QPLIB

A Library of Quadratic Programming Instances

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QPLIB_3693

Formats gms lp mod qplib
Problem type probtype QBN
Solution point objective value solobjvalue 1148.00000000 (gdx, sol)
Solution point infeasibility solinfeasibility 0.0000e+00
Donor donor Stefan Vigerske
#Variables nvars 1128
#Binary Variables nbinvars 1128
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 1128
#Nonlinear Binary Variables nnlbinvars 1128
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense max
Objective type objtype quadratic
Objective curvature objcurvature indefinite
#Negative eigenvalues in objective matrix nobjquadnegev 552
#Positive eigenvalues in objective matrix nobjquadposev 552
#Nonzeros in Objective nobjnz 1128
#Nonlinear Nonzeros in Objective nobjnlnz 1128
#Quadratic Terms in Objective nobjquadnz 2208
#Square Terms in Objective nobjquaddiagnz 0
#Constraints ncons 0
#Linear Constraints nlincons 0
#Quadratic Constraints nquadcons 0
#Diagonal Quadratic Constraints ndiagquadcons 0
Constraints curvature conscurvature linear
#Convex Nonlinear Constraints nconvexnlcons 0
#Concave Nonlinear Constraints nconcavenlcons 0
#Indefinite Nonlinear Constraints nindefinitenlcons 0
#Nonzeros in Jacobian njacobiannz 0
#Nonlinear Nonzeros in Jacobian njacobiannlnz 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 4416
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 0
#Blocks in Hessian of Lagrangian nlaghessianblocks 1
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 1128
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 1128
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 1128.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_3693.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*          1        1        0        0        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*       1129        1     1128        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       1129        1     1128        0
*
*  Solve m using MIQCP maximizing objvar;


Variables  objvar,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69
          ,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86
          ,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102
          ,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115
          ,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128
          ,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141
          ,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154
          ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167
          ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
          ,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206
          ,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219
          ,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232
          ,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245
          ,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258
          ,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271
          ,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284
          ,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297
          ,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310
          ,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323
          ,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336
          ,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349
          ,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362
          ,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375
          ,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388
          ,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401
          ,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414
          ,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427
          ,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440
          ,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453
          ,b454,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466
          ,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479
          ,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492
          ,b493,b494,b495,b496,b497,b498,b499,b500,b501,b502,b503,b504,b505
          ,b506,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517,b518
          ,b519,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529,b530,b531
          ,b532,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543,b544
          ,b545,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557
          ,b558,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569,b570
          ,b571,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581,b582,b583
          ,b584,b585,b586,b587,b588,b589,b590,b591,b592,b593,b594,b595,b596
          ,b597,b598,b599,b600,b601,b602,b603,b604,b605,b606,b607,b608,b609
          ,b610,b611,b612,b613,b614,b615,b616,b617,b618,b619,b620,b621,b622
          ,b623,b624,b625,b626,b627,b628,b629,b630,b631,b632,b633,b634,b635
          ,b636,b637,b638,b639,b640,b641,b642,b643,b644,b645,b646,b647,b648
          ,b649,b650,b651,b652,b653,b654,b655,b656,b657,b658,b659,b660,b661
          ,b662,b663,b664,b665,b666,b667,b668,b669,b670,b671,b672,b673,b674
          ,b675,b676,b677,b678,b679,b680,b681,b682,b683,b684,b685,b686,b687
          ,b688,b689,b690,b691,b692,b693,b694,b695,b696,b697,b698,b699,b700
          ,b701,b702,b703,b704,b705,b706,b707,b708,b709,b710,b711,b712,b713
          ,b714,b715,b716,b717,b718,b719,b720,b721,b722,b723,b724,b725,b726
          ,b727,b728,b729,b730,b731,b732,b733,b734,b735,b736,b737,b738,b739
          ,b740,b741,b742,b743,b744,b745,b746,b747,b748,b749,b750,b751,b752
          ,b753,b754,b755,b756,b757,b758,b759,b760,b761,b762,b763,b764,b765
          ,b766,b767,b768,b769,b770,b771,b772,b773,b774,b775,b776,b777,b778
          ,b779,b780,b781,b782,b783,b784,b785,b786,b787,b788,b789,b790,b791
          ,b792,b793,b794,b795,b796,b797,b798,b799,b800,b801,b802,b803,b804
          ,b805,b806,b807,b808,b809,b810,b811,b812,b813,b814,b815,b816,b817
          ,b818,b819,b820,b821,b822,b823,b824,b825,b826,b827,b828,b829,b830
          ,b831,b832,b833,b834,b835,b836,b837,b838,b839,b840,b841,b842,b843
          ,b844,b845,b846,b847,b848,b849,b850,b851,b852,b853,b854,b855,b856
          ,b857,b858,b859,b860,b861,b862,b863,b864,b865,b866,b867,b868,b869
          ,b870,b871,b872,b873,b874,b875,b876,b877,b878,b879,b880,b881,b882
          ,b883,b884,b885,b886,b887,b888,b889,b890,b891,b892,b893,b894,b895
          ,b896,b897,b898,b899,b900,b901,b902,b903,b904,b905,b906,b907,b908
          ,b909,b910,b911,b912,b913,b914,b915,b916,b917,b918,b919,b920,b921
          ,b922,b923,b924,b925,b926,b927,b928,b929,b930,b931,b932,b933,b934
          ,b935,b936,b937,b938,b939,b940,b941,b942,b943,b944,b945,b946,b947
          ,b948,b949,b950,b951,b952,b953,b954,b955,b956,b957,b958,b959,b960
