MINLPLib

A Library of Mixed-Integer and Continuous Nonlinear Programming Instances

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Removed Instance arki0001

Formats ams gms lp mod nl osil pip py
Primal Bounds (infeas ≤ 1e-08)
40.71286469 p1 ( gdx sol )
(infeas: 3e-14)
Other points (infeas > 1e-08)  
Dual Bounds
40.71286469 (ANTIGONE)
40.71286465 (BARON)
40.71286469 (COUENNE)
40.71286469 (CPLEX)
40.71286469 (LINDO)
40.71285512 (SCIP)
Source ARKI Consulting Client Models
Added to library 31 Jul 2001
Removed from library 16 Feb 2022
Removed because Instance is continuous and convex
Problem type QP
#Variables 1030
#Binary Variables 0
#Integer Variables 0
#Nonlinear Variables 512
#Nonlinear Binary Variables 0
#Nonlinear Integer Variables 0
Objective Sense min
Objective type quadratic
Objective curvature convex
#Nonzeros in Objective 512
#Nonlinear Nonzeros in Objective 512
#Constraints 513
#Linear Constraints 513
#Quadratic Constraints 0
#Polynomial Constraints 0
#Signomial Constraints 0
#General Nonlinear Constraints 0
Operands in Gen. Nonlin. Functions  
Constraints curvature linear
#Nonzeros in Jacobian 3301
#Nonlinear Nonzeros in Jacobian 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian 512
#Nonzeros in Diagonal of Hessian of Lagrangian 512
#Blocks in Hessian of Lagrangian 512
Minimal blocksize in Hessian of Lagrangian 1
Maximal blocksize in Hessian of Lagrangian 1
Average blocksize in Hessian of Lagrangian 1.0
#Semicontinuities 0
#Nonlinear Semicontinuities 0
#SOS type 1 0
#SOS type 2 0
Minimal coefficient 7.6300e-03
Maximal coefficient 1.3761e+02
Infeasibility of initial point 558.7
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
*        514      514        0        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*       1031     1031        0        0        0        0        0        0
*  FX      0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       3814     3302      512        0
*
*  Solve m using NLP minimizing objvar;


Variables  x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
          ,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
          ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
          ,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
          ,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
          ,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
          ,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
          ,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
          ,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
          ,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
          ,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
          ,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
          ,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
          ,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389
          ,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
          ,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415
          ,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
          ,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
          ,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454
          ,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466,x467
          ,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479,x480
          ,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492,x493
          ,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505,x506
          ,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518,x519
          ,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531,x532
          ,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544,x545
          ,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557,x558
          ,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570,x571
          ,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583,x584
          ,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596,x597
          ,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609,x610
          ,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622,x623
          ,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635,x636
          ,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648,x649
          ,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661,x662
          ,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673,x674,x675
          ,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686,x687,x688
          ,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699,x700,x701
          ,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712,x713,x714
          ,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725,x726,x727
          ,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738,x739,x740
          ,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751,x752,x753
          ,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763,x764,x765,x766
          ,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777,x778,x779
          ,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790,x791,x792
          ,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803,x804,x805
          ,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816,x817,x818
          ,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829,x830,x831
          ,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842,x843,x844
          ,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854,x855,x856,x857
          ,x858,x859,x860,x861,x862,x863,x864,x865,x866,x867,x868,x869,x870
          ,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880,x881,x882,x883
          ,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893,x894,x895,x896
          ,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906,x907,x908,x909
          ,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920,x921,x922
          ,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933,x934,x935
          ,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946,x947,x948
          ,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958,x959,x960,x961
          ,x962,x963,x964,x965,x966,x967,x968,x969,x970,x971,x972,x973,x974
          ,x975,x976,x977,x978,x979,x980,x981,x982,x983,x984,x985,x986,x987
          ,x988,x989,x990,x991,x992,x993,x994,x995,x996,x997,x998,x999,x1000
          ,x1001,x1002,x1003,x1004,x1005,x1006,x1007,x1008,x1009,x1010,x1011
          ,x1012,x1013,x1014,x1015,x1016,x1017,x1018,x1019,x1020,x1021,x1022
          ,x1023,x1024,x1025,x1026,x1027,x1028,x1029,x1030,objvar;

Positive Variables  x1,x2,x3,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16,x17,x18,x19
          ,x20,x21,x22,x23,x24,x25,x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36
          ,x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49,x50,x51,x52,x53
          ,x54,x55,x56,x57,x58,x59,x60,x61,x62,x63,x64,x65,x66,x67,x68,x69,x70
          ,x71,x72,x73,x74,x75,x76,x77,x78,x79,x80,x81,x82,x83,x84,x85,x86,x87
          ,x88,x89,x90,x91,x92,x93,x94,x95,x96,x97,x98,x99,x100,x101,x102,x103
          ,x104,x105,x106,x107,x108,x109,x110,x111,x112,x113,x114,x115,x116
          ,x117,x118,x119,x120,x121,x122,x123,x124,x125,x126,x127,x128,x129
          ,x130,x131,x132,x133,x134,x135,x136,x137,x138,x139,x140,x141,x142
          ,x143,x144,x145,x146,x147,x148,x149,x150,x151,x152,x153,x154,x155
          ,x156,x157,x158,x159,x160,x161,x162,x163,x164,x165,x166,x167,x168
          ,x169,x170,x171,x172,x173,x174,x175,x176,x177,x178,x179,x180,x181
          ,x182,x183,x184,x185,x186,x187,x188,x189,x190,x191,x192,x193,x194
          ,x195,x196,x197,x198,x199,x200,x201,x202,x203,x204,x205,x206,x207
          ,x208,x209,x210,x211,x212,x213,x214,x215,x216,x217,x218,x219,x220
          ,x221,x222,x223,x224,x225,x226,x227,x228,x229,x230,x231,x232,x233
          ,x234,x235,x236,x237,x238,x239,x240,x241,x242,x243,x244,x245,x246
          ,x247,x248,x249,x250,x251,x252,x253,x254,x255,x256,x257,x258,x259
          ,x260,x261,x262,x263,x264,x265,x266,x267,x268,x269,x270,x271,x272
          ,x273,x274,x275,x276,x277,x278,x279,x280,x281,x282,x283,x284,x285
          ,x286,x287,x288,x289,x290,x291,x292,x293,x294,x295,x296,x297,x298
          ,x299,x300,x301,x302,x303,x304,x305,x306,x307,x308,x309,x310,x311
          ,x312,x313,x314,x315,x316,x317,x318,x319,x320,x321,x322,x323,x324
          ,x325,x326,x327,x328,x329,x330,x331,x332,x333,x334,x335,x336,x337
          ,x338,x339,x340,x341,x342,x343,x344,x345,x346,x347,x348,x349,x350
          ,x351,x352,x353,x354,x355,x356,x357,x358,x359,x360,x361,x362,x363
          ,x364,x365,x366,x367,x368,x369,x370,x371,x372,x373,x374,x375,x376
          ,x377,x378,x379,x380,x381,x382,x383,x384,x385,x386,x387,x388,x389
          ,x390,x391,x392,x393,x394,x395,x396,x397,x398,x399,x400,x401,x402
          ,x403,x404,x405,x406,x407,x408,x409,x410,x411,x412,x413,x414,x415
          ,x416,x417,x418,x419,x420,x421,x422,x423,x424,x425,x426,x427,x428
          ,x429,x430,x431,x432,x433,x434,x435,x436,x437,x438,x439,x440,x441
          ,x442,x443,x444,x445,x446,x447,x448,x449,x450,x451,x452,x453,x454
          ,x455,x456,x457,x458,x459,x460,x461,x462,x463,x464,x465,x466,x467
          ,x468,x469,x470,x471,x472,x473,x474,x475,x476,x477,x478,x479,x480
          ,x481,x482,x483,x484,x485,x486,x487,x488,x489,x490,x491,x492,x493
          ,x494,x495,x496,x497,x498,x499,x500,x501,x502,x503,x504,x505,x506
          ,x507,x508,x509,x510,x511,x512,x513,x514,x515,x516,x517,x518,x519
          ,x520,x521,x522,x523,x524,x525,x526,x527,x528,x529,x530,x531,x532
          ,x533,x534,x535,x536,x537,x538,x539,x540,x541,x542,x543,x544,x545
          ,x546,x547,x548,x549,x550,x551,x552,x553,x554,x555,x556,x557,x558
          ,x559,x560,x561,x562,x563,x564,x565,x566,x567,x568,x569,x570,x571
          ,x572,x573,x574,x575,x576,x577,x578,x579,x580,x581,x582,x583,x584
          ,x585,x586,x587,x588,x589,x590,x591,x592,x593,x594,x595,x596,x597
          ,x598,x599,x600,x601,x602,x603,x604,x605,x606,x607,x608,x609,x610
          ,x611,x612,x613,x614,x615,x616,x617,x618,x619,x620,x621,x622,x623
          ,x624,x625,x626,x627,x628,x629,x630,x631,x632,x633,x634,x635,x636
          ,x637,x638,x639,x640,x641,x642,x643,x644,x645,x646,x647,x648,x649
          ,x650,x651,x652,x653,x654,x655,x656,x657,x658,x659,x660,x661,x662
          ,x663,x664,x665,x666,x667,x668,x669,x670,x671,x672,x673,x674,x675
          ,x676,x677,x678,x679,x680,x681,x682,x683,x684,x685,x686,x687,x688
          ,x689,x690,x691,x692,x693,x694,x695,x696,x697,x698,x699,x700,x701
          ,x702,x703,x704,x705,x706,x707,x708,x709,x710,x711,x712,x713,x714
          ,x715,x716,x717,x718,x719,x720,x721,x722,x723,x724,x725,x726,x727
          ,x728,x729,x730,x731,x732,x733,x734,x735,x736,x737,x738,x739,x740
          ,x741,x742,x743,x744,x745,x746,x747,x748,x749,x750,x751,x752,x753
          ,x754,x755,x756,x757,x758,x759,x760,x761,x762,x763,x764,x765,x766
          ,x767,x768,x769,x770,x771,x772,x773,x774,x775,x776,x777,x778,x779
          ,x780,x781,x782,x783,x784,x785,x786,x787,x788,x789,x790,x791,x792
          ,x793,x794,x795,x796,x797,x798,x799,x800,x801,x802,x803,x804,x805
          ,x806,x807,x808,x809,x810,x811,x812,x813,x814,x815,x816,x817,x818
          ,x819,x820,x821,x822,x823,x824,x825,x826,x827,x828,x829,x830,x831
          ,x832,x833,x834,x835,x836,x837,x838,x839,x840,x841,x842,x843,x844
          ,x845,x846,x847,x848,x849,x850,x851,x852,x853,x854,x855,x856,x857
          ,x858,x859,x860,x861,x862,x863,x864,x865,x866,x867,x868,x869,x870
          ,x871,x872,x873,x874,x875,x876,x877,x878,x879,x880,x881,x882,x883
          ,x884,x885,x886,x887,x888,x889,x890,x891,x892,x893,x894,x895,x896
          ,x897,x898,x899,x900,x901,x902,x903,x904,x905,x906,x907,x908,x909
          ,x910,x911,x912,x913,x914,x915,x916,x917,x918,x919,x920,x921,x922
          ,x923,x924,x925,x926,x927,x928,x929,x930,x931,x932,x933,x934,x935
          ,x936,x937,x938,x939,x940,x941,x942,x943,x944,x945,x946,x947,x948
          ,x949,x950,x951,x952,x953,x954,x955,x956,x957,x958,x959,x960,x961
          ,x962,x963,x964,x965,x966,x967,x968,x969,x970,x971,x972,x973,x974
          ,x975,x976,x977,x978,x979,x980,x981,x982,x983,x984,x985,x986,x987
          ,x988,x989,x990,x991,x992,x993,x994,x995,x996,x997,x998,x999,x1000
          ,x1001,x1002,x1003,x1004,x1005,x1006,x1007,x1008,x1009,x1010,x1011
          ,x1012,x1013,x1014,x1015,x1016,x1017,x1018,x1019,x1020,x1021,x1022
          ,x1023,x1024,x1025,x1026,x1027,x1028,x1029,x1030;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12,e13,e14,e15,e16,e17,e18,e19
          ,e20,e21,e22,e23,e24,e25,e26,e27,e28,e29,e30,e31,e32,e33,e34,e35,e36
          ,e37,e38,e39,e40,e41,e42,e43,e44,e45,e46,e47,e48,e49,e50,e51,e52,e53
          ,e54,e55,e56,e57,e58,e59,e60,e61,e62,e63,e64,e65,e66,e67,e68,e69,e70
          ,e71,e72,e73,e74,e75,e76,e77,e78,e79,e80,e81,e82,e83,e84,e85,e86,e87
          ,e88,e89,e90,e91,e92,e93,e94,e95,e96,e97,e98,e99,e100,e101,e102,e103
          ,e104,e105,e106,e107,e108,e109,e110,e111,e112,e113,e114,e115,e116
          ,e117,e118,e119,e120,e121,e122,e123,e124,e125,e126,e127,e128,e129
          ,e130,e131,e132,e133,e134,e135,e136,e137,e138,e139,e140,e141,e142
          ,e143,e144,e145,e146,e147,e148,e149,e150,e151,e152,e153,e154,e155
          ,e156,e157,e158,e159,e160,e161,e162,e163,e164,e165,e166,e167,e168
          ,e169,e170,e171,e172,e173,e174,e175,e176,e177,e178,e179,e180,e181
          ,e182,e183,e184,e185,e186,e187,e188,e189,e190,e191,e192,e193,e194
          ,e195,e196,e197,e198,e199,e200,e201,e202,e203,e204,e205,e206,e207
          ,e208,e209,e210,e211,e212,e213,e214,e215,e216,e217,e218,e219,e220
          ,e221,e222,e223,e224,e225,e226,e227,e228,e229,e230,e231,e232,e233
          ,e234,e235,e236,e237,e238,e239,e240,e241,e242,e243,e244,e245,e246
          ,e247,e248,e249,e250,e251,e252,e253,e254,e255,e256,e257,e258,e259
          ,e260,e261,e262,e263,e264,e265,e266,e267,e268,e269,e270,e271,e272
          ,e273,e274,e275,e276,e277,e278,e279,e280,e281,e282,e283,e284,e285
          ,e286,e287,e288,e289,e290,e291,e292,e293,e294,e295,e296,e297,e298
          ,e299,e300,e301,e302,e303,e304,e305,e306,e307,e308,e309,e310,e311
          ,e312,e313,e314,e315,e316,e317,e318,e319,e320,e321,e322,e323,e324
          ,e325,e326,e327,e328,e329,e330,e331,e332,e333,e334,e335,e336,e337
          ,e338,e339,e340,e341,e342,e343,e344,e345,e346,e347,e348,e349,e350
          ,e351,e352,e353,e354,e355,e356,e357,e358,e359,e360,e361,e362,e363
          ,e364,e365,e366,e367,e368,e369,e370,e371,e372,e373,e374,e375,e376
          ,e377,e378,e379,e380,e381,e382,e383,e384,e385,e386,e387,e388,e389
          ,e390,e391,e392,e393,e394,e395,e396,e397,e398,e399,e400,e401,e402
          ,e403,e404,e405,e406,e407,e408,e409,e410,e411,e412,e413,e414,e415
          ,e416,e417,e418,e419,e420,e421,e422,e423,e424,e425,e426,e427,e428
          ,e429,e430,e431,e432,e433,e434,e435,e436,e437,e438,e439,e440,e441
          ,e442,e443,e444,e445,e446,e447,e448,e449,e450,e451,e452,e453,e454
          ,e455,e456,e457,e458,e459,e460,e461,e462,e463,e464,e465,e466,e467
          ,e468,e469,e470,e471,e472,e473,e474,e475,e476,e477,e478,e479,e480
          ,e481,e482,e483,e484,e485,e486,e487,e488,e489,e490,e491,e492,e493
          ,e494,e495,e496,e497,e498,e499,e500,e501,e502,e503,e504,e505,e506
          ,e507,e508,e509,e510,e511,e512,e513,e514;


