LCOV - code coverage report
Current view: top level - atmosphere/ATM - ATMRefractiveIndex.cc (source / functions) Hit Total Coverage
Test: casacpp_coverage.info Lines: 439 546 80.4 %
Date: 2024-12-11 20:54:31 Functions: 36 41 87.8 %

          Line data    Source code
       1             : /*******************************************************************************
       2             :  * ALMA - Atacama Large Millimiter Array
       3             :  * (c) Instituto de Estructura de la Materia, 2009
       4             :  *
       5             :  * This library is free software; you can redistribute it and/or
       6             :  * modify it under the terms of the GNU Lesser General Public
       7             :  * License as published by the Free Software Foundation; either
       8             :  * version 2.1 of the License, or (at your option) any later version.
       9             :  *
      10             :  * This library is distributed in the hope that it will be useful,
      11             :  * but WITHOUT ANY WARRANTY; without even the implied warranty of
      12             :  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
      13             :  * Lesser General Public License for more details.
      14             :  *
      15             :  * You should have received a copy of the GNU Lesser General Public
      16             :  * License along with this library; if not, write to the Free Software
      17             :  * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307  USA
      18             :  *
      19             :  * "@(#) $Id: ATMRefractiveIndex.cpp Exp $"
      20             :  *
      21             :  * who       when      what
      22             :  * --------  --------  ----------------------------------------------
      23             :  * pardo     24/03/09  created
      24             :  */
      25             : 
      26             : #include "ATMRefractiveIndex.h"
      27             : 
      28             : #include <stdio.h>
      29             : #include <iostream>
      30             : #include <math.h>
      31             : 
      32             : using namespace std;
      33             : 
      34             : using std::cout;
      35             : 
      36             : 
      37             : ATM_NAMESPACE_BEGIN
      38             : 
      39             :   // Constructors
      40             : 
      41             : 
      42        1035 :   RefractiveIndex::RefractiveIndex(){ }
      43             : 
      44        1035 :   RefractiveIndex::~RefractiveIndex()
      45             :   {
      46             :     // rmRefractiveIndex();  // nonexistent method
      47        1035 :   }
      48             : 
      49    10668574 :   std::complex<double> RefractiveIndex::getRefractivity_o2(double temperature, double pressure, double wvpressure, double frequency){
      50             : 
      51             :     static const double abun_18o=0.0020439;
      52             :     static const double abun_17o=0.0003750;
      53             :     static const double o2_mixing_ratio=0.2092;
      54             : 
      55    10668574 :     std::complex<double> ccc = (mkSpecificRefractivity_16o16o(temperature,pressure,wvpressure,frequency)*(1.0-2.0*(abun_18o+abun_17o))*
      56    21337148 :                            (1.0-exp(-1556.38*1.43/temperature))+
      57    10668574 :                            mkSpecificRefractivity_16o16o_vib(temperature,pressure,wvpressure,frequency)*(1.0-2.0*(abun_18o+abun_17o))*
      58    32005722 :                            exp(-1556.38*1.43/temperature)
      59    21337148 :                            +mkSpecificRefractivity_16o18o(temperature,pressure,wvpressure,frequency)*2.0*abun_18o
      60    21337148 :                            +mkSpecificRefractivity_16o17o(temperature,pressure,wvpressure,frequency)*2.0*abun_17o
      61    21337148 :                            )*o2_mixing_ratio*pressure*100.0/(1.380662e-23*temperature);
      62             : 
      63             :     //      if(frequency<143&&frequency>142.21){cout << "O2: " << frequency << "  " << ccc << "  " << pressure <<  endl;}
      64             : 
      65    10668574 :     return ccc;
      66             : 
      67             :   }
      68             : 
      69           0 :   std::complex<double> RefractiveIndex::getRefractivity_o2(double temperature,double pressure,double wvpressure,
      70             :                                                       double frequency,double width,unsigned int n)
      71             :   {
      72           0 :     std::complex<double> average(0.0,0.0);
      73             :     double newfreq;
      74           0 :     for(unsigned int i=0; i<n; i++){
      75           0 :       if(n==1){
      76           0 :         newfreq=frequency;
      77             :       }else{
      78           0 :         newfreq=frequency-(width/2.0)+(width/(n-1))*i;
      79             :       }
      80           0 :       average=average+getRefractivity_o2(temperature,pressure,wvpressure,newfreq);
      81             :     }
      82           0 :     std::complex<double> averagen(real(average)/n,imag(average)/n);
      83           0 :     return averagen;
      84             :   }
      85             : 
      86             : 
      87             : 
      88    10668574 :   std::complex<double> RefractiveIndex::getRefractivity_h2o(double temperature, double pressure, double wvpressure, double frequency){
      89             : 
      90             :     static const double abun_18o=0.0020439;
      91             :     static const double abun_17o=0.0003750;
      92             :     static const double abun_D=0.000298444;
      93             :     static const double mmol_h2o=18.005059688;
      94             : 
      95    10668574 :     return (mkSpecificRefractivity_hh16o(temperature,pressure,wvpressure,frequency)*(1-abun_18o-abun_17o-2.0*abun_D)*
      96    21337148 :             (1.0-exp(-2322.92/temperature))+
      97    10668574 :             mkSpecificRefractivity_hh16o_v2(temperature,pressure,wvpressure,frequency)*(1-abun_18o-abun_17o-2.0*abun_D)*
      98    32005722 :             exp(-2322.92/temperature)+
      99    21337148 :             mkSpecificRefractivity_hh18o(temperature,pressure,wvpressure,frequency)*abun_18o+
     100    21337148 :             mkSpecificRefractivity_hh17o(temperature,pressure,wvpressure,frequency)*abun_17o+  //)* //+
     101    21337148 :             mkSpecificRefractivity_hdo(temperature,pressure,frequency)*2.0*abun_D)*
     102    21337148 :       (6.023e23*wvpressure*217.0/(temperature*mmol_h2o));
     103             :   }
     104             : 
     105           0 :   std::complex<double> RefractiveIndex::getRefractivity_h2o(double temperature,double pressure,double wvpressure,
     106             :                                                        double frequency,double width,unsigned int n)
     107             :   {
     108           0 :     std::complex<double> average(0.0,0.0);
     109             :     double newfreq;
     110           0 :     for(unsigned int i=0; i<n; i++){
     111           0 :       if(n==1){
     112           0 :         newfreq=frequency;
     113             :       }else{
     114           0 :         newfreq=frequency-(width/2.0)+(width/(n-1))*i;
     115             :       }
     116           0 :       average=average+getRefractivity_h2o(temperature,pressure,wvpressure,newfreq);
     117             :     }
     118           0 :     std::complex<double> averagen(real(average)/n,imag(average)/n);
     119           0 :     return averagen;
     120             :   }
     121             : 
     122             : 
     123    10668574 :   std::complex<double> RefractiveIndex::getSpecificRefractivity_o3(double temperature, double pressure, double frequency){
     124             : 
     125             :     static const double abun_18o=0.0020439;
     126             :     static const double abun_17o=0.0003750;
     127             :     static const double Tex_nu2=1009.5;   //(in Kelvin)  Degeneracy=1  http://www.cfa.harvard.edu/hitran/vibrational.html
     128             :     static const double Tex_nu1=1588.41;  //(in Kelvin)  Degeneracy=1
     129             :     static const double Tex_nu3=1500.48;  //(in Kelvin)  Degeneracy=1
     130             : 
     131             : 
     132    10668574 :     double pob_v2=exp(-Tex_nu2/temperature);
     133    10668574 :     double pob_v1=exp(-Tex_nu1/temperature);
     134    10668574 :     double pob_v3=exp(-Tex_nu3/temperature);
     135             : 
     136             : 
     137             :     std::complex<double> ccc =
     138           0 :       ((1-pob_v2-pob_v1-pob_v3)/(1.0+3.0*(abun_18o+abun_17o)))*
     139             :       (
     140    10668574 :        mkSpecificRefractivity_16o16o16o(temperature,pressure,frequency)
     141    21337148 :        +mkSpecificRefractivity_16o16o17o(temperature,pressure,frequency)*(2*abun_17o)
     142    21337148 :        +mkSpecificRefractivity_16o16o18o(temperature,pressure,frequency)*(2*abun_18o)
     143    21337148 :        +mkSpecificRefractivity_16o17o16o(temperature,pressure,frequency)*(abun_17o)
     144    21337148 :        +mkSpecificRefractivity_16o18o16o(temperature,pressure,frequency)*(abun_18o)
     145    10668574 :        )
     146    21337148 :       +mkSpecificRefractivity_16o16o16o_v2(temperature,pressure,frequency)*pob_v2
     147    21337148 :       +mkSpecificRefractivity_16o16o16o_v1(temperature,pressure,frequency)*pob_v1
     148    21337148 :       +mkSpecificRefractivity_16o16o16o_v3(temperature,pressure,frequency)*pob_v3;    //m^2
     149             : 
     150             :     //cout << "temperature=" << temperature << " pob_v2=" << pob_v2 << endl;
     151             : 
     152    10668574 :     return ccc;
     153             : 
     154             :   }
     155             : 
     156           0 :   std::complex<double> RefractiveIndex::getSpecificRefractivity_o3(double temperature,double pressure,double frequency,
     157             :                                                               double width,unsigned int n)
     158             :   {
     159           0 :     std::complex<double> average(0.0,0.0);
     160             :     double newfreq;
     161           0 :     for(unsigned int i=0; i<n; i++){
     162           0 :       if(n==1){
     163           0 :         newfreq=frequency;
     164             :       }else{
     165           0 :         newfreq=frequency-(width/2.0)+(width/(n-1))*i;
     166             :       }
     167           0 :       average=average+getSpecificRefractivity_o3(temperature,pressure,newfreq);
     168             :     }
     169           0 :     std::complex<double> averagen(real(average)/n,imag(average)/n);
     170           0 :     return averagen;
     171             :   }
     172             : 
     173   138691462 :   unsigned int RefractiveIndex::vpIndex(double nu)
     174             :   {
     175             :     unsigned int vp;
     176   138691462 :     if(nu<1.0){
     177     1255800 :       vp=0;
     178             :     }else{
     179   137435662 :       vp = (int) round((nu+1.0)/2.0);
     180   137435662 :       vp=vp-1;
     181             :     }
     182   138691462 :     return vp;
     183             :   }
     184             : 
     185  7901238565 :   double RefractiveIndex::linebroadening(double nu, double temp, double pr, double mmol, double dv0_lines, double texp_lines){
     186             : 
     187             :     // pr = pp.get(Pressure::UnitMilliBar);
     188             :     // temp = tt.get(Temperature::UnitKelvin);
     189             :     double dv0;
     190             :     double dv;
     191             : 
     192  7901238565 :     dv0=dv0_lines*pr*pow(300/temp,texp_lines); // EN GHz
     193             : 
     194  7901238565 :     double beta_dop=4.30e-7*nu*sqrt(temp/mmol);
     195  7901238565 :     if((dv0/beta_dop)<1.25){
     196   147110410 :       dv=0.535*dv0+sqrt(0.217*pow(dv0,2)+0.6931*pow(beta_dop,2));   // "Atmospheric Remote Sensing", Janssen, pag. 59
     197             :     }else{
     198  7754128155 :       dv=dv0;
     199             :     }
     200  7901238565 :     return dv;   //in GHz
     201             :   }
     202             : 
     203             : 
     204   630304381 :   double RefractiveIndex::linebroadening_o2(double nu, double temp, double pr, double eh2o, double mmol, double ensanche1, double ensanche2){
     205             : 
     206             :     // pr = pp.get(Pressure::UnitMilliBar);
     207             :     // eh2o = ph2o.get(Pressure::UnitMilliBar);
     208             :     // temp = tt.get(Temperature::UnitKelvin);
     209             :     // nu in GHz
     210             :     double dv0;
     211             :     double dv;
     212             : 
     213   630304381 :     dv0=1e-3*ensanche1*((pr-eh2o)*pow(300/temp,ensanche2)+1.1*eh2o*300/temp);             // EN GHz
     214             : 
     215   630304381 :     double beta_dop=4.30e-7*nu*sqrt(temp/mmol);
     216             : 
     217   630304381 :     if((dv0/beta_dop)<1.25){
     218     9164288 :       dv=0.535*dv0+sqrt(0.217*pow(dv0,2)+0.6931*pow(beta_dop,2));   // "Atmospheric Remote Sensing", Janssen, pag. 59
     219             :       //      cout << pp.get(Pressure::UnitMilliBar) << "mb: usando beta_dop" << endl;
     220             :     }else{
     221   621140093 :       dv=dv0;
     222             :     }
     223             : 
     224   630304381 :     return dv;   // in GHz
     225             : 
     226             :   }
     227             : 
     228             : 
     229   256904291 :   double RefractiveIndex::interf_o2(double temp, double pp, double ensanche3,double ensanche4){
     230             : 
     231             :     // temp = tt.get(Temperature::UnitKelvin);
     232             : 
     233   256904291 :     double interf=1e-3*(ensanche3+ensanche4*(300/temp))*pp*pow(300/temp,0.8);
     234   256904291 :     return interf;   // GHz
     235             : 
     236             :   }
     237             : 
     238             : 
     239  1683085839 :   double RefractiveIndex::linebroadening_water(double nu, double temp, double pr, double eh2o, double ensanche1, double ensanche2, double ensanche3, double ensanche4){
     240             : 
     241             :     static const double mmol=18.0;
     242             : 
     243             :     // nu GHz
     244             :     // pr = pp.get(Pressure::UnitMilliBar);
     245             :     // eh2o = ph2o.get(Pressure::UnitMilliBar);
     246             :     // temp = tt.get(Temperature::UnitKelvin);
     247             :     double dv0;
     248             :     double dv;
     249             : 
     250             : 
     251  1683085839 :     if(ensanche2>0){
     252  1683085839 :       dv0=1e-3*ensanche1*((pr-eh2o)*pow(300/temp,ensanche3)+ensanche2*eh2o*pow(300.0/temp,ensanche4));             // EN GHz
     253             :     }else{
     254           0 :       dv0=1e-3*ensanche1*((pr-eh2o)*pow(300/temp,0.68)+4.50*eh2o*pow(300.0/temp,0.80));             // EN GHz
     255             :     }
     256             : 
     257  1683085839 :     double beta_dop=3.58e-7*nu*sqrt(temp/mmol);
     258             : 
     259  1683085839 :     if((dv0/beta_dop)<1.25){
     260     1518848 :       dv=0.535*dv0+sqrt(0.217*pow(dv0,2)+0.6931*pow(beta_dop,2));   // "Atmospheric Remote Sensing", Janssen, pag. 59
     261             :       //      cout << pp.get(Pressure::UnitMilliBar) << "mb: usando beta_dop" << endl;
     262             :     }else{
     263  1681566991 :       dv=dv0;
     264             :     }
     265             : 
     266             :     //    cout << nu.get(Frequency::UnitGigaHertz) << "  " << pr << "  " <<  eh2o << "  " << dv << endl;
     267             : 
     268  1683085839 :     return dv; // GHz
     269             :   }
     270             : 
     271    29039473 :   double RefractiveIndex::linebroadening_hh18o_hh17o(double temp, double pr, double eh2o, double dv0, double dvlm, double temp_exp){
     272             : 
     273             :     // pr = pp.gPressure::UnitMilliBar);
     274             :     // eh2o = ph2o.get(Pressure::UnitMilliBar);
     275             :     // temp = tt.get(Temperature::UnitKelvin);
     276             :     double dv;
     277    29039473 :     double rho=18.0*eh2o*100/(8.315727226*temp);   // Na*Kb=8.315727226
     278    29039473 :     double c2=4.6E-03*rho*temp/pr;
     279             : 
     280    29039473 :     dv=(dv0*(pr/1013.0)/(pow(temp/300.0,temp_exp)))*(1.+c2*(dvlm/dv0-1.));
     281             : 
     282    29039473 :     return dv; // GHz
     283             :   }
     284             : 
     285             :   //  std::complex<double>  RefractiveIndex::lineshape(Frequency nu, Frequency linefreq, Frequency linebroad, Frequency interf){
     286 10278247886 :   std::complex<double>  RefractiveIndex::lineshape(double v, double vl, double dv, double itf){
     287             : 
     288             :     //    *********************************************************************************
     289             :     //    *  CALCULATION OF THIS PART OF THE COMPLEX VAN-VLECK WEISSKOPF LINE PROFILE:    *
     290             :     //    *  (1-i*itf)/(vl-v-idv) - (1+i*itf)/(vl+v+idv)                                  *
     291             :     //    *  FOR MOST CASES itf=0 AND THEN THE REAL AND IMAGINARY PARTS ARE:              *
     292             :     //    *   {[dv/((v-vl)**2+dv**2)]+[1/((v+vl)**2+dv**2)]}  IMAG  (UNITS 1/freq)        *
     293             :     //    *   {[(vl-v)/((v-vl)**2+dv**2)]-[(vl+v)/((v+vl)**2+dv**2)]} REAL (UNITS 1/freq) *
     294             :     //    *********************************************************************************
     295             : 
     296             :     //    dv  = linebroad.get(Frequency::UnitGigaHertz);      LINE BROADENING PARAMETER
     297             :     //    itf = interf.get(Frequency::UnitGigaHertz);         LINE INTERFERENCE
     298             :     //    vl  = linefreq.get(Frequency::UnitGigaHertz);       FREQUENCY OF RESONANT LINE
     299             :     //    v   = nu.get(Frequency::UnitGigaHertz);             CURRENT WORKING FREQUENCY
     300             : 
     301             :     //    double lf=dv*itf;
     302             :     //    double dv2=dv*dv;
     303             :     //    double dv2v2=dv2+v*v;
     304             :     //    double vl2=vl*vl;
     305             :     //    double vvl=2*v*vl;
     306             :     //    double aa=dv2v2+vl2;
     307             :     //    double a1=aa-vvl;
     308             :     //    double a2=aa+vvl;
     309             : 
     310             :     //    double fv=((dv-(vl-v)*itf)/a1+(dv-(vl+v)*itf)/a2);       //   ! line profile (imaginary)
     311             :                                                                    //   !          in 1/frec units
     312             :     //    double frv=((vl-v+lf)/a1-(vl+v+lf)/a2);                  //   ! delay profile (real part)
     313             : 
     314             :     //  return std::complex<double> (frv,fv)*(v/vl);
     315             : 
     316 20556495772 :     return std::complex<double> (v/vl)*(std::complex<double>(1.0,-itf)/std::complex<double>(vl-v,-dv)
     317 41112991544 :                                    - std::complex<double>(1.0,itf)/std::complex<double>(vl+v, dv) );
     318             :   }
     319             : 
     320             :   ////////////////////////////////////////////////////////////////////////////////
     321             :   //   ATM    1: 16o16o      7: no2        13: hh18o          19: 16o16o16o_v3  //
     322             :   // opacity  2: 16o16o_vib  8: so2        14: hh17o          20: 16o16o18o     //
     323             :   // sources  3: 16o18o      9: cnth2o     15: hdo            21: 16o16o17o     //
     324             :   //          4: 16o17o     10: cntdry     16: 16o16o16o      22: 16o18o16o     //
     325             :   //  Jan-24  5: co         11: hh16o      17: 16o16o16o_v2   23: 16o17o16o     //
     326             :   //   2011   6: n2o        12: hh16o_v2   18: 16o16o16o_v1                     //
     327             :   ////////////////////////////////////////////////////////////////////////////////
     328             : 
     329             : 
     330           0 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity(unsigned int species,
     331             :                                                            double tt, double pp, double eh2o,
     332             :                                                            double nu, double width, unsigned int n)
     333             :   {
     334           0 :     std::complex<double> average(0.0,0.0);
     335             :     double newfreq;
     336           0 :     for(unsigned int i=0; i<n; i++){
     337           0 :       if(n==1){
     338           0 :         newfreq=nu;
     339             :       }else{
     340           0 :         newfreq=nu-(width/2.0)+(width/(n-1))*i;
     341             :       }
     342             :       // average=average+mkSpecificRefractivity(species,tt,pp,eh2o,nu);
     343           0 :       average=average+mkSpecificRefractivity(species,tt,pp,eh2o,newfreq);  // 2015-11-30 replace nu with newfreq
     344             :     }
     345           0 :     std::complex<double> averagen(real(average)/n,imag(average)/n);
     346           0 :     return averagen;
     347             :   }
     348             : 
     349    64011444 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity(unsigned int species,
     350             :                                                            double tt, double pp, double eh2o,
     351             :                                                            double nu)
     352             :   {
     353    64011444 :     if(species==1){return mkSpecificRefractivity_16o16o(tt,pp,eh2o,nu);}
     354    64011444 :     if(species==2){return mkSpecificRefractivity_16o16o_vib(tt,pp,eh2o,nu);}
     355    64011444 :     if(species==3){return mkSpecificRefractivity_16o18o(tt,pp, eh2o, nu);}
     356    64011444 :     if(species==4){return mkSpecificRefractivity_16o17o(tt, pp, eh2o, nu);}
     357    64011444 :     if(species==5){return mkSpecificRefractivity_co(tt, pp, nu);}
     358    53342870 :     if(species==6){return mkSpecificRefractivity_n2o(tt, pp, nu);}
     359    42674296 :     if(species==7){return mkSpecificRefractivity_no2(tt, pp, nu);}
     360    32005722 :     if(species==8){return mkSpecificRefractivity_so2(tt, pp, nu);}
     361    21337148 :     if(species==9){return mkSpecificRefractivity_cnth2o(tt, pp, eh2o, nu);}
     362    10668574 :     if(species==10){return mkSpecificRefractivity_cntdry(tt, pp, eh2o, nu);}
     363           0 :     if(species==11){return mkSpecificRefractivity_hh16o(tt, pp, eh2o, nu);}
     364           0 :     if(species==12){return mkSpecificRefractivity_hh16o_v2(tt, pp, eh2o, nu);}
     365           0 :     if(species==13){return mkSpecificRefractivity_hh18o(tt, pp, eh2o, nu);}
     366           0 :     if(species==14){return mkSpecificRefractivity_hh17o(tt, pp, eh2o, nu);}
     367             :     //if(species==15){return mkSpecificRefractivity_hdo(tt, pp, eh2o, nu);}    // eh2o removed (unused parameter)
     368           0 :     if(species==15){return mkSpecificRefractivity_hdo(tt, pp, nu);}
     369           0 :     if(species==16){return mkSpecificRefractivity_16o16o16o(tt, pp, nu);}
     370           0 :     if(species==17){return mkSpecificRefractivity_16o16o16o_v2(tt, pp, nu);}
     371           0 :     if(species==18){return mkSpecificRefractivity_16o16o16o_v1(tt, pp, nu);}
     372           0 :     if(species==19){return mkSpecificRefractivity_16o16o16o_v3(tt, pp, nu);}
     373           0 :     if(species==20){return mkSpecificRefractivity_16o16o18o(tt, pp, nu);}
     374           0 :     if(species==21){return mkSpecificRefractivity_16o16o17o(tt, pp, nu);}
     375           0 :     if(species==22){return mkSpecificRefractivity_16o18o16o(tt, pp, nu);}
     376           0 :     if(species==23){return mkSpecificRefractivity_16o17o16o(tt, pp, nu);}
     377           0 :     std::complex<double> aa(0.0,0.0);
     378           0 :     return aa;
     379             :   }
     380             : 
     381             : 
     382             :   //////////////////////// Opacity Source Number: 8 //////////////////////////////
     383             : 
     384    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_so2(double tt, double pp, double nu){
     385             : 
     386             : 
     387             :     static const double fre[594]={
     388             :         0.52147,  2.83885,  3.04563,  4.02705,  4.19571,  4.54605,  6.83736,  6.84843,  7.16957,  7.50320,  8.42030,  8.91115,  9.40319, 11.78890, 12.13252, 12.25659, 14.58779, 16.68105,
     389             :        17.54005, 19.63706, 20.33545, 22.48252, 23.03485, 23.41427, 24.03967, 24.08350, 24.31960, 24.91578, 25.04943, 25.39279, 26.77654, 27.93237, 28.17912, 28.85797, 29.32132, 30.20556,
     390             :        31.08995, 31.92232, 34.09779, 36.06531, 36.33809, 37.35175, 38.51826, 38.90964, 39.44715, 41.17747, 42.68011, 43.01623, 43.17812, 44.05289, 44.87585, 47.66058, 47.91339, 48.12038,
     391             :        48.95807, 51.18525, 51.73671, 52.05180, 52.18853, 53.01527, 53.52887, 54.13910, 54.63360, 58.04268, 59.22487, 59.88371, 61.48988, 61.63615, 64.27712, 65.71408, 66.72482, 66.76118,
     392             :        67.01127, 67.84868, 68.97216, 69.46413, 69.48032, 69.57593, 69.65360, 70.13439, 72.43729, 72.66803, 72.75822, 73.43035, 74.86656, 76.41213, 76.53999, 77.92675, 82.40958, 82.75315,
     393             :        82.95197, 83.68810, 84.32088, 85.24708, 86.15376, 86.63912, 86.82893, 87.92624, 90.00505, 90.54808, 91.55049, 94.06474, 97.46642, 97.70237, 97.99401, 98.97634, 99.39246,100.87813,
     394             :       102.69010,102.70750,104.02941,104.03355,104.23930,106.67484,107.06014,107.84351,108.91541,108.95594,109.75763,110.36378,111.75494,111.87567,113.97066,114.56530,115.31760,116.98043,
     395             :       118.57740,118.99428,119.48306,120.02345,123.05772,123.19474,124.86480,125.42722,126.96254,126.98068,127.42819,128.10397,128.60512,129.10574,129.51482,130.67995,130.85936,131.01485,
     396             :       131.27490,132.74484,134.00482,134.20367,134.94334,135.69601,135.96306,139.35506,139.47455,140.30617,143.05710,143.35788,146.39380,146.55008,146.60553,147.23933,150.38110,150.48698,
     397             :       150.87881,151.37868,153.67711,154.37321,155.38968,157.13519,158.19980,158.84526,159.44798,160.34300,160.54305,160.82782,163.11934,163.56773,163.60553,163.92471,165.12367,165.14465,
     398             :       165.22543,166.38710,167.36740,168.78999,170.29376,170.75459,171.01808,171.03688,174.46376,175.10136,175.27574,176.29582,176.46619,179.00612,179.56100,180.04527,182.70601,183.58279,
     399             :       184.96985,185.27838,187.05534,187.33788,187.37022,187.44678,188.65498,190.14864,191.02101,191.06718,192.23622,192.65096,193.60941,194.49162,195.08032,195.32047,197.14211,197.58531,
     400             :       198.84799,199.41592,200.28749,200.80931,203.39146,203.57016,204.24680,204.38422,205.30055,207.42152,208.30310,208.70035,209.93608,211.05316,213.06850,213.70328,214.45181,214.68942,
     401             :       214.72833,215.09442,216.64333,217.63318,219.27603,221.96521,222.86903,223.43456,223.88359,224.26479,224.47337,225.15372,226.30006,226.50830,227.33588,229.34766,229.74986,230.96532,
     402             :       234.18713,234.35303,234.42163,235.15172,236.21666,237.06886,237.50179,238.99258,240.94278,241.61580,243.08768,243.24550,244.25420,245.33923,245.56343,247.16985,248.05740,248.83086,
     403             :       248.99515,250.81686,251.19966,251.21060,252.56393,253.93600,253.95660,254.19490,254.28055,254.28334,255.55331,255.81860,255.95807,256.24695,257.09998,257.31879,258.38882,258.66702,
     404             :       258.94223,259.59955,260.26941,262.25693,262.33401,262.52478,262.96979,263.21649,263.54404,265.48209,265.60849,266.94342,267.42841,267.53748,267.71994,268.16837,270.60559,271.52899,
     405             :       273.46268,273.75296,273.98270,275.24020,275.37555,277.08588,278.25101,280.80731,281.40262,281.68909,281.76260,282.03656,282.29279,282.63629,283.46475,285.74362,286.41626,286.65143,
     406             :       287.48553,288.51996,290.33868,292.88263,293.71786,296.16870,296.53549,296.80597,297.25723,297.78262,298.57632,299.31683,300.27353,301.89664,302.23627,306.30380,306.73886,307.18549,
     407             :       309.54858,310.01730,312.25842,312.54257,313.27972,313.40408,313.41232,313.66086,316.09891,316.48105,317.25043,318.23843,319.26062,319.27725,319.69891,321.33017,321.42068,321.78265,
     408             :       322.47549,323.02646,323.52637,325.90112,325.96033,326.41226,326.86752,327.21698,329.64603,329.68954,331.58023,332.09140,332.50525,333.04352,334.67334,336.08929,336.11356,336.66959,
     409             :       338.30603,338.61182,338.86969,340.31644,341.27557,341.40329,341.67410,342.76175,345.14896,345.33853,345.44907,346.52390,346.65219,348.38782,349.22714,349.78360,350.86279,351.25723,
     410             :       351.87390,352.63910,355.04553,355.15479,355.70557,356.04065,356.75522,357.16541,357.24121,357.38760,357.58148,357.67184,357.89246,357.92587,357.96295,358.01315,358.03790,358.21564,
     411             :       358.44186,359.15118,359.77075,360.29053,360.72186,363.15930,363.89084,363.92581,364.95016,366.21448,368.63004,368.76419,370.10861,371.17245,372.19308,375.17828,375.25922,375.37115,
     412             :       376.64117,377.97897,379.78131,380.12445,380.43369,380.49139,382.97345,383.01794,384.40851,384.44281,384.93539,385.02859,385.87186,386.60449,386.73801,387.56464,388.25970,388.32281,
     413             :       388.91223,389.32504,391.70807,394.43689,394.43954,394.58194,394.66473,394.77649,396.07956,397.00986,397.48270,398.91498,399.29984,399.48795,399.91473,401.65280,403.15308,403.82706,
     414             :       407.60602,407.71667,408.51663,408.91190,410.60822,411.18625,413.37518,413.92636,414.25943,414.74249,416.82565,416.95471,418.81583,419.01917,419.28638,419.76932,421.45184,423.20920,
     415             :       423.51370,427.13766,427.68845,428.76810,429.86411,430.19373,430.22870,430.23233,430.34766,430.62994,431.00177,433.16010,433.70990,434.58508,436.39667,436.57852,438.11185,438.70535,
     416             :       439.63260,440.41272,440.85318,441.39597,442.55783,443.17911,443.79178,446.52524,447.48734,449.38419,450.04132,451.49039,452.24777,452.36996,452.78699,453.12976,453.47855,453.70404,
     417             :       453.71707,454.09821,455.14191,455.15967,455.24725,455.34827,455.76855,455.81012,456.35239,457.31552,457.37933,457.46689,458.09818,458.38678,458.53168,458.61191,459.07056,459.25800,
     418             :       459.52841,459.66837,459.79990,459.87900,459.93613,459.96918,459.98718,461.87595,463.01144,463.32639,464.28793,465.41611,465.62198,465.75122,465.88190,466.78979,466.88785,469.42245,
     419             :       471.19046,471.55963,471.89441,472.03772,472.13968,472.52078,472.70630,472.85135,475.19659,475.86591,476.62155,477.46619,478.82608,479.73309,481.16629,481.23663,482.50317,483.99429,
     420             :       484.20007,484.22736,484.27087,485.20999,488.72867,488.77545,489.81982,490.73245,491.88474,491.93472,494.55759,494.77975,495.84152,496.81067,498.97610,500.43149,500.65533,501.10776};
     421             : 
     422             : 
     423             : 
     424             :     static const double flin[594]={
     425             :       6.01,  9.11,  6.78,  2.85,  1.07, 1.87, 4.47,5.25,2.02,7.55,0.782, 4.28, 2.79, 0.91, 3.49,0.522E+00,0.621E+00,0.505E+01,0.698E+01,0.581E+01,0.183E+01,0.372E+01,0.621E+01,0.952E+00,
     426             :       0.332E+01,0.935E+00,0.658E+01,0.141E+01,0.543E+01,0.161E+01,0.385E+01,0.116E+01,0.735E+01,0.207E+01,0.167E+01,0.474E+00,0.720E+00,0.251E+01,0.408E+01,0.485E+01,0.468E+01,0.311E+01,
     427             :       0.236E+01,0.131E+01,0.717E+01,0.561E+01,0.640E+01,0.196E+01,0.144E+01,0.808E+00,0.638E+01,0.483E+01,0.239E+01,0.173E+01,0.714E+01,0.563E+01,0.310E+01,0.152E+01,0.388E+01,0.140E+01,
     428             :       0.246E+01,0.887E+00,0.359E+00,0.464E+01,0.420E+01,0.736E+01,0.541E+01,0.322E+01,0.415E+01,0.617E+01,0.325E+01,0.659E+01,0.580E+01,0.291E+01,0.554E+01,0.212E+01,0.694E+01,0.100E+01,
     429             :       0.405E+00,0.528E+00,0.579E+00,0.412E+01,0.301E+01,0.163E+01,0.367E+01,0.240E+01,0.169E+01,0.444E+01,0.520E+01,0.755E+01,0.193E+01,0.638E+01,0.505E+01,0.677E+01,0.597E+01,0.113E+01,
     430             :       0.276E+00,0.516E+01,0.673E+01,0.326E+01,0.269E+01,0.346E+01,0.600E+01,0.940E+00,0.201E+01,0.423E+01,0.437E+01,0.161E+00,0.499E+01,0.773E+01,0.201E+01,0.299E+01,0.670E+01,0.576E+01,
     431             :       0.310E+01,0.170E+01,0.755E+00,0.614E+01,0.248E+01,0.652E+01,0.242E+01,0.695E+01,0.729E+01,0.281E+01,0.324E+01,0.460E+01,0.369E+01,0.401E+01,0.479E+00,0.206E+01,0.711E+00,0.478E+01,
     432             :       0.149E+01,0.218E+00,0.555E+01,0.543E+01,0.450E+01,0.711E+01,0.990E+01,0.338E+01,0.779E+01,0.631E+01,0.449E+01,0.664E+01,0.226E+01,0.117E+02,0.569E+01,0.708E+01,0.303E+01,0.313E+01,
     433             :       0.541E+01,0.505E+00,0.380E+01,0.383E+01,0.130E+02,0.457E+01,0.635E+01,0.127E+01,0.227E+01,0.534E+01,0.204E+01,0.645E+01,0.610E+01,0.871E+00,0.250E+01,0.687E+01,0.281E+01,0.447E+01,
     434             :       0.144E+01,0.730E+01,0.358E+01,0.136E+02,0.303E+00,0.643E+01,0.372E+01,0.435E+01,0.641E+01,0.563E+01,0.105E+01,0.246E+01,0.443E+01,0.661E+00,0.512E+01,0.179E+00,0.408E+00,0.182E+01,
     435             :       0.589E+01,0.743E+01,0.666E+01,0.259E+01,0.330E+01,0.301E+01,0.430E+01,0.127E+00,0.337E+01,0.422E+01,0.458E+01,0.414E+01,0.136E+02,0.838E+00,0.397E+01,0.352E+01,0.491E+01,0.491E+01,
     436             :       0.400E+01,0.160E+01,0.670E+01,0.568E+01,0.575E+01,0.148E+01,0.596E+01,0.644E+01,0.238E+01,0.177E+02,0.154E+02,0.574E+01,0.667E+01,0.315E+01,0.194E+02,0.617E+01,0.843E+01,0.392E+01,
     437             :       0.130E+02,0.630E+00,0.455E+01,0.469E+01,0.763E+01,0.167E+01,0.139E+01,0.546E+01,0.204E+02,0.772E+01,0.623E+01,0.106E+02,0.216E+01,0.152E+00,0.132E+02,0.700E+01,0.293E+01,0.771E+01,
     438             :       0.359E+00,0.370E+01,0.433E+00,0.462E+01,0.594E+00,0.497E+01,0.861E+01,0.572E+01,0.447E+01,0.117E+01,0.689E+01,0.524E+01,0.207E+02,0.601E+01,0.194E+01,0.171E+01,0.605E+01,0.690E+01,
     439             :       0.678E+01,0.271E+01,0.599E+01,0.212E+01,0.253E+00,0.348E+01,0.105E+02,0.486E+01,0.544E+01,0.425E+01,0.527E+01,0.961E+00,0.554E+01,0.503E+01,0.963E+01,0.414E+01,0.537E+01,0.611E+01,
     440             :       0.172E+01,0.580E+01,0.289E+01,0.127E+02,0.161E+01,0.699E+01,0.891E+00,0.226E+01,0.348E+01,0.657E+01,0.255E+02,0.249E+01,0.465E+01,0.233E+02,0.415E+01,0.578E+01,0.101E+00,0.134E+00,
     441             :       0.326E+01,0.521E+01,0.203E+02,0.271E+02,0.699E+01,0.404E+01,0.473E+01,0.687E+01,0.206E+02,0.757E+00,0.481E+01,0.267E+01,0.151E+01,0.548E+01,0.558E+01,0.788E+01,0.324E+00,0.635E+01,
     442             :       0.227E+01,0.180E+02,0.545E+00,0.277E+02,0.116E+02,0.187E+01,0.588E+01,0.304E+01,0.126E+02,0.878E+01,0.573E+01,0.382E+01,0.562E+00,0.779E+01,0.459E+01,0.129E+01,0.536E+01,0.123E+02,
     443             :       0.155E+02,0.613E+01,0.698E+01,0.206E+01,0.332E+01,0.954E+01,0.197E+02,0.561E+01,0.283E+01,0.360E+01,0.380E+00,0.276E+02,0.121E+00,0.437E+01,0.109E+01,0.134E+02,0.249E+01,0.514E+01,
     444             :       0.567E+01,0.137E+02,0.102E+02,0.591E+01,0.184E+01,0.730E+01,0.669E+01,0.313E+02,0.334E+02,0.147E+02,0.650E+01,0.261E+01,0.593E+01,0.409E+01,0.584E+01,0.338E+01,0.217E+00,0.297E+00,
     445             :       0.116E+02,0.285E+02,0.415E+01,0.346E+02,0.884E+00,0.570E+01,0.259E+01,0.492E+01,0.186E+01,0.107E+02,0.570E+01,0.163E+01,0.101E+02,0.976E+01,0.647E+01,0.120E+02,0.239E+01,0.270E+02,
     446             :       0.256E+02,0.190E+02,0.846E-01,0.503E+01,0.316E+01,0.866E+01,0.157E+02,0.711E+01,0.393E+01,0.349E+02,0.690E+00,0.275E+01,0.736E+01,0.470E+01,0.611E+01,0.111E+00,0.548E+01,0.142E+01,
     447             :       0.489E+01,0.670E+01,0.793E+01,0.549E+01,0.366E+01,0.427E+01,0.303E+01,0.238E+01,0.916E+01,0.168E+01,0.916E+00,0.167E+02,0.625E+01,0.110E+02,0.104E+02,0.228E+02,0.217E+01,0.116E+02,
     448             :       0.583E+01,0.576E+01,0.294E+01,0.618E+01,0.127E+02,0.371E+01,0.506E+00,0.290E+01,0.448E+01,0.277E+00,0.526E+01,0.121E+01,0.138E+02,0.603E+01,0.345E+02,0.196E+01,0.178E+02,0.203E+02,
     449             :       0.261E+02,0.669E+01,0.272E+01,0.366E+02,0.118E+02,0.113E+02,0.119E+02,0.759E+01,0.763E+01,0.147E+02,0.349E+01,0.309E+01,0.185E+02,0.338E+00,0.426E+01,0.188E+02,0.698E+01,0.167E+01,
     450             :       0.101E+01,0.504E+01,0.664E+01,0.579E+01,0.581E+01,0.103E+00,0.335E+02,0.175E+01,0.182E+02,0.155E+02,0.583E+01,0.251E+01,0.924E+01,0.327E+01,0.190E+00,0.878E+01,0.323E+01,0.405E+01,
     451             :       0.114E+02,0.817E+00,0.482E+01,0.198E+02,0.164E+02,0.559E+01,0.154E+01,0.161E+02,0.636E+01,0.304E+02,0.260E+00,0.229E+01,0.344E+01,0.306E+01,0.725E-01,0.118E+02,0.253E+02,0.140E+02,
     452             :       0.208E+02,0.111E+02,0.148E+02,0.383E+01,0.581E+01,0.633E+00,0.460E+01,0.349E+01,0.537E+01,0.181E+02,0.134E+01,0.614E+01,0.166E+02,0.133E+02,0.960E-01,0.583E+01,0.208E+01,0.275E+02,
     453             :       0.116E+02,0.284E+01,0.119E+02,0.218E+02,0.361E+01,0.350E+01,0.106E+02,0.461E+00,0.797E+01,0.438E+01,0.138E+02,0.151E+02,0.357E+01,0.125E+02,0.131E+02,0.112E+02,0.164E+02,0.935E+01,
     454             :       0.379E+01,0.515E+01,0.997E+01,0.811E+01,0.114E+01,0.872E+01,0.593E+01,0.749E+01,0.689E+01,0.177E+02,0.628E+01,0.567E+01,0.505E+01,0.443E+01,0.380E+01,0.314E+01,0.246E+01,0.173E+01,
     455             :       0.932E+00,0.187E+01,0.139E+01,0.170E+02,0.188E+02,0.246E+00,0.583E+01,0.229E+02,0.263E+01,0.107E+02,0.251E+02,0.339E+01,0.117E+02,0.304E+00,0.162E+02,0.755E+01,0.758E+01,0.416E+01,
     456             :       0.199E+02,0.370E+01,0.493E+01,0.116E+02,0.944E+00,0.571E+01,0.584E+01,0.247E+02,0.166E+01,0.902E-01,0.152E+02,0.179E+02,0.208E+02,0.239E+02,0.415E+01,0.241E+01,0.230E+02,0.317E+01,
     457             :       0.172E+02,0.169E+00,0.394E+01,0.385E+01,0.471E+01,0.367E+01,0.759E+00,0.549E+01,0.216E+02,0.146E+01,0.584E+01,0.249E+02};
     458             : 
     459             :     static const double el[594]={
     460             :       839.1, 350.8,1069.2, 196.8, 733.2,  82.6, 462.2, 636.8, 119.0,1326.8,  82.2, 435.9, 180.1,  60.3, 293.7,   2.7, 107.4, 605.5,
     461             :       1109.9, 803.1, 93.0, 315.5, 875.1,  22.5, 272.8,  41.9,1028.4,1161.6, 668.1,  35.5, 337.7, 302.4,1281.6, 147.8,   7.8, 136.1,
     462             :       401.6, 163.0, 409.8, 575.0, 489.0, 232.9, 147.9, 662.1,1151.4, 767.9, 912.1, 180.5, 257.8,  27.1, 988.7, 516.7, 105.8, 217.2,
     463             :       1237.3, 700.4, 252.1, 70.2, 384.9,  61.0, 2.7, 805.8,  168.2, 545.3,   9.2, 1193.9, 733.7, 214.2, 384.9, 949.9, 272.8, 949.9,
     464             :       733.8, 232.9,  19.2, 132.6,1193.9,   0.0, 12.0,  15.6, 455.6,  360.8,  15.7, 594.7, 360.8,  51.0,1071.4, 516.8, 700.4,1237.3,
     465             :       119.0,  32.7, 545.4, 988.7, 912.1,  51.0, 203.6, 575.0,1151.4, 316.7, 214.3, 337.8, 767.9,  43.1, 531.1, 488.9, 435.9,   7.8,
     466             :       668.2,1281.6,   2.7, 132.5,  49.7, 875.1, 364.3, 105.8, 881.8, 803.1, 196.8,1109.9, 471.5,1028.4,1372.4, 415.9, 315.6,  27.1,
     467             :       252.1, 462.2, 513.0, 984.9,  35.5, 636.7, 94.0, 242.5, 839.1, 637.1, 409.8, 1069.2, 76.4,  70.2,  54.7,1069.3, 490.7,   70.1,
     468             :       180.1, 101.7,  36.7,1327.3, 294.3,   9.2, 605.5,  29.2, 436.3,  22.5, 130.6, 606.3, 839.2,  82.8,  12.0, 804.0, 164.5, 876.2,
     469             :       1029.7,  5.3, 902.3,1283.0, 273.9, 549.4, 7.7, 1110.8,  411.4, 163.1,  23.6,  42.0, 163.0, 576.7,  93.9, 702.9,  72.7,  15.7,
     470             :       19.2, 961.1, 769.9,  284.7, 573.8, 149.7, 990.9,1153.3,1239.6, 254.6,  27.1, 823.7, 612.0,  19.0, 387.5, 293.8,  93.0, 548.2,
     471             :       198.9,  63.5, 678.5, 749.1, 462.5, 736.7, 41.9, 135.9, 953.1,  953.0, 669.4,   3.4, 32.7, 1197.3, 236.1, 248.4, 207.7, 772.6,
     472             :       914.1, 364.4, 292.8, 121.1,  60.3, 520.4, 170.8,  55.2,  60.3, 704.4,1196.8,   5.3, 123.0, 916.2, 340.6,1241.2,1155.7, 137.5,
     473             :       218.7, 330.3, 238.1,1423.1, 342.3,  49.7, 638.0, 493.8,  47.9, 197.0,1043.8,  82.2, 108.1, 846.1, 673.1, 111.0,1033.8, 880.2,
     474             :       391.9,1115.2, 202.0,   7.7, 119.4,  82.6, 1377.9, 321.0, 151.5,  12.0, 41.4, 467.9, 82.2, 339.0,  60.9,  642.6, 107.4, 100.0,
     475             :       923.7, 845.2,  70.1,  43.1, 519.0, 736.9, 186.4,1075.6,  29.2, 280.6,  19.0, 992.8, 15.3,  23.6,  35.5, 1333.7, 518.7, 300.8,
     476             :       51.1, 459.0, 1180.1,  70.2,  35.9, 379.2, 443.1,1005.1, 446.5, 582.0,1118.4, 613.2, 1090.6,  93.0, 403.1, 89.8, 811.1,  22.5,
     477             :       171.7, 136.1,1036.9, 119.3, 705.5,1290.4, 281.4, 350.8,1129.9, 648.7,  93.9,  15.7, 185.4, 419.1, 107.4, 149.2, 234.8, 584.6,
