QPLIB

A Library of Quadratic Programming Instances

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QPLIB_3192

Formats gms lp mod qplib
Problem type probtype LCQ
Solution point objective value solobjvalue 783.95096810 (gdx, sol)
Solution point infeasibility solinfeasibility 2.9104e-11
Donor donor Ruth Misener
#Variables nvars 479
#Binary Variables nbinvars 0
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 351
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 351
#Nonlinear Binary Variables nnlbinvars 0
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense min
Objective type objtype linear
Objective curvature objcurvature linear
#Negative eigenvalues in objective matrix nobjquadnegev  
#Positive eigenvalues in objective matrix nobjquadposev  
#Nonzeros in Objective nobjnz 64
#Nonlinear Nonzeros in Objective nobjnlnz 0
#Quadratic Terms in Objective nobjquadnz 0
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 177
#Linear Constraints nlincons 32
#Quadratic Constraints nquadcons 145
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature indefinite
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 145
#Nonzeros in Jacobian njacobiannz 3535
#Nonlinear Nonzeros in Jacobian njacobiannlnz 2405
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 2340
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 13
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 27
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 27
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 27.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_3192.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*        178      163       15        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        480      480        0        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       3600     1195     2405        0
*
*  Solve m using QCP minimizing objvar;


Variables  objvar,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;

Positive Variables  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;

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;


e1..  - objvar + 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 =E= 0;

e2..  - x2 - x18 - x34 - x50 + x196 - x197 - x198 - x199 - x200 - x201 - x202
      - x203 - x204 - x205 - x206 - x207 - x208 - x209 - x210 - x211 - x212
      =E= 0;

e3..  - x3 - x19 - x35 - x51 + x213 - x214 - x215 - x216 - x217 - x218 - x219
      - x220 - x221 - x222 - x223 - x224 - x225 - x226 - x227 - x228 - x229
      =E= 0;

e4..  - x4 - x20 - x36 - x52 + x230 - x231 - x232 - x233 - x234 - x235 - x236
      - x237 - x238 - x239 - x240 - x241 - x242 - x243 - x244 - x245 - x246
      =E= 0;

e5..  - x5 - x21 - x37 - x53 + x247 - x248 - x249 - x250 - x251 - x252 - x253
      - x254 - x255 - x256 - x257 - x258 - x259 - x260 - x261 - x262 - x263
      =E= 0;

e6..  - x6 - x22 - x38 - x54 + x264 - x265 - x266 - x267 - x268 - x269 - x270
      - x271 - x272 - x273 - x274 - x275 - x276 - x277 - x278 - x279 - x280
      =E= 0;

e7..  - x7 - x23 - x39 - x55 + x281 - x282 - x283 - x284 - x285 - x286 - x287
      - x288 - x289 - x290 - x291 - x292 - x293 - x294 - x295 - x296 - x297
      =E= 0;

e8..  - x8 - x24 - x40 - x56 + x298 - x299 - x300 - x301 - x302 - x303 - x304
      - x305 - x306 - x307 - x308 - x309 - x310 - x311 - x312 - x313 - x314
      =E= 0;

e9..  - x9 - x25 - x41 - x57 + x315 - x316 - x317 - x318 - x319 - x320 - x321
      - x322 - x323 - x324 - x325 - x326 - x327 - x328 - x329 - x330 - x331
      =E= 0;

e10..  - x10 - x26 - x42 - x58 + x332 - x333 - x334 - x335 - x336 - x337 - x338
       - x339 - x340 - x341 - x342 - x343 - x344 - x345 - x346 - x347 - x348
       =E= 0;

e11..  - x11 - x27 - x43 - x59 + x349 - x350 - x351 - x352 - x353 - x354 - x355
       - x356 - x357 - x358 - x359 - x360 - x361 - x362 - x363 - x364 - x365
       =E= 0;

e12..  - x12 - x28 - x44 - x60 + x366 - x367 - x368 - x369 - x370 - x371 - x372
       - x373 - x374 - x375 - x376 - x377 - x378 - x379 - x380 - x381 - x382
       =E= 0;

e13..  - x13 - x29 - x45 - x61 + x383 - x384 - x385 - x386 - x387 - x388 - x389
       - x390 - x391 - x392 - x393 - x394 - x395 - x396 - x397 - x398 - x399
       =E= 0;

e14..  - x14 - x30 - x46 - x62 + x400 - x401 - x402 - x403 - x404 - x405 - x406
       - x407 - x408 - x409 - x410 - x411 - x412 - x413 - x414 - x415 - x416
       =E= 0;

e15..  - x15 - x31 - x47 - x63 - x417 - x418 - x419 - x420 - x421 - x422 - x423
       - x424 - x425 - x426 - x427 - x428 - x429 - x430 - x431 - x432 =E= -85;

e16..  - x16 - x32 - x48 - x64 - x433 - x434 - x435 - x436 - x437 - x438 - x439
       - x440 - x441 - x442 - x443 - x444 - x445 - x446 - x447 - x448 =E= -100;

e17..  - x17 - x33 - x49 - x65 - x449 - x450 - x451 - x452 - x453 - x454 - x455
       - x456 - x457 - x458 - x459 - x460 - x461 - x462 - x463 - x464 =E= -75;

e18..    x196 - x197 - x214 - x231 - x248 - x265 - x282 - x299 - x316 - x333
       - x350 - x367 - x384 - x401 - x417 - x433 - x449 - x465 =E= 0;

e19..  - x198 + x213 - x215 - x232 - x249 - x266 - x283 - x300 - x317 - x334
       - x351 - x368 - x385 - x402 - x418 - x434 - x450 - x466 =E= 0;

e20..  - x199 - x216 + x230 - x233 - x250 - x267 - x284 - x301 - x318 - x335
       - x352 - x369 - x386 - x403 - x419 - x435 - x451 - x467 =E= 0;

e21..  - x200 - x217 - x234 + x247 - x251 - x268 - x285 - x302 - x319 - x336
       - x353 - x370 - x387 - x404 - x420 - x436 - x452 - x468 =E= 0;

e22..  - x201 - x218 - x235 - x252 + x264 - x269 - x286 - x303 - x320 - x337
       - x354 - x371 - x388 - x405 - x421 - x437 - x453 - x469 =E= 0;

e23..  - x202 - x219 - x236 - x253 - x270 + x281 - x287 - x304 - x321 - x338
       - x355 - x372 - x389 - x406 - x422 - x438 - x454 - x470 =E= 0;

e24..  - x203 - x220 - x237 - x254 - x271 - x288 + x298 - x305 - x322 - x339
       - x356 - x373 - x390 - x407 - x423 - x439 - x455 - x471 =E= 0;

e25..  - x204 - x221 - x238 - x255 - x272 - x289 - x306 + x315 - x323 - x340
       - x357 - x374 - x391 - x408 - x424 - x440 - x456 - x472 =E= 0;

e26..  - x205 - x222 - x239 - x256 - x273 - x290 - x307 - x324 + x332 - x341
       - x358 - x375 - x392 - x409 - x425 - x441 - x457 - x473 =E= 0;