e1..    102.1996*x1 + 100.1378*x2 + 99.88699*x3 + 3.337351*x4 + x7 - x519
      =E= 100.9415;

e2..    102.1911*x1 + 100.1294*x2 + 99.87864*x3 + 3.337072*x4 + x8 - x520
      =E= 100.933;

e3..    104.6649*x1 + 100.5031*x2 + 103.1816*x3 + 4.595396*x4 + 3.076241*x5
      + x9 - x521 =E= 101.082;

e4..    102.1826*x1 + 100.1211*x2 + 99.87033*x3 + 3.336794*x4 + x10 - x522
      =E= 100.9246;

e5..    104.6565*x1 + 100.4951*x2 + 103.1733*x3 + 4.595029*x4 + 3.075996*x5
      + x11 - x523 =E= 101.0739;

e6..    104.6478*x1 + 100.4867*x2 + 103.1647*x3 + 4.594645*x4 + 3.075739*x5
      + x12 - x524 =E= 101.0654;

e7..    107.0984*x1 + 100.8473*x2 + 106.5039*x3 + 5.824841*x4 + 6.326056*x5
      + x13 - x525 =E= 101.1552;

e8..    99.70499*x1 + 99.75014*x2 + 96.62407*x3 + 2.051297*x4 + x14 - x526
      =E= 99.70499;

e9..    95.23135*x1 + 99.52451*x2 + 95.829*x3 + 1.721956*x6 + x15 - x527
      =E= 95.23135;

e10..    95.22339*x1 + 99.51619*x2 + 95.82099*x3 + 1.721812*x6 + x16 - x528
       =E= 95.22339;

e11..    97.78573*x1 + 99.91224*x2 + 99.23592*x3 + 0.602397*x6 + x17 - x529
       =E= 97.31563;

e12..    95.21546*x1 + 99.50791*x2 + 95.81302*x3 + 1.721669*x6 + x18 - x530
       =E= 95.21546;

e13..    97.77792*x1 + 99.90426*x2 + 99.228*x3 + 0.602349*x6 + x19 - x531
       =E= 97.30786;

e14..    97.76975*x1 + 99.89591*x2 + 99.21971*x3 + 0.602299*x6 + x20 - x532
       =E= 97.29973;

e15..    100.3144*x1 + 100.278*x2 + 102.6731*x3 + 2.433237*x5 + 0.08534*x6
       + x21 - x533 =E= 99.0103;

e16..    92.65418*x1 + 99.1138*x2 + 92.45686*x3 + 3.086967*x6 + x22 - x534
       =E= 92.65418;

e17..    104.824*x1 + 99.86184*x2 + 109.5853*x3 + 0.99941*x4 + 9.521136*x5
       + x23 - x535 =E= 100.5756;

e18..    104.8152*x1 + 99.85349*x2 + 109.5762*x3 + 0.999326*x4 + 9.52034*x5
       + x24 - x536 =E= 100.5672;

e19..    107.3035*x1 + 100.2372*x2 + 113.1411*x3 + 2.315207*x4 + 12.99508*x5
       + x25 - x537 =E= 101.1231;

e20..    104.8065*x1 + 99.84518*x2 + 109.567*x3 + 0.999243*x4 + 9.519548*x5
       + x26 - x538 =E= 100.5589;

e21..    107.295*x1 + 100.2292*x2 + 113.1321*x3 + 2.315022*x4 + 12.99405*x5
       + x27 - x539 =E= 101.115;

e22..    107.286*x1 + 100.2208*x2 + 113.1226*x3 + 2.314828*x4 + 12.99296*x5
       + x28 - x540 =E= 101.1065;

e23..    109.7465*x1 + 100.5911*x2 + 116.7075*x3 + 3.60248*x4 + 16.4906*x5
       + x29 - x541 =E= 101.1947;

e24..    102.31*x1 + 99.46381*x2 + 106.0448*x3 + 6.074228*x5 + 0.017325*x6
       + x30 - x542 =E= 99.80925;

e25..    92.71189*x1 + 99.82736*x2 + 87.35192*x3 + 0.122498*x6 + x31 - x543
       =E= 92.71189;

e26..    92.70414*x1 + 99.81902*x2 + 87.34462*x3 + 0.122488*x6 + x32 - x544
       =E= 92.70414;

e27..    95.23232*x1 + 100.2041*x2 + 90.43907*x3 + x33 - x545 =E= 95.23232;

e28..    92.69643*x1 + 99.81072*x2 + 87.33735*x3 + 0.122478*x6 + x34 - x546
       =E= 92.69643;

e29..    95.22471*x1 + 100.1961*x2 + 90.43185*x3 + x35 - x547 =E= 95.22471;

e30..    95.21675*x1 + 100.1877*x2 + 90.42429*x3 + x36 - x548 =E= 95.21675;

e31..    97.73247*x1 + 100.5592*x2 + 93.56987*x3 + 0.613177*x4 + x37 - x549
       =E= 97.73247;

e32..    90.17418*x1 + 99.42798*x2 + 84.31174*x3 + 0.888877*x6 + x38 - x550
       =E= 90.17418;

e33..    106.6032*x1 + 100.1122*x2 + 111.7457*x3 + 1.559709*x4 + 11.65695*x5
       + x39 - x551 =E= 101.0083;

e34..    106.5943*x1 + 100.1038*x2 + 111.7364*x3 + 1.559579*x4 + 11.65598*x5
       + x40 - x552 =E= 100.9999;

e35..    109.0674*x1 + 100.4785*x2 + 115.3125*x3 + 2.860739*x4 + 15.14288*x5
       + x41 - x553 =E= 101.1469;

e36..    106.5854*x1 + 100.0955*x2 + 111.7271*x3 + 1.559449*x4 + 11.65501*x5
       + x42 - x554 =E= 100.9915;

e37..    109.0587*x1 + 100.4704*x2 + 115.3033*x3 + 2.860511*x4 + 15.14167*x5
       + x43 - x555 =E= 101.1388;

e38..    109.0495*x1 + 100.462*x2 + 115.2937*x3 + 2.860271*x4 + 15.1404*x5
       + x44 - x556 =E= 101.1304;

e39..    111.493*x1 + 100.8235*x2 + 118.8868*x3 + 4.133303*x4 + 18.64721*x5
       + x45 - x557 =E= 101.2175;

e40..    104.1026*x1 + 99.72364*x2 + 108.1911*x3 + 0.230925*x4 + 8.194888*x5
       + x46 - x558 =E= 100.3784;

e41..    90.67858*x1 + 99.5641*x2 + 85.2817*x3 + 0.172278*x6 + x47 - x559
       =E= 90.67858;

e42..    90.671*x1 + 99.55577*x2 + 85.27457*x3 + 0.172263*x6 + x48 - x560
       =E= 90.671;

e43..    93.19823*x1 + 99.95043*x2 + 88.32951*x3 + x49 - x561 =E= 93.19823;

e44..    90.66345*x1 + 99.54749*x2 + 85.26747*x3 + 0.172249*x6 + x50 - x562
       =E= 90.66345;

e45..    93.19078*x1 + 99.94244*x2 + 88.32246*x3 + x51 - x563 =E= 93.19078;

e46..    93.18299*x1 + 99.93409*x2 + 88.31507*x3 + x52 - x564 =E= 93.18299;

e47..    95.7005*x1 + 100.3148*x2 + 91.42376*x3 + 0.075557*x4 + x53 - x565
       =E= 95.7005;

e48..    88.14464*x1 + 99.15483*x2 + 82.28351*x3 + 1.14081*x6 + x54 - x566
       =E= 88.14464;

e49..    104.8535*x1 + 99.85967*x2 + 107.2093*x3 + 2.385093*x4 + 7.112115*x5
       + x55 - x567 =E= 100.7674;

e50..    104.8447*x1 + 99.85132*x2 + 107.2003*x3 + 2.384893*x4 + 7.11152*x5
       + x56 - x568 =E= 100.759;

e51..    107.3218*x1 + 100.2352*x2 + 110.6925*x3 + 3.66776*x4 + 10.51484*x5
       + x57 - x569 =E= 101.1345;

e52..    104.836*x1 + 99.84301*x2 + 107.1914*x3 + 2.384695*x4 + 7.110929*x5
       + x58 - x570 =E= 100.7506;

e53..    107.3132*x1 + 100.2272*x2 + 110.6837*x3 + 3.667467*x4 + 10.514*x5
       + x59 - x571 =E= 101.1264;

e54..    107.3043*x1 + 100.2188*x2 + 110.6744*x3 + 3.667161*x4 + 10.51312*x5
       + x60 - x572 =E= 101.1179;

e55..    109.7541*x1 + 100.5892*x2 + 114.1911*x3 + 4.92179*x4 + 13.94376*x5
       + x61 - x573 =E= 101.2253;

e56..    102.3512*x1 + 99.46152*x2 + 103.7458*x3 + 1.074441*x4 + 3.740887*x5
       + x62 - x574 =E= 100.3657;

e57..    92.82856*x1 + 99.82675*x2 + 89.43723*x3 + 0.911558*x6 + x63 - x575
       =E= 92.82856;

e58..    92.8208*x1 + 99.81841*x2 + 89.42975*x3 + 0.911481*x6 + x64 - x576
       =E= 92.8208;

e59..    95.3637*x1 + 100.2034*x2 + 92.62982*x3 + 0.252037*x6 + x65 - x577
       =E= 95.3637;

e60..    92.81308*x1 + 99.8101*x2 + 89.42231*x3 + 0.911406*x6 + x66 - x578
       =E= 92.81308;

e61..    95.35609*x1 + 100.1954*x2 + 92.62243*x3 + 0.252017*x6 + x67 - x579
       =E= 95.35609;

e62..    95.34811*x1 + 100.1871*x2 + 92.61468*x3 + 0.251996*x6 + x68 - x580
       =E= 95.34811;

e63..    97.87773*x1 + 100.5586*x2 + 95.86293*x3 + x69 - x581 =E= 97.87773;

e64..    90.27531*x1 + 99.42738*x2 + 86.28888*x3 + 2.062481*x6 + x70 - x582
       =E= 90.27531;

e65..    106.9583*x1 + 100.2277*x2 + 109.3329*x3 + 2.913949*x4 + 9.260539*x5
       + x71 - x583 =E= 101.0487;

e66..    106.9494*x1 + 100.2193*x2 + 109.3238*x3 + 2.913706*x4 + 9.259765*x5
       + x72 - x584 =E= 101.0403;

e67..    109.4089*x1 + 100.5897*x2 + 112.8246*x3 + 4.185907*x4 + 12.67064*x5
       + x73 - x585 =E= 101.131;

e68..    106.9405*x1 + 100.211*x2 + 109.3147*x3 + 2.913463*x4 + 9.258995*x5
       + x74 - x586 =E= 101.0319;

e69..    109.4001*x1 + 100.5817*x2 + 112.8156*x3 + 4.185573*x4 + 12.66963*x5
       + x75 - x587 =E= 101.123;

e70..    109.391*x1 + 100.5733*x2 + 112.8061*x3 + 4.185223*x4 + 12.66857*x5
       + x76 - x588 =E= 101.1145;

