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QPLIB_10058

Formats gms lp mod qplib
Problem type probtype QBL
Solution point objective value solobjvalue -3.56652562 (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 200
#Nonlinear Binary Variables nnlbinvars 200
#Nonlinear Integer Variables nnlintvars 0
Objective Sense objsense min
Objective type objtype quadratic
Objective curvature objcurvature indefinite
#Negative eigenvalues in objective matrix nobjquadnegev 15
#Positive eigenvalues in objective matrix nobjquadposev 185
#Nonzeros in Objective nobjnz 200
#Nonlinear Nonzeros in Objective nobjnlnz 200
#Quadratic Terms in Objective nobjquadnz 17691
#Square Terms in Objective nobjquaddiagnz 200
#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 2197
#Nonlinear Nonzeros in Jacobian njacobiannlnz 0
#Nonzeros in (Upper-Left) Hessian of Lagrangian nlaghessiannz 35182
#Nonzeros in Diagonal of Hessian of Lagrangian nlaghessiandiagnz 200
#Blocks in Hessian of Lagrangian nlaghessianblocks 4
Minimal blocksize in Hessian of Lagrangian laghessianminblocksize 1
Maximal blocksize in Hessian of Lagrangian laghessianmaxblocksize 195
Average blocksize in Hessian of Lagrangian laghessianavgblocksize 50.0
Sparsity Jacobian
Sparsity Lag. Hessian

QPLIB_10058.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
*       2398     2198      200        0
*
*  Solve m using MIQCP minimizing objvar;


Variables  objvar,b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69
          ,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86
          ,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102
          ,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115
          ,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128
          ,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141
          ,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154
          ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167
          ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
          ,b194,b195,b196,b197,b198,b199,b200,b201;

Binary Variables  b2,b3,b4,b5,b6,b7,b8,b9,b10,b11,b12,b13,b14,b15,b16,b17,b18
          ,b19,b20,b21,b22,b23,b24,b25,b26,b27,b28,b29,b30,b31,b32,b33,b34,b35
          ,b36,b37,b38,b39,b40,b41,b42,b43,b44,b45,b46,b47,b48,b49,b50,b51,b52
          ,b53,b54,b55,b56,b57,b58,b59,b60,b61,b62,b63,b64,b65,b66,b67,b68,b69
          ,b70,b71,b72,b73,b74,b75,b76,b77,b78,b79,b80,b81,b82,b83,b84,b85,b86
          ,b87,b88,b89,b90,b91,b92,b93,b94,b95,b96,b97,b98,b99,b100,b101,b102
          ,b103,b104,b105,b106,b107,b108,b109,b110,b111,b112,b113,b114,b115
          ,b116,b117,b118,b119,b120,b121,b122,b123,b124,b125,b126,b127,b128
          ,b129,b130,b131,b132,b133,b134,b135,b136,b137,b138,b139,b140,b141
          ,b142,b143,b144,b145,b146,b147,b148,b149,b150,b151,b152,b153,b154
          ,b155,b156,b157,b158,b159,b160,b161,b162,b163,b164,b165,b166,b167
          ,b168,b169,b170,b171,b172,b173,b174,b175,b176,b177,b178,b179,b180
          ,b181,b182,b183,b184,b185,b186,b187,b188,b189,b190,b191,b192,b193
          ,b194,b195,b196,b197,b198,b199,b200,b201;