          ,b961,b962,b963,b964,b965,b966,b967,b968,b969,b970,b971,b972,b973
          ,b974,b975,b976,b977,b978,b979,b980,b981,b982,b983,b984,b985,b986
          ,b987,b988,b989,b990,b991,b992,b993,b994,b995,b996,b997,b998,b999
          ,b1000,b1001,b1002,b1003,b1004,b1005,b1006,b1007,b1008,b1009,b1010
          ,b1011,b1012,b1013,b1014,b1015,b1016,b1017,b1018,b1019,b1020,b1021
          ,b1022,b1023,b1024,b1025,b1026,b1027,b1028,b1029,b1030,b1031,b1032
          ,b1033,b1034,b1035,b1036,b1037,b1038,b1039,b1040,b1041,b1042,b1043
          ,b1044,b1045,b1046,b1047,b1048,b1049,b1050,b1051,b1052,b1053,b1054
          ,b1055,b1056,b1057,b1058,b1059,b1060,b1061,b1062,b1063,b1064,b1065
          ,b1066,b1067,b1068,b1069,b1070,b1071,b1072,b1073,b1074,b1075,b1076
          ,b1077,b1078,b1079,b1080,b1081,b1082,b1083,b1084,b1085,b1086,b1087
          ,b1088,b1089,b1090,b1091,b1092,b1093,b1094,b1095,b1096,b1097,b1098
          ,b1099,b1100,b1101,b1102,b1103,b1104,b1105,b1106,b1107,b1108,b1109
          ,b1110,b1111,b1112,b1113,b1114,b1115,b1116,b1117,b1118,b1119,b1120
          ,b1121,b1122,b1123,b1124,b1125,b1126,b1127,b1128,b1129;

Binary Variables  b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69
          ,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86
          ,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102
          ,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115
          ,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128
          ,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141
          ,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154
          ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167
          ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
          ,b194,b195,b196,b197,b198,b199,b200,b201,b202,b203,b204,b205,b206
          ,b207,b208,b209,b210,b211,b212,b213,b214,b215,b216,b217,b218,b219
          ,b220,b221,b222,b223,b224,b225,b226,b227,b228,b229,b230,b231,b232
          ,b233,b234,b235,b236,b237,b238,b239,b240,b241,b242,b243,b244,b245
          ,b246,b247,b248,b249,b250,b251,b252,b253,b254,b255,b256,b257,b258
          ,b259,b260,b261,b262,b263,b264,b265,b266,b267,b268,b269,b270,b271
          ,b272,b273,b274,b275,b276,b277,b278,b279,b280,b281,b282,b283,b284
          ,b285,b286,b287,b288,b289,b290,b291,b292,b293,b294,b295,b296,b297
          ,b298,b299,b300,b301,b302,b303,b304,b305,b306,b307,b308,b309,b310
          ,b311,b312,b313,b314,b315,b316,b317,b318,b319,b320,b321,b322,b323
          ,b324,b325,b326,b327,b328,b329,b330,b331,b332,b333,b334,b335,b336
          ,b337,b338,b339,b340,b341,b342,b343,b344,b345,b346,b347,b348,b349
          ,b350,b351,b352,b353,b354,b355,b356,b357,b358,b359,b360,b361,b362
          ,b363,b364,b365,b366,b367,b368,b369,b370,b371,b372,b373,b374,b375
          ,b376,b377,b378,b379,b380,b381,b382,b383,b384,b385,b386,b387,b388
          ,b389,b390,b391,b392,b393,b394,b395,b396,b397,b398,b399,b400,b401
          ,b402,b403,b404,b405,b406,b407,b408,b409,b410,b411,b412,b413,b414
          ,b415,b416,b417,b418,b419,b420,b421,b422,b423,b424,b425,b426,b427
          ,b428,b429,b430,b431,b432,b433,b434,b435,b436,b437,b438,b439,b440
          ,b441,b442,b443,b444,b445,b446,b447,b448,b449,b450,b451,b452,b453
          ,b454,b455,b456,b457,b458,b459,b460,b461,b462,b463,b464,b465,b466
          ,b467,b468,b469,b470,b471,b472,b473,b474,b475,b476,b477,b478,b479
          ,b480,b481,b482,b483,b484,b485,b486,b487,b488,b489,b490,b491,b492
          ,b493,b494,b495,b496,b497,b498,b499,b500,b501,b502,b503,b504,b505
          ,b506,b507,b508,b509,b510,b511,b512,b513,b514,b515,b516,b517,b518
          ,b519,b520,b521,b522,b523,b524,b525,b526,b527,b528,b529,b530,b531
          ,b532,b533,b534,b535,b536,b537,b538,b539,b540,b541,b542,b543,b544
          ,b545,b546,b547,b548,b549,b550,b551,b552,b553,b554,b555,b556,b557
          ,b558,b559,b560,b561,b562,b563,b564,b565,b566,b567,b568,b569,b570
          ,b571,b572,b573,b574,b575,b576,b577,b578,b579,b580,b581,b582,b583
          ,b584,b585,b586,b587,b588,b589,b590,b591,b592,b593,b594,b595,b596
          ,b597,b598,b599,b600,b601,b602,b603,b604,b605,b606,b607,b608,b609
          ,b610,b611,b612,b613,b614,b615,b616,b617,b618,b619,b620,b621,b622
          ,b623,b624,b625,b626,b627,b628,b629,b630,b631,b632,b633,b634,b635
          ,b636,b637,b638,b639,b640,b641,b642,b643,b644,b645,b646,b647,b648
          ,b649,b650,b651,b652,b653,b654,b655,b656,b657,b658,b659,b660,b661
          ,b662,b663,b664,b665,b666,b667,b668,b669,b670,b671,b672,b673,b674
          ,b675,b676,b677,b678,b679,b680,b681,b682,b683,b684,b685,b686,b687
          ,b688,b689,b690,b691,b692,b693,b694,b695,b696,b697,b698,b699,b700
          ,b701,b702,b703,b704,b705,b706,b707,b708,b709,b710,b711,b712,b713
          ,b714,b715,b716,b717,b718,b719,b720,b721,b722,b723,b724,b725,b726
          ,b727,b728,b729,b730,b731,b732,b733,b734,b735,b736,b737,b738,b739
          ,b740,b741,b742,b743,b744,b745,b746,b747,b748,b749,b750,b751,b752
          ,b753,b754,b755,b756,b757,b758,b759,b760,b761,b762,b763,b764,b765
          ,b766,b767,b768,b769,b770,b771,b772,b773,b774,b775,b776,b777,b778
          ,b779,b780,b781,b782,b783,b784,b785,b786,b787,b788,b789,b790,b791
          ,b792,b793,b794,b795,b796,b797,b798,b799,b800,b801,b802,b803,b804
          ,b805,b806,b807,b808,b809,b810,b811,b812,b813,b814,b815,b816,b817
          ,b818,b819,b820,b821,b822,b823,b824,b825,b826,b827,b828,b829,b830
          ,b831,b832,b833,b834,b835,b836,b837,b838,b839,b840,b841,b842,b843
          ,b844,b845,b846,b847,b848,b849,b850,b851,b852,b853,b854,b855,b856
          ,b857,b858,b859,b860,b861,b862,b863,b864,b865,b866,b867,b868,b869
          ,b870,b871,b872,b873,b874,b875,b876,b877,b878,b879,b880,b881,b882
          ,b883,b884,b885,b886,b887,b888,b889,b890,b891,b892,b893,b894,b895
          ,b896,b897,b898,b899,b900,b901,b902,b903,b904,b905,b906,b907,b908
          ,b909,b910,b911,b912,b913,b914,b915,b916,b917,b918,b919,b920,b921
          ,b922,b923,b924,b925,b926,b927,b928,b929,b930,b931,b932,b933,b934
          ,b935,b936,b937,b938,b939,b940,b941,b942,b943,b944,b945,b946,b947
          ,b948,b949,b950,b951,b952,b953,b954,b955,b956,b957,b958,b959,b960
          ,b961,b962,b963,b964,b965,b966,b967,b968,b969,b970,b971,b972,b973
          ,b974,b975,b976,b977,b978,b979,b980,b981,b982,b983,b984,b985,b986
          ,b987,b988,b989,b990,b991,b992,b993,b994,b995,b996,b997,b998,b999
          ,b1000,b1001,b1002,b1003,b1004,b1005,b1006,b1007,b1008,b1009,b1010
          ,b1011,b1012,b1013,b1014,b1015,b1016,b1017,b1018,b1019,b1020,b1021
          ,b1022,b1023,b1024,b1025,b1026,b1027,b1028,b1029,b1030,b1031,b1032
          ,b1033,b1034,b1035,b1036,b1037,b1038,b1039,b1040,b1041,b1042,b1043
          ,b1044,b1045,b1046,b1047,b1048,b1049,b1050,b1051,b1052,b1053,b1054
          ,b1055,b1056,b1057,b1058,b1059,b1060,b1061,b1062,b1063,b1064,b1065
