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QPLIB_10057

Formats gms lp mod qplib
Problem type probtype QBL
Solution point objective value solobjvalue -0.00000000 (gdx, sol)
Solution point infeasibility solinfeasibility 0.0000e+00
Donor donor Andrea Lodi
#Variables nvars 200
#Binary Variables nbinvars 200
#Integer Variables nintvars 0
#Bounded non-binary Variables nboundedvars 0
#Variables with only one bound nsingleboundedvars 0
#Nonlinear Variables nnlvars 194
#Nonlinear Binary Variables nnlbinvars 194
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense min
Objective type objtype quadratic
Objective curvature objcurvature indefinite
#Negative eigenvalues in objective matrix nobjquadnegev 19
#Positive eigenvalues in objective matrix nobjquadposev 174
#Nonzeros in Objective nobjnz 194
#Nonlinear Nonzeros in Objective nobjnlnz 194
#Quadratic Terms in Objective nobjquadnz 15250
#Square Terms in Objective nobjquaddiagnz 194
#Constraints ncons 11
#Linear Constraints nlincons 11
#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 2199
#Nonlinear Nonzeros in Jacobian njacobiannlnz 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 30306
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 194
#Blocks in Hessian of Lagrangian nlaghessianblocks 11
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 1
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 182
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 17.636364
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_10057.gms

$offlisting
*  
*  Equation counts
*      Total        E        G        L        N        X        C        B
*         12        1        0       11        0        0        0        0
*  
*  Variable counts
*                   x        b        i      s1s      s2s       sc       si
*      Total     cont   binary  integer     sos1     sos2    scont     sint
*        201        1      200        0        0        0        0        0
*  FX      0        0        0        0        0        0        0        0
*  
*  Nonzero counts
*      Total    const       NL      DLL
*       2394     2200      194        0
*
*  Solve m using MIQCP minimizing objvar;


Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18,b19
          ,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35,b36
          ,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52,b53
          ,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69,b70
          ,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86,b87
          ,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102,b103
          ,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115,b116
          ,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128,b129
          ,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141,b142
          ,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154,b155
          ,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167,b168
          ,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180,b181
          ,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193,b194
          ,b195,b196,b197,b198,b199,b200,objvar;

Binary Variables  b1,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17
          ,b18,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34
          ,b35,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51
          ,b52,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68
          ,b69,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85
          ,b86,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101
          ,b102,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114
          ,b115,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127
          ,b128,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140
          ,b141,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153
          ,b154,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166
          ,b167,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179
          ,b180,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192
          ,b193,b194,b195,b196,b197,b198,b199,b200;

Equations  e1,e2,e3,e4,e5,e6,e7,e8,e9,e10,e11,e12;


