#  MINLP written by GAMS Convert at 05/11/18 16:52:36
#  
#  Equation counts
#      Total        E        G        L        N        X        C        B
#          4        0        2        2        0        0        0        0
#  
#  Variable counts
#                   x        b        i      s1s      s2s       sc       si
#      Total     cont   binary  integer     sos1     sos2    scont     sint
#        101        1        0      100        0        0        0        0
#  FX      0        0        0        0        0        0        0        0
#  
#  Nonzero counts
#      Total    const       NL      DLL
#        401      301      100        0


var i1 integer >= 0;
var i2 integer >= 0;
var i3 integer >= 0;
var i4 integer >= 0;
var i5 integer >= 0;
var i6 integer >= 0;
var i7 integer >= 0;
var i8 integer >= 0;
var i9 integer >= 0;
var i10 integer >= 0;
var i11 integer >= 0;
var i12 integer >= 0;
var i13 integer >= 0;
var i14 integer >= 0;
var i15 integer >= 0;
var i16 integer >= 0;
var i17 integer >= 0;
var i18 integer >= 0;
var i19 integer >= 0;
var i20 integer >= 0;
var i21 integer >= 0;
var i22 integer >= 0;
var i23 integer >= 0;
var i24 integer >= 0;
var i25 integer >= 0;
var i26 integer >= 0;
var i27 integer >= 0;
var i28 integer >= 0;
var i29 integer >= 0;
var i30 integer >= 0;
var i31 integer >= 0;
var i32 integer >= 0;
var i33 integer >= 0;
var i34 integer >= 0;
var i35 integer >= 0;
var i36 integer >= 0;
var i37 integer >= 0;
var i38 integer >= 0;
var i39 integer >= 0;
var i40 integer >= 0;
var i41 integer >= 0;
var i42 integer >= 0;
var i43 integer >= 0;
var i44 integer >= 0;
var i45 integer >= 0;
var i46 integer >= 0;
var i47 integer >= 0;
var i48 integer >= 0;
var i49 integer >= 0;
var i50 integer >= 0;
var i51 integer >= 0;
var i52 integer >= 0;
var i53 integer >= 0;
var i54 integer >= 0;
var i55 integer >= 0;
var i56 integer >= 0;
var i57 integer >= 0;
var i58 integer >= 0;
var i59 integer >= 0;
var i60 integer >= 0;
var i61 integer >= 0;
var i62 integer >= 0;
var i63 integer >= 0;
var i64 integer >= 0;
var i65 integer >= 0;
var i66 integer >= 0;
var i67 integer >= 0;
var i68 integer >= 0;
var i69 integer >= 0;
var i70 integer >= 0;
var i71 integer >= 0;
var i72 integer >= 0;
var i73 integer >= 0;
var i74 integer >= 0;
var i75 integer >= 0;
var i76 integer >= 0;
var i77 integer >= 0;
var i78 integer >= 0;
var i79 integer >= 0;
var i80 integer >= 0;
var i81 integer >= 0;
var i82 integer >= 0;
var i83 integer >= 0;
var i84 integer >= 0;
var i85 integer >= 0;
var i86 integer >= 0;
var i87 integer >= 0;
var i88 integer >= 0;
var i89 integer >= 0;
var i90 integer >= 0;
var i91 integer >= 0;
var i92 integer >= 0;
var i93 integer >= 0;
var i94 integer >= 0;
var i95 integer >= 0;
var i96 integer >= 0;
var i97 integer >= 0;
var i98 integer >= 0;
var i99 integer >= 0;
var i100 integer >= 0;
var x101;

minimize obj: x101;

subject to

e1: 0.00841507*i1^2 + 0.0222536*i2^2 + 0.0056479*i3^2 + 0.00333322*i4^2 + 
    0.00490963*i5^2 + 0.0221034*i6^2 + 0.00509899*i7^2 + 0.049464*i8^2 + 
    0.0171508*i9^2 + 0.0064643*i10^2 + 0.0218437*i11^2 + 0.00346366*i12^2 + 
    0.0458502*i13^2 + 0.0747061*i14^2 + 0.0196511*i15^2 + 0.014222*i16^2 + 
    0.0147535*i17^2 + 0.00398615*i18^2 + 0.00644484*i19^2 + 0.0322232*i20^2 + 
    0.00887889*i21^2 + 0.0434025*i22^2 + 0.00981376*i23^2 + 0.0133193*i24^2 + 
    0.00471036*i25^2 + 0.00359843*i26^2 + 0.0112312*i27^2 + 0.00476479*i28^2 + 
    0.00356255*i29^2 + 0.0730121*i30^2 + 0.00785721*i31^2 + 0.0243787*i32^2 + 
    0.0171188*i33^2 + 0.00439547*i34^2 + 0.00502594*i35^2 + 0.0580619*i36^2 + 
    0.0135984*i37^2 + 0.00254137*i38^2 + 0.0153341*i39^2 + 0.109758*i40^2 + 
    0.0346065*i41^2 + 0.0127589*i42^2 + 0.011147*i43^2 + 0.0156318*i44^2 + 
    0.00556588*i45^2 + 0.00302864*i46^2 + 0.0214898*i47^2 + 0.00499587*i48^2 + 
    0.00864393*i49^2 + 0.0228248*i50^2 + 0.0077726*i51^2 + 0.00992767*i52^2 + 
    0.0184506*i53^2 + 0.0113481*i54^2 + 0.0067583*i55^2 + 0.0150416*i56^2 + 
    0.00324193*i57^2 + 0.00478196*i58^2 + 0.0132471*i59^2 + 0.00273446*i60^2 + 
    0.0282459*i61^2 + 0.0230221*i62^2 + 0.0240972*i63^2 + 0.00829946*i64^2 + 
    0.00688665*i65^2 + 0.00858803*i66^2 + 0.00778038*i67^2 + 0.0082583*i68^2 + 
    0.022885*i69^2 + 0.00568332*i70^2 + 0.0234021*i71^2 + 0.00924249*i72^2 + 
    0.00669675*i73^2 + 0.0109501*i74^2 + 0.00663385*i75^2 + 0.00328058*i76^2 + 
    0.0112814*i77^2 + 0.00341076*i78^2 + 0.0400653*i79^2 + 0.00876827*i80^2 + 
    0.0138276*i81^2 + 0.00246987*i82^2 + 0.0406516*i83^2 + 0.00947194*i84^2 + 
    0.00647449*i85^2 + 0.0107715*i86^2 + 0.00803069*i87^2 + 0.106502*i88^2 + 
    0.00815263*i89^2 + 0.0171707*i90^2 + 0.0163522*i91^2 + 0.00911726*i92^2 + 
    0.00287317*i93^2 + 0.00360309*i94^2 + 0.00699161*i95^2 + 0.0340959*i96^2 + 
    0.00958446*i97^2 + 0.0147951*i98^2 + 0.0177595*i99^2 + 0.0208523*i100^2 + 
    0.00692522*i1*i2 + 0.00066464*i1*i3 + 0.00388744*i1*i4 + 0.001108218*i1*i5
     + 0.0046712*i1*i6 + 0.00771824*i1*i7 + 0.0020653*i1*i8 + 0.001524626*i1*i9
     + 0.00484724*i1*i10 + 0.00733242*i1*i11 + 0.00556218*i1*i12 + 0.0052571*i1
    *i13 + 0.0218926*i1*i14 + 0.01352862*i1*i15 + 0.00549784*i1*i16 + 
    0.00235342*i1*i17 + 0.00448206*i1*i18 + 0.0072148*i1*i19 + 0.00958894*i1*
    i20 + 0.00376328*i1*i21 + 0.0117501*i1*i22 + 0.00575998*i1*i23 - 
    0.000109147*i1*i24 + 0.000604944*i1*i25 + 0.00473296*i1*i26 + 0.000356572*
    i1*i27 - 0.001552262*i1*i28 + 0.00119092*i1*i29 + 0.01373684*i1*i30 + 
    0.0059113*i1*i31 + 0.00623524*i1*i32 + 0.00801204*i1*i33 + 0.00108736*i1*
    i34 + 0.001491474*i1*i35 + 0.01080356*i1*i36 + 0.00559202*i1*i37 + 
    7.8057e-6*i1*i38 + 0.00831004*i1*i39 + 0.001096208*i1*i40 + 0.001136658*i1*
    i41 + 0.0073715*i1*i42 + 0.000726938*i1*i43 + 0.00621872*i1*i44 + 
    0.00646596*i1*i45 + 0.00441466*i1*i46 + 0.001262528*i1*i47 + 0.00567366*i1*
    i48 + 0.00690472*i1*i49 + 0.01140754*i1*i50 + 0.00275514*i1*i51 + 
    0.00633434*i1*i52 + 0.00842252*i1*i53 + 0.00674544*i1*i54 + 0.00577156*i1*
    i55 + 0.000723972*i1*i56 + 0.00617654*i1*i57 + 0.00426758*i1*i58 + 
    0.00581362*i1*i59 + 0.00305964*i1*i60 + 0.00915838*i1*i61 + 0.00408204*i1*
    i62 + 0.00526036*i1*i63 + 0.00641708*i1*i64 + 0.001311362*i1*i65 + 
    0.00589896*i1*i66 + 0.001450664*i1*i67 + 0.0054669*i1*i68 + 0.00759698*i1*
    i69 + 0.0069591*i1*i70 + 0.0023689*i1*i71 + 0.0026146*i1*i72 + 0.00520422*
    i1*i73 + 0.00959956*i1*i74 + 0.00799166*i1*i75 + 0.00256248*i1*i76 + 
    0.01210352*i1*i77 + 0.00469514*i1*i78 + 0.00329676*i1*i79 + 0.0068214*i1*
    i80 + 0.00190637*i1*i81 + 0.00256972*i1*i82 - 0.00577696*i1*i83 + 
    0.00245394*i1*i84 + 0.00585966*i1*i85 + 0.00330078*i1*i86 + 0.00362852*i1*
    i87 + 0.0064137*i1*i88 + 0.00375038*i1*i89 + 0.00666048*i1*i90 + 0.00942176
    *i1*i91 + 0.00379828*i1*i92 + 0.00246526*i1*i93 + 0.0029997*i1*i94 + 
    0.00592606*i1*i95 + 0.0136565*i1*i96 + 0.00562112*i1*i97 + 0.0031101*i1*i98
     + 0.00328418*i1*i99 + 0.00992138*i1*i100 + 0.01159836*i2*i3 + 0.00432612*
    i2*i4 + 0.01055774*i2*i5 + 0.0235592*i2*i6 + 0.0053913*i2*i7 + 0.01748966*
    i2*i8 + 0.01322526*i2*i9 + 0.01103896*i2*i10 + 0.001420928*i2*i11 + 
    0.00303766*i2*i12 + 0.0325414*i2*i13 + 0.0528886*i2*i14 + 0.0344486*i2*i15
     + 0.01889664*i2*i16 + 0.01085498*i2*i17 + 0.01133696*i2*i18 + 0.0105108*i2
    *i19 + 0.041965*i2*i20 + 0.01908526*i2*i21 + 0.0438608*i2*i22 + 0.01760436*
    i2*i23 + 0.0177692*i2*i24 + 0.01401386*i2*i25 + 0.01130076*i2*i26 + 
    0.0201926*i2*i27 + 0.00893526*i2*i28 + 0.01013464*i2*i29 + 0.0522552*i2*i30
     + 0.00674062*i2*i31 + 0.0386894*i2*i32 + 0.01840562*i2*i33 + 0.0079061*i2*
    i34 + 0.01050574*i2*i35 + 0.038882*i2*i36 + 0.0209782*i2*i37 + 0.00569346*
    i2*i38 + 0.0259324*i2*i39 + 0.0472088*i2*i40 + 0.0282636*i2*i41 + 0.0225892
    *i2*i42 + 0.01104052*i2*i43 + 0.0218496*i2*i44 + 0.00682534*i2*i45 + 
    0.01022898*i2*i46 + 0.0273094*i2*i47 + 0.01045064*i2*i48 + 0.01767338*i2*
    i49 + 0.0311902*i2*i50 + 0.0126455*i2*i51 + 0.0206168*i2*i52 + 0.0261894*i2
    *i53 + 0.024527*i2*i54 + 0.01734138*i2*i55 + 0.01224052*i2*i56 + 0.01152072
    *i2*i57 + 0.01028864*i2*i58 + 0.01883544*i2*i59 + 0.00908648*i2*i60 + 
    0.0449708*i2*i61 + 0.0363664*i2*i62 + 0.01577062*i2*i63 + 0.01266282*i2*i64
     + 0.01385216*i2*i65 + 0.00440902*i2*i66 + 0.01711764*i2*i67 + 0.0110787*i2
    *i68 + 0.0341778*i2*i69 + 0.0156542*i2*i70 + 0.01891112*i2*i71 + 0.0216326*
    i2*i72 + 0.01534328*i2*i73 + 0.01661334*i2*i74 + 0.01534594*i2*i75 + 
    0.01116732*i2*i76 + 0.01402982*i2*i77 + 0.00963242*i2*i78 + 0.0200668*i2*
    i79 + 0.01379116*i2*i80 + 0.01910046*i2*i81 + 0.0077605*i2*i82 - 
    0.000954558*i2*i83 + 0.01255918*i2*i84 + 0.0126639*i2*i85 + 0.0201936*i2*
    i86 + 0.017931*i2*i87 + 0.0389418*i2*i88 + 0.00845916*i2*i89 + 0.0267914*i2
    *i90 + 0.0193905*i2*i91 + 0.01261014*i2*i92 + 0.0069012*i2*i93 + 0.00876014
    *i2*i94 + 0.01829908*i2*i95 + 0.0373396*i2*i96 + 0.0211262*i2*i97 + 
    0.01549032*i2*i98 + 0.0247114*i2*i99 + 0.0324248*i2*i100 - 0.000720538*i3*
    i4 + 0.00453322*i3*i5 + 0.00638226*i3*i6 + 0.000938158*i3*i7 + 0.0035154*i3
    *i8 + 0.00681962*i3*i9 + 0.006345*i3*i10 + 0.00232904*i3*i11 - 0.00054599*
    i3*i12 + 0.01850556*i3*i13 + 0.01892336*i3*i14 + 0.00820906*i3*i15 + 
    0.00848796*i3*i16 + 0.0100743*i3*i17 + 0.00327798*i3*i18 + 0.000498452*i3*
    i19 + 0.01775572*i3*i20 + 0.00919688*i3*i21 + 0.01282772*i3*i22 + 
    0.00853066*i3*i23 + 0.00506148*i3*i24 + 0.004557*i3*i25 + 0.001737768*i3*
    i26 + 0.00560326*i3*i27 + 0.00374962*i3*i28 + 0.000427408*i3*i29 + 
    0.01831098*i3*i30 + 0.00791496*i3*i31 + 0.01306*i3*i32 + 0.0143109*i3*i33
     + 0.00324578*i3*i34 + 0.00289704*i3*i35 + 0.01899172*i3*i36 + 0.00855898*
    i3*i37 + 0.000764782*i3*i38 + 0.01045622*i3*i39 + 0.0241684*i3*i40 + 
    0.01022702*i3*i41 + 0.0096569*i3*i42 + 0.00605256*i3*i43 + 0.0087656*i3*i44
     + 0.00231868*i3*i45 + 0.003075*i3*i46 + 0.00904418*i3*i47 + 0.00346386*i3*
    i48 + 0.00970054*i3*i49 + 0.0107517*i3*i50 + 0.00833706*i3*i51 + 0.00601022
    *i3*i52 + 0.00885472*i3*i53 + 0.0087269*i3*i54 + 0.00799796*i3*i55 + 
    0.0077742*i3*i56 + 0.00233028*i3*i57 + 0.00392772*i3*i58 + 0.00960436*i3*
    i59 + 0.000506858*i3*i60 + 0.01485036*i3*i61 + 0.01172454*i3*i62 + 
    0.00763564*i3*i63 + 0.00510368*i3*i64 + 0.00739458*i3*i65 + 0.00321864*i3*
    i66 + 0.00506992*i3*i67 + 0.001582392*i3*i68 + 0.0133327*i3*i69 + 
    0.00346984*i3*i70 + 0.00591914*i3*i71 + 0.0050918*i3*i72 + 0.00762942*i3*
    i73 + 0.0072567*i3*i74 + 0.0028432*i3*i75 + 0.00258746*i3*i76 + 0.00665946*
    i3*i77 + 0.001559716*i3*i78 + 0.0114221*i3*i79 + 0.00359546*i3*i80 + 
    0.00675946*i3*i81 + 0.001328782*i3*i82 + 0.00450512*i3*i83 + 0.00859628*i3*
    i84 + 0.00541618*i3*i85 + 0.01126372*i3*i86 + 0.00604642*i3*i87 + 
    0.01802074*i3*i88 + 0.0056414*i3*i89 + 0.00952436*i3*i90 + 0.00568388*i3*
    i91 + 0.0086732*i3*i92 + 0.001482822*i3*i93 + 0.0026677*i3*i94 + 0.00675394
    *i3*i95 + 0.01169216*i3*i96 + 0.0076724*i3*i97 + 0.00761804*i3*i98 + 
    0.01192344*i3*i99 + 0.01326866*i3*i100 + 0.00169903*i4*i5 + 0.00300136*i4*
