157
          ,b31158,b31159,b31160,b31161,b31162,b31163,b31164,b31165,b31166
          ,b31167,b31168,b31169,b31170,b31171,b31172,b31173,b31174,b31175
          ,b31176,b31177,b31178,b31179,b31180,b31181,b31182,b31183,b31184
          ,b31185,b31186,b31187,b31188,b31189,b31190,b31191,b31192,b31193
          ,b31194,b31195,b31196,b31197,b31198,b31199,b31200,b31201,b31202
          ,b31203,b31204,b31205,b31206,b31207,b31208,b31209,b31210,b31211
          ,b31212,b31213,b31214,b31215,b31216,b31217,b31218,b31219,b31220
          ,b31221,b31222,b31223,b31224,b31225,b31226,b31227,b31228,b31229
          ,b31230,b31231,b31232,b31233,b31234,b31235,b31236,b31237,b31238
          ,b31239,b31240,b31241,b31242,b31243,b31244,b31245,b31246,b31247
          ,b31248,b31249,b31250,b31251,b31252,b31253,b31254,b31255,b31256
          ,b31257,b31258,b31259,b31260,b31261,b31262,b31263,b31264,b31265
          ,b31266,b31267,b31268,b31269,b31270,b31271,b31272,b31273,b31274
          ,b31275,b31276,b31277,b31278,b31279,b31280,b31281,b31282,b31283
          ,b31284,b31285,b31286,b31287,b31288,b31289,b31290,b31291,b31292
          ,b31293,b31294,b31295,b31296,b31297,b31298,b31299,b31300,b31301
          ,b31302,b31303,b31304,b31305,b31306,b31307,b31308,b31309,b31310
          ,b31311,b31312,b31313,b31314,b31315,b31316,b31317,b31318,b31319
          ,b31320,b31321,b31322,b31323,b31324,b31325,b31326,b31327,b31328
          ,b31329,b31330,b31331,b31332,b31333,b31334,b31335,b31336,b31337
          ,b31338,b31339,b31340,b31341,b31342,b31343,b31344,b31345,b31346
          ,b31347,b31348,b31349,b31350,b31351,b31352,b31353,b31354,b31355
          ,b31356,b31357,b31358,b31359,b31360,b31361,b31362,b31363,b31364
          ,b31365,b31366,b31367,b31368,b31369,b31370,b31371,b31372,b31373
          ,b31374,b31375,b31376,b31377,b31378,b31379,b31380,b31381,b31382
          ,b31383,b31384,b31385,b31386,b31387,b31388,b31389,b31390,b31391
          ,b31392,b31393,b31394,b31395,b31396,b31397,b31398,b31399,b31400
          ,b31401,b31402,b31403,b31404,b31405,b31406,b31407,b31408,b31409
          ,b31410,b31411,b31412,b31413,b31414,b31415,b31416,b31417,b31418
          ,b31419,b31420,b31421,b31422,b31423,b31424,b31425,b31426,b31427
          ,b31428,b31429,b31430,b31431,b31432,b31433,b31434,b31435,b31436
          ,b31437,b31438,b31439,b31440,b31441,b31442,b31443,b31444,b31445
          ,b31446,b31447,b31448,b31449,b31450,b31451,b31452,b31453,b31454
          ,b31455,b31456,b31457,b31458,b31459,b31460,b31461,b31462,b31463
          ,b31464,b31465,b31466,b31467,b31468,b31469,b31470,b31471,b31472
          ,b31473,b31474,b31475,b31476,b31477,b31478,b31479,b31480,b31481
          ,b31482,b31483,b31484,b31485,b31486,b31487,b31488,b31489,b31490
          ,b31491,b31492,b31493,b31494,b31495,b31496,b31497,b31498,b31499
          ,b31500,b31501,b31502,b31503,b31504,b31505,b31506,b31507,b31508
          ,b31509,b31510,b31511,b31512,b31513,b31514,b31515,b31516,b31517
          ,b31518,b31519,b31520,b31521,b31522,b31523,b31524,b31525,b31526
          ,b31527,b31528,b31529,b31530,b31531,b31532,b31533,b31534,b31535
          ,b31536,b31537,b31538,b31539,b31540,b31541,b31542,b31543,b31544
          ,b31545,b31546,b31547,b31548,b31549,b31550,b31551,b31552,b31553
          ,b31554,b31555,b31556,b31557,b31558,b31559,b31560,b31561,b31562
          ,b31563,b31564,b31565,b31566,b31567,b31568,b31569,b31570,b31571
          ,b31572,b31573,b31574,b31575,b31576,b31577,b31578,b31579,b31580
          ,b31581,b31582,b31583,b31584,b31585,b31586,b31587,b31588,b31589
          ,b31590,b31591,b31592,b31593,b31594,b31595,b31596,b31597,b31598
          ,b31599,b31600,b31601,b31602,b31603,b31604,b31605,b31606,b31607
          ,b31608,b31609,b31610,b31611,b31612,b31613,b31614,b31615,b31616
          ,b31617,b31618,b31619,b31620,b31621,b31622,b31623,b31624,b31625
          ,b31626,b31627,b31628,b31629,b31630,b31631,b31632,b31633,b31634
          ,b31635,b31636,b31637,b31638,b31639,b31640,b31641,b31642,b31643
          ,b31644,b31645,b31646,b31647,b31648,b31649,b31650,b31651,b31652
          ,b31653,b31654,b31655,b31656,b31657,b31658,b31659,b31660,b31661
          ,b31662,b31663,b31664,b31665,b31666,b31667,b31668,b31669,b31670
          ,b31671,b31672,b31673,b31674,b31675,b31676,b31677,b31678,b31679
          ,b31680,b31681,b31682,b31683,b31684,b31685,b31686,b31687,b31688
          ,b31689,b31690,b31691,b31692,b31693,b31694,b31695,b31696,b31697
          ,b31698,b31699,b31700,b31701,b31702,b31703,b31704,b31705,b31706
          ,b31707,b31708,b31709,b31710,b31711,b31712,b31713,b31714,b31715
          ,b31716,b31717,b31718,b31719,b31720,b31721,b31722,b31723,b31724
          ,b31725,b31726,b31727,b31728,b31729,b31730,b31731,b31732,b31733
          ,b31734,b31735,b31736,b31737,b31738,b31739,b31740,b31741,b31742
          ,b31743,b31744,b31745,b31746,b31747,b31748,b31749,b31750,b31751
          ,b31752,b31753,b31754,b31755,b31756,b31757,b31758,b31759,b31760
          ,b31761,b31762,b31763,b31764,b31765,b31766,b31767,b31768,b31769
          ,b31770,b31771,b31772,b31773,b31774,b31775,b31776,b31777,b31778
          ,b31779,b31780,b31781,b31782,b31783,b31784,b31785,b31786,b31787
          ,b31788,b31789,b31790,b31791,b31792,b31793,b31794,b31795,b31796
          ,b31797,b31798,b31799,b31800,b31801,b31802,b31803,b31804,b31805
          ,b31806,b31807,b31808,b31809,b31810,b31811,b31812,b31813,b31814
          ,b31815,b31816,b31817,b31818,b31819,b31820,b31821,b31822,b31823
          ,b31824,b31825,b31826,b31827,b31828,b31829,b31830,b31831,b31832
          ,b31833,b31834,b31835,b31836,b31837,b31838,b31839,b31840,b31841
          ,b31842,b31843,b31844,b31845,b31846,b31847,b31848,b31849,b31850
          ,b31851,b31852,b31853,b31854,b31855,b31856,b31857,b31858,b31859
          ,b31860,b31861,b31862,b31863,b31864,b31865,b31866,b31867,b31868
          ,b31869,b31870,b31871,b31872,b31873,b31874,b31875,b31876,b31877
          ,b31878,b31879,b31880,b31881,b31882,b31883,b31884,b31885,b31886
          ,b31887,b31888,b31889,b31890,b31891,b31892,b31893,b31894,b31895
          ,b31896,b31897,b31898,b31899,b31900,b31901,b31902,b31903,b31904
          ,b31905,b31906,b31907,b31908,b31909,b31910,b31911,b31912,b31913
          ,b31914,b31915,b31916,b31917,b31918,b31919,b31920,b31921,b31922
          ,b31923,b31924,b31925,b31926,objvar;

Positive Variables  x23869,x23870,x23871,x23872,x23873,x23874,x23875,x23876
          ,x23877,x23878,x23879,x23880,x23881,x23882,x23883,x23884,x23885
          ,x23886,x23887,x23888,x23889,x23890,x23891,x23892,x23893,x23894
          ,x23895,x23896,x23897,x23898,x23899,x23900,x23901,x23902,x23903
          ,x23904,x23905,x23906,x23907,x23908,x23909,x23910,x23911,x23912
          ,x23913,x23914,x23915,x23916,x23917,x23918,x23919,x23920,x23921
          ,x23922,x23923,x23924,x23925,x23926,x23927,x23928,x23929,x23930
          ,x23931,x23932,x23933,x23934,x23935,x23936,x23937,x23938,x23939
          ,x23940,x23941,x23942,x23943,x23944,x23945,x23946,x23947,x23948
          ,x23949,x23950,x23951,x23952,x23953,x23954,x23955,x23956,x23957
          ,x23958,x23959,x23960,x23961,x23962,x23963,x23964,x23965,x23966
          ,x23967,x23968,x23969,x23970;

Binary Variables  b1,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,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413
          ,b414,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426
          ,b427,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439
          ,b440,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452
          ,b453,b454,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465
          ,b466,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478
          ,b479,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491
          ,b492,b493,b494,b495,b496,b497,b498,b499,b500,b501,b502,b503,b504
          ,b505,b506,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517
          ,b518,b519,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529,b530
          ,b531,b532,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543
          ,b544,b545,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556
          ,b557,b558,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569
          ,b570,b571,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581,b582
          ,b583,b584,b585,b586,b587,b588,b589,b590,b591,b592,b593,b594,b595
          ,b596,b597,b598,b599,b600,b601,b602,b603,b604,b605,b606,b607,b608
          ,b609,b610,b611,b612,b613,b614,b615,b616,b617,b618,b619,b620,b621
          ,b622,b623,b624,b625,b626,b627,b628,b629,b630,b631,b632,b633,b634
          ,b635,b636,b637,b638,b639,b640,b641,b642,b643,b644,b645,b646,b647
          ,b648,b649,b650,b651,b652,b653,b654,b655,b656,b657,b658,b659,b660
          ,b661,b662,b663,b664,b665,b666,b667,b668,b669,b670,b671,b672,b673
          ,b674,b675,b676,b677,b678,b679,b680,b681,b682,b683,b684,b685,b686
          ,b687,b688,b689,b690,b691,b692,b693,b694,b695,b696,b697,b698,b699
          ,b700,b701,b702,b703,b704,b705,b706,b707,b708,b709,b710,b711,b712
          ,b713,b714,b715,b716,b717,b718,b719,b720,b721,b722,b723,b724,b725
          ,b726,b727,b728,b729,b730,b731,b732,b733,b734,b735,b736,b737,b738
          ,b739,b740,b741,b742,b743,b744,b745,b746,b747,b748,b749,b750,b751
          ,b752,b753,b754,b755,b756,b757,b758,b759,b760,b761,b762,b763,b764
          ,b765,b766,b767,b768,b769,b770,b771,b772,b773,b774,b775,b776,b777
          ,b778,b779,b780,b781,b782,b783,b784,b785,b786,b787,b788,b789,b790
          ,b791,b792,b793,b794,b795,b796,b797,b798,b799,b800,b801,b802,b803
          ,b804,b805,b806,b807,b808,b809,b810,b811,b812,b813,b814,b815,b816
          ,b817,b818,b819,b820,b821,b822,b823,b824,b825,b826,b827,b828,b829
          ,b830,b831,b832,b833,b834,b835,b836,b837,b838,b839,b840,b841,b842
          ,b843,b844,b845,b846,b847,b848,b849,b850,b851,b852,b853,b854,b855
          ,b856,b857,b858,b859,b860,b861,b862,b863,b864,b865,b866,b867,b868
          ,b869,b870,b871,b872,b873,b874,b875,b876,b877,b878,b879,b880,b881
          ,b882,b883,b884,b885,b886,b887,b888,b889,b890,b891,b892,b893,b894
          ,b895,b896,b897,b898,b899,b900,b901,b902,b903,b904,b905,b906,b907
          ,b908,b909,b910,b911,b912,b913,b914,b915,b916,b917,b918,b919,b920
          ,b921,b922,b923,b924,b925,b926,b927,b928,b929,b930,b931,b932,b933
          ,b934,b935,b936,b937,b938,b939,b940,b941,b942,b943,b944,b945,b946
          ,b947,b948,b949,b950,b951,b952,b953,b954,b955,b956,b957,b958,b959
          ,b960,b961,b962,b963,b964,b965,b966,b967,b968,b969,b970,b971,b972
          ,b973,b974,b975,b976,b977,b978,b979,b980,b981,b982,b983,b984,b985
          ,b986,b987,b988,b989,b990,b991,b992,b993,b994,b995,b996,b997,b998
          ,b999,b1000,b1001,b1002,b1003,b1004,b1005,b1006,b1007,b1008,b1009
          ,b1010,b1011,b1012,b1013,b1014,b1015,b1016,b1017,b1018,b1019,b1020
          ,b1021,b1022,b1023,b1024,b1025,b1026,b1027,b1028,b1029,b1030,b1031
          ,b1032,b1033,b1034,b1035,b1036,b1037,b1038,b1039,b1040,b1041,b1042
          ,b1043,b1044,b1045,b1046,b1047,b1048,b1049,b1050,b1051,b1052,b1053
          ,b1054,b1055,b1056,b1057,b1058,b1059,b1060,b1061,b1062,b1063,b1064
          ,b1065,b1066,b1067,b1068,b1069,b1070,b1071,b1072,b1073,b1074,b1075
          ,b1076,b1077,b1078,b1079,b1080,b1081,b1082,b1083,b1084,b1085,b1086
          ,b1087,b1088,b1089,b1090,b1091,b1092,b1093,b1094,b1095,b1096,b1097
          ,b1098,b1099,b1100,b1101,b1102,b1103,b1104,b1105,b1106,b1107,b1108
          ,b1109,b1110,b1111,b1112,b1113,b1114,b1115,b1116,b1117,b1118,b1119
          ,b1120,b1121,b1122,b1123,b1124,b1125,b1126,b1127,b1128,b1129,b1130
          ,b1131,b1132,b1133,b1134,b1135,b1136,b1137,b1138,b1139,b1140,b1141
          ,b1142,b1143,b1144,b1145,b1146,b1147,b1148,b1149,b1150,b1151,b1152
          ,b1153,b1154,b1155,b1156,b1157,b1158,b1159,b1160,b1161,b1162,b1163
          ,b1164,b1165,b1166,b1167,b1168,b1169,b1170,b1171,b1172,b1173,b1174
          ,b1175,b1176,b1177,b1178,b1179,b1180,b1181,b1182,b1183,b1184,b1185
          ,b1186,b1187,b1188,b1189,b1190,b1191,b1192,b1193,b1194,b1195,b1196
          ,b1197,b1198,b1199,b1200,b1201,b1202,b1203,b1204,b1205,b1206,b1207
          ,b1208,b1209,b1210,b1211,b1212,b1213,b1214,b1215,b1216,b1217,b1218
          ,b1219,b1220,b1221,b1222,b1223,b1224,b1225,b1226,b1227,b1228,b1229
          ,b1230,b1231,b1232,b1233,b1234,b1235,b1236,b1237,b1238,b1239,b1240
          ,b1241,b1242,b1243,b1244,b1245,b1246,b1247,b1248,b1249,b1250,b1251
          ,b1252,b1253,b1254,b1255,b1256,b1257,b1258,b1259,b1260,b1261,b1262
          ,b1263,b1264,b1265,b1266,b1267,b1268,b1269,b1270,b1271,b1272,b1273
          ,b1274,b1275,b1276,b1277,b1278,b1279,b1280,b1281,b1282,b1283,b1284
          ,b1285,b1286,b1287,b1288,b1289,b1290,b1291,b1292,b1293,b1294,b1295
          ,b1296,b1297,b1298,b1299,b1300,b1301,b1302,b1303,b1304,b1305,b1306
          ,b1307,b1308,b1309,b1310,b1311,b1312,b1313,b1314,b1315,b1316,b1317
          ,b1318,b1319,b1320,b1321,b1322,b1323,b1324,b1325,b1326,b1327,b1328
          ,b1329,b1330,b1331,b1332,b1333,b1334,b1335,b1336,b1337,b1338,b1339
          ,b1340,b1341,b1342,b1343,b1344,b1345,b1346,b1347,b1348,b1349,b1350
          ,b1351,b1352,b1353,b1354,b1355,b1356,b1357,b1358,b1359,b1360,b1361
          ,b1362,b1363,b1364,b1365,b1366,b1367,b1368,b1369,b1370,b1371,b1372
          ,b1373,b1374,b1375,b1376,b1377,b1378,b1379,b1380,b1381,b1382,b1383
          ,b1384,b1385,b1386,b1387,b1388,b1389,b1390,b1391,b1392,b1393,b1394
          ,b1395,b1396,b1397,b1398,b1399,b1400,b1401,b1402,b1403,b1404,b1405
          ,b1406,b1407,b1408,b1409,b1410,b1411,b1412,b1413,b1414,b1415,b1416
          ,b1417,b1418,b1419,b1420,b1421,b1422,b1423,b1424,b1425,b1426,b1427
          ,b1428,b1429,b1430,b1431,b1432,b1433,b1434,b1435,b1436,b1437,b1438
          ,b1439,b1440,b1441,b1442,b1443,b1444,b1445,b1446,b1447,b1448,b1449
          ,b1450,b1451,b1452,b1453,b1454,b1455,b1456,b1457,b1458,b1459,b1460
          ,b1461,b1462,b1463,b1464,b1465,b1466,b1467,b1468,b1469,b1470,b1471
          ,b1472,b1473,b1474,b1475,b1476,b1477,b1478,b1479,b1480,b1481,b1482
          ,b1483,b1484,b1485,b1486,b1487,b1488,b1489,b1490,b1491,b1492,b1493
          ,b1494,b1495,b1496,b1497,b1498,b1499,b1500,b1501,b1502,b1503,b1504
          ,b1505,b1506,b1507,b1508,b1509,b1510,b1511,b1512,b1513,b1514,b1515
          ,b1516,b1517,b1518,b1519,b1520,b1521,b1522,b1523,b1524,b1525,b1526
          ,b1527,b1528,b1529,b1530,b1531,b1532,b1533,b1534,b1535,b1536,b1537
          ,b1538,b1539,b1540,b1541,b1542,b1543,b1544,b1545,b1546,b1547,b1548
          ,b1549,b1550,b1551,b1552,b1553,b1554,b1555,b1556,b1557,b1558,b1559
          ,b1560,b1561,b1562,b1563,b1564,b1565,b1566,b1567,b1568,b1569,b1570
          ,b1571,b1572,b1573,b1574,b1575,b1576,b1577,b1578,b1579,b1580,b1581
          ,b1582,b1583,b1584,b1585,b1586,b1587,b1588,b1589,b1590,b1591,b1592
          ,b1593,b1594,b1595,b1596,b1597,b1598,b1599,b1600,b1601,b1602,b1603
          ,b1604,b1605,b1606,b1607,b1608,b1609,b1610,b1611,b1612,b1613,b1614
          ,b1615,b1616,b1617,b1618,b1619,b1620,b1621,b1622,b1623,b1624,b1625
          ,b1626,b1627,b1628,b1629,b1630,b1631,b1632,b1633,b1634,b1635,b1636
          ,b1637,b1638,b1639,b1640,b1641,b1642,b1643,b1644,b1645,b1646,b1647
          ,b1648,b1649,b1650,b1651,b1652,b1653,b1654,b1655,b1656,b1657,b1658
          ,b1659,b1660,b1661,b1662,b1663,b1664,b1665,b1666,b1667,b1668,b1669
          ,b1670,b1671,b1672,b1673,b1674,b1675,b1676,b1677,b1678,b1679,b1680
          ,b1681,b1682,b1683,b1684,b1685,b1686,b1687,b1688,b1689,b1690,b1691
          ,b1692,b1693,b1694,b1695,b1696,b1697,b1698,b1699,b1700,b1701,b1702
          ,b1703,b1704,b1705,b1706,b1707,b1708,b1709,b1710,b1711,b1712,b1713
          ,b1714,b1715,b1716,b1717,b1718,b1719,b1720,b1721,b1722,b1723,b1724
          ,b1725,b1726,b1727,b1728,b1729,b1730,b1731,b1732,b1733,b1734,b1735
          ,b1736,b1737,b1738,b1739,b1740,b1741,b1742,b1743,b1744,b1745,b1746
          ,b1747,b1748,b1749,b1750,b1751,b1752,b1753,b1754,b1755,b1756,b1757
          ,b1758,b1759,b1760,b1761,b1762,b1763,b1764,b1765,b1766,b1767,b1768
          ,b1769,b1770,b1771,b1772,b1773,b1774,b1775,b1776,b1777,b1778,b1779
          ,b1780,b1781,b1782,b1783,b1784,b1785,b1786,b1787,b1788,b1789,b1790
          ,b1791,b1792,b1793,b1794,b1795,b1796,b1797,b1798,b1799,b1800,b1801
          ,b1802,b1803,b1804,b1805,b1806,b1807,b1808,b1809,b1810,b1811,b1812
          ,b1813,b1814,b1815,b1816,b1817,b1818,b1819,b1820,b1821,b1822,b1823
          ,b1824,b1825,b1826,b1827,b1828,b1829,b1830,b1831,b1832,b1833,b1834
          ,b1835,b1836,b1837,b1838,b1839,b1840,b1841,b1842,b1843,b1844,b1845
          ,b1846,b1847,b1848,b1849,b1850,b1851,b1852,b1853,b1854,b1855,b1856
          ,b1857,b1858,b1859,b1860,b1861,b1862,b1863,b1864,b1865,b1866,b1867
          ,b1868,b1869,b1870,b1871,b1872,b1873,b1874,b1875,b1876,b1877,b1878
          ,b1879,b1880,b1881,b1882,b1883,b1884,b1885,b1886,b1887,b1888,b1889
          ,b1890,b1891,b1892,b1893,b1894,b1895,b1896,b1897,b1898,b1899,b1900
          ,b1901,b1902,b1903,b1904,b1905,b1906,b1907,b1908,b1909,b1910,b1911
          ,b1912,b1913,b1914,b1915,b1916,b1917,b1918,b1919,b1920,b1921,b1922
          ,b1923,b1924,b1925,b1926,b1927,b1928,b1929,b1930,b1931,b1932,b1933
          ,b1934,b1935,b1936,b1937,b1938,b1939,b1940,b1941,b1942,b1943,b1944
          ,b1945,b1946,b1947,b1948,b1949,b1950,b1951,b1952,b1953,b1954,b1955
          ,b1956,b1957,b1958,b1959,b1960,b1961,b1962,b1963,b1964,b1965,b1966
          ,b1967,b1968,b1969,b1970,b1971,b1972,b1973,b1974,b1975,b1976,b1977
          ,b1978,b1979,b1980,b1981,b1982,b1983,b1984,b1985,b1986,b1987,b1988
          ,b1989,b1990,b1991,b1992,b1993,b1994,b1995,b1996,b1997,b1998,b1999
          ,b2000,b2001,b2002,b2003,b2004,b2005,b2006,b2007,b2008,b2009,b2010
          ,b2011,b2012,b2013,b2014,b2015,b2016,b2017,b2018,b2019,b2020,b2021
          ,b2022,b2023,b2024,b2025,b2026,b2027,b2028,b2029,b2030,b2031,b2032
          ,b2033,b2034,b2035,b2036,b2037,b2038,b2039,b2040,b2041,b2042,b2043
          ,b2044,b2045,b2046,b2047,b2048,b2049,b2050,b2051,b2052,b2053,b2054
          ,b2055,b2056,b2057,b2058,b2059,b2060,b2061,b2062,b2063,b2064,b2065
          ,b2066,b2067,b2068,b2069,b2070,b2071,b2072,b2073,b2074,b2075,b2076
          ,b2077,b2078,b2079,b2080,b2081,b2082,b2083,b2084,b2085,b2086,b2087
          ,b2088,b2089,b2090,b2091,b2092,b2093,b2094,b2095,b2096,b2097,b2098
          ,b2099,b2100,b2101,b2102,b2103,b2104,b2105,b2106,b2107,b2108,b2109
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          ,b30350,b30351,b30352,b30353,b30354,b30355,b30356,b30357,b30358
          ,b30359,b30360,b30361,b30362,b30363,b30364,b30365,b30366,b30367
          ,b30368,b30369,b30370,b30371,b30372,b30373,b30374,b30375,b30376
          ,b30377,b30378,b30379,b30380,b30381,b30382,b30383,b30384,b30385
          ,b30386,b30387,b30388,b30389,b30390,b30391,b30392,b30393,b30394
          ,b30395,b30396,b30397,b30398,b30399,b30400,b30401,b30402,b30403
          ,b30404,b30405,b30406,b30407,b30408,b30409,b30410,b30411,b30412
          ,b30413,b30414,b30415,b30416,b30417,b30418,b30419,b30420,b30421
          ,b30422,b30423,b30424,b30425,b30426,b30427,b30428,b30429,b30430
          ,b30431,b30432,b30433,b30434,b30435,b30436,b30437,b30438,b30439
          ,b30440,b30441,b30442,b30443,b30444,b30445,b30446,b30447,b30448
          ,b30449,b30450,b30451,b30452,b30453,b30454,b30455,b30456,b30457
          ,b30458,b30459,b30460,b30461,b30462,b30463,b30464,b30465,b30466
          ,b30467,b30468,b30469,b30470,b30471,b30472,b30473,b30474,b30475
          ,b30476,b30477,b30478,b30479,b30480,b30481,b30482,b30483,b30484
          ,b30485,b30486,b30487,b30488,b30489,b30490,b30491,b30492,b30493
          ,b30494,b30495,b30496,b30497,b30498,b30499,b30500,b30501,b30502
          ,b30503,b30504,b30505,b30506,b30507,b30508,b30509,b30510,b30511
          ,b30512,b30513,b30514,b30515,b30516,b30517,b30518,b30519,b30520
          ,b30521,b30522,b30523,b30524,b30525,b30526,b30527,b30528,b30529
          ,b30530,b30531,b30532,b30533,b30534,b30535,b30536,b30537,b30538
          ,b30539,b30540,b30541,b30542,b30543,b30544,b30545,b30546,b30547
          ,b30548,b30549,b30550,b30551,b30552,b30553,b30554,b30555,b30556
          ,b30557,b30558,b30559,b30560,b30561,b30562,b30563,b30564,b30565
          ,b30566,b30567,b30568,b30569,b30570,b30571,b30572,b30573,b30574
          ,b30575,b30576,b30577,b30578,b30579,b30580,b30581,b30582,b30583
          ,b30584,b30585,b30586,b30587,b30588,b30589,b30590,b30591,b30592
          ,b30593,b30594,b30595,b30596,b30597,b30598,b30599,b30600,b30601
          ,b30602,b30603,b30604,b30605,b30606,b30607,b30608,b30609,b30610
          ,b30611,b30612,b30613,b30614,b30615,b30616,b30617,b30618,b30619
          ,b30620,b30621,b30622,b30623,b30624,b30625,b30626,b30627,b30628
          ,b30629,b30630,b30631,b30632,b30633,b30634,b30635,b30636,b30637
          ,b30638,b30639,b30640,b30641,b30642,b30643,b30644,b30645,b30646
          ,b30647,b30648,b30649,b30650,b30651,b30652,b30653,b30654,b30655
          ,b30656,b30657,b30658,b30659,b30660,b30661,b30662,b30663,b30664
          ,b30665,b30666,b30667,b30668,b30669,b30670,b30671,b30672,b30673
          ,b30674,b30675,b30676,b30677,b30678,b30679,b30680,b30681,b30682
          ,b30683,b30684,b30685,b30686,b30687,b30688,b30689,b30690,b30691
          ,b30692,b30693,b30694,b30695,b30696,b30697,b30698,b30699,b30700
          ,b30701,b30702,b30703,b30704,b30705,b30706,b30707,b30708,b30709
          ,b30710,b30711,b30712,b30713,b30714,b30715,b30716,b30717,b30718
          ,b30719,b30720,b30721,b30722,b30723,b30724,b30725,b30726,b30727
          ,b30728,b30729,b30730,b30731,b30732,b30733,b30734,b30735,b30736
          ,b30737,b30738,b30739,b30740,b30741,b30742,b30743,b30744,b30745
          ,b30746,b30747,b30748,b30749,b30750,b30751,b30752,b30753,b30754
          ,b30755,b30756,b30757,b30758,b30759,b30760,b30761,b30762,b30763
          ,b30764,b30765,b30766,b30767,b30768,b30769,b30770,b30771,b30772
          ,b30773,b30774,b30775,b30776,b30777,b30778,b30779,b30780,b30781
          ,b30782,b30783,b30784,b30785,b30786,b30787,b30788,b30789,b30790
          ,b30791,b30792,b30793,b30794,b30795,b30796,b30797,b30798,b30799
          ,b30800,b30801,b30802,b30803,b30804,b30805,b30806,b30807,b30808
          ,b30809,b30810,b30811,b30812,b30813,b30814,b30815,b30816,b30817
          ,b30818,b30819,b30820,b30821,b30822,b30823,b30824,b30825,b30826
          ,b30827,b30828,b30829,b30830,b30831,b30832,b30833,b30834,b30835
          ,b30836,b30837,b30838,b30839,b30840,b30841,b30842,b30843,b30844
          ,b30845,b30846,b30847,b30848,b30849,b30850,b30851,b30852,b30853
          ,b30854,b30855,b30856,b30857,b30858,b30859,b30860,b30861,b30862
          ,b30863,b30864,b30865,b30866,b30867,b30868,b30869,b30870,b30871
          ,b30872,b30873,b30874,b30875,b30876,b30877,b30878,b30879,b30880
          ,b30881,b30882,b30883,b30884,b30885,b30886,b30887,b30888,b30889
          ,b30890,b30891,b30892,b30893,b30894,b30895,b30896,b30897,b30898
          ,b30899,b30900,b30901,b30902,b30903,b30904,b30905,b30906,b30907
          ,b30908,b30909,b30910,b30911,b30912,b30913,b30914,b30915,b30916
          ,b30917,b30918,b30919,b30920,b30921,b30922,b30923,b30924,b30925
          ,b30926,b30927,b30928,b30929,b30930,b30931,b30932,b30933,b30934
          ,b30935,b30936,b30937,b30938,b30939,b30940,b30941,b30942,b30943
          ,b30944,b30945,b30946,b30947,b30948,b30949,b30950,b30951,b30952
          ,b30953,b30954,b30955,b30956,b30957,b30958,b30959,b30960,b30961
          ,b30962,b30963,b30964,b30965,b30966,b30967,b30968,b30969,b30970
          ,b30971,b30972,b30973,b30974,b30975,b30976,b30977,b30978,b30979
          ,b30980,b30981,b30982,b30983,b30984,b30985,b30986,b30987,b30988
          ,b30989,b30990,b30991,b30992,b30993,b30994,b30995,b30996,b30997
          ,b30998,b30999,b31000,b31001,b31002,b31003,b31004,b31005,b31006
          ,b31007,b31008,b31009,b31010,b31011,b31012,b31013,b31014,b31015
          ,b31016,b31017,b31018,b31019,b31020,b31021,b31022,b31023,b31024
          ,b31025,b31026,b31027,b31028,b31029,b31030,b31031,b31032,b31033
          ,b31034,b31035,b31036,b31037,b31038,b31039,b31040,b31041,b31042
          ,b31043,b31044,b31045,b31046,b31047,b31048,b31049,b31050,b31051
          ,b31052,b31053,b31054,b31055,b31056,b31057,b31058,b31059,b31060
          ,b31061,b31062,b31063,b31064,b31065,b31066,b31067,b31068,b31069
          ,b31070,b31071,b31072,b31073,b31074,b31075,b31076,b31077,b31078
          ,b31079,b31080,b31081,b31082,b31083,b31084,b31085,b31086,b31087
          ,b31088,b31089,b31090,b31091,b31092,b31093,b31094,b31095,b31096
          ,b31097,b31098,b31099,b31100,b31101,b31102,b31103,b31104,b31105
          ,b31106,b31107,b31108,b31109,b31110,b31111,b31112,b31113,b31114
          ,b31115,b31116,b31117,b31118,b31119,b31120,b31121,b31122,b31123
          ,b31124,b31125,b31126,b31127,b31128,b31129,b31130,b31131,b31132
          ,b31133,b31134,b31135,b31136,b31137,b31138,b31139,b31140,b31141
          ,b31142,b31143,b31144,b31145,b31146,b31147,b31148,b31149,b31150
          ,b31151,b31152,b31153,b31154,b31155,b31156,b31157,b31158,b31159
          ,b31160,b31161,b31162,b31163,b31164,b31165,b31166,b31167,b31168
          ,b31169,b31170,b31171,b31172,b31173,b31174,b31175,b31176,b31177
          ,b31178,b31179,b31180,b31181,b31182,b31183,b31184,b31185,b31186
          ,b31187,b31188,b31189,b31190,b31191,b31192,b31193,b31194,b31195
          ,b31196,b31197,b31198,b31199,b31200,b31201,b31202,b31203,b31204
          ,b31205,b31206,b31207,b31208,b31209,b31210,b31211,b31212,b31213
          ,b31214,b31215,b31216,b31217,b31218,b31219,b31220,b31221,b31222
          ,b31223,b31224,b31225,b31226,b31227,b31228,b31229,b31230,b31231
          ,b31232,b31233,b31234,b31235,b31236,b31237,b31238,b31239,b31240
          ,b31241,b31242,b31243,b31244,b31245,b31246,b31247,b31248,b31249
          ,b31250,b31251,b31252,b31253,b31254,b31255,b31256,b31257,b31258
          ,b31259,b31260,b31261,b31262,b31263,b31264,b31265,b31266,b31267
          ,b31268,b31269,b31270,b31271,b31272,b31273,b31274,b31275,b31276
          ,b31277,b31278,b31279,b31280,b31281,b31282,b31283,b31284,b31285
          ,b31286,b31287,b31288,b31289,b31290,b31291,b31292,b31293,b31294
          ,b31295,b31296,b31297,b31298,b31299,b31300,b31301,b31302,b31303
          ,b31304,b31305,b31306,b31307,b31308,b31309,b31310,b31311,b31312
          ,b31313,b31314,b31315,b31316,b31317,b31318,b31319,b31320,b31321
          ,b31322,b31323,b31324,b31325,b31326,b31327,b31328,b31329,b31330
          ,b31331,b31332,b31333,b31334,b31335,b31336,b31337,b31338,b31339
          ,b31340,b31341,b31342,b31343,b31344,b31345,b31346,b31347,b31348
          ,b31349,b31350,b31351,b31352,b31353,b31354,b31355,b31356,b31357
          ,b31358,b31359,b31360,b31361,b31362,b31363,b31364,b31365,b31366
          ,b31367,b31368,b31369,b31370,b31371,b31372,b31373,b31374,b31375
          ,b31376,b31377,b31378,b31379,b31380,b31381,b31382,b31383,b31384
          ,b31385,b31386,b31387,b31388,b31389,b31390,b31391,b31392,b31393
          ,b31394,b31395,b31396,b31397,b31398,b31399,b31400,b31401,b31402
          ,b31403,b31404,b31405,b31406,b31407,b31408,b31409,b31410,b31411
          ,b31412,b31413,b31414,b31415,b31416,b31417,b31418,b31419,b31420
          ,b31421,b31422,b31423,b31424,b31425,b31426,b31427,b31428,b31429
          ,b31430,b31431,b31432,b31433,b31434,b31435,b31436,b31437,b31438
          ,b31439,b31440,b31441,b31442,b31443,b31444,b31445,b31446,b31447
          ,b31448,b31449,b31450,b31451,b31452,b31453,b31454,b31455,b31456
          ,b31457,b31458,b31459,b31460,b31461,b31462,b31463,b31464,b31465
          ,b31466,b31467,b31468,b31469,b31470,b31471,b31472,b31473,b31474
          ,b31475,b31476,b31477,b31478,b31479,b31480,b31481,b31482,b31483
          ,b31484,b31485,b31486,b31487,b31488,b31489,b31490,b31491,b31492
          ,b31493,b31494,b31495,b31496,b31497,b31498,b31499,b31500,b31501
          ,b31502,b31503,b31504,b31505,b31506,b31507,b31508,b31509,b31510
          ,b31511,b31512,b31513,b31514,b31515,b31516,b31517,b31518,b31519
          ,b31520,b31521,b31522,b31523,b31524,b31525,b31526,b31527,b31528
          ,b31529,b31530,b31531,b31532,b31533,b31534,b31535,b31536,b31537
          ,b31538,b31539,b31540,b31541,b31542,b31543,b31544,b31545,b31546
          ,b31547,b31548,b31549,b31550,b31551,b31552,b31553,b31554,b31555
          ,b31556,b31557,b31558,b31559,b31560,b31561,b31562,b31563,b31564
          ,b31565,b31566,b31567,b31568,b31569,b31570,b31571,b31572,b31573
          ,b31574,b31575,b31576,b31577,b31578,b31579,b31580,b31581,b31582
          ,b31583,b31584,b31585,b31586,b31587,b31588,b31589,b31590,b31591
          ,b31592,b31593,b31594,b31595,b31596,b31597,b31598,b31599,b31600
          ,b31601,b31602,b31603,b31604,b31605,b31606,b31607,b31608,b31609
          ,b31610,b31611,b31612,b31613,b31614,b31615,b31616,b31617,b31618
          ,b31619,b31620,b31621,b31622,b31623,b31624,b31625,b31626,b31627
          ,b31628,b31629,b31630,b31631,b31632,b31633,b31634,b31635,b31636
          ,b31637,b31638,b31639,b31640,b31641,b31642,b31643,b31644,b31645
          ,b31646,b31647,b31648,b31649,b31650,b31651,b31652,b31653,b31654
          ,b31655,b31656,b31657,b31658,b31659,b31660,b31661,b31662,b31663
          ,b31664,b31665,b31666,b31667,b31668,b31669,b31670,b31671,b31672
          ,b31673,b31674,b31675,b31676,b31677,b31678,b31679,b31680,b31681
          ,b31682,b31683,b31684,b31685,b31686,b31687,b31688,b31689,b31690
          ,b31691,b31692,b31693,b31694,b31695,b31696,b31697,b31698,b31699
          ,b31700,b31701,b31702,b31703,b31704,b31705,b31706,b31707,b31708
          ,b31709,b31710,b31711,b31712,b31713,b31714,b31715,b31716,b31717
          ,b31718,b31719,b31720,b31721,b31722,b31723,b31724,b31725,b31726
          ,b31727,b31728,b31729,b31730,b31731,b31732,b31733,b31734,b31735
          ,b31736,b31737,b31738,b31739,b31740,b31741,b31742,b31743,b31744
          ,b31745,b31746,b31747,b31748,b31749,b31750,b31751,b31752,b31753
          ,b31754,b31755,b31756,b31757,b31758,b31759,b31760,b31761,b31762
          ,b31763,b31764,b31765,b31766,b31767,b31768,b31769,b31770,b31771
          ,b31772,b31773,b31774,b31775,b31776,b31777,b31778,b31779,b31780
          ,b31781,b31782,b31783,b31784,b31785,b31786,b31787,b31788,b31789
          ,b31790,b31791,b31792,b31793,b31794,b31795,b31796,b31797,b31798
          ,b31799,b31800,b31801,b31802,b31803,b31804,b31805,b31806,b31807
          ,b31808,b31809,b31810,b31811,b31812,b31813,b31814,b31815,b31816
          ,b31817,b31818,b31819,b31820,b31821,b31822,b31823,b31824,b31825
          ,b31826,b31827,b31828,b31829,b31830,b31831,b31832,b31833,b31834
          ,b31835,b31836,b31837,b31838,b31839,b31840,b31841,b31842,b31843
          ,b31844,b31845,b31846,b31847,b31848,b31849,b31850,b31851,b31852
          ,b31853,b31854,b31855,b31856,b31857,b31858,b31859,b31860,b31861
          ,b31862,b31863,b31864,b31865,b31866,b31867,b31868,b31869,b31870
          ,b31871,b31872,b31873,b31874,b31875,b31876,b31877,b31878,b31879
          ,b31880,b31881,b31882,b31883,b31884,b31885,b31886,b31887,b31888
          ,b31889,b31890,b31891,b31892,b31893,b31894,b31895,b31896,b31897
          ,b31898,b31899,b31900,b31901,b31902,b31903,b31904,b31905,b31906
          ,b31907,b31908,b31909,b31910,b31911,b31912,b31913,b31914,b31915
          ,b31916,b31917,b31918,b31919,b31920,b31921,b31922,b31923,b31924
          ,b31925,b31926;

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
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          ,e21249,e21250,e21251,e21252,e21253,e21254,e21255,e21256,e21257
          ,e21258,e21259,e21260,e21261,e21262,e21263,e21264,e21265,e21266
          ,e21267,e21268,e21269,e21270,e21271;


e1..    25.6*x23869 + 25.7*x23870 + 17.8*x23871 + 13.2*x23872 + 7.9*x23873
      + 19.3*x23874 + 25.4*x23875 + 17.1*x23876 + 27.1*x23877 + 32.8*x23878
      + 5.8*x23879 + 25.7*x23880 + 13.2*x23881 + 15.1*x23882 + 29.5*x23883
      + 15.1*x23884 + 21.2*x23885 + 14.8*x23886 + 4.9*x23887 + 19.8*x23888
      + 25.3*x23889 + 27.1*x23890 + 29.4*x23891 + 2.4*x23892 + 25.6*x23893
      + 6.9*x23894 + 5.8*x23895 + 20.7*x23896 + 25.4*x23897 + 27.6*x23898
      + 25.4*x23899 + 11*x23900 + 18.3*x23901 + 19.8*x23902 + 10.2*x23903
      + 25.3*x23904 + 38.2*x23905 + 26.2*x23906 + 4.2*x23907 + 7.9*x23908
      + 27.6*x23909 + 6.9*x23910 + 8.1*x23911 + 8.1*x23912 + 32.8*x23913
      + 24.1*x23914 + 17.1*x23915 + 2.4*x23916 + 18.3*x23917 + 33.4*x23918
      + 11*x23919 + 9.8*x23920 + 25.4*x23921 + 16.9*x23922 + 11.5*x23923
      + 15.1*x23924 + 28*x23925 + 20.7*x23926 + 16.3*x23927 + 10.1*x23928
      + 38.2*x23929 + 21.7*x23930 + 25.1*x23931 + 21.7*x23932 + 28*x23933
      + 33.4*x23934 + 4.9*x23935 + 10.1*x23936 + 14.3*x23937 + 21.2*x23938
      + 19.3*x23939 + 29.4*x23940 + 33.6*x23941 + 9.5*x23942 + 10.2*x23943
      + 25.4*x23944 + 45.5*x23945 + 24.1*x23946 + 29.5*x23947 + 11.5*x23948
      + 45.5*x23949 + 9.5*x23950 + 10.5*x23951 + 25.4*x23952 + 17.7*x23953
      + 7.2*x23954 + 4.2*x23955 + 8*x23956 + 33.6*x23957 + 17.8*x23958
      + 10.5*x23959 + 17.7*x23960 + 14.3*x23961 + 16.9*x23962 + 15.1*x23963
      + 14.8*x23964 + 16.3*x23965 + 9.8*x23966 + 25.1*x23967 + 26.2*x23968
      + 7.2*x23969 + 8*x23970 - objvar =E= 0;

e2.. 5*b1*b7957 + 10*b1 + 6.5*b2*b7958 + 13*b2 + 7.5*b3*b7959 + 15*b3 + 8*b4*
     b7960 + 16*b4 + 5.5*b5*b7961 + 11*b5 + 7*b6*b7962 + 14*b6 + 7*b7*b7963 + 
     14*b7 + 5.5*b8*b7964 + 11*b8 + 6*b9*b7965 + 12*b9 + 7*b10*b7966 + 14*b10
      + 5*b11*b7967 + 10*b11 + 7*b12*b7968 + 14*b12 + 8*b13*b7969 + 16*b13 + 7*
     b14*b7970 + 14*b14 + 6*b15*b7971 + 12*b15 + 6.5*b16*b7972 + 13*b16 + 7.5*
     b17*b7973 + 15*b17 + 6*b18*b7974 + 12*b18 + 5.5*b19*b7975 + 11*b19 + 7.5*
     b20*b7976 + 15*b20 + 6*b21*b7977 + 12*b21 + 5.5*b22*b7978 + 11*b22 + 5*b23
     *b7979 + 10*b23 + 7*b24*b7980 + 14*b24 + 5.5*b25*b7981 + 11*b25 + 7*b26*
     b7982 + 14*b26 + 6.5*b27*b7983 + 13*b27 + 7*b28*b7984 + 14*b28 + 6*b29*
     b7985 + 12*b29 + 6.5*b30*b7986 + 13*b30 + 5.5*b31*b7987 + 11*b31 + 8*b32*
     b7988 + 16*b32 + 8*b33*b7989 + 16*b33 + 6.5*b34*b7990 + 13*b34 + 7.5*b35*
     b7991 + 15*b35 + 6.5*b36*b7992 + 13*b36 + 7.5*b37*b7993 + 15*b37 + 5.5*b38
     *b7994 + 11*b38 + 5.5*b39*b7995 + 11*b39 + 5*b40*b7996 + 10*b40 + 5.5*b41*
     b7997 + 11*b41 + 7*b42*b7998 + 14*b42 + 8*b43*b7999 + 16*b43 + 5.5*b44*
     b8000 + 11*b44 + 7*b45*b8001 + 14*b45 + 8*b46*b8002 + 16*b46 + 7*b47*b8003
      + 14*b47 + 8*b48*b8004 + 16*b48 + 6*b49*b8005 + 12*b49 + 7*b50*b8006 + 14
     *b50 + 7*b51*b8007 + 14*b51 + 5.5*b52*b8008 + 11*b52 + 8*b53*b8009 + 16*
     b53 + 5.5*b54*b8010 + 11*b54 + 6*b55*b8011 + 12*b55 + 6.5*b56*b8012 + 13*
     b56 + 5*b57*b8013 + 10*b57 + 6*b58*b8014 + 12*b58 + 6.5*b59*b8015 + 13*b59
      + 6*b60*b8016 + 12*b60 + 6*b61*b8017 + 12*b61 + 5*b62*b8018 + 10*b62 + 6*
     b63*b8019 + 12*b63 + 7*b64*b8020 + 14*b64 + 6*b65*b8021 + 12*b65 + 7.5*b66
     *b8022 + 15*b66 + 6.5*b67*b8023 + 13*b67 + 6.5*b68*b8024 + 13*b68 + 6*b69*
     b8025 + 12*b69 + 6.5*b70*b8026 + 13*b70 + 5*b71*b8027 + 10*b71 + 5.5*b72*
     b8028 + 11*b72 + 5*b73*b8029 + 10*b73 + 5.5*b74*b8030 + 11*b74 + 5.5*b75*
     b8031 + 11*b75 + 7.5*b76*b8032 + 15*b76 + 5*b77*b8033 + 10*b77 + 7*b78*
     b8034 + 14*b78 + 7.5*b79*b8035 + 15*b79 + 5*b80*b8036 + 10*b80 + 6.5*b81*
     b8037 + 13*b81 + 5*b82*b8038 + 10*b82 + 7.5*b83*b8039 + 15*b83 + 6*b84*
     b8040 + 12*b84 + 5.5*b85*b8041 + 11*b85 + 7.5*b86*b8042 + 15*b86 + 7*b87*
     b8043 + 14*b87 + 7*b88*b8044 + 14*b88 + 7.5*b89*b8045 + 15*b89 + 6*b90*
     b8046 + 12*b90 + 6.5*b91*b8047 + 13*b91 + 6.5*b92*b8048 + 13*b92 + 8*b93*
     b8049 + 16*b93 + 8*b94*b8050 + 16*b94 + 6*b95*b8051 + 12*b95 + 7*b96*b8052
      + 14*b96 + 8*b97*b8053 + 16*b97 + 7.5*b98*b8054 + 15*b98 + 5.5*b99*b8055
      + 11*b99 + 7.5*b100*b8056 + 15*b100 + 8*b101*b8057 + 16*b101 + 7.5*b102*
     b8058 + 15*b102 + 7*b103*b8059 + 14*b103 + 6*b104*b8060 + 12*b104 + 6*b105
     *b8061 + 12*b105 + 6*b106*b8062 + 12*b106 + 7.5*b107*b8063 + 15*b107 + 6.5
     *b108*b8064 + 13*b108 + 5*b109*b8065 + 10*b109 + 6*b110*b8066 + 12*b110 + 
     6.5*b111*b8067 + 13*b111 + 6*b112*b8068 + 12*b112 + 7*b113*b8069 + 14*b113
      + 5*b114*b8070 + 10*b114 + 6*b115*b8071 + 12*b115 + 5.5*b116*b8072 + 11*
     b116 + 6.5*b117*b8073 + 13*b117 + 7.5*b118*b8074 + 15*b118 + 6.5*b119*
     b8075 + 13*b119 + 7*b120*b8076 + 14*b120 + 8*b121*b8077 + 16*b121 + 7.5*
     b122*b8078 + 15*b122 + 8*b123*b8079 + 16*b123 + 6.5*b124*b8080 + 13*b124
      + 7*b125*b8081 + 14*b125 + 6.5*b126*b8082 + 13*b126 + 7*b127*b8083 + 14*
     b127 + 7*b128*b8084 + 14*b128 + 5*b129*b8085 + 10*b129 + 5*b130*b8086 + 10
     *b130 + 7*b131*b8087 + 14*b131 + 7*b132*b8088 + 14*b132 + 5.5*b133*b8089
      + 11*b133 + 6*b134*b8090 + 12*b134 + 7*b135*b8091 + 14*b135 + 6.5*b136*
     b8092 + 13*b136 + 8*b137*b8093 + 16*b137 + 6*b138*b8094 + 12*b138 + 6.5*
     b139*b8095 + 13*b139 + 7.5*b140*b8096 + 15*b140 + 6.5*b141*b8097 + 13*b141
      + 6.5*b142*b8098 + 13*b142 + 8*b143*b8099 + 16*b143 + 6*b144*b8100 + 12*
     b144 + 8*b145*b8101 + 16*b145 + 6*b146*b8102 + 12*b146 + 7*b147*b8103 + 14
     *b147 + 7.5*b148*b8104 + 15*b148 + 6*b149*b8105 + 12*b149 + 7*b150*b8106
      + 14*b150 + 8*b151*b8107 + 16*b151 + 7*b152*b8108 + 14*b152 + 6.5*b153*
     b8109 + 13*b153 + 7*b154*b8110 + 14*b154 + 7*b155*b8111 + 14*b155 + 5*b156
     *b8112 + 10*b156 + 5*b7957*b1 + 6.5*b7958*b2 + 7.5*b7959*b3 + 8*b7960*b4
      + 5.5*b7961*b5 + 7*b7962*b6 + 7*b7963*b7 + 5.5*b7964*b8 + 6*b7965*b9 + 7*
     b7966*b10 + 5*b7967*b11 + 7*b7968*b12 + 8*b7969*b13 + 7*b7970*b14 + 6*
     b7971*b15 + 6.5*b7972*b16 + 7.5*b7973*b17 + 6*b7974*b18 + 5.5*b7975*b19 + 
     7.5*b7976*b20 + 6*b7977*b21 + 5.5*b7978*b22 + 5*b7979*b23 + 7*b7980*b24 + 
     5.5*b7981*b25 + 7*b7982*b26 + 6.5*b7983*b27 + 7*b7984*b28 + 6*b7985*b29 + 
     6.5*b7986*b30 + 5.5*b7987*b31 + 8*b7988*b32 + 8*b7989*b33 + 6.5*b7990*b34
      + 7.5*b7991*b35 + 6.5*b7992*b36 + 7.5*b7993*b37 + 5.5*b7994*b38 + 5.5*
     b7995*b39 + 5*b7996*b40 + 5.5*b7997*b41 + 7*b7998*b42 + 8*b7999*b43 + 5.5*
     b8000*b44 + 7*b8001*b45 + 8*b8002*b46 + 7*b8003*b47 + 8*b8004*b48 + 6*
     b8005*b49 + 7*b8006*b50 + 7*b8007*b51 + 5.5*b8008*b52 + 8*b8009*b53 + 5.5*
     b8010*b54 + 6*b8011*b55 + 6.5*b8012*b56 + 5*b8013*b57 + 6*b8014*b58 + 6.5*
     b8015*b59 + 6*b8016*b60 + 6*b8017*b61 + 5*b8018*b62 + 6*b8019*b63 + 7*
     b8020*b64 + 6*b8021*b65 + 7.5*b8022*b66 + 6.5*b8023*b67 + 6.5*b8024*b68 + 
     6*b8025*b69 + 6.5*b8026*b70 + 5*b8027*b71 + 5.5*b8028*b72 + 5*b8029*b73 + 
     5.5*b8030*b74 + 5.5*b8031*b75 + 7.5*b8032*b76 + 5*b8033*b77 + 7*b8034*b78
      + 7.5*b8035*b79 + 5*b8036*b80 + 6.5*b8037*b81 + 5*b8038*b82 + 7.5*b8039*
     b83 + 6*b8040*b84 + 5.5*b8041*b85 + 7.5*b8042*b86 + 7*b8043*b87 + 7*b8044*
     b88 + 7.5*b8045*b89 + 6*b8046*b90 + 6.5*b8047*b91 + 6.5*b8048*b92 + 8*
     b8049*b93 + 8*b8050*b94 + 6*b8051*b95 + 7*b8052*b96 + 8*b8053*b97 + 7.5*
     b8054*b98 + 5.5*b8055*b99 + 7.5*b8056*b100 + 8*b8057*b101 + 7.5*b8058*b102
      + 7*b8059*b103 + 6*b8060*b104 + 6*b8061*b105 + 6*b8062*b106 + 7.5*b8063*
     b107 + 6.5*b8064*b108 + 5*b8065*b109 + 6*b8066*b110 + 6.5*b8067*b111 + 6*
     b8068*b112 + 7*b8069*b113 + 5*b8070*b114 + 6*b8071*b115 + 5.5*b8072*b116
      + 6.5*b8073*b117 + 7.5*b8074*b118 + 6.5*b8075*b119 + 7*b8076*b120 + 8*
     b8077*b121 + 7.5*b8078*b122 + 8*b8079*b123 + 6.5*b8080*b124 + 7*b8081*b125
      + 6.5*b8082*b126 + 7*b8083*b127 + 7*b8084*b128 + 5*b8085*b129 + 5*b8086*
     b130 + 7*b8087*b131 + 7*b8088*b132 + 5.5*b8089*b133 + 6*b8090*b134 + 7*
     b8091*b135 + 6.5*b8092*b136 + 8*b8093*b137 + 6*b8094*b138 + 6.5*b8095*b139
      + 7.5*b8096*b140 + 6.5*b8097*b141 + 6.5*b8098*b142 + 8*b8099*b143 + 6*
     b8100*b144 + 8*b8101*b145 + 6*b8102*b146 + 7*b8103*b147 + 7.5*b8104*b148
      + 6*b8105*b149 + 7*b8106*b150 + 8*b8107*b151 + 7*b8108*b152 + 6.5*b8109*
     b153 + 7*b8110*b154 + 7*b8111*b155 + 5*b8112*b156 - x23869 =L= 0;

e3.. 5*b937*b7957 + 6.5*b938*b7958 + 7.5*b939*b7959 + 8*b940*b7960 + 5.5*b941*
     b7961 + 7*b942*b7962 + 7*b943*b7963 + 5.5*b944*b7964 + 6*b945*b7965 + 7*
     b946*b7966 + 5*b947*b7967 + 7*b948*b7968 + 8*b949*b7969 + 7*b950*b7970 + 6
     *b951*b7971 + 6.5*b952*b7972 + 7.5*b953*b7973 + 6*b954*b7974 + 5.5*b955*
     b7975 + 7.5*b956*b7976 + 6*b957*b7977 + 5.5*b958*b7978 + 5*b959*b7979 + 7*
     b960*b7980 + 5.5*b961*b7981 + 7*b962*b7982 + 6.5*b963*b7983 + 7*b964*b7984
      + 6*b965*b7985 + 6.5*b966*b7986 + 5.5*b967*b7987 + 8*b968*b7988 + 8*b969*
     b7989 + 6.5*b970*b7990 + 7.5*b971*b7991 + 6.5*b972*b7992 + 7.5*b973*b7993
      + 5.5*b974*b7994 + 5.5*b975*b7995 + 5*b976*b7996 + 5.5*b977*b7997 + 7*
     b978*b7998 + 8*b979*b7999 + 5.5*b980*b8000 + 7*b981*b8001 + 8*b982*b8002
      + 7*b983*b8003 + 8*b984*b8004 + 6*b985*b8005 + 7*b986*b8006 + 7*b987*
     b8007 + 5.5*b988*b8008 + 8*b989*b8009 + 5.5*b990*b8010 + 6*b991*b8011 + 
     6.5*b992*b8012 + 5*b993*b8013 + 6*b994*b8014 + 6.5*b995*b8015 + 6*b996*
     b8016 + 6*b997*b8017 + 5*b998*b8018 + 6*b999*b8019 + 7*b1000*b8020 + 6*
     b1001*b8021 + 7.5*b1002*b8022 + 6.5*b1003*b8023 + 6.5*b1004*b8024 + 6*
     b1005*b8025 + 6.5*b1006*b8026 + 5*b1007*b8027 + 5.5*b1008*b8028 + 5*b1009*
     b8029 + 5.5*b1010*b8030 + 5.5*b1011*b8031 + 7.5*b1012*b8032 + 5*b1013*
     b8033 + 7*b1014*b8034 + 7.5*b1015*b8035 + 5*b1016*b8036 + 6.5*b1017*b8037
      + 5*b1018*b8038 + 7.5*b1019*b8039 + 6*b1020*b8040 + 5.5*b1021*b8041 + 7.5
     *b1022*b8042 + 7*b1023*b8043 + 7*b1024*b8044 + 7.5*b1025*b8045 + 6*b1026*
     b8046 + 6.5*b1027*b8047 + 6.5*b1028*b8048 + 8*b1029*b8049 + 8*b1030*b8050
      + 6*b1031*b8051 + 7*b1032*b8052 + 8*b1033*b8053 + 7.5*b1034*b8054 + 5.5*
     b1035*b8055 + 7.5*b1036*b8056 + 8*b1037*b8057 + 7.5*b1038*b8058 + 7*b1039*
     b8059 + 6*b1040*b8060 + 6*b1041*b8061 + 6*b1042*b8062 + 7.5*b1043*b8063 + 
     6.5*b1044*b8064 + 5*b1045*b8065 + 6*b1046*b8066 + 6.5*b1047*b8067 + 6*
     b1048*b8068 + 7*b1049*b8069 + 5*b1050*b8070 + 6*b1051*b8071 + 5.5*b1052*
     b8072 + 6.5*b1053*b8073 + 7.5*b1054*b8074 + 6.5*b1055*b8075 + 7*b1056*
     b8076 + 8*b1057*b8077 + 7.5*b1058*b8078 + 8*b1059*b8079 + 6.5*b1060*b8080
      + 7*b1061*b8081 + 6.5*b1062*b8082 + 7*b1063*b8083 + 7*b1064*b8084 + 5*
     b1065*b8085 + 5*b1066*b8086 + 7*b1067*b8087 + 7*b1068*b8088 + 5.5*b1069*
     b8089 + 6*b1070*b8090 + 7*b1071*b8091 + 6.5*b1072*b8092 + 8*b1073*b8093 + 
     6*b1074*b8094 + 6.5*b1075*b8095 + 7.5*b1076*b8096 + 6.5*b1077*b8097 + 6.5*
     b1078*b8098 + 8*b1079*b8099 + 6*b1080*b8100 + 8*b1081*b8101 + 6*b1082*
     b8102 + 7*b1083*b8103 + 7.5*b1084*b8104 + 6*b1085*b8105 + 7*b1086*b8106 + 
     8*b1087*b8107 + 7*b1088*b8108 + 6.5*b1089*b8109 + 7*b1090*b8110 + 7*b1091*
     b8111 + 5*b1092*b8112 + 5*b7957*b937 + 6.5*b7958*b938 + 7.5*b7959*b939 + 8
     *b7960*b940 + 5.5*b7961*b941 + 7*b7962*b942 + 7*b7963*b943 + 5.5*b7964*
     b944 + 6*b7965*b945 + 7*b7966*b946 + 5*b7967*b947 + 7*b7968*b948 + 8*b7969
     *b949 + 7*b7970*b950 + 6*b7971*b951 + 6.5*b7972*b952 + 7.5*b7973*b953 + 6*
     b7974*b954 + 5.5*b7975*b955 + 7.5*b7976*b956 + 6*b7977*b957 + 5.5*b7978*
     b958 + 5*b7979*b959 + 7*b7980*b960 + 5.5*b7981*b961 + 7*b7982*b962 + 6.5*
     b7983*b963 + 7*b7984*b964 + 6*b7985*b965 + 6.5*b7986*b966 + 5.5*b7987*b967
      + 8*b7988*b968 + 8*b7989*b969 + 6.5*b7990*b970 + 7.5*b7991*b971 + 6.5*
     b7992*b972 + 7.5*b7993*b973 + 5.5*b7994*b974 + 5.5*b7995*b975 + 5*b7996*
     b976 + 5.5*b7997*b977 + 7*b7998*b978 + 8*b7999*b979 + 5.5*b8000*b980 + 7*
     b8001*b981 + 8*b8002*b982 + 7*b8003*b983 + 8*b8004*b984 + 6*b8005*b985 + 7
     *b8006*b986 + 7*b8007*b987 + 5.5*b8008*b988 + 8*b8009*b989 + 5.5*b8010*
     b990 + 6*b8011*b991 + 6.5*b8012*b992 + 5*b8013*b993 + 6*b8014*b994 + 6.5*
     b8015*b995 + 6*b8016*b996 + 6*b8017*b997 + 5*b8018*b998 + 6*b8019*b999 + 7
     *b8020*b1000 + 6*b8021*b1001 + 7.5*b8022*b1002 + 6.5*b8023*b1003 + 6.5*
     b8024*b1004 + 6*b8025*b1005 + 6.5*b8026*b1006 + 5*b8027*b1007 + 5.5*b8028*
     b1008 + 5*b8029*b1009 + 5.5*b8030*b1010 + 5.5*b8031*b1011 + 7.5*b8032*
     b1012 + 5*b8033*b1013 + 7*b8034*b1014 + 7.5*b8035*b1015 + 5*b8036*b1016 + 
     6.5*b8037*b1017 + 5*b8038*b1018 + 7.5*b8039*b1019 + 6*b8040*b1020 + 5.5*