     478             :       80.6, 149.3, 778.0,  157.8, 999.1, 326.4, 302.4,1248.1,1206.7, 263.0,  36.7, 182.6, 504.3, 168.1, 396.1, 557.0,  72.4, 718.7,
     479             :       431.5, 745.7, 145.0, 257.8,  12.6, 962.3, 388.1, 121.0, 219.5,1206.5, 245.6,1075.3, 1478.6, 808.5, 887.1, 136.1,808.4, 374.0,
     480             :       579.2,  54.7, 222.6, 530.3,  65.1, 776.3, 217.2, 733.4, 714.4, 969.1, 133.1, 203.6, 15.3, 926.3,  27.0, 259.9, 1166.1, 228.9,
     481             :       180.6, 182.6,1433.5, 375.5, 352.8, 792.0, 662.2, 565.5,  58.6,  76.4, 504.4, 147.9, 151.6, 276.1, 683.9,1054.6, 122.1,  19.0,
     482             :       119.0, 891.3,  94.0, 487.3,1126.4, 213.3, 72.7, 105.9,  132.6,  82.8,  55.2,  63.4, 47.8,  41.4,  162.9,  35.9,  31.3, 168.1,
     483             :       1389.3, 303.8, 197.0,594.7, 332.5, 234.7, 263.1, 242.4, 479.6, 101.7, 276.0, 654.5, 111.9,  23.6, 857.2, 850.6,1087.8, 198.6,
     484             :       320.9,1346.1,1143.4, 313.3, 185.3, 531.1, 868.6, 440.7, 455.7,1161.6, 427.9, 350.9, 219.6, 130.6,1161.5, 369.4, 626.0,  29.2,
     485             :       630.0, 102.7, 824.1, 203.6, 883.5,  42.0, 184.9,1050.1, 643.2, 284.6,1303.7, 546.4, 1071.4, 294.8, 471.5,421.4, 307.1, 432.6,
     486             :       163.0, 598.3,  94.4, 321.0,  35.5, 791.9, 401.6, 171.9,1013.2, 222.5, 415.9,1262.3, 277.3, 476.9,1539.1, 985.0, 928.3, 410.6,
     487             :       43.2, 571.7,  87.1,  483.7, 948.5, 260.0, 242.5, 198.9, 364.2, 760.5, 330.2, 160.0, 977.3,  27.6,1221.8, 697.7, 260.8,1493.9,
     488             :       535.8, 316.6, 608.8, 354.3, 389.4, 902.3, 455.6, 545.9, 272.8, 263.1, 730.2,  51.0, 232.9, 149.0, 497.0, 942.3, 339.0, 388.0,
     489             :       31.3, 293.7, 238.1,  252.2, 440.7, 196.8, 60.9,1182.1, 214.3,  164.5, 245.1, 180.1, 1449.7, 149.7,135.9, 497.0, 123.0, 111.1,
     490             :       99.9,  89.8,   80.6,  72.3,  65.0,  58.6, 53.1, 369.1,   60.4, 598.3, 556.9,1009.3, 379.3, 284.6, 521.0, 369.4, 823.8, 700.8,
     491             :       542.9, 138.9, 303.8, 710.7, 962.2, 908.2, 620.5,  35.9,1143.5, 513.0, 230.4,1406.5, 405.0,1031.6, 349.8, 674.6, 280.5, 768.8,
     492             :       687.6, 307.1,  82.6, 497.1, 749.1, 672.2, 664.0, 129.6, 875.1,  41.4,1105.8,  70.3, 216.6,1364.2, 758.2, 331.5, 431.6, 330.3};
     493             : 
     494             : 
     495             : 
     496             : 
     497             :     static const double brdSO2air[594] ={
     498             :       2.8352,2.9476,2.7848,3.0127,2.8352,3.0690,2.9239,2.8795,3.0512,2.7405,3.0630,2.9269,3.0216,3.0778,2.9713,3.1577,3.0453,2.8825,2.7848,2.8381,
     499             :       3.0601,2.9683,2.8292,3.1222,2.9802,3.0956,2.7937,2.7552,2.8736,3.1104,2.9624,2.9654,2.7493,3.0334,3.1459,3.0275,2.9239,3.0246,2.9358,2.8914,
     500             :       2.9180,2.9979,3.0334,2.8618,2.7760,2.8470,2.8204,3.0157,2.9802,3.1133,2.8026,2.9091,3.0571,2.9979,2.7582,2.8647,2.9890,3.0778,2.9447,3.0867,
     501             :       3.1577,2.8204,3.0098,2.9003,3.1400,2.7671,2.8559,3.0068,2.9447,2.8115,2.9802,2.8115,2.8559,2.9979,3.1222,3.0423,2.7671,3.1755,3.1400,3.1311,
     502             :       2.9062,2.9535,3.1311,2.8766,2.9535,3.0956,2.7730,2.9091,2.8647,2.7582,3.0512,3.1074,2.9003,2.8026,2.8204,3.0956,2.9950,2.8914,2.7760,2.9624,
     503             :       3.0068,2.9624,2.8470,3.1015,2.8943,2.9180,2.9269,3.1459,2.8736,2.7493,3.1577,3.1577,3.0897,2.8292,2.9447,3.0571,2.8026,2.8381,3.0127,2.7848,
     504             :       2.9121,2.7937,2.7405,2.9299,2.9683,3.1133,2.9890,2.9239,2.8884,2.7908,3.1104,2.8795,3.0660,2.9772,2.8352,2.8736,2.9358,2.7848,3.0690,3.0778,
     505             :       3.0867,2.7908,2.9091,3.0719,3.0216,3.0542,3.1045,2.7493,2.9772,3.1400,2.8825,3.1193,2.9328,3.1222,3.0364,2.8884,2.8292,3.0749,3.1400,2.8440,
     506             :       3.0305,2.8204,2.7996,3.1548,2.8085,2.7552,2.9861,2.8943,3.1459,2.7760,2.9417,3.0186,3.1281,3.0956,3.0246,2.8973,3.0542,2.8559,3.0837,3.1311,
     507             :       3.1222,2.7848,2.8529,2.9595,2.8736,3.0394,2.8085,2.7671,2.7641,2.9950,3.1133,2.8233,2.8766,3.1370,2.9506,2.9713,3.0601,2.9062,3.0009,3.0926,
     508             :       2.8588,2.8411,2.9180,2.8618,3.0956,3.0482,2.8056,2.8174,2.8647,3.1637,3.1074,2.7730,3.0038,2.9831,3.0009,2.8411,2.8115,2.9595,2.9654,3.0394,
     509             :       3.0778,2.9151,3.0186,3.1015,3.0778,2.8618,2.7612,3.1548,3.0571,2.8263,2.9506,2.7523,2.7819,3.0334,3.0127,2.9417,2.9861,2.7375,2.9683,3.0897,
     510             :       2.8559,2.9239,3.1104,3.0068,2.7671,3.0630,3.0512,2.8233,2.8795,3.0660,2.7878,2.8352,2.9328,2.7908,3.0216,3.1459,3.0423,3.0690,2.7464,2.9772,
     511             :       3.0216,3.1400,3.1193,2.9328,3.0630,2.9535,2.6457,2.8884,3.0453,3.0749,2.8056,2.8440,3.0719,3.1015,2.9003,2.8500,3.0305,2.7996,3.1193,3.1193,
     512             :       3.1370,2.6457,3.1459,3.1281,3.1015,2.7552,2.8973,2.9861,3.0956,2.9121,2.7552,3.0778,3.1281,2.9239,2.9417,2.7878,2.9151,2.8795,2.7700,2.8973,
     513             :       2.7730,3.0601,2.9299,3.0837,2.8529,3.1222,3.0394,3.0275,2.8085,3.0423,2.8381,2.7641,2.9950,2.9476,2.7523,2.8618,3.0542,3.1311,3.0038,2.9506,
     514             :       3.0453,3.0246,2.9890,2.9062,3.0897,3.0246,2.8618,3.0453,2.8174,2.9506,2.9654,2.7730,2.7523,3.0009,3.1045,3.0098,2.8973,3.0098,2.9565,2.9121,
     515             :       3.0985,2.8440,2.9091,2.8677,3.0542,2.9802,3.1548,2.8233,2.9387,3.0394,2.9920,2.7789,3.0098,2.7789,2.7345,2.8263,2.8085,3.0275,2.8322,2.9654,
     516             :       2.8855,3.0867,2.9861,2.9210,3.1074,2.8204,2.9979,2.8440,2.8766,2.7908,3.0630,2.9950,3.1459,2.8322,3.1133,2.9742,2.7878,2.6457,3.0157,3.0098,
     517             :       2.7434,2.9328,2.9742,2.8292,2.8618,2.8795,2.6457,3.0690,2.9299,3.0334,3.0216,2.9742,2.8855,2.7760,3.0719,3.1370,3.0512,2.8411,3.0660,2.8914,
     518             :       2.7967,3.0275,3.0837,3.0571,2.8322,3.0749,3.1015,3.0926,3.1104,3.1193,3.0246,3.1281,3.1341,3.0098,2.9180,2.9565,3.0068,2.8766,2.9831,2.9890,
     519             :       2.9683,2.9772,2.9387,3.0542,2.9742,2.8943,3.0808,3.1281,2.8500,2.8056,2.8056,3.0364,2.9565,2.7612,2.7582,2.9920,3.0038,2.8943,2.8115,2.9210,
     520             :       2.9476,2.7552,2.9180,2.9417,2.9920,2.8322,2.7612,2.9387,2.9032,3.1193,2.8647,3.0897,2.8588,2.9950,2.9950,3.0956,3.0453,2.8144,2.8677,2.9595,
     521             :       2.7700,2.8736,2.7730,3.0009,2.9121,2.9210,2.9535,2.9565,3.0186,2.9121,3.0985,2.9565,3.1104,2.8677,2.9239,3.0542,2.8233,2.9861,2.9299,2.7789,
     522             :       3.0098,2.9062,2.7345,2.7908,2.7878,2.9654,3.1015,2.9210,3.1074,2.9003,2.7937,2.9742,2.9772,2.9772,2.9447,2.8766,2.9417,3.0630,2.8322,3.1429,
     523             :       2.7878,2.8470,3.0186,2.7434,2.8884,2.9624,2.8559,2.9358,2.9742,2.8085,2.9062,2.9299,2.9802,2.9683,2.8855,3.0956,2.9979,3.0690,2.9032,2.8411,
     524             :       2.9535,2.9387,3.1341,2.9713,2.9861,2.9890,2.9210,3.0127,2.6724,2.7967,3.0068,3.0305,3.0246,3.0216,2.7523,3.0394,3.0482,2.9032,3.0571,3.0660,
     525             :       3.0749,3.0837,3.0897,3.0985,3.1074,3.1163,3.1252,2.9802,3.0778,2.8707,2.8855,2.7700,2.9239,2.9595,2.9387,2.9387,2.8233,2.8943,2.8825,3.0778,
     526             :       2.9565,2.8500,2.7967,2.8500,2.8677,3.1281,2.8056,2.8884,3.0334,2.7612,2.9180,2.7760,2.9890,2.8411,2.9683,2.8292,2.8529,2.9535,3.0690,2.9447,
     527             :       2.8411,2.9003,2.8292,3.0867,2.8559,3.1193,2.8115,3.0778,3.0423,2.7671,2.8352,2.9979,2.9091,2.9417};
     528             : 
     529             : 
     530             :     static const double pi=3.141592654;
     531             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
     532             :     static const double mu=1.62;  //Debyes
     533             :     static const double mmol=64.0644;
     534             : 
     535             :     //double q=1.1346738633*pow(tt,1.5);
     536    10668574 :     double q=1.1346738633*tt*sqrt(tt);
     537             :     //    unsigned int vp;
     538             :     unsigned int ini;
     539             :     unsigned int ifin;
     540    10668574 :     std::complex<double>  lshape;
     541    10668574 :     std::complex<double>  lshapeacum;
     542             : 
     543    10668574 :     if(nu>999.9){
     544             : 
     545           0 :       return std::complex<double> (0.0,0.0);
     546             : 
     547             :     }else{
     548             : 
     549             :       // vp = vpIndex(nu);
     550             : 
     551             :       //      if(pp<100){
     552             :       //        ini=ini3[vp];
     553             :       //        ifin=ifin3[vp];
     554             :       //      }else{
     555             :       //        if(pp<300){
     556             :       //          ini=ini2[vp];
     557             :       //          ifin=ifin2[vp];
     558             :       //        }else{
     559             :       //          ini=ini1[vp];
     560             :       //          ifin=ifin1[vp];
     561             :       //        }
     562             :       //      }
     563             : 
     564             : 
     565    10668574 :       ini=0;
     566    10668574 :       ifin=592;
     567             : 
     568    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
     569    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
     570             : 
     571    10668574 :       if(ifin==0||ifin<ini){
     572             : 
     573    10668574 :         return std::complex<double> (0.0,0.0);
     574             : 
     575             :       }else{
     576             : 
     577           0 :         for(unsigned int i=ini; i<ifin+1; i++){
     578             : 
     579           0 :           lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,brdSO2air[i]*0.001,0.75),0.0);   // broadenind en GHz/mb 14/11/2018
     580             :           //lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,0.0025,0.76),0.0);   //2.5 MHz/mb
     581             : 
     582           0 :           lshape=lshape*flin[i]*exp(-el[i]/tt)*fre[i];
     583             : 
     584           0 :           lshapeacum=lshapeacum+lshape;
     585             : 
     586             :         }
     587             : 
     588           0 :         lshapeacum=lshapeacum*(nu/pi)*(0.047992745509/tt)*(picube8div3hcesu*pow(mu,2)/q);  // imaginary part: absorption coefficient in cm^2
     589             :                                                                                                           // real part: delay in rad*cm^2
     590             : 
     591           0 :         return lshapeacum*1e-4;    // to give it in SI units (m^2)    // (  rad m^2 , m^2 )
     592             : 
     593             : 
     594             :       }
     595             : 
     596             :     }
     597             : 
     598             :   }
     599             : 
     600             : 
     601             : 
     602             :   //////////////////////// Opacity Source Number: 7 //////////////////////////////
     603             : 
     604    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_no2(double tt, double pp, double nu){
     605             : 
     606             : 
     607             :     static const double fre[248]={
     608             :        15.30343, 16.02118, 26.60164, 29.46970, 39.16471, 40.81380, 53.08387, 58.66464, 70.22883, 83.41473, 90.50039, 93.44682,
     609             :        98.02563,103.79987,105.96584,106.13308,109.94896,110.49490,118.00321,119.06157,123.85385,123.88433,124.75224,130.01474,
     610             :       131.81161,145.83722,148.69461,149.07330,156.21632,161.19983,161.31075,165.29567,167.25842,169.63437,176.21133,188.19188,
     611             :       196.22234,199.62996,212.99927,214.31096,215.25284,228.22141,229.50119,230.12486,230.68661,234.59933,239.83878,240.01106,
     612             :       243.42845,246.99138,252.13086,255.62711,266.02109,270.10626,274.98672,275.22241,275.31757,278.29013,281.63333,290.49454,
     613             :       292.56226,299.81137,301.00867,308.97278,309.75595,324.83261,327.65967,331.81830,335.25684,335.80057,346.19440,346.53149,
     614             :       348.50708,348.75742,350.20975,369.26804,370.28265,372.39059,385.44745,388.96729,394.65579,394.79709,394.81833,395.89322,
     615             :       398.66660,408.62247,414.78375,426.32617,427.66861,439.50418,441.44064,443.84738,445.02673,452.38419,456.72156,459.44934,
     616             :       461.23657,465.71219,469.01208,483.12143,493.26385,494.02573,500.12354,508.49557,508.62653,513.17657,513.37378,517.56873,
     617             :       521.46198,525.59619,531.37561,542.97479,554.37964,556.44196,559.30530,563.68805,567.03601,571.43597,571.51337,572.08887,
     618             :       572.97400,574.88635,575.85791,576.26593,578.26855,580.07306,581.16528,585.37109,587.43103,587.79901,592.91760,594.80762,
     619             :       598.19824,603.02985,604.96832,606.72717,607.56641,607.90997,611.38959,611.82776,614.10382,617.72015,620.93292,630.08392,
     620             :       638.66748,639.03223,643.03845,647.32861,647.54645,653.97833,655.41650,657.89435,659.23828,660.82092,662.45618,668.50519,
     621             :       670.87683,673.43024,677.12579,679.51447,682.66016,685.83246,686.47723,690.41980,693.29193,696.42761,698.62994,703.38617,
     622             :       703.86249,706.66449,712.73193,713.20947,723.04419,723.30933,725.17651,730.60724,731.52454,734.80737,743.64032,748.02948,
     623             :       753.11591,755.44745,756.17896,758.04236,762.71759,763.59540,765.16272,775.16144,778.87732,781.71918,783.92804,794.05292,
     624             :       796.51251,801.90253,803.10101,803.36237,803.65295,805.04199,807.55530,815.62439,816.75818,816.81555,826.56580,832.24298,
     625             :       836.21124,837.80072,840.26038,844.50592,850.47626,853.28424,856.09827,858.26794,868.06360,874.88586,876.00659,877.64093,
     626             :       878.81915,881.78546,882.73639,893.21283,894.98120,895.92072,903.61682,906.75049,906.98358,917.71210,919.13794,928.48956,
     627             :       932.21454,933.14526,933.19623,939.99255,945.46600,950.26135,954.05829,957.05078,957.72675,960.94727,970.03180,979.19727,
     628             :       979.78198,982.70105,983.62170,988.78534,990.12921,995.58112,995.95210,996.92308};
     629             : 
     630             : 
     631             :     static const double el[248]={
     632             :       43.7,  1044.5, 378.6,1526.2, 322.1, 64.8,1143.7,1409.2,  25.5, 947.8,1297.0,438.0,90.0, 269.3, 851.0, 942.7, 763.9, 1039.3,
     633             :       681.6,1140.5,1246.8,  12.2,1189.5, 604.1,1246.4, 531.2,1357.1, 856.0,119.9,1086.8,502.3, 463.1, 221.4,1472.5,   3.6, 399.8,
     634             :       1354.8, 988.9, 769.2, 341.2, 154.6,  3.6,178.3, 571.4,  12.1,  25.5, 895.8,  43.7,287.4,  66.7,   0.0,  94.6, 127.3,1467.6,
     635             :       194.1, 687.3, 238.4, 164.9, 807.5, 140.2,207.3, 645.2,   3.7, 254.5, 194.1, 723.9,306.4,1527.6, 238.3, 610.3,1585.2, 154.6,
     636             :       12.2, 363.2, 106.9, 645.2,  723.9, 424.6,119.9,1412.0,  25.5,1467.6, 538.2, 287.4,490.9,  78.6, 571.3,  89.9, 561.9,  43.7,
     637             :       807.4,1354.8,1301.2, 471.0, 341.2, 637.5,502.3,  55.2,  64.8,  66.8,1246.8, 718.0,1195.5, 438.0, 408.8, 895.8, 44.5, 399.8,
     638             :       36.8,  94.7, 803.1,1143.6, 1094.5, 378.6,28.9, 351.4, 127.4, 893.0,  828.7, 920.3,741.7,1017.0,  23.3, 659.6, 463.1,1118.4,
     639             :       582.4, 988.9, 510.0,1224.5,1045.3, 442.5,1335.5, 379.9, 324.0,  18.1,164.9, 998.4,1451.3, 322.1, 987.5, 299.1,269.3, 221.4,
     640             :       531.1, 178.3, 951.8, 207.3, 140.1, 274.2,106.9,1086.8,1086.8, 907.3,  78.6,  55.2,251.6,  36.8,  23.2,  14.6,  18.1,  28.9,
     641             :       254.5,  44.5, 863.2,  64.8, 604.1, 229.3,89.9,1190.6, 119.9, 821.0,  154.6, 209.0,306.4,1189.4,  12.1, 194.1, 779.4, 238.4,
     642             :       189.3,  14.6,1299.2, 681.6, 287.4, 363.2,739.5, 171.2, 341.2,1661.2,  18.1, 700.5,399.8, 424.6, 154.1,1296.9,  23.2,1601.9,
     643             :       1412.4, 463.1, 662.9,763.9, 138.4,1543.6,531.2,  28.9, 490.9, 626.4,  36.8, 123.7,1486.5, 604.0, 591.2,851.0,1409.2, 110.4,
     644             :       561.8, 681.6,1430.6,  44.4, 557.1,  55.2,98.2, 763.9,1376.1,  637.6, 524.4,  87.3,942.8, 851.0,1322.6,  78.6, 492.7,  64.8,
     645             :       77.6, 718.0,1270.4,  942.8, 462.4,  69.1,1480.6,106.9,1219.5,1039.2,1039.3,1364.2,433.2, 803.2};
     646             : 
     647             :     static const double flin[248]={
     648             :       0.362E+01,0.842E+01,0.604E+01,0.791E+01,0.536E+01,0.473E+01,0.891E+01,0.788E+01,0.255E+01,0.793E+01,0.780E+01,0.675E+01,
     649             :       0.588E+01,0.471E+01,0.321E+01,0.302E+01,0.337E+01,0.283E+01,0.351E+01,0.263E+01,0.943E+01,0.152E+01,0.767E+01,0.362E+01,
     650             :       0.244E+01,0.368E+01,0.225E+01,0.746E+01,0.709E+01,0.750E+01,0.751E+01,0.370E+01,0.410E+01,0.207E+01,0.502E+00,0.366E+01,
     651             :       0.997E+01,0.728E+01,0.700E+01,0.357E+01,0.837E+01,0.250E+01,0.350E+01,0.831E+01,0.447E+01,0.640E+01,0.702E+01,0.827E+01,
     652             :       0.343E+01,0.101E+02,0.100E+01,0.118E+02,0.133E+02,0.105E+02,0.971E+01,0.654E+01,0.322E+01,0.148E+02,0.673E+01,0.294E+01,
     653             :       0.161E+02,0.915E+01,0.200E+01,0.173E+02,0.296E+01,0.640E+01,0.183E+02,0.968E+01,0.111E+02,0.608E+01,0.975E+01,0.265E+01,
     654             :       0.301E+01,0.191E+02,0.239E+01,0.605E+01,0.101E+02,0.197E+02,0.230E+01,0.926E+01,0.405E+01,0.937E+01,0.562E+01,0.126E+02,
     655             :       0.202E+02,0.185E+01,0.567E+01,0.191E+01,0.205E+02,0.511E+01,0.110E+02,0.898E+01,0.884E+01,0.516E+01,0.142E+02,0.207E+02,
     656             :       0.527E+01,0.134E+01,0.149E+01,0.621E+01,0.858E+01,0.208E+02,0.841E+01,0.485E+01,0.470E+01,0.120E+02,0.104E+01,0.159E+02,
     657             :       0.845E+00,0.735E+01,0.208E+02,0.816E+01,0.798E+01,0.441E+01,0.593E+00,0.423E+01,0.855E+01,0.207E+02,0.284E+02,0.305E+02,
     658             :       0.263E+02,0.324E+02,0.378E+00,0.242E+02,0.176E+02,0.343E+02,0.221E+02,0.131E+02,0.200E+02,0.359E+02,0.774E+01,0.180E+02,
     659             :       0.375E+02,0.161E+02,0.397E+01,0.166E+00,0.981E+01,0.754E+01,0.388E+02,0.143E+02,0.205E+02,0.376E+01,0.126E+02,0.110E+02,
     660             :       0.194E+02,0.946E+01,0.730E+01,0.111E+02,0.805E+01,0.351E+01,0.673E+01,0.143E+02,0.203E+02,0.709E+01,0.549E+01,0.431E+01,
     661             :       0.329E+01,0.317E+01,0.205E+01,0.837E+00,0.146E+01,0.255E+01,0.125E+02,0.358E+01,0.686E+01,0.457E+01,0.212E+02,0.304E+01,
     662             :       0.553E+01,0.201E+02,0.646E+01,0.664E+01,0.735E+01,0.282E+01,0.140E+02,0.155E+02,0.150E+01,0.821E+01,0.641E+01,0.904E+01,
     663             :       0.257E+01,0.167E+01,0.198E+02,0.232E+02,0.983E+01,0.156E+02,0.619E+01,0.234E+01,0.106E+02,0.972E+01,0.186E+01,0.595E+01,
     664             :       0.113E+02,0.172E+02,0.210E+01,0.169E+02,0.210E+01,0.950E+01,0.196E+02,0.119E+02,0.573E+01,0.251E+02,0.187E+01,0.928E+01,
     665             :       0.126E+02,0.228E+01,0.189E+02,0.549E+01,0.258E+01,0.163E+01,0.906E+01,0.132E+02,0.526E+01,0.271E+02,0.183E+02,0.140E+01,
     666             :       0.207E+02,0.137E+02,0.883E+01,0.271E+01,0.503E+01,0.308E+01,0.117E+01,0.142E+02,0.861E+01,0.225E+02,0.479E+01,0.937E+00,
     667             :       0.291E+02,0.146E+02,0.838E+01,0.360E+01,0.456E+01,0.311E+01,0.714E+00,0.244E+02,0.815E+01,0.151E+02,0.432E+01,0.500E+00,
     668             :       0.304E+02,0.413E+01,0.792E+01,0.312E+02,0.154E+02,0.284E+02,0.409E+01,0.264E+02};
     669             : 
     670             :     static const double texpNO2[248] ={
     671             :       0.76,0.70,0.74,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.72,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,
     672             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.73,0.76,0.76,0.76,0.76,0.76,0.76,0.76,
     673             :       0.76,0.76,0.76,0.76,0.76,0.76,0.73,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.73,0.73,0.76,0.76,0.76,0.76,0.76,0.73,0.69,
     674             :       0.75,0.75,0.76,0.76,0.76,0.76,0.76,0.76,0.74,0.76,0.71,0.72,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.72,0.76,
     675             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.72,0.76,0.74,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.70,0.76,0.76,
     676             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.73,0.76,0.76,0.76,0.76,0.76,0.76,0.73,0.76,
     677             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.72,0.76,0.76,0.76,0.73,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.74,
     678             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.73,0.76,
     679             :       0.76,0.76,0.76,0.76,0.69,0.76,0.76,0.76,0.72,0.71,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.69,0.76,0.76,0.76,0.76,0.76,
     680             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.74,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,
     681             :       0.76,0.70,0.76,0.76,0.76,0.76,0.76,0.76};
     682             : 
     683             :     static const double brdNO2air[248] ={
     684             :       2.3000,1.9769,2.3912,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.0450,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,
     685             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,
     686             :       2.3000,2.3000,2.3000,2.3000,2.1989,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,
     687             :       2.1663,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.2048,2.1219,2.3000,2.3000,2.3000,2.3000,2.3000,2.2048,2.0095,
     688             :       2.5096,2.5096,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.4475,2.3000,2.0391,2.0983,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,
     689             :       2.3000,2.3000,2.3000,2.3000,2.0716,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.0450,
     690             :       2.3000,2.2877,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,1.9828,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,
     691             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.1959,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.1486,2.3000,
     692             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.1426,2.3000,2.3000,2.3000,2.1604,2.3000,2.3000,2.3000,2.3000,
     693             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3409,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,
     694             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.1663,2.3000,2.3000,2.3000,2.3000,2.3000,1.9651,2.3000,
     695             :       2.3000,2.3000,2.0479,1.9532,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.0006,2.3000,2.3000,2.3000,2.3000,2.3000,
     696             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.4356,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,
     697             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,1.9947,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000};
     698             : 
     699             : 
     700             : 
     701             :     static const double pi=3.141592654;
     702             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
     703             :     static const double mu=0.3161;  //Debyes
     704             :     static const double mmol=46.0;
     705             : 
     706             :     //double q=0.430965924*pow(tt,1.5);
     707    10668574 :     double q=0.430965924*tt*sqrt(tt);
     708             :     //    unsigned int vp;
     709             :     unsigned int ini;
     710             :     unsigned int ifin;
     711    10668574 :     std::complex<double>  lshape;
     712    10668574 :     std::complex<double>  lshapeacum;
     713             : 
     714    10668574 :     if(nu>999.9){
     715             : 
     716           0 :       return std::complex<double> (0.0,0.0);
     717             : 
     718             :     }else{
     719             : 
     720             :       // vp = vpIndex(nu);
     721             : 
     722             :       //      if(pp<100){
     723             :       //        ini=ini3[vp];
     724             :       //        ifin=ifin3[vp];
     725             :       //      }else{
     726             :       //        if(pp<300){
     727             :       //          ini=ini2[vp];
     728             :       //          ifin=ifin2[vp];
     729             :       //        }else{
     730             :       //          ini=ini1[vp];
     731             :       //          ifin=ifin1[vp];
     732             :       //        }
     733             :       //      }
     734             : 
     735             : 
     736    10668574 :       ini=0;
     737    10668574 :       ifin=246;
     738             : 
     739    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
     740    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
     741             : 
     742    10668574 :       if(ifin==0||ifin<ini){
     743             : 
     744    10668574 :         return std::complex<double> (0.0,0.0);
     745             : 
     746             :       }else{
     747             : 
     748           0 :         for(unsigned int i=ini; i<ifin+1; i++){
     749             : 
     750           0 :           lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,brdNO2air[i]*0.001,texpNO2[i]),0.0);   // broadenind en GHz/mb 14/11/2018
     751             :           //lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,0.0025,0.76),0.0);
     752             : 
     753           0 :           lshape=lshape*flin[i]*exp(-el[i]/tt)*fre[i];
     754             : 
     755           0 :           lshapeacum=lshapeacum+lshape;
     756             : 
     757             :         }
     758             : 
     759           0 :         lshapeacum=lshapeacum*(nu/pi)*(0.047992745509/tt)*(picube8div3hcesu*pow(mu,2)/q);  // imaginary part: absorption coefficient in cm^2
     760             :                                                                                                           // real part: delay in rad*cm^2
     761             : 
     762           0 :         return lshapeacum*1e-4;    // to give it in SI units (  rad m^2 , m^2 )
     763             : 
     764             : 
     765             :       }
     766             : 
     767             :     }
     768             : 
     769             :   }
     770             : 
     771             :   //////////////////////// Opacity Source Number: 6 //////////////////////////////
     772             : 
     773    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_n2o(double tt, double pp, double nu){
     774             : 
     775             :     // tt in K, pp in mb, nu in GHz
     776             : 
     777             :     static const double fre[39]={
     778             :       25.123248, 50.246371, 75.369242,100.491727,125.613711,150.735063,175.855641,200.975344,226.094031,251.211578,
     779             :       276.327844,301.442750,326.556094,351.667813,376.777750,401.885813,426.991813,452.095656,477.197250,502.296438,
     780             :       527.393063,552.487063,577.578250,602.666500,627.751750,652.833813,677.912563,702.987938,728.059750,753.127875,
     781             :       778.192188,803.252625,828.309000,853.361188,878.409063,903.452500,928.491375,953.525563,978.554938};
     782             : 
     783             :     static const double el[39]={
     784             :       0.0,   1.2,   3.6,   7.3,  12.1, 18.1,  25.4,  33.7,  43.4,  54.3, 66.3,  79.6,  94.0, 109.7, 126.6,
     785             :       144.7, 164.0, 184.5, 206.2, 229.1, 253.2, 278.5, 305.0, 332.7, 361.7, 391.8, 423.1, 455.7, 489.4, 524.3,
     786             :       560.5, 597.8, 636.4, 676.1, 717.1, 759.3, 802.6, 847.2, 893.0};
     787             : 
     788             :     static const double flin[39]={
     789             :       0.100E+01,0.200E+01,0.300E+01,0.400E+01,0.500E+01, 0.600E+01,0.700E+01,0.800E+01,0.900E+01,0.100E+02,
     790             :       0.110E+02,0.120E+02,0.130E+02,0.140E+02,0.150E+02, 0.160E+02,0.170E+02,0.180E+02,0.190E+02,0.200E+02,
     791             :       0.210E+02,0.220E+02,0.230E+02,0.240E+02,0.250E+02, 0.260E+02,0.270E+02,0.280E+02,0.290E+02,0.300E+02,
     792             :       0.310E+02,0.320E+02,0.330E+02,0.340E+02,0.350E+02, 0.360E+02,0.370E+02,0.380E+02,0.390E+02};
     793             : 
     794             :     static const double texpN2O[39] ={
     795             :       0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,
     796             :       0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.75};
     797             : 
     798             :     static const double brdN2Oair[39] ={
     799             :       2.9180,2.7552,2.7109,2.6665,2.6250,2.5866,2.5481,2.5126,2.4800,2.4475,2.4179,2.3883,2.3616,2.3380,2.3143,2.2906,2.2699,2.2521,2.2314,2.2166,
     800             :       2.1989,2.1841,2.1722,2.1604,2.1486,2.1367,2.1278,2.1190,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.0627};
     801             : 
     802             : 
     803             : 
     804             :     static const unsigned int ifin1[500]={
     805             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   3,   3,   3,   3,   3,   3,   3,
     806             :        3,   3,   3,   3,   3,   3,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
     807             :        5,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   8,   8,   8,   8,
     808             :        8,   8,   8,   8,   8,   8,   8,   8,   9,   9,  9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  9,  10,  10,  10,  10,  10,  10,  10,  10,  10,
     809             :       10,  10,  10,  10,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  13,
     810             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  15,  15,  15,  15,  15,  15,
     811             :       15,  15,  15,  15,  15,  15,  16,  16,  16,  16, 16,  16,  16,  16,  16,  16,  16,  16,  16,  17, 17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
     812             :       17,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  19,  19,  19,  19,  19,  19, 19,  19,  19,  19,  19,  19,  19,  20,  20,  20,
     813             :       20,  20,  20,  20,  20,  20,  20,  20,  20,  21, 21,  21,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  22,  22,  22,  22,  22,  22,  22,  22,
     814             :       22,  22,  22,  22,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  24,  24,  24, 24,  24,  24,  24,  24,  24,  24,  24,  24,  25,
     815             :       25,  25,  25,  25,  25,  25,  25,  25,  25,  25, 25,  25,  26,  26,  26,  26,  26,  26,  26,  26, 26,  26,  26,  26,  27,  27,  27,  27,  27,  27,
     816             :       27,  27,  27,  27,  27,  27,  27,  28,  28,  28, 28,  28,  28,  28,  28,  28,  28,  28,  28,  29, 29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
     817             :       29,  29,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  31,  31,  31,  31,  31, 31,  31,  31,  31,  31,  31,  31,  32,  32,  32,
     818             :       32,  32,  32,  32,  32,  32,  32,  32,  32,  32, 33,  33,  33,  33,  33,  33,  33,  33,  33,  33, 33,  33,  34,  34,  34,  34,  34,  34,  34,  34,
     819             :       34,  34,  34,  34,  34,  35,  35,  35,  35,  35, 35,  35,  35,  35,  35,  35,  35,  36,  36,  36, 36,  36,  36,  36,  36,  36,  36,  36,  36,  36,
     820             :       37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  38,  38,  38,  38,  38,  38,  38,  38, 38,  38,  38,  38,  38,  39,  39,  39,  39,  39,
     821             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,   0,   0,   0,   0,   0,   0,   0,   0,   0};
     822             : 
     823             :     static const unsigned int ini1[500]={
     824             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   3,   3,   3,
     825             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   5,   5,   5,   5,   5,   5,   5,   5,
     826             :        5,   5,   5,   5,   5,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
     827             :        8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   9,   9,   9,   9,   9,   9,   9,   9,  9,   9,   9,   9,   9,  10,  10,  10,  10,  10,
     828             :       10,  10,  10,  10,  10,  10,  10,  10,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
     829             :       12,  12,  12,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  15,  15,
     830             :       15,  15,  15,  15,  15,  15,  15,  15,  15,  15, 16,  16,  16,  16,  16,  16,  16,  16,  16,  16, 16,  16,  16,  17,  17,  17,  17,  17,  17,  17,
     831             :       17,  17,  17,  17,  17,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  19,  19, 19,  19,  19,  19,  19,  19,  19,  19,  19,  19,
     832             :       19,  20,  20,  20,  20,  20,  20,  20,  20,  20, 20,  20,  20,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  21,  21,  22,  22,  22,  22,
     833             :       22,  22,  22,  22,  22,  22,  22,  22,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  24,  24,  24,  24,  24,  24,  24,  24,  24,
     834             :       24,  24,  24,  25,  25,  25,  25,  25,  25,  25, 25,  25,  25,  25,  25,  25,  26,  26,  26,  26, 26,  26,  26,  26,  26,  26,  26,  26,  27,  27,
     835             :       27,  27,  27,  27,  27,  27,  27,  27,  27,  27, 27,  28,  28,  28,  28,  28,  28,  28,  28,  28, 28,  28,  28,  29,  29,  29,  29,  29,  29,  29,
     836             :       29,  29,  29,  29,  29,  29,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  31, 31,  31,  31,  31,  31,  31,  31,  31,  31,  31,
     837             :       31,  32,  32,  32,  32,  32,  32,  32,  32,  32, 32,  32,  32,  32,  33,  33,  33,  33,  33,  33, 33,  33,  33,  33,  33,  33,  34,  34,  34,  34,
     838             :       34,  34,  34,  34,  34,  34,  34,  34,  34,  35, 35,  35,  35,  35,  35,  35,  35,  35,  35,  35, 35,  36,  36,  36,  36,  36,  36,  36,  36,  36,
     839             :       36,  36,  36,  36,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  38,  38,  38,  38, 38,  38,  38,  38,  38,  38,  38,  38,  38,  39,
     840             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,   0,   0,   0,   0,   0,   0,   0,   0,   0};
     841             : 
     842             :     static const unsigned int ifin2[500]={
     843             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   3,   3,   3,   3,   3,   3,
     844             :        3,   3,   3,   3,   3,   3,   3,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
     845             :        5,   5,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   8,   8,   8,
     846             :        8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  9,   9,  10,  10,  10,  10,  10,  10,  10,  10,
     847             :       10,  10,  10,  10,  10,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
     848             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  15,  15,  15,  15,  15,
     849             :       15,  15,  15,  15,  15,  15,  15,  15,  16,  16, 16,  16,  16,  16,  16,  16,  16,  16,  16,  16, 17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
     850             :       17,  17,  17,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  19,  19,  19,  19,  19, 19,  19,  19,  19,  19,  19,  19,  19,  20,  20,
     851             :       20,  20,  20,  20,  20,  20,  20,  20,  20,  20, 21,  21,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  22,  22,  22,  22,  22,  22,  22,
     852             :       22,  22,  22,  22,  22,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  24,  24, 24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
     853             :       24,  25,  25,  25,  25,  25,  25,  25,  25,  25, 25,  25,  25,  26,  26,  26,  26,  26,  26,  26, 26,  26,  26,  26,  26,  26,  27,  27,  27,  27,
     854             :       27,  27,  27,  27,  27,  27,  27,  27,  28,  28, 28,  28,  28,  28,  28,  28,  28,  28,  28,  28, 28,  29,  29,  29,  29,  29,  29,  29,  29,  29,
     855             :       29,  29,  29,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  31,  31,  31,  31, 31,  31,  31,  31,  31,  31,  31,  31,  32,  32,
     856             :       32,  32,  32,  32,  32,  32,  32,  32,  32,  32, 32,  33,  33,  33,  33,  33,  33,  33,  33,  33, 33,  33,  33,  34,  34,  34,  34,  34,  34,  34,
     857             :       34,  34,  34,  34,  34,  34,  35,  35,  35,  35, 35,  35,  35,  35,  35,  35,  35,  35,  36,  36, 36,  36,  36,  36,  36,  36,  36,  36,  36,  36,
     858             :       36,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  38,  38,  38,  38,  38,  38,  38, 38,  38,  38,  38,  38,  38,  39,  39,  39,  39,
     859             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0};
     860             : 
     861             :     static const unsigned int ini2[500]={
     862             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   3,   3,   3,   3,
     863             :        3,   3,   3,   3,   3,   3,   3,   3,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   5,   5,   5,   5,   5,   5,   5,   5,   5,
     864             :        5,   5,   5,   5,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   8,
     865             :        8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   9,   9,   9,   9,   9,   9,   9,   9,   9,  9,   9,   9,   9,  10,  10,  10,  10,  10,  10,
     866             :       10,  10,  10,  10,  10,  10,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
     867             :       12,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  15,  15,  15,
     868             :       15,  15,  15,  15,  15,  15,  15,  15,  15,  16, 16,  16,  16,  16,  16,  16,  16,  16,  16,  16, 16,  16,  17,  17,  17,  17,  17,  17,  17,  17,
     869             :       17,  17,  17,  17,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  19,  19,  19, 19,  19,  19,  19,  19,  19,  19,  19,  19,  20,
     870             :       20,  20,  20,  20,  20,  20,  20,  20,  20,  20, 20,  20,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  22,  22,  22,  22,  22,  22,
     871             :       22,  22,  22,  22,  22,  22,  22,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
     872             :       24,  24,  25,  25,  25,  25,  25,  25,  25,  25, 25,  25,  25,  25,  25,  26,  26,  26,  26,  26, 26,  26,  26,  26,  26,  26,  26,  27,  27,  27,
     873             :       27,  27,  27,  27,  27,  27,  27,  27,  27,  27, 28,  28,  28,  28,  28,  28,  28,  28,  28,  28, 28,  28,  29,  29,  29,  29,  29,  29,  29,  29,
     874             :       29,  29,  29,  29,  29,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  31,  31,  31, 31,  31,  31,  31,  31,  31,  31,  31,  31,  31,
     875             :       32,  32,  32,  32,  32,  32,  32,  32,  32,  32, 32,  32,  33,  33,  33,  33,  33,  33,  33,  33, 33,  33,  33,  33,  33,  34,  34,  34,  34,  34,
     876             :       34,  34,  34,  34,  34,  34,  34,  35,  35,  35, 35,  35,  35,  35,  35,  35,  35,  35,  35,  35, 36,  36,  36,  36,  36,  36,  36,  36,  36,  36,
     877             :       36,  36,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  38,  38,  38,  38,  38, 38,  38,  38,  38,  38,  38,  38,  38,  39,  39,
     878             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0};
     879             : 
     880             :     static const unsigned int ifin3[500]={
     881             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   3,   3,   3,
     882             :        3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
     883             :        5,   5,   5,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   8,   8,
     884             :        8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  10,  10,  10,  10,  10,  10,  10,
     885             :       10,  10,  10,  10,  10,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
     886             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  15,  15,  15,  15,
     887             :       15,  15,  15,  15,  15,  15,  15,  15,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  17,  17,  17,  17,  17,  17,  17,  17,  17,
     888             :       17,  17,  17,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  20,  20,
     889             :       20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  22,  22,  22,  22,  22,  22,  22,
     890             :       22,  22,  22,  22,  22,  22,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
     891             :       24,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  27,  27,  27,  27,
     892             :       27,  27,  27,  27,  27,  27,  27,  27,  27,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  29,  29,  29,  29,  29,  29,  29,  29,  29,
     893             :       29,  29,  29,  29,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  32,
     894             :       32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  34,  34,  34,  34,  34,  34,
     895             :       34,  34,  34,  34,  34,  34,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,
     896             :       36,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  39,  39,  39,