    i6 + 0.00385392*i4*i7 + 0.00382362*i4*i8 + 0.00575034*i4*i9 + 0.00125203*i4
    *i10 + 0.000828078*i4*i11 + 0.00404896*i4*i12 - 0.001180878*i4*i13 + 
    0.00956206*i4*i14 + 0.00571904*i4*i15 + 0.0047927*i4*i16 + 0.001736122*i4*
    i17 + 0.001900434*i4*i18 + 0.00498296*i4*i19 + 0.0055112*i4*i20 + 
    0.00199047*i4*i21 + 0.00302926*i4*i22 + 0.001107052*i4*i23 + 0.0032099*i4*
    i24 + 0.00202704*i4*i25 + 0.0049441*i4*i26 + 0.00296714*i4*i27 + 
    0.001430786*i4*i28 + 0.00335542*i4*i29 + 0.0072271*i4*i30 + 0.001983328*i4*
    i31 + 0.00263338*i4*i32 + 0.0034098*i4*i33 + 0.001978102*i4*i34 + 
    0.00248436*i4*i35 + 0.001037234*i4*i36 + 0.001931824*i4*i37 + 0.00154955*i4
    *i38 + 0.00293776*i4*i39 - 0.01282698*i4*i40 + 0.001937926*i4*i41 + 
    0.0052959*i4*i42 + 0.001856036*i4*i43 + 0.000740384*i4*i44 + 0.00372246*i4*
    i45 + 0.00362974*i4*i46 + 0.001687258*i4*i47 + 0.00297792*i4*i48 + 
    0.0024381*i4*i49 + 0.00581304*i4*i50 + 0.000775592*i4*i51 + 0.00512872*i4*
    i52 + 0.00302932*i4*i53 + 0.00451004*i4*i54 + 0.00355054*i4*i55 + 
    0.000365898*i4*i56 + 0.00396452*i4*i57 + 0.00218522*i4*i58 + 0.001602712*i4
    *i59 + 0.00378946*i4*i60 + 0.00528342*i4*i61 + 0.00345546*i4*i62 + 
    0.0072364*i4*i63 + 0.00460504*i4*i64 + 0.00362066*i4*i65 + 0.00176825*i4*
    i66 + 0.00326082*i4*i67 + 0.00494324*i4*i68 + 0.00478058*i4*i69 + 0.0047424
    *i4*i70 + 0.00406804*i4*i71 + 0.00356438*i4*i72 + 0.0039191*i4*i73 + 
    0.00506266*i4*i74 + 0.005213*i4*i75 + 0.00334114*i4*i76 + 0.00410168*i4*i77
     + 0.00325268*i4*i78 + 0.000621396*i4*i79 + 0.00679868*i4*i80 + 0.001665408
    *i4*i81 + 0.00231708*i4*i82 - 0.0025243*i4*i83 + 0.00277762*i4*i84 + 
    0.0040202*i4*i85 + 0.001500566*i4*i86 + 0.001680814*i4*i87 + 0.00640404*i4*
    i88 + 0.00397656*i4*i89 + 0.000508164*i4*i90 + 0.00565534*i4*i91 + 
    0.0031999*i4*i92 + 0.0007233*i4*i93 + 0.001347788*i4*i94 + 0.00386662*i4*
    i95 + 0.0056032*i4*i96 + 0.00392786*i4*i97 + 0.0032706*i4*i98 + 0.000716722
    *i4*i99 + 0.00200998*i4*i100 + 0.00725878*i5*i6 + 0.000634496*i5*i7 + 
    0.0112129*i5*i8 + 0.006535*i5*i9 + 0.0076756*i5*i10 - 0.00455426*i5*i11 + 
    0.001111236*i5*i12 + 0.01473142*i5*i13 + 0.01556352*i5*i14 + 0.00889148*i5*
    i15 + 0.00833956*i5*i16 + 0.01155304*i5*i17 + 0.0044319*i5*i18 + 0.0061696*
    i5*i19 + 0.01660846*i5*i20 + 0.00921042*i5*i21 + 0.01240074*i5*i22 + 
    0.00930536*i5*i23 + 0.00636938*i5*i24 + 0.00582298*i5*i25 + 0.00314834*i5*
    i26 + 0.00569034*i5*i27 + 0.00513186*i5*i28 + 0.00443806*i5*i29 + 
    0.01398194*i5*i30 + 0.00649478*i5*i31 + 0.01579432*i5*i32 + 0.00734872*i5*
    i33 + 0.0056108*i5*i34 + 0.00623672*i5*i35 + 0.01544598*i5*i36 + 0.01144796
    *i5*i37 + 0.0024117*i5*i38 + 0.00970728*i5*i39 + 0.0182302*i5*i40 + 
    0.00790876*i5*i41 + 0.00731488*i5*i42 + 0.00543454*i5*i43 + 0.00647722*i5*
    i44 + 0.0035064*i5*i45 + 0.00307696*i5*i46 + 0.00716814*i5*i47 + 
    0.001828662*i5*i48 + 0.00846664*i5*i49 + 0.01292148*i5*i50 + 0.0081737*i5*
    i51 + 0.00647086*i5*i52 + 0.00609644*i5*i53 + 0.00842446*i5*i54 + 
    0.00619594*i5*i55 + 0.01114364*i5*i56 + 0.00464056*i5*i57 + 0.00294786*i5*
    i58 + 0.01085566*i5*i59 + 0.00324938*i5*i60 + 0.01321296*i5*i61 + 
    0.00956118*i5*i62 + 0.00799502*i5*i63 + 0.00255928*i5*i64 + 0.00635808*i5*
    i65 + 0.00425494*i5*i66 + 0.00743456*i5*i67 + 0.003997*i5*i68 + 0.01327542*
    i5*i69 + 0.00624764*i5*i70 + 0.00544782*i5*i71 + 0.00583882*i5*i72 + 
    0.00712322*i5*i73 + 0.00675538*i5*i74 + 0.00471928*i5*i75 + 0.00331686*i5*
    i76 + 0.0064726*i5*i77 + 0.0043073*i5*i78 + 0.01376458*i5*i79 + 0.00590054*
    i5*i80 + 0.00544478*i5*i81 + 0.00433406*i5*i82 + 0.0018936*i5*i83 + 
    0.00732892*i5*i84 + 0.00654804*i5*i85 + 0.00769986*i5*i86 + 0.00924248*i5*
    i87 + 0.01858866*i5*i88 + 0.00588762*i5*i89 + 0.00671372*i5*i90 + 
    0.00513832*i5*i91 + 0.00597632*i5*i92 + 0.0033572*i5*i93 + 0.00718978*i5*
    i94 + 0.00692006*i5*i95 + 0.0082357*i5*i96 + 0.00798976*i5*i97 + 0.00578018
    *i5*i98 + 0.00997244*i5*i99 + 0.00861536*i5*i100 + 0.00682146*i6*i7 + 
    0.00318158*i6*i8 + 0.01402384*i6*i9 + 0.01146794*i6*i10 + 0.00514562*i6*i11
     + 0.001749894*i6*i12 + 0.0349226*i6*i13 + 0.0204032*i6*i14 + 0.0257432*i6*
    i15 + 0.01758104*i6*i16 + 0.01908054*i6*i17 + 0.00928378*i6*i18 + 
    0.00320468*i6*i19 + 0.0315536*i6*i20 + 0.01792788*i6*i21 + 0.0231518*i6*i22
     + 0.01485588*i6*i23 + 0.01959078*i6*i24 + 0.01015748*i6*i25 + 0.00771848*
    i6*i26 + 0.0203708*i6*i27 + 0.00861336*i6*i28 + 0.00733064*i6*i29 + 
    0.0211284*i6*i30 + 0.01136376*i6*i31 + 0.0298052*i6*i32 + 0.01763386*i6*i33
     + 0.01196962*i6*i34 + 0.00970124*i6*i35 + 0.0426536*i6*i36 + 0.0162704*i6*
    i37 + 0.00511032*i6*i38 + 0.0211034*i6*i39 + 0.0536216*i6*i40 + 0.0314338*
    i6*i41 + 0.0212846*i6*i42 + 0.01544516*i6*i43 + 0.0203852*i6*i44 + 
    0.00711214*i6*i45 + 0.01012528*i6*i46 + 0.0378006*i6*i47 + 0.00769828*i6*
    i48 + 0.01043538*i6*i49 + 0.0235092*i6*i50 + 0.00574084*i6*i51 + 0.01540822
    *i6*i52 + 0.01066192*i6*i53 + 0.01947344*i6*i54 + 0.01212224*i6*i55 + 
    0.01841288*i6*i56 + 0.00863178*i6*i57 + 0.0123986*i6*i58 + 0.01033934*i6*
    i59 + 0.00473636*i6*i60 + 0.0271978*i6*i61 + 0.0244978*i6*i62 + 0.0206042*
    i6*i63 + 0.0123061*i6*i64 + 0.00969592*i6*i65 + 0.0105285*i6*i66 + 
    0.01296694*i6*i67 + 0.00467684*i6*i68 + 0.0206522*i6*i69 + 0.01181216*i6*
    i70 + 0.034569*i6*i71 + 0.01713412*i6*i72 + 0.00997084*i6*i73 + 0.00934556*
    i6*i74 + 0.00446476*i6*i75 + 0.00591468*i6*i76 + 0.00902732*i6*i77 + 
    0.00684842*i6*i78 + 0.000346556*i6*i79 + 0.01344964*i6*i80 + 0.028585*i6*
    i81 + 0.00365848*i6*i82 + 0.0233826*i6*i83 + 0.01097966*i6*i84 + 0.01159854
    *i6*i85 + 0.0132315*i6*i86 + 0.00973116*i6*i87 + 0.01749474*i6*i88 + 
    0.00153948*i6*i89 + 0.01386412*i6*i90 + 0.01199914*i6*i91 + 0.0141917*i6*
    i92 + 0.001321806*i6*i93 + 0.00438272*i6*i94 + 0.01131596*i6*i95 + 
    0.01535776*i6*i96 + 0.01709068*i6*i97 + 0.024088*i6*i98 + 0.0176488*i6*i99
     + 0.0244376*i6*i100 + 0.00488516*i7*i8 + 0.00626372*i7*i9 + 0.001990118*i7
    *i10 + 0.00360408*i7*i11 + 0.0044488*i7*i12 + 0.00345036*i7*i13 + 
    0.01022598*i7*i14 + 0.00914736*i7*i15 + 0.00744612*i7*i16 + 0.0041386*i7*
    i17 + 0.00439536*i7*i18 + 0.00478826*i7*i19 + 0.00946126*i7*i20 + 
    0.00383118*i7*i21 + 0.00577738*i7*i22 + 0.0023517*i7*i23 + 0.0050588*i7*i24
     + 0.0021953*i7*i25 + 0.00304582*i7*i26 + 0.0025687*i7*i27 + 0.001019412*i7
    *i28 + 0.001803492*i7*i29 + 0.00840076*i7*i30 + 0.00405006*i7*i31 + 
    0.00330894*i7*i32 + 0.00379124*i7*i33 + 0.00297878*i7*i34 + 0.00257924*i7*
    i35 + 0.00710268*i7*i36 + 0.00290856*i7*i37 + 0.00084645*i7*i38 + 
    0.00616224*i7*i39 + 0.00012188*i7*i40 + 0.00931498*i7*i41 + 0.00783*i7*i42
     + 0.00769852*i7*i43 + 0.00783756*i7*i44 + 0.0049081*i7*i45 + 0.00379762*i7
    *i46 + 0.00691856*i7*i47 + 0.00516014*i7*i48 + 0.00525658*i7*i49 + 
    0.00529626*i7*i50 + 0.00103022*i7*i51 + 0.00545452*i7*i52 + 0.00609146*i7*
    i53 + 0.0066465*i7*i54 + 0.0057959*i7*i55 + 0.00384568*i7*i56 + 0.00518642*
    i7*i57 + 0.0049888*i7*i58 + 0.00240984*i7*i59 + 0.001870666*i7*i60 + 
    0.00856542*i7*i61 + 0.00433228*i7*i62 + 0.00926318*i7*i63 + 0.00802564*i7*
    i64 + 0.002679*i7*i65 + 0.00656044*i7*i66 + 0.00189873*i7*i67 + 0.00559974*
    i7*i68 + 0.0059088*i7*i69 + 0.00502274*i7*i70 + 0.00714092*i7*i71 + 
    0.00451814*i7*i72 + 0.0055096*i7*i73 + 0.0054579*i7*i74 + 0.00428152*i7*i75
     + 0.00201372*i7*i76 + 0.00763776*i7*i77 + 0.001767634*i7*i78 - 0.00404984*
    i7*i79 + 0.00693072*i7*i80 + 0.00453578*i7*i81 + 0.001431356*i7*i82 + 
    0.001000832*i7*i83 + 0.00363592*i7*i84 + 0.00399748*i7*i85 + 0.00244412*i7*
    i86 - 0.00038172*i7*i87 + 0.00670104*i7*i88 + 0.00351634*i7*i89 + 
    0.000192176*i7*i90 + 0.00766242*i7*i91 + 0.00431432*i7*i92 + 0.00099522*i7*
    i93 + 0.00215394*i7*i94 + 0.00467712*i7*i95 + 0.00551306*i7*i96 + 
    0.00524514*i7*i97 + 0.00715168*i7*i98 + 0.00269474*i7*i99 + 0.006577*i7*
    i100 + 0.01497394*i8*i9 + 0.0108969*i8*i10 + 0.00659842*i8*i11 + 0.00635336
    *i8*i12 + 0.0313098*i8*i13 + 0.0387588*i8*i14 + 0.01963812*i8*i15 + 
    0.00587206*i8*i16 + 0.0158028*i8*i17 + 0.00433344*i8*i18 + 0.01027216*i8*
    i19 + 0.0310764*i8*i20 + 0.01480666*i8*i21 + 0.0292324*i8*i22 + 0.01097454*
    i8*i23 + 0.01637932*i8*i24 + 0.0081932*i8*i25 + 0.00625414*i8*i26 + 
    0.01206926*i8*i27 + 0.00960586*i8*i28 + 0.00767454*i8*i29 + 0.0389634*i8*
    i30 + 0.01047056*i8*i31 + 0.0243166*i8*i32 + 0.01490526*i8*i33 + 0.0048023*
    i8*i34 + 0.00582726*i8*i35 + 0.0310084*i8*i36 + 0.01520046*i8*i37 + 
    0.00435652*i8*i38 + 0.01820518*i8*i39 + 0.028962*i8*i40 + 0.0236162*i8*i41
     + 0.0089807*i8*i42 + 0.01679084*i8*i43 + 0.01575264*i8*i44 - 0.00596962*i8
    *i45 + 0.0045504*i8*i46 + 0.0135935*i8*i47 + 0.00528224*i8*i48 + 0.01215584
    *i8*i49 + 0.01116408*i8*i50 + 0.00976906*i8*i51 + 0.01011206*i8*i52 + 
    0.0224104*i8*i53 + 0.01007602*i8*i54 + 0.01583128*i8*i55 + 0.00761084*i8*
    i56 + 0.00804396*i8*i57 + 0.01038608*i8*i58 + 0.01602498*i8*i59 + 
    0.00380248*i8*i60 + 0.0227414*i8*i61 + 0.0208778*i8*i62 + 0.01278874*i8*i63
     + 0.00882622*i8*i64 + 0.01253422*i8*i65 + 0.00938202*i8*i66 + 0.0132364*i8
    *i67 + 0.00341364*i8*i68 + 0.0217686*i8*i69 + 0.01082106*i8*i70 + 0.0109575
    *i8*i71 + 0.01032418*i8*i72 + 0.01203924*i8*i73 + 0.01820078*i8*i74 + 
    0.00454846*i8*i75 + 0.00699592*i8*i76 + 0.017175*i8*i77 + 0.00418326*i8*i78
     + 0.003044*i8*i79 + 0.00913958*i8*i80 + 0.01058642*i8*i81 + 0.00609436*i8*
    i82 + 0.00939194*i8*i83 + 0.01860882*i8*i84 + 0.00544766*i8*i85 + 
    0.00672898*i8*i86 + 0.00847128*i8*i87 + 0.0399532*i8*i88 + 0.00230258*i8*
    i89 + 0.00647968*i8*i90 + 0.00663734*i8*i91 + 0.00723392*i8*i92 + 0.0028363
    *i8*i93 + 0.01094692*i8*i94 + 0.01122622*i8*i95 + 0.01922686*i8*i96 + 
    0.0178042*i8*i97 + 0.00987488*i8*i98 + 0.0201768*i8*i99 + 0.00916962*i8*
    i100 + 0.00380196*i9*i10 + 0.000241806*i9*i11 + 0.00422182*i9*i12 + 
    0.01745366*i9*i13 + 0.01560378*i9*i14 + 0.01797116*i9*i15 + 0.0104377*i9*
    i16 + 0.01789532*i9*i17 + 0.0058031*i9*i18 + 0.00524852*i9*i19 + 0.0217664*
    i9*i20 + 0.0137801*i9*i21 + 0.00556924*i9*i22 + 0.00707894*i9*i23 + 
    0.00383446*i9*i24 + 0.00797136*i9*i25 + 0.00671112*i9*i26 + 0.00962638*i9*
    i27 + 0.00548282*i9*i28 + 0.00537842*i9*i29 + 0.01125578*i9*i30 + 
    0.01033708*i9*i31 + 0.01741482*i9*i32 + 0.01282666*i9*i33 + 0.00490948*i9*
    i34 + 0.00344028*i9*i35 + 0.01643714*i9*i36 + 0.00871578*i9*i37 + 0.002884*
    i9*i38 + 0.01596496*i9*i39 + 0.0171071*i9*i40 + 0.0282184*i9*i41 + 
    0.0157083*i9*i42 + 0.01908622*i9*i43 + 0.01887462*i9*i44 + 0.00621506*i9*
    i45 + 0.00706654*i9*i46 + 0.01685764*i9*i47 + 0.0046064*i9*i48 + 0.01393082
    *i9*i49 + 0.01366172*i9*i50 + 0.00974224*i9*i51 + 0.01117786*i9*i52 + 
    0.0105042*i9*i53 + 0.01603942*i9*i54 + 0.01154502*i9*i55 + 0.0187017*i9*i56
     + 0.0063051*i9*i57 + 0.01180982*i9*i58 + 0.01148738*i9*i59 + 0.0045111*i9*
    i60 + 0.01782442*i9*i61 + 0.01261594*i9*i62 + 0.0275116*i9*i63 + 0.01370986