e27..  - x206 - x223 - x240 - x257 - x274 - x291 - x308 - x325 - x342 + x349
       - x359 - x376 - x393 - x410 - x426 - x442 - x458 - x474 =E= 0;

e28..  - x207 - x224 - x241 - x258 - x275 - x292 - x309 - x326 - x343 - x360
       + x366 - x377 - x394 - x411 - x427 - x443 - x459 - x475 =E= 0;

e29..  - x208 - x225 - x242 - x259 - x276 - x293 - x310 - x327 - x344 - x361
       - x378 + x383 - x395 - x412 - x428 - x444 - x460 - x476 =E= 0;

e30..  - x209 - x226 - x243 - x260 - x277 - x294 - x311 - x328 - x345 - x362
       - x379 - x396 + x400 - x413 - x429 - x445 - x461 - x477 =E= 0;

e31..  - x210 - x227 - x244 - x261 - x278 - x295 - x312 - x329 - x346 - x363
       - x380 - x397 - x414 - x430 - x446 - x462 - x478 =E= -45;

e32..  - x211 - x228 - x245 - x262 - x279 - x296 - x313 - x330 - x347 - x364
       - x381 - x398 - x415 - x431 - x447 - x463 - x479 =E= -80;

e33..  - x212 - x229 - x246 - x263 - x280 - x297 - x314 - x331 - x348 - x365
       - x382 - x399 - x416 - x432 - x448 - x464 - x480 =E= -175;

e34.. x196*x66 - x197*x131 - x198*x136 - x199*x141 - x200*x146 - x201*x151 - 
      x202*x156 - x203*x161 - x204*x166 - x205*x171 - x206*x176 - x207*x181 - 
      x208*x186 - x209*x191 - 2*x2 - 7*x18 - 7*x34 - 6*x50 - 625*x210
       - 587*x211 - 644*x212 =E= 0;

e35.. x196*x67 - x197*x132 - x198*x137 - x199*x142 - x200*x147 - x201*x152 - 
      x202*x157 - x203*x162 - x204*x167 - x205*x172 - x206*x177 - x207*x182 - 
      x208*x187 - x209*x192 - 9*x2 - 6*x18 - 9*x34 - 9*x50 - 995*x210
       - 691*x211 - 1003*x212 =E= 0;

e36.. x196*x68 - x197*x133 - x198*x138 - x199*x143 - x200*x148 - x201*x153 - 
      x202*x158 - x203*x163 - x204*x168 - x205*x173 - x206*x178 - x207*x183 - 
      x208*x188 - x209*x193 - 8*x2 - 4*x18 - 7*x34 - 8*x50 - 870*x210
       - 796*x211 - 667*x212 =E= 0;

e37.. x196*x69 - x197*x134 - x198*x139 - x199*x144 - x200*x149 - x201*x154 - 
      x202*x159 - x203*x164 - x204*x169 - x205*x174 - x206*x179 - x207*x184 - 
      x208*x189 - x209*x194 - x2 - 6*x18 - x34 - 724*x210 - 836*x211 - 920*x212
       =E= 0;

e38.. x196*x70 - x197*x135 - x198*x140 - x199*x145 - x200*x150 - x201*x155 - 
      x202*x160 - x203*x165 - x204*x170 - x205*x175 - x206*x180 - x207*x185 - 
      x208*x190 - x209*x195 - 3*x18 - 4*x50 - 834*x210 - 923*x211 - 984*x212
       =E= 0;

e39.. x213*x71 - x214*x131 - x215*x136 - x216*x141 - x217*x146 - x218*x151 - 
      x219*x156 - x220*x161 - x221*x166 - x222*x171 - x223*x176 - x224*x181 - 
      x225*x186 - x226*x191 - 2*x3 - 7*x19 - 7*x35 - 6*x51 - 625*x227
       - 587*x228 - 644*x229 =E= 0;

e40.. x213*x72 - x214*x132 - x215*x137 - x216*x142 - x217*x147 - x218*x152 - 
      x219*x157 - x220*x162 - x221*x167 - x222*x172 - x223*x177 - x224*x182 - 
      x225*x187 - x226*x192 - 9*x3 - 6*x19 - 9*x35 - 9*x51 - 995*x227
       - 691*x228 - 1003*x229 =E= 0;

e41.. x213*x73 - x214*x133 - x215*x138 - x216*x143 - x217*x148 - x218*x153 - 
      x219*x158 - x220*x163 - x221*x168 - x222*x173 - x223*x178 - x224*x183 - 
      x225*x188 - x226*x193 - 8*x3 - 4*x19 - 7*x35 - 8*x51 - 870*x227
       - 796*x228 - 667*x229 =E= 0;

e42.. x213*x74 - x214*x134 - x215*x139 - x216*x144 - x217*x149 - x218*x154 - 
      x219*x159 - x220*x164 - x221*x169 - x222*x174 - x223*x179 - x224*x184 - 
      x225*x189 - x226*x194 - x3 - 6*x19 - x35 - 724*x227 - 836*x228 - 920*x229
       =E= 0;

e43.. x213*x75 - x214*x135 - x215*x140 - x216*x145 - x217*x150 - x218*x155 - 
      x219*x160 - x220*x165 - x221*x170 - x222*x175 - x223*x180 - x224*x185 - 
      x225*x190 - x226*x195 - 3*x19 - 4*x51 - 834*x227 - 923*x228 - 984*x229
       =E= 0;

e44.. x230*x76 - x231*x131 - x232*x136 - x233*x141 - x234*x146 - x235*x151 - 
      x236*x156 - x237*x161 - x238*x166 - x239*x171 - x240*x176 - x241*x181 - 
      x242*x186 - x243*x191 - 2*x4 - 7*x20 - 7*x36 - 6*x52 - 625*x244
       - 587*x245 - 644*x246 =E= 0;

e45.. x230*x77 - x231*x132 - x232*x137 - x233*x142 - x234*x147 - x235*x152 - 
      x236*x157 - x237*x162 - x238*x167 - x239*x172 - x240*x177 - x241*x182 - 
      x242*x187 - x243*x192 - 9*x4 - 6*x20 - 9*x36 - 9*x52 - 995*x244
       - 691*x245 - 1003*x246 =E= 0;

e46.. x230*x78 - x231*x133 - x232*x138 - x233*x143 - x234*x148 - x235*x153 - 
      x236*x158 - x237*x163 - x238*x168 - x239*x173 - x240*x178 - x241*x183 - 
      x242*x188 - x243*x193 - 8*x4 - 4*x20 - 7*x36 - 8*x52 - 870*x244
       - 796*x245 - 667*x246 =E= 0;

e47.. x230*x79 - x231*x134 - x232*x139 - x233*x144 - x234*x149 - x235*x154 - 
      x236*x159 - x237*x164 - x238*x169 - x239*x174 - x240*x179 - x241*x184 - 
      x242*x189 - x243*x194 - x4 - 6*x20 - x36 - 724*x244 - 836*x245 - 920*x246
       =E= 0;