     b8041*b1021 + 7.5*b8042*b1022 + 7*b8043*b1023 + 7*b8044*b1024 + 7.5*b8045*
     b1025 + 6*b8046*b1026 + 6.5*b8047*b1027 + 6.5*b8048*b1028 + 8*b8049*b1029
      + 8*b8050*b1030 + 6*b8051*b1031 + 7*b8052*b1032 + 8*b8053*b1033 + 7.5*
     b8054*b1034 + 5.5*b8055*b1035 + 7.5*b8056*b1036 + 8*b8057*b1037 + 7.5*
     b8058*b1038 + 7*b8059*b1039 + 6*b8060*b1040 + 6*b8061*b1041 + 6*b8062*
     b1042 + 7.5*b8063*b1043 + 6.5*b8064*b1044 + 5*b8065*b1045 + 6*b8066*b1046
      + 6.5*b8067*b1047 + 6*b8068*b1048 + 7*b8069*b1049 + 5*b8070*b1050 + 6*
     b8071*b1051 + 5.5*b8072*b1052 + 6.5*b8073*b1053 + 7.5*b8074*b1054 + 6.5*
     b8075*b1055 + 7*b8076*b1056 + 8*b8077*b1057 + 7.5*b8078*b1058 + 8*b8079*
     b1059 + 6.5*b8080*b1060 + 7*b8081*b1061 + 6.5*b8082*b1062 + 7*b8083*b1063
      + 7*b8084*b1064 + 5*b8085*b1065 + 5*b8086*b1066 + 7*b8087*b1067 + 7*b8088
     *b1068 + 5.5*b8089*b1069 + 6*b8090*b1070 + 7*b8091*b1071 + 6.5*b8092*b1072
      + 8*b8093*b1073 + 6*b8094*b1074 + 6.5*b8095*b1075 + 7.5*b8096*b1076 + 6.5
     *b8097*b1077 + 6.5*b8098*b1078 + 8*b8099*b1079 + 6*b8100*b1080 + 8*b8101*
     b1081 + 6*b8102*b1082 + 7*b8103*b1083 + 7.5*b8104*b1084 + 6*b8105*b1085 + 
     7*b8106*b1086 + 8*b8107*b1087 + 7*b8108*b1088 + 6.5*b8109*b1089 + 7*b8110*
     b1090 + 7*b8111*b1091 + 5*b8112*b1092 + 10*b1 + 13*b2 + 15*b3 + 16*b4
      + 11*b5 + 14*b6 + 14*b7 + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12
      + 16*b13 + 14*b14 + 12*b15 + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20
      + 12*b21 + 11*b22 + 10*b23 + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28
      + 12*b29 + 13*b30 + 11*b31 + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36
      + 15*b37 + 11*b38 + 11*b39 + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44
      + 14*b45 + 16*b46 + 14*b47 + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52
      + 16*b53 + 11*b54 + 12*b55 + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60
      + 12*b61 + 10*b62 + 12*b63 + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68
      + 12*b69 + 13*b70 + 10*b71 + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76
      + 10*b77 + 14*b78 + 15*b79 + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84
      + 11*b85 + 15*b86 + 14*b87 + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92
      + 16*b93 + 16*b94 + 12*b95 + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100
      + 16*b101 + 15*b102 + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107
      + 13*b108 + 10*b109 + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114
      + 12*b115 + 11*b116 + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121
      + 15*b122 + 16*b123 + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128
      + 10*b129 + 10*b130 + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135
      + 13*b136 + 16*b137 + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142
      + 16*b143 + 12*b144 + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149
      + 14*b150 + 16*b151 + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156
      - x23869 =L= 0;

e4.. 5*b1717*b7957 + 6.5*b1718*b7958 + 7.5*b1719*b7959 + 8*b1720*b7960 + 5.5*
     b1721*b7961 + 7*b1722*b7962 + 7*b1723*b7963 + 5.5*b1724*b7964 + 6*b1725*
     b7965 + 7*b1726*b7966 + 5*b1727*b7967 + 7*b1728*b7968 + 8*b1729*b7969 + 7*
     b1730*b7970 + 6*b1731*b7971 + 6.5*b1732*b7972 + 7.5*b1733*b7973 + 6*b1734*
     b7974 + 5.5*b1735*b7975 + 7.5*b1736*b7976 + 6*b1737*b7977 + 5.5*b1738*
     b7978 + 5*b1739*b7979 + 7*b1740*b7980 + 5.5*b1741*b7981 + 7*b1742*b7982 + 
     6.5*b1743*b7983 + 7*b1744*b7984 + 6*b1745*b7985 + 6.5*b1746*b7986 + 5.5*
     b1747*b7987 + 8*b1748*b7988 + 8*b1749*b7989 + 6.5*b1750*b7990 + 7.5*b1751*
     b7991 + 6.5*b1752*b7992 + 7.5*b1753*b7993 + 5.5*b1754*b7994 + 5.5*b1755*
     b7995 + 5*b1756*b7996 + 5.5*b1757*b7997 + 7*b1758*b7998 + 8*b1759*b7999 + 
     5.5*b1760*b8000 + 7*b1761*b8001 + 8*b1762*b8002 + 7*b1763*b8003 + 8*b1764*
     b8004 + 6*b1765*b8005 + 7*b1766*b8006 + 7*b1767*b8007 + 5.5*b1768*b8008 + 
     8*b1769*b8009 + 5.5*b1770*b8010 + 6*b1771*b8011 + 6.5*b1772*b8012 + 5*
     b1773*b8013 + 6*b1774*b8014 + 6.5*b1775*b8015 + 6*b1776*b8016 + 6*b1777*
     b8017 + 5*b1778*b8018 + 6*b1779*b8019 + 7*b1780*b8020 + 6*b1781*b8021 + 
     7.5*b1782*b8022 + 6.5*b1783*b8023 + 6.5*b1784*b8024 + 6*b1785*b8025 + 6.5*
     b1786*b8026 + 5*b1787*b8027 + 5.5*b1788*b8028 + 5*b1789*b8029 + 5.5*b1790*
     b8030 + 5.5*b1791*b8031 + 7.5*b1792*b8032 + 5*b1793*b8033 + 7*b1794*b8034
      + 7.5*b1795*b8035 + 5*b1796*b8036 + 6.5*b1797*b8037 + 5*b1798*b8038 + 7.5
     *b1799*b8039 + 6*b1800*b8040 + 5.5*b1801*b8041 + 7.5*b1802*b8042 + 7*b1803
     *b8043 + 7*b1804*b8044 + 7.5*b1805*b8045 + 6*b1806*b8046 + 6.5*b1807*b8047
      + 6.5*b1808*b8048 + 8*b1809*b8049 + 8*b1810*b8050 + 6*b1811*b8051 + 7*
     b1812*b8052 + 8*b1813*b8053 + 7.5*b1814*b8054 + 5.5*b1815*b8055 + 7.5*
     b1816*b8056 + 8*b1817*b8057 + 7.5*b1818*b8058 + 7*b1819*b8059 + 6*b1820*
     b8060 + 6*b1821*b8061 + 6*b1822*b8062 + 7.5*b1823*b8063 + 6.5*b1824*b8064
      + 5*b1825*b8065 + 6*b1826*b8066 + 6.5*b1827*b8067 + 6*b1828*b8068 + 7*
     b1829*b8069 + 5*b1830*b8070 + 6*b1831*b8071 + 5.5*b1832*b8072 + 6.5*b1833*
     b8073 + 7.5*b1834*b8074 + 6.5*b1835*b8075 + 7*b1836*b8076 + 8*b1837*b8077
      + 7.5*b1838*b8078 + 8*b1839*b8079 + 6.5*b1840*b8080 + 7*b1841*b8081 + 6.5
     *b1842*b8082 + 7*b1843*b8083 + 7*b1844*b8084 + 5*b1845*b8085 + 5*b1846*
     b8086 + 7*b1847*b8087 + 7*b1848*b8088 + 5.5*b1849*b8089 + 6*b1850*b8090 + 
     7*b1851*b8091 + 6.5*b1852*b8092 + 8*b1853*b8093 + 6*b1854*b8094 + 6.5*
     b1855*b8095 + 7.5*b1856*b8096 + 6.5*b1857*b8097 + 6.5*b1858*b8098 + 8*
     b1859*b8099 + 6*b1860*b8100 + 8*b1861*b8101 + 6*b1862*b8102 + 7*b1863*
     b8103 + 7.5*b1864*b8104 + 6*b1865*b8105 + 7*b1866*b8106 + 8*b1867*b8107 + 
     7*b1868*b8108 + 6.5*b1869*b8109 + 7*b1870*b8110 + 7*b1871*b8111 + 5*b1872*
     b8112 + 5*b7957*b1717 + 6.5*b7958*b1718 + 7.5*b7959*b1719 + 8*b7960*b1720
      + 5.5*b7961*b1721 + 7*b7962*b1722 + 7*b7963*b1723 + 5.5*b7964*b1724 + 6*
     b7965*b1725 + 7*b7966*b1726 + 5*b7967*b1727 + 7*b7968*b1728 + 8*b7969*
     b1729 + 7*b7970*b1730 + 6*b7971*b1731 + 6.5*b7972*b1732 + 7.5*b7973*b1733
      + 6*b7974*b1734 + 5.5*b7975*b1735 + 7.5*b7976*b1736 + 6*b7977*b1737 + 5.5
     *b7978*b1738 + 5*b7979*b1739 + 7*b7980*b1740 + 5.5*b7981*b1741 + 7*b7982*
     b1742 + 6.5*b7983*b1743 + 7*b7984*b1744 + 6*b7985*b1745 + 6.5*b7986*b1746
      + 5.5*b7987*b1747 + 8*b7988*b1748 + 8*b7989*b1749 + 6.5*b7990*b1750 + 7.5
     *b7991*b1751 + 6.5*b7992*b1752 + 7.5*b7993*b1753 + 5.5*b7994*b1754 + 5.5*
     b7995*b1755 + 5*b7996*b1756 + 5.5*b7997*b1757 + 7*b7998*b1758 + 8*b7999*
     b1759 + 5.5*b8000*b1760 + 7*b8001*b1761 + 8*b8002*b1762 + 7*b8003*b1763 + 
     8*b8004*b1764 + 6*b8005*b1765 + 7*b8006*b1766 + 7*b8007*b1767 + 5.5*b8008*
     b1768 + 8*b8009*b1769 + 5.5*b8010*b1770 + 6*b8011*b1771 + 6.5*b8012*b1772
      + 5*b8013*b1773 + 6*b8014*b1774 + 6.5*b8015*b1775 + 6*b8016*b1776 + 6*
     b8017*b1777 + 5*b8018*b1778 + 6*b8019*b1779 + 7*b8020*b1780 + 6*b8021*
     b1781 + 7.5*b8022*b1782 + 6.5*b8023*b1783 + 6.5*b8024*b1784 + 6*b8025*
     b1785 + 6.5*b8026*b1786 + 5*b8027*b1787 + 5.5*b8028*b1788 + 5*b8029*b1789
      + 5.5*b8030*b1790 + 5.5*b8031*b1791 + 7.5*b8032*b1792 + 5*b8033*b1793 + 7
     *b8034*b1794 + 7.5*b8035*b1795 + 5*b8036*b1796 + 6.5*b8037*b1797 + 5*b8038
     *b1798 + 7.5*b8039*b1799 + 6*b8040*b1800 + 5.5*b8041*b1801 + 7.5*b8042*
     b1802 + 7*b8043*b1803 + 7*b8044*b1804 + 7.5*b8045*b1805 + 6*b8046*b1806 + 
     6.5*b8047*b1807 + 6.5*b8048*b1808 + 8*b8049*b1809 + 8*b8050*b1810 + 6*
     b8051*b1811 + 7*b8052*b1812 + 8*b8053*b1813 + 7.5*b8054*b1814 + 5.5*b8055*
     b1815 + 7.5*b8056*b1816 + 8*b8057*b1817 + 7.5*b8058*b1818 + 7*b8059*b1819
      + 6*b8060*b1820 + 6*b8061*b1821 + 6*b8062*b1822 + 7.5*b8063*b1823 + 6.5*
     b8064*b1824 + 5*b8065*b1825 + 6*b8066*b1826 + 6.5*b8067*b1827 + 6*b8068*
     b1828 + 7*b8069*b1829 + 5*b8070*b1830 + 6*b8071*b1831 + 5.5*b8072*b1832 + 
     6.5*b8073*b1833 + 7.5*b8074*b1834 + 6.5*b8075*b1835 + 7*b8076*b1836 + 8*
     b8077*b1837 + 7.5*b8078*b1838 + 8*b8079*b1839 + 6.5*b8080*b1840 + 7*b8081*
     b1841 + 6.5*b8082*b1842 + 7*b8083*b1843 + 7*b8084*b1844 + 5*b8085*b1845 + 
     5*b8086*b1846 + 7*b8087*b1847 + 7*b8088*b1848 + 5.5*b8089*b1849 + 6*b8090*
     b1850 + 7*b8091*b1851 + 6.5*b8092*b1852 + 8*b8093*b1853 + 6*b8094*b1854 + 
     6.5*b8095*b1855 + 7.5*b8096*b1856 + 6.5*b8097*b1857 + 6.5*b8098*b1858 + 8*
     b8099*b1859 + 6*b8100*b1860 + 8*b8101*b1861 + 6*b8102*b1862 + 7*b8103*
     b1863 + 7.5*b8104*b1864 + 6*b8105*b1865 + 7*b8106*b1866 + 8*b8107*b1867 + 
     7*b8108*b1868 + 6.5*b8109*b1869 + 7*b8110*b1870 + 7*b8111*b1871 + 5*b8112*
     b1872 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7 + 11*b8
      + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15 + 13*b16
      + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23 + 14*b24
      + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31 + 16*b32
      + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39 + 10*b40
      + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47 + 16*b48
      + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55 + 13*b56
      + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63 + 14*b64
      + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71 + 11*b72
      + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79 + 10*b80
      + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87 + 14*b88
      + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95 + 14*b96
      + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102 + 14*b103
      + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109 + 12*b110
      + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116 + 13*b117
      + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123 + 13*b124
      + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130 + 14*b131
      + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137 + 12*b138
      + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144 + 16*b145
      + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151 + 14*b152
      + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e5.. 5*b2497*b7957 + 6.5*b2498*b7958 + 7.5*b2499*b7959 + 8*b2500*b7960 + 5.5*
     b2501*b7961 + 7*b2502*b7962 + 7*b2503*b7963 + 5.5*b2504*b7964 + 6*b2505*
     b7965 + 7*b2506*b7966 + 5*b2507*b7967 + 7*b2508*b7968 + 8*b2509*b7969 + 7*
     b2510*b7970 + 6*b2511*b7971 + 6.5*b2512*b7972 + 7.5*b2513*b7973 + 6*b2514*
     b7974 + 5.5*b2515*b7975 + 7.5*b2516*b7976 + 6*b2517*b7977 + 5.5*b2518*
     b7978 + 5*b2519*b7979 + 7*b2520*b7980 + 5.5*b2521*b7981 + 7*b2522*b7982 + 
     6.5*b2523*b7983 + 7*b2524*b7984 + 6*b2525*b7985 + 6.5*b2526*b7986 + 5.5*
     b2527*b7987 + 8*b2528*b7988 + 8*b2529*b7989 + 6.5*b2530*b7990 + 7.5*b2531*
     b7991 + 6.5*b2532*b7992 + 7.5*b2533*b7993 + 5.5*b2534*b7994 + 5.5*b2535*
     b7995 + 5*b2536*b7996 + 5.5*b2537*b7997 + 7*b2538*b7998 + 8*b2539*b7999 + 
     5.5*b2540*b8000 + 7*b2541*b8001 + 8*b2542*b8002 + 7*b2543*b8003 + 8*b2544*
     b8004 + 6*b2545*b8005 + 7*b2546*b8006 + 7*b2547*b8007 + 5.5*b2548*b8008 + 
     8*b2549*b8009 + 5.5*b2550*b8010 + 6*b2551*b8011 + 6.5*b2552*b8012 + 5*
     b2553*b8013 + 6*b2554*b8014 + 6.5*b2555*b8015 + 6*b2556*b8016 + 6*b2557*
     b8017 + 5*b2558*b8018 + 6*b2559*b8019 + 7*b2560*b8020 + 6*b2561*b8021 + 
     7.5*b2562*b8022 + 6.5*b2563*b8023 + 6.5*b2564*b8024 + 6*b2565*b8025 + 6.5*
     b2566*b8026 + 5*b2567*b8027 + 5.5*b2568*b8028 + 5*b2569*b8029 + 5.5*b2570*
     b8030 + 5.5*b2571*b8031 + 7.5*b2572*b8032 + 5*b2573*b8033 + 7*b2574*b8034
      + 7.5*b2575*b8035 + 5*b2576*b8036 + 6.5*b2577*b8037 + 5*b2578*b8038 + 7.5
     *b2579*b8039 + 6*b2580*b8040 + 5.5*b2581*b8041 + 7.5*b2582*b8042 + 7*b2583
     *b8043 + 7*b2584*b8044 + 7.5*b2585*b8045 + 6*b2586*b8046 + 6.5*b2587*b8047
      + 6.5*b2588*b8048 + 8*b2589*b8049 + 8*b2590*b8050 + 6*b2591*b8051 + 7*
     b2592*b8052 + 8*b2593*b8053 + 7.5*b2594*b8054 + 5.5*b2595*b8055 + 7.5*
     b2596*b8056 + 8*b2597*b8057 + 7.5*b2598*b8058 + 7*b2599*b8059 + 6*b2600*
     b8060 + 6*b2601*b8061 + 6*b2602*b8062 + 7.5*b2603*b8063 + 6.5*b2604*b8064
      + 5*b2605*b8065 + 6*b2606*b8066 + 6.5*b2607*b8067 + 6*b2608*b8068 + 7*
     b2609*b8069 + 5*b2610*b8070 + 6*b2611*b8071 + 5.5*b2612*b8072 + 6.5*b2613*
     b8073 + 7.5*b2614*b8074 + 6.5*b2615*b8075 + 7*b2616*b8076 + 8*b2617*b8077
      + 7.5*b2618*b8078 + 8*b2619*b8079 + 6.5*b2620*b8080 + 7*b2621*b8081 + 6.5
     *b2622*b8082 + 7*b2623*b8083 + 7*b2624*b8084 + 5*b2625*b8085 + 5*b2626*
     b8086 + 7*b2627*b8087 + 7*b2628*b8088 + 5.5*b2629*b8089 + 6*b2630*b8090 + 
     7*b2631*b8091 + 6.5*b2632*b8092 + 8*b2633*b8093 + 6*b2634*b8094 + 6.5*
     b2635*b8095 + 7.5*b2636*b8096 + 6.5*b2637*b8097 + 6.5*b2638*b8098 + 8*
     b2639*b8099 + 6*b2640*b8100 + 8*b2641*b8101 + 6*b2642*b8102 + 7*b2643*
     b8103 + 7.5*b2644*b8104 + 6*b2645*b8105 + 7*b2646*b8106 + 8*b2647*b8107 + 
     7*b2648*b8108 + 6.5*b2649*b8109 + 7*b2650*b8110 + 7*b2651*b8111 + 5*b2652*
     b8112 + 5*b7957*b2497 + 6.5*b7958*b2498 + 7.5*b7959*b2499 + 8*b7960*b2500
      + 5.5*b7961*b2501 + 7*b7962*b2502 + 7*b7963*b2503 + 5.5*b7964*b2504 + 6*
     b7965*b2505 + 7*b7966*b2506 + 5*b7967*b2507 + 7*b7968*b2508 + 8*b7969*
     b2509 + 7*b7970*b2510 + 6*b7971*b2511 + 6.5*b7972*b2512 + 7.5*b7973*b2513
      + 6*b7974*b2514 + 5.5*b7975*b2515 + 7.5*b7976*b2516 + 6*b7977*b2517 + 5.5
     *b7978*b2518 + 5*b7979*b2519 + 7*b7980*b2520 + 5.5*b7981*b2521 + 7*b7982*
     b2522 + 6.5*b7983*b2523 + 7*b7984*b2524 + 6*b7985*b2525 + 6.5*b7986*b2526
      + 5.5*b7987*b2527 + 8*b7988*b2528 + 8*b7989*b2529 + 6.5*b7990*b2530 + 7.5
     *b7991*b2531 + 6.5*b7992*b2532 + 7.5*b7993*b2533 + 5.5*b7994*b2534 + 5.5*
     b7995*b2535 + 5*b7996*b2536 + 5.5*b7997*b2537 + 7*b7998*b2538 + 8*b7999*
     b2539 + 5.5*b8000*b2540 + 7*b8001*b2541 + 8*b8002*b2542 + 7*b8003*b2543 + 
     8*b8004*b2544 + 6*b8005*b2545 + 7*b8006*b2546 + 7*b8007*b2547 + 5.5*b8008*
     b2548 + 8*b8009*b2549 + 5.5*b8010*b2550 + 6*b8011*b2551 + 6.5*b8012*b2552
      + 5*b8013*b2553 + 6*b8014*b2554 + 6.5*b8015*b2555 + 6*b8016*b2556 + 6*
     b8017*b2557 + 5*b8018*b2558 + 6*b8019*b2559 + 7*b8020*b2560 + 6*b8021*
     b2561 + 7.5*b8022*b2562 + 6.5*b8023*b2563 + 6.5*b8024*b2564 + 6*b8025*
     b2565 + 6.5*b8026*b2566 + 5*b8027*b2567 + 5.5*b8028*b2568 + 5*b8029*b2569
      + 5.5*b8030*b2570 + 5.5*b8031*b2571 + 7.5*b8032*b2572 + 5*b8033*b2573 + 7
     *b8034*b2574 + 7.5*b8035*b2575 + 5*b8036*b2576 + 6.5*b8037*b2577 + 5*b8038
     *b2578 + 7.5*b8039*b2579 + 6*b8040*b2580 + 5.5*b8041*b2581 + 7.5*b8042*
     b2582 + 7*b8043*b2583 + 7*b8044*b2584 + 7.5*b8045*b2585 + 6*b8046*b2586 + 
     6.5*b8047*b2587 + 6.5*b8048*b2588 + 8*b8049*b2589 + 8*b8050*b2590 + 6*
     b8051*b2591 + 7*b8052*b2592 + 8*b8053*b2593 + 7.5*b8054*b2594 + 5.5*b8055*
     b2595 + 7.5*b8056*b2596 + 8*b8057*b2597 + 7.5*b8058*b2598 + 7*b8059*b2599
      + 6*b8060*b2600 + 6*b8061*b2601 + 6*b8062*b2602 + 7.5*b8063*b2603 + 6.5*
     b8064*b2604 + 5*b8065*b2605 + 6*b8066*b2606 + 6.5*b8067*b2607 + 6*b8068*
     b2608 + 7*b8069*b2609 + 5*b8070*b2610 + 6*b8071*b2611 + 5.5*b8072*b2612 + 
     6.5*b8073*b2613 + 7.5*b8074*b2614 + 6.5*b8075*b2615 + 7*b8076*b2616 + 8*
     b8077*b2617 + 7.5*b8078*b2618 + 8*b8079*b2619 + 6.5*b8080*b2620 + 7*b8081*
     b2621 + 6.5*b8082*b2622 + 7*b8083*b2623 + 7*b8084*b2624 + 5*b8085*b2625 + 
     5*b8086*b2626 + 7*b8087*b2627 + 7*b8088*b2628 + 5.5*b8089*b2629 + 6*b8090*
     b2630 + 7*b8091*b2631 + 6.5*b8092*b2632 + 8*b8093*b2633 + 6*b8094*b2634 + 
     6.5*b8095*b2635 + 7.5*b8096*b2636 + 6.5*b8097*b2637 + 6.5*b8098*b2638 + 8*
     b8099*b2639 + 6*b8100*b2640 + 8*b8101*b2641 + 6*b8102*b2642 + 7*b8103*
     b2643 + 7.5*b8104*b2644 + 6*b8105*b2645 + 7*b8106*b2646 + 8*b8107*b2647 + 
     7*b8108*b2648 + 6.5*b8109*b2649 + 7*b8110*b2650 + 7*b8111*b2651 + 5*b8112*
     b2652 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7 + 11*b8
      + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15 + 13*b16
      + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23 + 14*b24
      + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31 + 16*b32
      + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39 + 10*b40
      + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47 + 16*b48
      + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55 + 13*b56
      + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63 + 14*b64
      + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71 + 11*b72
      + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79 + 10*b80
      + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87 + 14*b88
      + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95 + 14*b96
      + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102 + 14*b103
      + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109 + 12*b110
      + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116 + 13*b117
      + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123 + 13*b124
      + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130 + 14*b131
      + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137 + 12*b138
      + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144 + 16*b145
      + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151 + 14*b152
      + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e6.. 5*b3433*b7957 + 6.5*b3434*b7958 + 7.5*b3435*b7959 + 8*b3436*b7960 + 5.5*
     b3437*b7961 + 7*b3438*b7962 + 7*b3439*b7963 + 5.5*b3440*b7964 + 6*b3441*
     b7965 + 7*b3442*b7966 + 5*b3443*b7967 + 7*b3444*b7968 + 8*b3445*b7969 + 7*
     b3446*b7970 + 6*b3447*b7971 + 6.5*b3448*b7972 + 7.5*b3449*b7973 + 6*b3450*
     b7974 + 5.5*b3451*b7975 + 7.5*b3452*b7976 + 6*b3453*b7977 + 5.5*b3454*
     b7978 + 5*b3455*b7979 + 7*b3456*b7980 + 5.5*b3457*b7981 + 7*b3458*b7982 + 
     6.5*b3459*b7983 + 7*b3460*b7984 + 6*b3461*b7985 + 6.5*b3462*b7986 + 5.5*
     b3463*b7987 + 8*b3464*b7988 + 8*b3465*b7989 + 6.5*b3466*b7990 + 7.5*b3467*
     b7991 + 6.5*b3468*b7992 + 7.5*b3469*b7993 + 5.5*b3470*b7994 + 5.5*b3471*
     b7995 + 5*b3472*b7996 + 5.5*b3473*b7997 + 7*b3474*b7998 + 8*b3475*b7999 + 
     5.5*b3476*b8000 + 7*b3477*b8001 + 8*b3478*b8002 + 7*b3479*b8003 + 8*b3480*
     b8004 + 6*b3481*b8005 + 7*b3482*b8006 + 7*b3483*b8007 + 5.5*b3484*b8008 + 
     8*b3485*b8009 + 5.5*b3486*b8010 + 6*b3487*b8011 + 6.5*b3488*b8012 + 5*
     b3489*b8013 + 6*b3490*b8014 + 6.5*b3491*b8015 + 6*b3492*b8016 + 6*b3493*
     b8017 + 5*b3494*b8018 + 6*b3495*b8019 + 7*b3496*b8020 + 6*b3497*b8021 + 
     7.5*b3498*b8022 + 6.5*b3499*b8023 + 6.5*b3500*b8024 + 6*b3501*b8025 + 6.5*
     b3502*b8026 + 5*b3503*b8027 + 5.5*b3504*b8028 + 5*b3505*b8029 + 5.5*b3506*
     b8030 + 5.5*b3507*b8031 + 7.5*b3508*b8032 + 5*b3509*b8033 + 7*b3510*b8034
      + 7.5*b3511*b8035 + 5*b3512*b8036 + 6.5*b3513*b8037 + 5*b3514*b8038 + 7.5
     *b3515*b8039 + 6*b3516*b8040 + 5.5*b3517*b8041 + 7.5*b3518*b8042 + 7*b3519
     *b8043 + 7*b3520*b8044 + 7.5*b3521*b8045 + 6*b3522*b8046 + 6.5*b3523*b8047
      + 6.5*b3524*b8048 + 8*b3525*b8049 + 8*b3526*b8050 + 6*b3527*b8051 + 7*
     b3528*b8052 + 8*b3529*b8053 + 7.5*b3530*b8054 + 5.5*b3531*b8055 + 7.5*
     b3532*b8056 + 8*b3533*b8057 + 7.5*b3534*b8058 + 7*b3535*b8059 + 6*b3536*
     b8060 + 6*b3537*b8061 + 6*b3538*b8062 + 7.5*b3539*b8063 + 6.5*b3540*b8064
      + 5*b3541*b8065 + 6*b3542*b8066 + 6.5*b3543*b8067 + 6*b3544*b8068 + 7*
     b3545*b8069 + 5*b3546*b8070 + 6*b3547*b8071 + 5.5*b3548*b8072 + 6.5*b3549*
     b8073 + 7.5*b3550*b8074 + 6.5*b3551*b8075 + 7*b3552*b8076 + 8*b3553*b8077
      + 7.5*b3554*b8078 + 8*b3555*b8079 + 6.5*b3556*b8080 + 7*b3557*b8081 + 6.5
     *b3558*b8082 + 7*b3559*b8083 + 7*b3560*b8084 + 5*b3561*b8085 + 5*b3562*
     b8086 + 7*b3563*b8087 + 7*b3564*b8088 + 5.5*b3565*b8089 + 6*b3566*b8090 + 
     7*b3567*b8091 + 6.5*b3568*b8092 + 8*b3569*b8093 + 6*b3570*b8094 + 6.5*
     b3571*b8095 + 7.5*b3572*b8096 + 6.5*b3573*b8097 + 6.5*b3574*b8098 + 8*
     b3575*b8099 + 6*b3576*b8100 + 8*b3577*b8101 + 6*b3578*b8102 + 7*b3579*
     b8103 + 7.5*b3580*b8104 + 6*b3581*b8105 + 7*b3582*b8106 + 8*b3583*b8107 + 
     7*b3584*b8108 + 6.5*b3585*b8109 + 7*b3586*b8110 + 7*b3587*b8111 + 5*b3588*
     b8112 + 5*b7957*b3433 + 6.5*b7958*b3434 + 7.5*b7959*b3435 + 8*b7960*b3436
      + 5.5*b7961*b3437 + 7*b7962*b3438 + 7*b7963*b3439 + 5.5*b7964*b3440 + 6*
     b7965*b3441 + 7*b7966*b3442 + 5*b7967*b3443 + 7*b7968*b3444 + 8*b7969*
     b3445 + 7*b7970*b3446 + 6*b7971*b3447 + 6.5*b7972*b3448 + 7.5*b7973*b3449
      + 6*b7974*b3450 + 5.5*b7975*b3451 + 7.5*b7976*b3452 + 6*b7977*b3453 + 5.5
     *b7978*b3454 + 5*b7979*b3455 + 7*b7980*b3456 + 5.5*b7981*b3457 + 7*b7982*
     b3458 + 6.5*b7983*b3459 + 7*b7984*b3460 + 6*b7985*b3461 + 6.5*b7986*b3462
      + 5.5*b7987*b3463 + 8*b7988*b3464 + 8*b7989*b3465 + 6.5*b7990*b3466 + 7.5
     *b7991*b3467 + 6.5*b7992*b3468 + 7.5*b7993*b3469 + 5.5*b7994*b3470 + 5.5*
     b7995*b3471 + 5*b7996*b3472 + 5.5*b7997*b3473 + 7*b7998*b3474 + 8*b7999*
     b3475 + 5.5*b8000*b3476 + 7*b8001*b3477 + 8*b8002*b3478 + 7*b8003*b3479 + 
     8*b8004*b3480 + 6*b8005*b3481 + 7*b8006*b3482 + 7*b8007*b3483 + 5.5*b8008*
     b3484 + 8*b8009*b3485 + 5.5*b8010*b3486 + 6*b8011*b3487 + 6.5*b8012*b3488
      + 5*b8013*b3489 + 6*b8014*b3490 + 6.5*b8015*b3491 + 6*b8016*b3492 + 6*
     b8017*b3493 + 5*b8018*b3494 + 6*b8019*b3495 + 7*b8020*b3496 + 6*b8021*
     b3497 + 7.5*b8022*b3498 + 6.5*b8023*b3499 + 6.5*b8024*b3500 + 6*b8025*
     b3501 + 6.5*b8026*b3502 + 5*b8027*b3503 + 5.5*b8028*b3504 + 5*b8029*b3505
      + 5.5*b8030*b3506 + 5.5*b8031*b3507 + 7.5*b8032*b3508 + 5*b8033*b3509 + 7
     *b8034*b3510 + 7.5*b8035*b3511 + 5*b8036*b3512 + 6.5*b8037*b3513 + 5*b8038
     *b3514 + 7.5*b8039*b3515 + 6*b8040*b3516 + 5.5*b8041*b3517 + 7.5*b8042*
     b3518 + 7*b8043*b3519 + 7*b8044*b3520 + 7.5*b8045*b3521 + 6*b8046*b3522 + 
     6.5*b8047*b3523 + 6.5*b8048*b3524 + 8*b8049*b3525 + 8*b8050*b3526 + 6*
     b8051*b3527 + 7*b8052*b3528 + 8*b8053*b3529 + 7.5*b8054*b3530 + 5.5*b8055*
     b3531 + 7.5*b8056*b3532 + 8*b8057*b3533 + 7.5*b8058*b3534 + 7*b8059*b3535
      + 6*b8060*b3536 + 6*b8061*b3537 + 6*b8062*b3538 + 7.5*b8063*b3539 + 6.5*
     b8064*b3540 + 5*b8065*b3541 + 6*b8066*b3542 + 6.5*b8067*b3543 + 6*b8068*
     b3544 + 7*b8069*b3545 + 5*b8070*b3546 + 6*b8071*b3547 + 5.5*b8072*b3548 + 
     6.5*b8073*b3549 + 7.5*b8074*b3550 + 6.5*b8075*b3551 + 7*b8076*b3552 + 8*
     b8077*b3553 + 7.5*b8078*b3554 + 8*b8079*b3555 + 6.5*b8080*b3556 + 7*b8081*
     b3557 + 6.5*b8082*b3558 + 7*b8083*b3559 + 7*b8084*b3560 + 5*b8085*b3561 + 
     5*b8086*b3562 + 7*b8087*b3563 + 7*b8088*b3564 + 5.5*b8089*b3565 + 6*b8090*
     b3566 + 7*b8091*b3567 + 6.5*b8092*b3568 + 8*b8093*b3569 + 6*b8094*b3570 + 
     6.5*b8095*b3571 + 7.5*b8096*b3572 + 6.5*b8097*b3573 + 6.5*b8098*b3574 + 8*
     b8099*b3575 + 6*b8100*b3576 + 8*b8101*b3577 + 6*b8102*b3578 + 7*b8103*
     b3579 + 7.5*b8104*b3580 + 6*b8105*b3581 + 7*b8106*b3582 + 8*b8107*b3583 + 
     7*b8108*b3584 + 6.5*b8109*b3585 + 7*b8110*b3586 + 7*b8111*b3587 + 5*b8112*
     b3588 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7 + 11*b8
      + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15 + 13*b16
      + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23 + 14*b24
      + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31 + 16*b32
      + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39 + 10*b40
      + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47 + 16*b48
      + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55 + 13*b56
      + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63 + 14*b64
      + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71 + 11*b72
      + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79 + 10*b80
      + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87 + 14*b88
      + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95 + 14*b96
      + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102 + 14*b103
      + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109 + 12*b110
      + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116 + 13*b117
      + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123 + 13*b124
      + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130 + 14*b131
      + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137 + 12*b138
      + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144 + 16*b145
      + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151 + 14*b152
      + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e7.. 5*b4681*b7957 + 6.5*b4682*b7958 + 7.5*b4683*b7959 + 8*b4684*b7960 + 5.5*
     b4685*b7961 + 7*b4686*b7962 + 7*b4687*b7963 + 5.5*b4688*b7964 + 6*b4689*
     b7965 + 7*b4690*b7966 + 5*b4691*b7967 + 7*b4692*b7968 + 8*b4693*b7969 + 7*
     b4694*b7970 + 6*b4695*b7971 + 6.5*b4696*b7972 + 7.5*b4697*b7973 + 6*b4698*
     b7974 + 5.5*b4699*b7975 + 7.5*b4700*b7976 + 6*b4701*b7977 + 5.5*b4702*
     b7978 + 5*b4703*b7979 + 7*b4704*b7980 + 5.5*b4705*b7981 + 7*b4706*b7982 + 
     6.5*b4707*b7983 + 7*b4708*b7984 + 6*b4709*b7985 + 6.5*b4710*b7986 + 5.5*
     b4711*b7987 + 8*b4712*b7988 + 8*b4713*b7989 + 6.5*b4714*b7990 + 7.5*b4715*
     b7991 + 6.5*b4716*b7992 + 7.5*b4717*b7993 + 5.5*b4718*b7994 + 5.5*b4719*
     b7995 + 5*b4720*b7996 + 5.5*b4721*b7997 + 7*b4722*b7998 + 8*b4723*b7999 + 
     5.5*b4724*b8000 + 7*b4725*b8001 + 8*b4726*b8002 + 7*b4727*b8003 + 8*b4728*
     b8004 + 6*b4729*b8005 + 7*b4730*b8006 + 7*b4731*b8007 + 5.5*b4732*b8008 + 
     8*b4733*b8009 + 5.5*b4734*b8010 + 6*b4735*b8011 + 6.5*b4736*b8012 + 5*
     b4737*b8013 + 6*b4738*b8014 + 6.5*b4739*b8015 + 6*b4740*b8016 + 6*b4741*
     b8017 + 5*b4742*b8018 + 6*b4743*b8019 + 7*b4744*b8020 + 6*b4745*b8021 + 
     7.5*b4746*b8022 + 6.5*b4747*b8023 + 6.5*b4748*b8024 + 6*b4749*b8025 + 6.5*
     b4750*b8026 + 5*b4751*b8027 + 5.5*b4752*b8028 + 5*b4753*b8029 + 5.5*b4754*
     b8030 + 5.5*b4755*b8031 + 7.5*b4756*b8032 + 5*b4757*b8033 + 7*b4758*b8034
      + 7.5*b4759*b8035 + 5*b4760*b8036 + 6.5*b4761*b8037 + 5*b4762*b8038 + 7.5
     *b4763*b8039 + 6*b4764*b8040 + 5.5*b4765*b8041 + 7.5*b4766*b8042 + 7*b4767
     *b8043 + 7*b4768*b8044 + 7.5*b4769*b8045 + 6*b4770*b8046 + 6.5*b4771*b8047
      + 6.5*b4772*b8048 + 8*b4773*b8049 + 8*b4774*b8050 + 6*b4775*b8051 + 7*
     b4776*b8052 + 8*b4777*b8053 + 7.5*b4778*b8054 + 5.5*b4779*b8055 + 7.5*
     b4780*b8056 + 8*b4781*b8057 + 7.5*b4782*b8058 + 7*b4783*b8059 + 6*b4784*
     b8060 + 6*b4785*b8061 + 6*b4786*b8062 + 7.5*b4787*b8063 + 6.5*b4788*b8064
      + 5*b4789*b8065 + 6*b4790*b8066 + 6.5*b4791*b8067 + 6*b4792*b8068 + 7*
     b4793*b8069 + 5*b4794*b8070 + 6*b4795*b8071 + 5.5*b4796*b8072 + 6.5*b4797*
     b8073 + 7.5*b4798*b8074 + 6.5*b4799*b8075 + 7*b4800*b8076 + 8*b4801*b8077
      + 7.5*b4802*b8078 + 8*b4803*b8079 + 6.5*b4804*b8080 + 7*b4805*b8081 + 6.5
     *b4806*b8082 + 7*b4807*b8083 + 7*b4808*b8084 + 5*b4809*b8085 + 5*b4810*
     b8086 + 7*b4811*b8087 + 7*b4812*b8088 + 5.5*b4813*b8089 + 6*b4814*b8090 + 
     7*b4815*b8091 + 6.5*b4816*b8092 + 8*b4817*b8093 + 6*b4818*b8094 + 6.5*
     b4819*b8095 + 7.5*b4820*b8096 + 6.5*b4821*b8097 + 6.5*b4822*b8098 + 8*
     b4823*b8099 + 6*b4824*b8100 + 8*b4825*b8101 + 6*b4826*b8102 + 7*b4827*
     b8103 + 7.5*b4828*b8104 + 6*b4829*b8105 + 7*b4830*b8106 + 8*b4831*b8107 + 
     7*b4832*b8108 + 6.5*b4833*b8109 + 7*b4834*b8110 + 7*b4835*b8111 + 5*b4836*
     b8112 + 5*b7957*b4681 + 6.5*b7958*b4682 + 7.5*b7959*b4683 + 8*b7960*b4684
      + 5.5*b7961*b4685 + 7*b7962*b4686 + 7*b7963*b4687 + 5.5*b7964*b4688 + 6*
     b7965*b4689 + 7*b7966*b4690 + 5*b7967*b4691 + 7*b7968*b4692 + 8*b7969*
     b4693 + 7*b7970*b4694 + 6*b7971*b4695 + 6.5*b7972*b4696 + 7.5*b7973*b4697
      + 6*b7974*b4698 + 5.5*b7975*b4699 + 7.5*b7976*b4700 + 6*b7977*b4701 + 5.5
     *b7978*b4702 + 5*b7979*b4703 + 7*b7980*b4704 + 5.5*b7981*b4705 + 7*b7982*
     b4706 + 6.5*b7983*b4707 + 7*b7984*b4708 + 6*b7985*b4709 + 6.5*b7986*b4710
      + 5.5*b7987*b4711 + 8*b7988*b4712 + 8*b7989*b4713 + 6.5*b7990*b4714 + 7.5
     *b7991*b4715 + 6.5*b7992*b4716 + 7.5*b7993*b4717 + 5.5*b7994*b4718 + 5.5*
     b7995*b4719 + 5*b7996*b4720 + 5.5*b7997*b4721 + 7*b7998*b4722 + 8*b7999*
     b4723 + 5.5*b8000*b4724 + 7*b8001*b4725 + 8*b8002*b4726 + 7*b8003*b4727 + 
     8*b8004*b4728 + 6*b8005*b4729 + 7*b8006*b4730 + 7*b8007*b4731 + 5.5*b8008*
     b4732 + 8*b8009*b4733 + 5.5*b8010*b4734 + 6*b8011*b4735 + 6.5*b8012*b4736
      + 5*b8013*b4737 + 6*b8014*b4738 + 6.5*b8015*b4739 + 6*b8016*b4740 + 6*
     b8017*b4741 + 5*b8018*b4742 + 6*b8019*b4743 + 7*b8020*b4744 + 6*b8021*
     b4745 + 7.5*b8022*b4746 + 6.5*b8023*b4747 + 6.5*b8024*b4748 + 6*b8025*
     b4749 + 6.5*b8026*b4750 + 5*b8027*b4751 + 5.5*b8028*b4752 + 5*b8029*b4753
      + 5.5*b8030*b4754 + 5.5*b8031*b4755 + 7.5*b8032*b4756 + 5*b8033*b4757 + 7
     *b8034*b4758 + 7.5*b8035*b4759 + 5*b8036*b4760 + 6.5*b8037*b4761 + 5*b8038
     *b4762 + 7.5*b8039*b4763 + 6*b8040*b4764 + 5.5*b8041*b4765 + 7.5*b8042*
     b4766 + 7*b8043*b4767 + 7*b8044*b4768 + 7.5*b8045*b4769 + 6*b8046*b4770 + 
     6.5*b8047*b4771 + 6.5*b8048*b4772 + 8*b8049*b4773 + 8*b8050*b4774 + 6*
     b8051*b4775 + 7*b8052*b4776 + 8*b8053*b4777 + 7.5*b8054*b4778 + 5.5*b8055*
     b4779 + 7.5*b8056*b4780 + 8*b8057*b4781 + 7.5*b8058*b4782 + 7*b8059*b4783
      + 6*b8060*b4784 + 6*b8061*b4785 + 6*b8062*b4786 + 7.5*b8063*b4787 + 6.5*
     b8064*b4788 + 5*b8065*b4789 + 6*b8066*b4790 + 6.5*b8067*b4791 + 6*b8068*
     b4792 + 7*b8069*b4793 + 5*b8070*b4794 + 6*b8071*b4795 + 5.5*b8072*b4796 + 
     6.5*b8073*b4797 + 7.5*b8074*b4798 + 6.5*b8075*b4799 + 7*b8076*b4800 + 8*
     b8077*b4801 + 7.5*b8078*b4802 + 8*b8079*b4803 + 6.5*b8080*b4804 + 7*b8081*
     b4805 + 6.5*b8082*b4806 + 7*b8083*b4807 + 7*b8084*b4808 + 5*b8085*b4809 + 
     5*b8086*b4810 + 7*b8087*b4811 + 7*b8088*b4812 + 5.5*b8089*b4813 + 6*b8090*
     b4814 + 7*b8091*b4815 + 6.5*b8092*b4816 + 8*b8093*b4817 + 6*b8094*b4818 + 
     6.5*b8095*b4819 + 7.5*b8096*b4820 + 6.5*b8097*b4821 + 6.5*b8098*b4822 + 8*
     b8099*b4823 + 6*b8100*b4824 + 8*b8101*b4825 + 6*b8102*b4826 + 7*b8103*
     b4827 + 7.5*b8104*b4828 + 6*b8105*b4829 + 7*b8106*b4830 + 8*b8107*b4831 + 
     7*b8108*b4832 + 6.5*b8109*b4833 + 7*b8110*b4834 + 7*b8111*b4835 + 5*b8112*
     b4836 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7 + 11*b8
      + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15 + 13*b16
      + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23 + 14*b24
      + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31 + 16*b32
      + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39 + 10*b40
      + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47 + 16*b48
      + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55 + 13*b56
      + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63 + 14*b64
      + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71 + 11*b72
      + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79 + 10*b80
      + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87 + 14*b88
      + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95 + 14*b96
      + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102 + 14*b103
      + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109 + 12*b110
      + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116 + 13*b117
      + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123 + 13*b124
      + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130 + 14*b131
      + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137 + 12*b138
      + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144 + 16*b145
      + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151 + 14*b152
      + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e8.. 5*b5461*b7957 + 6.5*b5462*b7958 + 7.5*b5463*b7959 + 8*b5464*b7960 + 5.5*
     b5465*b7961 + 7*b5466*b7962 + 7*b5467*b7963 + 5.5*b5468*b7964 + 6*b5469*
     b7965 + 7*b5470*b7966 + 5*b5471*b7967 + 7*b5472*b7968 + 8*b5473*b7969 + 7*
     b5474*b7970 + 6*b5475*b7971 + 6.5*b5476*b7972 + 7.5*b5477*b7973 + 6*b5478*
     b7974 + 5.5*b5479*b7975 + 7.5*b5480*b7976 + 6*b5481*b7977 + 5.5*b5482*
     b7978 + 5*b5483*b7979 + 7*b5484*b7980 + 5.5*b5485*b7981 + 7*b5486*b7982 + 
     6.5*b5487*b7983 + 7*b5488*b7984 + 6*b5489*b7985 + 6.5*b5490*b7986 + 5.5*
     b5491*b7987 + 8*b5492*b7988 + 8*b5493*b7989 + 6.5*b5494*b7990 + 7.5*b5495*
     b7991 + 6.5*b5496*b7992 + 7.5*b5497*b7993 + 5.5*b5498*b7994 + 5.5*b5499*
     b7995 + 5*b5500*b7996 + 5.5*b5501*b7997 + 7*b5502*b7998 + 8*b5503*b7999 + 
     5.5*b5504*b8000 + 7*b5505*b8001 + 8*b5506*b8002 + 7*b5507*b8003 + 8*b5508*
     b8004 + 6*b5509*b8005 + 7*b5510*b8006 + 7*b5511*b8007 + 5.5*b5512*b8008 + 
     8*b5513*b8009 + 5.5*b5514*b8010 + 6*b5515*b8011 + 6.5*b5516*b8012 + 5*
     b5517*b8013 + 6*b5518*b8014 + 6.5*b5519*b8015 + 6*b5520*b8016 + 6*b5521*
     b8017 + 5*b5522*b8018 + 6*b5523*b8019 + 7*b5524*b8020 + 6*b5525*b8021 + 
     7.5*b5526*b8022 + 6.5*b5527*b8023 + 6.5*b5528*b8024 + 6*b5529*b8025 + 6.5*
     b5530*b8026 + 5*b5531*b8027 + 5.5*b5532*b8028 + 5*b5533*b8029 + 5.5*b5534*
     b8030 + 5.5*b5535*b8031 + 7.5*b5536*b8032 + 5*b5537*b8033 + 7*b5538*b8034
      + 7.5*b5539*b8035 + 5*b5540*b8036 + 6.5*b5541*b8037 + 5*b5542*b8038 + 7.5
     *b5543*b8039 + 6*b5544*b8040 + 5.5*b5545*b8041 + 7.5*b5546*b8042 + 7*b5547
     *b8043 + 7*b5548*b8044 + 7.5*b5549*b8045 + 6*b5550*b8046 + 6.5*b5551*b8047
      + 6.5*b5552*b8048 + 8*b5553*b8049 + 8*b5554*b8050 + 6*b5555*b8051 + 7*
     b5556*b8052 + 8*b5557*b8053 + 7.5*b5558*b8054 + 5.5*b5559*b8055 + 7.5*
     b5560*b8056 + 8*b5561*b8057 + 7.5*b5562*b8058 + 7*b5563*b8059 + 6*b5564*
     b8060 + 6*b5565*b8061 + 6*b5566*b8062 + 7.5*b5567*b8063 + 6.5*b5568*b8064
      + 5*b5569*b8065 + 6*b5570*b8066 + 6.5*b5571*b8067 + 6*b5572*b8068 + 7*
     b5573*b8069 + 5*b5574*b8070 + 6*b5575*b8071 + 5.5*b5576*b8072 + 6.5*b5577*
     b8073 + 7.5*b5578*b8074 + 6.5*b5579*b8075 + 7*b5580*b8076 + 8*b5581*b8077
      + 7.5*b5582*b8078 + 8*b5583*b8079 + 6.5*b5584*b8080 + 7*b5585*b8081 + 6.5
     *b5586*b8082 + 7*b5587*b8083 + 7*b5588*b8084 + 5*b5589*b8085 + 5*b5590*
     b8086 + 7*b5591*b8087 + 7*b5592*b8088 + 5.5*b5593*b8089 + 6*b5594*b8090 + 
     7*b5595*b8091 + 6.5*b5596*b8092 + 8*b5597*b8093 + 6*b5598*b8094 + 6.5*
     b5599*b8095 + 7.5*b5600*b8096 + 6.5*b5601*b8097 + 6.5*b5602*b8098 + 8*
     b5603*b8099 + 6*b5604*b8100 + 8*b5605*b8101 + 6*b5606*b8102 + 7*b5607*
     b8103 + 7.5*b5608*b8104 + 6*b5609*b8105 + 7*b5610*b8106 + 8*b5611*b8107 + 
     7*b5612*b8108 + 6.5*b5613*b8109 + 7*b5614*b8110 + 7*b5615*b8111 + 5*b5616*
     b8112 + 5*b7957*b5461 + 6.5*b7958*b5462 + 7.5*b7959*b5463 + 8*b7960*b5464
      + 5.5*b7961*b5465 + 7*b7962*b5466 + 7*b7963*b5467 + 5.5*b7964*b5468 + 6*
     b7965*b5469 + 7*b7966*b5470 + 5*b7967*b5471 + 7*b7968*b5472 + 8*b7969*
     b5473 + 7*b7970*b5474 + 6*b7971*b5475 + 6.5*b7972*b5476 + 7.5*b7973*b5477
      + 6*b7974*b5478 + 5.5*b7975*b5479 + 7.5*b7976*b5480 + 6*b7977*b5481 + 5.5
     *b7978*b5482 + 5*b7979*b5483 + 7*b7980*b5484 + 5.5*b7981*b5485 + 7*b7982*
     b5486 + 6.5*b7983*b5487 + 7*b7984*b5488 + 6*b7985*b5489 + 6.5*b7986*b5490
      + 5.5*b7987*b5491 + 8*b7988*b5492 + 8*b7989*b5493 + 6.5*b7990*b5494 + 7.5
     *b7991*b5495 + 6.5*b7992*b5496 + 7.5*b7993*b5497 + 5.5*b7994*b5498 + 5.5*
     b7995*b5499 + 5*b7996*b5500 + 5.5*b7997*b5501 + 7*b7998*b5502 + 8*b7999*
     b5503 + 5.5*b8000*b5504 + 7*b8001*b5505 + 8*b8002*b5506 + 7*b8003*b5507 + 
     8*b8004*b5508 + 6*b8005*b5509 + 7*b8006*b5510 + 7*b8007*b5511 + 5.5*b8008*
     b5512 + 8*b8009*b5513 + 5.5*b8010*b5514 + 6*b8011*b5515 + 6.5*b8012*b5516
      + 5*b8013*b5517 + 6*b8014*b5518 + 6.5*b8015*b5519 + 6*b8016*b5520 + 6*
     b8017*b5521 + 5*b8018*b5522 + 6*b8019*b5523 + 7*b8020*b5524 + 6*b8021*
     b5525 + 7.5*b8022*b5526 + 6.5*b8023*b5527 + 6.5*b8024*b5528 + 6*b8025*
     b5529 + 6.5*b8026*b5530 + 5*b8027*b5531 + 5.5*b8028*b5532 + 5*b8029*b5533
      + 5.5*b8030*b5534 + 5.5*b8031*b5535 + 7.5*b8032*b5536 + 5*b8033*b5537 + 7
     *b8034*b5538 + 7.5*b8035*b5539 + 5*b8036*b5540 + 6.5*b8037*b5541 + 5*b8038
     *b5542 + 7.5*b8039*b5543 + 6*b8040*b5544 + 5.5*b8041*b5545 + 7.5*b8042*
     b5546 + 7*b8043*b5547 + 7*b8044*b5548 + 7.5*b8045*b5549 + 6*b8046*b5550 + 
     6.5*b8047*b5551 + 6.5*b8048*b5552 + 8*b8049*b5553 + 8*b8050*b5554 + 6*
     b8051*b5555 + 7*b8052*b5556 + 8*b8053*b5557 + 7.5*b8054*b5558 + 5.5*b8055*
     b5559 + 7.5*b8056*b5560 + 8*b8057*b5561 + 7.5*b8058*b5562 + 7*b8059*b5563
      + 6*b8060*b5564 + 6*b8061*b5565 + 6*b8062*b5566 + 7.5*b8063*b5567 + 6.5*
     b8064*b5568 + 5*b8065*b5569 + 6*b8066*b5570 + 6.5*b8067*b5571 + 6*b8068*
     b5572 + 7*b8069*b5573 + 5*b8070*b5574 + 6*b8071*b5575 + 5.5*b8072*b5576 + 
     6.5*b8073*b5577 + 7.5*b8074*b5578 + 6.5*b8075*b5579 + 7*b8076*b5580 + 8*
     b8077*b5581 + 7.5*b8078*b5582 + 8*b8079*b5583 + 6.5*b8080*b5584 + 7*b8081*
     b5585 + 6.5*b8082*b5586 + 7*b8083*b5587 + 7*b8084*b5588 + 5*b8085*b5589 + 
     5*b8086*b5590 + 7*b8087*b5591 + 7*b8088*b5592 + 5.5*b8089*b5593 + 6*b8090*
     b5594 + 7*b8091*b5595 + 6.5*b8092*b5596 + 8*b8093*b5597 + 6*b8094*b5598 + 
     6.5*b8095*b5599 + 7.5*b8096*b5600 + 6.5*b8097*b5601 + 6.5*b8098*b5602 + 8*
     b8099*b5603 + 6*b8100*b5604 + 8*b8101*b5605 + 6*b8102*b5606 + 7*b8103*
     b5607 + 7.5*b8104*b5608 + 6*b8105*b5609 + 7*b8106*b5610 + 8*b8107*b5611 + 
     7*b8108*b5612 + 6.5*b8109*b5613 + 7*b8110*b5614 + 7*b8111*b5615 + 5*b8112*
     b5616 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7 + 11*b8
      + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15 + 13*b16
      + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23 + 14*b24
      + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31 + 16*b32
      + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39 + 10*b40
      + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47 + 16*b48
      + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55 + 13*b56
      + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63 + 14*b64
      + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71 + 11*b72
      + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79 + 10*b80
      + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87 + 14*b88
      + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95 + 14*b96
      + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102 + 14*b103
      + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109 + 12*b110
      + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116 + 13*b117
      + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123 + 13*b124
      + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130 + 14*b131
      + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137 + 12*b138
      + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144 + 16*b145
      + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151 + 14*b152
      + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e9.. 5*b5929*b7957 + 6.5*b5930*b7958 + 7.5*b5931*b7959 + 8*b5932*b7960 + 5.5*
     b5933*b7961 + 7*b5934*b7962 + 7*b5935*b7963 + 5.5*b5936*b7964 + 6*b5937*
     b7965 + 7*b5938*b7966 + 5*b5939*b7967 + 7*b5940*b7968 + 8*b5941*b7969 + 7*
     b5942*b7970 + 6*b5943*b7971 + 6.5*b5944*b7972 + 7.5*b5945*b7973 + 6*b5946*
     b7974 + 5.5*b5947*b7975 + 7.5*b5948*b7976 + 6*b5949*b7977 + 5.5*b5950*
     b7978 + 5*b5951*b7979 + 7*b5952*b7980 + 5.5*b5953*b7981 + 7*b5954*b7982 + 
     6.5*b5955*b7983 + 7*b5956*b7984 + 6*b5957*b7985 + 6.5*b5958*b7986 + 5.5*
     b5959*b7987 + 8*b5960*b7988 + 8*b5961*b7989 + 6.5*b5962*b7990 + 7.5*b5963*
     b7991 + 6.5*b5964*b7992 + 7.5*b5965*b7993 + 5.5*b5966*b7994 + 5.5*b5967*
     b7995 + 5*b5968*b7996 + 5.5*b5969*b7997 + 7*b5970*b7998 + 8*b5971*b7999 + 
     5.5*b5972*b8000 + 7*b5973*b8001 + 8*b5974*b8002 + 7*b5975*b8003 + 8*b5976*
     b8004 + 6*b5977*b8005 + 7*b5978*b8006 + 7*b5979*b8007 + 5.5*b5980*b8008 + 
     8*b5981*b8009 + 5.5*b5982*b8010 + 6*b5983*b8011 + 6.5*b5984*b8012 + 5*
     b5985*b8013 + 6*b5986*b8014 + 6.5*b5987*b8015 + 6*b5988*b8016 + 6*b5989*
     b8017 + 5*b5990*b8018 + 6*b5991*b8019 + 7*b5992*b8020 + 6*b5993*b8021 + 
     7.5*b5994*b8022 + 6.5*b5995*b8023 + 6.5*b5996*b8024 + 6*b5997*b8025 + 6.5*
     b5998*b8026 + 5*b5999*b8027 + 5.5*b6000*b8028 + 5*b6001*b8029 + 5.5*b6002*
     b8030 + 5.5*b6003*b8031 + 7.5*b6004*b8032 + 5*b6005*b8033 + 7*b6006*b8034
      + 7.5*b6007*b8035 + 5*b6008*b8036 + 6.5*b6009*b8037 + 5*b6010*b8038 + 7.5
     *b6011*b8039 + 6*b6012*b8040 + 5.5*b6013*b8041 + 7.5*b6014*b8042 + 7*b6015
     *b8043 + 7*b6016*b8044 + 7.5*b6017*b8045 + 6*b6018*b8046 + 6.5*b6019*b8047
      + 6.5*b6020*b8048 + 8*b6021*b8049 + 8*b6022*b8050 + 6*b6023*b8051 + 7*
     b6024*b8052 + 8*b6025*b8053 + 7.5*b6026*b8054 + 5.5*b6027*b8055 + 7.5*
     b6028*b8056 + 8*b6029*b8057 + 7.5*b6030*b8058 + 7*b6031*b8059 + 6*b6032*
     b8060 + 6*b6033*b8061 + 6*b6034*b8062 + 7.5*b6035*b8063 + 6.5*b6036*b8064
      + 5*b6037*b8065 + 6*b6038*b8066 + 6.5*b6039*b8067 + 6*b6040*b8068 + 7*
     b6041*b8069 + 5*b6042*b8070 + 6*b6043*b8071 + 5.5*b6044*b8072 + 6.5*b6045*
     b8073 + 7.5*b6046*b8074 + 6.5*b6047*b8075 + 7*b6048*b8076 + 8*b6049*b8077
      + 7.5*b6050*b8078 + 8*b6051*b8079 + 6.5*b6052*b8080 + 7*b6053*b8081 + 6.5
     *b6054*b8082 + 7*b6055*b8083 + 7*b6056*b8084 + 5*b6057*b8085 + 5*b6058*
     b8086 + 7*b6059*b8087 + 7*b6060*b8088 + 5.5*b6061*b8089 + 6*b6062*b8090 + 
     7*b6063*b8091 + 6.5*b6064*b8092 + 8*b6065*b8093 + 6*b6066*b8094 + 6.5*
     b6067*b8095 + 7.5*b6068*b8096 + 6.5*b6069*b8097 + 6.5*b6070*b8098 + 8*
     b6071*b8099 + 6*b6072*b8100 + 8*b6073*b8101 + 6*b6074*b8102 + 7*b6075*
     b8103 + 7.5*b6076*b8104 + 6*b6077*b8105 + 7*b6078*b8106 + 8*b6079*b8107 + 
     7*b6080*b8108 + 6.5*b6081*b8109 + 7*b6082*b8110 + 7*b6083*b8111 + 5*b6084*
     b8112 + 5*b7957*b5929 + 6.5*b7958*b5930 + 7.5*b7959*b5931 + 8*b7960*b5932
      + 5.5*b7961*b5933 + 7*b7962*b5934 + 7*b7963*b5935 + 5.5*b7964*b5936 + 6*
     b7965*b5937 + 7*b7966*b5938 + 5*b7967*b5939 + 7*b7968*b5940 + 8*b7969*
     b5941 + 7*b7970*b5942 + 6*b7971*b5943 + 6.5*b7972*b5944 + 7.5*b7973*b5945
      + 6*b7974*b5946 + 5.5*b7975*b5947 + 7.5*b7976*b5948 + 6*b7977*b5949 + 5.5
     *b7978*b5950 + 5*b7979*b5951 + 7*b7980*b5952 + 5.5*b7981*b5953 + 7*b7982*
     b5954 + 6.5*b7983*b5955 + 7*b7984*b5956 + 6*b7985*b5957 + 6.5*b7986*b5958
      + 5.5*b7987*b5959 + 8*b7988*b5960 + 8*b7989*b5961 + 6.5*b7990*b5962 + 7.5
     *b7991*b5963 + 6.5*b7992*b5964 + 7.5*b7993*b5965 + 5.5*b7994*b5966 + 5.5*
     b7995*b5967 + 5*b7996*b5968 + 5.5*b7997*b5969 + 7*b7998*b5970 + 8*b7999*
     b5971 + 5.5*b8000*b5972 + 7*b8001*b5973 + 8*b8002*b5974 + 7*b8003*b5975 + 
     8*b8004*b5976 + 6*b8005*b5977 + 7*b8006*b5978 + 7*b8007*b5979 + 5.5*b8008*
     b5980 + 8*b8009*b5981 + 5.5*b8010*b5982 + 6*b8011*b5983 + 6.5*b8012*b5984
      + 5*b8013*b5985 + 6*b8014*b5986 + 6.5*b8015*b5987 + 6*b8016*b5988 + 6*
     b8017*b5989 + 5*b8018*b5990 + 6*b8019*b5991 + 7*b8020*b5992 + 6*b8021*
     b5993 + 7.5*b8022*b5994 + 6.5*b8023*b5995 + 6.5*b8024*b5996 + 6*b8025*
     b5997 + 6.5*b8026*b5998 + 5*b8027*b5999 + 5.5*b8028*b6000 + 5*b8029*b6001
      + 5.5*b8030*b6002 + 5.5*b8031*b6003 + 7.5*b8032*b6004 + 5*b8033*b6005 + 7
     *b8034*b6006 + 7.5*b8035*b6007 + 5*b8036*b6008 + 6.5*b8037*b6009 + 5*b8038
     *b6010 + 7.5*b8039*b6011 + 6*b8040*b6012 + 5.5*b8041*b6013 + 7.5*b8042*
     b6014 + 7*b8043*b6015 + 7*b8044*b6016 + 7.5*b8045*b6017 + 6*b8046*b6018 + 
     6.5*b8047*b6019 + 6.5*b8048*b6020 + 8*b8049*b6021 + 8*b8050*b6022 + 6*
     b8051*b6023 + 7*b8052*b6024 + 8*b8053*b6025 + 7.5*b8054*b6026 + 5.5*b8055*
     b6027 + 7.5*b8056*b6028 + 8*b8057*b6029 + 7.5*b8058*b6030 + 7*b8059*b6031
      + 6*b8060*b6032 + 6*b8061*b6033 + 6*b8062*b6034 + 7.5*b8063*b6035 + 6.5*
     b8064*b6036 + 5*b8065*b6037 + 6*b8066*b6038 + 6.5*b8067*b6039 + 6*b8068*
     b6040 + 7*b8069*b6041 + 5*b8070*b6042 + 6*b8071*b6043 + 5.5*b8072*b6044 + 
     6.5*b8073*b6045 + 7.5*b8074*b6046 + 6.5*b8075*b6047 + 7*b8076*b6048 + 8*
     b8077*b6049 + 7.5*b8078*b6050 + 8*b8079*b6051 + 6.5*b8080*b6052 + 7*b8081*
     b6053 + 6.5*b8082*b6054 + 7*b8083*b6055 + 7*b8084*b6056 + 5*b8085*b6057 + 
     5*b8086*b6058 + 7*b8087*b6059 + 7*b8088*b6060 + 5.5*b8089*b6061 + 6*b8090*