    *i9*i64 + 0.01301448*i9*i65 + 0.00909146*i9*i66 + 0.00880956*i9*i67 + 
    0.00542126*i9*i68 + 0.0173699*i9*i69 + 0.0063573*i9*i70 + 0.01464082*i9*i71
     + 0.01030184*i9*i72 + 0.01342364*i9*i73 + 0.01050302*i9*i74 + 0.00580926*
    i9*i75 + 0.00669824*i9*i76 + 0.0154461*i9*i77 + 0.00331996*i9*i78 - 
    0.00117976*i9*i79 + 0.0134427*i9*i80 + 0.01200946*i9*i81 + 0.00261992*i9*
    i82 + 0.01802554*i9*i83 + 0.01281546*i9*i84 + 0.00817562*i9*i85 + 
    0.01353278*i9*i86 + 0.0065419*i9*i87 + 0.0287756*i9*i88 + 0.00438656*i9*i89
     + 0.006514*i9*i90 + 0.00948704*i9*i91 + 0.01460712*i9*i92 + 0.00442406*i9*
    i93 + 0.00525338*i9*i94 + 0.01080594*i9*i95 + 0.007284*i9*i96 + 0.01145784*
    i9*i97 + 0.01167366*i9*i98 + 0.01306896*i9*i99 + 0.01230056*i9*i100 + 
    0.00390108*i10*i11 + 0.00306506*i10*i12 + 0.0266658*i10*i13 + 0.027667*i10*
    i14 + 0.01278752*i10*i15 + 0.01031474*i10*i16 + 0.01126594*i10*i17 + 
    0.00489102*i10*i18 + 0.00513038*i10*i19 + 0.01899656*i10*i20 + 0.01116072*
    i10*i21 + 0.0218888*i10*i22 + 0.01101148*i10*i23 + 0.00938786*i10*i24 + 
    0.00495956*i10*i25 + 0.00409492*i10*i26 + 0.00774196*i10*i27 + 0.00563678*
    i10*i28 + 0.00452506*i10*i29 + 0.0234496*i10*i30 + 0.00879878*i10*i31 + 
    0.01816086*i10*i32 + 0.01204676*i10*i33 + 0.00474448*i10*i34 + 0.00478426*
    i10*i35 + 0.0297012*i10*i36 + 0.0151832*i10*i37 + 0.00256504*i10*i38 + 
    0.01482468*i10*i39 + 0.0351312*i10*i40 + 0.00722204*i10*i41 + 0.00911442*
    i10*i42 + 0.00459148*i10*i43 + 0.00643892*i10*i44 + 0.00232242*i10*i45 + 
    0.00525016*i10*i46 + 0.00918898*i10*i47 + 0.00604914*i10*i48 + 0.00855226*
    i10*i49 + 0.01758968*i10*i50 + 0.00905476*i10*i51 + 0.0076611*i10*i52 + 
    0.01159398*i10*i53 + 0.00933998*i10*i54 + 0.00932956*i10*i55 + 0.0077777*
    i10*i56 + 0.00585234*i10*i57 + 0.00494612*i10*i58 + 0.01267098*i10*i59 + 
    0.0025072*i10*i60 + 0.01652258*i10*i61 + 0.0113132*i10*i62 + 0.00647572*i10
    *i63 + 0.00509638*i10*i64 + 0.00796924*i10*i65 + 0.00671784*i10*i66 + 
    0.00876736*i10*i67 + 0.00330284*i10*i68 + 0.0143256*i10*i69 + 0.00658518*
    i10*i70 + 0.00751304*i10*i71 + 0.00447272*i10*i72 + 0.00707326*i10*i73 + 
    0.01022514*i10*i74 + 0.00629098*i10*i75 + 0.00437386*i10*i76 + 0.0069722*
    i10*i77 + 0.00631338*i10*i78 + 0.01475202*i10*i79 + 0.00722624*i10*i80 + 
    0.00973154*i10*i81 + 0.00371556*i10*i82 + 0.00253096*i10*i83 + 0.008833*i10
    *i84 + 0.00871744*i10*i85 + 0.0101816*i10*i86 + 0.01000738*i10*i87 + 
    0.01974334*i10*i88 + 0.00587674*i10*i89 + 0.0124516*i10*i90 + 0.00915752*
    i10*i91 + 0.00913708*i10*i92 + 0.00200378*i10*i93 + 0.00536928*i10*i94 + 
    0.00823672*i10*i95 + 0.01736144*i10*i96 + 0.01105742*i10*i97 + 0.01023842*
    i10*i98 + 0.01685104*i10*i99 + 0.01457986*i10*i100 + 0.000833086*i11*i12 + 
    0.00999478*i11*i13 + 0.01344484*i11*i14 + 0.0031808*i11*i15 + 0.01117228*
    i11*i16 + 0.000697152*i11*i17 + 0.000585828*i11*i18 + 0.00585952*i11*i19 + 
    0.00859976*i11*i20 + 0.00502902*i11*i21 + 0.00447154*i11*i22 + 0.001969568*
    i11*i23 + 0.0049358*i11*i24 - 0.00029705*i11*i25 + 0.0008833*i11*i26 + 
    0.00788936*i11*i27 + 0.00223564*i11*i28 - 0.001370818*i11*i29 + 0.0148367*
    i11*i30 + 0.01084338*i11*i31 + 0.000606756*i11*i32 + 0.00591896*i11*i33 - 
    0.00408456*i11*i34 - 0.002724*i11*i35 + 0.01495302*i11*i36 + 0.0001528802*
    i11*i37 + 0.000200858*i11*i38 + 0.00843216*i11*i39 + 0.01341476*i11*i40 + 
    0.01160686*i11*i41 + 0.00464728*i11*i42 + 0.00803576*i11*i43 + 0.00270742*
    i11*i44 - 0.00352162*i11*i45 + 0.000947796*i11*i46 + 0.00388898*i11*i47 + 
    0.00557236*i11*i48 + 0.00208008*i11*i49 + 0.000931698*i11*i50 + 0.000654446
    *i11*i51 + 0.00650504*i11*i52 + 0.000501194*i11*i53 + 0.00681518*i11*i54 + 
    0.00601122*i11*i55 - 0.00507122*i11*i56 + 0.000483176*i11*i57 + 0.00482018*
    i11*i58 + 0.0064067*i11*i59 - 0.000166498*i11*i60 + 0.00575774*i11*i61 + 
    0.00725456*i11*i62 + 0.00219412*i11*i63 + 0.0084673*i11*i64 + 0.000333436*
    i11*i65 + 0.00655332*i11*i66 - 0.00257168*i11*i67 + 0.01199786*i11*i68 + 
    0.0059299*i11*i69 + 0.001843394*i11*i70 + 0.01060724*i11*i71 + 0.00647206*
    i11*i72 + 0.00231676*i11*i73 + 0.00580344*i11*i74 + 0.00620538*i11*i75 - 
    0.000334258*i11*i76 + 0.00656424*i11*i77 - 0.001286316*i11*i78 + 0.00546106
    *i11*i79 - 0.000202642*i11*i80 + 0.00426114*i11*i81 - 0.00204892*i11*i82 + 
    0.01117602*i11*i83 + 0.01034244*i11*i84 + 0.00449542*i11*i85 + 0.00797378*
    i11*i86 - 0.000792844*i11*i87 + 0.01939124*i11*i88 + 0.00432784*i11*i89 + 
    0.00204578*i11*i90 + 0.021152*i11*i91 + 0.00283286*i11*i92 - 0.00407532*i11
    *i93 - 0.001198622*i11*i94 + 0.0056114*i11*i95 + 0.00560696*i11*i96 + 
    0.00867776*i11*i97 + 0.01208222*i11*i98 + 0.00209588*i11*i99 + 0.0061276*
    i11*i100 + 0.00580036*i12*i13 + 0.01674486*i12*i14 + 0.00758412*i12*i15 + 
    0.0061097*i12*i16 + 0.00406024*i12*i17 + 0.00246134*i12*i18 + 0.00422294*
    i12*i19 + 0.00359302*i12*i20 + 0.0027503*i12*i21 + 0.01042736*i12*i22 + 
    0.001094158*i12*i23 + 0.00410122*i12*i24 + 0.0025257*i12*i25 + 0.00319626*
    i12*i26 + 0.00241386*i12*i27 + 0.001365712*i12*i28 + 0.00285332*i12*i29 + 
    0.01617908*i12*i30 + 0.00231724*i12*i31 + 0.00343892*i12*i32 + 0.00256516*
    i12*i33 + 0.001014308*i12*i34 + 0.001643396*i12*i35 + 0.00879946*i12*i36 + 
    0.00422942*i12*i37 + 0.001108756*i12*i38 + 0.0068803*i12*i39 - 0.00375268*
    i12*i40 + 0.0029422*i12*i41 + 0.00429146*i12*i42 + 0.00277958*i12*i43 + 
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    *i12*i47 + 0.0041981*i12*i48 + 0.00378962*i12*i49 + 0.00842602*i12*i50 + 
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    0.00744762*i19*i87 + 0.0288232*i19*i88 + 0.0089059*i19*i89 + 0.00438344*i19
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    0.00649262*i19*i94 + 0.0076392*i19*i95 + 0.01075072*i19*i96 + 0.00749846*
    i19*i97 + 0.00563188*i19*i98 + 0.00430788*i19*i99 + 0.00505074*i19*i100 + 
    0.026993*i20*i21 + 0.0407142*i20*i22 + 0.0262048*i20*i23 + 0.0233804*i20*
    i24 + 0.01566388*i20*i25 + 0.01254316*i20*i26 + 0.0230746*i20*i27 + 
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    0.01607032*i20*i35 + 0.0534276*i20*i36 + 0.027915*i20*i37 + 0.00446976*i20*
    i38 + 0.0310128*i20*i39 + 0.0617194*i20*i40 + 0.0418284*i20*i41 + 0.0284554
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    0.0229416*i20*i53 + 0.0285392*i20*i54 + 0.024215*i20*i55 + 0.0227*i20*i56
     + 0.01349126*i20*i57 + 0.01576804*i20*i58 + 0.0251472*i20*i59 + 0.00678918
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    0.01394672*i20*i75 + 0.01233534*i20*i76 + 0.0250086*i20*i77 + 0.01003866*
    i20*i78 + 0.01782134*i20*i79 + 0.0175231*i20*i80 + 0.0266842*i20*i81 + 
    0.00899148*i20*i82 + 0.01916166*i20*i83 + 0.0237898*i20*i84 + 0.01674726*
    i20*i85 + 0.0243836*i20*i86 + 0.0205712*i20*i87 + 0.0526016*i20*i88 + 
    0.01299922*i20*i89 + 0.0223216*i20*i90 + 0.0221722*i20*i91 + 0.0200512*i20*
    i92 + 0.00605128*i20*i93 + 0.01422172*i20*i94 + 0.0209666*i20*i95 + 
    0.0316224*i20*i96 + 0.0278754*i20*i97 + 0.0266692*i20*i98 + 0.032317*i20*
    i99 + 0.0372718*i20*i100 + 0.0225584*i21*i22 + 0.01330824*i21*i23 + 
    0.01120138*i21*i24 + 0.00988644*i21*i25 + 0.0053562*i21*i26 + 0.01171726*
    i21*i27 + 0.0075308*i21*i28 + 0.0062293*i21*i29 + 0.028151*i21*i30 + 
    0.01116532*i21*i31 + 0.024731*i21*i32 + 0.01403094*i21*i33 + 0.0053378*i21*
    i34 + 0.0062169*i21*i35 + 0.0322338*i21*i36 + 0.0173092*i21*i37 + 
    0.00310282*i21*i38 + 0.01943686*i21*i39 + 0.0397312*i21*i40 + 0.0227668*i21
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    0.00351088*i21*i45 + 0.00692094*i21*i46 + 0.01710158*i21*i47 + 0.00581758*
    i21*i48 + 0.013985*i21*i49 + 0.0205976*i21*i50 + 0.01286968*i21*i51 + 
    0.01222018*i21*i52 + 0.01492284*i21*i53 + 0.01502328*i21*i54 + 0.01279528*
    i21*i55 + 0.01443928*i21*i56 + 0.00711002*i21*i57 + 0.00897148*i21*i58 + 
    0.0175601*i21*i59 + 0.00366562*i21*i60 + 0.0240206*i21*i61 + 0.01871124*i21
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    0.0093615*i21*i66 + 0.0129081*i21*i67 + 0.0055548*i21*i68 + 0.0214638*i21*
    i69 + 0.00932128*i21*i70 + 0.01654162*i21*i71 + 0.01150414*i21*i72 + 
    0.01130758*i21*i73 + 0.01195864*i21*i74 + 0.00685764*i21*i75 + 0.00673976*
    i21*i76 + 0.01092518*i21*i77 + 0.00610126*i21*i78 + 0.0166491*i21*i79 + 
    0.00973956*i21*i80 + 0.01360816*i21*i81 + 0.00413938*i21*i82 + 0.01295166*
    i21*i83 + 0.01359658*i21*i84 + 0.0100056*i21*i85 + 0.01591198*i21*i86 + 
    0.01302584*i21*i87 + 0.0321888*i21*i88 + 0.0069057*i21*i89 + 0.01467542*i21
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    0.01713984*i22*i23 + 0.0290628*i22*i24 + 0.01659484*i22*i25 + 0.01330504*
    i22*i26 + 0.0220338*i22*i27 + 0.0096401*i22*i28 + 0.01336178*i22*i29 + 
    0.0794522*i22*i30 + 0.00912184*i22*i31 + 0.0466568*i22*i32 + 0.0203942*i22*
    i33 + 0.00695226*i22*i34 + 0.0125215*i22*i35 + 0.0728992*i22*i36 + 
    0.0354588*i22*i37 + 0.00691112*i22*i38 + 0.037201*i22*i39 + 0.0756082*i22*
    i40 + 0.0292772*i22*i41 + 0.0266054*i22*i42 + 0.01269282*i22*i43 + 
    0.0230306*i22*i44 + 0.000804368*i22*i45 + 0.01545384*i22*i46 + 0.0296748*
    i22*i47 + 0.0193381*i22*i48 + 0.0200644*i22*i49 + 0.0450946*i22*i50 + 
    0.01567104*i22*i51 + 0.0202574*i22*i52 + 0.0456018*i22*i53 + 0.024727*i22*
    i54 + 0.01871804*i22*i55 + 0.01574656*i22*i56 + 0.01426746*i22*i57 + 
    0.0112117*i22*i58 + 0.0237092*i22*i59 + 0.01100176*i22*i60 + 0.0484136*i22*
    i61 + 0.0477626*i22*i62 + 0.01715072*i22*i63 + 0.01569402*i22*i64 + 
    0.0163363*i22*i65 + 0.00819194*i22*i66 + 0.0250362*i22*i67 + 0.01191736*i22
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    0.01993902*i22*i72 + 0.01317816*i22*i73 + 0.0290184*i22*i74 + 0.022028*i22*
    i75 + 0.01241074*i22*i76 + 0.01467528*i22*i77 + 0.0179883*i22*i78 + 
    0.040464*i22*i79 + 0.01646476*i22*i80 + 0.0251454*i22*i81 + 0.00665554*i22*
    i82 - 0.00094782*i22*i83 + 0.01809638*i22*i84 + 0.01658492*i22*i85 + 
    0.0242392*i22*i86 + 0.0215874*i22*i87 + 0.0229098*i22*i88 + 0.01114584*i22*
    i89 + 0.046945*i22*i90 + 0.0230318*i22*i91 + 0.01381346*i22*i92 + 0.0100301
    *i22*i93 + 0.00837496*i22*i94 + 0.0250054*i22*i95 + 0.0620424*i22*i96 + 
    0.0302296*i22*i97 + 0.0248336*i22*i98 + 0.0372288*i22*i99 + 0.0441042*i22*
    i100 + 0.00618108*i23*i24 + 0.00567144*i23*i25 + 0.0048866*i23*i26 + 
    0.00839514*i23*i27 + 0.00487436*i23*i28 + 0.004356*i23*i29 + 0.024299*i23*
    i30 + 0.00996842*i23*i31 + 0.0204928*i23*i32 + 0.01726232*i23*i33 + 
    0.00564344*i23*i34 + 0.00506272*i23*i35 + 0.027322*i23*i36 + 0.01648718*i23
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    0.00822668*i23*i41 + 0.01397884*i23*i42 + 0.00751294*i23*i43 + 0.01081252*
    i23*i44 + 0.00375058*i23*i45 + 0.00488444*i23*i46 + 0.01210078*i23*i47 + 
    0.0050334*i23*i48 + 0.01042672*i23*i49 + 0.01834872*i23*i50 + 0.0122672*i23
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    0.0114482*i23*i55 + 0.0105593*i23*i56 + 0.00644542*i23*i57 + 0.00648944*i23