e1.. 2.88280000005*sqr(b1) + 1.98794857065853*sqr(b9) + 1.82840529905671*sqr(
     b25) + 1.96755338386361*sqr(b32) + 1.08431155148868*sqr(b38) + 
     2.015705684011*sqr(b45) + 0.47245809845048*sqr(b53) + 2.90324921142621*
     sqr(b64) + 0.0388066163232999*sqr(b67) + 3.55990029899522*sqr(b69) + 
     1.46229916130132*sqr(b77) + 0.362329572929682*sqr(b91) + 1.48289317335051*
     sqr(b92) + 3.26614997251184*sqr(b97) + 2.72574995367295*sqr(b131) + 
     2.74739931588985*sqr(b134) + 2.11829857839015*sqr(b142) + 3.18170000512141
     *sqr(b163) + 3.48644975279191*sqr(b173) + 1.89344985728852*sqr(b189) + 
     3.15684998091951*sqr(b191) + 3.59185014806892*sqr(b200) + 
     0.269196258288239*sqr(b2) + 3.95695000597227*sqr(b3) + 2.621504503184*sqr(
     b4) + 2.36390071532952*sqr(b5) + 2.30614343291072*sqr(b6) + 
     1.30736049179458*sqr(b7) + 1.3354535904851*sqr(b8) + 0.412686388331378*
     sqr(b10) + 3.05380006904765*sqr(b11) + 1.17069201396993*sqr(b12) + 
     2.95395077882563*sqr(b13) + 1.8340523612835*sqr(b14) + 0.82656395046528*
     sqr(b15) + 3.50600378806823*sqr(b16) + 1.12995457618065*sqr(b17) + 
     1.24655125358205*sqr(b18) + 0.784697159390505*sqr(b19) + 2.65825142068149*
     sqr(b20) + 2.57160057485318*sqr(b21) + 3.5499520626556*sqr(b23) + 
     0.493559876076761*sqr(b24) + 0.13422574951156*sqr(b26) + 2.13150370047158*
     sqr(b27) + 0.168424985724736*sqr(b29) + 3.72034968350316*sqr(b30) + 
     4.17365000524688*sqr(b31) + 2.37204936144341*sqr(b33) + 1.60889182137291*
     sqr(b34) + 0.931249164083195*sqr(b37) + 2.81380248653634*sqr(b39) + 
     0.221959100811726*sqr(b40) + 2.94674984307114*sqr(b41) + 1.62338542323134*
     sqr(b42) + 2.47924729152643*sqr(b43) + 3.88440010480945*sqr(b44) + 
     2.79350182014823*sqr(b46) + 0.530970600385475*sqr(b48) + 3.09754917250983*
     sqr(b49) + 2.12105729242834*sqr(b52) + 0.844097228394235*sqr(b54) + 
     1.51680545026523*sqr(b56) + 0.0178903915799343*sqr(b57) + 2.94974862950292
     *sqr(b59) + 0.315542711661913*sqr(b60) + 2.44285039326732*sqr(b61) + 
     0.0376695199504223*sqr(b62) + 0.270078244206715*sqr(b63) + 
     1.28445570288115*sqr(b65) + 2.72954448959291*sqr(b66) + 2.88839802439786*
     sqr(b68) + 2.95644877679383*sqr(b70) + 2.56299638369981*sqr(b71) + 
     1.69440788582119*sqr(b73) + 3.2720005803966*sqr(b74) + 2.66540526658165*
     sqr(b75) + 3.12410157989377*sqr(b76) + 1.88580593779932*sqr(b78) + 
     2.23955304852789*sqr(b80) + 2.04835235958527*sqr(b81) + 1.2136099351138*
     sqr(b82) + 0.604655017226355*sqr(b83) + 3.14869894047768*sqr(b85) + 
     3.07965174445317*sqr(b86) + 2.78270068705034*sqr(b87) + 2.23916578351872*
     sqr(b88) + 2.93014941598769*sqr(b89) + 1.85881053280668*sqr(b90) + 
     1.25930530145598*sqr(b93) + 2.57350027867063*sqr(b94) + 2.38565125038707*
     sqr(b95) + 2.26150605572355*sqr(b96) + 2.46010812674005*sqr(b101) + 
     0.253607724916312*sqr(b102) + 2.87409892213957*sqr(b103) + 
     1.21772920057743*sqr(b104) + 2.49609999980756*sqr(b105) + 2.62560317332769
     *sqr(b109) + 2.21244622664357*sqr(b110) + 1.99689272233949*sqr(b111) + 
     3.23924891957557*sqr(b112) + 2.32845354835765*sqr(b113) + 3.3339010271151*
     sqr(b114) + 2.33065090864649*sqr(b115) + 2.15090263486502*sqr(b117) + 
     0.977058500334445*sqr(b119) + 0.790691435305825*sqr(b120) + 
     2.96654727581801*sqr(b122) + 0.55433480289802*sqr(b123) + 3.60660052767625
     *sqr(b124) + 3.69329996957935*sqr(b125) + 2.32751108602386*sqr(b126) + 
     2.91860013625708*sqr(b128) + 1.85913522428205*sqr(b129) + 1.46159842244728
     *sqr(b130) + 0.5937189680158*sqr(b132) + 3.17714685399691*sqr(b133) + 
     2.11735020192952*sqr(b136) + 2.81754707066655*sqr(b137) + 1.47583118056171
     *sqr(b138) + 1.7814991755373*sqr(b139) + 2.8778499149414*sqr(b140) + 
     1.67599224136158*sqr(b143) + 2.79839744561597*sqr(b144) + 2.94270030671888
     *sqr(b146) + 1.91859967340622*sqr(b147) + 3.09330084018484*sqr(b148) + 
     3.41685023733214*sqr(b149) + 3.93239982709117*sqr(b150) + 3.11950003134094
     *sqr(b151) + 1.7722971890431*sqr(b152) + 2.11514707154043*sqr(b153) + 
     2.16016287462286*sqr(b154) + 2.43925174345957*sqr(b155) + 2.30240302198983
     *sqr(b157) + 1.65905059170429*sqr(b158) + 3.7830502705491*sqr(b159) + 
     1.96695701731716*sqr(b160) + 1.57104289279916*sqr(b161) + 2.58815769504942
     *sqr(b162) + 1.94560377394175*sqr(b164) + 1.63865109762067*sqr(b165) + 
     2.06609339756178*sqr(b166) + 3.22139867677381*sqr(b167) + 1.54716215925543
     *sqr(b168) + 2.02474461372053*sqr(b169) + 0.398714098301012*sqr(b170) + 
     2.99029625124147*sqr(b171) + 0.614975261198195*sqr(b172) + 0.5694122705653
     *sqr(b174) + 3.4404000686905*sqr(b175) + 3.27564870252642*sqr(b176) + 
     2.78419214293696*sqr(b178) + 2.85699965797797*sqr(b179) + 2.21274666544373
     *sqr(b182) + 2.78190093692594*sqr(b183) + 1.86715071795678*sqr(b184) + 
     0.9286629963176*sqr(b185) + 2.54230077458483*sqr(b186) + 2.44389854368348*
     sqr(b187) + 2.91244936067795*sqr(b188) + 0.62178899562263*sqr(b190) + 
     2.09384122449381*sqr(b192) + 1.42353286668588*sqr(b193) + 2.1402486310476*
     sqr(b195) + 2.51639271702751*sqr(b196) + 2.65700419169187*sqr(b197) + 
     2.28551031374632*sqr(b198) + 2.21810618727219*sqr(b199) + 
     0.0499024825336172*sqr(b50) + 3.14004995621233*sqr(b84) + 
     0.0094046246609489*sqr(b100) + 3.62155000035859*sqr(b177) + 
     3.58070217537593*sqr(b22) + 2.17799465868609*sqr(b55) + 3.17064985435941*
     sqr(b127) + 1.24759067530759*sqr(b145) + 2.68879859343909*sqr(b181) + 
     3.61115000005*sqr(b108) + 0.382244306876935*sqr(b35) + 3.71835000005*sqr(
     b194) + 0.243403427454026*sqr(b72) + 3.02799947171688*sqr(b156) + 
     3.57925000005*sqr(b98) + 3.34545000005*sqr(b99) + 4.03090000005001*sqr(
     b106) + 3.07075000005001*sqr(b107) + 3.62900000005002*sqr(b116) + 
     3.80410000005*sqr(b118) + 2.98190000005*sqr(b135) + 3.08150000005*sqr(b121
     ) + 2.93525000005*sqr(b141) + 3.77460000005*sqr(b180) + 
     0.000388920000003465*b1*b9 + 0.000449079999991296*b1*b25 + 
     0.000250960000015845*b1*b32 + 0.00157369999998342*b1*b38 - 
     0.000322480000004127*b1*b45 - 0.000335000000017728*b1*b53 + 
     0.000802299999979185*b1*b64 - 6.54250000037185e-5*b1*b67 + 
     0.00275970000001924*b1*b69 - 0.0018488999999138*b1*b77 - 
     0.000909679999975395*b1*b91 - 0.00136509999995708*b1*b92 + 
     0.0167440000000051*b1*b97 - 0.0086706999999526*b1*b131 - 
     0.00149859999995399*b1*b134 + 0.000319060000031131*b1*b142 - 
     0.0093981999999988*b1*b163 - 0.000948239999974595*b1*b173 - 
     0.0051159000000785*b1*b189 - 0.0197010000000092*b1*b191 + 
     0.000260369999994991*b1*b200 - 8.61654869278965e-9*b2*b3 - 
     1.17176239972556e-8*b2*b4 + 1.55739448359315e-7*b2*b5 + 1.3309899183227e-7
     *b2*b6 - 1.88760498739001e-8*b2*b7 + 1.67425762230156e-7*b2*b8 + 
     7.92150648412075e-8*b2*b9 + 1.37191053037327e-8*b2*b10 - 
     6.0184398729574e-9*b2*b11 + 1.53023875683246e-8*b2*b12 + 
     9.8638673629156e-8*b2*b13 - 2.96677392982078e-8*b2*b14 + 
     2.84203061980255e-8*b2*b15 + 4.40764885557051e-7*b2*b16 - 
     3.95836642506392e-8*b2*b17 - 1.02076306802987e-7*b2*b18 + 
     1.20188087554744e-7*b2*b19 - 2.54158686774285e-7*b2*b20 + 
     4.37135813664525e-7*b2*b21 - 3.96800497424509e-7*b2*b23 - 
     1.88447508189457e-7*b2*b24 + 7.69126427900535e-8*b2*b25 - 
     3.40848754400259e-6*b2*b26 - 9.31960110052355e-8*b2*b27 + 
     5.66777465133965e-9*b2*b29 + 1.45060086794082*b2*b30 + 2.84634450210864e-9
     *b2*b31 - 4.6416993024239e-7*b2*b32 + 1.90499539880981e-7*b2*b33 - 
     1.27535110676263e-8*b2*b34 + 3.19026954614937e-9*b2*b37 + 
     2.54220617308295e-8*b2*b38 - 1.58064943476075e-7*b2*b39 + 
     3.69556793590324e-7*b2*b40 - 2.1067054615767e-6*b2*b41 - 
     1.91566168896263e-6*b2*b42 + 7.83317179221075e-9*b2*b43 - 
     1.5234470244325e-8*b2*b44 - 8.57768697231265e-8*b2*b45 - 0.065251874088543
     *b2*b46 + 1.06369166944717e-7*b2*b48 + 7.31893299970375e-8*b2*b49 + 
     3.44380633702655e-8*b2*b52 - 2.7217559205363e-8*b2*b53 - 
     1.6839670315077e-7*b2*b54 + 5.44890383317555e-8*b2*b56 + 
     1.53175327676438e-8*b2*b57 + 0.459510119439927*b2*b59 + 
     5.32827853317495e-8*b2*b60 - 1.73168876342035e-7*b2*b61 + 
     1.70106865747008e-8*b2*b62 + 3.0675666325493e-7*b2*b63 + 
     8.06467757686665e-9*b2*b64 + 5.4177378352016e-8*b2*b65 + 
     4.57052455312266e-8*b2*b66 - 2.31502200890459e-8*b2*b67 - 
     9.16656404652145e-8*b2*b68 + 6.24658127583775e-9*b2*b69 + 
     8.1051076252542e-7*b2*b70 + 2.77912779998718e-7*b2*b71 - 
     1.10856382709132e-7*b2*b73 - 3.07830385897063e-8*b2*b74 - 
     2.80042276376538e-8*b2*b75 + 1.4421265599079e-9*b2*b76 - 
     2.7587021168489e-8*b2*b77 + 1.53405153199804e-8*b2*b78 - 
     9.62064980996555e-7*b2*b80 - 3.14849060571961e-7*b2*b81 + 
     2.06665731676186e-8*b2*b82 - 3.21255266057962e-8*b2*b83 + 
     1.67061853020688e-8*b2*b85 - 3.7469588582477e-7*b2*b86 + 
     1.28375029773789e-7*b2*b87 + 7.99872967897865e-8*b2*b88 + 
     3.37664895156201e-8*b2*b89 + 1.55431993776e-7*b2*b90 - 1.18930070067817e-8
     *b2*b91 + 1.02143645622924e-7*b2*b92 - 5.27601355414535e-8*b2*b93 - 
     1.25944667135803e-6*b2*b94 + 7.62885384371485e-8*b2*b95 + 
     3.01555116458269e-8*b2*b96 - 1.10256581808635e-9*b2*b97 - 
     7.7191350633244e-7*b2*b101 - 4.02472205694324e-7*b2*b102 + 
     2.78078459870514e-8*b2*b103 + 4.45706596440217e-7*b2*b104 - 
     2.72101560276719e-6*b2*b105 - 1.01126123743646e-7*b2*b109 + 
     1.42979485453127e-7*b2*b110 - 6.2677467555477e-8*b2*b111 - 
     5.62587101185795e-9*b2*b112 - 4.79491300721013e-9*b2*b113 + 
     8.3748002454157e-9*b2*b114 - 2.74656908561171e-7*b2*b115 + 
     4.43904931134022e-7*b2*b117 + 4.69261214872518e-8*b2*b119 + 
     8.1127222259303e-8*b2*b120 + 9.3797136344527e-8*b2*b122 - 
     1.04413920144198e-7*b2*b123 - 2.27384666333087e-7*b2*b124 - 
     2.52118696844411e-8*b2*b125 - 1.97209455537635e-9*b2*b126 + 
     4.16029715959754e-8*b2*b128 - 1.38672162082548e-7*b2*b129 + 
     2.98065737067396e-7*b2*b130 - 1.9524751450086e-8*b2*b131 + 
     1.30554519008387e-6*b2*b132 - 1.38120748375323e-7*b2*b133 - 
     2.07373688326076e-8*b2*b134 - 9.132334909784e-8*b2*b136 + 
     5.1015845297851e-7*b2*b137 - 7.68259467695405e-9*b2*b138 + 
     1.40530959795686e-7*b2*b139 + 1.91177878851757e-7*b2*b140 - 
     1.72205340206269e-8*b2*b142 - 1.77025947970518e-7*b2*b143 - 
     1.45104947668344e-7*b2*b144 - 2.19747029029523e-9*b2*b146 + 
     5.0291676906258e-8*b2*b147 + 8.1209052066019e-8*b2*b148 - 
     8.21030064349105e-8*b2*b149 - 2.33579401250216e-7*b2*b150 - 
     2.76730683801434e-8*b2*b151 - 5.69723972407535e-9*b2*b152 + 
     2.38679403480188e-7*b2*b153 - 2.18349457112595e-9*b2*b154 - 
     1.21913337765572e-7*b2*b155 - 2.94679825025331e-8*b2*b157 - 
     3.7961186428742e-7*b2*b158 + 1.37999807202351*b2*b159 - 
     2.36749388062701e-8*b2*b160 - 5.870227878274e-7*b2*b161 - 
     9.4686435547768e-7*b2*b162 - 1.24795729291632e-6*b2*b164 + 
     1.63895546099107e-7*b2*b165 - 1.01534492665816e-7*b2*b166 - 
     4.94618609453644e-8*b2*b167 - 4.53321756319709e-9*b2*b168 + 
     2.16250317172693e-7*b2*b169 - 1.00592405463575e-7*b2*b170 - 
     1.00076290765081e-7*b2*b171 + 1.47840019169925e-8*b2*b172 - 
     7.05443620495465e-9*b2*b173 + 8.6416875053502e-8*b2*b174 + 
     6.91198117487645e-8*b2*b175 - 6.16696680506065e-9*b2*b176 + 
     4.32679552652081e-8*b2*b178 + 2.58570583038029e-6*b2*b179 - 
     2.99880816370136e-8*b2*b182 + 2.46438616149363e-9*b2*b183 + 
     5.3095649067858e-9*b2*b184 - 2.2400445926959e-8*b2*b185 + 
     2.63815392962336e-7*b2*b186 + 3.73223618058121e-8*b2*b187 + 
     5.5171909594462e-8*b2*b188 + 3.1751893377928e-8*b2*b189 + 
     4.82968043597442e-7*b2*b190 + 2.80611696411492e-9*b2*b191 - 
     2.55666784338154e-8*b2*b192 + 1.32365335059983e-7*b2*b193 - 
     1.20828271537465e-7*b2*b195 - 7.26673502294595e-7*b2*b196 + 
     1.29159147524421e-6*b2*b197 - 4.25445094158475e-9*b2*b198 + 
     3.25193352306829e-8*b2*b199 + 2.12618158547496e-7*b2*b200 + 
     0.000489876085673317*b3*b4 + 0.00580096096429815*b3*b5 + 
     2.18806111840801e-8*b3*b6 + 0.000946116689685525*b3*b7 + 
     2.07698480256429e-8*b3*b8 + 0.00509857298787505*b3*b9 + 
     0.00224962431466298*b3*b10 - 1.78005221657688e-8*b3*b12 - 
     0.0314830931940544*b3*b13 + 1.1751577653277e-7*b3*b14 - 
     2.18381021653838e-8*b3*b15 + 5.95895732467475e-9*b3*b16 - 
     4.48921569675617e-9*b3*b17 - 0.364959816491491*b3*b18 - 
     2.73020770019999e-8*b3*b19 - 1.11800493164918e-8*b3*b20 + 
     0.00454436363861194*b3*b21 - 1.67703930939995e-8*b3*b23 - 
     8.2522291873898e-9*b3*b24 + 0.0058871861707262*b3*b25 - 
     2.09034364929961e-8*b3*b26 + 7.10862479169485e-8*b3*b27 - 
     1.01524560801802e-8*b3*b29 - 0.000231687442573224*b3*b30 - 
     0.0240921057772528*b3*b32 - 0.01454487412045*b3*b33 - 0.00124109003086118*
     b3*b34 + 2.94064482822425e-8*b3*b37 + 0.0235800250719867*b3*b38 + 
     9.0387738066759e-9*b3*b39 - 6.7603978195026e-9*b3*b40 - 
     3.18202777340113e-8*b3*b41 + 9.83905986783825e-9*b3*b42 + 
     3.16311636964034e-8*b3*b43 + 0.000379627301549057*b3*b44 - 
     0.00422768692912762*b3*b45 + 1.03925036755103e-5*b3*b46 + 
     2.83126499665409e-8*b3*b48 - 2.26928710926863e-8*b3*b49 + 
     1.72599014401415e-5*b3*b50 - 0.000815379600153055*b3*b52 + 
     3.41507561032179e-8*b3*b54 + 1.66804632541933e-8*b3*b56 + 
     2.62645201731497e-9*b3*b57 + 0.000733002438066295*b3*b59 - 
     1.58320366488457e-8*b3*b60 + 9.19545020797495e-9*b3*b61 + 
     3.59524501292774e-8*b3*b62 - 8.89999277455865e-8*b3*b63 + 
     0.00166249346174344*b3*b64 + 2.00850708675424e-9*b3*b65 - 
     3.89035425763166e-5*b3*b66 - 0.000857705741569735*b3*b67 + 
     1.50219436034165e-8*b3*b68 + 0.0057184935131859*b3*b69 + 
     0.0019776765349012*b3*b70 - 1.58491210694785e-8*b3*b71 + 
     0.00299694326105977*b3*b73 - 0.00592727623142575*b3*b74 - 
     4.29092052008016e-9*b3*b75 - 0.00117699020123575*b3*b76 - 
     0.0277030376751448*b3*b77 - 0.0506162783892605*b3*b78 + 0.0842759480497865
     *b3*b80 + 0.177970069293449*b3*b81 + 1.88537833263115e-9*b3*b82 - 
     1.5365462424465e-8*b3*b83 + 6.73380928223055e-9*b3*b84 + 
     3.72183543524301e-8*b3*b85 + 0.125859876407903*b3*b86 - 
     0.00355257662112303*b3*b87 - 3.00919811939987e-8*b3*b88 + 
     1.7867474472696e-8*b3*b89 + 4.87235625724012e-8*b3*b90 - 
     0.0136310299540679*b3*b91 + 1.3368543687279e-8*b3*b92 + 
     0.00346210809675214*b3*b94 + 0.0325139538756506*b3*b95 - 
     0.0194748327757106*b3*b96 - 0.00103480342023479*b3*b97 - 0.082376991784883
     *b3*b100 - 0.00414928784831579*b3*b101 + 0.000135430504431667*b3*b102 - 
     3.62907582455462e-9*b3*b103 - 0.118400436371524*b3*b104 + 
     0.00700583287099545*b3*b105 + 3.18970888560116e-8*b3*b109 - 
     0.0115121344716447*b3*b110 - 0.131339588991876*b3*b111 + 
     6.5468500375323e-9*b3*b112 - 6.71512028781605e-8*b3*b113 + 
     1.8706321748641e-5*b3*b114 - 0.00699799746721195*b3*b115 + 
     6.6352540559635e-9*b3*b117 - 0.00129059381242693*b3*b119 + 
     0.00271204589688664*b3*b120 - 0.017416032087972*b3*b122 + 
     1.36260445085791e-8*b3*b123 + 5.52599621687215e-9*b3*b124 - 
     0.0451129624394788*b3*b125 + 0.449359943280983*b3*b128 - 
     4.0014543805993e-8*b3*b129 - 0.154029965387392*b3*b130 + 
     1.15129169613954e-7*b3*b131 + 5.77688934379105e-9*b3*b132 - 
     1.36704997382845e-5*b3*b133 - 0.0163370302712582*b3*b134 + 
     3.46740756871848e-8*b3*b136 - 0.0289699716559635*b3*b137 + 
     1.56269972129698e-8*b3*b139 + 1.94384616455567e-8*b3*b140 + 
     0.00066113146297696*b3*b142 - 0.0097351246727158*b3*b143 - 
     0.0006823628340164*b3*b144 + 0.066747008767897*b3*b146 - 
     1.69424655266284e-8*b3*b147 + 2.04858735031865e-8*b3*b148 - 
     2.18429689585275e-8*b3*b149 + 0.00546570790414535*b3*b150 - 
     1.47388417694651e-9*b3*b151 - 2.78172856909115e-8*b3*b152 + 
     0.012418105265991*b3*b153 - 2.74934079037988e-8*b3*b155 - 
     0.0070048295521149*b3*b157 - 2.31221433727537e-8*b3*b158 - 
     3.80592504177252e-8*b3*b159 - 8.73041409797245e-8*b3*b160 - 
     0.069594973924578*b3*b161 - 5.1878188362951e-9*b3*b162 - 
     2.34695069723487e-9*b3*b163 - 0.103769970275477*b3*b164 + 
     8.7293562856479e-9*b3*b165 - 0.00153186773439076*b3*b166 + 
     4.00171160445247e-8*b3*b167 - 1.67246428783863e-8*b3*b168 + 
     0.0212352545114101*b3*b169 - 5.74622605748565e-5*b3*b170 - 
     2.20509214320778e-8*b3*b171 - 0.00355344316956416*b3*b172 + 
     0.132039978404212*b3*b173 + 1.40350378489775e-8*b3*b174 + 
     4.40933344362647e-9*b3*b175 + 7.1745800129391e-9*b3*b176 - 
     0.185919999591194*b3*b177 + 2.71329097268258e-8*b3*b178 + 
     4.70004435106734e-8*b3*b179 - 0.0136141771234524*b3*b182 + 
     3.45057396917451e-8*b3*b183 - 0.00173519669263268*b3*b184 - 
     1.0836528217809e-8*b3*b185 - 4.01655637392932e-8*b3*b186 - 
     2.37932378118333e-9*b3*b187 - 1.73000502129127e-8*b3*b188 - 
     2.00069831827108e-7*b3*b189 + 1.27257639795984e-8*b3*b190 + 
     5.41916341759835e-9*b3*b191 - 0.00162910143549036*b3*b192 - 
     4.52833291535571e-7*b3*b193 - 7.78348091806905e-9*b3*b195 - 
     0.075275992825803*b3*b196 + 0.05815194114192*b3*b197 - 0.00887991541973085
     *b3*b198 + 0.0237009768740364*b3*b199 - 1.677667339261e-9*b3*b200 - 
     8.03032176009965e-9*b4*b5 + 1.07020945603121e-7*b4*b6 - 2.95498626226093*
     b4*b7 - 3.93421860681557e-9*b4*b8 + 4.44120250531162e-8*b4*b9 - 
     0.00446094597250065*b4*b10 - 1.95455297858824e-9*b4*b11 - 
     3.40933650938671e-8*b4*b12 - 1.1641940402396*b4*b13 + 4.8916854640795e-8*
     b4*b14 - 1.84488775725795e-9*b4*b15 - 1.90380590201852e-9*b4*b16 + 
     0.058685768044763*b4*b18 - 2.3882656856152e-8*b4*b19 - 3.27582619174984e-8
     *b4*b20 + 2.19308176439048e-7*b4*b21 - 1.13846517883799e-8*b4*b23 + 
     5.5253165615825e-8*b4*b24 + 5.5824041899145e-8*b4*b25 + 
     2.66520827805067e-8*b4*b26 - 1.04186423658751e-8*b4*b27 - 
     5.97593366546515e-9*b4*b29 - 1.1510433980144e-5*b4*b30 + 
     1.00740972330901e-9*b4*b31 + 3.73233653930531e-8*b4*b32 + 
     1.78011567447409e-7*b4*b33 - 7.4573106292662e-8*b4*b34 - 
     3.76027884257183e-8*b4*b37 + 7.99609392483085e-9*b4*b38 + 
     6.6850354248671e-9*b4*b39 - 1.16329272987698e-9*b4*b40 - 
     4.81203618399451e-8*b4*b41 - 3.14349265395234e-8*b4*b42 + 
     1.22969029072867e-9*b4*b44 - 2.50618983524029e-8*b4*b45 + 
     5.2868411148228e-7*b4*b46 - 4.32165820721377e-9*b4*b48 + 
     6.8729578657106e-9*b4*b49 - 3.15301896061734e-9*b4*b50 + 
     1.70772522677318e-8*b4*b52 - 6.69653890201395e-8*b4*b53 - 
     6.5264231120795e-8*b4*b54 - 9.27642345647965e-9*b4*b56 - 
     1.35236092065521e-9*b4*b57 + 3.6574233941391e-5*b4*b59 + 
     5.68629376311165e-8*b4*b60 - 2.81920708450842e-8*b4*b61 + 
     5.8635589530065e-8*b4*b62 - 1.96597616254607e-7*b4*b63 - 
     0.00329668801814633*b4*b64 - 1.2687773838011e-9*b4*b65 + 
     0.000125894960938957*b4*b66 + 8.7325790135683e-9*b4*b67 + 
     1.09273654311826e-8*b4*b68 - 0.0113399498266499*b4*b69 + 
     1.31293103477105e-8*b4*b70 - 0.00974390199146315*b4*b73 + 
     1.16719210966407e-8*b4*b74 + 2.34178738404259e-8*b4*b75 + 
     0.00233406112168997*b4*b76 + 4.96489967741781e-9*b4*b77 - 
     4.95521752074597e-8*b4*b78 - 2.17996771940705e-8*b4*b80 + 
     0.0088992052810557*b4*b81 - 4.66072288647351e-9*b4*b82 - 
     8.6109260287693e-9*b4*b84 + 8.6270463440269e-9*b4*b85 + 0.0131558603936354
     *b4*b86 + 0.00225210903658487*b4*b87 - 2.87083090490212e-8*b4*b88 + 
     2.26713011601665e-8*b4*b89 - 1.2458381440063e-8*b4*b90 + 
     4.32588020795995e-9*b4*b91 + 1.94501439870154e-8*b4*b92 - 
     1.71331623758167e-8*b4*b93 - 0.0085774272939043*b4*b94 + 
     2.26136928279875e-8*b4*b95 + 0.0123459209685622*b4*b96 + 
     0.00205199277760766*b4*b97 + 5.7839865699792e-9*b4*b100 + 
     0.00263036762697613*b4*b101 - 0.000440319054506312*b4*b102 - 
     1.39349680464024e-9*b4*b103 + 0.219101273968791*b4*b104 - 
     0.0173570049519056*b4*b105 + 3.29395942523426e-8*b4*b109 + 
     7.26694218761525e-8*b4*b110 - 0.085785533047124*b4*b111 + 
     1.25403075758181e-8*b4*b112 + 1.43952170308465e-8*b4*b113 - 
     6.07696368702015e-5*b4*b114 - 2.80098131665487e-8*b4*b115 - 
     1.24767361534539e-8*b4*b117 - 1.91032729698514e-9*b4*b119 + 
     1.11599633233463e-8*b4*b120 - 0.00087084465849368*b4*b122 + 
     5.2327844313593e-9*b4*b123 + 2.51818344320855e-9*b4*b124 - 
     7.7206569232363e-8*b4*b125 - 0.00236547734104249*b4*b128 - 
     5.9327316740301e-8*b4*b129 + 0.0110418898035228*b4*b130 + 
     1.86920134439561e-8*b4*b131 - 7.03946445439915e-9*b4*b132 + 
     4.4227344905877e-5*b4*b133 + 1.63738621754269e-9*b4*b134 + 
     3.19027946145439e-8*b4*b136 + 1.84422351680905e-8*b4*b137 - 
     1.99694851564256e-9*b4*b138 + 7.92502971851985e-9*b4*b139 + 
     1.76977483200099e-8*b4*b140 - 0.00131098977046113*b4*b142 - 
     3.04970686706824e-7*b4*b143 - 4.08598314451326e-8*b4*b144 + 
     0.00308412843808126*b4*b146 + 2.9550435067953e-8*b4*b147 + 
     1.66596733994691e-8*b4*b148 - 3.14966309204467e-9*b4*b149 - 
     4.15082726410381e-9*b4*b150 + 1.14275566998564e-8*b4*b151 - 
     8.8450703097573e-9*b4*b152 + 4.35710349195955e-8*b4*b153 - 
     1.31184401816636e-9*b4*b154 + 2.07772057660847e-8*b4*b155 + 
     0.0330229246677919*b4*b157 + 2.376085253237e-9*b4*b158 - 
     4.97733851116441e-8*b4*b159 + 1.5049445520184e-7*b4*b160 - 
     0.0457309372512362*b4*b161 - 2.2886169144233e-8*b4*b162 + 
     4.04575779735699e-9*b4*b163 - 3.1561621886514e-8*b4*b164 - 
     6.7680077960246e-8*b4*b165 - 7.3939333720753e-8*b4*b166 - 
     1.19545385020597e-8*b4*b167 - 2.51903771594029e-9*b4*b168 + 
     2.52359486539135e-8*b4*b169 + 7.1787493137779e-9*b4*b170 - 
     8.34277923249135e-8*b4*b171 + 0.0070465697885599*b4*b172 - 
     2.22276022962948e-9*b4*b173 - 7.35013382048435e-9*b4*b174 + 
     2.93622603622127e-9*b4*b175 + 1.37423029270636e-8*b4*b176 + 
     2.51502427443716e-8*b4*b178 + 5.53652518526625e-8*b4*b179 - 
     1.20531076065879e-8*b4*b182 - 7.3964813689124e-9*b4*b183 + 
     0.0056417219203782*b4*b184 + 1.40852493457876e-8*b4*b185 + 
     1.1543410285991e-7*b4*b186 - 4.72530148330543e-8*b4*b187 + 
     1.23929470789671e-8*b4*b188 - 2.31511599809235e-8*b4*b189 + 
     1.48208566400676e-9*b4*b190 - 3.69001887191407e-9*b4*b192 + 
     1.52369828042973e-6*b4*b193 - 5.8752349896283e-9*b4*b195 - 
     7.22695036100915e-9*b4*b196 - 0.0418067989770839*b4*b197 + 
     0.0418636941248385*b4*b198 - 0.0469987883065755*b4*b199 - 
     5.1712778847191e-9*b4*b200 - 0.00105389581611806*b5*b6 - 
     8.57213394500465e-9*b5*b7 + 1.84637257746651e-7*b5*b8 + 
     0.000479456657545844*b5*b9 + 4.79650462766586e-8*b5*b10 - 
     0.0540859925397665*b5*b11 + 7.70080556425165e-7*b5*b12 - 
     0.0166251135563376*b5*b13 + 3.61944345917266e-8*b5*b14 - 
     2.18730897081082e-7*b5*b15 + 0.00197559572930224*b5*b16 - 5.19707958611e-7
     *b5*b17 + 0.0121475692731766*b5*b18 - 2.31899928683698*b5*b19 - 
     0.243230127212374*b5*b20 - 0.397838618527719*b5*b21 - 5.6267316474248e-8*
     b5*b22 + 0.0148201613175021*b5*b23 + 0.55636708725918*b5*b24 + 
     0.000553478561065975*b5*b25 - 0.0229482423344199*b5*b26 - 
     0.145729884739081*b5*b27 - 0.365009152127432*b5*b29 - 0.0653683102185655*
     b5*b30 - 3.10096315314635e-9*b5*b31 - 0.0022653402034009*b5*b32 + 
     0.00768978187317735*b5*b33 + 0.00486359455635733*b5*b34 + 
     1.49650163688858e-7*b5*b37 - 0.0051331865025254*b5*b38 + 
     0.0882393285436195*b5*b39 + 0.0022991420750409*b5*b40 + 
     0.00228798208860066*b5*b41 + 1.63405546761719e-7*b5*b42 - 
     0.0064618385820985*b5*b43 + 0.000119222690133415*b5*b44 - 
     0.000397523160617515*b5*b45 + 0.0621757325268405*b5*b46 - 
     0.00119216391420785*b5*b48 + 0.426529925944583*b5*b49 - 
     0.000217119762425539*b5*b50 + 0.0326114645151434*b5*b52 - 
     3.70006407306062e-8*b5*b53 - 0.81161810622136*b5*b54 + 1.54794596121683e-8
     *b5*b55 - 0.417439756586827*b5*b56 + 9.1718160198197e-8*b5*b57 - 
     0.0272117572341046*b5*b59 + 1.8712874794197e-7*b5*b60 - 
     7.71945245274385e-9*b5*b61 - 0.000134543202545697*b5*b62 - 
     0.0237126338329919*b5*b63 - 1.91384287244778e-7*b5*b64 - 
     7.49237167219465e-8*b5*b65 + 0.499241560897004*b5*b66 - 8.0670572197234e-5
     *b5*b67 - 2.56747305415572e-5*b5*b68 - 1.2320868111462e-8*b5*b69 + 
     0.0069102826696093*b5*b70 - 0.0311446349532107*b5*b71 - 5.503229132768e-8*
     b5*b73 + 0.237060331392037*b5*b74 - 0.000444658787411552*b5*b75 + 
     3.75825852555061e-8*b5*b76 + 0.00603089114407065*b5*b77 + 
     0.0055139568662237*b5*b78 - 6.9765574492123e-8*b5*b80 + 
     7.43386622288785e-8*b5*b81 - 6.8845788353985e-9*b5*b82 - 0.041274388745994
     *b5*b83 + 3.42685332888534e-8*b5*b84 - 2.25854773311702e-7*b5*b85 - 
     0.017333991410878*b5*b86 - 0.0071157007599289*b5*b87 + 5.3803391134775e-5*
     b5*b88 - 0.000337154220955772*b5*b89 - 0.0021631753932088*b5*b90 + 
     0.00296729865542238*b5*b91 - 0.0268641258924842*b5*b92 - 0.474089934615001
     *b5*b93 - 0.0126227298544361*b5*b94 + 0.000429194925592602*b5*b95 + 
     0.00494004384644652*b5*b96 + 4.54512845626635e-8*b5*b97 - 
     1.86084536643669e-9*b5*b100 + 0.00088003130382907*b5*b101 + 
     0.16185724474011*b5*b102 - 8.95059283356445e-8*b5*b103 - 
     0.0696374608616815*b5*b104 - 0.0193788916380522*b5*b105 + 
     2.68981056585472e-7*b5*b109 - 0.126177790583674*b5*b110 + 
     0.0359837675504052*b5*b111 - 2.83252811403277e-7*b5*b112 - 
     9.92088535523325e-9*b5*b113 + 7.7800184871062e-9*b5*b114 + 
     0.598608169033105*b5*b115 - 4.17529514957071e-8*b5*b117 + 
     0.0516174814624195*b5*b119 - 0.00386895799807077*b5*b120 - 
     0.00023826136115103*b5*b122 + 3.3608306934686e-7*b5*b123 - 
     0.00105245215996926*b5*b124 + 0.00395209664084174*b5*b125 + 
     1.32222092921934e-7*b5*b126 + 6.26732803444635e-6*b5*b127 - 
     0.0280112944776428*b5*b128 + 0.00290765317451874*b5*b129 - 
     1.39275808048502e-7*b5*b130 + 9.45447041592535e-8*b5*b131 + 
     0.00567773380422375*b5*b132 + 0.192950924300982*b5*b133 + 
     0.00488836870717638*b5*b134 - 6.143830758576e-5*b5*b136 - 
     0.0012822443298918*b5*b137 - 2.02559109011224e-8*b5*b138 + 
     1.52777161077426e-7*b5*b139 - 0.306490068328738*b5*b140 + 
     4.57200425656098e-7*b5*b142 - 0.0128816534044116*b5*b143 + 
     0.062329398042636*b5*b144 - 2.04525279955601e-8*b5*b145 - 
     0.0153291693634782*b5*b146 - 1.16780995305586e-7*b5*b147 + 
     0.454849562105718*b5*b148 - 0.000311766023696173*b5*b149 - 
     0.00250043507067282*b5*b150 + 5.6447079310829e-8*b5*b151 + 
     4.64871337055723e-7*b5*b152 + 0.142419144590897*b5*b153 - 
     1.36183213949514e-7*b5*b154 + 4.30488311316328e-7*b5*b155 - 
     0.00080254853256501*b5*b157 + 6.0415194788565e-8*b5*b158 + 
     0.080716171846035*b5*b159 - 2.12149762944779e-8*b5*b160 + 
     0.0377068837971138*b5*b161 - 6.0789825057001e-8*b5*b162 + 
     2.32470669954336e-7*b5*b164 - 3.34312473837678e-7*b5*b165 - 
     1.85136046421992e-7*b5*b166 - 0.51308010325694*b5*b167 + 
     1.32680885709455e-7*b5*b168 - 0.474801564432276*b5*b169 + 
     0.00072268807455806*b5*b170 + 0.000807654279055375*b5*b171 + 
     1.89297772167499e-7*b5*b172 + 0.0095231248781158*b5*b173 + 
     3.86771666042895e-7*b5*b174 + 0.078817751155474*b5*b175 - 
     3.10403176440879e-7*b5*b176 - 4.81161738256236e-7*b5*b178 + 
     0.0210007346881795*b5*b179 - 2.01722342641239e-6*b5*b181 + 
     0.157401418774133*b5*b182 + 5.09634187160935e-9*b5*b183 - 
     1.89643462916053e-7*b5*b184 + 4.09594581496357e-8*b5*b185 - 
     0.0402143768417902*b5*b186 - 2.90337566397009e-7*b5*b187 + 
     0.341549922526446*b5*b188 - 1.61445660377953e-7*b5*b189 - 
     2.14411842690688e-7*b5*b190 - 4.75699753454286e-8*b5*b191 + 
     1.61465372711333e-8*b5*b192 + 0.0698384472492015*b5*b193 + 
     0.284696956033086*b5*b195 + 2.81947941849648e-8*b5*b196 + 
     0.005180822444005*b5*b197 - 0.00101733045393404*b5*b198 - 
     8.13790153411395e-8*b5*b199 + 0.0061794720949541*b5*b200 + 
     1.52137071424663e-7*b6*b7 + 4.84457908209154e-7*b6*b8 + 
     0.00619988474934765*b6*b9 + 1.9680185542655e-8*b6*b11 - 
     3.25936993604156e-9*b6*b12 - 0.256301115601524*b6*b13 - 
     2.14804145212473e-7*b6*b14 - 3.74857681511664e-8*b6*b15 + 
     5.8570994879449e-9*b6*b16 + 1.80561818011563e-7*b6*b17 + 0.079467433854359
     *b6*b18 + 4.86915239836496e-7*b6*b19 + 0.00829570377203045*b6*b20 - 
     0.00150897569273743*b6*b21 + 4.76258969215118e-8*b6*b22 - 
     0.0275581211404273*b6*b23 - 1.06838129562242e-7*b6*b24 + 
     0.00715882118406685*b6*b25 + 3.29181865138666e-7*b6*b26 + 
     0.00497040929073495*b6*b27 + 1.0117617430042e-7*b6*b29 - 
     3.16648869819635e-6*b6*b30 - 1.57812874459042e-9*b6*b31 - 
     0.0292959950617759*b6*b32 - 2.59074178540175e-7*b6*b33 + 
     4.53335064932088e-7*b6*b34 - 8.67737844289145e-8*b6*b37 + 
     6.52758012200145e-8*b6*b38 - 1.51750393275854e-8*b6*b39 - 
     0.0119368786491258*b6*b40 + 0.0361929776254505*b6*b41 + 0.0120740922654656
     *b6*b42 - 3.55479604011833e-8*b6*b43 - 1.75176859270499e-8*b6*b44 - 
     0.00514076916834485*b6*b45 + 1.58735624034021e-7*b6*b46 + 
     1.10736702690944e-7*b6*b48 + 5.1743954429156e-7*b6*b49 + 
     1.30164491570849e-7*b6*b50 - 0.0510630587238615*b6*b52 - 
     3.17773040422904e-8*b6*b53 + 1.57929931259012e-8*b6*b54 + 
     1.27234682817467e-9*b6*b55 + 1.7795894769942e-7*b6*b56 + 
     0.00569982913611275*b6*b57 + 9.22606470035865e-6*b6*b59 - 
     0.306222235208781*b6*b60 + 4.37774738137595e-8*b6*b61 + 0.589478806863445*
     b6*b62 + 3.30440502328414e-7*b6*b63 + 2.02933766927336e-9*b6*b64 + 
     4.82280667244969e-8*b6*b65 - 0.505651617382015*b6*b66 - 
     0.00104296515380868*b6*b67 - 0.0081210992873196*b6*b68 + 
     5.20514020473985e-8*b6*b69 - 0.000230810679992859*b6*b70 + 
     1.34693174615588e-7*b6*b71 + 4.23186065231426e-8*b6*b73 + 
     0.00107675929754656*b6*b74 - 0.0616520432713815*b6*b75 - 
     1.47116310523243e-8*b6*b76 - 8.1638794232852e-8*b6*b77 - 
     9.5326462364176e-8*b6*b78 + 0.0183990211500765*b6*b80 + 
     0.00218112873219474*b6*b81 + 1.04784132123676e-8*b6*b82 + 
     4.01479124523182e-8*b6*b83 - 1.98702369604115e-8*b6*b84 + 
     6.8059224460578e-8*b6*b85 + 0.000399854229455212*b6*b86 - 
     4.95124718900924e-8*b6*b87 + 5.4437175244786e-7*b6*b88 - 0.410373735144021
     *b6*b89 + 0.0273598793684676*b6*b90 - 1.26616219185953e-7*b6*b91 - 
     3.20431800724224e-7*b6*b92 + 1.72507883708936e-7*b6*b93 + 
     0.0013362792205805*b6*b94 - 0.0190639153076088*b6*b95 + 0.0112330404205611
     *b6*b96 - 3.55512526418748e-8*b6*b97 - 5.2943703597794e-9*b6*b100 - 
     0.052723156424284*b6*b101 - 0.162158318131001*b6*b102 - 7.1601798667785e-8
     *b6*b103 - 1.07350493521485*b6*b104 + 0.0027046715358779*b6*b105 - 
     4.60720298764018e-7*b6*b109 + 0.00209156094771415*b6*b110 + 
     0.61586238660773*b6*b111 + 1.19748363194173e-9*b6*b112 - 
     1.3984499475712e-7*b6*b113 - 2.02623386150351e-9*b6*b114 + 
     0.00127130590146301*b6*b115 + 8.1192022192618e-8*b6*b117 + 
     0.032589378945585*b6*b119 - 0.00298699797267261*b6*b120 - 
     0.000213346569703372*b6*b122 + 2.6884842460706e-7*b6*b123 + 
     1.46357131896519e-8*b6*b124 + 0.049686238671023*b6*b125 - 
     9.83372756498805e-8*b6*b126 - 1.05946237260812e-7*b6*b128 - 
     3.04436977633014e-7*b6*b129 - 0.00177489490817584*b6*b130 + 
     3.96660477070445e-8*b6*b131 + 1.63187189924094e-8*b6*b132 - 
     0.177690324016864*b6*b133 - 8.47654844868755e-8*b6*b134 - 
     4.65279571918143e-7*b6*b136 + 0.0062947636065165*b6*b137 - 
     2.28073459612726e-8*b6*b138 + 3.26201600758916e-7*b6*b139 + 
     0.0104536938703562*b6*b140 + 2.52830779869606e-8*b6*b142 + 
     9.8007397495425e-7*b6*b143 - 0.00442453610931992*b6*b144 - 
     1.68099449013384e-9*b6*b145 - 6.8627327364434e-8*b6*b146 - 
     1.95211452344752e-8*b6*b147 + 0.0328135877800676*b6*b148 - 
     8.5667663276347e-8*b6*b149 - 0.00063758054499496*b6*b150 - 
     1.80949736833244e-8*b6*b151 - 1.19663007966409e-7*b6*b152 - 
     0.00225520749230313*b6*b153 + 1.27829804782375e-7*b6*b154 - 
     0.0798974430240155*b6*b155 - 1.64418935162942e-7*b6*b157 + 
     3.35674860103914e-9*b6*b158 + 2.120498893675e-7*b6*b159 + 
     5.98182175466115e-9*b6*b160 + 0.328292431065929*b6*b161 - 
     0.076662885359812*b6*b162 + 0.0149429503459551*b6*b164 + 
     1.07167346640465e-7*b6*b165 - 1.28383319432778e-7*b6*b166 + 
     0.0174995586997427*b6*b167 - 6.16518807675195e-8*b6*b168 - 
     0.00385764701193756*b6*b169 - 7.6659607357296e-8*b6*b170 + 
     2.05430992115816*b6*b171 - 6.1961131840886e-8*b6*b172 - 
     1.38524979558392e-8*b6*b173 + 0.032155755263085*b6*b174 + 
     0.00521320622121815*b6*b175 + 1.31388287207583e-9*b6*b176 + 
     2.42257951130317e-7*b6*b178 + 1.56299878228412e-7*b6*b179 + 
     0.0024740185681365*b6*b182 + 7.1860815437484e-8*b6*b183 + 
     1.04682883734406e-7*b6*b184 + 2.47307199575279e-8*b6*b185 - 
     1.02594288756759e-7*b6*b186 - 9.4720002047978e-8*b6*b187 + 
     4.48852114869281e-7*b6*b188 - 6.6888041144073e-8*b6*b189 - 
     0.00537326243428985*b6*b190 + 2.65473813207004e-8*b6*b191 + 
     0.00019010076314782*b6*b192 + 2.19581370142692*b6*b193 + 
     1.53647797448192e-8*b6*b195 + 0.00878158387963885*b6*b196 - 
     0.00127099654693532*b6*b197 - 2.16795629008699e-7*b6*b198 + 
     2.17445240905541e-7*b6*b199 + 7.1025431729949e-8*b6*b200 + 
     3.95048815187184e-9*b7*b8 - 2.93785462592712e-8*b7*b9 + 
     0.00251421102517852*b7*b10 - 1.05504439923889e-8*b7*b12 - 1.64969090928331
     *b7*b13 + 3.24723321516781e-8*b7*b14 - 1.08584924303476e-9*b7*b16 - 
     1.05417124730538e-8*b7*b17 + 0.083156604327155*b7*b18 - 
     3.64301657509896e-8*b7*b19 - 5.35914474810905e-9*b7*b20 + 
     3.44363514551857e-7*b7*b21 + 2.81884583693253e-9*b7*b23 + 
     9.0601798796785e-8*b7*b24 - 4.23783135164876e-8*b7*b25 + 
     1.61893644933738e-8*b7*b26 - 2.76157892265627e-8*b7*b27 - 
     9.7287340098522e-9*b7*b29 + 6.63739848595035e-6*b7*b30 - 
     3.08766470920349e-8*b7*b32 + 2.86738701723792e-7*b7*b33 - 
     1.07399031057477e-7*b7*b34 - 1.8655568959878e-8*b7*b37 + 
     1.84286765006682e-8*b7*b38 + 2.37745107909213e-8*b7*b39 + 
     2.2583111964808e-9*b7*b40 - 2.55226418069902e-8*b7*b41 + 
     1.42697462475337e-8*b7*b42 + 1.62757745406783e-8*b7*b45 - 
     3.14017971810761e-7*b7*b46 + 3.44405035955755e-9*b7*b48 + 
     8.88706812008425e-9*b7*b49 - 2.37739162699813e-9*b7*b50 + 
     2.26024415920152e-8*b7*b52 + 3.73179075233014e-8*b7*b53 - 
     1.04252898206725e-7*b7*b54 - 2.15996407829066e-8*b7*b56 - 
     1.29371839441879e-9*b7*b57 - 2.0806199488631e-5*b7*b59 + 
     8.9984450978129e-8*b7*b60 - 3.20072191568768e-9*b7*b61 + 
     8.8166808119955e-8*b7*b62 - 2.9964744663025e-7*b7*b63 + 
     0.00185798541052448*b7*b64 - 7.05148179031595e-5*b7*b66 - 
     5.2204564736746e-9*b7*b67 + 2.12876928595916e-8*b7*b68 + 
     0.00639113805408525*b7*b69 + 1.25414702758144e-8*b7*b70 - 
     3.535493338138e-9*b7*b71 + 0.0054916049980382*b7*b73 + 1.57080030739644e-8
     *b7*b74 + 2.54359314220494e-8*b7*b75 - 0.00131549455299586*b7*b76 - 
     2.72822775605661e-8*b7*b77 + 5.5257637224546e-9*b7*b78 - 
     4.51401941976425e-8*b7*b80 - 0.0050156939286076*b7*b81 + 
     5.48848988446185e-9*b7*b82 - 2.03601384167222e-8*b7*b83 - 
     4.27234352345447e-9*b7*b84 + 9.5127044917271e-9*b7*b85 - 
     0.0074146151174699*b7*b86 - 0.0012692584962071*b7*b87 - 
     4.80680252496866e-8*b7*b88 + 3.27625852362487e-8*b7*b89 - 
     2.48768443580561e-9*b7*b90 - 1.12940809566871e-9*b7*b91 + 
     2.38111363373503e-8*b7*b92 + 3.40553556439654e-9*b7*b93 + 
     0.00483437307707666*b7*b94 + 1.24364094127405e-8*b7*b95 - 
     0.00695821484155545*b7*b96 - 0.00115649047802563*b7*b97 - 
     0.000279051149757603*b7*b100 - 0.0014824871884886*b7*b101 + 
     0.000248115689616722*b7*b102 - 1.97341558329329e-9*b7*b103 + 
     0.31045189386474*b7*b104 + 0.00978254942268665*b7*b105 + 
     4.84926356245765e-8*b7*b109 + 1.04932576714762e-7*b7*b110 - 
     0.121560798494303*b7*b111 + 3.88090838817443e-9*b7*b112 - 
     1.26963860999264e-8*b7*b113 + 3.42566565309286e-5*b7*b114 - 
     4.12541487599917e-8*b7*b115 - 5.67505124289255e-9*b7*b117 + 
     1.51396717511682e-8*b7*b120 + 0.000490917315126888*b7*b122 + 
     7.41049684363135e-9*b7*b123 - 1.04854159551645e-9*b7*b124 - 
     1.21770343925557e-7*b7*b125 - 2.35471291242887e-9*b7*b126 + 
     0.00158607163134857*b7*b128 - 8.7293922251574e-8*b7*b129 - 
     0.00622315263992205*b7*b130 + 2.01137168365455e-9*b7*b131 - 
     2.69203652221094e-9*b7*b132 - 2.47966543215495e-5*b7*b133 - 
     1.71657685726795e-8*b7*b134 + 5.4544674402658e-8*b7*b136 + 
     2.59029271353137e-8*b7*b137 + 2.00537428172436e-9*b7*b138 + 
     1.25353544885124e-8*b7*b139 - 8.90344033289625e-9*b7*b140 + 
     0.00073887603116259*b7*b142 - 4.85874726302681e-7*b7*b143 - 
     6.25404611873175e-8*b7*b144 - 0.00173836903260227*b7*b146 + 
     2.8978085974498e-9*b7*b147 + 1.0649648979448e-8*b7*b148 + 
     5.44529489605225e-9*b7*b149 - 5.29961646854235e-9*b7*b150 + 
     1.57150826762891e-8*b7*b151 + 6.84504250397035e-8*b7*b153 - 
     2.43509636949657e-9*b7*b154 + 2.06990464888716e-8*b7*b155 - 
     0.0186119199174905*b7*b157 - 1.45317519446029e-8*b7*b158 - 
     5.66674613004115e-8*b7*b159 - 1.02503136413443e-7*b7*b160 - 
     0.0647994471687905*b7*b161 - 3.25772829749711e-8*b7*b162 - 
     2.75562280601932e-9*b7*b163 + 2.79566962513636e-8*b7*b164 - 
     9.3073005178975e-8*b7*b165 - 1.27928852921162e-7*b7*b166 - 
     2.37112923019979e-8*b7*b167 + 4.07032392205728e-9*b7*b168 + 
     4.45272109133625e-8*b7*b169 + 4.53772685178406e-9*b7*b170 - 
     1.19136747988246e-7*b7*b171 - 0.00397146998504487*b7*b172 - 
     1.49677704703185e-8*b7*b173 - 7.455804871406e-9*b7*b174 + 
     4.25264209019382e-9*b7*b176 + 0.0053146004411303*b7*b177 + 
     3.6939803735109e-8*b7*b178 + 1.65990940535431e-8*b7*b179 - 
     2.48930200126478e-8*b7*b182 + 6.52390087263635e-9*b7*b183 - 
     0.00317965962034893*b7*b184 - 9.77450565250055e-9*b7*b185 + 
     1.78538424771909e-7*b7*b186 - 6.512068126372e-8*b7*b187 + 
     1.74785276496785e-8*b7*b188 - 9.21795419372615e-9*b7*b189 + 
     6.99327360167385e-9*b7*b190 + 2.98885552112113e-9*b7*b191 - 
     1.11483468779107e-8*b7*b192 + 2.31220867620314e-6*b7*b193 - 
     1.07351389927291e-8*b7*b195 + 9.5187512670298e-9*b7*b196 + 
     0.0235618172568903*b7*b197 - 0.0235947551893397*b7*b198 + 
     0.0264887481324263*b7*b199 - 5.06239481314585e-9*b7*b200 - 
     6.1352323016855e-6*b8*b9 + 0.0849303114711205*b8*b10 - 1.41145327680741e-7
     *b8*b11 - 1.38434179442529e-6*b8*b12 - 1.56978695353534e-8*b8*b13 + 
     1.96823029240685e-6*b8*b14 - 7.00987492346255e-7*b8*b15 - 
     4.47902112975687e-8*b8*b16 - 6.08338786001235e-6*b8*b17 + 
     1.96267278679244e-7*b8*b18 + 4.63986570778951e-8*b8*b19 - 
     0.129112094519929*b8*b20 + 5.41613742403735e-7*b8*b21 + 
     2.10638084693904e-7*b8*b22 + 3.86047697799142e-7*b8*b23 + 
     3.52837404752478e-7*b8*b24 - 7.0847607922424e-6*b8*b25 + 
     2.97196406243968e-7*b8*b26 - 0.411930495502199*b8*b27 - 
     5.92657669404805e-8*b8*b29 + 1.1953504561043e-6*b8*b30 + 
     0.0149241703022956*b8*b31 + 2.84339261706667e-5*b8*b32 - 
     4.92773527482704e-7*b8*b33 + 0.0297215337565114*b8*b34 - 
     2.81423812373667e-7*b8*b37 - 0.8790090309975*b8*b38 + 5.1752974168861e-8*
     b8*b39 - 0.331987608854164*b8*b40 - 1.74972878245265e-7*b8*b41 - 
     0.000113914868967859*b8*b42 - 7.47713284531005e-8*b8*b44 + 
     4.1776396307915e-6*b8*b45 + 1.28052856928998e-9*b8*b46 + 
     1.50695223381835e-7*b8*b48 - 2.36203475681626e-7*b8*b49 - 
     0.178548132812129*b8*b50 + 5.09516379937475e-6*b8*b52 + 
     3.45540727069589e-7*b8*b53 - 4.74717179264782e-7*b8*b54 + 
     2.9130292187218e-5*b8*b55 + 2.62613780841181e-6*b8*b56 + 
     3.9123177881284e-7*b8*b57 - 3.80904260837391e-6*b8*b59 + 
     5.67242107931385e-6*b8*b60 - 0.246021310413411*b8*b61 + 
     1.12377637624634e-7*b8*b62 - 5.9714192609596e-7*b8*b63 - 0.407990857632819
     *b8*b64 + 1.3723283457454e-7*b8*b65 + 5.94740384211305e-7*b8*b66 + 
     1.12184788800288e-6*b8*b67 + 9.35861000502495e-8*b8*b68 + 
     0.0499125593183715*b8*b69 - 6.19323054284835e-6*b8*b70 + 
     2.18647647704236e-6*b8*b71 + 1.1872336077338e-6*b8*b73 - 
     1.74512101325109e-7*b8*b74 - 1.71469195119895*b8*b75 - 5.1624444161845e-8*
     b8*b76 - 1.010978783105*b8*b77 - 6.64448599033675e-8*b8*b78 + 
     0.0257841286089157*b8*b80 + 4.92030240342234e-5*b8*b81 + 
     4.55281887678187e-7*b8*b82 - 6.71826982382495e-9*b8*b83 - 
     6.4443328700811e-8*b8*b84 + 3.61975258042882e-7*b8*b85 - 
     6.1100054584612e-8*b8*b86 + 7.175585579713e-6*b8*b87 - 2.20719816325942e-7
     *b8*b88 - 1.81793370341359e-6*b8*b89 - 4.69188502263937e-6*b8*b90 + 
     0.508124652159785*b8*b91 + 2.0029090938204e-6*b8*b92 - 1.23721098646984e-6
     *b8*b93 - 5.87299284974475e-7*b8*b94 - 2.89334725136764e-5*b8*b95 - 
     4.76386496863547e-7*b8*b96 + 0.0182772165662226*b8*b97 + 
     6.60030682475995e-7*b8*b101 - 2.8863029878228e-8*b8*b102 + 
     6.47202510010025e-8*b8*b103 - 7.2563310548766e-8*b8*b104 - 
     1.08905708900012e-7*b8*b105 + 0.0114040000035897*b8*b108 + 
     5.17207103687735e-7*b8*b109 + 4.13389752117321e-7*b8*b110 + 
     0.00415914774088027*b8*b111 + 5.0919684073432e-7*b8*b112 + 
     4.63964061755194e-7*b8*b113 - 1.49648669885671e-8*b8*b114 - 
     3.86186964656312e-7*b8*b115 - 0.76025270185802*b8*b117 - 
     1.66007375327808e-6*b8*b119 - 1.17451079829459e-8*b8*b120 - 
     4.98318296921928e-6*b8*b122 - 2.43014687741008e-7*b8*b123 + 
     1.01747231321896e-7*b8*b124 + 2.86025152454806e-8*b8*b125 + 
     0.0187822397881025*b8*b126 - 1.00319401730683e-7*b8*b128 - 
     8.1274197329387e-8*b8*b129 - 4.03015399208501e-5*b8*b130 - 
     1.14499595762479e-6*b8*b131 - 4.62180806893197e-7*b8*b132 - 
     1.35565242385843e-6*b8*b133 + 0.0157530440624981*b8*b134 + 
     9.34513328944405e-7*b8*b136 - 5.9255843130966e-5*b8*b137 - 
     1.18521137530675*b8*b138 - 1.27249992426783*b8*b139 + 0.298320735275924*b8
     *b140 + 0.442816710198404*b8*b142 + 7.86144220693335e-8*b8*b143 - 
     1.51858507762062e-7*b8*b144 + 2.20442927490728e-5*b8*b145 + 
     1.73365651058312e-7*b8*b146 + 0.264353357012517*b8*b147 - 
     2.56729112050799e-6*b8*b148 - 2.68969549014504e-7*b8*b149 - 
     1.40729886380073e-5*b8*b150 + 0.106927920288553*b8*b151 - 0.3826906192021*
     b8*b152 - 4.01955356905853e-7*b8*b153 + 0.0173679630126936*b8*b154 + 
     1.37270545138272*b8*b155 + 1.83453224318943e-7*b8*b157 - 0.458011083413316
     *b8*b158 - 5.34366886560195e-8*b8*b159 + 5.83936789018315e-8*b8*b160 - 
     0.0078019691040623*b8*b161 - 8.1192172337523e-7*b8*b162 + 
     1.56912108783316e-9*b8*b163 + 0.020941057053342*b8*b164 - 0.6332676827344*
     b8*b165 + 0.0366883295234512*b8*b166 - 1.04863959501973e-6*b8*b167 - 
     1.04947345701705e-7*b8*b168 - 2.52240686882184e-7*b8*b169 - 
     0.053641933205152*b8*b170 + 5.66291801561645e-8*b8*b171 + 
     0.0537659788524485*b8*b172 + 3.68486451581491e-6*b8*b173 + 
     2.33014145437149e-6*b8*b174 - 7.3151964743511e-8*b8*b175 + 
     5.5799903206653e-7*b8*b176 - 1.54948505218932e-7*b8*b178 + 
     6.3436922234672e-7*b8*b179 - 1.35999214790279e-7*b8*b182 - 
     2.38410180597096e-7*b8*b183 - 1.94085562904843e-8*b8*b184 + 
     0.177540638082847*b8*b185 + 6.05566477622835e-7*b8*b186 + 1.00110597693967
     *b8*b187 - 1.90616015380048e-7*b8*b188 + 1.94390883922032e-6*b8*b189 + 
     0.146521210640876*b8*b190 + 0.0130799131031218*b8*b191 + 0.085854014967681
     *b8*b192 + 2.81245136559722e-8*b8*b193 - 1.86846687959229e-7*b8*b195 - 
     0.00165931273172654*b8*b196 - 6.90441430469515e-8*b8*b197 + 
     1.50940073347265e-7*b8*b198 + 0.00502102436887345*b8*b199 - 
     4.02346703263503e-7*b8*b200 - 0.00310721871557748*b9*b10 + 
     0.00251907219006453*b9*b11 + 0.0228197304978728*b9*b12 - 
     0.00110502195834369*b9*b13 + 0.121440846945384*b9*b14 + 0.602554521791185*
     b9*b15 - 1.20567740436324e-8*b9*b16 + 0.0804236368482545*b9*b17 - 
     0.0142030584206804*b9*b18 - 3.18365351370399e-8*b9*b19 - 
     0.0628386171937465*b9*b20 + 0.000175517937933064*b9*b21 - 
     9.79090509286905e-8*b9*b22 - 0.00128884455250382*b9*b23 - 
     6.17481309337985e-8*b9*b24 + 0.419628687529794*b9*b25 - 
     1.18981986844416e-8*b9*b26 + 0.108610392902616*b9*b27 + 
     0.00279215686849719*b9*b29 - 0.0169392317876672*b9*b30 - 
     0.000546119354387295*b9*b31 + 0.100611769332733*b9*b32 + 
     0.0194427965917652*b9*b33 - 0.00054761000234452*b9*b34 + 
     1.63395405972359e-9*b9*b35 - 9.05375189036005e-8*b9*b37 + 
     0.00506584951697055*b9*b38 - 4.18978416919312e-5*b9*b39 + 
     0.0171557824470219*b9*b40 + 0.0331984773368681*b9*b41 - 0.134152531942807*
     b9*b42 - 2.3624794592872e-9*b9*b43 + 0.0266248376677565*b9*b44 + 
     0.147345744392486*b9*b45 + 0.000838031473129675*b9*b46 - 0.22610109423674*
     b9*b48 - 4.56067526767226e-8*b9*b49 - 0.0484864987740471*b9*b50 + 
     0.0652165995230315*b9*b52 - 1.09699805470289*b9*b53 + 8.17734831115705e-8*
     b9*b54 - 0.000131039984279444*b9*b55 - 0.0254040913452091*b9*b56 - 
     0.0182209498325138*b9*b57 - 0.0054939126728552*b9*b59 - 0.0689402642017025
     *b9*b60 + 0.0030268468954282*b9*b61 + 0.000792392089030665*b9*b62 + 
     2.30955679471695e-8*b9*b63 - 0.00366862972570211*b9*b64 - 
     0.794716169498005*b9*b65 - 0.00470805083514073*b9*b66 - 0.061133205894026*
     b9*b67 - 0.000379830031918684*b9*b68 + 0.00386773232380324*b9*b69 - 
     0.0684054407567665*b9*b70 + 0.00753543557868035*b9*b71 - 
     0.00223412573398727*b9*b73 - 0.000230545506300208*b9*b74 + 
     0.088611366144894*b9*b75 - 2.3855015064902e-7*b9*b76 - 0.0059359495099244*
     b9*b77 - 0.0593171364185045*b9*b78 + 0.0139631825352193*b9*b80 - 
     0.0280513128272224*b9*b81 - 1.2031074469806*b9*b82 + 1.94304677932658e-5*
     b9*b83 - 2.07312182841802e-8*b9*b84 + 0.0260890179764066*b9*b85 - 
     0.0268674403606283*b9*b86 + 0.000569147846644975*b9*b87 + 
     0.0517376227038645*b9*b88 - 0.0196999897353838*b9*b89 - 0.364740293472301*
     b9*b90 - 0.00292847848905981*b9*b91 + 0.00037722768926977*b9*b92 + 
     0.0220807562308364*b9*b93 + 0.0167145451648649*b9*b94 + 0.377069440086578*
     b9*b95 + 0.00364535704883685*b9*b96 + 0.0234628867289583*b9*b97 - 
     0.0018009939948182*b9*b101 + 8.0923411395239e-8*b9*b102 - 
     3.3114524943869e-8*b9*b103 - 0.0046285413132205*b9*b104 + 
     0.0608913586722635*b9*b105 - 0.000466990000253787*b9*b108 - 
     0.04272083443527*b9*b109 - 0.000586729491517235*b9*b110 - 
     0.00422782681045035*b9*b111 - 0.0140382686964662*b9*b112 - 
     0.00810426178180035*b9*b113 + 0.358579476183418*b9*b114 - 
     0.00035669091731132*b9*b115 - 0.00755609644479875*b9*b117 - 
     0.0412739324497125*b9*b119 + 0.000105514343222064*b9*b120 + 
     0.00274522628037947*b9*b122 + 1.24338985886234e-7*b9*b123 + 
     0.0198880747766801*b9*b124 - 0.00175500617270022*b9*b125 - 
     1.27917572365735e-6*b9*b126 + 0.00118880019075653*b9*b127 - 
     0.0246198695522481*b9*b128 + 0.000376377011984545*b9*b129 + 
     0.0228242286065676*b9*b130 - 0.0481500346972003*b9*b131 - 
     1.21795367604341e-7*b9*b132 + 0.0133979954461721*b9*b133 - 
     0.00481780334868393*b9*b134 - 0.058904888060833*b9*b136 - 
     0.107331662465764*b9*b137 - 0.260861198031306*b9*b138 + 
     7.28002211577915e-6*b9*b139 - 0.00588657206477175*b9*b140 + 
     0.01249883905602*b9*b142 + 0.013013121318129*b9*b143 - 
     0.000407687572776155*b9*b144 - 9.91770208400915e-5*b9*b145 - 
     0.013473078754725*b9*b146 - 0.00967354881787945*b9*b147 - 
     0.0069570603654466*b9*b148 - 0.067126165542026*b9*b149 + 
     0.0340303246155073*b9*b150 - 2.91127233195279e-7*b9*b151 - 
     0.0940967465368615*b9*b152 + 0.000483012249009721*b9*b153 - 
     1.63245088841907e-6*b9*b154 + 0.114829738055978*b9*b155 - 0.63729049679491
     *b9*b157 + 0.0056341271268833*b9*b158 + 0.0196752127773551*b9*b159 - 
     0.936498630723765*b9*b160 - 0.00433948391730429*b9*b161 + 
     0.029218107622518*b9*b162 - 0.0159919631915636*b9*b163 + 
     0.0113913904733652*b9*b164 + 1.72424671730529e-6*b9*b165 - 
     4.38364719437225e-8*b9*b166 - 0.00371020286656827*b9*b167 - 
     0.106583679804039*b9*b168 + 0.000710971468566385*b9*b169 + 
     0.161388777394438*b9*b170 + 7.1407944797191e-9*b9*b171 - 
     0.00196804082892734*b9*b172 + 0.0332799366605629*b9*b173 - 
     0.102791889084561*b9*b174 + 0.000243791534871951*b9*b175 - 
     0.0534582944480815*b9*b176 - 0.00833375703353105*b9*b178 - 
     0.033732506642315*b9*b179 - 0.00038259940739926*b9*b181 - 
     0.000421541414840493*b9*b182 + 0.00416438036413625*b9*b183 - 
     4.85608145834897e-7*b9*b184 - 1.74139586636503*b9*b185 - 
     4.0132819718483e-8*b9*b186 - 2.63703888871643e-6*b9*b187 - 
     4.12336922859116e-8*b9*b188 + 0.0478971364071461*b9*b189 - 
     0.0391149424115012*b9*b190 + 0.0300299980154382*b9*b191 - 
     0.00245249266541449*b9*b192 - 1.05744432775629e-8*b9*b193 - 
     0.00058543000006707*b9*b194 - 0.00058794728007936*b9*b195 - 
     0.113002040201474*b9*b196 - 0.037162710948041*b9*b197 + 0.501257456182015*
     b9*b198 + 1.70631331488762e-6*b9*b199 - 7.19732822793565e-5*b9*b200 + 
     0.0138578691117325*b10*b11 - 9.4850615116682e-7*b10*b12 + 
     0.000990610682620955*b10*b13 + 3.78694698033691e-7*b10*b14 - 
     0.007117813992867*b10*b15 - 3.43475132877901e-8*b10*b16 - 
     0.106761358152484*b10*b17 - 4.95052051391734e-5*b10*b18 - 
     8.65171222452035e-8*b10*b19 + 0.176599044328971*b10*b20 - 
     0.000978870658147065*b10*b21 + 7.00054013513145e-7*b10*b22 - 
     0.0394976356199062*b10*b23 - 1.38823424750523e-7*b10*b24 + 
     0.00438854311249484*b10*b25 + 3.57880949760757e-8*b10*b26 + 
     0.162590008724496*b10*b27 + 6.69132847394005e-8*b10*b29 - 
     0.000153246398935529*b10*b30 - 0.0628536826140425*b10*b31 + 
     0.000109674182180297*b10*b32 + 2.66029188173329e-7*b10*b33 - 
     0.0625803118823515*b10*b34 + 2.25220132734137e-7*b10*b37 - 
     0.106257869130297*b10*b38 - 2.42103630845797e-8*b10*b39 - 
     0.0155532308924331*b10*b40 - 6.30102478144135e-7*b10*b41 - 
     0.000516779722818605*b10*b42 - 1.25612564107426e-9*b10*b43 + 
     0.006471209957043*b10*b44 + 0.00257638964175281*b10*b45 + 
     6.9321787962646e-6*b10*b46 - 9.88826274554885e-8*b10*b48 - 
     1.00115303732055e-7*b10*b49 - 0.00479769687711458*b10*b50 + 
     2.52930234205001e-7*b10*b52 - 5.7064217140268e-7*b10*b53 + 
     5.5242721971797e-8*b10*b54 + 0.000131871022701421*b10*b55 - 
     0.139748798032632*b10*b56 - 1.87954109754894e-7*b10*b57 + 
     0.000485638331343607*b10*b59 - 2.90805274493099e-7*b10*b60 + 
     0.179330525392203*b10*b61 + 9.1794509095139e-9*b10*b62 - 
     7.9402237992699e-8*b10*b63 + 0.0151051324150222*b10*b64 + 
     0.0093881717627323*b10*b65 + 0.000351855134406738*b10*b66 - 
     0.00063924626428359*b10*b67 - 0.0116392107273577*b10*b68 + 
     0.115889737857517*b10*b69 + 0.0687667877784675*b10*b70 - 
     8.4056187428305e-8*b10*b71 - 0.0272925822743842*b10*b73 - 
     4.7564501152164e-8*b10*b74 - 0.080329989185846*b10*b75 + 0.77110942294775*
     b10*b76 - 0.135699820472304*b10*b77 + 0.14750723871867*b10*b78 - 
     0.0432682069630656*b10*b80 + 0.117927200257821*b10*b81 - 
     6.68911526370315e-8*b10*b82 + 7.06041418814105e-8*b10*b83 + 
     5.1573947428818e-8*b10*b84 + 2.28507791930507e-7*b10*b85 + 
     0.100148422672658*b10*b86 + 0.0063075346488932*b10*b87 - 0.107448698517474
     *b10*b88 + 2.64100667779338e-8*b10*b89 - 1.09644270612142e-7*b10*b90 + 
     0.061423200031483*b10*b91 - 0.00087917530865813*b10*b92 + 
     0.121468852686196*b10*b93 - 0.0315281225511862*b10*b94 - 
     0.000147624077245486*b10*b95 + 0.05067617684225*b10*b96 - 
     0.060762764232222*b10*b97 + 3.15057605356725e-9*b10*b100 - 
     0.068198454472123*b10*b101 - 0.00123285234283316*b10*b102 + 
     1.09092922602167e-8*b10*b103 - 0.000186174834285313*b10*b104 - 
     0.063800389269565*b10*b105 + 0.0516280000076235*b10*b108 - 
     2.49784526429829e-7*b10*b109 + 4.90830843068564e-8*b10*b110 - 
     0.00868464522654795*b10*b111 + 3.48876629647369e-7*b10*b112 - 
     0.908030975736965*b10*b113 - 0.000170776122259568*b10*b114 - 
     4.08532090402993e-8*b10*b115 + 0.554163615126135*b10*b117 + 
     8.88696794995945e-8*b10*b119 - 1.88362330223716e-9*b10*b120 - 
     0.0115402466511899*b10*b122 - 4.09596179020315e-8*b10*b123 - 
     0.00226523999139176*b10*b124 + 4.93150284797528e-8*b10*b125 + 
     0.0298631632372896*b10*b126 - 0.0108631172161343*b10*b128 + 
     4.75146614831016e-8*b10*b129 + 0.145856746553765*b10*b130 - 
     0.086813830524975*b10*b131 + 1.20301335587675e-7*b10*b132 + 
     0.000123792075627078*b10*b133 + 0.0185496042943257*b10*b134 + 
     0.122330789135685*b10*b136 - 0.000268983848546971*b10*b137 - 
     1.33236925143707e-6*b10*b138 - 0.117346342516215*b10*b139 - 
     0.217458980548268*b10*b140 + 0.060132259210495*b10*b142 - 
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     2.00797835157473e-9*b31*b193 - 5.7043072163953e-9*b31*b195 - 
     0.000361170511607466*b31*b196 - 7.46112482168865e-9*b31*b197 - 
     1.75913596932245e-8*b31*b198 - 0.00149459321003552*b31*b199 + 
     1.14563339407672e-8*b31*b200 + 0.0302077450297791*b32*b33 + 
     1.09766697375924e-5*b32*b34 - 4.83685756464891e-9*b32*b35 + 
     2.49691174268117e-8*b32*b37 - 0.0236737674881244*b32*b38 + 
     0.000198163247569429*b32*b39 - 0.0718526864437*b32*b40 - 0.156870080892805
     *b32*b41 + 0.63392389034809*b32*b42 + 1.09217392931114e-8*b32*b43 - 
     0.131009551388439*b32*b44 - 0.083426611299569*b32*b45 - 
     0.00396028070426468*b32*b46 + 1.06839898215734*b32*b48 - 
     1.66441628437014e-7*b32*b49 + 0.23857153319756*b32*b50 - 0.308168890992973
     *b32*b52 - 0.70784902185653*b32*b53 - 4.19346244870214e-7*b32*b54 + 
     0.00061919758494443*b32*b55 + 0.120039558608619*b32*b56 + 
     0.086097783886737*b32*b57 + 0.0259601956788756*b32*b59 + 0.325759769202868
     *b32*b60 - 0.0143010293694586*b32*b61 - 0.00374425399557453*b32*b62 + 
     2.38985650499616e-8*b32*b63 - 0.000147862378811496*b32*b64 + 
     0.0018342327356087*b32*b65 - 0.00187557986988902*b32*b66 - 
     0.0171528346063635*b32*b67 + 0.00179479868415476*b32*b68 - 
     0.000488679474873664*b32*b69 + 0.065141757985216*b32*b70 + 
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     0.00108921671022198*b32*b74 - 0.371117301078174*b32*b75 - 
     2.57496604204127e-7*b32*b76 + 0.0277401172831389*b32*b77 - 
     0.0222482938425843*b32*b78 - 0.0936978598907625*b32*b80 + 
     0.132548806990623*b32*b81 - 1.07657537658285e-6*b32*b82 - 
     9.1918627560849e-5*b32*b83 + 5.71837451593305e-9*b32*b84 - 
     0.00052250861570904*b32*b85 + 0.0207306697318088*b32*b86 - 
     0.00268979425085931*b32*b87 - 0.0398645370507413*b32*b88 + 
     0.0930877482752165*b32*b89 + 1.72349577980433*b32*b90 + 0.0136847766175897
     *b32*b91 + 0.00024343043435032*b32*b92 - 0.104337719437597*b32*b93 - 
     0.129559755998834*b32*b94 - 1.77789390871313*b32*b95 - 0.0172279713902498*
     b32*b96 - 0.00296641812706303*b32*b97 + 3.35662378807593e-9*b32*b100 + 
     0.0085102124490259*b32*b101 + 2.17748421614993e-8*b32*b102 - 
     1.16424401501891e-8*b32*b103 + 0.0218706056631592*b32*b104 - 
     0.262729489594112*b32*b105 + 0.00220670000078585*b32*b108 - 
     0.0170187579554163*b32*b109 + 0.00277217776435289*b32*b110 + 
     0.0240517383636803*b32*b111 - 7.9197938883608e-9*b32*b112 - 
     0.00400800582197324*b32*b113 + 0.231377678314873*b32*b114 + 
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     0.012970904739101*b32*b122 + 4.37153801098029e-8*b32*b123 + 
     0.000820581660871135*b32*b124 + 0.0082925886993956*b32*b125 + 
     7.77466084793765e-6*b32*b126 - 0.0056175005647441*b32*b127 + 
     0.116330510960936*b32*b128 - 0.00177820689317617*b32*b129 - 
     0.107852779256994*b32*b130 - 0.0099032816372414*b32*b131 + 
     3.31031174154026e-7*b32*b132 + 0.00533710238117395*b32*b133 + 
     0.0225149682886546*b32*b134 + 0.0453875361590612*b32*b136 + 
     0.50374208973406*b32*b137 - 7.3053735055161e-8*b32*b138 - 
     2.98652249296273e-5*b32*b139 + 0.0803740743937075*b32*b140 - 
     4.21262522671371e-5*b32*b142 + 0.020219094942058*b32*b143 + 
     0.00192643749811737*b32*b144 + 0.00046864319100873*b32*b145 + 
     0.0636662011103655*b32*b146 + 0.000341520517256719*b32*b147 + 
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     0.0674181492156395*b32*b150 + 1.33597182114461e-6*b32*b151 - 
     0.00538710769102075*b32*b152 - 0.00228277118047349*b32*b153 + 
     8.69416967167925e-6*b32*b154 - 0.48090044952211*b32*b155 - 
     0.407437153013281*b32*b157 - 0.0266233945194785*b32*b158 - 
     0.0929710102674735*b32*b159 - 0.604293929646805*b32*b160 + 
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     0.010318836809027*b32*b163 - 0.07633812795733*b32*b164 - 
     7.91239294932255e-6*b32*b165 + 1.24674219769665e-7*b32*b166 + 
     0.105519969221923*b32*b167 - 0.00165311879136022*b32*b168 - 
     0.00335934967167629*b32*b169 - 0.79408657482415*b32*b170 + 
     5.6507053462944e-8*b32*b171 + 6.8338312363824e-5*b32*b172 - 
     0.140230060885093*b32*b173 + 0.485730495812021*b32*b174 - 
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     0.00205945715053334*b32*b183 - 4.07344594409615e-7*b32*b184 + 
     2.18586291114096e-6*b32*b185 + 1.27447420019415e-7*b32*b186 + 
     1.20693266974595e-5*b32*b187 - 1.48547022034534e-7*b32*b188 - 
     0.00496765659345162*b32*b189 + 0.0273213990826639*b32*b190 + 
     0.00352984203875695*b32*b191 + 0.0115951756176059*b32*b192 + 
     8.0641708518904e-9*b32*b193 + 0.00276629999984463*b32*b194 + 
     0.00277812886884039*b32*b195 + 0.533972881104105*b32*b196 + 
     0.14218153580372*b32*b197 + 0.328245123336631*b32*b198 + 
     1.07366324527076e-6*b32*b199 - 4.63287243096517e-5*b32*b200 + 
     0.268890737636278*b33*b34 + 1.49800263359979e-6*b33*b37 - 
     0.0275478168604468*b33*b38 + 0.0315519451473831*b33*b39 + 
     2.73534773593766e-8*b33*b40 - 2.82531260924931e-7*b33*b41 + 
     7.65133239202215e-8*b33*b42 - 2.99271956124263e-8*b33*b43 + 
     0.0210866953190813*b33*b44 - 0.0161209131684024*b33*b45 + 
     0.0329320833003428*b33*b46 + 1.25687097587892e-7*b33*b48 - 
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     0.289730057558873*b33*b54 - 2.34572197467357e-7*b33*b56 - 
     2.22410567790912e-8*b33*b57 + 0.831823022672645*b33*b59 - 
     1.27761983217561e-7*b33*b60 - 5.5109924234619e-7*b33*b61 + 
     6.55331771087575e-8*b33*b62 - 0.377767578943308*b33*b63 - 
     3.77429308666529e-7*b33*b64 - 0.078628345500242*b33*b65 + 
     0.080359619289881*b33*b66 + 0.00646189613787235*b33*b67 + 
     0.000858386642260345*b33*b68 - 3.35376887672111e-8*b33*b69 + 
     0.186109189558875*b33*b70 - 0.12861926496876*b33*b71 + 3.66848024558296e-7
     *b33*b73 + 0.0854891795927605*b33*b74 - 1.46256607288865e-7*b33*b75 + 
     1.3153859338665e-7*b33*b76 + 0.0323651475910298*b33*b77 - 
     0.0417175153909472*b33*b78 - 3.58539062709675e-7*b33*b80 + 
     1.22283108020682e-7*b33*b81 - 9.9208708295742e-8*b33*b82 - 
     0.0146211174434245*b33*b83 + 3.4303645662796e-7*b33*b84 + 
     5.6639318044746e-7*b33*b85 + 0.0260331890873748*b33*b86 + 
     0.303529335331926*b33*b87 - 0.8305401757554*b33*b88 - 4.86591213859142e-8*
     b33*b89 - 4.11936186734467e-7*b33*b90 + 0.0159236160849328*b33*b91 - 
     2.59828385816629e-7*b33*b92 - 3.39445353263016e-7*b33*b93 - 
     0.135380771584199*b33*b94 - 0.0407668480377611*b33*b95 - 0.063336541118495
     *b33*b96 + 2.95992573482904e-8*b33*b97 + 1.15619390850542e-9*b33*b100 - 
     0.0076722757692268*b33*b101 - 9.09808004615115e-7*b33*b102 + 
     6.5672775667267e-7*b33*b103 + 0.0132034999148775*b33*b104 + 
     0.066902690978043*b33*b105 + 0.72917384519409*b33*b109 + 0.260110530363279
     *b33*b110 - 0.410633859729295*b33*b111 - 3.17762616900864e-7*b33*b112 + 
     0.171709002656277*b33*b113 - 1.03292203968091e-8*b33*b114 - 
     0.62733000481033*b33*b115 - 5.24028343396805e-7*b33*b117 + 
     0.0186141025072507*b33*b119 - 0.000300961414152508*b33*b120 + 
     0.0385180573560811*b33*b122 - 2.46589630734067e-6*b33*b123 - 
     0.0351627588284047*b33*b124 + 0.00500644729625285*b33*b125 - 
     6.0091357219578e-6*b33*b126 + 0.0702303922441795*b33*b128 - 
     0.0979923584623075*b33*b129 + 2.52372962832988e-7*b33*b130 + 
     0.0164165166384737*b33*b131 - 3.1656978846072e-9*b33*b132 - 
     0.228678444660184*b33*b133 + 0.0262339565133858*b33*b134 + 
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     6.9412285488876e-7*b33*b138 + 1.83394156899915e-7*b33*b139 + 
     5.14111842578095e-7*b33*b140 + 5.61857867450095e-7*b33*b142 + 
     1.68800899343073*b33*b143 - 0.08185179935692*b33*b144 + 
     1.16467290943834e-9*b33*b145 + 0.0384347267965967*b33*b146 - 
     5.4801228394524e-9*b33*b147 - 1.92817314697213e-7*b33*b148 + 
     0.118679192353732*b33*b149 - 0.067340719200829*b33*b150 + 
     8.9579435917331e-8*b33*b151 + 0.231148365168008*b33*b152 + 
     0.0164612418487329*b33*b153 + 6.66657432666655e-6*b33*b154 - 
     1.45348617384605e-7*b33*b155 + 0.00201252550769966*b33*b157 + 
     1.08547218731627e-7*b33*b158 + 1.64997897947428e-8*b33*b159 + 
     3.29469309404614e-8*b33*b160 + 0.80532815537368*b33*b161 - 
     2.74089960584095e-8*b33*b162 - 3.61484165466592e-7*b33*b164 - 
     5.3054978423465e-7*b33*b165 + 1.68760650953903e-6*b33*b166 + 
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     0.064033505674092*b33*b169 + 0.127818109421795*b33*b170 + 
     1.82416600851457e-7*b33*b171 + 7.2468432795237e-7*b33*b172 - 
     0.165559584491679*b33*b173 - 1.969016711756e-7*b33*b174 - 
     0.000550602110122115*b33*b175 - 3.48217195095383e-7*b33*b176 + 
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     0.0180474843656914*b33*b182 - 0.088234487505762*b33*b183 + 
     2.68836700361886e-7*b33*b184 + 8.0817220843692e-9*b33*b185 + 
     0.464109422628961*b33*b186 - 3.3308002892098e-7*b33*b187 - 
     7.47364816027675e-8*b33*b188 - 0.0278241789292055*b33*b189 - 
     1.23045962916405e-6*b33*b190 + 3.46331560315183e-8*b33*b191 + 
     3.85272807039217e-7*b33*b192 + 6.08311200515115e-7*b33*b193 + 
     6.6564198146507e-7*b33*b195 + 1.43356831080501e-7*b33*b196 + 
     0.0081919219769728*b33*b197 + 0.00255123982384003*b33*b198 - 
     1.60439227599426e-7*b33*b199 + 4.78268407975216e-8*b33*b200 - 
     0.1141110452005*b34*b37 - 0.0882953836607665*b34*b38 + 0.0184127136250595*
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     5.1614342046518e-5*b34*b42 + 4.81153471161578e-9*b34*b43 - 
     0.010240982038402*b34*b44 + 0.000454031915783832*b34*b45 + 
     0.011487791461983*b34*b46 + 3.96253157358166e-8*b34*b48 - 
     0.0113490849245387*b34*b49 - 0.000465546458322066*b34*b50 + 
     0.00681031464945935*b34*b52 - 2.13957093154413e-8*b34*b53 - 
     0.169079984773709*b34*b54 - 0.000614106508447095*b34*b55 - 
     1.96865381177804e-7*b34*b56 - 7.2847505616094e-9*b34*b57 - 
     0.058165380884118*b34*b59 + 5.0369265336097e-8*b34*b60 + 
     0.0627550773906895*b34*b61 + 4.59773621573182e-8*b34*b62 - 
     0.314931983767568*b34*b63 + 0.087194926865586*b34*b64 + 
     0.00165956402908668*b34*b65 + 2.87748737845079e-7*b34*b66 - 
     0.000113296903340987*b34*b67 + 0.00050058857463109*b34*b68 + 
     0.266489850252302*b34*b69 - 0.00393062036501626*b34*b70 - 
     1.68358089518415e-7*b34*b71 - 1.80898560788558e-8*b34*b73 + 
     0.0495048264295454*b34*b74 - 0.0331122658873284*b34*b75 + 
     0.00640242790808615*b34*b76 + 0.012561090297581*b34*b77 - 
     0.0143692388497545*b34*b78 + 0.00471229129610679*b34*b80 - 
     0.155731191955722*b34*b81 + 2.59400507984481e-8*b34*b82 - 
     0.0085323973295067*b34*b83 - 0.0240432393462191*b34*b84 - 
     0.035957236331835*b34*b85 - 0.0050448586380901*b34*b86 + 0.114559914976137
     *b34*b87 + 0.0215330952919052*b34*b88 + 1.27899383710639e-7*b34*b89 + 
     5.92048769787505e-9*b34*b90 + 0.051039875093604*b34*b91 - 
     1.19175580049909e-7*b34*b92 - 5.0564705062686e-7*b34*b93 + 
     0.106199847266167*b34*b94 - 1.487618650496e-5*b34*b95 - 0.0206823051346899
     *b34*b96 - 0.0573449249833235*b34*b97 - 2.40598282785721e-9*b34*b100 - 
     0.00100894988611687*b34*b101 + 3.10738587429991e-7*b34*b102 - 
     7.11723579252885e-9*b34*b103 + 9.22520132349665e-7*b34*b104 - 
     0.05248267559298*b34*b105 + 8.3148190590748e-7*b34*b109 + 
     0.151049934156394*b34*b110 + 0.0638615281979745*b34*b111 + 
     0.00353200143553676*b34*b112 + 1.24039062781658e-7*b34*b113 - 
     1.51378724253266e-8*b34*b114 - 0.0417816055875627*b34*b115 + 
     0.193928347984524*b34*b117 + 0.0107792090510097*b34*b119 + 
     0.000446145080453631*b34*b120 - 1.84610922231976*b34*b122 + 
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     0.00742118194702805*b34*b125 + 0.0254981101922329*b34*b126 + 
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     0.0302695888758692*b34*b130 - 0.0071587619461954*b34*b131 + 
     9.7597750292654e-9*b34*b132 - 1.68495879439096e-7*b34*b133 - 
     0.139200093184893*b34*b134 + 0.0189148129261292*b34*b136 - 
     2.70254361106243e-5*b34*b137 - 4.10311835714251e-7*b34*b138 - 
     0.0410647365541374*b34*b139 - 0.081619107466968*b34*b140 + 
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     0.12125994058969*b34*b144 - 0.000464794613335287*b34*b145 + 
     1.78809501518789e-7*b34*b146 - 0.156698029462861*b34*b147 - 
     0.0173330121196623*b34*b148 - 0.0025047856860966*b34*b149 + 
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     0.00660980551273955*b34*b154 + 0.0160245414405337*b34*b155 - 
     0.083658865902717*b34*b157 + 0.116829663989911*b34*b158 + 
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     0.118857954656085*b34*b161 + 1.21875628562506e-7*b34*b162 + 
     1.05525963602429e-9*b34*b163 + 0.00382709772630167*b34*b164 - 
     0.175789732234017*b34*b165 + 2.48021429911087*b34*b166 - 
     0.0092436863962787*b34*b167 - 0.00149456949673234*b34*b168 - 
     0.0359920041831411*b34*b169 + 0.00154982877024109*b34*b170 - 
     3.42631645851335e-7*b34*b171 - 0.0125415023142063*b34*b172 - 
     1.76709723840654e-7*b34*b173 - 9.18165955437545e-8*b34*b174 - 
     0.00032136854781082*b34*b175 + 0.0038706015723775*b34*b176 + 
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     0.0114139076000803*b34*b182 - 6.3736275661495e-8*b34*b183 + 
     7.18237579097015e-7*b34*b184 + 2.45433382569202e-8*b34*b185 + 
     0.270839410303096*b34*b186 - 0.0911983722362505*b34*b187 - 
     1.19325217935477e-8*b34*b188 + 0.0121329377317449*b34*b189 + 
     0.0267775889381494*b34*b190 - 0.0077536921111791*b34*b191 + 
     0.0477698043113853*b34*b192 + 3.70965234927543e-7*b34*b193 + 
     0.00425440000033951*b34*b194 - 4.99501305808453e-7*b34*b195 - 
     0.00094364913619438*b34*b196 - 0.0015877669830387*b34*b197 - 
     0.106049884858897*b34*b198 - 0.210500312756442*b34*b199 + 
     1.85755155009818e-8*b34*b200 + 6.42453137486615e-9*b35*b39 + 
     1.05881875687324e-9*b35*b42 - 1.79196469613684e-8*b35*b48 - 
     3.36496895778659e-9*b35*b50 - 1.44819613757196e-9*b35*b52 + 
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     1.32758525825095e-9*b35*b80 - 5.99579529221315e-9*b35*b81 + 
     1.10939321543696e-9*b35*b82 + 1.04237207029062e-8*b35*b83 + 
     1.64527816228946e-8*b35*b90 - 3.30665110963602e-9*b35*b95 - 
     2.36953138020233e-9*b35*b113 - 0.61470249631301*b35*b127 - 
     9.75212230247895e-9*b35*b130 - 2.34421116355787e-9*b35*b155 - 
     1.17820532143474e-9*b35*b157 + 1.98628750259452e-9*b35*b164 + 
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     1.91000775658016*b35*b181 + 1.21759160861395e-9*b35*b183 + 
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     5.97508832692845e-8*b37*b62 - 2.44997726378377e-6*b37*b63 - 
     8.69656220258665e-8*b37*b64 - 7.08509391390645e-7*b37*b65 - 
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     1.09870038286722*b37*b84 - 1.06900142829384*b37*b85 + 1.04011152655136e-6*
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     5.7786753484076e-8*b37*b89 - 5.5032637460612e-8*b37*b90 - 
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     1.25359984244016*b38*b91 + 0.58991741190246*b38*b92 - 1.1871812747075e-7*
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     0.166909683717423*b39*b196 - 0.000724288970193735*b39*b197 + 
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     0.0769862610860035*b76*b189 + 6.21922166389515e-7*b76*b190 - 
     5.185214889287e-8*b76*b191 - 6.95322465932475e-8*b76*b192 - 
     2.07498223879671e-8*b76*b193 - 1.21525798410202e-7*b76*b195 + 
     6.52772805999235e-8*b76*b196 + 0.071874987366131*b76*b197 - 
     0.10058839945988*b76*b198 - 0.197509530683596*b76*b199 + 
     0.00241049215117439*b76*b200 - 0.0221296369971149*b77*b78 + 
     0.0444007048886218*b77*b80 + 0.0371109841257801*b77*b81 + 
     9.3015132573821e-8*b77*b82 - 0.00115833550690626*b77*b83 + 
     3.61406731189038e-8*b77*b84 + 0.0020581371300891*b77*b85 + 
     0.064720683897996*b77*b86 - 0.00288102790867882*b77*b87 + 
     0.0159042555096141*b77*b88 - 2.33343124941214e-7*b77*b89 - 
     3.4327895833757e-7*b77*b90 - 0.115097711120225*b77*b91 - 0.69308203384879*
     b77*b92 - 2.02679566308718e-7*b77*b93 + 0.000131104240076218*b77*b94 - 
     0.0369917185161029*b77*b95 - 0.0157988368032552*b77*b96 - 
     0.267530876784536*b77*b97 + 7.8628475244208e-9*b77*b100 - 
     0.00336595526135236*b77*b101 - 0.0062630072632386*b77*b102 + 
     8.5553823726946e-8*b77*b103 + 0.0317759756449243*b77*b104 + 
     0.0024004688705119*b77*b105 - 0.017194999997867*b77*b108 - 
     0.018233888372529*b77*b109 - 0.0119692580971369*b77*b110 + 
     0.0243528443175771*b77*b111 - 6.4079466762583e-8*b77*b112 - 
     0.00429382212223719*b77*b113 + 2.3341962155599e-7*b77*b114 - 
     0.0072753240807804*b77*b115 + 0.649200009868925*b77*b117 - 
     0.00134183477846398*b77*b119 - 0.000185970585541142*b77*b120 - 
     0.00363175350608298*b77*b122 - 3.21239777851508e-7*b77*b123 - 
     0.00296891311242872*b77*b124 + 0.00890586303347635*b77*b125 - 
     0.365449952245581*b77*b126 + 0.133770182358136*b77*b128 - 
     9.33633521873685e-8*b77*b129 + 0.0461969730023399*b77*b130 - 
     0.0109501380338856*b77*b131 + 0.0207631586657284*b77*b132 + 
     0.41094047850634*b77*b133 - 1.76640508361021*b77*b134 - 0.0279183856220303
     *b77*b136 + 0.0330940717026303*b77*b137 + 1.11852059635331e-5*b77*b138 + 
     1.43610332134685*b77*b139 - 0.253870289248901*b77*b140 + 0.405024614158511
     *b77*b142 + 0.0216626004157492*b77*b143 - 0.000709369627876745*b77*b144 - 
     3.32421369624202e-5*b77*b145 + 0.0682129154760895*b77*b146 - 
     0.36435874767732*b77*b147 + 0.00276586556278338*b77*b148 - 
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     0.00776697937728175*b77*b159 - 6.190485756954e-7*b77*b160 + 
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     0.0123460166401339*b77*b163 + 0.0360597059435303*b77*b164 - 
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     1.05527218253179e-7*b77*b171 - 0.0446631862697904*b77*b172 - 
     1.23980326505445*b77*b173 + 5.3457444499375e-7*b77*b174 - 
     2.80326302643811e-9*b77*b175 - 7.0220904201507e-8*b77*b176 - 
     0.00065735544097605*b77*b178 - 0.000288903711370643*b77*b179 - 
     0.0141539869182014*b77*b182 + 0.0022063599831287*b77*b183 + 
     1.94368885383161e-7*b77*b184 - 9.9576393482174e-7*b77*b185 - 
     8.6281386923581e-8*b77*b186 + 0.072246974613681*b77*b187 + 
     2.08839140892865e-7*b77*b188 - 0.0074672011216357*b77*b189 + 
     0.252318216514496*b77*b190 + 0.290551117090796*b77*b191 - 1.65480375778638
     *b77*b192 + 1.31562431299547e-7*b77*b193 - 4.08261409867317e-8*b77*b195 + 
     0.0355131752537311*b77*b196 + 0.0193435180323672*b77*b197 - 
     0.157020312305156*b77*b198 - 0.186179220434193*b77*b199 + 
     0.136050473566919*b77*b200 + 8.78183114234395e-7*b78*b80 + 
     0.109329471668676*b78*b81 - 3.88186081410533e-7*b78*b82 + 
     1.23568654869184e-7*b78*b83 + 5.6508723329417e-7*b78*b84 + 
     0.31183919699775*b78*b85 - 1.00749453231407*b78*b86 - 0.002718312621963*
     b78*b87 + 0.0127831163075152*b78*b88 + 1.61168993577005e-7*b78*b89 + 
     8.97865402723955e-8*b78*b90 - 0.0108875965942853*b78*b91 + 
     2.61027060376039e-7*b78*b92 - 0.013628900182611*b78*b93 - 
     0.128508347216642*b78*b94 + 0.0300256166307824*b78*b95 - 
     0.0167078553962054*b78*b96 + 0.0056656950377314*b78*b97 + 
     1.48848205144995e-8*b78*b100 + 0.0053032431548884*b78*b101 - 
     6.49335114880105e-8*b78*b102 + 2.11987750213783e-8*b78*b103 - 
     0.113091860297534*b78*b104 + 0.0635029000089065*b78*b105 + 
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     0.556659103243185*b78*b113 + 1.16118473503725e-7*b78*b114 - 
     0.00665161709521075*b78*b115 + 7.5076463035268e-7*b78*b117 - 
     0.00122662441677554*b78*b119 + 0.00257780163078866*b78*b120 - 
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     0.0204447642802771*b78*b126 + 0.244411345107504*b78*b128 + 
     3.46713869984418e-7*b78*b129 + 0.135649802250741*b78*b130 + 
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     0.133519732936742*b78*b140 - 0.00362360220299913*b78*b142 - 
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     3.09264102917242e-7*b78*b160 - 0.0837065211480775*b78*b161 - 
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     0.0096576120099885*b78*b166 + 0.223510260042113*b78*b167 - 
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     0.233007937226089*b78*b172 + 0.12194003583648*b78*b173 - 
     1.01829381734655e-6*b78*b174 - 0.000838285742471535*b78*b175 + 
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     4.74509737942918e-7*b78*b185 + 6.3196097625885e-8*b78*b186 + 
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     2.34899379028037*b78*b189 + 2.81774493754856e-6*b78*b190 - 
     5.76200919767855e-9*b78*b191 - 1.12979103221417e-7*b78*b192 - 
     6.24688498187525e-7*b78*b193 + 5.5954332673353e-8*b78*b195 - 
     2.27294828462726e-7*b78*b196 - 0.317019919136048*b78*b197 + 
     0.0088794303491356*b78*b198 + 0.0085398300193058*b78*b199 - 
     8.02233819307735e-8*b78*b200 + 1.29909452939341*b80*b81 + 
     1.26719088875709e-7*b80*b82 - 0.297291803863754*b80*b83 + 
     1.54883950490869e-7*b80*b84 - 0.00357317574887097*b80*b85 - 
     0.10478958632531*b80*b86 - 1.17443475011791e-7*b80*b87 - 
     6.8320082625479e-6*b80*b88 + 0.00588508420469465*b80*b89 + 
     0.000213893419243087*b80*b90 - 0.0236322513455568*b80*b91 + 
     1.08449023029314e-7*b80*b92 + 9.50022899348465e-7*b80*b93 - 
     0.350099438508758*b80*b94 + 0.126708276859948*b80*b95 + 0.052335605114329*
     b80*b96 + 0.00438423566725325*b80*b97 + 1.38132215941498e-8*b80*b100 - 
     0.245639859275102*b80*b101 - 6.26758308777125e-8*b80*b102 - 
     2.896211222191e-8*b80*b103 - 2.80274788828955e-7*b80*b104 - 
     0.70844993831858*b80*b105 - 0.0061071999996652*b80*b108 - 
     0.010368587633728*b80*b109 - 0.00221225664302913*b80*b110 + 
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     2.39813496497545e-8*b80*b113 - 8.4089785094854e-8*b80*b114 - 
     0.00134502933000745*b80*b115 + 0.0431866449915795*b80*b117 + 
     1.68829429234216e-7*b80*b119 - 2.55475414016932e-8*b80*b120 - 
     0.127129315035063*b80*b122 + 0.00957310874801455*b80*b123 + 
     0.0082305011927987*b80*b124 - 6.3739545539703e-8*b80*b125 - 
     0.00403641116018097*b80*b126 - 0.00688700015530165*b80*b127 + 
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     1.0570973399492*b80*b130 - 1.32582181633425e-7*b80*b131 - 
     1.74319816452354e-7*b80*b132 - 0.0229630538627075*b80*b133 + 
     0.00249666037984397*b80*b134 + 7.9772117743677e-6*b80*b136 + 
     0.230767966980173*b80*b137 + 0.0360765835524566*b80*b138 - 
     0.0348337530797923*b80*b139 + 0.06336011464681*b80*b140 + 
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     0.0238760368881582*b80*b144 - 1.17911144754654e-5*b80*b145 + 
     2.80561876498867e-7*b80*b146 - 0.134669860454995*b80*b147 - 
     8.0441764600754e-8*b80*b148 - 0.0277786712034916*b80*b149 - 
     0.108820199188579*b80*b150 - 0.000395291744690356*b80*b151 - 
     0.23142914425446*b80*b152 + 1.07184764525366e-7*b80*b153 - 
     0.003731906119134*b80*b154 - 0.0050763342803952*b80*b155 - 
     9.00449426511645e-9*b80*b157 - 0.097274973771891*b80*b158 - 
     0.258069753633161*b80*b159 + 2.3307721475487e-7*b80*b160 - 
     0.00123746185590739*b80*b161 - 0.357409896433403*b80*b162 + 
     6.26580659496285e-9*b80*b163 + 1.40259223057124*b80*b164 + 
     0.00234117730063421*b80*b165 + 0.0058164328341643*b80*b166 - 
     1.41694952664244e-7*b80*b167 - 0.0160767995932482*b80*b168 - 
     0.00183381724751711*b80*b169 - 0.000104550826359994*b80*b170 + 
     0.0268559890608093*b80*b171 - 0.0273913120803443*b80*b172 - 
     3.81468485804973e-9*b80*b173 + 2.79769106663257e-7*b80*b174 + 
     0.023973957659254*b80*b175 - 0.115719763317515*b80*b176 - 
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     0.638869506232715*b80*b179 + 0.00221639951858768*b80*b181 + 
     5.80772753773855e-8*b80*b182 + 1.23252221851611e-8*b80*b183 - 
     2.63754303350247e-7*b80*b184 - 0.00540418039829055*b80*b185 + 
     2.58077707737784e-7*b80*b186 - 0.00370235861192647*b80*b187 + 
     5.8753471564994e-8*b80*b188 + 2.37905814936058e-7*b80*b189 - 
     0.81154122954294*b80*b190 + 0.00337500164704675*b80*b191 - 
     0.0300498049090142*b80*b192 - 9.07764375931435e-8*b80*b193 - 
     1.54001670561091e-7*b80*b195 - 0.535681105414085*b80*b196 + 
     0.332990246056038*b80*b197 - 3.37239359415665e-7*b80*b198 + 
     0.0007959678665452*b80*b199 - 1.94031716846787e-8*b80*b200 - 
     9.81561947488505e-8*b81*b82 + 0.187469010284007*b81*b83 - 
     9.72369307374105e-8*b81*b84 - 0.00106613026178105*b81*b85 - 
     0.058080339244534*b81*b86 - 0.0125828418449108*b81*b87 - 0.07963514747627*
     b81*b88 - 0.0069306161359569*b81*b89 - 2.3706895324832e-5*b81*b90 + 
     0.0183343123094916*b81*b91 - 0.000651194585640115*b81*b92 + 
     0.0900312879043665*b81*b93 + 0.063334841831323*b81*b94 - 0.179280988588675
     *b81*b95 - 0.0570468780042055*b81*b96 + 0.0329171296579*b81*b97 - 
     4.83855585209394e-8*b81*b100 - 0.0707035976738715*b81*b101 + 
     0.00246002309375634*b81*b102 + 3.25597389043661e-8*b81*b103 + 
     0.000371976695690665*b81*b104 + 0.127060211822389*b81*b105 + 
     0.00450120000030421*b81*b108 - 2.37689288221286e-7*b81*b109 - 
     1.2064494154909e-7*b81*b110 - 0.0219780438066037*b81*b111 + 
     2.1045439223345e-7*b81*b112 - 0.673019887362165*b81*b113 + 
     0.00034045706358789*b81*b114 + 5.60571307188095e-8*b81*b115 + 
     0.000322212991404352*b81*b117 + 0.000130917557361266*b81*b119 - 
     4.89850028710954e-9*b81*b120 + 0.181488862557645*b81*b122 - 
     1.22256484394452e-7*b81*b123 - 0.00314863606369964*b81*b124 + 
     5.17090473342575e-8*b81*b125 + 1.64525281645613e-5*b81*b126 + 
     0.00434279930043199*b81*b127 + 0.05945566262284*b81*b128 + 
     1.05428301758319e-7*b81*b129 - 2.70650151016994*b81*b130 - 
     0.0643457072320485*b81*b131 + 9.2347422870847e-8*b81*b132 - 
     0.00024679188427952*b81*b133 - 0.0902168143022415*b81*b134 + 
     0.090667315046279*b81*b136 - 0.326490706065656*b81*b137 - 
     1.58460264494236e-7*b81*b138 - 6.8214813757959e-5*b81*b139 + 
     0.000111936697927556*b81*b140 - 0.0209748760103929*b81*b142 + 
     8.71933081504115e-8*b81*b143 - 0.00483198579251459*b81*b144 + 
     0.00095593175963395*b81*b145 - 0.0172320486352344*b81*b146 + 
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     0.00093281638813096*b81*b149 + 0.0252911859112587*b81*b150 + 
     2.87759513238612e-6*b81*b151 + 1.65103326642969e-5*b81*b152 - 
     2.39789613930865e-8*b81*b153 + 1.70326996217838e-5*b81*b154 - 
     5.58926128269565e-5*b81*b155 - 0.302539995230765*b81*b157 + 
     0.000194491863641462*b81*b158 + 4.15163619330164e-7*b81*b159 - 
     3.24340290236721e-6*b81*b160 + 0.0408784821687372*b81*b161 + 
     0.0523733228780765*b81*b162 - 8.7193130023337e-8*b81*b163 - 
     1.59959239213566*b81*b164 - 1.70425562018501e-5*b81*b165 + 
     0.189000941615974*b81*b166 + 0.000399219082019809*b81*b167 + 
     1.43270990787495e-7*b81*b168 + 0.0134404608590246*b81*b170 + 
     5.1853032178214e-8*b81*b171 - 0.185791467935419*b81*b172 + 
     1.55897235126764e-7*b81*b173 + 0.000130491348297148*b81*b174 + 
     0.0055378762631806*b81*b175 + 2.30624459668837e-7*b81*b176 - 
     0.0437570024089505*b81*b177 + 0.000340493716086486*b81*b178 - 
     1.17336148943607e-6*b81*b179 - 0.00139760217469645*b81*b181 - 
     1.13366768768611e-8*b81*b182 + 0.345829942125389*b81*b183 - 
     0.0315214118503295*b81*b184 - 5.38238188681695e-7*b81*b185 - 
     5.89522306173685e-8*b81*b186 + 2.7470810796586e-5*b81*b187 - 
     1.92024861488112e-8*b81*b188 + 0.109059320007463*b81*b189 - 
     0.000150535217019089*b81*b190 + 3.43094113299557e-5*b81*b191 - 
     0.0074589457762515*b81*b192 + 5.3209118078905e-8*b81*b193 + 
     0.00564270000010045*b81*b194 - 6.32594614193465e-8*b81*b195 - 
     0.348321915935944*b81*b196 + 0.318636890920534*b81*b197 - 
     0.383525459981923*b81*b198 - 0.753042961398105*b81*b199 - 
     0.00341459660157011*b81*b200 - 4.23723494757324e-9*b82*b83 - 
     2.54743456850791e-8*b82*b84 + 9.0961508004016e-8*b82*b85 - 
     1.46986081421717e-8*b82*b86 + 1.88039196627805e-8*b82*b87 - 
     1.53218865512038e-7*b82*b88 - 5.61575928246775e-8*b82*b89 - 
     2.43609081716366e-6*b82*b90 - 8.0691516721092e-8*b82*b91 + 
     7.11059898103295e-8*b82*b92 + 9.45662252738455e-8*b82*b93 + 
     2.66739093026735e-8*b82*b94 + 1.3066940669571e-6*b82*b95 + 
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     1.00075209862489e-8*b171*b185 + 7.3725879121725e-8*b171*b186 - 
     3.54279774683666e-8*b171*b187 - 3.91384016041706e-7*b171*b188 + 
     7.82141523234395e-8*b171*b189 - 0.00784312498134005*b171*b190 - 
     2.03116506344104e-8*b171*b191 - 8.79956307175595e-9*b171*b192 - 
     1.6828102925658*b171*b193 - 1.94363057776316e-8*b171*b195 - 
     0.00185575026642812*b171*b197 + 1.52084120965408e-7*b171*b198 - 
     1.64030074754122e-7*b171*b199 - 5.3729243991589e-8*b171*b200 + 
     2.73130556589095e-7*b172*b173 - 8.108578642317e-7*b172*b174 - 
     0.0118019596465012*b172*b175 - 2.56665602034281e-7*b172*b176 + 
     5.24274736566095e-8*b172*b178 - 0.0162045300341638*b172*b179 + 
     4.68215698995039e-7*b172*b182 - 0.737029682590085*b172*b183 - 
     0.0249604095772281*b172*b184 - 4.62108445899607e-8*b172*b185 + 
     1.35416404232706e-7*b172*b186 + 0.0296915937141176*b172*b187 + 
     2.5638913166717e-7*b172*b188 - 0.232428062466076*b172*b189 - 
     0.155656968705989*b172*b190 - 0.0214099498664626*b172*b191 + 
     0.086424027127354*b172*b192 - 5.20419591996055e-8*b172*b193 - 
     5.8814153601521e-7*b172*b195 - 0.00130098993130334*b172*b196 + 
     0.216986500838584*b172*b197 - 0.303684717000614*b172*b198 - 
     0.601657891850515*b172*b199 + 0.00727721334128545*b172*b200 + 
     1.0869083733706e-7*b173*b174 - 2.23628758038274e-8*b173*b176 + 
     7.5965299549192e-9*b173*b178 - 0.0098951105043871*b173*b179 - 
     0.0223500571513814*b173*b182 - 0.0112869361898703*b173*b183 + 
     7.49140834014e-8*b173*b184 - 4.67188561208944e-7*b173*b185 - 
     7.13904622989905e-8*b173*b186 - 8.50884196301665e-7*b173*b187 + 
     2.39817981970527e-8*b173*b188 - 0.0070059697932357*b173*b189 - 
     6.13825747469715e-7*b173*b190 + 0.158270129746605*b173*b191 - 
     3.42482294937174e-6*b173*b192 + 6.3773020965259e-8*b173*b193 + 
     3.37262457508886e-8*b173*b195 + 8.39587464376385e-8*b173*b196 - 
     0.103219794562048*b173*b197 - 0.0231591556214533*b173*b198 + 
     4.43087655857233e-7*b173*b199 + 0.0697780674087375*b173*b200 - 
     0.0149680945316375*b174*b175 + 4.52978902966616e-7*b174*b176 - 
     8.0167486983223e-8*b174*b178 - 1.47417889201695e-7*b174*b179 - 
     1.72073594205588e-6*b174*b182 - 1.42078950257193e-7*b174*b183 - 
     1.06052091020999e-7*b174*b184 - 1.66042498191803e-6*b174*b185 + 
     2.31666659098801e-7*b174*b186 - 4.23488274327132e-7*b174*b187 - 
     1.09513100445374e-6*b174*b188 + 6.4977818929046e-7*b174*b189 + 
     6.5673931066239e-8*b174*b190 - 7.9559514964773e-8*b174*b191 + 
     1.22672542647496e-5*b174*b192 - 1.8012835295643e-8*b174*b193 + 
     4.73782052218713e-7*b174*b195 + 0.000523729372999665*b174*b196 - 
     3.59550521248537e-7*b174*b197 + 7.02742892047995e-7*b174*b198 + 
     8.275437544997e-8*b174*b199 + 1.27904574655375e-7*b174*b200 + 
     0.00649608748061625*b175*b176 - 0.0121573386686953*b175*b178 - 
     0.0395521158555826*b175*b179 + 0.0335390195958053*b175*b182 - 
     0.00265179226870912*b175*b183 - 9.7849028149743e-8*b175*b184 + 
     4.88309258661374e-9*b175*b185 + 0.00090971123434327*b175*b186 + 
     2.88957702974962e-8*b175*b187 + 3.06981337742246e-8*b175*b188 - 
     0.000836241481587135*b175*b189 - 0.0070014755451842*b175*b190 - 
     1.24770408349771e-8*b175*b192 + 6.65587254990725e-9*b175*b193 - 
     0.182560044365377*b175*b195 - 8.8074760130445e-9*b175*b196 - 
     0.0199739896353313*b175*b197 - 5.5151547782039e-8*b175*b198 + 
     5.1041516471027e-8*b175*b199 - 0.00398980430986617*b175*b200 + 
     0.058903416707582*b176*b178 + 0.0015968803059884*b176*b179 + 
     9.4852646962703e-7*b176*b182 + 3.68827024390304e-7*b176*b183 - 
     1.88390236059405e-7*b176*b184 - 1.45396899978946e-7*b176*b185 - 
     1.20754366309201e-8*b176*b186 - 1.13421351187003e-7*b176*b187 + 
     6.3881396480733e-7*b176*b188 - 0.392454401308749*b176*b189 + 
     0.0337957344146353*b176*b190 - 2.0309427064455e-8*b176*b191 + 
     7.2883673062301e-8*b176*b192 + 3.52800826140982e-8*b176*b193 - 
     2.68443361222121e-8*b176*b195 + 4.93938310373796e-7*b176*b196 + 
     0.0737509175213605*b176*b197 - 3.28404122824519e-7*b176*b198 + 
     3.50203749796902e-7*b176*b199 - 1.4404776457774e-8*b176*b200 + 
     0.000390699948423368*b177*b192 + 0.018053000101633*b177*b196 + 
     0.0222439608065901*b178*b179 + 2.77558061813672e-7*b178*b182 - 
     5.7539948294686e-8*b178*b183 - 1.22027967492386e-7*b178*b184 - 
     7.67329261937785e-8*b178*b185 - 1.20332749890749e-6*b178*b186 + 
     1.17958978203793e-7*b178*b187 - 6.62769467334375e-8*b178*b188 + 
     0.084110785380347*b178*b189 + 0.00326720752217589*b178*b190 - 
     5.09405874452445e-9*b178*b191 + 2.96704000709784e-5*b178*b192 - 
     3.05538167678091e-7*b178*b193 + 0.0647429999970775*b178*b194 + 
     8.89919654301345e-7*b178*b195 + 0.00137085321185921*b178*b196 - 
     0.010233060985328*b178*b197 - 3.63736307459122e-8*b178*b198 - 
     0.00328634511505848*b178*b199 + 2.23439407422319e-8*b178*b200 - 
     0.049287943805633*b179*b182 - 0.0123305967985286*b179*b183 + 
     1.34060016818157e-6*b179*b184 - 6.61278654894395e-8*b179*b185 - 
     4.94886065435024e-7*b179*b186 + 5.51442487086895e-7*b179*b187 + 
     1.45124874855482e-7*b179*b188 - 0.152100056553882*b179*b189 - 
     0.578994404100715*b179*b190 + 1.454557142008e-8*b179*b191 + 
     1.37526760593605e-8*b179*b192 + 1.61136533479932e-7*b179*b193 + 
     6.1576238449803e-7*b179*b195 + 2.62392000782734e-6*b179*b196 - 
     0.83738921048108*b179*b197 - 8.53501183292525e-7*b179*b198 + 
     7.6045555001217e-7*b179*b199 + 0.00945022401475275*b179*b200 - 
     8.5955890028143e-7*b181*b182 + 1.24790461851043e-5*b181*b192 + 
     4.67343721926851e-6*b181*b195 + 0.00057663014713759*b181*b196 + 
     1.38746824729491e-7*b182*b183 + 3.16270107460029e-7*b182*b184 - 
     8.82058826048865e-8*b182*b185 + 0.0943797070071765*b182*b186 - 
     2.41205347761226e-7*b182*b187 - 0.801592213064595*b182*b188 + 
     1.1313719530689e-6*b182*b189 + 5.18150003467275e-7*b182*b190 + 
     1.21451299126955e-7*b182*b191 - 4.58842438522553e-8*b182*b192 - 
     0.163902042323492*b182*b193 + 0.121309508353167*b182*b195 - 
     1.33046106132048e-7*b182*b196 - 0.0121590401896976*b182*b197 + 
     0.00238766458389099*b182*b198 + 2.18078599026066e-7*b182*b199 - 
     0.0145026586337023*b182*b200 + 2.57524720555344e-7*b183*b184 + 
     5.6647894691378e-9*b183*b185 - 1.98741791663002e-8*b183*b186 + 
     4.85280259859807e-9*b183*b187 + 5.39031345504215e-8*b183*b188 + 
     0.285320314539781*b183*b189 - 1.10123808781907e-8*b183*b190 - 
     8.2795007301527e-9*b183*b191 - 2.58489939985481e-8*b183*b192 + 
     4.04613474523392e-8*b183*b193 - 6.3671665634587e-8*b183*b195 - 
     3.02733816682285e-7*b183*b196 + 0.0316017781324694*b183*b197 + 
     2.77699614725917e-7*b183*b198 + 1.15714698517619e-6*b183*b199 - 
     3.27368504632954e-9*b183*b200 - 1.5696805194029e-7*b184*b185 + 
     1.97106066357388e-8*b184*b186 - 4.30156461297307e-7*b184*b187 - 
     4.06233590888632e-8*b184*b188 - 5.00468042341115e-7*b184*b189 + 
     2.47037321198193e-6*b184*b190 + 6.07898261437015e-8*b184*b191 - 
     7.72009063638445e-7*b184*b192 + 2.25021159650658e-9*b184*b193 + 
     6.9446879459616e-8*b184*b195 + 3.60596836045335e-8*b184*b196 + 
     0.194340547914711*b184*b197 - 0.148289195942925*b184*b198 + 
     0.166470286123661*b184*b199 - 1.79674772257228e-8*b184*b200 + 
     9.6279776494332e-9*b185*b186 - 5.5207771425695e-7*b185*b187 - 
     5.2842498474585e-8*b185*b188 + 4.43203663063164e-7*b185*b189 - 
     0.0307106639409148*b185*b190 + 1.76177595514355e-7*b185*b191 - 
     0.337649662017343*b185*b192 + 1.16614837671364e-8*b185*b193 - 
     2.01104059605795e-8*b185*b195 + 0.00730596681313585*b185*b196 + 
     3.519776320601e-7*b185*b197 + 1.71844650402462e-6*b185*b198 + 
     6.42522811738095e-7*b185*b199 + 4.85593872062102e-8*b185*b200 + 
     6.29247565268555e-7*b186*b187 + 4.06792821906137e-8*b186*b188 - 
     1.31449026195621e-7*b186*b189 - 1.14993456590653e-7*b186*b190 + 
     7.2233526100386e-9*b186*b191 - 3.99154053906756e-8*b186*b192 + 
     1.14721479280493e-6*b186*b193 + 1.39619077287837e-7*b186*b195 - 
     1.08031335703851e-8*b186*b196 - 1.98447352572593e-7*b186*b197 + 
     1.03910863795527e-7*b186*b198 - 2.47458936902798e-8*b186*b199 - 
     6.1727471509014e-8*b186*b200 + 8.2661175763299e-8*b187*b188 - 
     4.6707577500673e-7*b187*b189 - 0.021037214157563*b187*b190 + 
     0.0072239578621485*b187*b191 - 0.080835695634367*b187*b192 - 
     3.63080221839556e-7*b187*b193 + 7.8289593804899e-7*b187*b195 + 
     0.00185920492458374*b187*b196 + 2.26550056325157e-7*b187*b197 + 
     1.5608200473099e-7*b187*b198 + 0.00277287771465921*b187*b199 + 
     9.63705645987125e-8*b187*b200 + 7.2799513576638e-7*b188*b189 + 
     2.92927815145021e-7*b188*b190 + 2.04126465641106e-8*b188*b191 + 
     1.03036009104391e-8*b188*b192 - 2.89923233786863e-7*b188*b193 + 
     4.47125612423243e-8*b188*b195 - 8.8761610137222e-8*b188*b196 - 
     7.3181845032731e-8*b188*b197 - 5.9153005758802e-8*b188*b198 + 
     8.2738694325257e-8*b188*b199 + 4.99982189974184e-8*b188*b200 - 
     1.82144299444395e-6*b189*b190 - 0.071613003610354*b189*b191 + 
     2.05175782783445e-7*b189*b192 - 6.4441440815019e-8*b189*b193 - 
     1.18598779115175e-7*b189*b195 + 3.24315622204208e-7*b189*b196 - 
     0.259529423606281*b189*b197 + 0.0221623991899687*b189*b198 - 
     0.00721236516141255*b189*b199 + 0.00094643606655048*b189*b200 + 
     0.019179146209585*b190*b191 - 0.104844193187353*b190*b192 + 
     1.73538813140419e-8*b190*b193 + 4.83382840390386e-8*b190*b195 + 
     0.00166500675190003*b190*b196 - 0.0972484708220365*b190*b197 + 
     1.9200851875477e-7*b190*b198 + 0.00452465096614824*b190*b199 - 
     1.19285809747285e-8*b190*b200 + 0.0210282681864598*b191*b192 - 
     1.23798602274933e-9*b191*b193 - 5.44731613897165e-9*b191*b195 - 
     0.000316595928059972*b191*b196 - 5.7548605263673e-8*b191*b197 + 
     3.05164216425544e-8*b191*b198 - 0.00131013619022213*b191*b199 - 
     0.0434571359330001*b191*b200 + 1.75324354419917e-8*b192*b193 + 
     0.000491660000045303*b192*b194 + 9.78126265918425e-9*b192*b195 + 
     0.0186180124169018*b192*b196 + 9.19329227757705e-8*b192*b197 + 
     2.29251716010899e-7*b192*b198 + 0.0080706056056926*b192*b199 + 
     3.29741821022844e-7*b192*b200 + 2.56179592087608e-7*b193*b195 + 
     1.02674387490366e-8*b193*b196 + 6.16514093106335e-7*b193*b197 - 
     1.75623598784527e-7*b193*b198 + 2.89919575897624e-7*b193*b199 + 
     3.98130658401086e-8*b193*b200 + 0.022718000000006*b194*b196 - 
     1.1593449920111e-8*b195*b196 + 3.46026856922031e-7*b195*b197 - 
     1.58881860919511e-8*b195*b198 - 2.31642355019695e-8*b195*b199 + 
     6.2892925765102e-9*b195*b200 + 9.20335934928705e-7*b196*b197 + 
     1.01042175321864e-6*b196*b198 - 0.000174312221022068*b196*b199 - 
     1.30932721582917e-8*b196*b200 + 1.43488816873136*b197*b198 - 
     1.61799050110917*b197*b199 + 0.00435454963237873*b197*b200 + 
     2.02548609250748*b198*b199 + 4.28712725022692e-8*b198*b200 - 
     6.71692370285295e-8*b199*b200 - objvar =E= 0;