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


e1.. -(0.97965886042314*sqr(b2) - 0.152996151644643*b2 + 1.01719687943125*sqr(
     b3) + 0.509595946591475*b3 + 1.05644783463822*sqr(b8) - 0.500453087622934*
     b8 + 0.74279589030339*sqr(b9) - 0.88584687743933*b9 + 0.0715958896222345*
     sqr(b11) - 0.691375619186131*b11 + 0.77069873223632*sqr(b12) - 
     0.849240733764234*b12 + 2.67004938732525*sqr(b13) + 0.481574774604527*b13
      + 0.386202817465422*sqr(b14) - 0.0862971975318736*b14 + 1.44255005540835*
     sqr(b15) - 0.874269553075486*b15 + 1.54410163012186*sqr(b16) + 
     0.462343452328276*b16 + 0.9727089515952*sqr(b17) + 0.45082289746406*b17 + 
     1.91379964299972*sqr(b18) + 0.437067171655364*b18 + 2.10445003934296*sqr(
     b19) - 0.0306692689821564*b19 + 1.5001509289026*sqr(b23) + 
     0.366921960953375*b23 + 0.59460867640844*sqr(b24) - 0.525484818714794*b24
      + 0.86284472073858*sqr(b27) - 0.114270427153629*b27 + 1.22399983912978*
     sqr(b29) - 0.279244397782687*b29 + 2.69599999972199*sqr(b32) - 
     0.895823250159606*b32 + 0.421344119838072*sqr(b33) - 0.751680259406178*b33
      + 0.67020003116524*sqr(b37) - 0.836808628406567*b37 + 1.87539903041285*
     sqr(b38) - 0.0472214408441287*b38 + 0.0325416548170646*sqr(b40) - 
     0.244908285406825*b40 + 1.53100043086097*sqr(b42) + 0.807119015093705*b42
      + 2.14379996776974*sqr(b43) - 0.240059439022739*b43 + 1.34569972866758*
     sqr(b44) - 0.546770277715945*b44 + 0.283057512143021*sqr(b45) + 
     0.347609931326345*b45 + 1.06994918210897*sqr(b46) + 0.38772395163387*b46
      + 2.23994965453416*sqr(b47) + 0.067918347292496*b47 + 0.59255273873733*
     sqr(b48) - 0.0961744924820722*b48 + 0.69310001523557*sqr(b50) - 
     0.435078004327417*b50 + 0.690002241899705*sqr(b51) + 0.400570242410421*b51
      + 1.40579819022812*sqr(b52) - 0.424051733838669*b52 + 1.92900007505602*
     sqr(b55) - 0.373444280400469*b55 + 1.11669824402787*sqr(b56) - 
     0.27420271367271*b56 + 1.11420183238594*sqr(b57) + 0.0568449466729641*b57
      + 0.68164442689063*sqr(b58) - 0.559622210753484*b58 + 1.68574994771459*
     sqr(b59) + 0.87968185556605*b59 + 1.10145185882769*sqr(b60) - 
     0.24901469433282*b60 + 1.10699955912148*sqr(b62) - 0.765355317907853*b62
      + 1.10125311325322*sqr(b63) + 0.517256106304822*b63 + 2.03624990588194*
     sqr(b64) - 0.755485314852159*b64 + 0.5653492303664*sqr(b71) + 
     0.649133460780575*b71 + 1.78394997595759*sqr(b76) + 0.468777402613413*b76
      + 1.03614974779681*sqr(b77) - 0.284243646423822*b77 + 1.5901499912587*
     sqr(b78) + 0.204399580554968*b78 + 2.76545022374644*sqr(b79) + 
     0.669213634977081*b79 + 0.404758966302447*sqr(b80) - 0.231693458824067*b80
      + 0.654643588137*sqr(b88) + 0.751437120418702*b88 + 1.61599999791257*sqr(
     b90) + 0.53001706910208*b90 + 1.94934999892533*sqr(b92) + 
     0.777025019709742*b92 + 1.62359998695517*sqr(b94) + 0.339149886793866*b94
      + 1.735600222707*sqr(b95) + 0.518082249788664*b95 + 1.1771476093957*sqr(
     b96) - 0.683522747056151*b96 + 1.61480076131552*sqr(b98) - 
     0.0934056813595645*b98 + 2.26880032863928*sqr(b100) - 0.407567250899932*
     b100 + 2.52774985794629*sqr(b101) + 0.239714193646754*b101 + 
     2.5497999061465*sqr(b102) - 0.105376695641092*b102 + 2.38269993827119*sqr(
     b103) - 0.00190169627134029*b103 + 2.12440020578105*sqr(b104) - 
     0.619783655529963*b104 + 1.14540022740732*sqr(b105) - 0.405527069256552*
     b105 + 1.81010001654494*sqr(b106) - 0.0541550031886746*b106 + 
     2.03125097765162*sqr(b107) + 0.315620621518425*b107 + 2.16240035811806*
     sqr(b108) + 0.781691403017318*b108 + 2.52534996100321*sqr(b109) + 
     0.682579668770978*b109 + 0.893888939008895*sqr(b110) + 0.842633515274599*
     b110 + 1.59399986296399*sqr(b111) + 0.972149903331193*b111 + 
     2.47915033997221*sqr(b115) - 0.427426727474098*b115 + 3.16284999530563*
     sqr(b116) + 0.569447756220017*b116 + 0.91990231631457*sqr(b118) + 
     0.29255238426902*b118 + 1.73984998581766*sqr(b119) + 0.709470496257127*
     b119 + 1.60320017869122*sqr(b120) + 0.467469993965208*b120 + 
     1.52674557065592*sqr(b121) + 0.727535570575135*b121 + 0.565809642944365*
     sqr(b122) + 2.0351986283603*sqr(b123) + 1.77914959558121*sqr(b124) + 
     0.290719372197976*sqr(b125) + 2.30049997121105*sqr(b128) + 
     1.08425422424867*sqr(b129) + 1.33729849545809*sqr(b131) + 2.05824943234528
     *sqr(b132) + 1.00350020531474*sqr(b136) + 1.46795002477187*sqr(b138) + 
     1.19060075202616*sqr(b141) + 2.03900005318941*sqr(b142) + 2.29989993102562
     *sqr(b144) + 1.28834858066456*sqr(b145) + 2.43844907712836*sqr(b148) + 
     0.120102431173721*sqr(b149) + 1.19819936845468*sqr(b154) + 
     1.61345022219715*sqr(b158) + 1.22155710585236*sqr(b159) + 1.98135243479741
     *sqr(b160) + 1.12894843905828*sqr(b161) + 1.18284912420964*sqr(b162) + 
     2.39050033430622*sqr(b166) + 1.14434939442218*sqr(b167) + 
     0.606399728620855*sqr(b168) + 1.11265113729496*sqr(b169) + 
     1.60780008240112*sqr(b172) + 1.54769917926292*sqr(b173) + 1.06564745654319
     *sqr(b175) + 1.24524660699181*sqr(b176) + 1.61039752832024*sqr(b180) + 
     1.40995005731224*sqr(b182) + 1.254199827948*sqr(b185) + 1.15929880785295*
     sqr(b186) + 1.42879794961975*sqr(b189) + 1.71524969086773*sqr(b191) + 
     2.15570016647899*sqr(b196) + 2.78515009571236*sqr(b200) + 2.13930054484532
     *sqr(b201) + 0.809200739090565*sqr(b4) + 0.0238712494914224*b4 + 
     1.94794878178903*sqr(b5) + 0.278578455283566*b5 + 1.39794826378982*sqr(b6)
      - 0.607349429999666*b6 + 1.31880065212264*sqr(b7) - 0.986883309252007*b7
      + 1.12183673919506*sqr(b10) + 0.250879093068191*b10 + 1.42044376793306*
     sqr(b20) + 0.656105402150513*b20 + 0.946399999217015*sqr(b21) + 
     0.31832480823683*b21 + 2.67755000649418*sqr(b25) - 0.0370126430167907*b25
      + 2.02134821961605*sqr(b26) + 0.146988693943951*b26 + 1.49234961379476*
     sqr(b28) - 0.11789242103099*b28 + 0.0244270834002411*sqr(b30) + 
     0.994347126738233*b30 + 2.33279888764763*sqr(b31) + 0.886056852923477*b31
      + 2.43799994474965*sqr(b34) - 0.349599988802074*b34 + 1.88029977689359*
     sqr(b35) - 0.318259396638179*b35 + 0.000833486923337345*sqr(b36) + 
     0.57456458212224*b36 + 1.27885271967634*sqr(b39) - 0.738805256178026*b39
      + 2.26820192457937*sqr(b41) - 0.695006632712718*b41 + 1.62874978067146*
     sqr(b53) + 0.851992248109359*b53 + 1.59495001415985*sqr(b54) + 
     0.711558581616075*b54 + 1.71749999970974*sqr(b61) - 0.264417548842008*b61
      + 0.251449968082375*sqr(b65) - 0.468232471854551*b65 + 1.71035000005*sqr(
     b66) + 0.571980440495789*b66 + 2.59684995607248*sqr(b67) + 
     0.124540436113948*b67 + 1.0264487068061*sqr(b68) - 0.705759074572772*b68
      + 1.99480054845544*sqr(b69) + 0.032317233192575*b69 + 2.05614775705487*
     sqr(b70) + 0.555420683776715*b70 + 1.55414996319042*sqr(b72) - 
     0.855120093473796*b72 + 1.02669975885925*sqr(b73) - 0.324936286937734*b73
      + 1.91805126617059*sqr(b74) + 0.367648110272204*b74 + 1.84674987147222*
     sqr(b81) - 0.799712614049885*b81 + 0.678739545508125*sqr(b82) - 
     0.977301555333652*b82 + 2.36915008874626*sqr(b83) + 0.350027785327889*b83
      + 2.18679981046422*sqr(b84) - 0.763883063093426*b84 + 1.9901006769573*
     sqr(b85) - 0.307105645964842*b85 + 2.14914999839769*sqr(b86) - 
     0.288665907910104*b86 + 0.00432721275238061*sqr(b87) + 0.592344611430319*
     b87 + 1.66875028232769*sqr(b89) - 0.459573725552076*b89 + 
     0.427150251039832*sqr(b91) + 0.772004152924082*b91 + 0.443594537462179*
     sqr(b97) + 0.531892389230773*b97 + 0.68731580046065*sqr(b99) - 
     0.58558469647117*b99 + 2.39280000005*sqr(b112) + 0.143954793092094*b112 + 
     3.07985000004747*sqr(b113) + 0.203525940280475*b113 + 1.13520080779899*
     sqr(b114) + 0.658918142196327*b114 + 0.996349991015315*sqr(b117) - 
     0.105801941675766*b117 + 1.20724739418247*sqr(b126) + 1.13594999032953*
     sqr(b130) + 0.057613058281922*sqr(b133) + 1.04650437699329*sqr(b134) + 
     1.52214420770645*sqr(b135) + 0.89189968501811*sqr(b137) + 1.62114589989158
     *sqr(b139) + 0.402012899831443*sqr(b140) + 3.04129976106903*sqr(b143) + 
     2.44889999969763*sqr(b146) + 1.91904974221779*sqr(b147) + 1.77474630703298
     *sqr(b152) + 1.45979536282045*sqr(b153) + 1.49030030772307*sqr(b155) + 
     1.89504999834286*sqr(b156) + 1.65319991295926*sqr(b163) + 1.42459986468259
     *sqr(b164) + 2.56915003279387*sqr(b165) + 1.1236421801194*sqr(b170) + 
     0.214774805608379*sqr(b171) + 0.69604715480929*sqr(b174) + 
     1.09505002738535*sqr(b177) + 1.0859485304441*sqr(b178) + 0.898950029656275
     *sqr(b179) + 2.03885001513467*sqr(b181) + 1.10410133776391*sqr(b183) + 
     2.27284856306124*sqr(b184) + 1.16450054994386*sqr(b188) + 1.07354585797343
     *sqr(b190) + 2.1993998280283*sqr(b192) + 1.43214890337646*sqr(b193) + 
     1.62800000330976*sqr(b194) + 2.62599945782698*sqr(b195) + 2.85284997213332
     *sqr(b197) + 1.31919940775483*sqr(b198) + 0.9685421253724*sqr(b199) + 
     1.70758482752235*sqr(b127) + 0.0189125979756066*sqr(b151) + 2.45870000005*
     sqr(b150) + 2.41875000005001*sqr(b157) + 0.0445296016660413*sqr(b22) + 
     0.28411359317171*b22 + 2.28459999228504*sqr(b75) + 0.663786679458758*b75
      + 1.29105000005*sqr(b187) + 1.48080000005*sqr(b49) + 0.0267690693412621*
     b49 + 3.35825000005*sqr(b93) + 0.415060812905946*b93 + 
     0.000264291211749865*b2*b3 + 1.44014720094803e-9*b2*b8 + 
     1.40322817385652e-9*b2*b9 + 1.80371537105316e-9*b2*b11 + 
     0.00258779319837518*b2*b12 - 1.07957322826284e-9*b2*b13 - 
     2.71816331902118e-8*b2*b14 - 1.30550724165531e-8*b2*b15 + 
     2.41010852380419e-9*b2*b16 + 2.21533198154141e-9*b2*b17 - 
     2.5633011245152e-8*b2*b18 + 1.65741356454808e-9*b2*b19 - 
     2.32800735522003e-9*b2*b23 + 1.21285949692744e-9*b2*b24 + 
     2.67912521388931e-9*b2*b27 - 4.29675325613069e-9*b2*b29 + 
     4.69492822379083e-9*b2*b32 + 5.4993124787331e-9*b2*b33 + 6.235666358648e-9
     *b2*b37 - 3.50902037810426e-9*b2*b38 - 3.864604010088e-9*b2*b40 + 
     1.22944040016009e-8*b2*b42 - 1.92973492952858e-9*b2*b43 + 
     3.92254450550374e-9*b2*b44 - 3.94314197171823e-9*b2*b45 + 
     2.2269879303954e-8*b2*b46 - 3.19906653317807e-9*b2*b47 - 
     1.65609247179671e-9*b2*b48 + 6.3754328341499e-9*b2*b50 - 
     5.5993020001148e-9*b2*b51 - 1.11356045307585e-9*b2*b52 - 
     1.46253553008503e-9*b2*b55 - 5.0457295719502e-9*b2*b56 - 
     0.000356462570247484*b2*b57 - 0.0093171235829609*b2*b58 - 
     0.00383170044999364*b2*b59 - 1.95325918259533e-8*b2*b60 + 
     0.065158016384849*b2*b62 + 0.00483650673996542*b2*b63 + 
     6.04063197910185e-9*b2*b64 + 0.0344489475458963*b2*b71 - 
     1.71750864677893e-9*b2*b76 - 5.3792659996142e-9*b2*b77 - 
     3.78376420804753e-9*b2*b78 - 6.7162699702066e-9*b2*b79 - 
     1.89170250912132e-9*b2*b80 - 5.86860741611525e-8*b2*b88 - 
     3.07421774796793e-9*b2*b90 - 1.28610760676589e-9*b2*b92 - 
     0.00276399178904491*b2*b94 - 1.9218002857918e-9*b2*b95 - 
     1.20287297221918e-9*b2*b96 - 4.59201648436631e-8*b2*b98 - 
     3.05032761285132e-8*b2*b100 - 1.15061453884027e-9*b2*b101 - 
     1.36362686936845e-9*b2*b102 + 2.51956895898891e-9*b2*b103 - 
     2.03288924262843e-9*b2*b104 - 4.82928858674797e-8*b2*b105 + 
     0.00396709181646736*b2*b106 - 0.00571509694542955*b2*b107 + 
     0.00279839857052141*b2*b108 - 5.7392897760639e-8*b2*b109 - 
     1.68709597615671e-9*b2*b110 - 2.68512856444553e-9*b2*b111 + 
     0.00368769767286757*b2*b115 - 2.95839644104126e-9*b2*b116 - 
     1.0151354329235e-7*b2*b118 - 4.81437021201396e-9*b2*b119 + 
     1.69698276940496e-9*b2*b120 + 1.36650922609489e-9*b2*b121 + 
     3.88587311453971e-9*b2*b122 - 0.00602231934590875*b2*b123 - 
     7.41108601704515e-9*b2*b124 + 8.37067125598295e-9*b2*b125 - 
     1.80524015136157e-9*b2*b128 + 3.91838807370607e-9*b2*b129 + 
     2.4822682173093e-8*b2*b131 - 0.000117053207479778*b2*b132 + 
     7.7476725578927e-9*b2*b136 + 2.49893943370588e-9*b2*b138 + 
     0.00152589879212702*b2*b141 - 1.13170485182404e-9*b2*b142 - 
     1.21983451750089e-8*b2*b144 - 2.88274115909165e-8*b2*b145 - 
     0.022895071795166*b2*b148 - 2.92992226093112e-9*b2*b149 - 
     1.9569171423801e-8*b2*b154 + 1.75990723069186e-9*b2*b158 - 
     2.18788413052485*b2*b159 + 2.91404839090251e-9*b2*b160 - 
     0.00139829925913168*b2*b161 - 0.00144899951078005*b2*b162 + 
     2.59444966722604e-9*b2*b166 + 1.85634484524479e-9*b2*b167 - 
     0.0191739730782401*b2*b168 + 0.000351181819736906*b2*b169 - 
     2.73576256924514e-9*b2*b172 + 4.93069366474468e-9*b2*b173 - 
     1.37526489474376e-9*b2*b175 - 4.34393282384125e-9*b2*b176 + 
     1.11709140153246e-9*b2*b180 - 1.73629970574164e-8*b2*b182 + 
     2.17650233886607e-8*b2*b185 + 0.0166170732780209*b2*b186 - 
     2.36192606374593e-9*b2*b189 - 2.74048551291297e-8*b2*b191 + 
     1.75924691763181e-9*b2*b196 - 1.08897161362109e-9*b2*b200 - 
     3.83525000606986e-9*b2*b201 + 2.50043708972745e-5*b3*b4 - 
     0.000211576883809756*b3*b5 - 1.87291675242487e-5*b3*b6 + 
     0.00091106881636223*b3*b7 - 6.29369678113615e-5*b3*b8 - 
     0.000148226794615614*b3*b9 + 1.41205248837739e-5*b3*b10 + 
     0.000372677439488449*b3*b11 - 0.00062096631180961*b3*b12 + 
     8.71766064438005e-5*b3*b13 - 3.84895799913749e-8*b3*b14 + 
     0.000141549592053076*b3*b15 + 0.00167845272576059*b3*b16 + 
     4.48373934135945e-7*b3*b17 - 4.25390229342904e-6*b3*b18 + 
     0.000254479954145069*b3*b19 + 0.759506385628215*b3*b20 - 
     6.0727961878831e-5*b3*b21 - 0.000422940613203452*b3*b23 - 
     9.1498271093205e-8*b3*b24 + 4.03216991707105e-5*b3*b25 + 
     2.03273683223687e-7*b3*b26 - 0.000246483652932958*b3*b27 + 
     0.552580789672955*b3*b28 + 6.80065037286845e-8*b3*b29 + 
     1.29600429236715e-8*b3*b30 - 9.6552014454019e-5*b3*b31 - 
     3.05207946746214e-8*b3*b32 + 0.0098147651653744*b3*b33 - 
     2.68829376676089e-8*b3*b34 - 1.73787355365498e-5*b3*b35 + 
     5.28250341000515e-6*b3*b36 + 7.0116287844313e-5*b3*b37 - 
     0.00178506907580088*b3*b38 + 2.0595533369714e-5*b3*b39 + 
     1.46838959745902e-9*b3*b40 + 3.71352995242383e-5*b3*b41 + 
     0.00187394165571714*b3*b42 - 0.000295231906331945*b3*b43 + 
     1.19627147588211e-5*b3*b44 + 1.77502475704481e-7*b3*b45 + 
     5.7463288208908e-5*b3*b46 + 8.72644598913765e-5*b3*b47 - 
     0.00012009136949275*b3*b48 - 7.52144797099335e-7*b3*b50 - 
     0.00115692956435482*b3*b51 - 0.93828110666589*b3*b52 - 1.79372607523601e-7
     *b3*b53 + 2.22566174707904e-6*b3*b54 - 1.33040671532704e-5*b3*b55 - 
     3.8333297387119e-5*b3*b56 + 0.00202430249208094*b3*b57 + 
     0.00066540603083791*b3*b58 - 0.000287223678489617*b3*b59 - 
     0.00493680370081171*b3*b60 - 9.50173847310995e-5*b3*b61 + 
     0.0056657043073742*b3*b62 - 0.0005654046422426*b3*b63 + 
     0.00837544755022475*b3*b64 - 9.4275677854249e-5*b3*b65 - 
     1.68761099320619e-8*b3*b66 + 0.000408498361149744*b3*b67 - 
     3.2530375646693e-8*b3*b68 - 1.09409061065552e-5*b3*b69 - 
     0.00010317418082451*b3*b70 - 0.00693342492565185*b3*b71 + 
     3.11579211054301e-8*b3*b72 + 0.057334438915218*b3*b73 + 
     0.000370412361300818*b3*b74 + 2.27367272836429e-5*b3*b76 + 
     8.51430495964595e-8*b3*b77 + 3.07513840970919e-5*b3*b78 - 
     0.042137996326412*b3*b79 + 9.0674367837114e-9*b3*b80 - 
     0.000213691256773317*b3*b81 - 1.4716454433657e-8*b3*b82 + 
     6.05121826587885e-9*b3*b83 + 4.97738837077861e-8*b3*b84 + 
     3.44468433050955e-9*b3*b85 - 0.099173142707785*b3*b86 + 
     1.13642100017346e-9*b3*b87 - 2.17042147995303e-5*b3*b88 + 
     6.3342358798835e-5*b3*b89 - 0.0170550132648149*b3*b90 + 1.3420669847984e-5
     *b3*b91 + 1.47565487431002e-6*b3*b92 - 0.000215033391229183*b3*b94 + 
     0.000264372300048656*b3*b95 - 0.000896561768800405*b3*b96 + 
     0.00010898674955272*b3*b97 + 0.0664229235454085*b3*b98 - 0.412138833168125
     *b3*b99 + 0.044121950671198*b3*b100 - 0.0005715346374335*b3*b101 - 
     0.000797627003255195*b3*b102 - 1.59059088745845e-5*b3*b103 - 
     0.00186809385773577*b3*b104 - 2.3118888141368e-7*b3*b105 + 
     0.000308653723982642*b3*b106 + 0.000271261762833422*b3*b107 - 
     9.18281178120795e-5*b3*b108 - 0.317960084420073*b3*b109 + 
     1.44517786452764e-7*b3*b110 + 1.74345396895352e-5*b3*b111 + 
     9.32180542630815e-7*b3*b112 - 2.36539463083364e-7*b3*b113 + 
     0.000306075653427448*b3*b114 - 0.000262517688033041*b3*b115 + 
     7.6450266088799e-7*b3*b116 + 1.96010810567274e-8*b3*b117 + 
     0.140781175974316*b3*b118 + 3.91271292232718e-5*b3*b119 - 
     0.000224554999050422*b3*b120 + 8.72530515880515e-5*b3*b121 + 
     6.88708782927695e-6*b3*b122 - 0.000606906872965485*b3*b123 + 
     0.66233086156203*b3*b124 + 2.21804900875471e-6*b3*b125 + 0.13128113183216*
     b3*b126 - 0.00072723699027516*b3*b128 + 0.001088101696239*b3*b129 + 
     2.03849672993078e-8*b3*b130 - 1.70789988274721e-5*b3*b131 + 
     0.000655571742510855*b3*b132 - 1.96167174251764e-8*b3*b133 - 
     3.09090289049854e-5*b3*b134 - 0.689605989256515*b3*b135 + 
     9.9807480753514e-9*b3*b136 - 4.33783902550653e-6*b3*b137 + 
     1.91288270426657e-8*b3*b138 + 0.000107926431340744*b3*b139 + 
     2.58880771063352e-5*b3*b140 - 0.000112714478365041*b3*b141 + 
     3.52185332541184e-5*b3*b142 + 0.00028346688293409*b3*b143 + 
     6.096891698081e-6*b3*b144 + 1.99416529758593e-5*b3*b145 - 
     3.1822736994499e-9*b3*b146 - 1.84346645583987e-5*b3*b147 + 
     0.00163024637799545*b3*b148 + 0.0052835653670067*b3*b149 + 
     2.64186345719136e-5*b3*b152 - 2.9583581967544e-5*b3*b153 - 
     5.13672552714535e-5*b3*b154 - 1.008413465312e-5*b3*b155 - 
     5.29903833135015e-5*b3*b156 - 0.000226141994347335*b3*b158 - 
     0.000295128914808995*b3*b159 - 0.000141014095175292*b3*b160 - 
     0.0026512553096771*b3*b161 + 0.000105531278741463*b3*b162 + 
     8.0576397173157e-6*b3*b163 + 3.10917550058711e-8*b3*b164 + 
     5.0376961261058e-8*b3*b165 + 0.00244019222119568*b3*b166 - 
     0.000143592351104209*b3*b167 - 0.00147071071926414*b3*b168 - 
     0.00199380078823289*b3*b169 + 1.43546850435137e-5*b3*b170 - 
     2.33795193573869e-9*b3*b171 - 0.00067248914459463*b3*b172 - 
     0.000134499314254231*b3*b173 + 3.48220443165888e-6*b3*b174 - 
     0.0010154707331915*b3*b175 + 0.0095132569981677*b3*b176 + 
     2.44258643556505e-6*b3*b177 - 2.90835245274075e-7*b3*b178 - 
     0.000172203909737541*b3*b179 + 0.945991542369015*b3*b180 - 
     7.43400438923355e-8*b3*b181 - 0.0054259991019782*b3*b182 - 
     1.34173700414195e-5*b3*b183 - 0.0026821161621291*b3*b184 + 
     1.46218922248979e-7*b3*b185 + 0.00142146060903277*b3*b186 - 
     0.000770155900231925*b3*b188 - 0.0007308133633362*b3*b189 - 
     4.2866511829565e-7*b3*b190 - 2.45331839859751e-6*b3*b191 - 
     2.72944021825433e-5*b3*b192 - 0.000602358527524655*b3*b193 - 
     6.58843883050855e-5*b3*b194 + 0.443070722394749*b3*b195 + 
     0.00021911415057201*b3*b196 + 1.17292924190864e-5*b3*b197 + 
     0.000211371312817853*b3*b198 - 0.000589188155379775*b3*b199 - 
     0.000166872961885006*b3*b200 + 0.000450480793400146*b3*b201 - 
     0.22718179498552*b4*b5 - 0.00317816006509213*b4*b6 + 0.00076812580705213*
     b4*b7 - 0.188992926082852*b4*b8 - 0.211964878665459*b4*b9 + 
     1.65544136354002e-7*b4*b10 + 1.70126196298698e-7*b4*b11 - 
     0.0373143076071918*b4*b12 - 0.0338294195327434*b4*b13 + 
     3.91788476361155e-8*b4*b14 - 0.0256439245500919*b4*b15 - 
     0.000389761416843707*b4*b16 - 3.62339593005925e-7*b4*b17 - 
     0.00317270517180746*b4*b18 + 0.743429604038515*b4*b19 - 0.0725124537825365
     *b4*b20 + 9.38588308306555e-9*b4*b21 - 0.159674121532141*b4*b23 + 
     5.87864564497465e-5*b4*b24 + 0.00108980452162224*b4*b25 - 
     0.066665620899105*b4*b26 + 0.0956409431873675*b4*b27 + 5.32414034461305e-8
     *b4*b28 - 1.10867999238035e-6*b4*b29 + 3.56828530852667e-9*b4*b30 + 
     1.1170915582806e-7*b4*b31 - 1.27670212116022e-9*b4*b32 - 0.273960040531527
     *b4*b33 - 1.52918223481978e-7*b4*b34 - 1.34159961346444e-7*b4*b35 + 
     3.57887574373968e-8*b4*b36 - 0.0119050027265862*b4*b37 + 
     0.000260647106918308*b4*b38 - 6.2090509568915e-7*b4*b39 - 
     2.94176895421692e-8*b4*b40 + 3.10465909628396e-8*b4*b41 - 
     0.0685037032288205*b4*b42 - 0.862429603630725*b4*b43 + 0.013557518729653*
     b4*b44 - 7.70081047329195e-8*b4*b45 + 0.00133322678536452*b4*b46 + 
     0.0328079504821926*b4*b47 + 2.79100041853101e-5*b4*b48 - 
     9.43376025829295e-7*b4*b50 + 1.05608004406601e-8*b4*b51 - 
     0.000115054698017775*b4*b52 + 3.26910068277276e-7*b4*b53 - 
     0.00138740092921007*b4*b54 - 0.172553211112148*b4*b55 + 0.157303440887433*
     b4*b56 + 0.0057025134145166*b4*b57 + 0.000688525116963145*b4*b58 - 
     0.0251830098827619*b4*b59 - 0.0281682317994712*b4*b60 - 5.9996445723753e-9
     *b4*b61 - 0.000308722748097933*b4*b62 - 0.265939397433349*b4*b63 - 
     0.0103359672319356*b4*b64 + 3.49409584297292e-7*b4*b65 - 
     0.00163190000013209*b4*b66 + 0.00130632773695208*b4*b67 - 
     2.58807719318907e-7*b4*b68 - 0.278307422483824*b4*b69 - 
     1.04330955158982e-7*b4*b70 + 0.00327968079947511*b4*b71 - 
     0.00081598579810921*b4*b72 - 0.0057841658168898*b4*b73 - 0.211762929405426
     *b4*b74 + 0.0089463887333893*b4*b76 - 1.38808505382206e-6*b4*b77 + 
     0.0160179960604724*b4*b78 - 0.0653740094590405*b4*b79 - 
     1.11667995504389e-8*b4*b80 + 0.59144957351824*b4*b81 - 5.0469207012818e-9*
     b4*b83 + 2.83135094894759e-7*b4*b84 + 1.47991653978461e-8*b4*b85 - 
     4.2808718358976e-9*b4*b86 + 4.17165412504359e-9*b4*b87 - 
     0.000885862627254575*b4*b88 + 0.0248169000842661*b4*b89 + 
     0.00268888262086646*b4*b90 + 0.0074266083491976*b4*b91 - 
     0.0054781965726241*b4*b92 + 0.0109977575340978*b4*b94 + 0.065170494014274*
     b4*b95 + 0.384070986647391*b4*b96 - 0.204882807704071*b4*b97 + 
     0.00090464688015415*b4*b98 - 0.248449705123217*b4*b99 + 0.0006009277518805
     *b4*b100 - 5.9317839239012e-8*b4*b101 + 0.713729542574845*b4*b102 + 
     5.2110640780058e-8*b4*b103 - 0.0230071221002051*b4*b104 + 
     1.96151908255638e-8*b4*b105 - 0.0157824181137606*b4*b106 - 
     0.163639589838101*b4*b107 + 0.0801256299190995*b4*b108 - 
     0.000144232906676503*b4*b109 + 4.4594454928131e-6*b4*b110 + 
     0.019727130227395*b4*b111 - 8.89278662099085e-5*b4*b113 - 
     2.78367317482311e-7*b4*b114 + 8.39619280318055e-8*b4*b115 + 
     0.000293419275974257*b4*b116 - 2.86205306800413e-9*b4*b117 - 
     1.14229694952619e-7*b4*b118 + 0.0203809949842709*b4*b119 + 
     0.0333575732022489*b4*b120 + 0.0055575725540104*b4*b121 - 
     0.162368673952396*b4*b122 + 0.061190255007662*b4*b123 - 
     7.24245338976025e-7*b4*b124 + 7.45481219748885e-7*b4*b125 - 
     0.012426457850705*b4*b126 - 9.51351102824075e-8*b4*b127 + 
     8.70960652588015e-5*b4*b128 + 0.0234572054149671*b4*b129 - 
     3.30467591915786e-9*b4*b130 + 0.000373485758418916*b4*b131 - 
     0.00168300298259213*b4*b132 + 1.5456075109051e-7*b4*b133 - 
     0.78625271828279*b4*b134 + 0.0658384887233995*b4*b135 - 5.3062900651802e-9
     *b4*b136 - 1.87286884266393e-7*b4*b137 + 1.15827263904673e-6*b4*b138 - 
     1.58834436038773e-6*b4*b139 + 1.90070033892641e-7*b4*b140 + 
     0.0436893147255942*b4*b141 - 0.204670044475548*b4*b142 - 0.121430311952021
     *b4*b143 - 0.0131899894195493*b4*b144 - 0.000436140092669778*b4*b145 + 
     5.18781075634045e-8*b4*b146 + 1.00996907846565e-7*b4*b147 - 
     0.000280189873988416*b4*b148 - 2.40400905600585e-7*b4*b149 - 
     4.29347716212514e-9*b4*b151 - 1.5002877317242e-6*b4*b152 + 
     0.00183363590065925*b4*b153 - 0.00123443566274389*b4*b154 + 
     0.05904280518506*b4*b155 - 0.0306890034746755*b4*b156 + 0.0417355611789511
     *b4*b158 - 0.255090639184651*b4*b160 + 0.020161516540222*b4*b161 - 
     0.0414887761216531*b4*b162 - 0.0092985360359172*b4*b163 + 