          ,b1066,b1067,b1068,b1069,b1070,b1071,b1072,b1073,b1074,b1075,b1076
          ,b1077,b1078,b1079,b1080,b1081,b1082,b1083,b1084,b1085,b1086,b1087
          ,b1088,b1089,b1090,b1091,b1092,b1093,b1094,b1095,b1096,b1097,b1098
          ,b1099,b1100,b1101,b1102,b1103,b1104,b1105,b1106,b1107,b1108,b1109
          ,b1110,b1111,b1112,b1113,b1114,b1115,b1116,b1117,b1118,b1119,b1120
          ,b1121,b1122,b1123,b1124,b1125,b1126,b1127,b1128,b1129;

Equations  e1;


e1.. 2*b2*b3 - 2*b2*b120 - 2*b2*b504 + 2*b504 + 2*b2*b700 + 2*b700 - 2*b3*b132
      - 2*b3*b520 + 4*b520 + 2*b3*b871 - 2*b871 - 2*b4*b136 - 2*b4*b525 + 4*
     b525 + 2*b4*b526 + 2*b526 + 2*b4*b547 - 2*b547 + 2*b5*b63 - 2*b5*b488 + 2*
     b488 + 2*b5*b891 + 2*b891 - 2*b5*b936 + 4*b936 + 2*b6*b7 + 2*b6*b12 - 2*b6
     *b15 - 2*b6*b476 + 2*b476 + 2*b7*b272 - 2*b7*b461 + 2*b461 - 2*b7*b499 + 2
     *b499 + 2*b8*b506 + 2*b506 - 2*b8*b524 + 2*b524 - 2*b8*b548 + 4*b548 + 2*
     b8*b574 - 2*b574 - 2*b9*b10 + 2*b9*b18 + 2*b9*b938 - 2*b938 - 2*b9*b941 + 
     2*b941 + 2*b10*b26 + 2*b10*b604 - 2*b604 - 2*b10*b674 + 4*b674 + 2*b11*
     b260 + 2*b11*b383 + 2*b383 - 2*b11*b449 + 2*b449 - 2*b11*b477 + 2*b477 - 2
     *b12*b55 - 2*b12*b383 + 2*b12*b734 - 2*b734 - 2*b13*b63 - 2*b13*b384 + 2*
     b384 + 2*b13*b761 - 2*b761 + 2*b13*b995 + 2*b995 - 2*b14*b496 + 2*b496 - 2
     *b14*b586 + 4*b586 + 2*b14*b857 - 2*b857 + 2*b14*b951 - 2*b951 - 2*b15*b66
      + 2*b15*b689 - 2*b689 + 2*b15*b1080 + 2*b1080 - 2*b16*b143 + 2*b16*b500
      - 2*b500 + 2*b16*b621 + 2*b621 - 2*b16*b656 + 4*b656 - 2*b17*b385 + 2*
     b385 - 2*b17*b488 + 2*b17*b803 - 2*b803 + 2*b17*b940 + 2*b940 - 2*b18*b385
      + 2*b18*b806 + 2*b806 - 2*b18*b895 + 4*b895 - 2*b19*b20 - 2*b19*b78 + 2*
     b19*b903 - 2*b903 + 2*b19*b1006 - 2*b1006 + 2*b20*b93 + 2*b20*b94 - 2*b20*
     b768 + 2*b768 - 2*b21*b79 - 2*b21*b383 + 2*b21*b650 - 2*b650 + 2*b21*b1015
      + 2*b1015 - 2*b22*b154 + 2*b22*b478 - 2*b478 + 2*b22*b592 + 2*b592 - 2*
     b22*b695 + 4*b695 + 2*b23*b24 + 2*b23*b187 - 2*b23*b199 - 2*b23*b748 + 2*
     b748 + 2*b24*b146 - 2*b24*b396 + 2*b396 - 2*b24*b403 + 2*b403 + 2*b25*b26
      - 2*b25*b384 + 2*b25*b765 + 2*b765 - 2*b25*b943 + 4*b943 - 2*b26*b1125 + 
     4*b1125 - 2*b26*b1128 + 4*b1128 - 2*b27*b95 - 2*b27*b855 + 2*b855 + 2*b27*
     b954 - 2*b954 + 2*b27*b1069 - 2*b1069 + 2*b28*b464 - 2*b464 + 2*b28*b564
      + 2*b564 - 2*b28*b565 + 2*b565 - 2*b28*b740 + 4*b740 + 2*b29*b479 - 2*
     b479 + 2*b29*b597 + 2*b597 - 2*b29*b825 + 4*b825 - 2*b29*b970 + 4*b970 + 2
     *b30*b31 + 2*b30*b174 - 2*b30*b210 - 2*b30*b703 + 2*b703 + 2*b31*b134 - 2*
     b31*b394 + 2*b394 - 2*b31*b400 + 2*b400 + 2*b32*b230 + 2*b32*b268 - 2*b32*
     b992 + 2*b992 - 2*b32*b1058 - 2*b1058 + 2*b33*b34 - 2*b33*b385 + 2*b33*
     b720 + 2*b720 - 2*b33*b998 + 4*b998 + 2*b34*b1058 - 2*b34*b1059 + 4*b1059
      - 2*b34*b1062 + 4*b1062 + 2*b35*b36 - 2*b35*b108 - 2*b35*b810 + 2*b810 + 
     2*b35*b1009 - 4*b1009 - 2*b36*b46 - 2*b36*b421 + 2*b421 + 2*b36*b1004 - 2*
     b1004 + 2*b37*b54 - 2*b37*b586 - 2*b37*b728 + 2*b728 + 2*b37*b1009 + 2*b38
     *b39 + 2*b38*b451 - 2*b451 - 2*b38*b594 + 2*b594 - 2*b38*b784 + 4*b784 + 2
     *b39*b314 - 2*b39*b539 + 2*b539 - 2*b39*b1025 + 2*b1025 + 2*b40*b130 - 2*
     b40*b480 + 2*b480 + 2*b40*b501 - 2*b501 - 2*b40*b625 + 4*b625 + 2*b41*b42
      - 2*b41*b43 + 2*b41*b159 - 2*b41*b219 - 2*b42*b392 + 2*b392 - 2*b42*b398
      + 2*b398 + 2*b42*b878 + 2*b878 + 2*b43*b186 - 2*b43*b403 + 2*b43*b750 - 2
     *b750 + 2*b44*b45 - 2*b44*b92 + 2*b44*b666 - 2*b666 - 2*b44*b881 + 2*b881
      - 2*b45*b104 - 2*b45*b159 + 2*b45*b160 + 2*b46*b166 - 2*b46*b851 + 2*b851
      + 2*b46*b952 + 2*b952 + 2*b47*b119 - 2*b47*b502 + 2*b502 + 2*b47*b518 - 2
     *b518 - 2*b47*b659 + 4*b659 + 2*b48*b49 - 2*b48*b50 + 2*b48*b147 - 2*b48*
     b923 + 2*b923 - 2*b49*b71 - 2*b49*b396 + 2*b49*b922 + 2*b922 + 2*b50*b198
      - 2*b50*b408 + 2*b408 + 2*b50*b793 - 2*b793 + 2*b51*b52 - 2*b51*b106 + 2*
     b51*b709 - 2*b709 - 2*b51*b837 + 2*b837 - 2*b52*b114 - 2*b52*b147 + 2*b52*
     b983 + 2*b983 + 2*b53*b116 + 2*b53*b387 + 2*b387 - 2*b53*b395 + 4*b395 - 2
     *b53*b1072 + 2*b1072 - 2*b54*b232 - 2*b54*b387 + 2*b54*b815 - 2*b815 + 2*
     b55*b153 - 2*b55*b779 + 4*b779 + 2*b55*b909 + 2*b909 + 2*b56*b112 - 2*b56*
     b519 + 2*b519 + 2*b56*b540 - 2*b540 - 2*b56*b698 + 4*b698 - 2*b57*b570 + 4
     *b570 + 2*b57*b627 - 2*b627 + 2*b57*b976 - 2*b976 - 2*b57*b1103 + 2*b1103
      - 2*b58*b59 + 2*b58*b135 - 2*b58*b879 + 2*b879 + 2*b58*b976 + 2*b59*b209
      - 2*b59*b413 + 2*b413 + 2*b59*b835 - 2*b835 + 2*b60*b61 - 2*b60*b572 + 2*
     b572 + 2*b60*b753 - 4*b753 - 2*b60*b794 + 2*b794 - 2*b61*b121 - 2*b61*b135
      + 2*b61*b1045 + 2*b1045 - 2*b62*b709 + 2*b62*b753 + 2*b62*b797 + 2*b797
      - 2*b62*b842 + 4*b842 - 2*b63*b223 + 2*b63*b509 - 2*b509 + 2*b64*b416 + 2
     *b416 - 2*b64*b770 + 2*b770 - 2*b64*b1002 + 2*b1002 + 2*b64*b1006 + 2*b65*
     b107 + 2*b65*b388 + 2*b388 - 2*b65*b393 + 4*b393 - 2*b65*b1008 + 2*b1008
      + 2*b66*b142 - 2*b66*b820 + 4*b820 + 2*b66*b864 + 2*b864 + 2*b67*b68 + 2*
     b67*b285 - 2*b67*b390 + 2*b390 - 2*b67*b563 + 2*b563 + 2*b68*b141 - 2*b68*
     b142 - 2*b68*b619 + 2*b619 - 2*b69*b540 + 2*b69*b566 - 4*b566 + 2*b69*b964
      + 2*b964 - 2*b69*b1026 + 4*b1026 + 2*b70*b101 - 2*b70*b541 + 4*b541 + 2*
     b70*b566 - 2*b70*b744 + 4*b744 + 2*b71*b72 - 2*b71*b73 + 2*b71*b88 - 2*b72
     *b171 - 2*b72*b700 + 2*b72*b791 + 2*b791 + 2*b73*b287 - 2*b73*b482 + 2*
     b482 + 2*b73*b702 + 2*b702 - 2*b74*b545 + 2*b545 - 2*b74*b751 + 2*b751 + 2
     *b74*b796 - 4*b796 + 2*b74*b1109 - 2*b1109 - 2*b75*b666 + 2*b75*b755 + 2*
     b755 + 2*b75*b796 - 2*b75*b886 + 4*b886 + 2*b76*b420 + 2*b420 - 2*b76*b810
      + 2*b76*b951 - 2*b76*b1065 + 2*b1065 + 2*b77*b94 + 2*b77*b389 + 2*b389 - 
     2*b77*b391 + 4*b391 - 2*b77*b953 + 2*b953 - 2*b78*b389 + 2*b78*b585 + 2*
     b585 + 2*b78*b905 + 2*b905 + 2*b79*b128 + 2*b79*b818 + 2*b818 - 2*b79*b866
      + 4*b866 + 2*b80*b81 + 2*b80*b273 - 2*b80*b397 + 2*b397 - 2*b80*b1024 + 2
     *b1024 - 2*b81*b128 - 2*b81*b590 + 2*b590 + 2*b81*b1085 - 2*b1085 + 2*b82*
     b83 - 2*b82*b518 + 2*b82*b595 - 4*b595 - 2*b82*b1091 + 4*b1091 - 2*b83*
     b273 + 2*b83*b378 - 2*b83*b913 + 2*b913 - 2*b84*b567 + 4*b567 + 2*b84*b595
      + 2*b84*b743 - 2*b743 - 2*b84*b787 + 4*b787 + 2*b85*b207 - 2*b85*b504 + 2
     *b85*b743 - 2*b85*b970 - 2*b86*b156 + 2*b86*b392 - 2*b86*b661 + 4*b661 + 2
     *b86*b833 + 2*b833 + 2*b87*b297 - 2*b87*b392 - 2*b87*b505 + 2*b505 + 2*b87
     *b663 + 2*b663 - 2*b88*b392 + 2*b88*b1041 + 2*b1041 - 2*b88*b1107 + 4*
     b1107 + 2*b89*b90 - 2*b89*b523 + 4*b523 - 2*b89*b707 + 2*b707 + 2*b89*b840
      - 4*b840 + 2*b90*b114 - 2*b90*b401 + 2*b401 - 2*b90*b571 + 2*b571 - 2*b91
     *b92 + 2*b91*b190 + 2*b91*b840 - 2*b91*b930 + 4*b930 + 2*b92*b266 + 2*b92*
     b631 - 2*b631 + 2*b93*b424 + 2*b424 - 2*b93*b427 + 4*b427 - 2*b93*b855 - 2
     *b94*b902 + 2*b902 - 2*b94*b904 + 4*b904 + 2*b95*b204 - 2*b95*b391 + 2*b95