e48.. x230*x80 - x231*x135 - x232*x140 - x233*x145 - x234*x150 - x235*x155 - 
      x236*x160 - x237*x165 - x238*x170 - x239*x175 - x240*x180 - x241*x185 - 
      x242*x190 - x243*x195 - 3*x20 - 4*x52 - 834*x244 - 923*x245 - 984*x246
       =E= 0;

e49.. x247*x81 - x248*x131 - x249*x136 - x250*x141 - x251*x146 - x252*x151 - 
      x253*x156 - x254*x161 - x255*x166 - x256*x171 - x257*x176 - x258*x181 - 
      x259*x186 - x260*x191 - 2*x5 - 7*x21 - 7*x37 - 6*x53 - 625*x261
       - 587*x262 - 644*x263 =E= 0;

e50.. x247*x82 - x248*x132 - x249*x137 - x250*x142 - x251*x147 - x252*x152 - 
      x253*x157 - x254*x162 - x255*x167 - x256*x172 - x257*x177 - x258*x182 - 
      x259*x187 - x260*x192 - 9*x5 - 6*x21 - 9*x37 - 9*x53 - 995*x261
       - 691*x262 - 1003*x263 =E= 0;

e51.. x247*x83 - x248*x133 - x249*x138 - x250*x143 - x251*x148 - x252*x153 - 
      x253*x158 - x254*x163 - x255*x168 - x256*x173 - x257*x178 - x258*x183 - 
      x259*x188 - x260*x193 - 8*x5 - 4*x21 - 7*x37 - 8*x53 - 870*x261
       - 796*x262 - 667*x263 =E= 0;

e52.. x247*x84 - x248*x134 - x249*x139 - x250*x144 - x251*x149 - x252*x154 - 
      x253*x159 - x254*x164 - x255*x169 - x256*x174 - x257*x179 - x258*x184 - 
      x259*x189 - x260*x194 - x5 - 6*x21 - x37 - 724*x261 - 836*x262 - 920*x263
       =E= 0;

e53.. x247*x85 - x248*x135 - x249*x140 - x250*x145 - x251*x150 - x252*x155 - 
      x253*x160 - x254*x165 - x255*x170 - x256*x175 - x257*x180 - x258*x185 - 
      x259*x190 - x260*x195 - 3*x21 - 4*x53 - 834*x261 - 923*x262 - 984*x263
       =E= 0;

e54.. x264*x86 - x265*x131 - x266*x136 - x267*x141 - x268*x146 - x269*x151 - 
      x270*x156 - x271*x161 - x272*x166 - x273*x171 - x274*x176 - x275*x181 - 
      x276*x186 - x277*x191 - 2*x6 - 7*x22 - 7*x38 - 6*x54 - 625*x278
       - 587*x279 - 644*x280 =E= 0;

e55.. x264*x87 - x265*x132 - x266*x137 - x267*x142 - x268*x147 - x269*x152 - 
      x270*x157 - x271*x162 - x272*x167 - x273*x172 - x274*x177 - x275*x182 - 
      x276*x187 - x277*x192 - 9*x6 - 6*x22 - 9*x38 - 9*x54 - 995*x278
       - 691*x279 - 1003*x280 =E= 0;

e56.. x264*x88 - x265*x133 - x266*x138 - x267*x143 - x268*x148 - x269*x153 - 
      x270*x158 - x271*x163 - x272*x168 - x273*x173 - x274*x178 - x275*x183 - 
      x276*x188 - x277*x193 - 8*x6 - 4*x22 - 7*x38 - 8*x54 - 870*x278
       - 796*x279 - 667*x280 =E= 0;

e57.. x264*x89 - x265*x134 - x266*x139 - x267*x144 - x268*x149 - x269*x154 - 
      x270*x159 - x271*x164 - x272*x169 - x273*x174 - x274*x179 - x275*x184 - 
      x276*x189 - x277*x194 - x6 - 6*x22 - x38 - 724*x278 - 836*x279 - 920*x280
       =E= 0;

e58.. x264*x90 - x265*x135 - x266*x140 - x267*x145 - x268*x150 - x269*x155 - 
      x270*x160 - x271*x165 - x272*x170 - x273*x175 - x274*x180 - x275*x185 - 
      x276*x190 - x277*x195 - 3*x22 - 4*x54 - 834*x278 - 923*x279 - 984*x280
       =E= 0;

e59.. x281*x91 - x282*x131 - x283*x136 - x284*x141 - x285*x146 - x286*x151 - 
      x287*x156 - x288*x161 - x289*x166 - x290*x171 - x291*x176 - x292*x181 - 
      x293*x186 - x294*x191 - 2*x7 - 7*x23 - 7*x39 - 6*x55 - 625*x295
       - 587*x296 - 644*x297 =E= 0;

e60.. x281*x92 - x282*x132 - x283*x137 - x284*x142 - x285*x147 - x286*x152 - 
      x287*x157 - x288*x162 - x289*x167 - x290*x172 - x291*x177 - x292*x182 - 
      x293*x187 - x294*x192 - 9*x7 - 6*x23 - 9*x39 - 9*x55 - 995*x295
       - 691*x296 - 1003*x297 =E= 0;

e61.. x281*x93 - x282*x133 - x283*x138 - x284*x143 - x285*x148 - x286*x153 - 
      x287*x158 - x288*x163 - x289*x168 - x290*x173 - x291*x178 - x292*x183 - 
      x293*x188 - x294*x193 - 8*x7 - 4*x23 - 7*x39 - 8*x55 - 870*x295
       - 796*x296 - 667*x297 =E= 0;

e62.. x281*x94 - x282*x134 - x283*x139 - x284*x144 - x285*x149 - x286*x154 - 
      x287*x159 - x288*x164 - x289*x169 - x290*x174 - x291*x179 - x292*x184 - 
      x293*x189 - x294*x194 - x7 - 6*x23 - x39 - 724*x295 - 836*x296 - 920*x297
       =E= 0;

e63.. x281*x95 - x282*x135 - x283*x140 - x284*x145 - x285*x150 - x286*x155 - 
      x287*x160 - x288*x165 - x289*x170 - x290*x175 - x291*x180 - x292*x185 - 
      x293*x190 - x294*x195 - 3*x23 - 4*x55 - 834*x295 - 923*x296 - 984*x297
       =E= 0;

e64.. x298*x96 - x299*x131 - x300*x136 - x301*x141 - x302*x146 - x303*x151 - 
      x304*x156 - x305*x161 - x306*x166 - x307*x171 - x308*x176 - x309*x181 - 
      x310*x186 - x311*x191 - 2*x8 - 7*x24 - 7*x40 - 6*x56 - 625*x312
       - 587*x313 - 644*x314 =E= 0;