e71..    111.8211*x1 + 100.9306*x2 + 116.3285*x3 + 5.428984*x4 + 16.10401*x5
       + x77 - x589 =E= 101.2023;

e72..    104.4715*x1 + 99.84357*x2 + 105.8581*x3 + 1.613714*x4 + 5.878962*x5
       + x78 - x590 =E= 100.7512;

e73..    90.62572*x1 + 99.44554*x2 + 87.41534*x3 + 1.26397*x6 + x79 - x591
       =E= 90.62572;

e74..    90.61814*x1 + 99.43723*x2 + 87.40803*x3 + 1.263864*x6 + x80 - x592
       =E= 90.61814;

e75..    93.16204*x1 + 99.83623*x2 + 90.58089*x3 + 0.563565*x6 + x81 - x593
       =E= 93.16204;

e76..    90.6106*x1 + 99.42896*x2 + 87.40076*x3 + 1.263759*x6 + x82 - x594
       =E= 90.6106;

e77..    93.1546*x1 + 99.82825*x2 + 90.57366*x3 + 0.56352*x6 + x83 - x595
       =E= 93.1546;

e78..    93.14682*x1 + 99.81991*x2 + 90.56609*x3 + 0.563473*x6 + x84 - x596
       =E= 93.14682;

e79..    95.68041*x1 + 100.2049*x2 + 93.78985*x3 + 0.188898*x6 + x85 - x597
       =E= 95.68041;

e80..    88.07456*x1 + 99.03179*x2 + 84.29686*x3 + 2.583556*x6 + x86 - x598
       =E= 88.07456;

e81..    98.20578*x1 + 99.93101*x2 + 97.99543*x3 + 0.056817*x6 + x87 - x599
       =E= 98.20578;

e82..    98.19757*x1 + 99.92266*x2 + 97.98724*x3 + 0.056812*x6 + x88 - x600
       =E= 98.19757;

e83..    100.7203*x1 + 100.3039*x2 + 101.362*x3 + 0.211394*x4 + 1.224145*x5
       + x89 - x601 =E= 100.7203;

e84..    98.1894*x1 + 99.91434*x2 + 97.97908*x3 + 0.056807*x6 + x90 - x602
       =E= 98.1894;

e85..    100.7123*x1 + 100.2959*x2 + 101.3539*x3 + 0.211377*x4 + 1.224047*x5
       + x91 - x603 =E= 100.7123;

e86..    100.7039*x1 + 100.2875*x2 + 101.3454*x3 + 0.21136*x4 + 1.223945*x5
       + x92 - x604 =E= 100.7039;

e87..    103.2067*x1 + 100.6554*x2 + 104.7572*x3 + 1.541525*x4 + 4.548148*x5
       + x93 - x605 =E= 101.1867;

e88..    95.66567*x1 + 99.53553*x2 + 94.66181*x3 + 0.465642*x6 + x94 - x606
       =E= 95.66567;

e89..    99.55151*x1 + 99.74979*x2 + 98.15941*x3 + 0.028961*x4 + x95 - x607
       =E= 99.55151;

e90..    99.54319*x1 + 99.74145*x2 + 98.1512*x3 + 0.028959*x4 + x96 - x608
       =E= 99.54319;

e91..    102.0589*x1 + 100.1293*x2 + 101.5021*x3 + 1.366502*x4 + 1.364379*x5
       + x97 - x609 =E= 100.7842;

e92..    99.5349*x1 + 99.73315*x2 + 98.14304*x3 + 0.028956*x4 + x98 - x610
       =E= 99.5349;

e93..    102.0508*x1 + 100.1213*x2 + 101.494*x3 + 1.366393*x4 + 1.36427*x5
       + x99 - x611 =E= 100.7762;

e94..    102.0422*x1 + 100.1129*x2 + 101.4855*x3 + 1.366278*x4 + 1.364156*x5
       + x100 - x612 =E= 100.7678;

e95..    104.5364*x1 + 100.4871*x2 + 104.8734*x3 + 2.675738*x4 + 4.664431*x5
       + x101 - x613 =E= 101.1866;

e96..    97.01664*x1 + 99.34754*x2 + 94.84932*x3 + 0.260842*x6 + x102 - x614
       =E= 97.01664;

e97..    90.5463*x1 + 98.81667*x2 + 86.58553*x3 + 1.98134*x6 + x103 - x615
       =E= 90.5463;

e98..    90.53873*x1 + 98.80841*x2 + 86.57829*x3 + 1.981174*x6 + x104 - x616
       =E= 90.53873;

e99..    93.0994*x1 + 99.23023*x2 + 89.74523*x3 + 0.696017*x6 + x105 - x617
       =E= 93.0994;

e100..    90.5312*x1 + 98.80019*x2 + 86.57108*x3 + 1.981009*x6 + x106 - x618
        =E= 90.5312;

e101..    93.09197*x1 + 99.2223*x2 + 89.73806*x3 + 0.695962*x6 + x107 - x619
        =E= 93.09197;

e102..    93.08419*x1 + 99.21401*x2 + 89.73056*x3 + 0.695903*x6 + x108 - x620
        =E= 93.08419;

e103..    95.63383*x1 + 99.6211*x2 + 92.9486*x3 + 0.061869*x6 + x109 - x621
        =E= 95.63383;

e104..    87.97767*x1 + 98.37936*x2 + 83.47312*x3 + 3.587647*x6 + x110 - x622
        =E= 87.97767;

e105..    107.0921*x1 + 100.7671*x2 + 110.3585*x3 + 3.609731*x4 + 10.23721*x5
        + x111 - x623 =E= 101.0981;

e106..    107.0831*x1 + 100.7587*x2 + 110.3493*x3 + 3.609429*x4 + 10.23636*x5
        + x112 - x624 =E= 101.0897;

e107..    109.5294*x1 + 101.1092*x2 + 113.8531*x3 + 4.866386*x4 + 13.65221*x5
        + x113 - x625 =E= 101.1784;

e108..    107.0742*x1 + 100.7503*x2 + 110.3401*x3 + 3.609129*x4 + 10.2355*x5
        + x114 - x626 =E= 101.0812;

e109..    109.5207*x1 + 101.1011*x2 + 113.844*x3 + 4.865998*x4 + 13.65112*x5
        + x115 - x627 =E= 101.1704;

e110..    109.5115*x1 + 101.0927*x2 + 113.8345*x3 + 4.865591*x4 + 13.64998*x5
        + x116 - x628 =E= 101.1619;

e111..    111.929*x1 + 101.4308*x2 + 117.3591*x3 + 6.093911*x4 + 17.08953*x5
        + x117 - x629 =E= 101.2478;

e112..    104.6189*x1 + 100.4035*x2 + 106.8799*x3 + 2.324484*x4 + 6.849819*x5
        + x118 - x630 =E= 101.006;

e113..    107.2604*x1 + 99.72527*x2 + 111.4*x3 + 3.079362*x4 + 11.3531*x5
        + x119 - x631 =E= 100.6318;

e114..    107.2514*x1 + 99.71694*x2 + 111.3907*x3 + 3.079104*x4 + 11.35215*x5
        + x120 - x632 =E= 100.6234;

e115..    109.7133*x1 + 100.1057*x2 + 114.9371*x3 + 4.346909*x4 + 14.8077*x5
        + x121 - x633 =E= 101.0056;

e116..    107.2425*x1 + 99.70864*x2 + 111.3814*x3 + 3.078848*x4 + 11.3512*x5
        + x122 - x634 =E= 100.615;

e117..    109.7045*x1 + 100.0977*x2 + 114.928*x3 + 4.346562*x4 + 14.80652*x5
        + x123 - x635 =E= 100.9975;

e118..    109.6953*x1 + 100.0894*x2 + 114.9183*x3 + 4.346199*x4 + 14.80528*x5
        + x124 - x636 =E= 100.9891;

e119..    112.1271*x1 + 100.4645*x2 + 118.4828*x3 + 5.58566*x4 + 18.28182*x5
        + x125 - x637 =E= 101.1786;

e120..    104.7705*x1 + 99.32203*x2 + 107.8759*x3 + 1.783622*x4 + 7.923342*x5
        + 0.016461*x6 + x126 - x638 =E= 100.0642;

e121..    90.13544*x1 + 99.95958*x2 + 85.57301*x3 + 2.046938*x6 + x127 - x639
        =E= 90.13544;

e122..    90.12791*x1 + 99.95122*x2 + 85.56585*x3 + 2.046767*x6 + x128 - x640
        =E= 90.12791;

e123..    92.66569*x1 + 100.3314*x2 + 88.668*x3 + 1.286582*x6 + x129 - x641
        =E= 92.66569;

e124..    90.12041*x1 + 99.94291*x2 + 85.55873*x3 + 2.046597*x6 + x130 - x642
        =E= 90.12041;

e125..    92.65829*x1 + 100.3234*x2 + 88.66092*x3 + 1.286479*x6 + x131 - x643
        =E= 92.65829;

e126..    92.65054*x1 + 100.315*x2 + 88.65351*x3 + 1.286372*x6 + x132 - x644
        =E= 92.65054;

e127..    95.17907*x1 + 100.6818*x2 + 91.80913*x3 + 0.670857*x6 + x133 - x645
        =E= 95.17907;

e128..    87.5915*x1 + 99.56525*x2 + 82.52755*x3 + 3.131929*x6 + x134 - x646
        =E= 87.5915;

e129..    118.5204*x1 + 100.8226*x2 + 130.392*x3 + 9.094712*x4 + 30.33617*x5
        + x135 - x647 =E= 101.0319;

e130..    118.5105*x1 + 100.8142*x2 + 130.3811*x3 + 9.093952*x4 + 30.33363*x5
        + x136 - x648 =E= 101.0235;

e131..    120.8173*x1 + 101.1627*x2 + 134.0072*x3 + 10.21289*x4 + 33.8692*x5
        + x137 - x649 =E= 101.1149;

e132..    118.5006*x1 + 100.8058*x2 + 130.3702*x3 + 9.093195*x4 + 30.33111*x5
        + x138 - x650 =E= 101.0151;

e133..    120.8076*x1 + 101.1546*x2 + 133.9965*x3 + 10.21207*x4 + 33.8665*x5
        + x139 - x651 =E= 101.1068;

e134..    120.7975*x1 + 101.1461*x2 + 133.9853*x3 + 10.21122*x4 + 33.86367*x5
        + x140 - x652 =E= 101.0984;

e135..    123.0663*x1 + 101.4823*x2 + 137.6053*x3 + 11.30208*x4 + 37.39607*x5
        + x141 - x653 =E= 101.1868;

e136..    116.1768*x1 + 100.461*x2 + 126.7638*x3 + 7.947744*x4 + 26.80196*x5
        + x142 - x654 =E= 100.9216;

e137..    77.9595*x1 + 98.70454*x2 + 70.40974*x3 + 9.167816*x6 + x143 - x655
        =E= 77.9595;

e138..    77.95298*x1 + 98.69629*x2 + 70.40385*x3 + 9.16705*x6 + x144 - x656
        =E= 77.95298;

e139..    80.48535*x1 + 99.12206*x2 + 73.13015*x3 + 7.566415*x6 + x145 - x657
        =E= 80.48535;

e140..    77.9465*x1 + 98.68808*x2 + 70.398*x3 + 9.166287*x6 + x146 - x658
        =E= 77.9465;

e141..    80.47893*x1 + 99.11415*x2 + 73.12431*x3 + 7.565811*x6 + x147 - x659
        =E= 80.47893;

e142..    80.4722*x1 + 99.10586*x2 + 73.11819*x3 + 7.565178*x6 + x148 - x660
        =E= 80.4722;

e143..    83.01161*x1 + 99.5168*x2 + 75.91119*x3 + 5.988021*x6 + x149 - x661
        =E= 83.01161;

e144..    75.43772*x1 + 98.26314*x2 + 67.75185*x3 + 10.89775*x6 + x150 - x662
        =E= 75.43772;

e145..    102.3629*x1 + 100.1869*x2 + 108.1629*x3 + 0.118945*x4 + 8.049984*x5
        + x151 - x663 =E= 100.6593;

e146..    102.3544*x1 + 100.1786*x2 + 108.1538*x3 + 0.118935*x4 + 8.049312*x5
        + x152 - x664 =E= 100.6509;

e147..    104.8569*x1 + 100.5504*x2 + 111.7301*x3 + 1.455357*x4 + 11.5373*x5
        + x153 - x665 =E= 101.1703;

e148..    102.3459*x1 + 100.1702*x2 + 108.1448*x3 + 0.118925*x4 + 8.048642*x5
        + x154 - x666 =E= 100.6425;

e149..    104.8485*x1 + 100.5424*x2 + 111.7212*x3 + 1.455241*x4 + 11.53638*x5
        + x155 - x667 =E= 101.1622;

e150..    104.8397*x1 + 100.534*x2 + 111.7118*x3 + 1.455119*x4 + 11.53541*x5
        + x156 - x668 =E= 101.1537;

e151..    107.3173*x1 + 100.8927*x2 + 115.31*x3 + 2.763325*x4 + 15.04817*x5
        + x157 - x669 =E= 101.24;

e152..    99.8379*x1 + 99.8013*x2 + 104.6131*x3 + 4.591835*x5 + x158 - x670
        =E= 99.28704;

e153..    95.36462*x1 + 99.48546*x2 + 88.59225*x3 + x159 - x671 =E= 95.36462;

e154..    95.35665*x1 + 99.47714*x2 + 88.58485*x3 + x160 - x672 =E= 95.35665;

e155..    97.88509*x1 + 99.87474*x2 + 91.66811*x3 + 0.194755*x4 + x161 - x673
        =E= 97.88509;