     b6062 + 7*b8091*b6063 + 6.5*b8092*b6064 + 8*b8093*b6065 + 6*b8094*b6066 + 
     6.5*b8095*b6067 + 7.5*b8096*b6068 + 6.5*b8097*b6069 + 6.5*b8098*b6070 + 8*
     b8099*b6071 + 6*b8100*b6072 + 8*b8101*b6073 + 6*b8102*b6074 + 7*b8103*
     b6075 + 7.5*b8104*b6076 + 6*b8105*b6077 + 7*b8106*b6078 + 8*b8107*b6079 + 
     7*b8108*b6080 + 6.5*b8109*b6081 + 7*b8110*b6082 + 7*b8111*b6083 + 5*b8112*
     b6084 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7 + 11*b8
      + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15 + 13*b16
      + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23 + 14*b24
      + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31 + 16*b32
      + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39 + 10*b40
      + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47 + 16*b48
      + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55 + 13*b56
      + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63 + 14*b64
      + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71 + 11*b72
      + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79 + 10*b80
      + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87 + 14*b88
      + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95 + 14*b96
      + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102 + 14*b103
      + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109 + 12*b110
      + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116 + 13*b117
      + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123 + 13*b124
      + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130 + 14*b131
      + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137 + 12*b138
      + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144 + 16*b145
      + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151 + 14*b152
      + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e10.. 5*b7021*b7957 + 6.5*b7022*b7958 + 7.5*b7023*b7959 + 8*b7024*b7960 + 5.5*
      b7025*b7961 + 7*b7026*b7962 + 7*b7027*b7963 + 5.5*b7028*b7964 + 6*b7029*
      b7965 + 7*b7030*b7966 + 5*b7031*b7967 + 7*b7032*b7968 + 8*b7033*b7969 + 7
      *b7034*b7970 + 6*b7035*b7971 + 6.5*b7036*b7972 + 7.5*b7037*b7973 + 6*
      b7038*b7974 + 5.5*b7039*b7975 + 7.5*b7040*b7976 + 6*b7041*b7977 + 5.5*
      b7042*b7978 + 5*b7043*b7979 + 7*b7044*b7980 + 5.5*b7045*b7981 + 7*b7046*
      b7982 + 6.5*b7047*b7983 + 7*b7048*b7984 + 6*b7049*b7985 + 6.5*b7050*b7986
       + 5.5*b7051*b7987 + 8*b7052*b7988 + 8*b7053*b7989 + 6.5*b7054*b7990 + 
      7.5*b7055*b7991 + 6.5*b7056*b7992 + 7.5*b7057*b7993 + 5.5*b7058*b7994 + 
      5.5*b7059*b7995 + 5*b7060*b7996 + 5.5*b7061*b7997 + 7*b7062*b7998 + 8*
      b7063*b7999 + 5.5*b7064*b8000 + 7*b7065*b8001 + 8*b7066*b8002 + 7*b7067*
      b8003 + 8*b7068*b8004 + 6*b7069*b8005 + 7*b7070*b8006 + 7*b7071*b8007 + 
      5.5*b7072*b8008 + 8*b7073*b8009 + 5.5*b7074*b8010 + 6*b7075*b8011 + 6.5*
      b7076*b8012 + 5*b7077*b8013 + 6*b7078*b8014 + 6.5*b7079*b8015 + 6*b7080*
      b8016 + 6*b7081*b8017 + 5*b7082*b8018 + 6*b7083*b8019 + 7*b7084*b8020 + 6
      *b7085*b8021 + 7.5*b7086*b8022 + 6.5*b7087*b8023 + 6.5*b7088*b8024 + 6*
      b7089*b8025 + 6.5*b7090*b8026 + 5*b7091*b8027 + 5.5*b7092*b8028 + 5*b7093
      *b8029 + 5.5*b7094*b8030 + 5.5*b7095*b8031 + 7.5*b7096*b8032 + 5*b7097*
      b8033 + 7*b7098*b8034 + 7.5*b7099*b8035 + 5*b7100*b8036 + 6.5*b7101*b8037
       + 5*b7102*b8038 + 7.5*b7103*b8039 + 6*b7104*b8040 + 5.5*b7105*b8041 + 
      7.5*b7106*b8042 + 7*b7107*b8043 + 7*b7108*b8044 + 7.5*b7109*b8045 + 6*
      b7110*b8046 + 6.5*b7111*b8047 + 6.5*b7112*b8048 + 8*b7113*b8049 + 8*b7114
      *b8050 + 6*b7115*b8051 + 7*b7116*b8052 + 8*b7117*b8053 + 7.5*b7118*b8054
       + 5.5*b7119*b8055 + 7.5*b7120*b8056 + 8*b7121*b8057 + 7.5*b7122*b8058 + 
      7*b7123*b8059 + 6*b7124*b8060 + 6*b7125*b8061 + 6*b7126*b8062 + 7.5*b7127
      *b8063 + 6.5*b7128*b8064 + 5*b7129*b8065 + 6*b7130*b8066 + 6.5*b7131*
      b8067 + 6*b7132*b8068 + 7*b7133*b8069 + 5*b7134*b8070 + 6*b7135*b8071 + 
      5.5*b7136*b8072 + 6.5*b7137*b8073 + 7.5*b7138*b8074 + 6.5*b7139*b8075 + 7
      *b7140*b8076 + 8*b7141*b8077 + 7.5*b7142*b8078 + 8*b7143*b8079 + 6.5*
      b7144*b8080 + 7*b7145*b8081 + 6.5*b7146*b8082 + 7*b7147*b8083 + 7*b7148*
      b8084 + 5*b7149*b8085 + 5*b7150*b8086 + 7*b7151*b8087 + 7*b7152*b8088 + 
      5.5*b7153*b8089 + 6*b7154*b8090 + 7*b7155*b8091 + 6.5*b7156*b8092 + 8*
      b7157*b8093 + 6*b7158*b8094 + 6.5*b7159*b8095 + 7.5*b7160*b8096 + 6.5*
      b7161*b8097 + 6.5*b7162*b8098 + 8*b7163*b8099 + 6*b7164*b8100 + 8*b7165*
      b8101 + 6*b7166*b8102 + 7*b7167*b8103 + 7.5*b7168*b8104 + 6*b7169*b8105
       + 7*b7170*b8106 + 8*b7171*b8107 + 7*b7172*b8108 + 6.5*b7173*b8109 + 7*
      b7174*b8110 + 7*b7175*b8111 + 5*b7176*b8112 + 5*b7957*b7021 + 6.5*b7958*
      b7022 + 7.5*b7959*b7023 + 8*b7960*b7024 + 5.5*b7961*b7025 + 7*b7962*b7026
       + 7*b7963*b7027 + 5.5*b7964*b7028 + 6*b7965*b7029 + 7*b7966*b7030 + 5*
      b7967*b7031 + 7*b7968*b7032 + 8*b7969*b7033 + 7*b7970*b7034 + 6*b7971*
      b7035 + 6.5*b7972*b7036 + 7.5*b7973*b7037 + 6*b7974*b7038 + 5.5*b7975*
      b7039 + 7.5*b7976*b7040 + 6*b7977*b7041 + 5.5*b7978*b7042 + 5*b7979*b7043
       + 7*b7980*b7044 + 5.5*b7981*b7045 + 7*b7982*b7046 + 6.5*b7983*b7047 + 7*
      b7984*b7048 + 6*b7985*b7049 + 6.5*b7986*b7050 + 5.5*b7987*b7051 + 8*b7988
      *b7052 + 8*b7989*b7053 + 6.5*b7990*b7054 + 7.5*b7991*b7055 + 6.5*b7992*
      b7056 + 7.5*b7993*b7057 + 5.5*b7994*b7058 + 5.5*b7995*b7059 + 5*b7996*
      b7060 + 5.5*b7997*b7061 + 7*b7998*b7062 + 8*b7999*b7063 + 5.5*b8000*b7064
       + 7*b8001*b7065 + 8*b8002*b7066 + 7*b8003*b7067 + 8*b8004*b7068 + 6*
      b8005*b7069 + 7*b8006*b7070 + 7*b8007*b7071 + 5.5*b8008*b7072 + 8*b8009*
      b7073 + 5.5*b8010*b7074 + 6*b8011*b7075 + 6.5*b8012*b7076 + 5*b8013*b7077
       + 6*b8014*b7078 + 6.5*b8015*b7079 + 6*b8016*b7080 + 6*b8017*b7081 + 5*
      b8018*b7082 + 6*b8019*b7083 + 7*b8020*b7084 + 6*b8021*b7085 + 7.5*b8022*
      b7086 + 6.5*b8023*b7087 + 6.5*b8024*b7088 + 6*b8025*b7089 + 6.5*b8026*
      b7090 + 5*b8027*b7091 + 5.5*b8028*b7092 + 5*b8029*b7093 + 5.5*b8030*b7094
       + 5.5*b8031*b7095 + 7.5*b8032*b7096 + 5*b8033*b7097 + 7*b8034*b7098 + 
      7.5*b8035*b7099 + 5*b8036*b7100 + 6.5*b8037*b7101 + 5*b8038*b7102 + 7.5*
      b8039*b7103 + 6*b8040*b7104 + 5.5*b8041*b7105 + 7.5*b8042*b7106 + 7*b8043
      *b7107 + 7*b8044*b7108 + 7.5*b8045*b7109 + 6*b8046*b7110 + 6.5*b8047*
      b7111 + 6.5*b8048*b7112 + 8*b8049*b7113 + 8*b8050*b7114 + 6*b8051*b7115
       + 7*b8052*b7116 + 8*b8053*b7117 + 7.5*b8054*b7118 + 5.5*b8055*b7119 + 
      7.5*b8056*b7120 + 8*b8057*b7121 + 7.5*b8058*b7122 + 7*b8059*b7123 + 6*
      b8060*b7124 + 6*b8061*b7125 + 6*b8062*b7126 + 7.5*b8063*b7127 + 6.5*b8064
      *b7128 + 5*b8065*b7129 + 6*b8066*b7130 + 6.5*b8067*b7131 + 6*b8068*b7132
       + 7*b8069*b7133 + 5*b8070*b7134 + 6*b8071*b7135 + 5.5*b8072*b7136 + 6.5*
      b8073*b7137 + 7.5*b8074*b7138 + 6.5*b8075*b7139 + 7*b8076*b7140 + 8*b8077
      *b7141 + 7.5*b8078*b7142 + 8*b8079*b7143 + 6.5*b8080*b7144 + 7*b8081*
      b7145 + 6.5*b8082*b7146 + 7*b8083*b7147 + 7*b8084*b7148 + 5*b8085*b7149
       + 5*b8086*b7150 + 7*b8087*b7151 + 7*b8088*b7152 + 5.5*b8089*b7153 + 6*
      b8090*b7154 + 7*b8091*b7155 + 6.5*b8092*b7156 + 8*b8093*b7157 + 6*b8094*
      b7158 + 6.5*b8095*b7159 + 7.5*b8096*b7160 + 6.5*b8097*b7161 + 6.5*b8098*
      b7162 + 8*b8099*b7163 + 6*b8100*b7164 + 8*b8101*b7165 + 6*b8102*b7166 + 7
      *b8103*b7167 + 7.5*b8104*b7168 + 6*b8105*b7169 + 7*b8106*b7170 + 8*b8107*
      b7171 + 7*b8108*b7172 + 6.5*b8109*b7173 + 7*b8110*b7174 + 7*b8111*b7175
       + 5*b8112*b7176 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e11.. 5*b157*b7957 + 6.5*b158*b7958 + 7.5*b159*b7959 + 8*b160*b7960 + 5.5*b161*
      b7961 + 7*b162*b7962 + 7*b163*b7963 + 5.5*b164*b7964 + 6*b165*b7965 + 7*
      b166*b7966 + 5*b167*b7967 + 7*b168*b7968 + 8*b169*b7969 + 7*b170*b7970 + 
      6*b171*b7971 + 6.5*b172*b7972 + 7.5*b173*b7973 + 6*b174*b7974 + 5.5*b175*
      b7975 + 7.5*b176*b7976 + 6*b177*b7977 + 5.5*b178*b7978 + 5*b179*b7979 + 7
      *b180*b7980 + 5.5*b181*b7981 + 7*b182*b7982 + 6.5*b183*b7983 + 7*b184*
      b7984 + 6*b185*b7985 + 6.5*b186*b7986 + 5.5*b187*b7987 + 8*b188*b7988 + 8
      *b189*b7989 + 6.5*b190*b7990 + 7.5*b191*b7991 + 6.5*b192*b7992 + 7.5*b193
      *b7993 + 5.5*b194*b7994 + 5.5*b195*b7995 + 5*b196*b7996 + 5.5*b197*b7997
       + 7*b198*b7998 + 8*b199*b7999 + 5.5*b200*b8000 + 7*b201*b8001 + 8*b202*
      b8002 + 7*b203*b8003 + 8*b204*b8004 + 6*b205*b8005 + 7*b206*b8006 + 7*
      b207*b8007 + 5.5*b208*b8008 + 8*b209*b8009 + 5.5*b210*b8010 + 6*b211*
      b8011 + 6.5*b212*b8012 + 5*b213*b8013 + 6*b214*b8014 + 6.5*b215*b8015 + 6
      *b216*b8016 + 6*b217*b8017 + 5*b218*b8018 + 6*b219*b8019 + 7*b220*b8020
       + 6*b221*b8021 + 7.5*b222*b8022 + 6.5*b223*b8023 + 6.5*b224*b8024 + 6*
      b225*b8025 + 6.5*b226*b8026 + 5*b227*b8027 + 5.5*b228*b8028 + 5*b229*
      b8029 + 5.5*b230*b8030 + 5.5*b231*b8031 + 7.5*b232*b8032 + 5*b233*b8033
       + 7*b234*b8034 + 7.5*b235*b8035 + 5*b236*b8036 + 6.5*b237*b8037 + 5*b238
      *b8038 + 7.5*b239*b8039 + 6*b240*b8040 + 5.5*b241*b8041 + 7.5*b242*b8042
       + 7*b243*b8043 + 7*b244*b8044 + 7.5*b245*b8045 + 6*b246*b8046 + 6.5*b247
      *b8047 + 6.5*b248*b8048 + 8*b249*b8049 + 8*b250*b8050 + 6*b251*b8051 + 7*
      b252*b8052 + 8*b253*b8053 + 7.5*b254*b8054 + 5.5*b255*b8055 + 7.5*b256*
      b8056 + 8*b257*b8057 + 7.5*b258*b8058 + 7*b259*b8059 + 6*b260*b8060 + 6*
      b261*b8061 + 6*b262*b8062 + 7.5*b263*b8063 + 6.5*b264*b8064 + 5*b265*
      b8065 + 6*b266*b8066 + 6.5*b267*b8067 + 6*b268*b8068 + 7*b269*b8069 + 5*
      b270*b8070 + 6*b271*b8071 + 5.5*b272*b8072 + 6.5*b273*b8073 + 7.5*b274*
      b8074 + 6.5*b275*b8075 + 7*b276*b8076 + 8*b277*b8077 + 7.5*b278*b8078 + 8
      *b279*b8079 + 6.5*b280*b8080 + 7*b281*b8081 + 6.5*b282*b8082 + 7*b283*
      b8083 + 7*b284*b8084 + 5*b285*b8085 + 5*b286*b8086 + 7*b287*b8087 + 7*
      b288*b8088 + 5.5*b289*b8089 + 6*b290*b8090 + 7*b291*b8091 + 6.5*b292*
      b8092 + 8*b293*b8093 + 6*b294*b8094 + 6.5*b295*b8095 + 7.5*b296*b8096 + 
      6.5*b297*b8097 + 6.5*b298*b8098 + 8*b299*b8099 + 6*b300*b8100 + 8*b301*
      b8101 + 6*b302*b8102 + 7*b303*b8103 + 7.5*b304*b8104 + 6*b305*b8105 + 7*
      b306*b8106 + 8*b307*b8107 + 7*b308*b8108 + 6.5*b309*b8109 + 7*b310*b8110
       + 7*b311*b8111 + 5*b312*b8112 + 5*b7957*b157 + 6.5*b7958*b158 + 7.5*
      b7959*b159 + 8*b7960*b160 + 5.5*b7961*b161 + 7*b7962*b162 + 7*b7963*b163
       + 5.5*b7964*b164 + 6*b7965*b165 + 7*b7966*b166 + 5*b7967*b167 + 7*b7968*
      b168 + 8*b7969*b169 + 7*b7970*b170 + 6*b7971*b171 + 6.5*b7972*b172 + 7.5*
      b7973*b173 + 6*b7974*b174 + 5.5*b7975*b175 + 7.5*b7976*b176 + 6*b7977*
      b177 + 5.5*b7978*b178 + 5*b7979*b179 + 7*b7980*b180 + 5.5*b7981*b181 + 7*
      b7982*b182 + 6.5*b7983*b183 + 7*b7984*b184 + 6*b7985*b185 + 6.5*b7986*
      b186 + 5.5*b7987*b187 + 8*b7988*b188 + 8*b7989*b189 + 6.5*b7990*b190 + 
      7.5*b7991*b191 + 6.5*b7992*b192 + 7.5*b7993*b193 + 5.5*b7994*b194 + 5.5*
      b7995*b195 + 5*b7996*b196 + 5.5*b7997*b197 + 7*b7998*b198 + 8*b7999*b199
       + 5.5*b8000*b200 + 7*b8001*b201 + 8*b8002*b202 + 7*b8003*b203 + 8*b8004*
      b204 + 6*b8005*b205 + 7*b8006*b206 + 7*b8007*b207 + 5.5*b8008*b208 + 8*
      b8009*b209 + 5.5*b8010*b210 + 6*b8011*b211 + 6.5*b8012*b212 + 5*b8013*
      b213 + 6*b8014*b214 + 6.5*b8015*b215 + 6*b8016*b216 + 6*b8017*b217 + 5*
      b8018*b218 + 6*b8019*b219 + 7*b8020*b220 + 6*b8021*b221 + 7.5*b8022*b222
       + 6.5*b8023*b223 + 6.5*b8024*b224 + 6*b8025*b225 + 6.5*b8026*b226 + 5*
      b8027*b227 + 5.5*b8028*b228 + 5*b8029*b229 + 5.5*b8030*b230 + 5.5*b8031*
      b231 + 7.5*b8032*b232 + 5*b8033*b233 + 7*b8034*b234 + 7.5*b8035*b235 + 5*
      b8036*b236 + 6.5*b8037*b237 + 5*b8038*b238 + 7.5*b8039*b239 + 6*b8040*
      b240 + 5.5*b8041*b241 + 7.5*b8042*b242 + 7*b8043*b243 + 7*b8044*b244 + 
      7.5*b8045*b245 + 6*b8046*b246 + 6.5*b8047*b247 + 6.5*b8048*b248 + 8*b8049
      *b249 + 8*b8050*b250 + 6*b8051*b251 + 7*b8052*b252 + 8*b8053*b253 + 7.5*
      b8054*b254 + 5.5*b8055*b255 + 7.5*b8056*b256 + 8*b8057*b257 + 7.5*b8058*
      b258 + 7*b8059*b259 + 6*b8060*b260 + 6*b8061*b261 + 6*b8062*b262 + 7.5*
      b8063*b263 + 6.5*b8064*b264 + 5*b8065*b265 + 6*b8066*b266 + 6.5*b8067*
      b267 + 6*b8068*b268 + 7*b8069*b269 + 5*b8070*b270 + 6*b8071*b271 + 5.5*
      b8072*b272 + 6.5*b8073*b273 + 7.5*b8074*b274 + 6.5*b8075*b275 + 7*b8076*
      b276 + 8*b8077*b277 + 7.5*b8078*b278 + 8*b8079*b279 + 6.5*b8080*b280 + 7*
      b8081*b281 + 6.5*b8082*b282 + 7*b8083*b283 + 7*b8084*b284 + 5*b8085*b285
       + 5*b8086*b286 + 7*b8087*b287 + 7*b8088*b288 + 5.5*b8089*b289 + 6*b8090*
      b290 + 7*b8091*b291 + 6.5*b8092*b292 + 8*b8093*b293 + 6*b8094*b294 + 6.5*
      b8095*b295 + 7.5*b8096*b296 + 6.5*b8097*b297 + 6.5*b8098*b298 + 8*b8099*
      b299 + 6*b8100*b300 + 8*b8101*b301 + 6*b8102*b302 + 7*b8103*b303 + 7.5*
      b8104*b304 + 6*b8105*b305 + 7*b8106*b306 + 8*b8107*b307 + 7*b8108*b308 + 
      6.5*b8109*b309 + 7*b8110*b310 + 7*b8111*b311 + 5*b8112*b312 + 10*b1
       + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7 + 11*b8 + 12*b9 + 14*b10
       + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15 + 13*b16 + 15*b17 + 12*b18
       + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23 + 14*b24 + 11*b25 + 14*b26
       + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31 + 16*b32 + 16*b33 + 13*b34
       + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39 + 10*b40 + 11*b41 + 14*b42
       + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47 + 16*b48 + 12*b49 + 14*b50
       + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55 + 13*b56 + 10*b57 + 12*b58
       + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63 + 14*b64 + 12*b65 + 15*b66
       + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71 + 11*b72 + 10*b73 + 11*b74
       + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79 + 10*b80 + 13*b81 + 10*b82
       + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87 + 14*b88 + 15*b89 + 12*b90
       + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95 + 14*b96 + 16*b97 + 15*b98
       + 11*b99 + 15*b100 + 16*b101 + 15*b102 + 14*b103 + 12*b104 + 12*b105
       + 12*b106 + 15*b107 + 13*b108 + 10*b109 + 12*b110 + 13*b111 + 12*b112
       + 14*b113 + 10*b114 + 12*b115 + 11*b116 + 13*b117 + 15*b118 + 13*b119
       + 14*b120 + 16*b121 + 15*b122 + 16*b123 + 13*b124 + 14*b125 + 13*b126
       + 14*b127 + 14*b128 + 10*b129 + 10*b130 + 14*b131 + 14*b132 + 11*b133
       + 12*b134 + 14*b135 + 13*b136 + 16*b137 + 12*b138 + 13*b139 + 15*b140
       + 13*b141 + 13*b142 + 16*b143 + 12*b144 + 16*b145 + 12*b146 + 14*b147
       + 15*b148 + 12*b149 + 14*b150 + 16*b151 + 14*b152 + 13*b153 + 14*b154
       + 14*b155 + 10*b156 - x23869 =L= 0;

e12.. 5*b1093*b7957 + 6.5*b1094*b7958 + 7.5*b1095*b7959 + 8*b1096*b7960 + 5.5*
      b1097*b7961 + 7*b1098*b7962 + 7*b1099*b7963 + 5.5*b1100*b7964 + 6*b1101*
      b7965 + 7*b1102*b7966 + 5*b1103*b7967 + 7*b1104*b7968 + 8*b1105*b7969 + 7
      *b1106*b7970 + 6*b1107*b7971 + 6.5*b1108*b7972 + 7.5*b1109*b7973 + 6*
      b1110*b7974 + 5.5*b1111*b7975 + 7.5*b1112*b7976 + 6*b1113*b7977 + 5.5*
      b1114*b7978 + 5*b1115*b7979 + 7*b1116*b7980 + 5.5*b1117*b7981 + 7*b1118*
      b7982 + 6.5*b1119*b7983 + 7*b1120*b7984 + 6*b1121*b7985 + 6.5*b1122*b7986
       + 5.5*b1123*b7987 + 8*b1124*b7988 + 8*b1125*b7989 + 6.5*b1126*b7990 + 
      7.5*b1127*b7991 + 6.5*b1128*b7992 + 7.5*b1129*b7993 + 5.5*b1130*b7994 + 
      5.5*b1131*b7995 + 5*b1132*b7996 + 5.5*b1133*b7997 + 7*b1134*b7998 + 8*
      b1135*b7999 + 5.5*b1136*b8000 + 7*b1137*b8001 + 8*b1138*b8002 + 7*b1139*
      b8003 + 8*b1140*b8004 + 6*b1141*b8005 + 7*b1142*b8006 + 7*b1143*b8007 + 
      5.5*b1144*b8008 + 8*b1145*b8009 + 5.5*b1146*b8010 + 6*b1147*b8011 + 6.5*
      b1148*b8012 + 5*b1149*b8013 + 6*b1150*b8014 + 6.5*b1151*b8015 + 6*b1152*
      b8016 + 6*b1153*b8017 + 5*b1154*b8018 + 6*b1155*b8019 + 7*b1156*b8020 + 6
      *b1157*b8021 + 7.5*b1158*b8022 + 6.5*b1159*b8023 + 6.5*b1160*b8024 + 6*
      b1161*b8025 + 6.5*b1162*b8026 + 5*b1163*b8027 + 5.5*b1164*b8028 + 5*b1165
      *b8029 + 5.5*b1166*b8030 + 5.5*b1167*b8031 + 7.5*b1168*b8032 + 5*b1169*
      b8033 + 7*b1170*b8034 + 7.5*b1171*b8035 + 5*b1172*b8036 + 6.5*b1173*b8037
       + 5*b1174*b8038 + 7.5*b1175*b8039 + 6*b1176*b8040 + 5.5*b1177*b8041 + 
      7.5*b1178*b8042 + 7*b1179*b8043 + 7*b1180*b8044 + 7.5*b1181*b8045 + 6*
      b1182*b8046 + 6.5*b1183*b8047 + 6.5*b1184*b8048 + 8*b1185*b8049 + 8*b1186
      *b8050 + 6*b1187*b8051 + 7*b1188*b8052 + 8*b1189*b8053 + 7.5*b1190*b8054
       + 5.5*b1191*b8055 + 7.5*b1192*b8056 + 8*b1193*b8057 + 7.5*b1194*b8058 + 
      7*b1195*b8059 + 6*b1196*b8060 + 6*b1197*b8061 + 6*b1198*b8062 + 7.5*b1199
      *b8063 + 6.5*b1200*b8064 + 5*b1201*b8065 + 6*b1202*b8066 + 6.5*b1203*
      b8067 + 6*b1204*b8068 + 7*b1205*b8069 + 5*b1206*b8070 + 6*b1207*b8071 + 
      5.5*b1208*b8072 + 6.5*b1209*b8073 + 7.5*b1210*b8074 + 6.5*b1211*b8075 + 7
      *b1212*b8076 + 8*b1213*b8077 + 7.5*b1214*b8078 + 8*b1215*b8079 + 6.5*
      b1216*b8080 + 7*b1217*b8081 + 6.5*b1218*b8082 + 7*b1219*b8083 + 7*b1220*
      b8084 + 5*b1221*b8085 + 5*b1222*b8086 + 7*b1223*b8087 + 7*b1224*b8088 + 
      5.5*b1225*b8089 + 6*b1226*b8090 + 7*b1227*b8091 + 6.5*b1228*b8092 + 8*
      b1229*b8093 + 6*b1230*b8094 + 6.5*b1231*b8095 + 7.5*b1232*b8096 + 6.5*
      b1233*b8097 + 6.5*b1234*b8098 + 8*b1235*b8099 + 6*b1236*b8100 + 8*b1237*
      b8101 + 6*b1238*b8102 + 7*b1239*b8103 + 7.5*b1240*b8104 + 6*b1241*b8105
       + 7*b1242*b8106 + 8*b1243*b8107 + 7*b1244*b8108 + 6.5*b1245*b8109 + 7*
      b1246*b8110 + 7*b1247*b8111 + 5*b1248*b8112 + 5*b7957*b1093 + 6.5*b7958*
      b1094 + 7.5*b7959*b1095 + 8*b7960*b1096 + 5.5*b7961*b1097 + 7*b7962*b1098
       + 7*b7963*b1099 + 5.5*b7964*b1100 + 6*b7965*b1101 + 7*b7966*b1102 + 5*
      b7967*b1103 + 7*b7968*b1104 + 8*b7969*b1105 + 7*b7970*b1106 + 6*b7971*
      b1107 + 6.5*b7972*b1108 + 7.5*b7973*b1109 + 6*b7974*b1110 + 5.5*b7975*
      b1111 + 7.5*b7976*b1112 + 6*b7977*b1113 + 5.5*b7978*b1114 + 5*b7979*b1115
       + 7*b7980*b1116 + 5.5*b7981*b1117 + 7*b7982*b1118 + 6.5*b7983*b1119 + 7*
      b7984*b1120 + 6*b7985*b1121 + 6.5*b7986*b1122 + 5.5*b7987*b1123 + 8*b7988
      *b1124 + 8*b7989*b1125 + 6.5*b7990*b1126 + 7.5*b7991*b1127 + 6.5*b7992*
      b1128 + 7.5*b7993*b1129 + 5.5*b7994*b1130 + 5.5*b7995*b1131 + 5*b7996*
      b1132 + 5.5*b7997*b1133 + 7*b7998*b1134 + 8*b7999*b1135 + 5.5*b8000*b1136
       + 7*b8001*b1137 + 8*b8002*b1138 + 7*b8003*b1139 + 8*b8004*b1140 + 6*
      b8005*b1141 + 7*b8006*b1142 + 7*b8007*b1143 + 5.5*b8008*b1144 + 8*b8009*
      b1145 + 5.5*b8010*b1146 + 6*b8011*b1147 + 6.5*b8012*b1148 + 5*b8013*b1149
       + 6*b8014*b1150 + 6.5*b8015*b1151 + 6*b8016*b1152 + 6*b8017*b1153 + 5*
      b8018*b1154 + 6*b8019*b1155 + 7*b8020*b1156 + 6*b8021*b1157 + 7.5*b8022*
      b1158 + 6.5*b8023*b1159 + 6.5*b8024*b1160 + 6*b8025*b1161 + 6.5*b8026*
      b1162 + 5*b8027*b1163 + 5.5*b8028*b1164 + 5*b8029*b1165 + 5.5*b8030*b1166
       + 5.5*b8031*b1167 + 7.5*b8032*b1168 + 5*b8033*b1169 + 7*b8034*b1170 + 
      7.5*b8035*b1171 + 5*b8036*b1172 + 6.5*b8037*b1173 + 5*b8038*b1174 + 7.5*
      b8039*b1175 + 6*b8040*b1176 + 5.5*b8041*b1177 + 7.5*b8042*b1178 + 7*b8043
      *b1179 + 7*b8044*b1180 + 7.5*b8045*b1181 + 6*b8046*b1182 + 6.5*b8047*
      b1183 + 6.5*b8048*b1184 + 8*b8049*b1185 + 8*b8050*b1186 + 6*b8051*b1187
       + 7*b8052*b1188 + 8*b8053*b1189 + 7.5*b8054*b1190 + 5.5*b8055*b1191 + 
      7.5*b8056*b1192 + 8*b8057*b1193 + 7.5*b8058*b1194 + 7*b8059*b1195 + 6*
      b8060*b1196 + 6*b8061*b1197 + 6*b8062*b1198 + 7.5*b8063*b1199 + 6.5*b8064
      *b1200 + 5*b8065*b1201 + 6*b8066*b1202 + 6.5*b8067*b1203 + 6*b8068*b1204
       + 7*b8069*b1205 + 5*b8070*b1206 + 6*b8071*b1207 + 5.5*b8072*b1208 + 6.5*
      b8073*b1209 + 7.5*b8074*b1210 + 6.5*b8075*b1211 + 7*b8076*b1212 + 8*b8077
      *b1213 + 7.5*b8078*b1214 + 8*b8079*b1215 + 6.5*b8080*b1216 + 7*b8081*
      b1217 + 6.5*b8082*b1218 + 7*b8083*b1219 + 7*b8084*b1220 + 5*b8085*b1221
       + 5*b8086*b1222 + 7*b8087*b1223 + 7*b8088*b1224 + 5.5*b8089*b1225 + 6*
      b8090*b1226 + 7*b8091*b1227 + 6.5*b8092*b1228 + 8*b8093*b1229 + 6*b8094*
      b1230 + 6.5*b8095*b1231 + 7.5*b8096*b1232 + 6.5*b8097*b1233 + 6.5*b8098*
      b1234 + 8*b8099*b1235 + 6*b8100*b1236 + 8*b8101*b1237 + 6*b8102*b1238 + 7
      *b8103*b1239 + 7.5*b8104*b1240 + 6*b8105*b1241 + 7*b8106*b1242 + 8*b8107*
      b1243 + 7*b8108*b1244 + 6.5*b8109*b1245 + 7*b8110*b1246 + 7*b8111*b1247
       + 5*b8112*b1248 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e13.. 5*b2341*b7957 + 6.5*b2342*b7958 + 7.5*b2343*b7959 + 8*b2344*b7960 + 5.5*
      b2345*b7961 + 7*b2346*b7962 + 7*b2347*b7963 + 5.5*b2348*b7964 + 6*b2349*
      b7965 + 7*b2350*b7966 + 5*b2351*b7967 + 7*b2352*b7968 + 8*b2353*b7969 + 7
      *b2354*b7970 + 6*b2355*b7971 + 6.5*b2356*b7972 + 7.5*b2357*b7973 + 6*
      b2358*b7974 + 5.5*b2359*b7975 + 7.5*b2360*b7976 + 6*b2361*b7977 + 5.5*
      b2362*b7978 + 5*b2363*b7979 + 7*b2364*b7980 + 5.5*b2365*b7981 + 7*b2366*
      b7982 + 6.5*b2367*b7983 + 7*b2368*b7984 + 6*b2369*b7985 + 6.5*b2370*b7986
       + 5.5*b2371*b7987 + 8*b2372*b7988 + 8*b2373*b7989 + 6.5*b2374*b7990 + 
      7.5*b2375*b7991 + 6.5*b2376*b7992 + 7.5*b2377*b7993 + 5.5*b2378*b7994 + 
      5.5*b2379*b7995 + 5*b2380*b7996 + 5.5*b2381*b7997 + 7*b2382*b7998 + 8*
      b2383*b7999 + 5.5*b2384*b8000 + 7*b2385*b8001 + 8*b2386*b8002 + 7*b2387*
      b8003 + 8*b2388*b8004 + 6*b2389*b8005 + 7*b2390*b8006 + 7*b2391*b8007 + 
      5.5*b2392*b8008 + 8*b2393*b8009 + 5.5*b2394*b8010 + 6*b2395*b8011 + 6.5*
      b2396*b8012 + 5*b2397*b8013 + 6*b2398*b8014 + 6.5*b2399*b8015 + 6*b2400*
      b8016 + 6*b2401*b8017 + 5*b2402*b8018 + 6*b2403*b8019 + 7*b2404*b8020 + 6
      *b2405*b8021 + 7.5*b2406*b8022 + 6.5*b2407*b8023 + 6.5*b2408*b8024 + 6*
      b2409*b8025 + 6.5*b2410*b8026 + 5*b2411*b8027 + 5.5*b2412*b8028 + 5*b2413
      *b8029 + 5.5*b2414*b8030 + 5.5*b2415*b8031 + 7.5*b2416*b8032 + 5*b2417*
      b8033 + 7*b2418*b8034 + 7.5*b2419*b8035 + 5*b2420*b8036 + 6.5*b2421*b8037
       + 5*b2422*b8038 + 7.5*b2423*b8039 + 6*b2424*b8040 + 5.5*b2425*b8041 + 
      7.5*b2426*b8042 + 7*b2427*b8043 + 7*b2428*b8044 + 7.5*b2429*b8045 + 6*
      b2430*b8046 + 6.5*b2431*b8047 + 6.5*b2432*b8048 + 8*b2433*b8049 + 8*b2434
      *b8050 + 6*b2435*b8051 + 7*b2436*b8052 + 8*b2437*b8053 + 7.5*b2438*b8054
       + 5.5*b2439*b8055 + 7.5*b2440*b8056 + 8*b2441*b8057 + 7.5*b2442*b8058 + 
      7*b2443*b8059 + 6*b2444*b8060 + 6*b2445*b8061 + 6*b2446*b8062 + 7.5*b2447
      *b8063 + 6.5*b2448*b8064 + 5*b2449*b8065 + 6*b2450*b8066 + 6.5*b2451*
      b8067 + 6*b2452*b8068 + 7*b2453*b8069 + 5*b2454*b8070 + 6*b2455*b8071 + 
      5.5*b2456*b8072 + 6.5*b2457*b8073 + 7.5*b2458*b8074 + 6.5*b2459*b8075 + 7
      *b2460*b8076 + 8*b2461*b8077 + 7.5*b2462*b8078 + 8*b2463*b8079 + 6.5*
      b2464*b8080 + 7*b2465*b8081 + 6.5*b2466*b8082 + 7*b2467*b8083 + 7*b2468*
      b8084 + 5*b2469*b8085 + 5*b2470*b8086 + 7*b2471*b8087 + 7*b2472*b8088 + 
      5.5*b2473*b8089 + 6*b2474*b8090 + 7*b2475*b8091 + 6.5*b2476*b8092 + 8*
      b2477*b8093 + 6*b2478*b8094 + 6.5*b2479*b8095 + 7.5*b2480*b8096 + 6.5*
      b2481*b8097 + 6.5*b2482*b8098 + 8*b2483*b8099 + 6*b2484*b8100 + 8*b2485*
      b8101 + 6*b2486*b8102 + 7*b2487*b8103 + 7.5*b2488*b8104 + 6*b2489*b8105
       + 7*b2490*b8106 + 8*b2491*b8107 + 7*b2492*b8108 + 6.5*b2493*b8109 + 7*
      b2494*b8110 + 7*b2495*b8111 + 5*b2496*b8112 + 5*b7957*b2341 + 6.5*b7958*
      b2342 + 7.5*b7959*b2343 + 8*b7960*b2344 + 5.5*b7961*b2345 + 7*b7962*b2346
       + 7*b7963*b2347 + 5.5*b7964*b2348 + 6*b7965*b2349 + 7*b7966*b2350 + 5*
      b7967*b2351 + 7*b7968*b2352 + 8*b7969*b2353 + 7*b7970*b2354 + 6*b7971*
      b2355 + 6.5*b7972*b2356 + 7.5*b7973*b2357 + 6*b7974*b2358 + 5.5*b7975*
      b2359 + 7.5*b7976*b2360 + 6*b7977*b2361 + 5.5*b7978*b2362 + 5*b7979*b2363
       + 7*b7980*b2364 + 5.5*b7981*b2365 + 7*b7982*b2366 + 6.5*b7983*b2367 + 7*
      b7984*b2368 + 6*b7985*b2369 + 6.5*b7986*b2370 + 5.5*b7987*b2371 + 8*b7988
      *b2372 + 8*b7989*b2373 + 6.5*b7990*b2374 + 7.5*b7991*b2375 + 6.5*b7992*
      b2376 + 7.5*b7993*b2377 + 5.5*b7994*b2378 + 5.5*b7995*b2379 + 5*b7996*
      b2380 + 5.5*b7997*b2381 + 7*b7998*b2382 + 8*b7999*b2383 + 5.5*b8000*b2384
       + 7*b8001*b2385 + 8*b8002*b2386 + 7*b8003*b2387 + 8*b8004*b2388 + 6*
      b8005*b2389 + 7*b8006*b2390 + 7*b8007*b2391 + 5.5*b8008*b2392 + 8*b8009*
      b2393 + 5.5*b8010*b2394 + 6*b8011*b2395 + 6.5*b8012*b2396 + 5*b8013*b2397
       + 6*b8014*b2398 + 6.5*b8015*b2399 + 6*b8016*b2400 + 6*b8017*b2401 + 5*
      b8018*b2402 + 6*b8019*b2403 + 7*b8020*b2404 + 6*b8021*b2405 + 7.5*b8022*
      b2406 + 6.5*b8023*b2407 + 6.5*b8024*b2408 + 6*b8025*b2409 + 6.5*b8026*
      b2410 + 5*b8027*b2411 + 5.5*b8028*b2412 + 5*b8029*b2413 + 5.5*b8030*b2414
       + 5.5*b8031*b2415 + 7.5*b8032*b2416 + 5*b8033*b2417 + 7*b8034*b2418 + 
      7.5*b8035*b2419 + 5*b8036*b2420 + 6.5*b8037*b2421 + 5*b8038*b2422 + 7.5*
      b8039*b2423 + 6*b8040*b2424 + 5.5*b8041*b2425 + 7.5*b8042*b2426 + 7*b8043
      *b2427 + 7*b8044*b2428 + 7.5*b8045*b2429 + 6*b8046*b2430 + 6.5*b8047*
      b2431 + 6.5*b8048*b2432 + 8*b8049*b2433 + 8*b8050*b2434 + 6*b8051*b2435
       + 7*b8052*b2436 + 8*b8053*b2437 + 7.5*b8054*b2438 + 5.5*b8055*b2439 + 
      7.5*b8056*b2440 + 8*b8057*b2441 + 7.5*b8058*b2442 + 7*b8059*b2443 + 6*
      b8060*b2444 + 6*b8061*b2445 + 6*b8062*b2446 + 7.5*b8063*b2447 + 6.5*b8064
      *b2448 + 5*b8065*b2449 + 6*b8066*b2450 + 6.5*b8067*b2451 + 6*b8068*b2452
       + 7*b8069*b2453 + 5*b8070*b2454 + 6*b8071*b2455 + 5.5*b8072*b2456 + 6.5*
      b8073*b2457 + 7.5*b8074*b2458 + 6.5*b8075*b2459 + 7*b8076*b2460 + 8*b8077
      *b2461 + 7.5*b8078*b2462 + 8*b8079*b2463 + 6.5*b8080*b2464 + 7*b8081*
      b2465 + 6.5*b8082*b2466 + 7*b8083*b2467 + 7*b8084*b2468 + 5*b8085*b2469
       + 5*b8086*b2470 + 7*b8087*b2471 + 7*b8088*b2472 + 5.5*b8089*b2473 + 6*
      b8090*b2474 + 7*b8091*b2475 + 6.5*b8092*b2476 + 8*b8093*b2477 + 6*b8094*
      b2478 + 6.5*b8095*b2479 + 7.5*b8096*b2480 + 6.5*b8097*b2481 + 6.5*b8098*
      b2482 + 8*b8099*b2483 + 6*b8100*b2484 + 8*b8101*b2485 + 6*b8102*b2486 + 7
      *b8103*b2487 + 7.5*b8104*b2488 + 6*b8105*b2489 + 7*b8106*b2490 + 8*b8107*
      b2491 + 7*b8108*b2492 + 6.5*b8109*b2493 + 7*b8110*b2494 + 7*b8111*b2495
       + 5*b8112*b2496 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e14.. 5*b2653*b7957 + 6.5*b2654*b7958 + 7.5*b2655*b7959 + 8*b2656*b7960 + 5.5*
      b2657*b7961 + 7*b2658*b7962 + 7*b2659*b7963 + 5.5*b2660*b7964 + 6*b2661*
      b7965 + 7*b2662*b7966 + 5*b2663*b7967 + 7*b2664*b7968 + 8*b2665*b7969 + 7
      *b2666*b7970 + 6*b2667*b7971 + 6.5*b2668*b7972 + 7.5*b2669*b7973 + 6*
      b2670*b7974 + 5.5*b2671*b7975 + 7.5*b2672*b7976 + 6*b2673*b7977 + 5.5*
      b2674*b7978 + 5*b2675*b7979 + 7*b2676*b7980 + 5.5*b2677*b7981 + 7*b2678*
      b7982 + 6.5*b2679*b7983 + 7*b2680*b7984 + 6*b2681*b7985 + 6.5*b2682*b7986
       + 5.5*b2683*b7987 + 8*b2684*b7988 + 8*b2685*b7989 + 6.5*b2686*b7990 + 
      7.5*b2687*b7991 + 6.5*b2688*b7992 + 7.5*b2689*b7993 + 5.5*b2690*b7994 + 
      5.5*b2691*b7995 + 5*b2692*b7996 + 5.5*b2693*b7997 + 7*b2694*b7998 + 8*
      b2695*b7999 + 5.5*b2696*b8000 + 7*b2697*b8001 + 8*b2698*b8002 + 7*b2699*
      b8003 + 8*b2700*b8004 + 6*b2701*b8005 + 7*b2702*b8006 + 7*b2703*b8007 + 
      5.5*b2704*b8008 + 8*b2705*b8009 + 5.5*b2706*b8010 + 6*b2707*b8011 + 6.5*
      b2708*b8012 + 5*b2709*b8013 + 6*b2710*b8014 + 6.5*b2711*b8015 + 6*b2712*
      b8016 + 6*b2713*b8017 + 5*b2714*b8018 + 6*b2715*b8019 + 7*b2716*b8020 + 6
      *b2717*b8021 + 7.5*b2718*b8022 + 6.5*b2719*b8023 + 6.5*b2720*b8024 + 6*
      b2721*b8025 + 6.5*b2722*b8026 + 5*b2723*b8027 + 5.5*b2724*b8028 + 5*b2725
      *b8029 + 5.5*b2726*b8030 + 5.5*b2727*b8031 + 7.5*b2728*b8032 + 5*b2729*
      b8033 + 7*b2730*b8034 + 7.5*b2731*b8035 + 5*b2732*b8036 + 6.5*b2733*b8037
       + 5*b2734*b8038 + 7.5*b2735*b8039 + 6*b2736*b8040 + 5.5*b2737*b8041 + 
      7.5*b2738*b8042 + 7*b2739*b8043 + 7*b2740*b8044 + 7.5*b2741*b8045 + 6*
      b2742*b8046 + 6.5*b2743*b8047 + 6.5*b2744*b8048 + 8*b2745*b8049 + 8*b2746
      *b8050 + 6*b2747*b8051 + 7*b2748*b8052 + 8*b2749*b8053 + 7.5*b2750*b8054
       + 5.5*b2751*b8055 + 7.5*b2752*b8056 + 8*b2753*b8057 + 7.5*b2754*b8058 + 
      7*b2755*b8059 + 6*b2756*b8060 + 6*b2757*b8061 + 6*b2758*b8062 + 7.5*b2759
      *b8063 + 6.5*b2760*b8064 + 5*b2761*b8065 + 6*b2762*b8066 + 6.5*b2763*
      b8067 + 6*b2764*b8068 + 7*b2765*b8069 + 5*b2766*b8070 + 6*b2767*b8071 + 
      5.5*b2768*b8072 + 6.5*b2769*b8073 + 7.5*b2770*b8074 + 6.5*b2771*b8075 + 7
      *b2772*b8076 + 8*b2773*b8077 + 7.5*b2774*b8078 + 8*b2775*b8079 + 6.5*
      b2776*b8080 + 7*b2777*b8081 + 6.5*b2778*b8082 + 7*b2779*b8083 + 7*b2780*
      b8084 + 5*b2781*b8085 + 5*b2782*b8086 + 7*b2783*b8087 + 7*b2784*b8088 + 
      5.5*b2785*b8089 + 6*b2786*b8090 + 7*b2787*b8091 + 6.5*b2788*b8092 + 8*
      b2789*b8093 + 6*b2790*b8094 + 6.5*b2791*b8095 + 7.5*b2792*b8096 + 6.5*
      b2793*b8097 + 6.5*b2794*b8098 + 8*b2795*b8099 + 6*b2796*b8100 + 8*b2797*
      b8101 + 6*b2798*b8102 + 7*b2799*b8103 + 7.5*b2800*b8104 + 6*b2801*b8105
       + 7*b2802*b8106 + 8*b2803*b8107 + 7*b2804*b8108 + 6.5*b2805*b8109 + 7*
      b2806*b8110 + 7*b2807*b8111 + 5*b2808*b8112 + 5*b7957*b2653 + 6.5*b7958*
      b2654 + 7.5*b7959*b2655 + 8*b7960*b2656 + 5.5*b7961*b2657 + 7*b7962*b2658
       + 7*b7963*b2659 + 5.5*b7964*b2660 + 6*b7965*b2661 + 7*b7966*b2662 + 5*
      b7967*b2663 + 7*b7968*b2664 + 8*b7969*b2665 + 7*b7970*b2666 + 6*b7971*
      b2667 + 6.5*b7972*b2668 + 7.5*b7973*b2669 + 6*b7974*b2670 + 5.5*b7975*
      b2671 + 7.5*b7976*b2672 + 6*b7977*b2673 + 5.5*b7978*b2674 + 5*b7979*b2675
       + 7*b7980*b2676 + 5.5*b7981*b2677 + 7*b7982*b2678 + 6.5*b7983*b2679 + 7*
      b7984*b2680 + 6*b7985*b2681 + 6.5*b7986*b2682 + 5.5*b7987*b2683 + 8*b7988
      *b2684 + 8*b7989*b2685 + 6.5*b7990*b2686 + 7.5*b7991*b2687 + 6.5*b7992*
      b2688 + 7.5*b7993*b2689 + 5.5*b7994*b2690 + 5.5*b7995*b2691 + 5*b7996*
      b2692 + 5.5*b7997*b2693 + 7*b7998*b2694 + 8*b7999*b2695 + 5.5*b8000*b2696
       + 7*b8001*b2697 + 8*b8002*b2698 + 7*b8003*b2699 + 8*b8004*b2700 + 6*
      b8005*b2701 + 7*b8006*b2702 + 7*b8007*b2703 + 5.5*b8008*b2704 + 8*b8009*
      b2705 + 5.5*b8010*b2706 + 6*b8011*b2707 + 6.5*b8012*b2708 + 5*b8013*b2709
       + 6*b8014*b2710 + 6.5*b8015*b2711 + 6*b8016*b2712 + 6*b8017*b2713 + 5*
      b8018*b2714 + 6*b8019*b2715 + 7*b8020*b2716 + 6*b8021*b2717 + 7.5*b8022*
      b2718 + 6.5*b8023*b2719 + 6.5*b8024*b2720 + 6*b8025*b2721 + 6.5*b8026*
      b2722 + 5*b8027*b2723 + 5.5*b8028*b2724 + 5*b8029*b2725 + 5.5*b8030*b2726
       + 5.5*b8031*b2727 + 7.5*b8032*b2728 + 5*b8033*b2729 + 7*b8034*b2730 + 
      7.5*b8035*b2731 + 5*b8036*b2732 + 6.5*b8037*b2733 + 5*b8038*b2734 + 7.5*
      b8039*b2735 + 6*b8040*b2736 + 5.5*b8041*b2737 + 7.5*b8042*b2738 + 7*b8043
      *b2739 + 7*b8044*b2740 + 7.5*b8045*b2741 + 6*b8046*b2742 + 6.5*b8047*
      b2743 + 6.5*b8048*b2744 + 8*b8049*b2745 + 8*b8050*b2746 + 6*b8051*b2747
       + 7*b8052*b2748 + 8*b8053*b2749 + 7.5*b8054*b2750 + 5.5*b8055*b2751 + 
      7.5*b8056*b2752 + 8*b8057*b2753 + 7.5*b8058*b2754 + 7*b8059*b2755 + 6*
      b8060*b2756 + 6*b8061*b2757 + 6*b8062*b2758 + 7.5*b8063*b2759 + 6.5*b8064
      *b2760 + 5*b8065*b2761 + 6*b8066*b2762 + 6.5*b8067*b2763 + 6*b8068*b2764
       + 7*b8069*b2765 + 5*b8070*b2766 + 6*b8071*b2767 + 5.5*b8072*b2768 + 6.5*
      b8073*b2769 + 7.5*b8074*b2770 + 6.5*b8075*b2771 + 7*b8076*b2772 + 8*b8077
      *b2773 + 7.5*b8078*b2774 + 8*b8079*b2775 + 6.5*b8080*b2776 + 7*b8081*
      b2777 + 6.5*b8082*b2778 + 7*b8083*b2779 + 7*b8084*b2780 + 5*b8085*b2781
       + 5*b8086*b2782 + 7*b8087*b2783 + 7*b8088*b2784 + 5.5*b8089*b2785 + 6*
      b8090*b2786 + 7*b8091*b2787 + 6.5*b8092*b2788 + 8*b8093*b2789 + 6*b8094*
      b2790 + 6.5*b8095*b2791 + 7.5*b8096*b2792 + 6.5*b8097*b2793 + 6.5*b8098*
      b2794 + 8*b8099*b2795 + 6*b8100*b2796 + 8*b8101*b2797 + 6*b8102*b2798 + 7
      *b8103*b2799 + 7.5*b8104*b2800 + 6*b8105*b2801 + 7*b8106*b2802 + 8*b8107*
      b2803 + 7*b8108*b2804 + 6.5*b8109*b2805 + 7*b8110*b2806 + 7*b8111*b2807
       + 5*b8112*b2808 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e15.. 5*b4057*b7957 + 6.5*b4058*b7958 + 7.5*b4059*b7959 + 8*b4060*b7960 + 5.5*
      b4061*b7961 + 7*b4062*b7962 + 7*b4063*b7963 + 5.5*b4064*b7964 + 6*b4065*
      b7965 + 7*b4066*b7966 + 5*b4067*b7967 + 7*b4068*b7968 + 8*b4069*b7969 + 7
      *b4070*b7970 + 6*b4071*b7971 + 6.5*b4072*b7972 + 7.5*b4073*b7973 + 6*
      b4074*b7974 + 5.5*b4075*b7975 + 7.5*b4076*b7976 + 6*b4077*b7977 + 5.5*
      b4078*b7978 + 5*b4079*b7979 + 7*b4080*b7980 + 5.5*b4081*b7981 + 7*b4082*
      b7982 + 6.5*b4083*b7983 + 7*b4084*b7984 + 6*b4085*b7985 + 6.5*b4086*b7986
       + 5.5*b4087*b7987 + 8*b4088*b7988 + 8*b4089*b7989 + 6.5*b4090*b7990 + 
      7.5*b4091*b7991 + 6.5*b4092*b7992 + 7.5*b4093*b7993 + 5.5*b4094*b7994 + 
      5.5*b4095*b7995 + 5*b4096*b7996 + 5.5*b4097*b7997 + 7*b4098*b7998 + 8*
      b4099*b7999 + 5.5*b4100*b8000 + 7*b4101*b8001 + 8*b4102*b8002 + 7*b4103*
      b8003 + 8*b4104*b8004 + 6*b4105*b8005 + 7*b4106*b8006 + 7*b4107*b8007 + 
      5.5*b4108*b8008 + 8*b4109*b8009 + 5.5*b4110*b8010 + 6*b4111*b8011 + 6.5*
      b4112*b8012 + 5*b4113*b8013 + 6*b4114*b8014 + 6.5*b4115*b8015 + 6*b4116*
      b8016 + 6*b4117*b8017 + 5*b4118*b8018 + 6*b4119*b8019 + 7*b4120*b8020 + 6
      *b4121*b8021 + 7.5*b4122*b8022 + 6.5*b4123*b8023 + 6.5*b4124*b8024 + 6*
      b4125*b8025 + 6.5*b4126*b8026 + 5*b4127*b8027 + 5.5*b4128*b8028 + 5*b4129
      *b8029 + 5.5*b4130*b8030 + 5.5*b4131*b8031 + 7.5*b4132*b8032 + 5*b4133*
      b8033 + 7*b4134*b8034 + 7.5*b4135*b8035 + 5*b4136*b8036 + 6.5*b4137*b8037
       + 5*b4138*b8038 + 7.5*b4139*b8039 + 6*b4140*b8040 + 5.5*b4141*b8041 + 
      7.5*b4142*b8042 + 7*b4143*b8043 + 7*b4144*b8044 + 7.5*b4145*b8045 + 6*
      b4146*b8046 + 6.5*b4147*b8047 + 6.5*b4148*b8048 + 8*b4149*b8049 + 8*b4150
      *b8050 + 6*b4151*b8051 + 7*b4152*b8052 + 8*b4153*b8053 + 7.5*b4154*b8054
       + 5.5*b4155*b8055 + 7.5*b4156*b8056 + 8*b4157*b8057 + 7.5*b4158*b8058 + 
      7*b4159*b8059 + 6*b4160*b8060 + 6*b4161*b8061 + 6*b4162*b8062 + 7.5*b4163
      *b8063 + 6.5*b4164*b8064 + 5*b4165*b8065 + 6*b4166*b8066 + 6.5*b4167*
      b8067 + 6*b4168*b8068 + 7*b4169*b8069 + 5*b4170*b8070 + 6*b4171*b8071 + 
      5.5*b4172*b8072 + 6.5*b4173*b8073 + 7.5*b4174*b8074 + 6.5*b4175*b8075 + 7
      *b4176*b8076 + 8*b4177*b8077 + 7.5*b4178*b8078 + 8*b4179*b8079 + 6.5*
      b4180*b8080 + 7*b4181*b8081 + 6.5*b4182*b8082 + 7*b4183*b8083 + 7*b4184*
      b8084 + 5*b4185*b8085 + 5*b4186*b8086 + 7*b4187*b8087 + 7*b4188*b8088 + 
      5.5*b4189*b8089 + 6*b4190*b8090 + 7*b4191*b8091 + 6.5*b4192*b8092 + 8*
      b4193*b8093 + 6*b4194*b8094 + 6.5*b4195*b8095 + 7.5*b4196*b8096 + 6.5*
      b4197*b8097 + 6.5*b4198*b8098 + 8*b4199*b8099 + 6*b4200*b8100 + 8*b4201*
      b8101 + 6*b4202*b8102 + 7*b4203*b8103 + 7.5*b4204*b8104 + 6*b4205*b8105
       + 7*b4206*b8106 + 8*b4207*b8107 + 7*b4208*b8108 + 6.5*b4209*b8109 + 7*
      b4210*b8110 + 7*b4211*b8111 + 5*b4212*b8112 + 5*b7957*b4057 + 6.5*b7958*
      b4058 + 7.5*b7959*b4059 + 8*b7960*b4060 + 5.5*b7961*b4061 + 7*b7962*b4062
       + 7*b7963*b4063 + 5.5*b7964*b4064 + 6*b7965*b4065 + 7*b7966*b4066 + 5*
      b7967*b4067 + 7*b7968*b4068 + 8*b7969*b4069 + 7*b7970*b4070 + 6*b7971*
      b4071 + 6.5*b7972*b4072 + 7.5*b7973*b4073 + 6*b7974*b4074 + 5.5*b7975*
      b4075 + 7.5*b7976*b4076 + 6*b7977*b4077 + 5.5*b7978*b4078 + 5*b7979*b4079
       + 7*b7980*b4080 + 5.5*b7981*b4081 + 7*b7982*b4082 + 6.5*b7983*b4083 + 7*
      b7984*b4084 + 6*b7985*b4085 + 6.5*b7986*b4086 + 5.5*b7987*b4087 + 8*b7988
      *b4088 + 8*b7989*b4089 + 6.5*b7990*b4090 + 7.5*b7991*b4091 + 6.5*b7992*
      b4092 + 7.5*b7993*b4093 + 5.5*b7994*b4094 + 5.5*b7995*b4095 + 5*b7996*
      b4096 + 5.5*b7997*b4097 + 7*b7998*b4098 + 8*b7999*b4099 + 5.5*b8000*b4100
       + 7*b8001*b4101 + 8*b8002*b4102 + 7*b8003*b4103 + 8*b8004*b4104 + 6*
      b8005*b4105 + 7*b8006*b4106 + 7*b8007*b4107 + 5.5*b8008*b4108 + 8*b8009*
      b4109 + 5.5*b8010*b4110 + 6*b8011*b4111 + 6.5*b8012*b4112 + 5*b8013*b4113
       + 6*b8014*b4114 + 6.5*b8015*b4115 + 6*b8016*b4116 + 6*b8017*b4117 + 5*
      b8018*b4118 + 6*b8019*b4119 + 7*b8020*b4120 + 6*b8021*b4121 + 7.5*b8022*
      b4122 + 6.5*b8023*b4123 + 6.5*b8024*b4124 + 6*b8025*b4125 + 6.5*b8026*
      b4126 + 5*b8027*b4127 + 5.5*b8028*b4128 + 5*b8029*b4129 + 5.5*b8030*b4130
       + 5.5*b8031*b4131 + 7.5*b8032*b4132 + 5*b8033*b4133 + 7*b8034*b4134 + 
      7.5*b8035*b4135 + 5*b8036*b4136 + 6.5*b8037*b4137 + 5*b8038*b4138 + 7.5*
      b8039*b4139 + 6*b8040*b4140 + 5.5*b8041*b4141 + 7.5*b8042*b4142 + 7*b8043
      *b4143 + 7*b8044*b4144 + 7.5*b8045*b4145 + 6*b8046*b4146 + 6.5*b8047*
      b4147 + 6.5*b8048*b4148 + 8*b8049*b4149 + 8*b8050*b4150 + 6*b8051*b4151
       + 7*b8052*b4152 + 8*b8053*b4153 + 7.5*b8054*b4154 + 5.5*b8055*b4155 + 
      7.5*b8056*b4156 + 8*b8057*b4157 + 7.5*b8058*b4158 + 7*b8059*b4159 + 6*
      b8060*b4160 + 6*b8061*b4161 + 6*b8062*b4162 + 7.5*b8063*b4163 + 6.5*b8064
      *b4164 + 5*b8065*b4165 + 6*b8066*b4166 + 6.5*b8067*b4167 + 6*b8068*b4168
       + 7*b8069*b4169 + 5*b8070*b4170 + 6*b8071*b4171 + 5.5*b8072*b4172 + 6.5*
      b8073*b4173 + 7.5*b8074*b4174 + 6.5*b8075*b4175 + 7*b8076*b4176 + 8*b8077
      *b4177 + 7.5*b8078*b4178 + 8*b8079*b4179 + 6.5*b8080*b4180 + 7*b8081*
      b4181 + 6.5*b8082*b4182 + 7*b8083*b4183 + 7*b8084*b4184 + 5*b8085*b4185
       + 5*b8086*b4186 + 7*b8087*b4187 + 7*b8088*b4188 + 5.5*b8089*b4189 + 6*
      b8090*b4190 + 7*b8091*b4191 + 6.5*b8092*b4192 + 8*b8093*b4193 + 6*b8094*
      b4194 + 6.5*b8095*b4195 + 7.5*b8096*b4196 + 6.5*b8097*b4197 + 6.5*b8098*
      b4198 + 8*b8099*b4199 + 6*b8100*b4200 + 8*b8101*b4201 + 6*b8102*b4202 + 7
      *b8103*b4203 + 7.5*b8104*b4204 + 6*b8105*b4205 + 7*b8106*b4206 + 8*b8107*
      b4207 + 7*b8108*b4208 + 6.5*b8109*b4209 + 7*b8110*b4210 + 7*b8111*b4211
       + 5*b8112*b4212 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e16.. 5*b4837*b7957 + 6.5*b4838*b7958 + 7.5*b4839*b7959 + 8*b4840*b7960 + 5.5*
      b4841*b7961 + 7*b4842*b7962 + 7*b4843*b7963 + 5.5*b4844*b7964 + 6*b4845*
      b7965 + 7*b4846*b7966 + 5*b4847*b7967 + 7*b4848*b7968 + 8*b4849*b7969 + 7
      *b4850*b7970 + 6*b4851*b7971 + 6.5*b4852*b7972 + 7.5*b4853*b7973 + 6*
      b4854*b7974 + 5.5*b4855*b7975 + 7.5*b4856*b7976 + 6*b4857*b7977 + 5.5*
      b4858*b7978 + 5*b4859*b7979 + 7*b4860*b7980 + 5.5*b4861*b7981 + 7*b4862*
      b7982 + 6.5*b4863*b7983 + 7*b4864*b7984 + 6*b4865*b7985 + 6.5*b4866*b7986
       + 5.5*b4867*b7987 + 8*b4868*b7988 + 8*b4869*b7989 + 6.5*b4870*b7990 + 
      7.5*b4871*b7991 + 6.5*b4872*b7992 + 7.5*b4873*b7993 + 5.5*b4874*b7994 + 
      5.5*b4875*b7995 + 5*b4876*b7996 + 5.5*b4877*b7997 + 7*b4878*b7998 + 8*
      b4879*b7999 + 5.5*b4880*b8000 + 7*b4881*b8001 + 8*b4882*b8002 + 7*b4883*
      b8003 + 8*b4884*b8004 + 6*b4885*b8005 + 7*b4886*b8006 + 7*b4887*b8007 + 
      5.5*b4888*b8008 + 8*b4889*b8009 + 5.5*b4890*b8010 + 6*b4891*b8011 + 6.5*
      b4892*b8012 + 5*b4893*b8013 + 6*b4894*b8014 + 6.5*b4895*b8015 + 6*b4896*
      b8016 + 6*b4897*b8017 + 5*b4898*b8018 + 6*b4899*b8019 + 7*b4900*b8020 + 6
      *b4901*b8021 + 7.5*b4902*b8022 + 6.5*b4903*b8023 + 6.5*b4904*b8024 + 6*
      b4905*b8025 + 6.5*b4906*b8026 + 5*b4907*b8027 + 5.5*b4908*b8028 + 5*b4909
      *b8029 + 5.5*b4910*b8030 + 5.5*b4911*b8031 + 7.5*b4912*b8032 + 5*b4913*
      b8033 + 7*b4914*b8034 + 7.5*b4915*b8035 + 5*b4916*b8036 + 6.5*b4917*b8037
       + 5*b4918*b8038 + 7.5*b4919*b8039 + 6*b4920*b8040 + 5.5*b4921*b8041 + 
      7.5*b4922*b8042 + 7*b4923*b8043 + 7*b4924*b8044 + 7.5*b4925*b8045 + 6*
      b4926*b8046 + 6.5*b4927*b8047 + 6.5*b4928*b8048 + 8*b4929*b8049 + 8*b4930
      *b8050 + 6*b4931*b8051 + 7*b4932*b8052 + 8*b4933*b8053 + 7.5*b4934*b8054
       + 5.5*b4935*b8055 + 7.5*b4936*b8056 + 8*b4937*b8057 + 7.5*b4938*b8058 + 
      7*b4939*b8059 + 6*b4940*b8060 + 6*b4941*b8061 + 6*b4942*b8062 + 7.5*b4943
      *b8063 + 6.5*b4944*b8064 + 5*b4945*b8065 + 6*b4946*b8066 + 6.5*b4947*
      b8067 + 6*b4948*b8068 + 7*b4949*b8069 + 5*b4950*b8070 + 6*b4951*b8071 + 
      5.5*b4952*b8072 + 6.5*b4953*b8073 + 7.5*b4954*b8074 + 6.5*b4955*b8075 + 7
      *b4956*b8076 + 8*b4957*b8077 + 7.5*b4958*b8078 + 8*b4959*b8079 + 6.5*
      b4960*b8080 + 7*b4961*b8081 + 6.5*b4962*b8082 + 7*b4963*b8083 + 7*b4964*
      b8084 + 5*b4965*b8085 + 5*b4966*b8086 + 7*b4967*b8087 + 7*b4968*b8088 + 
      5.5*b4969*b8089 + 6*b4970*b8090 + 7*b4971*b8091 + 6.5*b4972*b8092 + 8*
      b4973*b8093 + 6*b4974*b8094 + 6.5*b4975*b8095 + 7.5*b4976*b8096 + 6.5*
      b4977*b8097 + 6.5*b4978*b8098 + 8*b4979*b8099 + 6*b4980*b8100 + 8*b4981*
      b8101 + 6*b4982*b8102 + 7*b4983*b8103 + 7.5*b4984*b8104 + 6*b4985*b8105
       + 7*b4986*b8106 + 8*b4987*b8107 + 7*b4988*b8108 + 6.5*b4989*b8109 + 7*
      b4990*b8110 + 7*b4991*b8111 + 5*b4992*b8112 + 5*b7957*b4837 + 6.5*b7958*
      b4838 + 7.5*b7959*b4839 + 8*b7960*b4840 + 5.5*b7961*b4841 + 7*b7962*b4842
       + 7*b7963*b4843 + 5.5*b7964*b4844 + 6*b7965*b4845 + 7*b7966*b4846 + 5*
      b7967*b4847 + 7*b7968*b4848 + 8*b7969*b4849 + 7*b7970*b4850 + 6*b7971*
      b4851 + 6.5*b7972*b4852 + 7.5*b7973*b4853 + 6*b7974*b4854 + 5.5*b7975*
      b4855 + 7.5*b7976*b4856 + 6*b7977*b4857 + 5.5*b7978*b4858 + 5*b7979*b4859
       + 7*b7980*b4860 + 5.5*b7981*b4861 + 7*b7982*b4862 + 6.5*b7983*b4863 + 7*
      b7984*b4864 + 6*b7985*b4865 + 6.5*b7986*b4866 + 5.5*b7987*b4867 + 8*b7988
      *b4868 + 8*b7989*b4869 + 6.5*b7990*b4870 + 7.5*b7991*b4871 + 6.5*b7992*
      b4872 + 7.5*b7993*b4873 + 5.5*b7994*b4874 + 5.5*b7995*b4875 + 5*b7996*
      b4876 + 5.5*b7997*b4877 + 7*b7998*b4878 + 8*b7999*b4879 + 5.5*b8000*b4880
       + 7*b8001*b4881 + 8*b8002*b4882 + 7*b8003*b4883 + 8*b8004*b4884 + 6*
      b8005*b4885 + 7*b8006*b4886 + 7*b8007*b4887 + 5.5*b8008*b4888 + 8*b8009*
      b4889 + 5.5*b8010*b4890 + 6*b8011*b4891 + 6.5*b8012*b4892 + 5*b8013*b4893
       + 6*b8014*b4894 + 6.5*b8015*b4895 + 6*b8016*b4896 + 6*b8017*b4897 + 5*
      b8018*b4898 + 6*b8019*b4899 + 7*b8020*b4900 + 6*b8021*b4901 + 7.5*b8022*
      b4902 + 6.5*b8023*b4903 + 6.5*b8024*b4904 + 6*b8025*b4905 + 6.5*b8026*
      b4906 + 5*b8027*b4907 + 5.5*b8028*b4908 + 5*b8029*b4909 + 5.5*b8030*b4910
       + 5.5*b8031*b4911 + 7.5*b8032*b4912 + 5*b8033*b4913 + 7*b8034*b4914 + 
      7.5*b8035*b4915 + 5*b8036*b4916 + 6.5*b8037*b4917 + 5*b8038*b4918 + 7.5*
      b8039*b4919 + 6*b8040*b4920 + 5.5*b8041*b4921 + 7.5*b8042*b4922 + 7*b8043
      *b4923 + 7*b8044*b4924 + 7.5*b8045*b4925 + 6*b8046*b4926 + 6.5*b8047*
      b4927 + 6.5*b8048*b4928 + 8*b8049*b4929 + 8*b8050*b4930 + 6*b8051*b4931
       + 7*b8052*b4932 + 8*b8053*b4933 + 7.5*b8054*b4934 + 5.5*b8055*b4935 + 
      7.5*b8056*b4936 + 8*b8057*b4937 + 7.5*b8058*b4938 + 7*b8059*b4939 + 6*
      b8060*b4940 + 6*b8061*b4941 + 6*b8062*b4942 + 7.5*b8063*b4943 + 6.5*b8064
      *b4944 + 5*b8065*b4945 + 6*b8066*b4946 + 6.5*b8067*b4947 + 6*b8068*b4948
       + 7*b8069*b4949 + 5*b8070*b4950 + 6*b8071*b4951 + 5.5*b8072*b4952 + 6.5*
      b8073*b4953 + 7.5*b8074*b4954 + 6.5*b8075*b4955 + 7*b8076*b4956 + 8*b8077
      *b4957 + 7.5*b8078*b4958 + 8*b8079*b4959 + 6.5*b8080*b4960 + 7*b8081*
      b4961 + 6.5*b8082*b4962 + 7*b8083*b4963 + 7*b8084*b4964 + 5*b8085*b4965
       + 5*b8086*b4966 + 7*b8087*b4967 + 7*b8088*b4968 + 5.5*b8089*b4969 + 6*
      b8090*b4970 + 7*b8091*b4971 + 6.5*b8092*b4972 + 8*b8093*b4973 + 6*b8094*
      b4974 + 6.5*b8095*b4975 + 7.5*b8096*b4976 + 6.5*b8097*b4977 + 6.5*b8098*
      b4978 + 8*b8099*b4979 + 6*b8100*b4980 + 8*b8101*b4981 + 6*b8102*b4982 + 7
      *b8103*b4983 + 7.5*b8104*b4984 + 6*b8105*b4985 + 7*b8106*b4986 + 8*b8107*
      b4987 + 7*b8108*b4988 + 6.5*b8109*b4989 + 7*b8110*b4990 + 7*b8111*b4991
       + 5*b8112*b4992 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e17.. 5*b5617*b7957 + 6.5*b5618*b7958 + 7.5*b5619*b7959 + 8*b5620*b7960 + 5.5*
      b5621*b7961 + 7*b5622*b7962 + 7*b5623*b7963 + 5.5*b5624*b7964 + 6*b5625*
      b7965 + 7*b5626*b7966 + 5*b5627*b7967 + 7*b5628*b7968 + 8*b5629*b7969 + 7
      *b5630*b7970 + 6*b5631*b7971 + 6.5*b5632*b7972 + 7.5*b5633*b7973 + 6*