e2..    b1 + b2 + b3 + b4 + b5 + b6 + b7 + b8 + b9 + b10 + b11 + b12 + b13
      + b14 + b15 + b16 + b17 + b18 + b19 + b20 + b21 + b22 + b23 + b24 + b25
      + b26 + b27 + b28 + b29 + b30 + b31 + b32 + b33 + b34 + b35 + b36 + b37
      + b38 + b39 + b40 + b41 + b42 + b43 + b44 + b45 + b46 + b47 + b48 + b49
      + b50 + b51 + b52 + b53 + b54 + b55 + b56 + b57 + b58 + b59 + b60 + b61
      + b62 + b63 + b64 + b65 + b66 + b67 + b68 + b69 + b70 + b71 + b72 + b73
      + b74 + b75 + b76 + b77 + b78 + b79 + b80 + b81 + b82 + b83 + b84 + b85
      + b86 + b87 + b88 + b89 + b90 + b91 + b92 + b93 + b94 + b95 + b96 + b97
      + b98 + b99 + b100 + b101 + b102 + b103 + b104 + b105 + b106 + b107
      + b108 + b109 + b110 + b111 + b112 + b113 + b114 + b115 + b116 + b117
      + b118 + b119 + b120 + b121 + b122 + b123 + b124 + b125 + b126 + b127
      + b128 + b129 + b130 + b131 + b132 + b133 + b134 + b135 + b136 + b137
      + b138 + b139 + b140 + b141 + b142 + b143 + b144 + b145 + b146 + b147
      + b148 + b149 + b150 + b151 + b152 + b153 + b154 + b155 + b156 + b157
      + b158 + b159 + b160 + b161 + b162 + b163 + b164 + b165 + b166 + b167
      + b168 + b169 + b170 + b171 + b172 + b173 + b174 + b175 + b176 + b177
      + b178 + b179 + b180 + b181 + b182 + b183 + b184 + b185 + b186 + b187
      + b188 + b189 + b190 + b191 + b192 + b193 + b194 + b195 + b196 + b197
      + b198 + b199 + b200 =L= 66.6666666666667;