e65.. x298*x97 - x299*x132 - x300*x137 - x301*x142 - x302*x147 - x303*x152 - 
      x304*x157 - x305*x162 - x306*x167 - x307*x172 - x308*x177 - x309*x182 - 
      x310*x187 - x311*x192 - 9*x8 - 6*x24 - 9*x40 - 9*x56 - 995*x312
       - 691*x313 - 1003*x314 =E= 0;

e66.. x298*x98 - x299*x133 - x300*x138 - x301*x143 - x302*x148 - x303*x153 - 
      x304*x158 - x305*x163 - x306*x168 - x307*x173 - x308*x178 - x309*x183 - 
      x310*x188 - x311*x193 - 8*x8 - 4*x24 - 7*x40 - 8*x56 - 870*x312
       - 796*x313 - 667*x314 =E= 0;

e67.. x298*x99 - x299*x134 - x300*x139 - x301*x144 - x302*x149 - x303*x154 - 
      x304*x159 - x305*x164 - x306*x169 - x307*x174 - x308*x179 - x309*x184 - 
      x310*x189 - x311*x194 - x8 - 6*x24 - x40 - 724*x312 - 836*x313 - 920*x314
       =E= 0;

e68.. x298*x100 - x299*x135 - x300*x140 - x301*x145 - x302*x150 - x303*x155 - 
      x304*x160 - x305*x165 - x306*x170 - x307*x175 - x308*x180 - x309*x185 - 
      x310*x190 - x311*x195 - 3*x24 - 4*x56 - 834*x312 - 923*x313 - 984*x314
       =E= 0;

e69.. x315*x101 - x316*x131 - x317*x136 - x318*x141 - x319*x146 - x320*x151 - 
      x321*x156 - x322*x161 - x323*x166 - x324*x171 - x325*x176 - x326*x181 - 
      x327*x186 - x328*x191 - 2*x9 - 7*x25 - 7*x41 - 6*x57 - 625*x329
       - 587*x330 - 644*x331 =E= 0;

e70.. x315*x102 - x316*x132 - x317*x137 - x318*x142 - x319*x147 - x320*x152 - 
      x321*x157 - x322*x162 - x323*x167 - x324*x172 - x325*x177 - x326*x182 - 
      x327*x187 - x328*x192 - 9*x9 - 6*x25 - 9*x41 - 9*x57 - 995*x329
       - 691*x330 - 1003*x331 =E= 0;

e71.. x315*x103 - x316*x133 - x317*x138 - x318*x143 - x319*x148 - x320*x153 - 
      x321*x158 - x322*x163 - x323*x168 - x324*x173 - x325*x178 - x326*x183 - 
      x327*x188 - x328*x193 - 8*x9 - 4*x25 - 7*x41 - 8*x57 - 870*x329
       - 796*x330 - 667*x331 =E= 0;

e72.. x315*x104 - x316*x134 - x317*x139 - x318*x144 - x319*x149 - x320*x154 - 
      x321*x159 - x322*x164 - x323*x169 - x324*x174 - x325*x179 - x326*x184 - 
      x327*x189 - x328*x194 - x9 - 6*x25 - x41 - 724*x329 - 836*x330 - 920*x331
       =E= 0;

e73.. x315*x105 - x316*x135 - x317*x140 - x318*x145 - x319*x150 - x320*x155 - 
      x321*x160 - x322*x165 - x323*x170 - x324*x175 - x325*x180 - x326*x185 - 
      x327*x190 - x328*x195 - 3*x25 - 4*x57 - 834*x329 - 923*x330 - 984*x331
       =E= 0;

e74.. x332*x106 - x333*x131 - x334*x136 - x335*x141 - x336*x146 - x337*x151 - 
      x338*x156 - x339*x161 - x340*x166 - x341*x171 - x342*x176 - x343*x181 - 
      x344*x186 - x345*x191 - 2*x10 - 7*x26 - 7*x42 - 6*x58 - 625*x346
       - 587*x347 - 644*x348 =E= 0;

e75.. x332*x107 - x333*x132 - x334*x137 - x335*x142 - x336*x147 - x337*x152 - 
      x338*x157 - x339*x162 - x340*x167 - x341*x172 - x342*x177 - x343*x182 - 
      x344*x187 - x345*x192 - 9*x10 - 6*x26 - 9*x42 - 9*x58 - 995*x346
       - 691*x347 - 1003*x348 =E= 0;

e76.. x332*x108 - x333*x133 - x334*x138 - x335*x143 - x336*x148 - x337*x153 - 
      x338*x158 - x339*x163 - x340*x168 - x341*x173 - x342*x178 - x343*x183 - 
      x344*x188 - x345*x193 - 8*x10 - 4*x26 - 7*x42 - 8*x58 - 870*x346
       - 796*x347 - 667*x348 =E= 0;

e77.. x332*x109 - x333*x134 - x334*x139 - x335*x144 - x336*x149 - x337*x154 - 
      x338*x159 - x339*x164 - x340*x169 - x341*x174 - x342*x179 - x343*x184 - 
      x344*x189 - x345*x194 - x10 - 6*x26 - x42 - 724*x346 - 836*x347
       - 920*x348 =E= 0;

e78.. x332*x110 - x333*x135 - x334*x140 - x335*x145 - x336*x150 - x337*x155 - 
      x338*x160 - x339*x165 - x340*x170 - x341*x175 - x342*x180 - x343*x185 - 
      x344*x190 - x345*x195 - 3*x26 - 4*x58 - 834*x346 - 923*x347 - 984*x348
       =E= 0;

e79.. x349*x111 - x350*x131 - x351*x136 - x352*x141 - x353*x146 - x354*x151 - 
      x355*x156 - x356*x161 - x357*x166 - x358*x171 - x359*x176 - x360*x181 - 
      x361*x186 - x362*x191 - 2*x11 - 7*x27 - 7*x43 - 6*x59 - 625*x363
       - 587*x364 - 644*x365 =E= 0;

e80.. x349*x112 - x350*x132 - x351*x137 - x352*x142 - x353*x147 - x354*x152 - 
      x355*x157 - x356*x162 - x357*x167 - x358*x172 - x359*x177 - x360*x182 - 
      x361*x187 - x362*x192 - 9*x11 - 6*x27 - 9*x43 - 9*x59 - 995*x363
       - 691*x364 - 1003*x365 =E= 0;

e81.. x349*x113 - x350*x133 - x351*x138 - x352*x143 - x353*x148 - x354*x153 - 
      x355*x158 - x356*x163 - x357*x168 - x358*x173 - x359*x178 - x360*x183 - 
      x361*x188 - x362*x193 - 8*x11 - 4*x27 - 7*x43 - 8*x59 - 870*x363
       - 796*x364 - 667*x365 =E= 0;

e82.. x349*x114 - x350*x134 - x351*x139 - x352*x144 - x353*x149 - x354*x154 - 
      x355*x159 - x356*x164 - x357*x169 - x358*x174 - x359*x179 - x360*x184 - 
      x361*x189 - x362*x194 - x11 - 6*x27 - x43 - 724*x363 - 836*x364
       - 920*x365 =E= 0;