      b5634*b7974 + 5.5*b5635*b7975 + 7.5*b5636*b7976 + 6*b5637*b7977 + 5.5*
      b5638*b7978 + 5*b5639*b7979 + 7*b5640*b7980 + 5.5*b5641*b7981 + 7*b5642*
      b7982 + 6.5*b5643*b7983 + 7*b5644*b7984 + 6*b5645*b7985 + 6.5*b5646*b7986
       + 5.5*b5647*b7987 + 8*b5648*b7988 + 8*b5649*b7989 + 6.5*b5650*b7990 + 
      7.5*b5651*b7991 + 6.5*b5652*b7992 + 7.5*b5653*b7993 + 5.5*b5654*b7994 + 
      5.5*b5655*b7995 + 5*b5656*b7996 + 5.5*b5657*b7997 + 7*b5658*b7998 + 8*
      b5659*b7999 + 5.5*b5660*b8000 + 7*b5661*b8001 + 8*b5662*b8002 + 7*b5663*
      b8003 + 8*b5664*b8004 + 6*b5665*b8005 + 7*b5666*b8006 + 7*b5667*b8007 + 
      5.5*b5668*b8008 + 8*b5669*b8009 + 5.5*b5670*b8010 + 6*b5671*b8011 + 6.5*
      b5672*b8012 + 5*b5673*b8013 + 6*b5674*b8014 + 6.5*b5675*b8015 + 6*b5676*
      b8016 + 6*b5677*b8017 + 5*b5678*b8018 + 6*b5679*b8019 + 7*b5680*b8020 + 6
      *b5681*b8021 + 7.5*b5682*b8022 + 6.5*b5683*b8023 + 6.5*b5684*b8024 + 6*
      b5685*b8025 + 6.5*b5686*b8026 + 5*b5687*b8027 + 5.5*b5688*b8028 + 5*b5689
      *b8029 + 5.5*b5690*b8030 + 5.5*b5691*b8031 + 7.5*b5692*b8032 + 5*b5693*
      b8033 + 7*b5694*b8034 + 7.5*b5695*b8035 + 5*b5696*b8036 + 6.5*b5697*b8037
       + 5*b5698*b8038 + 7.5*b5699*b8039 + 6*b5700*b8040 + 5.5*b5701*b8041 + 
      7.5*b5702*b8042 + 7*b5703*b8043 + 7*b5704*b8044 + 7.5*b5705*b8045 + 6*
      b5706*b8046 + 6.5*b5707*b8047 + 6.5*b5708*b8048 + 8*b5709*b8049 + 8*b5710
      *b8050 + 6*b5711*b8051 + 7*b5712*b8052 + 8*b5713*b8053 + 7.5*b5714*b8054
       + 5.5*b5715*b8055 + 7.5*b5716*b8056 + 8*b5717*b8057 + 7.5*b5718*b8058 + 
      7*b5719*b8059 + 6*b5720*b8060 + 6*b5721*b8061 + 6*b5722*b8062 + 7.5*b5723
      *b8063 + 6.5*b5724*b8064 + 5*b5725*b8065 + 6*b5726*b8066 + 6.5*b5727*
      b8067 + 6*b5728*b8068 + 7*b5729*b8069 + 5*b5730*b8070 + 6*b5731*b8071 + 
      5.5*b5732*b8072 + 6.5*b5733*b8073 + 7.5*b5734*b8074 + 6.5*b5735*b8075 + 7
      *b5736*b8076 + 8*b5737*b8077 + 7.5*b5738*b8078 + 8*b5739*b8079 + 6.5*
      b5740*b8080 + 7*b5741*b8081 + 6.5*b5742*b8082 + 7*b5743*b8083 + 7*b5744*
      b8084 + 5*b5745*b8085 + 5*b5746*b8086 + 7*b5747*b8087 + 7*b5748*b8088 + 
      5.5*b5749*b8089 + 6*b5750*b8090 + 7*b5751*b8091 + 6.5*b5752*b8092 + 8*
      b5753*b8093 + 6*b5754*b8094 + 6.5*b5755*b8095 + 7.5*b5756*b8096 + 6.5*
      b5757*b8097 + 6.5*b5758*b8098 + 8*b5759*b8099 + 6*b5760*b8100 + 8*b5761*
      b8101 + 6*b5762*b8102 + 7*b5763*b8103 + 7.5*b5764*b8104 + 6*b5765*b8105
       + 7*b5766*b8106 + 8*b5767*b8107 + 7*b5768*b8108 + 6.5*b5769*b8109 + 7*
      b5770*b8110 + 7*b5771*b8111 + 5*b5772*b8112 + 5*b7957*b5617 + 6.5*b7958*
      b5618 + 7.5*b7959*b5619 + 8*b7960*b5620 + 5.5*b7961*b5621 + 7*b7962*b5622
       + 7*b7963*b5623 + 5.5*b7964*b5624 + 6*b7965*b5625 + 7*b7966*b5626 + 5*
      b7967*b5627 + 7*b7968*b5628 + 8*b7969*b5629 + 7*b7970*b5630 + 6*b7971*
      b5631 + 6.5*b7972*b5632 + 7.5*b7973*b5633 + 6*b7974*b5634 + 5.5*b7975*
      b5635 + 7.5*b7976*b5636 + 6*b7977*b5637 + 5.5*b7978*b5638 + 5*b7979*b5639
       + 7*b7980*b5640 + 5.5*b7981*b5641 + 7*b7982*b5642 + 6.5*b7983*b5643 + 7*
      b7984*b5644 + 6*b7985*b5645 + 6.5*b7986*b5646 + 5.5*b7987*b5647 + 8*b7988
      *b5648 + 8*b7989*b5649 + 6.5*b7990*b5650 + 7.5*b7991*b5651 + 6.5*b7992*
      b5652 + 7.5*b7993*b5653 + 5.5*b7994*b5654 + 5.5*b7995*b5655 + 5*b7996*
      b5656 + 5.5*b7997*b5657 + 7*b7998*b5658 + 8*b7999*b5659 + 5.5*b8000*b5660
       + 7*b8001*b5661 + 8*b8002*b5662 + 7*b8003*b5663 + 8*b8004*b5664 + 6*
      b8005*b5665 + 7*b8006*b5666 + 7*b8007*b5667 + 5.5*b8008*b5668 + 8*b8009*
      b5669 + 5.5*b8010*b5670 + 6*b8011*b5671 + 6.5*b8012*b5672 + 5*b8013*b5673
       + 6*b8014*b5674 + 6.5*b8015*b5675 + 6*b8016*b5676 + 6*b8017*b5677 + 5*
      b8018*b5678 + 6*b8019*b5679 + 7*b8020*b5680 + 6*b8021*b5681 + 7.5*b8022*
      b5682 + 6.5*b8023*b5683 + 6.5*b8024*b5684 + 6*b8025*b5685 + 6.5*b8026*
      b5686 + 5*b8027*b5687 + 5.5*b8028*b5688 + 5*b8029*b5689 + 5.5*b8030*b5690
       + 5.5*b8031*b5691 + 7.5*b8032*b5692 + 5*b8033*b5693 + 7*b8034*b5694 + 
      7.5*b8035*b5695 + 5*b8036*b5696 + 6.5*b8037*b5697 + 5*b8038*b5698 + 7.5*
      b8039*b5699 + 6*b8040*b5700 + 5.5*b8041*b5701 + 7.5*b8042*b5702 + 7*b8043
      *b5703 + 7*b8044*b5704 + 7.5*b8045*b5705 + 6*b8046*b5706 + 6.5*b8047*
      b5707 + 6.5*b8048*b5708 + 8*b8049*b5709 + 8*b8050*b5710 + 6*b8051*b5711
       + 7*b8052*b5712 + 8*b8053*b5713 + 7.5*b8054*b5714 + 5.5*b8055*b5715 + 
      7.5*b8056*b5716 + 8*b8057*b5717 + 7.5*b8058*b5718 + 7*b8059*b5719 + 6*
      b8060*b5720 + 6*b8061*b5721 + 6*b8062*b5722 + 7.5*b8063*b5723 + 6.5*b8064
      *b5724 + 5*b8065*b5725 + 6*b8066*b5726 + 6.5*b8067*b5727 + 6*b8068*b5728
       + 7*b8069*b5729 + 5*b8070*b5730 + 6*b8071*b5731 + 5.5*b8072*b5732 + 6.5*
      b8073*b5733 + 7.5*b8074*b5734 + 6.5*b8075*b5735 + 7*b8076*b5736 + 8*b8077
      *b5737 + 7.5*b8078*b5738 + 8*b8079*b5739 + 6.5*b8080*b5740 + 7*b8081*
      b5741 + 6.5*b8082*b5742 + 7*b8083*b5743 + 7*b8084*b5744 + 5*b8085*b5745
       + 5*b8086*b5746 + 7*b8087*b5747 + 7*b8088*b5748 + 5.5*b8089*b5749 + 6*
      b8090*b5750 + 7*b8091*b5751 + 6.5*b8092*b5752 + 8*b8093*b5753 + 6*b8094*
      b5754 + 6.5*b8095*b5755 + 7.5*b8096*b5756 + 6.5*b8097*b5757 + 6.5*b8098*
      b5758 + 8*b8099*b5759 + 6*b8100*b5760 + 8*b8101*b5761 + 6*b8102*b5762 + 7
      *b8103*b5763 + 7.5*b8104*b5764 + 6*b8105*b5765 + 7*b8106*b5766 + 8*b8107*
      b5767 + 7*b8108*b5768 + 6.5*b8109*b5769 + 7*b8110*b5770 + 7*b8111*b5771
       + 5*b8112*b5772 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e18.. 5*b6553*b7957 + 6.5*b6554*b7958 + 7.5*b6555*b7959 + 8*b6556*b7960 + 5.5*
      b6557*b7961 + 7*b6558*b7962 + 7*b6559*b7963 + 5.5*b6560*b7964 + 6*b6561*
      b7965 + 7*b6562*b7966 + 5*b6563*b7967 + 7*b6564*b7968 + 8*b6565*b7969 + 7
      *b6566*b7970 + 6*b6567*b7971 + 6.5*b6568*b7972 + 7.5*b6569*b7973 + 6*
      b6570*b7974 + 5.5*b6571*b7975 + 7.5*b6572*b7976 + 6*b6573*b7977 + 5.5*
      b6574*b7978 + 5*b6575*b7979 + 7*b6576*b7980 + 5.5*b6577*b7981 + 7*b6578*
      b7982 + 6.5*b6579*b7983 + 7*b6580*b7984 + 6*b6581*b7985 + 6.5*b6582*b7986
       + 5.5*b6583*b7987 + 8*b6584*b7988 + 8*b6585*b7989 + 6.5*b6586*b7990 + 
      7.5*b6587*b7991 + 6.5*b6588*b7992 + 7.5*b6589*b7993 + 5.5*b6590*b7994 + 
      5.5*b6591*b7995 + 5*b6592*b7996 + 5.5*b6593*b7997 + 7*b6594*b7998 + 8*
      b6595*b7999 + 5.5*b6596*b8000 + 7*b6597*b8001 + 8*b6598*b8002 + 7*b6599*
      b8003 + 8*b6600*b8004 + 6*b6601*b8005 + 7*b6602*b8006 + 7*b6603*b8007 + 
      5.5*b6604*b8008 + 8*b6605*b8009 + 5.5*b6606*b8010 + 6*b6607*b8011 + 6.5*
      b6608*b8012 + 5*b6609*b8013 + 6*b6610*b8014 + 6.5*b6611*b8015 + 6*b6612*
      b8016 + 6*b6613*b8017 + 5*b6614*b8018 + 6*b6615*b8019 + 7*b6616*b8020 + 6
      *b6617*b8021 + 7.5*b6618*b8022 + 6.5*b6619*b8023 + 6.5*b6620*b8024 + 6*
      b6621*b8025 + 6.5*b6622*b8026 + 5*b6623*b8027 + 5.5*b6624*b8028 + 5*b6625
      *b8029 + 5.5*b6626*b8030 + 5.5*b6627*b8031 + 7.5*b6628*b8032 + 5*b6629*
      b8033 + 7*b6630*b8034 + 7.5*b6631*b8035 + 5*b6632*b8036 + 6.5*b6633*b8037
       + 5*b6634*b8038 + 7.5*b6635*b8039 + 6*b6636*b8040 + 5.5*b6637*b8041 + 
      7.5*b6638*b8042 + 7*b6639*b8043 + 7*b6640*b8044 + 7.5*b6641*b8045 + 6*
      b6642*b8046 + 6.5*b6643*b8047 + 6.5*b6644*b8048 + 8*b6645*b8049 + 8*b6646
      *b8050 + 6*b6647*b8051 + 7*b6648*b8052 + 8*b6649*b8053 + 7.5*b6650*b8054
       + 5.5*b6651*b8055 + 7.5*b6652*b8056 + 8*b6653*b8057 + 7.5*b6654*b8058 + 
      7*b6655*b8059 + 6*b6656*b8060 + 6*b6657*b8061 + 6*b6658*b8062 + 7.5*b6659
      *b8063 + 6.5*b6660*b8064 + 5*b6661*b8065 + 6*b6662*b8066 + 6.5*b6663*
      b8067 + 6*b6664*b8068 + 7*b6665*b8069 + 5*b6666*b8070 + 6*b6667*b8071 + 
      5.5*b6668*b8072 + 6.5*b6669*b8073 + 7.5*b6670*b8074 + 6.5*b6671*b8075 + 7
      *b6672*b8076 + 8*b6673*b8077 + 7.5*b6674*b8078 + 8*b6675*b8079 + 6.5*
      b6676*b8080 + 7*b6677*b8081 + 6.5*b6678*b8082 + 7*b6679*b8083 + 7*b6680*
      b8084 + 5*b6681*b8085 + 5*b6682*b8086 + 7*b6683*b8087 + 7*b6684*b8088 + 
      5.5*b6685*b8089 + 6*b6686*b8090 + 7*b6687*b8091 + 6.5*b6688*b8092 + 8*
      b6689*b8093 + 6*b6690*b8094 + 6.5*b6691*b8095 + 7.5*b6692*b8096 + 6.5*
      b6693*b8097 + 6.5*b6694*b8098 + 8*b6695*b8099 + 6*b6696*b8100 + 8*b6697*
      b8101 + 6*b6698*b8102 + 7*b6699*b8103 + 7.5*b6700*b8104 + 6*b6701*b8105
       + 7*b6702*b8106 + 8*b6703*b8107 + 7*b6704*b8108 + 6.5*b6705*b8109 + 7*
      b6706*b8110 + 7*b6707*b8111 + 5*b6708*b8112 + 5*b7957*b6553 + 6.5*b7958*
      b6554 + 7.5*b7959*b6555 + 8*b7960*b6556 + 5.5*b7961*b6557 + 7*b7962*b6558
       + 7*b7963*b6559 + 5.5*b7964*b6560 + 6*b7965*b6561 + 7*b7966*b6562 + 5*
      b7967*b6563 + 7*b7968*b6564 + 8*b7969*b6565 + 7*b7970*b6566 + 6*b7971*
      b6567 + 6.5*b7972*b6568 + 7.5*b7973*b6569 + 6*b7974*b6570 + 5.5*b7975*
      b6571 + 7.5*b7976*b6572 + 6*b7977*b6573 + 5.5*b7978*b6574 + 5*b7979*b6575
       + 7*b7980*b6576 + 5.5*b7981*b6577 + 7*b7982*b6578 + 6.5*b7983*b6579 + 7*
      b7984*b6580 + 6*b7985*b6581 + 6.5*b7986*b6582 + 5.5*b7987*b6583 + 8*b7988
      *b6584 + 8*b7989*b6585 + 6.5*b7990*b6586 + 7.5*b7991*b6587 + 6.5*b7992*
      b6588 + 7.5*b7993*b6589 + 5.5*b7994*b6590 + 5.5*b7995*b6591 + 5*b7996*
      b6592 + 5.5*b7997*b6593 + 7*b7998*b6594 + 8*b7999*b6595 + 5.5*b8000*b6596
       + 7*b8001*b6597 + 8*b8002*b6598 + 7*b8003*b6599 + 8*b8004*b6600 + 6*
      b8005*b6601 + 7*b8006*b6602 + 7*b8007*b6603 + 5.5*b8008*b6604 + 8*b8009*
      b6605 + 5.5*b8010*b6606 + 6*b8011*b6607 + 6.5*b8012*b6608 + 5*b8013*b6609
       + 6*b8014*b6610 + 6.5*b8015*b6611 + 6*b8016*b6612 + 6*b8017*b6613 + 5*
      b8018*b6614 + 6*b8019*b6615 + 7*b8020*b6616 + 6*b8021*b6617 + 7.5*b8022*
      b6618 + 6.5*b8023*b6619 + 6.5*b8024*b6620 + 6*b8025*b6621 + 6.5*b8026*
      b6622 + 5*b8027*b6623 + 5.5*b8028*b6624 + 5*b8029*b6625 + 5.5*b8030*b6626
       + 5.5*b8031*b6627 + 7.5*b8032*b6628 + 5*b8033*b6629 + 7*b8034*b6630 + 
      7.5*b8035*b6631 + 5*b8036*b6632 + 6.5*b8037*b6633 + 5*b8038*b6634 + 7.5*
      b8039*b6635 + 6*b8040*b6636 + 5.5*b8041*b6637 + 7.5*b8042*b6638 + 7*b8043
      *b6639 + 7*b8044*b6640 + 7.5*b8045*b6641 + 6*b8046*b6642 + 6.5*b8047*
      b6643 + 6.5*b8048*b6644 + 8*b8049*b6645 + 8*b8050*b6646 + 6*b8051*b6647
       + 7*b8052*b6648 + 8*b8053*b6649 + 7.5*b8054*b6650 + 5.5*b8055*b6651 + 
      7.5*b8056*b6652 + 8*b8057*b6653 + 7.5*b8058*b6654 + 7*b8059*b6655 + 6*
      b8060*b6656 + 6*b8061*b6657 + 6*b8062*b6658 + 7.5*b8063*b6659 + 6.5*b8064
      *b6660 + 5*b8065*b6661 + 6*b8066*b6662 + 6.5*b8067*b6663 + 6*b8068*b6664
       + 7*b8069*b6665 + 5*b8070*b6666 + 6*b8071*b6667 + 5.5*b8072*b6668 + 6.5*
      b8073*b6669 + 7.5*b8074*b6670 + 6.5*b8075*b6671 + 7*b8076*b6672 + 8*b8077
      *b6673 + 7.5*b8078*b6674 + 8*b8079*b6675 + 6.5*b8080*b6676 + 7*b8081*
      b6677 + 6.5*b8082*b6678 + 7*b8083*b6679 + 7*b8084*b6680 + 5*b8085*b6681
       + 5*b8086*b6682 + 7*b8087*b6683 + 7*b8088*b6684 + 5.5*b8089*b6685 + 6*
      b8090*b6686 + 7*b8091*b6687 + 6.5*b8092*b6688 + 8*b8093*b6689 + 6*b8094*
      b6690 + 6.5*b8095*b6691 + 7.5*b8096*b6692 + 6.5*b8097*b6693 + 6.5*b8098*
      b6694 + 8*b8099*b6695 + 6*b8100*b6696 + 8*b8101*b6697 + 6*b8102*b6698 + 7
      *b8103*b6699 + 7.5*b8104*b6700 + 6*b8105*b6701 + 7*b8106*b6702 + 8*b8107*
      b6703 + 7*b8108*b6704 + 6.5*b8109*b6705 + 7*b8110*b6706 + 7*b8111*b6707
       + 5*b8112*b6708 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e19.. 5*b7177*b7957 + 6.5*b7178*b7958 + 7.5*b7179*b7959 + 8*b7180*b7960 + 5.5*
      b7181*b7961 + 7*b7182*b7962 + 7*b7183*b7963 + 5.5*b7184*b7964 + 6*b7185*
      b7965 + 7*b7186*b7966 + 5*b7187*b7967 + 7*b7188*b7968 + 8*b7189*b7969 + 7
      *b7190*b7970 + 6*b7191*b7971 + 6.5*b7192*b7972 + 7.5*b7193*b7973 + 6*
      b7194*b7974 + 5.5*b7195*b7975 + 7.5*b7196*b7976 + 6*b7197*b7977 + 5.5*
      b7198*b7978 + 5*b7199*b7979 + 7*b7200*b7980 + 5.5*b7201*b7981 + 7*b7202*
      b7982 + 6.5*b7203*b7983 + 7*b7204*b7984 + 6*b7205*b7985 + 6.5*b7206*b7986
       + 5.5*b7207*b7987 + 8*b7208*b7988 + 8*b7209*b7989 + 6.5*b7210*b7990 + 
      7.5*b7211*b7991 + 6.5*b7212*b7992 + 7.5*b7213*b7993 + 5.5*b7214*b7994 + 
      5.5*b7215*b7995 + 5*b7216*b7996 + 5.5*b7217*b7997 + 7*b7218*b7998 + 8*
      b7219*b7999 + 5.5*b7220*b8000 + 7*b7221*b8001 + 8*b7222*b8002 + 7*b7223*
      b8003 + 8*b7224*b8004 + 6*b7225*b8005 + 7*b7226*b8006 + 7*b7227*b8007 + 
      5.5*b7228*b8008 + 8*b7229*b8009 + 5.5*b7230*b8010 + 6*b7231*b8011 + 6.5*
      b7232*b8012 + 5*b7233*b8013 + 6*b7234*b8014 + 6.5*b7235*b8015 + 6*b7236*
      b8016 + 6*b7237*b8017 + 5*b7238*b8018 + 6*b7239*b8019 + 7*b7240*b8020 + 6
      *b7241*b8021 + 7.5*b7242*b8022 + 6.5*b7243*b8023 + 6.5*b7244*b8024 + 6*
      b7245*b8025 + 6.5*b7246*b8026 + 5*b7247*b8027 + 5.5*b7248*b8028 + 5*b7249
      *b8029 + 5.5*b7250*b8030 + 5.5*b7251*b8031 + 7.5*b7252*b8032 + 5*b7253*
      b8033 + 7*b7254*b8034 + 7.5*b7255*b8035 + 5*b7256*b8036 + 6.5*b7257*b8037
       + 5*b7258*b8038 + 7.5*b7259*b8039 + 6*b7260*b8040 + 5.5*b7261*b8041 + 
      7.5*b7262*b8042 + 7*b7263*b8043 + 7*b7264*b8044 + 7.5*b7265*b8045 + 6*
      b7266*b8046 + 6.5*b7267*b8047 + 6.5*b7268*b8048 + 8*b7269*b8049 + 8*b7270
      *b8050 + 6*b7271*b8051 + 7*b7272*b8052 + 8*b7273*b8053 + 7.5*b7274*b8054
       + 5.5*b7275*b8055 + 7.5*b7276*b8056 + 8*b7277*b8057 + 7.5*b7278*b8058 + 
      7*b7279*b8059 + 6*b7280*b8060 + 6*b7281*b8061 + 6*b7282*b8062 + 7.5*b7283
      *b8063 + 6.5*b7284*b8064 + 5*b7285*b8065 + 6*b7286*b8066 + 6.5*b7287*
      b8067 + 6*b7288*b8068 + 7*b7289*b8069 + 5*b7290*b8070 + 6*b7291*b8071 + 
      5.5*b7292*b8072 + 6.5*b7293*b8073 + 7.5*b7294*b8074 + 6.5*b7295*b8075 + 7
      *b7296*b8076 + 8*b7297*b8077 + 7.5*b7298*b8078 + 8*b7299*b8079 + 6.5*
      b7300*b8080 + 7*b7301*b8081 + 6.5*b7302*b8082 + 7*b7303*b8083 + 7*b7304*
      b8084 + 5*b7305*b8085 + 5*b7306*b8086 + 7*b7307*b8087 + 7*b7308*b8088 + 
      5.5*b7309*b8089 + 6*b7310*b8090 + 7*b7311*b8091 + 6.5*b7312*b8092 + 8*
      b7313*b8093 + 6*b7314*b8094 + 6.5*b7315*b8095 + 7.5*b7316*b8096 + 6.5*
      b7317*b8097 + 6.5*b7318*b8098 + 8*b7319*b8099 + 6*b7320*b8100 + 8*b7321*
      b8101 + 6*b7322*b8102 + 7*b7323*b8103 + 7.5*b7324*b8104 + 6*b7325*b8105
       + 7*b7326*b8106 + 8*b7327*b8107 + 7*b7328*b8108 + 6.5*b7329*b8109 + 7*
      b7330*b8110 + 7*b7331*b8111 + 5*b7332*b8112 + 5*b7957*b7177 + 6.5*b7958*
      b7178 + 7.5*b7959*b7179 + 8*b7960*b7180 + 5.5*b7961*b7181 + 7*b7962*b7182
       + 7*b7963*b7183 + 5.5*b7964*b7184 + 6*b7965*b7185 + 7*b7966*b7186 + 5*
      b7967*b7187 + 7*b7968*b7188 + 8*b7969*b7189 + 7*b7970*b7190 + 6*b7971*
      b7191 + 6.5*b7972*b7192 + 7.5*b7973*b7193 + 6*b7974*b7194 + 5.5*b7975*
      b7195 + 7.5*b7976*b7196 + 6*b7977*b7197 + 5.5*b7978*b7198 + 5*b7979*b7199
       + 7*b7980*b7200 + 5.5*b7981*b7201 + 7*b7982*b7202 + 6.5*b7983*b7203 + 7*
      b7984*b7204 + 6*b7985*b7205 + 6.5*b7986*b7206 + 5.5*b7987*b7207 + 8*b7988
      *b7208 + 8*b7989*b7209 + 6.5*b7990*b7210 + 7.5*b7991*b7211 + 6.5*b7992*
      b7212 + 7.5*b7993*b7213 + 5.5*b7994*b7214 + 5.5*b7995*b7215 + 5*b7996*
      b7216 + 5.5*b7997*b7217 + 7*b7998*b7218 + 8*b7999*b7219 + 5.5*b8000*b7220
       + 7*b8001*b7221 + 8*b8002*b7222 + 7*b8003*b7223 + 8*b8004*b7224 + 6*
      b8005*b7225 + 7*b8006*b7226 + 7*b8007*b7227 + 5.5*b8008*b7228 + 8*b8009*
      b7229 + 5.5*b8010*b7230 + 6*b8011*b7231 + 6.5*b8012*b7232 + 5*b8013*b7233
       + 6*b8014*b7234 + 6.5*b8015*b7235 + 6*b8016*b7236 + 6*b8017*b7237 + 5*
      b8018*b7238 + 6*b8019*b7239 + 7*b8020*b7240 + 6*b8021*b7241 + 7.5*b8022*
      b7242 + 6.5*b8023*b7243 + 6.5*b8024*b7244 + 6*b8025*b7245 + 6.5*b8026*
      b7246 + 5*b8027*b7247 + 5.5*b8028*b7248 + 5*b8029*b7249 + 5.5*b8030*b7250
       + 5.5*b8031*b7251 + 7.5*b8032*b7252 + 5*b8033*b7253 + 7*b8034*b7254 + 
      7.5*b8035*b7255 + 5*b8036*b7256 + 6.5*b8037*b7257 + 5*b8038*b7258 + 7.5*
      b8039*b7259 + 6*b8040*b7260 + 5.5*b8041*b7261 + 7.5*b8042*b7262 + 7*b8043
      *b7263 + 7*b8044*b7264 + 7.5*b8045*b7265 + 6*b8046*b7266 + 6.5*b8047*
      b7267 + 6.5*b8048*b7268 + 8*b8049*b7269 + 8*b8050*b7270 + 6*b8051*b7271
       + 7*b8052*b7272 + 8*b8053*b7273 + 7.5*b8054*b7274 + 5.5*b8055*b7275 + 
      7.5*b8056*b7276 + 8*b8057*b7277 + 7.5*b8058*b7278 + 7*b8059*b7279 + 6*
      b8060*b7280 + 6*b8061*b7281 + 6*b8062*b7282 + 7.5*b8063*b7283 + 6.5*b8064
      *b7284 + 5*b8065*b7285 + 6*b8066*b7286 + 6.5*b8067*b7287 + 6*b8068*b7288
       + 7*b8069*b7289 + 5*b8070*b7290 + 6*b8071*b7291 + 5.5*b8072*b7292 + 6.5*
      b8073*b7293 + 7.5*b8074*b7294 + 6.5*b8075*b7295 + 7*b8076*b7296 + 8*b8077
      *b7297 + 7.5*b8078*b7298 + 8*b8079*b7299 + 6.5*b8080*b7300 + 7*b8081*
      b7301 + 6.5*b8082*b7302 + 7*b8083*b7303 + 7*b8084*b7304 + 5*b8085*b7305
       + 5*b8086*b7306 + 7*b8087*b7307 + 7*b8088*b7308 + 5.5*b8089*b7309 + 6*
      b8090*b7310 + 7*b8091*b7311 + 6.5*b8092*b7312 + 8*b8093*b7313 + 6*b8094*
      b7314 + 6.5*b8095*b7315 + 7.5*b8096*b7316 + 6.5*b8097*b7317 + 6.5*b8098*
      b7318 + 8*b8099*b7319 + 6*b8100*b7320 + 8*b8101*b7321 + 6*b8102*b7322 + 7
      *b8103*b7323 + 7.5*b8104*b7324 + 6*b8105*b7325 + 7*b8106*b7326 + 8*b8107*
      b7327 + 7*b8108*b7328 + 6.5*b8109*b7329 + 7*b8110*b7330 + 7*b8111*b7331
       + 5*b8112*b7332 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e20.. 5*b1249*b7957 + 6.5*b1250*b7958 + 7.5*b1251*b7959 + 8*b1252*b7960 + 5.5*
      b1253*b7961 + 7*b1254*b7962 + 7*b1255*b7963 + 5.5*b1256*b7964 + 6*b1257*
      b7965 + 7*b1258*b7966 + 5*b1259*b7967 + 7*b1260*b7968 + 8*b1261*b7969 + 7
      *b1262*b7970 + 6*b1263*b7971 + 6.5*b1264*b7972 + 7.5*b1265*b7973 + 6*
      b1266*b7974 + 5.5*b1267*b7975 + 7.5*b1268*b7976 + 6*b1269*b7977 + 5.5*
      b1270*b7978 + 5*b1271*b7979 + 7*b1272*b7980 + 5.5*b1273*b7981 + 7*b1274*
      b7982 + 6.5*b1275*b7983 + 7*b1276*b7984 + 6*b1277*b7985 + 6.5*b1278*b7986
       + 5.5*b1279*b7987 + 8*b1280*b7988 + 8*b1281*b7989 + 6.5*b1282*b7990 + 
      7.5*b1283*b7991 + 6.5*b1284*b7992 + 7.5*b1285*b7993 + 5.5*b1286*b7994 + 
      5.5*b1287*b7995 + 5*b1288*b7996 + 5.5*b1289*b7997 + 7*b1290*b7998 + 8*
      b1291*b7999 + 5.5*b1292*b8000 + 7*b1293*b8001 + 8*b1294*b8002 + 7*b1295*
      b8003 + 8*b1296*b8004 + 6*b1297*b8005 + 7*b1298*b8006 + 7*b1299*b8007 + 
      5.5*b1300*b8008 + 8*b1301*b8009 + 5.5*b1302*b8010 + 6*b1303*b8011 + 6.5*
      b1304*b8012 + 5*b1305*b8013 + 6*b1306*b8014 + 6.5*b1307*b8015 + 6*b1308*
      b8016 + 6*b1309*b8017 + 5*b1310*b8018 + 6*b1311*b8019 + 7*b1312*b8020 + 6
      *b1313*b8021 + 7.5*b1314*b8022 + 6.5*b1315*b8023 + 6.5*b1316*b8024 + 6*
      b1317*b8025 + 6.5*b1318*b8026 + 5*b1319*b8027 + 5.5*b1320*b8028 + 5*b1321
      *b8029 + 5.5*b1322*b8030 + 5.5*b1323*b8031 + 7.5*b1324*b8032 + 5*b1325*
      b8033 + 7*b1326*b8034 + 7.5*b1327*b8035 + 5*b1328*b8036 + 6.5*b1329*b8037
       + 5*b1330*b8038 + 7.5*b1331*b8039 + 6*b1332*b8040 + 5.5*b1333*b8041 + 
      7.5*b1334*b8042 + 7*b1335*b8043 + 7*b1336*b8044 + 7.5*b1337*b8045 + 6*
      b1338*b8046 + 6.5*b1339*b8047 + 6.5*b1340*b8048 + 8*b1341*b8049 + 8*b1342
      *b8050 + 6*b1343*b8051 + 7*b1344*b8052 + 8*b1345*b8053 + 7.5*b1346*b8054
       + 5.5*b1347*b8055 + 7.5*b1348*b8056 + 8*b1349*b8057 + 7.5*b1350*b8058 + 
      7*b1351*b8059 + 6*b1352*b8060 + 6*b1353*b8061 + 6*b1354*b8062 + 7.5*b1355
      *b8063 + 6.5*b1356*b8064 + 5*b1357*b8065 + 6*b1358*b8066 + 6.5*b1359*
      b8067 + 6*b1360*b8068 + 7*b1361*b8069 + 5*b1362*b8070 + 6*b1363*b8071 + 
      5.5*b1364*b8072 + 6.5*b1365*b8073 + 7.5*b1366*b8074 + 6.5*b1367*b8075 + 7
      *b1368*b8076 + 8*b1369*b8077 + 7.5*b1370*b8078 + 8*b1371*b8079 + 6.5*
      b1372*b8080 + 7*b1373*b8081 + 6.5*b1374*b8082 + 7*b1375*b8083 + 7*b1376*
      b8084 + 5*b1377*b8085 + 5*b1378*b8086 + 7*b1379*b8087 + 7*b1380*b8088 + 
      5.5*b1381*b8089 + 6*b1382*b8090 + 7*b1383*b8091 + 6.5*b1384*b8092 + 8*
      b1385*b8093 + 6*b1386*b8094 + 6.5*b1387*b8095 + 7.5*b1388*b8096 + 6.5*
      b1389*b8097 + 6.5*b1390*b8098 + 8*b1391*b8099 + 6*b1392*b8100 + 8*b1393*
      b8101 + 6*b1394*b8102 + 7*b1395*b8103 + 7.5*b1396*b8104 + 6*b1397*b8105
       + 7*b1398*b8106 + 8*b1399*b8107 + 7*b1400*b8108 + 6.5*b1401*b8109 + 7*
      b1402*b8110 + 7*b1403*b8111 + 5*b1404*b8112 + 5*b7957*b1249 + 6.5*b7958*
      b1250 + 7.5*b7959*b1251 + 8*b7960*b1252 + 5.5*b7961*b1253 + 7*b7962*b1254
       + 7*b7963*b1255 + 5.5*b7964*b1256 + 6*b7965*b1257 + 7*b7966*b1258 + 5*
      b7967*b1259 + 7*b7968*b1260 + 8*b7969*b1261 + 7*b7970*b1262 + 6*b7971*
      b1263 + 6.5*b7972*b1264 + 7.5*b7973*b1265 + 6*b7974*b1266 + 5.5*b7975*
      b1267 + 7.5*b7976*b1268 + 6*b7977*b1269 + 5.5*b7978*b1270 + 5*b7979*b1271
       + 7*b7980*b1272 + 5.5*b7981*b1273 + 7*b7982*b1274 + 6.5*b7983*b1275 + 7*
      b7984*b1276 + 6*b7985*b1277 + 6.5*b7986*b1278 + 5.5*b7987*b1279 + 8*b7988
      *b1280 + 8*b7989*b1281 + 6.5*b7990*b1282 + 7.5*b7991*b1283 + 6.5*b7992*
      b1284 + 7.5*b7993*b1285 + 5.5*b7994*b1286 + 5.5*b7995*b1287 + 5*b7996*
      b1288 + 5.5*b7997*b1289 + 7*b7998*b1290 + 8*b7999*b1291 + 5.5*b8000*b1292
       + 7*b8001*b1293 + 8*b8002*b1294 + 7*b8003*b1295 + 8*b8004*b1296 + 6*
      b8005*b1297 + 7*b8006*b1298 + 7*b8007*b1299 + 5.5*b8008*b1300 + 8*b8009*
      b1301 + 5.5*b8010*b1302 + 6*b8011*b1303 + 6.5*b8012*b1304 + 5*b8013*b1305
       + 6*b8014*b1306 + 6.5*b8015*b1307 + 6*b8016*b1308 + 6*b8017*b1309 + 5*
      b8018*b1310 + 6*b8019*b1311 + 7*b8020*b1312 + 6*b8021*b1313 + 7.5*b8022*
      b1314 + 6.5*b8023*b1315 + 6.5*b8024*b1316 + 6*b8025*b1317 + 6.5*b8026*
      b1318 + 5*b8027*b1319 + 5.5*b8028*b1320 + 5*b8029*b1321 + 5.5*b8030*b1322
       + 5.5*b8031*b1323 + 7.5*b8032*b1324 + 5*b8033*b1325 + 7*b8034*b1326 + 
      7.5*b8035*b1327 + 5*b8036*b1328 + 6.5*b8037*b1329 + 5*b8038*b1330 + 7.5*
      b8039*b1331 + 6*b8040*b1332 + 5.5*b8041*b1333 + 7.5*b8042*b1334 + 7*b8043
      *b1335 + 7*b8044*b1336 + 7.5*b8045*b1337 + 6*b8046*b1338 + 6.5*b8047*
      b1339 + 6.5*b8048*b1340 + 8*b8049*b1341 + 8*b8050*b1342 + 6*b8051*b1343
       + 7*b8052*b1344 + 8*b8053*b1345 + 7.5*b8054*b1346 + 5.5*b8055*b1347 + 
      7.5*b8056*b1348 + 8*b8057*b1349 + 7.5*b8058*b1350 + 7*b8059*b1351 + 6*
      b8060*b1352 + 6*b8061*b1353 + 6*b8062*b1354 + 7.5*b8063*b1355 + 6.5*b8064
      *b1356 + 5*b8065*b1357 + 6*b8066*b1358 + 6.5*b8067*b1359 + 6*b8068*b1360
       + 7*b8069*b1361 + 5*b8070*b1362 + 6*b8071*b1363 + 5.5*b8072*b1364 + 6.5*
      b8073*b1365 + 7.5*b8074*b1366 + 6.5*b8075*b1367 + 7*b8076*b1368 + 8*b8077
      *b1369 + 7.5*b8078*b1370 + 8*b8079*b1371 + 6.5*b8080*b1372 + 7*b8081*
      b1373 + 6.5*b8082*b1374 + 7*b8083*b1375 + 7*b8084*b1376 + 5*b8085*b1377
       + 5*b8086*b1378 + 7*b8087*b1379 + 7*b8088*b1380 + 5.5*b8089*b1381 + 6*
      b8090*b1382 + 7*b8091*b1383 + 6.5*b8092*b1384 + 8*b8093*b1385 + 6*b8094*
      b1386 + 6.5*b8095*b1387 + 7.5*b8096*b1388 + 6.5*b8097*b1389 + 6.5*b8098*
      b1390 + 8*b8099*b1391 + 6*b8100*b1392 + 8*b8101*b1393 + 6*b8102*b1394 + 7
      *b8103*b1395 + 7.5*b8104*b1396 + 6*b8105*b1397 + 7*b8106*b1398 + 8*b8107*
      b1399 + 7*b8108*b1400 + 6.5*b8109*b1401 + 7*b8110*b1402 + 7*b8111*b1403
       + 5*b8112*b1404 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e21.. 5*b1873*b7957 + 6.5*b1874*b7958 + 7.5*b1875*b7959 + 8*b1876*b7960 + 5.5*
      b1877*b7961 + 7*b1878*b7962 + 7*b1879*b7963 + 5.5*b1880*b7964 + 6*b1881*
      b7965 + 7*b1882*b7966 + 5*b1883*b7967 + 7*b1884*b7968 + 8*b1885*b7969 + 7
      *b1886*b7970 + 6*b1887*b7971 + 6.5*b1888*b7972 + 7.5*b1889*b7973 + 6*
      b1890*b7974 + 5.5*b1891*b7975 + 7.5*b1892*b7976 + 6*b1893*b7977 + 5.5*
      b1894*b7978 + 5*b1895*b7979 + 7*b1896*b7980 + 5.5*b1897*b7981 + 7*b1898*
      b7982 + 6.5*b1899*b7983 + 7*b1900*b7984 + 6*b1901*b7985 + 6.5*b1902*b7986
       + 5.5*b1903*b7987 + 8*b1904*b7988 + 8*b1905*b7989 + 6.5*b1906*b7990 + 
      7.5*b1907*b7991 + 6.5*b1908*b7992 + 7.5*b1909*b7993 + 5.5*b1910*b7994 + 
      5.5*b1911*b7995 + 5*b1912*b7996 + 5.5*b1913*b7997 + 7*b1914*b7998 + 8*
      b1915*b7999 + 5.5*b1916*b8000 + 7*b1917*b8001 + 8*b1918*b8002 + 7*b1919*
      b8003 + 8*b1920*b8004 + 6*b1921*b8005 + 7*b1922*b8006 + 7*b1923*b8007 + 
      5.5*b1924*b8008 + 8*b1925*b8009 + 5.5*b1926*b8010 + 6*b1927*b8011 + 6.5*
      b1928*b8012 + 5*b1929*b8013 + 6*b1930*b8014 + 6.5*b1931*b8015 + 6*b1932*
      b8016 + 6*b1933*b8017 + 5*b1934*b8018 + 6*b1935*b8019 + 7*b1936*b8020 + 6
      *b1937*b8021 + 7.5*b1938*b8022 + 6.5*b1939*b8023 + 6.5*b1940*b8024 + 6*
      b1941*b8025 + 6.5*b1942*b8026 + 5*b1943*b8027 + 5.5*b1944*b8028 + 5*b1945
      *b8029 + 5.5*b1946*b8030 + 5.5*b1947*b8031 + 7.5*b1948*b8032 + 5*b1949*
      b8033 + 7*b1950*b8034 + 7.5*b1951*b8035 + 5*b1952*b8036 + 6.5*b1953*b8037
       + 5*b1954*b8038 + 7.5*b1955*b8039 + 6*b1956*b8040 + 5.5*b1957*b8041 + 
      7.5*b1958*b8042 + 7*b1959*b8043 + 7*b1960*b8044 + 7.5*b1961*b8045 + 6*
      b1962*b8046 + 6.5*b1963*b8047 + 6.5*b1964*b8048 + 8*b1965*b8049 + 8*b1966
      *b8050 + 6*b1967*b8051 + 7*b1968*b8052 + 8*b1969*b8053 + 7.5*b1970*b8054
       + 5.5*b1971*b8055 + 7.5*b1972*b8056 + 8*b1973*b8057 + 7.5*b1974*b8058 + 
      7*b1975*b8059 + 6*b1976*b8060 + 6*b1977*b8061 + 6*b1978*b8062 + 7.5*b1979
      *b8063 + 6.5*b1980*b8064 + 5*b1981*b8065 + 6*b1982*b8066 + 6.5*b1983*
      b8067 + 6*b1984*b8068 + 7*b1985*b8069 + 5*b1986*b8070 + 6*b1987*b8071 + 
      5.5*b1988*b8072 + 6.5*b1989*b8073 + 7.5*b1990*b8074 + 6.5*b1991*b8075 + 7
      *b1992*b8076 + 8*b1993*b8077 + 7.5*b1994*b8078 + 8*b1995*b8079 + 6.5*
      b1996*b8080 + 7*b1997*b8081 + 6.5*b1998*b8082 + 7*b1999*b8083 + 7*b2000*
      b8084 + 5*b2001*b8085 + 5*b2002*b8086 + 7*b2003*b8087 + 7*b2004*b8088 + 
      5.5*b2005*b8089 + 6*b2006*b8090 + 7*b2007*b8091 + 6.5*b2008*b8092 + 8*
      b2009*b8093 + 6*b2010*b8094 + 6.5*b2011*b8095 + 7.5*b2012*b8096 + 6.5*
      b2013*b8097 + 6.5*b2014*b8098 + 8*b2015*b8099 + 6*b2016*b8100 + 8*b2017*
      b8101 + 6*b2018*b8102 + 7*b2019*b8103 + 7.5*b2020*b8104 + 6*b2021*b8105
       + 7*b2022*b8106 + 8*b2023*b8107 + 7*b2024*b8108 + 6.5*b2025*b8109 + 7*
      b2026*b8110 + 7*b2027*b8111 + 5*b2028*b8112 + 5*b7957*b1873 + 6.5*b7958*
      b1874 + 7.5*b7959*b1875 + 8*b7960*b1876 + 5.5*b7961*b1877 + 7*b7962*b1878
       + 7*b7963*b1879 + 5.5*b7964*b1880 + 6*b7965*b1881 + 7*b7966*b1882 + 5*
      b7967*b1883 + 7*b7968*b1884 + 8*b7969*b1885 + 7*b7970*b1886 + 6*b7971*
      b1887 + 6.5*b7972*b1888 + 7.5*b7973*b1889 + 6*b7974*b1890 + 5.5*b7975*
      b1891 + 7.5*b7976*b1892 + 6*b7977*b1893 + 5.5*b7978*b1894 + 5*b7979*b1895
       + 7*b7980*b1896 + 5.5*b7981*b1897 + 7*b7982*b1898 + 6.5*b7983*b1899 + 7*
      b7984*b1900 + 6*b7985*b1901 + 6.5*b7986*b1902 + 5.5*b7987*b1903 + 8*b7988
      *b1904 + 8*b7989*b1905 + 6.5*b7990*b1906 + 7.5*b7991*b1907 + 6.5*b7992*
      b1908 + 7.5*b7993*b1909 + 5.5*b7994*b1910 + 5.5*b7995*b1911 + 5*b7996*
      b1912 + 5.5*b7997*b1913 + 7*b7998*b1914 + 8*b7999*b1915 + 5.5*b8000*b1916
       + 7*b8001*b1917 + 8*b8002*b1918 + 7*b8003*b1919 + 8*b8004*b1920 + 6*
      b8005*b1921 + 7*b8006*b1922 + 7*b8007*b1923 + 5.5*b8008*b1924 + 8*b8009*
      b1925 + 5.5*b8010*b1926 + 6*b8011*b1927 + 6.5*b8012*b1928 + 5*b8013*b1929
       + 6*b8014*b1930 + 6.5*b8015*b1931 + 6*b8016*b1932 + 6*b8017*b1933 + 5*
      b8018*b1934 + 6*b8019*b1935 + 7*b8020*b1936 + 6*b8021*b1937 + 7.5*b8022*
      b1938 + 6.5*b8023*b1939 + 6.5*b8024*b1940 + 6*b8025*b1941 + 6.5*b8026*
      b1942 + 5*b8027*b1943 + 5.5*b8028*b1944 + 5*b8029*b1945 + 5.5*b8030*b1946
       + 5.5*b8031*b1947 + 7.5*b8032*b1948 + 5*b8033*b1949 + 7*b8034*b1950 + 
      7.5*b8035*b1951 + 5*b8036*b1952 + 6.5*b8037*b1953 + 5*b8038*b1954 + 7.5*
      b8039*b1955 + 6*b8040*b1956 + 5.5*b8041*b1957 + 7.5*b8042*b1958 + 7*b8043
      *b1959 + 7*b8044*b1960 + 7.5*b8045*b1961 + 6*b8046*b1962 + 6.5*b8047*
      b1963 + 6.5*b8048*b1964 + 8*b8049*b1965 + 8*b8050*b1966 + 6*b8051*b1967
       + 7*b8052*b1968 + 8*b8053*b1969 + 7.5*b8054*b1970 + 5.5*b8055*b1971 + 
      7.5*b8056*b1972 + 8*b8057*b1973 + 7.5*b8058*b1974 + 7*b8059*b1975 + 6*
      b8060*b1976 + 6*b8061*b1977 + 6*b8062*b1978 + 7.5*b8063*b1979 + 6.5*b8064
      *b1980 + 5*b8065*b1981 + 6*b8066*b1982 + 6.5*b8067*b1983 + 6*b8068*b1984
       + 7*b8069*b1985 + 5*b8070*b1986 + 6*b8071*b1987 + 5.5*b8072*b1988 + 6.5*
      b8073*b1989 + 7.5*b8074*b1990 + 6.5*b8075*b1991 + 7*b8076*b1992 + 8*b8077
      *b1993 + 7.5*b8078*b1994 + 8*b8079*b1995 + 6.5*b8080*b1996 + 7*b8081*
      b1997 + 6.5*b8082*b1998 + 7*b8083*b1999 + 7*b8084*b2000 + 5*b8085*b2001
       + 5*b8086*b2002 + 7*b8087*b2003 + 7*b8088*b2004 + 5.5*b8089*b2005 + 6*
      b8090*b2006 + 7*b8091*b2007 + 6.5*b8092*b2008 + 8*b8093*b2009 + 6*b8094*
      b2010 + 6.5*b8095*b2011 + 7.5*b8096*b2012 + 6.5*b8097*b2013 + 6.5*b8098*
      b2014 + 8*b8099*b2015 + 6*b8100*b2016 + 8*b8101*b2017 + 6*b8102*b2018 + 7
      *b8103*b2019 + 7.5*b8104*b2020 + 6*b8105*b2021 + 7*b8106*b2022 + 8*b8107*
      b2023 + 7*b8108*b2024 + 6.5*b8109*b2025 + 7*b8110*b2026 + 7*b8111*b2027
       + 5*b8112*b2028 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e22.. 5*b2809*b7957 + 6.5*b2810*b7958 + 7.5*b2811*b7959 + 8*b2812*b7960 + 5.5*
      b2813*b7961 + 7*b2814*b7962 + 7*b2815*b7963 + 5.5*b2816*b7964 + 6*b2817*
      b7965 + 7*b2818*b7966 + 5*b2819*b7967 + 7*b2820*b7968 + 8*b2821*b7969 + 7
      *b2822*b7970 + 6*b2823*b7971 + 6.5*b2824*b7972 + 7.5*b2825*b7973 + 6*
      b2826*b7974 + 5.5*b2827*b7975 + 7.5*b2828*b7976 + 6*b2829*b7977 + 5.5*
      b2830*b7978 + 5*b2831*b7979 + 7*b2832*b7980 + 5.5*b2833*b7981 + 7*b2834*
      b7982 + 6.5*b2835*b7983 + 7*b2836*b7984 + 6*b2837*b7985 + 6.5*b2838*b7986
       + 5.5*b2839*b7987 + 8*b2840*b7988 + 8*b2841*b7989 + 6.5*b2842*b7990 + 
      7.5*b2843*b7991 + 6.5*b2844*b7992 + 7.5*b2845*b7993 + 5.5*b2846*b7994 + 
      5.5*b2847*b7995 + 5*b2848*b7996 + 5.5*b2849*b7997 + 7*b2850*b7998 + 8*
      b2851*b7999 + 5.5*b2852*b8000 + 7*b2853*b8001 + 8*b2854*b8002 + 7*b2855*
      b8003 + 8*b2856*b8004 + 6*b2857*b8005 + 7*b2858*b8006 + 7*b2859*b8007 + 
      5.5*b2860*b8008 + 8*b2861*b8009 + 5.5*b2862*b8010 + 6*b2863*b8011 + 6.5*
      b2864*b8012 + 5*b2865*b8013 + 6*b2866*b8014 + 6.5*b2867*b8015 + 6*b2868*
      b8016 + 6*b2869*b8017 + 5*b2870*b8018 + 6*b2871*b8019 + 7*b2872*b8020 + 6
      *b2873*b8021 + 7.5*b2874*b8022 + 6.5*b2875*b8023 + 6.5*b2876*b8024 + 6*
      b2877*b8025 + 6.5*b2878*b8026 + 5*b2879*b8027 + 5.5*b2880*b8028 + 5*b2881
      *b8029 + 5.5*b2882*b8030 + 5.5*b2883*b8031 + 7.5*b2884*b8032 + 5*b2885*
      b8033 + 7*b2886*b8034 + 7.5*b2887*b8035 + 5*b2888*b8036 + 6.5*b2889*b8037
       + 5*b2890*b8038 + 7.5*b2891*b8039 + 6*b2892*b8040 + 5.5*b2893*b8041 + 
      7.5*b2894*b8042 + 7*b2895*b8043 + 7*b2896*b8044 + 7.5*b2897*b8045 + 6*
      b2898*b8046 + 6.5*b2899*b8047 + 6.5*b2900*b8048 + 8*b2901*b8049 + 8*b2902
      *b8050 + 6*b2903*b8051 + 7*b2904*b8052 + 8*b2905*b8053 + 7.5*b2906*b8054
       + 5.5*b2907*b8055 + 7.5*b2908*b8056 + 8*b2909*b8057 + 7.5*b2910*b8058 + 
      7*b2911*b8059 + 6*b2912*b8060 + 6*b2913*b8061 + 6*b2914*b8062 + 7.5*b2915
      *b8063 + 6.5*b2916*b8064 + 5*b2917*b8065 + 6*b2918*b8066 + 6.5*b2919*
      b8067 + 6*b2920*b8068 + 7*b2921*b8069 + 5*b2922*b8070 + 6*b2923*b8071 + 
      5.5*b2924*b8072 + 6.5*b2925*b8073 + 7.5*b2926*b8074 + 6.5*b2927*b8075 + 7
      *b2928*b8076 + 8*b2929*b8077 + 7.5*b2930*b8078 + 8*b2931*b8079 + 6.5*
      b2932*b8080 + 7*b2933*b8081 + 6.5*b2934*b8082 + 7*b2935*b8083 + 7*b2936*
      b8084 + 5*b2937*b8085 + 5*b2938*b8086 + 7*b2939*b8087 + 7*b2940*b8088 + 
      5.5*b2941*b8089 + 6*b2942*b8090 + 7*b2943*b8091 + 6.5*b2944*b8092 + 8*
      b2945*b8093 + 6*b2946*b8094 + 6.5*b2947*b8095 + 7.5*b2948*b8096 + 6.5*
      b2949*b8097 + 6.5*b2950*b8098 + 8*b2951*b8099 + 6*b2952*b8100 + 8*b2953*
      b8101 + 6*b2954*b8102 + 7*b2955*b8103 + 7.5*b2956*b8104 + 6*b2957*b8105
       + 7*b2958*b8106 + 8*b2959*b8107 + 7*b2960*b8108 + 6.5*b2961*b8109 + 7*
      b2962*b8110 + 7*b2963*b8111 + 5*b2964*b8112 + 5*b7957*b2809 + 6.5*b7958*
      b2810 + 7.5*b7959*b2811 + 8*b7960*b2812 + 5.5*b7961*b2813 + 7*b7962*b2814
       + 7*b7963*b2815 + 5.5*b7964*b2816 + 6*b7965*b2817 + 7*b7966*b2818 + 5*
      b7967*b2819 + 7*b7968*b2820 + 8*b7969*b2821 + 7*b7970*b2822 + 6*b7971*
      b2823 + 6.5*b7972*b2824 + 7.5*b7973*b2825 + 6*b7974*b2826 + 5.5*b7975*
      b2827 + 7.5*b7976*b2828 + 6*b7977*b2829 + 5.5*b7978*b2830 + 5*b7979*b2831
       + 7*b7980*b2832 + 5.5*b7981*b2833 + 7*b7982*b2834 + 6.5*b7983*b2835 + 7*
      b7984*b2836 + 6*b7985*b2837 + 6.5*b7986*b2838 + 5.5*b7987*b2839 + 8*b7988
      *b2840 + 8*b7989*b2841 + 6.5*b7990*b2842 + 7.5*b7991*b2843 + 6.5*b7992*
      b2844 + 7.5*b7993*b2845 + 5.5*b7994*b2846 + 5.5*b7995*b2847 + 5*b7996*
      b2848 + 5.5*b7997*b2849 + 7*b7998*b2850 + 8*b7999*b2851 + 5.5*b8000*b2852
       + 7*b8001*b2853 + 8*b8002*b2854 + 7*b8003*b2855 + 8*b8004*b2856 + 6*
      b8005*b2857 + 7*b8006*b2858 + 7*b8007*b2859 + 5.5*b8008*b2860 + 8*b8009*
      b2861 + 5.5*b8010*b2862 + 6*b8011*b2863 + 6.5*b8012*b2864 + 5*b8013*b2865
       + 6*b8014*b2866 + 6.5*b8015*b2867 + 6*b8016*b2868 + 6*b8017*b2869 + 5*
      b8018*b2870 + 6*b8019*b2871 + 7*b8020*b2872 + 6*b8021*b2873 + 7.5*b8022*
      b2874 + 6.5*b8023*b2875 + 6.5*b8024*b2876 + 6*b8025*b2877 + 6.5*b8026*
      b2878 + 5*b8027*b2879 + 5.5*b8028*b2880 + 5*b8029*b2881 + 5.5*b8030*b2882
       + 5.5*b8031*b2883 + 7.5*b8032*b2884 + 5*b8033*b2885 + 7*b8034*b2886 + 
      7.5*b8035*b2887 + 5*b8036*b2888 + 6.5*b8037*b2889 + 5*b8038*b2890 + 7.5*
      b8039*b2891 + 6*b8040*b2892 + 5.5*b8041*b2893 + 7.5*b8042*b2894 + 7*b8043
      *b2895 + 7*b8044*b2896 + 7.5*b8045*b2897 + 6*b8046*b2898 + 6.5*b8047*
      b2899 + 6.5*b8048*b2900 + 8*b8049*b2901 + 8*b8050*b2902 + 6*b8051*b2903
       + 7*b8052*b2904 + 8*b8053*b2905 + 7.5*b8054*b2906 + 5.5*b8055*b2907 + 
      7.5*b8056*b2908 + 8*b8057*b2909 + 7.5*b8058*b2910 + 7*b8059*b2911 + 6*
      b8060*b2912 + 6*b8061*b2913 + 6*b8062*b2914 + 7.5*b8063*b2915 + 6.5*b8064
      *b2916 + 5*b8065*b2917 + 6*b8066*b2918 + 6.5*b8067*b2919 + 6*b8068*b2920
       + 7*b8069*b2921 + 5*b8070*b2922 + 6*b8071*b2923 + 5.5*b8072*b2924 + 6.5*
      b8073*b2925 + 7.5*b8074*b2926 + 6.5*b8075*b2927 + 7*b8076*b2928 + 8*b8077
      *b2929 + 7.5*b8078*b2930 + 8*b8079*b2931 + 6.5*b8080*b2932 + 7*b8081*
      b2933 + 6.5*b8082*b2934 + 7*b8083*b2935 + 7*b8084*b2936 + 5*b8085*b2937
       + 5*b8086*b2938 + 7*b8087*b2939 + 7*b8088*b2940 + 5.5*b8089*b2941 + 6*
      b8090*b2942 + 7*b8091*b2943 + 6.5*b8092*b2944 + 8*b8093*b2945 + 6*b8094*
      b2946 + 6.5*b8095*b2947 + 7.5*b8096*b2948 + 6.5*b8097*b2949 + 6.5*b8098*
      b2950 + 8*b8099*b2951 + 6*b8100*b2952 + 8*b8101*b2953 + 6*b8102*b2954 + 7
      *b8103*b2955 + 7.5*b8104*b2956 + 6*b8105*b2957 + 7*b8106*b2958 + 8*b8107*
      b2959 + 7*b8108*b2960 + 6.5*b8109*b2961 + 7*b8110*b2962 + 7*b8111*b2963
       + 5*b8112*b2964 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e23.. 5*b3589*b7957 + 6.5*b3590*b7958 + 7.5*b3591*b7959 + 8*b3592*b7960 + 5.5*
      b3593*b7961 + 7*b3594*b7962 + 7*b3595*b7963 + 5.5*b3596*b7964 + 6*b3597*
      b7965 + 7*b3598*b7966 + 5*b3599*b7967 + 7*b3600*b7968 + 8*b3601*b7969 + 7
      *b3602*b7970 + 6*b3603*b7971 + 6.5*b3604*b7972 + 7.5*b3605*b7973 + 6*
      b3606*b7974 + 5.5*b3607*b7975 + 7.5*b3608*b7976 + 6*b3609*b7977 + 5.5*
      b3610*b7978 + 5*b3611*b7979 + 7*b3612*b7980 + 5.5*b3613*b7981 + 7*b3614*
      b7982 + 6.5*b3615*b7983 + 7*b3616*b7984 + 6*b3617*b7985 + 6.5*b3618*b7986
       + 5.5*b3619*b7987 + 8*b3620*b7988 + 8*b3621*b7989 + 6.5*b3622*b7990 + 
      7.5*b3623*b7991 + 6.5*b3624*b7992 + 7.5*b3625*b7993 + 5.5*b3626*b7994 + 
      5.5*b3627*b7995 + 5*b3628*b7996 + 5.5*b3629*b7997 + 7*b3630*b7998 + 8*
      b3631*b7999 + 5.5*b3632*b8000 + 7*b3633*b8001 + 8*b3634*b8002 + 7*b3635*
      b8003 + 8*b3636*b8004 + 6*b3637*b8005 + 7*b3638*b8006 + 7*b3639*b8007 + 
      5.5*b3640*b8008 + 8*b3641*b8009 + 5.5*b3642*b8010 + 6*b3643*b8011 + 6.5*
      b3644*b8012 + 5*b3645*b8013 + 6*b3646*b8014 + 6.5*b3647*b8015 + 6*b3648*
      b8016 + 6*b3649*b8017 + 5*b3650*b8018 + 6*b3651*b8019 + 7*b3652*b8020 + 6
      *b3653*b8021 + 7.5*b3654*b8022 + 6.5*b3655*b8023 + 6.5*b3656*b8024 + 6*
      b3657*b8025 + 6.5*b3658*b8026 + 5*b3659*b8027 + 5.5*b3660*b8028 + 5*b3661
      *b8029 + 5.5*b3662*b8030 + 5.5*b3663*b8031 + 7.5*b3664*b8032 + 5*b3665*
      b8033 + 7*b3666*b8034 + 7.5*b3667*b8035 + 5*b3668*b8036 + 6.5*b3669*b8037
       + 5*b3670*b8038 + 7.5*b3671*b8039 + 6*b3672*b8040 + 5.5*b3673*b8041 + 
      7.5*b3674*b8042 + 7*b3675*b8043 + 7*b3676*b8044 + 7.5*b3677*b8045 + 6*
      b3678*b8046 + 6.5*b3679*b8047 + 6.5*b3680*b8048 + 8*b3681*b8049 + 8*b3682
      *b8050 + 6*b3683*b8051 + 7*b3684*b8052 + 8*b3685*b8053 + 7.5*b3686*b8054
       + 5.5*b3687*b8055 + 7.5*b3688*b8056 + 8*b3689*b8057 + 7.5*b3690*b8058 + 
      7*b3691*b8059 + 6*b3692*b8060 + 6*b3693*b8061 + 6*b3694*b8062 + 7.5*b3695
      *b8063 + 6.5*b3696*b8064 + 5*b3697*b8065 + 6*b3698*b8066 + 6.5*b3699*
      b8067 + 6*b3700*b8068 + 7*b3701*b8069 + 5*b3702*b8070 + 6*b3703*b8071 + 
      5.5*b3704*b8072 + 6.5*b3705*b8073 + 7.5*b3706*b8074 + 6.5*b3707*b8075 + 7
      *b3708*b8076 + 8*b3709*b8077 + 7.5*b3710*b8078 + 8*b3711*b8079 + 6.5*
      b3712*b8080 + 7*b3713*b8081 + 6.5*b3714*b8082 + 7*b3715*b8083 + 7*b3716*
      b8084 + 5*b3717*b8085 + 5*b3718*b8086 + 7*b3719*b8087 + 7*b3720*b8088 + 
      5.5*b3721*b8089 + 6*b3722*b8090 + 7*b3723*b8091 + 6.5*b3724*b8092 + 8*
      b3725*b8093 + 6*b3726*b8094 + 6.5*b3727*b8095 + 7.5*b3728*b8096 + 6.5*
      b3729*b8097 + 6.5*b3730*b8098 + 8*b3731*b8099 + 6*b3732*b8100 + 8*b3733*
      b8101 + 6*b3734*b8102 + 7*b3735*b8103 + 7.5*b3736*b8104 + 6*b3737*b8105
       + 7*b3738*b8106 + 8*b3739*b8107 + 7*b3740*b8108 + 6.5*b3741*b8109 + 7*
      b3742*b8110 + 7*b3743*b8111 + 5*b3744*b8112 + 5*b7957*b3589 + 6.5*b7958*
      b3590 + 7.5*b7959*b3591 + 8*b7960*b3592 + 5.5*b7961*b3593 + 7*b7962*b3594
       + 7*b7963*b3595 + 5.5*b7964*b3596 + 6*b7965*b3597 + 7*b7966*b3598 + 5*
      b7967*b3599 + 7*b7968*b3600 + 8*b7969*b3601 + 7*b7970*b3602 + 6*b7971*
      b3603 + 6.5*b7972*b3604 + 7.5*b7973*b3605 + 6*b7974*b3606 + 5.5*b7975*
      b3607 + 7.5*b7976*b3608 + 6*b7977*b3609 + 5.5*b7978*b3610 + 5*b7979*b3611
       + 7*b7980*b3612 + 5.5*b7981*b3613 + 7*b7982*b3614 + 6.5*b7983*b3615 + 7*
      b7984*b3616 + 6*b7985*b3617 + 6.5*b7986*b3618 + 5.5*b7987*b3619 + 8*b7988
      *b3620 + 8*b7989*b3621 + 6.5*b7990*b3622 + 7.5*b7991*b3623 + 6.5*b7992*
      b3624 + 7.5*b7993*b3625 + 5.5*b7994*b3626 + 5.5*b7995*b3627 + 5*b7996*
      b3628 + 5.5*b7997*b3629 + 7*b7998*b3630 + 8*b7999*b3631 + 5.5*b8000*b3632
       + 7*b8001*b3633 + 8*b8002*b3634 + 7*b8003*b3635 + 8*b8004*b3636 + 6*
      b8005*b3637 + 7*b8006*b3638 + 7*b8007*b3639 + 5.5*b8008*b3640 + 8*b8009*
      b3641 + 5.5*b8010*b3642 + 6*b8011*b3643 + 6.5*b8012*b3644 + 5*b8013*b3645
       + 6*b8014*b3646 + 6.5*b8015*b3647 + 6*b8016*b3648 + 6*b8017*b3649 + 5*
      b8018*b3650 + 6*b8019*b3651 + 7*b8020*b3652 + 6*b8021*b3653 + 7.5*b8022*
      b3654 + 6.5*b8023*b3655 + 6.5*b8024*b3656 + 6*b8025*b3657 + 6.5*b8026*
      b3658 + 5*b8027*b3659 + 5.5*b8028*b3660 + 5*b8029*b3661 + 5.5*b8030*b3662
       + 5.5*b8031*b3663 + 7.5*b8032*b3664 + 5*b8033*b3665 + 7*b8034*b3666 + 
      7.5*b8035*b3667 + 5*b8036*b3668 + 6.5*b8037*b3669 + 5*b8038*b3670 + 7.5*
      b8039*b3671 + 6*b8040*b3672 + 5.5*b8041*b3673 + 7.5*b8042*b3674 + 7*b8043
      *b3675 + 7*b8044*b3676 + 7.5*b8045*b3677 + 6*b8046*b3678 + 6.5*b8047*
      b3679 + 6.5*b8048*b3680 + 8*b8049*b3681 + 8*b8050*b3682 + 6*b8051*b3683
       + 7*b8052*b3684 + 8*b8053*b3685 + 7.5*b8054*b3686 + 5.5*b8055*b3687 + 
      7.5*b8056*b3688 + 8*b8057*b3689 + 7.5*b8058*b3690 + 7*b8059*b3691 + 6*
      b8060*b3692 + 6*b8061*b3693 + 6*b8062*b3694 + 7.5*b8063*b3695 + 6.5*b8064
      *b3696 + 5*b8065*b3697 + 6*b8066*b3698 + 6.5*b8067*b3699 + 6*b8068*b3700
       + 7*b8069*b3701 + 5*b8070*b3702 + 6*b8071*b3703 + 5.5*b8072*b3704 + 6.5*
      b8073*b3705 + 7.5*b8074*b3706 + 6.5*b8075*b3707 + 7*b8076*b3708 + 8*b8077
      *b3709 + 7.5*b8078*b3710 + 8*b8079*b3711 + 6.5*b8080*b3712 + 7*b8081*
      b3713 + 6.5*b8082*b3714 + 7*b8083*b3715 + 7*b8084*b3716 + 5*b8085*b3717
       + 5*b8086*b3718 + 7*b8087*b3719 + 7*b8088*b3720 + 5.5*b8089*b3721 + 6*
      b8090*b3722 + 7*b8091*b3723 + 6.5*b8092*b3724 + 8*b8093*b3725 + 6*b8094*
      b3726 + 6.5*b8095*b3727 + 7.5*b8096*b3728 + 6.5*b8097*b3729 + 6.5*b8098*
      b3730 + 8*b8099*b3731 + 6*b8100*b3732 + 8*b8101*b3733 + 6*b8102*b3734 + 7
      *b8103*b3735 + 7.5*b8104*b3736 + 6*b8105*b3737 + 7*b8106*b3738 + 8*b8107*
      b3739 + 7*b8108*b3740 + 6.5*b8109*b3741 + 7*b8110*b3742 + 7*b8111*b3743
       + 5*b8112*b3744 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e24.. 5*b4213*b7957 + 6.5*b4214*b7958 + 7.5*b4215*b7959 + 8*b4216*b7960 + 5.5*
      b4217*b7961 + 7*b4218*b7962 + 7*b4219*b7963 + 5.5*b4220*b7964 + 6*b4221*
      b7965 + 7*b4222*b7966 + 5*b4223*b7967 + 7*b4224*b7968 + 8*b4225*b7969 + 7
      *b4226*b7970 + 6*b4227*b7971 + 6.5*b4228*b7972 + 7.5*b4229*b7973 + 6*
      b4230*b7974 + 5.5*b4231*b7975 + 7.5*b4232*b7976 + 6*b4233*b7977 + 5.5*
      b4234*b7978 + 5*b4235*b7979 + 7*b4236*b7980 + 5.5*b4237*b7981 + 7*b4238*
      b7982 + 6.5*b4239*b7983 + 7*b4240*b7984 + 6*b4241*b7985 + 6.5*b4242*b7986
       + 5.5*b4243*b7987 + 8*b4244*b7988 + 8*b4245*b7989 + 6.5*b4246*b7990 + 
      7.5*b4247*b7991 + 6.5*b4248*b7992 + 7.5*b4249*b7993 + 5.5*b4250*b7994 + 
      5.5*b4251*b7995 + 5*b4252*b7996 + 5.5*b4253*b7997 + 7*b4254*b7998 + 8*
      b4255*b7999 + 5.5*b4256*b8000 + 7*b4257*b8001 + 8*b4258*b8002 + 7*b4259*
      b8003 + 8*b4260*b8004 + 6*b4261*b8005 + 7*b4262*b8006 + 7*b4263*b8007 + 
      5.5*b4264*b8008 + 8*b4265*b8009 + 5.5*b4266*b8010 + 6*b4267*b8011 + 6.5*
      b4268*b8012 + 5*b4269*b8013 + 6*b4270*b8014 + 6.5*b4271*b8015 + 6*b4272*
      b8016 + 6*b4273*b8017 + 5*b4274*b8018 + 6*b4275*b8019 + 7*b4276*b8020 + 6
      *b4277*b8021 + 7.5*b4278*b8022 + 6.5*b4279*b8023 + 6.5*b4280*b8024 + 6*
      b4281*b8025 + 6.5*b4282*b8026 + 5*b4283*b8027 + 5.5*b4284*b8028 + 5*b4285
      *b8029 + 5.5*b4286*b8030 + 5.5*b4287*b8031 + 7.5*b4288*b8032 + 5*b4289*
      b8033 + 7*b4290*b8034 + 7.5*b4291*b8035 + 5*b4292*b8036 + 6.5*b4293*b8037
       + 5*b4294*b8038 + 7.5*b4295*b8039 + 6*b4296*b8040 + 5.5*b4297*b8041 + 
      7.5*b4298*b8042 + 7*b4299*b8043 + 7*b4300*b8044 + 7.5*b4301*b8045 + 6*
      b4302*b8046 + 6.5*b4303*b8047 + 6.5*b4304*b8048 + 8*b4305*b8049 + 8*b4306
      *b8050 + 6*b4307*b8051 + 7*b4308*b8052 + 8*b4309*b8053 + 7.5*b4310*b8054
       + 5.5*b4311*b8055 + 7.5*b4312*b8056 + 8*b4313*b8057 + 7.5*b4314*b8058 + 
      7*b4315*b8059 + 6*b4316*b8060 + 6*b4317*b8061 + 6*b4318*b8062 + 7.5*b4319
      *b8063 + 6.5*b4320*b8064 + 5*b4321*b8065 + 6*b4322*b8066 + 6.5*b4323*
      b8067 + 6*b4324*b8068 + 7*b4325*b8069 + 5*b4326*b8070 + 6*b4327*b8071 + 
      5.5*b4328*b8072 + 6.5*b4329*b8073 + 7.5*b4330*b8074 + 6.5*b4331*b8075 + 7
      *b4332*b8076 + 8*b4333*b8077 + 7.5*b4334*b8078 + 8*b4335*b8079 + 6.5*
      b4336*b8080 + 7*b4337*b8081 + 6.5*b4338*b8082 + 7*b4339*b8083 + 7*b4340*
      b8084 + 5*b4341*b8085 + 5*b4342*b8086 + 7*b4343*b8087 + 7*b4344*b8088 + 
      5.5*b4345*b8089 + 6*b4346*b8090 + 7*b4347*b8091 + 6.5*b4348*b8092 + 8*
      b4349*b8093 + 6*b4350*b8094 + 6.5*b4351*b8095 + 7.5*b4352*b8096 + 6.5*
      b4353*b8097 + 6.5*b4354*b8098 + 8*b4355*b8099 + 6*b4356*b8100 + 8*b4357*
      b8101 + 6*b4358*b8102 + 7*b4359*b8103 + 7.5*b4360*b8104 + 6*b4361*b8105
       + 7*b4362*b8106 + 8*b4363*b8107 + 7*b4364*b8108 + 6.5*b4365*b8109 + 7*
      b4366*b8110 + 7*b4367*b8111 + 5*b4368*b8112 + 5*b7957*b4213 + 6.5*b7958*
      b4214 + 7.5*b7959*b4215 + 8*b7960*b4216 + 5.5*b7961*b4217 + 7*b7962*b4218
       + 7*b7963*b4219 + 5.5*b7964*b4220 + 6*b7965*b4221 + 7*b7966*b4222 + 5*
      b7967*b4223 + 7*b7968*b4224 + 8*b7969*b4225 + 7*b7970*b4226 + 6*b7971*
      b4227 + 6.5*b7972*b4228 + 7.5*b7973*b4229 + 6*b7974*b4230 + 5.5*b7975*
      b4231 + 7.5*b7976*b4232 + 6*b7977*b4233 + 5.5*b7978*b4234 + 5*b7979*b4235
       + 7*b7980*b4236 + 5.5*b7981*b4237 + 7*b7982*b4238 + 6.5*b7983*b4239 + 7*
      b7984*b4240 + 6*b7985*b4241 + 6.5*b7986*b4242 + 5.5*b7987*b4243 + 8*b7988
      *b4244 + 8*b7989*b4245 + 6.5*b7990*b4246 + 7.5*b7991*b4247 + 6.5*b7992*
      b4248 + 7.5*b7993*b4249 + 5.5*b7994*b4250 + 5.5*b7995*b4251 + 5*b7996*
      b4252 + 5.5*b7997*b4253 + 7*b7998*b4254 + 8*b7999*b4255 + 5.5*b8000*b4256
       + 7*b8001*b4257 + 8*b8002*b4258 + 7*b8003*b4259 + 8*b8004*b4260 + 6*
      b8005*b4261 + 7*b8006*b4262 + 7*b8007*b4263 + 5.5*b8008*b4264 + 8*b8009*
      b4265 + 5.5*b8010*b4266 + 6*b8011*b4267 + 6.5*b8012*b4268 + 5*b8013*b4269