     0.000512254713140995*b4*b164 + 2.60596689346249e-8*b4*b165 + 
     0.0293281556000537*b4*b166 + 0.139102564780873*b4*b167 - 
     0.0017566272183463*b4*b168 - 0.0056177373088627*b4*b169 + 
     2.16417868482139e-7*b4*b170 - 5.57642363358625e-8*b4*b171 + 
     7.4799504030376e-8*b4*b172 - 0.0505649236772425*b4*b173 - 
     0.00154907994501143*b4*b174 + 0.299199395681472*b4*b175 - 
     9.93354341619305e-8*b4*b176 + 0.0621344245272595*b4*b177 - 
     6.9141571046694e-5*b4*b178 + 0.000274759601547208*b4*b179 - 
     9.3422747163715e-5*b4*b180 - 1.50324174188929e-8*b4*b181 - 
     0.114900133245635*b4*b182 + 4.35470182620336e-7*b4*b183 + 
     5.86553886841245e-9*b4*b184 - 1.4122376983056e-8*b4*b185 + 
     0.0220870827320571*b4*b186 + 0.00072300052812047*b4*b188 - 
     1.84305904039862e-7*b4*b189 - 0.000111521461637838*b4*b190 - 
     0.0057441424384151*b4*b192 + 8.9744616848451e-8*b4*b193 - 
     0.00298267672871431*b4*b194 - 4.3755375502911e-5*b4*b195 + 
     0.428550141533608*b4*b196 + 0.00246897529153973*b4*b197 - 
     9.48555885436855e-5*b4*b198 + 0.000136818340597993*b4*b199 - 
     0.00418785662166565*b4*b200 - 0.16627003821392*b4*b201 + 6.034303273809e-8
     *b5*b6 + 3.29687987501651e-8*b5*b7 - 0.0903484932373875*b5*b8 + 
     0.15379085197967*b5*b9 + 1.67285486270314e-8*b5*b10 + 0.00078854799049506*
     b5*b11 + 2.12913061089115e-7*b5*b12 + 0.0247801335786842*b5*b13 + 
     2.09507186644757e-8*b5*b14 - 2.36974206145862e-7*b5*b15 + 
     0.00427076002709647*b5*b16 + 0.706298135936545*b5*b17 + 
     1.89715855014761e-8*b5*b18 + 0.063904423509818*b5*b19 - 0.48820020137002*
     b5*b20 + 2.8963778823676e-8*b5*b21 + 0.14864009885551*b5*b23 + 
     7.79039768398635e-9*b5*b24 + 3.37768209665605e-5*b5*b25 - 
     7.68316308983545e-7*b5*b26 - 0.070058550505648*b5*b27 + 
     4.15965856959546e-7*b5*b28 - 8.3423810090068e-7*b5*b29 + 
     1.71095339410177e-8*b5*b30 - 1.04454588633232e-7*b5*b31 + 
     3.23180875493303e-8*b5*b34 - 8.71006237678455e-8*b5*b35 + 
     1.126948370716e-5*b5*b36 - 1.25703122764439e-7*b5*b37 - 
     0.00377760197314869*b5*b38 - 1.19370415862661e-7*b5*b39 + 
     3.13537335719397e-5*b5*b41 + 0.00338991737252747*b5*b42 - 
     0.0741345325798005*b5*b43 - 3.26840887685797e-7*b5*b44 + 
     4.58080616474215e-8*b5*b45 - 4.62062911970239e-8*b5*b46 + 
     1.23268858044219e-7*b5*b47 - 0.000305578971148745*b5*b48 - 
     1.39842959587161e-6*b5*b50 - 0.00244799776003297*b5*b51 - 
     1.01605731130081e-6*b5*b52 + 2.40381076651531e-7*b5*b53 - 
     1.44435724164905e-9*b5*b54 + 0.125430114769759*b5*b55 - 0.172819566190181*
     b5*b56 + 0.00636827243302215*b5*b57 - 2.60534152952305e-8*b5*b58 + 
     0.00308860635080675*b5*b59 - 0.0082437852239008*b5*b60 - 
     1.85108292479208e-8*b5*b61 + 0.018283143182409*b5*b62 + 2.8943961180353e-7
     *b5*b63 - 9.01231216152525e-5*b5*b64 - 0.000198334615186697*b5*b65 + 
     0.00085681671899779*b5*b67 - 9.18311695963935e-8*b5*b68 + 
     0.159050102364688*b5*b69 - 0.00022637665293442*b5*b70 - 0.027666283158977*
     b5*b71 - 5.23662594757835e-8*b5*b72 - 0.0368996952710184*b5*b73 + 
     0.108179810426371*b5*b74 + 4.50016421643182e-5*b5*b76 - 
     1.04448283268355e-6*b5*b77 + 1.06517290800104e-8*b5*b78 + 
     8.23138643651755e-9*b5*b79 + 3.7006019502777e-8*b5*b80 + 
     0.0414943990889598*b5*b81 + 1.02802950929108e-7*b5*b82 - 
     2.1916907964667e-8*b5*b83 - 5.9842782270421e-8*b5*b84 + 1.2689209730872e-8
     *b5*b85 + 1.55508298178619e-8*b5*b86 + 7.49957679191265e-9*b5*b87 + 
     5.12135264647135e-9*b5*b88 + 0.000123446594046013*b5*b89 + 
     3.2736866156262e-8*b5*b90 - 0.127251076497161*b5*b91 + 2.4951436199285e-6*
     b5*b92 + 0.00221614170500606*b5*b94 - 0.0366910836843884*b5*b95 - 
     0.00175730289229661*b5*b96 - 1.38121096085701*b5*b97 - 
     0.000747346647864855*b5*b98 - 1.67289460128396*b5*b99 - 
     0.000496433358679778*b5*b100 - 0.00120684768707177*b5*b101 + 
     0.067188705310481*b5*b102 - 1.28981481808253e-7*b5*b103 - 
     5.8576359726787e-8*b5*b104 + 2.95149795758965e-7*b5*b105 - 
     0.00317771403571911*b5*b106 + 1.60577953461431e-7*b5*b107 + 
     8.9811235758259e-5*b5*b108 + 5.797157278093e-8*b5*b109 + 0.92745365566144*
     b5*b110 + 2.43440249976099e-7*b5*b111 + 0.00066484461224326*b5*b114 - 
     3.7341201398184e-8*b5*b115 + 2.50373586273057e-9*b5*b116 - 
     2.5921973983068e-8*b5*b117 + 0.00052449228734132*b5*b118 + 
     1.35538781068913e-8*b5*b119 - 0.021590957480362*b5*b120 + 
     0.123978937471261*b5*b121 - 0.0098534286279617*b5*b122 - 
     0.00168993650650544*b5*b123 - 4.03529952695536e-7*b5*b124 + 
     1.42134953602656e-7*b5*b125 - 0.0851215864721705*b5*b126 - 
     1.11939959784389e-8*b5*b127 - 0.00153896643463184*b5*b128 + 
     0.00235062364483041*b5*b129 - 2.69454956356924e-8*b5*b130 + 
     3.39757354533475e-7*b5*b131 + 0.00209163579140713*b5*b132 + 
     3.79299410816781e-8*b5*b133 + 0.449330289166705*b5*b134 + 
     0.443260277721445*b5*b135 - 5.3226908851199e-9*b5*b136 - 
     1.31639721544984e-7*b5*b137 + 2.15930183291822e-6*b5*b138 + 
     0.000366398594185164*b5*b139 - 3.33948358857605e-7*b5*b140 - 
     8.57958583669345e-5*b5*b141 - 2.6752568727795e-8*b5*b142 + 
     0.000555634149808225*b5*b143 + 6.41220516496355e-6*b5*b144 + 
     2.94658373527086e-7*b5*b145 + 3.90379841630654e-8*b5*b146 - 
     1.48522762794871e-7*b5*b147 + 1.06020427500162e-8*b5*b148 - 
     4.89418599040106e-8*b5*b149 - 9.36800608106405e-8*b5*b152 + 
     1.25008894768956e-7*b5*b153 + 4.06027253019241e-8*b5*b154 + 
     7.3968536599935e-8*b5*b155 + 8.66473394107405e-9*b5*b156 - 
     0.0223529665614093*b5*b158 - 0.000338488103641525*b5*b160 - 
     0.00337429096346471*b5*b161 + 8.3339286364091e-5*b5*b162 - 
     8.9305975946778e-8*b5*b163 - 7.1970817122685e-8*b5*b164 - 
     1.15896687873563e-8*b5*b165 + 7.4640627249143e-8*b5*b166 - 
     0.0238350244086799*b5*b167 + 0.0153990893840077*b5*b168 - 
     0.00627301969461815*b5*b169 + 1.13212339734618e-9*b5*b170 - 
     8.9474647005899e-8*b5*b171 - 0.00191920324394898*b5*b172 - 
     1.89991491827918e-7*b5*b173 - 8.8487472729741e-8*b5*b174 - 
     0.013380912179882*b5*b175 - 0.000107342457708976*b5*b176 - 
     0.0355090228497238*b5*b177 + 1.1427698852544e-7*b5*b178 - 
     0.000376418922631473*b5*b179 + 4.60195154067523e-7*b5*b180 + 
     3.99915431118273e-8*b5*b181 - 0.0115143592985186*b5*b182 + 
     8.3732931207925e-8*b5*b183 - 0.00566652068543465*b5*b184 + 
     4.80633213754111e-9*b5*b185 + 0.00466277268344702*b5*b186 + 
     1.37358765765658e-8*b5*b188 - 0.000991506781412455*b5*b189 + 
     5.58256735214675e-7*b5*b190 - 1.6287656705563e-8*b5*b191 + 
     1.08829111386367e-7*b5*b192 - 0.00081642576657292*b5*b193 + 
     1.38148526311753e-8*b5*b194 + 2.15539700897575e-7*b5*b195 + 
     0.00061947742821065*b5*b196 - 4.37587662243791e-8*b5*b197 - 
     1.6553191659899e-7*b5*b198 - 0.00149925944361176*b5*b199 - 
     0.000154968274624618*b5*b200 + 0.0286833392715661*b5*b201 - 
     1.20809908240787e-8*b6*b7 - 0.130140224364965*b6*b8 + 0.0442879409512007*
     b6*b9 + 3.53762895151384e-8*b6*b10 - 7.16243988785245e-8*b6*b11 + 
     0.093144184413734*b6*b12 - 0.000332354638323522*b6*b13 + 0.264491359487596
     *b6*b14 - 0.076199537261302*b6*b15 + 3.7283981776173e-8*b6*b16 + 
     0.0117046185154387*b6*b17 + 0.018702977543496*b6*b18 + 0.00334774563994676
     *b6*b19 - 0.0451819750531995*b6*b20 - 0.00139369168524037*b6*b21 - 
     0.0121443466810552*b6*b23 + 0.00511854118190195*b6*b24 - 
     6.32762002953355e-5*b6*b25 + 0.230621526149415*b6*b26 + 
     0.00093975451944402*b6*b27 + 1.17625114848809e-7*b6*b28 + 
     0.0101492249286337*b6*b29 + 5.77529221919705e-8*b6*b30 - 
     5.6512302187127e-8*b6*b31 + 1.59817389467212e-9*b6*b32 - 
     1.93234654328894e-7*b6*b33 + 1.65444818958336e-7*b6*b34 + 
     0.00341841901523996*b6*b35 - 0.00185562902624689*b6*b36 + 
     0.0128105217473381*b6*b37 - 0.0188928947935559*b6*b38 - 
     1.93136277283977e-7*b6*b39 - 2.21040698932976e-7*b6*b40 - 
     3.25938632109841e-8*b6*b41 + 0.0254181334709994*b6*b42 - 
     0.00387899852520971*b6*b43 + 7.35777239584485e-5*b6*b44 - 
     1.8040262885523e-8*b6*b45 + 0.144061339006409*b6*b46 + 0.0398350406635708*
     b6*b47 - 0.00651401289937595*b6*b48 - 0.0135802487682714*b6*b50 + 
     1.05037981036263e-7*b6*b51 - 1.94314678002433e-7*b6*b52 - 
     2.28920869197727e-8*b6*b53 + 0.00574794892189695*b6*b54 - 
     0.00145870607868318*b6*b55 - 0.189488801996524*b6*b56 + 
     0.00139059397674699*b6*b57 + 0.00593470799863215*b6*b58 + 
     0.00143079775929351*b6*b59 + 0.0104522157909662*b6*b60 - 
     0.00218060531448373*b6*b61 - 0.08402095835013*b6*b62 + 0.00290185100017948
     *b6*b63 - 0.0112611241863603*b6*b64 + 0.0329197963969483*b6*b65 + 
     0.00584917746797535*b6*b67 - 1.41012538270726e-7*b6*b68 + 
     0.00785742781484445*b6*b69 - 0.084502391163263*b6*b70 - 
     0.00244535663949506*b6*b71 + 0.0342628094296433*b6*b73 + 
     0.0133329040607795*b6*b74 - 0.00260341524106629*b6*b76 + 
     2.81606807961025e-7*b6*b77 + 0.0120199995075922*b6*b78 - 
     4.83107082086059e-8*b6*b79 - 0.0082281806890871*b6*b80 - 
     0.0164798933735219*b6*b81 - 4.38348521505344e-8*b6*b82 + 
     0.00126340375772991*b6*b83 - 3.06335618267847e-7*b6*b84 - 
     1.75971568346808e-8*b6*b85 + 1.16472741863912e-9*b6*b86 + 
     1.41585687243343e-8*b6*b87 - 0.00763528200046885*b6*b88 + 
     0.00480030048980766*b6*b89 - 0.120620000348504*b6*b90 - 
     0.00178044091277919*b6*b91 + 0.000318068448580002*b6*b92 - 
     0.000661009227256165*b6*b94 - 0.00197504013747883*b6*b95 + 
     0.00328834781844429*b6*b96 + 0.0233160593147415*b6*b97 + 
     0.00116346303102382*b6*b98 + 4.33092165031198e-7*b6*b99 + 
     0.00077282908163032*b6*b100 + 0.0164531565424395*b6*b101 + 
     0.00472618453262633*b6*b102 - 2.46520086578557e-7*b6*b103 - 
     0.000340379895604213*b6*b104 + 0.498001941579683*b6*b105 + 
     0.00094892614798285*b6*b106 - 0.00342904971281591*b6*b107 + 
     0.0352992058948738*b6*b108 + 0.00646998425795325*b6*b109 - 
     0.0089128145104004*b6*b110 - 5.0600831730158e-5*b6*b111 - 
     0.000107980108244456*b6*b113 + 0.0033082438148777*b6*b114 - 
     0.0111148285559432*b6*b115 + 0.0025289975209713*b6*b116 - 
     0.000128099080411599*b6*b118 + 0.0152939993724769*b6*b119 - 
     0.000928344455650505*b6*b120 - 0.094839738812838*b6*b121 - 
     0.000136218247901258*b6*b122 - 0.072264577189013*b6*b123 - 
     4.94489228187259e-7*b6*b124 + 0.0072278136179049*b6*b125 + 
     0.0790375571307875*b6*b126 + 5.0415783065416e-9*b6*b127 - 
     0.00631335172966965*b6*b128 - 2.26485013262911e-7*b6*b129 - 
     1.88614731506071e-9*b6*b130 + 0.00321454701720671*b6*b131 - 
     0.033272989930064*b6*b132 + 1.24635725845949e-7*b6*b133 - 
     0.0031729738866903*b6*b134 - 0.0318360106579064*b6*b135 - 
     0.0698133230026885*b6*b136 + 0.0191580817787959*b6*b137 + 
     1.34833895892759e-7*b6*b138 + 0.634644235978045*b6*b139 + 
     0.0331949387161948*b6*b140 - 0.12655936306588*b6*b141 - 
     0.00149506893643746*b6*b142 - 0.00103973056423223*b6*b143 + 
     0.00842093731372665*b6*b144 - 0.00376291517788878*b6*b145 + 
     0.216889989477208*b6*b146 + 0.00362409178018107*b6*b147 - 
     0.00241514394900604*b6*b148 + 1.54061347753453e-7*b6*b149 - 
     1.7757846366193e-8*b6*b151 + 0.658784017002755*b6*b152 - 0.199624496944139
     *b6*b153 - 0.126591176638118*b6*b154 - 0.0158008435881787*b6*b155 - 
     0.0129109971416398*b6*b156 - 0.00096117996283858*b6*b158 + 
     0.0407142915012321*b6*b160 - 0.0503281457951735*b6*b161 - 
     0.070173857199096*b6*b162 - 0.00317030074795042*b6*b163 + 
     6.25509668169895e-9*b6*b164 - 0.0096634467895383*b6*b165 + 
     0.000433894378716356*b6*b166 + 0.332510842740214*b6*b167 - 
     5.4937296118451e-5*b6*b168 + 0.0173867901072273*b6*b169 + 
     3.59179938130173e-9*b6*b170 - 1.71719353205311e-7*b6*b171 - 
     0.000195203644265314*b6*b172 - 0.0613970626772415*b6*b173 + 
     0.89731180585803*b6*b174 + 0.00841828317189665*b6*b175 + 
     8.9321107872053e-5*b6*b176 - 0.00175417318341627*b6*b177 + 
     3.35622672175727e-8*b6*b178 + 0.0638197902573725*b6*b179 + 
     2.05773965713701e-7*b6*b180 - 0.0205390043983664*b6*b181 - 
     2.05273295593369e-8*b6*b182 + 1.35455162270101e-7*b6*b183 + 
     0.0410472409810382*b6*b184 + 1.63196369649583e-8*b6*b185 + 
     0.288959656165323*b6*b186 - 2.5627020234696e-9*b6*b188 - 
     0.000117718622608904*b6*b189 - 8.8144800558213e-9*b6*b190 - 
     0.124479662773402*b6*b191 + 0.032386995841441*b6*b192 - 6.8922829365023e-5
     *b6*b193 + 3.02332793002281e-8*b6*b194 + 9.6377465501988e-8*b6*b195 + 
     0.0227230334564348*b6*b196 + 0.0634079994499525*b6*b197 + 
     1.11224761111094e-7*b6*b198 + 0.00132793020854224*b6*b199 + 
     0.00441714460981471*b6*b200 + 0.0071428075791078*b6*b201 - 
     1.07878854909792e-7*b7*b8 - 0.00162855545880215*b7*b9 - 
     0.00154915378613783*b7*b10 - 4.89906057138411e-8*b7*b11 - 
     0.00457796593867297*b7*b12 - 8.32390526469635e-5*b7*b13 + 
     0.000359667520679836*b7*b14 - 0.00360396959644218*b7*b15 + 
     4.3093217958939e-9*b7*b16 - 1.15282087391861e-7*b7*b17 + 
     0.00859708240060705*b7*b18 - 0.0072084775283493*b7*b19 + 
     1.03101017786426e-8*b7*b20 - 0.166479989203391*b7*b21 - 
     0.00275398658959127*b7*b23 + 1.65395839716017e-7*b7*b24 + 
     0.0659950019603445*b7*b25 - 5.8127455136822e-8*b7*b26 + 
     0.000235102756785616*b7*b27 - 1.00570426415405e-8*b7*b28 - 
     5.49323127159545e-9*b7*b29 + 0.0106100147569999*b7*b31 + 
     2.81608117508066e-9*b7*b32 - 0.0669478340143535*b7*b33 + 
     0.0522306424589835*b7*b34 - 0.0481639212901831*b7*b35 + 
     4.45626961760554e-5*b7*b36 - 0.0016730351876431*b7*b37 + 
     3.20155513823611e-5*b7*b38 + 4.9604753173237e-8*b7*b39 + 
     5.0587050683827e-8*b7*b40 + 0.06119508438959*b7*b41 - 0.00438880538380183*
     b7*b42 + 0.0083623134749964*b7*b43 - 0.00073162485105581*b7*b44 - 
     0.264837443220639*b7*b45 + 4.76939923611068e-5*b7*b46 + 
     0.00402481935517218*b7*b47 + 1.45761011660736e-7*b7*b48 - 
     1.61756018779451e-7*b7*b50 + 6.1371858113504e-8*b7*b51 + 
     0.00231989347528416*b7*b52 - 2.48897235856233e-8*b7*b53 - 
     2.35146169625146e-6*b7*b54 - 0.000424300565628935*b7*b55 - 
     0.000485309441831093*b7*b56 - 0.00099641332957003*b7*b57 + 
     8.4522439653619e-5*b7*b58 + 0.060126959411366*b7*b59 - 0.00180464229088127
     *b7*b60 - 0.260490006900914*b7*b61 + 0.000167013883814646*b7*b62 - 
     0.0648033574817525*b7*b63 + 0.00244035324757895*b7*b64 + 
     0.00065795722059936*b7*b65 + 0.000160251114629121*b7*b67 + 
     2.54892608597796e-8*b7*b68 + 0.000435019935764363*b7*b69 - 
     0.00071792055794482*b7*b70 + 0.118739963487332*b7*b71 + 0.0164700129165404
     *b7*b72 + 0.726339196656215*b7*b73 + 0.00276662417231453*b7*b74 - 
     0.0364108269359743*b7*b76 - 6.87820864476645e-9*b7*b77 + 
     0.00503089230738425*b7*b78 - 0.0159759642263812*b7*b79 + 
     7.86304016798795e-8*b7*b80 + 0.00218110987754988*b7*b81 + 
     3.17963639838482e-8*b7*b82 - 2.65181110910612e-8*b7*b83 - 
     0.096710337987374*b7*b84 + 4.66518607398024e-8*b7*b85 + 
     2.22616392304444e-9*b7*b86 + 7.8656573397251e-9*b7*b87 - 
     0.000108643735026483*b7*b88 - 0.101009499281352*b7*b89 + 
     0.000430377634995811*b7*b91 + 0.00474949831149362*b7*b92 + 
     0.0180889962708358*b7*b94 - 0.000101764314509547*b7*b95 - 
     0.0174512205753771*b7*b96 - 4.48915829950822e-9*b7*b97 - 
     0.000213791656797353*b7*b98 + 7.4892281108193e-8*b7*b99 - 
     0.000142017076326276*b7*b100 + 0.000193311845604647*b7*b101 - 
     0.0020414262270816*b7*b102 + 0.00174484318131371*b7*b103 - 
     0.0379361626065568*b7*b104 + 5.2215569146175e-5*b7*b105 - 
     0.0259629593386313*b7*b106 - 0.0398745490354658*b7*b107 + 
     0.0198106288391963*b7*b108 - 2.75291101189729e-8*b7*b109 + 
     1.0804931900825e-8*b7*b110 - 0.00106585380949433*b7*b111 - 
     0.000102430001702745*b7*b112 - 1.09097816975632e-5*b7*b113 + 
     7.6266241898984e-5*b7*b114 + 1.18535232961697e-7*b7*b115 + 
     0.00114269776496768*b7*b116 - 0.055736993602063*b7*b117 + 
     5.476099764244e-8*b7*b118 + 0.0064012902118777*b7*b119 - 
     0.0075348626019911*b7*b120 - 4.73796816939357e-8*b7*b121 + 
     3.21456701948784e-5*b7*b122 + 0.000718492228849225*b7*b123 - 
     5.04682024978375e-8*b7*b124 - 0.000213252271741128*b7*b125 - 
     0.314860358154107*b7*b126 + 5.4188805435653e-8*b7*b127 + 
     1.07064339697379e-5*b7*b128 - 0.00122591935660405*b7*b129 - 
     0.055896992817814*b7*b130 + 4.57700216532971e-5*b7*b131 + 
     0.0099675172389979*b7*b132 + 2.09486432822065e-7*b7*b133 + 
     0.00122891282532742*b7*b134 + 1.08237670190455e-8*b7*b135 + 
     0.00136356977346789*b7*b136 - 1.61524825226185e-7*b7*b137 + 
     2.45012241469554e-8*b7*b138 - 1.8476270215678e-8*b7*b139 - 
     0.00272343774001133*b7*b140 + 0.0104929810425101*b7*b141 + 
     0.0201389413897683*b7*b142 + 0.0055175697400185*b7*b143 + 
     0.0156370034535944*b7*b144 - 5.35169511467775e-5*b7*b145 - 
     0.05052401733667*b7*b147 - 3.43965259637333e-5*b7*b148 - 
     1.50575632560698e-8*b7*b149 + 0.00018917440917763*b7*b151 - 
     1.63414278423892e-8*b7*b152 + 1.97221094929413e-8*b7*b153 + 
     5.39758912911225e-5*b7*b154 - 0.0995099462605795*b7*b155 - 
     0.00793780566957605*b7*b156 + 0.00716207435200925*b7*b158 - 
     0.02854691644168*b7*b160 + 0.00247359179350044*b7*b161 - 
     0.0097200691871711*b7*b162 - 0.055557893049474*b7*b163 + 
     0.0271420189026489*b7*b164 + 3.67886658115934e-8*b7*b165 + 
     0.0483602072774199*b7*b166 - 0.000364894032686805*b7*b167 + 
     0.193139835190926*b7*b168 + 0.0009814796399095*b7*b169 - 
     0.00157467105955865*b7*b170 + 0.000311609480752815*b7*b171 + 
     0.64338018742058*b7*b172 - 0.00620327570465405*b7*b173 + 
     4.01351767161571e-8*b7*b174 - 0.0257215060214845*b7*b175 + 
     5.33272996277135e-7*b7*b176 - 9.7118913708946e-5*b7*b177 - 
     0.00387432000095342*b7*b178 + 0.0178593512213569*b7*b179 + 
     0.00188694492655093*b7*b180 - 3.34928755031949e-8*b7*b181 + 
     0.0057917585944034*b7*b182 - 3.47890685832392e-8*b7*b183 + 
     1.90583309998733e-8*b7*b184 - 0.0479805368618643*b7*b185 + 
     0.000308800157087535*b7*b186 - 1.56939882115831*b7*b188 - 0.71932993833566
     *b7*b189 + 0.00225186251465808*b7*b190 - 8.4556045797182e-8*b7*b191 - 
     0.119379974197904*b7*b192 - 0.592730072899945*b7*b193 - 2.1635281455704e-8
     *b7*b194 + 0.000883781042165795*b7*b195 - 0.0216338043489488*b7*b196 + 
     0.059769988686586*b7*b197 + 0.57969978220592*b7*b198 - 6.11841640244385e-8
     *b7*b199 - 0.253529984595481*b7*b200 + 0.0270355060450817*b7*b201 - 
     0.0219094937263398*b8*b9 + 2.22604244359394e-7*b8*b10 + 
     0.000237179788298047*b8*b11 + 1.42507122930979e-6*b8*b12 + 
     0.0078733014392994*b8*b13 + 1.75179708765652e-7*b8*b14 + 
     5.0204348088661e-8*b8*b15 + 0.00128188202448279*b8*b16 - 0.865605349453735
     *b8*b17 + 0.00462455260890884*b8*b18 + 0.052790918850551*b8*b19 - 
     0.146560621378194*b8*b20 - 1.96498334408711e-8*b8*b21 - 0.0324564887324036
     *b8*b23 + 4.20058374877378e-8*b8*b24 + 0.00756524647037115*b8*b25 - 
     1.28550343868573*b8*b26 - 0.0222591737415128*b8*b27 + 3.80213672334908e-8*
     b8*b28 - 0.120270202855231*b8*b29 - 1.26327136254933e-8*b8*b30 + 
     1.75367472986561e-7*b8*b31 - 8.86691847153135e-9*b8*b32 - 
     2.17770051177592e-7*b8*b33 - 6.1644052993966e-8*b8*b34 - 
     7.50438955631705e-5*b8*b35 + 3.37149241113413e-6*b8*b36 + 
     5.4089008623635e-8*b8*b37 - 0.00113460950268848*b8*b38 - 
     4.5230993691814e-7*b8*b39 - 2.61520700358656e-8*b8*b40 + 
     9.40347994910065e-6*b8*b41 + 0.00101787861241734*b8*b42 - 
     0.0612410216624395*b8*b43 + 9.30167638598765e-8*b8*b44 + 
     0.00071537535342549*b8*b45 + 7.69453571869395e-8*b8*b46 + 
     5.10704309116675e-7*b8*b47 - 9.31431851001155e-5*b8*b48 + 
     0.057513442228703*b8*b50 - 0.00073520774087569*b8*b51 + 
     2.05956617344414e-5*b8*b52 - 0.122491036133069*b8*b53 + 4.7329374076747e-9
     *b8*b54 - 0.0177666319293192*b8*b55 - 0.0148805581609999*b8*b56 - 
     0.0367891944222552*b8*b57 - 0.0161582677192669*b8*b58 - 0.171221211774192*
     b8*b59 - 0.00247488834258441*b8*b60 + 1.25575816561408e-8*b8*b61 + 
     0.0054884774509073*b8*b62 + 1.70556048174166e-7*b8*b63 - 0.062753583741088
     *b8*b64 - 6.0149989640059e-5*b8*b65 + 0.000257354527702195*b8*b67 - 
     6.55773426610695e-8*b8*b68 + 0.0477498015391934*b8*b69 - 0.040788801494545
     *b8*b70 - 0.00830521767482045*b8*b71 - 3.40983482872645e-5*b8*b72 - 
     0.0110765482619365*b8*b73 - 0.0228934438673275*b8*b74 + 0.0162568599589627
     *b8*b76 - 0.1505802539888*b8*b77 + 0.000645180510958735*b8*b78 - 
     2.90249649503676e-8*b8*b79 - 5.9598340857616e-8*b8*b80 + 
     0.0348034233865289*b8*b81 - 1.46916572994272e-7*b8*b82 - 
     7.50041805000375e-6*b8*b83 + 1.14144345305534e-7*b8*b84 + 
     1.34211708230649e-9*b8*b85 + 1.75155410454494e-8*b8*b86 + 
     1.90236943508288e-8*b8*b87 + 0.0207880287557482*b8*b88 - 
     0.00582242327272975*b8*b89 + 0.0368561453085711*b8*b90 - 0.105871606807623
     *b8*b91 - 0.0379772555792443*b8*b92 + 0.0326352715290775*b8*b94 - 
     0.0110152745758849*b8*b95 - 0.000526943002164185*b8*b96 - 
     0.412942744897056*b8*b97 + 0.0206551091474034*b8*b98 - 0.50221733292126*b8
     *b99 + 0.0137204068205093*b8*b100 + 0.0106038377043595*b8*b101 + 
     0.056770694132523*b8*b102 + 2.4806228369902e-7*b8*b103 + 
     2.35056840561152e-9*b8*b104 - 0.00999208230812085*b8*b105 - 
     0.144951544573022*b8*b106 + 2.77703205853549e-8*b8*b107 + 
     0.0162210555535578*b8*b108 - 0.00197674331725543*b8*b109 - 
     1.03379646824334*b8*b110 - 1.30968670557049e-7*b8*b111 - 
     1.38395795432116e-9*b8*b113 + 0.00019947865241634*b8*b114 - 
     1.64482058685929e-7*b8*b115 + 0.000532237381486045*b8*b116 - 
     1.68812649989815e-5*b8*b117 - 0.0105311622176779*b8*b118 + 
     0.00082092153769021*b8*b119 - 0.0064817474009087*b8*b120 - 
     1.46160699447248*b8*b121 - 0.008198366972623*b8*b122 - 
     0.000507265614385855*b8*b123 + 2.15258336985616e-7*b8*b124 - 
     0.0306140770891534*b8*b125 - 0.0255530846999506*b8*b126 - 
     5.19067955522795e-8*b8*b127 - 0.000462222975809371*b8*b128 + 
     0.0007050443805187*b8*b129 - 1.75371780919105e-5*b8*b130 + 
     0.0749711674338395*b8*b131 - 0.0054807414912489*b8*b132 + 
     2.84513804921726e-8*b8*b133 + 0.134892264397715*b8*b134 + 0.13307063254549
     *b8*b135 - 4.14636329414894e-8*b8*b136 + 8.17745676952785e-8*b8*b137 + 
     0.0462022026006634*b8*b138 + 0.175119836794929*b8*b139 + 
     0.0162103861756536*b8*b140 - 0.038994972609475*b8*b141 + 
     2.26979758194444e-6*b8*b142 + 0.00016661073243438*b8*b143 - 
     0.0959576257223855*b8*b144 + 0.0817711675771415*b8*b145 + 
     0.0056282094913961*b8*b146 - 7.94221239878335e-5*b8*b147 + 
     0.00657570894658525*b8*b148 - 1.23545929889999e-7*b8*b149 - 
     5.9555138873413e-9*b8*b151 + 0.166059858276748*b8*b152 - 0.160799748327552
     *b8*b153 - 6.7616203937262e-8*b8*b154 + 3.24777142819168e-6*b8*b155 + 
     3.5896667627131e-8*b8*b156 - 0.00671061916183015*b8*b158 + 
     1.28961869616519e-9*b8*b159 - 0.000102938685171999*b8*b160 - 
     0.00101349669876149*b8*b161 - 0.009736175801248*b8*b162 - 
     5.3440396443256e-5*b8*b163 - 5.60520380044215e-5*b8*b164 - 
     5.1047056560679e-8*b8*b165 - 3.01485600941493e-9*b8*b166 + 
     0.055500454592391*b8*b167 + 0.00462253335775293*b8*b168 - 
     0.0432023713933511*b8*b169 + 2.19006519876275e-7*b8*b170 - 
     7.79825233885115e-8*b8*b171 - 0.000576609844210235*b8*b172 - 
     7.8713750930719e-7*b8*b173 - 0.0634287618241915*b8*b174 - 
     0.0100905499079341*b8*b175 + 0.00214865001812025*b8*b176 - 
     0.0106601789708102*b8*b177 + 9.0398032583215e-6*b8*b178 + 