     897             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0};
     898             : 
     899             :     static const unsigned int ini3[500]={
     900             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   3,   3,   3,
     901             :        3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
     902             :        5,   5,   5,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   6,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   8,   8,
     903             :        8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   8,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  10,  10,  10,  10,  10,  10,  10,
     904             :       10,  10,  10,  10,  10,  10,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
     905             :       12,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  15,  15,  15,  15,
     906             :       15,  15,  15,  15,  15,  15,  15,  15,  15,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  17,  17,  17,  17,  17,  17,  17,  17,  17,
     907             :       17,  17,  17,  17,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  20,
     908             :       20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  20,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  22,  22,  22,  22,  22,  22,
     909             :       22,  22,  22,  22,  22,  22,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  23,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
     910             :       24,  24,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  25,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  27,  27,  27,
     911             :       27,  27,  27,  27,  27,  27,  27,  27,  27,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  29,  29,  29,  29,  29,  29,  29,  29,
     912             :       29,  29,  29,  29,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  30,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  31,  32,
     913             :       32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  32,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  33,  34,  34,  34,  34,  34,  34,
     914             :       34,  34,  34,  34,  34,  34,  34,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  35,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,  36,
     915             :       36,  36,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  37,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  39,  39,  39,
     916             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0};
     917             : 
     918             : 
     919             :     static const double pi=3.141592654;
     920             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
     921             :     static const double mu=0.161;  //Debyes
     922             :     static const double mmol=44.0;
     923             : 
     924    10668574 :     double q=1.65873970*tt;
     925             :     unsigned int vp;
     926             :     unsigned int ini;
     927             :     unsigned int ifin;
     928    10668574 :     std::complex<double>  lshape;
     929    10668574 :     std::complex<double>  lshapeacum;
     930             : 
     931    10668574 :     if(nu>999.9){
     932             : 
     933           0 :       return std::complex<double> (0.0,0.0);
     934             : 
     935             :     }else{
     936             : 
     937    10668574 :       vp = vpIndex(nu);
     938    10668574 :       if(pp<25){ ini=ini3[vp]; ifin=ifin3[vp]; }else{ if(pp<300){ ini=ini2[vp]; ifin=ifin2[vp]; }else{ ini=ini1[vp]; ifin=ifin1[vp]; } }
     939             : 
     940    10668574 :       if(ini>4){ini=ini-3;}else{ini=1;}        // NEW PATCH 02 SEP 2016
     941    10668574 :       if(ifin<37){ifin=ifin+3;}else{ifin=39;}  // NEW PATCH 02 SEP 2016
     942             : 
     943    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
     944    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
     945             : 
     946    10668574 :       if(ifin==0||ifin<ini){
     947             : 
     948           0 :         return std::complex<double> (0.0,0.0);
     949             : 
     950             :       }else{
     951             : 
     952    74132587 :         for(unsigned int i=ini; i<ifin+1; i++){
     953             : 
     954    63464013 :           lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,brdN2Oair[i]*0.001,texpN2O[i]),0.0);   // broadening en GHz/mb 14/11/2018
     955             :           // lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,0.0025,0.76),0.0);
     956             : 
     957    63464013 :           lshape=lshape*flin[i]*exp(-el[i]/tt)*fre[i];
     958             : 
     959    63464013 :           lshapeacum=lshapeacum+lshape;
     960             : 
     961             :         }
     962             : 
     963    10668574 :         lshapeacum=lshapeacum*(nu/pi)*(0.047992745509/tt)*(picube8div3hcesu*pow(mu,2)/q);  // imaginary part: absorption coefficient in cm^2
     964             :                                                                                                           // real part: delay in rad*cm^2
     965             : 
     966    10668574 :         return lshapeacum*1e-4;    // to give it in SI units (  rad m^2 , m^2 )
     967             : 
     968             : 
     969             :       }
     970             : 
     971             :     }
     972             : 
     973             :   }
     974             : 
     975             :   //////////////////////// Opacity Source Number: 5 //////////////////////////////
     976             : 
     977    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_co(double tt, double pp, double nu){
     978             : 
     979             :     static const double fre[8] = {115.271203,230.538000,345.796000,461.04075,576.267938,691.47300,806.651688,921.799563};
     980             :     static const double flin[8] = {0.100E+01,0.200E+01,0.300E+01,0.400E+01,0.500E+01,0.600E+01,0.700E+01,0.800E+01};
     981             :     static const double el[8] = {0.0, 5.5,  16.6,  33.2,  55.3,83.0, 116.2, 154.9};
     982             : 
     983             : 
     984             :     static const double texpCO[8] ={
     985             :       0.76,0.75,0.74,0.74,0.74,0.74,0.75,0.75};
     986             : 
     987             :     static const double brdCOair[8] ={
     988             :       2.3587,2.2137,2.0983,2.0006,1.9236,1.8615,1.8112,1.7727};
     989             : 
     990             :     static const unsigned int ifin1[500] ={
     991             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
     992             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   2,   2,   2,   2,
     993             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
     994             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   3,   3,   3,   3,   3,   3,   3,
     995             :       3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
     996             :       3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   4,   4,   4,   4,   4,   4,   4,   4,   4,
     997             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
     998             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
     999             :       5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    1000             :       5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,
    1001             :       6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,
    1002             :       6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    1003             :       7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    1004             :       7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    1005             :       8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    1006             :       8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   0,   0,   0,   0,   0,   0,   0,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    1007             :       0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0};
    1008             : 
    1009             :     static const unsigned int ini1[500]={
    1010             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1011             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1012             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    1013             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   3,   3,   3,
    1014             :       3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    1015             :       3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   4,   4,   4,   4,   4,
    1016             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    1017             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   5,   5,   5,   5,   5,   5,   5,
    1018             :       5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    1019             :       5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,
    1020             :       6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,
    1021             :       6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    1022             :       7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    1023             :       7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    1024             :       8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    1025             :       8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   0,   0,   0,   0,   0,   0,   0,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    1026             :       0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0};
    1027             : 
    1028             : 
    1029             :     static const unsigned int ifin2[500]={
    1030             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1031             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   2,   2,   2,
    1032             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    1033             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   3,   3,   3,   3,   3,
    1034             :       3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    1035             :       3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   4,   4,   4,   4,   4,   4,   4,   4,
    1036             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    1037             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    1038             :       5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    1039             :       5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,
    1040             :       6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,
    1041             :       6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    1042             :       7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    1043             :       7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    1044             :       8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    1045             :       8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   0,   0,   0,   0,   0,   0,   0,   0,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    1046             :       0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0};
    1047             : 
    1048             :     static const unsigned int ini2[500]={
    1049             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1050             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   2,   2,
    1051             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    1052             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   3,   3,   3,   3,
    1053             :       3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    1054             :       3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   4,   4,   4,   4,   4,   4,
    1055             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    1056             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    1057             :       5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    1058             :       5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,
    1059             :       6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,
    1060             :       6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    1061             :       7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    1062             :       7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    1063             :       8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    1064             :       8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   0,   0,   0,   0,   0,   0,   0,   0,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    1065             :       0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0};
    1066             : 
    1067             :     static const unsigned int ifin3[500]={
    1068             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1069             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   2,   2,   2,
    1070             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    1071             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   3,   3,   3,   3,   3,
    1072             :       3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    1073             :       3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   4,   4,   4,   4,   4,   4,   4,
    1074             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    1075             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    1076             :       5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    1077             :       5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,
    1078             :       6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,
    1079             :       6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    1080             :       7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    1081             :       7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    1082             :       8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    1083             :       8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   0,   0,   0,   0,   0,   0,   0,   0,   0,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    1084             :       0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0};
    1085             : 
    1086             :     static const unsigned int ini3[500]={
    1087             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1088             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   2,   2,
    1089             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    1090             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   3,   3,   3,   3,
    1091             :       3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    1092             :       3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   4,   4,   4,   4,   4,   4,   4,
    1093             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    1094             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    1095             :       5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    1096             :       5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,
    1097             :       6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,
    1098             :       6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    1099             :       7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    1100             :       7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    1101             :       8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    1102             :       8,   8,   8,   8,   8,   8,   8,   8,   8,   8,  8,   0,   0,   0,   0,   0,   0,   0,   0,   0,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    1103             :       0,   0,   0,   0,   0,   0,   0,   0,   0,   0,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0};
    1104             : 
    1105             : 
    1106             :     static const double pi=3.141592654;
    1107             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
    1108             :     static const double mu=0.112;  //Debyes
    1109             :     static const double mmol=28.0;
    1110             : 
    1111    10668574 :     double q=0.3615187262*tt;
    1112             :     unsigned int vp;
    1113             :     unsigned int ini;
    1114             :     unsigned int ifin;
    1115    10668574 :     std::complex<double>  lshape;
    1116    10668574 :     std::complex<double>  lshapeacum;
    1117             : 
    1118    10668574 :     if(nu>999.9){
    1119             : 
    1120           0 :       return std::complex<double> (0.0,0.0);
    1121             : 
    1122             :     }else{
    1123             : 
    1124    10668574 :       vp = vpIndex(nu);
    1125             : 
    1126    10668574 :       if(pp<25){
    1127     1843321 :         ini=ini3[vp];
    1128     1843321 :         ifin=ifin3[vp];
    1129             :       }else{
    1130     8825253 :         if(pp<300){
    1131     3096038 :           ini=ini2[vp];
    1132     3096038 :           ifin=ifin2[vp];
    1133             :         }else{
    1134     5729215 :           ini=ini1[vp];
    1135     5729215 :           ifin=ifin1[vp];
    1136             :         }
    1137             :       }
    1138             : 
    1139    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
    1140    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
    1141             : 
    1142    10668574 :       if(ifin==0||ifin<ini){
    1143             : 
    1144     5747288 :         return std::complex<double> (0.0,0.0);
    1145             : 
    1146             :       }else{
    1147             : 
    1148    10942736 :         for(unsigned int i=ini; i<ifin+1; i++){
    1149             : 
    1150     6021450 :           lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,brdCOair[i]*0.001,texpCO[i]),0.0);   // broadening en GHz/mb 14/11/2018
    1151             :           //lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,0.0025,0.76),0.0);
    1152             : 
    1153     6021450 :           lshape=lshape*flin[i]*exp(-el[i]/tt)*fre[i];
    1154             : 
    1155     6021450 :           lshapeacum=lshapeacum+lshape;
    1156             : 
    1157             :         }
    1158             : 
    1159     4921286 :         lshapeacum=lshapeacum*(nu/pi)*(0.047992745509/tt)*(picube8div3hcesu*pow(mu,2)/q);  // imaginary part: absorption coefficient in cm^2
    1160             :                                                                                                           // real part: delay in rad*cm^2
    1161             : 
    1162     4921286 :         return lshapeacum*1e-4;    // to give it in SI units (  rad m^2 , m^2 )
    1163             : 
    1164             : 
    1165             :       }
    1166             : 
    1167             :     }
    1168             : 
    1169             :   }
    1170             : 
    1171             :   //////////////////////// Opacity Source Number: 9 //////////////////////////////
    1172             : 
    1173    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_cnth2o(double tt, double pp, double eh2o, double nu){
    1174             : 
    1175             :     //     cnth2o, empirical
    1176             : 
    1177             : 
    1178    10668574 :     double t300=300/tt;
    1179    10668574 :     double eee=eh2o/1013.0;
    1180    10668574 :     double ppp=(pp-eh2o)/1013.0;
    1181             : 
    1182             :     double cnth2o;
    1183             : 
    1184    10668574 :     if(nu<900){
    1185    10668574 :       cnth2o=0.0315*pow(nu/225,2)*(eee*ppp)*pow(t300,3);
    1186             :     }else{
    1187           0 :       cnth2o=0.0315*pow(nu/225,1.8)*(eee*ppp)*pow(t300,3)-
    1188           0 :         0.0315*pow((double)(900/225),1.8)*(eee*ppp)*pow(t300,3)+
    1189           0 :         0.0315*pow((double)(900/225),2)*(eee*ppp)*pow(t300,3);
    1190             :     }
    1191             : 
    1192    10668574 :     double delayh2o=(4.163*t300+0.239)*eh2o*t300*nu*1.2008e-3/57.29578;   // VERSIÓN INSTALADA ANTES DE 16/12/2015 // AÑADIR REFERENCIA
    1193             : 
    1194             :     // double delayh2o=eh2o*pow(t300,2.5)*.791e-6*pow(nu,2)*nu*1.2008e-3/57.29578; //VERSION DE PRUEBA 16/12/2015
    1195             : 
    1196    10668574 :     return std::complex<double> (delayh2o,cnth2o);       // (  rad m^-1 , m^-1 )
    1197             : 
    1198             :   }
    1199             : 
    1200             : 
    1201             :   //////////////////////// Opacity Source Number: 10 /////////////////////////////
    1202             : 
    1203    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_cntdry(double tt, double pp, double eh2o, double nu){
    1204             : 
    1205             :     //     cntdry, empirical
    1206             : 
    1207             : 
    1208    10668574 :     double t300=300/tt;
    1209    10668574 :     double ppp=(pp-eh2o);
    1210    10668574 :     double gamma0=5.6E-04*pp*pow(t300,0.8);
    1211             : 
    1212             : 
    1213    10668574 :     double nsec1=6.14e-5*ppp*pow(t300,2)*nu*gamma0/(pow(nu,2)+pow(gamma0,2));
    1214             :     //double nsec2=1.4E-12*pow(ppp,2)*pow(t300,3.5)*nu;   //(1+1.9e-5*pow(nu,1.5));
    1215    10668574 :     double nsec2=1.4E-12*pow(ppp,2)*pow(t300,3.5)*nu;   //(1+1.9e-5*nu*sqrt(nu));
    1216             : 
    1217             : 
    1218    10668574 :     double cntair=(nsec1+0.85633*nsec2)*nu*0.1820/4.34e3;   // From fitting FTS data, JQSRT, Pardo et al. 2001
    1219             : 
    1220    10668574 :     double delaydry=(0.2588*ppp*t300
    1221    10668574 :                      -6.14e-5*ppp*pow(t300,2)*pow(nu,2)/(pow(nu,2)+pow(gamma0,2))
    1222    10668574 :                      )*nu*1.2008e-3/57.29578;
    1223             : 
    1224             : 
    1225             : //     double delaydry_deltap=(0.2588*(pp+1.0-eh2o)*t300
    1226             : //                          -6.14e-5*(pp+1.0-eh2o)*pow(t300,2)*pow(nu,2)/(pow(nu,2)+pow(gamma0,2))
    1227             : //                   )*nu*1.2008e-3/57.29578;
    1228             : 
    1229             : //     double delaydry_deltat=(0.2588*ppp*(300/(tt+1.0))
    1230             : //                   -6.14e-5*ppp*pow((300/(tt+1.0)),2)*pow(nu,2)/(pow(nu,2)+pow(gamma0,2))
    1231             : //                   )*nu*1.2008e-3/57.29578;
    1232             : 
    1233             : 
    1234             :     //    cout << "tt=" << tt << " K" << " ppp=" << ppp << " mb" << " delaydry=" << delaydry << "  " << delaydry_deltap/delaydry << "  " << delaydry_deltat/delaydry << endl;
    1235             : 
    1236             : 
    1237             : 
    1238    10668574 :     return std::complex<double> (delaydry,cntair);     // (  rad m^-1 , m^-1 )
    1239             : 
    1240             :   }
    1241             : 
    1242             : 
    1243             :   //////////////////////// Opacity Source Number: 12 /////////////////////////////
    1244             : 
    1245    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_hh16o_v2(double tt, double pp, double eh2o, double nu){
    1246             : 
    1247             :     static const double fre[335]={
    1248             :         67.790245,   96.738518,  120.066833,  209.379730,  232.941650, 272.749756,  273.308319,  294.911926,  298.692719,  336.318604,
    1249             :        424.615814,  429.827271,  432.365814,  439.689758,  462.861206, 498.342834,  546.492249,  577.889099,  593.817871,  594.784973,
    1250             :        657.968628,  774.061768,  859.918091,  899.371277,  902.622192, 902.633484,  923.067688,  925.892395,  968.111328, 1077.804199,
    1251             :       1132.792358, 1141.902466, 1148.058960, 1195.768677, 1205.750488,1214.630005, 1214.944824, 1222.725098, 1406.612549, 1421.820068,
    1252             :       1428.340332, 1473.516479, 1494.088989, 1591.912231, 1637.113037,1644.029663, 1647.032227, 1699.797241, 1739.387451, 1740.511841,
    1253             :       1753.855347, 1835.131104, 1849.346802, 1862.525635, 1864.789307,1894.290527, 1933.400635, 1946.366089, 1956.037354, 1991.469849,
    1254             :       2086.665283, 2091.183838, 2106.667236, 2140.248047, 2218.246338,2227.581299, 2233.940186, 2247.307861, 2294.118164, 2337.540771,
    1255             :       2372.200684, 2401.381836, 2484.194580, 2488.897461, 2501.917480,2503.204346, 2541.946533, 2561.416992, 2585.798584, 2590.757080,
    1256             :       2646.906982, 2689.032715, 2742.224365, 2783.789062, 2808.305664,2820.776855, 2842.404785, 2852.419434, 2902.184814, 2973.164551,
    1257             :       2998.129883, 3024.840576, 3036.465576, 3037.561279, 3051.924316,3065.634766, 3112.744141, 3132.590088, 3142.544922, 3159.035889,
    1258             :       3161.792969, 3216.594727, 3253.378174, 3275.678467, 3310.530273,3328.204102, 3348.107178, 3396.036621, 3425.261475, 3474.651367,
    1259             :       3495.020508, 3553.504395, 3566.186523, 3601.603516, 3624.354004,3631.654297, 3638.812988, 3639.941162, 3656.975342, 3661.215088,
    1260             :       3708.865479, 3719.691895, 3741.291260, 3756.302002, 3781.373779,3797.620850, 3805.620850, 3870.276611, 3883.985840, 3907.251221,
    1261             :       4007.915527, 4032.301270, 4048.079346, 4065.159668, 4120.685547,4133.917969, 4176.322754, 4196.534668, 4253.582520, 4265.271973,
    1262             :       4265.930664, 4272.971680, 4450.476074, 4450.689453, 4457.209961,4520.783691, 4522.206543, 4550.888672, 4557.868164, 4574.724121,
    1263             :       4583.926270, 4608.368164, 4625.347656, 4630.292480, 4631.189941,4632.965332, 4645.110352, 4655.048828, 4673.143555, 4681.702148,
    1264             :       4688.050781, 4707.438477, 4715.640625, 4721.811035, 4758.667480,4809.098145, 4890.160645, 4915.819824, 4919.379883, 4956.141602,
    1265             :       4991.813965, 5045.965820, 5085.471680, 5106.055664, 5151.291992,5164.418457, 5197.080566, 5234.995605, 5243.801758, 5264.706055,
    1266             :       5270.681152, 5326.873535, 5343.042969, 5347.410645, 5348.099121,5364.738770, 5370.276367, 5397.082520, 5427.933105, 5430.001465,
    1267             :       5430.668945, 5435.439941, 5439.126465, 5441.707031, 5441.996582,5442.362305, 5452.062012, 5483.936523, 5498.748047, 5550.827148,
    1268             :       5558.973633, 5560.731934, 5602.951660, 5643.037598, 5760.064453,5777.882324, 5781.895508, 5783.031738, 5783.865723, 5822.762207,
    1269             :       5937.895508, 5973.528809, 5974.892090, 6002.918457, 6046.645996,6101.024414, 6129.086914, 6140.286621, 6140.372559, 6159.938965,
    1270             :       6160.485352, 6166.656738, 6173.993652, 6176.440918, 6178.348145,6179.314941, 6186.974609, 6192.049805, 6193.727051, 6318.125977,
    1271             :       6319.972656, 6328.667969, 6372.734863, 6486.106445, 6490.986816,6505.577148, 6527.715820, 6592.956543, 6611.653809, 6655.116699,
    1272             :       6660.624023, 6669.819336, 6691.077637, 6764.869629, 6783.576172,6783.586914, 6814.936523, 6815.015137, 6845.112305, 6845.504395,
    1273             :       6856.315918, 6857.177734, 6857.993652, 6872.185059, 6873.719238,6936.190918, 6966.458496, 6993.731445, 7001.683594, 7122.857910,
    1274             :       7240.887207, 7250.316406, 7260.501465, 7269.827148, 7312.422852,7352.959961, 7363.332031, 7368.429199, 7392.671875, 7393.081055,
    1275             :       7406.447266, 7432.064941, 7432.066406, 7472.024414, 7472.035645,7485.548828, 7514.537598, 7530.646973, 7624.821289, 7747.829102,
    1276             :       7884.774902, 7889.549805, 7927.257324, 7927.455078, 7929.243652,7941.633789, 8027.130859, 8031.218262, 8041.744141, 8177.214844,
    1277             :       8181.974609, 8289.856445, 8290.503906, 8323.575195, 8455.500977,8460.076172, 8460.172852, 8526.576172, 8529.013672, 8538.893555,
    1278             :       8564.284180, 8571.694336, 8601.731445, 8645.142578, 8759.967773,8991.116211, 8991.165039, 9006.700195, 9023.595703, 9029.281250,
    1279             :       9041.551758, 9048.492188, 9098.749023, 9102.541016, 9111.836914,9167.686523, 9168.944336, 9233.576172, 9262.232422, 9262.603516,
    1280             :       9369.607422, 9520.371094, 9520.396484, 9589.912109, 9631.456055,9633.417969, 9663.334961, 9729.836914, 9739.676758, 9748.269531,
    1281             :       9766.947266, 9828.917969, 9828.990234, 9890.300781, 9945.291992};
    1282             : 
    1283             :     static const double flin[335]={
    1284             :       .1440E+00,  .1170E+00,  .1090E+00,  .1000E+00,  .1000E+00, .7910E-01,  .7910E-01,  .8790E-01,  .8790E-01,  .7650E-01,
    1285             :       .2300E+00,  .2110E+00,  .2110E+00,  .2310E+00,  .1560E+00, .2550E+00,  .2760E+00,  .2570E+00,  .1860E+00,  .2820E+00,
    1286             :       .1500E+01,  .9220E-01,  .2120E+01,  .7260E+00,  .2820E+00, .4930E-01,  .3540E+00,  .3000E+00,  .2640E+00,  .3390E+00,
    1287             :       .3800E+00,  .3800E+00,  .4080E+00,  .4090E+00,  .1000E+01, .2310E+01,  .4390E+00,  .4500E+00,  .2450E+01,  .3600E+01,
    1288             :       .4500E+00,  .4100E+00,  .1210E+01,  .4340E+01,  .7090E-01, .1670E+01,  .3370E-01,  .3300E+00,  .2210E+01,  .5750E+00,
    1289             :       .1500E+01,  .5740E+00,  .7680E+00,  .5750E+00,  .6050E+00, .6260E+00,  .5300E+00,  .4540E+01,  .8330E+00,  .6120E+00,
    1290             :       .4460E+00,  .6150E+00,  .5820E+01,  .4570E+01,  .5590E+00, .1310E+01,  .2140E+01,  .6610E+01,  .3240E+01,  .2740E+01,
    1291             :       .6700E+00,  .2070E+01,  .4380E+01,  .2070E+01,  .2500E-01, .7890E+00,  .7830E+00,  .8080E+00,  .6820E+01,  .1610E+01,
    1292             :       .1060E+01,  .2960E+01,  .7990E+01,  .1490E+01,  .1020E+01, .6660E+01,  .8860E+01,  .8320E+00,  .1830E+01,  .3820E+01,
    1293             :       .8920E+00,  .5240E+01,  .8300E+00,  .1780E+01,  .1500E+01, .2480E+01,  .6620E+01,  .2000E+01,  .9130E+01,  .3910E+01,
    1294             :       .4150E+01,  .9990E+00,  .1270E+01,  .3990E+01,  .2990E+01, .9050E+00,  .1010E+02,  .2010E-01,  .9270E+00,  .8660E+01,
    1295             :       .2950E+01,  .1880E+01,  .4880E+01,  .1670E+01,  .1330E+01, .8940E+01,  .2010E+01,  .3350E+01,  .4910E+01,  .2440E+01,
    1296             :       .1070E+01,  .7190E+01,  .1060E+01,  .1980E+01,  .6320E+01, .2810E+01,  .1070E+01,  .1980E+01,  .3570E+01,  .4010E+01,
    1297             :       .5880E+01,  .4220E+01,  .3590E+01,  .1960E+01,  .1930E+01, .5900E+01,  .5920E+01,  .1240E+01,  .4750E+01,  .9950E+00,
    1298             :       .4800E+01,  .1710E-01,  .3850E+01,  .3530E+01,  .2400E+01, .6100E+01,  .3740E+01,  .5150E+01,  .2950E+01,  .1250E+01,
    1299             :       .1980E+01,  .2050E+01,  .1080E+01,  .1080E+01,  .2040E+01, .2930E+01,  .3780E+01,  .3960E+01,  .2090E+01,  .4580E+01,
    1300             :       .6920E+01,  .6920E+01,  .7710E+01,  .1970E+01,  .5320E+01, .3020E+01,  .5970E+01,  .2410E+01,  .5430E+01,  .2380E+01,
    1301             :       .6610E+01,  .3840E+01,  .6520E+01,  .1510E-01,  .4640E+01, .3840E+01,  .5650E+01,  .7920E+01,  .7920E+01,  .5990E+01,
    1302             :       .2000E+01,  .4760E+01,  .1990E+01,  .6940E+01,  .5620E+01, .1820E+01,  .3960E+01,  .3880E+01,  .3000E+01,  .1100E+01,
    1303             :       .1100E+01,  .2080E+01,  .2080E+01,  .3870E+01,  .4720E+01, .3000E+01,  .5540E+01,  .6320E+01,  .6930E+00,  .7050E+01,
    1304             :       .4790E+01,  .2350E+01,  .3900E+01,  .3070E+01,  .2230E+01, .8920E+01,  .8920E+01,  .1680E+01,  .5720E+01,  .5740E+01,
    1305             :       .2020E+01,  .5960E+01,  .2010E+01,  .5790E+01,  .3980E+01, .2360E+01,  .5650E+01,  .1120E+01,  .1120E+01,  .2120E+01,
    1306             :       .2120E+01,  .4800E+01,  .3060E+01,  .3050E+01,  .3940E+01, .3950E+01,  .3940E+01,  .4800E+01,  .5630E+01,  .9920E+01,
    1307             :       .9920E+01,  .5830E+01,  .6760E+01,  .6800E+01,  .2610E+01, .4190E+01,  .2470E+01,  .2040E+01,  .2030E+01,  .3410E+01,
    1308             :       .3400E+01,  .1980E+01,  .4010E+01,  .3990E+01,  .1130E+01, .1130E+01,  .2160E+01,  .2160E+01,  .3110E+01,  .3110E+01,
    1309             :       .1090E+02,  .1090E+02,  .2720E+01,  .4010E+01,  .4010E+01, .7780E+01,  .4570E+00,  .7800E+01,  .2280E+01,  .3150E+01,
    1310             :       .2060E+01,  .2050E+01,  .5340E+01,  .1030E-01,  .4040E+01, .4030E+01,  .3780E+01,  .3310E+01,  .1190E+02,  .1190E+02,
    1311             :       .3300E+01,  .1150E+01,  .1150E+01,  .2200E+01,  .2200E+01, .8790E+01,  .8800E+01,  .3610E+01,  .4600E+01,  .1620E+01,
    1312             :       .2080E+01,  .2080E+01,  .1290E+02,  .1290E+02,  .6450E+01, .5560E+01,  .9780E+01,  .3230E+01,  .9790E+01,  .3170E+01,
    1313             :       .4200E-01,  .4410E+01,  .4410E+01,  .6570E+01,  .4750E+01, .1390E+02,  .1390E+02,  .2100E+01,  .2100E+01,  .7530E+01,
    1314             :       .1080E+02,  .1080E+02,  .3160E+01,  .3070E+00,  .7590E+01, .1490E+02,  .1490E+02,  .2970E+01,  .4300E+01,  .4300E+01,
    1315             :       .1220E+01,  .3130E+01,  .1180E+02,  .1180E+02,  .8570E+01, .2120E+01,  .2120E+01,  .8600E+01,  .8570E-01,  .5930E+01,
    1316             :       .3200E+01,  .1590E+02,  .1590E+02,  .3430E+01,  .1270E+02, .1270E+02,  .9590E+01,  .9610E+01,  .4210E+01,  .3840E+01,
    1317             :       .4210E+01,  .5410E+01,  .5410E+01,  .4470E+01,  .2650E+01};
    1318             : 
    1319             :     static const double el[335]={
    1320             :       323.147,  764.957,  208.238,  1157.451, 1156.320, 2167.610, 2167.583, 1625.146, 1624.965,  644.659,
    1321             :       1886.021, 2463.271, 2463.250, 1885.998,  449.986, 1378.683,  591.672, 1378.666, 1548.301,  945.555,
    1322             :       34.222,  2218.351,   101.030,   57.837,  212.281, 843.680,  770.899,   945.264, 1249.138,  989.773,
    1323             :       2780.334, 2780.397, 2167.602, 2167.612,     .033, 197.307, 1625.091,  1157.518,  255.693,  403.963,
    1324             :       1624.950,  590.082,  142.295,  584.400, 2578.130, 118.399, 1068.954,  2793.122,  320.422, 1406.368,
    1325             :       34.228, 3131.727,   315.145, 3131.712,  2484.004, 1907.088, 1156.311,  793.589,  118.424, 2483.924,
    1326             :       2387.155, 1693.538, 1147.995,  886.984, 2020.240, 208.292,  101.087,  1440.446,  660.799,  208.315,
    1327             :       1906.352,  469.151, 1028.777,  472.151, 1320.426, 2224.964,  765.005, 2835.171, 1760.800,  326.462,
    1328             :       323.168,  197.346,  2255.493,  450.798,  315.222, 1884.823, 2656.685, 2834.705,  450.816,  326.410,
    1329             :       2579.511, 1548.330, 1402.572,  472.119,   65.830, 617.872, 2106.111,   643.258, 3084.881,  320.489,
    1330             :       1288.757, 3221.127,   57.861, 1249.191,  815.219, 2971.670, 3711.515, 1597.715, 2222.712, 3235.642,
    1331             :       989.764,  644.658,   472.049,  142.349,  974.057, 3537.207,  770.863, 1041.509,  469.092,  617.888,
    1332             :       591.601, 2793.082,   590.045,  765.025, 2475.221, 974.142, 3219.758,   843.055, 1216.197, 1573.180,
    1333             :       2387.149, 1489.879, 1295.622,  255.702,  843.737, 644.602,  643.267,  1683.497, 1793.859,  118.498,
    1334             :       2020.266, 1901.028, 1693.509,  815.199,  403.986, 2867.835, 1576.867, 2126.690, 1406.355, 2573.547,
    1335             :       1068.705, 1157.532,  945.517,  945.280, 1156.336, 1402.551, 1683.468, 1882.692, 1216.223, 1998.012,
    1336             :       843.708,  843.077,  3872.183, 1068.987, 2345.118, 584.398, 2723.408,  214.076,  2487.305,  212.341,
    1337             :       3402.429, 1884.530, 3131.434, 2230.146, 1041.475, 793.645, 2971.678, 1068.958,  1068.736, 3284.532,
    1338             :       1320.245, 2579.549, 1320.373, 3567.763, 2874.730, 1998.031, 2217.466, 2224.979, 1907.099, 1378.699,
    1339             :       1378.667, 1625.138, 1624.961, 2222.738, 2573.524, 1906.406, 2958.141, 3375.511,  208.300, 3824.401,
    1340             :       1028.810,  323.225, 2218.399, 1489.875,  315.159, 1320.404, 1320.311, 2958.156, 1295.616, 3288.350,
    1341             :       1597.724, 3725.614, 1597.749, 1288.703, 2577.705, 472.195, 3642.048, 1886.011,  1886.007, 2167.668,
    1342             :       2167.641, 3221.045, 2484.093, 2483.976, 2835.184, 2578.138, 2834.770, 3219.826, 3638.646, 1597.776,
    1343             :       1597.687, 3727.670, 1576.855, 1573.214, 2345.180, 1793.880,  660.817, 1900.986, 1901.089,  450.203,
    1344             :       449.938,  450.797, 2963.377,  2963.635, 2463.337, 2463.337, 2780.332, 2780.329, 3131.684, 3131.665,
    1345             :       1901.047, 1901.005,  887.066, 3517.085, 3517.011, 1884.513,  326.461, 1882.751, 3375.470, 1148.055,
    1346             :       2230.090, 2230.137, 2126.749,  101.101, 3374.657, 3374.811, 1440.514,  591.669, 2230.105, 2230.086,
    1347             :       590.044, 3107.515, 3107.515,  3460.297, 3460.296, 2218.348, 2217.457, 2723.384, 1760.764,  617.860,
    1348             :       2584.988, 2584.959, 2584.949, 2584.939, 2487.354, 2106.159, 2578.156,  770.960, 2577.655,  765.053,
    1349             :       197.425,  769.647,  769.616,  2475.229, 3131.397, 2965.478, 2965.473, 2965.486, 2965.469, 2874.695,
    1350             :       2963.677, 2963.421,  989.779,  472.096, 2867.885, 3371.492, 3371.489,  974.144,  945.533,  945.360,
    1351             :       815.171, 1249.138, 3374.826,  3374.644, 3288.298, 3371.518, 3371.457, 3284.555,  320.480, 3567.762,
    1352             :       1548.327, 3803.091, 3803.090, 1884.854, 3811.560, 3811.566, 3727.730, 3725.638, 1157.466, 2255.554,
    1353             :       1156.357, 1167.583, 1167.580, 2656.737, 1216.198};
    1354             : 
    1355             :     static const double ensanche[335][4]={
    1356             :       {2.788,4.50,0.68,0.80},{2.001,4.50,0.68,0.80},{2.838,4.50,0.68,0.80},{1.808,4.50,0.68,0.80},{1.657,4.50,0.68,0.80},{1.172,4.50,0.68,0.80},
    1357             :       {1.166,4.50,0.68,0.80},{1.423,4.50,0.68,0.80},{1.382,4.50,0.68,0.80},{2.681,4.50,0.68,0.80},{1.418,4.50,0.68,0.80},{1.225,4.50,0.68,0.80},
    1358             :       {1.252,4.50,0.68,0.80},{1.527,4.50,0.68,0.80},{2.524,4.50,0.68,0.80},{1.716,4.50,0.68,0.80},{2.424,4.50,0.68,0.80},{1.986,4.50,0.68,0.80},
    1359             :       {2.368,4.50,0.68,0.80},{2.039,4.50,0.68,0.80},{3.096,4.50,0.68,0.80},{1.924,4.50,0.68,0.80},{2.933,4.50,0.68,0.80},{2.921,4.50,0.68,0.80},
    1360             :       {2.767,4.50,0.68,0.80},{2.518,4.50,0.68,0.80},{2.453,4.50,0.68,0.80},{2.397,4.50,0.68,0.80},{2.445,4.50,0.68,0.80},{2.442,4.50,0.68,0.80},
    1361             :       {1.278,4.50,0.68,0.80},{1.326,4.50,0.68,0.80},{1.489,4.50,0.68,0.80},{1.648,4.50,0.68,0.80},{2.811,4.50,0.68,0.80},{2.877,4.50,0.68,0.80},
    1362             :       {1.758,4.50,0.68,0.80},{2.072,4.50,0.68,0.80},{2.702,4.50,0.68,0.80},{2.732,4.50,0.68,0.80},{2.131,4.50,0.68,0.80},{2.619,4.50,0.68,0.80},
    1363             :       {2.794,4.50,0.68,0.80},{2.764,4.50,0.68,0.80},{1.702,4.50,0.68,0.80},{2.897,4.50,0.68,0.80},{2.273,4.50,0.68,0.80},{2.078,4.50,0.68,0.80},
    1364             :       {2.841,4.50,0.68,0.80},{2.107,4.50,0.68,0.80},{2.986,4.50,0.68,0.80},{1.281,4.50,0.68,0.80},{2.770,4.50,0.68,0.80},{1.344,4.50,0.68,0.80},
    1365             :       {1.471,4.50,0.68,0.80},{1.708,4.50,0.68,0.80},{2.501,4.50,0.68,0.80},{2.687,4.50,0.68,0.80},{2.773,4.50,0.68,0.80},{1.719,4.50,0.68,0.80},
    1366             :       {2.181,4.50,0.68,0.80},{2.137,4.50,0.68,0.80},{2.693,4.50,0.68,0.80},{2.690,4.50,0.68,0.80},{2.181,4.50,0.68,0.80},{2.714,4.50,0.68,0.80},
    1367             :       {2.942,4.50,0.68,0.80},{2.590,4.50,0.68,0.80},{2.664,4.50,0.68,0.80},{2.776,4.50,0.68,0.80},{2.237,4.50,0.68,0.80},{2.664,4.50,0.68,0.80},
    1368             :       {2.450,4.50,0.68,0.80},{2.590,4.50,0.68,0.80},{2.015,4.50,0.68,0.80},{1.669,4.50,0.68,0.80},{2.616,4.50,0.68,0.80},{1.388,4.50,0.68,0.80},
    1369             :       {2.359,4.50,0.68,0.80},{2.563,4.50,0.68,0.80},{2.498,4.50,0.68,0.80},{2.847,4.50,0.68,0.80},{2.450,4.50,0.68,0.80},{2.684,4.50,0.68,0.80},
    1370             :       {2.427,4.50,0.68,0.80},{2.524,4.50,0.68,0.80},{2.270,4.50,0.68,0.80},{1.826,4.50,0.68,0.80},{2.397,4.50,0.68,0.80},{2.477,4.50,0.68,0.80},
    1371             :       {1.666,4.50,0.68,0.80},{2.584,4.50,0.68,0.80},{2.492,4.50,0.68,0.80},{2.302,4.50,0.68,0.80},{2.894,4.50,0.68,0.80},{2.302,4.50,0.68,0.80},
    1372             :       {2.069,4.50,0.68,0.80},{2.314,4.50,0.68,0.80},{1.995,4.50,0.68,0.80},{2.595,4.50,0.68,0.80},{2.149,4.50,0.68,0.80},{1.264,4.50,0.68,0.80},
    1373             :       {2.779,4.50,0.68,0.80},{2.584,4.50,0.68,0.80},{2.149,4.50,0.68,0.80},{1.758,4.50,0.68,0.80},{2.101,4.50,0.68,0.80},{1.711,4.50,0.68,0.80},
    1374             :       {2.255,4.50,0.68,0.80},{2.172,4.50,0.68,0.80},{2.489,4.50,0.68,0.80},{1.989,4.50,0.68,0.80},{2.075,4.50,0.68,0.80},{2.838,4.50,0.68,0.80},