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    0.01495998*i23*i62 + 0.00692592*i23*i63 + 0.00648514*i23*i64 + 0.00794602*
    i23*i65 + 0.00558232*i23*i66 + 0.0093087*i23*i67 + 0.000819996*i23*i68 + 
    0.01512186*i23*i69 + 0.0070338*i23*i70 + 0.00840292*i23*i71 + 0.00668858*
    i23*i72 + 0.00956292*i23*i73 + 0.00972254*i23*i74 + 0.00409738*i23*i75 + 
    0.00544566*i23*i76 + 0.01207296*i23*i77 + 0.00561846*i23*i78 + 0.01639358*
    i23*i79 + 0.00769632*i23*i80 + 0.01062502*i23*i81 + 0.0060578*i23*i82 + 
    0.00866906*i23*i83 + 0.00707332*i23*i84 + 0.01006612*i23*i85 + 0.01147664*
    i23*i86 + 0.0127172*i23*i87 + 0.01718458*i23*i88 + 0.00499896*i23*i89 + 
    0.01300446*i23*i90 + 0.00824348*i23*i91 + 0.01100222*i23*i92 + 0.00359882*
    i23*i93 + 0.00760194*i23*i94 + 0.01026304*i23*i95 + 0.01748628*i23*i96 + 
    0.01222018*i23*i97 + 0.00656104*i23*i98 + 0.01929844*i23*i99 + 0.01526792*
    i23*i100 + 0.01061256*i24*i25 + 0.00390748*i24*i26 + 0.0176534*i24*i27 + 
    0.00973526*i24*i28 + 0.00580416*i24*i29 + 0.0308904*i24*i30 + 0.00564094*
    i24*i31 + 0.0202996*i24*i32 + 0.00846578*i24*i33 + 0.00878324*i24*i34 + 
    0.0092725*i24*i35 + 0.0386418*i24*i36 + 0.01405906*i24*i37 + 0.0050169*i24*
    i38 + 0.01753958*i24*i39 + 0.0277342*i24*i40 + 0.0200538*i24*i41 + 
    0.0160148*i24*i42 + 0.01157484*i24*i43 + 0.0097945*i24*i44 + 0.00047637*i24
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    0.0076863*i24*i49 + 0.01970906*i24*i50 + 0.00539232*i24*i51 + 0.01285448*
    i24*i52 + 0.0120141*i24*i53 + 0.0124346*i24*i54 + 0.00898946*i24*i55 + 
    0.00726448*i24*i56 + 0.0065436*i24*i57 + 0.00501008*i24*i58 + 0.01101314*
    i24*i59 + 0.00470396*i24*i60 + 0.0237074*i24*i61 + 0.0228986*i24*i62 + 
    0.01228188*i24*i63 + 0.01100376*i24*i64 + 0.00915078*i24*i65 + 0.0069269*
    i24*i66 + 0.01206108*i24*i67 + 0.00908652*i24*i68 + 0.0217466*i24*i69 + 
    0.00887002*i24*i70 + 0.022452*i24*i71 + 0.0139555*i24*i72 + 0.00715706*i24*
    i73 + 0.01096546*i24*i74 + 0.00744888*i24*i75 + 0.0028668*i24*i76 + 
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    0.01193214*i24*i91 + 0.00822214*i24*i92 + 0.00070224*i24*i93 + 0.00307244*
    i24*i94 + 0.01092084*i24*i95 + 0.0203774*i24*i96 + 0.01743418*i24*i97 + 
    0.0232524*i24*i98 + 0.01437366*i24*i99 + 0.01998814*i24*i100 + 0.00270846*
    i25*i26 + 0.00878244*i25*i27 + 0.00564506*i25*i28 + 0.00404084*i25*i29 + 
    0.0227806*i25*i30 + 0.00477484*i25*i31 + 0.016725*i25*i32 + 0.00496432*i25*
    i33 + 0.00361518*i25*i34 + 0.00462338*i25*i35 + 0.0204146*i25*i36 + 
    0.01087624*i25*i37 + 0.00256388*i25*i38 + 0.01236456*i25*i39 + 0.01769162*
    i25*i40 + 0.01576792*i25*i41 + 0.00928236*i25*i42 + 0.00793946*i25*i43 + 
    0.00966756*i25*i44 + 0.00248138*i25*i45 + 0.00485932*i25*i46 + 0.0122764*
    i25*i47 + 0.0023089*i25*i48 + 0.00859364*i25*i49 + 0.01421118*i25*i50 + 
    0.00733214*i25*i51 + 0.00816206*i25*i52 + 0.00960248*i25*i53 + 0.00866518*
    i25*i54 + 0.00692386*i25*i55 + 0.00882586*i25*i56 + 0.00434948*i25*i57 + 
    0.0041589*i25*i58 + 0.01055232*i25*i59 + 0.00330494*i25*i60 + 0.01561392*
    i25*i61 + 0.0126551*i25*i62 + 0.00815092*i25*i63 + 0.00612506*i25*i64 + 
    0.0070869*i25*i65 + 0.00424002*i25*i66 + 0.00879504*i25*i67 + 0.0058829*i25
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    0.00889538*i25*i72 + 0.00612414*i25*i73 + 0.00846104*i25*i74 + 0.0057198*
    i25*i75 + 0.00393476*i25*i76 + 0.00432972*i25*i77 + 0.00446968*i25*i78 + 
    0.0141591*i25*i79 + 0.00681524*i25*i80 + 0.00839778*i25*i81 + 0.00242412*
    i25*i82 + 0.0061299*i25*i83 + 0.00821362*i25*i84 + 0.0059951*i25*i85 + 
    0.01036166*i25*i86 + 0.0075501*i25*i87 + 0.0208316*i25*i88 + 0.00461656*i25
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    0.00419408*i25*i93 + 0.0034525*i25*i94 + 0.00742618*i25*i95 + 0.01117296*
    i25*i96 + 0.00976304*i25*i97 + 0.01005714*i25*i98 + 0.00997578*i25*i99 + 
    0.01119052*i25*i100 + 0.0054348*i26*i27 + 0.00158545*i26*i28 + 0.00507804*
    i26*i29 + 0.01115184*i26*i30 + 0.00280118*i26*i31 + 0.0103351*i26*i32 + 
    0.00796856*i26*i33 + 0.00322344*i26*i34 + 0.00410686*i26*i35 + 0.00922294*
    i26*i36 + 0.00708292*i26*i37 + 0.00218796*i26*i38 + 0.00667316*i26*i39 + 
    0.00604564*i26*i40 + 0.00774532*i26*i41 + 0.00814596*i26*i42 + 0.0026451*
    i26*i43 + 0.00582206*i26*i44 + 0.00332382*i26*i45 + 0.00451686*i26*i46 + 
    0.00733916*i26*i47 + 0.00476946*i26*i48 + 0.00485772*i26*i49 + 0.0100103*
    i26*i50 + 0.00280844*i26*i51 + 0.00687248*i26*i52 + 0.00732458*i26*i53 + 
    0.00815206*i26*i54 + 0.00612236*i26*i55 + 0.00307146*i26*i56 + 0.0049056*
    i26*i57 + 0.00412472*i26*i58 + 0.0040935*i26*i59 + 0.0040596*i26*i60 + 
    0.01138906*i26*i61 + 0.00976836*i26*i62 + 0.0087752*i26*i63 + 0.00574374*
    i26*i64 + 0.00539202*i26*i65 + 0.0020772*i26*i66 + 0.00535872*i26*i67 + 
    0.0041987*i26*i68 + 0.00941624*i26*i69 + 0.00708368*i26*i70 + 0.00623148*
    i26*i71 + 0.0059506*i26*i72 + 0.00509138*i26*i73 + 0.00640786*i26*i74 + 
    0.00599214*i26*i75 + 0.00535234*i26*i76 + 0.0061449*i26*i77 + 0.0049639*i26
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    i26*i85 + 0.00407216*i26*i86 + 0.0050287*i26*i87 + 0.00492458*i26*i88 + 
    0.00236614*i26*i89 + 0.0069424*i26*i90 + 0.00767098*i26*i91 + 0.00534286*
    i26*i92 + 0.001624812*i26*i93 + 0.00309366*i26*i94 + 0.00617648*i26*i95 + 
    0.01108742*i26*i96 + 0.0068572*i26*i97 + 0.00411952*i26*i98 + 0.00653102*
    i26*i99 + 0.00944332*i26*i100 + 0.01236278*i27*i28 + 0.00615174*i27*i29 + 
    0.0284656*i27*i30 + 0.00531366*i27*i31 + 0.0227234*i27*i32 + 0.01239532*i27
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    0.01206064*i27*i37 + 0.00764146*i27*i38 + 0.01638042*i27*i39 + 0.0281728*
    i27*i40 + 0.0236864*i27*i41 + 0.01394576*i27*i42 + 0.01151236*i27*i43 + 
    0.00967762*i27*i44 + 0.0001345884*i27*i45 + 0.00656542*i27*i46 + 0.0226088*
    i27*i47 + 0.00665866*i27*i48 + 0.00867994*i27*i49 + 0.01519986*i27*i50 + 
    0.00516678*i27*i51 + 0.01290734*i27*i52 + 0.00750112*i27*i53 + 0.015481*i27
    *i54 + 0.00918208*i27*i55 + 0.01133662*i27*i56 + 0.00655584*i27*i57 + 
    0.00645326*i27*i58 + 0.01022706*i27*i59 + 0.00655942*i27*i60 + 0.0230718*
    i27*i61 + 0.0200196*i27*i62 + 0.01214952*i27*i63 + 0.00996324*i27*i64 + 
    0.00982212*i27*i65 + 0.00606814*i27*i66 + 0.00854006*i27*i67 + 0.00819936*
    i27*i68 + 0.01608286*i27*i69 + 0.00821942*i27*i70 + 0.0230626*i27*i71 + 
    0.01648106*i27*i72 + 0.00833058*i27*i73 + 0.0119455*i27*i74 + 0.0073591*i27
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    0.00760068*i27*i79 + 0.00662478*i27*i80 + 0.0198678*i27*i81 + 0.0044671*i27
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    0.01122432*i27*i86 + 0.00899094*i27*i87 + 0.0237458*i27*i88 + 0.00548044*
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    0.0147155*i37*i44 + 0.00425042*i37*i45 + 0.00777022*i37*i46 + 0.01646346*
    i37*i47 + 0.00740598*i37*i48 + 0.01274586*i37*i49 + 0.0282742*i37*i50 + 
    0.01506898*i37*i51 + 0.01409464*i37*i52 + 0.01916222*i37*i53 + 0.01572296*
    i37*i54 + 0.01361714*i37*i55 + 0.01302042*i37*i56 + 0.00807862*i37*i57 + 
    0.00701644*i37*i58 + 0.0201438*i37*i59 + 0.00497496*i37*i60 + 0.0259544*i37
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    0.0112364*i37*i65 + 0.0089483*i37*i66 + 0.01522148*i37*i67 + 0.00459152*i37
    *i68 + 0.0214858*i37*i69 + 0.01075074*i37*i70 + 0.0132224*i37*i71 + 
    0.00980738*i37*i72 + 0.00885252*i37*i73 + 0.01427422*i37*i74 + 0.00903996*
    i37*i75 + 0.00768272*i37*i76 + 0.0103221*i37*i77 + 0.01082002*i37*i78 + 
    0.0248284*i37*i79 + 0.01098172*i37*i80 + 0.01335848*i37*i81 + 0.00545734*
    i37*i82 + 0.00921544*i37*i83 + 0.0110069*i37*i84 + 0.01385998*i37*i85 + 
    0.01437348*i37*i86 + 0.01621552*i37*i87 + 0.01981332*i37*i88 + 0.00549314*
    i37*i89 + 0.0210958*i37*i90 + 0.0116061*i37*i91 + 0.01444326*i37*i92 + 
    0.00631646*i37*i93 + 0.00847398*i37*i94 + 0.0132838*i37*i95 + 0.0257442*i37
    *i96 + 0.01746728*i37*i97 + 0.01331586*i37*i98 + 0.0246618*i37*i99 + 
    0.0231186*i37*i100 + 0.00427726*i38*i39 + 0.00960742*i38*i40 + 0.00588794*
    i38*i41 + 0.0040899*i38*i42 + 0.00370486*i38*i43 + 0.001581616*i38*i44 + 
    0.00157779*i38*i45 + 0.001517842*i38*i46 + 0.00577098*i38*i47 + 0.00184948*
    i38*i48 + 0.001412132*i38*i49 + 0.00473326*i38*i50 + 0.001265572*i38*i51 + 
    0.00389392*i38*i52 + 0.00195541*i38*i53 + 0.0045747*i38*i54 + 0.003024*i38*
    i55 + 0.00322834*i38*i56 + 0.00240162*i38*i57 + 0.000494648*i38*i58 + 
    0.0035117*i38*i59 + 0.00302272*i38*i60 + 0.0067192*i38*i61 + 0.00576934*i38
    *i62 + 0.00236514*i38*i63 + 0.00208302*i38*i64 + 0.00359594*i38*i65 + 
    0.001590092*i38*i66 + 0.00239398*i38*i67 + 0.00302224*i38*i68 + 0.00326928*
    i38*i69 + 0.00302294*i38*i70 + 0.0049377*i38*i71 + 0.00553496*i38*i72 + 
    0.00229972*i38*i73 + 0.00318332*i38*i74 + 0.00325074*i38*i75 + 0.001803886*
    i38*i76 + 0.000902562*i38*i77 + 0.001651326*i38*i78 + 0.0039935*i38*i79 + 
    0.00233242*i38*i80 + 0.00546644*i38*i81 + 0.00223454*i38*i82 - 0.001681894*
    i38*i83 + 0.0025273*i38*i84 + 0.0032781*i38*i85 + 0.001557044*i38*i86 + 
    0.00327138*i38*i87 + 0.00674346*i38*i88 + 0.0020784*i38*i89 + 0.00343958*
    i38*i90 + 0.00324954*i38*i91 + 0.00206404*i38*i92 + 0.00161462*i38*i93 + 
    0.00247166*i38*i94 + 0.00341238*i38*i95 + 0.00585902*i38*i96 + 0.00423638*
    i38*i97 + 0.00566634*i38*i98 + 0.00315378*i38*i99 + 0.00449598*i38*i100 + 
    0.0491892*i39*i40 + 0.0262408*i39*i41 + 0.0205234*i39*i42 + 0.01409356*i39*
    i43 + 0.0195666*i39*i44 + 0.00525174*i39*i45 + 0.01076856*i39*i46 + 
    0.0216478*i39*i47 + 0.01097136*i39*i48 + 0.0178672*i39*i49 + 0.0324104*i39*
    i50 + 0.0147971*i39*i51 + 0.01855664*i39*i52 + 0.0250992*i39*i53 + 
    0.0213078*i39*i54 + 0.01575182*i39*i55 + 0.01438592*i39*i56 + 0.0105253*i39
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    0.036126*i39*i61 + 0.0278076*i39*i62 + 0.0206546*i39*i63 + 0.01499036*i39*
    i64 + 0.01276412*i39*i65 + 0.0125414*i39*i66 + 0.01617824*i39*i67 + 
    0.010394*i39*i68 + 0.0290228*i39*i69 + 0.01190924*i39*i70 + 0.01824964*i39*
    i71 + 0.014012*i39*i72 + 0.01408568*i39*i73 + 0.0192582*i39*i74 + 
    0.01283914*i39*i75 + 0.00757714*i39*i76 + 0.0157748*i39*i77 + 0.00886562*
    i39*i78 + 0.0226622*i39*i79 + 0.01506442*i39*i80 + 0.01868878*i39*i81 + 
    0.00371016*i39*i82 + 0.01245306*i39*i83 + 0.01693888*i39*i84 + 0.0145704*
    i39*i85 + 0.0207926*i39*i86 + 0.01487822*i39*i87 + 0.0465058*i39*i88 + 
    0.01052428*i39*i89 + 0.0220072*i39*i90 + 0.01887928*i39*i91 + 0.01597714*
    i39*i92 + 0.00531126*i39*i93 + 0.00658506*i39*i94 + 0.01713092*i39*i95 + 
    0.0328166*i39*i96 + 0.0213542*i39*i97 + 0.0210286*i39*i98 + 0.0255336*i39*
    i99 + 0.0274274*i39*i100 + 0.0504412*i40*i41 + 0.0336102*i40*i42 + 
    0.0294804*i40*i43 + 0.0424704*i40*i44 + 0.0030095*i40*i45 + 0.01146224*i40*
    i46 + 0.0507426*i40*i47 + 0.01585054*i40*i48 + 0.0217164*i40*i49 + 
    0.0491478*i40*i50 + 0.0317926*i40*i51 + 0.0284682*i40*i52 + 0.0468934*i40*