e156..    95.34871*x1 + 99.46887*x2 + 88.57748*x3 + x162 - x674 =E= 95.34871;

e157..    97.87727*x1 + 99.86676*x2 + 91.66079*x3 + 0.19474*x4 + x163 - x675
        =E= 97.87727;

e158..    97.86909*x1 + 99.85841*x2 + 91.65313*x3 + 0.194724*x4 + x164 - x676
        =E= 97.86909;

e159..    100.3812*x1 + 100.242*x2 + 94.78529*x3 + 1.524265*x4 + x165 - x677
        =E= 100.3812;

e160..    92.82271*x1 + 99.07315*x2 + 85.56089*x3 + 0.256081*x6 + x166 - x678
        =E= 92.82271;

e161..    85.01784*x1 + 98.74818*x2 + 81.31344*x3 + 6.043333*x6 + x167 - x679
        =E= 85.01784;

e162..    85.01073*x1 + 98.73993*x2 + 81.30664*x3 + 6.042827*x6 + x168 - x680
        =E= 85.01073;

e163..    87.58271*x1 + 99.16419*x2 + 84.41607*x3 + 4.410514*x6 + x169 - x681
        =E= 87.58271;

e164..    85.00366*x1 + 98.73171*x2 + 81.29988*x3 + 6.042325*x6 + x170 - x682
        =E= 85.00366;

e165..    87.57572*x1 + 99.15627*x2 + 84.40933*x3 + 4.410162*x6 + x171 - x683
        =E= 87.57572;

e166..    87.5684*x1 + 99.14799*x2 + 84.40228*x3 + 4.409793*x6 + x172 - x684
        =E= 87.5684;

e167..    90.13657*x1 + 99.55745*x2 + 87.56923*x3 + 2.970643*x6 + x173 - x685
        =E= 90.13657;

e168..    82.44541*x1 + 98.30834*x2 + 78.26481*x3 + 7.721583*x6 + x174 - x686
        =E= 82.44541;

e169..    112.1658*x1 + 100.8155*x2 + 115.7799*x3 + 6.867602*x4 + 15.66643*x5
        + x175 - x687 =E= 101.0901;

e170..    112.1564*x1 + 100.807*x2 + 115.7702*x3 + 6.867028*x4 + 15.66512*x5
        + x176 - x688 =E= 101.0817;

e171..    114.5402*x1 + 101.1558*x2 + 119.2728*x3 + 8.0448*x4 + 19.07953*x5
        + x177 - x689 =E= 101.1708;

e172..    112.1471*x1 + 100.7986*x2 + 115.7605*x3 + 6.866457*x4 + 15.66382*x5
        + x178 - x690 =E= 101.0733;

e173..    114.5311*x1 + 101.1477*x2 + 119.2633*x3 + 8.044157*x4 + 19.07801*x5
        + x179 - x691 =E= 101.1627;

e174..    114.5215*x1 + 101.1392*x2 + 119.2533*x3 + 8.043485*x4 + 19.07641*x5
        + x180 - x692 =E= 101.1543;

e175..    116.8724*x1 + 101.4756*x2 + 122.7706*x3 + 9.192707*x4 + 22.50831*x5
        + x181 - x693 =E= 101.2405;

e176..    109.7507*x1 + 100.4537*x2 + 112.296*x3 + 5.661437*x4 + 12.27414*x5
        + x182 - x694 =E= 100.9977;

e177..    93.22319*x1 + 99.28795*x2 + 90.17088*x3 + 0.197777*x6 + x183 - x695
        =E= 93.22319;

e178..    93.21539*x1 + 99.27965*x2 + 90.16334*x3 + 0.19776*x6 + x184 - x696
        =E= 93.21539;

e179..    95.75901*x1 + 99.6844*x2 + 93.38808*x3 + x185 - x697 =E= 95.75901;

e180..    93.20764*x1 + 99.27139*x2 + 90.15584*x3 + 0.197744*x6 + x186 - x698
        =E= 93.20764;

e181..    95.75137*x1 + 99.67643*x2 + 93.38062*x3 + x187 - x699 =E= 95.75137;

e182..    95.74336*x1 + 99.6681*x2 + 93.37282*x3 + x188 - x700 =E= 95.74336;

e183..    98.273*x1 + 100.0586*x2 + 96.64481*x3 + 0.163364*x4 + x189 - x701
        =E= 98.273;

e184..    90.66849*x1 + 98.86826*x2 + 86.99702*x3 + 1.221249*x6 + x190 - x702
        =E= 90.66849;

e185..    104.4618*x1 + 100.3706*x2 + 106.3547*x3 + 1.47233*x4 + 6.265653*x5
        + x191 - x703 =E= 101.0655;

e186..    104.453*x1 + 100.3622*x2 + 106.3458*x3 + 1.472207*x4 + 6.26513*x5
        + x192 - x704 =E= 101.0571;

e187..    106.9318*x1 + 100.7273*x2 + 109.8186*x3 + 2.776755*x4 + 9.648748*x5
        + x193 - x705 =E= 101.1472;

e188..    104.4443*x1 + 100.3538*x2 + 106.337*x3 + 1.472084*x4 + 6.264608*x5
        + x194 - x706 =E= 101.0487;

e189..    106.9233*x1 + 100.7193*x2 + 109.8099*x3 + 2.776533*x4 + 9.647978*x5
        + x195 - x707 =E= 101.1391;

e190..    106.9143*x1 + 100.7108*x2 + 109.8007*x3 + 2.776301*x4 + 9.647171*x5
        + x196 - x708 =E= 101.1306;

e191..    109.3664*x1 + 101.0631*x2 + 113.2993*x3 + 4.05256*x4 + 13.05946*x5
        + x197 - x709 =E= 101.2178;

e192..    101.9585*x1 + 99.99188*x2 + 102.9119*x3 + 0.13999*x4 + 2.915437*x5
        + x198 - x710 =E= 100.6619;

e193..    89.38967*x1 + 99.1157*x2 + 86.76184*x3 + 3.773985*x6 + x199 - x711
        =E= 89.38967;

e194..    89.3822*x1 + 99.10741*x2 + 86.75458*x3 + 3.773669*x6 + x200 - x712
        =E= 89.3822;

e195..    91.95278*x1 + 99.51837*x2 + 89.978*x3 + 2.313107*x6 + x201 - x713
        =E= 91.95278;

e196..    89.37476*x1 + 99.09917*x2 + 86.74737*x3 + 3.773355*x6 + x202 - x714
        =E= 89.37476;

e197..    91.94544*x1 + 99.51043*x2 + 89.97082*x3 + 2.312922*x6 + x203 - x715
        =E= 91.94544;

e198..    91.93775*x1 + 99.50211*x2 + 89.9633*x3 + 2.312729*x6 + x204 - x716
        =E= 91.93775;

e199..    94.49855*x1 + 99.89869*x2 + 93.23773*x3 + 1.078578*x6 + x205 - x717
        =E= 94.49855;

e200..    86.81245*x1 + 98.68959*x2 + 83.59311*x3 + 5.41209*x6 + x206 - x718
        =E= 86.81245;

e201..    108.0654*x1 + 100.5139*x2 + 109.7034*x3 + 5.178883*x4 + 9.639445*x5
        + x207 - x719 =E= 101.0402;

e202..    108.0563*x1 + 100.5055*x2 + 109.6943*x3 + 5.17845*x4 + 9.638639*x5
        + x208 - x720 =E= 101.0318;

e203..    110.4867*x1 + 100.8653*x2 + 113.1473*x3 + 6.396625*x4 + 13.00144*x5
        + x209 - x721 =E= 101.1229;

e204..    108.0473*x1 + 100.4971*x2 + 109.6851*x3 + 5.17802*x4 + 9.637837*x5
        + x210 - x722 =E= 101.0234;

e205..    110.4779*x1 + 100.8573*x2 + 113.1382*x3 + 6.396114*x4 + 13.0004*x5
        + x211 - x723 =E= 101.1148;

e206..    110.4686*x1 + 100.8489*x2 + 113.1288*x3 + 6.395579*x4 + 12.99932*x5
        + x212 - x724 =E= 101.1063;

e207..    112.8696*x1 + 101.196*x2 + 116.6044*x3 + 7.585245*x4 + 16.3876*x5
        + x213 - x725 =E= 101.1945;

e208..    105.6075*x1 + 100.1405*x2 + 106.2771*x3 + 3.932465*x4 + 6.30672*x5
        + x214 - x726 =E= 100.9457;

e209..    84.32616*x1 + 98.4522*x2 + 78.18296*x3 + 5.192775*x6 + x215 - x727
        =E= 84.32616;

e210..    84.31911*x1 + 98.44397*x2 + 78.17643*x3 + 5.192341*x6 + x216 - x728
        =E= 84.31911;

e211..    86.87906*x1 + 98.87896*x2 + 81.13375*x3 + 3.557445*x6 + x217 - x729
        =E= 86.87906;

e212..    84.3121*x1 + 98.43578*x2 + 78.16992*x3 + 5.191909*x6 + x218 - x730
        =E= 84.3121;

e213..    86.87212*x1 + 98.87107*x2 + 81.12727*x3 + 3.557161*x6 + x219 - x731
        =E= 86.87212;

e214..    86.86486*x1 + 98.8628*x2 + 81.12049*x3 + 3.556863*x6 + x220 - x732
        =E= 86.86486;

e215..    89.42236*x1 + 99.28265*x2 + 84.13802*x3 + 1.988109*x6 + x221 - x733
        =E= 89.42236;

e216..    81.76712*x1 + 98.00129*x2 + 75.28847*x3 + 6.911304*x6 + x222 - x734
        =E= 81.76712;

e217..    112.953*x1 + 101.057*x2 + 120.4024*x3 + 6.190116*x4 + 20.21085*x5
        + x223 - x735 =E= 101.169;

e218..    112.9436*x1 + 101.0485*x2 + 120.3923*x3 + 6.189598*x4 + 20.20916*x5
        + x224 - x736 =E= 101.1605;

e219..    115.3243*x1 + 101.3883*x2 + 123.9787*x3 + 7.385558*x4 + 23.71039*x5
        + x225 - x737 =E= 101.2465;

e220..    112.9342*x1 + 101.0401*x2 + 120.3823*x3 + 6.189083*x4 + 20.20748*x5
        + x226 - x738 =E= 101.1521;

e221..    115.3151*x1 + 101.3802*x2 + 123.9688*x3 + 7.384968*x4 + 23.7085*x5
        + x227 - x739 =E= 101.2384;

e222..    115.3054*x1 + 101.3717*x2 + 123.9584*x3 + 7.384351*x4 + 23.70652*x5
        + x228 - x740 =E= 101.23;

e223..    117.6522*x1 + 101.6994*x2 + 127.5519*x3 + 8.551564*x4 + 27.21762*x5
        + x229 - x741 =E= 101.3132;

e224..    110.54*x1 + 100.7045*x2 + 116.8274*x3 + 4.965594*x4 + 16.72423*x5
        + x230 - x742 =E= 101.0798;

e225..    98.02219*x1 + 99.19639*x2 + 98.19867*x3 + 0.172301*x6 + x231 - x743
        =E= 98.02219;

e226..    98.01399*x1 + 99.1881*x2 + 98.19046*x3 + 0.172287*x6 + x232 - x744
        =E= 98.01399;

e227..    100.5528*x1 + 99.59623*x2 + 101.6039*x3 + 1.601388*x5 + x233 - x745
        =E= 99.68193;

e228..    98.00584*x1 + 99.17984*x2 + 98.18229*x3 + 0.172273*x6 + x234 - x746
        =E= 98.00584;

e229..    100.5448*x1 + 99.58828*x2 + 101.5958*x3 + 1.60126*x5 + x235 - x747
        =E= 99.67397;

e230..    100.5364*x1 + 99.57995*x2 + 101.5873*x3 + 1.601127*x5 + x236 - x748
        =E= 99.66564;

e231..    103.0546*x1 + 99.9738*x2 + 105.0367*x3 + 0.964119*x4 + 4.957597*x5
        + x237 - x749 =E= 100.8826;

e232..    95.46539*x1 + 98.77319*x2 + 94.82536*x3 + 0.910467*x6 + x238 - x750
        =E= 95.46539;

e233..    99.67356*x1 + 100.4487*x2 + 97.90654*x3 + 0.64181*x4 + x239 - x751
        =E= 99.67356;

e234..    99.66523*x1 + 100.4403*x2 + 97.89836*x3 + 0.641756*x4 + x240 - x752
        =E= 99.66523;

e235..    102.1653*x1 + 100.8025*x2 + 101.2091*x3 + 1.966402*x4 + 0.947935*x5
        + x241 - x753 =E= 101.2393;

e236..    99.65694*x1 + 100.432*x2 + 97.89021*x3 + 0.641703*x4 + x242 - x754
        =E= 99.65694;

e237..    102.1571*x1 + 100.7945*x2 + 101.201*x3 + 1.966245*x4 + 0.947859*x5
        + x243 - x755 =E= 101.2312;

e238..    102.1486*x1 + 100.7861*x2 + 101.1926*x3 + 1.96608*x4 + 0.94778*x5
        + x244 - x756 =E= 101.2228;

e239..    104.6278*x1 + 101.1355*x2 + 104.5413*x3 + 3.262386*x4 + 4.213883*x5
        + x245 - x757 =E= 101.3063;

e240..    97.1551*x1 + 100.073*x2 + 94.63763*x3 + 0.073331*x6 + x246 - x758
        =E= 97.1551;

e241..    83.91479*x1 + 98.86067*x2 + 80.99516*x3 + 7.182595*x6 + x247 - x759
        =E= 83.91479;