     0.00178483223813706*b8*b179 + 1.68706472497432e-5*b8*b180 - 
     4.04999907196353e-9*b8*b181 - 0.00345625824278655*b8*b182 + 
     3.17210886481663e-7*b8*b183 + 0.00961870095760085*b8*b184 - 
     0.00394976598450295*b8*b185 + 0.00139943732760225*b8*b186 - 
     1.0003944374255e-7*b8*b188 - 0.00029734421022748*b8*b189 - 
     5.20260419207e-5*b8*b190 + 1.06864966342413e-7*b8*b191 + 
     7.37752348546515e-5*b8*b192 - 0.000245792402991821*b8*b193 - 
     6.2718553055745e-9*b8*b194 + 7.9016717531766e-6*b8*b195 + 
     0.000185861341671388*b8*b196 - 2.97386126732409e-5*b8*b197 + 
     1.48410438997416e-7*b8*b198 - 0.000449541949652899*b8*b199 - 
     0.0290801968200342*b8*b200 + 0.0236953005031476*b8*b201 + 
     4.36299838512514e-7*b9*b10 + 0.0224868930832136*b9*b11 + 
     0.0232828772946087*b9*b12 - 0.0184610143840532*b9*b13 + 1.1638360507455e-7
     *b9*b14 + 0.0192976483662439*b9*b15 + 0.00291279736518464*b9*b16 - 
     0.10409991156164*b9*b17 + 0.0021518402894841*b9*b18 + 0.096516376491324*b9
     *b19 - 0.0619202619204185*b9*b20 - 0.00453838980086173*b9*b21 - 
     0.142919998327297*b9*b23 + 4.94352721441908e-8*b9*b24 + 
     0.00086758385077685*b9*b25 - 0.0375723465389204*b9*b26 + 0.052191840541025
     *b9*b27 + 0.0346346797707102*b9*b28 - 6.8300527064811e-7*b9*b29 + 
     2.52777143057467e-8*b9*b30 - 2.2063813408704e-8*b9*b31 - 
     0.0377350093656161*b9*b32 - 5.18096302185385e-5*b9*b33 - 0.192220823947645
     *b9*b34 - 0.033695373201897*b9*b35 - 0.0344350893779458*b9*b36 + 
     0.00895844692014745*b9*b37 - 0.101990369363636*b9*b38 - 
     4.10287670153942e-7*b9*b39 - 1.58104966343072e-7*b9*b40 + 
     0.000235000536296138*b9*b41 + 0.0411959578479697*b9*b42 - 
     0.111961630641138*b9*b43 - 0.00919545063731835*b9*b44 + 
     1.14448411157545e-6*b9*b45 + 6.76318180679775e-9*b9*b46 - 
     0.0222499855424565*b9*b47 - 0.000208346107595076*b9*b48 - 
     0.162290505476904*b9*b50 - 0.0698078198388255*b9*b51 - 0.058808906025053*
     b9*b52 + 0.00111519643188711*b9*b53 + 2.35274802592521e-9*b9*b54 - 
     0.105529955073476*b9*b55 + 0.198059837031484*b9*b56 - 0.096421512428787*b9
     *b57 - 0.0153063098913714*b9*b58 - 0.0117596936302649*b9*b59 + 
     0.0295231205619365*b9*b60 + 0.00290055739357936*b9*b61 + 0.01154603254687*
     b9*b62 - 9.8620328575696e-7*b9*b63 - 0.0050952330972297*b9*b64 + 
     0.152799574032698*b9*b65 + 0.0222360742818048*b9*b67 - 1.45843870809855e-7
     *b9*b68 + 0.188759071624557*b9*b69 - 0.00610081512869015*b9*b70 - 
     0.0193578627065481*b9*b71 + 4.19710397588888e-8*b9*b72 + 0.581851723736045
     *b9*b73 - 0.0710729711311905*b9*b74 - 0.0220208406430239*b9*b76 - 
     8.55137872379555e-7*b9*b77 - 0.0108629934432461*b9*b78 + 
     0.000220044631601567*b9*b79 + 2.79213463767389e-8*b9*b80 - 
     0.0422439757276358*b9*b81 - 8.40637052579895e-8*b9*b82 - 
     5.0458317423642e-9*b9*b83 + 0.355911525595499*b9*b84 + 2.69889050759325e-8
     *b9*b85 + 5.5436072544816e-9*b9*b86 - 3.56168545407114e-9*b9*b87 - 
     0.00886582594776285*b9*b88 - 0.168020101024722*b9*b89 + 0.0868701366011185
     *b9*b90 - 0.118732753290986*b9*b91 - 0.00306925600596742*b9*b92 + 
     0.0065244551972548*b9*b94 - 0.0374138840894633*b9*b95 + 0.249953174075454*
     b9*b96 + 0.139262959062051*b9*b97 - 0.0075746704872594*b9*b98 + 
     0.16085185740382*b9*b99 - 0.00503157827227515*b9*b100 - 0.0325700744520502
     *b9*b101 - 0.00809665227162215*b9*b102 - 1.52773690125079e-7*b9*b103 + 
     1.23343471347754e-7*b9*b104 + 0.0281955362676316*b9*b105 - 
     0.012202968635128*b9*b106 - 8.0648452573063e-7*b9*b107 + 
     0.00242646731049627*b9*b108 - 0.00299347828776506*b9*b109 + 
     0.0792785769284435*b9*b110 - 0.0133789118284546*b9*b111 + 
     6.0311961910859e-5*b9*b113 + 0.0274529667292752*b9*b114 - 
     4.25541228381377e-7*b9*b115 - 0.000198995325647118*b9*b116 + 
     2.07967734272469e-8*b9*b117 + 0.0094089175349974*b9*b118 - 
     0.0138219916497832*b9*b119 - 0.0547018293075025*b9*b120 - 
     0.112976274972112*b9*b121 - 0.0091939950415497*b9*b122 - 
     0.00106733916283357*b9*b123 - 0.250290139348695*b9*b124 + 
     0.0863865557397275*b9*b125 + 1.34030467535306*b9*b126 + 7.5173322415441e-8
     *b9*b127 - 0.041969999093266*b9*b128 - 0.0162865409548608*b9*b129 + 
     1.98823338720673e-8*b9*b130 + 0.0037330946687271*b9*b131 - 
     0.00186583001519296*b9*b132 + 3.17418787044731e-7*b9*b133 + 
     0.533247377208665*b9*b134 + 0.106242180279191*b9*b135 - 
     1.44049991147289e-7*b9*b137 + 0.00133867271652193*b9*b138 - 
     0.0051483283724655*b9*b139 - 2.06600676774446e-7*b9*b140 + 
     0.063552799657752*b9*b141 + 1.30159158345476e-9*b9*b142 - 
     0.079030003550912*b9*b143 - 0.0084826901502859*b9*b144 - 
     0.00436908508453094*b9*b145 + 3.19602562764264e-8*b9*b146 + 
     0.0317815368717004*b9*b147 + 0.0062289261076758*b9*b148 - 
     0.00122482566666194*b9*b149 - 5.13464551474335e-8*b9*b151 - 
     3.4208145766449e-7*b9*b152 - 0.0255215286528894*b9*b153 - 
     5.945429304645e-9*b9*b154 - 0.2072102636855*b9*b155 + 0.0208140010174064*
     b9*b156 - 0.00888024529657445*b9*b158 + 1.25665194878927e-9*b9*b159 - 
     0.0730064810977995*b9*b160 - 0.0125688499900534*b9*b161 + 
     0.0716093575693165*b9*b162 + 0.0197211332109995*b9*b163 - 
     0.00381887899997563*b9*b164 - 1.32070884025991e-7*b9*b165 - 
     1.57279314661731e-7*b9*b166 + 0.141109867307421*b9*b167 + 
     0.0107740676315128*b9*b168 - 0.0718256985787735*b9*b169 - 
     1.45473003122514e-7*b9*b170 + 0.0388278177298364*b9*b171 - 
     0.0234413513486029*b9*b172 + 0.0342939777197517*b9*b173 + 
     0.0215851846710678*b9*b174 - 0.21699349669305*b9*b175 - 
     0.00113596978999989*b9*b176 - 0.0421397927368776*b9*b177 - 
     0.0271740642213735*b9*b178 + 0.296508964800015*b9*b179 + 
     0.0592923656622245*b9*b180 + 0.0141020449597787*b9*b181 + 
     0.0531686856633945*b9*b182 + 2.87758465804311e-7*b9*b183 + 
     0.0795930216740255*b9*b184 + 1.71630501099913e-7*b9*b185 + 
     0.00294425454889837*b9*b186 - 0.00153294894427379*b9*b188 - 
     0.0122539093432002*b9*b189 - 0.000722103254947555*b9*b190 + 
     1.24228475191685e-7*b9*b191 + 0.0121819502556224*b9*b192 - 
     0.0100965404714306*b9*b193 + 3.99040291303474e-9*b9*b194 + 
     0.0277706396336823*b9*b195 - 0.00291786123690063*b9*b196 - 
     0.00523638267968185*b9*b197 - 1.91406488016108e-7*b9*b198 - 
     0.00102247367859336*b9*b199 + 0.0160388016672273*b9*b200 + 
     0.0433208005558635*b9*b201 + 2.00945958588344e-7*b10*b11 - 
     0.0952204438193845*b10*b12 + 7.38569731195215e-8*b10*b13 + 
     1.12076616388806e-8*b10*b14 + 0.0573828133667645*b10*b15 + 
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     0.6379101112373*b22*b75 - 0.188630000000626*b22*b187 - 1.5188050362966e-5*
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     *b23*b38 - 0.147440398824359*b23*b39 + 6.60323603406615e-8*b23*b40 + 
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     1.12849879775307*b23*b55 + 0.32093065756826*b23*b56 + 0.145838075811067*
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     *b23*b97 + 0.140308923145455*b23*b98 + 0.164039970379343*b23*b99 + 
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     9.23343608319495e-9*b23*b117 - 0.102708352222769*b23*b118 - 
     0.0168159451215369*b23*b119 - 0.175290108140508*b23*b120 - 
     0.11741207052596*b23*b121 - 0.261409406605716*b23*b122 + 0.22398032065152*
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     0.000138205829417993*b23*b153 - 0.0615080009799035*b23*b154 + 
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     0.08476862773269*b23*b162 + 0.00611029988048755*b23*b163 - 
     0.0154762452667987*b23*b164 + 0.072759974378148*b23*b165 - 
     0.0531818144169295*b23*b166 + 0.226159661815668*b23*b167 + 
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     0.116111522301728*b23*b178 + 0.16165967702156*b23*b179 - 0.055248736297613
     *b23*b180 - 0.00101067317043795*b23*b181 + 0.179120180437357*b23*b182 + 
     0.102190279717591*b23*b183 + 0.31690152366461*b23*b184 + 
     0.000556722310395105*b23*b185 + 0.098656914595895*b23*b186 + 
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     0.0860760219966365*b23*b200 + 0.0907285370177225*b23*b201 + 
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     1.11495006027967e-7*b24*b27 - 5.03946740203475e-8*b24*b29 + 
     1.72857129570911e-8*b24*b30 + 3.30380499937924e-5*b24*b31 + 
     1.10622049093424e-9*b24*b32 - 1.69874200241311e-8*b24*b34 + 
     0.0417445554739575*b24*b37 + 9.68784008073685e-7*b24*b38 - 
     2.08861572609549e-5*b24*b39 - 1.51542666802468e-8*b24*b40 - 
     1.68369242621485*b24*b41 + 0.000467984008862272*b24*b42 - 
     6.50541685684325e-5*b24*b43 + 1.82071155709562e-6*b24*b44 + 
     1.3136911146063e-7*b24*b45 + 0.00183105398941969*b24*b46 + 
     0.000119023212867982*b24*b47 + 0.341611109082338*b24*b48 - 
     2.92312782354018e-8*b24*b50 - 6.1254578140688e-8*b24*b51 - 
     0.000807421695546945*b24*b52 + 1.93522562821929e-9*b24*b53 - 
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     8.9555517293228e-9*b27*b54 + 0.52483363266252*b27*b55 - 0.149592337225087*
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     0.0366312100107302*b171*b175 + 1.26271960975645e-8*b171*b176 - 
     1.72664747194264e-9*b171*b177 + 5.8511764652071e-8*b171*b178 - 
     0.044724226256016*b171*b179 - 2.46953645454491e-8*b171*b180 - 
     6.8003750373047e-8*b171*b181 - 0.0001757373169952*b171*b182 - 
     9.88796752362875e-8*b171*b183 - 3.89412726625781e-8*b171*b184 + 
     8.38447740019965e-8*b171*b185 + 3.09318505570998e-8*b171*b186 + 
     0.000293316303878195*b171*b188 + 5.52037103836885e-8*b171*b189 - 
     3.02358940189949e-8*b171*b190 - 8.2699107755519e-9*b171*b191 - 
     0.00232849250742179*b171*b192 + 4.1102837715169e-8*b171*b193 - 
     1.15666394838024e-8*b171*b195 + 1.87242307629082e-8*b171*b196 + 
     0.00100079677755111*b171*b197 + 1.06763740066721e-8*b171*b198 + 
     3.27279329514226e-8*b171*b199 - 0.00292434927733986*b171*b200 - 
     3.62320709722734e-8*b171*b201 + 2.35018573887952e-7*b172*b173 - 
     9.57980831023285e-5*b172*b174 + 0.00311317489960369*b172*b175 + 
     0.228051745110354*b172*b176 - 5.60662591839475e-8*b172*b177 - 
     0.5260622828667*b172*b178 - 0.0418557086034139*b172*b179 - 
     0.000119815048041254*b172*b180 - 1.11563459528095e-8*b172*b181 + 
     0.254001379364029*b172*b182 + 5.4799164287806e-8*b172*b183 + 
     1.30400224309906*b172*b184 + 4.72650686559732e-8*b172*b185 - 
     0.076026645517814*b172*b186 - 0.544849773263555*b172*b188 - 
     0.777152325559835*b172*b189 - 0.0139700518047867*b172*b190 - 
     7.53609466598955e-8*b172*b191 + 0.0325590160863157*b172*b192 - 
     0.60886998132122*b172*b193 - 5.2650510591788e-8*b172*b194 - 
     5.6116251877792e-5*b172*b195 - 0.26217988307527*b172*b196 - 
     0.0139950076038128*b172*b197 + 0.70988677549793*b172*b198 - 
     0.0064068499400936*b172*b199 + 0.14203957461096*b172*b200 - 
     0.0564422647627055*b172*b201 - 0.0359382692253156*b173*b174 + 
     0.152790456162052*b173*b175 + 5.46950551428765e-8*b173*b176 + 
     0.0063924095435804*b173*b177 + 1.07231864804321e-7*b173*b178 + 
     0.00192132118220149*b173*b179 - 7.9619632580216e-8*b173*b180 - 
     6.47296449395505e-8*b173*b181 - 1.83826934331629e-7*b173*b182 + 
     2.13047666698894e-7*b173*b183 - 0.019510087388541*b173*b184 + 
     2.15276797945747e-8*b173*b185 - 0.0111102864027671*b173*b186 - 
     0.0058391827475636*b173*b188 + 1.39963978908388e-7*b173*b189 + 
     0.0011842559068658*b173*b191 + 0.0463890070358138*b173*b192 - 
     1.06790561323004e-7*b173*b193 + 1.14902652911729e-9*b173*b194 - 
     3.72912049258994e-8*b173*b195 + 3.14048468872846e-8*b173*b196 - 
     0.0199390030543709*b173*b197 - 2.07599440008079e-7*b173*b198 - 
     4.80588698606359e-5*b173*b199 - 0.0293800509088381*b173*b200 + 
     0.05538212301965*b173*b201 + 0.00410286981835194*b174*b175 + 
     4.31913993269214e-5*b174*b176 - 0.00085494938557341*b174*b177 - 
     2.42166712267942e-7*b174*b178 + 0.0311036169321371*b174*b179 - 
     9.76918581942565e-8*b174*b180 - 0.0100099826988076*b174*b181 - 
     1.09976094104921e-7*b174*b182 - 3.24685726983742e-8*b174*b183 + 
     0.0200053398876139*b174*b184 + 2.55953679439242e-9*b174*b185 - 
     0.59513983779698*b174*b186 + 3.11762075911192e-8*b174*b188 - 
     5.82653002900105e-5*b174*b189 + 2.65378847896222e-8*b174*b190 + 
     0.25539953942722*b174*b191 + 0.0157840082561319*b174*b192 - 
     3.35558075339925e-5*b174*b193 - 6.64557753193475e-8*b174*b194 - 
     4.57559491516372e-8*b174*b195 + 0.0110748962289994*b174*b196 + 
     0.0309030001709031*b174*b197 - 3.04417507700439e-7*b174*b198 - 
     0.00272455569300526*b174*b199 + 0.00215276564763809*b174*b200 + 
     0.0357509823450438*b174*b201 + 0.020827967874662*b175*b176 + 
     0.00401442238486535*b175*b177 + 1.06264133753186e-5*b175*b178 + 
     0.269191996200048*b175*b179 + 1.47913931133305e-5*b175*b180 + 
     2.19848300773949e-7*b175*b181 + 0.0169463997966936*b175*b182 + 
     5.83164882232115e-8*b175*b183 + 0.133479925794671*b175*b184 + 
     7.44239704687635e-8*b175*b185 - 0.0180208071939825*b175*b186 + 
     0.0144504415028036*b175*b188 + 0.00134454365399453*b175*b189 + 
     1.68476900763963e-5*b175*b190 - 3.01258235266541e-8*b175*b191 + 
     0.0540049872375035*b175*b192 + 0.0069301267512021*b175*b193 + 
     0.000460383981380699*b175*b194 + 6.9277657440193e-6*b175*b195 + 
     0.76844011888201*b175*b196 + 0.0437590018883009*b175*b197 - 
     0.000165845366280227*b175*b198 - 0.00340558962065143*b175*b199 + 
     0.0067709351882341*b175*b200 - 0.124890088659784*b175*b201 - 
     1.82418796112106e-8*b176*b177 - 0.0296288598625565*b176*b178 - 
     0.00458085218704691*b176*b179 - 0.00135997353995285*b176*b180 - 
     9.52924184213715e-9*b176*b181 + 0.0148153477874303*b176*b182 + 
     4.94748058452211e-8*b176*b183 + 0.0734458804900695*b176*b184 - 
     0.000110115150540676*b176*b185 - 0.129629582993771*b176*b186 + 
     4.93954816094819e-7*b176*b188 - 0.89340058671113*b176*b189 - 
     0.000786872930812295*b176*b190 - 4.86088791309875e-7*b176*b191 + 
     1.97893161691391e-8*b176*b192 + 1.70070443786215*b176*b193 - 
     4.56777477191372e-8*b176*b194 - 0.00063696444389967*b176*b195 + 
     0.112620456067652*b176*b196 - 1.0011590544982e-8*b176*b197 + 
     0.398891980519233*b176*b198 - 0.000357336454813229*b176*b199 + 
     0.041756136518032*b176*b200 + 0.251530399097057*b176*b201 - 
     6.0221779038453e-8*b177*b179 + 4.94616905315113e-8*b177*b180 + 
     3.05354539171498e-9*b177*b181 + 1.34889791924482e-8*b177*b182 + 
     8.79073904809885e-9*b177*b183 + 8.15782775930615e-9*b177*b184 - 
     3.42931586761672e-9*b177*b185 - 0.000110539072663913*b177*b186 - 
     9.14176522938995e-5*b177*b188 - 5.9420289945263e-9*b177*b189 + 
     1.42491355074562e-8*b177*b190 + 5.3759870817152e-9*b177*b191 + 
     0.000726188050133305*b177*b192 - 1.74681231832756e-8*b177*b193 - 
     1.30142034090436e-9*b177*b194 + 2.31662465762697e-8*b177*b195 + 
     0.000136910409897806*b177*b196 - 0.000312139096368795*b177*b197 + 
     3.9112766179335e-8*b177*b198 + 2.14332621711882e-5*b177*b199 - 
     9.06427100266645e-9*b177*b200 - 0.007376635462129*b177*b201 - 
     0.0375916477258559*b178*b179 - 0.0101159612627764*b178*b180 - 
     6.32831539068635e-9*b178*b181 + 7.1349551845766e-7*b178*b182 + 
     2.70272267004556e-7*b178*b183 + 0.621212888946845*b178*b184 - 
     4.65350023770056e-8*b178*b185 - 0.000264170115262858*b178*b186 - 
     0.00364694294434302*b178*b188 - 0.28024320350765*b178*b189 - 
     0.050775980453639*b178*b190 + 1.12869060563099e-8*b178*b191 + 
     0.0719780207547935*b178*b192 - 0.230910504220375*b178*b193 + 
     8.7846581083111e-6*b178*b194 - 0.00473818185668184*b178*b195 - 
     9.1646468705077e-8*b178*b196 - 0.0335740084789055*b178*b197 - 
     2.0694587996563e-6*b178*b198 - 0.000950650676976405*b178*b199 - 
     0.00246357281614121*b178*b200 + 0.0304809233132925*b178*b201 - 
     0.011138934467247*b179*b180 + 0.169089555792361*b179*b181 + 
     0.0804219842282815*b179*b182 - 1.93942368120869e-7*b179*b183 + 
     0.110090677117784*b179*b184 - 0.000148226625756433*b179*b185 + 
     0.00393155270987081*b179*b186 - 0.0128417599610906*b179*b188 - 
     0.00487144240214911*b179*b189 - 0.00100008907237565*b179*b190 - 
     1.15144869152169e-7*b179*b191 - 0.00870304908304865*b179*b192 - 
     0.00715317667506305*b179*b193 + 7.2176055478483e-9*b179*b194 - 
     0.00521696930619785*b179*b195 - 0.00426029268070324*b179*b196 + 
     0.00374088102631005*b179*b197 + 0.018273689454055*b179*b198 - 
     0.00505797682871635*b179*b199 - 0.249090002908621*b179*b200 + 
     0.0202707410614117*b179*b201 - 0.0188750603468378*b180*b181 - 
     3.13805719083122e-8*b180*b182 - 4.74709323191806e-8*b180*b183 + 
     0.000141257593155207*b180*b184 - 7.6434837392814e-8*b180*b185 - 
     0.000357735528015217*b180*b186 + 0.00177623450441114*b180*b188 - 
     6.39282144558085e-5*b180*b189 + 1.35220483367642*b180*b190 - 
     6.27711631358345e-8*b180*b191 + 0.188920981208825*b180*b192 - 
     5.24680393682795e-5*b180*b193 + 1.19128718867794e-5*b180*b194 - 
     1.21870231536501*b180*b195 - 2.77750784365452e-8*b180*b196 - 
     0.073931395022815*b180*b197 + 0.00132854220596409*b180*b199 - 
     0.00073794223014074*b180*b200 - 0.000362006704077112*b180*b201 + 
     4.10642210917111e-9*b181*b182 + 6.8113707778075e-9*b181*b183 + 
     5.60458068678235e-9*b181*b184 - 1.50580470744248e-8*b181*b185 - 
     1.30519995655039e-8*b181*b186 - 2.60617573244082e-8*b181*b188 - 
     2.29096666711678e-9*b181*b189 + 2.68399222468395e-8*b181*b190 + 
     7.0174049680436e-9*b181*b191 + 1.87738991397038e-9*b181*b192 - 
     1.7273136468413e-9*b181*b193 - 0.00884032826465135*b181*b195 - 
     1.81919820812881e-8*b181*b196 + 8.2000466210435e-9*b181*b198 - 
     4.43563004858604e-9*b181*b199 + 0.011055968914123*b181*b200 + 
     2.21374154621468e-8*b181*b201 + 0.15459915485952*b182*b183 + 
     0.78436930879218*b182*b184 + 9.3766541047754e-8*b182*b185 + 
     0.127480797402244*b182*b186 - 0.00492004528958052*b182*b188 + 
     0.150260155653274*b182*b189 - 3.11520737611195e-8*b182*b190 - 
     1.55460891597879e-7*b182*b191 + 6.3826491799833e-5*b182*b192 + 
     0.123811155431611*b182*b193 - 1.11912475157646e-9*b182*b194 - 
     1.46978589561981e-8*b182*b195 - 0.181390058338526*b182*b196 - 
     2.74348488253027e-5*b182*b197 + 4.82022237839068e-5*b182*b198 - 
     0.0365929332327487*b182*b199 - 0.057140061457761*b182*b200 + 
     0.062348233795933*b182*b201 - 2.74601166109367e-7*b183*b184 - 
     2.11730668539038e-8*b183*b185 + 0.000295674660716283*b183*b186 - 
     3.91915154365644e-8*b183*b188 + 2.76457686743275e-7*b183*b189 + 
     1.16451991149363e-7*b183*b190 + 3.28762688189879e-8*b183*b191 + 
     1.87818283330406e-8*b183*b192 - 1.77509128096898e-7*b183*b193 + 
     7.4481425423404e-9*b183*b194 - 2.22331376735762e-8*b183*b195 - 
     2.82730565794556e-8*b183*b196 - 7.42249292889965e-9*b183*b197 + 
     1.06506323793576e-7*b183*b198 + 0.0064077944324491*b183*b199 + 
     5.3366217126703e-8*b183*b200 + 4.47224735381345e-8*b183*b201 + 
     4.37692614923132e-8*b184*b185 + 0.058566977627775*b184*b186 + 
     4.08085129863834e-8*b184*b188 + 0.69466314589658*b184*b189 + 
     0.0164970144264595*b184*b190 - 2.25472810342806e-8*b184*b191 - 
     1.33185179803624e-8*b184*b192 + 0.572400497385175*b184*b193 + 
     1.36788892902334e-8*b184*b194 + 6.6158086933268e-5*b184*b195 - 
     0.042195908071406*b184*b196 + 5.5317191523693e-9*b184*b197 + 
     2.03314726372611e-6*b184*b198 - 0.018915117084961*b184*b199 + 
     0.0090538748351344*b184*b200 - 0.090164913203076*b184*b201 + 
     7.70778816116485e-8*b185*b186 - 0.0451645411032274*b185*b188 - 
     1.11269548163785e-7*b185*b189 - 3.75453403294974e-8*b185*b190 - 
     4.29109341500261e-8*b185*b191 - 0.00194698742079665*b185*b192 + 
     1.42940937573628e-7*b185*b193 - 7.450798909913e-9*b185*b194 - 
     3.57998015324873e-8*b185*b195 - 5.3447452248904e-8*b185*b196 + 
     0.000836854624356535*b185*b197 - 4.70358667856738e-8*b185*b198 + 
     9.7429139421677e-9*b185*b199 + 0.00226902481335399*b185*b200 - 
     3.60396312070149e-8*b185*b201 - 0.000184928567869831*b186*b188 - 
     0.0500957812610985*b186*b189 - 0.000427005970231115*b186*b190 + 
     0.599931167318395*b186*b191 - 0.000161243096149538*b186*b192 - 
     0.0236703673825699*b186*b193 + 0.126580048084878*b186*b194 - 
     0.000167550435982446*b186*b195 - 0.0642109705259485*b186*b196 + 
     0.0006022689672035*b186*b197 + 0.000350523840410195*b186*b198 + 
     0.0114538099931857*b186*b199 + 0.00139212686271833*b186*b200 + 
     0.165550553737146*b186*b201 + 0.609170046408265*b188*b189 + 
     0.00211979391717864*b188*b190 - 7.69854098019045e-8*b188*b191 - 
     0.00385147295938218*b188*b192 + 0.50195995547396*b188*b193 - 
     1.97339610507841e-8*b188*b194 + 0.0008319061607479*b188*b195 + 
     0.0183210853956511*b188*b196 + 0.00961348822425385*b188*b197 - 
     0.490920253396553*b188*b198 - 5.2187695862946e-8*b188*b199 + 
     0.214849990590315*b188*b200 - 0.0244003328420344*b188*b201 - 
     0.00744235033612965*b189*b190 - 2.73514270976036e-7*b189*b191 - 
     0.0364030081913263*b189*b192 + 1.12470038699748*b189*b193 - 
     3.15013505350161e-8*b189*b194 - 2.99415962503993e-5*b189*b195 - 
     0.158170061001845*b189*b196 + 0.0156470029519826*b189*b197 - 
     1.01160223307903*b189*b198 - 0.00330873467230299*b189*b199 - 
     0.185860317204961*b189*b200 - 0.0235987849619864*b189*b201 - 
     1.89608291529027e-8*b190*b191 - 0.53198169333718*b190*b192 - 
     0.0061323307879181*b190*b193 + 1.42206643490257e-5*b190*b194 + 
     0.633332263947655*b190*b195 - 8.8987666547636e-8*b190*b196 + 
     0.217090682390644*b190*b197 - 6.1711668453075e-8*b190*b198 - 
     0.00134140004500354*b190*b199 - 3.54860351490673e-5*b190*b200 + 
     0.000376401277744873*b190*b201 + 0.00052720407277856*b191*b192 + 
     3.28929709926206e-7*b191*b193 - 1.81420943603153e-8*b191*b194 - 
     2.94000016476598e-8*b191*b195 - 1.84065863966999e-8*b191*b196 + 
     0.00122650803939287*b191*b197 + 8.52145922220055e-8*b191*b198 + 
     0.000663834158053775*b191*b199 + 1.80885035456627e-8*b191*b200 - 
     0.00635327460018965*b191*b201 - 0.0299959848756035*b192*b193 + 
     0.0884834595684975*b192*b195 + 0.125169991957244*b192*b196 + 
     0.692880138636675*b192*b197 + 0.0293369867067983*b192*b198 + 
     0.0010167966768364*b192*b199 - 0.0135009933827508*b192*b200 + 
     0.106319983333046*b192*b201 - 2.04582920520393e-8*b193*b194 - 
     2.45735744378288e-5*b193*b195 - 0.094263156882679*b193*b196 + 
     0.0128929939786711*b193*b197 - 0.389521885652103*b193*b198 - 
     0.00272638378351273*b193*b199 - 0.105130166800684*b193*b200 - 
     0.0127506112476679*b193*b201 + 5.5797032734059e-6*b194*b195 - 
     1.43593436778504e-8*b194*b196 - 1.66995249086949e-9*b194*b198 - 
     1.45671607051043e-9*b194*b199 - 0.180079919785993*b194*b201 - 
     1.30088223822387e-8*b195*b196 - 0.034626185016725*b195*b197 + 
     0.000622232931157195*b195*b199 - 0.000345626993418045*b195*b200 - 
     0.000169547190819552*b195*b201 + 0.274500003077335*b196*b197 - 
     0.000180786481222113*b196*b198 + 0.00206766900528795*b196*b199 + 
     0.00307830897671575*b196*b200 + 1.02139951558133*b196*b201 - 
     0.0126099937052571*b197*b198 - 0.000683148445857495*b197*b199 + 
     0.00580189730690945*b197*b200 + 0.216990007729115*b197*b201 + 
     4.44795874759004e-8*b198*b199 - 0.279470097299792*b198*b200 - 
     0.0053172685292831*b198*b201 + 0.0575780944829055*b199*b200 + 
     0.00103642421679963*b199*b201 + 0.0053616297816534*b200*b201) + objvar
      =E= 0;