    i53 + 0.0309254*i40*i54 + 0.028626*i40*i55 + 0.0309698*i40*i56 + 0.01062184
    *i40*i57 + 0.01987174*i40*i58 + 0.0429952*i40*i59 + 0.00300922*i40*i60 + 
    0.0574936*i40*i61 + 0.0496304*i40*i62 + 0.01678646*i40*i63 + 0.0153295*i40*
    i64 + 0.0230176*i40*i65 + 0.0200972*i40*i66 + 0.0274442*i40*i67 - 
    0.00465404*i40*i68 + 0.0404524*i40*i69 + 0.01243058*i40*i70 + 0.0333654*i40
    *i71 + 0.01847532*i40*i72 + 0.01863464*i40*i73 + 0.01865328*i40*i74 + 
    0.0086314*i40*i75 + 0.0107773*i40*i76 + 0.0203618*i40*i77 + 0.01445046*i40*
    i78 + 0.0410886*i40*i79 + 0.01194082*i40*i80 + 0.044529*i40*i81 + 
    0.00528742*i40*i82 + 0.0445722*i40*i83 + 0.0229102*i40*i84 + 0.0241064*i40*
    i85 + 0.0368384*i40*i86 + 0.0327072*i40*i87 + 0.0612044*i40*i88 + 0.0029601
    *i40*i89 + 0.0534994*i40*i90 + 0.0258428*i40*i91 + 0.0317582*i40*i92 + 
    0.00965728*i40*i93 + 0.01437522*i40*i94 + 0.0249652*i40*i95 + 0.0605768*i40
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    *i40*i100 + 0.0211266*i41*i42 + 0.0280268*i41*i43 + 0.0396958*i41*i44 + 
    0.00245084*i41*i45 + 0.00955952*i41*i46 + 0.0396834*i41*i47 + 0.0061862*i41
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    0.01479238*i41*i52 + 0.016171*i41*i53 + 0.0243916*i41*i54 + 0.01422356*i41*
    i55 + 0.0283342*i41*i56 + 0.00801394*i41*i57 + 0.01783044*i41*i58 + 
    0.01283818*i41*i59 + 0.00500652*i41*i60 + 0.0289002*i41*i61 + 0.0313062*i41
    *i62 + 0.0372108*i41*i63 + 0.0192516*i41*i64 + 0.0152555*i41*i65 + 
    0.01848886*i41*i66 + 0.01396382*i41*i67 + 0.01323774*i41*i68 + 0.0319484*
    i41*i69 + 0.01505338*i41*i70 + 0.0464724*i41*i71 + 0.0275962*i41*i72 + 
    0.01531976*i41*i73 + 0.0159052*i41*i74 + 0.00897454*i41*i75 + 0.00931212*
    i41*i76 + 0.01958562*i41*i77 + 0.00344582*i41*i78 + 0.00874906*i41*i79 + 
    0.01063594*i41*i80 + 0.02994*i41*i81 + 0.000668906*i41*i82 + 0.0436128*i41*
    i83 + 0.0233408*i41*i84 + 0.00754018*i41*i85 + 0.01805636*i41*i86 + 
    0.01281402*i41*i87 + 0.0523726*i41*i88 + 0.00844562*i41*i89 + 0.01302218*
    i41*i90 + 0.01396562*i41*i91 + 0.01458222*i41*i92 + 0.0072903*i41*i93 + 
    0.00709746*i41*i94 + 0.01473562*i41*i95 + 0.01085782*i41*i96 + 0.021406*i41
    *i97 + 0.0295828*i41*i98 + 0.01994264*i41*i99 + 0.0263314*i41*i100 + 
    0.01525376*i42*i43 + 0.01763084*i42*i44 + 0.00749008*i42*i45 + 0.00916454*
    i42*i46 + 0.0235102*i42*i47 + 0.00921988*i42*i48 + 0.01347394*i42*i49 + 
    0.0247352*i42*i50 + 0.01120346*i42*i51 + 0.01858118*i42*i52 + 0.01723882*
    i42*i53 + 0.0208142*i42*i54 + 0.01360838*i42*i55 + 0.0118194*i42*i56 + 
    0.00860676*i42*i57 + 0.00935934*i42*i58 + 0.01516418*i42*i59 + 0.0068076*
    i42*i60 + 0.028779*i42*i61 + 0.0258494*i42*i62 + 0.0233604*i42*i63 + 
    0.01573382*i42*i64 + 0.01049188*i42*i65 + 0.00740748*i42*i66 + 0.01082116*
    i42*i67 + 0.00777482*i42*i68 + 0.0240088*i42*i69 + 0.01102072*i42*i70 + 
    0.01820862*i42*i71 + 0.01298112*i42*i72 + 0.01234456*i42*i73 + 0.0141652*
    i42*i74 + 0.00934936*i42*i75 + 0.00505832*i42*i76 + 0.01458566*i42*i77 + 
    0.00728638*i42*i78 + 0.0099359*i42*i79 + 0.01486474*i42*i80 + 0.01668502*
    i42*i81 + 0.00373442*i42*i82 + 0.01190258*i42*i83 + 0.01201006*i42*i84 + 
    0.0151776*i42*i85 + 0.0145938*i42*i86 + 0.00824462*i42*i87 + 0.0160982*i42*
    i88 + 0.006593*i42*i89 + 0.01418496*i42*i90 + 0.01803698*i42*i91 + 
    0.0159653*i42*i92 + 0.00291508*i42*i93 + 0.00538746*i42*i94 + 0.01644022*
    i42*i95 + 0.0250208*i42*i96 + 0.018306*i42*i97 + 0.01797718*i42*i98 + 
    0.01649756*i42*i99 + 0.025412*i42*i100 + 0.01762524*i43*i44 + 0.0026577*i43
    *i45 + 0.00500594*i43*i46 + 0.01987672*i43*i47 + 0.00486026*i43*i48 + 
    0.01054502*i43*i49 + 0.00887754*i43*i50 + 0.00693606*i43*i51 + 0.01006578*
    i43*i52 + 0.01002454*i43*i53 + 0.0138188*i43*i54 + 0.00975298*i43*i55 + 
    0.01686962*i43*i56 + 0.00490722*i43*i57 + 0.00949952*i43*i58 + 0.01032096*
    i43*i59 + 0.00313858*i43*i60 + 0.01509816*i43*i61 + 0.0162044*i43*i62 + 
    0.01875628*i43*i63 + 0.01240346*i43*i64 + 0.0085184*i43*i65 + 0.0097536*i43
    *i66 + 0.00601436*i43*i67 + 0.0069333*i43*i68 + 0.01534648*i43*i69 + 
    0.00585324*i43*i70 + 0.01833662*i43*i71 + 0.01219044*i43*i72 + 0.00997222*
    i43*i73 + 0.00950324*i43*i74 + 0.00395808*i43*i75 + 0.00230734*i43*i76 + 
    0.01177946*i43*i77 + 0.00120913*i43*i78 + 0.00451336*i43*i79 + 0.0087064*
    i43*i80 + 0.01415418*i43*i81 + 0.00158382*i43*i82 + 0.01934448*i43*i83 + 
    0.01332798*i43*i84 + 0.0073079*i43*i85 + 0.01024086*i43*i86 + 0.00333288*
    i43*i87 + 0.01697646*i43*i88 + 0.00457426*i43*i89 + 0.00557218*i43*i90 + 
    0.0103559*i43*i91 + 0.00897022*i43*i92 + 0.00315402*i43*i93 + 0.00504118*
    i43*i94 + 0.01075858*i43*i95 + 0.00678594*i43*i96 + 0.01260626*i43*i97 + 
    0.0163881*i43*i98 + 0.01009846*i43*i99 + 0.01154306*i43*i100 + 0.00483446*
    i44*i45 + 0.00652268*i44*i46 + 0.0242272*i44*i47 + 0.00478826*i44*i48 + 
    0.01685648*i44*i49 + 0.020425*i44*i50 + 0.00923526*i44*i51 + 0.01214276*i44
    *i52 + 0.01807778*i44*i53 + 0.01714928*i44*i54 + 0.0117815*i44*i55 + 
    0.01675568*i44*i56 + 0.0065756*i44*i57 + 0.01226174*i44*i58 + 0.0107529*i44
    *i59 + 0.00316098*i44*i60 + 0.0237412*i44*i61 + 0.023095*i44*i62 + 
    0.0261176*i44*i63 + 0.01217274*i44*i64 + 0.01008618*i44*i65 + 0.0100818*i44
    *i66 + 0.01058518*i44*i67 + 0.00547734*i44*i68 + 0.0242058*i44*i69 + 
    0.01131642*i44*i70 + 0.0238346*i44*i71 + 0.01469328*i44*i72 + 0.01153818*
    i44*i73 + 0.0107527*i44*i74 + 0.00664436*i44*i75 + 0.00643936*i44*i76 + 
    0.01819866*i44*i77 + 0.00401038*i44*i78 + 0.00860378*i44*i79 + 0.01052694*
    i44*i80 + 0.01791956*i44*i81 + 0.001302356*i44*i82 + 0.024415*i44*i83 + 
    0.01318656*i44*i84 + 0.00691488*i44*i85 + 0.0134211*i44*i86 + 0.01005166*
    i44*i87 + 0.036692*i44*i88 + 0.00614716*i44*i89 + 0.0120958*i44*i90 + 
    0.00884752*i44*i91 + 0.01296164*i44*i92 + 0.00513894*i44*i93 + 0.00596534*
    i44*i94 + 0.01196692*i44*i95 + 0.01664976*i44*i96 + 0.01462126*i44*i97 + 
    0.0157382*i44*i98 + 0.01533824*i44*i99 + 0.0188597*i44*i100 + 0.00317774*
    i45*i46 + 0.00420624*i45*i47 + 0.00199361*i45*i48 + 0.0050265*i45*i49 + 
    0.00894044*i45*i50 + 0.00284776*i45*i51 + 0.00547162*i45*i52 + 0.00269966*
    i45*i53 + 0.0064379*i45*i54 + 0.00472118*i45*i55 + 0.0042126*i45*i56 + 
    0.00394074*i45*i57 + 0.00265196*i45*i58 + 0.00448504*i45*i59 + 0.001797504*
    i45*i60 + 0.00867806*i45*i61 + 0.00322858*i45*i62 + 0.00607352*i45*i63 + 
    0.00436738*i45*i64 + 0.00237578*i45*i65 + 0.0044976*i45*i66 + 0.00181419*
    i45*i67 + 0.00495262*i45*i68 + 0.00570214*i45*i69 + 0.00422674*i45*i70 + 
    0.001748284*i45*i71 + 0.00347868*i45*i72 + 0.00586478*i45*i73 + 0.00333902*
    i45*i74 + 0.0046385*i45*i75 + 0.001228842*i45*i76 + 0.00595824*i45*i77 + 
    0.0027183*i45*i78 + 0.00108409*i45*i79 + 0.00761658*i45*i80 + 0.0005468*i45
    *i81 + 0.001647768*i45*i82 - 0.00572218*i45*i83 + 0.00291394*i45*i84 + 
    0.00667112*i45*i85 + 0.00283124*i45*i86 + 0.00214236*i45*i87 + 0.00913532*
    i45*i88 + 0.0031579*i45*i89 + 0.001671266*i45*i90 + 0.007457*i45*i91 + 
    0.00539294*i45*i92 + 0.001548892*i45*i93 + 0.00325768*i45*i94 + 0.00415906*
    i45*i95 + 0.00472416*i45*i96 + 0.00257908*i45*i97 + 0.00311904*i45*i98 - 
    0.00028754*i45*i99 + 0.00641254*i45*i100 + 0.00936266*i46*i47 + 0.00551424*
    i46*i48 + 0.00665328*i46*i49 + 0.01254298*i46*i50 + 0.00457552*i46*i51 + 
    0.00723508*i46*i52 + 0.01013924*i46*i53 + 0.00835722*i46*i54 + 0.00612552*
    i46*i55 + 0.00568528*i46*i56 + 0.00506602*i46*i57 + 0.00547684*i46*i58 + 
    0.00630834*i46*i59 + 0.0034076*i46*i60 + 0.01269782*i46*i61 + 0.01056202*
    i46*i62 + 0.00905674*i46*i63 + 0.00727642*i46*i64 + 0.0053986*i46*i65 + 
    0.00499194*i46*i66 + 0.00693256*i46*i67 + 0.00384534*i46*i68 + 0.01113952*
    i46*i69 + 0.00571676*i46*i70 + 0.00918194*i46*i71 + 0.00582038*i46*i72 + 
    0.00587208*i46*i73 + 0.00927628*i46*i74 + 0.00540062*i46*i75 + 0.00399822*
    i46*i76 + 0.00599102*i46*i77 + 0.00478388*i46*i78 + 0.0052496*i46*i79 + 
    0.0080323*i46*i80 + 0.00786638*i46*i81 + 0.001854684*i46*i82 + 0.00407872*
    i46*i83 + 0.00621788*i46*i84 + 0.00606418*i46*i85 + 0.00669516*i46*i86 + 
    0.00483036*i46*i87 + 0.00889994*i46*i88 + 0.00341184*i46*i89 + 0.00883678*
    i46*i90 + 0.00699852*i46*i91 + 0.00577214*i46*i92 + 0.00238288*i46*i93 + 
    0.001681122*i46*i94 + 0.00660328*i46*i95 + 0.0125098*i46*i96 + 0.00829924*
    i46*i97 + 0.00843732*i46*i98 + 0.00930502*i46*i99 + 0.01141018*i46*i100 + 
    0.00622806*i47*i48 + 0.01275134*i47*i49 + 0.0219686*i47*i50 + 0.00559252*
    i47*i51 + 0.014742*i47*i52 + 0.01293552*i47*i53 + 0.0202408*i47*i54 + 
    0.01276622*i47*i55 + 0.0211842*i47*i56 + 0.00751862*i47*i57 + 0.01167596*
    i47*i58 + 0.0096102*i47*i59 + 0.00476024*i47*i60 + 0.0291008*i47*i61 + 
    0.0293252*i47*i62 + 0.0218568*i47*i63 + 0.01597818*i47*i64 + 0.01230724*i47
    *i65 + 0.01074494*i47*i66 + 0.01192482*i47*i67 + 0.0072756*i47*i68 + 
    0.0259978*i47*i69 + 0.01196354*i47*i70 + 0.0346772*i47*i71 + 0.01997802*i47
    *i72 + 0.0109755*i47*i73 + 0.01126216*i47*i74 + 0.00543986*i47*i75 + 
    0.00507998*i47*i76 + 0.01031016*i47*i77 + 0.0051788*i47*i78 + 0.001275304*
    i47*i79 + 0.00993436*i47*i80 + 0.0302174*i47*i81 + 0.0025327*i47*i82 + 
    0.0227778*i47*i83 + 0.01358392*i47*i84 + 0.01015524*i47*i85 + 0.01402648*
    i47*i86 + 0.00789154*i47*i87 + 0.0151434*i47*i88 + 0.001278866*i47*i89 + 
    0.0158996*i47*i90 + 0.01154264*i47*i91 + 0.01393698*i47*i92 + 0.00304714*
    i47*i93 + 0.00512466*i47*i94 + 0.01429612*i47*i95 + 0.01681572*i47*i96 + 
    0.01931984*i47*i97 + 0.0267484*i47*i98 + 0.01797768*i47*i99 + 0.0282598*i47
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    0.00756044*i48*i52 + 0.01216498*i48*i53 + 0.00967664*i48*i54 + 0.00647364*
    i48*i55 + 0.00302706*i48*i56 + 0.0053717*i48*i57 + 0.00577622*i48*i58 + 
    0.00544272*i48*i59 + 0.00352554*i48*i60 + 0.01442968*i48*i61 + 0.0109524*
    i48*i62 + 0.00913756*i48*i63 + 0.00640136*i48*i64 + 0.00303604*i48*i65 + 
    0.00380586*i48*i66 + 0.00547728*i48*i67 + 0.00370642*i48*i68 + 0.00883124*
    i48*i69 + 0.00549652*i48*i70 + 0.00566248*i48*i71 + 0.00467596*i48*i72 + 
    0.00529964*i48*i73 + 0.00953518*i48*i74 + 0.00623786*i48*i75 + 0.00402142*
    i48*i76 + 0.00662892*i48*i77 + 0.004711*i48*i78 + 0.001686804*i48*i79 + 
    0.00761384*i48*i80 + 0.0057658*i48*i81 + 0.00181049*i48*i82 - 0.00054847*
    i48*i83 + 0.0048793*i48*i84 + 0.00598068*i48*i85 + 0.00652398*i48*i86 + 
    0.0036324*i48*i87 + 0.00674584*i48*i88 + 0.00354232*i48*i89 + 0.00923644*
    i48*i90 + 0.01247554*i48*i91 + 0.00613734*i48*i92 + 0.000820814*i48*i93 + 
    0.001893008*i48*i94 + 0.00690274*i48*i95 + 0.01623126*i48*i96 + 0.00810288*
    i48*i97 + 0.00702362*i48*i98 + 0.01027006*i48*i99 + 0.01224198*i48*i100 + 
    0.01829412*i49*i50 + 0.0119479*i49*i51 + 0.01038228*i49*i52 + 0.01375438*
    i49*i53 + 0.01480194*i49*i54 + 0.01103368*i49*i55 + 0.01464938*i49*i56 + 
    0.00724638*i49*i57 + 0.00857364*i49*i58 + 0.0149174*i49*i59 + 0.00407556*