       + 6*b8014*b4270 + 6.5*b8015*b4271 + 6*b8016*b4272 + 6*b8017*b4273 + 5*
      b8018*b4274 + 6*b8019*b4275 + 7*b8020*b4276 + 6*b8021*b4277 + 7.5*b8022*
      b4278 + 6.5*b8023*b4279 + 6.5*b8024*b4280 + 6*b8025*b4281 + 6.5*b8026*
      b4282 + 5*b8027*b4283 + 5.5*b8028*b4284 + 5*b8029*b4285 + 5.5*b8030*b4286
       + 5.5*b8031*b4287 + 7.5*b8032*b4288 + 5*b8033*b4289 + 7*b8034*b4290 + 
      7.5*b8035*b4291 + 5*b8036*b4292 + 6.5*b8037*b4293 + 5*b8038*b4294 + 7.5*
      b8039*b4295 + 6*b8040*b4296 + 5.5*b8041*b4297 + 7.5*b8042*b4298 + 7*b8043
      *b4299 + 7*b8044*b4300 + 7.5*b8045*b4301 + 6*b8046*b4302 + 6.5*b8047*
      b4303 + 6.5*b8048*b4304 + 8*b8049*b4305 + 8*b8050*b4306 + 6*b8051*b4307
       + 7*b8052*b4308 + 8*b8053*b4309 + 7.5*b8054*b4310 + 5.5*b8055*b4311 + 
      7.5*b8056*b4312 + 8*b8057*b4313 + 7.5*b8058*b4314 + 7*b8059*b4315 + 6*
      b8060*b4316 + 6*b8061*b4317 + 6*b8062*b4318 + 7.5*b8063*b4319 + 6.5*b8064
      *b4320 + 5*b8065*b4321 + 6*b8066*b4322 + 6.5*b8067*b4323 + 6*b8068*b4324
       + 7*b8069*b4325 + 5*b8070*b4326 + 6*b8071*b4327 + 5.5*b8072*b4328 + 6.5*
      b8073*b4329 + 7.5*b8074*b4330 + 6.5*b8075*b4331 + 7*b8076*b4332 + 8*b8077
      *b4333 + 7.5*b8078*b4334 + 8*b8079*b4335 + 6.5*b8080*b4336 + 7*b8081*
      b4337 + 6.5*b8082*b4338 + 7*b8083*b4339 + 7*b8084*b4340 + 5*b8085*b4341
       + 5*b8086*b4342 + 7*b8087*b4343 + 7*b8088*b4344 + 5.5*b8089*b4345 + 6*
      b8090*b4346 + 7*b8091*b4347 + 6.5*b8092*b4348 + 8*b8093*b4349 + 6*b8094*
      b4350 + 6.5*b8095*b4351 + 7.5*b8096*b4352 + 6.5*b8097*b4353 + 6.5*b8098*
      b4354 + 8*b8099*b4355 + 6*b8100*b4356 + 8*b8101*b4357 + 6*b8102*b4358 + 7
      *b8103*b4359 + 7.5*b8104*b4360 + 6*b8105*b4361 + 7*b8106*b4362 + 8*b8107*
      b4363 + 7*b8108*b4364 + 6.5*b8109*b4365 + 7*b8110*b4366 + 7*b8111*b4367
       + 5*b8112*b4368 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e25.. 5*b6085*b7957 + 6.5*b6086*b7958 + 7.5*b6087*b7959 + 8*b6088*b7960 + 5.5*
      b6089*b7961 + 7*b6090*b7962 + 7*b6091*b7963 + 5.5*b6092*b7964 + 6*b6093*
      b7965 + 7*b6094*b7966 + 5*b6095*b7967 + 7*b6096*b7968 + 8*b6097*b7969 + 7
      *b6098*b7970 + 6*b6099*b7971 + 6.5*b6100*b7972 + 7.5*b6101*b7973 + 6*
      b6102*b7974 + 5.5*b6103*b7975 + 7.5*b6104*b7976 + 6*b6105*b7977 + 5.5*
      b6106*b7978 + 5*b6107*b7979 + 7*b6108*b7980 + 5.5*b6109*b7981 + 7*b6110*
      b7982 + 6.5*b6111*b7983 + 7*b6112*b7984 + 6*b6113*b7985 + 6.5*b6114*b7986
       + 5.5*b6115*b7987 + 8*b6116*b7988 + 8*b6117*b7989 + 6.5*b6118*b7990 + 
      7.5*b6119*b7991 + 6.5*b6120*b7992 + 7.5*b6121*b7993 + 5.5*b6122*b7994 + 
      5.5*b6123*b7995 + 5*b6124*b7996 + 5.5*b6125*b7997 + 7*b6126*b7998 + 8*
      b6127*b7999 + 5.5*b6128*b8000 + 7*b6129*b8001 + 8*b6130*b8002 + 7*b6131*
      b8003 + 8*b6132*b8004 + 6*b6133*b8005 + 7*b6134*b8006 + 7*b6135*b8007 + 
      5.5*b6136*b8008 + 8*b6137*b8009 + 5.5*b6138*b8010 + 6*b6139*b8011 + 6.5*
      b6140*b8012 + 5*b6141*b8013 + 6*b6142*b8014 + 6.5*b6143*b8015 + 6*b6144*
      b8016 + 6*b6145*b8017 + 5*b6146*b8018 + 6*b6147*b8019 + 7*b6148*b8020 + 6
      *b6149*b8021 + 7.5*b6150*b8022 + 6.5*b6151*b8023 + 6.5*b6152*b8024 + 6*
      b6153*b8025 + 6.5*b6154*b8026 + 5*b6155*b8027 + 5.5*b6156*b8028 + 5*b6157
      *b8029 + 5.5*b6158*b8030 + 5.5*b6159*b8031 + 7.5*b6160*b8032 + 5*b6161*
      b8033 + 7*b6162*b8034 + 7.5*b6163*b8035 + 5*b6164*b8036 + 6.5*b6165*b8037
       + 5*b6166*b8038 + 7.5*b6167*b8039 + 6*b6168*b8040 + 5.5*b6169*b8041 + 
      7.5*b6170*b8042 + 7*b6171*b8043 + 7*b6172*b8044 + 7.5*b6173*b8045 + 6*
      b6174*b8046 + 6.5*b6175*b8047 + 6.5*b6176*b8048 + 8*b6177*b8049 + 8*b6178
      *b8050 + 6*b6179*b8051 + 7*b6180*b8052 + 8*b6181*b8053 + 7.5*b6182*b8054
       + 5.5*b6183*b8055 + 7.5*b6184*b8056 + 8*b6185*b8057 + 7.5*b6186*b8058 + 
      7*b6187*b8059 + 6*b6188*b8060 + 6*b6189*b8061 + 6*b6190*b8062 + 7.5*b6191
      *b8063 + 6.5*b6192*b8064 + 5*b6193*b8065 + 6*b6194*b8066 + 6.5*b6195*
      b8067 + 6*b6196*b8068 + 7*b6197*b8069 + 5*b6198*b8070 + 6*b6199*b8071 + 
      5.5*b6200*b8072 + 6.5*b6201*b8073 + 7.5*b6202*b8074 + 6.5*b6203*b8075 + 7
      *b6204*b8076 + 8*b6205*b8077 + 7.5*b6206*b8078 + 8*b6207*b8079 + 6.5*
      b6208*b8080 + 7*b6209*b8081 + 6.5*b6210*b8082 + 7*b6211*b8083 + 7*b6212*
      b8084 + 5*b6213*b8085 + 5*b6214*b8086 + 7*b6215*b8087 + 7*b6216*b8088 + 
      5.5*b6217*b8089 + 6*b6218*b8090 + 7*b6219*b8091 + 6.5*b6220*b8092 + 8*
      b6221*b8093 + 6*b6222*b8094 + 6.5*b6223*b8095 + 7.5*b6224*b8096 + 6.5*
      b6225*b8097 + 6.5*b6226*b8098 + 8*b6227*b8099 + 6*b6228*b8100 + 8*b6229*
      b8101 + 6*b6230*b8102 + 7*b6231*b8103 + 7.5*b6232*b8104 + 6*b6233*b8105
       + 7*b6234*b8106 + 8*b6235*b8107 + 7*b6236*b8108 + 6.5*b6237*b8109 + 7*
      b6238*b8110 + 7*b6239*b8111 + 5*b6240*b8112 + 5*b7957*b6085 + 6.5*b7958*
      b6086 + 7.5*b7959*b6087 + 8*b7960*b6088 + 5.5*b7961*b6089 + 7*b7962*b6090
       + 7*b7963*b6091 + 5.5*b7964*b6092 + 6*b7965*b6093 + 7*b7966*b6094 + 5*
      b7967*b6095 + 7*b7968*b6096 + 8*b7969*b6097 + 7*b7970*b6098 + 6*b7971*
      b6099 + 6.5*b7972*b6100 + 7.5*b7973*b6101 + 6*b7974*b6102 + 5.5*b7975*
      b6103 + 7.5*b7976*b6104 + 6*b7977*b6105 + 5.5*b7978*b6106 + 5*b7979*b6107
       + 7*b7980*b6108 + 5.5*b7981*b6109 + 7*b7982*b6110 + 6.5*b7983*b6111 + 7*
      b7984*b6112 + 6*b7985*b6113 + 6.5*b7986*b6114 + 5.5*b7987*b6115 + 8*b7988
      *b6116 + 8*b7989*b6117 + 6.5*b7990*b6118 + 7.5*b7991*b6119 + 6.5*b7992*
      b6120 + 7.5*b7993*b6121 + 5.5*b7994*b6122 + 5.5*b7995*b6123 + 5*b7996*
      b6124 + 5.5*b7997*b6125 + 7*b7998*b6126 + 8*b7999*b6127 + 5.5*b8000*b6128
       + 7*b8001*b6129 + 8*b8002*b6130 + 7*b8003*b6131 + 8*b8004*b6132 + 6*
      b8005*b6133 + 7*b8006*b6134 + 7*b8007*b6135 + 5.5*b8008*b6136 + 8*b8009*
      b6137 + 5.5*b8010*b6138 + 6*b8011*b6139 + 6.5*b8012*b6140 + 5*b8013*b6141
       + 6*b8014*b6142 + 6.5*b8015*b6143 + 6*b8016*b6144 + 6*b8017*b6145 + 5*
      b8018*b6146 + 6*b8019*b6147 + 7*b8020*b6148 + 6*b8021*b6149 + 7.5*b8022*
      b6150 + 6.5*b8023*b6151 + 6.5*b8024*b6152 + 6*b8025*b6153 + 6.5*b8026*
      b6154 + 5*b8027*b6155 + 5.5*b8028*b6156 + 5*b8029*b6157 + 5.5*b8030*b6158
       + 5.5*b8031*b6159 + 7.5*b8032*b6160 + 5*b8033*b6161 + 7*b8034*b6162 + 
      7.5*b8035*b6163 + 5*b8036*b6164 + 6.5*b8037*b6165 + 5*b8038*b6166 + 7.5*
      b8039*b6167 + 6*b8040*b6168 + 5.5*b8041*b6169 + 7.5*b8042*b6170 + 7*b8043
      *b6171 + 7*b8044*b6172 + 7.5*b8045*b6173 + 6*b8046*b6174 + 6.5*b8047*
      b6175 + 6.5*b8048*b6176 + 8*b8049*b6177 + 8*b8050*b6178 + 6*b8051*b6179
       + 7*b8052*b6180 + 8*b8053*b6181 + 7.5*b8054*b6182 + 5.5*b8055*b6183 + 
      7.5*b8056*b6184 + 8*b8057*b6185 + 7.5*b8058*b6186 + 7*b8059*b6187 + 6*
      b8060*b6188 + 6*b8061*b6189 + 6*b8062*b6190 + 7.5*b8063*b6191 + 6.5*b8064
      *b6192 + 5*b8065*b6193 + 6*b8066*b6194 + 6.5*b8067*b6195 + 6*b8068*b6196
       + 7*b8069*b6197 + 5*b8070*b6198 + 6*b8071*b6199 + 5.5*b8072*b6200 + 6.5*
      b8073*b6201 + 7.5*b8074*b6202 + 6.5*b8075*b6203 + 7*b8076*b6204 + 8*b8077
      *b6205 + 7.5*b8078*b6206 + 8*b8079*b6207 + 6.5*b8080*b6208 + 7*b8081*
      b6209 + 6.5*b8082*b6210 + 7*b8083*b6211 + 7*b8084*b6212 + 5*b8085*b6213
       + 5*b8086*b6214 + 7*b8087*b6215 + 7*b8088*b6216 + 5.5*b8089*b6217 + 6*
      b8090*b6218 + 7*b8091*b6219 + 6.5*b8092*b6220 + 8*b8093*b6221 + 6*b8094*
      b6222 + 6.5*b8095*b6223 + 7.5*b8096*b6224 + 6.5*b8097*b6225 + 6.5*b8098*
      b6226 + 8*b8099*b6227 + 6*b8100*b6228 + 8*b8101*b6229 + 6*b8102*b6230 + 7
      *b8103*b6231 + 7.5*b8104*b6232 + 6*b8105*b6233 + 7*b8106*b6234 + 8*b8107*
      b6235 + 7*b8108*b6236 + 6.5*b8109*b6237 + 7*b8110*b6238 + 7*b8111*b6239
       + 5*b8112*b6240 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e26.. 5*b7333*b7957 + 6.5*b7334*b7958 + 7.5*b7335*b7959 + 8*b7336*b7960 + 5.5*
      b7337*b7961 + 7*b7338*b7962 + 7*b7339*b7963 + 5.5*b7340*b7964 + 6*b7341*
      b7965 + 7*b7342*b7966 + 5*b7343*b7967 + 7*b7344*b7968 + 8*b7345*b7969 + 7
      *b7346*b7970 + 6*b7347*b7971 + 6.5*b7348*b7972 + 7.5*b7349*b7973 + 6*
      b7350*b7974 + 5.5*b7351*b7975 + 7.5*b7352*b7976 + 6*b7353*b7977 + 5.5*
      b7354*b7978 + 5*b7355*b7979 + 7*b7356*b7980 + 5.5*b7357*b7981 + 7*b7358*
      b7982 + 6.5*b7359*b7983 + 7*b7360*b7984 + 6*b7361*b7985 + 6.5*b7362*b7986
       + 5.5*b7363*b7987 + 8*b7364*b7988 + 8*b7365*b7989 + 6.5*b7366*b7990 + 
      7.5*b7367*b7991 + 6.5*b7368*b7992 + 7.5*b7369*b7993 + 5.5*b7370*b7994 + 
      5.5*b7371*b7995 + 5*b7372*b7996 + 5.5*b7373*b7997 + 7*b7374*b7998 + 8*
      b7375*b7999 + 5.5*b7376*b8000 + 7*b7377*b8001 + 8*b7378*b8002 + 7*b7379*
      b8003 + 8*b7380*b8004 + 6*b7381*b8005 + 7*b7382*b8006 + 7*b7383*b8007 + 
      5.5*b7384*b8008 + 8*b7385*b8009 + 5.5*b7386*b8010 + 6*b7387*b8011 + 6.5*
      b7388*b8012 + 5*b7389*b8013 + 6*b7390*b8014 + 6.5*b7391*b8015 + 6*b7392*
      b8016 + 6*b7393*b8017 + 5*b7394*b8018 + 6*b7395*b8019 + 7*b7396*b8020 + 6
      *b7397*b8021 + 7.5*b7398*b8022 + 6.5*b7399*b8023 + 6.5*b7400*b8024 + 6*
      b7401*b8025 + 6.5*b7402*b8026 + 5*b7403*b8027 + 5.5*b7404*b8028 + 5*b7405
      *b8029 + 5.5*b7406*b8030 + 5.5*b7407*b8031 + 7.5*b7408*b8032 + 5*b7409*
      b8033 + 7*b7410*b8034 + 7.5*b7411*b8035 + 5*b7412*b8036 + 6.5*b7413*b8037
       + 5*b7414*b8038 + 7.5*b7415*b8039 + 6*b7416*b8040 + 5.5*b7417*b8041 + 
      7.5*b7418*b8042 + 7*b7419*b8043 + 7*b7420*b8044 + 7.5*b7421*b8045 + 6*
      b7422*b8046 + 6.5*b7423*b8047 + 6.5*b7424*b8048 + 8*b7425*b8049 + 8*b7426
      *b8050 + 6*b7427*b8051 + 7*b7428*b8052 + 8*b7429*b8053 + 7.5*b7430*b8054
       + 5.5*b7431*b8055 + 7.5*b7432*b8056 + 8*b7433*b8057 + 7.5*b7434*b8058 + 
      7*b7435*b8059 + 6*b7436*b8060 + 6*b7437*b8061 + 6*b7438*b8062 + 7.5*b7439
      *b8063 + 6.5*b7440*b8064 + 5*b7441*b8065 + 6*b7442*b8066 + 6.5*b7443*
      b8067 + 6*b7444*b8068 + 7*b7445*b8069 + 5*b7446*b8070 + 6*b7447*b8071 + 
      5.5*b7448*b8072 + 6.5*b7449*b8073 + 7.5*b7450*b8074 + 6.5*b7451*b8075 + 7
      *b7452*b8076 + 8*b7453*b8077 + 7.5*b7454*b8078 + 8*b7455*b8079 + 6.5*
      b7456*b8080 + 7*b7457*b8081 + 6.5*b7458*b8082 + 7*b7459*b8083 + 7*b7460*
      b8084 + 5*b7461*b8085 + 5*b7462*b8086 + 7*b7463*b8087 + 7*b7464*b8088 + 
      5.5*b7465*b8089 + 6*b7466*b8090 + 7*b7467*b8091 + 6.5*b7468*b8092 + 8*
      b7469*b8093 + 6*b7470*b8094 + 6.5*b7471*b8095 + 7.5*b7472*b8096 + 6.5*
      b7473*b8097 + 6.5*b7474*b8098 + 8*b7475*b8099 + 6*b7476*b8100 + 8*b7477*
      b8101 + 6*b7478*b8102 + 7*b7479*b8103 + 7.5*b7480*b8104 + 6*b7481*b8105
       + 7*b7482*b8106 + 8*b7483*b8107 + 7*b7484*b8108 + 6.5*b7485*b8109 + 7*
      b7486*b8110 + 7*b7487*b8111 + 5*b7488*b8112 + 5*b7957*b7333 + 6.5*b7958*
      b7334 + 7.5*b7959*b7335 + 8*b7960*b7336 + 5.5*b7961*b7337 + 7*b7962*b7338
       + 7*b7963*b7339 + 5.5*b7964*b7340 + 6*b7965*b7341 + 7*b7966*b7342 + 5*
      b7967*b7343 + 7*b7968*b7344 + 8*b7969*b7345 + 7*b7970*b7346 + 6*b7971*
      b7347 + 6.5*b7972*b7348 + 7.5*b7973*b7349 + 6*b7974*b7350 + 5.5*b7975*
      b7351 + 7.5*b7976*b7352 + 6*b7977*b7353 + 5.5*b7978*b7354 + 5*b7979*b7355
       + 7*b7980*b7356 + 5.5*b7981*b7357 + 7*b7982*b7358 + 6.5*b7983*b7359 + 7*
      b7984*b7360 + 6*b7985*b7361 + 6.5*b7986*b7362 + 5.5*b7987*b7363 + 8*b7988
      *b7364 + 8*b7989*b7365 + 6.5*b7990*b7366 + 7.5*b7991*b7367 + 6.5*b7992*
      b7368 + 7.5*b7993*b7369 + 5.5*b7994*b7370 + 5.5*b7995*b7371 + 5*b7996*
      b7372 + 5.5*b7997*b7373 + 7*b7998*b7374 + 8*b7999*b7375 + 5.5*b8000*b7376
       + 7*b8001*b7377 + 8*b8002*b7378 + 7*b8003*b7379 + 8*b8004*b7380 + 6*
      b8005*b7381 + 7*b8006*b7382 + 7*b8007*b7383 + 5.5*b8008*b7384 + 8*b8009*
      b7385 + 5.5*b8010*b7386 + 6*b8011*b7387 + 6.5*b8012*b7388 + 5*b8013*b7389
       + 6*b8014*b7390 + 6.5*b8015*b7391 + 6*b8016*b7392 + 6*b8017*b7393 + 5*
      b8018*b7394 + 6*b8019*b7395 + 7*b8020*b7396 + 6*b8021*b7397 + 7.5*b8022*
      b7398 + 6.5*b8023*b7399 + 6.5*b8024*b7400 + 6*b8025*b7401 + 6.5*b8026*
      b7402 + 5*b8027*b7403 + 5.5*b8028*b7404 + 5*b8029*b7405 + 5.5*b8030*b7406
       + 5.5*b8031*b7407 + 7.5*b8032*b7408 + 5*b8033*b7409 + 7*b8034*b7410 + 
      7.5*b8035*b7411 + 5*b8036*b7412 + 6.5*b8037*b7413 + 5*b8038*b7414 + 7.5*
      b8039*b7415 + 6*b8040*b7416 + 5.5*b8041*b7417 + 7.5*b8042*b7418 + 7*b8043
      *b7419 + 7*b8044*b7420 + 7.5*b8045*b7421 + 6*b8046*b7422 + 6.5*b8047*
      b7423 + 6.5*b8048*b7424 + 8*b8049*b7425 + 8*b8050*b7426 + 6*b8051*b7427
       + 7*b8052*b7428 + 8*b8053*b7429 + 7.5*b8054*b7430 + 5.5*b8055*b7431 + 
      7.5*b8056*b7432 + 8*b8057*b7433 + 7.5*b8058*b7434 + 7*b8059*b7435 + 6*
      b8060*b7436 + 6*b8061*b7437 + 6*b8062*b7438 + 7.5*b8063*b7439 + 6.5*b8064
      *b7440 + 5*b8065*b7441 + 6*b8066*b7442 + 6.5*b8067*b7443 + 6*b8068*b7444
       + 7*b8069*b7445 + 5*b8070*b7446 + 6*b8071*b7447 + 5.5*b8072*b7448 + 6.5*
      b8073*b7449 + 7.5*b8074*b7450 + 6.5*b8075*b7451 + 7*b8076*b7452 + 8*b8077
      *b7453 + 7.5*b8078*b7454 + 8*b8079*b7455 + 6.5*b8080*b7456 + 7*b8081*
      b7457 + 6.5*b8082*b7458 + 7*b8083*b7459 + 7*b8084*b7460 + 5*b8085*b7461
       + 5*b8086*b7462 + 7*b8087*b7463 + 7*b8088*b7464 + 5.5*b8089*b7465 + 6*
      b8090*b7466 + 7*b8091*b7467 + 6.5*b8092*b7468 + 8*b8093*b7469 + 6*b8094*
      b7470 + 6.5*b8095*b7471 + 7.5*b8096*b7472 + 6.5*b8097*b7473 + 6.5*b8098*
      b7474 + 8*b8099*b7475 + 6*b8100*b7476 + 8*b8101*b7477 + 6*b8102*b7478 + 7
      *b8103*b7479 + 7.5*b8104*b7480 + 6*b8105*b7481 + 7*b8106*b7482 + 8*b8107*
      b7483 + 7*b8108*b7484 + 6.5*b8109*b7485 + 7*b8110*b7486 + 7*b8111*b7487
       + 5*b8112*b7488 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e27.. 5*b313*b7957 + 6.5*b314*b7958 + 7.5*b315*b7959 + 8*b316*b7960 + 5.5*b317*
      b7961 + 7*b318*b7962 + 7*b319*b7963 + 5.5*b320*b7964 + 6*b321*b7965 + 7*
      b322*b7966 + 5*b323*b7967 + 7*b324*b7968 + 8*b325*b7969 + 7*b326*b7970 + 
      6*b327*b7971 + 6.5*b328*b7972 + 7.5*b329*b7973 + 6*b330*b7974 + 5.5*b331*
      b7975 + 7.5*b332*b7976 + 6*b333*b7977 + 5.5*b334*b7978 + 5*b335*b7979 + 7
      *b336*b7980 + 5.5*b337*b7981 + 7*b338*b7982 + 6.5*b339*b7983 + 7*b340*
      b7984 + 6*b341*b7985 + 6.5*b342*b7986 + 5.5*b343*b7987 + 8*b344*b7988 + 8
      *b345*b7989 + 6.5*b346*b7990 + 7.5*b347*b7991 + 6.5*b348*b7992 + 7.5*b349
      *b7993 + 5.5*b350*b7994 + 5.5*b351*b7995 + 5*b352*b7996 + 5.5*b353*b7997
       + 7*b354*b7998 + 8*b355*b7999 + 5.5*b356*b8000 + 7*b357*b8001 + 8*b358*
      b8002 + 7*b359*b8003 + 8*b360*b8004 + 6*b361*b8005 + 7*b362*b8006 + 7*
      b363*b8007 + 5.5*b364*b8008 + 8*b365*b8009 + 5.5*b366*b8010 + 6*b367*
      b8011 + 6.5*b368*b8012 + 5*b369*b8013 + 6*b370*b8014 + 6.5*b371*b8015 + 6
      *b372*b8016 + 6*b373*b8017 + 5*b374*b8018 + 6*b375*b8019 + 7*b376*b8020
       + 6*b377*b8021 + 7.5*b378*b8022 + 6.5*b379*b8023 + 6.5*b380*b8024 + 6*
      b381*b8025 + 6.5*b382*b8026 + 5*b383*b8027 + 5.5*b384*b8028 + 5*b385*
      b8029 + 5.5*b386*b8030 + 5.5*b387*b8031 + 7.5*b388*b8032 + 5*b389*b8033
       + 7*b390*b8034 + 7.5*b391*b8035 + 5*b392*b8036 + 6.5*b393*b8037 + 5*b394
      *b8038 + 7.5*b395*b8039 + 6*b396*b8040 + 5.5*b397*b8041 + 7.5*b398*b8042
       + 7*b399*b8043 + 7*b400*b8044 + 7.5*b401*b8045 + 6*b402*b8046 + 6.5*b403
      *b8047 + 6.5*b404*b8048 + 8*b405*b8049 + 8*b406*b8050 + 6*b407*b8051 + 7*
      b408*b8052 + 8*b409*b8053 + 7.5*b410*b8054 + 5.5*b411*b8055 + 7.5*b412*
      b8056 + 8*b413*b8057 + 7.5*b414*b8058 + 7*b415*b8059 + 6*b416*b8060 + 6*
      b417*b8061 + 6*b418*b8062 + 7.5*b419*b8063 + 6.5*b420*b8064 + 5*b421*
      b8065 + 6*b422*b8066 + 6.5*b423*b8067 + 6*b424*b8068 + 7*b425*b8069 + 5*
      b426*b8070 + 6*b427*b8071 + 5.5*b428*b8072 + 6.5*b429*b8073 + 7.5*b430*
      b8074 + 6.5*b431*b8075 + 7*b432*b8076 + 8*b433*b8077 + 7.5*b434*b8078 + 8
      *b435*b8079 + 6.5*b436*b8080 + 7*b437*b8081 + 6.5*b438*b8082 + 7*b439*
      b8083 + 7*b440*b8084 + 5*b441*b8085 + 5*b442*b8086 + 7*b443*b8087 + 7*
      b444*b8088 + 5.5*b445*b8089 + 6*b446*b8090 + 7*b447*b8091 + 6.5*b448*
      b8092 + 8*b449*b8093 + 6*b450*b8094 + 6.5*b451*b8095 + 7.5*b452*b8096 + 
      6.5*b453*b8097 + 6.5*b454*b8098 + 8*b455*b8099 + 6*b456*b8100 + 8*b457*
      b8101 + 6*b458*b8102 + 7*b459*b8103 + 7.5*b460*b8104 + 6*b461*b8105 + 7*
      b462*b8106 + 8*b463*b8107 + 7*b464*b8108 + 6.5*b465*b8109 + 7*b466*b8110
       + 7*b467*b8111 + 5*b468*b8112 + 5*b7957*b313 + 6.5*b7958*b314 + 7.5*
      b7959*b315 + 8*b7960*b316 + 5.5*b7961*b317 + 7*b7962*b318 + 7*b7963*b319
       + 5.5*b7964*b320 + 6*b7965*b321 + 7*b7966*b322 + 5*b7967*b323 + 7*b7968*
      b324 + 8*b7969*b325 + 7*b7970*b326 + 6*b7971*b327 + 6.5*b7972*b328 + 7.5*
      b7973*b329 + 6*b7974*b330 + 5.5*b7975*b331 + 7.5*b7976*b332 + 6*b7977*
      b333 + 5.5*b7978*b334 + 5*b7979*b335 + 7*b7980*b336 + 5.5*b7981*b337 + 7*
      b7982*b338 + 6.5*b7983*b339 + 7*b7984*b340 + 6*b7985*b341 + 6.5*b7986*
      b342 + 5.5*b7987*b343 + 8*b7988*b344 + 8*b7989*b345 + 6.5*b7990*b346 + 
      7.5*b7991*b347 + 6.5*b7992*b348 + 7.5*b7993*b349 + 5.5*b7994*b350 + 5.5*
      b7995*b351 + 5*b7996*b352 + 5.5*b7997*b353 + 7*b7998*b354 + 8*b7999*b355
       + 5.5*b8000*b356 + 7*b8001*b357 + 8*b8002*b358 + 7*b8003*b359 + 8*b8004*
      b360 + 6*b8005*b361 + 7*b8006*b362 + 7*b8007*b363 + 5.5*b8008*b364 + 8*
      b8009*b365 + 5.5*b8010*b366 + 6*b8011*b367 + 6.5*b8012*b368 + 5*b8013*
      b369 + 6*b8014*b370 + 6.5*b8015*b371 + 6*b8016*b372 + 6*b8017*b373 + 5*
      b8018*b374 + 6*b8019*b375 + 7*b8020*b376 + 6*b8021*b377 + 7.5*b8022*b378
       + 6.5*b8023*b379 + 6.5*b8024*b380 + 6*b8025*b381 + 6.5*b8026*b382 + 5*
      b8027*b383 + 5.5*b8028*b384 + 5*b8029*b385 + 5.5*b8030*b386 + 5.5*b8031*
      b387 + 7.5*b8032*b388 + 5*b8033*b389 + 7*b8034*b390 + 7.5*b8035*b391 + 5*
      b8036*b392 + 6.5*b8037*b393 + 5*b8038*b394 + 7.5*b8039*b395 + 6*b8040*
      b396 + 5.5*b8041*b397 + 7.5*b8042*b398 + 7*b8043*b399 + 7*b8044*b400 + 
      7.5*b8045*b401 + 6*b8046*b402 + 6.5*b8047*b403 + 6.5*b8048*b404 + 8*b8049
      *b405 + 8*b8050*b406 + 6*b8051*b407 + 7*b8052*b408 + 8*b8053*b409 + 7.5*
      b8054*b410 + 5.5*b8055*b411 + 7.5*b8056*b412 + 8*b8057*b413 + 7.5*b8058*
      b414 + 7*b8059*b415 + 6*b8060*b416 + 6*b8061*b417 + 6*b8062*b418 + 7.5*
      b8063*b419 + 6.5*b8064*b420 + 5*b8065*b421 + 6*b8066*b422 + 6.5*b8067*
      b423 + 6*b8068*b424 + 7*b8069*b425 + 5*b8070*b426 + 6*b8071*b427 + 5.5*
      b8072*b428 + 6.5*b8073*b429 + 7.5*b8074*b430 + 6.5*b8075*b431 + 7*b8076*
      b432 + 8*b8077*b433 + 7.5*b8078*b434 + 8*b8079*b435 + 6.5*b8080*b436 + 7*
      b8081*b437 + 6.5*b8082*b438 + 7*b8083*b439 + 7*b8084*b440 + 5*b8085*b441
       + 5*b8086*b442 + 7*b8087*b443 + 7*b8088*b444 + 5.5*b8089*b445 + 6*b8090*
      b446 + 7*b8091*b447 + 6.5*b8092*b448 + 8*b8093*b449 + 6*b8094*b450 + 6.5*
      b8095*b451 + 7.5*b8096*b452 + 6.5*b8097*b453 + 6.5*b8098*b454 + 8*b8099*
      b455 + 6*b8100*b456 + 8*b8101*b457 + 6*b8102*b458 + 7*b8103*b459 + 7.5*
      b8104*b460 + 6*b8105*b461 + 7*b8106*b462 + 8*b8107*b463 + 7*b8108*b464 + 
      6.5*b8109*b465 + 7*b8110*b466 + 7*b8111*b467 + 5*b8112*b468 + 10*b1
       + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7 + 11*b8 + 12*b9 + 14*b10
       + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15 + 13*b16 + 15*b17 + 12*b18
       + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23 + 14*b24 + 11*b25 + 14*b26
       + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31 + 16*b32 + 16*b33 + 13*b34
       + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39 + 10*b40 + 11*b41 + 14*b42
       + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47 + 16*b48 + 12*b49 + 14*b50
       + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55 + 13*b56 + 10*b57 + 12*b58
       + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63 + 14*b64 + 12*b65 + 15*b66
       + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71 + 11*b72 + 10*b73 + 11*b74
       + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79 + 10*b80 + 13*b81 + 10*b82
       + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87 + 14*b88 + 15*b89 + 12*b90
       + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95 + 14*b96 + 16*b97 + 15*b98
       + 11*b99 + 15*b100 + 16*b101 + 15*b102 + 14*b103 + 12*b104 + 12*b105
       + 12*b106 + 15*b107 + 13*b108 + 10*b109 + 12*b110 + 13*b111 + 12*b112
       + 14*b113 + 10*b114 + 12*b115 + 11*b116 + 13*b117 + 15*b118 + 13*b119
       + 14*b120 + 16*b121 + 15*b122 + 16*b123 + 13*b124 + 14*b125 + 13*b126
       + 14*b127 + 14*b128 + 10*b129 + 10*b130 + 14*b131 + 14*b132 + 11*b133
       + 12*b134 + 14*b135 + 13*b136 + 16*b137 + 12*b138 + 13*b139 + 15*b140
       + 13*b141 + 13*b142 + 16*b143 + 12*b144 + 16*b145 + 12*b146 + 14*b147
       + 15*b148 + 12*b149 + 14*b150 + 16*b151 + 14*b152 + 13*b153 + 14*b154
       + 14*b155 + 10*b156 - x23869 =L= 0;

e28.. 5*b2965*b7957 + 6.5*b2966*b7958 + 7.5*b2967*b7959 + 8*b2968*b7960 + 5.5*
      b2969*b7961 + 7*b2970*b7962 + 7*b2971*b7963 + 5.5*b2972*b7964 + 6*b2973*
      b7965 + 7*b2974*b7966 + 5*b2975*b7967 + 7*b2976*b7968 + 8*b2977*b7969 + 7
      *b2978*b7970 + 6*b2979*b7971 + 6.5*b2980*b7972 + 7.5*b2981*b7973 + 6*
      b2982*b7974 + 5.5*b2983*b7975 + 7.5*b2984*b7976 + 6*b2985*b7977 + 5.5*
      b2986*b7978 + 5*b2987*b7979 + 7*b2988*b7980 + 5.5*b2989*b7981 + 7*b2990*
      b7982 + 6.5*b2991*b7983 + 7*b2992*b7984 + 6*b2993*b7985 + 6.5*b2994*b7986
       + 5.5*b2995*b7987 + 8*b2996*b7988 + 8*b2997*b7989 + 6.5*b2998*b7990 + 
      7.5*b2999*b7991 + 6.5*b3000*b7992 + 7.5*b3001*b7993 + 5.5*b3002*b7994 + 
      5.5*b3003*b7995 + 5*b3004*b7996 + 5.5*b3005*b7997 + 7*b3006*b7998 + 8*
      b3007*b7999 + 5.5*b3008*b8000 + 7*b3009*b8001 + 8*b3010*b8002 + 7*b3011*
      b8003 + 8*b3012*b8004 + 6*b3013*b8005 + 7*b3014*b8006 + 7*b3015*b8007 + 
      5.5*b3016*b8008 + 8*b3017*b8009 + 5.5*b3018*b8010 + 6*b3019*b8011 + 6.5*
      b3020*b8012 + 5*b3021*b8013 + 6*b3022*b8014 + 6.5*b3023*b8015 + 6*b3024*
      b8016 + 6*b3025*b8017 + 5*b3026*b8018 + 6*b3027*b8019 + 7*b3028*b8020 + 6
      *b3029*b8021 + 7.5*b3030*b8022 + 6.5*b3031*b8023 + 6.5*b3032*b8024 + 6*
      b3033*b8025 + 6.5*b3034*b8026 + 5*b3035*b8027 + 5.5*b3036*b8028 + 5*b3037
      *b8029 + 5.5*b3038*b8030 + 5.5*b3039*b8031 + 7.5*b3040*b8032 + 5*b3041*
      b8033 + 7*b3042*b8034 + 7.5*b3043*b8035 + 5*b3044*b8036 + 6.5*b3045*b8037
       + 5*b3046*b8038 + 7.5*b3047*b8039 + 6*b3048*b8040 + 5.5*b3049*b8041 + 
      7.5*b3050*b8042 + 7*b3051*b8043 + 7*b3052*b8044 + 7.5*b3053*b8045 + 6*
      b3054*b8046 + 6.5*b3055*b8047 + 6.5*b3056*b8048 + 8*b3057*b8049 + 8*b3058
      *b8050 + 6*b3059*b8051 + 7*b3060*b8052 + 8*b3061*b8053 + 7.5*b3062*b8054
       + 5.5*b3063*b8055 + 7.5*b3064*b8056 + 8*b3065*b8057 + 7.5*b3066*b8058 + 
      7*b3067*b8059 + 6*b3068*b8060 + 6*b3069*b8061 + 6*b3070*b8062 + 7.5*b3071
      *b8063 + 6.5*b3072*b8064 + 5*b3073*b8065 + 6*b3074*b8066 + 6.5*b3075*
      b8067 + 6*b3076*b8068 + 7*b3077*b8069 + 5*b3078*b8070 + 6*b3079*b8071 + 
      5.5*b3080*b8072 + 6.5*b3081*b8073 + 7.5*b3082*b8074 + 6.5*b3083*b8075 + 7
      *b3084*b8076 + 8*b3085*b8077 + 7.5*b3086*b8078 + 8*b3087*b8079 + 6.5*
      b3088*b8080 + 7*b3089*b8081 + 6.5*b3090*b8082 + 7*b3091*b8083 + 7*b3092*
      b8084 + 5*b3093*b8085 + 5*b3094*b8086 + 7*b3095*b8087 + 7*b3096*b8088 + 
      5.5*b3097*b8089 + 6*b3098*b8090 + 7*b3099*b8091 + 6.5*b3100*b8092 + 8*
      b3101*b8093 + 6*b3102*b8094 + 6.5*b3103*b8095 + 7.5*b3104*b8096 + 6.5*
      b3105*b8097 + 6.5*b3106*b8098 + 8*b3107*b8099 + 6*b3108*b8100 + 8*b3109*
      b8101 + 6*b3110*b8102 + 7*b3111*b8103 + 7.5*b3112*b8104 + 6*b3113*b8105
       + 7*b3114*b8106 + 8*b3115*b8107 + 7*b3116*b8108 + 6.5*b3117*b8109 + 7*
      b3118*b8110 + 7*b3119*b8111 + 5*b3120*b8112 + 5*b7957*b2965 + 6.5*b7958*
      b2966 + 7.5*b7959*b2967 + 8*b7960*b2968 + 5.5*b7961*b2969 + 7*b7962*b2970
       + 7*b7963*b2971 + 5.5*b7964*b2972 + 6*b7965*b2973 + 7*b7966*b2974 + 5*
      b7967*b2975 + 7*b7968*b2976 + 8*b7969*b2977 + 7*b7970*b2978 + 6*b7971*
      b2979 + 6.5*b7972*b2980 + 7.5*b7973*b2981 + 6*b7974*b2982 + 5.5*b7975*
      b2983 + 7.5*b7976*b2984 + 6*b7977*b2985 + 5.5*b7978*b2986 + 5*b7979*b2987
       + 7*b7980*b2988 + 5.5*b7981*b2989 + 7*b7982*b2990 + 6.5*b7983*b2991 + 7*
      b7984*b2992 + 6*b7985*b2993 + 6.5*b7986*b2994 + 5.5*b7987*b2995 + 8*b7988
      *b2996 + 8*b7989*b2997 + 6.5*b7990*b2998 + 7.5*b7991*b2999 + 6.5*b7992*
      b3000 + 7.5*b7993*b3001 + 5.5*b7994*b3002 + 5.5*b7995*b3003 + 5*b7996*
      b3004 + 5.5*b7997*b3005 + 7*b7998*b3006 + 8*b7999*b3007 + 5.5*b8000*b3008
       + 7*b8001*b3009 + 8*b8002*b3010 + 7*b8003*b3011 + 8*b8004*b3012 + 6*
      b8005*b3013 + 7*b8006*b3014 + 7*b8007*b3015 + 5.5*b8008*b3016 + 8*b8009*
      b3017 + 5.5*b8010*b3018 + 6*b8011*b3019 + 6.5*b8012*b3020 + 5*b8013*b3021
       + 6*b8014*b3022 + 6.5*b8015*b3023 + 6*b8016*b3024 + 6*b8017*b3025 + 5*
      b8018*b3026 + 6*b8019*b3027 + 7*b8020*b3028 + 6*b8021*b3029 + 7.5*b8022*
      b3030 + 6.5*b8023*b3031 + 6.5*b8024*b3032 + 6*b8025*b3033 + 6.5*b8026*
      b3034 + 5*b8027*b3035 + 5.5*b8028*b3036 + 5*b8029*b3037 + 5.5*b8030*b3038
       + 5.5*b8031*b3039 + 7.5*b8032*b3040 + 5*b8033*b3041 + 7*b8034*b3042 + 
      7.5*b8035*b3043 + 5*b8036*b3044 + 6.5*b8037*b3045 + 5*b8038*b3046 + 7.5*
      b8039*b3047 + 6*b8040*b3048 + 5.5*b8041*b3049 + 7.5*b8042*b3050 + 7*b8043
      *b3051 + 7*b8044*b3052 + 7.5*b8045*b3053 + 6*b8046*b3054 + 6.5*b8047*
      b3055 + 6.5*b8048*b3056 + 8*b8049*b3057 + 8*b8050*b3058 + 6*b8051*b3059
       + 7*b8052*b3060 + 8*b8053*b3061 + 7.5*b8054*b3062 + 5.5*b8055*b3063 + 
      7.5*b8056*b3064 + 8*b8057*b3065 + 7.5*b8058*b3066 + 7*b8059*b3067 + 6*
      b8060*b3068 + 6*b8061*b3069 + 6*b8062*b3070 + 7.5*b8063*b3071 + 6.5*b8064
      *b3072 + 5*b8065*b3073 + 6*b8066*b3074 + 6.5*b8067*b3075 + 6*b8068*b3076
       + 7*b8069*b3077 + 5*b8070*b3078 + 6*b8071*b3079 + 5.5*b8072*b3080 + 6.5*
      b8073*b3081 + 7.5*b8074*b3082 + 6.5*b8075*b3083 + 7*b8076*b3084 + 8*b8077
      *b3085 + 7.5*b8078*b3086 + 8*b8079*b3087 + 6.5*b8080*b3088 + 7*b8081*
      b3089 + 6.5*b8082*b3090 + 7*b8083*b3091 + 7*b8084*b3092 + 5*b8085*b3093
       + 5*b8086*b3094 + 7*b8087*b3095 + 7*b8088*b3096 + 5.5*b8089*b3097 + 6*
      b8090*b3098 + 7*b8091*b3099 + 6.5*b8092*b3100 + 8*b8093*b3101 + 6*b8094*
      b3102 + 6.5*b8095*b3103 + 7.5*b8096*b3104 + 6.5*b8097*b3105 + 6.5*b8098*
      b3106 + 8*b8099*b3107 + 6*b8100*b3108 + 8*b8101*b3109 + 6*b8102*b3110 + 7
      *b8103*b3111 + 7.5*b8104*b3112 + 6*b8105*b3113 + 7*b8106*b3114 + 8*b8107*
      b3115 + 7*b8108*b3116 + 6.5*b8109*b3117 + 7*b8110*b3118 + 7*b8111*b3119
       + 5*b8112*b3120 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e29.. 5*b4993*b7957 + 6.5*b4994*b7958 + 7.5*b4995*b7959 + 8*b4996*b7960 + 5.5*
      b4997*b7961 + 7*b4998*b7962 + 7*b4999*b7963 + 5.5*b5000*b7964 + 6*b5001*
      b7965 + 7*b5002*b7966 + 5*b5003*b7967 + 7*b5004*b7968 + 8*b5005*b7969 + 7
      *b5006*b7970 + 6*b5007*b7971 + 6.5*b5008*b7972 + 7.5*b5009*b7973 + 6*
      b5010*b7974 + 5.5*b5011*b7975 + 7.5*b5012*b7976 + 6*b5013*b7977 + 5.5*
      b5014*b7978 + 5*b5015*b7979 + 7*b5016*b7980 + 5.5*b5017*b7981 + 7*b5018*
      b7982 + 6.5*b5019*b7983 + 7*b5020*b7984 + 6*b5021*b7985 + 6.5*b5022*b7986
       + 5.5*b5023*b7987 + 8*b5024*b7988 + 8*b5025*b7989 + 6.5*b5026*b7990 + 
      7.5*b5027*b7991 + 6.5*b5028*b7992 + 7.5*b5029*b7993 + 5.5*b5030*b7994 + 
      5.5*b5031*b7995 + 5*b5032*b7996 + 5.5*b5033*b7997 + 7*b5034*b7998 + 8*
      b5035*b7999 + 5.5*b5036*b8000 + 7*b5037*b8001 + 8*b5038*b8002 + 7*b5039*
      b8003 + 8*b5040*b8004 + 6*b5041*b8005 + 7*b5042*b8006 + 7*b5043*b8007 + 
      5.5*b5044*b8008 + 8*b5045*b8009 + 5.5*b5046*b8010 + 6*b5047*b8011 + 6.5*
      b5048*b8012 + 5*b5049*b8013 + 6*b5050*b8014 + 6.5*b5051*b8015 + 6*b5052*
      b8016 + 6*b5053*b8017 + 5*b5054*b8018 + 6*b5055*b8019 + 7*b5056*b8020 + 6
      *b5057*b8021 + 7.5*b5058*b8022 + 6.5*b5059*b8023 + 6.5*b5060*b8024 + 6*
      b5061*b8025 + 6.5*b5062*b8026 + 5*b5063*b8027 + 5.5*b5064*b8028 + 5*b5065
      *b8029 + 5.5*b5066*b8030 + 5.5*b5067*b8031 + 7.5*b5068*b8032 + 5*b5069*
      b8033 + 7*b5070*b8034 + 7.5*b5071*b8035 + 5*b5072*b8036 + 6.5*b5073*b8037
       + 5*b5074*b8038 + 7.5*b5075*b8039 + 6*b5076*b8040 + 5.5*b5077*b8041 + 
      7.5*b5078*b8042 + 7*b5079*b8043 + 7*b5080*b8044 + 7.5*b5081*b8045 + 6*
      b5082*b8046 + 6.5*b5083*b8047 + 6.5*b5084*b8048 + 8*b5085*b8049 + 8*b5086
      *b8050 + 6*b5087*b8051 + 7*b5088*b8052 + 8*b5089*b8053 + 7.5*b5090*b8054
       + 5.5*b5091*b8055 + 7.5*b5092*b8056 + 8*b5093*b8057 + 7.5*b5094*b8058 + 
      7*b5095*b8059 + 6*b5096*b8060 + 6*b5097*b8061 + 6*b5098*b8062 + 7.5*b5099
      *b8063 + 6.5*b5100*b8064 + 5*b5101*b8065 + 6*b5102*b8066 + 6.5*b5103*
      b8067 + 6*b5104*b8068 + 7*b5105*b8069 + 5*b5106*b8070 + 6*b5107*b8071 + 
      5.5*b5108*b8072 + 6.5*b5109*b8073 + 7.5*b5110*b8074 + 6.5*b5111*b8075 + 7
      *b5112*b8076 + 8*b5113*b8077 + 7.5*b5114*b8078 + 8*b5115*b8079 + 6.5*
      b5116*b8080 + 7*b5117*b8081 + 6.5*b5118*b8082 + 7*b5119*b8083 + 7*b5120*
      b8084 + 5*b5121*b8085 + 5*b5122*b8086 + 7*b5123*b8087 + 7*b5124*b8088 + 
      5.5*b5125*b8089 + 6*b5126*b8090 + 7*b5127*b8091 + 6.5*b5128*b8092 + 8*
      b5129*b8093 + 6*b5130*b8094 + 6.5*b5131*b8095 + 7.5*b5132*b8096 + 6.5*
      b5133*b8097 + 6.5*b5134*b8098 + 8*b5135*b8099 + 6*b5136*b8100 + 8*b5137*
      b8101 + 6*b5138*b8102 + 7*b5139*b8103 + 7.5*b5140*b8104 + 6*b5141*b8105
       + 7*b5142*b8106 + 8*b5143*b8107 + 7*b5144*b8108 + 6.5*b5145*b8109 + 7*
      b5146*b8110 + 7*b5147*b8111 + 5*b5148*b8112 + 5*b7957*b4993 + 6.5*b7958*
      b4994 + 7.5*b7959*b4995 + 8*b7960*b4996 + 5.5*b7961*b4997 + 7*b7962*b4998
       + 7*b7963*b4999 + 5.5*b7964*b5000 + 6*b7965*b5001 + 7*b7966*b5002 + 5*
      b7967*b5003 + 7*b7968*b5004 + 8*b7969*b5005 + 7*b7970*b5006 + 6*b7971*
      b5007 + 6.5*b7972*b5008 + 7.5*b7973*b5009 + 6*b7974*b5010 + 5.5*b7975*
      b5011 + 7.5*b7976*b5012 + 6*b7977*b5013 + 5.5*b7978*b5014 + 5*b7979*b5015
       + 7*b7980*b5016 + 5.5*b7981*b5017 + 7*b7982*b5018 + 6.5*b7983*b5019 + 7*
      b7984*b5020 + 6*b7985*b5021 + 6.5*b7986*b5022 + 5.5*b7987*b5023 + 8*b7988
      *b5024 + 8*b7989*b5025 + 6.5*b7990*b5026 + 7.5*b7991*b5027 + 6.5*b7992*
      b5028 + 7.5*b7993*b5029 + 5.5*b7994*b5030 + 5.5*b7995*b5031 + 5*b7996*
      b5032 + 5.5*b7997*b5033 + 7*b7998*b5034 + 8*b7999*b5035 + 5.5*b8000*b5036
       + 7*b8001*b5037 + 8*b8002*b5038 + 7*b8003*b5039 + 8*b8004*b5040 + 6*
      b8005*b5041 + 7*b8006*b5042 + 7*b8007*b5043 + 5.5*b8008*b5044 + 8*b8009*
      b5045 + 5.5*b8010*b5046 + 6*b8011*b5047 + 6.5*b8012*b5048 + 5*b8013*b5049
       + 6*b8014*b5050 + 6.5*b8015*b5051 + 6*b8016*b5052 + 6*b8017*b5053 + 5*
      b8018*b5054 + 6*b8019*b5055 + 7*b8020*b5056 + 6*b8021*b5057 + 7.5*b8022*
      b5058 + 6.5*b8023*b5059 + 6.5*b8024*b5060 + 6*b8025*b5061 + 6.5*b8026*
      b5062 + 5*b8027*b5063 + 5.5*b8028*b5064 + 5*b8029*b5065 + 5.5*b8030*b5066
       + 5.5*b8031*b5067 + 7.5*b8032*b5068 + 5*b8033*b5069 + 7*b8034*b5070 + 
      7.5*b8035*b5071 + 5*b8036*b5072 + 6.5*b8037*b5073 + 5*b8038*b5074 + 7.5*
      b8039*b5075 + 6*b8040*b5076 + 5.5*b8041*b5077 + 7.5*b8042*b5078 + 7*b8043
      *b5079 + 7*b8044*b5080 + 7.5*b8045*b5081 + 6*b8046*b5082 + 6.5*b8047*
      b5083 + 6.5*b8048*b5084 + 8*b8049*b5085 + 8*b8050*b5086 + 6*b8051*b5087
       + 7*b8052*b5088 + 8*b8053*b5089 + 7.5*b8054*b5090 + 5.5*b8055*b5091 + 
      7.5*b8056*b5092 + 8*b8057*b5093 + 7.5*b8058*b5094 + 7*b8059*b5095 + 6*
      b8060*b5096 + 6*b8061*b5097 + 6*b8062*b5098 + 7.5*b8063*b5099 + 6.5*b8064
      *b5100 + 5*b8065*b5101 + 6*b8066*b5102 + 6.5*b8067*b5103 + 6*b8068*b5104
       + 7*b8069*b5105 + 5*b8070*b5106 + 6*b8071*b5107 + 5.5*b8072*b5108 + 6.5*
      b8073*b5109 + 7.5*b8074*b5110 + 6.5*b8075*b5111 + 7*b8076*b5112 + 8*b8077
      *b5113 + 7.5*b8078*b5114 + 8*b8079*b5115 + 6.5*b8080*b5116 + 7*b8081*
      b5117 + 6.5*b8082*b5118 + 7*b8083*b5119 + 7*b8084*b5120 + 5*b8085*b5121
       + 5*b8086*b5122 + 7*b8087*b5123 + 7*b8088*b5124 + 5.5*b8089*b5125 + 6*
      b8090*b5126 + 7*b8091*b5127 + 6.5*b8092*b5128 + 8*b8093*b5129 + 6*b8094*
      b5130 + 6.5*b8095*b5131 + 7.5*b8096*b5132 + 6.5*b8097*b5133 + 6.5*b8098*
      b5134 + 8*b8099*b5135 + 6*b8100*b5136 + 8*b8101*b5137 + 6*b8102*b5138 + 7
      *b8103*b5139 + 7.5*b8104*b5140 + 6*b8105*b5141 + 7*b8106*b5142 + 8*b8107*
      b5143 + 7*b8108*b5144 + 6.5*b8109*b5145 + 7*b8110*b5146 + 7*b8111*b5147
       + 5*b8112*b5148 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e30.. 5*b5773*b7957 + 6.5*b5774*b7958 + 7.5*b5775*b7959 + 8*b5776*b7960 + 5.5*
      b5777*b7961 + 7*b5778*b7962 + 7*b5779*b7963 + 5.5*b5780*b7964 + 6*b5781*
      b7965 + 7*b5782*b7966 + 5*b5783*b7967 + 7*b5784*b7968 + 8*b5785*b7969 + 7
      *b5786*b7970 + 6*b5787*b7971 + 6.5*b5788*b7972 + 7.5*b5789*b7973 + 6*
      b5790*b7974 + 5.5*b5791*b7975 + 7.5*b5792*b7976 + 6*b5793*b7977 + 5.5*
      b5794*b7978 + 5*b5795*b7979 + 7*b5796*b7980 + 5.5*b5797*b7981 + 7*b5798*
      b7982 + 6.5*b5799*b7983 + 7*b5800*b7984 + 6*b5801*b7985 + 6.5*b5802*b7986
       + 5.5*b5803*b7987 + 8*b5804*b7988 + 8*b5805*b7989 + 6.5*b5806*b7990 + 
      7.5*b5807*b7991 + 6.5*b5808*b7992 + 7.5*b5809*b7993 + 5.5*b5810*b7994 + 
      5.5*b5811*b7995 + 5*b5812*b7996 + 5.5*b5813*b7997 + 7*b5814*b7998 + 8*
      b5815*b7999 + 5.5*b5816*b8000 + 7*b5817*b8001 + 8*b5818*b8002 + 7*b5819*
      b8003 + 8*b5820*b8004 + 6*b5821*b8005 + 7*b5822*b8006 + 7*b5823*b8007 + 
      5.5*b5824*b8008 + 8*b5825*b8009 + 5.5*b5826*b8010 + 6*b5827*b8011 + 6.5*
      b5828*b8012 + 5*b5829*b8013 + 6*b5830*b8014 + 6.5*b5831*b8015 + 6*b5832*
      b8016 + 6*b5833*b8017 + 5*b5834*b8018 + 6*b5835*b8019 + 7*b5836*b8020 + 6
      *b5837*b8021 + 7.5*b5838*b8022 + 6.5*b5839*b8023 + 6.5*b5840*b8024 + 6*
      b5841*b8025 + 6.5*b5842*b8026 + 5*b5843*b8027 + 5.5*b5844*b8028 + 5*b5845
      *b8029 + 5.5*b5846*b8030 + 5.5*b5847*b8031 + 7.5*b5848*b8032 + 5*b5849*
      b8033 + 7*b5850*b8034 + 7.5*b5851*b8035 + 5*b5852*b8036 + 6.5*b5853*b8037
       + 5*b5854*b8038 + 7.5*b5855*b8039 + 6*b5856*b8040 + 5.5*b5857*b8041 + 
      7.5*b5858*b8042 + 7*b5859*b8043 + 7*b5860*b8044 + 7.5*b5861*b8045 + 6*
      b5862*b8046 + 6.5*b5863*b8047 + 6.5*b5864*b8048 + 8*b5865*b8049 + 8*b5866
      *b8050 + 6*b5867*b8051 + 7*b5868*b8052 + 8*b5869*b8053 + 7.5*b5870*b8054
       + 5.5*b5871*b8055 + 7.5*b5872*b8056 + 8*b5873*b8057 + 7.5*b5874*b8058 + 
      7*b5875*b8059 + 6*b5876*b8060 + 6*b5877*b8061 + 6*b5878*b8062 + 7.5*b5879
      *b8063 + 6.5*b5880*b8064 + 5*b5881*b8065 + 6*b5882*b8066 + 6.5*b5883*
      b8067 + 6*b5884*b8068 + 7*b5885*b8069 + 5*b5886*b8070 + 6*b5887*b8071 + 
      5.5*b5888*b8072 + 6.5*b5889*b8073 + 7.5*b5890*b8074 + 6.5*b5891*b8075 + 7
      *b5892*b8076 + 8*b5893*b8077 + 7.5*b5894*b8078 + 8*b5895*b8079 + 6.5*
      b5896*b8080 + 7*b5897*b8081 + 6.5*b5898*b8082 + 7*b5899*b8083 + 7*b5900*
      b8084 + 5*b5901*b8085 + 5*b5902*b8086 + 7*b5903*b8087 + 7*b5904*b8088 + 
      5.5*b5905*b8089 + 6*b5906*b8090 + 7*b5907*b8091 + 6.5*b5908*b8092 + 8*
      b5909*b8093 + 6*b5910*b8094 + 6.5*b5911*b8095 + 7.5*b5912*b8096 + 6.5*
      b5913*b8097 + 6.5*b5914*b8098 + 8*b5915*b8099 + 6*b5916*b8100 + 8*b5917*
      b8101 + 6*b5918*b8102 + 7*b5919*b8103 + 7.5*b5920*b8104 + 6*b5921*b8105
       + 7*b5922*b8106 + 8*b5923*b8107 + 7*b5924*b8108 + 6.5*b5925*b8109 + 7*
      b5926*b8110 + 7*b5927*b8111 + 5*b5928*b8112 + 5*b7957*b5773 + 6.5*b7958*
      b5774 + 7.5*b7959*b5775 + 8*b7960*b5776 + 5.5*b7961*b5777 + 7*b7962*b5778
       + 7*b7963*b5779 + 5.5*b7964*b5780 + 6*b7965*b5781 + 7*b7966*b5782 + 5*
      b7967*b5783 + 7*b7968*b5784 + 8*b7969*b5785 + 7*b7970*b5786 + 6*b7971*
      b5787 + 6.5*b7972*b5788 + 7.5*b7973*b5789 + 6*b7974*b5790 + 5.5*b7975*
      b5791 + 7.5*b7976*b5792 + 6*b7977*b5793 + 5.5*b7978*b5794 + 5*b7979*b5795
       + 7*b7980*b5796 + 5.5*b7981*b5797 + 7*b7982*b5798 + 6.5*b7983*b5799 + 7*
      b7984*b5800 + 6*b7985*b5801 + 6.5*b7986*b5802 + 5.5*b7987*b5803 + 8*b7988
      *b5804 + 8*b7989*b5805 + 6.5*b7990*b5806 + 7.5*b7991*b5807 + 6.5*b7992*
      b5808 + 7.5*b7993*b5809 + 5.5*b7994*b5810 + 5.5*b7995*b5811 + 5*b7996*
      b5812 + 5.5*b7997*b5813 + 7*b7998*b5814 + 8*b7999*b5815 + 5.5*b8000*b5816
       + 7*b8001*b5817 + 8*b8002*b5818 + 7*b8003*b5819 + 8*b8004*b5820 + 6*
      b8005*b5821 + 7*b8006*b5822 + 7*b8007*b5823 + 5.5*b8008*b5824 + 8*b8009*
      b5825 + 5.5*b8010*b5826 + 6*b8011*b5827 + 6.5*b8012*b5828 + 5*b8013*b5829
       + 6*b8014*b5830 + 6.5*b8015*b5831 + 6*b8016*b5832 + 6*b8017*b5833 + 5*
      b8018*b5834 + 6*b8019*b5835 + 7*b8020*b5836 + 6*b8021*b5837 + 7.5*b8022*
      b5838 + 6.5*b8023*b5839 + 6.5*b8024*b5840 + 6*b8025*b5841 + 6.5*b8026*
      b5842 + 5*b8027*b5843 + 5.5*b8028*b5844 + 5*b8029*b5845 + 5.5*b8030*b5846
       + 5.5*b8031*b5847 + 7.5*b8032*b5848 + 5*b8033*b5849 + 7*b8034*b5850 + 
      7.5*b8035*b5851 + 5*b8036*b5852 + 6.5*b8037*b5853 + 5*b8038*b5854 + 7.5*
      b8039*b5855 + 6*b8040*b5856 + 5.5*b8041*b5857 + 7.5*b8042*b5858 + 7*b8043
      *b5859 + 7*b8044*b5860 + 7.5*b8045*b5861 + 6*b8046*b5862 + 6.5*b8047*
      b5863 + 6.5*b8048*b5864 + 8*b8049*b5865 + 8*b8050*b5866 + 6*b8051*b5867
       + 7*b8052*b5868 + 8*b8053*b5869 + 7.5*b8054*b5870 + 5.5*b8055*b5871 + 
      7.5*b8056*b5872 + 8*b8057*b5873 + 7.5*b8058*b5874 + 7*b8059*b5875 + 6*
      b8060*b5876 + 6*b8061*b5877 + 6*b8062*b5878 + 7.5*b8063*b5879 + 6.5*b8064
      *b5880 + 5*b8065*b5881 + 6*b8066*b5882 + 6.5*b8067*b5883 + 6*b8068*b5884
       + 7*b8069*b5885 + 5*b8070*b5886 + 6*b8071*b5887 + 5.5*b8072*b5888 + 6.5*
      b8073*b5889 + 7.5*b8074*b5890 + 6.5*b8075*b5891 + 7*b8076*b5892 + 8*b8077
      *b5893 + 7.5*b8078*b5894 + 8*b8079*b5895 + 6.5*b8080*b5896 + 7*b8081*
      b5897 + 6.5*b8082*b5898 + 7*b8083*b5899 + 7*b8084*b5900 + 5*b8085*b5901
       + 5*b8086*b5902 + 7*b8087*b5903 + 7*b8088*b5904 + 5.5*b8089*b5905 + 6*
      b8090*b5906 + 7*b8091*b5907 + 6.5*b8092*b5908 + 8*b8093*b5909 + 6*b8094*
      b5910 + 6.5*b8095*b5911 + 7.5*b8096*b5912 + 6.5*b8097*b5913 + 6.5*b8098*
      b5914 + 8*b8099*b5915 + 6*b8100*b5916 + 8*b8101*b5917 + 6*b8102*b5918 + 7
      *b8103*b5919 + 7.5*b8104*b5920 + 6*b8105*b5921 + 7*b8106*b5922 + 8*b8107*
      b5923 + 7*b8108*b5924 + 6.5*b8109*b5925 + 7*b8110*b5926 + 7*b8111*b5927
       + 5*b8112*b5928 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e31.. 5*b6241*b7957 + 6.5*b6242*b7958 + 7.5*b6243*b7959 + 8*b6244*b7960 + 5.5*
      b6245*b7961 + 7*b6246*b7962 + 7*b6247*b7963 + 5.5*b6248*b7964 + 6*b6249*
      b7965 + 7*b6250*b7966 + 5*b6251*b7967 + 7*b6252*b7968 + 8*b6253*b7969 + 7
      *b6254*b7970 + 6*b6255*b7971 + 6.5*b6256*b7972 + 7.5*b6257*b7973 + 6*
      b6258*b7974 + 5.5*b6259*b7975 + 7.5*b6260*b7976 + 6*b6261*b7977 + 5.5*
      b6262*b7978 + 5*b6263*b7979 + 7*b6264*b7980 + 5.5*b6265*b7981 + 7*b6266*
      b7982 + 6.5*b6267*b7983 + 7*b6268*b7984 + 6*b6269*b7985 + 6.5*b6270*b7986
       + 5.5*b6271*b7987 + 8*b6272*b7988 + 8*b6273*b7989 + 6.5*b6274*b7990 + 
      7.5*b6275*b7991 + 6.5*b6276*b7992 + 7.5*b6277*b7993 + 5.5*b6278*b7994 + 
      5.5*b6279*b7995 + 5*b6280*b7996 + 5.5*b6281*b7997 + 7*b6282*b7998 + 8*
      b6283*b7999 + 5.5*b6284*b8000 + 7*b6285*b8001 + 8*b6286*b8002 + 7*b6287*
      b8003 + 8*b6288*b8004 + 6*b6289*b8005 + 7*b6290*b8006 + 7*b6291*b8007 + 
      5.5*b6292*b8008 + 8*b6293*b8009 + 5.5*b6294*b8010 + 6*b6295*b8011 + 6.5*
      b6296*b8012 + 5*b6297*b8013 + 6*b6298*b8014 + 6.5*b6299*b8015 + 6*b6300*
      b8016 + 6*b6301*b8017 + 5*b6302*b8018 + 6*b6303*b8019 + 7*b6304*b8020 + 6
      *b6305*b8021 + 7.5*b6306*b8022 + 6.5*b6307*b8023 + 6.5*b6308*b8024 + 6*
      b6309*b8025 + 6.5*b6310*b8026 + 5*b6311*b8027 + 5.5*b6312*b8028 + 5*b6313
      *b8029 + 5.5*b6314*b8030 + 5.5*b6315*b8031 + 7.5*b6316*b8032 + 5*b6317*
      b8033 + 7*b6318*b8034 + 7.5*b6319*b8035 + 5*b6320*b8036 + 6.5*b6321*b8037
       + 5*b6322*b8038 + 7.5*b6323*b8039 + 6*b6324*b8040 + 5.5*b6325*b8041 + 
      7.5*b6326*b8042 + 7*b6327*b8043 + 7*b6328*b8044 + 7.5*b6329*b8045 + 6*
      b6330*b8046 + 6.5*b6331*b8047 + 6.5*b6332*b8048 + 8*b6333*b8049 + 8*b6334
      *b8050 + 6*b6335*b8051 + 7*b6336*b8052 + 8*b6337*b8053 + 7.5*b6338*b8054
       + 5.5*b6339*b8055 + 7.5*b6340*b8056 + 8*b6341*b8057 + 7.5*b6342*b8058 + 
      7*b6343*b8059 + 6*b6344*b8060 + 6*b6345*b8061 + 6*b6346*b8062 + 7.5*b6347
      *b8063 + 6.5*b6348*b8064 + 5*b6349*b8065 + 6*b6350*b8066 + 6.5*b6351*
      b8067 + 6*b6352*b8068 + 7*b6353*b8069 + 5*b6354*b8070 + 6*b6355*b8071 + 
      5.5*b6356*b8072 + 6.5*b6357*b8073 + 7.5*b6358*b8074 + 6.5*b6359*b8075 + 7
      *b6360*b8076 + 8*b6361*b8077 + 7.5*b6362*b8078 + 8*b6363*b8079 + 6.5*
      b6364*b8080 + 7*b6365*b8081 + 6.5*b6366*b8082 + 7*b6367*b8083 + 7*b6368*
      b8084 + 5*b6369*b8085 + 5*b6370*b8086 + 7*b6371*b8087 + 7*b6372*b8088 + 
      5.5*b6373*b8089 + 6*b6374*b8090 + 7*b6375*b8091 + 6.5*b6376*b8092 + 8*
      b6377*b8093 + 6*b6378*b8094 + 6.5*b6379*b8095 + 7.5*b6380*b8096 + 6.5*
      b6381*b8097 + 6.5*b6382*b8098 + 8*b6383*b8099 + 6*b6384*b8100 + 8*b6385*
      b8101 + 6*b6386*b8102 + 7*b6387*b8103 + 7.5*b6388*b8104 + 6*b6389*b8105
       + 7*b6390*b8106 + 8*b6391*b8107 + 7*b6392*b8108 + 6.5*b6393*b8109 + 7*
      b6394*b8110 + 7*b6395*b8111 + 5*b6396*b8112 + 5*b7957*b6241 + 6.5*b7958*
      b6242 + 7.5*b7959*b6243 + 8*b7960*b6244 + 5.5*b7961*b6245 + 7*b7962*b6246
       + 7*b7963*b6247 + 5.5*b7964*b6248 + 6*b7965*b6249 + 7*b7966*b6250 + 5*
      b7967*b6251 + 7*b7968*b6252 + 8*b7969*b6253 + 7*b7970*b6254 + 6*b7971*
      b6255 + 6.5*b7972*b6256 + 7.5*b7973*b6257 + 6*b7974*b6258 + 5.5*b7975*
      b6259 + 7.5*b7976*b6260 + 6*b7977*b6261 + 5.5*b7978*b6262 + 5*b7979*b6263
       + 7*b7980*b6264 + 5.5*b7981*b6265 + 7*b7982*b6266 + 6.5*b7983*b6267 + 7*
      b7984*b6268 + 6*b7985*b6269 + 6.5*b7986*b6270 + 5.5*b7987*b6271 + 8*b7988
      *b6272 + 8*b7989*b6273 + 6.5*b7990*b6274 + 7.5*b7991*b6275 + 6.5*b7992*
      b6276 + 7.5*b7993*b6277 + 5.5*b7994*b6278 + 5.5*b7995*b6279 + 5*b7996*
      b6280 + 5.5*b7997*b6281 + 7*b7998*b6282 + 8*b7999*b6283 + 5.5*b8000*b6284
       + 7*b8001*b6285 + 8*b8002*b6286 + 7*b8003*b6287 + 8*b8004*b6288 + 6*
      b8005*b6289 + 7*b8006*b6290 + 7*b8007*b6291 + 5.5*b8008*b6292 + 8*b8009*
      b6293 + 5.5*b8010*b6294 + 6*b8011*b6295 + 6.5*b8012*b6296 + 5*b8013*b6297
       + 6*b8014*b6298 + 6.5*b8015*b6299 + 6*b8016*b6300 + 6*b8017*b6301 + 5*
      b8018*b6302 + 6*b8019*b6303 + 7*b8020*b6304 + 6*b8021*b6305 + 7.5*b8022*
      b6306 + 6.5*b8023*b6307 + 6.5*b8024*b6308 + 6*b8025*b6309 + 6.5*b8026*
      b6310 + 5*b8027*b6311 + 5.5*b8028*b6312 + 5*b8029*b6313 + 5.5*b8030*b6314
       + 5.5*b8031*b6315 + 7.5*b8032*b6316 + 5*b8033*b6317 + 7*b8034*b6318 + 
      7.5*b8035*b6319 + 5*b8036*b6320 + 6.5*b8037*b6321 + 5*b8038*b6322 + 7.5*
      b8039*b6323 + 6*b8040*b6324 + 5.5*b8041*b6325 + 7.5*b8042*b6326 + 7*b8043
      *b6327 + 7*b8044*b6328 + 7.5*b8045*b6329 + 6*b8046*b6330 + 6.5*b8047*
      b6331 + 6.5*b8048*b6332 + 8*b8049*b6333 + 8*b8050*b6334 + 6*b8051*b6335
       + 7*b8052*b6336 + 8*b8053*b6337 + 7.5*b8054*b6338 + 5.5*b8055*b6339 + 
      7.5*b8056*b6340 + 8*b8057*b6341 + 7.5*b8058*b6342 + 7*b8059*b6343 + 6*
      b8060*b6344 + 6*b8061*b6345 + 6*b8062*b6346 + 7.5*b8063*b6347 + 6.5*b8064
      *b6348 + 5*b8065*b6349 + 6*b8066*b6350 + 6.5*b8067*b6351 + 6*b8068*b6352
       + 7*b8069*b6353 + 5*b8070*b6354 + 6*b8071*b6355 + 5.5*b8072*b6356 + 6.5*
      b8073*b6357 + 7.5*b8074*b6358 + 6.5*b8075*b6359 + 7*b8076*b6360 + 8*b8077
      *b6361 + 7.5*b8078*b6362 + 8*b8079*b6363 + 6.5*b8080*b6364 + 7*b8081*
      b6365 + 6.5*b8082*b6366 + 7*b8083*b6367 + 7*b8084*b6368 + 5*b8085*b6369
       + 5*b8086*b6370 + 7*b8087*b6371 + 7*b8088*b6372 + 5.5*b8089*b6373 + 6*
      b8090*b6374 + 7*b8091*b6375 + 6.5*b8092*b6376 + 8*b8093*b6377 + 6*b8094*
      b6378 + 6.5*b8095*b6379 + 7.5*b8096*b6380 + 6.5*b8097*b6381 + 6.5*b8098*
      b6382 + 8*b8099*b6383 + 6*b8100*b6384 + 8*b8101*b6385 + 6*b8102*b6386 + 7
      *b8103*b6387 + 7.5*b8104*b6388 + 6*b8105*b6389 + 7*b8106*b6390 + 8*b8107*
      b6391 + 7*b8108*b6392 + 6.5*b8109*b6393 + 7*b8110*b6394 + 7*b8111*b6395
       + 5*b8112*b6396 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e32.. 5*b6709*b7957 + 6.5*b6710*b7958 + 7.5*b6711*b7959 + 8*b6712*b7960 + 5.5*
      b6713*b7961 + 7*b6714*b7962 + 7*b6715*b7963 + 5.5*b6716*b7964 + 6*b6717*
      b7965 + 7*b6718*b7966 + 5*b6719*b7967 + 7*b6720*b7968 + 8*b6721*b7969 + 7
      *b6722*b7970 + 6*b6723*b7971 + 6.5*b6724*b7972 + 7.5*b6725*b7973 + 6*
      b6726*b7974 + 5.5*b6727*b7975 + 7.5*b6728*b7976 + 6*b6729*b7977 + 5.5*