     *b859 + 2*b859 + 2*b96*b97 + 2*b96*b262 - 2*b96*b399 + 2*b399 - 2*b96*
     b1089 + 2*b1089 - 2*b97*b562 + 2*b562 - 2*b97*b910 + 2*b910 + 2*b97*b1020
      - 2*b1020 - 2*b98*b262 + 2*b98*b371 + 2*b98*b451 - 2*b98*b869 + 2*b869 - 
     2*b99*b596 + 4*b596 + 2*b99*b623 - 4*b623 + 2*b99*b786 - 4*b786 - 2*b99*
     b828 + 4*b828 - 2*b100*b101 + 2*b100*b196 - 2*b100*b660 + 2*b660 + 2*b100*
     b786 - 2*b101*b264 + 2*b101*b829 - 2*b829 - 2*b102*b144 + 2*b102*b356 + 2*
     b102*b394 - 2*b102*b626 + 4*b626 + 2*b103*b308 + 2*b103*b315 - 2*b103*b394
      - 2*b103*b521 + 2*b521 + 2*b104*b158 + 2*b104*b483 + 2*b483 - 2*b104*b979
      + 2*b979 - 2*b105*b106 + 2*b105*b176 + 2*b105*b884 - 4*b884 - 2*b105*b987
      + 4*b987 + 2*b106*b278 + 2*b106*b600 - 2*b600 + 2*b107*b855 - 2*b107*b856
      + 2*b856 - 2*b107*b858 + 2*b858 + 2*b108*b214 - 2*b108*b393 + 2*b108*b813
      + 2*b813 + 2*b109*b350 + 2*b109*b390 - 2*b109*b463 + 4*b463 - 2*b109*
     b1019 + 4*b1019 - 2*b110*b252 + 2*b110*b367 + 2*b110*b464 - 2*b110*b824 + 
     2*b824 - 2*b111*b112 + 2*b111*b184 - 2*b111*b226 + 2*b111*b827 - 2*b827 - 
     2*b112*b253 + 2*b112*b871 - 2*b113*b131 + 2*b113*b362 + 2*b113*b396 - 2*
     b113*b598 + 4*b598 + 2*b114*b146 - 2*b114*b922 + 2*b115*b161 - 2*b115*b572
      + 2*b115*b927 - 4*b927 - 2*b115*b1049 + 4*b1049 + 2*b116*b810 - 2*b116*
     b811 + 2*b811 - 2*b116*b812 + 2*b812 + 2*b117*b224 - 2*b117*b395 - 2*b117*
     b421 + 2*b117*b773 + 2*b773 - 2*b118*b119 + 2*b118*b170 - 2*b118*b745 + 2*
     b745 + 2*b118*b870 - 2*b870 - 2*b119*b244 + 2*b119*b336 + 2*b120*b832 - 2*
     b832 + 2*b120*b874 - 2*b874 - 2*b120*b1103 + 2*b121*b134 - 2*b121*b878 + 2
     *b121*b1109 + 2*b122*b149 - 2*b122*b545 + 2*b122*b984 - 2*b984 - 2*b122*
     b1116 + 4*b1116 + 2*b123*b124 - 2*b123*b759 + 2*b759 + 2*b123*b939 + 2*
     b939 - 2*b123*b994 + 4*b994 + 2*b124*b324 - 2*b124*b577 + 4*b577 - 2*b124*
     b758 + 4*b758 + 2*b125*b770 - 2*b125*b771 + 2*b771 - 2*b125*b772 + 2*b772
      + 2*b125*b1073 - 4*b1073 + 2*b126*b127 + 2*b126*b140 - 2*b126*b393 - 2*
     b126*b476 + 2*b127*b1073 - 2*b127*b1074 + 4*b1074 - 2*b127*b1077 + 2*b1077
      - 2*b128*b251 + 2*b128*b868 + 2*b868 - 2*b129*b130 + 2*b129*b155 - 2*b129
     *b789 + 2*b789 + 2*b129*b914 - 2*b914 - 2*b130*b238 + 2*b130*b328 + 2*b131
     *b132 - 2*b131*b133 + 2*b131*b876 - 2*b876 - 2*b132*b155 + 2*b132*b308 - 2
     *b133*b184 + 2*b133*b974 - 2*b974 + 2*b133*b1034 + 2*b1034 - 2*b134*b834
      + 4*b834 - 2*b134*b836 + 2*b836 + 2*b135*b793 - 2*b135*b794 + 2*b136*b177
      - 2*b136*b799 + 4*b799 + 2*b136*b929 - 2*b929 + 2*b137*b138 - 2*b137*b714
      + 2*b714 + 2*b137*b893 + 2*b893 - 2*b137*b1059 + 2*b138*b318 - 2*b138*
     b551 + 4*b551 - 2*b138*b713 + 4*b713 + 2*b139*b497 + 2*b497 + 2*b139*b1009
      - 2*b139*b1010 + 4*b1010 - 2*b139*b1012 + 2*b1012 + 2*b140*b320 - 2*b140*
     b497 - 2*b140*b648 + 2*b648 + 2*b141*b242 - 2*b141*b821 + 2*b821 - 2*b141*
     b865 + 4*b865 - 2*b142*b242 + 2*b142*b822 + 2*b822 + 2*b143*b182 - 2*b143*
     b519 + 2*b143*b696 + 2*b696 - 2*b144*b145 + 2*b144*b919 - 2*b919 + 2*b144*
     b972 - 2*b972 - 2*b145*b196 + 2*b145*b329 + 2*b145*b1037 - 2*b1037 - 2*
     b146*b338 - 2*b146*b792 + 2*b792 - 2*b147*b751 + 2*b147*b835 - 2*b148*b149
      + 2*b148*b162 - 2*b148*b527 + 2*b527 + 2*b148*b986 - 2*b986 - 2*b149*b600
      + 2*b149*b1050 + 2*b1050 + 2*b150*b151 - 2*b150*b672 + 4*b672 + 2*b150*
     b847 + 2*b847 - 2*b150*b1125 + 2*b151*b310 - 2*b151*b529 + 4*b529 - 2*b151
     *b670 + 4*b670 + 2*b152*b397 + 2*b152*b538 + 2*b538 - 2*b152*b819 + 4*b819
      - 2*b152*b867 + 2*b867 - 2*b153*b397 - 2*b153*b538 + 2*b153*b780 + 2*b780
      + 2*b154*b169 - 2*b154*b541 + 2*b154*b657 + 2*b657 - 2*b155*b441 + 2*b441
      + 2*b155*b1035 - 2*b1035 - 2*b156*b157 + 2*b156*b975 - 2*b975 + 2*b156*
     b1035 - 2*b157*b207 + 2*b157*b337 + 2*b157*b1102 - 2*b1102 - 2*b158*b347
      + 2*b158*b748 - 2*b158*b749 + 2*b749 + 2*b159*b218 - 2*b159*b707 - 2*b160
     *b353 + 2*b160*b522 + 2*b522 - 2*b160*b925 + 2*b925 - 2*b161*b409 + 2*b409
      - 2*b161*b631 + 2*b161*b988 + 2*b988 - 2*b162*b409 + 2*b162*b468 + 2*b468
      - 2*b162*b486 + 4*b486 + 2*b163*b300 - 2*b163*b508 + 4*b508 - 2*b163*b634
      + 4*b634 + 2*b163*b803 + 2*b164*b165 + 2*b164*b166 - 2*b164*b852 + 4*b852
      - 2*b164*b1063 + 2*b1063 - 2*b165*b448 + 4*b448 - 2*b166*b405 + 2*b405 - 
     2*b166*b900 + 2*b900 + 2*b167*b399 + 2*b167*b561 + 2*b561 - 2*b167*b778 + 
     4*b778 - 2*b167*b911 + 2*b911 + 2*b168*b322 - 2*b168*b399 - 2*b168*b561 + 
     2*b168*b734 - 2*b169*b565 + 2*b169*b826 + 2*b826 - 2*b169*b1095 + 2*b1095
      - 2*b170*b452 + 2*b452 - 2*b170*b874 + 2*b170*b1100 - 2*b1100 - 2*b171*
     b172 + 2*b171*b1038 - 2*b1038 + 2*b171*b1100 + 2*b172*b345 + 2*b172*b346
      - 2*b172*b660 + 2*b173*b401 + 2*b173*b703 - 2*b173*b704 + 2*b704 - 2*b173
     *b706 + 4*b706 - 2*b174*b665 + 2*b665 - 2*b174*b881 + 2*b174*b921 - 2*b921
      - 2*b175*b358 + 2*b175*b881 - 2*b175*b882 + 2*b882 + 2*b175*b1113 - 2*
     b1113 - 2*b176*b414 + 2*b414 - 2*b176*b667 - 2*b667 + 2*b176*b931 + 2*b931
      - 2*b177*b414 + 2*b177*b454 + 2*b454 - 2*b177*b507 + 4*b507 + 2*b178*b289
      - 2*b178*b487 + 4*b487 - 2*b178*b603 + 4*b603 + 2*b178*b761 + 2*b179*b405
      - 2*b179*b438 + 4*b438 + 2*b180*b402 + 2*b402 + 2*b180*b589 + 2*b589 - 2*
     b180*b735 + 4*b735 - 2*b180*b962 + 2*b962 + 2*b181*b327 - 2*b181*b402 - 2*
     b181*b589 + 2*b181*b689 + 2*b182*b216 - 2*b182*b594 - 2*b182*b1030 + 2*
     b1030 - 2*b183*b216 + 2*b183*b465 + 2*b465 - 2*b183*b520 + 2*b183*b658 - 2
     *b658 + 2*b184*b185 - 2*b184*b465 + 2*b185*b466 + 2*b466 - 2*b185*b700 - 2
     *b185*b916 + 2*b916 - 2*b186*b357 + 2*b186*b1103 - 2*b186*b1105 + 4*b1105
      - 2*b187*b630 + 2*b630 - 2*b187*b837 + 2*b187*b978 - 2*b978 - 2*b188*b364
      + 2*b188*b837 - 2*b188*b838 + 2*b838 + 2*b188*b1046 - 2*b1046 + 2*b189*
     b288 + 2*b189*b417 + 2*b417 - 2*b189*b548 - 2*b189*b1047 + 2*b1047 + 2*
     b190*b359 - 2*b190*b417 - 2*b190*b710 - 2*b710 + 2*b191*b279 - 2*b191*b469
      + 4*b469 - 2*b191*b577 + 2*b191*b716 - 2*b716 + 2*b192*b410 + 2*b410 - 2*
     b192*b432 + 4*b432 + 2*b193*b407 + 2*b407 + 2*b193*b618 + 2*b618 - 2*b193*
     b690 + 4*b690 - 2*b193*b1021 + 2*b1021 + 2*b194*b334 - 2*b194*b407 - 2*
     b194*b618 + 2*b194*b650 - 2*b195*b206 + 2*b195*b481 + 2*b481 - 2*b195*b503
      + 4*b503 + 2*b195*b697 - 2*b697 + 2*b196*b197 - 2*b196*b481 + 2*b197*b482
      - 2*b197*b661 - 2*b197*b873 + 2*b873 - 2*b198*b363 + 2*b198*b1038 - 2*
     b198*b1039 + 4*b1039 - 2*b199*b794 + 2*b199*b1040 - 2*b1040 + 2*b199*b1110
      + 2*b1110 + 2*b200*b422 + 2*b422 - 2*b200*b526 + 2*b200*b600 - 2*b200*
     b985 + 2*b985 - 2*b201*b455 + 2*b455 - 2*b201*b551 + 2*b201*b673 - 2*b673
      + 2*b201*b1124 + 2*b1124 + 2*b202*b236 - 2*b202*b431 + 2*b431 + 2*b202*
     b554 + 2*b554 - 2*b202*b579 + 4*b579 + 2*b203*b415 + 2*b415 - 2*b203*b426
      + 4*b426 - 2*b204*b259 + 2*b204*b319 - 2*b204*b811 - 2*b205*b367 + 2*b205