    i49*i60 + 0.0214208*i49*i61 + 0.01655784*i49*i62 + 0.01832206*i49*i63 + 
    0.0099515*i49*i64 + 0.01025382*i49*i65 + 0.00862324*i49*i66 + 0.00863512*
    i49*i67 + 0.0076467*i49*i68 + 0.0220404*i49*i69 + 0.0095053*i49*i70 + 
    0.01307838*i49*i71 + 0.01047408*i49*i72 + 0.01294838*i49*i73 + 0.01471132*
    i49*i74 + 0.00851398*i49*i75 + 0.00575748*i49*i76 + 0.0145716*i49*i77 + 
    0.00460678*i49*i78 + 0.01570596*i49*i79 + 0.00985226*i49*i80 + 0.01023644*
    i49*i81 + 0.00369278*i49*i82 + 0.00860988*i49*i83 + 0.01393008*i49*i84 + 
    0.00839504*i49*i85 + 0.01483048*i49*i86 + 0.01071222*i49*i87 + 0.0344974*
    i49*i88 + 0.00962838*i49*i89 + 0.01169418*i49*i90 + 0.01045396*i49*i91 + 
    0.0095482*i49*i92 + 0.00539536*i49*i93 + 0.00663516*i49*i94 + 0.01120512*
    i49*i95 + 0.01484196*i49*i96 + 0.0127009*i49*i97 + 0.01167858*i49*i98 + 
    0.01477446*i49*i99 + 0.01842494*i49*i100 + 0.01663076*i50*i51 + 0.021828*
    i50*i52 + 0.029083*i50*i53 + 0.0230518*i50*i54 + 0.01639088*i50*i55 + 
    0.01308142*i50*i56 + 0.01225642*i50*i57 + 0.0094199*i50*i58 + 0.0222192*i50
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    0.0219658*i50*i67 + 0.01066588*i50*i68 + 0.0354768*i50*i69 + 0.01575178*i50
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    0.01936092*i50*i74 + 0.01665002*i50*i75 + 0.00971184*i50*i76 + 0.01642836*
    i50*i77 + 0.01382168*i50*i78 + 0.0341934*i50*i79 + 0.01843884*i50*i80 + 
    0.01940942*i50*i81 + 0.00527464*i50*i82 + 0.00829608*i50*i83 + 0.0138699*
    i50*i84 + 0.01840912*i50*i85 + 0.0210266*i50*i86 + 0.0205286*i50*i87 + 
    0.0451728*i50*i88 + 0.01361116*i50*i89 + 0.0277252*i50*i90 + 0.01783032*i50
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    0.01980832*i50*i95 + 0.043863*i50*i96 + 0.0241266*i50*i97 + 0.0216094*i50*
    i98 + 0.0284306*i50*i99 + 0.0308476*i50*i100 + 0.01058872*i51*i52 + 
    0.01279448*i51*i53 + 0.0112444*i51*i54 + 0.00990216*i51*i55 + 0.00896022*
    i51*i56 + 0.00513818*i51*i57 + 0.00543454*i51*i58 + 0.01870256*i51*i59 + 
    0.00309084*i51*i60 + 0.01767624*i51*i61 + 0.01208918*i51*i62 + 0.01086364*
    i51*i63 + 0.00670046*i51*i64 + 0.00877154*i51*i65 + 0.00557174*i51*i66 + 
    0.00887856*i51*i67 + 0.00260902*i51*i68 + 0.01536338*i51*i69 + 0.00483316*
    i51*i70 + 0.00448378*i51*i71 + 0.0043601*i51*i72 + 0.00929772*i51*i73 + 
    0.00989476*i51*i74 + 0.00528028*i51*i75 + 0.00446022*i51*i76 + 0.00845848*
    i51*i77 + 0.00509916*i51*i78 + 0.0204202*i51*i79 + 0.00800384*i51*i80 + 
    0.00529538*i51*i81 + 0.0038846*i51*i82 + 0.00772216*i51*i83 + 0.009979*i51*
    i84 + 0.010097*i51*i85 + 0.0139755*i51*i86 + 0.01131734*i51*i87 + 0.02533*
    i51*i88 + 0.00621034*i51*i89 + 0.01160734*i51*i90 + 0.00843408*i51*i91 + 
    0.00995326*i51*i92 + 0.00455616*i51*i93 + 0.00533468*i51*i94 + 0.00929878*
    i51*i95 + 0.0142337*i51*i96 + 0.01066822*i51*i97 + 0.00526832*i51*i98 + 
    0.01737382*i51*i99 + 0.01465192*i51*i100 + 0.01484222*i52*i53 + 0.0171371*
    i52*i54 + 0.01181392*i52*i55 + 0.00600344*i52*i56 + 0.00840878*i52*i57 + 
    0.0071463*i52*i58 + 0.01536778*i52*i59 + 0.0071369*i52*i60 + 0.0280962*i52*
    i61 + 0.0210708*i52*i62 + 0.01590808*i52*i63 + 0.01317442*i52*i64 + 
    0.0091774*i52*i65 + 0.0068045*i52*i66 + 0.01047574*i52*i67 + 0.00882116*i52
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    0.0115876*i52*i72 + 0.01090888*i52*i73 + 0.0112976*i52*i74 + 0.00919952*i52
    *i75 + 0.00611904*i52*i76 + 0.0126521*i52*i77 + 0.0063454*i52*i78 + 
    0.01337936*i52*i79 + 0.01210696*i52*i80 + 0.01264942*i52*i81 + 0.00476554*
    i52*i82 + 0.01346924*i52*i83 + 0.01007318*i52*i84 + 0.0127267*i52*i85 + 
    0.01394736*i52*i86 + 0.0099746*i52*i87 + 0.0311922*i52*i88 + 0.0079236*i52*
    i89 + 0.01182038*i52*i90 + 0.01651678*i52*i91 + 0.01241554*i52*i92 + 
    0.0030009*i52*i93 + 0.00533038*i52*i94 + 0.0132025*i52*i95 + 0.0243106*i52*
    i96 + 0.01594256*i52*i97 + 0.01260958*i52*i98 + 0.0156343*i52*i99 + 
    0.01771086*i52*i100 + 0.0153737*i53*i54 + 0.01383672*i53*i55 + 0.00715324*
    i53*i56 + 0.00943676*i53*i57 + 0.00990018*i53*i58 + 0.01573366*i53*i59 + 
    0.00657884*i53*i60 + 0.0319944*i53*i61 + 0.029398*i53*i62 + 0.01378922*i53*
    i63 + 0.01107682*i53*i64 + 0.01095454*i53*i65 + 0.00681218*i53*i66 + 
    0.01767184*i53*i67 + 0.00360916*i53*i68 + 0.0271974*i53*i69 + 0.01108326*
    i53*i70 + 0.00659666*i53*i71 + 0.00877032*i53*i72 + 0.01135242*i53*i73 + 
    0.01814298*i53*i74 + 0.01264072*i53*i75 + 0.00851402*i53*i76 + 0.01433306*
    i53*i77 + 0.00973382*i53*i78 + 0.025286*i53*i79 + 0.01345344*i53*i80 + 
    0.01259382*i53*i81 + 0.0027805*i53*i82 + 0.000307752*i53*i83 + 0.0107134*
    i53*i84 + 0.01054482*i53*i85 + 0.0158905*i53*i86 + 0.01354224*i53*i87 + 
    0.0304602*i53*i88 + 0.0090225*i53*i89 + 0.0279162*i53*i90 + 0.01259072*i53*
    i91 + 0.01154418*i53*i92 + 0.00696904*i53*i93 + 0.0036836*i53*i94 + 
    0.01605638*i53*i95 + 0.0430698*i53*i96 + 0.01780592*i53*i97 + 0.01137144*
    i53*i98 + 0.0256234*i53*i99 + 0.0212362*i53*i100 + 0.01304758*i54*i55 + 
    0.01398616*i54*i56 + 0.00915664*i54*i57 + 0.01070596*i54*i58 + 0.01499*i54*
    i59 + 0.0070249*i54*i60 + 0.0302542*i54*i61 + 0.0244214*i54*i62 + 0.0228504
    *i54*i63 + 0.01378888*i54*i64 + 0.00915648*i54*i65 + 0.0089268*i54*i66 + 
    0.010488*i54*i67 + 0.00997224*i54*i68 + 0.0229576*i54*i69 + 0.01077794*i54*
    i70 + 0.01825372*i54*i71 + 0.01517784*i54*i72 + 0.01258444*i54*i73 + 
    0.01361126*i54*i74 + 0.01029832*i54*i75 + 0.00657472*i54*i76 + 0.01463254*
    i54*i77 + 0.00613474*i54*i78 + 0.01201368*i54*i79 + 0.013126*i54*i80 + 
    0.01505614*i54*i81 + 0.00467872*i54*i82 + 0.01050702*i54*i83 + 0.01265914*
    i54*i84 + 0.01318044*i54*i85 + 0.01473222*i54*i86 + 0.01110614*i54*i87 + 
    0.0261814*i54*i88 + 0.00783796*i54*i89 + 0.01294844*i54*i90 + 0.0192808*i54
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    0.01527036*i54*i95 + 0.0205052*i54*i96 + 0.01688726*i54*i97 + 0.01524852*
    i54*i98 + 0.0174601*i54*i99 + 0.0244266*i54*i100 + 0.00673562*i55*i56 + 
    0.00707698*i55*i57 + 0.00734322*i55*i58 + 0.01405048*i55*i59 + 0.00334038*
    i55*i60 + 0.0222096*i55*i61 + 0.01523028*i55*i62 + 0.0102055*i55*i63 + 
    0.01002768*i55*i64 + 0.01048288*i55*i65 + 0.00635712*i55*i66 + 0.00874464*
    i55*i67 + 0.00593524*i55*i68 + 0.01648812*i55*i69 + 0.0080135*i55*i70 + 
    0.00887592*i55*i71 + 0.00847214*i55*i72 + 0.01055314*i55*i73 + 0.01129422*
    i55*i74 + 0.00699156*i55*i75 + 0.00627446*i55*i76 + 0.01024268*i55*i77 + 
    0.00531432*i55*i78 + 0.0098513*i55*i79 + 0.01065934*i55*i80 + 0.00967318*
    i55*i81 + 0.00462964*i55*i82 + 0.00334858*i55*i83 + 0.01100528*i55*i84 + 
    0.00975296*i55*i85 + 0.01214742*i55*i86 + 0.00846042*i55*i87 + 0.0242638*
    i55*i88 + 0.0054702*i55*i89 + 0.01124098*i55*i90 + 0.0118002*i55*i91 + 
    0.01077996*i55*i92 + 0.00250778*i55*i93 + 0.00555816*i55*i94 + 0.01037364*
    i55*i95 + 0.0175302*i55*i96 + 0.01283314*i55*i97 + 0.01054116*i55*i98 + 
    0.01565736*i55*i99 + 0.01643682*i55*i100 + 0.00563824*i56*i57 + 0.00909602*
    i56*i58 + 0.0103611*i56*i59 + 0.00370386*i56*i60 + 0.01345496*i56*i61 + 
    0.01240364*i56*i62 + 0.01894134*i56*i63 + 0.00842246*i56*i64 + 0.00913306*
    i56*i65 + 0.0128603*i56*i66 + 0.00789202*i56*i67 + 0.0049437*i56*i68 + 
    0.0172921*i56*i69 + 0.00742364*i56*i70 + 0.0201228*i56*i71 + 0.0118952*i56*
    i72 + 0.01088666*i56*i73 + 0.0107701*i56*i74 + 0.00409754*i56*i75 + 
    0.00366002*i56*i76 + 0.01236854*i56*i77 + 0.00300872*i56*i78 + 0.0135613*
    i56*i79 + 0.00480806*i56*i80 + 0.01596128*i56*i81 + 0.00309564*i56*i82 + 
    0.01777436*i56*i83 + 0.01193038*i56*i84 + 0.00565974*i56*i85 + 0.01170688*
    i56*i86 + 0.01022376*i56*i87 + 0.0163427*i56*i88 + 0.00612568*i56*i89 + 
    0.01115784*i56*i90 + 0.00381802*i56*i91 + 0.0089326*i56*i92 + 0.0075443*i56
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    0.01019204*i56*i97 + 0.01329902*i56*i98 + 0.01411634*i56*i99 + 0.0138779*
    i56*i100 + 0.00474894*i57*i58 + 0.00767974*i57*i59 + 0.0043561*i57*i60 + 
    0.01478228*i57*i61 + 0.00989558*i57*i62 + 0.00895424*i57*i63 + 0.0066828*
    i57*i64 + 0.00578744*i57*i65 + 0.00498864*i57*i66 + 0.00614268*i57*i67 + 
    0.0054738*i57*i68 + 0.01078148*i57*i69 + 0.00688352*i57*i70 + 0.0068114*i57
    *i71 + 0.00628102*i57*i72 + 0.00701898*i57*i73 + 0.00848154*i57*i74 + 
    0.0066742*i57*i75 + 0.00450208*i57*i76 + 0.0074907*i57*i77 + 0.00457588*i57
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    0.0038917*i57*i82 + 0.000255196*i57*i83 + 0.00565464*i57*i84 + 0.00629044*
    i57*i85 + 0.00649918*i57*i86 + 0.00619514*i57*i87 + 0.01578988*i57*i88 + 
    0.00523946*i57*i89 + 0.00717944*i57*i90 + 0.0080494*i57*i91 + 0.00534064*
    i57*i92 + 0.00276512*i57*i93 + 0.00412012*i57*i94 + 0.00715034*i57*i95 + 
    0.01300638*i57*i96 + 0.00826382*i57*i97 + 0.0068466*i57*i98 + 0.00897648*
    i57*i99 + 0.01037138*i57*i100 + 0.00646004*i58*i59 + 0.00186599*i58*i60 + 
    0.01246886*i58*i61 + 0.00999352*i58*i62 + 0.01381952*i58*i63 + 0.00855014*
    i58*i64 + 0.00465434*i58*i65 + 0.00825376*i58*i66 + 0.00576402*i58*i67 + 
    0.00273548*i58*i68 + 0.01035762*i58*i69 + 0.004824*i58*i70 + 0.01355144*i58
    *i71 + 0.00700278*i58*i72 + 0.00707718*i58*i73 + 0.00851974*i58*i74 + 
    0.00330912*i58*i75 + 0.00401842*i58*i76 + 0.00999942*i58*i77 + 0.00277578*
    i58*i78 - 0.000989722*i58*i79 + 0.00742188*i58*i80 + 0.00901096*i58*i81 + 
    0.000981242*i58*i82 + 0.01290728*i58*i83 + 0.0083181*i58*i84 + 0.00517936*
    i58*i85 + 0.00723458*i58*i86 + 0.0044253*i58*i87 + 0.0137847*i58*i88 + 
    0.001547694*i58*i89 + 0.00582604*i58*i90 + 0.00844516*i58*i91 + 0.00776542*
    i58*i92 + 0.00182761*i58*i93 + 0.0023829*i58*i94 + 0.00628056*i58*i95 + 
    0.00690478*i58*i96 + 0.00802988*i58*i97 + 0.0076502*i58*i98 + 0.01085276*
    i58*i99 + 0.0112764*i58*i100 + 0.00476864*i59*i60 + 0.025812*i59*i61 + 
    0.01805478*i59*i62 + 0.0109551*i59*i63 + 0.00938908*i59*i64 + 0.01178962*
    i59*i65 + 0.0076335*i59*i66 + 0.01177666*i59*i67 + 0.0070214*i59*i68 + 
    0.0221478*i59*i69 + 0.007972*i59*i70 + 0.0074733*i59*i71 + 0.0088486*i59*
    i72 + 0.01271666*i59*i73 + 0.0141508*i59*i74 + 0.00914726*i59*i75 + 
    0.00537448*i59*i76 + 0.01084216*i59*i77 + 0.0073258*i59*i78 + 0.0246694*i59
    *i79 + 0.01112936*i59*i80 + 0.00816652*i59*i81 + 0.00597972*i59*i82 + 
    0.00662172*i59*i83 + 0.01458364*i59*i84 + 0.01429256*i59*i85 + 0.01882618*
    i59*i86 + 0.01439702*i59*i87 + 0.034478*i59*i88 + 0.0080275*i59*i89 + 
    0.01623632*i59*i90 + 0.01482176*i59*i91 + 0.01127396*i59*i92 + 0.00550568*
    i59*i93 + 0.00798042*i59*i94 + 0.01294416*i59*i95 + 0.0212862*i59*i96 + 
    0.01627426*i59*i97 + 0.0106876*i59*i98 + 0.021021*i59*i99 + 0.0210024*i59*
    i100 + 0.01016558*i60*i61 + 0.00950624*i60*i62 + 0.00759926*i60*i63 + 
    0.00405624*i60*i64 + 0.00408766*i60*i65 + 0.001012866*i60*i66 + 0.00434698*
    i60*i67 + 0.00457798*i60*i68 + 0.0080193*i60*i69 + 0.0054101*i60*i70 + 
    0.0046192*i60*i71 + 0.00570946*i60*i72 + 0.00452172*i60*i73 + 0.00634618*
    i60*i74 + 0.00624388*i60*i75 + 0.0033187*i60*i76 + 0.00483228*i60*i77 + 