      b6730*b7978 + 5*b6731*b7979 + 7*b6732*b7980 + 5.5*b6733*b7981 + 7*b6734*
      b7982 + 6.5*b6735*b7983 + 7*b6736*b7984 + 6*b6737*b7985 + 6.5*b6738*b7986
       + 5.5*b6739*b7987 + 8*b6740*b7988 + 8*b6741*b7989 + 6.5*b6742*b7990 + 
      7.5*b6743*b7991 + 6.5*b6744*b7992 + 7.5*b6745*b7993 + 5.5*b6746*b7994 + 
      5.5*b6747*b7995 + 5*b6748*b7996 + 5.5*b6749*b7997 + 7*b6750*b7998 + 8*
      b6751*b7999 + 5.5*b6752*b8000 + 7*b6753*b8001 + 8*b6754*b8002 + 7*b6755*
      b8003 + 8*b6756*b8004 + 6*b6757*b8005 + 7*b6758*b8006 + 7*b6759*b8007 + 
      5.5*b6760*b8008 + 8*b6761*b8009 + 5.5*b6762*b8010 + 6*b6763*b8011 + 6.5*
      b6764*b8012 + 5*b6765*b8013 + 6*b6766*b8014 + 6.5*b6767*b8015 + 6*b6768*
      b8016 + 6*b6769*b8017 + 5*b6770*b8018 + 6*b6771*b8019 + 7*b6772*b8020 + 6
      *b6773*b8021 + 7.5*b6774*b8022 + 6.5*b6775*b8023 + 6.5*b6776*b8024 + 6*
      b6777*b8025 + 6.5*b6778*b8026 + 5*b6779*b8027 + 5.5*b6780*b8028 + 5*b6781
      *b8029 + 5.5*b6782*b8030 + 5.5*b6783*b8031 + 7.5*b6784*b8032 + 5*b6785*
      b8033 + 7*b6786*b8034 + 7.5*b6787*b8035 + 5*b6788*b8036 + 6.5*b6789*b8037
       + 5*b6790*b8038 + 7.5*b6791*b8039 + 6*b6792*b8040 + 5.5*b6793*b8041 + 
      7.5*b6794*b8042 + 7*b6795*b8043 + 7*b6796*b8044 + 7.5*b6797*b8045 + 6*
      b6798*b8046 + 6.5*b6799*b8047 + 6.5*b6800*b8048 + 8*b6801*b8049 + 8*b6802
      *b8050 + 6*b6803*b8051 + 7*b6804*b8052 + 8*b6805*b8053 + 7.5*b6806*b8054
       + 5.5*b6807*b8055 + 7.5*b6808*b8056 + 8*b6809*b8057 + 7.5*b6810*b8058 + 
      7*b6811*b8059 + 6*b6812*b8060 + 6*b6813*b8061 + 6*b6814*b8062 + 7.5*b6815
      *b8063 + 6.5*b6816*b8064 + 5*b6817*b8065 + 6*b6818*b8066 + 6.5*b6819*
      b8067 + 6*b6820*b8068 + 7*b6821*b8069 + 5*b6822*b8070 + 6*b6823*b8071 + 
      5.5*b6824*b8072 + 6.5*b6825*b8073 + 7.5*b6826*b8074 + 6.5*b6827*b8075 + 7
      *b6828*b8076 + 8*b6829*b8077 + 7.5*b6830*b8078 + 8*b6831*b8079 + 6.5*
      b6832*b8080 + 7*b6833*b8081 + 6.5*b6834*b8082 + 7*b6835*b8083 + 7*b6836*
      b8084 + 5*b6837*b8085 + 5*b6838*b8086 + 7*b6839*b8087 + 7*b6840*b8088 + 
      5.5*b6841*b8089 + 6*b6842*b8090 + 7*b6843*b8091 + 6.5*b6844*b8092 + 8*
      b6845*b8093 + 6*b6846*b8094 + 6.5*b6847*b8095 + 7.5*b6848*b8096 + 6.5*
      b6849*b8097 + 6.5*b6850*b8098 + 8*b6851*b8099 + 6*b6852*b8100 + 8*b6853*
      b8101 + 6*b6854*b8102 + 7*b6855*b8103 + 7.5*b6856*b8104 + 6*b6857*b8105
       + 7*b6858*b8106 + 8*b6859*b8107 + 7*b6860*b8108 + 6.5*b6861*b8109 + 7*
      b6862*b8110 + 7*b6863*b8111 + 5*b6864*b8112 + 5*b7957*b6709 + 6.5*b7958*
      b6710 + 7.5*b7959*b6711 + 8*b7960*b6712 + 5.5*b7961*b6713 + 7*b7962*b6714
       + 7*b7963*b6715 + 5.5*b7964*b6716 + 6*b7965*b6717 + 7*b7966*b6718 + 5*
      b7967*b6719 + 7*b7968*b6720 + 8*b7969*b6721 + 7*b7970*b6722 + 6*b7971*
      b6723 + 6.5*b7972*b6724 + 7.5*b7973*b6725 + 6*b7974*b6726 + 5.5*b7975*
      b6727 + 7.5*b7976*b6728 + 6*b7977*b6729 + 5.5*b7978*b6730 + 5*b7979*b6731
       + 7*b7980*b6732 + 5.5*b7981*b6733 + 7*b7982*b6734 + 6.5*b7983*b6735 + 7*
      b7984*b6736 + 6*b7985*b6737 + 6.5*b7986*b6738 + 5.5*b7987*b6739 + 8*b7988
      *b6740 + 8*b7989*b6741 + 6.5*b7990*b6742 + 7.5*b7991*b6743 + 6.5*b7992*
      b6744 + 7.5*b7993*b6745 + 5.5*b7994*b6746 + 5.5*b7995*b6747 + 5*b7996*
      b6748 + 5.5*b7997*b6749 + 7*b7998*b6750 + 8*b7999*b6751 + 5.5*b8000*b6752
       + 7*b8001*b6753 + 8*b8002*b6754 + 7*b8003*b6755 + 8*b8004*b6756 + 6*
      b8005*b6757 + 7*b8006*b6758 + 7*b8007*b6759 + 5.5*b8008*b6760 + 8*b8009*
      b6761 + 5.5*b8010*b6762 + 6*b8011*b6763 + 6.5*b8012*b6764 + 5*b8013*b6765
       + 6*b8014*b6766 + 6.5*b8015*b6767 + 6*b8016*b6768 + 6*b8017*b6769 + 5*
      b8018*b6770 + 6*b8019*b6771 + 7*b8020*b6772 + 6*b8021*b6773 + 7.5*b8022*
      b6774 + 6.5*b8023*b6775 + 6.5*b8024*b6776 + 6*b8025*b6777 + 6.5*b8026*
      b6778 + 5*b8027*b6779 + 5.5*b8028*b6780 + 5*b8029*b6781 + 5.5*b8030*b6782
       + 5.5*b8031*b6783 + 7.5*b8032*b6784 + 5*b8033*b6785 + 7*b8034*b6786 + 
      7.5*b8035*b6787 + 5*b8036*b6788 + 6.5*b8037*b6789 + 5*b8038*b6790 + 7.5*
      b8039*b6791 + 6*b8040*b6792 + 5.5*b8041*b6793 + 7.5*b8042*b6794 + 7*b8043
      *b6795 + 7*b8044*b6796 + 7.5*b8045*b6797 + 6*b8046*b6798 + 6.5*b8047*
      b6799 + 6.5*b8048*b6800 + 8*b8049*b6801 + 8*b8050*b6802 + 6*b8051*b6803
       + 7*b8052*b6804 + 8*b8053*b6805 + 7.5*b8054*b6806 + 5.5*b8055*b6807 + 
      7.5*b8056*b6808 + 8*b8057*b6809 + 7.5*b8058*b6810 + 7*b8059*b6811 + 6*
      b8060*b6812 + 6*b8061*b6813 + 6*b8062*b6814 + 7.5*b8063*b6815 + 6.5*b8064
      *b6816 + 5*b8065*b6817 + 6*b8066*b6818 + 6.5*b8067*b6819 + 6*b8068*b6820
       + 7*b8069*b6821 + 5*b8070*b6822 + 6*b8071*b6823 + 5.5*b8072*b6824 + 6.5*
      b8073*b6825 + 7.5*b8074*b6826 + 6.5*b8075*b6827 + 7*b8076*b6828 + 8*b8077
      *b6829 + 7.5*b8078*b6830 + 8*b8079*b6831 + 6.5*b8080*b6832 + 7*b8081*
      b6833 + 6.5*b8082*b6834 + 7*b8083*b6835 + 7*b8084*b6836 + 5*b8085*b6837
       + 5*b8086*b6838 + 7*b8087*b6839 + 7*b8088*b6840 + 5.5*b8089*b6841 + 6*
      b8090*b6842 + 7*b8091*b6843 + 6.5*b8092*b6844 + 8*b8093*b6845 + 6*b8094*
      b6846 + 6.5*b8095*b6847 + 7.5*b8096*b6848 + 6.5*b8097*b6849 + 6.5*b8098*
      b6850 + 8*b8099*b6851 + 6*b8100*b6852 + 8*b8101*b6853 + 6*b8102*b6854 + 7
      *b8103*b6855 + 7.5*b8104*b6856 + 6*b8105*b6857 + 7*b8106*b6858 + 8*b8107*
      b6859 + 7*b8108*b6860 + 6.5*b8109*b6861 + 7*b8110*b6862 + 7*b8111*b6863
       + 5*b8112*b6864 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e33.. 5*b7489*b7957 + 6.5*b7490*b7958 + 7.5*b7491*b7959 + 8*b7492*b7960 + 5.5*
      b7493*b7961 + 7*b7494*b7962 + 7*b7495*b7963 + 5.5*b7496*b7964 + 6*b7497*
      b7965 + 7*b7498*b7966 + 5*b7499*b7967 + 7*b7500*b7968 + 8*b7501*b7969 + 7
      *b7502*b7970 + 6*b7503*b7971 + 6.5*b7504*b7972 + 7.5*b7505*b7973 + 6*
      b7506*b7974 + 5.5*b7507*b7975 + 7.5*b7508*b7976 + 6*b7509*b7977 + 5.5*
      b7510*b7978 + 5*b7511*b7979 + 7*b7512*b7980 + 5.5*b7513*b7981 + 7*b7514*
      b7982 + 6.5*b7515*b7983 + 7*b7516*b7984 + 6*b7517*b7985 + 6.5*b7518*b7986
       + 5.5*b7519*b7987 + 8*b7520*b7988 + 8*b7521*b7989 + 6.5*b7522*b7990 + 
      7.5*b7523*b7991 + 6.5*b7524*b7992 + 7.5*b7525*b7993 + 5.5*b7526*b7994 + 
      5.5*b7527*b7995 + 5*b7528*b7996 + 5.5*b7529*b7997 + 7*b7530*b7998 + 8*
      b7531*b7999 + 5.5*b7532*b8000 + 7*b7533*b8001 + 8*b7534*b8002 + 7*b7535*
      b8003 + 8*b7536*b8004 + 6*b7537*b8005 + 7*b7538*b8006 + 7*b7539*b8007 + 
      5.5*b7540*b8008 + 8*b7541*b8009 + 5.5*b7542*b8010 + 6*b7543*b8011 + 6.5*
      b7544*b8012 + 5*b7545*b8013 + 6*b7546*b8014 + 6.5*b7547*b8015 + 6*b7548*
      b8016 + 6*b7549*b8017 + 5*b7550*b8018 + 6*b7551*b8019 + 7*b7552*b8020 + 6
      *b7553*b8021 + 7.5*b7554*b8022 + 6.5*b7555*b8023 + 6.5*b7556*b8024 + 6*
      b7557*b8025 + 6.5*b7558*b8026 + 5*b7559*b8027 + 5.5*b7560*b8028 + 5*b7561
      *b8029 + 5.5*b7562*b8030 + 5.5*b7563*b8031 + 7.5*b7564*b8032 + 5*b7565*
      b8033 + 7*b7566*b8034 + 7.5*b7567*b8035 + 5*b7568*b8036 + 6.5*b7569*b8037
       + 5*b7570*b8038 + 7.5*b7571*b8039 + 6*b7572*b8040 + 5.5*b7573*b8041 + 
      7.5*b7574*b8042 + 7*b7575*b8043 + 7*b7576*b8044 + 7.5*b7577*b8045 + 6*
      b7578*b8046 + 6.5*b7579*b8047 + 6.5*b7580*b8048 + 8*b7581*b8049 + 8*b7582
      *b8050 + 6*b7583*b8051 + 7*b7584*b8052 + 8*b7585*b8053 + 7.5*b7586*b8054
       + 5.5*b7587*b8055 + 7.5*b7588*b8056 + 8*b7589*b8057 + 7.5*b7590*b8058 + 
      7*b7591*b8059 + 6*b7592*b8060 + 6*b7593*b8061 + 6*b7594*b8062 + 7.5*b7595
      *b8063 + 6.5*b7596*b8064 + 5*b7597*b8065 + 6*b7598*b8066 + 6.5*b7599*
      b8067 + 6*b7600*b8068 + 7*b7601*b8069 + 5*b7602*b8070 + 6*b7603*b8071 + 
      5.5*b7604*b8072 + 6.5*b7605*b8073 + 7.5*b7606*b8074 + 6.5*b7607*b8075 + 7
      *b7608*b8076 + 8*b7609*b8077 + 7.5*b7610*b8078 + 8*b7611*b8079 + 6.5*
      b7612*b8080 + 7*b7613*b8081 + 6.5*b7614*b8082 + 7*b7615*b8083 + 7*b7616*
      b8084 + 5*b7617*b8085 + 5*b7618*b8086 + 7*b7619*b8087 + 7*b7620*b8088 + 
      5.5*b7621*b8089 + 6*b7622*b8090 + 7*b7623*b8091 + 6.5*b7624*b8092 + 8*
      b7625*b8093 + 6*b7626*b8094 + 6.5*b7627*b8095 + 7.5*b7628*b8096 + 6.5*
      b7629*b8097 + 6.5*b7630*b8098 + 8*b7631*b8099 + 6*b7632*b8100 + 8*b7633*
      b8101 + 6*b7634*b8102 + 7*b7635*b8103 + 7.5*b7636*b8104 + 6*b7637*b8105
       + 7*b7638*b8106 + 8*b7639*b8107 + 7*b7640*b8108 + 6.5*b7641*b8109 + 7*
      b7642*b8110 + 7*b7643*b8111 + 5*b7644*b8112 + 5*b7957*b7489 + 6.5*b7958*
      b7490 + 7.5*b7959*b7491 + 8*b7960*b7492 + 5.5*b7961*b7493 + 7*b7962*b7494
       + 7*b7963*b7495 + 5.5*b7964*b7496 + 6*b7965*b7497 + 7*b7966*b7498 + 5*
      b7967*b7499 + 7*b7968*b7500 + 8*b7969*b7501 + 7*b7970*b7502 + 6*b7971*
      b7503 + 6.5*b7972*b7504 + 7.5*b7973*b7505 + 6*b7974*b7506 + 5.5*b7975*
      b7507 + 7.5*b7976*b7508 + 6*b7977*b7509 + 5.5*b7978*b7510 + 5*b7979*b7511
       + 7*b7980*b7512 + 5.5*b7981*b7513 + 7*b7982*b7514 + 6.5*b7983*b7515 + 7*
      b7984*b7516 + 6*b7985*b7517 + 6.5*b7986*b7518 + 5.5*b7987*b7519 + 8*b7988
      *b7520 + 8*b7989*b7521 + 6.5*b7990*b7522 + 7.5*b7991*b7523 + 6.5*b7992*
      b7524 + 7.5*b7993*b7525 + 5.5*b7994*b7526 + 5.5*b7995*b7527 + 5*b7996*
      b7528 + 5.5*b7997*b7529 + 7*b7998*b7530 + 8*b7999*b7531 + 5.5*b8000*b7532
       + 7*b8001*b7533 + 8*b8002*b7534 + 7*b8003*b7535 + 8*b8004*b7536 + 6*
      b8005*b7537 + 7*b8006*b7538 + 7*b8007*b7539 + 5.5*b8008*b7540 + 8*b8009*
      b7541 + 5.5*b8010*b7542 + 6*b8011*b7543 + 6.5*b8012*b7544 + 5*b8013*b7545
       + 6*b8014*b7546 + 6.5*b8015*b7547 + 6*b8016*b7548 + 6*b8017*b7549 + 5*
      b8018*b7550 + 6*b8019*b7551 + 7*b8020*b7552 + 6*b8021*b7553 + 7.5*b8022*
      b7554 + 6.5*b8023*b7555 + 6.5*b8024*b7556 + 6*b8025*b7557 + 6.5*b8026*
      b7558 + 5*b8027*b7559 + 5.5*b8028*b7560 + 5*b8029*b7561 + 5.5*b8030*b7562
       + 5.5*b8031*b7563 + 7.5*b8032*b7564 + 5*b8033*b7565 + 7*b8034*b7566 + 
      7.5*b8035*b7567 + 5*b8036*b7568 + 6.5*b8037*b7569 + 5*b8038*b7570 + 7.5*
      b8039*b7571 + 6*b8040*b7572 + 5.5*b8041*b7573 + 7.5*b8042*b7574 + 7*b8043
      *b7575 + 7*b8044*b7576 + 7.5*b8045*b7577 + 6*b8046*b7578 + 6.5*b8047*
      b7579 + 6.5*b8048*b7580 + 8*b8049*b7581 + 8*b8050*b7582 + 6*b8051*b7583
       + 7*b8052*b7584 + 8*b8053*b7585 + 7.5*b8054*b7586 + 5.5*b8055*b7587 + 
      7.5*b8056*b7588 + 8*b8057*b7589 + 7.5*b8058*b7590 + 7*b8059*b7591 + 6*
      b8060*b7592 + 6*b8061*b7593 + 6*b8062*b7594 + 7.5*b8063*b7595 + 6.5*b8064
      *b7596 + 5*b8065*b7597 + 6*b8066*b7598 + 6.5*b8067*b7599 + 6*b8068*b7600
       + 7*b8069*b7601 + 5*b8070*b7602 + 6*b8071*b7603 + 5.5*b8072*b7604 + 6.5*
      b8073*b7605 + 7.5*b8074*b7606 + 6.5*b8075*b7607 + 7*b8076*b7608 + 8*b8077
      *b7609 + 7.5*b8078*b7610 + 8*b8079*b7611 + 6.5*b8080*b7612 + 7*b8081*
      b7613 + 6.5*b8082*b7614 + 7*b8083*b7615 + 7*b8084*b7616 + 5*b8085*b7617
       + 5*b8086*b7618 + 7*b8087*b7619 + 7*b8088*b7620 + 5.5*b8089*b7621 + 6*
      b8090*b7622 + 7*b8091*b7623 + 6.5*b8092*b7624 + 8*b8093*b7625 + 6*b8094*
      b7626 + 6.5*b8095*b7627 + 7.5*b8096*b7628 + 6.5*b8097*b7629 + 6.5*b8098*
      b7630 + 8*b8099*b7631 + 6*b8100*b7632 + 8*b8101*b7633 + 6*b8102*b7634 + 7
      *b8103*b7635 + 7.5*b8104*b7636 + 6*b8105*b7637 + 7*b8106*b7638 + 8*b8107*
      b7639 + 7*b8108*b7640 + 6.5*b8109*b7641 + 7*b8110*b7642 + 7*b8111*b7643
       + 5*b8112*b7644 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e34.. 5*b469*b7957 + 6.5*b470*b7958 + 7.5*b471*b7959 + 8*b472*b7960 + 5.5*b473*
      b7961 + 7*b474*b7962 + 7*b475*b7963 + 5.5*b476*b7964 + 6*b477*b7965 + 7*
      b478*b7966 + 5*b479*b7967 + 7*b480*b7968 + 8*b481*b7969 + 7*b482*b7970 + 
      6*b483*b7971 + 6.5*b484*b7972 + 7.5*b485*b7973 + 6*b486*b7974 + 5.5*b487*
      b7975 + 7.5*b488*b7976 + 6*b489*b7977 + 5.5*b490*b7978 + 5*b491*b7979 + 7
      *b492*b7980 + 5.5*b493*b7981 + 7*b494*b7982 + 6.5*b495*b7983 + 7*b496*
      b7984 + 6*b497*b7985 + 6.5*b498*b7986 + 5.5*b499*b7987 + 8*b500*b7988 + 8
      *b501*b7989 + 6.5*b502*b7990 + 7.5*b503*b7991 + 6.5*b504*b7992 + 7.5*b505
      *b7993 + 5.5*b506*b7994 + 5.5*b507*b7995 + 5*b508*b7996 + 5.5*b509*b7997
       + 7*b510*b7998 + 8*b511*b7999 + 5.5*b512*b8000 + 7*b513*b8001 + 8*b514*
      b8002 + 7*b515*b8003 + 8*b516*b8004 + 6*b517*b8005 + 7*b518*b8006 + 7*
      b519*b8007 + 5.5*b520*b8008 + 8*b521*b8009 + 5.5*b522*b8010 + 6*b523*
      b8011 + 6.5*b524*b8012 + 5*b525*b8013 + 6*b526*b8014 + 6.5*b527*b8015 + 6
      *b528*b8016 + 6*b529*b8017 + 5*b530*b8018 + 6*b531*b8019 + 7*b532*b8020
       + 6*b533*b8021 + 7.5*b534*b8022 + 6.5*b535*b8023 + 6.5*b536*b8024 + 6*
      b537*b8025 + 6.5*b538*b8026 + 5*b539*b8027 + 5.5*b540*b8028 + 5*b541*
      b8029 + 5.5*b542*b8030 + 5.5*b543*b8031 + 7.5*b544*b8032 + 5*b545*b8033
       + 7*b546*b8034 + 7.5*b547*b8035 + 5*b548*b8036 + 6.5*b549*b8037 + 5*b550
      *b8038 + 7.5*b551*b8039 + 6*b552*b8040 + 5.5*b553*b8041 + 7.5*b554*b8042
       + 7*b555*b8043 + 7*b556*b8044 + 7.5*b557*b8045 + 6*b558*b8046 + 6.5*b559
      *b8047 + 6.5*b560*b8048 + 8*b561*b8049 + 8*b562*b8050 + 6*b563*b8051 + 7*
      b564*b8052 + 8*b565*b8053 + 7.5*b566*b8054 + 5.5*b567*b8055 + 7.5*b568*
      b8056 + 8*b569*b8057 + 7.5*b570*b8058 + 7*b571*b8059 + 6*b572*b8060 + 6*
      b573*b8061 + 6*b574*b8062 + 7.5*b575*b8063 + 6.5*b576*b8064 + 5*b577*
      b8065 + 6*b578*b8066 + 6.5*b579*b8067 + 6*b580*b8068 + 7*b581*b8069 + 5*
      b582*b8070 + 6*b583*b8071 + 5.5*b584*b8072 + 6.5*b585*b8073 + 7.5*b586*
      b8074 + 6.5*b587*b8075 + 7*b588*b8076 + 8*b589*b8077 + 7.5*b590*b8078 + 8
      *b591*b8079 + 6.5*b592*b8080 + 7*b593*b8081 + 6.5*b594*b8082 + 7*b595*
      b8083 + 7*b596*b8084 + 5*b597*b8085 + 5*b598*b8086 + 7*b599*b8087 + 7*
      b600*b8088 + 5.5*b601*b8089 + 6*b602*b8090 + 7*b603*b8091 + 6.5*b604*
      b8092 + 8*b605*b8093 + 6*b606*b8094 + 6.5*b607*b8095 + 7.5*b608*b8096 + 
      6.5*b609*b8097 + 6.5*b610*b8098 + 8*b611*b8099 + 6*b612*b8100 + 8*b613*
      b8101 + 6*b614*b8102 + 7*b615*b8103 + 7.5*b616*b8104 + 6*b617*b8105 + 7*
      b618*b8106 + 8*b619*b8107 + 7*b620*b8108 + 6.5*b621*b8109 + 7*b622*b8110
       + 7*b623*b8111 + 5*b624*b8112 + 5*b7957*b469 + 6.5*b7958*b470 + 7.5*
      b7959*b471 + 8*b7960*b472 + 5.5*b7961*b473 + 7*b7962*b474 + 7*b7963*b475
       + 5.5*b7964*b476 + 6*b7965*b477 + 7*b7966*b478 + 5*b7967*b479 + 7*b7968*
      b480 + 8*b7969*b481 + 7*b7970*b482 + 6*b7971*b483 + 6.5*b7972*b484 + 7.5*
      b7973*b485 + 6*b7974*b486 + 5.5*b7975*b487 + 7.5*b7976*b488 + 6*b7977*
      b489 + 5.5*b7978*b490 + 5*b7979*b491 + 7*b7980*b492 + 5.5*b7981*b493 + 7*
      b7982*b494 + 6.5*b7983*b495 + 7*b7984*b496 + 6*b7985*b497 + 6.5*b7986*
      b498 + 5.5*b7987*b499 + 8*b7988*b500 + 8*b7989*b501 + 6.5*b7990*b502 + 
      7.5*b7991*b503 + 6.5*b7992*b504 + 7.5*b7993*b505 + 5.5*b7994*b506 + 5.5*
      b7995*b507 + 5*b7996*b508 + 5.5*b7997*b509 + 7*b7998*b510 + 8*b7999*b511
       + 5.5*b8000*b512 + 7*b8001*b513 + 8*b8002*b514 + 7*b8003*b515 + 8*b8004*
      b516 + 6*b8005*b517 + 7*b8006*b518 + 7*b8007*b519 + 5.5*b8008*b520 + 8*
      b8009*b521 + 5.5*b8010*b522 + 6*b8011*b523 + 6.5*b8012*b524 + 5*b8013*
      b525 + 6*b8014*b526 + 6.5*b8015*b527 + 6*b8016*b528 + 6*b8017*b529 + 5*
      b8018*b530 + 6*b8019*b531 + 7*b8020*b532 + 6*b8021*b533 + 7.5*b8022*b534
       + 6.5*b8023*b535 + 6.5*b8024*b536 + 6*b8025*b537 + 6.5*b8026*b538 + 5*
      b8027*b539 + 5.5*b8028*b540 + 5*b8029*b541 + 5.5*b8030*b542 + 5.5*b8031*
      b543 + 7.5*b8032*b544 + 5*b8033*b545 + 7*b8034*b546 + 7.5*b8035*b547 + 5*
      b8036*b548 + 6.5*b8037*b549 + 5*b8038*b550 + 7.5*b8039*b551 + 6*b8040*
      b552 + 5.5*b8041*b553 + 7.5*b8042*b554 + 7*b8043*b555 + 7*b8044*b556 + 
      7.5*b8045*b557 + 6*b8046*b558 + 6.5*b8047*b559 + 6.5*b8048*b560 + 8*b8049
      *b561 + 8*b8050*b562 + 6*b8051*b563 + 7*b8052*b564 + 8*b8053*b565 + 7.5*
      b8054*b566 + 5.5*b8055*b567 + 7.5*b8056*b568 + 8*b8057*b569 + 7.5*b8058*
      b570 + 7*b8059*b571 + 6*b8060*b572 + 6*b8061*b573 + 6*b8062*b574 + 7.5*
      b8063*b575 + 6.5*b8064*b576 + 5*b8065*b577 + 6*b8066*b578 + 6.5*b8067*
      b579 + 6*b8068*b580 + 7*b8069*b581 + 5*b8070*b582 + 6*b8071*b583 + 5.5*
      b8072*b584 + 6.5*b8073*b585 + 7.5*b8074*b586 + 6.5*b8075*b587 + 7*b8076*
      b588 + 8*b8077*b589 + 7.5*b8078*b590 + 8*b8079*b591 + 6.5*b8080*b592 + 7*
      b8081*b593 + 6.5*b8082*b594 + 7*b8083*b595 + 7*b8084*b596 + 5*b8085*b597
       + 5*b8086*b598 + 7*b8087*b599 + 7*b8088*b600 + 5.5*b8089*b601 + 6*b8090*
      b602 + 7*b8091*b603 + 6.5*b8092*b604 + 8*b8093*b605 + 6*b8094*b606 + 6.5*
      b8095*b607 + 7.5*b8096*b608 + 6.5*b8097*b609 + 6.5*b8098*b610 + 8*b8099*
      b611 + 6*b8100*b612 + 8*b8101*b613 + 6*b8102*b614 + 7*b8103*b615 + 7.5*
      b8104*b616 + 6*b8105*b617 + 7*b8106*b618 + 8*b8107*b619 + 7*b8108*b620 + 
      6.5*b8109*b621 + 7*b8110*b622 + 7*b8111*b623 + 5*b8112*b624 + 10*b1
       + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7 + 11*b8 + 12*b9 + 14*b10
       + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15 + 13*b16 + 15*b17 + 12*b18
       + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23 + 14*b24 + 11*b25 + 14*b26
       + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31 + 16*b32 + 16*b33 + 13*b34
       + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39 + 10*b40 + 11*b41 + 14*b42
       + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47 + 16*b48 + 12*b49 + 14*b50
       + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55 + 13*b56 + 10*b57 + 12*b58
       + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63 + 14*b64 + 12*b65 + 15*b66
       + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71 + 11*b72 + 10*b73 + 11*b74
       + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79 + 10*b80 + 13*b81 + 10*b82
       + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87 + 14*b88 + 15*b89 + 12*b90
       + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95 + 14*b96 + 16*b97 + 15*b98
       + 11*b99 + 15*b100 + 16*b101 + 15*b102 + 14*b103 + 12*b104 + 12*b105
       + 12*b106 + 15*b107 + 13*b108 + 10*b109 + 12*b110 + 13*b111 + 12*b112
       + 14*b113 + 10*b114 + 12*b115 + 11*b116 + 13*b117 + 15*b118 + 13*b119
       + 14*b120 + 16*b121 + 15*b122 + 16*b123 + 13*b124 + 14*b125 + 13*b126
       + 14*b127 + 14*b128 + 10*b129 + 10*b130 + 14*b131 + 14*b132 + 11*b133
       + 12*b134 + 14*b135 + 13*b136 + 16*b137 + 12*b138 + 13*b139 + 15*b140
       + 13*b141 + 13*b142 + 16*b143 + 12*b144 + 16*b145 + 12*b146 + 14*b147
       + 15*b148 + 12*b149 + 14*b150 + 16*b151 + 14*b152 + 13*b153 + 14*b154
       + 14*b155 + 10*b156 - x23869 =L= 0;

e35.. 5*b3121*b7957 + 6.5*b3122*b7958 + 7.5*b3123*b7959 + 8*b3124*b7960 + 5.5*
      b3125*b7961 + 7*b3126*b7962 + 7*b3127*b7963 + 5.5*b3128*b7964 + 6*b3129*
      b7965 + 7*b3130*b7966 + 5*b3131*b7967 + 7*b3132*b7968 + 8*b3133*b7969 + 7
      *b3134*b7970 + 6*b3135*b7971 + 6.5*b3136*b7972 + 7.5*b3137*b7973 + 6*
      b3138*b7974 + 5.5*b3139*b7975 + 7.5*b3140*b7976 + 6*b3141*b7977 + 5.5*
      b3142*b7978 + 5*b3143*b7979 + 7*b3144*b7980 + 5.5*b3145*b7981 + 7*b3146*
      b7982 + 6.5*b3147*b7983 + 7*b3148*b7984 + 6*b3149*b7985 + 6.5*b3150*b7986
       + 5.5*b3151*b7987 + 8*b3152*b7988 + 8*b3153*b7989 + 6.5*b3154*b7990 + 
      7.5*b3155*b7991 + 6.5*b3156*b7992 + 7.5*b3157*b7993 + 5.5*b3158*b7994 + 
      5.5*b3159*b7995 + 5*b3160*b7996 + 5.5*b3161*b7997 + 7*b3162*b7998 + 8*
      b3163*b7999 + 5.5*b3164*b8000 + 7*b3165*b8001 + 8*b3166*b8002 + 7*b3167*
      b8003 + 8*b3168*b8004 + 6*b3169*b8005 + 7*b3170*b8006 + 7*b3171*b8007 + 
      5.5*b3172*b8008 + 8*b3173*b8009 + 5.5*b3174*b8010 + 6*b3175*b8011 + 6.5*
      b3176*b8012 + 5*b3177*b8013 + 6*b3178*b8014 + 6.5*b3179*b8015 + 6*b3180*
      b8016 + 6*b3181*b8017 + 5*b3182*b8018 + 6*b3183*b8019 + 7*b3184*b8020 + 6
      *b3185*b8021 + 7.5*b3186*b8022 + 6.5*b3187*b8023 + 6.5*b3188*b8024 + 6*
      b3189*b8025 + 6.5*b3190*b8026 + 5*b3191*b8027 + 5.5*b3192*b8028 + 5*b3193
      *b8029 + 5.5*b3194*b8030 + 5.5*b3195*b8031 + 7.5*b3196*b8032 + 5*b3197*
      b8033 + 7*b3198*b8034 + 7.5*b3199*b8035 + 5*b3200*b8036 + 6.5*b3201*b8037
       + 5*b3202*b8038 + 7.5*b3203*b8039 + 6*b3204*b8040 + 5.5*b3205*b8041 + 
      7.5*b3206*b8042 + 7*b3207*b8043 + 7*b3208*b8044 + 7.5*b3209*b8045 + 6*
      b3210*b8046 + 6.5*b3211*b8047 + 6.5*b3212*b8048 + 8*b3213*b8049 + 8*b3214
      *b8050 + 6*b3215*b8051 + 7*b3216*b8052 + 8*b3217*b8053 + 7.5*b3218*b8054
       + 5.5*b3219*b8055 + 7.5*b3220*b8056 + 8*b3221*b8057 + 7.5*b3222*b8058 + 
      7*b3223*b8059 + 6*b3224*b8060 + 6*b3225*b8061 + 6*b3226*b8062 + 7.5*b3227
      *b8063 + 6.5*b3228*b8064 + 5*b3229*b8065 + 6*b3230*b8066 + 6.5*b3231*
      b8067 + 6*b3232*b8068 + 7*b3233*b8069 + 5*b3234*b8070 + 6*b3235*b8071 + 
      5.5*b3236*b8072 + 6.5*b3237*b8073 + 7.5*b3238*b8074 + 6.5*b3239*b8075 + 7
      *b3240*b8076 + 8*b3241*b8077 + 7.5*b3242*b8078 + 8*b3243*b8079 + 6.5*
      b3244*b8080 + 7*b3245*b8081 + 6.5*b3246*b8082 + 7*b3247*b8083 + 7*b3248*
      b8084 + 5*b3249*b8085 + 5*b3250*b8086 + 7*b3251*b8087 + 7*b3252*b8088 + 
      5.5*b3253*b8089 + 6*b3254*b8090 + 7*b3255*b8091 + 6.5*b3256*b8092 + 8*
      b3257*b8093 + 6*b3258*b8094 + 6.5*b3259*b8095 + 7.5*b3260*b8096 + 6.5*
      b3261*b8097 + 6.5*b3262*b8098 + 8*b3263*b8099 + 6*b3264*b8100 + 8*b3265*
      b8101 + 6*b3266*b8102 + 7*b3267*b8103 + 7.5*b3268*b8104 + 6*b3269*b8105
       + 7*b3270*b8106 + 8*b3271*b8107 + 7*b3272*b8108 + 6.5*b3273*b8109 + 7*
      b3274*b8110 + 7*b3275*b8111 + 5*b3276*b8112 + 5*b7957*b3121 + 6.5*b7958*
      b3122 + 7.5*b7959*b3123 + 8*b7960*b3124 + 5.5*b7961*b3125 + 7*b7962*b3126
       + 7*b7963*b3127 + 5.5*b7964*b3128 + 6*b7965*b3129 + 7*b7966*b3130 + 5*
      b7967*b3131 + 7*b7968*b3132 + 8*b7969*b3133 + 7*b7970*b3134 + 6*b7971*
      b3135 + 6.5*b7972*b3136 + 7.5*b7973*b3137 + 6*b7974*b3138 + 5.5*b7975*
      b3139 + 7.5*b7976*b3140 + 6*b7977*b3141 + 5.5*b7978*b3142 + 5*b7979*b3143
       + 7*b7980*b3144 + 5.5*b7981*b3145 + 7*b7982*b3146 + 6.5*b7983*b3147 + 7*
      b7984*b3148 + 6*b7985*b3149 + 6.5*b7986*b3150 + 5.5*b7987*b3151 + 8*b7988
      *b3152 + 8*b7989*b3153 + 6.5*b7990*b3154 + 7.5*b7991*b3155 + 6.5*b7992*
      b3156 + 7.5*b7993*b3157 + 5.5*b7994*b3158 + 5.5*b7995*b3159 + 5*b7996*
      b3160 + 5.5*b7997*b3161 + 7*b7998*b3162 + 8*b7999*b3163 + 5.5*b8000*b3164
       + 7*b8001*b3165 + 8*b8002*b3166 + 7*b8003*b3167 + 8*b8004*b3168 + 6*
      b8005*b3169 + 7*b8006*b3170 + 7*b8007*b3171 + 5.5*b8008*b3172 + 8*b8009*
      b3173 + 5.5*b8010*b3174 + 6*b8011*b3175 + 6.5*b8012*b3176 + 5*b8013*b3177
       + 6*b8014*b3178 + 6.5*b8015*b3179 + 6*b8016*b3180 + 6*b8017*b3181 + 5*
      b8018*b3182 + 6*b8019*b3183 + 7*b8020*b3184 + 6*b8021*b3185 + 7.5*b8022*
      b3186 + 6.5*b8023*b3187 + 6.5*b8024*b3188 + 6*b8025*b3189 + 6.5*b8026*
      b3190 + 5*b8027*b3191 + 5.5*b8028*b3192 + 5*b8029*b3193 + 5.5*b8030*b3194
       + 5.5*b8031*b3195 + 7.5*b8032*b3196 + 5*b8033*b3197 + 7*b8034*b3198 + 
      7.5*b8035*b3199 + 5*b8036*b3200 + 6.5*b8037*b3201 + 5*b8038*b3202 + 7.5*
      b8039*b3203 + 6*b8040*b3204 + 5.5*b8041*b3205 + 7.5*b8042*b3206 + 7*b8043
      *b3207 + 7*b8044*b3208 + 7.5*b8045*b3209 + 6*b8046*b3210 + 6.5*b8047*
      b3211 + 6.5*b8048*b3212 + 8*b8049*b3213 + 8*b8050*b3214 + 6*b8051*b3215
       + 7*b8052*b3216 + 8*b8053*b3217 + 7.5*b8054*b3218 + 5.5*b8055*b3219 + 
      7.5*b8056*b3220 + 8*b8057*b3221 + 7.5*b8058*b3222 + 7*b8059*b3223 + 6*
      b8060*b3224 + 6*b8061*b3225 + 6*b8062*b3226 + 7.5*b8063*b3227 + 6.5*b8064
      *b3228 + 5*b8065*b3229 + 6*b8066*b3230 + 6.5*b8067*b3231 + 6*b8068*b3232
       + 7*b8069*b3233 + 5*b8070*b3234 + 6*b8071*b3235 + 5.5*b8072*b3236 + 6.5*
      b8073*b3237 + 7.5*b8074*b3238 + 6.5*b8075*b3239 + 7*b8076*b3240 + 8*b8077
      *b3241 + 7.5*b8078*b3242 + 8*b8079*b3243 + 6.5*b8080*b3244 + 7*b8081*
      b3245 + 6.5*b8082*b3246 + 7*b8083*b3247 + 7*b8084*b3248 + 5*b8085*b3249
       + 5*b8086*b3250 + 7*b8087*b3251 + 7*b8088*b3252 + 5.5*b8089*b3253 + 6*
      b8090*b3254 + 7*b8091*b3255 + 6.5*b8092*b3256 + 8*b8093*b3257 + 6*b8094*
      b3258 + 6.5*b8095*b3259 + 7.5*b8096*b3260 + 6.5*b8097*b3261 + 6.5*b8098*
      b3262 + 8*b8099*b3263 + 6*b8100*b3264 + 8*b8101*b3265 + 6*b8102*b3266 + 7
      *b8103*b3267 + 7.5*b8104*b3268 + 6*b8105*b3269 + 7*b8106*b3270 + 8*b8107*
      b3271 + 7*b8108*b3272 + 6.5*b8109*b3273 + 7*b8110*b3274 + 7*b8111*b3275
       + 5*b8112*b3276 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e36.. 5*b5305*b7957 + 6.5*b5306*b7958 + 7.5*b5307*b7959 + 8*b5308*b7960 + 5.5*
      b5309*b7961 + 7*b5310*b7962 + 7*b5311*b7963 + 5.5*b5312*b7964 + 6*b5313*
      b7965 + 7*b5314*b7966 + 5*b5315*b7967 + 7*b5316*b7968 + 8*b5317*b7969 + 7
      *b5318*b7970 + 6*b5319*b7971 + 6.5*b5320*b7972 + 7.5*b5321*b7973 + 6*
      b5322*b7974 + 5.5*b5323*b7975 + 7.5*b5324*b7976 + 6*b5325*b7977 + 5.5*
      b5326*b7978 + 5*b5327*b7979 + 7*b5328*b7980 + 5.5*b5329*b7981 + 7*b5330*
      b7982 + 6.5*b5331*b7983 + 7*b5332*b7984 + 6*b5333*b7985 + 6.5*b5334*b7986
       + 5.5*b5335*b7987 + 8*b5336*b7988 + 8*b5337*b7989 + 6.5*b5338*b7990 + 
      7.5*b5339*b7991 + 6.5*b5340*b7992 + 7.5*b5341*b7993 + 5.5*b5342*b7994 + 
      5.5*b5343*b7995 + 5*b5344*b7996 + 5.5*b5345*b7997 + 7*b5346*b7998 + 8*
      b5347*b7999 + 5.5*b5348*b8000 + 7*b5349*b8001 + 8*b5350*b8002 + 7*b5351*
      b8003 + 8*b5352*b8004 + 6*b5353*b8005 + 7*b5354*b8006 + 7*b5355*b8007 + 
      5.5*b5356*b8008 + 8*b5357*b8009 + 5.5*b5358*b8010 + 6*b5359*b8011 + 6.5*
      b5360*b8012 + 5*b5361*b8013 + 6*b5362*b8014 + 6.5*b5363*b8015 + 6*b5364*
      b8016 + 6*b5365*b8017 + 5*b5366*b8018 + 6*b5367*b8019 + 7*b5368*b8020 + 6
      *b5369*b8021 + 7.5*b5370*b8022 + 6.5*b5371*b8023 + 6.5*b5372*b8024 + 6*
      b5373*b8025 + 6.5*b5374*b8026 + 5*b5375*b8027 + 5.5*b5376*b8028 + 5*b5377
      *b8029 + 5.5*b5378*b8030 + 5.5*b5379*b8031 + 7.5*b5380*b8032 + 5*b5381*
      b8033 + 7*b5382*b8034 + 7.5*b5383*b8035 + 5*b5384*b8036 + 6.5*b5385*b8037
       + 5*b5386*b8038 + 7.5*b5387*b8039 + 6*b5388*b8040 + 5.5*b5389*b8041 + 
      7.5*b5390*b8042 + 7*b5391*b8043 + 7*b5392*b8044 + 7.5*b5393*b8045 + 6*
      b5394*b8046 + 6.5*b5395*b8047 + 6.5*b5396*b8048 + 8*b5397*b8049 + 8*b5398
      *b8050 + 6*b5399*b8051 + 7*b5400*b8052 + 8*b5401*b8053 + 7.5*b5402*b8054
       + 5.5*b5403*b8055 + 7.5*b5404*b8056 + 8*b5405*b8057 + 7.5*b5406*b8058 + 
      7*b5407*b8059 + 6*b5408*b8060 + 6*b5409*b8061 + 6*b5410*b8062 + 7.5*b5411
      *b8063 + 6.5*b5412*b8064 + 5*b5413*b8065 + 6*b5414*b8066 + 6.5*b5415*
      b8067 + 6*b5416*b8068 + 7*b5417*b8069 + 5*b5418*b8070 + 6*b5419*b8071 + 
      5.5*b5420*b8072 + 6.5*b5421*b8073 + 7.5*b5422*b8074 + 6.5*b5423*b8075 + 7
      *b5424*b8076 + 8*b5425*b8077 + 7.5*b5426*b8078 + 8*b5427*b8079 + 6.5*
      b5428*b8080 + 7*b5429*b8081 + 6.5*b5430*b8082 + 7*b5431*b8083 + 7*b5432*
      b8084 + 5*b5433*b8085 + 5*b5434*b8086 + 7*b5435*b8087 + 7*b5436*b8088 + 
      5.5*b5437*b8089 + 6*b5438*b8090 + 7*b5439*b8091 + 6.5*b5440*b8092 + 8*
      b5441*b8093 + 6*b5442*b8094 + 6.5*b5443*b8095 + 7.5*b5444*b8096 + 6.5*
      b5445*b8097 + 6.5*b5446*b8098 + 8*b5447*b8099 + 6*b5448*b8100 + 8*b5449*
      b8101 + 6*b5450*b8102 + 7*b5451*b8103 + 7.5*b5452*b8104 + 6*b5453*b8105
       + 7*b5454*b8106 + 8*b5455*b8107 + 7*b5456*b8108 + 6.5*b5457*b8109 + 7*
      b5458*b8110 + 7*b5459*b8111 + 5*b5460*b8112 + 5*b7957*b5305 + 6.5*b7958*
      b5306 + 7.5*b7959*b5307 + 8*b7960*b5308 + 5.5*b7961*b5309 + 7*b7962*b5310
       + 7*b7963*b5311 + 5.5*b7964*b5312 + 6*b7965*b5313 + 7*b7966*b5314 + 5*
      b7967*b5315 + 7*b7968*b5316 + 8*b7969*b5317 + 7*b7970*b5318 + 6*b7971*
      b5319 + 6.5*b7972*b5320 + 7.5*b7973*b5321 + 6*b7974*b5322 + 5.5*b7975*
      b5323 + 7.5*b7976*b5324 + 6*b7977*b5325 + 5.5*b7978*b5326 + 5*b7979*b5327
       + 7*b7980*b5328 + 5.5*b7981*b5329 + 7*b7982*b5330 + 6.5*b7983*b5331 + 7*
      b7984*b5332 + 6*b7985*b5333 + 6.5*b7986*b5334 + 5.5*b7987*b5335 + 8*b7988
      *b5336 + 8*b7989*b5337 + 6.5*b7990*b5338 + 7.5*b7991*b5339 + 6.5*b7992*
      b5340 + 7.5*b7993*b5341 + 5.5*b7994*b5342 + 5.5*b7995*b5343 + 5*b7996*
      b5344 + 5.5*b7997*b5345 + 7*b7998*b5346 + 8*b7999*b5347 + 5.5*b8000*b5348
       + 7*b8001*b5349 + 8*b8002*b5350 + 7*b8003*b5351 + 8*b8004*b5352 + 6*
      b8005*b5353 + 7*b8006*b5354 + 7*b8007*b5355 + 5.5*b8008*b5356 + 8*b8009*
      b5357 + 5.5*b8010*b5358 + 6*b8011*b5359 + 6.5*b8012*b5360 + 5*b8013*b5361
       + 6*b8014*b5362 + 6.5*b8015*b5363 + 6*b8016*b5364 + 6*b8017*b5365 + 5*
      b8018*b5366 + 6*b8019*b5367 + 7*b8020*b5368 + 6*b8021*b5369 + 7.5*b8022*
      b5370 + 6.5*b8023*b5371 + 6.5*b8024*b5372 + 6*b8025*b5373 + 6.5*b8026*
      b5374 + 5*b8027*b5375 + 5.5*b8028*b5376 + 5*b8029*b5377 + 5.5*b8030*b5378
       + 5.5*b8031*b5379 + 7.5*b8032*b5380 + 5*b8033*b5381 + 7*b8034*b5382 + 
      7.5*b8035*b5383 + 5*b8036*b5384 + 6.5*b8037*b5385 + 5*b8038*b5386 + 7.5*
      b8039*b5387 + 6*b8040*b5388 + 5.5*b8041*b5389 + 7.5*b8042*b5390 + 7*b8043
      *b5391 + 7*b8044*b5392 + 7.5*b8045*b5393 + 6*b8046*b5394 + 6.5*b8047*
      b5395 + 6.5*b8048*b5396 + 8*b8049*b5397 + 8*b8050*b5398 + 6*b8051*b5399
       + 7*b8052*b5400 + 8*b8053*b5401 + 7.5*b8054*b5402 + 5.5*b8055*b5403 + 
      7.5*b8056*b5404 + 8*b8057*b5405 + 7.5*b8058*b5406 + 7*b8059*b5407 + 6*
      b8060*b5408 + 6*b8061*b5409 + 6*b8062*b5410 + 7.5*b8063*b5411 + 6.5*b8064
      *b5412 + 5*b8065*b5413 + 6*b8066*b5414 + 6.5*b8067*b5415 + 6*b8068*b5416
       + 7*b8069*b5417 + 5*b8070*b5418 + 6*b8071*b5419 + 5.5*b8072*b5420 + 6.5*
      b8073*b5421 + 7.5*b8074*b5422 + 6.5*b8075*b5423 + 7*b8076*b5424 + 8*b8077
      *b5425 + 7.5*b8078*b5426 + 8*b8079*b5427 + 6.5*b8080*b5428 + 7*b8081*
      b5429 + 6.5*b8082*b5430 + 7*b8083*b5431 + 7*b8084*b5432 + 5*b8085*b5433
       + 5*b8086*b5434 + 7*b8087*b5435 + 7*b8088*b5436 + 5.5*b8089*b5437 + 6*
      b8090*b5438 + 7*b8091*b5439 + 6.5*b8092*b5440 + 8*b8093*b5441 + 6*b8094*
      b5442 + 6.5*b8095*b5443 + 7.5*b8096*b5444 + 6.5*b8097*b5445 + 6.5*b8098*
      b5446 + 8*b8099*b5447 + 6*b8100*b5448 + 8*b8101*b5449 + 6*b8102*b5450 + 7
      *b8103*b5451 + 7.5*b8104*b5452 + 6*b8105*b5453 + 7*b8106*b5454 + 8*b8107*
      b5455 + 7*b8108*b5456 + 6.5*b8109*b5457 + 7*b8110*b5458 + 7*b8111*b5459
       + 5*b8112*b5460 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e37.. 5*b7645*b7957 + 6.5*b7646*b7958 + 7.5*b7647*b7959 + 8*b7648*b7960 + 5.5*
      b7649*b7961 + 7*b7650*b7962 + 7*b7651*b7963 + 5.5*b7652*b7964 + 6*b7653*
      b7965 + 7*b7654*b7966 + 5*b7655*b7967 + 7*b7656*b7968 + 8*b7657*b7969 + 7
      *b7658*b7970 + 6*b7659*b7971 + 6.5*b7660*b7972 + 7.5*b7661*b7973 + 6*
      b7662*b7974 + 5.5*b7663*b7975 + 7.5*b7664*b7976 + 6*b7665*b7977 + 5.5*
      b7666*b7978 + 5*b7667*b7979 + 7*b7668*b7980 + 5.5*b7669*b7981 + 7*b7670*
      b7982 + 6.5*b7671*b7983 + 7*b7672*b7984 + 6*b7673*b7985 + 6.5*b7674*b7986
       + 5.5*b7675*b7987 + 8*b7676*b7988 + 8*b7677*b7989 + 6.5*b7678*b7990 + 
      7.5*b7679*b7991 + 6.5*b7680*b7992 + 7.5*b7681*b7993 + 5.5*b7682*b7994 + 
      5.5*b7683*b7995 + 5*b7684*b7996 + 5.5*b7685*b7997 + 7*b7686*b7998 + 8*
      b7687*b7999 + 5.5*b7688*b8000 + 7*b7689*b8001 + 8*b7690*b8002 + 7*b7691*
      b8003 + 8*b7692*b8004 + 6*b7693*b8005 + 7*b7694*b8006 + 7*b7695*b8007 + 
      5.5*b7696*b8008 + 8*b7697*b8009 + 5.5*b7698*b8010 + 6*b7699*b8011 + 6.5*
      b7700*b8012 + 5*b7701*b8013 + 6*b7702*b8014 + 6.5*b7703*b8015 + 6*b7704*
      b8016 + 6*b7705*b8017 + 5*b7706*b8018 + 6*b7707*b8019 + 7*b7708*b8020 + 6
      *b7709*b8021 + 7.5*b7710*b8022 + 6.5*b7711*b8023 + 6.5*b7712*b8024 + 6*
      b7713*b8025 + 6.5*b7714*b8026 + 5*b7715*b8027 + 5.5*b7716*b8028 + 5*b7717
      *b8029 + 5.5*b7718*b8030 + 5.5*b7719*b8031 + 7.5*b7720*b8032 + 5*b7721*
      b8033 + 7*b7722*b8034 + 7.5*b7723*b8035 + 5*b7724*b8036 + 6.5*b7725*b8037
       + 5*b7726*b8038 + 7.5*b7727*b8039 + 6*b7728*b8040 + 5.5*b7729*b8041 + 
      7.5*b7730*b8042 + 7*b7731*b8043 + 7*b7732*b8044 + 7.5*b7733*b8045 + 6*
      b7734*b8046 + 6.5*b7735*b8047 + 6.5*b7736*b8048 + 8*b7737*b8049 + 8*b7738
      *b8050 + 6*b7739*b8051 + 7*b7740*b8052 + 8*b7741*b8053 + 7.5*b7742*b8054
       + 5.5*b7743*b8055 + 7.5*b7744*b8056 + 8*b7745*b8057 + 7.5*b7746*b8058 + 
      7*b7747*b8059 + 6*b7748*b8060 + 6*b7749*b8061 + 6*b7750*b8062 + 7.5*b7751
      *b8063 + 6.5*b7752*b8064 + 5*b7753*b8065 + 6*b7754*b8066 + 6.5*b7755*
      b8067 + 6*b7756*b8068 + 7*b7757*b8069 + 5*b7758*b8070 + 6*b7759*b8071 + 
      5.5*b7760*b8072 + 6.5*b7761*b8073 + 7.5*b7762*b8074 + 6.5*b7763*b8075 + 7
      *b7764*b8076 + 8*b7765*b8077 + 7.5*b7766*b8078 + 8*b7767*b8079 + 6.5*
      b7768*b8080 + 7*b7769*b8081 + 6.5*b7770*b8082 + 7*b7771*b8083 + 7*b7772*
      b8084 + 5*b7773*b8085 + 5*b7774*b8086 + 7*b7775*b8087 + 7*b7776*b8088 + 
      5.5*b7777*b8089 + 6*b7778*b8090 + 7*b7779*b8091 + 6.5*b7780*b8092 + 8*
      b7781*b8093 + 6*b7782*b8094 + 6.5*b7783*b8095 + 7.5*b7784*b8096 + 6.5*
      b7785*b8097 + 6.5*b7786*b8098 + 8*b7787*b8099 + 6*b7788*b8100 + 8*b7789*
      b8101 + 6*b7790*b8102 + 7*b7791*b8103 + 7.5*b7792*b8104 + 6*b7793*b8105
       + 7*b7794*b8106 + 8*b7795*b8107 + 7*b7796*b8108 + 6.5*b7797*b8109 + 7*
      b7798*b8110 + 7*b7799*b8111 + 5*b7800*b8112 + 5*b7957*b7645 + 6.5*b7958*
      b7646 + 7.5*b7959*b7647 + 8*b7960*b7648 + 5.5*b7961*b7649 + 7*b7962*b7650
       + 7*b7963*b7651 + 5.5*b7964*b7652 + 6*b7965*b7653 + 7*b7966*b7654 + 5*
      b7967*b7655 + 7*b7968*b7656 + 8*b7969*b7657 + 7*b7970*b7658 + 6*b7971*
      b7659 + 6.5*b7972*b7660 + 7.5*b7973*b7661 + 6*b7974*b7662 + 5.5*b7975*
      b7663 + 7.5*b7976*b7664 + 6*b7977*b7665 + 5.5*b7978*b7666 + 5*b7979*b7667
       + 7*b7980*b7668 + 5.5*b7981*b7669 + 7*b7982*b7670 + 6.5*b7983*b7671 + 7*
      b7984*b7672 + 6*b7985*b7673 + 6.5*b7986*b7674 + 5.5*b7987*b7675 + 8*b7988
      *b7676 + 8*b7989*b7677 + 6.5*b7990*b7678 + 7.5*b7991*b7679 + 6.5*b7992*
      b7680 + 7.5*b7993*b7681 + 5.5*b7994*b7682 + 5.5*b7995*b7683 + 5*b7996*
      b7684 + 5.5*b7997*b7685 + 7*b7998*b7686 + 8*b7999*b7687 + 5.5*b8000*b7688
       + 7*b8001*b7689 + 8*b8002*b7690 + 7*b8003*b7691 + 8*b8004*b7692 + 6*
      b8005*b7693 + 7*b8006*b7694 + 7*b8007*b7695 + 5.5*b8008*b7696 + 8*b8009*
      b7697 + 5.5*b8010*b7698 + 6*b8011*b7699 + 6.5*b8012*b7700 + 5*b8013*b7701
       + 6*b8014*b7702 + 6.5*b8015*b7703 + 6*b8016*b7704 + 6*b8017*b7705 + 5*
      b8018*b7706 + 6*b8019*b7707 + 7*b8020*b7708 + 6*b8021*b7709 + 7.5*b8022*
      b7710 + 6.5*b8023*b7711 + 6.5*b8024*b7712 + 6*b8025*b7713 + 6.5*b8026*
      b7714 + 5*b8027*b7715 + 5.5*b8028*b7716 + 5*b8029*b7717 + 5.5*b8030*b7718
       + 5.5*b8031*b7719 + 7.5*b8032*b7720 + 5*b8033*b7721 + 7*b8034*b7722 + 
      7.5*b8035*b7723 + 5*b8036*b7724 + 6.5*b8037*b7725 + 5*b8038*b7726 + 7.5*
      b8039*b7727 + 6*b8040*b7728 + 5.5*b8041*b7729 + 7.5*b8042*b7730 + 7*b8043
      *b7731 + 7*b8044*b7732 + 7.5*b8045*b7733 + 6*b8046*b7734 + 6.5*b8047*
      b7735 + 6.5*b8048*b7736 + 8*b8049*b7737 + 8*b8050*b7738 + 6*b8051*b7739
       + 7*b8052*b7740 + 8*b8053*b7741 + 7.5*b8054*b7742 + 5.5*b8055*b7743 + 
      7.5*b8056*b7744 + 8*b8057*b7745 + 7.5*b8058*b7746 + 7*b8059*b7747 + 6*
      b8060*b7748 + 6*b8061*b7749 + 6*b8062*b7750 + 7.5*b8063*b7751 + 6.5*b8064
      *b7752 + 5*b8065*b7753 + 6*b8066*b7754 + 6.5*b8067*b7755 + 6*b8068*b7756
       + 7*b8069*b7757 + 5*b8070*b7758 + 6*b8071*b7759 + 5.5*b8072*b7760 + 6.5*
      b8073*b7761 + 7.5*b8074*b7762 + 6.5*b8075*b7763 + 7*b8076*b7764 + 8*b8077
      *b7765 + 7.5*b8078*b7766 + 8*b8079*b7767 + 6.5*b8080*b7768 + 7*b8081*
      b7769 + 6.5*b8082*b7770 + 7*b8083*b7771 + 7*b8084*b7772 + 5*b8085*b7773
       + 5*b8086*b7774 + 7*b8087*b7775 + 7*b8088*b7776 + 5.5*b8089*b7777 + 6*
      b8090*b7778 + 7*b8091*b7779 + 6.5*b8092*b7780 + 8*b8093*b7781 + 6*b8094*
      b7782 + 6.5*b8095*b7783 + 7.5*b8096*b7784 + 6.5*b8097*b7785 + 6.5*b8098*
      b7786 + 8*b8099*b7787 + 6*b8100*b7788 + 8*b8101*b7789 + 6*b8102*b7790 + 7
      *b8103*b7791 + 7.5*b8104*b7792 + 6*b8105*b7793 + 7*b8106*b7794 + 8*b8107*
      b7795 + 7*b8108*b7796 + 6.5*b8109*b7797 + 7*b8110*b7798 + 7*b8111*b7799
       + 5*b8112*b7800 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e38.. 5*b625*b7957 + 6.5*b626*b7958 + 7.5*b627*b7959 + 8*b628*b7960 + 5.5*b629*
      b7961 + 7*b630*b7962 + 7*b631*b7963 + 5.5*b632*b7964 + 6*b633*b7965 + 7*
      b634*b7966 + 5*b635*b7967 + 7*b636*b7968 + 8*b637*b7969 + 7*b638*b7970 + 
      6*b639*b7971 + 6.5*b640*b7972 + 7.5*b641*b7973 + 6*b642*b7974 + 5.5*b643*
      b7975 + 7.5*b644*b7976 + 6*b645*b7977 + 5.5*b646*b7978 + 5*b647*b7979 + 7
      *b648*b7980 + 5.5*b649*b7981 + 7*b650*b7982 + 6.5*b651*b7983 + 7*b652*
      b7984 + 6*b653*b7985 + 6.5*b654*b7986 + 5.5*b655*b7987 + 8*b656*b7988 + 8
      *b657*b7989 + 6.5*b658*b7990 + 7.5*b659*b7991 + 6.5*b660*b7992 + 7.5*b661
      *b7993 + 5.5*b662*b7994 + 5.5*b663*b7995 + 5*b664*b7996 + 5.5*b665*b7997
       + 7*b666*b7998 + 8*b667*b7999 + 5.5*b668*b8000 + 7*b669*b8001 + 8*b670*
      b8002 + 7*b671*b8003 + 8*b672*b8004 + 6*b673*b8005 + 7*b674*b8006 + 7*
      b675*b8007 + 5.5*b676*b8008 + 8*b677*b8009 + 5.5*b678*b8010 + 6*b679*
      b8011 + 6.5*b680*b8012 + 5*b681*b8013 + 6*b682*b8014 + 6.5*b683*b8015 + 6
      *b684*b8016 + 6*b685*b8017 + 5*b686*b8018 + 6*b687*b8019 + 7*b688*b8020
       + 6*b689*b8021 + 7.5*b690*b8022 + 6.5*b691*b8023 + 6.5*b692*b8024 + 6*
      b693*b8025 + 6.5*b694*b8026 + 5*b695*b8027 + 5.5*b696*b8028 + 5*b697*
      b8029 + 5.5*b698*b8030 + 5.5*b699*b8031 + 7.5*b700*b8032 + 5*b701*b8033
       + 7*b702*b8034 + 7.5*b703*b8035 + 5*b704*b8036 + 6.5*b705*b8037 + 5*b706
      *b8038 + 7.5*b707*b8039 + 6*b708*b8040 + 5.5*b709*b8041 + 7.5*b710*b8042
       + 7*b711*b8043 + 7*b712*b8044 + 7.5*b713*b8045 + 6*b714*b8046 + 6.5*b715
      *b8047 + 6.5*b716*b8048 + 8*b717*b8049 + 8*b718*b8050 + 6*b719*b8051 + 7*
      b720*b8052 + 8*b721*b8053 + 7.5*b722*b8054 + 5.5*b723*b8055 + 7.5*b724*
      b8056 + 8*b725*b8057 + 7.5*b726*b8058 + 7*b727*b8059 + 6*b728*b8060 + 6*
      b729*b8061 + 6*b730*b8062 + 7.5*b731*b8063 + 6.5*b732*b8064 + 5*b733*
      b8065 + 6*b734*b8066 + 6.5*b735*b8067 + 6*b736*b8068 + 7*b737*b8069 + 5*
      b738*b8070 + 6*b739*b8071 + 5.5*b740*b8072 + 6.5*b741*b8073 + 7.5*b742*
      b8074 + 6.5*b743*b8075 + 7*b744*b8076 + 8*b745*b8077 + 7.5*b746*b8078 + 8
      *b747*b8079 + 6.5*b748*b8080 + 7*b749*b8081 + 6.5*b750*b8082 + 7*b751*
      b8083 + 7*b752*b8084 + 5*b753*b8085 + 5*b754*b8086 + 7*b755*b8087 + 7*
      b756*b8088 + 5.5*b757*b8089 + 6*b758*b8090 + 7*b759*b8091 + 6.5*b760*
      b8092 + 8*b761*b8093 + 6*b762*b8094 + 6.5*b763*b8095 + 7.5*b764*b8096 + 
      6.5*b765*b8097 + 6.5*b766*b8098 + 8*b767*b8099 + 6*b768*b8100 + 8*b769*
      b8101 + 6*b770*b8102 + 7*b771*b8103 + 7.5*b772*b8104 + 6*b773*b8105 + 7*
      b774*b8106 + 8*b775*b8107 + 7*b776*b8108 + 6.5*b777*b8109 + 7*b778*b8110
       + 7*b779*b8111 + 5*b780*b8112 + 5*b7957*b625 + 6.5*b7958*b626 + 7.5*
      b7959*b627 + 8*b7960*b628 + 5.5*b7961*b629 + 7*b7962*b630 + 7*b7963*b631
       + 5.5*b7964*b632 + 6*b7965*b633 + 7*b7966*b634 + 5*b7967*b635 + 7*b7968*
      b636 + 8*b7969*b637 + 7*b7970*b638 + 6*b7971*b639 + 6.5*b7972*b640 + 7.5*
      b7973*b641 + 6*b7974*b642 + 5.5*b7975*b643 + 7.5*b7976*b644 + 6*b7977*
      b645 + 5.5*b7978*b646 + 5*b7979*b647 + 7*b7980*b648 + 5.5*b7981*b649 + 7*
      b7982*b650 + 6.5*b7983*b651 + 7*b7984*b652 + 6*b7985*b653 + 6.5*b7986*
      b654 + 5.5*b7987*b655 + 8*b7988*b656 + 8*b7989*b657 + 6.5*b7990*b658 + 
      7.5*b7991*b659 + 6.5*b7992*b660 + 7.5*b7993*b661 + 5.5*b7994*b662 + 5.5*
      b7995*b663 + 5*b7996*b664 + 5.5*b7997*b665 + 7*b7998*b666 + 8*b7999*b667
       + 5.5*b8000*b668 + 7*b8001*b669 + 8*b8002*b670 + 7*b8003*b671 + 8*b8004*
      b672 + 6*b8005*b673 + 7*b8006*b674 + 7*b8007*b675 + 5.5*b8008*b676 + 8*
      b8009*b677 + 5.5*b8010*b678 + 6*b8011*b679 + 6.5*b8012*b680 + 5*b8013*
      b681 + 6*b8014*b682 + 6.5*b8015*b683 + 6*b8016*b684 + 6*b8017*b685 + 5*
      b8018*b686 + 6*b8019*b687 + 7*b8020*b688 + 6*b8021*b689 + 7.5*b8022*b690
       + 6.5*b8023*b691 + 6.5*b8024*b692 + 6*b8025*b693 + 6.5*b8026*b694 + 5*
      b8027*b695 + 5.5*b8028*b696 + 5*b8029*b697 + 5.5*b8030*b698 + 5.5*b8031*
      b699 + 7.5*b8032*b700 + 5*b8033*b701 + 7*b8034*b702 + 7.5*b8035*b703 + 5*
      b8036*b704 + 6.5*b8037*b705 + 5*b8038*b706 + 7.5*b8039*b707 + 6*b8040*
      b708 + 5.5*b8041*b709 + 7.5*b8042*b710 + 7*b8043*b711 + 7*b8044*b712 + 
      7.5*b8045*b713 + 6*b8046*b714 + 6.5*b8047*b715 + 6.5*b8048*b716 + 8*b8049
      *b717 + 8*b8050*b718 + 6*b8051*b719 + 7*b8052*b720 + 8*b8053*b721 + 7.5*
      b8054*b722 + 5.5*b8055*b723 + 7.5*b8056*b724 + 8*b8057*b725 + 7.5*b8058*
      b726 + 7*b8059*b727 + 6*b8060*b728 + 6*b8061*b729 + 6*b8062*b730 + 7.5*
      b8063*b731 + 6.5*b8064*b732 + 5*b8065*b733 + 6*b8066*b734 + 6.5*b8067*
      b735 + 6*b8068*b736 + 7*b8069*b737 + 5*b8070*b738 + 6*b8071*b739 + 5.5*
      b8072*b740 + 6.5*b8073*b741 + 7.5*b8074*b742 + 6.5*b8075*b743 + 7*b8076*
      b744 + 8*b8077*b745 + 7.5*b8078*b746 + 8*b8079*b747 + 6.5*b8080*b748 + 7*
      b8081*b749 + 6.5*b8082*b750 + 7*b8083*b751 + 7*b8084*b752 + 5*b8085*b753
       + 5*b8086*b754 + 7*b8087*b755 + 7*b8088*b756 + 5.5*b8089*b757 + 6*b8090*
      b758 + 7*b8091*b759 + 6.5*b8092*b760 + 8*b8093*b761 + 6*b8094*b762 + 6.5*
      b8095*b763 + 7.5*b8096*b764 + 6.5*b8097*b765 + 6.5*b8098*b766 + 8*b8099*
      b767 + 6*b8100*b768 + 8*b8101*b769 + 6*b8102*b770 + 7*b8103*b771 + 7.5*
      b8104*b772 + 6*b8105*b773 + 7*b8106*b774 + 8*b8107*b775 + 7*b8108*b776 + 
      6.5*b8109*b777 + 7*b8110*b778 + 7*b8111*b779 + 5*b8112*b780 + 10*b1
       + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7 + 11*b8 + 12*b9 + 14*b10
       + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15 + 13*b16 + 15*b17 + 12*b18
       + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23 + 14*b24 + 11*b25 + 14*b26
       + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31 + 16*b32 + 16*b33 + 13*b34
       + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39 + 10*b40 + 11*b41 + 14*b42
       + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47 + 16*b48 + 12*b49 + 14*b50
       + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55 + 13*b56 + 10*b57 + 12*b58
       + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63 + 14*b64 + 12*b65 + 15*b66
       + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71 + 11*b72 + 10*b73 + 11*b74
       + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79 + 10*b80 + 13*b81 + 10*b82
       + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87 + 14*b88 + 15*b89 + 12*b90
       + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95 + 14*b96 + 16*b97 + 15*b98
       + 11*b99 + 15*b100 + 16*b101 + 15*b102 + 14*b103 + 12*b104 + 12*b105
       + 12*b106 + 15*b107 + 13*b108 + 10*b109 + 12*b110 + 13*b111 + 12*b112
       + 14*b113 + 10*b114 + 12*b115 + 11*b116 + 13*b117 + 15*b118 + 13*b119
       + 14*b120 + 16*b121 + 15*b122 + 16*b123 + 13*b124 + 14*b125 + 13*b126
       + 14*b127 + 14*b128 + 10*b129 + 10*b130 + 14*b131 + 14*b132 + 11*b133
       + 12*b134 + 14*b135 + 13*b136 + 16*b137 + 12*b138 + 13*b139 + 15*b140
       + 13*b141 + 13*b142 + 16*b143 + 12*b144 + 16*b145 + 12*b146 + 14*b147
       + 15*b148 + 12*b149 + 14*b150 + 16*b151 + 14*b152 + 13*b153 + 14*b154
       + 14*b155 + 10*b156 - x23869 =L= 0;

e39.. 5*b1405*b7957 + 6.5*b1406*b7958 + 7.5*b1407*b7959 + 8*b1408*b7960 + 5.5*
      b1409*b7961 + 7*b1410*b7962 + 7*b1411*b7963 + 5.5*b1412*b7964 + 6*b1413*
      b7965 + 7*b1414*b7966 + 5*b1415*b7967 + 7*b1416*b7968 + 8*b1417*b7969 + 7
      *b1418*b7970 + 6*b1419*b7971 + 6.5*b1420*b7972 + 7.5*b1421*b7973 + 6*
      b1422*b7974 + 5.5*b1423*b7975 + 7.5*b1424*b7976 + 6*b1425*b7977 + 5.5*
      b1426*b7978 + 5*b1427*b7979 + 7*b1428*b7980 + 5.5*b1429*b7981 + 7*b1430*
      b7982 + 6.5*b1431*b7983 + 7*b1432*b7984 + 6*b1433*b7985 + 6.5*b1434*b7986
       + 5.5*b1435*b7987 + 8*b1436*b7988 + 8*b1437*b7989 + 6.5*b1438*b7990 + 
      7.5*b1439*b7991 + 6.5*b1440*b7992 + 7.5*b1441*b7993 + 5.5*b1442*b7994 + 
      5.5*b1443*b7995 + 5*b1444*b7996 + 5.5*b1445*b7997 + 7*b1446*b7998 + 8*
      b1447*b7999 + 5.5*b1448*b8000 + 7*b1449*b8001 + 8*b1450*b8002 + 7*b1451*
      b8003 + 8*b1452*b8004 + 6*b1453*b8005 + 7*b1454*b8006 + 7*b1455*b8007 + 
      5.5*b1456*b8008 + 8*b1457*b8009 + 5.5*b1458*b8010 + 6*b1459*b8011 + 6.5*
      b1460*b8012 + 5*b1461*b8013 + 6*b1462*b8014 + 6.5*b1463*b8015 + 6*b1464*
      b8016 + 6*b1465*b8017 + 5*b1466*b8018 + 6*b1467*b8019 + 7*b1468*b8020 + 6
      *b1469*b8021 + 7.5*b1470*b8022 + 6.5*b1471*b8023 + 6.5*b1472*b8024 + 6*
      b1473*b8025 + 6.5*b1474*b8026 + 5*b1475*b8027 + 5.5*b1476*b8028 + 5*b1477