e2..    b2 + b3 + b4 + b5 + b6 + b7 + b8 + b9 + b10 + b11 + b12 + b13 + b14
      + b15 + b16 + b17 + b18 + b19 + b20 + b21 + b22 + b23 + b24 + b25 + b26
      + b27 + b28 + b29 + b30 + b31 + b32 + b33 + b34 + b35 + b36 + b37 + b38
      + b39 + b40 + b41 + b42 + b43 + b44 + b45 + b46 + b47 + b48 + b49 + b50
      + b51 + b52 + b53 + b54 + b55 + b56 + b57 + b58 + b59 + b60 + b61 + b62
      + b63 + b64 + b65 + b66 + b67 + b68 + b69 + b70 + b71 + b72 + b73 + b74
      + b75 + b76 + b77 + b78 + b79 + b80 + b81 + b82 + b83 + b84 + b85 + b86
      + b87 + b88 + b89 + b90 + b91 + b92 + b93 + b94 + b95 + b96 + b97 + b98
      + b99 + b100 + b101 + b102 + b103 + b104 + b105 + b106 + b107 + b108
      + b109 + b110 + b111 + b112 + b113 + b114 + b115 + b116 + b117 + b118
      + b119 + b120 + b121 + b122 + b123 + b124 + b125 + b126 + b127 + b128
      + b129 + b130 + b131 + b132 + b133 + b134 + b135 + b136 + b137 + b138
      + b139 + b140 + b141 + b142 + b143 + b144 + b145 + b146 + b147 + b148
      + b149 + b150 + b151 + b152 + b153 + b154 + b155 + b156 + b157 + b158
      + b159 + b160 + b161 + b162 + b163 + b164 + b165 + b166 + b167 + b168
      + b169 + b170 + b171 + b172 + b173 + b174 + b175 + b176 + b177 + b178
      + b179 + b180 + b181 + b182 + b183 + b184 + b185 + b186 + b187 + b188
      + b189 + b190 + b191 + b192 + b193 + b194 + b195 + b196 + b197 + b198
      + b199 + b200 + b201 =L= 100;