e3..    434*b1 + 387*b2 + 77*b3 + 732*b4 + 957*b5 + 219*b6 + 905*b7 + 781*b8
      + 873*b9 + 749*b10 + 264*b11 + 767*b12 + 816*b13 + 342*b14 + 191*b15
      + 12*b16 + 5*b17 + 649*b18 + 302*b19 + 490*b20 + 36*b21 + 581*b22
      + 260*b23 + 810*b24 + 930*b25 + 442*b26 + 815*b27 + 961*b28 + 35*b29
      + 822*b30 + 484*b31 + 419*b32 + 553*b33 + 50*b34 + 966*b35 + 18*b36
      + 135*b37 + 933*b38 + b39 + 524*b40 + 523*b41 + 122*b42 + 599*b43
      + 592*b44 + 594*b45 + 307*b46 + 496*b47 + 994*b48 + 299*b49 + 712*b50
      + 886*b51 + 461*b52 + 283*b53 + 56*b54 + 805*b55 + 670*b56 + 642*b57
      + 819*b58 + 292*b59 + 539*b60 + 99*b61 + 316*b62 + 180*b63 + 289*b64
      + 32*b65 + 404*b66 + 62*b67 + 89*b68 + 535*b69 + 766*b70 + 844*b71
      + 581*b72 + 392*b73 + 366*b74 + 777*b75 + 390*b76 + 190*b77 + 160*b78
      + 835*b79 + 734*b80 + 878*b81 + 996*b82 + 224*b83 + 631*b84 + 983*b85
      + 780*b86 + 656*b87 + 466*b88 + 745*b89 + 315*b90 + 548*b91 + 627*b92
      + 93*b93 + 547*b94 + 920*b95 + 443*b96 + 16*b97 + 282*b98 + 398*b99
      + 638*b100 + 715*b101 + 66*b102 + 816*b103 + 320*b104 + 247*b105
      + 584*b106 + 934*b107 + 137*b108 + 295*b109 + 856*b110 + 219*b111
      + 35*b112 + 352*b113 + 732*b114 + 348*b115 + 239*b116 + 507*b117
      + 116*b118 + 144*b119 + 973*b120 + 532*b121 + 205*b122 + 481*b123
      + 322*b124 + 50*b125 + 264*b126 + 982*b127 + 756*b128 + 404*b129
      + 182*b130 + 449*b131 + 150*b132 + 607*b133 + 168*b134 + 255*b135
      + 167*b136 + 717*b137 + 297*b138 + 3*b139 + 639*b140 + 79*b141 + 398*b142
      + 520*b143 + 567*b144 + 902*b145 + 287*b146 + 289*b147 + 469*b148
      + 272*b149 + 202*b150 + 325*b151 + 988*b152 + 550*b153 + 443*b154
      + 812*b155 + 554*b156 + 192*b157 + 731*b158 + 809*b159 + 743*b160
      + 715*b161 + 298*b162 + 833*b163 + 318*b164 + 148*b165 + 367*b166
      + 77*b167 + 897*b168 + 675*b169 + 651*b170 + 138*b171 + 806*b172
      + 852*b173 + 767*b174 + 927*b175 + 700*b176 + 457*b177 + 63*b178
      + 904*b179 + 125*b180 + 45*b181 + 98*b182 + 380*b183 + 210*b184
      + 251*b185 + 228*b186 + 407*b187 + 584*b188 + 678*b189 + 7*b190
      + 391*b191 + 696*b192 + 844*b193 + 404*b194 + 212*b195 + 349*b196
      + 545*b197 + 742*b198 + 448*b199 + 375*b200 =L= 70990.5;