      *b8029 + 5.5*b1478*b8030 + 5.5*b1479*b8031 + 7.5*b1480*b8032 + 5*b1481*
      b8033 + 7*b1482*b8034 + 7.5*b1483*b8035 + 5*b1484*b8036 + 6.5*b1485*b8037
       + 5*b1486*b8038 + 7.5*b1487*b8039 + 6*b1488*b8040 + 5.5*b1489*b8041 + 
      7.5*b1490*b8042 + 7*b1491*b8043 + 7*b1492*b8044 + 7.5*b1493*b8045 + 6*
      b1494*b8046 + 6.5*b1495*b8047 + 6.5*b1496*b8048 + 8*b1497*b8049 + 8*b1498
      *b8050 + 6*b1499*b8051 + 7*b1500*b8052 + 8*b1501*b8053 + 7.5*b1502*b8054
       + 5.5*b1503*b8055 + 7.5*b1504*b8056 + 8*b1505*b8057 + 7.5*b1506*b8058 + 
      7*b1507*b8059 + 6*b1508*b8060 + 6*b1509*b8061 + 6*b1510*b8062 + 7.5*b1511
      *b8063 + 6.5*b1512*b8064 + 5*b1513*b8065 + 6*b1514*b8066 + 6.5*b1515*
      b8067 + 6*b1516*b8068 + 7*b1517*b8069 + 5*b1518*b8070 + 6*b1519*b8071 + 
      5.5*b1520*b8072 + 6.5*b1521*b8073 + 7.5*b1522*b8074 + 6.5*b1523*b8075 + 7
      *b1524*b8076 + 8*b1525*b8077 + 7.5*b1526*b8078 + 8*b1527*b8079 + 6.5*
      b1528*b8080 + 7*b1529*b8081 + 6.5*b1530*b8082 + 7*b1531*b8083 + 7*b1532*
      b8084 + 5*b1533*b8085 + 5*b1534*b8086 + 7*b1535*b8087 + 7*b1536*b8088 + 
      5.5*b1537*b8089 + 6*b1538*b8090 + 7*b1539*b8091 + 6.5*b1540*b8092 + 8*
      b1541*b8093 + 6*b1542*b8094 + 6.5*b1543*b8095 + 7.5*b1544*b8096 + 6.5*
      b1545*b8097 + 6.5*b1546*b8098 + 8*b1547*b8099 + 6*b1548*b8100 + 8*b1549*
      b8101 + 6*b1550*b8102 + 7*b1551*b8103 + 7.5*b1552*b8104 + 6*b1553*b8105
       + 7*b1554*b8106 + 8*b1555*b8107 + 7*b1556*b8108 + 6.5*b1557*b8109 + 7*
      b1558*b8110 + 7*b1559*b8111 + 5*b1560*b8112 + 5*b7957*b1405 + 6.5*b7958*
      b1406 + 7.5*b7959*b1407 + 8*b7960*b1408 + 5.5*b7961*b1409 + 7*b7962*b1410
       + 7*b7963*b1411 + 5.5*b7964*b1412 + 6*b7965*b1413 + 7*b7966*b1414 + 5*
      b7967*b1415 + 7*b7968*b1416 + 8*b7969*b1417 + 7*b7970*b1418 + 6*b7971*
      b1419 + 6.5*b7972*b1420 + 7.5*b7973*b1421 + 6*b7974*b1422 + 5.5*b7975*
      b1423 + 7.5*b7976*b1424 + 6*b7977*b1425 + 5.5*b7978*b1426 + 5*b7979*b1427
       + 7*b7980*b1428 + 5.5*b7981*b1429 + 7*b7982*b1430 + 6.5*b7983*b1431 + 7*
      b7984*b1432 + 6*b7985*b1433 + 6.5*b7986*b1434 + 5.5*b7987*b1435 + 8*b7988
      *b1436 + 8*b7989*b1437 + 6.5*b7990*b1438 + 7.5*b7991*b1439 + 6.5*b7992*
      b1440 + 7.5*b7993*b1441 + 5.5*b7994*b1442 + 5.5*b7995*b1443 + 5*b7996*
      b1444 + 5.5*b7997*b1445 + 7*b7998*b1446 + 8*b7999*b1447 + 5.5*b8000*b1448
       + 7*b8001*b1449 + 8*b8002*b1450 + 7*b8003*b1451 + 8*b8004*b1452 + 6*
      b8005*b1453 + 7*b8006*b1454 + 7*b8007*b1455 + 5.5*b8008*b1456 + 8*b8009*
      b1457 + 5.5*b8010*b1458 + 6*b8011*b1459 + 6.5*b8012*b1460 + 5*b8013*b1461
       + 6*b8014*b1462 + 6.5*b8015*b1463 + 6*b8016*b1464 + 6*b8017*b1465 + 5*
      b8018*b1466 + 6*b8019*b1467 + 7*b8020*b1468 + 6*b8021*b1469 + 7.5*b8022*
      b1470 + 6.5*b8023*b1471 + 6.5*b8024*b1472 + 6*b8025*b1473 + 6.5*b8026*
      b1474 + 5*b8027*b1475 + 5.5*b8028*b1476 + 5*b8029*b1477 + 5.5*b8030*b1478
       + 5.5*b8031*b1479 + 7.5*b8032*b1480 + 5*b8033*b1481 + 7*b8034*b1482 + 
      7.5*b8035*b1483 + 5*b8036*b1484 + 6.5*b8037*b1485 + 5*b8038*b1486 + 7.5*
      b8039*b1487 + 6*b8040*b1488 + 5.5*b8041*b1489 + 7.5*b8042*b1490 + 7*b8043
      *b1491 + 7*b8044*b1492 + 7.5*b8045*b1493 + 6*b8046*b1494 + 6.5*b8047*
      b1495 + 6.5*b8048*b1496 + 8*b8049*b1497 + 8*b8050*b1498 + 6*b8051*b1499
       + 7*b8052*b1500 + 8*b8053*b1501 + 7.5*b8054*b1502 + 5.5*b8055*b1503 + 
      7.5*b8056*b1504 + 8*b8057*b1505 + 7.5*b8058*b1506 + 7*b8059*b1507 + 6*
      b8060*b1508 + 6*b8061*b1509 + 6*b8062*b1510 + 7.5*b8063*b1511 + 6.5*b8064
      *b1512 + 5*b8065*b1513 + 6*b8066*b1514 + 6.5*b8067*b1515 + 6*b8068*b1516
       + 7*b8069*b1517 + 5*b8070*b1518 + 6*b8071*b1519 + 5.5*b8072*b1520 + 6.5*
      b8073*b1521 + 7.5*b8074*b1522 + 6.5*b8075*b1523 + 7*b8076*b1524 + 8*b8077
      *b1525 + 7.5*b8078*b1526 + 8*b8079*b1527 + 6.5*b8080*b1528 + 7*b8081*
      b1529 + 6.5*b8082*b1530 + 7*b8083*b1531 + 7*b8084*b1532 + 5*b8085*b1533
       + 5*b8086*b1534 + 7*b8087*b1535 + 7*b8088*b1536 + 5.5*b8089*b1537 + 6*
      b8090*b1538 + 7*b8091*b1539 + 6.5*b8092*b1540 + 8*b8093*b1541 + 6*b8094*
      b1542 + 6.5*b8095*b1543 + 7.5*b8096*b1544 + 6.5*b8097*b1545 + 6.5*b8098*
      b1546 + 8*b8099*b1547 + 6*b8100*b1548 + 8*b8101*b1549 + 6*b8102*b1550 + 7
      *b8103*b1551 + 7.5*b8104*b1552 + 6*b8105*b1553 + 7*b8106*b1554 + 8*b8107*
      b1555 + 7*b8108*b1556 + 6.5*b8109*b1557 + 7*b8110*b1558 + 7*b8111*b1559
       + 5*b8112*b1560 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e40.. 5*b3745*b7957 + 6.5*b3746*b7958 + 7.5*b3747*b7959 + 8*b3748*b7960 + 5.5*
      b3749*b7961 + 7*b3750*b7962 + 7*b3751*b7963 + 5.5*b3752*b7964 + 6*b3753*
      b7965 + 7*b3754*b7966 + 5*b3755*b7967 + 7*b3756*b7968 + 8*b3757*b7969 + 7
      *b3758*b7970 + 6*b3759*b7971 + 6.5*b3760*b7972 + 7.5*b3761*b7973 + 6*
      b3762*b7974 + 5.5*b3763*b7975 + 7.5*b3764*b7976 + 6*b3765*b7977 + 5.5*
      b3766*b7978 + 5*b3767*b7979 + 7*b3768*b7980 + 5.5*b3769*b7981 + 7*b3770*
      b7982 + 6.5*b3771*b7983 + 7*b3772*b7984 + 6*b3773*b7985 + 6.5*b3774*b7986
       + 5.5*b3775*b7987 + 8*b3776*b7988 + 8*b3777*b7989 + 6.5*b3778*b7990 + 
      7.5*b3779*b7991 + 6.5*b3780*b7992 + 7.5*b3781*b7993 + 5.5*b3782*b7994 + 
      5.5*b3783*b7995 + 5*b3784*b7996 + 5.5*b3785*b7997 + 7*b3786*b7998 + 8*
      b3787*b7999 + 5.5*b3788*b8000 + 7*b3789*b8001 + 8*b3790*b8002 + 7*b3791*
      b8003 + 8*b3792*b8004 + 6*b3793*b8005 + 7*b3794*b8006 + 7*b3795*b8007 + 
      5.5*b3796*b8008 + 8*b3797*b8009 + 5.5*b3798*b8010 + 6*b3799*b8011 + 6.5*
      b3800*b8012 + 5*b3801*b8013 + 6*b3802*b8014 + 6.5*b3803*b8015 + 6*b3804*
      b8016 + 6*b3805*b8017 + 5*b3806*b8018 + 6*b3807*b8019 + 7*b3808*b8020 + 6
      *b3809*b8021 + 7.5*b3810*b8022 + 6.5*b3811*b8023 + 6.5*b3812*b8024 + 6*
      b3813*b8025 + 6.5*b3814*b8026 + 5*b3815*b8027 + 5.5*b3816*b8028 + 5*b3817
      *b8029 + 5.5*b3818*b8030 + 5.5*b3819*b8031 + 7.5*b3820*b8032 + 5*b3821*
      b8033 + 7*b3822*b8034 + 7.5*b3823*b8035 + 5*b3824*b8036 + 6.5*b3825*b8037
       + 5*b3826*b8038 + 7.5*b3827*b8039 + 6*b3828*b8040 + 5.5*b3829*b8041 + 
      7.5*b3830*b8042 + 7*b3831*b8043 + 7*b3832*b8044 + 7.5*b3833*b8045 + 6*
      b3834*b8046 + 6.5*b3835*b8047 + 6.5*b3836*b8048 + 8*b3837*b8049 + 8*b3838
      *b8050 + 6*b3839*b8051 + 7*b3840*b8052 + 8*b3841*b8053 + 7.5*b3842*b8054
       + 5.5*b3843*b8055 + 7.5*b3844*b8056 + 8*b3845*b8057 + 7.5*b3846*b8058 + 
      7*b3847*b8059 + 6*b3848*b8060 + 6*b3849*b8061 + 6*b3850*b8062 + 7.5*b3851
      *b8063 + 6.5*b3852*b8064 + 5*b3853*b8065 + 6*b3854*b8066 + 6.5*b3855*
      b8067 + 6*b3856*b8068 + 7*b3857*b8069 + 5*b3858*b8070 + 6*b3859*b8071 + 
      5.5*b3860*b8072 + 6.5*b3861*b8073 + 7.5*b3862*b8074 + 6.5*b3863*b8075 + 7
      *b3864*b8076 + 8*b3865*b8077 + 7.5*b3866*b8078 + 8*b3867*b8079 + 6.5*
      b3868*b8080 + 7*b3869*b8081 + 6.5*b3870*b8082 + 7*b3871*b8083 + 7*b3872*
      b8084 + 5*b3873*b8085 + 5*b3874*b8086 + 7*b3875*b8087 + 7*b3876*b8088 + 
      5.5*b3877*b8089 + 6*b3878*b8090 + 7*b3879*b8091 + 6.5*b3880*b8092 + 8*
      b3881*b8093 + 6*b3882*b8094 + 6.5*b3883*b8095 + 7.5*b3884*b8096 + 6.5*
      b3885*b8097 + 6.5*b3886*b8098 + 8*b3887*b8099 + 6*b3888*b8100 + 8*b3889*
      b8101 + 6*b3890*b8102 + 7*b3891*b8103 + 7.5*b3892*b8104 + 6*b3893*b8105
       + 7*b3894*b8106 + 8*b3895*b8107 + 7*b3896*b8108 + 6.5*b3897*b8109 + 7*
      b3898*b8110 + 7*b3899*b8111 + 5*b3900*b8112 + 5*b7957*b3745 + 6.5*b7958*
      b3746 + 7.5*b7959*b3747 + 8*b7960*b3748 + 5.5*b7961*b3749 + 7*b7962*b3750
       + 7*b7963*b3751 + 5.5*b7964*b3752 + 6*b7965*b3753 + 7*b7966*b3754 + 5*
      b7967*b3755 + 7*b7968*b3756 + 8*b7969*b3757 + 7*b7970*b3758 + 6*b7971*
      b3759 + 6.5*b7972*b3760 + 7.5*b7973*b3761 + 6*b7974*b3762 + 5.5*b7975*
      b3763 + 7.5*b7976*b3764 + 6*b7977*b3765 + 5.5*b7978*b3766 + 5*b7979*b3767
       + 7*b7980*b3768 + 5.5*b7981*b3769 + 7*b7982*b3770 + 6.5*b7983*b3771 + 7*
      b7984*b3772 + 6*b7985*b3773 + 6.5*b7986*b3774 + 5.5*b7987*b3775 + 8*b7988
      *b3776 + 8*b7989*b3777 + 6.5*b7990*b3778 + 7.5*b7991*b3779 + 6.5*b7992*
      b3780 + 7.5*b7993*b3781 + 5.5*b7994*b3782 + 5.5*b7995*b3783 + 5*b7996*
      b3784 + 5.5*b7997*b3785 + 7*b7998*b3786 + 8*b7999*b3787 + 5.5*b8000*b3788
       + 7*b8001*b3789 + 8*b8002*b3790 + 7*b8003*b3791 + 8*b8004*b3792 + 6*
      b8005*b3793 + 7*b8006*b3794 + 7*b8007*b3795 + 5.5*b8008*b3796 + 8*b8009*
      b3797 + 5.5*b8010*b3798 + 6*b8011*b3799 + 6.5*b8012*b3800 + 5*b8013*b3801
       + 6*b8014*b3802 + 6.5*b8015*b3803 + 6*b8016*b3804 + 6*b8017*b3805 + 5*
      b8018*b3806 + 6*b8019*b3807 + 7*b8020*b3808 + 6*b8021*b3809 + 7.5*b8022*
      b3810 + 6.5*b8023*b3811 + 6.5*b8024*b3812 + 6*b8025*b3813 + 6.5*b8026*
      b3814 + 5*b8027*b3815 + 5.5*b8028*b3816 + 5*b8029*b3817 + 5.5*b8030*b3818
       + 5.5*b8031*b3819 + 7.5*b8032*b3820 + 5*b8033*b3821 + 7*b8034*b3822 + 
      7.5*b8035*b3823 + 5*b8036*b3824 + 6.5*b8037*b3825 + 5*b8038*b3826 + 7.5*
      b8039*b3827 + 6*b8040*b3828 + 5.5*b8041*b3829 + 7.5*b8042*b3830 + 7*b8043
      *b3831 + 7*b8044*b3832 + 7.5*b8045*b3833 + 6*b8046*b3834 + 6.5*b8047*
      b3835 + 6.5*b8048*b3836 + 8*b8049*b3837 + 8*b8050*b3838 + 6*b8051*b3839
       + 7*b8052*b3840 + 8*b8053*b3841 + 7.5*b8054*b3842 + 5.5*b8055*b3843 + 
      7.5*b8056*b3844 + 8*b8057*b3845 + 7.5*b8058*b3846 + 7*b8059*b3847 + 6*
      b8060*b3848 + 6*b8061*b3849 + 6*b8062*b3850 + 7.5*b8063*b3851 + 6.5*b8064
      *b3852 + 5*b8065*b3853 + 6*b8066*b3854 + 6.5*b8067*b3855 + 6*b8068*b3856
       + 7*b8069*b3857 + 5*b8070*b3858 + 6*b8071*b3859 + 5.5*b8072*b3860 + 6.5*
      b8073*b3861 + 7.5*b8074*b3862 + 6.5*b8075*b3863 + 7*b8076*b3864 + 8*b8077
      *b3865 + 7.5*b8078*b3866 + 8*b8079*b3867 + 6.5*b8080*b3868 + 7*b8081*
      b3869 + 6.5*b8082*b3870 + 7*b8083*b3871 + 7*b8084*b3872 + 5*b8085*b3873
       + 5*b8086*b3874 + 7*b8087*b3875 + 7*b8088*b3876 + 5.5*b8089*b3877 + 6*
      b8090*b3878 + 7*b8091*b3879 + 6.5*b8092*b3880 + 8*b8093*b3881 + 6*b8094*
      b3882 + 6.5*b8095*b3883 + 7.5*b8096*b3884 + 6.5*b8097*b3885 + 6.5*b8098*
      b3886 + 8*b8099*b3887 + 6*b8100*b3888 + 8*b8101*b3889 + 6*b8102*b3890 + 7
      *b8103*b3891 + 7.5*b8104*b3892 + 6*b8105*b3893 + 7*b8106*b3894 + 8*b8107*
      b3895 + 7*b8108*b3896 + 6.5*b8109*b3897 + 7*b8110*b3898 + 7*b8111*b3899
       + 5*b8112*b3900 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e41.. 5*b4369*b7957 + 6.5*b4370*b7958 + 7.5*b4371*b7959 + 8*b4372*b7960 + 5.5*
      b4373*b7961 + 7*b4374*b7962 + 7*b4375*b7963 + 5.5*b4376*b7964 + 6*b4377*
      b7965 + 7*b4378*b7966 + 5*b4379*b7967 + 7*b4380*b7968 + 8*b4381*b7969 + 7
      *b4382*b7970 + 6*b4383*b7971 + 6.5*b4384*b7972 + 7.5*b4385*b7973 + 6*
      b4386*b7974 + 5.5*b4387*b7975 + 7.5*b4388*b7976 + 6*b4389*b7977 + 5.5*
      b4390*b7978 + 5*b4391*b7979 + 7*b4392*b7980 + 5.5*b4393*b7981 + 7*b4394*
      b7982 + 6.5*b4395*b7983 + 7*b4396*b7984 + 6*b4397*b7985 + 6.5*b4398*b7986
       + 5.5*b4399*b7987 + 8*b4400*b7988 + 8*b4401*b7989 + 6.5*b4402*b7990 + 
      7.5*b4403*b7991 + 6.5*b4404*b7992 + 7.5*b4405*b7993 + 5.5*b4406*b7994 + 
      5.5*b4407*b7995 + 5*b4408*b7996 + 5.5*b4409*b7997 + 7*b4410*b7998 + 8*
      b4411*b7999 + 5.5*b4412*b8000 + 7*b4413*b8001 + 8*b4414*b8002 + 7*b4415*
      b8003 + 8*b4416*b8004 + 6*b4417*b8005 + 7*b4418*b8006 + 7*b4419*b8007 + 
      5.5*b4420*b8008 + 8*b4421*b8009 + 5.5*b4422*b8010 + 6*b4423*b8011 + 6.5*
      b4424*b8012 + 5*b4425*b8013 + 6*b4426*b8014 + 6.5*b4427*b8015 + 6*b4428*
      b8016 + 6*b4429*b8017 + 5*b4430*b8018 + 6*b4431*b8019 + 7*b4432*b8020 + 6
      *b4433*b8021 + 7.5*b4434*b8022 + 6.5*b4435*b8023 + 6.5*b4436*b8024 + 6*
      b4437*b8025 + 6.5*b4438*b8026 + 5*b4439*b8027 + 5.5*b4440*b8028 + 5*b4441
      *b8029 + 5.5*b4442*b8030 + 5.5*b4443*b8031 + 7.5*b4444*b8032 + 5*b4445*
      b8033 + 7*b4446*b8034 + 7.5*b4447*b8035 + 5*b4448*b8036 + 6.5*b4449*b8037
       + 5*b4450*b8038 + 7.5*b4451*b8039 + 6*b4452*b8040 + 5.5*b4453*b8041 + 
      7.5*b4454*b8042 + 7*b4455*b8043 + 7*b4456*b8044 + 7.5*b4457*b8045 + 6*
      b4458*b8046 + 6.5*b4459*b8047 + 6.5*b4460*b8048 + 8*b4461*b8049 + 8*b4462
      *b8050 + 6*b4463*b8051 + 7*b4464*b8052 + 8*b4465*b8053 + 7.5*b4466*b8054
       + 5.5*b4467*b8055 + 7.5*b4468*b8056 + 8*b4469*b8057 + 7.5*b4470*b8058 + 
      7*b4471*b8059 + 6*b4472*b8060 + 6*b4473*b8061 + 6*b4474*b8062 + 7.5*b4475
      *b8063 + 6.5*b4476*b8064 + 5*b4477*b8065 + 6*b4478*b8066 + 6.5*b4479*
      b8067 + 6*b4480*b8068 + 7*b4481*b8069 + 5*b4482*b8070 + 6*b4483*b8071 + 
      5.5*b4484*b8072 + 6.5*b4485*b8073 + 7.5*b4486*b8074 + 6.5*b4487*b8075 + 7
      *b4488*b8076 + 8*b4489*b8077 + 7.5*b4490*b8078 + 8*b4491*b8079 + 6.5*
      b4492*b8080 + 7*b4493*b8081 + 6.5*b4494*b8082 + 7*b4495*b8083 + 7*b4496*
      b8084 + 5*b4497*b8085 + 5*b4498*b8086 + 7*b4499*b8087 + 7*b4500*b8088 + 
      5.5*b4501*b8089 + 6*b4502*b8090 + 7*b4503*b8091 + 6.5*b4504*b8092 + 8*
      b4505*b8093 + 6*b4506*b8094 + 6.5*b4507*b8095 + 7.5*b4508*b8096 + 6.5*
      b4509*b8097 + 6.5*b4510*b8098 + 8*b4511*b8099 + 6*b4512*b8100 + 8*b4513*
      b8101 + 6*b4514*b8102 + 7*b4515*b8103 + 7.5*b4516*b8104 + 6*b4517*b8105
       + 7*b4518*b8106 + 8*b4519*b8107 + 7*b4520*b8108 + 6.5*b4521*b8109 + 7*
      b4522*b8110 + 7*b4523*b8111 + 5*b4524*b8112 + 5*b7957*b4369 + 6.5*b7958*
      b4370 + 7.5*b7959*b4371 + 8*b7960*b4372 + 5.5*b7961*b4373 + 7*b7962*b4374
       + 7*b7963*b4375 + 5.5*b7964*b4376 + 6*b7965*b4377 + 7*b7966*b4378 + 5*
      b7967*b4379 + 7*b7968*b4380 + 8*b7969*b4381 + 7*b7970*b4382 + 6*b7971*
      b4383 + 6.5*b7972*b4384 + 7.5*b7973*b4385 + 6*b7974*b4386 + 5.5*b7975*
      b4387 + 7.5*b7976*b4388 + 6*b7977*b4389 + 5.5*b7978*b4390 + 5*b7979*b4391
       + 7*b7980*b4392 + 5.5*b7981*b4393 + 7*b7982*b4394 + 6.5*b7983*b4395 + 7*
      b7984*b4396 + 6*b7985*b4397 + 6.5*b7986*b4398 + 5.5*b7987*b4399 + 8*b7988
      *b4400 + 8*b7989*b4401 + 6.5*b7990*b4402 + 7.5*b7991*b4403 + 6.5*b7992*
      b4404 + 7.5*b7993*b4405 + 5.5*b7994*b4406 + 5.5*b7995*b4407 + 5*b7996*
      b4408 + 5.5*b7997*b4409 + 7*b7998*b4410 + 8*b7999*b4411 + 5.5*b8000*b4412
       + 7*b8001*b4413 + 8*b8002*b4414 + 7*b8003*b4415 + 8*b8004*b4416 + 6*
      b8005*b4417 + 7*b8006*b4418 + 7*b8007*b4419 + 5.5*b8008*b4420 + 8*b8009*
      b4421 + 5.5*b8010*b4422 + 6*b8011*b4423 + 6.5*b8012*b4424 + 5*b8013*b4425
       + 6*b8014*b4426 + 6.5*b8015*b4427 + 6*b8016*b4428 + 6*b8017*b4429 + 5*
      b8018*b4430 + 6*b8019*b4431 + 7*b8020*b4432 + 6*b8021*b4433 + 7.5*b8022*
      b4434 + 6.5*b8023*b4435 + 6.5*b8024*b4436 + 6*b8025*b4437 + 6.5*b8026*
      b4438 + 5*b8027*b4439 + 5.5*b8028*b4440 + 5*b8029*b4441 + 5.5*b8030*b4442
       + 5.5*b8031*b4443 + 7.5*b8032*b4444 + 5*b8033*b4445 + 7*b8034*b4446 + 
      7.5*b8035*b4447 + 5*b8036*b4448 + 6.5*b8037*b4449 + 5*b8038*b4450 + 7.5*
      b8039*b4451 + 6*b8040*b4452 + 5.5*b8041*b4453 + 7.5*b8042*b4454 + 7*b8043
      *b4455 + 7*b8044*b4456 + 7.5*b8045*b4457 + 6*b8046*b4458 + 6.5*b8047*
      b4459 + 6.5*b8048*b4460 + 8*b8049*b4461 + 8*b8050*b4462 + 6*b8051*b4463
       + 7*b8052*b4464 + 8*b8053*b4465 + 7.5*b8054*b4466 + 5.5*b8055*b4467 + 
      7.5*b8056*b4468 + 8*b8057*b4469 + 7.5*b8058*b4470 + 7*b8059*b4471 + 6*
      b8060*b4472 + 6*b8061*b4473 + 6*b8062*b4474 + 7.5*b8063*b4475 + 6.5*b8064
      *b4476 + 5*b8065*b4477 + 6*b8066*b4478 + 6.5*b8067*b4479 + 6*b8068*b4480
       + 7*b8069*b4481 + 5*b8070*b4482 + 6*b8071*b4483 + 5.5*b8072*b4484 + 6.5*
      b8073*b4485 + 7.5*b8074*b4486 + 6.5*b8075*b4487 + 7*b8076*b4488 + 8*b8077
      *b4489 + 7.5*b8078*b4490 + 8*b8079*b4491 + 6.5*b8080*b4492 + 7*b8081*
      b4493 + 6.5*b8082*b4494 + 7*b8083*b4495 + 7*b8084*b4496 + 5*b8085*b4497
       + 5*b8086*b4498 + 7*b8087*b4499 + 7*b8088*b4500 + 5.5*b8089*b4501 + 6*
      b8090*b4502 + 7*b8091*b4503 + 6.5*b8092*b4504 + 8*b8093*b4505 + 6*b8094*
      b4506 + 6.5*b8095*b4507 + 7.5*b8096*b4508 + 6.5*b8097*b4509 + 6.5*b8098*
      b4510 + 8*b8099*b4511 + 6*b8100*b4512 + 8*b8101*b4513 + 6*b8102*b4514 + 7
      *b8103*b4515 + 7.5*b8104*b4516 + 6*b8105*b4517 + 7*b8106*b4518 + 8*b8107*
      b4519 + 7*b8108*b4520 + 6.5*b8109*b4521 + 7*b8110*b4522 + 7*b8111*b4523
       + 5*b8112*b4524 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e42.. 5*b5149*b7957 + 6.5*b5150*b7958 + 7.5*b5151*b7959 + 8*b5152*b7960 + 5.5*
      b5153*b7961 + 7*b5154*b7962 + 7*b5155*b7963 + 5.5*b5156*b7964 + 6*b5157*
      b7965 + 7*b5158*b7966 + 5*b5159*b7967 + 7*b5160*b7968 + 8*b5161*b7969 + 7
      *b5162*b7970 + 6*b5163*b7971 + 6.5*b5164*b7972 + 7.5*b5165*b7973 + 6*
      b5166*b7974 + 5.5*b5167*b7975 + 7.5*b5168*b7976 + 6*b5169*b7977 + 5.5*
      b5170*b7978 + 5*b5171*b7979 + 7*b5172*b7980 + 5.5*b5173*b7981 + 7*b5174*
      b7982 + 6.5*b5175*b7983 + 7*b5176*b7984 + 6*b5177*b7985 + 6.5*b5178*b7986
       + 5.5*b5179*b7987 + 8*b5180*b7988 + 8*b5181*b7989 + 6.5*b5182*b7990 + 
      7.5*b5183*b7991 + 6.5*b5184*b7992 + 7.5*b5185*b7993 + 5.5*b5186*b7994 + 
      5.5*b5187*b7995 + 5*b5188*b7996 + 5.5*b5189*b7997 + 7*b5190*b7998 + 8*
      b5191*b7999 + 5.5*b5192*b8000 + 7*b5193*b8001 + 8*b5194*b8002 + 7*b5195*
      b8003 + 8*b5196*b8004 + 6*b5197*b8005 + 7*b5198*b8006 + 7*b5199*b8007 + 
      5.5*b5200*b8008 + 8*b5201*b8009 + 5.5*b5202*b8010 + 6*b5203*b8011 + 6.5*
      b5204*b8012 + 5*b5205*b8013 + 6*b5206*b8014 + 6.5*b5207*b8015 + 6*b5208*
      b8016 + 6*b5209*b8017 + 5*b5210*b8018 + 6*b5211*b8019 + 7*b5212*b8020 + 6
      *b5213*b8021 + 7.5*b5214*b8022 + 6.5*b5215*b8023 + 6.5*b5216*b8024 + 6*
      b5217*b8025 + 6.5*b5218*b8026 + 5*b5219*b8027 + 5.5*b5220*b8028 + 5*b5221
      *b8029 + 5.5*b5222*b8030 + 5.5*b5223*b8031 + 7.5*b5224*b8032 + 5*b5225*
      b8033 + 7*b5226*b8034 + 7.5*b5227*b8035 + 5*b5228*b8036 + 6.5*b5229*b8037
       + 5*b5230*b8038 + 7.5*b5231*b8039 + 6*b5232*b8040 + 5.5*b5233*b8041 + 
      7.5*b5234*b8042 + 7*b5235*b8043 + 7*b5236*b8044 + 7.5*b5237*b8045 + 6*
      b5238*b8046 + 6.5*b5239*b8047 + 6.5*b5240*b8048 + 8*b5241*b8049 + 8*b5242
      *b8050 + 6*b5243*b8051 + 7*b5244*b8052 + 8*b5245*b8053 + 7.5*b5246*b8054
       + 5.5*b5247*b8055 + 7.5*b5248*b8056 + 8*b5249*b8057 + 7.5*b5250*b8058 + 
      7*b5251*b8059 + 6*b5252*b8060 + 6*b5253*b8061 + 6*b5254*b8062 + 7.5*b5255
      *b8063 + 6.5*b5256*b8064 + 5*b5257*b8065 + 6*b5258*b8066 + 6.5*b5259*
      b8067 + 6*b5260*b8068 + 7*b5261*b8069 + 5*b5262*b8070 + 6*b5263*b8071 + 
      5.5*b5264*b8072 + 6.5*b5265*b8073 + 7.5*b5266*b8074 + 6.5*b5267*b8075 + 7
      *b5268*b8076 + 8*b5269*b8077 + 7.5*b5270*b8078 + 8*b5271*b8079 + 6.5*
      b5272*b8080 + 7*b5273*b8081 + 6.5*b5274*b8082 + 7*b5275*b8083 + 7*b5276*
      b8084 + 5*b5277*b8085 + 5*b5278*b8086 + 7*b5279*b8087 + 7*b5280*b8088 + 
      5.5*b5281*b8089 + 6*b5282*b8090 + 7*b5283*b8091 + 6.5*b5284*b8092 + 8*
      b5285*b8093 + 6*b5286*b8094 + 6.5*b5287*b8095 + 7.5*b5288*b8096 + 6.5*
      b5289*b8097 + 6.5*b5290*b8098 + 8*b5291*b8099 + 6*b5292*b8100 + 8*b5293*
      b8101 + 6*b5294*b8102 + 7*b5295*b8103 + 7.5*b5296*b8104 + 6*b5297*b8105
       + 7*b5298*b8106 + 8*b5299*b8107 + 7*b5300*b8108 + 6.5*b5301*b8109 + 7*
      b5302*b8110 + 7*b5303*b8111 + 5*b5304*b8112 + 5*b7957*b5149 + 6.5*b7958*
      b5150 + 7.5*b7959*b5151 + 8*b7960*b5152 + 5.5*b7961*b5153 + 7*b7962*b5154
       + 7*b7963*b5155 + 5.5*b7964*b5156 + 6*b7965*b5157 + 7*b7966*b5158 + 5*
      b7967*b5159 + 7*b7968*b5160 + 8*b7969*b5161 + 7*b7970*b5162 + 6*b7971*
      b5163 + 6.5*b7972*b5164 + 7.5*b7973*b5165 + 6*b7974*b5166 + 5.5*b7975*
      b5167 + 7.5*b7976*b5168 + 6*b7977*b5169 + 5.5*b7978*b5170 + 5*b7979*b5171
       + 7*b7980*b5172 + 5.5*b7981*b5173 + 7*b7982*b5174 + 6.5*b7983*b5175 + 7*
      b7984*b5176 + 6*b7985*b5177 + 6.5*b7986*b5178 + 5.5*b7987*b5179 + 8*b7988
      *b5180 + 8*b7989*b5181 + 6.5*b7990*b5182 + 7.5*b7991*b5183 + 6.5*b7992*
      b5184 + 7.5*b7993*b5185 + 5.5*b7994*b5186 + 5.5*b7995*b5187 + 5*b7996*
      b5188 + 5.5*b7997*b5189 + 7*b7998*b5190 + 8*b7999*b5191 + 5.5*b8000*b5192
       + 7*b8001*b5193 + 8*b8002*b5194 + 7*b8003*b5195 + 8*b8004*b5196 + 6*
      b8005*b5197 + 7*b8006*b5198 + 7*b8007*b5199 + 5.5*b8008*b5200 + 8*b8009*
      b5201 + 5.5*b8010*b5202 + 6*b8011*b5203 + 6.5*b8012*b5204 + 5*b8013*b5205
       + 6*b8014*b5206 + 6.5*b8015*b5207 + 6*b8016*b5208 + 6*b8017*b5209 + 5*
      b8018*b5210 + 6*b8019*b5211 + 7*b8020*b5212 + 6*b8021*b5213 + 7.5*b8022*
      b5214 + 6.5*b8023*b5215 + 6.5*b8024*b5216 + 6*b8025*b5217 + 6.5*b8026*
      b5218 + 5*b8027*b5219 + 5.5*b8028*b5220 + 5*b8029*b5221 + 5.5*b8030*b5222
       + 5.5*b8031*b5223 + 7.5*b8032*b5224 + 5*b8033*b5225 + 7*b8034*b5226 + 
      7.5*b8035*b5227 + 5*b8036*b5228 + 6.5*b8037*b5229 + 5*b8038*b5230 + 7.5*
      b8039*b5231 + 6*b8040*b5232 + 5.5*b8041*b5233 + 7.5*b8042*b5234 + 7*b8043
      *b5235 + 7*b8044*b5236 + 7.5*b8045*b5237 + 6*b8046*b5238 + 6.5*b8047*
      b5239 + 6.5*b8048*b5240 + 8*b8049*b5241 + 8*b8050*b5242 + 6*b8051*b5243
       + 7*b8052*b5244 + 8*b8053*b5245 + 7.5*b8054*b5246 + 5.5*b8055*b5247 + 
      7.5*b8056*b5248 + 8*b8057*b5249 + 7.5*b8058*b5250 + 7*b8059*b5251 + 6*
      b8060*b5252 + 6*b8061*b5253 + 6*b8062*b5254 + 7.5*b8063*b5255 + 6.5*b8064
      *b5256 + 5*b8065*b5257 + 6*b8066*b5258 + 6.5*b8067*b5259 + 6*b8068*b5260
       + 7*b8069*b5261 + 5*b8070*b5262 + 6*b8071*b5263 + 5.5*b8072*b5264 + 6.5*
      b8073*b5265 + 7.5*b8074*b5266 + 6.5*b8075*b5267 + 7*b8076*b5268 + 8*b8077
      *b5269 + 7.5*b8078*b5270 + 8*b8079*b5271 + 6.5*b8080*b5272 + 7*b8081*
      b5273 + 6.5*b8082*b5274 + 7*b8083*b5275 + 7*b8084*b5276 + 5*b8085*b5277
       + 5*b8086*b5278 + 7*b8087*b5279 + 7*b8088*b5280 + 5.5*b8089*b5281 + 6*
      b8090*b5282 + 7*b8091*b5283 + 6.5*b8092*b5284 + 8*b8093*b5285 + 6*b8094*
      b5286 + 6.5*b8095*b5287 + 7.5*b8096*b5288 + 6.5*b8097*b5289 + 6.5*b8098*
      b5290 + 8*b8099*b5291 + 6*b8100*b5292 + 8*b8101*b5293 + 6*b8102*b5294 + 7
      *b8103*b5295 + 7.5*b8104*b5296 + 6*b8105*b5297 + 7*b8106*b5298 + 8*b8107*
      b5299 + 7*b8108*b5300 + 6.5*b8109*b5301 + 7*b8110*b5302 + 7*b8111*b5303
       + 5*b8112*b5304 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e43.. 5*b6397*b7957 + 6.5*b6398*b7958 + 7.5*b6399*b7959 + 8*b6400*b7960 + 5.5*
      b6401*b7961 + 7*b6402*b7962 + 7*b6403*b7963 + 5.5*b6404*b7964 + 6*b6405*
      b7965 + 7*b6406*b7966 + 5*b6407*b7967 + 7*b6408*b7968 + 8*b6409*b7969 + 7
      *b6410*b7970 + 6*b6411*b7971 + 6.5*b6412*b7972 + 7.5*b6413*b7973 + 6*
      b6414*b7974 + 5.5*b6415*b7975 + 7.5*b6416*b7976 + 6*b6417*b7977 + 5.5*
      b6418*b7978 + 5*b6419*b7979 + 7*b6420*b7980 + 5.5*b6421*b7981 + 7*b6422*
      b7982 + 6.5*b6423*b7983 + 7*b6424*b7984 + 6*b6425*b7985 + 6.5*b6426*b7986
       + 5.5*b6427*b7987 + 8*b6428*b7988 + 8*b6429*b7989 + 6.5*b6430*b7990 + 
      7.5*b6431*b7991 + 6.5*b6432*b7992 + 7.5*b6433*b7993 + 5.5*b6434*b7994 + 
      5.5*b6435*b7995 + 5*b6436*b7996 + 5.5*b6437*b7997 + 7*b6438*b7998 + 8*
      b6439*b7999 + 5.5*b6440*b8000 + 7*b6441*b8001 + 8*b6442*b8002 + 7*b6443*
      b8003 + 8*b6444*b8004 + 6*b6445*b8005 + 7*b6446*b8006 + 7*b6447*b8007 + 
      5.5*b6448*b8008 + 8*b6449*b8009 + 5.5*b6450*b8010 + 6*b6451*b8011 + 6.5*
      b6452*b8012 + 5*b6453*b8013 + 6*b6454*b8014 + 6.5*b6455*b8015 + 6*b6456*
      b8016 + 6*b6457*b8017 + 5*b6458*b8018 + 6*b6459*b8019 + 7*b6460*b8020 + 6
      *b6461*b8021 + 7.5*b6462*b8022 + 6.5*b6463*b8023 + 6.5*b6464*b8024 + 6*
      b6465*b8025 + 6.5*b6466*b8026 + 5*b6467*b8027 + 5.5*b6468*b8028 + 5*b6469
      *b8029 + 5.5*b6470*b8030 + 5.5*b6471*b8031 + 7.5*b6472*b8032 + 5*b6473*
      b8033 + 7*b6474*b8034 + 7.5*b6475*b8035 + 5*b6476*b8036 + 6.5*b6477*b8037
       + 5*b6478*b8038 + 7.5*b6479*b8039 + 6*b6480*b8040 + 5.5*b6481*b8041 + 
      7.5*b6482*b8042 + 7*b6483*b8043 + 7*b6484*b8044 + 7.5*b6485*b8045 + 6*
      b6486*b8046 + 6.5*b6487*b8047 + 6.5*b6488*b8048 + 8*b6489*b8049 + 8*b6490
      *b8050 + 6*b6491*b8051 + 7*b6492*b8052 + 8*b6493*b8053 + 7.5*b6494*b8054
       + 5.5*b6495*b8055 + 7.5*b6496*b8056 + 8*b6497*b8057 + 7.5*b6498*b8058 + 
      7*b6499*b8059 + 6*b6500*b8060 + 6*b6501*b8061 + 6*b6502*b8062 + 7.5*b6503
      *b8063 + 6.5*b6504*b8064 + 5*b6505*b8065 + 6*b6506*b8066 + 6.5*b6507*
      b8067 + 6*b6508*b8068 + 7*b6509*b8069 + 5*b6510*b8070 + 6*b6511*b8071 + 
      5.5*b6512*b8072 + 6.5*b6513*b8073 + 7.5*b6514*b8074 + 6.5*b6515*b8075 + 7
      *b6516*b8076 + 8*b6517*b8077 + 7.5*b6518*b8078 + 8*b6519*b8079 + 6.5*
      b6520*b8080 + 7*b6521*b8081 + 6.5*b6522*b8082 + 7*b6523*b8083 + 7*b6524*
      b8084 + 5*b6525*b8085 + 5*b6526*b8086 + 7*b6527*b8087 + 7*b6528*b8088 + 
      5.5*b6529*b8089 + 6*b6530*b8090 + 7*b6531*b8091 + 6.5*b6532*b8092 + 8*
      b6533*b8093 + 6*b6534*b8094 + 6.5*b6535*b8095 + 7.5*b6536*b8096 + 6.5*
      b6537*b8097 + 6.5*b6538*b8098 + 8*b6539*b8099 + 6*b6540*b8100 + 8*b6541*
      b8101 + 6*b6542*b8102 + 7*b6543*b8103 + 7.5*b6544*b8104 + 6*b6545*b8105
       + 7*b6546*b8106 + 8*b6547*b8107 + 7*b6548*b8108 + 6.5*b6549*b8109 + 7*
      b6550*b8110 + 7*b6551*b8111 + 5*b6552*b8112 + 5*b7957*b6397 + 6.5*b7958*
      b6398 + 7.5*b7959*b6399 + 8*b7960*b6400 + 5.5*b7961*b6401 + 7*b7962*b6402
       + 7*b7963*b6403 + 5.5*b7964*b6404 + 6*b7965*b6405 + 7*b7966*b6406 + 5*
      b7967*b6407 + 7*b7968*b6408 + 8*b7969*b6409 + 7*b7970*b6410 + 6*b7971*
      b6411 + 6.5*b7972*b6412 + 7.5*b7973*b6413 + 6*b7974*b6414 + 5.5*b7975*
      b6415 + 7.5*b7976*b6416 + 6*b7977*b6417 + 5.5*b7978*b6418 + 5*b7979*b6419
       + 7*b7980*b6420 + 5.5*b7981*b6421 + 7*b7982*b6422 + 6.5*b7983*b6423 + 7*
      b7984*b6424 + 6*b7985*b6425 + 6.5*b7986*b6426 + 5.5*b7987*b6427 + 8*b7988
      *b6428 + 8*b7989*b6429 + 6.5*b7990*b6430 + 7.5*b7991*b6431 + 6.5*b7992*
      b6432 + 7.5*b7993*b6433 + 5.5*b7994*b6434 + 5.5*b7995*b6435 + 5*b7996*
      b6436 + 5.5*b7997*b6437 + 7*b7998*b6438 + 8*b7999*b6439 + 5.5*b8000*b6440
       + 7*b8001*b6441 + 8*b8002*b6442 + 7*b8003*b6443 + 8*b8004*b6444 + 6*
      b8005*b6445 + 7*b8006*b6446 + 7*b8007*b6447 + 5.5*b8008*b6448 + 8*b8009*
      b6449 + 5.5*b8010*b6450 + 6*b8011*b6451 + 6.5*b8012*b6452 + 5*b8013*b6453
       + 6*b8014*b6454 + 6.5*b8015*b6455 + 6*b8016*b6456 + 6*b8017*b6457 + 5*
      b8018*b6458 + 6*b8019*b6459 + 7*b8020*b6460 + 6*b8021*b6461 + 7.5*b8022*
      b6462 + 6.5*b8023*b6463 + 6.5*b8024*b6464 + 6*b8025*b6465 + 6.5*b8026*
      b6466 + 5*b8027*b6467 + 5.5*b8028*b6468 + 5*b8029*b6469 + 5.5*b8030*b6470
       + 5.5*b8031*b6471 + 7.5*b8032*b6472 + 5*b8033*b6473 + 7*b8034*b6474 + 
      7.5*b8035*b6475 + 5*b8036*b6476 + 6.5*b8037*b6477 + 5*b8038*b6478 + 7.5*
      b8039*b6479 + 6*b8040*b6480 + 5.5*b8041*b6481 + 7.5*b8042*b6482 + 7*b8043
      *b6483 + 7*b8044*b6484 + 7.5*b8045*b6485 + 6*b8046*b6486 + 6.5*b8047*
      b6487 + 6.5*b8048*b6488 + 8*b8049*b6489 + 8*b8050*b6490 + 6*b8051*b6491
       + 7*b8052*b6492 + 8*b8053*b6493 + 7.5*b8054*b6494 + 5.5*b8055*b6495 + 
      7.5*b8056*b6496 + 8*b8057*b6497 + 7.5*b8058*b6498 + 7*b8059*b6499 + 6*
      b8060*b6500 + 6*b8061*b6501 + 6*b8062*b6502 + 7.5*b8063*b6503 + 6.5*b8064
      *b6504 + 5*b8065*b6505 + 6*b8066*b6506 + 6.5*b8067*b6507 + 6*b8068*b6508
       + 7*b8069*b6509 + 5*b8070*b6510 + 6*b8071*b6511 + 5.5*b8072*b6512 + 6.5*
      b8073*b6513 + 7.5*b8074*b6514 + 6.5*b8075*b6515 + 7*b8076*b6516 + 8*b8077
      *b6517 + 7.5*b8078*b6518 + 8*b8079*b6519 + 6.5*b8080*b6520 + 7*b8081*
      b6521 + 6.5*b8082*b6522 + 7*b8083*b6523 + 7*b8084*b6524 + 5*b8085*b6525
       + 5*b8086*b6526 + 7*b8087*b6527 + 7*b8088*b6528 + 5.5*b8089*b6529 + 6*
      b8090*b6530 + 7*b8091*b6531 + 6.5*b8092*b6532 + 8*b8093*b6533 + 6*b8094*
      b6534 + 6.5*b8095*b6535 + 7.5*b8096*b6536 + 6.5*b8097*b6537 + 6.5*b8098*
      b6538 + 8*b8099*b6539 + 6*b8100*b6540 + 8*b8101*b6541 + 6*b8102*b6542 + 7
      *b8103*b6543 + 7.5*b8104*b6544 + 6*b8105*b6545 + 7*b8106*b6546 + 8*b8107*
      b6547 + 7*b8108*b6548 + 6.5*b8109*b6549 + 7*b8110*b6550 + 7*b8111*b6551
       + 5*b8112*b6552 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e44.. 5*b781*b7957 + 6.5*b782*b7958 + 7.5*b783*b7959 + 8*b784*b7960 + 5.5*b785*
      b7961 + 7*b786*b7962 + 7*b787*b7963 + 5.5*b788*b7964 + 6*b789*b7965 + 7*
      b790*b7966 + 5*b791*b7967 + 7*b792*b7968 + 8*b793*b7969 + 7*b794*b7970 + 
      6*b795*b7971 + 6.5*b796*b7972 + 7.5*b797*b7973 + 6*b798*b7974 + 5.5*b799*
      b7975 + 7.5*b800*b7976 + 6*b801*b7977 + 5.5*b802*b7978 + 5*b803*b7979 + 7
      *b804*b7980 + 5.5*b805*b7981 + 7*b806*b7982 + 6.5*b807*b7983 + 7*b808*
      b7984 + 6*b809*b7985 + 6.5*b810*b7986 + 5.5*b811*b7987 + 8*b812*b7988 + 8
      *b813*b7989 + 6.5*b814*b7990 + 7.5*b815*b7991 + 6.5*b816*b7992 + 7.5*b817
      *b7993 + 5.5*b818*b7994 + 5.5*b819*b7995 + 5*b820*b7996 + 5.5*b821*b7997
       + 7*b822*b7998 + 8*b823*b7999 + 5.5*b824*b8000 + 7*b825*b8001 + 8*b826*
      b8002 + 7*b827*b8003 + 8*b828*b8004 + 6*b829*b8005 + 7*b830*b8006 + 7*
      b831*b8007 + 5.5*b832*b8008 + 8*b833*b8009 + 5.5*b834*b8010 + 6*b835*
      b8011 + 6.5*b836*b8012 + 5*b837*b8013 + 6*b838*b8014 + 6.5*b839*b8015 + 6
      *b840*b8016 + 6*b841*b8017 + 5*b842*b8018 + 6*b843*b8019 + 7*b844*b8020
       + 6*b845*b8021 + 7.5*b846*b8022 + 6.5*b847*b8023 + 6.5*b848*b8024 + 6*
      b849*b8025 + 6.5*b850*b8026 + 5*b851*b8027 + 5.5*b852*b8028 + 5*b853*
      b8029 + 5.5*b854*b8030 + 5.5*b855*b8031 + 7.5*b856*b8032 + 5*b857*b8033
       + 7*b858*b8034 + 7.5*b859*b8035 + 5*b860*b8036 + 6.5*b861*b8037 + 5*b862
      *b8038 + 7.5*b863*b8039 + 6*b864*b8040 + 5.5*b865*b8041 + 7.5*b866*b8042
       + 7*b867*b8043 + 7*b868*b8044 + 7.5*b869*b8045 + 6*b870*b8046 + 6.5*b871
      *b8047 + 6.5*b872*b8048 + 8*b873*b8049 + 8*b874*b8050 + 6*b875*b8051 + 7*
      b876*b8052 + 8*b877*b8053 + 7.5*b878*b8054 + 5.5*b879*b8055 + 7.5*b880*
      b8056 + 8*b881*b8057 + 7.5*b882*b8058 + 7*b883*b8059 + 6*b884*b8060 + 6*
      b885*b8061 + 6*b886*b8062 + 7.5*b887*b8063 + 6.5*b888*b8064 + 5*b889*
      b8065 + 6*b890*b8066 + 6.5*b891*b8067 + 6*b892*b8068 + 7*b893*b8069 + 5*
      b894*b8070 + 6*b895*b8071 + 5.5*b896*b8072 + 6.5*b897*b8073 + 7.5*b898*
      b8074 + 6.5*b899*b8075 + 7*b900*b8076 + 8*b901*b8077 + 7.5*b902*b8078 + 8
      *b903*b8079 + 6.5*b904*b8080 + 7*b905*b8081 + 6.5*b906*b8082 + 7*b907*
      b8083 + 7*b908*b8084 + 5*b909*b8085 + 5*b910*b8086 + 7*b911*b8087 + 7*
      b912*b8088 + 5.5*b913*b8089 + 6*b914*b8090 + 7*b915*b8091 + 6.5*b916*
      b8092 + 8*b917*b8093 + 6*b918*b8094 + 6.5*b919*b8095 + 7.5*b920*b8096 + 
      6.5*b921*b8097 + 6.5*b922*b8098 + 8*b923*b8099 + 6*b924*b8100 + 8*b925*
      b8101 + 6*b926*b8102 + 7*b927*b8103 + 7.5*b928*b8104 + 6*b929*b8105 + 7*
      b930*b8106 + 8*b931*b8107 + 7*b932*b8108 + 6.5*b933*b8109 + 7*b934*b8110
       + 7*b935*b8111 + 5*b936*b8112 + 5*b7957*b781 + 6.5*b7958*b782 + 7.5*
      b7959*b783 + 8*b7960*b784 + 5.5*b7961*b785 + 7*b7962*b786 + 7*b7963*b787
       + 5.5*b7964*b788 + 6*b7965*b789 + 7*b7966*b790 + 5*b7967*b791 + 7*b7968*
      b792 + 8*b7969*b793 + 7*b7970*b794 + 6*b7971*b795 + 6.5*b7972*b796 + 7.5*
      b7973*b797 + 6*b7974*b798 + 5.5*b7975*b799 + 7.5*b7976*b800 + 6*b7977*
      b801 + 5.5*b7978*b802 + 5*b7979*b803 + 7*b7980*b804 + 5.5*b7981*b805 + 7*
      b7982*b806 + 6.5*b7983*b807 + 7*b7984*b808 + 6*b7985*b809 + 6.5*b7986*
      b810 + 5.5*b7987*b811 + 8*b7988*b812 + 8*b7989*b813 + 6.5*b7990*b814 + 
      7.5*b7991*b815 + 6.5*b7992*b816 + 7.5*b7993*b817 + 5.5*b7994*b818 + 5.5*
      b7995*b819 + 5*b7996*b820 + 5.5*b7997*b821 + 7*b7998*b822 + 8*b7999*b823
       + 5.5*b8000*b824 + 7*b8001*b825 + 8*b8002*b826 + 7*b8003*b827 + 8*b8004*
      b828 + 6*b8005*b829 + 7*b8006*b830 + 7*b8007*b831 + 5.5*b8008*b832 + 8*
      b8009*b833 + 5.5*b8010*b834 + 6*b8011*b835 + 6.5*b8012*b836 + 5*b8013*
      b837 + 6*b8014*b838 + 6.5*b8015*b839 + 6*b8016*b840 + 6*b8017*b841 + 5*
      b8018*b842 + 6*b8019*b843 + 7*b8020*b844 + 6*b8021*b845 + 7.5*b8022*b846
       + 6.5*b8023*b847 + 6.5*b8024*b848 + 6*b8025*b849 + 6.5*b8026*b850 + 5*
      b8027*b851 + 5.5*b8028*b852 + 5*b8029*b853 + 5.5*b8030*b854 + 5.5*b8031*
      b855 + 7.5*b8032*b856 + 5*b8033*b857 + 7*b8034*b858 + 7.5*b8035*b859 + 5*
      b8036*b860 + 6.5*b8037*b861 + 5*b8038*b862 + 7.5*b8039*b863 + 6*b8040*
      b864 + 5.5*b8041*b865 + 7.5*b8042*b866 + 7*b8043*b867 + 7*b8044*b868 + 
      7.5*b8045*b869 + 6*b8046*b870 + 6.5*b8047*b871 + 6.5*b8048*b872 + 8*b8049
      *b873 + 8*b8050*b874 + 6*b8051*b875 + 7*b8052*b876 + 8*b8053*b877 + 7.5*
      b8054*b878 + 5.5*b8055*b879 + 7.5*b8056*b880 + 8*b8057*b881 + 7.5*b8058*
      b882 + 7*b8059*b883 + 6*b8060*b884 + 6*b8061*b885 + 6*b8062*b886 + 7.5*
      b8063*b887 + 6.5*b8064*b888 + 5*b8065*b889 + 6*b8066*b890 + 6.5*b8067*
      b891 + 6*b8068*b892 + 7*b8069*b893 + 5*b8070*b894 + 6*b8071*b895 + 5.5*
      b8072*b896 + 6.5*b8073*b897 + 7.5*b8074*b898 + 6.5*b8075*b899 + 7*b8076*
      b900 + 8*b8077*b901 + 7.5*b8078*b902 + 8*b8079*b903 + 6.5*b8080*b904 + 7*
      b8081*b905 + 6.5*b8082*b906 + 7*b8083*b907 + 7*b8084*b908 + 5*b8085*b909
       + 5*b8086*b910 + 7*b8087*b911 + 7*b8088*b912 + 5.5*b8089*b913 + 6*b8090*
      b914 + 7*b8091*b915 + 6.5*b8092*b916 + 8*b8093*b917 + 6*b8094*b918 + 6.5*
      b8095*b919 + 7.5*b8096*b920 + 6.5*b8097*b921 + 6.5*b8098*b922 + 8*b8099*
      b923 + 6*b8100*b924 + 8*b8101*b925 + 6*b8102*b926 + 7*b8103*b927 + 7.5*
      b8104*b928 + 6*b8105*b929 + 7*b8106*b930 + 8*b8107*b931 + 7*b8108*b932 + 
      6.5*b8109*b933 + 7*b8110*b934 + 7*b8111*b935 + 5*b8112*b936 + 10*b1
       + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7 + 11*b8 + 12*b9 + 14*b10
       + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15 + 13*b16 + 15*b17 + 12*b18
       + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23 + 14*b24 + 11*b25 + 14*b26
       + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31 + 16*b32 + 16*b33 + 13*b34
       + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39 + 10*b40 + 11*b41 + 14*b42
       + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47 + 16*b48 + 12*b49 + 14*b50
       + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55 + 13*b56 + 10*b57 + 12*b58
       + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63 + 14*b64 + 12*b65 + 15*b66
       + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71 + 11*b72 + 10*b73 + 11*b74
       + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79 + 10*b80 + 13*b81 + 10*b82
       + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87 + 14*b88 + 15*b89 + 12*b90
       + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95 + 14*b96 + 16*b97 + 15*b98
       + 11*b99 + 15*b100 + 16*b101 + 15*b102 + 14*b103 + 12*b104 + 12*b105
       + 12*b106 + 15*b107 + 13*b108 + 10*b109 + 12*b110 + 13*b111 + 12*b112
       + 14*b113 + 10*b114 + 12*b115 + 11*b116 + 13*b117 + 15*b118 + 13*b119
       + 14*b120 + 16*b121 + 15*b122 + 16*b123 + 13*b124 + 14*b125 + 13*b126
       + 14*b127 + 14*b128 + 10*b129 + 10*b130 + 14*b131 + 14*b132 + 11*b133
       + 12*b134 + 14*b135 + 13*b136 + 16*b137 + 12*b138 + 13*b139 + 15*b140
       + 13*b141 + 13*b142 + 16*b143 + 12*b144 + 16*b145 + 12*b146 + 14*b147
       + 15*b148 + 12*b149 + 14*b150 + 16*b151 + 14*b152 + 13*b153 + 14*b154
       + 14*b155 + 10*b156 - x23869 =L= 0;

e45.. 5*b1561*b7957 + 6.5*b1562*b7958 + 7.5*b1563*b7959 + 8*b1564*b7960 + 5.5*
      b1565*b7961 + 7*b1566*b7962 + 7*b1567*b7963 + 5.5*b1568*b7964 + 6*b1569*
      b7965 + 7*b1570*b7966 + 5*b1571*b7967 + 7*b1572*b7968 + 8*b1573*b7969 + 7
      *b1574*b7970 + 6*b1575*b7971 + 6.5*b1576*b7972 + 7.5*b1577*b7973 + 6*
      b1578*b7974 + 5.5*b1579*b7975 + 7.5*b1580*b7976 + 6*b1581*b7977 + 5.5*
      b1582*b7978 + 5*b1583*b7979 + 7*b1584*b7980 + 5.5*b1585*b7981 + 7*b1586*
      b7982 + 6.5*b1587*b7983 + 7*b1588*b7984 + 6*b1589*b7985 + 6.5*b1590*b7986
       + 5.5*b1591*b7987 + 8*b1592*b7988 + 8*b1593*b7989 + 6.5*b1594*b7990 + 
      7.5*b1595*b7991 + 6.5*b1596*b7992 + 7.5*b1597*b7993 + 5.5*b1598*b7994 + 
      5.5*b1599*b7995 + 5*b1600*b7996 + 5.5*b1601*b7997 + 7*b1602*b7998 + 8*
      b1603*b7999 + 5.5*b1604*b8000 + 7*b1605*b8001 + 8*b1606*b8002 + 7*b1607*
      b8003 + 8*b1608*b8004 + 6*b1609*b8005 + 7*b1610*b8006 + 7*b1611*b8007 + 
      5.5*b1612*b8008 + 8*b1613*b8009 + 5.5*b1614*b8010 + 6*b1615*b8011 + 6.5*
      b1616*b8012 + 5*b1617*b8013 + 6*b1618*b8014 + 6.5*b1619*b8015 + 6*b1620*
      b8016 + 6*b1621*b8017 + 5*b1622*b8018 + 6*b1623*b8019 + 7*b1624*b8020 + 6
      *b1625*b8021 + 7.5*b1626*b8022 + 6.5*b1627*b8023 + 6.5*b1628*b8024 + 6*
      b1629*b8025 + 6.5*b1630*b8026 + 5*b1631*b8027 + 5.5*b1632*b8028 + 5*b1633
      *b8029 + 5.5*b1634*b8030 + 5.5*b1635*b8031 + 7.5*b1636*b8032 + 5*b1637*
      b8033 + 7*b1638*b8034 + 7.5*b1639*b8035 + 5*b1640*b8036 + 6.5*b1641*b8037
       + 5*b1642*b8038 + 7.5*b1643*b8039 + 6*b1644*b8040 + 5.5*b1645*b8041 + 
      7.5*b1646*b8042 + 7*b1647*b8043 + 7*b1648*b8044 + 7.5*b1649*b8045 + 6*
      b1650*b8046 + 6.5*b1651*b8047 + 6.5*b1652*b8048 + 8*b1653*b8049 + 8*b1654
      *b8050 + 6*b1655*b8051 + 7*b1656*b8052 + 8*b1657*b8053 + 7.5*b1658*b8054
       + 5.5*b1659*b8055 + 7.5*b1660*b8056 + 8*b1661*b8057 + 7.5*b1662*b8058 + 
      7*b1663*b8059 + 6*b1664*b8060 + 6*b1665*b8061 + 6*b1666*b8062 + 7.5*b1667
      *b8063 + 6.5*b1668*b8064 + 5*b1669*b8065 + 6*b1670*b8066 + 6.5*b1671*
      b8067 + 6*b1672*b8068 + 7*b1673*b8069 + 5*b1674*b8070 + 6*b1675*b8071 + 
      5.5*b1676*b8072 + 6.5*b1677*b8073 + 7.5*b1678*b8074 + 6.5*b1679*b8075 + 7
      *b1680*b8076 + 8*b1681*b8077 + 7.5*b1682*b8078 + 8*b1683*b8079 + 6.5*
      b1684*b8080 + 7*b1685*b8081 + 6.5*b1686*b8082 + 7*b1687*b8083 + 7*b1688*
      b8084 + 5*b1689*b8085 + 5*b1690*b8086 + 7*b1691*b8087 + 7*b1692*b8088 + 
      5.5*b1693*b8089 + 6*b1694*b8090 + 7*b1695*b8091 + 6.5*b1696*b8092 + 8*
      b1697*b8093 + 6*b1698*b8094 + 6.5*b1699*b8095 + 7.5*b1700*b8096 + 6.5*
      b1701*b8097 + 6.5*b1702*b8098 + 8*b1703*b8099 + 6*b1704*b8100 + 8*b1705*
      b8101 + 6*b1706*b8102 + 7*b1707*b8103 + 7.5*b1708*b8104 + 6*b1709*b8105
       + 7*b1710*b8106 + 8*b1711*b8107 + 7*b1712*b8108 + 6.5*b1713*b8109 + 7*
      b1714*b8110 + 7*b1715*b8111 + 5*b1716*b8112 + 5*b7957*b1561 + 6.5*b7958*
      b1562 + 7.5*b7959*b1563 + 8*b7960*b1564 + 5.5*b7961*b1565 + 7*b7962*b1566
       + 7*b7963*b1567 + 5.5*b7964*b1568 + 6*b7965*b1569 + 7*b7966*b1570 + 5*
      b7967*b1571 + 7*b7968*b1572 + 8*b7969*b1573 + 7*b7970*b1574 + 6*b7971*
      b1575 + 6.5*b7972*b1576 + 7.5*b7973*b1577 + 6*b7974*b1578 + 5.5*b7975*
      b1579 + 7.5*b7976*b1580 + 6*b7977*b1581 + 5.5*b7978*b1582 + 5*b7979*b1583
       + 7*b7980*b1584 + 5.5*b7981*b1585 + 7*b7982*b1586 + 6.5*b7983*b1587 + 7*
      b7984*b1588 + 6*b7985*b1589 + 6.5*b7986*b1590 + 5.5*b7987*b1591 + 8*b7988
      *b1592 + 8*b7989*b1593 + 6.5*b7990*b1594 + 7.5*b7991*b1595 + 6.5*b7992*
      b1596 + 7.5*b7993*b1597 + 5.5*b7994*b1598 + 5.5*b7995*b1599 + 5*b7996*
      b1600 + 5.5*b7997*b1601 + 7*b7998*b1602 + 8*b7999*b1603 + 5.5*b8000*b1604
       + 7*b8001*b1605 + 8*b8002*b1606 + 7*b8003*b1607 + 8*b8004*b1608 + 6*
      b8005*b1609 + 7*b8006*b1610 + 7*b8007*b1611 + 5.5*b8008*b1612 + 8*b8009*
      b1613 + 5.5*b8010*b1614 + 6*b8011*b1615 + 6.5*b8012*b1616 + 5*b8013*b1617
       + 6*b8014*b1618 + 6.5*b8015*b1619 + 6*b8016*b1620 + 6*b8017*b1621 + 5*
      b8018*b1622 + 6*b8019*b1623 + 7*b8020*b1624 + 6*b8021*b1625 + 7.5*b8022*
      b1626 + 6.5*b8023*b1627 + 6.5*b8024*b1628 + 6*b8025*b1629 + 6.5*b8026*
      b1630 + 5*b8027*b1631 + 5.5*b8028*b1632 + 5*b8029*b1633 + 5.5*b8030*b1634
       + 5.5*b8031*b1635 + 7.5*b8032*b1636 + 5*b8033*b1637 + 7*b8034*b1638 + 
      7.5*b8035*b1639 + 5*b8036*b1640 + 6.5*b8037*b1641 + 5*b8038*b1642 + 7.5*
      b8039*b1643 + 6*b8040*b1644 + 5.5*b8041*b1645 + 7.5*b8042*b1646 + 7*b8043
      *b1647 + 7*b8044*b1648 + 7.5*b8045*b1649 + 6*b8046*b1650 + 6.5*b8047*
      b1651 + 6.5*b8048*b1652 + 8*b8049*b1653 + 8*b8050*b1654 + 6*b8051*b1655
       + 7*b8052*b1656 + 8*b8053*b1657 + 7.5*b8054*b1658 + 5.5*b8055*b1659 + 
      7.5*b8056*b1660 + 8*b8057*b1661 + 7.5*b8058*b1662 + 7*b8059*b1663 + 6*
      b8060*b1664 + 6*b8061*b1665 + 6*b8062*b1666 + 7.5*b8063*b1667 + 6.5*b8064
      *b1668 + 5*b8065*b1669 + 6*b8066*b1670 + 6.5*b8067*b1671 + 6*b8068*b1672
       + 7*b8069*b1673 + 5*b8070*b1674 + 6*b8071*b1675 + 5.5*b8072*b1676 + 6.5*
      b8073*b1677 + 7.5*b8074*b1678 + 6.5*b8075*b1679 + 7*b8076*b1680 + 8*b8077
      *b1681 + 7.5*b8078*b1682 + 8*b8079*b1683 + 6.5*b8080*b1684 + 7*b8081*
      b1685 + 6.5*b8082*b1686 + 7*b8083*b1687 + 7*b8084*b1688 + 5*b8085*b1689
       + 5*b8086*b1690 + 7*b8087*b1691 + 7*b8088*b1692 + 5.5*b8089*b1693 + 6*
      b8090*b1694 + 7*b8091*b1695 + 6.5*b8092*b1696 + 8*b8093*b1697 + 6*b8094*
      b1698 + 6.5*b8095*b1699 + 7.5*b8096*b1700 + 6.5*b8097*b1701 + 6.5*b8098*
      b1702 + 8*b8099*b1703 + 6*b8100*b1704 + 8*b8101*b1705 + 6*b8102*b1706 + 7
      *b8103*b1707 + 7.5*b8104*b1708 + 6*b8105*b1709 + 7*b8106*b1710 + 8*b8107*
      b1711 + 7*b8108*b1712 + 6.5*b8109*b1713 + 7*b8110*b1714 + 7*b8111*b1715
       + 5*b8112*b1716 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e46.. 5*b2029*b7957 + 6.5*b2030*b7958 + 7.5*b2031*b7959 + 8*b2032*b7960 + 5.5*
      b2033*b7961 + 7*b2034*b7962 + 7*b2035*b7963 + 5.5*b2036*b7964 + 6*b2037*
      b7965 + 7*b2038*b7966 + 5*b2039*b7967 + 7*b2040*b7968 + 8*b2041*b7969 + 7
      *b2042*b7970 + 6*b2043*b7971 + 6.5*b2044*b7972 + 7.5*b2045*b7973 + 6*
      b2046*b7974 + 5.5*b2047*b7975 + 7.5*b2048*b7976 + 6*b2049*b7977 + 5.5*
      b2050*b7978 + 5*b2051*b7979 + 7*b2052*b7980 + 5.5*b2053*b7981 + 7*b2054*
      b7982 + 6.5*b2055*b7983 + 7*b2056*b7984 + 6*b2057*b7985 + 6.5*b2058*b7986
       + 5.5*b2059*b7987 + 8*b2060*b7988 + 8*b2061*b7989 + 6.5*b2062*b7990 + 
      7.5*b2063*b7991 + 6.5*b2064*b7992 + 7.5*b2065*b7993 + 5.5*b2066*b7994 + 
      5.5*b2067*b7995 + 5*b2068*b7996 + 5.5*b2069*b7997 + 7*b2070*b7998 + 8*
      b2071*b7999 + 5.5*b2072*b8000 + 7*b2073*b8001 + 8*b2074*b8002 + 7*b2075*
      b8003 + 8*b2076*b8004 + 6*b2077*b8005 + 7*b2078*b8006 + 7*b2079*b8007 + 
      5.5*b2080*b8008 + 8*b2081*b8009 + 5.5*b2082*b8010 + 6*b2083*b8011 + 6.5*
      b2084*b8012 + 5*b2085*b8013 + 6*b2086*b8014 + 6.5*b2087*b8015 + 6*b2088*
      b8016 + 6*b2089*b8017 + 5*b2090*b8018 + 6*b2091*b8019 + 7*b2092*b8020 + 6
      *b2093*b8021 + 7.5*b2094*b8022 + 6.5*b2095*b8023 + 6.5*b2096*b8024 + 6*
      b2097*b8025 + 6.5*b2098*b8026 + 5*b2099*b8027 + 5.5*b2100*b8028 + 5*b2101
      *b8029 + 5.5*b2102*b8030 + 5.5*b2103*b8031 + 7.5*b2104*b8032 + 5*b2105*
      b8033 + 7*b2106*b8034 + 7.5*b2107*b8035 + 5*b2108*b8036 + 6.5*b2109*b8037
       + 5*b2110*b8038 + 7.5*b2111*b8039 + 6*b2112*b8040 + 5.5*b2113*b8041 + 
      7.5*b2114*b8042 + 7*b2115*b8043 + 7*b2116*b8044 + 7.5*b2117*b8045 + 6*
      b2118*b8046 + 6.5*b2119*b8047 + 6.5*b2120*b8048 + 8*b2121*b8049 + 8*b2122
      *b8050 + 6*b2123*b8051 + 7*b2124*b8052 + 8*b2125*b8053 + 7.5*b2126*b8054
       + 5.5*b2127*b8055 + 7.5*b2128*b8056 + 8*b2129*b8057 + 7.5*b2130*b8058 + 
      7*b2131*b8059 + 6*b2132*b8060 + 6*b2133*b8061 + 6*b2134*b8062 + 7.5*b2135
      *b8063 + 6.5*b2136*b8064 + 5*b2137*b8065 + 6*b2138*b8066 + 6.5*b2139*
      b8067 + 6*b2140*b8068 + 7*b2141*b8069 + 5*b2142*b8070 + 6*b2143*b8071 + 
      5.5*b2144*b8072 + 6.5*b2145*b8073 + 7.5*b2146*b8074 + 6.5*b2147*b8075 + 7
      *b2148*b8076 + 8*b2149*b8077 + 7.5*b2150*b8078 + 8*b2151*b8079 + 6.5*
      b2152*b8080 + 7*b2153*b8081 + 6.5*b2154*b8082 + 7*b2155*b8083 + 7*b2156*
      b8084 + 5*b2157*b8085 + 5*b2158*b8086 + 7*b2159*b8087 + 7*b2160*b8088 + 
      5.5*b2161*b8089 + 6*b2162*b8090 + 7*b2163*b8091 + 6.5*b2164*b8092 + 8*
      b2165*b8093 + 6*b2166*b8094 + 6.5*b2167*b8095 + 7.5*b2168*b8096 + 6.5*
      b2169*b8097 + 6.5*b2170*b8098 + 8*b2171*b8099 + 6*b2172*b8100 + 8*b2173*
      b8101 + 6*b2174*b8102 + 7*b2175*b8103 + 7.5*b2176*b8104 + 6*b2177*b8105
       + 7*b2178*b8106 + 8*b2179*b8107 + 7*b2180*b8108 + 6.5*b2181*b8109 + 7*
      b2182*b8110 + 7*b2183*b8111 + 5*b2184*b8112 + 5*b7957*b2029 + 6.5*b7958*
      b2030 + 7.5*b7959*b2031 + 8*b7960*b2032 + 5.5*b7961*b2033 + 7*b7962*b2034
       + 7*b7963*b2035 + 5.5*b7964*b2036 + 6*b7965*b2037 + 7*b7966*b2038 + 5*
      b7967*b2039 + 7*b7968*b2040 + 8*b7969*b2041 + 7*b7970*b2042 + 6*b7971*
      b2043 + 6.5*b7972*b2044 + 7.5*b7973*b2045 + 6*b7974*b2046 + 5.5*b7975*
      b2047 + 7.5*b7976*b2048 + 6*b7977*b2049 + 5.5*b7978*b2050 + 5*b7979*b2051
       + 7*b7980*b2052 + 5.5*b7981*b2053 + 7*b7982*b2054 + 6.5*b7983*b2055 + 7*
      b7984*b2056 + 6*b7985*b2057 + 6.5*b7986*b2058 + 5.5*b7987*b2059 + 8*b7988
      *b2060 + 8*b7989*b2061 + 6.5*b7990*b2062 + 7.5*b7991*b2063 + 6.5*b7992*
      b2064 + 7.5*b7993*b2065 + 5.5*b7994*b2066 + 5.5*b7995*b2067 + 5*b7996*