e83.. x349*x115 - x350*x135 - x351*x140 - x352*x145 - x353*x150 - x354*x155 - 
      x355*x160 - x356*x165 - x357*x170 - x358*x175 - x359*x180 - x360*x185 - 
      x361*x190 - x362*x195 - 3*x27 - 4*x59 - 834*x363 - 923*x364 - 984*x365
       =E= 0;

e84.. x366*x116 - x367*x131 - x368*x136 - x369*x141 - x370*x146 - x371*x151 - 
      x372*x156 - x373*x161 - x374*x166 - x375*x171 - x376*x176 - x377*x181 - 
      x378*x186 - x379*x191 - 2*x12 - 7*x28 - 7*x44 - 6*x60 - 625*x380
       - 587*x381 - 644*x382 =E= 0;

e85.. x366*x117 - x367*x132 - x368*x137 - x369*x142 - x370*x147 - x371*x152 - 
      x372*x157 - x373*x162 - x374*x167 - x375*x172 - x376*x177 - x377*x182 - 
      x378*x187 - x379*x192 - 9*x12 - 6*x28 - 9*x44 - 9*x60 - 995*x380
       - 691*x381 - 1003*x382 =E= 0;

e86.. x366*x118 - x367*x133 - x368*x138 - x369*x143 - x370*x148 - x371*x153 - 
      x372*x158 - x373*x163 - x374*x168 - x375*x173 - x376*x178 - x377*x183 - 
      x378*x188 - x379*x193 - 8*x12 - 4*x28 - 7*x44 - 8*x60 - 870*x380
       - 796*x381 - 667*x382 =E= 0;

e87.. x366*x119 - x367*x134 - x368*x139 - x369*x144 - x370*x149 - x371*x154 - 
      x372*x159 - x373*x164 - x374*x169 - x375*x174 - x376*x179 - x377*x184 - 
      x378*x189 - x379*x194 - x12 - 6*x28 - x44 - 724*x380 - 836*x381
       - 920*x382 =E= 0;

e88.. x366*x120 - x367*x135 - x368*x140 - x369*x145 - x370*x150 - x371*x155 - 
      x372*x160 - x373*x165 - x374*x170 - x375*x175 - x376*x180 - x377*x185 - 
      x378*x190 - x379*x195 - 3*x28 - 4*x60 - 834*x380 - 923*x381 - 984*x382
       =E= 0;

e89.. x383*x121 - x384*x131 - x385*x136 - x386*x141 - x387*x146 - x388*x151 - 
      x389*x156 - x390*x161 - x391*x166 - x392*x171 - x393*x176 - x394*x181 - 
      x395*x186 - x396*x191 - 2*x13 - 7*x29 - 7*x45 - 6*x61 - 625*x397
       - 587*x398 - 644*x399 =E= 0;

e90.. x383*x122 - x384*x132 - x385*x137 - x386*x142 - x387*x147 - x388*x152 - 
      x389*x157 - x390*x162 - x391*x167 - x392*x172 - x393*x177 - x394*x182 - 
      x395*x187 - x396*x192 - 9*x13 - 6*x29 - 9*x45 - 9*x61 - 995*x397
       - 691*x398 - 1003*x399 =E= 0;

e91.. x383*x123 - x384*x133 - x385*x138 - x386*x143 - x387*x148 - x388*x153 - 
      x389*x158 - x390*x163 - x391*x168 - x392*x173 - x393*x178 - x394*x183 - 
      x395*x188 - x396*x193 - 8*x13 - 4*x29 - 7*x45 - 8*x61 - 870*x397
       - 796*x398 - 667*x399 =E= 0;

e92.. x383*x124 - x384*x134 - x385*x139 - x386*x144 - x387*x149 - x388*x154 - 
      x389*x159 - x390*x164 - x391*x169 - x392*x174 - x393*x179 - x394*x184 - 
      x395*x189 - x396*x194 - x13 - 6*x29 - x45 - 724*x397 - 836*x398
       - 920*x399 =E= 0;

e93.. x383*x125 - x384*x135 - x385*x140 - x386*x145 - x387*x150 - x388*x155 - 
      x389*x160 - x390*x165 - x391*x170 - x392*x175 - x393*x180 - x394*x185 - 
      x395*x190 - x396*x195 - 3*x29 - 4*x61 - 834*x397 - 923*x398 - 984*x399
       =E= 0;

e94.. x400*x126 - x401*x131 - x402*x136 - x403*x141 - x404*x146 - x405*x151 - 
      x406*x156 - x407*x161 - x408*x166 - x409*x171 - x410*x176 - x411*x181 - 
      x412*x186 - x413*x191 - 2*x14 - 7*x30 - 7*x46 - 6*x62 - 625*x414
       - 587*x415 - 644*x416 =E= 0;

e95.. x400*x127 - x401*x132 - x402*x137 - x403*x142 - x404*x147 - x405*x152 - 
      x406*x157 - x407*x162 - x408*x167 - x409*x172 - x410*x177 - x411*x182 - 
      x412*x187 - x413*x192 - 9*x14 - 6*x30 - 9*x46 - 9*x62 - 995*x414
       - 691*x415 - 1003*x416 =E= 0;

e96.. x400*x128 - x401*x133 - x402*x138 - x403*x143 - x404*x148 - x405*x153 - 
      x406*x158 - x407*x163 - x408*x168 - x409*x173 - x410*x178 - x411*x183 - 
      x412*x188 - x413*x193 - 8*x14 - 4*x30 - 7*x46 - 8*x62 - 870*x414
       - 796*x415 - 667*x416 =E= 0;

e97.. x400*x129 - x401*x134 - x402*x139 - x403*x144 - x404*x149 - x405*x154 - 
      x406*x159 - x407*x164 - x408*x169 - x409*x174 - x410*x179 - x411*x184 - 
      x412*x189 - x413*x194 - x14 - 6*x30 - x46 - 724*x414 - 836*x415
       - 920*x416 =E= 0;

e98.. x400*x130 - x401*x135 - x402*x140 - x403*x145 - x404*x150 - x405*x155 - 
      x406*x160 - x407*x165 - x408*x170 - x409*x175 - x410*x180 - x411*x185 - 
      x412*x190 - x413*x195 - 3*x30 - 4*x62 - 834*x414 - 923*x415 - 984*x416
       =E= 0;

e99.. (-x417*x131) - x418*x136 - x419*x141 - x420*x146 - x421*x151 - x422*x156
       - x423*x161 - x424*x166 - x425*x171 - x426*x176 - x427*x181 - x428*x186
       - x429*x191 - 2*x15 - 7*x31 - 7*x47 - 6*x63 - 625*x430 - 587*x431
       - 644*x432 =G= -13090;

e100.. (-x417*x132) - x418*x137 - x419*x142 - x420*x147 - x421*x152 - x422*x157
        - x423*x162 - x424*x167 - x425*x172 - x426*x177 - x427*x182 - x428*x187
        - x429*x192 - 9*x15 - 6*x31 - 9*x47 - 9*x63 - 995*x430 - 691*x431
        - 1003*x432 =G= -75310;