e4..    387*b1 + 538*b2 + 421*b3 + 782*b4 + 138*b5 + 536*b6 + 384*b7 + 311*b8
      + 974*b9 + 186*b10 + 321*b11 + 520*b12 + 141*b13 + 461*b14 + 826*b15
      + 935*b16 + 940*b17 + 196*b18 + 802*b19 + 529*b20 + 707*b21 + 379*b22
      + 407*b23 + 546*b24 + 220*b25 + 857*b26 + 335*b27 + 851*b28 + 474*b29
      + 677*b30 + 867*b31 + 118*b32 + 502*b33 + 499*b34 + 82*b35 + 797*b36
      + 529*b37 + 282*b38 + 449*b39 + 748*b40 + 586*b41 + 975*b42 + 246*b43
      + 936*b44 + 59*b45 + 389*b46 + 433*b47 + 877*b48 + 147*b49 + 279*b50
      + 775*b51 + 754*b52 + 7*b53 + 349*b54 + 485*b55 + 897*b56 + 281*b57
      + 936*b58 + 691*b59 + 118*b60 + 715*b61 + 310*b62 + 801*b63 + 522*b64
      + 960*b65 + 724*b66 + 222*b67 + 675*b68 + 104*b69 + 897*b70 + 370*b71
      + 123*b72 + 64*b73 + 176*b74 + 9*b75 + 506*b76 + 296*b77 + 584*b78
      + 543*b79 + 710*b80 + 454*b81 + 205*b82 + 192*b83 + 562*b84 + 517*b85
      + 874*b86 + 474*b87 + 190*b88 + 995*b89 + 990*b90 + 724*b91 + 339*b92
      + 686*b93 + 182*b94 + 985*b95 + 193*b96 + 359*b97 + 344*b98 + 498*b99
      + 739*b100 + 882*b101 + 580*b102 + 327*b103 + 158*b104 + 452*b105
      + 367*b106 + 628*b107 + 123*b108 + 210*b109 + 226*b110 + 491*b111
      + 268*b112 + 558*b113 + 881*b114 + 331*b115 + 680*b116 + 62*b117
      + 635*b118 + 5*b119 + 493*b120 + 845*b121 + 559*b122 + 8*b123 + 487*b124
      + 992*b125 + 237*b126 + 919*b127 + 33*b128 + 194*b129 + 153*b130
      + 69*b131 + 320*b132 + 548*b133 + 473*b134 + 365*b135 + 919*b136
      + 505*b137 + 402*b138 + 943*b139 + 205*b140 + 143*b141 + 797*b142
      + 752*b143 + 440*b144 + 963*b145 + 310*b146 + 636*b147 + 447*b148
      + 723*b149 + 908*b150 + 42*b151 + 992*b152 + 258*b153 + 846*b154
      + 598*b155 + 854*b156 + 233*b157 + 849*b158 + 695*b159 + 559*b160
      + 82*b161 + 253*b162 + 437*b163 + 708*b164 + 942*b165 + 907*b166
      + 766*b167 + 147*b168 + 744*b169 + 383*b170 + 157*b171 + 228*b172
      + 455*b173 + 705*b174 + 507*b175 + 834*b176 + 291*b177 + 776*b178
      + 343*b179 + 563*b180 + 20*b181 + 336*b182 + 986*b183 + 642*b184
      + 470*b185 + 833*b186 + 671*b187 + 628*b188 + 648*b189 + 679*b190
      + 74*b191 + 244*b192 + 942*b193 + 181*b194 + 278*b195 + 296*b196
      + 279*b197 + 332*b198 + 681*b199 + 499*b200 =L= 75159;