     *b591 - 2*b591 + 2*b205*b1086 + 2*b1086 - 2*b205*b1087 + 2*b1087 + 2*b206*
     b354 - 2*b206*b744 + 2*b206*b967 - 2*b967 + 2*b207*b208 - 2*b207*b503 + 2*
     b208*b505 - 2*b208*b626 - 2*b208*b830 + 2*b830 - 2*b209*b369 + 2*b209*b975
      - 2*b209*b977 + 4*b977 - 2*b210*b751 + 2*b210*b1043 + 2*b1043 + 2*b210*
     b1106 - 2*b1106 + 2*b211*b425 + 2*b425 - 2*b211*b506 + 2*b211*b631 - 2*
     b211*b928 + 2*b928 + 2*b212*b231 - 2*b212*b437 + 2*b437 + 2*b212*b532 + 2*
     b532 - 2*b212*b606 + 4*b606 + 2*b213*b419 + 2*b419 - 2*b213*b423 + 4*b423
      - 2*b214*b271 + 2*b214*b311 - 2*b214*b771 - 2*b215*b371 + 2*b215*b620 - 2
     *b620 + 2*b215*b1021 - 2*b215*b1022 + 2*b1022 + 2*b216*b361 - 2*b216*b787
      + 2*b217*b521 - 2*b217*b598 + 2*b217*b660 - 2*b217*b789 - 2*b218*b570 + 2
     *b218*b880 + 2*b880 - 2*b218*b1105 + 2*b219*b254 - 2*b219*b707 + 2*b219*
     b981 + 2*b981 + 2*b220*b429 + 2*b429 - 2*b220*b485 + 4*b485 + 2*b220*b667
      - 2*b220*b885 + 2*b885 + 2*b221*b222 + 2*b221*b223 - 2*b221*b430 + 2*b430
      - 2*b221*b444 + 2*b444 - 2*b222*b469 + 2*b222*b601 + 2*b601 - 2*b222*b668
      + 4*b668 - 2*b223*b508 + 2*b223*b604 - 2*b224*b283 + 2*b224*b302 - 2*b224
     *b725 + 2*b725 - 2*b225*b350 - 2*b225*b378 + 2*b225*b655 - 2*b655 + 2*b225
     *b962 + 2*b226*b227 + 2*b226*b228 - 2*b226*b699 + 2*b699 - 2*b227*b372 + 2
     *b227*b1097 - 2*b1097 - 2*b227*b1099 + 2*b1099 + 2*b228*b542 + 2*b542 - 2*
     b228*b568 + 4*b568 - 2*b228*b745 + 2*b229*b435 + 2*b435 - 2*b229*b467 + 4*
     b467 + 2*b229*b710 - 2*b229*b841 + 2*b841 + 2*b230*b455 - 2*b230*b487 - 2*
     b230*b530 + 2*b530 - 2*b231*b457 + 2*b457 + 2*b232*b450 + 2*b450 + 2*b232*
     b729 + 2*b729 - 2*b232*b1014 + 4*b1014 + 2*b233*b595 - 2*b233*b596 - 2*
     b233*b597 + 2*b233*b1032 - 2*b1032 - 2*b234*b379 + 2*b234*b745 + 2*b234*
     b1032 - 2*b234*b1034 - 2*b235*b240 + 2*b235*b442 + 2*b442 - 2*b235*b453 + 
     4*b453 + 2*b235*b754 - 2*b754 - 2*b236*b472 + 2*b472 + 2*b237*b349 - 2*
     b237*b685 + 4*b685 - 2*b237*b773 + 2*b237*b958 + 2*b958 + 2*b238*b566 - 2*
     b238*b567 + 2*b238*b969 - 2*b969 - 2*b239*b329 + 2*b239*b789 + 2*b239*b969
      - 2*b239*b970 + 2*b240*b364 + 2*b240*b796 - 2*b240*b797 + 2*b241*b342 - 2
     *b241*b646 + 4*b646 - 2*b241*b727 + 4*b727 + 2*b241*b1013 + 2*b1013 + 2*
     b242*b517 + 2*b517 - 2*b242*b688 + 4*b688 - 2*b243*b263 + 2*b243*b361 + 2*
     b243*b540 - 2*b243*b785 + 2*b785 + 2*b244*b540 - 2*b244*b541 + 2*b244*b914
      + 2*b245*b323 - 2*b245*b573 + 4*b573 + 2*b245*b709 - 2*b245*b1043 - 2*
     b246*b247 + 2*b246*b248 - 2*b246*b456 + 2*b456 + 2*b246*b509 + 2*b247*b310
      + 2*b247*b530 - 2*b247*b578 + 4*b578 - 2*b248*b470 + 2*b470 + 2*b248*b512
      + 2*b512 - 2*b248*b533 + 4*b533 + 2*b249*b333 - 2*b249*b615 + 2*b615 - 2*
     b249*b685 + 2*b249*b1078 + 2*b1078 + 2*b250*b251 + 2*b250*b440 + 2*b440 - 
     2*b250*b462 + 2*b462 - 2*b250*b538 - 2*b251*b649 + 4*b649 + 2*b251*b1085
      + 2*b252*b539 - 2*b252*b741 + 2*b741 + 2*b252*b782 + 2*b782 + 2*b253*b518
      - 2*b253*b519 + 2*b253*b870 + 2*b254*b749 - 2*b254*b834 - 2*b254*b879 - 2
     *b255*b546 + 4*b546 + 2*b255*b666 + 2*b255*b708 + 2*b708 - 2*b255*b981 + 2
     *b256*b318 - 2*b256*b470 + 2*b256*b552 + 2*b552 - 2*b256*b605 + 4*b605 + 2
     *b257*b341 - 2*b257*b460 + 4*b460 + 2*b258*b259 - 2*b258*b584 + 2*b584 + 2
     *b258*b858 - 2*b258*b904 + 2*b259*b682 - 2*b682 - 2*b259*b950 + 2*b950 + 2
     *b260*b326 - 2*b260*b587 + 2*b587 - 2*b260*b646 + 2*b261*b560 + 2*b560 - 2
     *b261*b617 + 4*b617 - 2*b261*b910 + 2*b261*b1020 - 2*b262*b263 + 2*b262*
     b738 + 2*b738 + 2*b263*b783 - 2*b783 + 2*b263*b965 - 2*b965 + 2*b264*b501
      - 2*b264*b502 + 2*b264*b827 - 2*b265*b352 + 2*b265*b827 - 2*b265*b828 + 2
     *b265*b916 - 2*b266*b523 + 2*b266*b752 + 2*b752 - 2*b266*b925 + 2*b267*
     b279 + 2*b267*b490 + 2*b490 - 2*b267*b510 + 4*b510 - 2*b267*b1124 + 2*b268
     *b324 - 2*b268*b490 - 2*b268*b636 + 4*b636 - 2*b269*b475 + 4*b475 + 2*b269
     *b1064 + 2*b1064 + 2*b270*b271 - 2*b270*b613 + 4*b613 + 2*b270*b812 - 2*
     b270*b955 + 4*b955 + 2*b271*b724 - 2*b724 - 2*b271*b901 + 2*b901 + 2*b272*
     b321 - 2*b272*b559 + 2*b559 - 2*b272*b615 - 2*b273*b274 + 2*b273*b693 + 2*
     b693 + 2*b274*b739 - 2*b739 - 2*b274*b824 + 2*b274*b1027 - 2*b1027 + 2*
     b275*b479 - 2*b275*b480 - 2*b275*b743 + 2*b275*b786 - 2*b276*b355 + 2*b276
     *b786 - 2*b276*b787 + 2*b276*b971 + 2*b971 - 2*b277*b357 + 2*b277*b627 + 2
     *b277*b1100 - 2*b277*b1101 + 4*b1101 - 2*b278*b545 + 2*b278*b795 + 2*b795
      - 2*b278*b882 - 2*b279*b1057 + 4*b1057 - 2*b279*b1059 + 2*b280*b332 - 2*
     b280*b510 + 2*b280*b604 - 2*b280*b676 + 4*b676 - 2*b281*b495 + 4*b495 + 2*
     b281*b1001 + 2*b1001 + 2*b282*b283 - 2*b282*b644 + 2*b644 + 2*b282*b772 - 
     2*b282*b1010 + 2*b283*b769 - 2*b769 - 2*b283*b854 + 2*b854 - 2*b284*b292
      + 2*b284*b313 + 2*b284*b476 - 2*b284*b587 - 2*b285*b286 + 2*b285*b654 + 2
     *b654 - 2*b285*b964 + 2*b286*b694 - 2*b694 - 2*b286*b869 + 2*b286*b1092 - 
     2*b1092 - 2*b287*b363 + 2*b287*b1035 - 2*b287*b1036 + 4*b1036 + 2*b288*
     b572 - 2*b288*b573 - 2*b288*b929 + 2*b289*b489 - 2*b489 - 2*b289*b992 - 2*
     b289*b994 + 2*b290*b340 - 2*b290*b531 + 4*b531 + 2*b290*b635 - 2*b635 - 2*
     b290*b718 + 4*b718 - 2*b291*b515 + 4*b515 + 2*b291*b947 + 2*b947 + 2*b292*
     b293 - 2*b292*b772 + 2*b292*b1076 - 2*b1076 - 2*b293*b726 + 2*b726 - 2*
     b293*b813 + 2*b293*b1071 + 2*b1071 + 2*b294*b334 - 2*b294*b621 - 2*b294*
     b868 + 2*b294*b1024 + 2*b295*b296 + 2*b295*b655 - 2*b295*b913 - 2*b295*
     b1024 + 2*b296*b502 - 2*b296*b593 + 2*b593 - 2*b296*b596 - 2*b297*b369 + 2
     *b297*b972 - 2*b297*b973 + 4*b973 + 2*b298*b545 - 2*b298*b546 - 2*b298*
     b986 + 2*b298*b1115 - 2*b1115 + 2*b299*b989 + 2*b989 + 2*b299*b1115 - 2*
     b299*b1116 - 2*b299*b1119 + 2*b1119 + 2*b300*b509 - 2*b300*b937 + 4*b937
      - 2*b300*b939 - 2*b301*b536 + 4*b536 + 2*b301*b897 + 2*b897 + 2*b302*b559
      - 2*b302*b684 + 2*b684 - 2*b302*b773 + 2*b303*b304 + 2*b303*b647 - 2*b647
      - 2*b303*b688 - 2*b303*b777 + 4*b777 + 2*b304*b1076 - 2*b304*b1077 - 2*
     b304*b1080 + 2*b305*b327 - 2*b305*b592 - 2*b305*b822 + 2*b305*b1089 + 2*
     b306*b307 + 2*b306*b620 - 2*b306*b966 + 2*b966 - 2*b306*b1089 + 2*b307*
     b519 - 2*b307*b567 - 2*b307*b1090 + 2*b1090 - 2*b308*b374 - 2*b308*b917 + 
     4*b917 + 2*b309*b1048 - 2*b1048 - 2*b309*b1049 + 2*b309*b1051 + 2*b1051 - 
     2*b309*b1052 + 2*b1052 - 2*b310*b892 + 4*b892 - 2*b310*b893 + 2*b311*b587
      - 2*b311*b645 + 2*b645 - 2*b311*b727 + 2*b312*b313 + 2*b312*b616 - 2*b616
      - 2*b312*b733 + 4*b733 - 2*b312*b817 + 4*b817 - 2*b313*b1012 - 2*b313*
     b1015 + 2*b314*b322 - 2*b314*b564 - 2*b314*b780 + 2*b315*b316 - 2*b315*
     b543 + 2*b543 - 2*b315*b629 + 2*b629 - 2*b316*b702 - 2*b316*b835 + 2*b316*
     b921 + 2*b317*b986 - 2*b317*b987 - 2*b317*b990 + 2*b990 + 2*b317*b1118 + 2