e242..    83.90778*x1 + 98.85241*x2 + 80.98839*x3 + 7.181995*x6 + x248 - x760
        =E= 83.90778;

e243..    86.48423*x1 + 99.27256*x2 + 84.13004*x3 + 5.612677*x6 + x249 - x761
        =E= 86.48423;

e244..    83.9008*x1 + 98.84418*x2 + 80.98165*x3 + 7.181397*x6 + x250 - x762
        =E= 83.9008;

e245..    86.47732*x1 + 99.26463*x2 + 84.12333*x3 + 5.612228*x6 + x251 - x763
        =E= 86.47732;

e246..    86.4701*x1 + 99.25633*x2 + 84.11629*x3 + 5.611759*x6 + x252 - x764
        =E= 86.4701;

e247..    89.04402*x1 + 99.66182*x2 + 87.31621*x3 + 4.146721*x6 + x253 - x765
        =E= 89.04402;

e248..    81.33924*x1 + 98.42508*x2 + 77.91521*x3 + 8.845479*x6 + x254 - x766
        =E= 81.33924;

e249..    113.0754*x1 + 100.7103*x2 + 115.5361*x3 + 7.713995*x4 + 15.44704*x5
        + x255 - x767 =E= 101.0655;

e250..    113.0659*x1 + 100.7019*x2 + 115.5265*x3 + 7.71335*x4 + 15.44575*x5
        + x256 - x768 =E= 101.0571;

e251..    115.4359*x1 + 101.0546*x2 + 118.9928*x3 + 8.867336*x4 + 18.82289*x5
        + x257 - x769 =E= 101.1472;

e252..    113.0565*x1 + 100.6936*x2 + 115.5168*x3 + 7.712708*x4 + 15.44447*x5
        + x258 - x770 =E= 101.0487;

e253..    115.4267*x1 + 101.0465*x2 + 118.9833*x3 + 8.866628*x4 + 18.82139*x5
        + x259 - x771 =E= 101.1391;

e254..    115.4171*x1 + 101.0381*x2 + 118.9734*x3 + 8.865887*x4 + 18.81981*x5
        + x260 - x772 =E= 101.1307;

e255..    117.7536*x1 + 101.3782*x2 + 122.4553*x3 + 9.991628*x4 + 22.2154*x5
        + x261 - x773 =E= 101.2178;

e256..    110.6735*x1 + 100.3445*x2 + 112.0894*x3 + 6.531887*x4 + 12.09285*x5
        + x262 - x774 =E= 100.9566;

e257..    95.1848*x1 + 99.8536*x2 + 92.52889*x3 + 0.255526*x6 + x263 - x775
        =E= 95.1848;

e258..    95.17684*x1 + 99.84525*x2 + 92.52116*x3 + 0.255505*x6 + x264 - x776
        =E= 95.17684;

e259..    97.71767*x1 + 100.2293*x2 + 95.79022*x3 + x265 - x777 =E= 97.71767;

e260..    95.16893*x1 + 99.83695*x2 + 92.51346*x3 + 0.255484*x6 + x266 - x778
        =E= 95.16893;

e261..    97.70987*x1 + 100.2213*x2 + 95.78257*x3 + x267 - x779 =E= 97.70987;

e262..    97.7017*x1 + 100.2129*x2 + 95.77456*x3 + x268 - x780 =E= 97.7017;

e263..    100.2259*x1 + 100.5835*x2 + 99.08772*x3 + x269 - x781 =E= 100.2259;

e264..    92.63022*x1 + 99.45525*x2 + 89.30771*x3 + 1.22763*x6 + x270 - x782
        =E= 92.63022;

e265..    102.5833*x1 + 99.83629*x2 + 103.8714*x3 + 1.634742*x4 + 3.815604*x5
        + x271 - x783 =E= 100.7438;

e266..    102.5747*x1 + 99.82794*x2 + 103.8627*x3 + 1.634605*x4 + 3.815285*x5
        + x272 - x784 =E= 100.7354;

e267..    105.0659*x1 + 100.2126*x2 + 107.307*x3 + 2.933457*x4 + 7.169032*x5
        + x273 - x785 =E= 101.1135;

e268..    102.5662*x1 + 99.81963*x2 + 103.854*x3 + 1.634469*x4 + 3.814967*x5
        + x274 - x786 =E= 100.727;

e269..    105.0575*x1 + 100.2046*x2 + 107.2984*x3 + 2.933223*x4 + 7.16846*x5
        + x275 - x787 =E= 101.1054;

e270..    105.0487*x1 + 100.1963*x2 + 107.2894*x3 + 2.932978*x4 + 7.167861*x5
        + x276 - x788 =E= 101.0969;

e271..    107.5153*x1 + 100.5675*x2 + 110.763*x3 + 4.203747*x4 + 10.55381*x5
        + x277 - x789 =E= 101.1868;

e272..    100.0697*x1 + 99.43725*x2 + 100.4606*x3 + 0.308311*x4 + 0.498751*x5
        + x278 - x790 =E= 100.0697;

e273..    93.20009*x1 + 99.86957*x2 + 88.94069*x3 + 0.26*x6 + x279 - x791
        =E= 93.20009;

e274..    93.1923*x1 + 99.86122*x2 + 88.93326*x3 + 0.259978*x6 + x280 - x792
        =E= 93.1923;

e275..    95.71581*x1 + 100.2447*x2 + 92.07673*x3 + 0.073586*x6 + x281 - x793
        =E= 95.71581;

e276..    93.18454*x1 + 99.85291*x2 + 88.92586*x3 + 0.259956*x6 + x282 - x794
        =E= 93.18454;

e277..    95.70817*x1 + 100.2367*x2 + 92.06938*x3 + 0.07358*x6 + x283 - x795
        =E= 95.70817;

e278..    95.70017*x1 + 100.2283*x2 + 92.06168*x3 + 0.073574*x6 + x284 - x796
        =E= 95.70017;

e279..    98.21076*x1 + 100.5983*x2 + 95.25472*x3 + 0.991182*x4 + x285 - x797
        =E= 98.21076;

e280..    90.66655*x1 + 99.4718*x2 + 85.85014*x3 + 0.690227*x6 + x286 - x798
        =E= 90.66655;

e281..    104.296*x1 + 99.81963*x2 + 107.6704*x3 + 0.609668*x4 + 7.648615*x5
        + x287 - x799 =E= 100.3972;

e282..    104.2873*x1 + 99.81129*x2 + 107.6614*x3 + 0.609617*x4 + 7.647975*x5
        + x288 - x800 =E= 100.3888;

e283..    106.7829*x1 + 100.1966*x2 + 111.1953*x3 + 1.933441*x4 + 11.09001*x5
        + x289 - x801 =E= 101.0819;

e284..    104.2786*x1 + 99.80298*x2 + 107.6524*x3 + 0.609566*x4 + 7.647339*x5
        + x290 - x802 =E= 100.3804;

e285..    106.7743*x1 + 100.1886*x2 + 111.1864*x3 + 1.933287*x4 + 11.08912*x5
        + x291 - x803 =E= 101.0739;

e286..    106.7654*x1 + 100.1802*x2 + 111.1771*x3 + 1.933125*x4 + 11.0882*x5
        + x292 - x804 =E= 101.0654;

e287..    109.2336*x1 + 100.552*x2 + 114.7338*x3 + 3.228866*x4 + 14.55593*x5
        + x293 - x805 =E= 101.1552;

e288..    101.7752*x1 + 99.41998*x2 + 104.1636*x3 + 4.237148*x5 + x294 - x806
        =E= 99.25413;

e289..    99.7444*x1 + 100.4497*x2 + 97.35412*x3 + x295 - x807 =E= 99.7444;

e290..    99.73606*x1 + 100.4413*x2 + 97.34598*x3 + x296 - x808 =E= 99.73606;

e291..    102.2422*x1 + 100.8035*x2 + 100.6491*x3 + 1.284193*x4 + 0.447821*x5
        + x297 - x809 =E= 101.1788;

e292..    99.72776*x1 + 100.433*x2 + 97.33788*x3 + x298 - x810 =E= 99.72776;

e293..    102.234*x1 + 100.7955*x2 + 100.641*x3 + 1.284091*x4 + 0.447786*x5
        + x299 - x811 =E= 101.1707;

e294..    102.2255*x1 + 100.787*x2 + 100.6326*x3 + 1.283983*x4 + 0.447748*x5
        + x300 - x812 =E= 101.1623;

e295..    104.7103*x1 + 101.1364*x2 + 103.9742*x3 + 2.595216*x4 + 3.704269*x5
        + x301 - x813 =E= 101.2482;

e296..    97.21942*x1 + 100.074*x2 + 94.09332*x3 + 0.10876*x6 + x302 - x814
        =E= 97.21942;

e297..    97.97103*x1 + 99.19943*x2 + 98.75513*x3 + 0.056077*x6 + x303 - x815
        =E= 97.97103;

e298..    97.96284*x1 + 99.19114*x2 + 98.74687*x3 + 0.056072*x6 + x304 - x816
        =E= 97.96284;

e299..    100.4951*x1 + 99.59912*x2 + 102.1662*x3 + 0.322352*x4 + 2.094162*x5
        + x305 - x817 =E= 100.3162;

e300..    97.95469*x1 + 99.18289*x2 + 98.73866*x3 + 0.056068*x6 + x306 - x818
        =E= 97.95469;

e301..    100.4871*x1 + 99.59117*x2 + 102.158*x3 + 0.322326*x4 + 2.093994*x5
        + x307 - x819 =E= 100.3082;

e302..    100.4787*x1 + 99.58285*x2 + 102.1495*x3 + 0.322299*x4 + 2.093819*x5
        + x308 - x820 =E= 100.2998;

e303..    102.9908*x1 + 99.97654*x2 + 105.6043*x3 + 1.649896*x4 + 5.458425*x5
        + x309 - x821 =E= 100.8854;

e304..    95.42124*x1 + 98.7764*x2 + 95.37547*x3 + 0.518407*x6 + x310 - x822
        =E= 95.42124;

e305..    82.17106*x1 + 99.12078*x2 + 75.90914*x3 + 5.611897*x6 + x311 - x823
        =E= 82.17106;

e306..    82.16419*x1 + 99.11249*x2 + 75.90279*x3 + 5.611428*x6 + x312 - x824
        =E= 82.16419;

e307..    84.70427*x1 + 99.52324*x2 + 78.78539*x3 + 4.150104*x6 + x313 - x825
        =E= 84.70427;

e308..    82.15735*x1 + 99.10425*x2 + 75.89648*x3 + 5.610961*x6 + x314 - x826
        =E= 82.15735;

e309..    84.69751*x1 + 99.5153*x2 + 78.7791*x3 + 4.149773*x6 + x315 - x827
        =E= 84.69751;

e310..    84.69043*x1 + 99.50698*x2 + 78.77252*x3 + 4.149426*x6 + x316 - x828
        =E= 84.69043;

e311..    87.23182*x1 + 99.90336*x2 + 81.71802*x3 + 2.762133*x6 + x317 - x829
        =E= 87.23182;

e312..    79.6357*x1 + 98.69489*x2 + 73.0918*x3 + 7.229094*x6 + x318 - x830
        =E= 79.6357;

e313..    114.753*x1 + 100.502*x2 + 123.1227*x3 + 6.565829*x4 + 23.05034*x5
        + x319 - x831 =E= 101.0487;

e314..    114.7434*x1 + 100.4936*x2 + 123.1125*x3 + 6.56528*x4 + 23.04841*x5
        + x320 - x832 =E= 101.0403;

e315..    117.1087*x1 + 100.854*x2 + 126.7201*x3 + 7.7489*x4 + 26.56618*x5
        + x321 - x833 =E= 101.131;

e316..    114.7338*x1 + 100.4853*x2 + 123.1022*x3 + 6.564734*x4 + 23.04649*x5
        + x322 - x834 =E= 101.0319;

e317..    117.0994*x1 + 100.8459*x2 + 126.71*x3 + 7.748281*x4 + 26.56406*x5
        + x323 - x835 =E= 101.123;

e318..    117.0896*x1 + 100.8375*x2 + 126.6994*x3 + 7.747634*x4 + 26.56184*x5
        + x324 - x836 =E= 101.1145;

e319..    119.4192*x1 + 101.1851*x2 + 130.3101*x3 + 8.902853*x4 + 30.08557*x5
        + x325 - x837 =E= 101.2023;

e320..    112.3533*x1 + 100.1282*x2 + 119.5224*x3 + 5.353995*x4 + 19.54323*x5
        + x326 - x838 =E= 100.9319;

e321..    105.6849*x1 + 99.98556*x2 + 109.5076*x3 + 2.432581*x4 + 9.451885*x5
        + x327 - x839 =E= 100.8945;

e322..    105.6761*x1 + 99.97721*x2 + 109.4985*x3 + 2.432378*x4 + 9.451095*x5
        + x328 - x840 =E= 100.886;

e323..    108.1463*x1 + 100.3564*x2 + 113.0316*x3 + 3.713577*x4 + 12.8937*x5
        + x329 - x841 =E= 101.1149;

e324..    105.6673*x1 + 99.96889*x2 + 109.4894*x3 + 2.432175*x4 + 9.450309*x5
        + x330 - x842 =E= 100.8777;

e325..    108.1376*x1 + 100.3484*x2 + 113.0226*x3 + 3.713281*x4 + 12.89267*x5
        + x331 - x843 =E= 101.1068;

e326..    108.1286*x1 + 100.34*x2 + 113.0132*x3 + 3.71297*x4 + 12.89159*x5
        + x332 - x844 =E= 101.0984;