    0.00344686*i60*i78 + 0.0083673*i60*i79 + 0.00518592*i60*i80 + 0.00542166*
    i60*i81 + 0.0031059*i60*i82 - 0.001025068*i60*i83 + 0.0028835*i60*i84 + 
    0.00445296*i60*i85 + 0.00423572*i60*i86 + 0.0051822*i60*i87 + 0.01112192*
    i60*i88 + 0.00500464*i60*i89 + 0.0062184*i60*i90 + 0.00602*i60*i91 + 
    0.00246398*i60*i92 + 0.00288384*i60*i93 + 0.00278724*i60*i94 + 0.00626372*
    i60*i95 + 0.01170704*i60*i96 + 0.00615192*i60*i97 + 0.00462302*i60*i98 + 
    0.00471294*i60*i99 + 0.00588256*i60*i100 + 0.0418718*i61*i62 + 0.0230598*
    i61*i63 + 0.01842282*i61*i64 + 0.01721234*i61*i65 + 0.00990124*i61*i66 + 
    0.0216044*i61*i67 + 0.01473812*i61*i68 + 0.0394464*i61*i69 + 0.01716988*i61
    *i70 + 0.0195513*i61*i71 + 0.0219932*i61*i72 + 0.01943214*i61*i73 + 
    0.020134*i61*i74 + 0.0174732*i61*i75 + 0.01174406*i61*i76 + 0.01834496*i61*
    i77 + 0.01109086*i61*i78 + 0.0264464*i61*i79 + 0.01965936*i61*i80 + 
    0.0227546*i61*i81 + 0.00831452*i61*i82 + 0.00631004*i61*i83 + 0.01801602*
    i61*i84 + 0.01882322*i61*i85 + 0.026381*i61*i86 + 0.0201168*i61*i87 + 
    0.0582994*i61*i88 + 0.01420784*i61*i89 + 0.0279352*i61*i90 + 0.0260044*i61*
    i91 + 0.01994278*i61*i92 + 0.00558188*i61*i93 + 0.0100806*i61*i94 + 
    0.0228614*i61*i95 + 0.0472894*i61*i96 + 0.0277624*i61*i97 + 0.0233414*i61*
    i98 + 0.0320998*i61*i99 + 0.037788*i61*i100 + 0.0226754*i62*i63 + 
    0.01497022*i62*i64 + 0.0138219*i62*i65 + 0.00559668*i62*i66 + 0.01850946*
    i62*i67 + 0.01131414*i62*i68 + 0.0392412*i62*i69 + 0.01609634*i62*i70 + 
    0.0216048*i62*i71 + 0.0216526*i62*i72 + 0.0150155*i62*i73 + 0.01738604*i62*
    i74 + 0.01374744*i62*i75 + 0.00779326*i62*i76 + 0.01429558*i62*i77 + 
    0.0081994*i62*i78 + 0.024889*i62*i79 + 0.01494124*i62*i80 + 0.0229898*i62*
    i81 + 0.00445144*i62*i82 + 0.01114552*i62*i83 + 0.01793036*i62*i84 + 
    0.01444614*i62*i85 + 0.01879448*i62*i86 + 0.01466504*i62*i87 + 0.0326604*
    i62*i88 + 0.01169144*i62*i89 + 0.0254028*i62*i90 + 0.01965996*i62*i91 + 
    0.01132102*i62*i92 + 0.0046546*i62*i93 + 0.00635342*i62*i94 + 0.0209304*i62
    *i95 + 0.040751*i62*i96 + 0.0251822*i62*i97 + 0.0238578*i62*i98 + 0.0225858
    *i62*i99 + 0.0313134*i62*i100 + 0.01545704*i63*i64 + 0.01086358*i63*i65 + 
    0.00996396*i63*i66 + 0.00982328*i63*i67 + 0.00892944*i63*i68 + 0.024956*i63
    *i69 + 0.0125295*i63*i70 + 0.0274234*i63*i71 + 0.0136346*i63*i72 + 
    0.0143589*i63*i73 + 0.01281966*i63*i74 + 0.009889*i63*i75 + 0.00617316*i63*
    i76 + 0.0195622*i63*i77 + 0.00502572*i63*i78 + 0.00153262*i63*i79 + 
    0.01706792*i63*i80 + 0.01790944*i63*i81 + 0.001490592*i63*i82 + 0.0267338*
    i63*i83 + 0.01586496*i63*i84 + 0.01166282*i63*i85 + 0.01568614*i63*i86 + 
    0.00753188*i63*i87 + 0.0417782*i63*i88 + 0.0112216*i63*i89 + 0.00371206*i63
    *i90 + 0.01829192*i63*i91 + 0.01841964*i63*i92 + 0.00206622*i63*i93 + 
    0.00505172*i63*i94 + 0.01487174*i63*i95 + 0.01414348*i63*i96 + 0.0156802*
    i63*i97 + 0.01823426*i63*i98 + 0.01258764*i63*i99 + 0.01994098*i63*i100 + 
    0.00854654*i64*i65 + 0.01079866*i64*i66 + 0.00602732*i64*i67 + 0.00921276*
    i64*i68 + 0.01464414*i64*i69 + 0.00664932*i64*i70 + 0.0144736*i64*i71 + 
    0.00978338*i64*i72 + 0.00959208*i64*i73 + 0.0112566*i64*i74 + 0.00671142*
    i64*i75 + 0.00408206*i64*i76 + 0.01167568*i64*i77 + 0.00375274*i64*i78 + 
    0.00404336*i64*i79 + 0.00963238*i64*i80 + 0.0122908*i64*i81 + 0.001806772*
    i64*i82 + 0.01577266*i64*i83 + 0.01128074*i64*i84 + 0.0095111*i64*i85 + 
    0.0097723*i64*i86 + 0.00346618*i64*i87 + 0.01289324*i64*i88 + 0.00453186*
    i64*i89 + 0.0078486*i64*i90 + 0.01310134*i64*i91 + 0.00985686*i64*i92 + 
    0.00257788*i64*i93 + 0.00260324*i64*i94 + 0.0108877*i64*i95 + 0.01349616*
    i64*i96 + 0.01306042*i64*i97 + 0.01405114*i64*i98 + 0.0115142*i64*i99 + 
    0.01728302*i64*i100 + 0.0048225*i65*i66 + 0.00871696*i65*i67 + 0.00504014*
    i65*i68 + 0.01673796*i65*i69 + 0.00728674*i65*i70 + 0.00969202*i65*i71 + 
    0.0082057*i65*i72 + 0.0103704*i65*i73 + 0.00998004*i65*i74 + 0.00672722*i65
    *i75 + 0.00633346*i65*i76 + 0.00774852*i65*i77 + 0.00440922*i65*i78 + 
    0.01343946*i65*i79 + 0.00798994*i65*i80 + 0.01225132*i65*i81 + 0.00444398*
    i65*i82 + 0.00673302*i65*i83 + 0.0109598*i65*i84 + 0.00683186*i65*i85 + 
    0.01183874*i65*i86 + 0.0090907*i65*i87 + 0.0283952*i65*i88 + 0.00785096*i65
    *i89 + 0.01125058*i65*i90 + 0.00510526*i65*i91 + 0.00837574*i65*i92 + 
    0.00385798*i65*i93 + 0.00464904*i65*i94 + 0.00896456*i65*i95 + 0.0160694*
    i65*i96 + 0.0113557*i65*i97 + 0.01155766*i65*i98 + 0.01443876*i65*i99 + 
    0.01238186*i65*i100 + 0.00548536*i66*i67 + 0.00630564*i66*i68 + 0.00939978*
    i66*i69 + 0.00431468*i66*i70 + 0.01542742*i66*i71 + 0.0071665*i66*i72 + 
    0.00755022*i66*i73 + 0.00838922*i66*i74 + 0.00386922*i66*i75 + 0.001951058*
    i66*i76 + 0.01146338*i66*i77 + 0.001980078*i66*i78 + 0.00444902*i66*i79 + 
    0.00356762*i66*i80 + 0.00956806*i66*i81 - 0.00023183*i66*i82 + 0.01703884*
    i66*i83 + 0.01002452*i66*i84 + 0.0062546*i66*i85 + 0.00563304*i66*i86 + 
    0.00514984*i66*i87 + 0.01908326*i66*i88 + 0.00457928*i66*i89 + 0.003995*i66
    *i90 + 0.0080501*i66*i91 + 0.00810108*i66*i92 + 0.00328186*i66*i93 + 
    0.00369064*i66*i94 + 0.0058103*i66*i95 + 0.00438208*i66*i96 + 0.00867896*
    i66*i97 + 0.0114927*i66*i98 + 0.01103938*i66*i99 + 0.00981454*i66*i100 + 
    0.00310364*i67*i68 + 0.0195756*i67*i69 + 0.00833924*i67*i70 + 0.01122*i67*
    i71 + 0.00862168*i67*i72 + 0.00711248*i67*i73 + 0.00958304*i67*i74 + 
    0.00671208*i67*i75 + 0.00667666*i67*i76 + 0.00639998*i67*i77 + 0.00746068*
    i67*i78 + 0.0164696*i67*i79 + 0.00952472*i67*i80 + 0.01054908*i67*i81 + 
    0.00295206*i67*i82 + 0.00786538*i67*i83 + 0.00812566*i67*i84 + 0.00774908*
    i67*i85 + 0.01084866*i67*i86 + 0.01179554*i67*i87 + 0.022894*i67*i88 + 
    0.00619526*i67*i89 + 0.01517056*i67*i90 + 0.00567344*i67*i91 + 0.00901318*
    i67*i92 + 0.00388018*i67*i93 + 0.0036956*i67*i94 + 0.008896*i67*i95 + 
    0.021896*i67*i96 + 0.01327636*i67*i97 + 0.0109*i67*i98 + 0.0178563*i67*i99
     + 0.01328366*i67*i100 + 0.01361686*i68*i69 + 0.00764086*i68*i70 + 
    0.00794036*i68*i71 + 0.01077146*i68*i72 + 0.00701056*i68*i73 + 0.00764336*
    i68*i74 + 0.01085638*i68*i75 + 0.00267198*i68*i76 + 0.00622086*i68*i77 + 
    0.0026961*i68*i78 + 0.01283914*i68*i79 + 0.00651186*i68*i80 + 0.00444824*
    i68*i81 + 0.00245108*i68*i82 - 0.000724804*i68*i83 + 0.01001432*i68*i84 + 
    0.00659112*i68*i85 + 0.00798872*i68*i86 + 0.00378278*i68*i87 + 0.0249894*
    i68*i88 + 0.00935338*i68*i89 + 0.00406214*i68*i90 + 0.01547864*i68*i91 + 
    0.0026383*i68*i92 + 0.001956366*i68*i93 + 0.00433104*i68*i94 + 0.0086862*
    i68*i95 + 0.00871594*i68*i96 + 0.00917804*i68*i97 + 0.01147728*i68*i98 + 
    0.000904318*i68*i99 + 0.0095902*i68*i100 + 0.01716134*i69*i70 + 0.0210128*
    i69*i71 + 0.01970512*i69*i72 + 0.01824406*i69*i73 + 0.0202038*i69*i74 + 
    0.0166321*i69*i75 + 0.0080034*i69*i76 + 0.01785698*i69*i77 + 0.00956708*i69
    *i78 + 0.0273938*i69*i79 + 0.01578286*i69*i80 + 0.01986548*i69*i81 + 
    0.00472512*i69*i82 + 0.0064477*i69*i83 + 0.0205866*i69*i84 + 0.01485404*i69
    *i85 + 0.0219926*i69*i86 + 0.01726592*i69*i87 + 0.044296*i69*i88 + 
    0.01519388*i69*i89 + 0.0245318*i69*i90 + 0.019668*i69*i91 + 0.01322886*i69*
    i92 + 0.00622812*i69*i93 + 0.00886068*i69*i94 + 0.0207946*i69*i95 + 
    0.0369544*i69*i96 + 0.0252064*i69*i97 + 0.0246794*i69*i98 + 0.0240826*i69*
    i99 + 0.0322226*i69*i100 + 0.01122678*i70*i71 + 0.00985708*i70*i72 + 
    0.00817346*i70*i73 + 0.01042594*i70*i74 + 0.0087512*i70*i75 + 0.00587552*
    i70*i76 + 0.00956692*i70*i77 + 0.00604702*i70*i78 + 0.01012786*i70*i79 + 
    0.00894572*i70*i80 + 0.00937532*i70*i81 + 0.0040741*i70*i82 + 0.001290572*
    i70*i83 + 0.00820512*i70*i84 + 0.00683756*i70*i85 + 0.00768078*i70*i86 + 
    0.00827048*i70*i87 + 0.01990564*i70*i88 + 0.007123*i70*i89 + 0.00998564*i70
    *i90 + 0.00953688*i70*i91 + 0.00558782*i70*i92 + 0.00342686*i70*i93 + 
    0.00568486*i70*i94 + 0.00914938*i70*i95 + 0.01630104*i70*i96 + 0.01110616*
    i70*i97 + 0.010247*i70*i98 + 0.00833958*i70*i99 + 0.01265252*i70*i100 + 
    0.0220254*i71*i72 + 0.0095213*i71*i73 + 0.01209936*i71*i74 + 0.00527094*i71
    *i75 + 0.00557218*i71*i76 + 0.01262004*i71*i77 + 0.0037353*i71*i78 - 
    0.000223588*i71*i79 + 0.00801532*i71*i80 + 0.0286786*i71*i81 + 0.000788336*
    i71*i82 + 0.0387752*i71*i83 + 0.01552284*i71*i84 + 0.00720994*i71*i85 + 
    0.01148132*i71*i86 + 0.00870698*i71*i87 + 0.028675*i71*i88 + 0.00544718*i71
    *i89 + 0.00673884*i71*i90 + 0.01008984*i71*i91 + 0.01241834*i71*i92 + 
    0.0025495*i71*i93 + 0.00280272*i71*i94 + 0.00947552*i71*i95 + 0.0070495*i71
    *i96 + 0.0170916*i71*i97 + 0.0269036*i71*i98 + 0.01506306*i71*i99 + 
    0.0206782*i71*i100 + 0.00925426*i72*i73 + 0.00967792*i72*i74 + 0.00847338*
    i72*i75 + 0.005213*i72*i76 + 0.00908662*i72*i77 + 0.00316872*i72*i78 + 
    0.00898138*i72*i79 + 0.0069179*i72*i80 + 0.0151281*i72*i81 + 0.00348424*i72
    *i82 + 0.01111986*i72*i83 + 0.01165966*i72*i84 + 0.0064802*i72*i85 + 
    0.00959246*i72*i86 + 0.0084611*i72*i87 + 0.0240956*i72*i88 + 0.00687054*i72
    *i89 + 0.0094553*i72*i90 + 0.0110757*i72*i91 + 0.00543508*i72*i92 + 
    0.0037306*i72*i93 + 0.00500972*i72*i94 + 0.01005818*i72*i95 + 0.01294332*
    i72*i96 + 0.01344022*i72*i97 + 0.01593132*i72*i98 + 0.0093216*i72*i99 + 
    0.01640118*i72*i100 + 0.01198598*i73*i74 + 0.00750544*i73*i75 + 0.0050216*
    i73*i76 + 0.01285904*i73*i77 + 0.00339452*i73*i78 + 0.00891788*i73*i79 + 
    0.00948614*i73*i80 + 0.00944098*i73*i81 + 0.00409826*i73*i82 + 0.00488372*
    i73*i83 + 0.01210326*i73*i84 + 0.00827726*i73*i85 + 0.0117403*i73*i86 + 
    0.00812428*i73*i87 + 0.031499*i73*i88 + 0.00909586*i73*i89 + 0.00829156*i73
    *i90 + 0.0112196*i73*i91 + 0.00781298*i73*i92 + 0.00380884*i73*i93 + 
    0.00624296*i73*i94 + 0.01005016*i73*i95 + 0.01437472*i73*i96 + 0.011277*i73
    *i97 + 0.01058622*i73*i98 + 0.0121454*i73*i99 + 0.01373088*i73*i100 + 
    0.01080198*i74*i75 + 0.00656182*i74*i76 + 0.01437682*i74*i77 + 0.00746976*
    i74*i78 + 0.0158128*i74*i79 + 0.01161714*i74*i80 + 0.01098286*i74*i81 + 
    0.00409892*i74*i82 + 0.00263806*i74*i83 + 0.01368742*i74*i84 + 0.00966578*
    i74*i85 + 0.0126469*i74*i86 + 0.0097362*i74*i87 + 0.0236752*i74*i88 + 
    0.0087263*i74*i89 + 0.01653132*i74*i90 + 0.01259886*i74*i91 + 0.0074886*i74
    *i92 + 0.00612882*i74*i93 + 0.00553384*i74*i94 + 0.01256076*i74*i95 + 
    0.022837*i74*i96 + 0.01489052*i74*i97 + 0.0138654*i74*i98 + 0.01608016*i74*
    i99 + 0.0185439*i74*i100 + 0.00483222*i75*i76 + 0.0084646*i75*i77 + 
    0.00605234*i75*i78 + 0.01627408*i75*i79 + 0.00784142*i75*i80 + 0.00564276*
    i75*i81 + 0.00324588*i75*i82 - 0.00767236*i75*i83 + 0.00699372*i75*i84 + 
    0.00737608*i75*i85 + 0.00954642*i75*i86 + 0.00823136*i75*i87 + 0.0262748*
    i75*i88 + 0.00948902*i75*i89 + 0.01252876*i75*i90 + 0.01423104*i75*i91 + 
    0.00521492*i75*i92 + 0.00397698*i75*i93 + 0.00422896*i75*i94 + 0.01025216*
    i75*i95 + 0.021456*i75*i96 + 0.01000128*i75*i97 + 0.00860654*i75*i98 + 