e3..    211*b2 + 451*b3 + 667*b4 + 624*b5 + 791*b6 + 905*b7 + 876*b8 + 611*b9
      + 405*b10 + 13*b11 + 819*b12 + 410*b13 + 301*b14 + 989*b15 + 707*b16
      + 893*b17 + 477*b18 + 646*b19 + 229*b20 + 944*b21 + 489*b22 + 160*b23
      + 487*b24 + 978*b25 + 630*b26 + 710*b27 + 831*b28 + 605*b29 + 103*b30
      + 398*b31 + 375*b32 + 55*b33 + 834*b34 + 949*b35 + 528*b36 + 716*b37
      + 179*b38 + 56*b39 + 401*b40 + 544*b41 + 579*b42 + 677*b43 + 370*b44
      + 389*b45 + 905*b46 + 211*b47 + 643*b48 + 740*b49 + 326*b50 + 219*b51
      + 109*b52 + 727*b53 + 345*b54 + 16*b55 + 949*b56 + 293*b57 + 440*b58
      + 793*b59 + 944*b60 + 871*b61 + 402*b62 + 429*b63 + 803*b64 + 82*b65
      + 845*b66 + 2*b67 + 159*b68 + 698*b69 + 304*b70 + 809*b71 + 247*b72
      + 979*b73 + 792*b74 + 494*b75 + 822*b76 + 398*b77 + 265*b78 + 900*b79
      + 488*b80 + 187*b81 + 769*b82 + 42*b83 + 67*b84 + 973*b85 + 409*b86
      + 641*b87 + 612*b88 + 55*b89 + 480*b90 + 905*b91 + 730*b92 + 343*b93
      + 577*b94 + 662*b95 + 563*b96 + 838*b97 + 904*b98 + 307*b99 + 225*b100
      + 76*b101 + 680*b102 + 933*b103 + 655*b104 + 794*b105 + 769*b106
      + 556*b107 + 409*b108 + 25*b109 + 322*b110 + 436*b111 + 187*b112
      + 249*b113 + 496*b114 + 953*b115 + 233*b116 + 223*b117 + 772*b118
      + 196*b119 + 240*b120 + 782*b121 + 79*b122 + 672*b123 + 912*b124
      + 51*b125 + 450*b126 + 629*b127 + 335*b128 + 414*b129 + 157*b130
      + 261*b131 + 72*b132 + 747*b133 + 350*b134 + 269*b135 + 523*b136
      + 369*b137 + 14*b138 + 47*b139 + 130*b140 + 412*b141 + 434*b142
      + 403*b143 + 961*b144 + 737*b145 + 236*b146 + 464*b147 + 278*b148
      + 462*b149 + 982*b150 + 475*b151 + 657*b152 + 696*b153 + 884*b154
      + 231*b155 + 258*b156 + 286*b157 + 624*b158 + 634*b159 + 216*b160
      + 2*b161 + 411*b162 + 362*b163 + 587*b164 + 263*b165 + 93*b166 + 948*b167
      + 21*b168 + 909*b169 + 941*b170 + 837*b171 + 849*b172 + 53*b173
      + 826*b174 + 910*b175 + 596*b176 + 292*b177 + 97*b178 + 956*b179
      + 936*b180 + 734*b181 + 952*b182 + 824*b183 + 844*b184 + 429*b185
      + 849*b186 + 874*b187 + 549*b188 + 412*b189 + 376*b190 + 912*b191
      + 886*b192 + 864*b193 + 968*b194 + 281*b195 + 682*b196 + 777*b197
      + 334*b198 + 330*b199 + 588*b200 + 4*b201 =L= 51952.5;