    1375             :       {2.486,4.50,0.68,0.80},{1.728,4.50,0.68,0.80},{2.320,4.50,0.68,0.80},{1.935,4.50,0.68,0.80},{2.163,4.50,0.68,0.80},{2.445,4.50,0.68,0.80},
    1376             :       {2.107,4.50,0.68,0.80},{2.270,4.50,0.68,0.80},{1.980,4.50,0.68,0.80},{2.051,4.50,0.68,0.80},{1.782,4.50,0.68,0.80},{2.039,4.50,0.68,0.80},
    1377             :       {1.885,4.50,0.68,0.80},{1.850,4.50,0.68,0.80},{1.971,4.50,0.68,0.80},{1.782,4.50,0.68,0.80},{2.332,4.50,0.68,0.80},{1.832,4.50,0.68,0.80},
    1378             :       {1.684,4.50,0.68,0.80},{2.797,4.50,0.68,0.80},{1.642,4.50,0.68,0.80},{1.645,4.50,0.68,0.80},{1.672,4.50,0.68,0.80},{2.350,4.50,0.68,0.80},
    1379             :       {1.622,4.50,0.68,0.80},{2.823,4.50,0.68,0.80},{2.288,4.50,0.68,0.80},{1.332,4.50,0.68,0.80},{2.184,4.50,0.68,0.80},{2.083,4.50,0.68,0.80},
    1380             :       {2.717,4.50,0.68,0.80},{1.438,4.50,0.68,0.80},{1.432,4.50,0.68,0.80},{1.400,4.50,0.68,0.80},{2.036,4.50,0.68,0.80},{2.163,4.50,0.68,0.80},
    1381             :       {1.367,4.50,0.68,0.80},{1.859,4.50,0.68,0.80},{1.663,4.50,0.68,0.80},{1.607,4.50,0.68,0.80},{1.708,4.50,0.68,0.80},{1.752,4.50,0.68,0.80},
    1382             :       {1.737,4.50,0.68,0.80},{1.364,4.50,0.68,0.80},{2.264,4.50,0.68,0.80},{1.654,4.50,0.68,0.80},{1.246,4.50,0.68,0.80},{1.240,4.50,0.68,0.80},
    1383             :       {1.965,4.50,0.68,0.80},{1.311,4.50,0.68,0.80},{1.471,4.50,0.68,0.80},{2.557,4.50,0.68,0.80},{1.240,4.50,0.68,0.80},{2.483,4.50,0.68,0.80},
    1384             :       {1.216,4.50,0.68,0.80},{2.456,4.50,0.68,0.80},{1.921,4.50,0.68,0.80},{1.225,4.50,0.68,0.80},{1.036,4.50,0.68,0.80},{ .962,4.50,0.68,0.80},
    1385             :       {1.684,4.50,0.68,0.80},{2.267,4.50,0.68,0.80},{1.814,4.50,0.68,0.80},{ .923,4.50,0.68,0.80},{ .909,4.50,0.68,0.80},{1.074,4.50,0.68,0.80},
    1386             :       { .968,4.50,0.68,0.80},{1.734,4.50,0.68,0.80},{1.033,4.50,0.68,0.80},{ .894,4.50,0.68,0.80},{1.065,4.50,0.68,0.80},{2.104,4.50,0.68,0.80},
    1387             :       { .977,4.50,0.68,0.80},{1.666,4.50,0.68,0.80},{1.577,4.50,0.68,0.80},{1.302,4.50,0.68,0.80},{1.293,4.50,0.68,0.80},{1.462,4.50,0.68,0.80},
    1388             :       {1.423,4.50,0.68,0.80},{1.492,4.50,0.68,0.80},{1.453,4.50,0.68,0.80},{1.477,4.50,0.68,0.80},{1.314,4.50,0.68,0.80},{1.110,4.50,0.68,0.80},
    1389             :       {2.847,4.50,0.68,0.80},{ .912,4.50,0.68,0.80},{1.873,4.50,0.68,0.80},{2.560,4.50,0.68,0.80},{1.042,4.50,0.68,0.80},{1.938,4.50,0.68,0.80},
    1390             :       {2.513,4.50,0.68,0.80},{ .687,4.50,0.68,0.80},{ .669,4.50,0.68,0.80},{1.944,4.50,0.68,0.80},{1.320,4.50,0.68,0.80},{ .938,4.50,0.68,0.80},
    1391             :       { .684,4.50,0.68,0.80},{ .758,4.50,0.68,0.80},{ .838,4.50,0.68,0.80},{1.444,4.50,0.68,0.80},{ .681,4.50,0.68,0.80},{2.625,4.50,0.68,0.80},
    1392             :       {1.278,4.50,0.68,0.80},{1.057,4.50,0.68,0.80},{1.057,4.50,0.68,0.80},{1.204,4.50,0.68,0.80},{1.199,4.50,0.68,0.80},{1.341,4.50,0.68,0.80},
    1393             :       {1.305,4.50,0.68,0.80},{1.284,4.50,0.68,0.80},{1.350,4.50,0.68,0.80},{ .873,4.50,0.68,0.80},{1.302,4.50,0.68,0.80},{1.270,4.50,0.68,0.80},
    1394             :       {1.160,4.50,0.68,0.80},{ .518,4.50,0.68,0.80},{ .503,4.50,0.68,0.80},{ .870,4.50,0.68,0.80},{1.027,4.50,0.68,0.80},{1.086,4.50,0.68,0.80},
    1395             :       {1.832,4.50,0.68,0.80},{1.569,4.50,0.68,0.80},{2.669,4.50,0.68,0.80},{ .500,4.50,0.68,0.80},{ .675,4.50,0.68,0.80},{1.971,4.50,0.68,0.80},
    1396             :       {1.930,4.50,0.68,0.80},{2.592,4.50,0.68,0.80},{ .494,4.50,0.68,0.80},{ .740,4.50,0.68,0.80},{ .900,4.50,0.68,0.80},{ .900,4.50,0.68,0.80},
    1397             :       {1.042,4.50,0.68,0.80},{1.042,4.50,0.68,0.80},{1.148,4.50,0.68,0.80},{1.145,4.50,0.68,0.80},{ .405,4.50,0.68,0.80},{ .400,4.50,0.68,0.80},
    1398             :       {2.592,4.50,0.68,0.80},{1.190,4.50,0.68,0.80},{1.181,4.50,0.68,0.80},{ .829,4.50,0.68,0.80},{2.850,4.50,0.68,0.80},{ .817,4.50,0.68,0.80},
    1399             :       {1.716,4.50,0.68,0.80},{2.388,4.50,0.68,0.80},{ .391,4.50,0.68,0.80},{ .539,4.50,0.68,0.80},{1.255,4.50,0.68,0.80},{2.681,4.50,0.68,0.80},
    1400             :       { .382,4.50,0.68,0.80},{ .666,4.50,0.68,0.80},{2.143,4.50,0.68,0.80},{2.175,4.50,0.68,0.80},{ .337,4.50,0.68,0.80},{ .334,4.50,0.68,0.80},
    1401             :       {2.060,4.50,0.68,0.80},{ .796,4.50,0.68,0.80},{ .796,4.50,0.68,0.80},{ .935,4.50,0.68,0.80},{ .935,4.50,0.68,0.80},{ .669,4.50,0.68,0.80},
    1402             :       { .619,4.50,0.68,0.80},{1.497,4.50,0.68,0.80},{1.817,4.50,0.68,0.80},{2.625,4.50,0.68,0.80},{ .326,4.50,0.68,0.80},{ .441,4.50,0.68,0.80},
    1403             :       { .296,4.50,0.68,0.80},{ .296,4.50,0.68,0.80},{1.033,4.50,0.68,0.80},{1.462,4.50,0.68,0.80},{ .533,4.50,0.68,0.80},{2.362,4.50,0.68,0.80},
    1404             :       {.488,4.50,0.68,0.80},{2.157,4.50,0.68,0.80},{2.678,4.50,0.68,0.80},{1.506,4.50,0.68,0.80},{ 1.492,4.50,0.68,0.80},{1.148,4.50,0.68,0.80},
    1405             :       {1.142,4.50,0.68,0.80},{ .275,4.50,0.68,0.80},{ .272,4.50,0.68,0.80},{ .290,4.50,0.68,0.80},{ .370,4.50,0.68,0.80},{ .864,4.50,0.68,0.80},
    1406             :       { .441,4.50,0.68,0.80},{ .397,4.50,0.68,0.80},{2.456,4.50,0.68,0.80},{2.737,4.50,0.68,0.80},{ .885,4.50,0.68,0.80},{ .263,4.50,0.68,0.80},
    1407             :       { .263,4.50,0.68,0.80},{2.231,4.50,0.68,0.80},{1.711,4.50,0.68,0.80},{1.666,4.50,0.68,0.80},{2.592,4.50,0.68,0.80},{2.510,4.50,0.68,0.80},
    1408             :       {  .370,4.50,0.68,0.80},{.334,4.50,0.68,0.80},{.719,4.50,0.68,0.80},{ .272,4.50,0.68,0.80},{ .323,4.50,0.68,0.80},{  .725,4.50,0.68,0.80},
    1409             :       { 2.539,4.50,0.68,0.80},{.882,4.50,0.68,0.80},{2.465,4.50,0.68,0.80},{.257,4.50,0.68,0.80},{ .257,4.50,0.68,0.80},{ 2.279,4.50,0.68,0.80},
    1410             :       { .323,4.50,0.68,0.80},{ .299,4.50,0.68,0.80},{ .645,4.50,0.68,0.80},{.627,4.50,0.68,0.80},{ 1.891,4.50,0.68,0.80},{2.033,4.50,0.68,0.80},
    1411             :       { 1.770,4.50,0.68,0.80},{1.184,4.50,0.68,0.80},{1.181,4.50,0.68,0.80},{1.773,4.50,0.68,0.80},{2.282,4.50,0.68,0.80} };
    1412             : 
    1413             :     static const double gl[335]={
    1414             :       3.00,  1.00,  1.00,  1.00,  3.00,  1.00,  3.00,  3.00,  1.00,  3.00,  3.00,  1.00,  3.00,  1.00,  1.00,   1.00,  1.00,  3.00,  1.00,  3.00,
    1415             :       3.00,  1.00,  1.00,  1.00,  3.00,  1.00,  3.00,  1.00,  3.00,  1.00,  3.00,  1.00,  1.00,  3.00,  1.00,   3.00,  3.00,  1.00,  3.00,  1.00,
    1416             :       1.00,  3.00,  1.00,  3.00,  3.00,  3.00,  3.00,  3.00,  1.00,  3.00,  3.00,  1.00,  1.00,  3.00,  3.00,   1.00,  3.00,  1.00,  3.00,  1.00,
    1417             :       1.00,  1.00,  3.00,  1.00,  3.00,  1.00,  1.00,  1.00,  3.00,  1.00,  3.00,  3.00,  3.00,  1.00,  1.00,   3.00,  1.00,  1.00,  3.00,  3.00,
    1418             :       3.00,  3.00,  1.00,  3.00,  1.00,  3.00,  3.00,  3.00,  3.00,  3.00,  1.00,  1.00,  1.00,  1.00,  3.00,   1.00,  1.00,  1.00,  1.00,  1.00,
    1419             :       1.00,  3.00,  1.00,  3.00,  3.00,  3.00,  3.00,  3.00,  1.00,  1.00,  1.00,  3.00,  1.00,  1.00,  3.00,   3.00,  3.00,  1.00,  3.00,  1.00,
    1420             :       1.00,  3.00,  3.00,  1.00,  3.00,  3.00,  1.00,  3.00,  1.00,  3.00,  1.00,  3.00,  3.00,  3.00,  1.00,   3.00,  1.00,  3.00,  1.00,  3.00,
    1421             :       3.00,  1.00,  1.00,  3.00,  1.00,  1.00,  1.00,  3.00,  3.00,  3.00,  1.00,  1.00,  3.00,  1.00,  3.00,   1.00,  3.00,  1.00,  1.00,  1.00,
    1422             :       1.00,  3.00,  3.00,  3.00,  3.00,  3.00,  1.00,  1.00,  1.00,  3.00,  1.00,  3.00,  3.00,  3.00,  1.00,   1.00,  3.00,  3.00,  1.00,  3.00,
    1423             :       3.00,  1.00,  1.00,  1.00,  3.00,  1.00,  3.00,  3.00,  1.00,  1.00,  3.00,  3.00,  1.00,  1.00,  3.00,   3.00,  1.00,  3.00,  1.00,  1.00,
    1424             :       3.00,  3.00,  1.00,  3.00,  1.00,  1.00,  3.00,  1.00,  3.00,  1.00,  1.00,  1.00,  3.00,  1.00,  1.00,   1.00,  1.00,  3.00,  1.00,  1.00,
    1425             :       3.00,  3.00,  3.00,  1.00,  1.00,  3.00,  3.00,  1.00,  3.00,  3.00,  1.00,  3.00,  1.00,  3.00,  3.00,   1.00,  3.00,  3.00,  1.00,  3.00,
    1426             :       1.00,  3.00,  3.00,  1.00,  1.00,  3.00,  3.00,  1.00,  1.00,  3.00,  1.00,  3.00,  1.00,  3.00,  1.00,   3.00,  3.00,  1.00,  3.00,  3.00,
    1427             :       1.00,  3.00,  3.00,  1.00,  1.00,  3.00,  1.00,  1.00,  3.00,  1.00,  3.00,  3.00,  1.00,  1.00,  3.00,   1.00,  3.00,  1.00,  3.00,  1.00,
    1428             :       3.00,  1.00,  1.00,  3.00,  1.00,  1.00,  3.00,  3.00,  1.00,  1.00,  3.00,  1.00,  3.00,  3.00,  3.00,   3.00,  1.00,  1.00,  3.00,  3.00,
    1429             :       1.00,  3.00,  1.00,  1.00,  1.00,  1.00,  3.00,  3.00,  3.00,  1.00,  3.00,  3.00,  3.00,  1.00,  1.00,   3.00,  1.00,  3.00,  1.00,  1.00,
    1430             :       1.00,  3.00,  1.00,  3.00,  1.00,  3.00,  3.00,  1.00,  1.00,  1.00,  3.00,  3.00,  1.00,  3.00,  1.00};
    1431             : 
    1432             : 
    1433             :     static const unsigned int ifin1[800]={
    1434             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    1435             :       2,   2,   2,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    1436             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    1437             :       5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,
    1438             :       6,   7,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   9,   9,  10,  10,  10,  10,  10,  10, 10,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    1439             :      10,  10,  10,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    1440             :      11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  12,  12,  12, 13,  14,  14,  14,  14,  15,  15,  15,  15,  15,
    1441             :      15,  15,  15,  15,  15,  15,  16,  16,  16,  16, 16,  16,  16,  16,  16,  16,  16,  16,  16,  16, 16,  16,  16,  16,  17,  17,  17,  17,  17,  17,
    1442             :      17,  17,  17,  17,  17,  17,  17,  17,  17,  17, 17,  17,  17,  17,  17,  17,  17,  17,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    1443             :      18,  18,  18,  18,  19,  19,  19,  19,  19,  19, 19,  19,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
    1444             :      21,  21,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
    1445             :      22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
    1446             :      22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23,
    1447             :      23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  24,  24,  24,  24,  24,
    1448             :      24,  24,  24,  24,  24,  24,  24,  24,  24,  24, 24,  24,  24,  24,  24,  25,  27,  27,  27,  27, 27,  27,  27,  27,  27,  27,  27,  28,  29,  29,
    1449             :      29,  29,  29,  29,  29,  29,  29,  29,  29,  29, 29,  29,  29,  29,  29,  29,  29,  29,  29,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30,
    1450             :      30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30,
    1451             :      30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  31,  31,  31,  31,  31,  31, 31,  31,  31,  31,  31,  31,  31,  31,  31,  31,
    1452             :      31,  31,  31,  31,  31,  31,  31,  31,  31,  31, 31,  32,  32,  32,  32,  32,  33,  33,  33,  34, 34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
    1453             :      34,  34,  34,  34,  34,  34,  34,  34,  34,  34, 34,  34,  34,  35,  35,  35,  35,  35,  36,  36, 36,  36,  38,  38,  38,  38,  39,  39,  39,  39,
    1454             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    1455             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    1456             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  40,  40,
    1457             :      40,  40,  40,  40,  40,  40,  41,  41,  41,  42, 42,  42,  42,  42,  42,  42,  42,  42,  42,  42, 42,  42,  42,  42,  42,  42,  42,  42,  42,  42,
    1458             :      42,  42,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  44,  44,  44,  44,  44,  44,  44,  44, 44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    1459             :      44,  44,  44,  44,  44,  44,  44,  44,  44,  44, 44,  44,  44,  44,  44,  44,  44,  44,  44,  44, 44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    1460             :      44,  45,  45,  45,  45,  45,  45,  45,  45,  45, 45,  45,  45,  45,  45,  45,  45,  45,  45,  45};
    1461             : 
    1462             :     static const unsigned int ini1[800]={
    1463             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1464             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    1465             :       2,   2,   2,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    1466             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    1467             :       5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,
    1468             :       6,   7,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   9,   9,  10,  10,  10,  10,  10,  10, 10,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    1469             :      10,  10,  10,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    1470             :      11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  12,  12,  12, 13,  14,  14,  14,  14,  15,  15,  15,  15,  15,
    1471             :      15,  15,  15,  15,  15,  15,  16,  16,  16,  16, 16,  16,  16,  16,  16,  16,  16,  16,  16,  16, 16,  16,  16,  16,  17,  17,  17,  17,  17,  17,
    1472             :      17,  17,  17,  17,  17,  17,  17,  17,  17,  17, 17,  17,  17,  17,  17,  17,  17,  17,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    1473             :      18,  18,  18,  18,  19,  19,  19,  19,  19,  19, 19,  19,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
    1474             :      21,  21,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
    1475             :      22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
    1476             :      22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23,
    1477             :      23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  24,  24,  24,  24,  24,
    1478             :      24,  24,  24,  24,  24,  24,  24,  24,  24,  24, 24,  24,  24,  24,  24,  25,  27,  27,  27,  27, 27,  27,  27,  27,  27,  27,  27,  28,  29,  29,
    1479             :      29,  29,  29,  29,  29,  29,  29,  29,  29,  29, 29,  29,  29,  29,  29,  29,  29,  29,  29,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30,
    1480             :      30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30,
    1481             :      30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  31,  31,  31,  31,  31,  31, 31,  31,  31,  31,  31,  31,  31,  31,  31,  31,
    1482             :      31,  31,  31,  31,  31,  31,  31,  31,  31,  31, 31,  32,  32,  32,  32,  32,  33,  33,  33,  34, 34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
    1483             :      34,  34,  34,  34,  34,  34,  34,  34,  34,  34, 34,  34,  34,  35,  35,  35,  35,  35,  36,  36, 36,  36,  38,  38,  38,  38,  39,  39,  39,  39,
    1484             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    1485             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    1486             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  40,  40,
    1487             :      40,  40,  40,  40,  40,  40,  41,  41,  41,  42, 42,  42,  42,  42,  42,  42,  42,  42,  42,  42, 42,  42,  42,  42,  42,  42,  42,  42,  42,  42,
    1488             :      42,  42,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  44,  44,  44,  44,  44,  44,  44,  44, 44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    1489             :      44,  44,  44,  44,  44,  44,  44,  44,  44,  44, 44,  44,  44,  44,  44,  44,  44,  44,  44,  44};
    1490             : 
    1491             :     static const unsigned int ifin2[800]={
    1492             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   2,
    1493             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   4,   4,   4,   4,
    1494             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    1495             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   6,   6,   6,   6,   6,   6,   6,   6,
    1496             :       6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   8,   8,   8,   8,   8,   8,   8,   8,  8,   8,   8,   9,   9,  10,  10,  10,  10,  10,
    1497             :      10,  10,  10,  10,  10,  10,  10,  10,  10,  10, 10,  10,  10,  10,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    1498             :      11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  12,  12,
    1499             :      13,  13,  14,  14,  14,  15,  15,  15,  15,  15, 15,  15,  15,  15,  15,  15,  15,  16,  16,  16, 16,  16,  16,  16,  16,  16,  16,  16,  16,  16,
    1500             :      16,  16,  16,  16,  16,  17,  17,  17,  17,  17, 17,  17,  17,  17,  17,  17,  17,  17,  17,  17, 17,  17,  17,  17,  17,  17,  17,  17,  17,  18,
    1501             :      18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  19,  19,  19,  19,  19,  19, 19,  19,  20,  21,  21,  21,  21,  21,  21,  21,
    1502             :      21,  21,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  22,  22,  22,  22,  22,  22,
    1503             :      22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
    1504             :      22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  23,  23,  23,  23,  23,  23,  23,
    1505             :      23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23,
    1506             :      23,  23,  23,  23,  23,  24,  24,  24,  24,  24, 24,  24,  24,  24,  24,  24,  24,  24,  24,  24, 24,  24,  24,  24,  24,  25,  25,  27,  27,  27,
    1507             :      27,  27,  27,  27,  27,  27,  27,  28,  29,  29, 29,  29,  29,  29,  29,  29,  29,  29,  29,  29, 29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
    1508             :      30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30,
    1509             :      30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  31,  31,  31,  31,  31,  31,
    1510             :      31,  31,  31,  31,  31,  31,  31,  31,  31,  31, 31,  31,  31,  31,  31,  31,  31,  31,  31,  31, 31,  31,  32,  32,  32,  32,  33,  33,  33,  33,
    1511             :      34,  34,  34,  34,  34,  34,  34,  34,  34,  34, 34,  34,  34,  34,  34,  34,  34,  34,  34,  34, 34,  34,  34,  35,  35,  35,  35,  35,  36,  36,
    1512             :      36,  36,  36,  38,  38,  38,  38,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    1513             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    1514             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    1515             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  40, 40,  40,  40,  40,  40,  40,  41,  41,  41,  41, 42,  42,  42,  42,  42,  42,  42,  42,  42,  42,
    1516             :      42,  42,  42,  42,  42,  42,  42,  42,  42,  42, 42,  42,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  44,  44,  44,  44,  44,  44,  44,
    1517             :      44,  44,  44,  44,  44,  44,  44,  44,  44,  44, 44,  44,  44,  44,  44,  44,  44,  44,  44,  44, 44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    1518             :      44,  44,  44,  44,  44,  44,  44,  44,  44,  44, 44,  45,  45,  45,  45,  45,  45,  45,  45,  45};
    1519             : 
    1520             :     static const unsigned int ini2[800]={
    1521             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1522             :       1,   1,   1,   1,   1,   1,   1,   1,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   3,   3,   3,   3,   3,   3,   3,
    1523             :       3,   3,   3,   3,   3,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    1524             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    1525             :       5,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   8,   8,   8,   8,   8,   8,   8,   8,   8,
    1526             :       8,   8,   9,   9,  10,  10,  10,  10,  10,  10, 10,  10,  10,  10,  10,  10,  10,  10,  10,  10, 10,  10,  10,  11,  11,  11,  11,  11,  11,  11,
    1527             :      11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    1528             :      11,  11,  11,  11,  11,  11,  11,  12,  12,  13, 13,  14,  14,  14,  15,  15,  15,  15,  15,  15, 15,  15,  15,  15,  15,  15,  16,  16,  16,  16,
    1529             :      16,  16,  16,  16,  16,  16,  16,  16,  16,  16, 16,  16,  16,  16,  17,  17,  17,  17,  17,  17, 17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
    1530             :      17,  17,  17,  17,  17,  17,  17,  17,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  19,  19,  19,  19,  19,  19,  19,
    1531             :      19,  20,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
    1532             :      21,  21,  21,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
    1533             :      22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
    1534             :      22,  22,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23,
    1535             :      23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  24,  24,  24,  24,  24,  24, 24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
    1536             :      24,  24,  24,  24,  25,  25,  27,  27,  27,  27, 27,  27,  27,  27,  27,  27,  28,  29,  29,  29, 29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
    1537             :      29,  29,  29,  29,  29,  29,  29,  29,  29,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30,
    1538             :      30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30,
    1539             :      30,  30,  30,  31,  31,  31,  31,  31,  31,  31, 31,  31,  31,  31,  31,  31,  31,  31,  31,  31, 31,  31,  31,  31,  31,  31,  31,  31,  31,  31,
    1540             :      31,  32,  32,  32,  32,  33,  33,  33,  33,  34, 34,  34,  34,  34,  34,  34,  34,  34,  34,  34, 34,  34,  34,  34,  34,  34,  34,  34,  34,  34,
    1541             :      34,  34,  35,  35,  35,  35,  35,  36,  36,  36, 36,  36,  38,  38,  38,  38,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    1542             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    1543             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    1544             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  40,  40, 40,  40,  40,  40,  40,  41,  41,  41,  41,  42,
    1545             :      42,  42,  42,  42,  42,  42,  42,  42,  42,  42, 42,  42,  42,  42,  42,  42,  42,  42,  42,  42, 42,  43,  43,  43,  43,  43,  43,  43,  43,  43,
    1546             :      43,  43,  44,  44,  44,  44,  44,  44,  44,  44, 44,  44,  44,  44,  44,  44,  44,  44,  44,  44, 44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    1547             :      44,  44,  44,  44,  44,  44,  44,  44,  44,  44, 44,  44,  44,  44,  44,  44,  44,  44,  44,  44};
    1548             : 
    1549             :     static const unsigned int ifin3[800]={
    1550             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1551             :       1,   1,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   4,
    1552             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    1553             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   6,   6,   6,   6,   6,
    1554             :       6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   8,   8,   8,   8,   8,  8,   8,   8,   8,   8,   8,   9,   9,  10,  10,
    1555             :      10,  10,  10,  10,  10,  10,  10,  10,  10,  10, 10,  10,  10,  10,  10,  10,  10,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    1556             :      11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    1557             :      11,  12,  12,  13,  13,  14,  14,  14,  15,  15, 15,  15,  15,  15,  15,  15,  15,  15,  15,  15, 16,  16,  16,  16,  16,  16,  16,  16,  16,  16,
    1558             :      16,  16,  16,  16,  16,  16,  16,  16,  17,  17, 17,  17,  17,  17,  17,  17,  17,  17,  17,  17, 17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
    1559             :      17,  17,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  19,  19,  19, 19,  19,  19,  19,  19,  20,  21,  21,  21,  21,
    1560             :      21,  21,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  21,  21,  21,  22,  22,  22,
    1561             :      22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
    1562             :      22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  23,  23,  23,  23,
    1563             :      23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23,
    1564             :      23,  23,  23,  23,  23,  23,  23,  23,  24,  24, 24,  24,  24,  24,  24,  24,  24,  24,  24,  24, 24,  24,  24,  24,  24,  24,  24,  24,  25,  25,
    1565             :      27,  27,  27,  27,  27,  27,  27,  27,  27,  27, 28,  29,  29,  29,  29,  29,  29,  29,  29,  29, 29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
    1566             :      29,  29,  29,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30,
    1567             :      30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  31,  31,  31,
    1568             :      31,  31,  31,  31,  31,  31,  31,  31,  31,  31, 31,  31,  31,  31,  31,  31,  31,  31,  31,  31, 31,  31,  31,  31,  31,  32,  32,  32,  32,  33,
    1569             :      33,  33,  33,  34,  34,  34,  34,  34,  34,  34, 34,  34,  34,  34,  34,  34,  34,  34,  34,  34, 34,  34,  34,  34,  34,  34,  35,  35,  35,  35,
    1570             :      35,  36,  36,  36,  36,  36,  38,  38,  38,  38, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    1571             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    1572             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    1573             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  40,  40,  40,  40,  40,  40,  40,  41, 41,  41,  41,  42,  42,  42,  42,  42,  42,  42,
    1574             :      42,  42,  42,  42,  42,  42,  42,  42,  42,  42, 42,  42,  42,  42,  42,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  44,  44,  44,  44,
    1575             :      44,  44,  44,  44,  44,  44,  44,  44,  44,  44, 44,  44,  44,  44,  44,  44,  44,  44,  44,  44, 44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    1576             :      44,  44,  44,  44,  44,  44,  44,  44,  44,  44, 44,  44,  44,  44,  45,  45,  45,  45,  45,  45};
    1577             : 
    1578             :     static const unsigned int ini3[800]={
    1579             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1580             :       1,   1,   1,   1,   1,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    1581             :       3,   3,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    1582             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   6,   6,
    1583             :       6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   8,   8,  8,   8,   8,   8,   8,   8,   8,   8,   8,   9,
    1584             :       9,  10,  10,  10,  10,  10,  10,  10,  10,  10, 10,  10,  10,  10,  10,  10,  10,  10,  10,  10, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    1585             :      11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    1586             :      11,  11,  11,  11,  12,  12,  13,  13,  14,  14, 14,  15,  15,  15,  15,  15,  15,  15,  15,  15, 15,  15,  15,  16,  16,  16,  16,  16,  16,  16,
    1587             :      16,  16,  16,  16,  16,  16,  16,  16,  16,  16, 16,  17,  17,  17,  17,  17,  17,  17,  17,  17, 17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
    1588             :      17,  17,  17,  17,  17,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 19,  19,  19,  19,  19,  19,  19,  19,  20,  21,
    1589             :      21,  21,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  21,  21,  21,  21,  21,  21,
    1590             :      22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
    1591             :      22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  23,
    1592             :      23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23,
    1593             :      23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  24,  24,  24,  24,  24,  24,  24,  24,  24, 24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
    1594             :      24,  25,  25,  27,  27,  27,  27,  27,  27,  27, 27,  27,  27,  28,  29,  29,  29,  29,  29,  29, 29,  29,  29,  29,  29,  29,  29,  29,  29,  29,
    1595             :      29,  29,  29,  29,  29,  29,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30,
    1596             :      30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30, 30,  30,  30,  30,  30,  30,  30,  30,  30,  30,
    1597             :      31,  31,  31,  31,  31,  31,  31,  31,  31,  31, 31,  31,  31,  31,  31,  31,  31,  31,  31,  31, 31,  31,  31,  31,  31,  31,  31,  31,  32,  32,
    1598             :      32,  32,  33,  33,  33,  33,  34,  34,  34,  34, 34,  34,  34,  34,  34,  34,  34,  34,  34,  34, 34,  34,  34,  34,  34,  34,  34,  34,  34,  35,
    1599             :      35,  35,  35,  35,  36,  36,  36,  36,  36,  38, 38,  38,  38,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    1600             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    1601             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    1602             :      39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  40,  40,  40,  40,  40, 40,  40,  41,  41,  41,  41,  42,  42,  42,  42,
    1603             :      42,  42,  42,  42,  42,  42,  42,  42,  42,  42, 42,  42,  42,  42,  42,  42,  42,  42,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  44,
    1604             :      44,  44,  44,  44,  44,  44,  44,  44,  44,  44, 44,  44,  44,  44,  44,  44,  44,  44,  44,  44, 44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    1605             :      44,  44,  44,  44,  44,  44,  44,  44,  44,  44, 44,  44,  44,  44,  44,  44,  44,  45,  45,  45};
    1606             : 
    1607             : 
    1608             : 
    1609             :     static const double pi=3.141592654;
    1610             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
    1611             :     static const double mu=1.82332;  //Debyes
    1612             : 
    1613             :     //double q=0.034256116*pow(tt,1.5);    // Q(300 K)=178.120 JPL Line Catalog
    1614    10668574 :     double q=0.034256116*tt*sqrt(tt);    // Q(300 K)=178.120 JPL Line Catalog
    1615             :     unsigned int vp;
    1616             :     unsigned int ini;
    1617             :     unsigned int ifin;
    1618    10668574 :     std::complex<double>  lshape;
    1619    10668574 :     std::complex<double>  lshapeacum;
    1620             : 
    1621             : 
    1622    10668574 :     if(nu>999.9){
    1623             : 
    1624           0 :       return std::complex<double> (0.0,0.0);
    1625             : 
    1626             :     }else{
    1627             : 
    1628    10668574 :       vp=vpIndex(nu);
    1629             : 
    1630    10668574 :       if(pp<25){ ini=ini3[vp]; ifin=ifin3[vp]; }else{ if(pp<300){ ini=ini2[vp]; ifin=ifin2[vp]; }else{ ini=ini1[vp]; ifin=ifin1[vp]; } }
    1631    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
    1632    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
    1633    10668574 :       if(ifin==0||ifin<ini){
    1634             : 
    1635     4240272 :         return std::complex<double> (0.0,0.0);
    1636             : 
    1637             :       }else{
    1638             : 
    1639    18037425 :         for(unsigned int i=ini; i<ifin+1; i++){
    1640             : 
    1641    11609123 :           lshape=lineshape(nu,fre[i],linebroadening_water(fre[i],tt,pp,eh2o,ensanche[i][0],ensanche[i][1],ensanche[i][2],ensanche[i][3]),0.0);
    1642             : 
    1643    11609123 :           lshape=lshape*flin[i]*gl[i]*exp(-el[i]/tt)*(1-exp(-0.047992745509*fre[i]/tt));
    1644             : 
    1645    11609123 :           lshapeacum=lshapeacum+lshape;
    1646             : 
    1647             :         }
    1648             : 
    1649     6428302 :         lshapeacum=lshapeacum*(nu/pi)*(picube8div3hcesu*pow(mu,2)/q); // imaginary part: absorption coefficient in cm^2
    1650             :                                                                             // real part: delay in rad*cm^2
    1651             : 
    1652     6428302 :         return lshapeacum*1e-4;    // to give it in SI units (m^2)  // (  rad m^2 , m^2 )
    1653             : 
    1654             :       }
    1655             : 
    1656             :     }
    1657             : 
    1658             :   }
    1659             : 
    1660             : 
    1661             :   //////////////////////// Opacity Source Number: 11 /////////////////////////////
    1662             : 
    1663    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_hh16o(double tt, double pp, double eh2o, double nu){
    1664             : 
    1665             :     static const double fre[522] = {
    1666             :        22.234617,   183.310001,  321.195929, 325.152822,   380.197554,  390.188508,  437.365786,  439.141666, 443.037657,   448.001261,  470.880416,   474.688922,  488.491469, 503.499954,   504.414095,
    1667             :        556.936071,  620.701223,  752.033047, 906.190476,   916.171369,  970.314874,  987.926855, 1001.293579, 1074.447510, 1074.450439, 1097.364624,  1113.343506,
    1668             :       1146.620850, 1153.125610, 1153.447754, 1158.324585, 1162.914429, 1168.382690, 1172.519287, 1190.854004, 1207.642456, 1215.775879,  1219.918213, 1228.790894, 1236.490234, 1236.490723, 1271.173706,
    1669             :       1278.261353, 1296.401855, 1322.062134, 1333.029297, 1333.734253, 1410.622559, 1440.775879, 1512.243286, 1512.358032, 1541.968506,  1602.218750, 1661.009277, 1669.905884, 1716.770142, 1717.219971,
    1670             :       1717.238281, 1762.049683, 1766.194336, 1794.793213, 1797.164917, 1856.496704, 1856.499512, 1867.754028, 1879.747314, 1884.868042,  1898.843628, 1903.470215, 1903.569214, 1918.484741, 1919.361206,
    1671             :       1930.157104, 1944.950439, 1969.209473, 2015.986694, 2022.371338, 2025.167603, 2040.480347, 2074.430908, 2162.357178, 2164.134033,  2175.395752, 2175.892090, 2196.348389, 2221.749512, 2244.798096,
    1672             :       2264.152344, 2317.860596, 2344.252930, 2347.451904, 2355.093506, 2355.178223, 2356.748779, 2358.515137, 2365.902100, 2391.573486,  2428.252197, 2446.835449, 2462.936035, 2531.894287, 2547.394775,
    1673             :       2567.174561, 2571.751709, 2574.961426, 2602.496582, 2618.201416, 2619.323242, 2630.963867, 2640.476562, 2644.914307, 2664.570557,  2685.642334, 2689.044434, 2712.224365, 2721.470215, 2773.979004,
    1674             :       2801.812500, 2836.786133, 2838.571289, 2848.771729, 2864.042969, 2880.030518, 2884.277588, 2884.942383, 2962.107666, 2968.750732,  2970.798340, 2989.611328, 2989.938721, 2991.528076, 2997.372559,
    1675             :       2998.565918, 3003.360596, 3011.131104, 3013.200928, 3043.768066, 3074.613281, 3118.934814, 3126.589844, 3135.013916, 3149.856445,  3165.537598, 3167.581543, 3182.188721, 3210.361084, 3230.147705,
    1676             :       3242.007324, 3245.232666, 3307.299072, 3323.194336, 3329.184326, 3331.462158, 3350.895508, 3354.355713, 3365.210938, 3402.357422,  3428.800049, 3468.105957, 3477.542969, 3495.348633, 3497.691406,
    1677             :       3497.700195, 3503.236084, 3509.395996, 3524.848633, 3536.664062, 3538.082275, 3547.178223, 3569.766602, 3599.643311, 3612.967041,  3654.606445, 3669.865967, 3674.246826, 3682.703857, 3691.316895,
    1678             :       3718.042969, 3721.492676, 3736.993408, 3762.439941, 3775.912109, 3798.278564, 3807.263916, 3809.183594, 3830.651611, 3855.278809,  3922.859619, 3936.949463, 3949.330811, 3953.483643, 3954.344238,
    1679             :       3956.030518, 3970.992676, 3977.049316, 3981.654053, 4000.157471, 4020.075195, 4035.976318, 4046.934570, 4053.368896, 4072.539307,  4080.917480, 4090.253662, 4101.301270, 4118.583008, 4157.245117,
    1680             :       4158.798828, 4161.912109, 4166.852051, 4174.057129, 4190.579102, 4218.437500, 4239.429688, 4240.187500, 4241.226074, 4279.597656,  4305.398926, 4345.487305, 4348.334961, 4366.788574, 4372.642578,
    1681             :       4380.344727, 4435.662109, 4467.616699, 4468.573730, 4509.372559, 4512.388672, 4519.476562, 4535.935059, 4571.626465, 4600.438477,  4602.698242, 4619.316406, 4668.626465, 4681.352051, 4684.310547,
    1682             :       4684.646484, 4687.294434, 4687.478027, 4689.498047, 4690.042969, 4690.502441, 4692.996094, 4700.997070, 4703.642090, 4715.733398,  4724.263672, 4734.295898, 4739.351074, 4749.300293, 4764.022461,
    1683             :       4769.729004, 4801.924316, 4802.988281, 4806.478027, 4843.365234, 4851.373535, 4869.814453, 4922.436523, 4929.354492, 4947.516113,  4971.006836, 4983.063477, 4993.749023, 4995.889160, 4997.618652,
    1684             :       5031.587891, 5039.218262, 5094.389648, 5107.286133, 5141.480469, 5162.856445, 5194.858398, 5197.115234, 5201.435059, 5205.333984,  5227.480469, 5264.046875, 5276.513672, 5280.730957, 5297.037109,
    1685             :       5322.554199, 5331.894531, 5340.038086, 5350.834961, 5354.925293, 5355.066406, 5363.381348, 5364.864258, 5365.890625, 5367.713867,  5368.607422, 5368.771484, 5372.354492, 5372.546387, 5376.338379,
    1686             :       5377.333496, 5380.180664, 5404.980957, 5424.200684, 5429.517090, 5437.819824, 5476.755859, 5508.605957, 5563.786133, 5566.169922,  5590.651855, 5628.669434, 5641.758789, 5642.085938, 5652.221191,
    1687             :       5734.314453, 5745.763672, 5772.804199, 5791.293457, 5800.348633, 5801.258789, 5825.623535, 5827.402832, 5831.823242, 5862.105957,  5870.084961, 5870.382324, 5913.849609, 5920.743164, 5927.955566,
    1688             :       5936.366699, 5948.863770, 5948.883301, 5951.507812, 5974.460938, 5974.598145, 5993.568848, 5995.089355, 5995.770996, 5998.833496,  6002.584473, 6002.696289, 6008.021973, 6009.441406, 6010.683105,
    1689             :       6011.272461, 6017.750977, 6018.080078, 6069.846680, 6076.475098, 6083.241699, 6132.811523, 6144.350098, 6166.270996, 6204.464844,  6232.336426, 6249.174805, 6252.356934, 6333.647461, 6334.460938,
    1690             :       6372.369629, 6373.128418, 6374.534180, 6413.186523, 6432.151855, 6449.397461, 6459.154785, 6482.924805, 6482.927734, 6498.508301,  6502.453125, 6520.811035, 6520.831543, 6554.908691, 6555.020020,
    1691             :       6583.322266, 6583.687988, 6583.797363, 6591.576172, 6603.834473, 6605.517090, 6608.801758, 6613.626465, 6617.330566, 6618.762207,  6622.659668, 6645.573242, 6647.482422, 6685.065430, 6702.183105,
    1692             :       6706.533691, 6772.161133, 6781.169434, 6783.467285, 6830.006348, 6837.352051, 6884.583496, 6916.979980, 6917.308594, 6925.285156,  6931.553711, 6951.812500, 6958.659668, 6992.815430, 6992.815918,
    1693             :       6994.716309, 7041.973145, 7041.976074, 7054.262695, 7064.055176, 7065.917480, 7087.209961, 7087.227539, 7126.841797, 7126.923340,  7159.030762, 7159.341309, 7181.690918, 7182.708984, 7224.776367,
    1694             :       7233.533691, 7306.716797, 7321.074707, 7330.934570, 7337.663086, 7355.121582, 7367.564941, 7375.817383, 7432.240723, 7459.451660,  7459.596680, 7479.122070, 7491.806152, 7567.957520, 7567.957520,
    1695             :       7609.100098, 7612.908691, 7613.799805, 7625.316895, 7625.520508, 7625.520996, 7626.206543, 7677.482910, 7677.485352, 7707.561523,  7722.062988, 7722.076660, 7747.363281, 7754.206543, 7758.712402,
    1696             :       7814.349121, 7831.405273, 7879.645508, 7948.519043, 7980.320801, 7999.686035, 7999.751465, 8021.053711, 8027.005371, 8149.468262,  8182.586426, 8183.017578, 8267.326172, 8274.441406, 8276.783203,
    1697             :       8278.713867, 8341.956055, 8349.770508, 8404.710938, 8404.710938, 8404.716797, 8451.620117, 8461.892578, 8464.212891, 8464.212891,  8525.195312, 8537.547852, 8537.579102, 8559.085938, 8561.903320,
    1698             :       8568.458984, 8629.490234, 8677.352539, 8686.968750, 8715.722656, 8735.931641, 8736.146484, 8785.902344, 8787.137695, 8823.014648,  8946.191406, 9049.722656, 9072.887695, 9072.902344, 9077.880859,
    1699             :       9083.127930, 9083.238281, 9087.024414, 9093.927734, 9095.279297, 9131.275391, 9139.863281, 9285.300781, 9285.409180, 9288.641602,  9289.305664, 9345.036133, 9390.063477, 9435.738281, 9445.885742,
    1700             :       9449.122070, 9602.740234, 9605.547852, 9605.554688, 9616.522461, 9625.801758, 9626.460938, 9643.747070, 9702.218750, 9711.139648,  9783.533203, 9819.860352, 9821.017578, 9830.557617, 9830.613281};
    1701             : 
    1702             : 
    1703             :     static const double flin[522]= {
    1704             :      .56800E-01, .10200E+00, .89500E-01, .90700E-01, .12300E+00, .65100E-01, .88400E-01, .10100E+00, .88400E-01, .13200E+00, .10200E+00, .11800E+00, .35900E-01, .78600E-01, .78600E-01,
    1705             :      .15000E+01, .12200E+00, .20700E+01, .13200E+00, .16300E+00, .26400E+00, .75600E+00, .8270E-01,  .6070E-01,  .6070E-01,  .2180E+01,  .1000E+01,