     *b1118 - 2*b318*b846 + 4*b846 - 2*b318*b847 - 2*b319*b614 + 2*b614 + 2*
     b319*b615 - 2*b319*b685 + 2*b320*b321 - 2*b320*b777 - 2*b320*b863 + 4*b863
      - 2*b321*b957 + 2*b957 - 2*b321*b1079 + 4*b1079 - 2*b322*b736 + 4*b736 - 
     2*b322*b738 + 2*b323*b347 - 2*b323*b880 - 2*b323*b982 - 2*b982 - 2*b324*
     b802 + 4*b802 - 2*b324*b804 + 2*b804 + 2*b325*b584 + 2*b325*b641 + 2*b641
      - 2*b325*b642 + 2*b642 - 2*b325*b644 + 2*b326*b648 - 2*b326*b906 + 2*b906
      - 2*b326*b1014 - 2*b327*b691 + 4*b691 - 2*b327*b693 + 2*b328*b329 - 2*
     b328*b597 - 2*b328*b1034 - 2*b329*b973 + 2*b330*b338 - 2*b330*b836 - 2*
     b330*b1044 - 2*b1044 + 2*b330*b1111 - 2*b1111 + 2*b331*b600 + 2*b331*b1111
      - 2*b331*b1112 + 2*b1112 - 2*b331*b1114 + 2*b1114 + 2*b332*b759 - 2*b332*
     b760 + 4*b760 - 2*b332*b762 + 2*b762 + 2*b333*b687 + 2*b687 - 2*b333*b860
      + 2*b860 - 2*b333*b959 + 4*b959 - 2*b334*b652 + 4*b652 - 2*b334*b654 + 2*
     b335*b624 - 2*b624 + 2*b335*b1092 - 2*b335*b1093 + 2*b1093 - 2*b335*b1096
      + 4*b1096 + 2*b336*b337 - 2*b336*b625 - 2*b336*b1099 - 2*b337*b915 - 2*
     b915 - 2*b337*b917 + 2*b338*b793 - 2*b338*b795 + 2*b339*b631 + 2*b339*
     b1044 - 2*b339*b1045 - 2*b339*b1047 + 2*b340*b714 - 2*b340*b715 + 4*b715
      - 2*b340*b717 + 2*b717 + 2*b341*b642 - 2*b341*b1063 - 2*b341*b1066 + 2*
     b1066 + 2*b342*b732 + 2*b732 - 2*b342*b814 + 2*b814 - 2*b342*b907 + 4*b907
      + 2*b343*b377 - 2*b343*b654 + 2*b343*b910 - 2*b343*b963 - 2*b963 + 2*b344
     *b658 + 2*b344*b1027 - 2*b344*b1028 + 2*b1028 - 2*b344*b1031 + 4*b1031 + 2
     *b345*b871 - 2*b345*b872 - 2*b872 - 2*b345*b875 + 4*b875 + 2*b346*b662 + 2
     *b662 - 2*b346*b699 - 2*b346*b701 + 4*b701 + 2*b347*b750 - 2*b347*b752 + 2
     *b348*b667 + 2*b348*b982 - 2*b348*b983 - 2*b348*b985 - 2*b349*b774 + 2*
     b774 + 2*b349*b776 + 2*b776 - 2*b349*b862 + 4*b862 + 2*b350*b380 - 2*b350*
     b693 + 2*b351*b697 + 2*b351*b965 - 2*b351*b966 - 2*b351*b968 + 4*b968 + 2*
     b352*b699 + 2*b352*b829 - 2*b352*b831 + 4*b831 + 2*b353*b710 + 2*b353*b926
      - 2*b926 - 2*b353*b928 + 2*b354*b912 - 2*b912 - 2*b354*b913 - 2*b354*
     b1030 + 2*b355*b746 + 2*b746 + 2*b355*b788 - 2*b788 - 2*b355*b790 + 4*b790
      + 2*b356*b357 - 2*b356*b749 - 2*b356*b877 + 4*b877 + 2*b357*b1102 + 2*
     b358*b754 + 2*b358*b883 - 2*b883 - 2*b358*b885 + 2*b359*b360 - 2*b359*b755
      - 2*b359*b888 + 2*b888 + 2*b360*b757 + 2*b757 - 2*b360*b844 + 4*b844 - 2*
     b360*b988 - 2*b361*b869 - 2*b361*b1095 + 2*b362*b363 - 2*b362*b792 - 2*
     b362*b920 + 4*b920 + 2*b363*b1037 + 2*b364*b839 - 2*b839 - 2*b364*b841 + 2
     *b365*b366 - 2*b365*b806 - 2*b366*b382 + 2*b366*b1127 + 2*b1127 - 2*b366*
     b1128 + 2*b367*b1088 - 2*b1088 - 2*b367*b1091 + 2*b368*b369 + 2*b368*b832
      - 2*b368*b834 - 2*b368*b977 + 2*b369*b974 - 2*b370*b849 + 2*b849 + 2*b370
     *b1129 - 2*b1129 + 2*b371*b1023 - 2*b1023 - 2*b371*b1026 + 2*b372*b872 + 2
     *b372*b1095 - 2*b372*b1096 + 2*b373*b374 + 2*b373*b876 - 2*b373*b877 - 2*
     b373*b1039 + 2*b374*b918 - 2*b918 - 2*b374*b1104 + 2*b1104 + 2*b375*b376
      - 2*b375*b895 + 2*b376*b996 + 2*b996 - 2*b376*b997 + 4*b997 - 2*b376*b999
      + 2*b999 + 2*b377*b1083 + 2*b1083 - 2*b377*b1084 + 4*b1084 - 2*b377*b1087
      + 2*b378*b963 - 2*b378*b964 + 2*b379*b915 + 2*b379*b1030 - 2*b379*b1031
      + 2*b380*b1018 + 2*b1018 - 2*b380*b1019 - 2*b380*b1022 + 2*b381*b992 + 2*
     b381*b1120 + 2*b1120 - 2*b381*b1121 + 4*b1121 - 2*b381*b1123 + 4*b1123 + 2
     *b382*b1129 - 2*b383*b498 + 2*b498 - 2*b384*b941 + 2*b384*b993 - 2*b993 + 
     2*b385*b1058 - 2*b386*b428 + 2*b386 + 2*b428 - 2*b386*b728 - 2*b386*b954
      + 2*b386*b1073 - 2*b387*b433 + 2*b433 - 2*b387*b903 - 2*b388*b428 - 2*
     b388*b439 + 2*b439 - 2*b388*b857 - 2*b389*b433 - 2*b389*b449 - 2*b390*b412
      + 2*b412 - 2*b390*b539 - 2*b391*b439 - 2*b391*b461 - 2*b393*b449 - 2*b394
     *b976 - 2*b395*b461 - 2*b395*b497 - 2*b396*b543 - 2*b397*b653 + 2*b653 - 2
     *b398*b569 + 2*b569 - 2*b398*b748 + 2*b398*b832 - 2*b399*b692 + 2*b692 - 2
     *b400*b599 + 2*b599 - 2*b400*b703 + 2*b400*b876 - 2*b401*b881 - 2*b401*
     b1041 - 2*b402*b539 - 2*b402*b737 + 2*b737 - 2*b403*b628 + 2*b628 + 2*b403
     *b919 + 2*b404*b750 + 2*b404 - 2*b404*b837 - 2*b404*b1107 - 2*b404*b1109
      - 2*b405*b406 + 2*b406 - 2*b405*b447 + 2*b447 - 2*b406*b410 - 2*b406*b853
      + 2*b853 + 2*b406*b1004 - 2*b407*b562 - 2*b407*b781 + 4*b781 - 2*b408*
     b662 - 2*b408*b748 + 2*b408*b975 - 2*b409*b549 + 2*b549 + 2*b409*b1048 - 2
     *b410*b411 + 2*b411 - 2*b410*b459 + 2*b459 - 2*b411*b415 - 2*b411*b808 + 2
     *b808 + 2*b411*b1067 - 2*b1067 - 2*b412*b463 + 2*b412*b651 + 2*b651 - 2*
     b412*b1086 - 2*b413*b701 - 2*b413*b703 + 2*b413*b1038 - 2*b414*b575 + 2*
     b575 + 2*b414*b1115 - 2*b415*b416 - 2*b415*b474 + 2*b474 - 2*b416*b419 - 2
     *b416*b768 - 2*b417*b527 - 2*b417*b601 - 2*b418*b445 + 2*b418 + 2*b445 - 2
     *b418*b944 + 4*b944 - 2*b419*b420 - 2*b419*b494 + 2*b494 - 2*b420*b423 - 2
     *b420*b723 + 2*b723 - 2*b421*b770 + 2*b421*b1073 - 2*b422*b549 - 2*b422*
     b632 + 4*b632 - 2*b422*b755 - 2*b423*b424 - 2*b423*b514 + 2*b514 - 2*b424*
     b426 - 2*b424*b681 + 2*b681 - 2*b425*b575 - 2*b425*b668 - 2*b425*b797 - 2*
     b426*b427 - 2*b426*b535 + 2*b535 - 2*b427*b432 - 2*b427*b643 + 2*b643 + 2*
     b428*b775 - 2*b775 - 2*b428*b958 - 2*b429*b601 - 2*b429*b711 + 4*b711 - 2*
     b429*b842 - 2*b430*b487 + 2*b430*b575 - 2*b430*b711 - 2*b431*b492 + 2*b492
      - 2*b432*b557 + 2*b557 - 2*b432*b1065 + 2*b433*b730 - 2*b730 - 2*b433*
     b1013 - 2*b434*b504 + 2*b434 - 2*b434*b597 - 2*b434*b830 + 2*b434*b969 - 2
     *b435*b632 - 2*b435*b756 + 4*b756 - 2*b435*b886 - 2*b436*b455 + 2*b436 - 2
     *b436*b508 + 2*b436*b549 - 2*b436*b756 - 2*b437*b512 - 2*b438*b582 + 2*
     b582 - 2*b438*b1002 - 2*b438*b1065 + 2*b439*b686 - 2*b686 - 2*b439*b1078
      - 2*b440*b517 - 2*b440*b731 + 4*b731 - 2*b440*b958 - 2*b441*b625 - 2*b441
     *b873 + 2*b441*b1032 - 2*b442*b668 - 2*b442*b798 + 4*b798 - 2*b442*b930 - 
     2*b443*b469 + 2*b443 + 2*b443*b527 - 2*b443*b529 - 2*b443*b798 - 2*b444*
     b488 - 2*b444*b529 + 2*b444*b635 - 2*b445*b446 + 2*b446 + 2*b445*b511 + 2*
     b511 - 2*b445*b637 + 4*b637 - 2*b446*b533 - 2*b447*b460 - 2*b448*b609 + 2*
     b609 - 2*b448*b948 + 2*b948 - 2*b448*b1002 + 2*b449*b647 - 2*b450*b517 - 2
     *b450*b560 - 2*b450*b1013 - 2*b451*b501 + 2*b451*b623 - 2*b452*b659 - 2*
     b452*b916 + 2*b452*b1097 - 2*b453*b711 - 2*b453*b843 + 4*b843 - 2*b453*
     b987 - 2*b454*b487 - 2*b454*b551 - 2*b454*b843 - 2*b455*b1053 + 4*b1053 - 
     2*b456*b490 + 2*b456*b492 - 2*b456*b555 + 4*b555 - 2*b457*b458 + 2*b458 + 
     2*b457*b491 + 2*b491 - 2*b457*b677 + 4*b677 - 2*b458*b555 - 2*b459*b475 - 
     2*b460*b898 + 2*b898 - 2*b460*b948 + 2*b461*b616 - 2*b462*b588 + 4*b588 + 
     2*b462*b861 - 2*b861 - 2*b462*b1078 - 2*b463*b517 - 2*b463*b588 - 2*b464*
     b479 + 2*b464*b1094 - 2*b1094 - 2*b465*b698 - 2*b465*b971 - 2*b466*b627 - 