e4..    90*b2 + 600*b3 + 796*b4 + 971*b5 + 111*b6 + 469*b7 + 640*b8 + 117*b9
      + 734*b10 + 971*b11 + 388*b12 + 30*b13 + 667*b14 + 334*b15 + 736*b16
      + 636*b17 + 2*b18 + 76*b19 + 873*b20 + 376*b21 + 565*b22 + 897*b23
      + 510*b24 + 450*b25 + 693*b26 + 298*b27 + 775*b28 + 477*b29 + 162*b30
      + 472*b31 + 151*b32 + 10*b33 + 838*b34 + 281*b35 + 763*b36 + 75*b37
      + 974*b38 + 817*b39 + 570*b40 + 442*b41 + 137*b42 + 594*b43 + 623*b44
      + 193*b45 + 127*b46 + 660*b47 + 321*b48 + 316*b49 + 856*b50 + 375*b51
      + 289*b52 + 212*b53 + 404*b54 + 621*b55 + 494*b56 + 97*b57 + 185*b58
      + 332*b59 + 922*b60 + 878*b61 + 704*b62 + 648*b63 + 497*b64 + 502*b65
      + 692*b66 + 425*b67 + 369*b68 + 903*b69 + 527*b70 + 359*b71 + 941*b72
      + 114*b73 + 49*b74 + 989*b75 + 623*b76 + 917*b77 + 515*b78 + 143*b79
      + 133*b80 + 526*b81 + 900*b82 + 908*b83 + 604*b84 + 753*b85 + 797*b86
      + 498*b87 + 111*b88 + 525*b89 + 492*b90 + 44*b91 + 301*b92 + 852*b93
      + 727*b94 + 887*b95 + 280*b96 + 412*b97 + 269*b98 + 830*b99 + 290*b100
      + 303*b101 + 239*b102 + 762*b103 + 708*b104 + 156*b105 + 753*b106
      + 860*b107 + 218*b108 + 839*b109 + 524*b110 + 700*b111 + 522*b112
      + 597*b113 + 419*b114 + 366*b115 + 958*b116 + 472*b117 + 236*b118
      + 402*b119 + 53*b120 + 340*b121 + 297*b122 + 152*b123 + 988*b124
      + 456*b125 + 674*b126 + 910*b127 + 848*b128 + 875*b129 + 787*b130
      + 737*b131 + 921*b132 + 546*b133 + 335*b134 + 913*b135 + 768*b136
      + 666*b137 + 684*b138 + 703*b139 + 945*b140 + 855*b141 + 268*b142
      + 975*b143 + 503*b144 + 250*b145 + 70*b146 + 647*b147 + 3*b148 + 428*b149
      + 662*b150 + 334*b151 + 390*b152 + 186*b153 + 154*b154 + 909*b155
      + 990*b156 + 243*b158 + 400*b159 + 718*b160 + 359*b161 + 810*b162
      + 122*b163 + 738*b164 + 999*b165 + 493*b166 + 653*b167 + 550*b168
      + 65*b169 + 733*b170 + 49*b171 + 911*b172 + 191*b173 + 913*b174
      + 653*b175 + 531*b176 + 807*b177 + 266*b178 + 592*b179 + 455*b180
      + 848*b181 + 649*b182 + 334*b183 + 201*b184 + 38*b185 + 123*b186
      + 257*b187 + 255*b188 + 362*b189 + 771*b190 + 316*b191 + 696*b192
      + 244*b193 + 366*b194 + 849*b195 + 953*b196 + 280*b197 + 393*b198
      + 788*b199 + 429*b200 + 115*b201 =L= 51151.5;

e5..    115*b2 + 301*b3 + 370*b4 + 944*b5 + 197*b6 + 558*b7 + 864*b8 + 762*b9
      + 22*b10 + 187*b11 + 734*b12 + 498*b13 + 229*b14 + 655*b15 + 588*b16
      + 523*b17 + 865*b18 + 373*b19 + 167*b20 + 824*b21 + 348*b22 + 454*b23
      + 685*b24 + 663*b25 + 415*b26 + 346*b27 + 321*b28 + 383*b29 + 867*b30
      + 552*b31 + 856*b32 + 795*b33 + 547*b35 + 696*b36 + 861*b37 + 611*b38
      + 942*b39 + 572*b40 + 885*b41 + 267*b42 + 727*b43 + 971*b44 + 234*b45
      + 447*b46 + 196*b47 + 403*b48 + 862*b49 + 790*b50 + 435*b51 + 823*b52
      + 370*b53 + 133*b54 + 17*b55 + 709*b56 + 154*b57 + 324*b58 + 942*b59
      + 290*b60 + 560*b61 + 807*b62 + 373*b63 + 913*b64 + 249*b65 + 184*b66
      + 634*b67 + 62*b68 + 813*b69 + 894*b70 + 59*b71 + 526*b72 + 895*b73
      + 446*b74 + 637*b75 + 350*b76 + 358*b77 + 770*b78 + 534*b79 + 56*b80
      + 149*b81 + 910*b82 + 336*b83 + 709*b84 + 643*b85 + 49*b86 + 83*b87
      + 492*b88 + 214*b89 + 422*b90 + 383*b91 + 719*b92 + 582*b93 + 524*b94
      + 749*b95 + 747*b96 + 675*b97 + 183*b98 + 148*b99 + 466*b100 + 807*b101
      + 242*b102 + 960*b103 + 396*b104 + 422*b105 + 337*b106 + 771*b107
      + 478*b108 + 773*b109 + 90*b110 + 195*b111 + 426*b112 + 921*b113
      + 206*b114 + 251*b115 + 906*b116 + 81*b117 + 318*b118 + 90*b119
      + 467*b120 + 687*b121 + 700*b122 + 526*b123 + 472*b124 + 896*b125
      + 466*b126 + 984*b127 + 586*b128 + 824*b129 + 278*b130 + 980*b131
      + 655*b132 + 111*b133 + 636*b134 + 712*b135 + 782*b136 + 870*b137
      + 667*b138 + 689*b139 + 504*b140 + 686*b141 + 623*b142 + 20*b143
      + 455*b144 + 845*b145 + 358*b146 + 872*b147 + 168*b148 + 12*b149
      + 538*b150 + 864*b151 + 237*b152 + 523*b153 + 844*b154 + 189*b155
      + 820*b156 + 329*b157 + 439*b158 + 540*b159 + 175*b160 + 45*b161
      + 417*b162 + 520*b163 + 294*b164 + 370*b165 + 212*b166 + 295*b167
      + 478*b168 + 458*b169 + 29*b170 + 52*b171 + 467*b172 + 882*b173
      + 230*b174 + 642*b175 + 820*b176 + 505*b177 + 372*b178 + 677*b179
      + 764*b180 + 830*b181 + 891*b182 + 260*b183 + 640*b184 + 792*b185
      + 569*b186 + 492*b187 + 125*b188 + 591*b189 + 55*b190 + 998*b191
      + 869*b192 + 12*b193 + 363*b194 + 886*b195 + 172*b196 + 75*b197
      + 923*b198 + 444*b199 + 678*b200 + 862*b201 =L= 50863.5;

e6..    345*b2 + 870*b3 + 540*b4 + 504*b5 + 472*b6 + 788*b7 + 979*b8 + 241*b9
      + 608*b10 + 764*b11 + 810*b12 + 206*b13 + 770*b14 + 214*b15 + 123*b16
      + 618*b17 + 827*b19 + 627*b20 + 604*b21 + 663*b22 + 470*b23 + 725*b24
      + 116*b25 + 432*b26 + 803*b27 + 455*b28 + 842*b29 + 652*b30 + 300*b31
      + 191*b32 + 473*b33 + 67*b34 + 520*b35 + 585*b36 + 444*b37 + 838*b38
      + 520*b39 + 22*b40 + 989*b41 + 806*b42 + 484*b43 + 14*b44 + 667*b45
      + 846*b46 + 199*b47 + 483*b48 + 728*b49 + 398*b50 + 725*b51 + 177*b52
      + 508*b53 + 503*b54 + 96*b55 + 415*b56 + 425*b57 + 799*b58 + 113*b59
      + 764*b60 + 758*b61 + 788*b62 + 108*b63 + 454*b64 + 571*b65 + 626*b66
      + 703*b67 + 529*b68 + 393*b69 + 802*b70 + 476*b71 + 441*b72 + 699*b73
      + 397*b74 + 408*b75 + 105*b76 + 942*b77 + 720*b78 + 472*b79 + 964*b80
      + 748*b81 + 393*b82 + 502*b83 + 885*b84 + 888*b85 + 725*b86 + 993*b87
      + 842*b88 + 994*b89 + 229*b90 + 991*b91 + 191*b92 + 459*b93 + 599*b94
      + 816*b95 + 284*b96 + 95*b97 + 759*b98 + 613*b99 + 201*b100 + 179*b101
      + 300*b102 + 501*b103 + 75*b104 + 760*b105 + 597*b106 + 179*b107
      + 764*b108 + 56*b109 + 959*b110 + 707*b111 + 743*b112 + 353*b113
      + 288*b114 + 109*b115 + 297*b116 + 85*b117 + 808*b118 + 169*b119
      + 887*b120 + 149*b121 + 390*b122 + 70*b123 + 661*b124 + 47*b125
      + 292*b126 + 535*b127 + 296*b128 + 274*b129 + 544*b130 + 690*b131
      + 120*b132 + 518*b133 + 548*b134 + 427*b135 + 23*b136 + 914*b137
      + 929*b138 + 519*b139 + 61*b140 + b141 + 807*b142 + 84*b143 + 204*b144
      + 297*b145 + 892*b146 + 716*b147 + 183*b148 + 478*b149 + 955*b150
      + 551*b151 + 720*b152 + 93*b153 + 808*b154 + 257*b155 + 656*b156
      + 545*b157 + 966*b158 + 884*b159 + 233*b160 + 170*b161 + 734*b162
      + 662*b163 + 521*b164 + 790*b165 + 315*b166 + 188*b167 + 56*b168
      + 499*b169 + 658*b170 + 511*b171 + 486*b172 + 828*b173 + 9*b174
      + 200*b175 + 793*b176 + 24*b177 + 803*b178 + 984*b179 + 87*b180
      + 847*b181 + 492*b182 + 95*b183 + 918*b184 + 584*b185 + 390*b186
      + 34*b187 + 772*b188 + 771*b189 + 807*b190 + 131*b191 + 799*b192
      + 500*b193 + 553*b194 + 57*b195 + 703*b196 + 376*b197 + 249*b198
      + 196*b199 + 109*b200 + 913*b201 =L= 50248.5;

e7..    764*b2 + 347*b3 + 664*b4 + 868*b5 + 425*b6 + 389*b7 + 2*b8 + 126*b9
      + 66*b10 + 685*b11 + 593*b12 + 367*b13 + 428*b14 + 854*b15 + 278*b16
      + 927*b17 + 862*b18 + 620*b19 + 597*b20 + 839*b21 + 665*b22 + 833*b23
      + 360*b24 + 331*b25 + 790*b26 + 825*b27 + 948*b28 + 742*b29 + 962*b30
      + 796*b31 + 417*b32 + 73*b33 + 103*b34 + 530*b35 + 146*b36 + 291*b37
      + 799*b38 + 397*b39 + 891*b40 + 172*b41 + 438*b42 + 268*b43 + 222*b44
      + 881*b45 + 728*b46 + 5*b47 + 48*b48 + 742*b49 + 461*b50 + 741*b51
      + 853*b52 + 214*b53 + 499*b54 + 858*b55 + 361*b56 + 952*b57 + 64*b58
      + 353*b59 + 739*b60 + 800*b61 + 824*b62 + 614*b63 + 421*b64 + 88*b65
      + 78*b66 + 171*b67 + 238*b68 + 264*b69 + 68*b70 + 505*b71 + 464*b72
      + 588*b73 + 101*b74 + 961*b75 + 252*b76 + 889*b77 + 542*b78 + 319*b79
      + 523*b80 + 641*b81 + 79*b82 + 863*b83 + 581*b84 + 51*b85 + 770*b86
      + 825*b87 + 633*b88 + 689*b89 + 689*b90 + 562*b91 + 926*b92 + 576*b93
      + 380*b94 + 11*b95 + 539*b96 + 245*b97 + 694*b98 + 959*b99 + 364*b100
      + 293*b101 + 525*b102 + 588*b103 + 205*b104 + 141*b105 + 606*b106
      + 412*b107 + 488*b108 + 513*b109 + 708*b110 + 295*b111 + 164*b112
      + 69*b113 + 27*b114 + 132*b115 + 674*b116 + 28*b117 + 592*b118 + 208*b119
      + 350*b120 + 201*b121 + 501*b122 + 896*b123 + 362*b124 + 582*b125
      + 197*b126 + 923*b127 + 128*b128 + 602*b129 + 333*b130 + 142*b131
      + 741*b132 + 496*b133 + 89*b134 + 239*b135 + 122*b136 + 35*b137
      + 651*b138 + 863*b139 + 292*b140 + 304*b141 + 890*b142 + 380*b143
      + 709*b144 + 87*b145 + 343*b146 + 932*b147 + 262*b148 + 46*b149
      + 149*b150 + 458*b151 + 909*b152 + 128*b153 + 529*b154 + 145*b155
      + 541*b156 + 550*b157 + 738*b158 + 923*b159 + 595*b160 + 923*b161
      + 345*b162 + 216*b163 + 505*b164 + 513*b165 + 609*b166 + 244*b167
      + 486*b168 + 83*b169 + 988*b170 + 700*b171 + 315*b172 + 36*b173
      + 320*b174 + 461*b175 + 342*b176 + 311*b177 + 363*b178 + 176*b179
      + 775*b180 + 831*b181 + 286*b182 + 638*b183 + 359*b184 + 870*b185
      + 436*b186 + 966*b187 + 630*b188 + 343*b189 + 614*b190 + 453*b191
      + 207*b192 + 563*b193 + 715*b194 + 784*b195 + 84*b196 + 755*b197
      + 776*b198 + 713*b199 + 701*b200 + 492*b201 =L= 48472;