    1706             :       .2470E-01,  .3020E+00,  .5130E-01,  .2830E+00,  .2540E+01,  .2310E+00,  .2580E+00,  .2320E+00,  .3640E+01,  .2090E+00, .2090E+00,  .1260E+01,  .5700E-01,  .5700E-01,  .1600E+00,
    1707             :       .2610E+00,  .1980E+00,  .3160E+00,  .1920E+00,  .1920E+00,  .4220E+01,  .2760E+00,  .1780E+00,  .1780E+00,  .3090E+00, .2050E+01,  .8330E+00,  .1500E+01,  .1740E+01,  .1670E+00,
    1708             :       .1670E+00,  .4800E+01,  .4390E+00,  .4240E+01,  .5910E+01,  .1580E+00,  .1580E+00,  .3430E+01,  .1870E-01,  .4390E+00, .4070E+00,  .2240E+00,  .4300E-01,  .4390E+00,  .1300E+01,
    1709             :       .3750E+00,  .3750E+00,  .4100E+00,  .6410E+01,  .3480E+00,  .3480E+00,  .2170E+01,  .8360E+00,  .4570E+00,  .2160E+01, .3250E+00,  .3250E+00,  .1090E+01,  .1920E+01,  .5330E+00,
    1710             :       .1570E+01,  .7060E+01,  .4010E+01,  .8160E+01,  .3070E+00,  .3070E+00,  .3190E+00,  .2510E+00,  .1040E+01,  .2830E+01, .6340E+01,  .5620E+01,  .1850E+01,  .5270E+00,  .6150E+00,
    1711             :       .5580E+00,  .8610E+01,  .4360E+00,  .3750E-01,  .6000E+00,  .1530E-01,  .2480E+01,  .3010E+01,  .5640E+00,  .4220E+01, .1710E+01,  .5660E+00,  .5290E+00,  .5290E+00,  .1500E+01,
    1712             :       .6120E+00,  .4990E+00,  .4990E+00,  .9270E+01,  .1040E+02,  .2950E+01,  .1860E+01,  .3060E+01,  .8640E+00,  .1240E+01, .1630E+01,  .4740E+00,  .4740E+00,  .8490E+01,  .7770E+01,
    1713             :       .3810E+01,  .6030E+01,  .3390E+00,  .3910E+01,  .2070E+01,  .1080E+02,  .7500E+00,  .1090E+01,  .3970E+01,  .6880E+00, .1090E+01,  .1790E+01,  .2020E+01,  .3270E+01,  .2870E+01,
    1714             :       .3360E-01,  .6290E+01,  .7910E+00,  .1320E-01,  .3610E+01,  .1670E+01,  .1260E+02,  .7650E+00,  .1140E+02,  .7270E+00, .7280E+00,  .7730E+00,  .1070E+02,  .4230E+01,  .6910E+00,
    1715             :       .4640E+00,  .6910E+00,  .5030E+01,  .1310E+02,  .1860E+01,  .9850E+01,  .8000E+00,  .8120E+01,  .4950E+01,  .3460E+01, .4980E+01,  .9030E+00,  .5760E+01,  .3720E+01,  .1830E+01,
    1716             :       .8340E+00,  .3990E+01,  .4700E+01,  .6150E+00,  .7470E+00,  .2660E+01,  .1970E+01,  .8310E+01,  .3060E-01,  .3030E+01, .2100E+01,  .9570E+00,  .1110E+01,  .2090E+01,  .3010E+01,
    1717             :       .1110E+01,  .3870E+01,  .9240E+00,  .1170E-01,  .1500E+01,  .4680E+01,  .1030E+02,  .9670E+00,  .5030E+01,  .3580E+01, .1180E+02,  .9350E+00,  .6990E+01,  .5400E+01,  .9400E+00,
    1718             :       .8970E+00,  .1870E+01,  .5980E+01,  .8980E+00,  .5980E+01,  .2450E+01,  .7800E+01,  .1860E+01,  .9750E+00,  .6010E+01, .9930E+00,  .3710E+01,  .5890E+01,  .5630E+01,  .1020E+02,
    1719             :       .2810E-01,  .5250E+01,  .1060E+01,  .2390E+01,  .6490E+01,  .2370E+01,  .4920E+01,  .3780E+01,  .3650E+01,  .3130E+01, .1050E-01,  .4000E+01,  .3080E+01,  .8900E+01,  .4850E+01,
    1720             :       .3980E+01,  .9940E+01,  .2130E+01,  .1120E+01,  .3070E+01,  .1120E+01,  .2130E+01,  .5700E+01,  .1160E+01,  .6460E+00, .6990E+01,  .6990E+01,  .1090E+01,  .6490E+01,  .1880E+01,
    1721             :       .1150E+01,  .1880E+01,  .1400E+01,  .6840E+01,  .7200E+01,  .1080E+01,  .5390E+01,  .1160E+01,  .7610E+01,  .7770E+01, .3720E+01,  .2380E+01,  .7810E+01,  .8290E+00,  .4000E+01,
    1722             :       .5600E+01,  .9920E+00,  .3690E+01,  .2320E+01,  .6780E+01,  .7080E+01,  .4880E+01,  .9580E-02,  .6110E+00,  .8290E+01, .1230E+01,  .5850E+01,  .7990E+01,  .7990E+01,  .1310E+01,
    1723             :       .2160E+01,  .4950E+01,  .5480E+01,  .1890E+01,  .1140E+01,  .1140E+01,  .4050E+01,  .6670E+01,  .5810E+01,  .2160E+01, .2160E+01,  .1890E+01,  .3130E+01,  .4940E+01,  .3130E+01,
    1724             :       .4040E+01,  .7500E+01,  .1360E+01,  .8280E+01,  .1350E+01,  .4980E+01,  .8660E+01,  .8980E+01,  .3740E+01,  .7240E+01, .7550E+01,  .3730E+01,  .2330E+01,  .9600E+01,  .5600E+01,
    1725             :       .8600E+01,  .1390E+01,  .8830E-02,  .1390E+01,  .5950E+01,  .8930E+01,  .8990E+01,  .8990E+01,  .5550E+01,  .1390E+01, .3470E+01,  .7670E+01,  .2110E+01,  .5990E+01,  .1910E+01,
    1726             :       .1910E+01,  .1150E+01,  .1150E+01,  .6780E+01,  .2200E+01,  .2200E+01,  .5890E+01,  .3170E+01,  .3170E+01,  .8450E+01, .7350E+01,  .7610E+01,  .4100E+01,  .5010E+01,  .4100E+01,
    1727             :       .6750E+01,  .5890E+01,  .5000E+01,  .2460E+01,  .3390E+01,  .3390E+01,  .3770E+01,  .1390E+01,  .3760E+01,  .7540E+01, .5630E+01,  .1850E+01,  .1490E+01,  .5600E+01,  .8200E-02,
    1728             :       .9990E+01,  .9990E+01,  .6980E+01,  .2760E+01,  .7000E+01,  .1330E-01,  .7430E+01,  .1160E+01,  .1160E+01,  .1920E+01, .1920E+01,  .2220E+01,  .2220E+01,  .3220E+01,  .3220E+01,
    1729             :       .4160E+01,  .7680E+01,  .4160E+01,  .1910E+01,  .5070E+01,  .5070E+01,  .6820E+01,  .5950E+01,  .7670E+01,  .5950E+01, .6820E+01,  .3890E+00,  .4620E+01,  .3800E+01,  .3790E+01,
    1730             :       .3260E+01,  .7560E+01,  .5660E+01,  .3270E+01,  .3250E+01,  .5650E+01,  .7680E-02,  .1100E+02,  .1100E+02,  .7500E+01, .7990E+01,  .3050E+01,  .8000E+01,  .1170E+01,  .1170E+01,
    1731             :       .3990E+01,  .2250E+01,  .2250E+01,  .1810E+01,  .1940E+01,  .1940E+01,  .3260E+01,  .3260E+01,  .4220E+01,  .4220E+01, .5130E+01,  .5130E+01,  .6010E+01,  .6010E+01,  .3830E+01,
    1732             :       .3830E+01,  .5700E+01,  .4890E+01,  .5760E+01,  .5690E+01,  .1430E+01,  .5080E-01,  .1810E+01,  .3160E+01,  .1200E+02, .1200E+02,  .9000E+01,  .9000E+01,  .1190E+01,  .1190E+01,
    1733             :       .3070E+01,  .4390E+01,  .4390E+01,  .1960E+01,  .2280E+01,  .2280E+01,  .1960E+01,  .3300E+01,  .3300E+01,  .5890E+01, .4270E+01,  .4270E+01,  .2660E+01,  .3860E+01,  .3860E+01,
    1734             :       .5740E+01,  .5730E+01,  .4180E+01,  .6850E+01,  .3060E+01,  .1300E+02,  .1300E+02,  .9990E+01,  .9990E+01,  .6910E+01, .1980E+01,  .1980E+01,  .2370E+01,  .3890E+01,  .3890E+01,
    1735             :       .2590E+00,  .4260E+01,  .4260E+01,  .1200E+01,  .1200E+01,  .3050E+01,  .9580E-01,  .2790E+01,  .2310E+01,  .2310E+01, .7900E+01,  .1400E+02,  .1400E+02,  .1100E+02,  .1100E+02,
    1736             :       .2230E+01,  .7930E+01,  .1020E+01,  .5370E+01,  .3170E+01,  .2000E+01,  .2000E+01,  .3930E+01,  .3920E+01,  .3640E+01, .3480E+01,  .4140E+01,  .1500E+02,  .1500E+02,  .8920E+01,
    1737             :       .5390E+01,  .5390E+01,  .4130E+01,  .1200E+02,  .1200E+02,  .8940E+01,  .4020E+01,  .2020E+01,  .2020E+01,  .3960E+01, .3960E+01,  .4770E+01,  .6540E+01,  .4410E-02,  .2380E+01,
    1738             :       .3140E+01,  .5700E+01,  .1600E+02,  .1600E+02,  .9930E+01,  .1300E+02,  .1300E+02,  .9940E+01,  .1240E+00,  .4020E+01, .4790E+01,  .5250E+01,  .5250E+01,  .2040E+01,  .2040E+01};
    1739             : 
    1740             :     static const double el[522] = {
    1741             :       642.4,195.9,1846.0,454.4, 305.2, 2194.5, 1503.7, 1067.7, 1503.7, 410.7, 1067.8, 702.4, 843.9, 2006.9, 2007.0, 34.3, 702.3, 100.8, 1511.1, 410.9, 552.3, 53.5,
    1742             :       4620.445, 3892.334, 3892.334,  196.834,    0.032, 1070.771,  194.158, 2553.643,  878.209,  249.489, 1749.926, 1278.628, 1749.948,  396.442, 2288.852,
    1743             :       2288.853,  136.927, 4645.157, 4645.157, 3173.693, 1278.553, 1212.082,  732.151, 2892.024, 2891.990, 574.800,  951.853, 3556.723, 3556.718,   877.897,
    1744             :       319.505,  114.384,   34.257,  114.407,  4281.886, 4281.885,  867.334, 1090.335,  781.163, 1125.849, 5070.502, 5070.501,  642.461, 1324.086, 1525.040,
    1745             :       2031.169, 2732.447, 2938.743,  550.427,  204.685, 2605.266, 2605.257, 2031.192, 1414.347, 3243.741, 3243.707,  454.372,  296.842, 1524.723,  100.837,
    1746             :       3943.897, 3943.873,  305.291,  468.172, 1339.966, 323.537, 1845.959, 1013.293, 2213.239,  4704.473, 4704.469, 2325.893, 4835.409,  296.854,  204.722,
    1747             :       1729.462, 1511.070,  432.197, 1628.487, 1807.144, 1088.894, 2609.074, 1957.221, 3349.599, 2347.345, 1603.692,  598.933,  196.776, 2955.963, 1212.020,
    1748             :       470.009, 2955.945, 3629.333, 3629.289,    60.969, 2347.233, 4364.355, 4364.369, 3173.679, 3645.847, 795.579,  642.776,  951.944,  725.140,    53.421,
    1749             :       432.223, 5159.621, 5159.604, 3030.128,  2732.448, 1270.391, 2069.061, 4292.688,  323.488,  732.121, 4145.141, 2125.714,  552.346,  319.542, 1806.030,
    1750             :       550.377,  643.579,  725.178, 1021.026,   933.776, 3786.107, 2325.952, 2698.574, 1909.611, 1175.123, 136.914, 5407.781, 3340.915, 4835.494,  4048.312,
    1751             :       4048.342, 3340.856, 4668.503, 1447.749, 4817.536, 3783.336, 4817.470, 1957.274, 6006.033,  843.566, 4292.698, 2481.661, 3474.477,  469.943, 1274.304,
    1752             :       468.105, 1334.973, 2432.663, 1552.657,   843.844, 2697.861, 1628.495, 1750.051, 3310.430, 2876.284, 598.910,  249.479, 3783.287, 4248.057,  1339.975,
    1753             :       1090.331, 3085.055,  878.261, 1088.861, 1334.920, 877.939, 1615.421,  114.430, 2241.609,   933.821, 1929.366, 5214.102, 3759.877, 2080.868, 1554.548,
    1754             :       6175.246, 4500.597, 3310.467, 2275.338, 4500.482, 5303.108, 1070.658,  643.521, 5303.075,  642.783, 396.446, 3941.738, 1070.802, 2122.352,  2651.910,
    1755             :       3759.472, 1860.548, 2876.312, 2820.526, 5568.645, 4735.476, 2439.020, 3507.287,  195.941, 3057.583, 194.138, 2481.698,  795.608, 1861.395,   574.812,
    1756             :       2599.604, 2125.706, 1807.140, 4996.929, 2473.087, 2122.371, 5781.144, 1525.035, 1278.638, 1806.012, 1278.590, 1524.770, 2857.286, 4212.859, 5568.579,
    1757             :       843.870,  843.588, 3082.945, 3273.968,  1324.061, 4985.688, 1324.142, 1615.491, 3491.024, 3721.654, 3966.169, 2823.784, 4985.359, 4431.927, 4462.555,
    1758             :       2194.128, 1175.149, 4198.937, 4996.934,  781.151, 3233.020, 4462.554, 2194.506,  305.287, 3966.146, 3951.220, 1021.084, 2983.576,  204.769, 4704.382,
    1759             :       4211.619, 3507.264, 1070.766, 1070.663, 4699.981, 296.856, 3085.008, 3234.717, 1603.699,  1750.002, 1749.996, 2698.597, 3954.125, 3501.976, 2031.189,
    1760             :       2031.146, 1603.738, 2347.366, 3082.957, 2347.175, 2697.927, 4438.690, 2473.100, 4954.278, 5503.422, 1013.324, 5236.755, 5499.627, 2553.479, 4437.264,
    1761             :       4945.689, 2553.665,  454.437, 6073.421, 3670.434, 5778.495, 5502.745, 3393.347, 5221.660, 1274.325, 5794.981, 1324.112, 1324.027, 3671.315, 3501.961,
    1762             :       1447.678, 5221.664, 1929.378, 1270.447, 1909.601, 1909.597, 2288.798, 2288.797, 4699.971, 2605.269, 2605.263, 4212.952, 2955.979, 2955.947, 5764.000,
    1763             :       4948.620, 5214.614, 3340.958, 3759.890, 3340.831, 4696.902, 4211.691, 3759.476,  642.491,  410.673, 410.449, 2938.669, 5778.516, 2938.764,  5483.331,
    1764             :       4132.793,  432.185, 4696.932, 4133.231, 3828.792, 1603.772, 1603.736, 1554.569,  867.314, 1552.703, 100.876, 5484.907, 2891.967, 2891.967,  2241.619,
    1765             :       2241.629, 3243.748, 3243.747, 3629.312, 3629.306, 4048.348, 6053.731, 4048.325, 2857.352, 4500.564, 4500.483, 5503.426, 4985.694, 6051.916, 4985.448,
    1766             :       5502.660,  323.561, 1750.069, 3349.565, 3349.644, 1125.835, 6044.885, 4620.253,  552.343,  550.409, 4620.457, 4289.790, 1909.635, 1909.620, 6045.737,
    1767             :       1861.436, 2275.364, 1860.535, 3556.696, 3556.696, 1414.304, 3943.936, 3943.936, 3954.147, 2599.577, 2599.587, 4364.365, 4364.364, 4817.563, 4817.560,
    1768             :       5303.119, 5303.104, 5820.631, 5820.582, 3786.063, 3786.143, 5132.630, 1729.442, 2080.868, 5132.745, 598.908,  196.810, 5214.614,  732.106,  2241.601,
    1769             :       2241.594, 2194.556, 2194.148, 4281.893, 4281.893, 725.218,  702.436,  702.393, 2983.540,  4704.530, 4704.530, 2983.597, 5159.637, 5159.637, 2069.093,
    1770             :       5646.697, 5646.696, 3273.983, 4248.055, 4248.138, 5669.768, 5669.850, 2651.934, 2439.029,  951.903, 2599.573, 2599.570, 2553.648, 2553.462, 2432.685,
    1771             :       3393.395, 3393.375, 4438.628, 4735.487, 4735.475, 469.982,  878.247,  877.872, 5070.535,  5070.535, 1212.135,  319.584,  933.791, 5528.079, 5528.079,
    1772             :       2823.853, 2983.560, 2983.558, 2938.726, 2938.691, 5763.976, 2820.547,  795.650, 3057.589, 1511.109, 3828.839, 3828.828, 5248.140, 5248.181, 3721.760,
    1773             :       1846.048, 1090.379, 3393.367, 3393.366, 3234.728, 1067.776, 1067.770, 1088.889, 3349.657, 3349.593, 3233.065, 2213.253, 4289.873, 4289.868, 5785.812,
    1774             :       5785.881, 2609.006, 3491.045,  249.453, 1175.166, 4954.311, 3030.138, 3828.803, 3828.803, 3671.276, 3786.131, 3786.100, 3670.470,  468.164, 1339.936,
    1775             :       4198.961, 1278.718, 1278.662, 4776.305, 4776.302};
    1776             : 
    1777             :     static const double ensanche[522][4] ={
    1778             :       {2.811,4.80,0.69,1.00},{3.050,5.30,0.64,0.85},{2.303,4.69,0.67,0.54}, {2.783,4.85,0.68,0.74},{2.873,5.38,0.54,0.89},{2.152,4.81,0.63,0.55},
    1779             :       {1.845,4.23,0.60,0.48},{2.100,4.29,0.63,0.52},{1.860,4.23,0.60,0.50}, {2.632,4.84,0.66,0.67},{2.152,4.57,0.66,0.65},{2.355,4.65,0.65,0.64},
    1780             :       {2.602,5.04,0.69,0.72},{1.612,3.98,0.61,0.43},{1.612,4.01,0.61,0.45}, {3.210,4.11,0.69,1.00},{2.438,4.68,0.71,0.68},{3.060,4.09,0.68,0.84},
    1781             :       {2.408,4.70,0.70,0.53},{2.670,4.78,0.70,0.78},{2.550,4.94,0.64,0.67}, {2.985,4.55,0.68,0.90},
    1782             :       {1.216,4.50,0.68,0.80},{ .823,4.50,0.68,0.80},{ .823,4.50,0.68,0.80}, {2.877,4.50,0.68,0.80},{2.811,4.50,0.68,0.80},{2.273,4.50,0.68,0.80},
    1783             :       {2.767,4.50,0.68,0.80},{1.702,4.50,0.68,0.80},{2.039,4.50,0.68,0.80}, {2.702,4.50,0.68,0.80},{1.418,4.50,0.68,0.80},{1.716,4.50,0.68,0.80},
    1784             :       {1.527,4.50,0.68,0.80},{2.732,4.50,0.68,0.80},{1.225,4.50,0.68,0.80}, {1.252,4.50,0.68,0.80},{2.794,4.50,0.68,0.80},{ .758,4.50,0.68,0.80},
    1785             :       { .758,4.50,0.68,0.80},{1.867,4.50,0.68,0.80},{1.986,4.50,0.68,0.80}, {2.445,4.50,0.68,0.80},{2.453,4.50,0.68,0.80},{1.092,4.50,0.68,0.80},
    1786             :       {1.095,4.50,0.68,0.80},{2.764,4.50,0.68,0.80},{2.442,4.50,0.68,0.80}, { .994,4.50,0.68,0.80},{ .994,4.50,0.68,0.80},{2.397,4.50,0.68,0.80},
    1787             :       {2.841,4.50,0.68,0.80},{2.773,4.50,0.68,0.80},{2.986,4.50,0.68,0.80}, {2.897,4.50,0.68,0.80},{ .914,4.50,0.68,0.80},{ .914,4.50,0.68,0.80},
    1788             :       {2.690,4.50,0.68,0.80},{2.072,4.50,0.68,0.80},{2.687,4.50,0.68,0.80}, {2.693,4.50,0.68,0.80},{ .838,4.50,0.68,0.80},{ .838,4.50,0.68,0.80},
    1789             :       {2.664,4.50,0.68,0.80},{2.015,4.50,0.68,0.80},{1.758,4.50,0.68,0.80}, {1.489,4.50,0.68,0.80},{2.078,4.50,0.68,0.80},{1.409,4.50,0.68,0.80},
    1790             :       {2.619,4.50,0.68,0.80},{2.714,4.50,0.68,0.80},{1.278,4.50,0.68,0.80}, {1.326,4.50,0.68,0.80},{1.648,4.50,0.68,0.80},{2.590,4.50,0.68,0.80},
    1791             :       {1.151,4.50,0.68,0.80},{1.160,4.50,0.68,0.80},{2.590,4.50,0.68,0.80}, {2.770,4.50,0.68,0.80},{2.131,4.50,0.68,0.80},{2.942,4.50,0.68,0.80},
    1792             :       {1.054,4.50,0.68,0.80},{1.057,4.50,0.68,0.80},{2.498,4.50,0.68,0.80}, {2.664,4.50,0.68,0.80},{2.107,4.50,0.68,0.80},{2.563,4.50,0.68,0.80},
    1793             :       {2.524,4.50,0.68,0.80},{2.450,4.50,0.68,0.80},{2.450,4.50,0.68,0.80}, { .965,4.50,0.68,0.80},{ .965,4.50,0.68,0.80},{2.181,4.50,0.68,0.80},
    1794             :       {1.557,4.50,0.68,0.80},{2.427,4.50,0.68,0.80},{2.776,4.50,0.68,0.80}, {2.359,4.50,0.68,0.80},{2.584,4.50,0.68,0.80},{2.397,4.50,0.68,0.80},
    1795             :       {2.137,4.50,0.68,0.80},{1.708,4.50,0.68,0.80},{2.501,4.50,0.68,0.80}, {2.270,4.50,0.68,0.80},{2.181,4.50,0.68,0.80},{1.062,4.50,0.68,0.80},
    1796             :       {1.471,4.50,0.68,0.80},{1.711,4.50,0.68,0.80},{2.302,4.50,0.68,0.80}, {2.847,4.50,0.68,0.80},{1.281,4.50,0.68,0.80},{2.584,4.50,0.68,0.80},
    1797             :       {2.302,4.50,0.68,0.80},{1.344,4.50,0.68,0.80},{1.145,4.50,0.68,0.80}, {1.163,4.50,0.68,0.80},{2.894,4.50,0.68,0.80},{1.719,4.50,0.68,0.80},
    1798             :       {1.048,4.50,0.68,0.80},{1.051,4.50,0.68,0.80},{2.172,4.50,0.68,0.80}, {2.101,4.50,0.68,0.80},{2.149,4.50,0.68,0.80},{2.314,4.50,0.68,0.80},
    1799             :       {2.489,4.50,0.68,0.80},{2.616,4.50,0.68,0.80},{2.779,4.50,0.68,0.80}, {2.684,4.50,0.68,0.80},{ .953,4.50,0.68,0.80},{ .953,4.50,0.68,0.80},
    1800             :       {1.995,4.50,0.68,0.80},{2.270,4.50,0.68,0.80},{2.149,4.50,0.68,0.80}, {2.069,4.50,0.68,0.80},{1.752,4.50,0.68,0.80},{2.477,4.50,0.68,0.80},
    1801             :       {2.320,4.50,0.68,0.80},{1.927,4.50,0.68,0.80},{1.669,4.50,0.68,0.80}, {2.107,4.50,0.68,0.80},{2.595,4.50,0.68,0.80},{2.237,4.50,0.68,0.80},
    1802             :       {1.980,4.50,0.68,0.80},{1.989,4.50,0.68,0.80},{2.051,4.50,0.68,0.80}, {1.935,4.50,0.68,0.80},{2.039,4.50,0.68,0.80},{ .758,4.50,0.68,0.80},
    1803             :       {2.332,4.50,0.68,0.80},{1.388,4.50,0.68,0.80},{1.332,4.50,0.68,0.80}, {1.971,4.50,0.68,0.80},{2.838,4.50,0.68,0.80},{1.731,4.50,0.68,0.80},
    1804             :       {1.222,4.50,0.68,0.80},{1.779,4.50,0.68,0.80},{1.089,4.50,0.68,0.80}, {1.107,4.50,0.68,0.80},{1.329,4.50,0.68,0.80},{1.657,4.50,0.68,0.80},
    1805             :       {1.832,4.50,0.68,0.80},{ .983,4.50,0.68,0.80},{1.861,4.50,0.68,0.80}, { .985,4.50,0.68,0.80},{2.288,4.50,0.68,0.80},{1.601,4.50,0.68,0.80},
    1806             :       {1.850,4.50,0.68,0.80},{1.888,4.50,0.68,0.80},{1.666,4.50,0.68,0.80}, {1.728,4.50,0.68,0.80},{2.075,4.50,0.68,0.80},{1.684,4.50,0.68,0.80},
    1807             :       {2.163,4.50,0.68,0.80},{2.492,4.50,0.68,0.80},{1.782,4.50,0.68,0.80}, {1.782,4.50,0.68,0.80},{1.642,4.50,0.68,0.80},{1.826,4.50,0.68,0.80},
    1808             :       {2.184,4.50,0.68,0.80},{1.622,4.50,0.68,0.80},{1.847,4.50,0.68,0.80}, {1.758,4.50,0.68,0.80},{2.445,4.50,0.68,0.80},{2.797,4.50,0.68,0.80},
    1809             :       {1.965,4.50,0.68,0.80},{ .542,4.50,0.68,0.80},{2.036,4.50,0.68,0.80}, {1.859,4.50,0.68,0.80},{1.264,4.50,0.68,0.80},{1.663,4.50,0.68,0.80},
    1810             :       {1.708,4.50,0.68,0.80},{1.752,4.50,0.68,0.80},{1.607,4.50,0.68,0.80}, {1.737,4.50,0.68,0.80},{2.823,4.50,0.68,0.80},{ .962,4.50,0.68,0.80},
    1811             :       {2.486,4.50,0.68,0.80},{1.654,4.50,0.68,0.80},{1.429,4.50,0.68,0.80}, {1.095,4.50,0.68,0.80},{1.400,4.50,0.68,0.80},{1.432,4.50,0.68,0.80},
    1812             :       {1.533,4.50,0.68,0.80},{ .977,4.50,0.68,0.80},{1.921,4.50,0.68,0.80}, {1.471,4.50,0.68,0.80},{1.009,4.50,0.68,0.80},{ .873,4.50,0.68,0.80},
    1813             :       {1.367,4.50,0.68,0.80},{1.645,4.50,0.68,0.80},{ .876,4.50,0.68,0.80}, {1.672,4.50,0.68,0.80},{2.717,4.50,0.68,0.80},{1.492,4.50,0.68,0.80},
    1814             :       {1.311,4.50,0.68,0.80},{2.255,4.50,0.68,0.80},{1.240,4.50,0.68,0.80}, {1.347,4.50,0.68,0.80},{1.364,4.50,0.68,0.80},{1.814,4.50,0.68,0.80},
    1815             :       {1.438,4.50,0.68,0.80},{1.604,4.50,0.68,0.80},{ .408,4.50,0.68,0.80}, {1.216,4.50,0.68,0.80},{1.169,4.50,0.68,0.80},{2.483,4.50,0.68,0.80},
    1816             :       {1.036,4.50,0.68,0.80},{2.456,4.50,0.68,0.80},{1.734,4.50,0.68,0.80}, {2.083,4.50,0.68,0.80},{1.225,4.50,0.68,0.80},{2.557,4.50,0.68,0.80},
    1817             :       { .678,4.50,0.68,0.80},{1.666,4.50,0.68,0.80},{1.577,4.50,0.68,0.80}, {1.554,4.50,0.68,0.80},{1.453,4.50,0.68,0.80},{1.492,4.50,0.68,0.80},
    1818             :       {1.258,4.50,0.68,0.80},{1.462,4.50,0.68,0.80},{1.302,4.50,0.68,0.80}, {1.477,4.50,0.68,0.80},{1.293,4.50,0.68,0.80},{1.423,4.50,0.68,0.80},
    1819             :       {1.314,4.50,0.68,0.80},{ .935,4.50,0.68,0.80},{1.539,4.50,0.68,0.80}, {1.246,4.50,0.68,0.80},{1.240,4.50,0.68,0.80},{1.885,4.50,0.68,0.80},
    1820             :       {1.110,4.50,0.68,0.80},{ .968,4.50,0.68,0.80},{ .829,4.50,0.68,0.80}, {1.033,4.50,0.68,0.80},{2.350,4.50,0.68,0.80},{ .894,4.50,0.68,0.80},
    1821             :       { .912,4.50,0.68,0.80},{1.246,4.50,0.68,0.80},{1.065,4.50,0.68,0.80}, { .926,4.50,0.68,0.80},{1.204,4.50,0.68,0.80},{1.421,4.50,0.68,0.80},
    1822             :       { .977,4.50,0.68,0.80},{2.264,4.50,0.68,0.80},{ .764,4.50,0.68,0.80}, {1.506,4.50,0.68,0.80},{2.267,4.50,0.68,0.80},{1.074,4.50,0.68,0.80},
    1823             :       {1.391,4.50,0.68,0.80},{1.042,4.50,0.68,0.80},{2.560,4.50,0.68,0.80}, {1.281,4.50,0.68,0.80},{ .814,4.50,0.68,0.80},{1.684,4.50,0.68,0.80},
    1824             :       { .491,4.50,0.68,0.80},{2.847,4.50,0.68,0.80},{ .657,4.50,0.68,0.80}, {1.418,4.50,0.68,0.80},{1.278,4.50,0.68,0.80},{ .923,4.50,0.68,0.80},
    1825             :       { .909,4.50,0.68,0.80},{ .802,4.50,0.68,0.80},{2.513,4.50,0.68,0.80}, {1.341,4.50,0.68,0.80},{ .938,4.50,0.68,0.80},{ .684,4.50,0.68,0.80},
    1826             :       {1.057,4.50,0.68,0.80},{1.057,4.50,0.68,0.80},{1.350,4.50,0.68,0.80}, { .985,4.50,0.68,0.80},{1.160,4.50,0.68,0.80},{1.204,4.50,0.68,0.80},
    1827             :       {1.199,4.50,0.68,0.80},{ .838,4.50,0.68,0.80},{1.305,4.50,0.68,0.80}, {1.270,4.50,0.68,0.80},{1.284,4.50,0.68,0.80},{1.302,4.50,0.68,0.80},
    1828             :       { .808,4.50,0.68,0.80},{2.163,4.50,0.68,0.80},{ .678,4.50,0.68,0.80}, { .681,4.50,0.68,0.80},{1.873,4.50,0.68,0.80},{ .574,4.50,0.68,0.80},
    1829             :       { .592,4.50,0.68,0.80},{ .681,4.50,0.68,0.80},{ .787,4.50,0.68,0.80}, { .917,4.50,0.68,0.80},{ .873,4.50,0.68,0.80},{2.625,4.50,0.68,0.80},
    1830             :       { .527,4.50,0.68,0.80},{ .758,4.50,0.68,0.80},{ .938,4.50,0.68,0.80}, { .956,4.50,0.68,0.80},{ .382,4.50,0.68,0.80},{ .811,4.50,0.68,0.80},
    1831             :       {1.320,4.50,0.68,0.80},{ .530,4.50,0.68,0.80},{ .687,4.50,0.68,0.80}, { .669,4.50,0.68,0.80},{ .870,4.50,0.68,0.80},{1.900,4.50,0.68,0.80},
    1832             :       {1.938,4.50,0.68,0.80},{ .843,4.50,0.68,0.80},{2.104,4.50,0.68,0.80}, {1.444,4.50,0.68,0.80},{ .500,4.50,0.68,0.80},
    1833             :       { .675,4.50,0.68,0.80},{ .900,4.50,0.68,0.80},{ .900,4.50,0.68,0.80}, { .912,4.50,0.68,0.80},{1.042,4.50,0.68,0.80},
    1834             :       {1.042,4.50,0.68,0.80},{1.051,4.50,0.68,0.80},{1.148,4.50,0.68,0.80}, {1.145,4.50,0.68,0.80},{ .589,4.50,0.68,0.80},
    1835             :       { .766,4.50,0.68,0.80},{ .710,4.50,0.68,0.80},{1.190,4.50,0.68,0.80}, {1.157,4.50,0.68,0.80},{1.181,4.50,0.68,0.80},
    1836             :       { .873,4.50,0.68,0.80},{1.030,4.50,0.68,0.80},{1.142,4.50,0.68,0.80}, {2.669,4.50,0.68,0.80},{1.971,4.50,0.68,0.80},
    1837             :       {1.930,4.50,0.68,0.80},{ .494,4.50,0.68,0.80},{ .935,4.50,0.68,0.80}, { .740,4.50,0.68,0.80},{ .684,4.50,0.68,0.80},
    1838             :       { .539,4.50,0.68,0.80},{2.592,4.50,0.68,0.80},{1.524,4.50,0.68,0.80}, { .820,4.50,0.68,0.80},{ .320,4.50,0.68,0.80},
    1839             :       { .518,4.50,0.68,0.80},{ .503,4.50,0.68,0.80},{1.027,4.50,0.68,0.80}, {2.592,4.50,0.68,0.80},{1.086,4.50,0.68,0.80},
    1840             :       {2.681,4.50,0.68,0.80},{ .728,4.50,0.68,0.80},{ .796,4.50,0.68,0.80}, { .796,4.50,0.68,0.80},{ .391,4.50,0.68,0.80},
    1841             :       { .539,4.50,0.68,0.80},{ .935,4.50,0.68,0.80},{ .935,4.50,0.68,0.80}, {1.045,4.50,0.68,0.80},{1.042,4.50,0.68,0.80},
    1842             :       {1.086,4.50,0.68,0.80},{ .639,4.50,0.68,0.80},{1.083,4.50,0.68,0.80}, {1.944,4.50,0.68,0.80},{1.045,4.50,0.68,0.80},
    1843             :       {1.042,4.50,0.68,0.80},{ .784,4.50,0.68,0.80},{ .932,4.50,0.68,0.80}, { .630,4.50,0.68,0.80},{ .929,4.50,0.68,0.80},
    1844             :       { .781,4.50,0.68,0.80},{2.850,4.50,0.68,0.80},{1.569,4.50,0.68,0.80}, { .382,4.50,0.68,0.80},{ .666,4.50,0.68,0.80},
    1845             :       {2.388,4.50,0.68,0.80},{ .518,4.50,0.68,0.80},{ .405,4.50,0.68,0.80}, {2.175,4.50,0.68,0.80},{2.060,4.50,0.68,0.80},
    1846             :       { .740,4.50,0.68,0.80},{ .287,4.50,0.68,0.80},{ .405,4.50,0.68,0.80}, { .400,4.50,0.68,0.80},{ .719,4.50,0.68,0.80},
    1847             :       { .829,4.50,0.68,0.80},{1.832,4.50,0.68,0.80},{ .817,4.50,0.68,0.80}, { .722,4.50,0.68,0.80},{ .722,4.50,0.68,0.80},
    1848             :       {2.143,4.50,0.68,0.80},{ .858,4.50,0.68,0.80},{ .858,4.50,0.68,0.80}, {1.790,4.50,0.68,0.80},{ .326,4.50,0.68,0.80},
    1849             :       { .441,4.50,0.68,0.80},{ .959,4.50,0.68,0.80},{ .959,4.50,0.68,0.80}, { .988,4.50,0.68,0.80},{ .988,4.50,0.68,0.80},
    1850             :       { .938,4.50,0.68,0.80},{ .938,4.50,0.68,0.80},{ .829,4.50,0.68,0.80}, { .829,4.50,0.68,0.80},{ .320,4.50,0.68,0.80},
    1851             :       { .604,4.50,0.68,0.80},{ .334,4.50,0.68,0.80},{1.817,4.50,0.68,0.80}, {1.255,4.50,0.68,0.80},{ .669,4.50,0.68,0.80},
    1852             :       {2.625,4.50,0.68,0.80},{2.678,4.50,0.68,0.80},{1.554,4.50,0.68,0.80}, {2.362,4.50,0.68,0.80},{ .337,4.50,0.68,0.80},
    1853             :       { .334,4.50,0.68,0.80},{ .669,4.50,0.68,0.80},{ .619,4.50,0.68,0.80}, { .666,4.50,0.68,0.80},{ .666,4.50,0.68,0.80},
    1854             :       {2.157,4.50,0.68,0.80},{1.506,4.50,0.68,0.80},{1.492,4.50,0.68,0.80}, { .290,4.50,0.68,0.80},{ .790,4.50,0.68,0.80},
    1855             :       { .790,4.50,0.68,0.80},{ .370,4.50,0.68,0.80},{ .873,4.50,0.68,0.80}, { .873,4.50,0.68,0.80},{1.462,4.50,0.68,0.80},
    1856             :       { .885,4.50,0.68,0.80},{ .885,4.50,0.68,0.80},{1.716,4.50,0.68,0.80}, { .287,4.50,0.68,0.80},{ .515,4.50,0.68,0.80},
    1857             :       { .293,4.50,0.68,0.80},{ .636,4.50,0.68,0.80},{1.497,4.50,0.68,0.80}, {1.033,4.50,0.68,0.80},{2.456,4.50,0.68,0.80},
    1858             :       { .296,4.50,0.68,0.80},{ .296,4.50,0.68,0.80},{ .533,4.50,0.68,0.80}, { .488,4.50,0.68,0.80},{1.148,4.50,0.68,0.80},
    1859             :       { .272,4.50,0.68,0.80},{ .323,4.50,0.68,0.80},{1.571,4.50,0.68,0.80}, { .269,4.50,0.68,0.80},{ .450,4.50,0.68,0.80},
    1860             :       {2.737,4.50,0.68,0.80},{1.711,4.50,0.68,0.80},{1.666,4.50,0.68,0.80}, { .610,4.50,0.68,0.80},{ .610,4.50,0.68,0.80},
    1861             :       {2.510,4.50,0.68,0.80},{2.539,4.50,0.68,0.80},{2.231,4.50,0.68,0.80}, { .716,4.50,0.68,0.80},{ .716,4.50,0.68,0.80},
    1862             :       { .864,4.50,0.68,0.80},{ .275,4.50,0.68,0.80},{ .272,4.50,0.68,0.80}, { .441,4.50,0.68,0.80},{ .397,4.50,0.68,0.80},
    1863             :       {1.462,4.50,0.68,0.80},{ .885,4.50,0.68,0.80},{2.592,4.50,0.68,0.80}, {1.142,4.50,0.68,0.80},{2.465,4.50,0.68,0.80},
    1864             :       { .260,4.50,0.68,0.80},{ .293,4.50,0.68,0.80},{ .260,4.50,0.68,0.80}, { .400,4.50,0.68,0.80},{1.500,4.50,0.68,0.80},
    1865             :       {2.279,4.50,0.68,0.80},{1.891,4.50,0.68,0.80},{ .263,4.50,0.68,0.80}, { .263,4.50,0.68,0.80},{ .719,4.50,0.68,0.80},
    1866             :       {1.184,4.50,0.68,0.80},{1.181,4.50,0.68,0.80},{1.770,4.50,0.68,0.80}, { .370,4.50,0.68,0.80},{ .334,4.50,0.68,0.80},
    1867             :       { .725,4.50,0.68,0.80},{2.033,4.50,0.68,0.80},{ .257,4.50,0.68,0.80}, { .275,4.50,0.68,0.80},{ .257,4.50,0.68,0.80},
    1868             :       { .355,4.50,0.68,0.80},{1.773,4.50,0.68,0.80},{ .882,4.50,0.68,0.80}, {2.418,4.50,0.68,0.80},{2.282,4.50,0.68,0.80},
    1869             :       {1.382,4.50,0.68,0.80},{1.447,4.50,0.68,0.80},{ .257,4.50,0.68,0.80}, { .257,4.50,0.68,0.80},{ .645,4.50,0.68,0.80},
    1870             :       { .323,4.50,0.68,0.80},{ .299,4.50,0.68,0.80},{ .627,4.50,0.68,0.80}, {2.270,4.50,0.68,0.80},{2.045,4.50,0.68,0.80},
    1871             :       {1.219,4.50,0.68,0.80},{1.344,4.50,0.68,0.80},{1.335,4.50,0.68,0.80}, { .255,4.50,0.68,0.80},{ .263,4.50,0.68,0.80}};
    1872             : 
    1873             :     static const double gl[522] = {
    1874             :       3.00,1.00,3.00,1.00,3.00,1.00,1.00,3.00,3.00,3.00,1.00,1.00,1.00,3.00,1.00,3.00,3.00,1.00,1.00,1.00,1.00,1.00,
    1875             :       3.00,  1.00,  3.00,  3.00,  1.00, 3.00,  3.00,  3.00,  3.00,  3.00, 3.00,  1.00,  1.00,  1.00,  1.00, 3.00,  1.00,  3.00,  1.00,  1.00,
    1876             :       3.00,  3.00,  3.00,  3.00,  1.00, 3.00,  1.00,  1.00,  3.00,  1.00, 1.00,  3.00,  3.00,  3.00,  3.00, 1.00,  1.00,  1.00,  1.00,  3.00,
    1877             :       1.00,  3.00,  3.00,  1.00,  3.00, 1.00,  3.00,  1.00,  3.00,  1.00, 3.00,  1.00,  3.00,  1.00,  1.00, 3.00,  1.00,  1.00,  1.00,  1.00,
    1878             :       3.00,  1.00,  3.00,  3.00,  3.00, 3.00,  3.00,  3.00,  1.00,  1.00, 3.00,  1.00,  3.00,  1.00,  1.00, 3.00,  1.00,  3.00,  1.00,  1.00,
    1879             :       3.00,  3.00,  3.00,  3.00,  3.00, 3.00,  1.00,  3.00,  1.00,  3.00, 1.00,  3.00,  3.00,  1.00,  3.00, 1.00,  1.00,  3.00,  1.00,  3.00,
    1880             :       3.00,  1.00,  1.00,  1.00,  1.00, 3.00,  3.00,  1.00,  1.00,  3.00, 1.00,  1.00,  1.00,  3.00,  3.00, 1.00,  3.00,  1.00,  1.00,  3.00,
    1881             :       3.00,  3.00,  1.00,  1.00,  3.00, 1.00,  1.00,  1.00,  1.00,  1.00, 1.00,  1.00,  3.00,  3.00,  1.00, 3.00,  1.00,  3.00,  3.00,  3.00,
    1882             :       3.00,  1.00,  3.00,  3.00,  3.00, 1.00,  1.00,  3.00,  1.00,  3.00, 3.00,  1.00,  3.00,  3.00,  1.00, 3.00,  1.00,  1.00,  1.00,  3.00,
    1883             :       1.00,  3.00,  3.00,  3.00,  3.00, 1.00,  3.00,  3.00,  3.00,  1.00, 1.00,  3.00,  3.00,  3.00,  3.00, 1.00,  1.00,  1.00,  3.00,  1.00,
    1884             :       3.00,  3.00,  1.00,  3.00,  1.00, 1.00,  1.00,  3.00,  3.00,  1.00, 1.00,  1.00,  3.00,  1.00,  1.00, 3.00,  1.00,  3.00,  1.00,  1.00,
    1885             :       1.00,  1.00,  1.00,  1.00,  3.00, 3.00,  1.00,  3.00,  3.00,  3.00, 1.00,  3.00,  1.00,  3.00,  3.00, 1.00,  3.00,  3.00,  1.00,  3.00,
    1886             :       3.00,  1.00,  1.00,  3.00,  1.00, 1.00,  3.00,  1.00,  3.00,  3.00, 1.00,  1.00,  3.00,  1.00,  1.00, 3.00,  3.00,  3.00,  3.00,  1.00,
    1887             :       3.00,  1.00,  3.00,  3.00,  1.00, 3.00,  1.00,  1.00,  3.00,  3.00, 3.00,  1.00,  3.00,  1.00,  1.00, 1.00,  1.00,  3.00,  1.00,  1.00,
    1888             :       1.00,  3.00,  1.00,  1.00,  3.00, 1.00,  1.00,  1.00,  3.00,  1.00, 3.00,  3.00,  3.00,  1.00,  1.00, 3.00,  3.00,  3.00,  1.00,  3.00,
    1889             :       3.00,  3.00,  3.00,  1.00,  1.00, 1.00,  3.00,  1.00,  1.00,  1.00, 1.00,  1.00,  1.00,  3.00,  3.00, 1.00,  1.00,  3.00,  3.00,  3.00,
    1890             :       3.00,  3.00,  1.00,  1.00,  3.00, 1.00,  1.00,  3.00,  1.00,  3.00, 1.00,  3.00,  1.00,  3.00,  3.00, 3.00,  1.00,  3.00,  1.00,  1.00,
    1891             :       3.00,  1.00,  3.00,  3.00,  3.00, 1.00,  3.00,  1.00,  1.00,  3.00, 3.00,  3.00,  3.00,  1.00,  3.00, 3.00,  1.00,  1.00,  1.00,  3.00,
    1892             :       1.00,  1.00,  3.00,  1.00,  1.00, 3.00,  1.00,  3.00,  3.00,  1.00, 1.00,  1.00,  3.00,  1.00,  3.00, 1.00,  3.00,  1.00,  3.00,  3.00,
    1893             :       1.00,  3.00,  1.00,  1.00,  3.00, 3.00,  1.00,  1.00,  1.00,  3.00, 3.00,  1.00,  1.00,  3.00,  3.00, 3.00,  3.00,  1.00,  1.00,  3.00,
    1894             :       1.00,  3.00,  1.00,  1.00,  3.00, 1.00,  1.00,  3.00,  3.00,  1.00, 1.00,  3.00,  3.00,  1.00,  3.00, 1.00,  3.00,  3.00,  3.00,  1.00,
    1895             :       1.00,  3.00,  1.00,  3.00,  3.00, 1.00,  1.00,  3.00,  3.00,  1.00, 1.00,  1.00,  3.00,  1.00,  1.00, 3.00,  3.00,  3.00,  1.00,  1.00,
    1896             :       1.00,  3.00,  3.00,  1.00,  3.00, 1.00,  3.00,  1.00,  1.00,  1.00, 1.00,  3.00,  3.00,  1.00,  3.00, 3.00,  1.00,  3.00,  3.00,  1.00,
    1897             :       1.00,  3.00,  1.00,  1.00,  3.00, 3.00,  1.00,  3.00,  3.00,  1.00, 3.00,  3.00,  1.00,  1.00,  3.00, 3.00,  1.00,  3.00,  3.00,  1.00,
    1898             :       1.00,  3.00,  1.00,  3.00,  1.00, 3.00,  1.00,  1.00,  3.00,  1.00, 3.00,  1.00,  3.00,  3.00,  1.00, 3.00,  1.00,  3.00,  1.00,  3.00,
    1899             :       1.00,  3.00,  1.00,  3.00,  1.00, 1.00,  1.00,  3.00,  1.00,  3.00, 1.00,  3.00,  1.00,  3.00,  3.00, 3.00,  1.00,  3.00,  1.00,  3.00};
    1900             : 
    1901             :     static const unsigned int ifin1[800] = {
    1902             :       226, 226, 226, 226, 226, 227, 228, 228, 228, 228, 229, 229, 229, 229, 229, 229, 229, 229, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230, 230,
    1903             :       230, 230, 230, 230, 230, 230, 231, 231, 231, 231, 231, 231, 231, 231, 231, 231, 231, 231, 231, 231, 232, 233, 233, 233, 233, 233, 233, 233, 233, 233,
    1904             :       234, 234, 234, 234, 234, 234, 234, 234, 234, 234, 234, 234, 234, 234, 234, 234, 234, 234, 234, 234, 234, 234, 234, 234, 235, 235, 235, 235, 235, 235,
    1905             :       235, 236, 238, 238, 240, 243, 244, 244, 244, 244, 245, 245, 246, 246, 246, 246, 246, 246, 247, 247, 247, 247, 248, 248, 248, 248, 248, 249, 249, 249,
    1906             :       250, 250, 250, 250, 250, 251, 251, 251, 251, 251, 251, 251, 252, 252, 252, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253, 253,
    1907             :       253, 255, 255, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 256, 257, 257, 257, 257, 258, 258, 258, 258,
    1908             :       258, 258, 258, 258, 258, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259, 259,
    1909             :       259, 260, 260, 260, 260, 261, 261, 261, 261, 261, 261, 261, 261, 261, 262, 262, 262, 262, 262, 262, 262, 262, 262, 262, 262, 262, 263, 263, 263, 263,
    1910             :       263, 263, 264, 264, 264, 264, 264, 265, 266, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 268, 268, 268, 268,
    1911             :       269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 270, 270, 270,
    1912             :       270, 270, 270, 270, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 272, 272, 272, 272, 272, 272, 272, 272, 272,
    1913             :       272, 273, 273, 273, 273, 273, 273, 273, 273, 273, 273, 273, 273, 273, 273, 273, 273, 274, 274, 275, 275, 276, 276, 277, 277, 277, 277, 277, 277, 277,
    1914             :       277, 277, 277, 277, 278, 278, 278, 278, 278, 278, 278, 278, 278, 278, 278, 278, 278, 278, 278, 278, 278, 278, 279, 279, 279, 279, 279, 279, 280, 280,
    1915             :       281, 281, 281, 281, 281, 281, 281, 281, 281, 282, 282, 282, 282, 282, 282, 282, 282, 282, 282, 282, 282, 283, 283, 283, 283, 283, 284, 284, 284, 284,
    1916             :       285, 285, 285, 285, 285, 286, 286, 287, 288, 288, 288, 288, 290, 291, 294, 294, 296, 296, 297, 298, 299, 299, 299, 299, 299, 299, 299, 299, 299, 299,
    1917             :       299, 299, 300, 300, 300, 300, 300, 300, 300, 300, 300, 300, 301, 301, 301, 302, 302, 302, 302, 303, 303, 303, 303, 303, 303, 303, 303, 303, 303, 303,
    1918             :       303, 303, 303, 303, 303, 303, 303, 303, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 304, 305, 305, 305, 305, 305, 305,
    1919             :       305, 305, 305, 305, 305, 305, 305, 305, 305, 305, 305, 305, 305, 305, 305, 305, 305, 305, 305, 305, 305, 305, 306, 307, 307, 307, 307, 307, 307, 307,
    1920             :       307, 307, 307, 307, 307, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 308, 309, 309, 309, 309, 309, 309,
    1921             :       309, 311, 311, 311, 311, 311, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312,
    1922             :       312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 312, 313, 313, 313, 313, 313, 313, 314, 314, 314, 314, 314, 314, 314,
    1923             :       314, 314, 314, 314, 314, 314, 315, 315, 315, 315, 315, 315, 315, 315, 315, 315, 316, 316, 316, 316, 317, 318, 318, 318, 318, 318, 318, 318, 318, 318,
    1924             :       318, 318, 318, 319, 320, 320, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 321, 322, 322, 322, 322, 324, 324, 324, 324, 324,
    1925             :       324, 324, 324, 324, 324, 324, 324, 324, 324, 324, 324, 324, 324, 324, 324, 324, 324, 325, 325, 325, 326, 326, 326, 326, 327, 327, 327, 327, 328, 328,
    1926             :       328, 328, 328, 328, 330, 330, 331, 331, 331, 331, 331, 331, 331, 331, 331, 331, 331, 333, 333, 333, 333, 333, 333, 333, 333, 333, 333, 334, 336, 337,
    1927             :       337, 339, 339, 339, 340, 342, 343, 343, 343, 345, 345, 345, 345, 345, 345, 345, 345, 345, 345, 345, 345, 345, 345, 345, 345, 345, 345, 345, 345, 345,
    1928             :       345, 345, 345, 345, 345, 346, 346, 346, 347, 347, 347, 347, 348, 348, 348, 348, 348, 348, 348, 348};
    1929             : 
    1930             :     static const unsigned int ini1[800]={
    1931             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1932             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1933             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1934             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1935             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1936             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1937             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1938             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1939             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1940             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1941             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1942             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1943             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1944             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1945             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1946             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1947             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1948             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1949             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1950             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1951             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1952             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1953             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1954             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1955             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1956             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1957             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1};
    1958             : 
    1959             :     static const unsigned int ifin2[800]={
    1960             :        75,  75,  75,  75,  75,  75,  75,  75,  76,  76,  76,  77,  77,  78,  78,  78,  78,  78,  78,  78,  79,  79,  79,  79,  79,  79,  79,  79,  79,  79,
    1961             :        79,  79,  79,  79,  79,  79,  79,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,
    1962             :        80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  80,  81,  82,  82,  82,  82,  82,  82,  84,  84,
    1963             :        84,  84,  84,  84,  84,  84,  84,  84,  85,  85,  85,  85,  85,  85,  85,  85,  85,  85,  85,  85,  85,  86,  86,  86,  86,  86,  86,  86,  86,  86,
    1964             :        86,  86,  87,  87,  87,  87,  87,  87,  87,  87,  87,  87,  88,  88,  88,  88,  88,  88,  88,  88,  88,  88,  88,  88,  88,  88,  88,  88,  88,  88,
    1965             :        88,  88,  88,  88,  88,  88,  88,  88,  88,  89,  89,  89,  89,  89,  89,  89,  89,  89,  89,  89,  89,  89,  90,  90,  91,  91,  91,  91,  94,  95,
    1966             :        95,  95,  95,  96,  96,  96,  96,  96,  96,  96,  96,  96,  96,  96,  96,  96,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,  97,
    1967             :        97,  97,  97,  97,  98,  98,  98,  98,  98,  98,  98,  98,  98,  99,  99,  99,  99,  99,  99,  99,  99, 100, 100, 100, 100, 100, 100, 100, 100, 100,
    1968             :       100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 100, 101, 101, 101, 101,
    1969             :       101, 101, 101, 101, 102, 102, 102, 102, 102, 102, 102, 102, 102, 102, 103, 103, 104, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105, 105,
    1970             :       105, 106, 106, 106, 106, 106, 106, 106, 106, 107, 108, 108, 108, 108, 108, 109, 109, 109, 109, 109, 110, 110, 111, 111, 111, 111, 111, 111, 111, 111,
    1971             :       111, 111, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 112, 113, 113, 114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 114, 115, 115, 115, 115,
    1972             :       115, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 116, 117, 117, 117,
    1973             :       117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 117, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 118, 119, 120,
    1974             :       120, 120, 120, 120, 121, 121, 121, 121, 121, 121, 121, 121, 122, 122, 122, 122, 122, 122, 122, 122, 123, 123, 125, 125, 125, 125, 125, 125, 125, 125,
    1975             :       125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125, 125,
    1976             :       125, 126, 126, 126, 127, 128, 128, 128, 128, 128, 128, 128, 128, 128, 128, 130, 131, 131, 131, 133, 133, 133, 134, 134, 134, 134, 135, 136, 136, 136,
    1977             :       136, 136, 136, 136, 136, 136, 136, 136, 136, 136, 136, 136, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 137, 138, 138, 138,
    1978             :       138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 138, 139, 139, 139, 139, 140, 140, 140, 140, 140, 141, 141,