     2*b466*b699 - 2*b466*b1103 - 2*b467*b756 - 2*b467*b887 + 4*b887 - 2*b467*
     b1049 - 2*b468*b508 - 2*b468*b577 - 2*b468*b887 - 2*b469*b671 + 4*b671 - 2
     *b470*b471 + 2*b471 + 2*b470*b489 + 2*b471*b472 - 2*b471*b510 - 2*b471*
     b580 + 4*b580 - 2*b472*b473 + 2*b473 - 2*b472*b719 + 4*b719 - 2*b473*b580
      - 2*b474*b495 - 2*b475*b851 - 2*b475*b898 - 2*b476*b516 + 2*b516 - 2*b477
     *b560 - 2*b477*b617 + 2*b477*b815 - 2*b478*b480 + 2*b478*b785 + 2*b478*
     b1029 - 2*b1029 + 2*b479*b1027 + 2*b480*b1092 - 2*b481*b744 - 2*b481*b1033
      + 2*b1033 - 2*b482*b746 - 2*b482*b1038 - 2*b483*b484 + 2*b484 - 2*b483*
     b544 + 2*b544 - 2*b483*b706 - 2*b484*b522 - 2*b484*b572 + 2*b484*b838 - 2*
     b485*b798 - 2*b485*b932 + 4*b932 - 2*b485*b1116 - 2*b486*b529 - 2*b486*
     b603 - 2*b486*b932 + 2*b488*b489 - 2*b489*b531 - 2*b490*b491 - 2*b491*b531
      - 2*b491*b607 + 4*b607 - 2*b492*b493 + 2*b493 - 2*b492*b764 + 4*b764 - 2*
     b493*b607 - 2*b494*b515 - 2*b495*b807 + 2*b807 - 2*b495*b851 - 2*b496*b612
      + 4*b612 + 2*b496*b809 - 2*b809 - 2*b496*b1071 - 2*b497*b498 - 2*b498*
     b537 + 2*b537 + 2*b498*b1076 - 2*b499*b588 - 2*b499*b649 + 2*b499*b775 - 2
     *b500*b502 + 2*b500*b742 + 2*b742 + 2*b500*b967 + 2*b501*b965 - 2*b503*
     b787 - 2*b503*b1098 + 2*b1098 + 2*b504*b972 - 2*b505*b790 - 2*b505*b975 - 
     2*b506*b843 - 2*b506*b989 - 2*b507*b551 - 2*b507*b634 - 2*b507*b989 - 2*
     b509*b553 + 4*b553 - 2*b510*b511 - 2*b511*b553 - 2*b511*b638 + 4*b638 - 2*
     b512*b513 + 2*b513 - 2*b512*b1127 - 2*b513*b638 - 2*b514*b536 - 2*b515*
     b767 + 2*b767 - 2*b515*b807 - 2*b516*b617 - 2*b516*b688 + 2*b516*b730 + 2*
     b518*b912 - 2*b520*b660 - 2*b520*b828 - 2*b521*b831 - 2*b521*b919 - 2*b522
     *b524 - 2*b522*b525 - 2*b523*b525 - 2*b523*b574 - 2*b524*b573 + 2*b524*
     b1048 - 2*b525*b1048 - 2*b526*b887 - 2*b526*b1051 - 2*b527*b528 + 4*b528
      - 2*b528*b577 - 2*b528*b670 - 2*b528*b1051 - 2*b530*b938 - 2*b530*b1123
      - 2*b531*b532 - 2*b532*b578 - 2*b532*b678 + 4*b678 - 2*b533*b534 + 2*b534
      - 2*b533*b1061 + 2*b1061 - 2*b534*b678 - 2*b535*b558 + 4*b558 - 2*b536*
     b722 + 2*b722 - 2*b536*b767 - 2*b537*b649 + 2*b537*b686 - 2*b537*b733 - 2*
     b538*b733 - 2*b541*b823 + 4*b823 - 2*b542*b543 - 2*b542*b875 - 2*b542*b876
      + 2*b543*b918 - 2*b544*b546 - 2*b544*b665 + 2*b544*b884 - 2*b546*b547 + 2
     *b547*b986 + 2*b547*b1113 - 2*b548*b932 - 2*b548*b1118 - 2*b549*b550 + 4*
     b550 - 2*b550*b603 - 2*b550*b713 - 2*b550*b1118 - 2*b552*b671 - 2*b552*
     b993 - 2*b552*b1057 - 2*b553*b554 - 2*b553*b675 + 2*b675 - 2*b554*b605 - 2
     *b554*b720 - 2*b555*b556 + 2*b556 - 2*b555*b996 - 2*b556*b720 - 2*b557*
     b583 + 4*b583 - 2*b558*b680 + 2*b680 - 2*b558*b722 - 2*b558*b850 + 2*b850
      - 2*b559*b812 - 2*b559*b1076 - 2*b560*b561 - 2*b561*b777 - 2*b562*b564 + 
     2*b562*b783 - 2*b563*b741 - 2*b563*b781 + 2*b563*b1090 - 2*b564*b1090 - 2*
     b565*b567 + 2*b565*b622 + 2*b622 + 2*b566*b824 - 2*b568*b569 - 2*b568*b832
      - 2*b568*b917 - 2*b569*b663 + 2*b569*b974 - 2*b570*b663 - 2*b570*b705 + 2
     *b705 - 2*b571*b573 - 2*b571*b630 + 2*b571*b927 + 2*b574*b929 + 2*b574*
     b1046 - 2*b575*b576 + 2*b576 - 2*b576*b634 - 2*b576*b758 + 2*b576*b1119 - 
     2*b578*b579 - 2*b578*b717 - 2*b579*b636 - 2*b579*b765 - 2*b580*b581 + 2*
     b581 - 2*b580*b942 + 4*b942 - 2*b581*b765 - 2*b582*b610 + 4*b610 - 2*b583*
     b641 - 2*b583*b680 - 2*b583*b896 + 2*b896 - 2*b584*b585 - 2*b584*b1005 + 2
     *b1005 - 2*b585*b586 - 2*b585*b856 - 2*b586*b646 - 2*b587*b858 - 2*b588*
     b589 - 2*b589*b817 - 2*b590*b592 + 2*b590*b739 - 2*b590*b1086 - 2*b591*
     b593 + 2*b591*b737 + 2*b591*b1025 - 2*b592*b593 + 2*b593*b594 - 2*b594*
     b596 + 2*b595*b869 - 2*b598*b599 - 2*b598*b973 - 2*b599*b702 + 2*b599*
     b1037 - 2*b601*b602 + 2*b602 - 2*b602*b670 - 2*b602*b801 + 4*b801 + 2*b602
     *b1052 - 2*b603*b759 - 2*b604*b937 - 2*b605*b606 - 2*b605*b762 - 2*b606*
     b676 - 2*b606*b806 - 2*b607*b608 + 2*b608 - 2*b607*b997 - 2*b608*b806 - 2*
     b609*b640 + 4*b640 - 2*b610*b611 + 4*b611 - 2*b610*b641 - 2*b610*b946 + 2*
     b946 - 2*b611*b612 - 2*b611*b640 - 2*b611*b681 - 2*b612*b613 - 2*b612*b852
      - 2*b613*b614 - 2*b613*b1068 + 2*b1068 + 2*b614*b857 - 2*b614*b902 - 2*
     b615*b904 - 2*b616*b687 + 2*b616*b1077 - 2*b617*b618 - 2*b618*b863 - 2*
     b619*b621 + 2*b619*b694 - 2*b619*b1021 - 2*b620*b622 + 2*b620*b692 - 2*
     b621*b622 - 2*b622*b1092 + 2*b623*b624 + 2*b623*b913 - 2*b624*b625 + 2*
     b624*b1097 - 2*b626*b628 - 2*b626*b1036 + 2*b627*b747 + 2*b747 - 2*b628*
     b747 + 2*b628*b1102 - 2*b629*b747 - 2*b629*b793 + 2*b629*b978 - 2*b630*
     b879 + 2*b630*b1044 - 2*b632*b633 + 2*b633 - 2*b632*b1053 - 2*b633*b713 - 
     2*b633*b845 + 4*b845 + 2*b633*b990 - 2*b634*b714 - 2*b635*b892 + 2*b635*
     b1058 - 2*b636*b637 - 2*b636*b804 - 2*b637*b718 - 2*b637*b849 - 2*b638*
     b639 + 2*b639 - 2*b638*b1062 - 2*b639*b849 - 2*b640*b642 - 2*b640*b1000 + 
     2*b1000 - 2*b641*b723 - 2*b642*b643 + 2*b643*b644 - 2*b643*b770 - 2*b644*
     b645 + 2*b645*b903 - 2*b645*b952 - 2*b646*b955 - 2*b647*b732 + 2*b647*
     b1012 - 2*b648*b817 - 2*b648*b908 + 4*b908 - 2*b649*b651 - 2*b650*b652 + 2
     *b650*b1082 + 2*b1082 - 2*b651*b652 - 2*b651*b908 - 2*b652*b1086 + 2*b653*
     b655 - 2*b653*b656 - 2*b653*b962 - 2*b654*b656 - 2*b655*b657 - 2*b656*b657
      - 2*b657*b1027 - 2*b658*b659 + 2*b658*b1094 - 2*b659*b871 - 2*b661*b662
      - 2*b661*b1101 - 2*b662*b791 - 2*b663*b664 + 2*b664 - 2*b664*b750 - 2*
     b664*b791 + 2*b664*b1040 - 2*b665*b923 + 2*b665*b982 + 2*b666*b667 - 2*
     b668*b669 + 2*b669 - 2*b669*b758 - 2*b669*b890 + 4*b890 + 2*b669*b933 + 2*
     b933 - 2*b670*b672 - 2*b671*b674 - 2*b671*b1056 + 4*b1056 - 2*b672*b674 - 
     2*b672*b890 + 2*b673*b675 - 2*b673*b846 + 2*b673*b993 - 2*b674*b675 - 2*
     b675*b763 + 4*b763 - 2*b676*b677 - 2*b676*b847 - 2*b677*b763 - 2*b677*b895
      - 2*b678*b679 + 2*b679 - 2*b678*b1128 - 2*b679*b895 + 2*b680*b682 - 2*
     b680*b768 + 2*b681*b683 + 2*b683 - 2*b681*b810 - 2*b682*b683 + 2*b682*
     b1066 - 2*b683*b684 - 2*b683*b1071 + 2*b684*b954 - 2*b684*b1007 + 2*b1007
      - 2*b685*b1010 - 2*b686*b776 + 2*b686*b957 - 2*b687*b863 - 2*b687*b960 + 
     4*b960 - 2*b688*b690 - 2*b689*b691 + 2*b689*b1017 + 2*b1017 - 2*b690*b691
      - 2*b690*b960 - 2*b691*b1021 - 2*b692*b695 - 2*b692*b911 - 2*b693*b695 - 
     2*b694*b696 + 2*b694*b963 - 2*b695*b696 - 2*b696*b965 - 2*b697*b698 + 2*
     b697*b1029 - 2*b698*b829 - 2*b700*b701 - 2*b701*b833 - 2*b702*b704 - 2*
     b704*b833 + 2*b704*b1106 - 2*b705*b706 + 2*b705*b792 - 2*b705*b923 - 2*
     b706*b708 + 2*b707*b926 - 2*b708*b924 + 2*b924 - 2*b708*b926 + 2*b709*b710
      - 2*b711*b712 + 2*b712 - 2*b712*b801 + 2*b712*b888 - 2*b712*b935 + 4*b935
      - 2*b713*b715 - 2*b714*b845 - 2*b715*b803 - 2*b715*b935 + 2*b716*b717 - 2
     *b716*b802 + 2*b716*b938 - 2*b717*b805 + 4*b805 - 2*b718*b719 - 2*b718*
     b893 - 2*b719*b805 - 2*b719*b943 - 2*b720*b721 + 2*b721 - 2*b721*b943 + 2*