e101.. (-x417*x133) - x418*x138 - x419*x143 - x420*x148 - x421*x153 - x422*x158
        - x423*x163 - x424*x168 - x425*x173 - x426*x178 - x427*x183 - x428*x188
        - x429*x193 - 8*x15 - 4*x31 - 7*x47 - 8*x63 - 870*x430 - 796*x431
        - 667*x432 =G= -64090;

e102.. (-x417*x134) - x418*x139 - x419*x144 - x420*x149 - x421*x154 - x422*x159
        - x423*x164 - x424*x169 - x425*x174 - x426*x179 - x427*x184 - x428*x189
        - x429*x194 - x15 - 6*x31 - x47 - 724*x430 - 836*x431 - 920*x432
        =G= -13345;

e103.. (-x417*x135) - x418*x140 - x419*x145 - x420*x150 - x421*x155 - x422*x160
        - x423*x165 - x424*x170 - x425*x175 - x426*x180 - x427*x185 - x428*x190
        - x429*x195 - 3*x31 - 4*x63 - 834*x430 - 923*x431 - 984*x432 =G= -6715;

e104.. (-x433*x131) - x434*x136 - x435*x141 - x436*x146 - x437*x151 - x438*x156
        - x439*x161 - x440*x166 - x441*x171 - x442*x176 - x443*x181 - x444*x186
        - x445*x191 - 2*x16 - 7*x32 - 7*x48 - 6*x64 - 625*x446 - 587*x447
        - 644*x448 =G= -19400;

e105.. (-x433*x132) - x434*x137 - x435*x142 - x436*x147 - x437*x152 - x438*x157
        - x439*x162 - x440*x167 - x441*x172 - x442*x177 - x443*x182 - x444*x187
        - x445*x192 - 9*x16 - 6*x32 - 9*x48 - 9*x64 - 995*x446 - 691*x447
        - 1003*x448 =G= -36600;

e106.. (-x433*x133) - x434*x138 - x435*x143 - x436*x148 - x437*x153 - x438*x158
        - x439*x163 - x440*x168 - x441*x173 - x442*x178 - x443*x183 - x444*x188
        - x445*x193 - 8*x16 - 4*x32 - 7*x48 - 8*x64 - 870*x446 - 796*x447
        - 667*x448 =G= -55200;

e107.. (-x433*x134) - x434*x139 - x435*x144 - x436*x149 - x437*x154 - x438*x159
        - x439*x164 - x440*x169 - x441*x174 - x442*x179 - x443*x184 - x444*x189
        - x445*x194 - x16 - 6*x32 - x48 - 724*x446 - 836*x447 - 920*x448
        =G= -67200;

e108.. (-x433*x135) - x434*x140 - x435*x145 - x436*x150 - x437*x155 - x438*x160
        - x439*x165 - x440*x170 - x441*x175 - x442*x180 - x443*x185 - x444*x190
        - x445*x195 - 3*x32 - 4*x64 - 834*x446 - 923*x447 - 984*x448 =G= -81700
       ;

e109.. (-x449*x131) - x450*x136 - x451*x141 - x452*x146 - x453*x151 - x454*x156
        - x455*x161 - x456*x166 - x457*x171 - x458*x176 - x459*x181 - x460*x186
        - x461*x191 - 2*x17 - 7*x33 - 7*x49 - 6*x65 - 625*x462 - 587*x463
        - 644*x464 =G= -34200;

e110.. (-x449*x132) - x450*x137 - x451*x142 - x452*x147 - x453*x152 - x454*x157
        - x455*x162 - x456*x167 - x457*x172 - x458*x177 - x459*x182 - x460*x187
        - x461*x192 - 9*x17 - 6*x33 - 9*x49 - 9*x65 - 995*x462 - 691*x463
        - 1003*x464 =G= -69825;

e111.. (-x449*x133) - x450*x138 - x451*x143 - x452*x148 - x453*x153 - x454*x158
        - x455*x163 - x456*x168 - x457*x173 - x458*x178 - x459*x183 - x460*x188
        - x461*x193 - 8*x17 - 4*x33 - 7*x49 - 8*x65 - 870*x462 - 796*x463
        - 667*x464 =G= -10650;

e112.. (-x449*x134) - x450*x139 - x451*x144 - x452*x149 - x453*x154 - x454*x159
        - x455*x164 - x456*x169 - x457*x174 - x458*x179 - x459*x184 - x460*x189
        - x461*x194 - x17 - 6*x33 - x49 - 724*x462 - 836*x463 - 920*x464
        =G= -55800;

e113.. (-x449*x135) - x450*x140 - x451*x145 - x452*x150 - x453*x155 - x454*x160
        - x455*x165 - x456*x170 - x457*x175 - x458*x180 - x459*x185 - x460*x190
        - x461*x195 - 3*x33 - 4*x65 - 834*x462 - 923*x463 - 984*x464 =G= -72675
       ;

e114.. x196*x66 - x196*x131 =E= -92140;

e115.. x196*x67 - x196*x132 =E= -52428;

e116.. x196*x68 - x196*x133 =E= -51476;

e117.. x196*x69 - x196*x134 =E= -42534;

e118.. x196*x70 - x196*x135 =E= -10098;

e119.. x213*x71 - x213*x136 =E= -162874;

e120.. x213*x72 - x213*x137 =E= -740;

e121.. x213*x73 - x213*x138 =E= -67784;

e122.. x213*x74 - x213*x139 =E= -92056;

e123.. x213*x75 - x213*x140 =E= -64602;

e124.. x230*x76 - x230*x141 =E= -11934;

e125.. x230*x77 - x230*x142 =E= -50076;

e126.. x230*x78 - x230*x143 =E= -35282;

e127.. x230*x79 - x230*x144 =E= -11440;

e128.. x230*x80 - x230*x145 =E= -36140;

e129.. x247*x81 - x247*x146 =E= -75810;

e130.. x247*x82 - x247*x147 =E= -97546;

e131.. x247*x83 - x247*x148 =E= -29488;

e132.. x247*x84 - x247*x149 =E= -39368;

e133.. x247*x85 - x247*x150 =E= -77026;

e134.. x264*x86 - x264*x151 =E= -130410;

e135.. x264*x87 - x264*x152 =E= -87010;

e136.. x264*x88 - x264*x153 =E= -44590;

e137.. x264*x89 - x264*x154 =E= -175840;

e138.. x264*x90 - x264*x155 =E= -32900;

e139.. x281*x91 - x281*x156 =E= -103895;

e140.. x281*x92 - x281*x157 =E= -28875;

e141.. x281*x93 - x281*x158 =E= -33440;

e142.. x281*x94 - x281*x159 =E= -119900;

e143.. x281*x95 - x281*x160 =E= -103565;

e144.. x298*x96 - x298*x161 =E= -3850;

e145.. x298*x97 - x298*x162 =E= -53450;

e146.. x298*x98 - x298*x163 =E= -61500;