e327..    110.5707*x1 + 100.706*x2 + 116.5674*x3 + 4.965946*x4 + 16.35822*x5
        + x333 - x845 =E= 101.1868;

e328..    103.1887*x1 + 99.59218*x2 + 106*x3 + 1.123605*x4 + 6.038174*x5 + x334
        - x846 =E= 100.4955;

e329..    91.93347*x1 + 99.70316*x2 + 87.42792*x3 + 0.890109*x6 + x335 - x847
        =E= 91.93347;

e330..    91.92578*x1 + 99.69482*x2 + 87.42061*x3 + 0.890034*x6 + x336 - x848
        =E= 91.92578;

e331..    94.46979*x1 + 100.0844*x2 + 90.55813*x3 + 0.219743*x6 + x337 - x849
        =E= 94.46979;

e332..    91.91813*x1 + 99.68653*x2 + 87.41334*x3 + 0.88996*x6 + x338 - x850
        =E= 91.91813;

e333..    94.46225*x1 + 100.0764*x2 + 90.5509*x3 + 0.219725*x6 + x339 - x851
        =E= 94.46225;

e334..    94.45435*x1 + 100.068*x2 + 90.54333*x3 + 0.219707*x6 + x340 - x852
        =E= 94.45435;

e335..    96.98621*x1 + 100.4439*x2 + 93.73124*x3 + 0.00763*x6 + x341 - x853
        =E= 96.98621;

e336..    89.38027*x1 + 99.29912*x2 + 84.3441*x3 + 2.053715*x6 + x342 - x854
        =E= 89.38027;

e337..    106.3408*x1 + 100.3367*x2 + 109.2634*x3 + 3.120574*x4 + 9.22443*x5
        + x343 - x855 =E= 100.9602;

e338..    106.3319*x1 + 100.3283*x2 + 109.2542*x3 + 3.120313*x4 + 9.223659*x5
        + x344 - x856 =E= 100.9518;

e339..    108.7895*x1 + 100.6947*x2 + 112.7526*x3 + 4.383033*x4 + 12.63078*x5
        + x345 - x857 =E= 101.0986;

e340..    106.3231*x1 + 100.32*x2 + 109.2452*x3 + 3.120053*x4 + 9.222892*x5
        + x346 - x858 =E= 100.9434;

e341..    108.7808*x1 + 100.6867*x2 + 112.7436*x3 + 4.382683*x4 + 12.62977*x5
        + x347 - x859 =E= 101.0905;

e342..    108.7717*x1 + 100.6783*x2 + 112.7342*x3 + 4.382316*x4 + 12.62871*x5
        + x348 - x860 =E= 101.0821;

e343..    111.2009*x1 + 101.0318*x2 + 116.2545*x3 + 5.616969*x4 + 16.06087*x5
        + x349 - x861 =E= 101.1712;

e344..    103.857*x1 + 99.95661*x2 + 105.7914*x3 + 1.830201*x4 + 5.847105*x5
        + x350 - x862 =E= 100.7588;

e345..    91.24835*x1 + 99.28995*x2 + 87.49549*x3 + 1.434654*x6 + x351 - x863
        =E= 91.24835;

e346..    91.24073*x1 + 99.28166*x2 + 87.48817*x3 + 1.434534*x6 + x352 - x864
        =E= 91.24073;

e347..    93.79518*x1 + 99.68622*x2 + 90.66776*x3 + 0.536769*x6 + x353 - x865
        =E= 93.79518;

e348..    91.23314*x1 + 99.2734*x2 + 87.48089*x3 + 1.434414*x6 + x354 - x866
        =E= 91.23314;

e349..    93.78769*x1 + 99.67826*x2 + 90.66052*x3 + 0.536726*x6 + x355 - x867
        =E= 93.78769;

e350..    93.77985*x1 + 99.66993*x2 + 90.65295*x3 + 0.536681*x6 + x356 - x868
        =E= 93.77985;

e351..    96.32257*x1 + 100.0603*x2 + 93.88281*x3 + 0.030991*x6 + x357 - x869
        =E= 96.32257;

e352..    88.68518*x1 + 98.87046*x2 + 84.36964*x3 + 2.831861*x6 + x358 - x870
        =E= 88.68518;

e353..    92.91636*x1 + 99.64844*x2 + 88.68411*x3 + 0.55512*x6 + x359 - x871
        =E= 92.91636;

e354..    92.90859*x1 + 99.64011*x2 + 88.67669*x3 + 0.555073*x6 + x360 - x872
        =E= 92.90859;

e355..    95.43334*x1 + 100.0316*x2 + 91.81739*x3 + 0.236077*x6 + x361 - x873
        =E= 95.43334;

e356..    92.90086*x1 + 99.63182*x2 + 88.66932*x3 + 0.555027*x6 + x362 - x874
        =E= 92.90086;

e357..    95.42572*x1 + 100.0236*x2 + 91.81006*x3 + 0.236059*x6 + x363 - x875
        =E= 95.42572;

e358..    95.41775*x1 + 100.0153*x2 + 91.80238*x3 + 0.236039*x6 + x364 - x876
        =E= 95.41775;

e359..    97.92993*x1 + 100.3931*x2 + 94.99294*x3 + 0.717904*x4 + 0.074719*x6
        + x365 - x877 =E= 97.92993;

e360..    90.38194*x1 + 99.24238*x2 + 85.59661*x3 + 1.201217*x6 + x366 - x878
        =E= 90.38194;

e361..    104.4959*x1 + 100.0292*x2 + 107.9*x3 + 0.801272*x4 + 7.861283*x5
        + x367 - x879 =E= 100.1858;

e362..    104.4871*x1 + 100.0208*x2 + 107.891*x3 + 0.801205*x4 + 7.860626*x5
        + x368 - x880 =E= 100.1774;

e363..    106.9807*x1 + 100.3985*x2 + 111.4265*x3 + 2.12026*x4 + 11.30486*x5
        + x369 - x881 =E= 101.0984;

e364..    104.4784*x1 + 100.0125*x2 + 107.882*x3 + 0.801138*x4 + 7.859972*x5
        + x370 - x882 =E= 100.1691;

e365..    106.9722*x1 + 100.3905*x2 + 111.4176*x3 + 2.120091*x4 + 11.30396*x5
        + x371 - x883 =E= 101.0903;

e366..    106.9632*x1 + 100.3821*x2 + 111.4083*x3 + 2.119914*x4 + 11.30301*x5
        + x372 - x884 =E= 101.0819;

e367..    109.4292*x1 + 100.7465*x2 + 114.9661*x3 + 3.410915*x4 + 14.77262*x5
        + x373 - x885 =E= 101.171;

e368..    101.9768*x1 + 99.63744*x2 + 104.3914*x3 + 4.44729*x5 + 0.068428*x6
        + x374 - x886 =E= 99.09024;

e369..    108.0202*x1 + 100.1445*x2 + 111.9265*x3 + 4.589039*x4 + 11.83738*x5
        + x375 - x887 =E= 101.0094;

e370..    108.0112*x1 + 100.1362*x2 + 111.9171*x3 + 4.588656*x4 + 11.8364*x5
        + x376 - x888 =E= 101.0009;

e371..    110.4502*x1 + 100.5096*x2 + 115.4391*x3 + 5.819692*x4 + 15.26918*x5
        + x377 - x889 =E= 101.1472;

e372..    108.0022*x1 + 100.1278*x2 + 111.9078*x3 + 4.588274*x4 + 11.83541*x5
        + x378 - x890 =E= 100.9925;

e373..    110.4413*x1 + 100.5016*x2 + 115.4299*x3 + 5.819228*x4 + 15.26796*x5
        + x379 - x891 =E= 101.1391;

e374..    110.4321*x1 + 100.4932*x2 + 115.4202*x3 + 5.818741*x4 + 15.26668*x5
        + x380 - x892 =E= 101.1307;

e375..    112.8412*x1 + 100.8535*x2 + 118.9607*x3 + 7.021412*x4 + 18.72087*x5
        + x381 - x893 =E= 101.2178;

e376..    105.5534*x1 + 99.7572*x2 + 108.4273*x3 + 3.329948*x4 + 8.430786*x5
        + x382 - x894 =E= 100.664;

e377..    89.46201*x1 + 99.52994*x2 + 85.1114*x3 + 3.196585*x6 + x383 - x895
        =E= 89.46201;

e378..    89.45453*x1 + 99.52162*x2 + 85.10428*x3 + 3.196318*x6 + x384 - x896
        =E= 89.45453;

e379..    92.01458*x1 + 99.91751*x2 + 88.23634*x3 + 1.907876*x6 + x385 - x897
        =E= 92.01458;

e380..    89.44709*x1 + 99.51334*x2 + 85.0972*x3 + 3.196052*x6 + x386 - x898
        =E= 89.44709;

e381..    92.00723*x1 + 99.90954*x2 + 88.2293*x3 + 1.907723*x6 + x387 - x899
        =E= 92.00723;

e382..    91.99954*x1 + 99.90118*x2 + 88.22192*x3 + 1.907564*x6 + x388 - x900
        =E= 91.99954;

e383..    94.55019*x1 + 100.2831*x2 + 91.40704*x3 + 0.915305*x6 + x389 - x901
        =E= 94.55019;

e384..    86.89568*x1 + 99.1194*x2 + 82.03571*x3 + 4.639554*x6 + x390 - x902
        =E= 86.89568;

e385..    94.90608*x1 + 99.7002*x2 + 91.16278*x3 + 0.170685*x6 + x391 - x903
        =E= 94.90608;

e386..    94.89815*x1 + 99.69187*x2 + 91.15516*x3 + 0.170671*x6 + x392 - x904
        =E= 94.89815;

e387..    97.43503*x1 + 100.0816*x2 + 94.36983*x3 + 0.026633*x6 + x393 - x905
        =E= 97.43503;

e388..    94.89025*x1 + 99.68357*x2 + 91.14757*x3 + 0.170657*x6 + x394 - x906
        =E= 94.89025;

e389..    97.42725*x1 + 100.0736*x2 + 94.36229*x3 + 0.026631*x6 + x395 - x907
        =E= 97.42725;

e390..    97.4191*x1 + 100.0652*x2 + 94.35441*x3 + 0.026628*x6 + x396 - x908
        =E= 97.4191;

e391..    99.93999*x1 + 100.4412*x2 + 97.61505*x3 + 0.519266*x4 + x397 - x909
        =E= 99.93999;

e392..    92.35601*x1 + 99.29601*x2 + 87.99763*x3 + 0.869587*x6 + x398 - x910
        =E= 92.35601;

e393..    102.8503*x1 + 99.98434*x2 + 105.391*x3 + 1.112054*x4 + 5.335586*x5
        + x399 - x911 =E= 100.8932;

e394..    102.8417*x1 + 99.97598*x2 + 105.3822*x3 + 1.111961*x4 + 5.33514*x5
        + x400 - x912 =E= 100.8848;

e395..    105.335*x1 + 100.3552*x2 + 108.8696*x3 + 2.4247*x4 + 8.731961*x5
        + x401 - x913 =E= 101.1146;

e396..    102.8331*x1 + 99.96766*x2 + 105.3735*x3 + 1.111868*x4 + 5.334696*x5
        + x402 - x914 =E= 100.8764;

e397..    105.3266*x1 + 100.3472*x2 + 108.8609*x3 + 2.424506*x4 + 8.731264*x5
        + x403 - x915 =E= 101.1065;

e398..    105.3178*x1 + 100.3388*x2 + 108.8518*x3 + 2.424303*x4 + 8.730534*x5
        + x404 - x916 =E= 101.0981;

e399..    107.786*x1 + 100.7048*x2 + 112.3659*x3 + 3.708825*x4 + 12.15705*x5
        + x405 - x917 =E= 101.1865;

e400..    100.3341*x1 + 99.59094*x2 + 101.9348*x3 + 1.973279*x5 + x406 - x918
        =E= 100.2142;

e401..    95.31072*x1 + 99.77843*x2 + 94.65648*x3 + 0.337523*x6 + x407 - x919
        =E= 95.31072;

e402..    95.30275*x1 + 99.77009*x2 + 94.64857*x3 + 0.337495*x6 + x408 - x920
        =E= 95.30275;

e403..    97.8424*x1 + 100.1569*x2 + 97.98708*x3 + 0.056369*x6 + x409 - x921
        =E= 97.8424;

e404..    95.29482*x1 + 99.76179*x2 + 94.64069*x3 + 0.337467*x6 + x410 - x922
        =E= 95.29482;

e405..    97.83458*x1 + 100.1489*x2 + 97.97925*x3 + 0.056364*x6 + x411 - x923
        =E= 97.83458;

e406..    97.82641*x1 + 100.1405*x2 + 97.97106*x3 + 0.05636*x6 + x412 - x924
        =E= 97.82641;

e407..    100.3494*x1 + 100.5138*x2 + 101.3508*x3 + 0.093077*x4 + 1.180878*x5
        + x413 - x925 =E= 100.3494;

e408..    92.75726*x1 + 99.37722*x2 + 91.36329*x3 + 1.177743*x6 + x414 - x926
        =E= 92.75726;

e409..    102.4403*x1 + 99.9118*x2 + 101.5024*x3 + 1.52087*x4 + 1.405045*x5
        + x415 - x927 =E= 100.818;

e410..    102.4317*x1 + 99.90345*x2 + 101.4939*x3 + 1.520743*x4 + 1.404927*x5
        + x416 - x928 =E= 100.8096;

e411..    104.9243*x1 + 100.2854*x2 + 104.8756*x3 + 2.823917*x4 + 4.697744*x5
        + x417 - x929 =E= 101.1552;