    1979             :       141, 141, 141, 141, 141, 142, 142, 142, 142, 142, 142, 142, 142, 143, 144, 144, 144, 144, 144, 144, 144, 145, 145, 145, 145, 145, 145, 145, 145, 145,
    1980             :       145, 145, 145, 145, 145, 146, 146, 146, 146, 146, 146, 146, 146, 146, 146, 147, 147, 147, 147, 147, 147, 148, 148, 149, 149, 149, 149, 149, 149, 149,
    1981             :       149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 149, 150, 150, 150, 150, 150, 150,
    1982             :       150, 150, 151, 151, 151, 152, 153, 153, 153, 153, 153, 153, 153, 153, 153, 154, 154, 155, 155, 155, 155, 155, 155, 156, 156, 156, 156, 156, 156, 156,
    1983             :       156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 156, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 157, 158, 158, 158, 158, 158, 158,
    1984             :       158, 158, 158, 158, 158, 158, 158, 158, 158, 158, 158, 158, 158, 158, 159, 159, 159, 159, 159, 160, 160, 160, 160, 160, 160, 160, 160, 160, 161, 163,
    1985             :       163, 163, 164, 164, 164, 165, 165, 165, 165, 165, 165, 165, 166, 166, 166, 166, 166, 166, 167, 168, 168, 168, 168, 168, 169, 169, 169, 169, 169, 169,
    1986             :       169, 169, 169, 169, 169, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170, 170};
    1987             : 
    1988             :     static const unsigned int ini2[800]= {
    1989             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1990             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1991             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1992             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1993             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1994             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1995             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1996             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1997             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1998             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    1999             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2000             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2001             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2002             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2003             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2004             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2005             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2006             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2007             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2008             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2009             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2010             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2011             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2012             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2013             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2014             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2015             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1};
    2016             : 
    2017             :     static const unsigned int ifin3[800] = {
    2018             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2019             :        1,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2020             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2021             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   3,   3,   3,   3,   3,   3,   3,   3,
    2022             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   4,   4,   4,   4,   4,   4,   4,
    2023             :        4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  5,   5,   5,   5,   5,   6,   6,   6,   6,   6,
    2024             :        6,   6,   6,   6,   6,   6,   6,   6,   6,   6,  6,   6,   6,   6,   6,   6,   6,   6,   6,   7,  8,   8,   9,   9,  10,  10,  10,  10,  10,  10,
    2025             :       10,  10,  10,  10,  10,  11,  11,  12,  12,  12, 12,  12,  12,  12,  13,  13,  13,  13,  13,  13, 13,  13,  15,  15,  15,  15,  15,  15,  15,  15,
    2026             :       15,  15,  15,  15,  15,  15,  15,  15,  15,  15, 15,  15,  15,  15,  15,  15,  15,  15,  16,  16, 16,  16,  16,  16,  16,  16,  16,  16,  16,  16,
    2027             :       16,  16,  16,  16,  16,  16,  16,  16,  16,  16, 16,  16,  16,  16,  16,  16,  16,  16,  16,  16, 17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
    2028             :       17,  17,  17,  17,  17,  17,  17,  17,  17,  17, 17,  17,  17,  17,  17,  17,  17,  17,  17,  17, 17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
    2029             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2030             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2031             :       18,  18,  18,  18,  18,  18,  19,  19,  19,  19, 19,  19,  19,  19,  19,  19,  19,  19,  19,  19, 19,  19,  19,  19,  19,  19,  19,  19,  19,  19,
    2032             :       19,  19,  19,  19,  19,  19,  19,  19,  19,  19, 19,  19,  19,  19,  19,  19,  19,  19,  20,  20, 20,  20,  20,  20,  20,  20,  20,  20,  20,  20,
    2033             :       20,  20,  20,  20,  20,  20,  20,  20,  20,  20, 20,  20,  20,  20,  20,  21,  21,  21,  21,  21, 21,  21,  21,  21,  22,  22,  22,  22,  22,  22,
    2034             :       22,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23,
    2035             :       23,  23,  23,  23,  23,  23,  23,  25,  25,  25, 25,  25,  25,  25,  25,  25,  25,  25,  25,  26, 26,  26,  26,  26,  26,  26,  26,  27,  27,  27,
    2036             :       27,  27,  27,  27,  27,  27,  27,  27,  27,  27, 27,  27,  27,  28,  28,  28,  28,  30,  30,  31, 31,  32,  32,  32,  33,  33,  34,  34,  34,  34,
    2037             :       34,  34,  34,  34,  34,  35,  35,  35,  35,  35, 35,  35,  35,  35,  36,  36,  36,  36,  37,  37, 38,  38,  38,  38,  39,  39,  39,  39,  41,  41,
    2038             :       41,  41,  41,  41,  41,  41,  41,  41,  41,  41, 41,  41,  41,  41,  41,  41,  42,  42,  42,  43, 43,  43,  43,  43,  43,  43,  43,  43,  44,  44,
    2039             :       44,  44,  44,  44,  44,  44,  44,  44,  44,  44, 44,  45,  45,  45,  45,  45,  45,  47,  47,  47, 47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
    2040             :       47,  47,  47,  47,  47,  47,  47,  47,  47,  47, 47,  47,  47,  47,  47,  47,  47,  47,  47,  47, 47,  47,  47,  47,  47,  48,  48,  48,  48,  48,
    2041             :       48,  48,  48,  48,  48,  48,  48,  48,  48,  48, 49,  49,  49,  49,  49,  49,  49,  49,  49,  49, 49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
    2042             :       49,  49,  49,  49,  49,  49,  49,  49,  49,  49, 49,  49,  49,  49,  49,  49,  51,  51,  51,  51, 51,  51,  51,  51,  51,  51,  51,  51,  51,  51,
    2043             :       51,  52,  52,  52,  52,  52,  52,  52,  52,  52, 52,  52,  52,  52,  52,  52,  52,  52,  52,  52, 52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
    2044             :       52,  53,  53,  53,  53,  53,  53,  53,  53,  53, 53,  53,  53,  53,  53,  53,  53,  53,  53,  53};
    2045             : 
    2046             :     static const unsigned int ini3[800] = {
    2047             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2048             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    2049             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2050             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2051             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2052             :       3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2053             :       3,   4,   4,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2054             :       6,   6,   6,   6,   6,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   8,
    2055             :       9,   9,  10,  10,  11,  11,  11,  11,  11,  11,   11,  11,  11,  11,  11,  12,  12,  13,  13,  13,  13,  13,  13,  13,  14,  14,  14,  14,  14,  14,
    2056             :       14,  14,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  16,  17,  17,
    2057             :       17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
    2058             :       17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  17,  18,  18,  18,  18,
    2059             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2060             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2061             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  18,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,
    2062             :       19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  19,  20,  20,  20,  20,  20,  21,  21,
    2063             :       21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  21,  22,  22,  22,  22,  22,
    2064             :       22,  22,  22,  22,  23,  23,  23,  23,  23,  23,  23,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
    2065             :       24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  24,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  26,  27,
    2066             :       27,  27,  27,  27,  27,  27,  27,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  28,  29,  29,  29,  29,  31,  31,  32,
    2067             :       32,  33,  33,  33,  34,  34,  35,  35,  35,  35,  35,  35,  35,  35,  35,  36,  36,  36,  36,  36,  36,  36,  36,  36,  37,  37,  37,  37,  38,  38,
    2068             :       39,  39,  39,  39,  40,  40,  40,  40,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  43,  43,  43,  44,
    2069             :       44,  44,  44,  44,  44,  44,  44,  44,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  46,  46,  46,  46,  46,  46,  48,  48,  48,
    2070             :       48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,
    2071             :       48,  48,  48,  48,  48,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
    2072             :       50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  52,  52,  52,  52,
    2073             :       52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  53,  53,  53,  53,  53,  53,  53,  53,  53};
    2074             : 
    2075             : 
    2076             : 
    2077             :     static const double pi=3.141592654;
    2078             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
    2079             :     static const double mu=1.855;  //Debyes
    2080             : 
    2081             :     //double q=0.034278209*pow(tt,1.5);    // Q(300 K)=178.120 JPL Line Catalog
    2082    10668574 :     double q=0.034278209*tt*sqrt(tt);    // Q(300 K)=178.120 JPL Line Catalog
    2083             :     unsigned int vp;
    2084             :     unsigned int ini;
    2085             :     unsigned int ifin;
    2086    10668574 :     std::complex<double>  lshape;
    2087    10668574 :     std::complex<double>  lshapeacum;
    2088             : 
    2089             : 
    2090    10668574 :     if(nu>1595.9){
    2091             : 
    2092           0 :       ini=0;
    2093           0 :       ifin=521;
    2094             : 
    2095             : 
    2096             :     }else{
    2097             : 
    2098    10668574 :       vp=vpIndex(nu);
    2099    10668574 :       if(pp<25){ ini=ini3[vp]; ifin=ifin3[vp]; if(ini>2){ini=ini-2;} if(ifin<520){ifin=ifin+2;} }else{ if(pp<300){ ini=ini2[vp]; ifin=ifin2[vp]; }else{ ini=ini1[vp]; ifin=ifin1[vp]; } }
    2100    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
    2101    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
    2102             : 
    2103             :     }
    2104             : 
    2105             : 
    2106    10668574 :     if(ifin==0||ifin<ini){
    2107             : 
    2108           0 :       return std::complex<double> (0.0,0.0);
    2109             : 
    2110             :     }else{
    2111             : 
    2112             :       //  cout << "nu=" << nu << " GHz: including lines from " << fre[ini] << " GHz to " << fre[ifin] << " GHz" << endl;
    2113             : 
    2114  1682145290 :       for(unsigned int i=ini; i<ifin+1; i++){
    2115             : 
    2116  1671476716 :         lshape=lineshape(nu,fre[i],linebroadening_water(fre[i],tt,pp,eh2o,ensanche[i][0],ensanche[i][1],ensanche[i][2],ensanche[i][3]),0.0);
    2117  1671476716 :         lshape=lshape*flin[i]*gl[i]*exp(-el[i]/tt)*(1-exp(-0.047992745509*fre[i]/tt));
    2118  1671476716 :         lshapeacum=lshapeacum+lshape;
    2119             : 
    2120             :       }
    2121             : 
    2122    10668574 :       lshapeacum=lshapeacum*(nu/pi)*(picube8div3hcesu*pow(mu,2)/q); // imaginary part: absorption coefficient in cm^2
    2123             :       // real part: delay in rad*cm^2
    2124             : 
    2125    10668574 :       return lshapeacum*1e-4;    // to give it in SI units (  rad m^2 , m^2 )
    2126             : 
    2127             :     }
    2128             : 
    2129             : 
    2130             : 
    2131             :   }
    2132             : 
    2133             : 
    2134             :   //////////////////////// Opacity Source Number: 14 /////////////////////////////
    2135             : 
    2136    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_hh17o(double tt, double pp, double eh2o, double nu){
    2137             : 
    2138             : 
    2139             :     static const double fre[16]={
    2140             :       13.522059,194.001224,323.819514,385.783293, 482.981450,481.712039,489.015848,469.795466,
    2141             :       514.973492,507.838397,552.020778,658.391131, 748.458444,944.845857,987.845579,991.503015};
    2142             : 
    2143             :     static const double gl[16]={
    2144             :       3.,1.,1.,3.,1.,3.,3., 3.,1.,1.,3.,3.,1.,1.,1.,1.};
    2145             : 
    2146             :     static const double flin[16]={
    2147             :       .0548,.101,.088,.121,.0891,.0102,.0891, .132,.102,.119,1.5,.122,2.073,.164,.262,.760};
    2148             : 
    2149             :     static const double el[16]={
    2150             :       642.1,204.2,468.9,322.7, 1518.4,1084.6,1518.7,430.9,1086.2,722.6,
    2151             :       60.7,729.8,136.7,453.4,597.3,100.7};
    2152             : 
    2153             :     static const double dv0[16]={
    2154             :       2.85,2.68,3.03,3.19,1.5,1.94,1.51, 2.47,1.89,2.07,3.33,2.28,3.13,2.59,2.48,3.09};
    2155             : 
    2156             :     static const double dvlm[16]={
    2157             :       13.68,14.49,15.21,15.84,7.94,10.44,8.13,14.24,
    2158             :       10.56,11.95,14.66,12.78,13.93,14.06,14.16,15.20};
    2159             : 
    2160             :     static const double temp_exp[16]={
    2161             :       .626,.649,.619,.63,.29,.36,.332,.51, .380,.38,.645,.6,.69,.676,.56,.66};
    2162             : 
    2163             : 
    2164             :     static const unsigned int ifin1[500]={
    2165             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2166             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2167             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   3,   3,   3,   3,   3,   3,   3,   3,
    2168             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2169             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   4,   4,   4,
    2170             :        4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   5,   5,
    2171             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2172             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   7,   7,   7,   7,  9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    2173             :        9,   9,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2174             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2175             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2176             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  14,
    2177             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2178             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2179             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2180             :       14,  14,  14,  14,  14,  14,  14,  15,  15,  15, 15,  15,  15,  15,  15,  15,  15,  15,  15,  15, 15,  15,  15,  15,  15,  15,  15,  15,  15,  16,
    2181             :       16,  16,  16,  16,  16,  16,  16,  16,  16,  16, 16,  16,  16,  16,  16,  16,  16,  16,  16,  16};
    2182             : 
    2183             :     static const unsigned int ini1[500]={
    2184             :       1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   2,   2,   2,   2,   2,   2,   2,   2,
    2185             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2186             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2187             :       2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   3,   3,   3,   3,   3,   3,   3,   3,
    2188             :       3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2189             :       3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   4,   4,   4,
    2190             :       4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   5,   5,
    2191             :       5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2192             :       5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   7,   7,   7,   7,  9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    2193             :       9,   9,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2194             :      12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2195             :      12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2196             :      13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  14,
    2197             :      14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2198             :      14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2199             :      14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2200             :      14,  14,  14,  14,  14,  14,  14,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15};
    2201             : 
    2202             :     static const unsigned int ifin2[500]={
    2203             :        1,   1,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2204             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2205             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2206             :        2,   2,   2,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2207             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2208             :        3,   3,   3,   3,   3,   3,   3,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    2209             :        4,   4,   4,   4,   4,   4,   4,   4,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2210             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   7,   7,   7,
    2211             :        9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  9,   9,   9,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    2212             :       11,  11,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2213             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  13,  13,  13,  13,  13,
    2214             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2215             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2216             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2217             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2218             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  15,  15, 15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
    2219             :       15,  15,  15,  15,  15,  15,  15,  15,  15,  16, 16,  16,  16,  16,  16,  16,  16,  16,  16,  16};
    2220             : 
    2221             :     static const unsigned int ini2[500]={
    2222             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2223             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2224             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2225             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2226             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2227             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    2228             :        4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2229             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2230             :        5,   5,   5,   5,   5,   5,   7,   7,   7,   9,  9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  9,   9,  11,  11,  11,  11,  11,  11,  11,  11,
    2231             :       11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  12,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2232             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2233             :       12,  12,  12,  12,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2234             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2235             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2236             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2237             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  15,  15,  15,
    2238             :       15,  15,  15,  15,  15,  15,  15,  15,  15,  15, 15,  15,  15,  15,  15,  15,  15,  15,  16,  16};
    2239             : 
    2240             :     static const unsigned int ifin3[500]={
    2241             :        1,   1,   1,   1,   1,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2242             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2243             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2244             :        2,   2,   2,   2,   2,   2,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2245             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2246             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    2247             :        4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2248             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2249             :        7,   7,   7,   9,   9,   9,   9,   9,   9,   9,  9,   9,   9,   9,   9,   9,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    2250             :       11,  11,  11,  11,  11,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2251             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  13,  13,
    2252             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2253             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2254             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2255             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2256             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  15,  15,  15,  15,  15,  15,  15,  15,  15,
    2257             :       15,  15,  15,  15,  15,  15,  15,  15,  15,  15, 15,  15,  16,  16,  16,  16,  16,   0,   0,   0};
    2258             : 
    2259             :     static const unsigned int ini3[500]={
    2260             :        1,   1,   1,   1,   1,   1,   1,   1,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2261             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2262             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,  2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2263             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2264             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2265             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,  3,   3,   3,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    2266             :        4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2267             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,  5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2268             :        5,   5,   5,   7,   7,   7,   9,   9,   9,   9,  9,   9,   9,   9,   9,   9,   9,   9,   9,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    2269             :       11,  11,  11,  11,  11,  11,  11,  11,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2270             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12, 12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2271             :       12,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2272             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2273             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2274             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2275             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  14,  14,  14,  14,  14,  14, 14,  14,  14,  14,  15,  15,  15,  15,  15,  15,
    2276             :       15,  15,  15,  15,  15,  15,  15,  15,  15,  15, 15,  15,  15,  15,  15,  16,  16,   0,   0,   0};
    2277             : 
    2278             : 
    2279             :     static const double pi=3.141592654;
    2280             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
    2281             :     static const double mu=1.855;  //Debyes
    2282             : 
    2283             :     //double q=0.034412578*pow(tt,1.5);   // Q(300 K)=178.813   JPL Line Catalog
    2284    10668574 :     double q=0.034412578*tt*sqrt(tt);   // Q(300 K)=178.813   JPL Line Catalog
    2285             :     unsigned int vp;
    2286             :     unsigned int ini;
    2287             :     unsigned int ifin;
    2288    10668574 :     std::complex<double>  lshape;
    2289    10668574 :     std::complex<double>  lshapeacum;
    2290             : 
    2291             : 
    2292    10668574 :     if(nu>999.9){
    2293             : 
    2294           0 :       return std::complex<double> (0.0,0.0);
    2295             : 
    2296             :     }else{
    2297             : 
    2298    10668574 :       vp=vpIndex(nu);
    2299    10668574 :       if(pp<25){ ini=ini3[vp]; ifin=ifin3[vp]; }else{ if(pp<300){ ini=ini2[vp]; ifin=ifin2[vp]; }else{ ini=ini1[vp]; ifin=ifin1[vp]; } }
    2300    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
    2301    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
    2302             : 
    2303    10668574 :       if(ifin==0||ifin<ini){
    2304             : 
    2305      248720 :         return std::complex<double> (0.0,0.0);
    2306             : 
    2307             :       }else{
    2308             : 
    2309    26595048 :         for(unsigned int i=ini; i<ifin+1; i++){
    2310             : 
    2311    16175194 :           lshape=lineshape(nu,fre[i],linebroadening_hh18o_hh17o(tt,pp,eh2o,dv0[i],dvlm[i],temp_exp[i]),0.0);
    2312    16175194 :           lshape=lshape*flin[i]*gl[i]*exp(-el[i]/tt)*(1-exp(-0.047992745509*fre[i]/tt));
    2313    16175194 :           lshapeacum=lshapeacum+lshape;
    2314             : 
    2315             :         }
    2316             : 
    2317    10419854 :         lshapeacum=lshapeacum*(nu/pi)*(picube8div3hcesu*pow(mu,2)/q); // imaginary part: absorption coefficient in cm^2
    2318             :                                                                             // real part: delay in rad*cm^2
    2319    10419854 :         return lshapeacum*1e-4;    // to give it in SI units (  rad m^2 , m^2 )
    2320             : 
    2321             :       }
    2322             : 
    2323             :     }
    2324             : 
    2325             :   }
    2326             : 
    2327             :   //////////////////////// Opacity Source Number: 15 /////////////////////////////
    2328             : 
    2329             : //   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_hdo(double tt, double pp, double eh2o, double nu){
    2330    10668574 : std::complex<double>  RefractiveIndex::mkSpecificRefractivity_hdo(double tt, double pp, double nu){    // eh2o removed (unused parameter)
    2331             : 
    2332             :     static const double fre[58]={
    2333             :       5.70284, 10.27828, 22.30749, 50.23643, 64.42724, 80.57828, 143.72739,151.61604,207.11122,241.56151,305.03867,310.53348,
    2334             :       464.92450,481.77936,537.79272,540.37543,559.81665,797.48669, 848.96191,862.66339,890.26971,919.31085, 20.46006, 61.18605,
    2335             :       87.96289,120.77818,138.53059,207.34569,225.89665,241.97346, 255.05026,266.16098,313.75076,317.15128,335.39542,382.06503,
    2336             :       479.94748,490.59668,509.29245,539.93585,599.92676,622.48346, 753.41113,766.16309,774.77631,827.26306,836.99475,838.66260,
    2337             :       838.95593,853.55231,859.35687,893.63861,895.87488,904.89404, 938.41833,958.56860,984.13788,995.41144};
    2338             : 
    2339             :     static const double flin[58]={
    2340             :       0.401E+01,0.332E+01,0.322E+01,0.227E+01,0.264E+01,0.150E+01, 0.168E+01,0.219E+01,0.178E-01,0.833E+00,0.181E+01,0.130E+01,
    2341             :       0.100E+01,0.587E+00,0.632E-02,0.150E+01,0.103E+01,0.463E+00, 0.150E+01,0.126E+01,0.848E+00,0.199E+01,0.223E+00,0.298E+00,
    2342             :       0.448E+00,0.238E+00,0.200E+00,0.105E+00,0.228E+00,0.460E+00, 0.338E+00,0.132E+00,0.450E+00,0.270E+00,0.138E+00,0.267E+00,
    2343             :       0.131E+00,0.633E+00,0.150E+01,0.629E+00,0.228E+01,0.548E+00, 0.275E+01,0.231E+00,0.231E+00,0.580E+00,0.108E+00,0.789E+00,
    2344             :       0.567E+00,0.670E+00,0.108E+00,0.100E+01,0.589E+00,0.414E+00, 0.511E+00,0.787E+00,0.290E+01,0.142E+01};
    2345             : 
    2346             :     static const double el[58]={
    2347             :       425.1, 156.7, 537.6, 223.6, 672.7,  42.9, 312.3, 830.1, 216.1,  83.6,1009.6, 422.5,
    2348             :       0.0, 144.5, 131.4,1210.7, 553.8, 225.0, 42.9,1432.9, 705.7,  22.3, 225.0, 422.5,
    2349             :       825.9, 319.2, 437.5, 738.4, 156.8, 825.8, 425.2, 144.4, 538.7, 675.8, 319.2, 672.7,
    2350             :       312.3,  42.9,  22.4, 983.7,  66.4, 675.8, 131.4, 983.6, 983.2, 223.6, 538.7,1558.1,
    2351             :       837.3, 983.2, 537.7,   0.0, 537.7,1236.6, 1024.2,1164.6, 216.1,  83.6};
    2352             : 
    2353             :     /*    static const double tr[58]={
    2354             :       0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,
    2355             :       1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
    2356             :       1,1,1,1,1,1}; */
    2357             : 
    2358             :     static const unsigned int ifin11[500]={
    2359             :        3,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   5,   5,   5,   5,   5,  5,   5,   6,   6,   6,   6,   6,   6,   6,   6,
    2360             :        7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    2361             :        7,   7,   8,   8,   8,   8,   9,   9,   9,   9,  9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    2362             :        9,   9,   9,   9,  10,  10,  10,  10,  10,  10, 10,  10,  10,  10,  10,  10,  10,  10,  10,  10, 10,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    2363             :       11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  12,  12,  13,  13,  13,  13,  13,
    2364             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2365             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2366             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  14,  14,  14,  14,  14,  14,  14,  14, 14,  15,  15,  15,  15,  15,  15,  15,  15,  15,
    2367             :       15,  15,  15,  15,  15,  15,  15,  15,  15,  15, 15,  15,  15,  15,  15,  15,  15,  15,  15,  16, 17,  17,  17,  17,  17,  17,  17,  17,  17,  17,
    2368             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2369             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2370             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2371             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  19,
    2372             :       19,  19,  19,  19,  19,  19,  19,  19,  19,  19, 19,  19,  19,  19,  19,  19,  19,  19,  19,  19, 19,  19,  19,  19,  20,  20,  20,  20,  20,  20,
    2373             :       20,  21,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  21,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22,
    2374             :       22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    2375             :       0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0};
    2376             : 
    2377             :     static const unsigned int ini11[500]={
    2378             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   2,   2,   3,   3,   3,   3,   3,  3,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    2379             :        4,   4,   4,   4,   4,   5,   5,   5,   5,   5,  5,   5,   6,   6,   6,   6,   6,   6,   6,   6,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    2380             :        7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   8,   8,   8,   8,   9,   9,   9,   9,
    2381             :        9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  9,   9,   9,   9,  10,  10,  10,  10,  10,  10,
    2382             :       10,  10,  10,  10,  10,  10,  10,  10,  10,  10, 10,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    2383             :       11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  12,  12,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2384             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2385             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2386             :       13,  13,  14,  14,  14,  14,  14,  14,  14,  14, 14,  15,  15,  15,  15,  15,  15,  15,  15,  15, 15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
    2387             :       15,  15,  15,  15,  15,  15,  15,  15,  15,  16, 17,  17,  17,  17,  17,  17,  17,  17,  17,  17, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2388             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2389             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2390             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2391             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  19, 19,  19,  19,  19,  19,  19,  19,  19,  19,  19,
    2392             :       19,  19,  19,  19,  19,  19,  19,  19,  19,  19, 19,  19,  19,  19,  20,  20,  20,  20,  20,  20, 20,  21,  21,  21,  21,  21,  21,  21,  21,  21,
    2393             :       21,  21,  21,  21,  21,  22,  22,  22,  22,  22, 22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    2394             :       0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0};
    2395             : 
    2396             :     static const unsigned int ifin21[500]={
    2397             :        2,   2,   3,   3,   3,   3,   3,   3,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   5,   5,   5,   5,   5,   5,   5,   6,
    2398             :        6,   6,   6,   6,   6,   6,   6,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    2399             :        7,   7,   7,   7,   7,   7,   7,   7,   7,   8,  8,   8,   8,   9,   9,   9,   9,   9,   9,   9,  9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    2400             :        9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  9,  10,  10,  10,  10,  10,  10,  10,  10,  10, 10,  10,  10,  10,  10,  10,  10,  10,  11,  11,
    2401             :       11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    2402             :       12,  12,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2403             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2404             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  14, 14,  14,  14,  14,  14,  14,  14,  14,  15,  15,
    2405             :       15,  15,  15,  15,  15,  15,  15,  15,  15,  15, 15,  15,  15,  15,  15,  15,  15,  15,  15,  15, 15,  15,  15,  15,  15,  15,  16,  17,  17,  17,
    2406             :       17,  17,  17,  17,  17,  17,  17,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2407             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2408             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2409             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2410             :       18,  18,  18,  18,  18,  18,  19,  19,  19,  19, 19,  19,  19,  19,  19,  19,  19,  19,  19,  19, 19,  19,  19,  19,  19,  19,  19,  19,  19,  19,
    2411             :       19,  20,  20,  20,  20,  20,  20,  20,  21,  21, 21,  21,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  22,  22,  22,  22,  22,  22,  22,  22,
    2412             :       22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,   0,   0,   0,   0,   0,   0,   0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    2413             :       0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0};
    2414             : 
    2415             :     static const unsigned int ini21[500]={
    2416             :        1,   1,   1,   1,   1,   1,   2,   2,   3,   3,  3,   3,   3,   3,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   4,   4,   5,   5,
    2417             :        5,   5,   5,   5,   5,   6,   6,   6,   6,   6,  6,   6,   6,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    2418             :        7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   8,   8,   8,   8,   9,  9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    2419             :        9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  9,   9,   9,   9,   9,   9,   9,  10,  10,  10, 10,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    2420             :       10,  10,  10,  10,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    2421             :       11,  11,  11,  11,  11,  11,  12,  12,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2422             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2423             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  14,  14,  14,  14,  14,
    2424             :       14,  14,  14,  14,  15,  15,  15,  15,  15,  15, 15,  15,  15,  15,  15,  15,  15,  15,  15,  15, 15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
    2425             :       15,  15,  16,  17,  17,  17,  17,  17,  17,  17, 17,  17,  17,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2426             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2427             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2428             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2429             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  19,  19,  19,  19,  19,  19,  19,  19, 19,  19,  19,  19,  19,  19,  19,  19,  19,  19,
    2430             :       19,  19,  19,  19,  19,  19,  19,  20,  20,  20, 20,  20,  20,  20,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  21,  21,  21,  21,  22,  22,
    2431             :       22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,  22,  22,   0,   0,   0,   0,   0,   0,   0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    2432             :       0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0};
    2433             : 
    2434             :     static const unsigned int ifin31[500]={
    2435             :        1,   1,   2,   2,   3,   3,   3,   3,   3,   3,  4,   4,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   5,   5,   5,   5,   5,   5,
    2436             :        5,   6,   6,   6,   6,   6,   6,   6,   6,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    2437             :        7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   8,   8,   8,   8,   9,   9,   9,   9,   9,  9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    2438             :        9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  9,   9,   9,  10,  10,  10,  10,  10,  10,  10, 10,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    2439             :       11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    2440             :       11,  11,  12,  12,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2441             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2442             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2443             :       15,  15,  15,  15,  15,  15,  15,  15,  15,  15, 15,  15,  15,  15,  15,  15,  15,  15,  15,  15, 15,  15,  15,  15,  15,  15,  15,  15,  16,  17,
    2444             :       17,  17,  17,  17,  17,  17,  17,  17,  17,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2445             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2446             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2447             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2448             :       18,  18,  18,  18,  18,  18,  18,  18,  19,  19, 19,  19,  19,  19,  19,  19,  19,  19,  19,  19, 19,  19,  19,  19,  19,  19,  19,  19,  19,  19,
    2449             :       19,  19,  19,  20,  20,  20,  20,  20,  20,  20, 21,  21,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  22,  22,  22,  22,  22,  22,
    2450             :       22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,   0,   0,   0,   0,   0,   0,   0,   0,   0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    2451             :       0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0};
    2452             : 
    2453             :     static const unsigned int ini31[500]={
    2454             :        1,   1,   1,   1,   2,   2,   3,   3,   3,   3,  3,   3,   4,   4,   4,   4,   4,   4,   4,   4,  4,   4,   4,   4,   4,   4,   5,   5,   5,   5,