     b722*b724 - 2*b722*b808 + 2*b723*b725 - 2*b723*b855 - 2*b724*b725 + 2*b724
     *b1003 + 2*b1003 - 2*b725*b726 + 2*b726*b1009 - 2*b726*b1070 + 2*b1070 - 2
     *b727*b729 - 2*b727*b1074 - 2*b728*b731 + 2*b728*b861 - 2*b729*b731 - 2*
     b729*b813 - 2*b730*b816 + 4*b816 + 2*b730*b906 - 2*b731*b816 - 2*b732*b908
      - 2*b732*b1016 + 4*b1016 - 2*b733*b735 - 2*b734*b736 + 2*b734*b961 + 2*
     b961 - 2*b735*b736 - 2*b735*b1016 - 2*b736*b962 - 2*b737*b740 - 2*b737*
     b867 - 2*b738*b740 - 2*b738*b1022 - 2*b739*b742 + 2*b739*b1023 - 2*b740*
     b742 - 2*b741*b823 + 2*b741*b912 - 2*b742*b912 + 2*b743*b788 - 2*b744*b788
      - 2*b745*b746 - 2*b746*b1102 - 2*b747*b749 + 2*b751*b883 - 2*b752*b883 - 
     2*b752*b980 + 2*b980 + 2*b753*b754 + 2*b753*b1111 - 2*b754*b755 - 2*b756*
     b757 - 2*b757*b845 - 2*b757*b991 + 4*b991 - 2*b758*b760 - 2*b759*b801 - 2*
     b760*b761 - 2*b760*b991 + 2*b761*b762 - 2*b762*b848 + 4*b848 - 2*b763*b764
      - 2*b763*b939 - 2*b764*b848 - 2*b764*b998 - 2*b765*b766 + 2*b766 - 2*b766
     *b998 + 2*b767*b769 - 2*b767*b853 + 2*b768*b771 - 2*b769*b771 + 2*b769*
     b949 + 2*b949 - 2*b772*b859 - 2*b773*b774 - 2*b774*b859 + 2*b774*b861 + 2*
     b775*b860 - 2*b775*b862 - 2*b776*b960 - 2*b776*b1081 + 4*b1081 - 2*b777*
     b778 - 2*b778*b779 - 2*b778*b1081 - 2*b779*b780 - 2*b779*b911 - 2*b780*
     b782 - 2*b781*b784 - 2*b781*b821 - 2*b782*b784 - 2*b782*b1087 - 2*b783*
     b785 + 2*b783*b1088 - 2*b784*b785 + 2*b788*b1033 - 2*b789*b790 - 2*b790*
     b1037 - 2*b791*b792 + 2*b794*b839 - 2*b795*b839 - 2*b795*b1042 + 2*b1042
      + 2*b796*b1044 - 2*b797*b931 - 2*b798*b800 + 4*b800 - 2*b799*b800 - 2*
     b799*b931 - 2*b799*b1053 - 2*b800*b890 - 2*b800*b1055 + 4*b1055 - 2*b801*
     b802 - 2*b802*b1055 + 2*b803*b804 - 2*b804*b894 + 4*b894 - 2*b805*b994 - 2
     *b805*b1127 + 2*b807*b809 - 2*b807*b900 + 2*b808*b811 - 2*b808*b951 - 2*
     b809*b811 + 2*b809*b899 + 2*b899 - 2*b812*b905 - 2*b813*b814 + 2*b814*b815
      - 2*b814*b905 - 2*b815*b907 - 2*b816*b818 - 2*b816*b1016 - 2*b817*b819 - 
     2*b818*b819 - 2*b818*b907 - 2*b819*b820 - 2*b820*b822 - 2*b820*b867 - 2*
     b821*b866 + 2*b821*b1088 - 2*b822*b1088 - 2*b823*b825 - 2*b823*b1025 - 2*
     b824*b825 - 2*b825*b826 - 2*b826*b828 - 2*b826*b1097 - 2*b827*b1096 + 2*
     b829*b1098 - 2*b830*b831 + 2*b830*b915 - 2*b831*b974 - 2*b833*b834 + 2*
     b835*b836 - 2*b836*b838 - 2*b838*b1108 + 2*b1108 + 2*b839*b984 + 2*b840*
     b841 + 2*b840*b982 - 2*b841*b842 - 2*b842*b988 - 2*b843*b844 - 2*b844*b935
      - 2*b844*b1122 + 4*b1122 - 2*b845*b846 - 2*b846*b1122 - 2*b847*b940 - 2*
     b848*b1059 - 2*b848*b1061 + 2*b849*b941 - 2*b850*b897 + 2*b851*b854 - 2*
     b852*b854 - 2*b852*b897 + 2*b853*b856 - 2*b853*b1006 - 2*b854*b856 + 2*
     b857*b956 + 2*b956 - 2*b858*b956 - 2*b859*b860 - 2*b860*b956 - 2*b861*b959
      - 2*b862*b864 - 2*b862*b1081 - 2*b863*b865 - 2*b864*b865 - 2*b864*b959 - 
     2*b865*b866 - 2*b866*b868 + 2*b867*b1023 - 2*b868*b1023 + 2*b870*b872 - 2*
     b870*b1031 + 2*b872*b873 - 2*b873*b875 + 2*b874*b918 + 2*b874*b1099 - 2*
     b875*b918 - 2*b877*b878 - 2*b877*b1106 - 2*b878*b880 + 2*b879*b882 - 2*
     b880*b882 + 2*b883*b927 + 2*b884*b885 + 2*b884*b926 - 2*b885*b886 - 2*b886
     *b1050 - 2*b887*b889 + 4*b889 - 2*b888*b889 - 2*b888*b1050 - 2*b889*b891
      - 2*b889*b991 - 2*b890*b892 - 2*b891*b892 - 2*b891*b1054 + 4*b1054 - 2*
     b893*b995 - 2*b894*b996 - 2*b894*b1125 - 2*b894*b1127 - 2*b896*b947 - 2*
     b897*b899 + 2*b898*b901 - 2*b898*b1004 - 2*b899*b901 - 2*b899*b947 + 2*
     b900*b902 - 2*b900*b1069 - 2*b901*b902 + 2*b903*b1011 + 2*b1011 - 2*b904*
     b1011 - 2*b905*b906 - 2*b906*b1011 - 2*b907*b909 - 2*b908*b1083 - 2*b909*
     b1014 - 2*b909*b1083 - 2*b910*b1084 + 2*b911*b963 + 2*b914*b915 - 2*b914*
     b968 - 2*b916*b917 + 2*b919*b1104 - 2*b920*b922 - 2*b920*b1040 - 2*b920*
     b1104 + 2*b921*b924 - 2*b921*b1039 - 2*b922*b924 + 2*b923*b925 - 2*b924*
     b925 + 2*b927*b928 - 2*b928*b930 + 2*b929*b1117 + 2*b1117 - 2*b930*b1117
      - 2*b931*b933 - 2*b932*b934 + 4*b934 - 2*b933*b934 - 2*b933*b1117 - 2*
     b934*b936 - 2*b934*b1055 - 2*b935*b937 - 2*b936*b937 - 2*b936*b1121 + 2*
     b938*b1060 + 2*b1060 - 2*b939*b1060 - 2*b940*b942 - 2*b940*b1061 - 2*b941*
     b944 - 2*b942*b944 - 2*b942*b1060 - 2*b943*b945 + 2*b945 - 2*b944*b945 - 2
     *b946*b1001 - 2*b947*b949 + 2*b948*b950 - 2*b948*b1067 - 2*b949*b950 - 2*
     b949*b1001 - 2*b950*b952 + 2*b951*b953 - 2*b952*b953 - 2*b953*b955 + 2*
     b954*b1075 + 2*b1075 - 2*b955*b1075 - 2*b956*b957 - 2*b957*b1075 - 2*b958*
     b1079 - 2*b959*b961 - 2*b960*b1018 - 2*b961*b1018 - 2*b961*b1079 - 2*b964*
     b966 + 2*b966*b1094 - 2*b967*b968 + 2*b967*b1093 - 2*b968*b970 - 2*b969*
     b1030 - 2*b971*b973 - 2*b971*b1100 - 2*b972*b1098 + 2*b976*b979 - 2*b977*
     b978 - 2*b977*b979 + 2*b978*b980 - 2*b979*b980 - 2*b980*b981 - 2*b981*b983
      - 2*b983*b1113 + 2*b984*b985 - 2*b984*b1112 - 2*b985*b987 - 2*b988*b990
      - 2*b989*b1120 - 2*b990*b1120 - 2*b991*b992 + 2*b993*b1126 + 2*b1126 - 2*
     b994*b1126 - 2*b995*b996 - 2*b995*b997 - 2*b997*b1126 - 2*b998*b999 - 2*
     b1000*b1064 - 2*b1001*b1003 + 2*b1002*b1005 - 2*b1003*b1005 - 2*b1003*
     b1064 + 2*b1004*b1007 - 2*b1005*b1007 + 2*b1006*b1008 - 2*b1007*b1008 - 2*
     b1008*b1010 - 2*b1011*b1012 - 2*b1013*b1015 - 2*b1014*b1017 - 2*b1015*
     b1017 - 2*b1016*b1019 - 2*b1017*b1019 - 2*b1018*b1020 + 2*b1020*b1022 - 2*
     b1024*b1026 - 2*b1025*b1028 - 2*b1026*b1028 + 2*b1028*b1029 - 2*b1029*
     b1031 - 2*b1032*b1095 - 2*b1033*b1035 - 2*b1033*b1036 - 2*b1034*b1036 - 2*
     b1039*b1041 + 2*b1040*b1042 - 2*b1041*b1042 - 2*b1042*b1043 - 2*b1043*
     b1045 - 2*b1045*b1046 + 2*b1046*b1047 - 2*b1047*b1049 - 2*b1050*b1052 - 2*
     b1051*b1054 - 2*b1052*b1054 - 2*b1053*b1056 - 2*b1054*b1056 - 2*b1055*
     b1057 - 2*b1056*b1057 - 2*b1060*b1062 + 2*b1061*b1129 - 2*b1062*b1129 - 2*
     b1064*b1066 + 2*b1065*b1068 - 2*b1066*b1068 + 2*b1067*b1069 + 2*b1067*
     b1070 - 2*b1068*b1070 + 2*b1069*b1072 - 2*b1070*b1072 - 2*b1071*b1074 - 2*
     b1072*b1074 - 2*b1075*b1077 - 2*b1078*b1080 - 2*b1079*b1082 - 2*b1080*
     b1082 - 2*b1081*b1084 - 2*b1082*b1084 - 2*b1083*b1085 + 2*b1085*b1087 - 2*
     b1089*b1091 - 2*b1090*b1093 - 2*b1091*b1093 - 2*b1094*b1096 - 2*b1098*
     b1101 - 2*b1099*b1101 - 2*b1104*b1105 - 2*b1105*b1107 + 2*b1106*b1108 - 2*
     b1107*b1108 - 2*b1108*b1110 + 2*b1109*b1112 - 2*b1110*b1111 - 2*b1110*
     b1112 + 2*b1113*b1114 - 2*b1114*b1115 - 2*b1114*b1116 - 2*b1117*b1119 - 2*
     b1118*b1121 - 2*b1119*b1121 - 2*b1120*b1122 - 2*b1122*b1123 - 2*b1123*
     b1124 - 2*b1124*b1125 - 2*b1126*b1128 - objvar =E= 0;

Model m / all /;

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

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

m.tolproj = 0.0;
$if not set MIQCP $set MIQCP MIQCP
Solve m using %MIQCP% maximizing objvar;





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