e412..    102.4232*x1 + 99.89514*x2 + 101.4854*x3 + 1.520616*x4 + 1.404811*x5
        + x418 - x930 =E= 100.8012;

e413..    104.9159*x1 + 100.2774*x2 + 104.8672*x3 + 2.823691*x4 + 4.697369*x5
        + x419 - x931 =E= 101.1471;

e414..    104.9072*x1 + 100.269*x2 + 104.8584*x3 + 2.823455*x4 + 4.696976*x5
        + x420 - x932 =E= 101.1387;

e415..    107.3752*x1 + 100.6375*x2 + 108.2729*x3 + 4.098424*x4 + 8.025452*x5
        + x421 - x933 =E= 101.2255;

e416..    99.92548*x1 + 99.51564*x2 + 98.15751*x3 + 0.189994*x4 + x422 - x934
        =E= 99.92548;

e417..    104.6453*x1 + 100.0646*x2 + 107.2443*x3 + 1.464329*x4 + 7.090963*x5
        + x423 - x935 =E= 100.9743;

e418..    104.6366*x1 + 100.0562*x2 + 107.2353*x3 + 1.464207*x4 + 7.09037*x5
        + x424 - x936 =E= 100.9658;

e419..    107.1208*x1 + 100.4326*x2 + 110.7381*x3 + 2.768764*x4 + 10.50651*x5
        + x425 - x937 =E= 101.2095;

e420..    104.6279*x1 + 100.0479*x2 + 107.2264*x3 + 1.464085*x4 + 7.08978*x5
        + x426 - x938 =E= 100.9574;

e421..    107.1123*x1 + 100.4246*x2 + 110.7293*x3 + 2.768543*x4 + 10.50568*x5
        + x427 - x939 =E= 101.2014;

e422..    107.1033*x1 + 100.4162*x2 + 110.72*x3 + 2.768312*x4 + 10.5048*x5
        + x428 - x940 =E= 101.1929;

e423..    109.5603*x1 + 100.7793*x2 + 114.2468*x3 + 4.044641*x4 + 13.94771*x5
        + x429 - x941 =E= 101.2776;

e424..    102.1359*x1 + 99.67428*x2 + 103.7698*x3 + 0.132048*x4 + 3.706368*x5
        + x430 - x942 =E= 100.2118;

e425..    92.99652*x1 + 99.61471*x2 + 89.39461*x3 + 0.268267*x6 + x431 - x943
        =E= 92.99652;

e426..    92.98875*x1 + 99.60638*x2 + 89.38714*x3 + 0.268245*x6 + x432 - x944
        =E= 92.98875;

e427..    95.52373*x1 + 99.99922*x2 + 92.57188*x3 + x433 - x945 =E= 95.52373;

e428..    92.98101*x1 + 99.59809*x2 + 89.37971*x3 + 0.268223*x6 + x434 - x946
        =E= 92.98101;

e429..    95.5161*x1 + 99.99124*x2 + 92.56449*x3 + x435 - x947 =E= 95.5161;

e430..    95.50811*x1 + 99.98288*x2 + 92.55675*x3 + x436 - x948 =E= 95.50811;

e431..    98.02987*x1 + 100.3619*x2 + 95.79011*x3 + 0.162584*x4 + x437 - x949
        =E= 98.02987;

e432..    90.45123*x1 + 99.20731*x2 + 86.26199*x3 + 1.081748*x6 + x438 - x950
        =E= 90.45123;

e433..    96.51308*x1 + 99.12411*x2 + 96.11582*x3 + 0.323528*x6 + x439 - x951
        =E= 96.51308;

e434..    96.50502*x1 + 99.11583*x2 + 96.10778*x3 + 0.323501*x6 + x440 - x952
        =E= 96.50502;

e435..    99.05443*x1 + 99.52649*x2 + 99.49232*x3 + 0.022709*x6 + x441 - x953
        =E= 98.92882;

e436..    96.49699*x1 + 99.10758*x2 + 96.09979*x3 + 0.323474*x6 + x442 - x954
        =E= 96.49699;

e437..    99.04652*x1 + 99.51854*x2 + 99.48437*x3 + 0.022707*x6 + x443 - x955
        =E= 98.92092;

e438..    99.03824*x1 + 99.51022*x2 + 99.47606*x3 + 0.022705*x6 + x444 - x956
        =E= 98.91265;

e439..    101.5687*x1 + 99.90651*x2 + 102.8991*x3 + 2.705633*x5 + x445 - x957
        =E= 100.3852;

e440..    93.94747*x1 + 98.69832*x2 + 92.77401*x3 + 1.343622*x6 + x446 - x958
        =E= 93.94747;

e441..    101.1935*x1 + 100.506*x2 + 99.99178*x3 + 1.720886*x4 + x447 - x959
        =E= 101.0487;

e442..    101.1851*x1 + 100.4976*x2 + 99.98342*x3 + 1.720742*x4 + x448 - x960
        =E= 101.0403;

e443..    103.6728*x1 + 100.8577*x2 + 103.3231*x3 + 3.018273*x4 + 3.169172*x5
        + x449 - x961 =E= 101.1311;

e444..    101.1766*x1 + 100.4892*x2 + 99.97511*x3 + 1.720599*x4 + x450 - x962
        =E= 101.0319;

e445..    103.6645*x1 + 100.8497*x2 + 103.3149*x3 + 3.018032*x4 + 3.168919*x5
        + x451 - x963 =E= 101.123;

e446..    103.6559*x1 + 100.8413*x2 + 103.3062*x3 + 3.01778*x4 + 3.168654*x5
        + x452 - x964 =E= 101.1145;

e447..    106.1212*x1 + 101.1887*x2 + 106.6815*x3 + 4.28711*x4 + 6.456946*x5
        + x453 - x965 =E= 101.2023;

e448..    98.68579*x1 + 100.1324*x2 + 96.69151*x3 + 0.395639*x4 + x454 - x966
        =E= 98.68579;

e449..    90.36672*x1 + 100.2177*x2 + 88.73911*x3 + 2.232165*x6 + x455 - x967
        =E= 90.36672;

e450..    90.35917*x1 + 100.2093*x2 + 88.73169*x3 + 2.231979*x6 + x456 - x968
        =E= 90.35917;

e451..    92.89585*x1 + 100.58*x2 + 91.95713*x3 + 1.297547*x6 + x457 - x969
        =E= 92.89585;

e452..    90.35165*x1 + 100.201*x2 + 88.72431*x3 + 2.231793*x6 + x458 - x970
        =E= 90.35165;

e453..    92.88843*x1 + 100.572*x2 + 91.94979*x3 + 1.297443*x6 + x459 - x971
        =E= 92.88843;

e454..    92.88066*x1 + 100.5636*x2 + 91.94211*x3 + 1.297334*x6 + x460 - x972
        =E= 92.88066;

e455..    95.40789*x1 + 100.9212*x2 + 95.21752*x3 + 0.542032*x6 + x461 - x973
        =E= 95.40789;

e456..    87.82366*x1 + 99.83327*x2 + 85.56738*x3 + 3.272483*x6 + x462 - x974
        =E= 87.82366;

e457..    106.9295*x1 + 99.44836*x2 + 107.2852*x3 + 3.038139*x4 + 7.342731*x5
        + 0.016398*x6 + x463 - x975 =E= 100.3504;

e458..    106.9206*x1 + 99.44005*x2 + 107.2762*x3 + 3.037885*x4 + 7.342117*x5
        + 0.016397*x6 + x464 - x976 =E= 100.342;

e459..    109.3868*x1 + 99.83902*x2 + 110.7329*x3 + 4.304376*x4 + 10.70378*x5
        + x465 - x977 =E= 100.7466;

e460..    106.9117*x1 + 99.43177*x2 + 107.2673*x3 + 3.037632*x4 + 7.341506*x5
        + 0.016396*x6 + x466 - x978 =E= 100.3337;

e461..    109.378*x1 + 99.83104*x2 + 110.7241*x3 + 4.304032*x4 + 10.70292*x5
        + x467 - x979 =E= 100.7386;

e462..    109.3689*x1 + 99.8227*x2 + 110.7148*x3 + 4.303672*x4 + 10.70203*x5
        + x468 - x980 =E= 100.7301;

e463..    111.8052*x1 + 100.2076*x2 + 114.1958*x3 + 5.54206*x4 + 14.09111*x5
        + x469 - x981 =E= 101.0421;

e464..    104.4355*x1 + 99.03463*x2 + 103.8569*x3 + 1.743973*x4 + 4.013081*x5
        + 0.162764*x6 + x470 - x982 =E= 99.66924;

e465..    111.7386*x1 + 100.3464*x2 + 117.859*x3 + 4.094439*x4 + 17.74613*x5
        + x471 - x983 =E= 101.0896;

e466..    111.7293*x1 + 100.338*x2 + 117.8492*x3 + 4.094096*x4 + 17.74465*x5
        + x472 - x984 =E= 101.0811;

e467..    114.1455*x1 + 100.704*x2 + 121.4408*x3 + 5.340713*x4 + 21.24803*x5
        + x473 - x985 =E= 101.1703;

e468..    111.72*x1 + 100.3297*x2 + 117.8394*x3 + 4.093756*x4 + 17.74317*x5
        + x474 - x986 =E= 101.0727;

e469..    114.1364*x1 + 100.696*x2 + 121.4311*x3 + 5.340286*x4 + 21.24634*x5
        + x475 - x987 =E= 101.1622;

e470..    114.1269*x1 + 100.6876*x2 + 121.421*x3 + 5.33984*x4 + 21.24456*x5
        + x476 - x988 =E= 101.1537;

e471..    116.5089*x1 + 101.0407*x2 + 125.0218*x3 + 6.557784*x4 + 24.75999*x5
        + x477 - x989 =E= 101.24;

e472..    109.2899*x1 + 99.96679*x2 + 114.2809*x3 + 2.819474*x4 + 14.25956*x5
        + x478 - x990 =E= 100.8735;

e473..    85.15059*x1 + 99.31393*x2 + 79.86018*x3 + 2.846138*x6 + x479 - x991
        =E= 85.15059;

e474..    85.14347*x1 + 99.30563*x2 + 79.8535*x3 + 2.8459*x6 + x480 - x992
        =E= 85.14347;

e475..    87.66858*x1 + 99.70942*x2 + 82.81716*x3 + 2.056191*x6 + x481 - x993
        =E= 87.66858;

e476..    85.13639*x1 + 99.29737*x2 + 79.84686*x3 + 2.845663*x6 + x482 - x994
        =E= 85.13639;

e477..    87.66158*x1 + 99.70146*x2 + 82.81054*x3 + 2.056027*x6 + x483 - x995
        =E= 87.66158;

e478..    87.65425*x1 + 99.69313*x2 + 82.80362*x3 + 2.055855*x6 + x484 - x996
        =E= 87.65425;

e479..    90.17736*x1 + 100.0827*x2 + 85.82746*x3 + 1.418388*x6 + x485 - x997
        =E= 90.17736;

e480..    82.62676*x1 + 98.89523*x2 + 76.95942*x3 + 4.208069*x6 + x486 - x998
        =E= 82.62676;

e481..    99.8964*x1 + 99.4426*x2 + 99.89894*x3 + 0.01687*x6 + x487 - x999
        =E= 99.7881;

e482..    99.88805*x1 + 99.43429*x2 + 99.89059*x3 + 0.016868*x6 + x488 - x1000
        =E= 99.77976;

e483..    102.4073*x1 + 99.83344*x2 + 103.299*x3 + 1.226983*x4 + 3.24406*x5
        + x489 - x1001 =E= 100.6876;

e484..    99.87974*x1 + 99.42601*x2 + 99.88228*x3 + 0.016867*x6 + x490 - x1002
        =E= 99.77146;

e485..    102.3992*x1 + 99.82547*x2 + 103.2907*x3 + 1.226885*x4 + 3.243801*x5
        + x491 - x1003 =E= 100.6796;

e486..    102.3906*x1 + 99.81713*x2 + 103.2821*x3 + 1.226782*x4 + 3.24353*x5
        + x492 - x1004 =E= 100.6711;

e487..    104.8876*x1 + 100.2022*x2 + 106.7246*x3 + 2.535104*x4 + 6.595209*x5
        + x493 - x1005 =E= 101.0688;

e488..    97.35723*x1 + 99.02867*x2 + 96.52889*x3 + 0.140881*x6 + x494 - x1006
        =E= 97.35723;

e489..    97.85454*x1 + 100.2274*x2 + 96.29051*x3 + 0.056649*x6 + x495 - x1007
        =E= 97.85454;

e490..    97.84636*x1 + 100.219*x2 + 96.28246*x3 + 0.056644*x6 + x496 - x1008
        =E= 97.84636;

e491..    100.3648*x1 + 100.5893*x2 + 99.59759*x3 + 0.391608*x4 + x497 - x1009
        =E= 100.3648;

e492..    97.83822*x1 + 100.2106*x2 + 96.27445*x3 + 0.05664*x6 + x498 - x1010
        =E= 97.83822;

e493..    100.3567*x1 + 100.5813*x2 + 99.58963*x3 + 0.391577*x4 + x499 - x1011
        =E= 100.3567;

e494..    100.3484*x1 + 100.5729*x2 + 99.58131*x3 + 0.391544*x4 + x500 - x1012
        =E= 100.3484;

e495..    102.8476*x1 + 100.9302*x2 + 102.936*x3 + 1.72184*x4 + 2.651562*x5
        + x501 - x1013 =E= 101.2629;

e496..    95.31959*x1 + 99.84325*x2 + 93.01895*x3 + 0.306091*x6 + x502 - x1014
        =E= 95.31959;