    2455             :        5,   5,   5,   6,   6,   6,   6,   6,   6,   6,  6,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   7,   7,   7,   7,   7,   7,   7,
    2456             :        7,   7,   7,   7,   7,   7,   7,   7,   7,   7,  7,   7,   7,   8,   8,   8,   8,   9,   9,   9,  9,   9,   9,   9,   9,   9,   9,   9,   9,   9,
    2457             :        9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  9,   9,   9,   9,   9,  10,  10,  10,  10,  10, 10,  10,  10,  10,  10,  10,  10,  10,  10,  10,
    2458             :       10,  10,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11, 11,  11,  11,  11,  11,  11,  11,  11,  11,  11,
    2459             :       11,  11,  11,  11,  12,  12,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2460             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2461             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  13,  13,  13,  13,  13,  13,  13, 13,  13,  13,  14,  14,  14,  14,  14,  14,  14,
    2462             :       14,  14,  15,  15,  15,  15,  15,  15,  15,  15, 15,  15,  15,  15,  15,  15,  15,  15,  15,  15, 15,  15,  15,  15,  15,  15,  15,  15,  15,  15,
    2463             :       16,  17,  17,  17,  17,  17,  17,  17,  17,  17, 17,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2464             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2465             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2466             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 18,  18,  18,  18,  18,  18,  18,  18,  18,  18,
    2467             :       18,  18,  18,  18,  18,  18,  18,  18,  18,  18, 19,  19,  19,  19,  19,  19,  19,  19,  19,  19, 19,  19,  19,  19,  19,  19,  19,  19,  19,  19,
    2468             :       19,  19,  19,  19,  19,  20,  20,  20,  20,  20, 20,  20,  21,  21,  21,  21,  21,  21,  21,  21, 21,  21,  21,  21,  21,  21,  22,  22,  22,  22,
    2469             :       22,  22,  22,  22,  22,  22,  22,  22,  22,  22, 22,   0,   0,   0,   0,   0,   0,   0,   0,   0, 0,   0,   0,   0,   0,   0,   0,   0,   0,   0,
    2470             :       0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   0};
    2471             : 
    2472             :     static const unsigned int ifin12[500]={
    2473             :       24,  24,  24,  24,  24,  24,  24,  24,  24,  24, 24,  24,  24,  24,  24,  24,  24,  24,  24,  24, 24,  25,  25,  25,  25,  25,  25,  25,  25,  25,
    2474             :       25,  25,  25,  25,  26,  26,  26,  26,  26,  26, 26,  26,  26,  26,  26,  26,  26,  26,  26,  26, 27,  27,  27,  27,  27,  27,  27,  27,  27,  28,
    2475             :       28,  28,  28,  28,  28,  28,  28,  28,  28,  28, 28,  28,  28,  28,  28,  28,  28,  28,  28,  28, 28,  28,  28,  28,  28,  28,  28,  28,  28,  28,
    2476             :       28,  28,  28,  28,  29,  29,  29,  29,  29,  29, 29,  29,  29,  30,  30,  30,  30,  30,  30,  30, 30,  31,  31,  31,  31,  31,  31,  31,  32,  32,
    2477             :       32,  32,  32,  33,  33,  33,  33,  33,  33,  33, 33,  33,  33,  33,  33,  33,  33,  33,  33,  33, 33,  33,  33,  33,  33,  33,  33,  34,  34,  35,
    2478             :       35,  35,  35,  35,  35,  35,  35,  35,  36,  36, 36,  36,  36,  36,  36,  36,  36,  36,  36,  36, 36,  36,  36,  36,  36,  36,  36,  36,  36,  36,
    2479             :       36,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37,
    2480             :       37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 38,  38,  38,  38,  38,  39,  39,  39,  39,  39,
    2481             :       39,  39,  39,  39,  39,  40,  40,  40,  40,  40, 40,  40,  40,  40,  40,  40,  40,  40,  40,  40, 41,  41,  41,  41,  41,  41,  41,  41,  41,  41,
    2482             :       41,  41,  41,  41,  41,  41,  41,  41,  41,  41, 41,  41,  41,  41,  41,  41,  41,  41,  41,  41, 42,  42,  42,  42,  42,  42,  42,  42,  42,  42,
    2483             :       42,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43,
    2484             :       43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43,
    2485             :       43,  43,  43,  43,  43,  43,  43,  44,  44,  44, 44,  44,  44,  45,  45,  45,  45,  46,  46,  46, 46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
    2486             :       46,  46,  46,  46,  46,  46,  46,  46,  46,  46, 46,  46,  46,  46,  47,  47,  47,  47,  48,  50, 50,  50,  50,  50,  50,  50,  50,  51,  51,  51,
    2487             :       52,  52,  52,  52,  52,  52,  52,  52,  52,  52, 52,  52,  52,  52,  52,  52,  52,  53,  54,  54, 54,  54,  55,  55,  55,  55,  55,  55,  55,  55,
    2488             :       55,  55,  55,  55,  55,  55,  55,  55,  55,  56, 56,  56,  56,  56,  56,  56,  56,  56,  56,  57, 57,  57,  57,  57,  57,  57,  57,  57,  57,  57,
    2489             :       57,  57,  58,  58,  58,  58,  58,  58,   0,   0,  0,   0,   0,   0,   0,   0,   0,   0,   0,   0,   };
    2490             : 
    2491             :     static const unsigned int ini12[500]={
    2492             :       23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
    2493             :       24,  24,  24,  24,  24,  24,  24,  24,  24,  24, 24,  25,  25,  25,  25,  25,  25,  25,  25,  25, 25,  25,  25,  25,  26,  26,  26,  26,  26,  26,
    2494             :       26,  26,  26,  26,  26,  26,  26,  26,  26,  26, 27,  27,  27,  27,  27,  27,  27,  27,  27,  28, 28,  28,  28,  28,  28,  28,  28,  28,  28,  28,
    2495             :       28,  28,  28,  28,  28,  28,  28,  28,  28,  28, 28,  28,  28,  28,  28,  28,  28,  28,  28,  28, 28,  28,  28,  28,  29,  29,  29,  29,  29,  29,
    2496             :       29,  29,  29,  30,  30,  30,  30,  30,  30,  30, 30,  31,  31,  31,  31,  31,  31,  31,  32,  32, 32,  32,  32,  33,  33,  33,  33,  33,  33,  33,
    2497             :       33,  33,  33,  33,  33,  33,  33,  33,  33,  33, 33,  33,  33,  33,  33,  33,  33,  34,  34,  35, 35,  35,  35,  35,  35,  35,  35,  35,  36,  36,
    2498             :       36,  36,  36,  36,  36,  36,  36,  36,  36,  36, 36,  36,  36,  36,  36,  36,  36,  36,  36,  36, 36,  37,  37,  37,  37,  37,  37,  37,  37,  37,
    2499             :       37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37,
    2500             :       37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 38,  38,  38,  38,  38,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  40,  40,  40,  40,  40,
    2501             :       40,  40,  40,  40,  40,  40,  40,  40,  40,  40, 41,  41,  41,  41,  41,  41,  41,  41,  41,  41, 41,  41,  41,  41,  41,  41,  41,  41,  41,  41,
    2502             :       41,  41,  41,  41,  41,  41,  41,  41,  41,  41, 42,  42,  42,  42,  42,  42,  42,  42,  42,  42, 42,  43,  43,  43,  43,  43,  43,  43,  43,  43,
    2503             :       43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43,
    2504             :       43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  44,  44,  44,
    2505             :       44,  44,  44,  45,  45,  45,  45,  46,  46,  46, 46,  46,  46,  46,  46,  46,  46,  46,  46,  46, 46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
    2506             :       46,  46,  46,  46,  47,  47,  47,  47,  48,  50, 50,  50,  50,  50,  50,  50,  50,  51,  51,  51, 52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
    2507             :       52,  52,  52,  52,  52,  52,  52,  53,  54,  54, 54,  54,  55,  55,  55,  55,  55,  55,  55,  55, 55,  55,  55,  55,  55,  55,  55,  55,  55,  56,
    2508             :       56,  56,  56,  56,  56,  56,  56,  56,  56,  57, 57,  57,  57,  57,  57,  57,  57,  57,  57,  57};
    2509             : 
    2510             : 
    2511             :     static const unsigned int ifin22[500]={
    2512             :       23,  23,  23,  23,  23,  23,  23,  24,  24,  24, 24,  24,  24,  24,  24,  24,  24,  24,  24,  24, 24,  24,  24,  24,  24,  24,  24,  24,  25,  25,
    2513             :       25,  25,  25,  25,  25,  25,  25,  25,  25,  25, 25,  26,  26,  26,  26,  26,  26,  26,  26,  26, 26,  26,  26,  26,  26,  26,  26,  27,  27,  27,
    2514             :       27,  27,  27,  27,  27,  27,  28,  28,  28,  28, 28,  28,  28,  28,  28,  28,  28,  28,  28,  28, 28,  28,  28,  28,  28,  28,  28,  28,  28,  28,
    2515             :       28,  28,  28,  28,  28,  28,  28,  28,  28,  28, 28,  29,  29,  29,  29,  29,  29,  29,  29,  29, 30,  30,  30,  30,  30,  30,  30,  30,  31,  31,
    2516             :       31,  31,  31,  31,  31,  32,  32,  32,  32,  32, 33,  33,  33,  33,  33,  33,  33,  33,  33,  33, 33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
    2517             :       33,  33,  33,  33,  34,  34,  35,  35,  35,  35, 35,  35,  35,  35,  35,  36,  36,  36,  36,  36, 36,  36,  36,  36,  36,  36,  36,  36,  36,  36,
    2518             :       36,  36,  36,  36,  36,  36,  36,  36,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37,
    2519             :       37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  38,  38,  38,
    2520             :       38,  38,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  40,  40,  40,  40,  40,  40,  40,  40, 40,  40,  40,  40,  40,  40,  40,  41,  41,  41,
    2521             :       41,  41,  41,  41,  41,  41,  41,  41,  41,  41, 41,  41,  41,  41,  41,  41,  41,  41,  41,  41, 41,  41,  41,  41,  41,  41,  41,  42,  42,  42,
    2522             :       42,  42,  42,  42,  42,  42,  42,  42,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43,
    2523             :       43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43,
    2524             :       43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  44,  44,  44,  44,  44,  44, 45,  45,  45,  45,  46,  46,  46,  46,  46,  46,
    2525             :       46,  46,  46,  46,  46,  46,  46,  46,  46,  46, 46,  46,  46,  46,  46,  46,  46,  46,  46,  46, 46,  47,  47,  47,  47,  48,  50,  50,  50,  50,
    2526             :       50,  50,  50,  50,  51,  51,  51,  52,  52,  52, 52,  52,  52,  52,  52,  52,  52,  52,  52,  52, 52,  52,  52,  52,  53,  54,  54,  54,  54,  55,
    2527             :       55,  55,  55,  55,  55,  55,  55,  55,  55,  55, 55,  55,  55,  55,  55,  55,  56,  56,  56,  56, 56,  56,  56,  56,  56,  56,  57,  57,  57,  57,
    2528             :       57,  57,  57,  57,  57,  57,  57,  57,  57,  58, 58,  58,  58,  58,  58,   0,   0,   0,   0,   0};
    2529             : 
    2530             :     static const unsigned int ini22[500]={
    2531             :       23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  23,  23,  24,  24,  24,  24,  24,  24,  24, 24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
    2532             :       24,  24,  24,  24,  25,  25,  25,  25,  25,  25, 25,  25,  25,  25,  25,  25,  25,  26,  26,  26, 26,  26,  26,  26,  26,  26,  26,  26,  26,  26,
    2533             :       26,  26,  26,  27,  27,  27,  27,  27,  27,  27, 27,  27,  28,  28,  28,  28,  28,  28,  28,  28, 28,  28,  28,  28,  28,  28,  28,  28,  28,  28,
    2534             :       28,  28,  28,  28,  28,  28,  28,  28,  28,  28, 28,  28,  28,  28,  28,  28,  28,  29,  29,  29, 29,  29,  29,  29,  29,  29,  30,  30,  30,  30,
    2535             :       30,  30,  30,  30,  31,  31,  31,  31,  31,  31, 31,  32,  32,  32,  32,  32,  33,  33,  33,  33, 33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
    2536             :       33,  33,  33,  33,  33,  33,  33,  33,  33,  33, 34,  34,  35,  35,  35,  35,  35,  35,  35,  35, 35,  36,  36,  36,  36,  36,  36,  36,  36,  36,
    2537             :       36,  36,  36,  36,  36,  36,  36,  36,  36,  36, 36,  36,  36,  36,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37,
    2538             :       37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37,
    2539             :       37,  37,  37,  38,  38,  38,  38,  38,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  40,  40, 40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
    2540             :       40,  40,  40,  41,  41,  41,  41,  41,  41,  41, 41,  41,  41,  41,  41,  41,  41,  41,  41,  41, 41,  41,  41,  41,  41,  41,  41,  41,  41,  41,
    2541             :       41,  41,  41,  42,  42,  42,  42,  42,  42,  42, 42,  42,  42,  42,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43,
    2542             :       43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43,
    2543             :       43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 44,  44,  44,  44,  44,  44,  45,  45,  45,  45,
    2544             :       46,  46,  46,  46,  46,  46,  46,  46,  46,  46, 46,  46,  46,  46,  46,  46,  46,  46,  46,  46, 46,  46,  46,  46,  46,  46,  46,  47,  47,  47,
    2545             :       47,  48,  50,  50,  50,  50,  50,  50,  50,  50, 51,  51,  51,  52,  52,  52,  52,  52,  52,  52, 52,  52,  52,  52,  52,  52,  52,  52,  52,  52,
    2546             :       53,  54,  54,  54,  54,  55,  55,  55,  55,  55, 55,  55,  55,  55,  55,  55,  55,  55,  55,  55, 55,  55,  56,  56,  56,  56,  56,  56,  56,  56,
    2547             :       56,  56,  57,  57,  57,  57,  57,  57,  57,  57, 57,  57,  57,  57,  57,  58,  58,  58,  58,  58};
    2548             : 
    2549             :     static const unsigned int ifin32[500]={
    2550             :       23,  23,  23,  23,  23,  23,  23,  23,  23,  24, 24,  24,  24,  24,  24,  24,  24,  24,  24,  24, 24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
    2551             :       25,  25,  25,  25,  25,  25,  25,  25,  25,  25, 25,  25,  25,  26,  26,  26,  26,  26,  26,  26, 26,  26,  26,  26,  26,  26,  26,  26,  26,  27,
    2552             :       27,  27,  27,  27,  27,  27,  27,  27,  28,  28, 28,  28,  28,  28,  28,  28,  28,  28,  28,  28, 28,  28,  28,  28,  28,  28,  28,  28,  28,  28,
    2553             :       28,  28,  28,  28,  28,  28,  28,  28,  28,  28, 28,  28,  28,  29,  29,  29,  29,  29,  29,  29, 29,  29,  30,  30,  30,  30,  30,  30,  30,  30,
    2554             :       31,  31,  31,  31,  31,  31,  31,  32,  32,  32, 32,  32,  33,  33,  33,  33,  33,  33,  33,  33, 33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
    2555             :       33,  33,  33,  33,  33,  33,  34,  34,  35,  35, 35,  35,  35,  35,  35,  35,  35,  36,  36,  36, 36,  36,  36,  36,  36,  36,  36,  36,  36,  36,
    2556             :       36,  36,  36,  36,  36,  36,  36,  36,  36,  36, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37,
    2557             :       37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  38,
    2558             :       38,  38,  38,  38,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  40,  40,  40,  40,  40,  40, 40,  40,  40,  40,  40,  40,  40,  40,  40,  41,
    2559             :       41,  41,  41,  41,  41,  41,  41,  41,  41,  41, 41,  41,  41,  41,  41,  41,  41,  41,  41,  41, 41,  41,  41,  41,  41,  41,  41,  41,  41,  42,
    2560             :       42,  42,  42,  42,  42,  42,  42,  42,  42,  42, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43,
    2561             :       43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43,
    2562             :       43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  44,  44,  44,  44, 44,  44,  45,  45,  45,  45,  46,  46,  46,  46,
    2563             :       46,  46,  46,  46,  46,  46,  46,  46,  46,  46, 46,  46,  46,  46,  46,  46,  46,  46,  46,  46, 46,  46,  46,  47,  47,  47,  47,  48,  50,  50,
    2564             :       50,  50,  50,  50,  50,  50,  51,  51,  51,  52, 52,  52,  52,  52,  52,  52,  52,  52,  52,  52, 52,  52,  52,  52,  52,  52,  53,  54,  54,  54,
    2565             :       54,  55,  55,  55,  55,  55,  55,  55,  55,  55, 55,  55,  55,  55,  55,  55,  55,  55,  56,  56, 56,  56,  56,  56,  56,  56,  56,  56,  57,  57,
    2566             :       57,  57,  57,  57,  57,  57,  57,  57,  57,  57, 57,  58,  58,  58,  58,  58,  58,   0,   0,   0};
    2567             : 
    2568             :     static const unsigned int ini32[500]={
    2569             :       23,  23,  23,  23,  23,  23,  23,  23,  23,  23, 23,  24,  24,  24,  24,  24,  24,  24,  24,  24, 24,  24,  24,  24,  24,  24,  24,  24,  24,  24,
    2570             :       24,  24,  25,  25,  25,  25,  25,  25,  25,  25, 25,  25,  25,  25,  25,  26,  26,  26,  26,  26, 26,  26,  26,  26,  26,  26,  26,  26,  26,  26,
    2571             :       26,  27,  27,  27,  27,  27,  27,  27,  27,  27, 28,  28,  28,  28,  28,  28,  28,  28,  28,  28, 28,  28,  28,  28,  28,  28,  28,  28,  28,  28,
    2572             :       28,  28,  28,  28,  28,  28,  28,  28,  28,  28, 28,  28,  28,  28,  28,  29,  29,  29,  29,  29, 29,  29,  29,  29,  30,  30,  30,  30,  30,  30,
    2573             :       30,  30,  31,  31,  31,  31,  31,  31,  31,  32, 32,  32,  32,  32,  33,  33,  33,  33,  33,  33, 33,  33,  33,  33,  33,  33,  33,  33,  33,  33,
    2574             :       33,  33,  33,  33,  33,  33,  33,  33,  34,  34, 35,  35,  35,  35,  35,  35,  35,  35,  35,  36, 36,  36,  36,  36,  36,  36,  36,  36,  36,  36,
    2575             :       36,  36,  36,  36,  36,  36,  36,  36,  36,  36, 36,  36,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37,
    2576             :       37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37, 37,  37,  37,  37,  37,  37,  37,  37,  37,  37,
    2577             :       37,  38,  38,  38,  38,  38,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  40,  40,  40,  40, 40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
    2578             :       40,  41,  41,  41,  41,  41,  41,  41,  41,  41, 41,  41,  41,  41,  41,  41,  41,  41,  41,  41, 41,  41,  41,  41,  41,  41,  41,  41,  41,  41,
    2579             :       41,  42,  42,  42,  42,  42,  42,  42,  42,  42, 42,  42,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43,
    2580             :       43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43,
    2581             :       43,  43,  43,  43,  43,  43,  43,  43,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  44,  44, 44,  44,  44,  44,  45,  45,  45,  45,  46,  46,
    2582             :       46,  46,  46,  46,  46,  46,  46,  46,  46,  46, 46,  46,  46,  46,  46,  46,  46,  46,  46,  46, 46,  46,  46,  46,  46,  47,  47,  47,  47,  48,
    2583             :       50,  50,  50,  50,  50,  50,  50,  50,  51,  51, 51,  52,  52,  52,  52,  52,  52,  52,  52,  52, 52,  52,  52,  52,  52,  52,  52,  52,  53,  54,
    2584             :       54,  54,  54,  55,  55,  55,  55,  55,  55,  55, 55,  55,  55,  55,  55,  55,  55,  55,  55,  55, 56,  56,  56,  56,  56,  56,  56,  56,  56,  56,
    2585             :       57,  57,  57,  57,  57,  57,  57,  57,  57,  57, 57,  57,  57,  58,  58,  58,  58,  58,  58,   0};
    2586             : 
    2587             :     static const double pi=3.141592654;
    2588             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
    2589             :     static const double mua=0.657;  //Debyes
    2590             :     static const double mub=1.732;  //Debyes
    2591             : 
    2592             :     //double q=0.028263028*pow(tt,1.5);   // Q(300 K)=179.639   JPL Line Catalog
    2593    10668574 :     double q=0.028263028*tt*sqrt(tt);   // Q(300 K)=179.639   JPL Line Catalog
    2594             :     unsigned int vp;
    2595             :     unsigned int ini1, ini2;
    2596             :     unsigned int ifin1, ifin2;
    2597    10668574 :     std::complex<double>  lshape;
    2598    10668574 :     std::complex<double>  lshapeacum;
    2599             : 
    2600             : 
    2601    10668574 :     if(nu>999.9){
    2602             : 
    2603           0 :       return std::complex<double> (0.0,0.0);
    2604             : 
    2605             :     }else{
    2606             : 
    2607    10668574 :       vp=vpIndex(nu);
    2608             : 
    2609    10668574 :       if(pp<25){ ini1=ini31[vp]; ifin1=ifin31[vp]; ini2=ini32[vp]; ifin2=ifin32[vp]; }else{ if(pp<300){ ini1=ini21[vp]; ifin1=ifin21[vp]; ini2=ini22[vp]; ifin2=ifin22[vp]; }else{ ini1=ini11[vp]; ifin1=ifin11[vp]; ini2=ini12[vp]; ifin2=ifin12[vp]; } }
    2610    10668574 :       if(ini1>0){ini1=ini1-1;}else{ifin1=0;}
    2611    10668574 :       if(ifin1>0){ifin1=ifin1-1;}else{ifin1=0;}
    2612    10668574 :       if(ini2>0){ini2=ini2-1;}else{ifin2=0;}
    2613    10668574 :       if(ifin2>0){ifin2=ifin2-1;}else{ifin2=0;}
    2614             : 
    2615             : 
    2616    10668574 :       std::complex<double>  lshapeacum1(0.0,0.0);
    2617             : 
    2618    10668574 :       if(ifin1==0||ifin1<ini1){
    2619             : 
    2620             : 
    2621             :       }else{
    2622             : 
    2623    29814785 :         for(unsigned int i=ini1; i<ifin1+1; i++){
    2624             : 
    2625    19196611 :           lshape=lineshape(nu,fre[i],0.003*pp*pow((300/tt),0.7),0.0);
    2626    19196611 :           lshape=lshape*flin[i]*exp(-el[i]/tt)*(1-exp(-0.047992745509*fre[i]/tt));
    2627    19196611 :           lshapeacum1=lshapeacum1+lshape;
    2628             : 
    2629             :         }
    2630             : 
    2631    10618174 :         lshapeacum1=lshapeacum1*(nu/pi)*(picube8div3hcesu*pow(mua,2)/q); // imaginary part: absorption coefficient in cm^2
    2632             :                                                                             // real part: delay in rad*cm^2
    2633             :       }
    2634             : 
    2635    10668574 :       std::complex<double>  lshapeacum2(0.0,0.0);
    2636             : 
    2637    10668574 :       if(ifin2==0||ifin2<ini2){
    2638             : 
    2639             : 
    2640             :       }else{
    2641             : 
    2642    26051591 :         for(unsigned int i=ini2; i<ifin2+1; i++){
    2643             : 
    2644    15383017 :           lshape=lineshape(nu,fre[i],0.003*pp,0.0);
    2645    15383017 :           lshape=lshape*flin[i]*exp(-el[i]/tt)*(1-exp(-0.047992745509*fre[i]/tt));
    2646    15383017 :           lshapeacum2=lshapeacum2+lshape;
    2647             : 
    2648             :         }
    2649             : 
    2650    10668574 :         lshapeacum2=lshapeacum2*(nu/pi)*(picube8div3hcesu*pow(mub,2)/q); // imaginary part: absorption coefficient in cm^2
    2651             :                                                                             // real part: delay in rad*cm^2
    2652             :       }
    2653             : 
    2654    10668574 :       return (lshapeacum1+lshapeacum2)*1e-4*0.25;    // to give it in SI units (  rad m^2 , m^2 )  (20181121: 0.25 is an empirical factor to fit FTS Data from Mauna Kea)
    2655             : 
    2656             : 
    2657             :     }
    2658             : 
    2659             :   }
    2660             : 
    2661             : 
    2662             :   //////////////////////// Opacity Source Number: 13 /////////////////////////////
    2663             : 
    2664    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_hh18o(double tt, double pp, double eh2o, double nu){
    2665             : 
    2666             : 
    2667             :     static const double fre[15]={
    2668             :       5.624962,203.407381,322.464764,390.607954, 525.168274,520.138510,531.577390,489.054219,
    2669             :       554.860949,537.337649,547.676612,692.079249, 745.320024,970.300490,994.634718};
    2670             : 
    2671             :     static const double gl[15]={
    2672             :       3.,1.,1.,3.,1.,3.,3.,3.,1.,1.,3.,3.,1.,1.,1.};
    2673             : 
    2674             :     static const double flin[15]={
    2675             :       .053,.100,.086,.119,.090,.103,.090, .132,.103,.119,1.5,.123,2.060,.165,.764};
    2676             : 
    2677             :      static const double el[15]={
    2678             :      640.5,203.7,467.9,322.1,1512.3, 1080.7,1512.6,429.7,1082.3,720.3, 60.5,727.7,136.4,452.5,100.6};
    2679             : 
    2680             :     static const double dv0[15]={
    2681             :       2.85,2.68,3.03,3.19,1.5,1.94,1.51, 2.47,1.89,2.07,3.33,2.28,3.13,2.59,3.09};
    2682             : 
    2683             :     static const double dvlm[15]={
    2684             :       13.68,14.49,15.21,15.84,7.94,10.44,8.13, 14.24,10.56,11.95,14.66,12.78,13.93,14.06,15.20};
    2685             : 
    2686             :     static const double temp_exp[15]={
    2687             :       .626,.649,.619,.63,.29,.36,.332,.51, .380,.38,.645,.6,.69,.676,.66};
    2688             : 
    2689             :     static const unsigned int ifin1[500]={
    2690             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2691             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2692             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2693             :        2,   2,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2694             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2695             :        3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    2696             :        4,   4,   4,   4,   4,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2697             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2698             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   7,   7,   7,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  12,  12,  12,
    2699             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2700             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2701             :       12,  12,  12,  12,  12,  12,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2702             :       13,  13,  13,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2703             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2704             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2705             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  15,  15,  15,  15,  15,
    2706             :       15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15};
    2707             : 
    2708             :     static const unsigned int ini1[500]={
    2709             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2710             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2711             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2712             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   3,   3,   3,   3,   3,   3,
    2713             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2714             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    2715             :        4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   5,   5,   5,   5,   5,
    2716             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2717             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2718             :        5,   5,   5,   7,   7,   7,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2719             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2720             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  13,  13,  13,  13,
    2721             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  14,  14,  14,  14,  14,  14,  14,
    2722             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2723             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2724             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2725             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  15,  15,  15,  15,  15};
    2726             : 
    2727             :     static const unsigned int ifin2[500]={
    2728             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2729             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2730             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2731             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2732             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2733             :        3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    2734             :        4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2735             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2736             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   7,   7,   7,   9,   9,   9,   9,   9,   9,   9,
    2737             :        9,   9,   9,   9,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2738             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2739             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2740             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2741             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2742             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2743             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2744             :       14,  14,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15};
    2745             : 
    2746             :     static const unsigned int ini2[500]={
    2747             :        1,   1,   1,   1,   1,   1,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2748             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2749             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2750             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2751             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2752             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    2753             :        4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2754             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2755             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   7,   7,   7,   9,
    2756             :        9,   9,   9,   9,   9,   9,   9,   9,   9,   9,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2757             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2758             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2759             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2760             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2761             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2762             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2763             :       14,  14,  14,  14,  14,  14,  14,  14,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15};
    2764             : 
    2765             :     static const unsigned int ifin3[500]={
    2766             :        1,   1,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2767             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2768             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2769             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2770             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2771             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    2772             :        4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2773             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2774             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   7,   7,   7,   9,   9,   9,   9,   9,
    2775             :        9,   9,   9,   9,   9,   9,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2776             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2777             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2778             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2779             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2780             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2781             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2782             :       14,  14,  14,  14,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15};
    2783             : 
    2784             :     static const unsigned int ini3[500]={
    2785             :        1,   1,   1,   1,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2786             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2787             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,
    2788             :        2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   2,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2789             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,
    2790             :        3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   3,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,
    2791             :        4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   4,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2792             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,
    2793             :        5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   5,   7,   7,   7,   9,   9,   9,
    2794             :        9,   9,   9,   9,   9,   9,   9,   9,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2795             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,
    2796             :       12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  12,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,
    2797             :       13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  13,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2798             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2799             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2800             :       14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,  14,
    2801             :       14,  14,  14,  14,  14,  14,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15,  15};
    2802             : 
    2803             : 
    2804             : 
    2805             :     static const double pi=3.141592654;
    2806             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
    2807             :     static const double mu=1.855;  //Debyes
    2808             : 
    2809             :     //double q=0.034571542*pow(tt,1.5);   // Q(300 K)=179.639   JPL Line Catalog
    2810    10668574 :     double q=0.034571542*tt*sqrt(tt);   // Q(300 K)=179.639   JPL Line Catalog
    2811             :     unsigned int vp;
    2812             :     unsigned int ini;
    2813             :     unsigned int ifin;
    2814    10668574 :     std::complex<double>  lshape;
    2815    10668574 :     std::complex<double>  lshapeacum;
    2816             : 
    2817             : 
    2818    10668574 :     if(nu>999.9){
    2819             : 
    2820           0 :       return std::complex<double> (0.0,0.0);
    2821             : 
    2822             :     }else{
    2823             : 
    2824    10668574 :       vp=vpIndex(nu);
    2825             : 
    2826    10668574 :       if(pp<25){ ini=ini3[vp]; ifin=ifin3[vp]; }else{ if(pp<300){ ini=ini2[vp]; ifin=ifin2[vp]; }else{ ini=ini1[vp]; ifin=ifin1[vp]; } }
    2827    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
    2828    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
    2829             : 
    2830    10668574 :       if(ifin==0||ifin<ini){
    2831             : 
    2832       50400 :         return std::complex<double> (0.0,0.0);
    2833             : 
    2834             :       }else{
    2835             : 
    2836    23482453 :         for(unsigned int i=ini; i<ifin+1; i++){
    2837             : 
    2838    12864279 :           lshape=lineshape(nu,fre[i],linebroadening_hh18o_hh17o(tt,pp,eh2o,dv0[i],dvlm[i],temp_exp[i]),0.0);
    2839    12864279 :           lshape=lshape*flin[i]*gl[i]*exp(-el[i]/tt)*(1-exp(-0.047992745509*fre[i]/tt));
    2840    12864279 :           lshapeacum=lshapeacum+lshape;
    2841             : 
    2842             :         }
    2843             : 
    2844    10618174 :         lshapeacum=lshapeacum*(nu/pi)*(picube8div3hcesu*pow(mu,2)/q); // imaginary part: absorption coefficient in cm^2
    2845             :                                                                             // real part: delay in rad*cm^2
    2846             : 
    2847    10618174 :         return lshapeacum*1e-4;    // to give it in SI units (  rad m^2 , m^2 )
    2848             : 
    2849             :       }
    2850             : 
    2851             :     }
    2852             : 
    2853             :   }
    2854             : 
    2855             :   //////////////////////// Opacity Source Number: 2 //////////////////////////////
    2856             : 
    2857    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_16o16o_vib(double tt, double pp, double eh2o, double nu){
    2858             : 
    2859             :     static const double fre[6]={363.717932,420.232268,482.757899,706.772490,765.423334,825.814211};
    2860             : 
    2861             :     static const double flin[6]={.04800, .39245, .12804,  .04000,  .21283, .06343};
    2862             : 
    2863             :     static const double el[6]={5.70,2.95,2.95,25.97,23.18,23.18};
    2864             : 
    2865             :     static const double pi=3.141592654;
    2866             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
    2867             :     static const double mu=0.0186;  //Debyes (M1 Transitions)
    2868             : 
    2869    10668574 :     double q=0.72923*tt;
    2870    10668574 :     std::complex<double>  lshape;
    2871    10668574 :     std::complex<double>  lshapeacum;
    2872             : 
    2873    10668574 :     double dv0=2.0;
    2874             : 
    2875    10668574 :     if(nu>999.9){return std::complex<double> (0.0,0.0);}
    2876             : 
    2877    74680018 :     for(unsigned int i=0; i<6; i++){
    2878             : 
    2879    64011444 :       lshape=lineshape(nu,fre[i], linebroadening_o2(fre[i],tt,pp,eh2o,32.0,dv0,0.2),0.0);
    2880    64011444 :       lshape=lshape*flin[i]*exp(-el[i]/tt)*(1-exp(-0.047992745509*fre[i]/tt));
    2881    64011444 :       lshapeacum=lshapeacum+lshape;
    2882             : 
    2883             :     }
    2884             : 
    2885    10668574 :     lshapeacum=lshapeacum*(nu/pi)*(picube8div3hcesu*pow(mu,2)/q); // imaginary part: absorption coefficient in cm^2
    2886             :                                                                         // real part: delay in rad*cm^2
    2887             : 
    2888    10668574 :     return lshapeacum*1e-4;    // to give it in SI units (  rad m^2 , m^2 )
    2889             : 
    2890             :   }
    2891             : 
    2892             :   //////////////////////// Opacity Source Number: 4 //////////////////////////////
    2893             : 
    2894    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_16o17o(double tt, double pp, double eh2o, double nu){
    2895             : 
    2896             :     static const double fre[14]={
    2897             :       239.89920,304.81682,412.53217,474.78769,356.03171,582.32937,
    2898             :       643.33256,524.57590,751.19854,811.40203,692.64446,919.63186,
    2899             :       979.23889,860.48018};
    2900             : 
    2901             :     static const double flin[14]={
    2902             :       .738E+00, .261E+00, .416E+00, .136E+00, .510E-01, .292E+00,
    2903             :       .900E-01, .480E-01, .226E+00, .670E-01, .420E-01, .184E+00,
    2904             :       .530E-01, .370E-01};
    2905             : 
    2906             :     static const double el[14]={
    2907             :       .000,     .000,    3.900,    3.900,    6.600,   11.900,
    2908             :       11.900,   14.600,   23.900,   23.900,   26.700,   39.900,
    2909             :       39.900,   42.800};
    2910             : 
    2911             : 
    2912             :     static const double pi=3.141592654;
    2913             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
    2914             :     static const double mu=0.0186;  //Debyes (M1 Transitions)
    2915             : 
    2916    10668574 :     double q=1.536568889*tt;
    2917    10668574 :     std::complex<double>  lshape;
    2918    10668574 :     std::complex<double>  lshapeacum;
    2919             : 
    2920    10668574 :     double dv0=2.0;
    2921             : 
    2922    10668574 :     if(nu>999.9){return std::complex<double> (0.0,0.0);}
    2923             : 
    2924   160028610 :     for(unsigned int i=0; i<14; i++){
    2925             : 
    2926   149360036 :       lshape=lineshape(nu,fre[i],linebroadening_o2(fre[i],tt,pp,eh2o,33.0,dv0,0.2),0.0);
    2927   149360036 :       lshape=lshape*flin[i]*exp(-el[i]/tt)*(1-exp(-0.047992745509*fre[i]/tt));
    2928   149360036 :       lshapeacum=lshapeacum+lshape;
    2929             : 
    2930             :     }
    2931             : 
    2932    10668574 :     lshapeacum=lshapeacum*(nu/pi)*(picube8div3hcesu*pow(mu,2)/q); // imaginary part: absorption coefficient in cm^2
    2933             :     // real part: delay in rad*cm^2
    2934             : 
    2935    10668574 :     return lshapeacum*1e-4;    // to give it in SI units (  rad m^2 , m^2 )
    2936             : 
    2937             :   }
    2938             : 
    2939             : 
    2940             :   //////////////////////// Opacity Source Number: 3 //////////////////////////////
    2941             : 
    2942    10668574 : std::complex<double>  RefractiveIndex::mkSpecificRefractivity_16o18o(double tt, double pp, double eh2o, double nu){
    2943             : 
    2944             :     static const double fre[15]={
    2945             :       233.94611,298.47306,401.73972,463.77817,345.01768,566.89542,
    2946             :       627.75661,508.99550,731.18612,791.29170,672.52976,895.07000,