e5..    559*b1 + 246*b2 + 312*b3 + 741*b4 + 917*b5 + 382*b6 + 682*b7 + 898*b8
      + 503*b9 + 787*b10 + 244*b11 + 708*b12 + 524*b13 + 709*b14 + 538*b15
      + 844*b16 + 821*b17 + 214*b18 + 82*b19 + 265*b20 + 363*b21 + 359*b22
      + 183*b23 + 977*b24 + 84*b25 + 148*b26 + 112*b27 + 755*b28 + 890*b29
      + 946*b30 + 632*b31 + 116*b32 + 565*b33 + 653*b34 + 227*b35 + 493*b36
      + 100*b37 + 255*b38 + 94*b39 + 403*b40 + 318*b41 + 759*b42 + 149*b43
      + 335*b44 + 324*b45 + 449*b46 + 725*b47 + 520*b48 + 742*b49 + 412*b50
      + 245*b51 + 782*b52 + 734*b53 + 822*b54 + 340*b55 + 588*b56 + 783*b57
      + 464*b58 + 676*b59 + 917*b60 + 170*b61 + 323*b62 + 767*b63 + 929*b64
      + 2*b65 + 241*b66 + 859*b67 + 130*b68 + 552*b69 + 853*b70 + 737*b71
      + 30*b72 + 953*b73 + 68*b74 + 815*b75 + 662*b76 + 631*b77 + 856*b78
      + 792*b79 + 847*b80 + 988*b81 + 610*b82 + 865*b83 + 924*b84 + 87*b85
      + 985*b86 + 722*b87 + 479*b88 + 31*b89 + 164*b90 + 793*b91 + 384*b92
      + 845*b93 + 441*b94 + 939*b95 + 287*b96 + 453*b97 + 24*b98 + 84*b99
      + 940*b100 + 461*b101 + 877*b102 + 302*b103 + 534*b104 + 385*b105
      + 163*b106 + 980*b107 + 742*b108 + 455*b109 + 970*b110 + 524*b111
      + 25*b112 + 519*b113 + 291*b114 + 635*b115 + 562*b116 + 24*b117
      + 175*b118 + 826*b119 + 411*b120 + 250*b121 + 497*b122 + 482*b123
      + 324*b124 + 508*b125 + 215*b126 + 102*b127 + 407*b128 + 569*b129
      + 816*b130 + 510*b131 + 952*b132 + 755*b133 + 506*b134 + 369*b135
      + 721*b136 + 142*b137 + 490*b138 + 916*b139 + 18*b140 + 996*b141
      + 453*b142 + 980*b143 + 862*b144 + 324*b145 + 1000*b146 + 461*b147
      + 199*b148 + 266*b149 + 91*b150 + 746*b151 + 908*b152 + 479*b153
      + 636*b154 + 424*b155 + 704*b156 + 849*b157 + 924*b158 + 862*b159
      + 880*b160 + 968*b161 + 141*b162 + 109*b163 + 541*b164 + 826*b165
      + 89*b166 + 839*b167 + 127*b168 + 507*b169 + 912*b170 + 582*b171
      + 648*b172 + 457*b173 + 414*b174 + 986*b175 + 99*b176 + 863*b177
      + 831*b178 + 41*b179 + 146*b180 + 722*b181 + 447*b182 + 757*b183
      + 909*b184 + 516*b185 + 443*b186 + 630*b187 + 252*b188 + 37*b189
      + 81*b190 + 256*b191 + 344*b192 + 501*b193 + 397*b194 + 311*b195
      + 45*b196 + 676*b197 + 347*b198 + 387*b199 + 583*b200 =L= 77923.5;