e497..    107.6865*x1 + 99.93101*x2 + 110.7387*x3 + 3.674527*x4 + 10.76927*x5
        + x503 - x1015 =E= 100.8394;

e498..    107.6775*x1 + 99.92266*x2 + 110.7294*x3 + 3.67422*x4 + 10.76837*x5
        + x504 - x1016 =E= 100.831;

e499..    110.129*x1 + 100.3039*x2 + 114.2407*x3 + 4.927268*x4 + 14.18565*x5
        + x505 - x1017 =E= 101.0312;

e500..    107.6685*x1 + 99.91434*x2 + 110.7202*x3 + 3.673914*x4 + 10.76748*x5
        + x506 - x1018 =E= 100.8226;

e501..    110.1202*x1 + 100.2959*x2 + 114.2316*x3 + 4.926875*x4 + 14.18452*x5
        + x507 - x1019 =E= 101.0231;

e502..    110.111*x1 + 100.2875*x2 + 114.222*x3 + 4.926463*x4 + 14.18333*x5
        + x508 - x1020 =E= 101.0147;

e503..    112.5324*x1 + 100.6554*x2 + 117.7529*x3 + 6.151182*x4 + 17.62331*x5
        + x509 - x1021 =E= 101.1065;

e504..    105.2069*x1 + 99.53552*x2 + 107.2513*x3 + 2.393521*x4 + 7.379425*x5
        + x510 - x1022 =E= 100.4403;

e505..    89.81431*x1 + 99.75037*x2 + 86.08942*x3 + 2.223894*x6 + x511 - x1023
        =E= 89.81431;

e506..    89.80681*x1 + 99.74203*x2 + 86.08222*x3 + 2.223708*x6 + x512 - x1024
        =E= 89.80681;

e507..    92.35319*x1 + 100.1298*x2 + 89.23037*x3 + 1.16126*x6 + x513 - x1025
        =E= 92.35319;

e508..    89.79933*x1 + 99.73373*x2 + 86.07506*x3 + 2.223523*x6 + x514 - x1026
        =E= 89.79933;

e509..    92.34581*x1 + 100.1218*x2 + 89.22325*x3 + 1.161168*x6 + x515 - x1027
        =E= 92.34581;

e510..    92.33809*x1 + 100.1134*x2 + 89.21579*x3 + 1.161071*x6 + x516 - x1028
        =E= 92.33809;

e511..    94.87524*x1 + 100.4877*x2 + 92.41667*x3 + 0.439183*x6 + x517 - x1029
        =E= 94.87524;

e512..    87.26181*x1 + 99.34815*x2 + 82.99741*x3 + 3.563128*x6 + x518 - x1030
        =E= 87.26181;

e513.. -(sqr(x7) + sqr(x8) + sqr(x9) + sqr(x10) + sqr(x11) + sqr(x12) + sqr(x13
       ) + sqr(x14) + sqr(x15) + sqr(x16) + sqr(x17) + sqr(x18) + sqr(x19) + 
       sqr(x20) + sqr(x21) + sqr(x22) + sqr(x23) + sqr(x24) + sqr(x25) + sqr(
       x26) + sqr(x27) + sqr(x28) + sqr(x29) + sqr(x30) + sqr(x31) + sqr(x32)
        + sqr(x33) + sqr(x34) + sqr(x35) + sqr(x36) + sqr(x37) + sqr(x38) + 
       sqr(x39) + sqr(x40) + sqr(x41) + sqr(x42) + sqr(x43) + sqr(x44) + sqr(
       x45) + sqr(x46) + sqr(x47) + sqr(x48) + sqr(x49) + sqr(x50) + sqr(x51)
        + sqr(x52) + sqr(x53) + sqr(x54) + sqr(x55) + sqr(x56) + sqr(x57) + 
       sqr(x58) + sqr(x59) + sqr(x60) + sqr(x61) + sqr(x62) + sqr(x63) + sqr(
       x64) + sqr(x65) + sqr(x66) + sqr(x67) + sqr(x68) + sqr(x69) + sqr(x70)
        + sqr(x71) + sqr(x72) + sqr(x73) + sqr(x74) + sqr(x75) + sqr(x76) + 
       sqr(x77) + sqr(x78) + sqr(x79) + sqr(x80) + sqr(x81) + sqr(x82) + sqr(
       x83) + sqr(x84) + sqr(x85) + sqr(x86) + sqr(x87) + sqr(x88) + sqr(x89)
        + sqr(x90) + sqr(x91) + sqr(x92) + sqr(x93) + sqr(x94) + sqr(x95) + 
       sqr(x96) + sqr(x97) + sqr(x98) + sqr(x99) + sqr(x100) + sqr(x101) + sqr(
       x102) + sqr(x103) + sqr(x104) + sqr(x105) + sqr(x106) + sqr(x107) + sqr(
       x108) + sqr(x109) + sqr(x110) + sqr(x111) + sqr(x112) + sqr(x113) + sqr(
       x114) + sqr(x115) + sqr(x116) + sqr(x117) + sqr(x118) + sqr(x119) + sqr(
       x120) + sqr(x121) + sqr(x122) + sqr(x123) + sqr(x124) + sqr(x125) + sqr(
       x126) + sqr(x127) + sqr(x128) + sqr(x129) + sqr(x130) + sqr(x131) + sqr(
       x132) + sqr(x133) + sqr(x134) + sqr(x135) + sqr(x136) + sqr(x137) + sqr(
       x138) + sqr(x139) + sqr(x140) + sqr(x141) + sqr(x142) + sqr(x143) + sqr(
       x144) + sqr(x145) + sqr(x146) + sqr(x147) + sqr(x148) + sqr(x149) + sqr(
       x150) + sqr(x151) + sqr(x152) + sqr(x153) + sqr(x154) + sqr(x155) + sqr(
       x156) + sqr(x157) + sqr(x158) + sqr(x159) + sqr(x160) + sqr(x161) + sqr(
       x162) + sqr(x163) + sqr(x164) + sqr(x165) + sqr(x166) + sqr(x167) + sqr(
       x168) + sqr(x169) + sqr(x170) + sqr(x171) + sqr(x172) + sqr(x173) + sqr(
       x174) + sqr(x175) + sqr(x176) + sqr(x177) + sqr(x178) + sqr(x179) + sqr(
       x180) + sqr(x181) + sqr(x182) + sqr(x183) + sqr(x184) + sqr(x185) + sqr(
       x186) + sqr(x187) + sqr(x188) + sqr(x189) + sqr(x190) + sqr(x191) + sqr(
       x192) + sqr(x193) + sqr(x194) + sqr(x195) + sqr(x196) + sqr(x197) + sqr(
       x198) + sqr(x199) + sqr(x200) + sqr(x201) + sqr(x202) + sqr(x203) + sqr(
       x204) + sqr(x205) + sqr(x206) + sqr(x207) + sqr(x208) + sqr(x209) + sqr(
       x210) + sqr(x211) + sqr(x212) + sqr(x213) + sqr(x214) + sqr(x215) + sqr(
       x216) + sqr(x217) + sqr(x218) + sqr(x219) + sqr(x220) + sqr(x221) + sqr(
       x222) + sqr(x223) + sqr(x224) + sqr(x225) + sqr(x226) + sqr(x227) + sqr(
       x228) + sqr(x229) + sqr(x230) + sqr(x231) + sqr(x232) + sqr(x233) + sqr(
       x234) + sqr(x235) + sqr(x236) + sqr(x237) + sqr(x238) + sqr(x239) + sqr(
       x240) + sqr(x241) + sqr(x242) + sqr(x243) + sqr(x244) + sqr(x245) + sqr(
       x246) + sqr(x247) + sqr(x248) + sqr(x249) + sqr(x250) + sqr(x251) + sqr(
       x252) + sqr(x253) + sqr(x254) + sqr(x255) + sqr(x256) + sqr(x257) + sqr(
       x258) + sqr(x259) + sqr(x260) + sqr(x261) + sqr(x262) + sqr(x263) + sqr(
       x264) + sqr(x265) + sqr(x266) + sqr(x267) + sqr(x268) + sqr(x269) + sqr(
       x270) + sqr(x271) + sqr(x272) + sqr(x273) + sqr(x274) + sqr(x275) + sqr(
       x276) + sqr(x277) + sqr(x278) + sqr(x279) + sqr(x280) + sqr(x281) + sqr(
       x282) + sqr(x283) + sqr(x284) + sqr(x285) + sqr(x286) + sqr(x287) + sqr(
       x288) + sqr(x289) + sqr(x290) + sqr(x291) + sqr(x292) + sqr(x293) + sqr(
       x294) + sqr(x295) + sqr(x296) + sqr(x297) + sqr(x298) + sqr(x299) + sqr(
       x300) + sqr(x301) + sqr(x302) + sqr(x303) + sqr(x304) + sqr(x305) + sqr(
       x306) + sqr(x307) + sqr(x308) + sqr(x309) + sqr(x310) + sqr(x311) + sqr(
       x312) + sqr(x313) + sqr(x314) + sqr(x315) + sqr(x316) + sqr(x317) + sqr(
       x318) + sqr(x319) + sqr(x320) + sqr(x321) + sqr(x322) + sqr(x323) + sqr(
       x324) + sqr(x325) + sqr(x326) + sqr(x327) + sqr(x328) + sqr(x329) + sqr(
       x330) + sqr(x331) + sqr(x332) + sqr(x333) + sqr(x334) + sqr(x335) + sqr(
       x336) + sqr(x337) + sqr(x338) + sqr(x339) + sqr(x340) + sqr(x341) + sqr(
       x342) + sqr(x343) + sqr(x344) + sqr(x345) + sqr(x346) + sqr(x347) + sqr(
       x348) + sqr(x349) + sqr(x350) + sqr(x351) + sqr(x352) + sqr(x353) + sqr(
       x354) + sqr(x355) + sqr(x356) + sqr(x357) + sqr(x358) + sqr(x359) + sqr(
       x360) + sqr(x361) + sqr(x362) + sqr(x363) + sqr(x364) + sqr(x365) + sqr(
       x366) + sqr(x367) + sqr(x368) + sqr(x369) + sqr(x370) + sqr(x371) + sqr(
       x372) + sqr(x373) + sqr(x374) + sqr(x375) + sqr(x376) + sqr(x377) + sqr(
       x378) + sqr(x379) + sqr(x380) + sqr(x381) + sqr(x382) + sqr(x383) + sqr(
       x384) + sqr(x385) + sqr(x386) + sqr(x387) + sqr(x388) + sqr(x389) + sqr(
       x390) + sqr(x391) + sqr(x392) + sqr(x393) + sqr(x394) + sqr(x395) + sqr(
       x396) + sqr(x397) + sqr(x398) + sqr(x399) + sqr(x400) + sqr(x401) + sqr(
       x402) + sqr(x403) + sqr(x404) + sqr(x405) + sqr(x406) + sqr(x407) + sqr(
       x408) + sqr(x409) + sqr(x410) + sqr(x411) + sqr(x412) + sqr(x413) + sqr(
       x414) + sqr(x415) + sqr(x416) + sqr(x417) + sqr(x418) + sqr(x419) + sqr(
       x420) + sqr(x421) + sqr(x422) + sqr(x423) + sqr(x424) + sqr(x425) + sqr(
       x426) + sqr(x427) + sqr(x428) + sqr(x429) + sqr(x430) + sqr(x431) + sqr(
       x432) + sqr(x433) + sqr(x434) + sqr(x435) + sqr(x436) + sqr(x437) + sqr(
       x438) + sqr(x439) + sqr(x440) + sqr(x441) + sqr(x442) + sqr(x443) + sqr(
       x444) + sqr(x445) + sqr(x446) + sqr(x447) + sqr(x448) + sqr(x449) + sqr(
       x450) + sqr(x451) + sqr(x452) + sqr(x453) + sqr(x454) + sqr(x455) + sqr(
       x456) + sqr(x457) + sqr(x458) + sqr(x459) + sqr(x460) + sqr(x461) + sqr(
       x462) + sqr(x463) + sqr(x464) + sqr(x465) + sqr(x466) + sqr(x467) + sqr(
       x468) + sqr(x469) + sqr(x470) + sqr(x471) + sqr(x472) + sqr(x473) + sqr(
       x474) + sqr(x475) + sqr(x476) + sqr(x477) + sqr(x478) + sqr(x479) + sqr(
       x480) + sqr(x481) + sqr(x482) + sqr(x483) + sqr(x484) + sqr(x485) + sqr(
       x486) + sqr(x487) + sqr(x488) + sqr(x489) + sqr(x490) + sqr(x491) + sqr(
       x492) + sqr(x493) + sqr(x494) + sqr(x495) + sqr(x496) + sqr(x497) + sqr(
       x498) + sqr(x499) + sqr(x500) + sqr(x501) + sqr(x502) + sqr(x503) + sqr(
       x504) + sqr(x505) + sqr(x506) + sqr(x507) + sqr(x508) + sqr(x509) + sqr(
       x510) + sqr(x511) + sqr(x512) + sqr(x513) + sqr(x514) + sqr(x515) + sqr(
       x516) + sqr(x517) + sqr(x518)) + objvar =E= 0;

e514..    100*x1 + 100*x2 + 100*x3 + 1.797*x4 + 5.401*x5 + 0.816*x6 =E= 96.713;

* set non-default levels
x4.l = -137.15890746655;
x5.l = 56.8920792283803;
x6.l = 44.0115647118977;

* set non-default marginals
e514.m = 1;
x1.m = 1;
x2.m = 1;
x3.m = 1;

Model m / all /;

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

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

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


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