e147.. x298*x99 - x298*x164 =E= -84300;

e148.. x298*x100 - x298*x165 =E= -69900;

e149.. x315*x101 - x315*x166 =E= -22178;

e150.. x315*x102 - x315*x167 =E= -17082;

e151.. x315*x103 - x315*x168 =E= -44252;

e152.. x315*x104 - x315*x169 =E= -27456;

e153.. x315*x105 - x315*x170 =E= -2184;

e154.. x332*x106 - x332*x171 =E= -14994;

e155.. x332*x107 - x332*x172 =E= -167384;

e156.. x332*x108 - x332*x173 =E= -172186;

e157.. x332*x109 - x332*x174 =E= -142100;

e158.. x332*x110 - x332*x175 =E= -288708;

e159.. x349*x111 - x349*x176 =E= -8550;

e160.. x349*x112 - x349*x177 =E= -69255;

e161.. x349*x113 - x349*x178 =E= -103170;

e162.. x349*x114 - x349*x179 =E= -150480;

e163.. x349*x115 - x349*x180 =E= -125590;

e164.. x366*x116 - x366*x181 =E= -175015;

e165.. x366*x117 - x366*x182 =E= -133195;

e166.. x366*x118 - x366*x183 =E= -83810;

e167.. x366*x119 - x366*x184 =E= -49725;

e168.. x366*x120 - x366*x185 =E= -226015;

e169.. x383*x121 - x383*x186 =E= -72485;

e170.. x383*x122 - x383*x187 =E= -226955;

e171.. x383*x123 - x383*x188 =E= -179930;

e172.. x383*x124 - x383*x189 =E= -218120;

e173.. x383*x125 - x383*x190 =E= -185250;

e174.. x400*x126 - x400*x191 =E= -72200;

e175.. x400*x127 - x400*x192 =E= -109400;

e176.. x400*x128 - x400*x193 =E= -199300;

e177.. x400*x129 - x400*x194 =E= -84600;

e178.. x400*x130 - x400*x195 =E= -110800;