      b2068 + 5.5*b7997*b2069 + 7*b7998*b2070 + 8*b7999*b2071 + 5.5*b8000*b2072
       + 7*b8001*b2073 + 8*b8002*b2074 + 7*b8003*b2075 + 8*b8004*b2076 + 6*
      b8005*b2077 + 7*b8006*b2078 + 7*b8007*b2079 + 5.5*b8008*b2080 + 8*b8009*
      b2081 + 5.5*b8010*b2082 + 6*b8011*b2083 + 6.5*b8012*b2084 + 5*b8013*b2085
       + 6*b8014*b2086 + 6.5*b8015*b2087 + 6*b8016*b2088 + 6*b8017*b2089 + 5*
      b8018*b2090 + 6*b8019*b2091 + 7*b8020*b2092 + 6*b8021*b2093 + 7.5*b8022*
      b2094 + 6.5*b8023*b2095 + 6.5*b8024*b2096 + 6*b8025*b2097 + 6.5*b8026*
      b2098 + 5*b8027*b2099 + 5.5*b8028*b2100 + 5*b8029*b2101 + 5.5*b8030*b2102
       + 5.5*b8031*b2103 + 7.5*b8032*b2104 + 5*b8033*b2105 + 7*b8034*b2106 + 
      7.5*b8035*b2107 + 5*b8036*b2108 + 6.5*b8037*b2109 + 5*b8038*b2110 + 7.5*
      b8039*b2111 + 6*b8040*b2112 + 5.5*b8041*b2113 + 7.5*b8042*b2114 + 7*b8043
      *b2115 + 7*b8044*b2116 + 7.5*b8045*b2117 + 6*b8046*b2118 + 6.5*b8047*
      b2119 + 6.5*b8048*b2120 + 8*b8049*b2121 + 8*b8050*b2122 + 6*b8051*b2123
       + 7*b8052*b2124 + 8*b8053*b2125 + 7.5*b8054*b2126 + 5.5*b8055*b2127 + 
      7.5*b8056*b2128 + 8*b8057*b2129 + 7.5*b8058*b2130 + 7*b8059*b2131 + 6*
      b8060*b2132 + 6*b8061*b2133 + 6*b8062*b2134 + 7.5*b8063*b2135 + 6.5*b8064
      *b2136 + 5*b8065*b2137 + 6*b8066*b2138 + 6.5*b8067*b2139 + 6*b8068*b2140
       + 7*b8069*b2141 + 5*b8070*b2142 + 6*b8071*b2143 + 5.5*b8072*b2144 + 6.5*
      b8073*b2145 + 7.5*b8074*b2146 + 6.5*b8075*b2147 + 7*b8076*b2148 + 8*b8077
      *b2149 + 7.5*b8078*b2150 + 8*b8079*b2151 + 6.5*b8080*b2152 + 7*b8081*
      b2153 + 6.5*b8082*b2154 + 7*b8083*b2155 + 7*b8084*b2156 + 5*b8085*b2157
       + 5*b8086*b2158 + 7*b8087*b2159 + 7*b8088*b2160 + 5.5*b8089*b2161 + 6*
      b8090*b2162 + 7*b8091*b2163 + 6.5*b8092*b2164 + 8*b8093*b2165 + 6*b8094*
      b2166 + 6.5*b8095*b2167 + 7.5*b8096*b2168 + 6.5*b8097*b2169 + 6.5*b8098*
      b2170 + 8*b8099*b2171 + 6*b8100*b2172 + 8*b8101*b2173 + 6*b8102*b2174 + 7
      *b8103*b2175 + 7.5*b8104*b2176 + 6*b8105*b2177 + 7*b8106*b2178 + 8*b8107*
      b2179 + 7*b8108*b2180 + 6.5*b8109*b2181 + 7*b8110*b2182 + 7*b8111*b2183
       + 5*b8112*b2184 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e47.. 5*b3277*b7957 + 6.5*b3278*b7958 + 7.5*b3279*b7959 + 8*b3280*b7960 + 5.5*
      b3281*b7961 + 7*b3282*b7962 + 7*b3283*b7963 + 5.5*b3284*b7964 + 6*b3285*
      b7965 + 7*b3286*b7966 + 5*b3287*b7967 + 7*b3288*b7968 + 8*b3289*b7969 + 7
      *b3290*b7970 + 6*b3291*b7971 + 6.5*b3292*b7972 + 7.5*b3293*b7973 + 6*
      b3294*b7974 + 5.5*b3295*b7975 + 7.5*b3296*b7976 + 6*b3297*b7977 + 5.5*
      b3298*b7978 + 5*b3299*b7979 + 7*b3300*b7980 + 5.5*b3301*b7981 + 7*b3302*
      b7982 + 6.5*b3303*b7983 + 7*b3304*b7984 + 6*b3305*b7985 + 6.5*b3306*b7986
       + 5.5*b3307*b7987 + 8*b3308*b7988 + 8*b3309*b7989 + 6.5*b3310*b7990 + 
      7.5*b3311*b7991 + 6.5*b3312*b7992 + 7.5*b3313*b7993 + 5.5*b3314*b7994 + 
      5.5*b3315*b7995 + 5*b3316*b7996 + 5.5*b3317*b7997 + 7*b3318*b7998 + 8*
      b3319*b7999 + 5.5*b3320*b8000 + 7*b3321*b8001 + 8*b3322*b8002 + 7*b3323*
      b8003 + 8*b3324*b8004 + 6*b3325*b8005 + 7*b3326*b8006 + 7*b3327*b8007 + 
      5.5*b3328*b8008 + 8*b3329*b8009 + 5.5*b3330*b8010 + 6*b3331*b8011 + 6.5*
      b3332*b8012 + 5*b3333*b8013 + 6*b3334*b8014 + 6.5*b3335*b8015 + 6*b3336*
      b8016 + 6*b3337*b8017 + 5*b3338*b8018 + 6*b3339*b8019 + 7*b3340*b8020 + 6
      *b3341*b8021 + 7.5*b3342*b8022 + 6.5*b3343*b8023 + 6.5*b3344*b8024 + 6*
      b3345*b8025 + 6.5*b3346*b8026 + 5*b3347*b8027 + 5.5*b3348*b8028 + 5*b3349
      *b8029 + 5.5*b3350*b8030 + 5.5*b3351*b8031 + 7.5*b3352*b8032 + 5*b3353*
      b8033 + 7*b3354*b8034 + 7.5*b3355*b8035 + 5*b3356*b8036 + 6.5*b3357*b8037
       + 5*b3358*b8038 + 7.5*b3359*b8039 + 6*b3360*b8040 + 5.5*b3361*b8041 + 
      7.5*b3362*b8042 + 7*b3363*b8043 + 7*b3364*b8044 + 7.5*b3365*b8045 + 6*
      b3366*b8046 + 6.5*b3367*b8047 + 6.5*b3368*b8048 + 8*b3369*b8049 + 8*b3370
      *b8050 + 6*b3371*b8051 + 7*b3372*b8052 + 8*b3373*b8053 + 7.5*b3374*b8054
       + 5.5*b3375*b8055 + 7.5*b3376*b8056 + 8*b3377*b8057 + 7.5*b3378*b8058 + 
      7*b3379*b8059 + 6*b3380*b8060 + 6*b3381*b8061 + 6*b3382*b8062 + 7.5*b3383
      *b8063 + 6.5*b3384*b8064 + 5*b3385*b8065 + 6*b3386*b8066 + 6.5*b3387*
      b8067 + 6*b3388*b8068 + 7*b3389*b8069 + 5*b3390*b8070 + 6*b3391*b8071 + 
      5.5*b3392*b8072 + 6.5*b3393*b8073 + 7.5*b3394*b8074 + 6.5*b3395*b8075 + 7
      *b3396*b8076 + 8*b3397*b8077 + 7.5*b3398*b8078 + 8*b3399*b8079 + 6.5*
      b3400*b8080 + 7*b3401*b8081 + 6.5*b3402*b8082 + 7*b3403*b8083 + 7*b3404*
      b8084 + 5*b3405*b8085 + 5*b3406*b8086 + 7*b3407*b8087 + 7*b3408*b8088 + 
      5.5*b3409*b8089 + 6*b3410*b8090 + 7*b3411*b8091 + 6.5*b3412*b8092 + 8*
      b3413*b8093 + 6*b3414*b8094 + 6.5*b3415*b8095 + 7.5*b3416*b8096 + 6.5*
      b3417*b8097 + 6.5*b3418*b8098 + 8*b3419*b8099 + 6*b3420*b8100 + 8*b3421*
      b8101 + 6*b3422*b8102 + 7*b3423*b8103 + 7.5*b3424*b8104 + 6*b3425*b8105
       + 7*b3426*b8106 + 8*b3427*b8107 + 7*b3428*b8108 + 6.5*b3429*b8109 + 7*
      b3430*b8110 + 7*b3431*b8111 + 5*b3432*b8112 + 5*b7957*b3277 + 6.5*b7958*
      b3278 + 7.5*b7959*b3279 + 8*b7960*b3280 + 5.5*b7961*b3281 + 7*b7962*b3282
       + 7*b7963*b3283 + 5.5*b7964*b3284 + 6*b7965*b3285 + 7*b7966*b3286 + 5*
      b7967*b3287 + 7*b7968*b3288 + 8*b7969*b3289 + 7*b7970*b3290 + 6*b7971*
      b3291 + 6.5*b7972*b3292 + 7.5*b7973*b3293 + 6*b7974*b3294 + 5.5*b7975*
      b3295 + 7.5*b7976*b3296 + 6*b7977*b3297 + 5.5*b7978*b3298 + 5*b7979*b3299
       + 7*b7980*b3300 + 5.5*b7981*b3301 + 7*b7982*b3302 + 6.5*b7983*b3303 + 7*
      b7984*b3304 + 6*b7985*b3305 + 6.5*b7986*b3306 + 5.5*b7987*b3307 + 8*b7988
      *b3308 + 8*b7989*b3309 + 6.5*b7990*b3310 + 7.5*b7991*b3311 + 6.5*b7992*
      b3312 + 7.5*b7993*b3313 + 5.5*b7994*b3314 + 5.5*b7995*b3315 + 5*b7996*
      b3316 + 5.5*b7997*b3317 + 7*b7998*b3318 + 8*b7999*b3319 + 5.5*b8000*b3320
       + 7*b8001*b3321 + 8*b8002*b3322 + 7*b8003*b3323 + 8*b8004*b3324 + 6*
      b8005*b3325 + 7*b8006*b3326 + 7*b8007*b3327 + 5.5*b8008*b3328 + 8*b8009*
      b3329 + 5.5*b8010*b3330 + 6*b8011*b3331 + 6.5*b8012*b3332 + 5*b8013*b3333
       + 6*b8014*b3334 + 6.5*b8015*b3335 + 6*b8016*b3336 + 6*b8017*b3337 + 5*
      b8018*b3338 + 6*b8019*b3339 + 7*b8020*b3340 + 6*b8021*b3341 + 7.5*b8022*
      b3342 + 6.5*b8023*b3343 + 6.5*b8024*b3344 + 6*b8025*b3345 + 6.5*b8026*
      b3346 + 5*b8027*b3347 + 5.5*b8028*b3348 + 5*b8029*b3349 + 5.5*b8030*b3350
       + 5.5*b8031*b3351 + 7.5*b8032*b3352 + 5*b8033*b3353 + 7*b8034*b3354 + 
      7.5*b8035*b3355 + 5*b8036*b3356 + 6.5*b8037*b3357 + 5*b8038*b3358 + 7.5*
      b8039*b3359 + 6*b8040*b3360 + 5.5*b8041*b3361 + 7.5*b8042*b3362 + 7*b8043
      *b3363 + 7*b8044*b3364 + 7.5*b8045*b3365 + 6*b8046*b3366 + 6.5*b8047*
      b3367 + 6.5*b8048*b3368 + 8*b8049*b3369 + 8*b8050*b3370 + 6*b8051*b3371
       + 7*b8052*b3372 + 8*b8053*b3373 + 7.5*b8054*b3374 + 5.5*b8055*b3375 + 
      7.5*b8056*b3376 + 8*b8057*b3377 + 7.5*b8058*b3378 + 7*b8059*b3379 + 6*
      b8060*b3380 + 6*b8061*b3381 + 6*b8062*b3382 + 7.5*b8063*b3383 + 6.5*b8064
      *b3384 + 5*b8065*b3385 + 6*b8066*b3386 + 6.5*b8067*b3387 + 6*b8068*b3388
       + 7*b8069*b3389 + 5*b8070*b3390 + 6*b8071*b3391 + 5.5*b8072*b3392 + 6.5*
      b8073*b3393 + 7.5*b8074*b3394 + 6.5*b8075*b3395 + 7*b8076*b3396 + 8*b8077
      *b3397 + 7.5*b8078*b3398 + 8*b8079*b3399 + 6.5*b8080*b3400 + 7*b8081*
      b3401 + 6.5*b8082*b3402 + 7*b8083*b3403 + 7*b8084*b3404 + 5*b8085*b3405
       + 5*b8086*b3406 + 7*b8087*b3407 + 7*b8088*b3408 + 5.5*b8089*b3409 + 6*
      b8090*b3410 + 7*b8091*b3411 + 6.5*b8092*b3412 + 8*b8093*b3413 + 6*b8094*
      b3414 + 6.5*b8095*b3415 + 7.5*b8096*b3416 + 6.5*b8097*b3417 + 6.5*b8098*
      b3418 + 8*b8099*b3419 + 6*b8100*b3420 + 8*b8101*b3421 + 6*b8102*b3422 + 7
      *b8103*b3423 + 7.5*b8104*b3424 + 6*b8105*b3425 + 7*b8106*b3426 + 8*b8107*
      b3427 + 7*b8108*b3428 + 6.5*b8109*b3429 + 7*b8110*b3430 + 7*b8111*b3431
       + 5*b8112*b3432 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e48.. 5*b3901*b7957 + 6.5*b3902*b7958 + 7.5*b3903*b7959 + 8*b3904*b7960 + 5.5*
      b3905*b7961 + 7*b3906*b7962 + 7*b3907*b7963 + 5.5*b3908*b7964 + 6*b3909*
      b7965 + 7*b3910*b7966 + 5*b3911*b7967 + 7*b3912*b7968 + 8*b3913*b7969 + 7
      *b3914*b7970 + 6*b3915*b7971 + 6.5*b3916*b7972 + 7.5*b3917*b7973 + 6*
      b3918*b7974 + 5.5*b3919*b7975 + 7.5*b3920*b7976 + 6*b3921*b7977 + 5.5*
      b3922*b7978 + 5*b3923*b7979 + 7*b3924*b7980 + 5.5*b3925*b7981 + 7*b3926*
      b7982 + 6.5*b3927*b7983 + 7*b3928*b7984 + 6*b3929*b7985 + 6.5*b3930*b7986
       + 5.5*b3931*b7987 + 8*b3932*b7988 + 8*b3933*b7989 + 6.5*b3934*b7990 + 
      7.5*b3935*b7991 + 6.5*b3936*b7992 + 7.5*b3937*b7993 + 5.5*b3938*b7994 + 
      5.5*b3939*b7995 + 5*b3940*b7996 + 5.5*b3941*b7997 + 7*b3942*b7998 + 8*
      b3943*b7999 + 5.5*b3944*b8000 + 7*b3945*b8001 + 8*b3946*b8002 + 7*b3947*
      b8003 + 8*b3948*b8004 + 6*b3949*b8005 + 7*b3950*b8006 + 7*b3951*b8007 + 
      5.5*b3952*b8008 + 8*b3953*b8009 + 5.5*b3954*b8010 + 6*b3955*b8011 + 6.5*
      b3956*b8012 + 5*b3957*b8013 + 6*b3958*b8014 + 6.5*b3959*b8015 + 6*b3960*
      b8016 + 6*b3961*b8017 + 5*b3962*b8018 + 6*b3963*b8019 + 7*b3964*b8020 + 6
      *b3965*b8021 + 7.5*b3966*b8022 + 6.5*b3967*b8023 + 6.5*b3968*b8024 + 6*
      b3969*b8025 + 6.5*b3970*b8026 + 5*b3971*b8027 + 5.5*b3972*b8028 + 5*b3973
      *b8029 + 5.5*b3974*b8030 + 5.5*b3975*b8031 + 7.5*b3976*b8032 + 5*b3977*
      b8033 + 7*b3978*b8034 + 7.5*b3979*b8035 + 5*b3980*b8036 + 6.5*b3981*b8037
       + 5*b3982*b8038 + 7.5*b3983*b8039 + 6*b3984*b8040 + 5.5*b3985*b8041 + 
      7.5*b3986*b8042 + 7*b3987*b8043 + 7*b3988*b8044 + 7.5*b3989*b8045 + 6*
      b3990*b8046 + 6.5*b3991*b8047 + 6.5*b3992*b8048 + 8*b3993*b8049 + 8*b3994
      *b8050 + 6*b3995*b8051 + 7*b3996*b8052 + 8*b3997*b8053 + 7.5*b3998*b8054
       + 5.5*b3999*b8055 + 7.5*b4000*b8056 + 8*b4001*b8057 + 7.5*b4002*b8058 + 
      7*b4003*b8059 + 6*b4004*b8060 + 6*b4005*b8061 + 6*b4006*b8062 + 7.5*b4007
      *b8063 + 6.5*b4008*b8064 + 5*b4009*b8065 + 6*b4010*b8066 + 6.5*b4011*
      b8067 + 6*b4012*b8068 + 7*b4013*b8069 + 5*b4014*b8070 + 6*b4015*b8071 + 
      5.5*b4016*b8072 + 6.5*b4017*b8073 + 7.5*b4018*b8074 + 6.5*b4019*b8075 + 7
      *b4020*b8076 + 8*b4021*b8077 + 7.5*b4022*b8078 + 8*b4023*b8079 + 6.5*
      b4024*b8080 + 7*b4025*b8081 + 6.5*b4026*b8082 + 7*b4027*b8083 + 7*b4028*
      b8084 + 5*b4029*b8085 + 5*b4030*b8086 + 7*b4031*b8087 + 7*b4032*b8088 + 
      5.5*b4033*b8089 + 6*b4034*b8090 + 7*b4035*b8091 + 6.5*b4036*b8092 + 8*
      b4037*b8093 + 6*b4038*b8094 + 6.5*b4039*b8095 + 7.5*b4040*b8096 + 6.5*
      b4041*b8097 + 6.5*b4042*b8098 + 8*b4043*b8099 + 6*b4044*b8100 + 8*b4045*
      b8101 + 6*b4046*b8102 + 7*b4047*b8103 + 7.5*b4048*b8104 + 6*b4049*b8105
       + 7*b4050*b8106 + 8*b4051*b8107 + 7*b4052*b8108 + 6.5*b4053*b8109 + 7*
      b4054*b8110 + 7*b4055*b8111 + 5*b4056*b8112 + 5*b7957*b3901 + 6.5*b7958*
      b3902 + 7.5*b7959*b3903 + 8*b7960*b3904 + 5.5*b7961*b3905 + 7*b7962*b3906
       + 7*b7963*b3907 + 5.5*b7964*b3908 + 6*b7965*b3909 + 7*b7966*b3910 + 5*
      b7967*b3911 + 7*b7968*b3912 + 8*b7969*b3913 + 7*b7970*b3914 + 6*b7971*
      b3915 + 6.5*b7972*b3916 + 7.5*b7973*b3917 + 6*b7974*b3918 + 5.5*b7975*
      b3919 + 7.5*b7976*b3920 + 6*b7977*b3921 + 5.5*b7978*b3922 + 5*b7979*b3923
       + 7*b7980*b3924 + 5.5*b7981*b3925 + 7*b7982*b3926 + 6.5*b7983*b3927 + 7*
      b7984*b3928 + 6*b7985*b3929 + 6.5*b7986*b3930 + 5.5*b7987*b3931 + 8*b7988
      *b3932 + 8*b7989*b3933 + 6.5*b7990*b3934 + 7.5*b7991*b3935 + 6.5*b7992*
      b3936 + 7.5*b7993*b3937 + 5.5*b7994*b3938 + 5.5*b7995*b3939 + 5*b7996*
      b3940 + 5.5*b7997*b3941 + 7*b7998*b3942 + 8*b7999*b3943 + 5.5*b8000*b3944
       + 7*b8001*b3945 + 8*b8002*b3946 + 7*b8003*b3947 + 8*b8004*b3948 + 6*
      b8005*b3949 + 7*b8006*b3950 + 7*b8007*b3951 + 5.5*b8008*b3952 + 8*b8009*
      b3953 + 5.5*b8010*b3954 + 6*b8011*b3955 + 6.5*b8012*b3956 + 5*b8013*b3957
       + 6*b8014*b3958 + 6.5*b8015*b3959 + 6*b8016*b3960 + 6*b8017*b3961 + 5*
      b8018*b3962 + 6*b8019*b3963 + 7*b8020*b3964 + 6*b8021*b3965 + 7.5*b8022*
      b3966 + 6.5*b8023*b3967 + 6.5*b8024*b3968 + 6*b8025*b3969 + 6.5*b8026*
      b3970 + 5*b8027*b3971 + 5.5*b8028*b3972 + 5*b8029*b3973 + 5.5*b8030*b3974
       + 5.5*b8031*b3975 + 7.5*b8032*b3976 + 5*b8033*b3977 + 7*b8034*b3978 + 
      7.5*b8035*b3979 + 5*b8036*b3980 + 6.5*b8037*b3981 + 5*b8038*b3982 + 7.5*
      b8039*b3983 + 6*b8040*b3984 + 5.5*b8041*b3985 + 7.5*b8042*b3986 + 7*b8043
      *b3987 + 7*b8044*b3988 + 7.5*b8045*b3989 + 6*b8046*b3990 + 6.5*b8047*
      b3991 + 6.5*b8048*b3992 + 8*b8049*b3993 + 8*b8050*b3994 + 6*b8051*b3995
       + 7*b8052*b3996 + 8*b8053*b3997 + 7.5*b8054*b3998 + 5.5*b8055*b3999 + 
      7.5*b8056*b4000 + 8*b8057*b4001 + 7.5*b8058*b4002 + 7*b8059*b4003 + 6*
      b8060*b4004 + 6*b8061*b4005 + 6*b8062*b4006 + 7.5*b8063*b4007 + 6.5*b8064
      *b4008 + 5*b8065*b4009 + 6*b8066*b4010 + 6.5*b8067*b4011 + 6*b8068*b4012
       + 7*b8069*b4013 + 5*b8070*b4014 + 6*b8071*b4015 + 5.5*b8072*b4016 + 6.5*
      b8073*b4017 + 7.5*b8074*b4018 + 6.5*b8075*b4019 + 7*b8076*b4020 + 8*b8077
      *b4021 + 7.5*b8078*b4022 + 8*b8079*b4023 + 6.5*b8080*b4024 + 7*b8081*
      b4025 + 6.5*b8082*b4026 + 7*b8083*b4027 + 7*b8084*b4028 + 5*b8085*b4029
       + 5*b8086*b4030 + 7*b8087*b4031 + 7*b8088*b4032 + 5.5*b8089*b4033 + 6*
      b8090*b4034 + 7*b8091*b4035 + 6.5*b8092*b4036 + 8*b8093*b4037 + 6*b8094*
      b4038 + 6.5*b8095*b4039 + 7.5*b8096*b4040 + 6.5*b8097*b4041 + 6.5*b8098*
      b4042 + 8*b8099*b4043 + 6*b8100*b4044 + 8*b8101*b4045 + 6*b8102*b4046 + 7
      *b8103*b4047 + 7.5*b8104*b4048 + 6*b8105*b4049 + 7*b8106*b4050 + 8*b8107*
      b4051 + 7*b8108*b4052 + 6.5*b8109*b4053 + 7*b8110*b4054 + 7*b8111*b4055
       + 5*b8112*b4056 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e49.. 5*b4525*b7957 + 6.5*b4526*b7958 + 7.5*b4527*b7959 + 8*b4528*b7960 + 5.5*
      b4529*b7961 + 7*b4530*b7962 + 7*b4531*b7963 + 5.5*b4532*b7964 + 6*b4533*
      b7965 + 7*b4534*b7966 + 5*b4535*b7967 + 7*b4536*b7968 + 8*b4537*b7969 + 7
      *b4538*b7970 + 6*b4539*b7971 + 6.5*b4540*b7972 + 7.5*b4541*b7973 + 6*
      b4542*b7974 + 5.5*b4543*b7975 + 7.5*b4544*b7976 + 6*b4545*b7977 + 5.5*
      b4546*b7978 + 5*b4547*b7979 + 7*b4548*b7980 + 5.5*b4549*b7981 + 7*b4550*
      b7982 + 6.5*b4551*b7983 + 7*b4552*b7984 + 6*b4553*b7985 + 6.5*b4554*b7986
       + 5.5*b4555*b7987 + 8*b4556*b7988 + 8*b4557*b7989 + 6.5*b4558*b7990 + 
      7.5*b4559*b7991 + 6.5*b4560*b7992 + 7.5*b4561*b7993 + 5.5*b4562*b7994 + 
      5.5*b4563*b7995 + 5*b4564*b7996 + 5.5*b4565*b7997 + 7*b4566*b7998 + 8*
      b4567*b7999 + 5.5*b4568*b8000 + 7*b4569*b8001 + 8*b4570*b8002 + 7*b4571*
      b8003 + 8*b4572*b8004 + 6*b4573*b8005 + 7*b4574*b8006 + 7*b4575*b8007 + 
      5.5*b4576*b8008 + 8*b4577*b8009 + 5.5*b4578*b8010 + 6*b4579*b8011 + 6.5*
      b4580*b8012 + 5*b4581*b8013 + 6*b4582*b8014 + 6.5*b4583*b8015 + 6*b4584*
      b8016 + 6*b4585*b8017 + 5*b4586*b8018 + 6*b4587*b8019 + 7*b4588*b8020 + 6
      *b4589*b8021 + 7.5*b4590*b8022 + 6.5*b4591*b8023 + 6.5*b4592*b8024 + 6*
      b4593*b8025 + 6.5*b4594*b8026 + 5*b4595*b8027 + 5.5*b4596*b8028 + 5*b4597
      *b8029 + 5.5*b4598*b8030 + 5.5*b4599*b8031 + 7.5*b4600*b8032 + 5*b4601*
      b8033 + 7*b4602*b8034 + 7.5*b4603*b8035 + 5*b4604*b8036 + 6.5*b4605*b8037
       + 5*b4606*b8038 + 7.5*b4607*b8039 + 6*b4608*b8040 + 5.5*b4609*b8041 + 
      7.5*b4610*b8042 + 7*b4611*b8043 + 7*b4612*b8044 + 7.5*b4613*b8045 + 6*
      b4614*b8046 + 6.5*b4615*b8047 + 6.5*b4616*b8048 + 8*b4617*b8049 + 8*b4618
      *b8050 + 6*b4619*b8051 + 7*b4620*b8052 + 8*b4621*b8053 + 7.5*b4622*b8054
       + 5.5*b4623*b8055 + 7.5*b4624*b8056 + 8*b4625*b8057 + 7.5*b4626*b8058 + 
      7*b4627*b8059 + 6*b4628*b8060 + 6*b4629*b8061 + 6*b4630*b8062 + 7.5*b4631
      *b8063 + 6.5*b4632*b8064 + 5*b4633*b8065 + 6*b4634*b8066 + 6.5*b4635*
      b8067 + 6*b4636*b8068 + 7*b4637*b8069 + 5*b4638*b8070 + 6*b4639*b8071 + 
      5.5*b4640*b8072 + 6.5*b4641*b8073 + 7.5*b4642*b8074 + 6.5*b4643*b8075 + 7
      *b4644*b8076 + 8*b4645*b8077 + 7.5*b4646*b8078 + 8*b4647*b8079 + 6.5*
      b4648*b8080 + 7*b4649*b8081 + 6.5*b4650*b8082 + 7*b4651*b8083 + 7*b4652*
      b8084 + 5*b4653*b8085 + 5*b4654*b8086 + 7*b4655*b8087 + 7*b4656*b8088 + 
      5.5*b4657*b8089 + 6*b4658*b8090 + 7*b4659*b8091 + 6.5*b4660*b8092 + 8*
      b4661*b8093 + 6*b4662*b8094 + 6.5*b4663*b8095 + 7.5*b4664*b8096 + 6.5*
      b4665*b8097 + 6.5*b4666*b8098 + 8*b4667*b8099 + 6*b4668*b8100 + 8*b4669*
      b8101 + 6*b4670*b8102 + 7*b4671*b8103 + 7.5*b4672*b8104 + 6*b4673*b8105
       + 7*b4674*b8106 + 8*b4675*b8107 + 7*b4676*b8108 + 6.5*b4677*b8109 + 7*
      b4678*b8110 + 7*b4679*b8111 + 5*b4680*b8112 + 5*b7957*b4525 + 6.5*b7958*
      b4526 + 7.5*b7959*b4527 + 8*b7960*b4528 + 5.5*b7961*b4529 + 7*b7962*b4530
       + 7*b7963*b4531 + 5.5*b7964*b4532 + 6*b7965*b4533 + 7*b7966*b4534 + 5*
      b7967*b4535 + 7*b7968*b4536 + 8*b7969*b4537 + 7*b7970*b4538 + 6*b7971*
      b4539 + 6.5*b7972*b4540 + 7.5*b7973*b4541 + 6*b7974*b4542 + 5.5*b7975*
      b4543 + 7.5*b7976*b4544 + 6*b7977*b4545 + 5.5*b7978*b4546 + 5*b7979*b4547
       + 7*b7980*b4548 + 5.5*b7981*b4549 + 7*b7982*b4550 + 6.5*b7983*b4551 + 7*
      b7984*b4552 + 6*b7985*b4553 + 6.5*b7986*b4554 + 5.5*b7987*b4555 + 8*b7988
      *b4556 + 8*b7989*b4557 + 6.5*b7990*b4558 + 7.5*b7991*b4559 + 6.5*b7992*
      b4560 + 7.5*b7993*b4561 + 5.5*b7994*b4562 + 5.5*b7995*b4563 + 5*b7996*
      b4564 + 5.5*b7997*b4565 + 7*b7998*b4566 + 8*b7999*b4567 + 5.5*b8000*b4568
       + 7*b8001*b4569 + 8*b8002*b4570 + 7*b8003*b4571 + 8*b8004*b4572 + 6*
      b8005*b4573 + 7*b8006*b4574 + 7*b8007*b4575 + 5.5*b8008*b4576 + 8*b8009*
      b4577 + 5.5*b8010*b4578 + 6*b8011*b4579 + 6.5*b8012*b4580 + 5*b8013*b4581
       + 6*b8014*b4582 + 6.5*b8015*b4583 + 6*b8016*b4584 + 6*b8017*b4585 + 5*
      b8018*b4586 + 6*b8019*b4587 + 7*b8020*b4588 + 6*b8021*b4589 + 7.5*b8022*
      b4590 + 6.5*b8023*b4591 + 6.5*b8024*b4592 + 6*b8025*b4593 + 6.5*b8026*
      b4594 + 5*b8027*b4595 + 5.5*b8028*b4596 + 5*b8029*b4597 + 5.5*b8030*b4598
       + 5.5*b8031*b4599 + 7.5*b8032*b4600 + 5*b8033*b4601 + 7*b8034*b4602 + 
      7.5*b8035*b4603 + 5*b8036*b4604 + 6.5*b8037*b4605 + 5*b8038*b4606 + 7.5*
      b8039*b4607 + 6*b8040*b4608 + 5.5*b8041*b4609 + 7.5*b8042*b4610 + 7*b8043
      *b4611 + 7*b8044*b4612 + 7.5*b8045*b4613 + 6*b8046*b4614 + 6.5*b8047*
      b4615 + 6.5*b8048*b4616 + 8*b8049*b4617 + 8*b8050*b4618 + 6*b8051*b4619
       + 7*b8052*b4620 + 8*b8053*b4621 + 7.5*b8054*b4622 + 5.5*b8055*b4623 + 
      7.5*b8056*b4624 + 8*b8057*b4625 + 7.5*b8058*b4626 + 7*b8059*b4627 + 6*
      b8060*b4628 + 6*b8061*b4629 + 6*b8062*b4630 + 7.5*b8063*b4631 + 6.5*b8064
      *b4632 + 5*b8065*b4633 + 6*b8066*b4634 + 6.5*b8067*b4635 + 6*b8068*b4636
       + 7*b8069*b4637 + 5*b8070*b4638 + 6*b8071*b4639 + 5.5*b8072*b4640 + 6.5*
      b8073*b4641 + 7.5*b8074*b4642 + 6.5*b8075*b4643 + 7*b8076*b4644 + 8*b8077
      *b4645 + 7.5*b8078*b4646 + 8*b8079*b4647 + 6.5*b8080*b4648 + 7*b8081*
      b4649 + 6.5*b8082*b4650 + 7*b8083*b4651 + 7*b8084*b4652 + 5*b8085*b4653
       + 5*b8086*b4654 + 7*b8087*b4655 + 7*b8088*b4656 + 5.5*b8089*b4657 + 6*
      b8090*b4658 + 7*b8091*b4659 + 6.5*b8092*b4660 + 8*b8093*b4661 + 6*b8094*
      b4662 + 6.5*b8095*b4663 + 7.5*b8096*b4664 + 6.5*b8097*b4665 + 6.5*b8098*
      b4666 + 8*b8099*b4667 + 6*b8100*b4668 + 8*b8101*b4669 + 6*b8102*b4670 + 7
      *b8103*b4671 + 7.5*b8104*b4672 + 6*b8105*b4673 + 7*b8106*b4674 + 8*b8107*
      b4675 + 7*b8108*b4676 + 6.5*b8109*b4677 + 7*b8110*b4678 + 7*b8111*b4679
       + 5*b8112*b4680 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e50.. 5*b6865*b7957 + 6.5*b6866*b7958 + 7.5*b6867*b7959 + 8*b6868*b7960 + 5.5*
      b6869*b7961 + 7*b6870*b7962 + 7*b6871*b7963 + 5.5*b6872*b7964 + 6*b6873*
      b7965 + 7*b6874*b7966 + 5*b6875*b7967 + 7*b6876*b7968 + 8*b6877*b7969 + 7
      *b6878*b7970 + 6*b6879*b7971 + 6.5*b6880*b7972 + 7.5*b6881*b7973 + 6*
      b6882*b7974 + 5.5*b6883*b7975 + 7.5*b6884*b7976 + 6*b6885*b7977 + 5.5*
      b6886*b7978 + 5*b6887*b7979 + 7*b6888*b7980 + 5.5*b6889*b7981 + 7*b6890*
      b7982 + 6.5*b6891*b7983 + 7*b6892*b7984 + 6*b6893*b7985 + 6.5*b6894*b7986
       + 5.5*b6895*b7987 + 8*b6896*b7988 + 8*b6897*b7989 + 6.5*b6898*b7990 + 
      7.5*b6899*b7991 + 6.5*b6900*b7992 + 7.5*b6901*b7993 + 5.5*b6902*b7994 + 
      5.5*b6903*b7995 + 5*b6904*b7996 + 5.5*b6905*b7997 + 7*b6906*b7998 + 8*
      b6907*b7999 + 5.5*b6908*b8000 + 7*b6909*b8001 + 8*b6910*b8002 + 7*b6911*
      b8003 + 8*b6912*b8004 + 6*b6913*b8005 + 7*b6914*b8006 + 7*b6915*b8007 + 
      5.5*b6916*b8008 + 8*b6917*b8009 + 5.5*b6918*b8010 + 6*b6919*b8011 + 6.5*
      b6920*b8012 + 5*b6921*b8013 + 6*b6922*b8014 + 6.5*b6923*b8015 + 6*b6924*
      b8016 + 6*b6925*b8017 + 5*b6926*b8018 + 6*b6927*b8019 + 7*b6928*b8020 + 6
      *b6929*b8021 + 7.5*b6930*b8022 + 6.5*b6931*b8023 + 6.5*b6932*b8024 + 6*
      b6933*b8025 + 6.5*b6934*b8026 + 5*b6935*b8027 + 5.5*b6936*b8028 + 5*b6937
      *b8029 + 5.5*b6938*b8030 + 5.5*b6939*b8031 + 7.5*b6940*b8032 + 5*b6941*
      b8033 + 7*b6942*b8034 + 7.5*b6943*b8035 + 5*b6944*b8036 + 6.5*b6945*b8037
       + 5*b6946*b8038 + 7.5*b6947*b8039 + 6*b6948*b8040 + 5.5*b6949*b8041 + 
      7.5*b6950*b8042 + 7*b6951*b8043 + 7*b6952*b8044 + 7.5*b6953*b8045 + 6*
      b6954*b8046 + 6.5*b6955*b8047 + 6.5*b6956*b8048 + 8*b6957*b8049 + 8*b6958
      *b8050 + 6*b6959*b8051 + 7*b6960*b8052 + 8*b6961*b8053 + 7.5*b6962*b8054
       + 5.5*b6963*b8055 + 7.5*b6964*b8056 + 8*b6965*b8057 + 7.5*b6966*b8058 + 
      7*b6967*b8059 + 6*b6968*b8060 + 6*b6969*b8061 + 6*b6970*b8062 + 7.5*b6971
      *b8063 + 6.5*b6972*b8064 + 5*b6973*b8065 + 6*b6974*b8066 + 6.5*b6975*
      b8067 + 6*b6976*b8068 + 7*b6977*b8069 + 5*b6978*b8070 + 6*b6979*b8071 + 
      5.5*b6980*b8072 + 6.5*b6981*b8073 + 7.5*b6982*b8074 + 6.5*b6983*b8075 + 7
      *b6984*b8076 + 8*b6985*b8077 + 7.5*b6986*b8078 + 8*b6987*b8079 + 6.5*
      b6988*b8080 + 7*b6989*b8081 + 6.5*b6990*b8082 + 7*b6991*b8083 + 7*b6992*
      b8084 + 5*b6993*b8085 + 5*b6994*b8086 + 7*b6995*b8087 + 7*b6996*b8088 + 
      5.5*b6997*b8089 + 6*b6998*b8090 + 7*b6999*b8091 + 6.5*b7000*b8092 + 8*
      b7001*b8093 + 6*b7002*b8094 + 6.5*b7003*b8095 + 7.5*b7004*b8096 + 6.5*
      b7005*b8097 + 6.5*b7006*b8098 + 8*b7007*b8099 + 6*b7008*b8100 + 8*b7009*
      b8101 + 6*b7010*b8102 + 7*b7011*b8103 + 7.5*b7012*b8104 + 6*b7013*b8105
       + 7*b7014*b8106 + 8*b7015*b8107 + 7*b7016*b8108 + 6.5*b7017*b8109 + 7*
      b7018*b8110 + 7*b7019*b8111 + 5*b7020*b8112 + 5*b7957*b6865 + 6.5*b7958*
      b6866 + 7.5*b7959*b6867 + 8*b7960*b6868 + 5.5*b7961*b6869 + 7*b7962*b6870
       + 7*b7963*b6871 + 5.5*b7964*b6872 + 6*b7965*b6873 + 7*b7966*b6874 + 5*
      b7967*b6875 + 7*b7968*b6876 + 8*b7969*b6877 + 7*b7970*b6878 + 6*b7971*
      b6879 + 6.5*b7972*b6880 + 7.5*b7973*b6881 + 6*b7974*b6882 + 5.5*b7975*
      b6883 + 7.5*b7976*b6884 + 6*b7977*b6885 + 5.5*b7978*b6886 + 5*b7979*b6887
       + 7*b7980*b6888 + 5.5*b7981*b6889 + 7*b7982*b6890 + 6.5*b7983*b6891 + 7*
      b7984*b6892 + 6*b7985*b6893 + 6.5*b7986*b6894 + 5.5*b7987*b6895 + 8*b7988
      *b6896 + 8*b7989*b6897 + 6.5*b7990*b6898 + 7.5*b7991*b6899 + 6.5*b7992*
      b6900 + 7.5*b7993*b6901 + 5.5*b7994*b6902 + 5.5*b7995*b6903 + 5*b7996*
      b6904 + 5.5*b7997*b6905 + 7*b7998*b6906 + 8*b7999*b6907 + 5.5*b8000*b6908
       + 7*b8001*b6909 + 8*b8002*b6910 + 7*b8003*b6911 + 8*b8004*b6912 + 6*
      b8005*b6913 + 7*b8006*b6914 + 7*b8007*b6915 + 5.5*b8008*b6916 + 8*b8009*
      b6917 + 5.5*b8010*b6918 + 6*b8011*b6919 + 6.5*b8012*b6920 + 5*b8013*b6921
       + 6*b8014*b6922 + 6.5*b8015*b6923 + 6*b8016*b6924 + 6*b8017*b6925 + 5*
      b8018*b6926 + 6*b8019*b6927 + 7*b8020*b6928 + 6*b8021*b6929 + 7.5*b8022*
      b6930 + 6.5*b8023*b6931 + 6.5*b8024*b6932 + 6*b8025*b6933 + 6.5*b8026*
      b6934 + 5*b8027*b6935 + 5.5*b8028*b6936 + 5*b8029*b6937 + 5.5*b8030*b6938
       + 5.5*b8031*b6939 + 7.5*b8032*b6940 + 5*b8033*b6941 + 7*b8034*b6942 + 
      7.5*b8035*b6943 + 5*b8036*b6944 + 6.5*b8037*b6945 + 5*b8038*b6946 + 7.5*
      b8039*b6947 + 6*b8040*b6948 + 5.5*b8041*b6949 + 7.5*b8042*b6950 + 7*b8043
      *b6951 + 7*b8044*b6952 + 7.5*b8045*b6953 + 6*b8046*b6954 + 6.5*b8047*
      b6955 + 6.5*b8048*b6956 + 8*b8049*b6957 + 8*b8050*b6958 + 6*b8051*b6959
       + 7*b8052*b6960 + 8*b8053*b6961 + 7.5*b8054*b6962 + 5.5*b8055*b6963 + 
      7.5*b8056*b6964 + 8*b8057*b6965 + 7.5*b8058*b6966 + 7*b8059*b6967 + 6*
      b8060*b6968 + 6*b8061*b6969 + 6*b8062*b6970 + 7.5*b8063*b6971 + 6.5*b8064
      *b6972 + 5*b8065*b6973 + 6*b8066*b6974 + 6.5*b8067*b6975 + 6*b8068*b6976
       + 7*b8069*b6977 + 5*b8070*b6978 + 6*b8071*b6979 + 5.5*b8072*b6980 + 6.5*
      b8073*b6981 + 7.5*b8074*b6982 + 6.5*b8075*b6983 + 7*b8076*b6984 + 8*b8077
      *b6985 + 7.5*b8078*b6986 + 8*b8079*b6987 + 6.5*b8080*b6988 + 7*b8081*
      b6989 + 6.5*b8082*b6990 + 7*b8083*b6991 + 7*b8084*b6992 + 5*b8085*b6993
       + 5*b8086*b6994 + 7*b8087*b6995 + 7*b8088*b6996 + 5.5*b8089*b6997 + 6*
      b8090*b6998 + 7*b8091*b6999 + 6.5*b8092*b7000 + 8*b8093*b7001 + 6*b8094*
      b7002 + 6.5*b8095*b7003 + 7.5*b8096*b7004 + 6.5*b8097*b7005 + 6.5*b8098*
      b7006 + 8*b8099*b7007 + 6*b8100*b7008 + 8*b8101*b7009 + 6*b8102*b7010 + 7
      *b8103*b7011 + 7.5*b8104*b7012 + 6*b8105*b7013 + 7*b8106*b7014 + 8*b8107*
      b7015 + 7*b8108*b7016 + 6.5*b8109*b7017 + 7*b8110*b7018 + 7*b8111*b7019
       + 5*b8112*b7020 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e51.. 5*b7801*b7957 + 6.5*b7802*b7958 + 7.5*b7803*b7959 + 8*b7804*b7960 + 5.5*
      b7805*b7961 + 7*b7806*b7962 + 7*b7807*b7963 + 5.5*b7808*b7964 + 6*b7809*
      b7965 + 7*b7810*b7966 + 5*b7811*b7967 + 7*b7812*b7968 + 8*b7813*b7969 + 7
      *b7814*b7970 + 6*b7815*b7971 + 6.5*b7816*b7972 + 7.5*b7817*b7973 + 6*
      b7818*b7974 + 5.5*b7819*b7975 + 7.5*b7820*b7976 + 6*b7821*b7977 + 5.5*
      b7822*b7978 + 5*b7823*b7979 + 7*b7824*b7980 + 5.5*b7825*b7981 + 7*b7826*
      b7982 + 6.5*b7827*b7983 + 7*b7828*b7984 + 6*b7829*b7985 + 6.5*b7830*b7986
       + 5.5*b7831*b7987 + 8*b7832*b7988 + 8*b7833*b7989 + 6.5*b7834*b7990 + 
      7.5*b7835*b7991 + 6.5*b7836*b7992 + 7.5*b7837*b7993 + 5.5*b7838*b7994 + 
      5.5*b7839*b7995 + 5*b7840*b7996 + 5.5*b7841*b7997 + 7*b7842*b7998 + 8*
      b7843*b7999 + 5.5*b7844*b8000 + 7*b7845*b8001 + 8*b7846*b8002 + 7*b7847*
      b8003 + 8*b7848*b8004 + 6*b7849*b8005 + 7*b7850*b8006 + 7*b7851*b8007 + 
      5.5*b7852*b8008 + 8*b7853*b8009 + 5.5*b7854*b8010 + 6*b7855*b8011 + 6.5*
      b7856*b8012 + 5*b7857*b8013 + 6*b7858*b8014 + 6.5*b7859*b8015 + 6*b7860*
      b8016 + 6*b7861*b8017 + 5*b7862*b8018 + 6*b7863*b8019 + 7*b7864*b8020 + 6
      *b7865*b8021 + 7.5*b7866*b8022 + 6.5*b7867*b8023 + 6.5*b7868*b8024 + 6*
      b7869*b8025 + 6.5*b7870*b8026 + 5*b7871*b8027 + 5.5*b7872*b8028 + 5*b7873
      *b8029 + 5.5*b7874*b8030 + 5.5*b7875*b8031 + 7.5*b7876*b8032 + 5*b7877*
      b8033 + 7*b7878*b8034 + 7.5*b7879*b8035 + 5*b7880*b8036 + 6.5*b7881*b8037
       + 5*b7882*b8038 + 7.5*b7883*b8039 + 6*b7884*b8040 + 5.5*b7885*b8041 + 
      7.5*b7886*b8042 + 7*b7887*b8043 + 7*b7888*b8044 + 7.5*b7889*b8045 + 6*
      b7890*b8046 + 6.5*b7891*b8047 + 6.5*b7892*b8048 + 8*b7893*b8049 + 8*b7894
      *b8050 + 6*b7895*b8051 + 7*b7896*b8052 + 8*b7897*b8053 + 7.5*b7898*b8054
       + 5.5*b7899*b8055 + 7.5*b7900*b8056 + 8*b7901*b8057 + 7.5*b7902*b8058 + 
      7*b7903*b8059 + 6*b7904*b8060 + 6*b7905*b8061 + 6*b7906*b8062 + 7.5*b7907
      *b8063 + 6.5*b7908*b8064 + 5*b7909*b8065 + 6*b7910*b8066 + 6.5*b7911*
      b8067 + 6*b7912*b8068 + 7*b7913*b8069 + 5*b7914*b8070 + 6*b7915*b8071 + 
      5.5*b7916*b8072 + 6.5*b7917*b8073 + 7.5*b7918*b8074 + 6.5*b7919*b8075 + 7
      *b7920*b8076 + 8*b7921*b8077 + 7.5*b7922*b8078 + 8*b7923*b8079 + 6.5*
      b7924*b8080 + 7*b7925*b8081 + 6.5*b7926*b8082 + 7*b7927*b8083 + 7*b7928*
      b8084 + 5*b7929*b8085 + 5*b7930*b8086 + 7*b7931*b8087 + 7*b7932*b8088 + 
      5.5*b7933*b8089 + 6*b7934*b8090 + 7*b7935*b8091 + 6.5*b7936*b8092 + 8*
      b7937*b8093 + 6*b7938*b8094 + 6.5*b7939*b8095 + 7.5*b7940*b8096 + 6.5*
      b7941*b8097 + 6.5*b7942*b8098 + 8*b7943*b8099 + 6*b7944*b8100 + 8*b7945*
      b8101 + 6*b7946*b8102 + 7*b7947*b8103 + 7.5*b7948*b8104 + 6*b7949*b8105
       + 7*b7950*b8106 + 8*b7951*b8107 + 7*b7952*b8108 + 6.5*b7953*b8109 + 7*
      b7954*b8110 + 7*b7955*b8111 + 5*b7956*b8112 + 5*b7957*b7801 + 6.5*b7958*
      b7802 + 7.5*b7959*b7803 + 8*b7960*b7804 + 5.5*b7961*b7805 + 7*b7962*b7806
       + 7*b7963*b7807 + 5.5*b7964*b7808 + 6*b7965*b7809 + 7*b7966*b7810 + 5*
      b7967*b7811 + 7*b7968*b7812 + 8*b7969*b7813 + 7*b7970*b7814 + 6*b7971*
      b7815 + 6.5*b7972*b7816 + 7.5*b7973*b7817 + 6*b7974*b7818 + 5.5*b7975*
      b7819 + 7.5*b7976*b7820 + 6*b7977*b7821 + 5.5*b7978*b7822 + 5*b7979*b7823
       + 7*b7980*b7824 + 5.5*b7981*b7825 + 7*b7982*b7826 + 6.5*b7983*b7827 + 7*
      b7984*b7828 + 6*b7985*b7829 + 6.5*b7986*b7830 + 5.5*b7987*b7831 + 8*b7988
      *b7832 + 8*b7989*b7833 + 6.5*b7990*b7834 + 7.5*b7991*b7835 + 6.5*b7992*
      b7836 + 7.5*b7993*b7837 + 5.5*b7994*b7838 + 5.5*b7995*b7839 + 5*b7996*
      b7840 + 5.5*b7997*b7841 + 7*b7998*b7842 + 8*b7999*b7843 + 5.5*b8000*b7844
       + 7*b8001*b7845 + 8*b8002*b7846 + 7*b8003*b7847 + 8*b8004*b7848 + 6*
      b8005*b7849 + 7*b8006*b7850 + 7*b8007*b7851 + 5.5*b8008*b7852 + 8*b8009*
      b7853 + 5.5*b8010*b7854 + 6*b8011*b7855 + 6.5*b8012*b7856 + 5*b8013*b7857
       + 6*b8014*b7858 + 6.5*b8015*b7859 + 6*b8016*b7860 + 6*b8017*b7861 + 5*
      b8018*b7862 + 6*b8019*b7863 + 7*b8020*b7864 + 6*b8021*b7865 + 7.5*b8022*
      b7866 + 6.5*b8023*b7867 + 6.5*b8024*b7868 + 6*b8025*b7869 + 6.5*b8026*
      b7870 + 5*b8027*b7871 + 5.5*b8028*b7872 + 5*b8029*b7873 + 5.5*b8030*b7874
       + 5.5*b8031*b7875 + 7.5*b8032*b7876 + 5*b8033*b7877 + 7*b8034*b7878 + 
      7.5*b8035*b7879 + 5*b8036*b7880 + 6.5*b8037*b7881 + 5*b8038*b7882 + 7.5*
      b8039*b7883 + 6*b8040*b7884 + 5.5*b8041*b7885 + 7.5*b8042*b7886 + 7*b8043
      *b7887 + 7*b8044*b7888 + 7.5*b8045*b7889 + 6*b8046*b7890 + 6.5*b8047*
      b7891 + 6.5*b8048*b7892 + 8*b8049*b7893 + 8*b8050*b7894 + 6*b8051*b7895
       + 7*b8052*b7896 + 8*b8053*b7897 + 7.5*b8054*b7898 + 5.5*b8055*b7899 + 
      7.5*b8056*b7900 + 8*b8057*b7901 + 7.5*b8058*b7902 + 7*b8059*b7903 + 6*
      b8060*b7904 + 6*b8061*b7905 + 6*b8062*b7906 + 7.5*b8063*b7907 + 6.5*b8064
      *b7908 + 5*b8065*b7909 + 6*b8066*b7910 + 6.5*b8067*b7911 + 6*b8068*b7912
       + 7*b8069*b7913 + 5*b8070*b7914 + 6*b8071*b7915 + 5.5*b8072*b7916 + 6.5*
      b8073*b7917 + 7.5*b8074*b7918 + 6.5*b8075*b7919 + 7*b8076*b7920 + 8*b8077
      *b7921 + 7.5*b8078*b7922 + 8*b8079*b7923 + 6.5*b8080*b7924 + 7*b8081*
      b7925 + 6.5*b8082*b7926 + 7*b8083*b7927 + 7*b8084*b7928 + 5*b8085*b7929
       + 5*b8086*b7930 + 7*b8087*b7931 + 7*b8088*b7932 + 5.5*b8089*b7933 + 6*
      b8090*b7934 + 7*b8091*b7935 + 6.5*b8092*b7936 + 8*b8093*b7937 + 6*b8094*
      b7938 + 6.5*b8095*b7939 + 7.5*b8096*b7940 + 6.5*b8097*b7941 + 6.5*b8098*
      b7942 + 8*b8099*b7943 + 6*b8100*b7944 + 8*b8101*b7945 + 6*b8102*b7946 + 7
      *b8103*b7947 + 7.5*b8104*b7948 + 6*b8105*b7949 + 7*b8106*b7950 + 8*b8107*
      b7951 + 7*b8108*b7952 + 6.5*b8109*b7953 + 7*b8110*b7954 + 7*b8111*b7955
       + 5*b8112*b7956 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e52.. 5*b2185*b7957 + 6.5*b2186*b7958 + 7.5*b2187*b7959 + 8*b2188*b7960 + 5.5*
      b2189*b7961 + 7*b2190*b7962 + 7*b2191*b7963 + 5.5*b2192*b7964 + 6*b2193*
      b7965 + 7*b2194*b7966 + 5*b2195*b7967 + 7*b2196*b7968 + 8*b2197*b7969 + 7
      *b2198*b7970 + 6*b2199*b7971 + 6.5*b2200*b7972 + 7.5*b2201*b7973 + 6*
      b2202*b7974 + 5.5*b2203*b7975 + 7.5*b2204*b7976 + 6*b2205*b7977 + 5.5*
      b2206*b7978 + 5*b2207*b7979 + 7*b2208*b7980 + 5.5*b2209*b7981 + 7*b2210*
      b7982 + 6.5*b2211*b7983 + 7*b2212*b7984 + 6*b2213*b7985 + 6.5*b2214*b7986
       + 5.5*b2215*b7987 + 8*b2216*b7988 + 8*b2217*b7989 + 6.5*b2218*b7990 + 
      7.5*b2219*b7991 + 6.5*b2220*b7992 + 7.5*b2221*b7993 + 5.5*b2222*b7994 + 
      5.5*b2223*b7995 + 5*b2224*b7996 + 5.5*b2225*b7997 + 7*b2226*b7998 + 8*
      b2227*b7999 + 5.5*b2228*b8000 + 7*b2229*b8001 + 8*b2230*b8002 + 7*b2231*
      b8003 + 8*b2232*b8004 + 6*b2233*b8005 + 7*b2234*b8006 + 7*b2235*b8007 + 
      5.5*b2236*b8008 + 8*b2237*b8009 + 5.5*b2238*b8010 + 6*b2239*b8011 + 6.5*
      b2240*b8012 + 5*b2241*b8013 + 6*b2242*b8014 + 6.5*b2243*b8015 + 6*b2244*
      b8016 + 6*b2245*b8017 + 5*b2246*b8018 + 6*b2247*b8019 + 7*b2248*b8020 + 6
      *b2249*b8021 + 7.5*b2250*b8022 + 6.5*b2251*b8023 + 6.5*b2252*b8024 + 6*
      b2253*b8025 + 6.5*b2254*b8026 + 5*b2255*b8027 + 5.5*b2256*b8028 + 5*b2257
      *b8029 + 5.5*b2258*b8030 + 5.5*b2259*b8031 + 7.5*b2260*b8032 + 5*b2261*
      b8033 + 7*b2262*b8034 + 7.5*b2263*b8035 + 5*b2264*b8036 + 6.5*b2265*b8037
       + 5*b2266*b8038 + 7.5*b2267*b8039 + 6*b2268*b8040 + 5.5*b2269*b8041 + 
      7.5*b2270*b8042 + 7*b2271*b8043 + 7*b2272*b8044 + 7.5*b2273*b8045 + 6*
      b2274*b8046 + 6.5*b2275*b8047 + 6.5*b2276*b8048 + 8*b2277*b8049 + 8*b2278
      *b8050 + 6*b2279*b8051 + 7*b2280*b8052 + 8*b2281*b8053 + 7.5*b2282*b8054
       + 5.5*b2283*b8055 + 7.5*b2284*b8056 + 8*b2285*b8057 + 7.5*b2286*b8058 + 
      7*b2287*b8059 + 6*b2288*b8060 + 6*b2289*b8061 + 6*b2290*b8062 + 7.5*b2291
      *b8063 + 6.5*b2292*b8064 + 5*b2293*b8065 + 6*b2294*b8066 + 6.5*b2295*
      b8067 + 6*b2296*b8068 + 7*b2297*b8069 + 5*b2298*b8070 + 6*b2299*b8071 + 
      5.5*b2300*b8072 + 6.5*b2301*b8073 + 7.5*b2302*b8074 + 6.5*b2303*b8075 + 7
      *b2304*b8076 + 8*b2305*b8077 + 7.5*b2306*b8078 + 8*b2307*b8079 + 6.5*
      b2308*b8080 + 7*b2309*b8081 + 6.5*b2310*b8082 + 7*b2311*b8083 + 7*b2312*
      b8084 + 5*b2313*b8085 + 5*b2314*b8086 + 7*b2315*b8087 + 7*b2316*b8088 + 
      5.5*b2317*b8089 + 6*b2318*b8090 + 7*b2319*b8091 + 6.5*b2320*b8092 + 8*
      b2321*b8093 + 6*b2322*b8094 + 6.5*b2323*b8095 + 7.5*b2324*b8096 + 6.5*
      b2325*b8097 + 6.5*b2326*b8098 + 8*b2327*b8099 + 6*b2328*b8100 + 8*b2329*
      b8101 + 6*b2330*b8102 + 7*b2331*b8103 + 7.5*b2332*b8104 + 6*b2333*b8105
       + 7*b2334*b8106 + 8*b2335*b8107 + 7*b2336*b8108 + 6.5*b2337*b8109 + 7*
      b2338*b8110 + 7*b2339*b8111 + 5*b2340*b8112 + 5*b7957*b2185 + 6.5*b7958*
      b2186 + 7.5*b7959*b2187 + 8*b7960*b2188 + 5.5*b7961*b2189 + 7*b7962*b2190
       + 7*b7963*b2191 + 5.5*b7964*b2192 + 6*b7965*b2193 + 7*b7966*b2194 + 5*
      b7967*b2195 + 7*b7968*b2196 + 8*b7969*b2197 + 7*b7970*b2198 + 6*b7971*
      b2199 + 6.5*b7972*b2200 + 7.5*b7973*b2201 + 6*b7974*b2202 + 5.5*b7975*
      b2203 + 7.5*b7976*b2204 + 6*b7977*b2205 + 5.5*b7978*b2206 + 5*b7979*b2207
       + 7*b7980*b2208 + 5.5*b7981*b2209 + 7*b7982*b2210 + 6.5*b7983*b2211 + 7*
      b7984*b2212 + 6*b7985*b2213 + 6.5*b7986*b2214 + 5.5*b7987*b2215 + 8*b7988
      *b2216 + 8*b7989*b2217 + 6.5*b7990*b2218 + 7.5*b7991*b2219 + 6.5*b7992*
      b2220 + 7.5*b7993*b2221 + 5.5*b7994*b2222 + 5.5*b7995*b2223 + 5*b7996*
      b2224 + 5.5*b7997*b2225 + 7*b7998*b2226 + 8*b7999*b2227 + 5.5*b8000*b2228
       + 7*b8001*b2229 + 8*b8002*b2230 + 7*b8003*b2231 + 8*b8004*b2232 + 6*
      b8005*b2233 + 7*b8006*b2234 + 7*b8007*b2235 + 5.5*b8008*b2236 + 8*b8009*
      b2237 + 5.5*b8010*b2238 + 6*b8011*b2239 + 6.5*b8012*b2240 + 5*b8013*b2241
       + 6*b8014*b2242 + 6.5*b8015*b2243 + 6*b8016*b2244 + 6*b8017*b2245 + 5*
      b8018*b2246 + 6*b8019*b2247 + 7*b8020*b2248 + 6*b8021*b2249 + 7.5*b8022*
      b2250 + 6.5*b8023*b2251 + 6.5*b8024*b2252 + 6*b8025*b2253 + 6.5*b8026*
      b2254 + 5*b8027*b2255 + 5.5*b8028*b2256 + 5*b8029*b2257 + 5.5*b8030*b2258
       + 5.5*b8031*b2259 + 7.5*b8032*b2260 + 5*b8033*b2261 + 7*b8034*b2262 + 
      7.5*b8035*b2263 + 5*b8036*b2264 + 6.5*b8037*b2265 + 5*b8038*b2266 + 7.5*
      b8039*b2267 + 6*b8040*b2268 + 5.5*b8041*b2269 + 7.5*b8042*b2270 + 7*b8043
      *b2271 + 7*b8044*b2272 + 7.5*b8045*b2273 + 6*b8046*b2274 + 6.5*b8047*
      b2275 + 6.5*b8048*b2276 + 8*b8049*b2277 + 8*b8050*b2278 + 6*b8051*b2279
       + 7*b8052*b2280 + 8*b8053*b2281 + 7.5*b8054*b2282 + 5.5*b8055*b2283 + 
      7.5*b8056*b2284 + 8*b8057*b2285 + 7.5*b8058*b2286 + 7*b8059*b2287 + 6*
      b8060*b2288 + 6*b8061*b2289 + 6*b8062*b2290 + 7.5*b8063*b2291 + 6.5*b8064
      *b2292 + 5*b8065*b2293 + 6*b8066*b2294 + 6.5*b8067*b2295 + 6*b8068*b2296
       + 7*b8069*b2297 + 5*b8070*b2298 + 6*b8071*b2299 + 5.5*b8072*b2300 + 6.5*
      b8073*b2301 + 7.5*b8074*b2302 + 6.5*b8075*b2303 + 7*b8076*b2304 + 8*b8077
      *b2305 + 7.5*b8078*b2306 + 8*b8079*b2307 + 6.5*b8080*b2308 + 7*b8081*
      b2309 + 6.5*b8082*b2310 + 7*b8083*b2311 + 7*b8084*b2312 + 5*b8085*b2313
       + 5*b8086*b2314 + 7*b8087*b2315 + 7*b8088*b2316 + 5.5*b8089*b2317 + 6*
      b8090*b2318 + 7*b8091*b2319 + 6.5*b8092*b2320 + 8*b8093*b2321 + 6*b8094*
      b2322 + 6.5*b8095*b2323 + 7.5*b8096*b2324 + 6.5*b8097*b2325 + 6.5*b8098*
      b2326 + 8*b8099*b2327 + 6*b8100*b2328 + 8*b8101*b2329 + 6*b8102*b2330 + 7
      *b8103*b2331 + 7.5*b8104*b2332 + 6*b8105*b2333 + 7*b8106*b2334 + 8*b8107*
      b2335 + 7*b8108*b2336 + 6.5*b8109*b2337 + 7*b8110*b2338 + 7*b8111*b2339
       + 5*b8112*b2340 + 10*b1 + 13*b2 + 15*b3 + 16*b4 + 11*b5 + 14*b6 + 14*b7
       + 11*b8 + 12*b9 + 14*b10 + 10*b11 + 14*b12 + 16*b13 + 14*b14 + 12*b15
       + 13*b16 + 15*b17 + 12*b18 + 11*b19 + 15*b20 + 12*b21 + 11*b22 + 10*b23
       + 14*b24 + 11*b25 + 14*b26 + 13*b27 + 14*b28 + 12*b29 + 13*b30 + 11*b31
       + 16*b32 + 16*b33 + 13*b34 + 15*b35 + 13*b36 + 15*b37 + 11*b38 + 11*b39
       + 10*b40 + 11*b41 + 14*b42 + 16*b43 + 11*b44 + 14*b45 + 16*b46 + 14*b47
       + 16*b48 + 12*b49 + 14*b50 + 14*b51 + 11*b52 + 16*b53 + 11*b54 + 12*b55
       + 13*b56 + 10*b57 + 12*b58 + 13*b59 + 12*b60 + 12*b61 + 10*b62 + 12*b63
       + 14*b64 + 12*b65 + 15*b66 + 13*b67 + 13*b68 + 12*b69 + 13*b70 + 10*b71
       + 11*b72 + 10*b73 + 11*b74 + 11*b75 + 15*b76 + 10*b77 + 14*b78 + 15*b79
       + 10*b80 + 13*b81 + 10*b82 + 15*b83 + 12*b84 + 11*b85 + 15*b86 + 14*b87
       + 14*b88 + 15*b89 + 12*b90 + 13*b91 + 13*b92 + 16*b93 + 16*b94 + 12*b95
       + 14*b96 + 16*b97 + 15*b98 + 11*b99 + 15*b100 + 16*b101 + 15*b102
       + 14*b103 + 12*b104 + 12*b105 + 12*b106 + 15*b107 + 13*b108 + 10*b109
       + 12*b110 + 13*b111 + 12*b112 + 14*b113 + 10*b114 + 12*b115 + 11*b116
       + 13*b117 + 15*b118 + 13*b119 + 14*b120 + 16*b121 + 15*b122 + 16*b123
       + 13*b124 + 14*b125 + 13*b126 + 14*b127 + 14*b128 + 10*b129 + 10*b130
       + 14*b131 + 14*b132 + 11*b133 + 12*b134 + 14*b135 + 13*b136 + 16*b137
       + 12*b138 + 13*b139 + 15*b140 + 13*b141 + 13*b142 + 16*b143 + 12*b144
       + 16*b145 + 12*b146 + 14*b147 + 15*b148 + 12*b149 + 14*b150 + 16*b151
       + 14*b152 + 13*b153 + 14*b154 + 14*b155 + 10*b156 - x23869 =L= 0;

e53.. 5*b1*b8113 + 6.5*b2*b8114 + 7.5*b3*b8115 + 8*b4*b8116 + 5.5*b5*b8117 + 7*
      b6*b8118 + 7*b7*b8119 + 5.5*b8*b8120 + 6*b9*b8121 + 7*b10*b8122 + 5*b11*
      b8123 + 7*b12*b8124 + 8*b13*b8125 + 7*b14*b8126 + 6*b15*b8127 + 6.5*b16*
      b8128 + 7.5*b17*b8129 + 6*b18*b8130 + 5.5*b19*b8131 + 7.5*b20*b8132 + 6*
      b21*b8133 + 5.5*b22*b8134 + 5*b23*b8135 + 7*b24*b8136 + 5.5*b25*b8137 + 7
      *b26*b8138 + 6.5*b27*b8139 + 7*b28*b8140 + 6*b29*b8141 + 6.5*b30*b8142 + 
      5.5*b31*b8143 + 8*b32*b8144 + 8*b33*b8145 + 6.5*b34*b8146 + 7.5*b35*b8147
       + 6.5*b36*b8148 + 7.5*b37*b8149 + 5.5*b38*b8150 + 5.5*b39*b8151 + 5*b40*
      b8152 + 5.5*b41*b8153 + 7*b42*b8154 + 8*b43*b8155 + 5.5*b44*b8156 + 7*b45
      *b8157 + 8*b46*b8158 + 7*b47*b8159 + 8*b48*b8160 + 6*b49*b8161 + 7*b50*
      b8162 + 7*b51*b8163 + 5.5*b52*b8164 + 8*b53*b8165 + 5.5*b54*b8166 + 6*b55
      *b8167 + 6.5*b56*b8168 + 5*b57*b8169 + 6*b58*b8170 + 6.5*b59*b8171 + 6*
      b60*b8172 + 6*b61*b8173 + 5*b62*b8174 + 6*b63*b8175 + 7*b64*b8176 + 6*b65
      *b8177 + 7.5*b66*b8178 + 6.5*b67*b8179 + 6.5*b68*b8180 + 6*b69*b8181 + 
      6.5*b70*b8182 + 5*b71*b8183 + 5.5*b72*b8184 + 5*b73*b8185 + 5.5*b74*b8186
       + 5.5*b75*b8187 + 7.5*b76*b8188 + 5*b77*b8189 + 7*b78*b8190 + 7.5*b79*
      b8191 + 5*b80*b8192 + 6.5*b81*b8193 + 5*b82*b8194 + 7.5*b83*b8195 + 6*b84
      *b8196 + 5.5*b85*b8197 + 7.5*b86*b8198 + 7*b87*b8199 + 7*b88*b8200 + 7.5*
      b89*b8201 + 6*b90*b8202 + 6.5*b91*b8203 + 6.5*b92*b8204 + 8*b93*b8205 + 8
      *b94*b8206 + 6*b95*b8207 + 7*b96*b8208 + 8*b97*b8209 + 7.5*b98*b8210 + 
      5.5*b99*b8211 + 7.5*b100*b8212 + 8*b101*b8213 + 7.5*b102*b8214 + 7*b103*
      b8215 + 6*b104*b8216 + 6*b105*b8217 + 6*b106*b8218 + 7.5*b107*b8219 + 6.5
      *b108*b8220 + 5*b109*b8221 + 6*b110*b8222 + 6.5*b111*b8223 + 6*b112*b8224
       + 7*b113*b8225 + 5*b114*b8226 + 6*b115*b8227 + 5.5*b116*b8228 + 6.5*b117
      *b8229 + 7.5*b118*b8230 + 6.5*b119*b8231 + 7*b120*b8232 + 8*b121*b8233 + 
      7.5*b122*b8234 + 8*b123*b8235 + 6.5*b124*b8236 + 7*b125*b8237 + 6.5*b126*
      b8238 + 7*b127*b8239 + 7*b128*b8240 + 5*b129*b8241 + 5*b130*b8242 + 7*
      b131*b8243 + 7*b132*b8244 + 5.5*b133*b8245 + 6*b134*b8246 + 7*b135*b8247
       + 6.5*b136*b8248 + 8*b137*b8249 + 6*b138*b8250 + 6.5*b139*b8251 + 7.5*
      b140*b8252 + 6.5*b141*b8253 + 6.5*b142*b8254 + 8*b143*b8255 + 6*b144*
      b8256 + 8*b145*b8257 + 6*b146*b8258 + 7*b147*b8259 + 7.5*b148*b8260 + 6*
      b149*b8261 + 7*b150*b8262 + 8*b151*b8263 + 7*b152*b8264 + 6.5*b153*b8265
       + 7*b154*b8266 + 7*b155*b8267 + 5*b156*b8268 + 5*b8113*b1 + 6.5*b8114*b2
       + 7.5*b8115*b3 + 8*b8116*b4 + 5.5*b8117*b5 + 7*b8118*b6 + 7*b8119*b7 + 
      5.5*b8120*b8 + 6*b8121*b9 + 7*b8122*b10 + 5*b8123*b11 + 7*b8124*b12 + 8*
      b8125*b13 + 7*b8126*b14 + 6*b8127*b15 + 6.5*b8128*b16 + 7.5*b8129*b17 + 6
      *b8130*b18 + 5.5*b8131*b19 + 7.5*b8132*b20 + 6*b8133*b21 + 5.5*b8134*b22
       + 5*b8135*b23 + 7*b8136*b24 + 5.5*b8137*b25 + 7*b8138*b26 + 6.5*b8139*
      b27 + 7*b8140*b28 + 6*b8141*b29 + 6.5*b8142*b30 + 5.5*b8143*b31 + 8*b8144
      *b32 + 8*b8145*b33 + 6.5*b8146*b34 + 7.5*b8147*b35 + 6.5*b8148*b36 + 7.5*
      b8149*b37 + 5.5*b8150*b38 + 5.5*b8151*b39 + 5*b8152*b40 + 5.5*b8153*b41
       + 7*b8154*b42 + 8*b8155*b43 + 5.5*b8156*b44 + 7*b8157*b45 + 8*b8158*b46
       + 7*b8159*b47 + 8*b8160*b48 + 6*b8161*b49 + 7*b8162*b50 + 7*b8163*b51 + 
      5.5*b8164*b52 + 8*b8165*b53 + 5.5*b8166*b54 + 6*b8167*b55 + 6.5*b8168*b56
       + 5*b8169*b57 + 6*b8170*b58 + 6.5*b8171*b59 + 6*b8172*b60 + 6*b8173*b61
       + 5*b8174*b62 + 6*b8175*b63 + 7*b8176*b64 + 6*b8177*b65 + 7.5*b8178*b66
       + 6.5*b8179*b67 + 6.5*b8180*b68 + 6*b8181*b69 + 6.5*b8182*b70 + 5*b8183*
      b71 + 5.5*b8184*b72 + 5*b8185*b73 + 5.5*b8186*b74 + 5.5*b8187*b75 + 7.5*
      b8188*b76 + 5*b8189*b77 + 7*b8190*b78 + 7.5*b8191*b79 + 5*b8192*b80 + 6.5
      *b8193*b81 + 5*b8194*b82 + 7.5*b8195*b83 + 6*b8196*b84 + 5.5*b8197*b85 + 
      7.5*b8198*b86 + 7*b8199*b87 + 7*b8200*b88 + 7.5*b8201*b89 + 6*b8202*b90
       + 6.5*b8203*b91 + 6.5*b8204*b92 + 8*b8205*b93 + 8*b8206*b94 + 6*b8207*
      b95 + 7*b8208*b96 + 8*b8209*b97 + 7.5*b8210*b98 + 5.5*b8211*b99 + 7.5*
      b8212*b100 + 8*b8213*b101 + 7.5*b8214*b102 + 7*b8215*b103 + 6*b8216*b104
       + 6*b8217*b105 + 6*b8218*b106 + 7.5*b8219*b107 + 6.5*b8220*b108 + 5*
      b8221*b109 + 6*b8222*b110 + 6.5*b8223*b111 + 6*b8224*b112 + 7*b8225*b113
       + 5*b8226*b114 + 6*b8227*b115 + 5.5*b8228*b116 + 6.5*b8229*b117 + 7.5*
      b8230*b118 + 6.5*b8231*b119 + 7*b8232*b120 + 8*b8233*b121 + 7.5*b8234*
      b122 + 8*b8235*b123 + 6.5*b8236*b124 + 7*b8237*b125 + 6.5*b8238*b126 + 7*
      b8239*b127 + 7*b8240*b128 + 5*b8241*b129 + 5*b8242*b130 + 7*b8243*b131 + 
      7*b8244*b132 + 5.5*b8245*b133 + 6*b8246*b134 + 7*b8247*b135 + 6.5*b8248*
      b136 + 8*b8249*b137 + 6*b8250*b138 + 6.5*b8251*b139 + 7.5*b8252*b140 + 
      6.5*b8253*b141 + 6.5*b8254*b142 + 8*b8255*b143 + 6*b8256*b144 + 8*b8257*
      b145 + 6*b8258*b146 + 7*b8259*b147 + 7.5*b8260*b148 + 6*b8261*b149 + 7*
      b8262*b150 + 8*b8263*b151 + 7*b8264*b152 + 6.5*b8265*b153 + 7*b8266*b154
       + 7*b8267*b155 + 5*b8268*b156 + 10*b157 + 13*b158 + 15*b159 + 16*b160
       + 11*b161 + 14*b162 + 14*b163 + 11*b164 + 12*b165 + 14*b166 + 10*b167
       + 14*b168 + 16*b169 + 14*b170 + 12*b171 + 13*b172 + 15*b173 + 12*b174
       + 11*b175 + 15*b176 + 12*b177 + 11*b178 + 10*b179 + 14*b180 + 11*b181
       + 14*b182 + 13*b183 + 14*b184 + 12*b185 + 13*b186 + 11*b187 + 16*b188
       + 16*b189 + 13*b190 + 15*b191 + 13*b192 + 15*b193 + 11*b194 + 11*b195
       + 10*b196 + 11*b197 + 14*b198 + 16*b199 + 11*b200 + 14*b201 + 16*b202
       + 14*