e6..    459*b1 + 644*b2 + 747*b3 + 10*b4 + 248*b5 + 330*b6 + 209*b7 + 777*b8
      + 126*b9 + 215*b10 + 717*b11 + 584*b12 + 962*b13 + 427*b14 + 908*b15
      + 444*b16 + 29*b17 + 966*b18 + 916*b19 + 270*b20 + 314*b21 + 526*b22
      + 125*b23 + 377*b24 + 260*b25 + 553*b26 + 153*b27 + 433*b28 + 573*b29
      + 874*b30 + 512*b31 + 72*b32 + 989*b33 + 218*b34 + 140*b35 + 132*b36
      + 441*b37 + 114*b38 + 301*b39 + 401*b40 + 810*b41 + 617*b42 + 839*b43
      + 509*b44 + 177*b45 + 896*b46 + 276*b47 + 611*b48 + 107*b49 + 796*b50
      + 652*b51 + 481*b52 + 352*b53 + 702*b54 + 625*b55 + 331*b56 + 535*b57
      + 69*b58 + 625*b59 + 800*b60 + 963*b61 + 227*b62 + 437*b63 + 477*b64
      + 579*b65 + 950*b66 + 525*b67 + 223*b68 + 277*b69 + 315*b70 + 316*b71
      + 754*b72 + 912*b73 + 549*b74 + 671*b75 + 536*b76 + 530*b77 + 448*b78
      + 748*b79 + 535*b80 + 989*b81 + 973*b82 + 720*b83 + 628*b84 + 968*b85
      + 352*b86 + 696*b87 + 18*b88 + 920*b89 + 468*b90 + 202*b91 + 468*b92
      + 835*b93 + 284*b94 + 303*b95 + 697*b96 + 479*b97 + 42*b98 + 429*b99
      + 684*b100 + 651*b101 + 209*b102 + 330*b103 + 998*b104 + 681*b105
      + 571*b106 + 348*b107 + 999*b108 + 169*b109 + 842*b110 + 68*b111
      + 900*b112 + 325*b113 + 738*b114 + 443*b115 + 853*b116 + 31*b117
      + 537*b118 + 966*b119 + 488*b120 + 872*b121 + 209*b122 + 433*b123
      + 3*b124 + 743*b125 + 681*b126 + 805*b127 + 265*b128 + 882*b129
      + 832*b130 + 624*b131 + 853*b132 + 193*b133 + 292*b134 + 514*b135
      + 510*b136 + 456*b137 + 874*b138 + 674*b139 + 737*b140 + 210*b141
      + 447*b142 + 469*b143 + 356*b144 + 824*b145 + 876*b146 + 934*b147
      + 640*b148 + 122*b149 + 217*b150 + 859*b151 + 732*b152 + 356*b153
      + 282*b154 + 216*b155 + 680*b156 + 493*b157 + 59*b158 + 750*b159
      + 495*b161 + 269*b162 + 225*b163 + 197*b164 + 677*b165 + 369*b166
      + 14*b167 + 97*b168 + 430*b169 + 413*b170 + 298*b171 + 129*b172
      + 690*b173 + 61*b174 + 132*b175 + 684*b176 + 166*b177 + 992*b178
      + 58*b179 + 976*b180 + 712*b181 + 74*b182 + 497*b183 + 160*b184
      + 901*b185 + 573*b186 + 718*b187 + 824*b188 + 608*b189 + 756*b190
      + 967*b191 + 12*b192 + 310*b193 + 385*b194 + 949*b195 + 27*b196
      + 369*b197 + 741*b198 + 617*b199 + 550*b200 =L= 75507;