    0.0079023*i75*i99 + 0.01223272*i75*i100 + 0.00508036*i76*i77 + 0.00440326*
    i76*i78 + 0.00722936*i76*i79 + 0.00592748*i76*i80 + 0.00543106*i76*i81 + 
    0.00352072*i76*i82 + 0.00282876*i76*i83 + 0.00421804*i76*i84 + 0.00327576*
    i76*i85 + 0.00605002*i76*i86 + 0.00724932*i76*i87 + 0.01581762*i76*i88 + 
    0.00366428*i76*i89 + 0.00812736*i76*i90 + 0.00388382*i76*i91 + 0.0047062*
    i76*i92 + 0.00287772*i76*i93 + 0.00297876*i76*i94 + 0.00459654*i76*i95 + 
    0.01070758*i76*i96 + 0.0061617*i76*i97 + 0.00324936*i76*i98 + 0.00970994*
    i76*i99 + 0.00690694*i76*i100 + 0.00393188*i77*i78 + 0.00648912*i77*i79 + 
    0.00880144*i77*i80 + 0.00990674*i77*i81 + 0.00277832*i77*i82 + 0.01369158*
    i77*i83 + 0.01108874*i77*i84 + 0.00804488*i77*i85 + 0.0100624*i77*i86 + 
    0.00868852*i77*i87 + 0.0320896*i77*i88 + 0.00865688*i77*i89 + 0.00846622*
    i77*i90 + 0.01262084*i77*i91 + 0.01111726*i77*i92 + 0.00462154*i77*i93 + 
    0.00718072*i77*i94 + 0.01147082*i77*i95 + 0.0176254*i77*i96 + 0.01224072*
    i77*i97 + 0.00939734*i77*i98 + 0.012534*i77*i99 + 0.01295098*i77*i100 + 
    0.00907912*i78*i79 + 0.00720642*i78*i80 + 0.00426806*i78*i81 + 0.0028332*
    i78*i82 - 0.001354666*i78*i83 + 0.00318608*i78*i84 + 0.00627032*i78*i85 + 
    0.00574778*i78*i86 + 0.00663794*i78*i87 + 0.00493084*i78*i88 + 0.00225816*
    i78*i89 + 0.01063042*i78*i90 + 0.0063342*i78*i91 + 0.00541402*i78*i92 + 
    0.00268782*i78*i93 + 0.00290288*i78*i94 + 0.00588184*i78*i95 + 0.01436716*
    i78*i96 + 0.00728756*i78*i97 + 0.00442972*i78*i98 + 0.00924454*i78*i99 + 
    0.00979098*i78*i100 + 0.0060581*i79*i80 + 0.00755126*i79*i81 + 0.00637932*
    i79*i82 - 0.00105651*i79*i83 + 0.01349704*i79*i84 + 0.01178354*i79*i85 + 
    0.0220208*i79*i86 + 0.0245836*i79*i87 + 0.0524002*i79*i88 + 0.0230428*i79*
    i89 + 0.0314514*i79*i90 + 0.00636018*i79*i91 + 0.0061917*i79*i92 + 
    0.01207768*i79*i93 + 0.00753416*i79*i94 + 0.01719794*i79*i95 + 0.0367202*
    i79*i96 + 0.01636496*i79*i97 + 0.01053626*i79*i98 + 0.0223148*i79*i99 + 
    0.0125583*i79*i100 + 0.00731124*i80*i81 + 0.0043053*i80*i82 + 0.00250064*
    i80*i83 + 0.00942746*i80*i84 + 0.01109824*i80*i85 + 0.0094077*i80*i86 + 
    0.00584688*i80*i87 + 0.01773876*i80*i88 + 0.00587054*i80*i89 + 0.0073899*
    i80*i90 + 0.01217556*i80*i91 + 0.0092825*i80*i92 + 0.001672258*i80*i93 + 
    0.00403362*i80*i94 + 0.01001412*i80*i95 + 0.01641906*i80*i96 + 0.01159292*
    i80*i97 + 0.01062798*i80*i98 + 0.00967468*i80*i99 + 0.0140493*i80*i100 + 
    0.00288116*i81*i82 + 0.022981*i81*i83 + 0.01105584*i81*i84 + 0.00722284*i81
    *i85 + 0.01178602*i81*i86 + 0.00945868*i81*i87 + 0.024973*i81*i88 + 
    0.00575624*i81*i89 + 0.01415098*i81*i90 + 0.0066048*i81*i91 + 0.01072344*
    i81*i92 + 0.00322326*i81*i93 + 0.00351188*i81*i94 + 0.01127788*i81*i95 + 
    0.01956074*i81*i96 + 0.01617428*i81*i97 + 0.0227228*i81*i98 + 0.01855842*
    i81*i99 + 0.01991896*i81*i100 - 0.00333172*i82*i83 + 0.00228114*i82*i84 + 
    0.00336158*i82*i85 + 0.00354748*i82*i86 + 0.00514572*i82*i87 + 0.00636398*
    i82*i88 + 0.00276272*i82*i89 + 0.00394504*i82*i90 + 0.00242814*i82*i91 + 
    0.00151634*i82*i92 + 0.00205258*i82*i93 + 0.00416174*i82*i94 + 0.0036601*
    i82*i95 + 0.00573294*i82*i96 + 0.0040347*i82*i97 + 0.001040396*i82*i98 + 
    0.00519918*i82*i99 + 0.00479088*i82*i100 + 0.01497528*i83*i84 + 0.0032291*
    i83*i85 + 0.01011148*i83*i86 + 0.00471364*i83*i87 + 0.0246434*i83*i88 + 
    0.000996878*i83*i89 - 0.00262512*i83*i90 - 0.000789784*i83*i91 + 0.01304756
    *i83*i92 + 0.000531142*i83*i93 - 0.000443948*i83*i94 + 0.00279848*i83*i95
     - 0.0065326*i83*i96 + 0.01221224*i83*i97 + 0.01799712*i83*i98 + 0.0158385*
    i83*i99 + 0.0071337*i83*i100 + 0.00892568*i84*i85 + 0.01364388*i84*i86 + 
    0.0072533*i84*i87 + 0.0326884*i84*i88 + 0.00896504*i84*i89 + 0.00823562*i84
    *i90 + 0.0125821*i84*i91 + 0.00787816*i84*i92 + 0.00249586*i84*i93 + 
    0.00519262*i84*i94 + 0.01044988*i84*i95 + 0.01107886*i84*i96 + 0.0139867*
    i84*i97 + 0.01596046*i84*i98 + 0.01218826*i84*i99 + 0.01543212*i84*i100 + 
    0.00990954*i85*i86 + 0.00725662*i85*i87 + 0.0133432*i85*i88 + 0.00507396*
    i85*i89 + 0.00930526*i85*i90 + 0.01462284*i85*i91 + 0.01055408*i85*i92 + 
    0.00190258*i85*i93 + 0.00468802*i85*i94 + 0.0107648*i85*i95 + 0.01646608*
    i85*i96 + 0.01215728*i85*i97 + 0.01028698*i85*i98 + 0.01183266*i85*i99 + 
    0.01660366*i85*i100 + 0.0120373*i86*i87 + 0.0422718*i86*i88 + 0.00969238*
    i86*i89 + 0.01765146*i86*i90 + 0.01429788*i86*i91 + 0.0124585*i86*i92 + 
    0.0040945*i86*i93 + 0.0046898*i86*i94 + 0.01232074*i86*i95 + 0.0222548*i86*
    i96 + 0.0145479*i86*i97 + 0.0128277*i86*i98 + 0.0192244*i86*i99 + 
    0.01947568*i86*i100 + 0.032904*i87*i88 + 0.0084843*i87*i89 + 0.01591916*i87
    *i90 + 0.0059879*i87*i91 + 0.00789644*i87*i92 + 0.00607862*i87*i93 + 
    0.00667478*i87*i94 + 0.0088746*i87*i95 + 0.01963916*i87*i96 + 0.01115822*
    i87*i97 + 0.0065973*i87*i98 + 0.01821046*i87*i99 + 0.01269924*i87*i100 + 
    0.04164*i88*i89 + 0.01700894*i88*i90 + 0.0282218*i88*i91 + 0.0247666*i88*
    i92 + 0.00860626*i88*i93 + 0.0146832*i88*i94 + 0.0207292*i88*i95 + 
    0.0482992*i88*i96 + 0.026772*i88*i97 + 0.0300758*i88*i98 + 0.0329128*i88*
    i99 + 0.01375988*i88*i100 + 0.00594302*i89*i90 + 0.00801468*i89*i91 + 
    0.00437824*i89*i92 + 0.00302882*i89*i93 + 0.0041304*i89*i94 + 0.00803522*
    i89*i95 + 0.01620516*i89*i96 + 0.00836644*i89*i97 + 0.01022328*i89*i98 + 
    0.0069101*i89*i99 + 0.00464412*i89*i100 + 0.01014268*i90*i91 + 0.00890216*
    i90*i92 + 0.00857494*i90*i93 + 0.00416286*i90*i94 + 0.01435266*i90*i95 + 
    0.038709*i90*i96 + 0.01593092*i90*i97 + 0.0108455*i90*i98 + 0.0247362*i90*
    i99 + 0.0239224*i90*i100 + 0.01172504*i91*i92 - 3.25928e-5*i91*i93 + 
    0.00582154*i91*i94 + 0.01455814*i91*i95 + 0.0217724*i91*i96 + 0.01520358*
    i91*i97 + 0.01361584*i91*i98 + 0.01107608*i91*i99 + 0.0218082*i91*i100 + 
    0.000834202*i92*i93 + 0.00361846*i92*i94 + 0.00964536*i92*i95 + 0.01621624*
    i92*i96 + 0.01139352*i92*i97 + 0.01032652*i92*i98 + 0.01663626*i92*i99 + 
    0.01551254*i92*i100 + 0.00302326*i93*i94 + 0.0039602*i93*i95 + 0.0070366*
    i93*i96 + 0.0035814*i93*i97 + 0.00156313*i93*i98 + 0.00599576*i93*i99 + 
    0.00427812*i93*i100 + 0.00550244*i94*i95 + 0.00558508*i94*i96 + 0.0059384*
    i94*i97 + 0.00357124*i94*i98 + 0.0064057*i94*i99 + 0.00623724*i94*i100 + 
    0.0227304*i95*i96 + 0.01445112*i95*i97 + 0.01257804*i95*i98 + 0.01368382*
    i95*i99 + 0.01773414*i95*i100 + 0.0257114*i96*i97 + 0.01933344*i96*i98 + 
    0.0317874*i96*i99 + 0.0306278*i96*i100 + 0.01873902*i97*i98 + 0.01912542*
    i97*i99 + 0.0219022*i97*i100 + 0.01388668*i98*i99 + 0.0207524*i98*i100 + 
    0.0256994*i99*i100 - x101 <= 0;

e2:    0.00211438*i1 - 0.0206628*i2 - 0.0144176*i3 - 0.00787102*i4
     - 0.0157519*i5 - 0.0194501*i6 - 0.0163449*i7 - 0.137908*i8 + 0.0163991*i9
     - 0.00259102*i10 - 0.0478625*i11 + 0.00063166*i12 - 0.00531355*i13
     - 0.0387972*i14 - 0.0159845*i15 - 0.0114868*i16 + 0.0228532*i17
     - 0.0114023*i18 + 0.000301703*i19 - 0.0484684*i20 - 0.00793531*i21
     - 0.00767252*i22 - 0.0073525*i23 - 0.0215131*i24 - 0.00739281*i25
     - 0.00185931*i26 - 0.0212418*i27 - 0.0114094*i28 - 0.00828791*i29
     - 0.0660481*i30 + 0.00279685*i31 - 0.00973524*i32 - 0.0201879*i33
     - 0.0272863*i34 - 0.0158439*i35 - 0.0195713*i36 - 0.0107821*i37
     - 0.0179321*i38 - 0.0136042*i39 + 0.0137787*i40 - 0.0222007*i41
     - 0.0146018*i42 - 0.00504129*i43 - 0.01193*i44 - 0.0148447*i45
     - 0.00381865*i46 - 0.0178853*i47 - 0.00710726*i48 - 0.00413898*i49
     - 0.032707*i50 - 0.00051132*i51 - 0.0145947*i52 - 0.00671196*i53
     - 0.0168213*i54 - 0.00651418*i55 - 0.000925408*i56 - 0.00472748*i57
     - 7.873E-5*i58 - 0.00843836*i59 + 0.00459625*i60 - 0.0180773*i61
     - 0.0331089*i62 - 0.0240835*i63 - 0.0143205*i64 - 0.00888571*i65
     - 0.0349356*i66 + 0.00127885*i67 - 0.011863*i68 - 0.0181333*i69
     - 0.00615196*i70 - 0.0254616*i71 - 0.00305996*i72 + 0.00181383*i73
     - 0.00273674*i74 - 0.0189568*i75 - 0.00759808*i76 - 0.0118104*i77
     - 0.00657398*i78 - 0.0437583*i79 + 0.00083802*i80 - 0.0188204*i81
     - 0.00428309*i82 - 0.0217823*i83 - 0.0120875*i84 - 0.0138258*i85
     - 0.00542073*i86 - 0.0100305*i87 + 0.0193439*i88 - 0.0233604*i89
     - 0.0159007*i90 - 0.0203623*i91 - 0.014037*i92 - 0.00397365*i93
     - 0.0122456*i94 - 0.00569496*i95 - 0.00782019*i96 - 0.00427006*i97
     - 0.0268562*i98 - 0.0225847*i99 - 0.0241142*i100 >= 0;

e3:    52.59*i1 + 28.87*i2 + 29.19*i3 + 46.55*i4 + 24.26*i5 + 42.53*i6
     + 40.53*i7 + 79.56*i8 + 108.9*i9 + 79.06*i10 + 20.15*i11 + 35.64*i12
     + 39.55*i13 + 14.32*i14 + 26.41*i15 + 62.48*i16 + 254.3*i17 + 32.42*i18
     + 24.84*i19 + 10.1*i20 + 21.2*i21 + 40.25*i22 + 17.32*i23 + 60.92*i24
     + 54.73*i25 + 78.62*i26 + 49.24*i27 + 68.19*i28 + 50.3*i29 + 3.83*i30
     + 18.27*i31 + 59.67*i32 + 12.21*i33 + 38.09*i34 + 71.72*i35 + 23.6*i36
     + 70.71*i37 + 56.98*i38 + 34.47*i39 + 10.23*i40 + 59.19*i41 + 58.61*i42
     + 445.29*i43 + 131.69*i44 + 34.24*i45 + 43.11*i46 + 25.18*i47 + 28*i48
     + 19.43*i49 + 14.33*i50 + 28.41*i51 + 74.5*i52 + 36.54*i53 + 38.99*i54
     + 43.15*i55 + 199.55*i56 + 59.07*i57 + 123.55*i58 + 20.55*i59 + 66.72*i60
     + 37.95*i61 + 27.62*i62 + 23.21*i63 + 36.09*i64 + 23.09*i65 + 46.54*i66
     + 67.89*i67 + 34.83*i68 + 11.96*i69 + 45.77*i70 + 32.91*i71 + 77.37*i72
     + 21.46*i73 + 53.11*i74 + 14.29*i75 + 61.13*i76 + 32.79*i77 + 59.84*i78
     + 6.59*i79 + 14.06*i80 + 55.29*i81 + 33.33*i82 + 4.24*i83 + 23.21*i84
     + 47.85*i85 + 48.99*i86 + 57.46*i87 + 28.87*i88 + 24.6*i89 + 22.26*i90
     + 28.31*i91 + 26.67*i92 + 48.1*i93 + 28.01*i94 + 64.85*i95 + 25.54*i96
     + 31.47*i97 + 18.31*i98 + 35.06*i99 + 8.06*i100 >= 2000;

e4:    52.59*i1 + 28.87*i2 + 29.19*i3 + 46.55*i4 + 24.26*i5 + 42.53*i6
     + 40.53*i7 + 79.56*i8 + 108.9*i9 + 79.06*i10 + 20.15*i11 + 35.64*i12
     + 39.55*i13 + 14.32*i14 + 26.41*i15 + 62.48*i16 + 254.3*i17 + 32.42*i18
     + 24.84*i19 + 10.1*i20 + 21.2*i21 + 40.25*i22 + 17.32*i23 + 60.92*i24
     + 54.73*i25 + 78.62*i26 + 49.24*i27 + 68.19*i28 + 50.3*i29 + 3.83*i30
     + 18.27*i31 + 59.67*i32 + 12.21*i33 + 38.09*i34 + 71.72*i35 + 23.6*i36
     + 70.71*i37 + 56.98*i38 + 34.47*i39 + 10.23*i40 + 59.19*i41 + 58.61*i42
     + 445.29*i43 + 131.69*i44 + 34.24*i45 + 43.11*i46 + 25.18*i47 + 28*i48
     + 19.43*i49 + 14.33*i50 + 28.41*i51 + 74.5*i52 + 36.54*i53 + 38.99*i54
     + 43.15*i55 + 199.55*i56 + 59.07*i57 + 123.55*i58 + 20.55*i59 + 66.72*i60
     + 37.95*i61 + 27.62*i62 + 23.21*i63 + 36.09*i64 + 23.09*i65 + 46.54*i66
     + 67.89*i67 + 34.83*i68 + 11.96*i69 + 45.77*i70 + 32.91*i71 + 77.37*i72
     + 21.46*i73 + 53.11*i74 + 14.29*i75 + 61.13*i76 + 32.79*i77 + 59.84*i78
     + 6.59*i79 + 14.06*i80 + 55.29*i81 + 33.33*i82 + 4.24*i83 + 23.21*i84
     + 47.85*i85 + 48.99*i86 + 57.46*i87 + 28.87*i88 + 24.6*i89 + 22.26*i90
     + 28.31*i91 + 26.67*i92 + 48.1*i93 + 28.01*i94 + 64.85*i95 + 25.54*i96
     + 31.47*i97 + 18.31*i98 + 35.06*i99 + 8.06*i100 <= 2200;