e8..    543*b2 + 253*b3 + 916*b4 + 83*b5 + 870*b6 + 973*b7 + 944*b8 + 961*b9
      + 394*b10 + 163*b11 + 503*b12 + 136*b13 + 8*b14 + 102*b15 + 962*b16
      + 394*b17 + 894*b18 + 869*b19 + 613*b20 + 549*b21 + 690*b22 + 217*b23
      + 76*b24 + 430*b25 + 626*b26 + 734*b27 + 528*b28 + 174*b29 + 425*b30
      + 637*b31 + 164*b32 + 320*b33 + 110*b34 + 346*b35 + 974*b36 + 904*b37
      + 439*b38 + 86*b39 + 930*b40 + 953*b41 + 148*b42 + 91*b43 + 278*b44
      + 713*b45 + 405*b46 + 405*b47 + 381*b48 + 839*b49 + 844*b50 + 325*b51
      + 937*b52 + 820*b53 + 931*b54 + 939*b55 + 794*b56 + 828*b57 + 801*b58
      + 52*b59 + 537*b60 + 945*b61 + 438*b62 + 718*b63 + 540*b64 + 86*b65
      + 493*b66 + 182*b67 + 447*b68 + 934*b69 + 564*b70 + 682*b71 + 498*b72
      + 799*b73 + 306*b74 + 565*b75 + 723*b76 + 510*b77 + 314*b78 + 784*b79
      + 467*b80 + 449*b81 + 29*b82 + 999*b83 + 984*b84 + 697*b85 + 202*b86
      + 913*b87 + 58*b88 + 213*b89 + 964*b90 + 403*b91 + 472*b92 + 816*b93
      + 274*b94 + 380*b95 + 362*b96 + 794*b97 + 38*b98 + 271*b99 + 242*b100
      + 77*b101 + 942*b102 + 758*b103 + 371*b104 + 483*b105 + 589*b106
      + 529*b107 + 637*b108 + 192*b109 + 369*b110 + 486*b111 + 624*b112
      + 17*b113 + 18*b114 + 946*b115 + 494*b116 + 938*b117 + 289*b118
      + 408*b119 + 708*b120 + 877*b121 + 63*b122 + 989*b123 + 258*b124
      + 780*b125 + 229*b126 + 204*b127 + 531*b128 + 239*b129 + 797*b130
      + 592*b131 + 406*b132 + 494*b133 + 820*b134 + 339*b135 + 429*b136
      + 365*b137 + 935*b138 + 171*b139 + 656*b140 + 336*b141 + 923*b142
      + 970*b143 + 862*b144 + 714*b145 + 488*b146 + 223*b147 + 298*b148
      + 368*b149 + 12*b150 + 373*b151 + 921*b152 + 200*b153 + 857*b154
      + 334*b155 + 136*b156 + 717*b157 + 791*b158 + 640*b159 + 658*b160
      + 429*b161 + 270*b162 + 358*b163 + 420*b164 + 822*b165 + 41*b166
      + 981*b167 + 567*b168 + 782*b169 + 603*b170 + 721*b171 + 636*b172
      + 848*b173 + 703*b174 + 878*b175 + 981*b176 + 885*b177 + 832*b178
      + 29*b179 + 365*b180 + 507*b181 + 263*b182 + 12*b183 + 557*b184
      + 289*b185 + 710*b186 + 447*b187 + 806*b188 + 893*b189 + 96*b190
      + 1000*b191 + 283*b192 + 64*b193 + 327*b194 + 532*b195 + 487*b196
      + 109*b197 + 16*b198 + 565*b199 + 107*b200 + 906*b201 =L= 52256.5;

e9..    896*b2 + 744*b3 + 912*b4 + 661*b5 + 638*b6 + 625*b7 + 216*b8 + 123*b9
      + 597*b10 + 211*b11 + 311*b12 + 590*b13 + 857*b14 + 915*b15 + 665*b16
      + 965*b17 + 460*b18 + 171*b19 + 3*b20 + 257*b21 + 857*b22 + 294*b23
      + 182*b24 + 479*b25 + 567*b26 + 168*b27 + 66*b28 + 438*b29 + 656*b30
      + 438*b31 + 689*b32 + 342*b33 + 448*b34 + 72*b35 + 716*b36 + 944*b37
      + 711*b38 + 993*b39 + 937*b40 + 554*b41 + 666*b42 + 962*b43 + 521*b44
      + 988*b45 + 296*b46 + 577*b47 + 973*b48 + 903*b49 + 910*b50 + 451*b51
      + 199*b52 + 914*b53 + 618*b54 + 805*b55 + 275*b56 + 997*b57 + 19*b58
      + 783*b59 + 742*b60 + 587*b61 + 786*b62 + 943*b63 + 861*b64 + 418*b65
      + 781*b66 + 261*b67 + 430*b68 + 770*b69 + 635*b70 + 930*b71 + 886*b72
      + 560*b73 + 425*b74 + 308*b75 + 205*b76 + 643*b77 + 772*b78 + 164*b79
      + 460*b80 + 541*b81 + 744*b82 + 898*b83 + 570*b84 + 839*b85 + 887*b86
      + 479*b87 + 788*b88 + 752*b89 + 168*b90 + 952*b91 + 231*b92 + 79*b93
      + 201*b94 + 760*b95 + 555*b96 + 680*b97 + 889*b98 + 529*b99 + 872*b100
      + 258*b101 + 646*b102 + 892*b103 + 679*b104 + 862*b105 + 52*b106
      + 25*b107 + 740*b108 + 555*b109 + 765*b110 + 61*b111 + 855*b112 + 81*b113
      + 925*b114 + 970*b115 + 772*b116 + 22*b117 + 322*b118 + 774*b119
      + 247*b120 + 386*b121 + 542*b122 + 695*b123 + 247*b124 + 425*b125
      + 978*b126 + 799*b127 + 966*b128 + 415*b129 + 637*b130 + 481*b131
      + 659*b132 + 242*b133 + 716*b134 + 675*b135 + 179*b136 + 880*b137
      + 503*b138 + 221*b139 + 325*b140 + 500*b141 + 736*b142 + 690*b143
      + 508*b144 + 516*b145 + 715*b146 + 329*b147 + 365*b148 + 326*b149
      + 414*b150 + 446*b151 + 670*b152 + 282*b153 + 701*b154 + 584*b155
      + 134*b156 + 296*b157 + 38*b158 + 549*b159 + 990*b160 + 347*b161
      + 152*b162 + 742*b163 + 739*b164 + 755*b165 + 215*b166 + 98*b167
      + 968*b168 + 449*b169 + 640*b170 + 800*b171 + 613*b172 + 353*b173
      + 703*b174 + 612*b175 + 636*b176 + 550*b177 + 90*b178 + 997*b179
      + 530*b180 + 701*b181 + 659*b182 + 54*b183 + 122*b184 + 5*b185 + 182*b186
      + 899*b187 + 402*b188 + 886*b189 + 64*b190 + 762*b191 + 480*b192
      + 819*b193 + 463*b194 + 58*b195 + 6*b196 + 57*b197 + 598*b198 + 355*b199
      + 17*b200 + 191*b201 =L= 54119;

e10..    552*b2 + 789*b3 + 500*b4 + 912*b5 + 161*b6 + 235*b7 + 717*b8 + 375*b9
       + 30*b10 + 694*b11 + 471*b12 + 945*b13 + 392*b14 + 691*b15 + 452*b16
       + 378*b17 + 620*b18 + 850*b19 + 755*b20 + 342*b21 + 572*b22 + 526*b23
       + 253*b24 + 506*b25 + 446*b26 + 433*b27 + 491*b28 + 528*b29 + 27*b30
       + 47*b31 + 327*b32 + 474*b33 + 394*b34 + 820*b35 + 698*b36 + 587*b37
       + 760*b38 + 23*b39 + 989*b40 + 286*b41 + 924*b42 + 488*b43 + 221*b44
       + 311*b45 + 809*b46 + 391*b47 + 643*b48 + 983*b49 + 547*b50 + 105*b51
       + 143*b52 + 999*b53 + 973*b54 + 123*b55 + 391*b56 + 229*b57 + 481*b58
       + 456*b59 + 681*b60 + 334*b61 + 312*b62 + 913*b63 + 828*b64 + 21*b65
       + 906*b66 + 742*b67 + 918*b68 + 29*b69 + 376*b70 + 197*b71 + 963*b72
       + 680*b73 + 461*b74 + 121*b75 + 647*b76 + 147*b77 + 893*b78 + 843*b79
       + 151*b80 + 416*b81 + 741*b82 + 330*b83 + 352*b84 + 379*b85 + 734*b86
       + 413*b87 + 406*b88 + 90*b89 + 417*b90 + 684*b91 + 820*b92 + 862*b93
       + 615*b94 + 602*b95 + 717*b96 + 997*b97 + 636*b98 + 464*b99 + 841*b100
       + 307*b101 + 189*b102 + 761*b103 + 219*b104 + 959*b105 + 864*b106
       + 546*b107 + 883*b108 + 989*b109 + 744*b110 + 302*b111 + 325*b112
       + 622*b113 + 757*b114 + 34*b115 + 653*b116 + 334*b117 + 648*b118
       + 266*b119 + 975*b120 + 471*b121 + 99*b122 + 525*b123 + 290*b124
       + 99*b125 + 514*b126 + 850*b127 + 584*b128 + 655*b129 + 208*b130
       + 694*b131 + 854*b132 + 455*b133 + 298*b134 + 827*b135 + 369*b136
       + 442*b137 + 506*b138 + 114*b139 + 173*b140 + 381*b141 + 531*b142
       + 64*b143 + 680*b144 + 72*b145 + 497*b146 + 95*b147 + 902*b148 + 24*b149
       + 594*b150 + 496*b151 + 176*b152 + 237*b153 + 525*b154 + 824*b155
       + 930*b156 + 878*b157 + 355*b158 + 175*b159 + 422*b160 + 919*b161
       + 200*b162 + 595*b163 + 890*b164 + 655*b165 + 283*b166 + 221*b167
       + 616*b168 + 741*b169 + 243*b170 + 167*b171 + 216*b172 + 610*b173
       + 734*b174 + 858*b175 + 638*b176 + 602*b177 + 292*b178 + 108*b179
       + 749*b180 + 490*b181 + 140*b182 + 881*b183 + 470*b184 + 120*b185
       + 143*b186 + 933*b187 + 88*b188 + 193*b189 + 423*b190 + 474*b191
       + 519*b192 + 944*b193 + 306*b194 + 976*b195 + 848*b196 + 126*b197
       + 638*b198 + 220*b199 + 81*b200 + 359*b201 =L= 50457.5;

e11..    982*b2 + 295*b3 + 2*b4 + 61*b5 + 667*b6 + 104*b7 + 849*b8 + 494*b9
       + 686*b10 + 996*b11 + 430*b12 + 520*b13 + 412*b14 + 45*b15 + 566*b16
       + 146*b17 + 519*b18 + 270*b19 + 990*b20 + 934*b21 + 473*b22 + 205*b23
       + 597*b24 + 265*b25 + 186*b26 + 812*b27 + 877*b28 + 256*b29 + 486*b30
       + 74*b31 + 64*b32 + 647*b33 + 209*b34 + 756*b35 + 101*b36 + 231*b37
       + 478*b38 + 816*b39 + 62*b40 + 888*b41 + 700*b42 + 41*b43 + 186*b44
       + 562*b45 + 266*b46 + 730*b47 + 635*b48 + 374*b49 + 537*b50 + 518*b51
       + 66*b52 + 875*b53 + 660*b54 + 308*b55 + 272*b56 + 74*b57 + 265*b58
       + 506*b59 + 970*b60 + 733*b61 + 142*b62 + 66*b63 + 161*b64 + 109*b65
       + 553*b66 + 676*b67 + 515*b68 + 774*b69 + 687*b70 + 30*b71 + 149*b72
       + 609*b73 + 720*b74 + 618*b75 + 711*b76 + 720*b77 + 19*b78 + 612*b79
       + 802*b80 + 772*b81 + 119*b82 + 766*b83 + 801*b84 + 740*b85 + 610*b86
       + 481*b87 + 764*b88 + 318*b89 + 248*b90 + 326*b91 + 345*b92 + 840*b93
       + 77*b94 + 545*b95 + 390*b96 + 900*b97 + 785*b98 + 424*b99 + 472*b100
       + 882*b101 + 571*b102 + 722*b103 + 394*b104 + 966*b105 + 799*b106
       + 746*b107 + 232*b108 + 114*b109 + 387*b110 + 774*b111 + 280*b112
       + 653*b113 + 75*b114 + 126*b115 + 675*b116 + 91*b117 + 809*b118
       + 363*b119 + 782*b120 + 425*b121 + 668*b122 + 734*b123 + 634*b124
       + 919*b125 + 789*b126 + 483*b127 + 790*b128 + 826*b129 + 163*b130
       + 697*b131 + 855*b132 + 482*b133 + 177*b134 + 954*b135 + 735*b136
       + 949*b137 + 551*b138 + 982*b139 + 694*b140 + 533*b141 + 815*b142
       + 201*b143 + 674*b144 + 744*b145 + 183*b146 + 239*b147 + 975*b148
       + 23*b149 + 801*b150 + 194*b151 + 731*b152 + 505*b153 + 693*b154
       + 814*b155 + 374*b156 + 955*b157 + 929*b158 + 34*b159 + 676*b160
       + 518*b161 + 929*b162 + 614*b163 + 643*b164 + 192*b165 + 749*b166
       + 700*b167 + 495*b168 + 36*b169 + 273*b170 + 530*b171 + 187*b172
       + 478*b173 + 785*b174 + 67*b175 + 950*b176 + 499*b177 + 854*b178
       + 761*b179 + 622*b180 + 824*b181 + 31*b182 + 369*b183 + 665*b184
       + 779*b185 + 967*b186 + 870*b187 + 687*b188 + 428*b189 + 126*b190
       + 710*b191 + 328*b192 + 347*b193 + 140*b194 + 654*b195 + 162*b196
       + 598*b197 + 326*b198 + 83*b199 + 660*b200 + 770*b201 =L= 51786;

e12..    515*b2 + 55*b3 + 239*b4 + 25*b5 + 3*b6 + 151*b7 + 218*b8 + 522*b9
       + 528*b10 + 532*b11 + 926*b12 + 8*b13 + 461*b14 + 587*b15 + 68*b16
       + 9*b17 + 448*b18 + 821*b19 + 103*b20 + 675*b21 + 265*b22 + 355*b23
       + 247*b24 + 849*b25 + 841*b26 + 298*b27 + 927*b28 + 934*b29 + 856*b30
       + 502*b31 + 644*b32 + 402*b33 + 984*b34 + 678*b35 + 848*b36 + 74*b37
       + 45*b38 + 304*b39 + 89*b40 + 868*b41 + 30*b42 + 119*b43 + 241*b44
       + 450*b45 + 691*b46 + 71*b47 + 502*b48 + 515*b49 + 875*b50 + 606*b51
       + 440*b52 + 695*b53 + 983*b54 + 367*b55 + 460*b56 + 518*b57 + 259*b58
       + 340*b59 + 298*b60 + 164*b61 + 446*b62 + 4*b63 + 796*b64 + 779*b65
       + 131*b66 + 520*b67 + 813*b68 + 545*b69 + 538*b70 + 686*b71 + 92*b72
       + 456*b73 + 594*b74 + 369*b75 + 42*b76 + 875*b77 + 532*b78 + 542*b79
       + 965*b80 + 991*b81 + 42*b82 + 607*b83 + 252*b84 + 226*b85 + 37*b86
       + 404*b87 + 661*b88 + 444*b89 + 185*b90 + 512*b91 + 452*b92 + 587*b93
       + 272*b94 + 71*b95 + 938*b96 + 678*b97 + 468*b98 + 644*b99 + 777*b100
       + 847*b101 + 347*b102 + 747*b103 + 799*b104 + 879*b105 + 718*b106
       + 482*b107 + 477*b108 + 317*b109 + 717*b110 + 64*b111 + 205*b112
       + 661*b113 + 871*b114 + 890*b115 + 91*b116 + 48*b117 + 526*b118
       + 652*b119 + 304*b120 + 728*b121 + 352*b122 + 451*b123 + 371*b124
       + 623*b125 + 707*b126 + 49*b127 + 952*b128 + 669*b129 + 854*b130
       + 604*b131 + 857*b132 + 617*b133 + 76*b134 + 135*b135 + 353*b136
       + 65*b137 + 952*b138 + 682*b139 + 460*b140 + 92*b141 + 893*b142
       + 691*b143 + 536*b144 + 180*b145 + 473*b146 + 913*b147 + 952*b148
       + 581*b149 + 871*b150 + 502*b151 + 466*b152 + 558*b153 + 357*b154
       + 632*b155 + 516*b156 + 118*b157 + 452*b158 + 168*b159 + 283*b160
       + 382*b161 + 363*b162 + 196*b163 + 455*b164 + 485*b165 + 14*b166
       + 778*b167 + 379*b168 + 143*b169 + 950*b170 + 211*b171 + 311*b172
       + 325*b173 + 484*b174 + 549*b175 + 126*b176 + 695*b177 + 906*b178
       + 874*b179 + 140*b180 + 595*b181 + 193*b182 + 903*b183 + 640*b184
       + 632*b185 + 247*b186 + 460*b187 + 512*b188 + 656*b189 + 702*b190
       + 448*b191 + 483*b192 + 587*b193 + 651*b194 + 228*b195 + 532*b196
       + 955*b197 + 332*b198 + 629*b199 + 236*b200 + 464*b201 =L= 48392.5;

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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