e7..    116*b1 + 407*b2 + 841*b3 + 402*b4 + 921*b5 + 517*b6 + 423*b7 + 610*b8
      + 17*b9 + 663*b10 + 850*b11 + 572*b12 + 119*b13 + 681*b14 + 459*b15
      + 227*b16 + 964*b17 + 596*b18 + 837*b19 + 982*b20 + 127*b21 + 978*b22
      + 807*b23 + 475*b24 + 241*b25 + 469*b26 + 176*b27 + 663*b28 + 739*b29
      + 97*b30 + 514*b31 + 690*b32 + 222*b33 + 716*b34 + 915*b35 + 255*b36
      + 439*b37 + 22*b38 + 977*b39 + 412*b40 + 426*b41 + 298*b42 + 537*b43
      + 189*b44 + 464*b45 + 279*b46 + 660*b47 + 332*b48 + 241*b49 + 879*b50
      + 189*b51 + 924*b52 + 442*b53 + 390*b54 + 770*b55 + 262*b56 + 426*b57
      + 265*b58 + 90*b59 + 384*b60 + 937*b61 + 449*b62 + 403*b63 + 117*b64
      + 366*b65 + 108*b66 + 213*b67 + 683*b68 + 340*b69 + 408*b70 + 414*b71
      + 472*b72 + 848*b73 + 14*b74 + 176*b75 + 841*b76 + 218*b77 + 647*b78
      + 375*b79 + 781*b80 + 116*b81 + 118*b82 + 283*b83 + 487*b84 + 570*b85
      + 712*b86 + 962*b87 + 196*b88 + 791*b89 + 434*b90 + 873*b91 + 247*b92
      + 293*b93 + 409*b94 + 363*b95 + 342*b96 + 879*b97 + 640*b98 + 232*b99
      + 15*b100 + 394*b101 + 730*b102 + 514*b103 + 528*b104 + 109*b105
      + 291*b106 + 18*b107 + 552*b108 + 586*b109 + 713*b110 + 774*b111
      + 87*b112 + 627*b113 + 575*b114 + 269*b115 + 427*b116 + 579*b117
      + 975*b118 + 203*b119 + 619*b120 + 659*b121 + 554*b122 + 756*b123
      + 479*b124 + 520*b125 + 258*b126 + 76*b127 + 248*b128 + 970*b129
      + 737*b130 + 240*b131 + 721*b132 + 749*b133 + 343*b134 + 94*b135
      + 423*b136 + 694*b137 + 365*b138 + 718*b139 + 290*b140 + 782*b141
      + 356*b142 + 775*b143 + 403*b144 + 204*b145 + 352*b146 + 687*b147
      + 816*b148 + 664*b149 + 252*b150 + 15*b151 + 784*b152 + 796*b153
      + 998*b154 + 371*b155 + 659*b156 + 73*b157 + 599*b158 + 530*b159
      + 749*b160 + 280*b161 + 540*b162 + 925*b163 + 462*b164 + 812*b165
      + 834*b166 + 609*b167 + 207*b168 + 597*b169 + 194*b170 + 394*b171
      + 546*b172 + 742*b173 + 295*b174 + 856*b175 + 215*b176 + 149*b177
      + 102*b178 + 484*b179 + 943*b180 + 342*b181 + 659*b182 + 612*b183
      + 652*b184 + 920*b185 + 591*b186 + 230*b187 + 576*b188 + 198*b189
      + 876*b190 + 72*b191 + 529*b192 + 656*b193 + 886*b194 + 737*b195
      + 186*b196 + 555*b197 + 38*b198 + 144*b199 + 423*b200 =L= 73315.5;

e8..    767*b1 + 686*b2 + 830*b3 + 136*b4 + 156*b5 + 536*b6 + 830*b7 + 596*b8
      + 86*b9 + 783*b10 + 401*b11 + 298*b12 + 882*b13 + 659*b14 + 568*b15
      + 245*b16 + 160*b17 + 34*b18 + 372*b19 + 143*b20 + 184*b21 + 94*b22
      + 794*b23 + 394*b24 + 246*b25 + 310*b26 + 155*b27 + 868*b28 + 153*b29
      + 911*b30 + 446*b31 + 463*b32 + 750*b33 + 76*b34 + 488*b35 + 982*b36
      + 223*b37 + 485*b38 + 411*b39 + 61*b40 + 277*b41 + 810*b42 + 361*b43
      + 965*b44 + 232*b45 + 808*b46 + 110*b47 + 112*b48 + 379*b49 + 131*b50
      + 94*b51 + 378*b52 + 331*b53 + 748*b54 + 500*b55 + 897*b56 + 875*b57
      + 446*b58 + 144*b59 + 115*b60 + 29*b61 + 602*b62 + 765*b63 + 85*b64
      + 997*b65 + 263*b66 + 202*b67 + 840*b68 + 671*b69 + 669*b70 + 172*b71
      + 167*b72 + 313*b73 + 325*b74 + 761*b75 + 590*b76 + 15*b77 + 615*b78
      + 751*b79 + 940*b80 + 276*b81 + 994*b82 + 535*b83 + 918*b84 + 193*b85
      + 793*b86 + 172*b87 + 897*b88 + 404*b89 + 346*b90 + 303*b91 + 396*b92
      + 340*b93 + 291*b94 + 560*b95 + 90*b96 + 56*b97 + 68*b98 + 825*b99
      + 421*b100 + 672*b101 + 375*b102 + 829*b103 + 816*b104 + 260*b105
      + 519*b106 + 484*b107 + 410*b108 + 208*b109 + 655*b110 + 383*b111
      + 599*b112 + 962*b113 + 923*b114 + 858*b115 + 765*b116 + 536*b117
      + 95*b118 + 247*b119 + 683*b120 + 807*b121 + 190*b122 + 168*b123
      + 169*b124 + 949*b125 + 544*b126 + 65*b127 + 196*b128 + 961*b129
      + 696*b130 + 258*b131 + 602*b132 + 938*b133 + 234*b134 + 935*b135
      + 241*b136 + 838*b137 + 572*b138 + 481*b139 + 789*b140 + 928*b141
      + 765*b142 + 222*b143 + 2*b144 + 989*b145 + 756*b146 + 997*b147
      + 596*b148 + 955*b149 + 825*b150 + 485*b151 + 287*b152 + 22*b153
      + 20*b154 + 650*b155 + 194*b156 + 879*b157 + 377*b158 + 700*b159
      + 792*b160 + 793*b161 + 12*b162 + 378*b163 + 344*b164 + 158*b165
      + 19*b166 + 751*b167 + 679*b168 + 377*b169 + 411*b170 + 332*b171
      + 335*b172 + 288*b173 + 436*b174 + 381*b175 + 609*b176 + 593*b177
      + 526*b178 + 380*b179 + 628*b180 + 696*b181 + 652*b182 + 210*b183
      + 284*b184 + 398*b185 + 214*b186 + 15*b187 + 697*b188 + 372*b189
      + 926*b190 + 354*b191 + 965*b192 + 645*b193 + 500*b194 + 371*b195
      + 865*b196 + 753*b197 + 767*b198 + 654*b199 + 789*b200 =L= 73451.25;

e9..    880*b1 + 614*b2 + 548*b3 + 750*b4 + 672*b5 + 797*b6 + 251*b7 + 277*b8
      + 686*b9 + 765*b10 + 896*b11 + 450*b12 + 639*b13 + 988*b14 + 861*b15
      + 233*b16 + 199*b17 + 485*b18 + 27*b19 + 481*b20 + 565*b21 + 65*b22
      + 751*b23 + 763*b24 + 295*b25 + 581*b26 + 968*b27 + 912*b28 + 672*b29
      + b30 + 556*b31 + 775*b32 + 888*b33 + 539*b34 + 608*b35 + 28*b36
      + 617*b37 + 715*b38 + 796*b39 + 772*b40 + 846*b41 + 660*b42 + 592*b43
      + 661*b44 + 310*b45 + 649*b46 + 57*b47 + 944*b48 + 475*b49 + 356*b50
      + 696*b51 + 181*b52 + 477*b53 + 661*b54 + 302*b55 + 437*b56 + 153*b57
      + 924*b58 + 372*b59 + 980*b60 + 240*b61 + 218*b62 + 171*b63 + 806*b64
      + 870*b65 + 539*b66 + 870*b67 + 87*b68 + 508*b69 + 18*b70 + 794*b71
      + 1000*b72 + 871*b73 + 150*b74 + 367*b75 + 440*b76 + 105*b77 + 732*b78
      + 115*b79 + 609*b80 + 571*b81 + 458*b82 + 739*b83 + 302*b84 + 77*b85
      + 234*b86 + 35*b87 + 605*b88 + 653*b89 + 820*b90 + 786*b91 + 927*b92
      + 644*b93 + 101*b94 + 932*b95 + 324*b96 + 423*b97 + 280*b98 + 152*b99
      + 324*b100 + 266*b101 + 182*b102 + 389*b103 + 615*b104 + 240*b105
      + 723*b106 + 885*b107 + 140*b108 + 734*b109 + 183*b110 + 432*b111
      + 246*b112 + 688*b113 + 188*b114 + 209*b115 + 57*b116 + 123*b117
      + 381*b118 + 461*b119 + 317*b120 + 555*b121 + 284*b122 + 648*b123
      + 71*b124 + 114*b125 + 988*b126 + 948*b127 + 219*b128 + 897*b129
      + 119*b130 + 636*b131 + 604*b132 + 852*b133 + 497*b134 + 372*b135
      + 103*b136 + 963*b137 + 313*b138 + 852*b139 + 144*b140 + 271*b141
      + 488*b142 + 728*b143 + 794*b144 + 723*b145 + 809*b146 + 271*b147
      + 876*b148 + 688*b149 + 831*b150 + 106*b151 + 208*b152 + 288*b153
      + 589*b154 + 986*b155 + 920*b156 + 900*b157 + 896*b158 + 448*b159
      + 135*b160 + 818*b161 + 637*b162 + 514*b163 + 240*b164 + 301*b165
      + 302*b166 + 282*b167 + 477*b168 + 61*b169 + 476*b170 + 793*b171
      + 687*b172 + 431*b173 + 698*b174 + 631*b175 + 630*b176 + 860*b177
      + 613*b178 + 207*b179 + 616*b180 + 767*b181 + 789*b182 + 998*b183
      + 309*b184 + 258*b185 + 212*b186 + 962*b187 + 678*b188 + 689*b189
      + 73*b190 + 26*b191 + 752*b192 + 125*b193 + 300*b194 + 607*b195
      + 672*b196 + 84*b197 + 924*b198 + 876*b199 + 817*b200 =L= 77835.75;

e10..    371*b1 + 904*b2 + 15*b3 + 315*b4 + 996*b5 + 113*b6 + 276*b7 + 767*b8
       + 145*b9 + 911*b10 + 649*b11 + 299*b12 + 384*b13 + 301*b14 + 15*b15
       + 936*b16 + 122*b17 + 387*b18 + 177*b19 + 409*b20 + 856*b21 + 811*b22
       + 875*b23 + 384*b24 + 520*b25 + 101*b26 + 877*b27 + 126*b28 + 379*b29
       + 698*b30 + 497*b31 + 43*b32 + 540*b33 + 518*b34 + 797*b35 + 887*b36
       + 434*b37 + 133*b38 + 829*b39 + 398*b40 + 228*b41 + 288*b42 + 41*b43
       + 855*b44 + 396*b45 + 335*b46 + 929*b47 + 406*b48 + 448*b49 + 841*b50
       + 226*b51 + 343*b52 + 195*b53 + 478*b54 + 470*b55 + 557*b56 + 276*b57
       + 670*b58 + 498*b59 + 977*b60 + 587*b61 + 875*b62 + 916*b63 + 845*b64
       + 70*b65 + 607*b66 + 363*b67 + 865*b68 + 416*b69 + 129*b70 + 97*b71
       + 884*b72 + 512*b73 + 455*b74 + 286*b75 + 961*b76 + 939*b77 + 613*b78
       + 743*b79 + 5*b80 + 146*b81 + 262*b82 + 959*b83 + 727*b84 + 796*b85
       + 611*b86 + 523*b87 + 283*b88 + 649*b89 + 125*b90 + 150*b91 + 442*b92
       + 51*b93 + 437*b94 + 110*b95 + 18*b96 + 479*b97 + 307*b98 + 139*b99
       + 824*b100 + 975*b101 + 205*b102 + 788*b103 + 194*b104 + 153*b105
       + 537*b106 + 654*b107 + 954*b108 + 647*b109 + 702*b110 + 647*b111
       + 417*b112 + 256*b113 + 788*b114 + 770*b115 + 438*b116 + 198*b117
       + 512*b118 + 260*b119 + 326*b120 + 114*b121 + 343*b122 + 772*b123
       + 834*b124 + 154*b125 + 20*b126 + 108*b127 + 305*b128 + 693*b129
       + 443*b130 + 174*b131 + 653*b132 + 258*b133 + 160*b134 + 472*b135
       + 983*b136 + 463*b137 + 112*b138 + 368*b139 + 971*b140 + 859*b141
       + 63*b142 + 256*b143 + 908*b144 + 42*b145 + 949*b146 + 652*b147
       + 537*b148 + 925*b149 + 877*b150 + 293*b151 + 563*b152 + 556*b153
       + 155*b154 + 174*b155 + 862*b156 + 945*b157 + 938*b158 + 780*b159
       + 577*b160 + 220*b161 + 789*b162 + 313*b163 + 979*b164 + 960*b165
       + 543*b166 + 630*b167 + 215*b168 + 996*b169 + 896*b170 + 2*b171
       + 798*b172 + 661*b173 + 903*b174 + 732*b175 + 338*b176 + 277*b177
       + 633*b178 + 29*b179 + 409*b180 + 150*b181 + 922*b182 + 661*b183
       + 297*b184 + 119*b185 + 128*b186 + 947*b187 + 645*b188 + 202*b189
       + 409*b190 + 909*b191 + 587*b192 + 8*b193 + 269*b194 + 112*b195
       + 825*b196 + 206*b197 + 114*b198 + 611*b199 + 473*b200 =L= 73880.25;

e11..    574*b1 + 858*b2 + 79*b3 + 773*b4 + 973*b5 + 935*b6 + 924*b7 + 597*b8
       + 180*b9 + 155*b10 + 53*b11 + 402*b12 + 262*b13 + 310*b14 + 886*b15
       + 115*b16 + 172*b17 + 510*b18 + 553*b19 + 737*b20 + 938*b21 + 694*b22
       + 157*b23 + 954*b24 + 614*b25 + 556*b26 + 172*b27 + 469*b28 + 944*b29
       + 730*b30 + 549*b31 + 229*b32 + 878*b33 + 489*b34 + 148*b35 + 445*b36
       + 796*b37 + 900*b38 + 455*b39 + 381*b40 + 918*b41 + 596*b42 + 996*b43
       + 617*b44 + 355*b45 + 353*b46 + 48*b47 + 526*b48 + 369*b49 + 485*b50
       + 494*b51 + 326*b52 + 491*b53 + 551*b54 + 637*b55 + 489*b56 + 220*b57
       + 786*b58 + 148*b59 + 629*b60 + 138*b61 + 60*b62 + 663*b63 + 869*b64
       + 17*b65 + 586*b66 + 34*b67 + 818*b68 + 930*b69 + 88*b70 + 525*b71
       + 647*b72 + 15*b73 + 416*b74 + 223*b75 + 856*b76 + 284*b77 + 889*b78
       + 855*b79 + 944*b80 + 147*b81 + 218*b82 + 127*b83 + 726*b84 + 507*b85
       + 973*b86 + 872*b87 + 247*b88 + 439*b89 + 630*b90 + 60*b91 + 415*b92
       + 735*b93 + 362*b94 + 21*b95 + 730*b96 + 152*b97 + 799*b98 + 811*b99
       + 390*b100 + 937*b101 + 228*b102 + 603*b103 + 443*b104 + 26*b105
       + 185*b106 + 695*b107 + 676*b108 + 839*b109 + 61*b110 + 110*b111
       + 386*b112 + 826*b113 + 3*b114 + 457*b115 + 371*b116 + 257*b117
       + 790*b118 + 642*b119 + 9*b120 + 865*b121 + 756*b122 + 587*b123
       + 543*b124 + 692*b125 + 662*b126 + 237*b127 + 875*b128 + 154*b129
       + 625*b130 + 208*b131 + 759*b132 + 295*b133 + 730*b134 + 889*b135
       + 191*b136 + 984*b137 + 217*b138 + 675*b139 + 320*b140 + 937*b141
       + 229*b142 + 54*b143 + 963*b144 + 861*b145 + 189*b146 + 84*b147
       + 144*b148 + 385*b149 + 722*b150 + 670*b151 + 711*b152 + 948*b153
       + 7*b154 + 251*b155 + 360*b156 + 911*b157 + 729*b158 + 790*b159
       + 579*b160 + 24*b161 + 770*b162 + 35*b163 + 870*b164 + 128*b165
       + 425*b166 + 835*b167 + 508*b168 + 454*b169 + 410*b170 + 227*b171
       + 519*b172 + 487*b173 + 704*b174 + 714*b175 + 739*b176 + 473*b177
       + 687*b178 + 104*b179 + 213*b180 + 494*b181 + 594*b182 + 165*b183
       + 803*b184 + 714*b185 + 524*b186 + 900*b187 + 47*b188 + 803*b189
       + 494*b190 + 313*b191 + 272*b192 + 951*b193 + 657*b194 + 422*b195
       + 149*b196 + 221*b197 + 474*b198 + 881*b199 + 228*b200 =L= 75421.5;

e12..    425*b1 + 655*b2 + 615*b3 + 931*b4 + 534*b5 + 637*b6 + 572*b7 + 617*b8
       + 607*b9 + 273*b10 + 402*b11 + 408*b12 + 565*b13 + 851*b14 + 494*b15
       + 4*b16 + 995*b17 + 965*b18 + 124*b19 + 27*b20 + 916*b21 + 444*b22
       + 811*b23 + 808*b24 + 354*b25 + 731*b26 + 245*b27 + 816*b28 + 522*b29
       + 519*b30 + 561*b31 + 288*b32 + 758*b33 + 836*b34 + 941*b35 + 235*b36
       + 656*b37 + 234*b38 + 11*b39 + 185*b40 + 431*b41 + 79*b42 + 934*b43
       + 794*b44 + 407*b45 + 848*b46 + 729*b47 + 22*b48 + 598*b49 + 701*b50
       + 558*b51 + 395*b52 + 477*b53 + 799*b54 + 481*b55 + 459*b56 + 205*b57
       + 543*b58 + 579*b59 + 858*b60 + 651*b61 + 712*b62 + 33*b63 + 716*b64
       + 350*b65 + 125*b66 + 911*b67 + 562*b68 + 258*b69 + 25*b70 + 503*b71
       + 47*b72 + 195*b73 + 662*b74 + 295*b75 + 66*b76 + 314*b77 + 223*b78
       + 513*b79 + 13*b80 + 9*b81 + 373*b82 + 681*b83 + 835*b84 + 244*b85
       + 716*b86 + 373*b87 + 170*b88 + 774*b89 + 644*b90 + 360*b91 + 625*b92
       + 734*b93 + 419*b94 + 335*b95 + 569*b96 + 195*b97 + 612*b98 + 950*b99
       + 365*b100 + 439*b101 + 379*b102 + 397*b103 + 111*b104 + 989*b105
       + 508*b106 + 754*b107 + 86*b108 + 728*b109 + 738*b110 + 511*b111
       + 984*b112 + 709*b113 + 111*b114 + 677*b115 + 478*b116 + 422*b117
       + 597*b118 + 713*b119 + 869*b120 + 583*b121 + 606*b122 + 481*b123
       + 643*b124 + 60*b125 + 286*b126 + 805*b127 + 17*b128 + 730*b129
       + 520*b130 + 281*b131 + 627*b132 + 648*b133 + 643*b134 + 371*b135
       + 452*b136 + 569*b137 + 413*b138 + 139*b139 + 254*b140 + 55*b141
       + 480*b142 + 516*b143 + 836*b144 + 691*b145 + 399*b146 + 516*b147
       + 268*b148 + 41*b149 + 588*b150 + 180*b151 + 290*b152 + 817*b153
       + 475*b154 + 862*b155 + 650*b156 + 910*b157 + 796*b158 + 94*b159
       + 425*b160 + 11*b161 + 753*b162 + 117*b163 + 785*b164 + 137*b165
       + 932*b166 + 473*b167 + 252*b168 + 835*b169 + 860*b170 + 708*b171
       + 384*b172 + 190*b173 + 477*b174 + 995*b175 + 602*b176 + 915*b177
       + 163*b178 + 428*b179 + 462*b180 + 724*b181 + 686*b182 + 700*b183
       + 400*b184 + 602*b185 + 142*b186 + 358*b187 + 953*b188 + 247*b189
       + 674*b190 + 354*b191 + 455*b192 + 704*b193 + 400*b194 + 835*b195
       + 325*b196 + 655*b197 + 653*b198 + 208*b199 + 170*b200 =L= 75425.25;

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% minimizing objvar;





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