* set non-default bounds
x2.up = 100000;
x3.up = 100000;
x4.up = 100000;
x5.up = 100000;
x6.up = 100000;
x7.up = 100000;
x8.up = 100000;
x9.up = 100000;
x10.up = 100000;
x11.up = 100000;
x12.up = 100000;
x13.up = 100000;
x14.up = 100000;
x15.up = 100000;
x16.up = 100000;
x17.up = 100000;
x18.up = 100000;
x19.up = 100000;
x20.up = 100000;
x21.up = 100000;
x22.up = 100000;
x23.up = 100000;
x24.up = 100000;
x25.up = 100000;
x26.up = 100000;
x27.up = 100000;
x28.up = 100000;
x29.up = 100000;
x30.up = 100000;
x31.up = 100000;
x32.up = 100000;
x33.up = 100000;
x34.up = 100000;
x35.up = 100000;
x36.up = 100000;
x37.up = 100000;
x38.up = 100000;
x39.up = 100000;
x40.up = 100000;
x41.up = 100000;
x42.up = 100000;
x43.up = 100000;
x44.up = 100000;
x45.up = 100000;
x46.up = 100000;
x47.up = 100000;
x48.up = 100000;
x49.up = 100000;
x50.up = 100000;
x51.up = 100000;
x52.up = 100000;
x53.up = 100000;
x54.up = 100000;
x55.up = 100000;
x56.up = 100000;
x57.up = 100000;
x58.up = 100000;
x59.up = 100000;
x60.up = 100000;
x61.up = 100000;
x62.up = 100000;
x63.up = 100000;
x64.up = 100000;
x65.up = 100000;
x66.up = 201;
x67.up = 1116;
x68.up = 1004;
x69.up = 1159;
x70.up = 1447;
x71.up = 633;
x72.up = 941;
x73.up = 288;
x74.up = 1499;
x75.up = 270;
x76.up = 457;
x77.up = 664;
x78.up = 1380;
x79.up = 242;
x80.up = 456;
x81.up = 726;
x82.up = 143;
x83.up = 1232;
x84.up = 1393;
x85.up = 886;
x86.up = 698;
x87.up = 1124;
x88.up = 330;
x89.up = 310;
x90.up = 1486;
x91.up = 745;
x92.up = 64;
x93.up = 1421;
x94.up = 474;
x95.up = 9;
x96.up = 189;
x97.up = 1498;
x98.up = 1196;
x99.up = 944;
x100.up = 397;
x101.up = 190;
x102.up = 871;
x103.up = 114;
x104.up = 1424;
x105.up = 992;
x106.up = 279;
x107.up = 1086;
x108.up = 100;
x109.up = 161;
x110.up = 32;
x111.up = 1455;
x112.up = 673;
x113.up = 655;
x114.up = 985;
x115.up = 492;
x116.up = 663;
x117.up = 329;
x118.up = 934;
x119.up = 902;
x120.up = 341;
x121.up = 167;
x122.up = 168;
x123.up = 521;
x124.up = 628;
x125.up = 666;
x126.up = 166;
x127.up = 1124;
x128.up = 737;
x129.up = 92;
x130.up = 1407;
x131.up = 2911;
x132.up = 2658;
x133.up = 2518;
x134.up = 2410;
x135.up = 1744;
x136.up = 2834;
x137.up = 951;
x138.up = 1204;
x139.up = 2743;
x140.up = 1143;
x141.up = 916;
x142.up = 2590;
x143.up = 2737;
x144.up = 682;
x145.up = 1846;
x146.up = 2721;
x147.up = 2710;
x148.up = 2008;
x149.up = 2429;
x150.up = 2913;
x151.up = 2561;
x152.up = 2367;
x153.up = 967;
x154.up = 2822;
x155.up = 1956;
x156.up = 2634;
x157.up = 589;
x158.up = 2029;
x159.up = 2654;
x160.up = 1892;
x161.up = 266;
x162.up = 2567;
x163.up = 2426;
x164.up = 2630;
x165.up = 1795;
x166.up = 1043;
x167.up = 1528;
x168.up = 1816;
x169.up = 2480;
x170.up = 1076;
x171.up = 432;
x172.up = 2794;
x173.up = 1857;
x174.up = 1611;
x175.up = 2978;
x176.up = 1545;
x177.up = 1402;
x178.up = 1741;
x179.up = 2569;
x180.up = 1814;
x181.up = 2722;
x182.up = 1896;
x183.up = 1920;
x184.up = 1487;
x185.up = 3000;
x186.up = 930;
x187.up = 2557;
x188.up = 2415;
x189.up = 2924;
x190.up = 2616;
x191.up = 888;
x192.up = 2218;
x193.up = 2730;
x194.up = 938;
x195.up = 2515;
x196.up = 34;
x197.up = 100000;
x198.up = 100000;
x199.up = 100000;
x200.up = 100000;
x201.up = 100000;
x202.up = 100000;
x203.up = 100000;
x204.up = 100000;
x205.up = 100000;
x206.up = 100000;
x207.up = 100000;
x208.up = 100000;
x209.up = 100000;
x210.up = 100000;
x211.up = 100000;
x212.up = 100000;
x213.up = 74;
x214.up = 100000;
x215.up = 100000;
x216.up = 100000;
x217.up = 100000;
x218.up = 100000;
x219.up = 100000;
x220.up = 100000;
x221.up = 100000;
x222.up = 100000;
x223.up = 100000;
x224.up = 100000;
x225.up = 100000;
x226.up = 100000;
x227.up = 100000;
x228.up = 100000;
x229.up = 100000;
x230.up = 26;
x231.up = 100000;
x232.up = 100000;
x233.up = 100000;
x234.up = 100000;
x235.up = 100000;
x236.up = 100000;
x237.up = 100000;
x238.up = 100000;
x239.up = 100000;
x240.up = 100000;
x241.up = 100000;
x242.up = 100000;
x243.up = 100000;
x244.up = 100000;
x245.up = 100000;
x246.up = 100000;
x247.up = 38;
x248.up = 100000;
x249.up = 100000;
x250.up = 100000;
x251.up = 100000;
x252.up = 100000;
x253.up = 100000;
x254.up = 100000;
x255.up = 100000;
x256.up = 100000;
x257.up = 100000;
x258.up = 100000;
x259.up = 100000;
x260.up = 100000;
x261.up = 100000;
x262.up = 100000;
x263.up = 100000;
x264.up = 70;
x265.up = 100000;
x266.up = 100000;
x267.up = 100000;
x268.up = 100000;
x269.up = 100000;
x270.up = 100000;
x271.up = 100000;
x272.up = 100000;
x273.up = 100000;
x274.up = 100000;
x275.up = 100000;
x276.up = 100000;
x277.up = 100000;
x278.up = 100000;
x279.up = 100000;
x280.up = 100000;
x281.up = 55;
x282.up = 100000;
x283.up = 100000;
x284.up = 100000;
x285.up = 100000;
x286.up = 100000;
x287.up = 100000;
x288.up = 100000;
x289.up = 100000;
x290.up = 100000;
x291.up = 100000;
x292.up = 100000;
x293.up = 100000;
x294.up = 100000;
x295.up = 100000;
x296.up = 100000;
x297.up = 100000;
x298.up = 50;
x299.up = 100000;
x300.up = 100000;
x301.up = 100000;
x302.up = 100000;
x303.up = 100000;
x304.up = 100000;
x305.up = 100000;
x306.up = 100000;
x307.up = 100000;
x308.up = 100000;
x309.up = 100000;
x310.up = 100000;
x311.up = 100000;
x312.up = 100000;
x313.up = 100000;
x314.up = 100000;
x315.up = 26;
x316.up = 100000;
x317.up = 100000;
x318.up = 100000;
x319.up = 100000;
x320.up = 100000;
x321.up = 100000;
x322.up = 100000;
x323.up = 100000;
x324.up = 100000;
x325.up = 100000;
x326.up = 100000;
x327.up = 100000;
x328.up = 100000;
x329.up = 100000;
x330.up = 100000;
x331.up = 100000;
x332.up = 98;
x333.up = 100000;
x334.up = 100000;
x335.up = 100000;
x336.up = 100000;
x337.up = 100000;
x338.up = 100000;
x339.up = 100000;
x340.up = 100000;
x341.up = 100000;
x342.up = 100000;
x343.up = 100000;
x344.up = 100000;
x345.up = 100000;
x346.up = 100000;
x347.up = 100000;
x348.up = 100000;
x349.up = 95;
x350.up = 100000;
x351.up = 100000;
x352.up = 100000;
x353.up = 100000;
x354.up = 100000;
x355.up = 100000;
x356.up = 100000;
x357.up = 100000;
x358.up = 100000;
x359.up = 100000;
x360.up = 100000;
x361.up = 100000;
x362.up = 100000;
x363.up = 100000;
x364.up = 100000;
x365.up = 100000;
x366.up = 85;
x367.up = 100000;
x368.up = 100000;
x369.up = 100000;
x370.up = 100000;
x371.up = 100000;
x372.up = 100000;
x373.up = 100000;
x374.up = 100000;
x375.up = 100000;
x376.up = 100000;
x377.up = 100000;
x378.up = 100000;
x379.up = 100000;
x380.up = 100000;
x381.up = 100000;
x382.up = 100000;
x383.up = 95;
x384.up = 100000;
x385.up = 100000;
x386.up = 100000;
x387.up = 100000;
x388.up = 100000;
x389.up = 100000;
x390.up = 100000;
x391.up = 100000;
x392.up = 100000;
x393.up = 100000;
x394.up = 100000;
x395.up = 100000;
x396.up = 100000;
x397.up = 100000;
x398.up = 100000;
x399.up = 100000;
x400.up = 100;
x401.up = 100000;
x402.up = 100000;
x403.up = 100000;
x404.up = 100000;
x405.up = 100000;
x406.up = 100000;
x407.up = 100000;
x408.up = 100000;
x409.up = 100000;
x410.up = 100000;
x411.up = 100000;
x412.up = 100000;
x413.up = 100000;
x414.up = 100000;
x415.up = 100000;
x416.up = 100000;
x417.up = 100000;
x418.up = 100000;
x419.up = 100000;
x420.up = 100000;
x421.up = 100000;
x422.up = 100000;
x423.up = 100000;
x424.up = 100000;
x425.up = 100000;
x426.up = 100000;
x427.up = 100000;
x428.up = 100000;
x429.up = 100000;
x430.up = 100000;
x431.up = 100000;
x432.up = 100000;
x433.up = 100000;
x434.up = 100000;
x435.up = 100000;
x436.up = 100000;
x437.up = 100000;
x438.up = 100000;
x439.up = 100000;
x440.up = 100000;
x441.up = 100000;
x442.up = 100000;
x443.up = 100000;
x444.up = 100000;
x445.up = 100000;
x446.up = 100000;
x447.up = 100000;
x448.up = 100000;
x449.up = 100000;
x450.up = 100000;
x451.up = 100000;
x452.up = 100000;
x453.up = 100000;
x454.up = 100000;
x455.up = 100000;
x456.up = 100000;
x457.up = 100000;
x458.up = 100000;
x459.up = 100000;
x460.up = 100000;
x461.up = 100000;
x462.up = 100000;
x463.up = 100000;
x464.up = 100000;
x465.up = 100000;
x466.up = 100000;
x467.up = 100000;
x468.up = 100000;
x469.up = 100000;
x470.up = 100000;
x471.up = 100000;
x472.up = 100000;
x473.up = 100000;
x474.up = 100000;
x475.up = 100000;
x476.up = 100000;
x477.up = 100000;
x478.up = 100000;
x479.up = 100000;
x480.up = 100000;

Model m / all /;

m.limrow=0; m.limcol=0;

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

m.tolproj = 0.0;
$if not set QCP $set QCP QCP
Solve m using %QCP% minimizing objvar;





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