    2947             :       954.60941,835.84642,999.02720};
    2948             : 
    2949             :     static const double flin[15]={
    2950             :       .776E+00, .276E+00, .439E+00, .143E+00, .540E-01, .308E+00,
    2951             :       .950E-01, .510E-01, .238E+00, .710E-01, .440E-01, .194E+00,
    2952             :       .560E-01, .390E-01, .340E-01};
    2953             : 
    2954             :     static const double el[15]={
    2955             :       .000,     .000,    3.800,    3.800,    6.500,   11.600,
    2956             :       11.600,   14.300,   23.300,   23.300,   26.100,   38.900,
    2957             :       38.900,   41.700,   61.300};
    2958             : 
    2959             :     static const double pi=3.141592654;
    2960             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
    2961             :     static const double mu=0.0186;  //Debyes (M1 Transitions)
    2962             : 
    2963    10668574 :     double q=1.536568889*tt;
    2964    10668574 :     std::complex<double>  lshape;
    2965    10668574 :     std::complex<double>  lshapeacum;
    2966             : 
    2967    10668574 :     double dv0=2.0;
    2968             : 
    2969    10668574 :     if(nu>999.9){return std::complex<double> (0.0,0.0);}
    2970             : 
    2971   170697184 :     for(unsigned int i=0; i<15; i++){
    2972             : 
    2973   160028610 :       lshape=lineshape(nu,fre[i], linebroadening_o2(fre[i],tt,pp,eh2o,34.0,dv0,0.2),0.0);
    2974   160028610 :       lshape=lshape*flin[i]*exp(-el[i]/tt)*(1-exp(-0.047992745509*fre[i]/tt));
    2975   160028610 :       lshapeacum=lshapeacum+lshape;
    2976             : 
    2977             :     }
    2978             : 
    2979    10668574 :     lshapeacum=lshapeacum*(nu/pi)*(picube8div3hcesu*pow(mu,2)/q); // imaginary part: absorption coefficient in cm^2
    2980             :                                                                             // real part: delay in rad*cm^2
    2981             : 
    2982    10668574 :     return lshapeacum*1e-4;    // to give it in SI units (m^2)    // (  rad m^2 , m^2 )
    2983             : 
    2984             :   }
    2985             : 
    2986             :   //////////////////////// Opacity Source Number: 1 //////////////////////////////
    2987             : 
    2988    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_16o16o(double tt, double pp, double eh2o, double nu){
    2989             : 
    2990             :     static const double fre[55]={
    2991             :       50.473557,50.987199,51.502912,52.021065,52.542126,53.066702,53.595595,54.129887,54.671077,55.221309,
    2992             :       55.783762,56.264778,56.363362,56.968188,57.612473,58.323870,58.446594,59.164203,59.590988,60.306059,
    2993             :       60.434783,61.150565,61.800158,62.411215,62.486259,62.997970,63.568500,64.127733,64.678846,65.223985,
    2994             :       65.764647,66.301917,66.836594,67.369286,67.900462,68.430489,68.959664,118.750345,368.498440,424.763123,
    2995             :       487.249381,715.393320,773.839669,834.145728,1061.124062,1120.715051,1179.879254,1406.372391,1466.807173,
    2996             :       1525.131044,1751.254916,1812.405481,1870.017954,2095.777726,2157.577883};
    2997             : 
    2998             :     static const double flin[55]={
    2999             :       74.96623,70.96429,66.96212,62.95966,58.95686,54.95363,50.94989,46.94549,42.94023,38.93385,
    3000             :       34.92593, 2.45198,30.91587,26.90263,22.88444,18.85787, 6.71035,14.81540,10.80290,10.73657,
    3001             :       14.85057,18.87966,22.89926,26.91337,6.53862,30.92400,34.93231,38.93898,42.94445,46.94902,
    3002             :       50.95289,54.95621,58.95910,62.96162,66.96385,70.96584,74.96761, 2.00000, .04800, .39245,
    3003             :       .12804,  .04000,  .21283, .06343, .03044,.14656,  .04174,  .02443, .11187, .03102,
    3004             :       .02034,  .09050,  .02465, .01740, .07601};
    3005             : 
    3006             :     static const double el[55]={
    3007             :       2893.8,2594.5,2311.3,2044.2,1793.4,1558.9,1340.6,1138.7, 953.1, 784.0,
    3008             :       631.2,   3.0, 494.9, 375.1, 271.7,184.9,  23.6, 114.5,  60.8,  60.7,
    3009             :       114.5, 184.7, 271.5, 374.8,  23.4,494.6, 630.8, 783.5, 952.7,1138.2,
    3010             :       1340.0,1558.2,1792.7,2043.5,2310.5,2593.6,2892.9,    .0,   5.7,   3.0,
    3011             :       3.0,  26.5,  23.6,  23.6,  63.6,60.8,  60.8, 117.4, 114.5, 114.5,
    3012             :       187.7, 184.7, 184.7, 274.5, 271.5};
    3013             : 
    3014             :     static const double ensanche[55][4]={
    3015             :       {.890 ,  .8 ,  .240 ,  .790},{.910 ,  .8 ,  .220 ,  .780},{.940 ,  .8 ,  .197 ,  .774},{.970 ,  .8 ,  .166 ,  .764},
    3016             :       {.990 ,  .8 ,  .136 ,  .751},{1.020 ,  .8 ,  .131 ,  .714},{1.050 ,  .8 ,  .230 ,  .584},{1.070 ,  .8 ,  .335 ,  .431},
    3017             :       {1.100 ,  .8 ,  .374 ,  .305},{1.130 ,  .8 ,  .258 ,  .339},{1.170 ,  .8 ,  -0.166 ,  .705},{1.730 ,  .8 ,  .390 ,  -0.113},
    3018             :       {1.200 ,  .8 ,  -0.297 ,  .753},{1.240 ,  .8 ,  -0.416 ,  0.742},{1.280 ,  .8 ,  -0.613 ,  0.697},{1.330 ,  .8 ,  -0.205 ,  0.051},
    3019             :       {1.520 ,  .8 ,  0.748 ,  -0.146},{1.390 ,  .8 ,  -0.722 ,  0.266},{1.430 ,  .8 ,  0.765 ,  -0.090},{1.450 ,  .8 ,  -0.705 ,  0.081},
    3020             :       {1.360 ,  .8 ,  0.697 ,  -0.324},{1.310 ,  .8 ,  0.104 ,  -0.067},{1.270 ,  .8 ,  0.570 ,  -0.761},{1.230 ,  .8 ,  0.360 ,  -0.777},
    3021             :       {1.540 ,  .8 ,  -0.498 ,  0.097},{1.200 ,  .8 ,  0.239 ,  -0.768},{1.170 ,  .8 ,  0.108 ,  -0.706},{1.130 ,  .8 ,  -0.311 ,  -0.332},
    3022             :       {1.100 ,  .8 ,  -0.421 ,  -0.298},{1.070 ,  .8 ,  -0.375 ,  -0.423},{1.050 ,  .8 ,  -0.267 ,  -0.575},{1.020 ,  .8 ,  -0.168 ,  -0.700},
    3023             :       {0.990 ,  .8 ,  -0.169 ,  -0.735},{0.970 ,  .8 ,  -0.200 ,  -0.744},{0.940 ,  .8 ,  -0.228 ,  -0.753},{.920 ,  .8 ,  -0.240 ,  -0.760},
    3024             :       {.900 ,  .8 ,  -0.250 ,  -0.765},{1.630 ,  .8 ,  -0.036 , 0.009},{1.920 ,  .2 ,  .0 ,  .0},{1.930 ,  .2 ,  .0 ,  .0},
    3025             :       {1.920 ,  .2 ,  .0 ,  .0},{1.810 ,  .2 ,  .0 ,  .0},{1.820 ,  .2 ,  .0 ,  .0},{1.810 ,  .2 ,  .0 ,  .0},
    3026             :       {1.900 ,  .2 ,  .0 ,  .0},{1.900 ,  .2 ,  .0 ,  .0},{1.900 ,  .2 ,  .0 ,  .0},{1.900 ,  .2 ,  .0 ,  .0},
    3027             :       {1.900 ,  .2 ,  .0 ,  .0},{1.900 ,  .2 ,  .0 ,  .0},{1.900 ,  .2 ,  .0 ,  .0},{1.900 ,  .2 ,  .0 ,  .0},
    3028             :       {1.900 ,  .2 ,  .0 ,  .0},{1.900 ,  .2 ,  .0 ,  .0},{1.900 ,  .2 ,  .0 ,  .0}};
    3029             : 
    3030             : 
    3031             :     static const unsigned int ifin1[800]={                 // NEW PATCH 16 SEP 2016
    3032             :       41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,
    3033             :       41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,
    3034             :       41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,
    3035             :       41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,
    3036             :       42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,
    3037             :       42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,
    3038             :       42,  42,  42,  42,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    3039             :       44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    3040             :       44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    3041             :       44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
    3042             :       45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
    3043             :       45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
    3044             :       47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
    3045             :       47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
    3046             :       47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
    3047             :       47,  47,  47,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,
    3048             :       48,  48,  48,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
    3049             :       49,  49,  49,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
    3050             :       50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
    3051             :       50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
    3052             :       50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  51,  51,  51,  51,
    3053             :       51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  51,  52,  52,  52,  52,
    3054             :       52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  52,  53,  53,  53,  53,  53,
    3055             :       53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
    3056             :       53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
    3057             :       53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,
    3058             :       53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  53,  54,  54};    // NEW PATCH 16 SEP 2016
    3059             : 
    3060             :     static const unsigned int ini1[800]={                  // NEW PATCH 16 SEP 2016
    3061             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    3062             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    3063             :       38,  38,  38,  38,  38,  38,  38,  38,  38,  38, 38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,
    3064             :       38,  38,  38,  38,  38,  38,  38,  38,  38,  38, 38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,
    3065             :       38,  38,  38,  38,  38,  38,  38,  38,  38,  38, 38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,
    3066             :       38,  38,  38,  38,  38,  38,  38,  38,  38,  38, 38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,
    3067             :       38,  38,  38,  38,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    3068             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    3069             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    3070             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    3071             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    3072             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    3073             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    3074             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    3075             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39, 39,  39,  39,  39,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
    3076             :       40,  40,  40,  40,  40,  40,  40,  40,  40,  40, 40,  40,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,
    3077             :       41,  41,  41,  41,  41,  41,  41,  41,  41,  41, 41,  41,  41,  41,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,
    3078             :       42,  42,  42,  42,  42,  42,  42,  42,  42,  42, 42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,
    3079             :       42,  42,  42,  42,  42,  42,  42,  42,  42,  42, 42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,
    3080             :       42,  42,  42,  42,  42,  42,  42,  42,  42,  42, 42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,
    3081             :       42,  42,  42,  42,  42,  42,  42,  42,  43,  43, 43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,
    3082             :       43,  43,  43,  43,  43,  43,  43,  44,  44,  44, 44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    3083             :       44,  44,  44,  44,  44,  44,  44,  45,  45,  45, 45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
    3084             :       45,  45,  45,  45,  45,  45,  45,  45,  45,  45, 45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
    3085             :       45,  45,  45,  45,  45,  45,  45,  45,  45,  45, 45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
    3086             :       45,  45,  45,  45,  45,  45,  45,  45,  45,  45, 45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
    3087             :       45,  46,  46,  46,  46,  46,  46,  46,  46,  46, 46,  46,  46,  46,  46,  46,  46,  46,  46,  46};  // NEW PATCH 16 SEP 2016
    3088             : 
    3089             :     static const unsigned int ifin2[800]={                 // NEW PATCH 16 SEP 2016
    3090             :       37,  37,  37,  37,  37,  37,  37,  37,  37,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,
    3091             :       38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,
    3092             :       38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,
    3093             :       38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  38,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    3094             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    3095             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,
    3096             :       40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,
    3097             :       41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,
    3098             :       41,  41,  41,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,
    3099             :       42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,
    3100             :       42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,
    3101             :       42,  42,  42,  42,  42,  42,  42,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,
    3102             :       43,  43,  43,  43,  43,  43,  43,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    3103             :       44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    3104             :       44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    3105             :       44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    3106             :       44,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
    3107             :       46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
    3108             :       47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
    3109             :       47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
    3110             :       47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
    3111             :       47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,
    3112             :       48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  49,  49,  49,  49,  49,  49,  49,
    3113             :       49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  50,  50,  50,  50,  50,  50,  50,
    3114             :       50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
    3115             :       50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,
    3116             :       50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50};    // NEW PATCH 16 SEP 2016
    3117             : 
    3118             :     static const unsigned int ini2[800]={     // NEW PATCH 16 SEP 2016
    3119             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    3120             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    3121             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    3122             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    3123             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    3124             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    3125             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,
    3126             :       39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  39,  40,  40,  40,  40,  40,  40,
    3127             :       40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  40,  41,  41,  41,  41,  41,  41,  41,  41,
    3128             :       41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,
    3129             :       41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,
    3130             :       41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  41,  42,  42,
    3131             :       42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,
    3132             :       42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  42,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,
    3133             :       43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  43,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    3134             :       44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,  44,
    3135             :       44,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
    3136             :       45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
    3137             :       45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,
    3138             :       45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  45,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  46,
    3139             :       46,  46,  46,  46,  46,  46,  46,  46,  46,  46,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,
    3140             :       47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  47,  48,  48,  48,  48,  48,  48,  48,
    3141             :       48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,
    3142             :       48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,
    3143             :       48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,  48,
    3144             :       48,  48,  48,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,  49,
    3145             :       49,  49,  49,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50,  50};    // NEW PATCH 16 SEP 2016
    3146             : 
    3147             : 
    3148             :     static const double pi=3.141592654;
    3149             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
    3150             :     static const double mu=0.0186;  //Debyes (M1 Transitions)
    3151             : 
    3152    10668574 :     double q=0.72923*tt;
    3153             :     unsigned int vp;
    3154             :     unsigned int ini;
    3155             :     unsigned int ifin;
    3156    10668574 :     std::complex<double>  lshape;
    3157    10668574 :     std::complex<double>  lshapeacum;
    3158             : 
    3159             : 
    3160    10668574 :     if(nu>1599.9){                                         // FIXED 15/11/2018  999.0 --> 1599.9
    3161             : 
    3162           0 :       return std::complex<double> (0.0,0.0);
    3163             : 
    3164             :     }else{
    3165             : 
    3166    10668574 :       vp=vpIndex(nu);
    3167             : 
    3168    10668574 :       if(pp<25){ ini=ini2[vp]; ifin=ifin2[vp]; }else{ if(pp<300){ ini=ini1[vp]; ifin=ifin1[vp]; }else{ ini=ini1[vp]; ifin=ifin1[vp];  }}  // NEW PATCH 16 SEP 2016
    3169             : 
    3170             : 
    3171    10668574 :       if(ini<38&&nu>135.0){ini=38;}
    3172    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
    3173    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
    3174             : 
    3175    10668574 :       if(ifin==0||ifin<ini||(ini>0&&ifin==36)){
    3176             : 
    3177           0 :         return std::complex<double> (0.0,0.0);
    3178             : 
    3179             :       }else{
    3180             : 
    3181   267572865 :         for(unsigned int i=ini; i<ifin+1; i++){
    3182             : 
    3183   256904291 :           lshape=lineshape(nu,fre[i],linebroadening_o2(fre[i],tt,pp,eh2o,32.0,ensanche[i][0],ensanche[i][1]),
    3184   256904291 :                            interf_o2(tt,pp,ensanche[i][2],ensanche[i][3]));
    3185             : 
    3186   256904291 :           lshape=lshape*flin[i]*exp(-el[i]/tt)*(1-exp(-0.047992745509*fre[i]/tt));
    3187   256904291 :           lshapeacum=lshapeacum+lshape;
    3188             : 
    3189             :         }
    3190             : 
    3191    10668574 :         lshapeacum=lshapeacum*(nu/pi)*(picube8div3hcesu*pow(mu,2)/q); // imaginary part: absorption coefficient in cm^2
    3192             :                                                                             // real part: delay in rad*cm^2
    3193             : 
    3194    10668574 :         return lshapeacum*1e-4;    // to give it in SI units (m^2)    // (  rad m^2 , m^2 )
    3195             : 
    3196             : 
    3197             : 
    3198             :       }
    3199             : 
    3200             :     }
    3201             : 
    3202             :   }
    3203             : 
    3204             :   //////////////////////// Opacity Source Number: 18 /////////////////////////////
    3205             : 
    3206    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_16o16o16o_v1(double tt, double pp, double nu){
    3207             : 
    3208             :     static const double fre[666] = {
    3209             :        56.32262, 60.12735,  60.56912,  66.33307,  69.29689,  71.61163, 77.99631, 84.18972,  85.54551,  91.15601,  93.31576,  96.15456, 98.34086, 98.85639, 100.60193, 101.21991, 103.23577, 106.45254,
    3210             :       108.13591,109.55845, 113.54478, 116.71116, 118.49730, 121.65349,123.84758,126.06654, 126.98120, 127.32609, 136.63433, 138.10425,138.71323,139.65140, 141.66940, 143.54189, 148.81509, 156.99209,
    3211             :       158.26782,159.53502, 163.99924, 165.31612, 167.11342, 167.19221,171.58626,174.51850, 174.66182, 177.42096, 180.42414, 180.63175,181.73112,182.37700, 186.46039, 188.35683, 191.11182, 192.19449,
    3212             :       196.18717,196.86555, 200.44139, 207.24943, 207.47224, 209.45354,210.05138,210.81483, 212.72347, 214.58850, 217.26735, 219.13616,227.28131,227.93809, 229.74040, 233.99684, 236.06780, 237.31443,
    3213             :       238.67545,239.63524, 241.15622, 244.21723, 244.40412, 244.43116,244.80601,247.28023, 250.36649, 251.20555, 252.10022, 253.13974,254.38199,256.46118, 257.02686, 257.44821, 260.55560, 261.68853,
    3214             :       262.81577,266.18744, 266.69739, 268.62829, 269.85384, 274.97493,275.34705,277.43617, 278.63404, 279.54118, 279.97645, 286.25673,286.47214,288.86771, 291.05313, 292.60275, 294.24302, 296.35055,
    3215             :       298.12033,299.44582, 300.14008, 300.88199, 301.82362, 302.66557,305.37588,313.11752, 313.96726, 315.01457, 318.07600, 321.90121,322.83151,325.39926, 329.07958, 329.35203, 329.63537, 331.46240,
    3216             :       331.83284,332.10204, 333.07112, 337.67805, 338.29249, 340.94843,344.17252,347.19298, 347.96235, 348.03847, 348.57830, 354.14930,355.41835,356.65047, 357.21948, 359.07333, 360.07834, 363.76751,
    3217             :       364.31640,366.89976, 367.63664, 367.68432, 368.31439, 369.01238,370.68160,373.08180, 373.51896, 380.00239, 382.37914, 383.07177,385.73513,387.08528, 389.63299, 392.41460, 392.70860, 399.28973,
    3218             :       399.45174,400.00220, 400.31612, 400.83638, 402.60472, 404.70342,405.10461,405.33098, 405.91996, 408.72750, 412.40257, 414.15575,415.29120,415.32681, 415.39755, 418.49538, 418.60926, 419.42034,
    3219             :       421.88499,424.79251, 427.08175, 427.14631, 428.46758, 430.06011,430.55019,432.93300, 433.45322, 434.39927, 434.72439, 440.62363,442.26964,443.47072, 444.18047, 444.31909, 444.51987, 444.93163,
    3220             :       446.24275,449.21056, 450.36394, 452.33435, 452.34094, 454.28219,455.73534,459.75325, 459.94793, 460.82371, 464.69765, 465.13074,465.61929,466.06593, 466.57682, 467.61732, 469.08544, 469.66185,
    3221             :       469.82535,469.84092, 469.99313, 470.42049, 471.10105, 471.33768,472.14969,473.00787, 474.12556, 475.72953, 475.79012, 476.01751,479.41275,479.43414, 479.82150, 480.02805, 480.99720, 481.32413,
    3222             :       481.61774,482.00733, 483.36690, 485.09307, 485.22282, 485.47628,485.60725,486.39632, 488.41537, 490.17272, 491.36155, 491.48542,493.39923,495.08933, 495.39256, 501.13332, 501.22029, 503.48418,
    3223             :       503.87637,505.72286, 505.86547, 506.05667, 506.16194, 506.18081,507.41626,508.98621, 510.92231, 515.36205, 516.10994, 516.43384,516.67450,518.37829, 518.91860, 519.24151, 520.61070, 520.91304,
    3224             :       523.47669,524.90463, 526.54528, 526.56774, 530.96732, 531.35734,531.36725,531.47446, 534.22109, 536.33441, 541.92030, 542.09896,544.43620,545.28283, 545.67584, 546.37068, 549.33079, 549.71760,
    3225             :       551.89532,553.41942, 555.34228, 556.73365, 556.94081, 560.03381,561.68767,566.30070, 566.46331, 566.63082, 567.15473, 567.85064,567.90728,569.24221, 570.28707, 570.49040, 570.58137, 570.91661,
    3226             :       571.78117,572.58147, 575.38384, 577.17245, 582.46959, 584.35818,586.42326,587.00477, 587.73352, 587.77395, 588.17021, 589.00198,592.28135,592.31326, 592.35663, 593.67464, 595.08456, 595.48245,
    3227             :       597.13876,598.19171, 599.42247, 602.42489, 602.97283, 604.03380,607.94872,609.89261, 612.27768, 613.02473, 613.34754, 616.84709,617.54397,618.21007, 618.84739, 619.40050, 620.82655, 621.00256,
    3228             :       622.17134,622.45182, 622.94655, 625.01144, 627.64469, 630.65976,632.83383,633.06397, 633.24384, 633.37721, 637.51756, 638.93754,639.61072,642.71497, 645.08659, 645.09537, 645.26291, 646.06934,
    3229             :       647.06520,647.71941, 648.89081, 650.51085, 652.06684, 652.84289,653.41797,655.22008, 655.92342, 656.06902, 656.09226, 656.26647,656.35466,656.65907, 656.80170, 656.82310, 656.91045, 657.07878,
    3230             :       657.08186,657.16521, 657.17467, 657.18785, 657.19025, 657.68899,658.32316,658.75796, 660.37246, 660.96246, 662.72351, 664.02630,665.04551,665.76740, 667.87623, 670.20403, 670.51512, 670.73289,
    3231             :       670.90212,671.85036, 672.94655, 698.13443, 702.12840, 702.28165,703.03398,703.18050, 709.11752, 709.37874, 713.05428, 716.50097,716.63048,717.17953, 717.89948, 717.94774, 718.91078, 719.58275,
    3232             :       721.90903,723.28663, 723.31186, 724.58165, 728.32796, 728.68187,728.83776,730.00683, 734.62132, 735.16339, 736.62060, 738.18520,740.96718,740.96869, 741.51835, 745.29940, 747.43936, 747.60839,
    3233             :       748.40523,748.89572, 748.95189, 753.46564, 756.75160, 757.83732,758.35661,758.76748, 759.82029, 761.19917, 761.89788, 762.85226,763.29730,767.09468, 767.61829, 772.93131, 773.49326, 773.89629,
    3234             :       775.76903,776.98342, 778.09753, 778.59628, 781.60703, 783.01085,783.10450,784.15200, 784.97654, 786.66768, 787.22610, 787.62016,788.39401,789.18530, 793.73899, 793.92795, 795.85039, 797.08155,
    3235             :       798.38487,798.55318, 799.02592, 801.28418, 803.72267, 804.53158,805.40569,805.93141, 806.41119, 806.57472, 807.17167, 807.31748,808.18410,809.43467, 810.09119, 810.79538, 811.85443, 813.24529,
    3236             :       813.47820,816.08254, 817.19729, 819.02300, 821.69574, 823.58783,823.79976,826.29262, 828.84723, 828.92001, 829.72303, 831.69679,833.12055,833.24483, 833.34268, 833.98244, 834.05825, 835.16522,
    3237             :       835.29911,835.64609, 835.85913, 836.15160, 836.60828, 836.67342,836.74895,838.23638, 838.48614, 838.54520, 838.55288, 839.25786,839.63705,839.95928, 840.49380, 840.87026, 841.29986, 841.38826,
    3238             :       841.88368,841.89298, 842.69243, 842.81886, 843.27828, 843.42213,843.67512,843.78616, 843.91606, 843.98153, 844.02407, 844.03747,844.04424,844.06150, 844.06279, 844.07257, 844.07512, 845.73163,
    3239             :       848.59988,849.17560, 849.82640, 851.79636, 853.77428, 853.97218,854.90212,856.49894, 858.51174, 860.19968, 860.47862, 861.83011,862.59832,863.62080, 863.69239, 864.01684, 864.24009, 864.35788,
    3240             :       865.26485,866.05879, 866.31374, 867.74952, 868.99315, 872.73940,873.59215,874.43623, 874.51177, 877.47019, 877.70572, 878.75871,881.35897,881.36681, 883.07892, 883.61046, 885.19563, 885.80968,
    3241             :       887.98885,888.68465, 891.26726, 893.56860, 893.98398, 894.64506,897.42056,897.47360, 898.56741, 899.80748, 900.56569, 901.01586,903.15000,907.16521, 908.16879, 908.79727, 909.48601, 909.91393,
    3242             :       909.98112,910.15419, 913.29503, 913.74695, 914.12012, 914.34311,915.63434,917.26602, 920.00036, 922.04927, 923.52855, 924.82275,925.06173,929.53532, 932.70720, 933.73116, 934.14079, 934.53741,
    3243             :       934.66297,935.01694, 935.07653, 935.29581, 935.67426, 938.35059,938.81009,941.94142, 943.26205, 943.33399, 944.81071, 947.68152,948.47843,950.27326, 953.02120, 957.08315, 959.02762, 959.96394,
    3244             :       960.39622,960.49677, 960.83281, 961.09020, 961.90512, 961.93041,962.17344,963.87630, 966.24899, 966.41783, 967.70572, 968.43274,969.25619,969.47424, 969.84707, 973.41999, 973.61940, 975.44060,
    3245             :       975.56576,981.37877, 981.53804, 982.66663, 983.57350, 984.81783,986.50649,987.26748, 987.81624, 988.47613, 988.83493, 988.94762,989.44755,989.44802, 995.03809, 995.24924, 997.58337, 998.35617 };
    3246             : 
    3247             :     static const double texpO3[666] ={
    3248             :       0.77,0.78,0.77,0.76,0.79,0.77,0.79,0.79,0.80,0.77,0.80,0.76,0.77,0.78,0.81,0.76,0.78,0.80,0.80,0.78,0.82,0.76,0.76,0.77,0.77,0.80,0.77,0.79,0.81,0.77,0.77,0.82,0.78,
    3249             :       0.83,0.77,0.77,0.80,0.77,0.81,0.76,0.76,0.82,0.79,0.76,0.83,0.78,0.80,0.79,0.82,0.77,0.77,0.83,0.82,0.81,0.77,0.78,0.83,0.83,0.78,0.76,0.79,0.76,0.77,0.83,0.81,0.78,
    3250             :       0.83,0.78,0.84,0.79,0.78,0.78,0.77,0.76,0.77,0.78,0.77,0.81,0.77,0.79,0.78,0.77,0.77,0.82,0.83,0.79,0.81,0.78,0.77,0.79,0.76,0.77,0.76,0.76,0.80,0.79,0.76,0.78,0.78,
    3251             :       0.82,0.76,0.76,0.79,0.76,0.77,0.76,0.77,0.80,0.76,0.77,0.79,0.78,0.77,0.77,0.82,0.79,0.78,0.84,0.76,0.80,0.76,0.79,0.77,0.77,0.77,0.82,0.83,0.80,0.76,0.81,0.78,0.83,
    3252             :       0.78,0.77,0.80,0.78,0.79,0.77,0.76,0.78,0.81,0.80,0.81,0.80,0.78,0.83,0.81,0.77,0.78,0.76,0.80,0.79,0.79,0.77,0.82,0.81,0.79,0.76,0.78,0.78,0.83,0.79,0.79,0.76,0.79,
    3253             :       0.76,0.76,0.82,0.77,0.80,0.78,0.81,0.78,0.84,0.78,0.81,0.78,0.83,0.79,0.78,0.82,0.79,0.79,0.79,0.78,0.78,0.77,0.76,0.79,0.81,0.83,0.78,0.78,0.77,0.82,0.76,0.76,0.78,
    3254             :       0.78,0.79,0.79,0.77,0.79,0.76,0.77,0.77,0.80,0.76,0.77,0.81,0.78,0.78,0.78,0.77,0.76,0.76,0.82,0.76,0.76,0.77,0.76,0.77,0.83,0.77,0.76,0.77,0.79,0.84,0.76,0.83,0.78,
    3255             :       0.84,0.77,0.76,0.79,0.76,0.77,0.78,0.76,0.80,0.78,0.80,0.79,0.83,0.77,0.76,0.78,0.76,0.82,0.76,0.79,0.79,0.76,0.84,0.82,0.77,0.80,0.76,0.76,0.82,0.80,0.84,0.79,0.79,
    3256             :       0.77,0.76,0.81,0.79,0.77,0.82,0.76,0.82,0.79,0.78,0.76,0.76,0.76,0.79,0.76,0.80,0.77,0.76,0.76,0.76,0.81,0.81,0.76,0.80,0.78,0.80,0.77,0.79,0.83,0.80,0.79,0.76,0.76,
    3257             :       0.81,0.77,0.81,0.76,0.79,0.76,0.76,0.79,0.80,0.81,0.77,0.82,0.78,0.83,0.76,0.80,0.79,0.76,0.78,0.76,0.76,0.76,0.80,0.77,0.76,0.76,0.76,0.81,0.83,0.76,0.78,0.76,0.80,
    3258             :       0.83,0.76,0.79,0.79,0.81,0.76,0.77,0.78,0.79,0.76,0.79,0.76,0.81,0.81,0.80,0.76,0.78,0.79,0.81,0.76,0.83,0.82,0.79,0.76,0.79,0.77,0.76,0.77,0.77,0.78,0.78,0.80,0.81,
    3259             :       0.78,0.82,0.78,0.78,0.77,0.78,0.78,0.79,0.77,0.78,0.77,0.77,0.77,0.77,0.77,0.77,0.77,0.77,0.76,0.76,0.80,0.79,0.76,0.76,0.80,0.79,0.76,0.80,0.81,0.77,0.80,0.76,0.84,
    3260             :       0.81,0.77,0.80,0.80,0.82,0.79,0.80,0.77,0.76,0.76,0.78,0.84,0.76,0.82,0.83,0.82,0.80,0.83,0.83,0.80,0.77,0.77,0.77,0.82,0.76,0.79,0.76,0.76,0.83,0.78,0.83,0.83,0.77,
    3261             :       0.76,0.83,0.81,0.79,0.81,0.84,0.77,0.83,0.76,0.84,0.80,0.81,0.76,0.82,0.83,0.78,0.81,0.82,0.76,0.79,0.76,0.77,0.76,0.84,0.77,0.82,0.76,0.76,0.76,0.81,0.77,0.76,0.76,
    3262             :       0.78,0.80,0.76,0.81,0.84,0.82,0.83,0.79,0.76,0.76,0.77,0.76,0.76,0.81,0.82,0.83,0.76,0.76,0.76,0.81,0.76,0.76,0.78,0.76,0.78,0.81,0.83,0.81,0.81,0.79,0.76,0.80,0.77,
    3263             :       0.78,0.77,0.80,0.82,0.82,0.77,0.83,0.81,0.76,0.81,0.79,0.76,0.83,0.76,0.76,0.80,0.80,0.79,0.76,0.78,0.76,0.77,0.84,0.79,0.79,0.76,0.82,0.78,0.79,0.78,0.78,0.78,0.78,
    3264             :       0.78,0.77,0.77,0.77,0.76,0.77,0.76,0.77,0.77,0.77,0.77,0.76,0.79,0.76,0.76,0.83,0.76,0.77,0.76,0.81,0.77,0.80,0.76,0.82,0.82,0.77,0.77,0.76,0.76,0.76,0.76,0.83,0.76,
    3265             :       0.78,0.76,0.76,0.79,0.76,0.76,0.77,0.76,0.76,0.76,0.83,0.76,0.77,0.80,0.78,0.82,0.77,0.84,0.77,0.76,0.77,0.84,0.78,0.78,0.76,0.76,0.76,0.78,0.78,0.76,0.77,0.76,0.82,
    3266             :       0.76,0.80,0.76,0.77,0.76,0.84,0.82,0.83,0.76,0.76,0.78,0.78,0.76,0.76,0.82,0.77,0.79,0.76,0.83,0.76,0.79,0.76,0.76,0.76,0.77,0.76,0.83,0.76,0.78,0.76,0.78,0.76,0.83,
    3267             :       0.83,0.77,0.79,0.76,0.78,0.76,0.76,0.76,0.79,0.76,0.77,0.76,0.76,0.83,0.76,0.83,0.76,0.76,0.78,0.83,0.76,0.76,0.83,0.76,0.76,0.77,0.79,0.79,0.76,0.84,0.76,0.76,0.77,
    3268             :       0.76,0.76,0.76,0.83,0.83,0.78};
    3269             : 
    3270             : 
    3271             : 
    3272             : 
    3273             :     static const double brdO3air[666] ={
    3274             :       2.4859,2.2877,2.3439,2.5155,2.1574,2.3883,2.1870,2.2018,2.1338,2.4060,2.1130,2.5895,2.3498,2.2314,2.0953,2.5244,2.3291,2.1130,2.1249,2.2314,2.0687,2.5392,2.7405,2.4149,2.4386,2.1249,2.4771,
    3275             :       2.2166,2.0835,2.3705,2.3439,2.0716,2.2314,2.0598,2.3735,2.3942,2.1338,2.3291,2.0775,2.6428,2.5540,2.0716,2.2018,2.5925,2.0568,2.2492,2.1042,2.1456,2.0598,2.3735,2.2936,2.0568,2.0627,2.0835,
    3276             :       2.4208,2.2669,2.0568,2.0598,2.3025,2.5540,2.1574,2.6428,2.4445,2.0568,2.0894,2.2610,2.0598,2.2877,2.0598,2.1722,2.2610,2.2344,2.2936,2.3000,2.3143,2.2078,2.3291,2.0953,2.4711,2.1722,2.3084,
    3277             :       2.4771,2.3705,2.0598,2.0568,2.1841,2.0894,2.2344,2.4149,2.1870,2.3000,2.4978,2.0627,2.4682,2.1042,2.1604,2.5244,2.2640,2.3291,2.0627,2.5895,2.5570,2.2018,2.3000,2.4060,2.4948,2.5244,2.1130,
    3278             :       2.3000,2.2640,2.1397,2.2078,2.4415,2.3498,2.0687,2.2166,2.2196,2.0598,2.5540,2.1249,2.3000,2.1456,2.3498,2.3735,2.3439,2.0716,2.0568,2.1190,2.6901,2.0775,2.2314,2.0568,2.2255,2.3113,2.1338,
    3279             :       2.2255,2.1841,2.3113,2.6191,2.2166,2.0775,2.1900,2.1663,2.1190,2.2492,2.0568,2.1456,2.2877,2.2788,2.6132,2.1900,2.1397,2.1456,2.4208,2.1249,2.0835,2.1604,2.5984,2.2669,2.2462,2.0568,2.1574,
    3280             :       2.1604,2.3000,2.1841,2.5658,2.3000,2.1071,2.4445,2.1249,2.2403,2.0894,2.1782,2.0598,2.2877,2.1663,2.2078,2.0598,2.1900,2.2196,2.0687,2.1722,2.1456,2.1722,2.2196,2.2344,2.4711,2.3000,2.2018,
    3281             :       2.0953,2.0923,2.3084,2.2610,2.5126,2.0598,2.3000,2.5155,2.1959,2.2314,2.1959,2.1870,2.2936,2.1397,2.3000,2.4978,2.3291,2.1042,2.3000,2.3705,2.1456,2.2669,2.3291,2.1426,2.4149,2.4682,2.5244,
    3282             :       2.0627,2.5570,2.4948,2.4415,2.3000,2.3912,2.0746,2.3498,2.0509,2.3113,2.2018,2.0627,2.3000,2.0746,2.2788,2.0598,2.5244,2.3000,2.1722,2.3000,2.4623,2.1604,2.0391,2.1130,2.2462,2.1042,2.1574,
    3283             :       2.0923,2.3498,2.3000,2.2196,2.3000,2.0687,2.3000,2.2166,2.1959,2.0302,2.0598,2.1071,2.4386,2.1190,2.5540,2.3000,2.0598,2.1249,2.0627,2.1722,2.1515,2.3735,2.3000,2.1574,2.1130,2.4120,2.0716,
    3284             :       2.3000,2.1249,2.1278,2.2314,2.0213,2.0302,2.5836,2.1515,2.3000,2.1338,2.3942,2.3000,2.3000,2.4948,2.1456,2.0775,2.3000,2.1308,2.2492,2.1308,2.3676,2.1278,2.0568,2.1900,2.1456,2.3000,2.0154,
    3285             :       2.1663,2.4208,2.0894,2.3000,2.0983,2.0509,2.6132,2.0864,2.1071,2.0835,2.3735,2.1071,2.2669,2.0568,2.3000,2.1900,2.1574,2.3000,2.3232,2.3000,2.3000,2.3000,2.1071,2.4445,2.3000,2.5836,2.5836,
    3286             :       2.0894,2.0568,2.0154,2.2877,2.3000,2.1190,2.0598,2.0095,2.1722,2.0746,2.1663,2.0213,2.4711,2.2817,2.1397,2.3000,2.0657,2.5540,2.1574,2.0953,2.0983,2.0391,2.3084,2.1604,2.1782,2.3000,2.0923,
    3287             :       2.0598,2.1870,2.0302,2.1841,2.4978,2.3000,2.3143,2.5244,2.2078,2.2433,2.1042,2.0775,2.2344,2.1367,2.3291,2.2610,2.2936,2.2196,2.2462,2.1959,2.3291,2.2788,2.3113,2.3291,2.3705,2.3498,2.3912,
    3288             :       2.3912,2.4415,2.3705,2.5244,2.5244,2.0539,2.1515,2.0391,2.3000,2.1308,2.2018,2.0391,2.1071,2.1456,2.5244,2.0450,2.3000,2.0598,2.1782,2.4978,2.1130,2.1249,2.1160,2.1722,2.0361,2.3735,2.3000,
    3289             :       2.3000,2.2314,2.0627,2.3000,2.1249,2.0983,2.1367,2.0272,2.0983,2.0568,2.1338,2.4445,2.2640,2.3942,2.0687,2.3000,2.1426,2.3000,2.3000,2.0835,2.2492,2.0746,2.0746,2.4208,2.3000,2.0568,2.0479,
    3290             :       2.1456,2.0183,2.0627,2.4208,2.0835,2.4356,2.0687,2.1130,2.0835,2.3000,2.1160,2.0923,2.2669,2.0124,2.1071,2.3000,2.1574,2.3000,2.3942,2.3000,2.0598,2.4445,2.1071,2.5836,2.0568,2.3000,2.0894,
    3291             :       2.3735,2.3000,2.3000,2.2877,2.0864,2.3000,2.0035,2.0687,2.1249,2.0598,2.1722,2.3000,2.3000,2.4711,2.3000,2.0509,2.0272,2.0598,2.0983,2.3000,2.3000,2.5540,2.1456,2.3000,2.0450,2.2166,2.3000,
    3292             :       2.3084,1.9976,2.0923,2.1663,2.0598,2.1870,2.3000,2.1900,2.4978,2.3291,2.3498,2.1190,2.1160,2.1367,2.5244,2.0983,2.1574,2.3000,2.1782,2.1397,2.3000,2.0835,2.0568,2.3000,2.1071,2.1308,2.1604,
    3293             :       2.3000,2.3291,2.3000,2.5244,2.0687,2.1841,2.1722,2.0331,1.9888,2.2078,2.1959,2.2196,2.2344,2.2462,2.2610,2.2788,2.2936,2.3113,2.3291,2.4948,2.3498,2.4682,2.4415,2.4415,2.4149,2.4149,2.0568,
    3294             :       2.2018,2.3000,2.3000,2.0835,2.0450,2.5244,2.3000,2.0391,2.4978,2.1130,2.0391,2.0095,1.9828,2.3498,2.3291,2.3000,2.3000,2.0331,2.3000,2.0746,2.3000,2.2877,2.3000,2.3000,2.2166,2.0243,2.3000,
    3295             :       2.2936,2.0243,2.0450,2.3000,2.0568,2.3000,2.4711,2.1249,2.3084,1.9740,2.3735,2.0598,2.4711,2.0183,2.4445,2.0687,2.2610,2.2314,2.3000,2.3000,2.3000,2.2492,2.1782,2.3000,2.4445,2.3000,1.9680,
    3296             :       2.0183,2.1338,2.0124,2.3942,2.0302,2.0627,1.9917,2.0568,2.3000,2.0331,2.2492,2.2344,2.3000,2.0065,2.0006,2.4208,2.2166,2.3000,1.9592,2.3000,2.1456,2.3000,2.0095,2.3000,2.4208,2.0302,2.0568,
    3297             :       2.0568,2.2669,2.0124,2.2669,2.3000,2.0568,1.9532,2.3942,2.1574,2.0391,2.2078,2.3000,2.3000,2.3000,2.1870,2.0509,2.4445,2.0243,2.0213,1.9799,2.3000,2.0568,2.3000,2.3853,2.2877,1.9858,2.3000,
    3298             :       2.0509,1.9444,2.3000,2.3000,2.3735,2.1722,2.1574,2.3000,2.0627,2.3000,2.3000,2.4711,2.0450,2.0450,2.5540,2.0598,2.0746,2.3084};
    3299             : 
    3300             : 
    3301             : 
    3302             :     static const double flin[666] = {
    3303             :       .148E+01, .278E+01, .144E+01, .281E+01, .318E+01, .284E+01, .392E+01, .378E+01, .301E+01, .125E+01, .275E+01, .253E+01, .236E+01, .386E+01, .501E+01, .443E+01, .244E+01, .498E+01,
    3304             :       .506E+01, .613E+01, .638E+01, .908E+00, .102E+01, .754E+01, .415E+01, .478E+01, .955E+00, .353E+01, .508E+01, .860E+01, .366E+01, .600E+01, .334E+01, .664E+01, .205E+01, .189E+01,
    3305             :       .456E+01, .927E+01, .580E+01, .205E+01, .575E+00, .504E+01, .446E+01, .397E+00, .702E+01, .310E+01, .550E+01, .435E+01, .676E+01, .567E+01, .958E+01, .682E+01, .488E+01, .558E+01,
    3306             :       .162E+01, .289E+01, .681E+01, .461E+01, .460E+01, .313E+01, .413E+01, .167E+00, .142E+01, .425E+01, .537E+01, .961E+01, .659E+01, .266E+01, .693E+01, .391E+01, .131E+02, .131E+02,
    3307             :       .109E+02, .204E+01, .736E+01, .169E+02, .877E+01, .515E+01, .118E+01, .513E+01, .244E+01, .430E+01, .680E+01, .638E+01, .713E+01, .182E+02, .598E+01, .944E+01, .506E+01, .369E+01,
    3308             :       .760E+01, .955E+00, .693E+01, .354E+01, .493E+01, .191E+02, .219E+01, .570E+01, .221E+01, .616E+01, .868E+00, .148E+01, .346E+01, .738E+01, .561E+01, .256E+01, .727E+00, .470E+01,
    3309             :       .683E+01, .922E+01, .195E+02, .919E+01, .352E+01, .198E+01, .594E+01, .323E+01, .438E+01, .716E+01, .512E+00, .448E+01, .661E+01, .591E+01, .515E+01, .175E+01, .708E+01, .572E+01,
    3310             :       .752E+01, .195E+02, .152E+01, .652E+01, .301E+01, .694E+01, .307E+00, .582E+01, .425E+01, .696E+01, .894E+01, .152E+01, .170E+01, .112E+02, .549E+01, .240E+02, .262E+02, .217E+02,
    3311             :       .278E+01, .672E+01, .278E+02, .873E+01, .638E+01, .128E+00, .192E+02, .192E+02, .403E+01, .129E+01, .290E+02, .527E+01, .168E+02, .183E+01, .255E+01, .685E+01, .650E+01, .380E+01,
    3312             :       .872E+01, .912E+01, .145E+02, .215E+01, .772E+01, .296E+02, .107E+01, .681E+01, .105E+02, .504E+01, .133E+02, .795E+01, .232E+01, .188E+02, .125E+02, .628E+01, .841E+01, .723E+01,
    3313             :       .714E+01, .357E+01, .197E+00, .178E+00, .750E+01, .925E+01, .851E+00, .210E+00, .153E+00, .482E+01, .296E+02, .209E+01, .919E+01, .267E+01, .605E+01, .216E+00, .214E+01, .125E+02,
    3314             :       .122E+00, .753E+01, .334E+01, .779E+01, .856E+01, .727E+01, .639E+00, .650E+01, .459E+01, .217E+00, .527E+01, .183E+02, .898E-01, .186E+01, .154E+02, .409E+01, .289E+01, .162E+01,
    3315             :       .583E+01, .900E+00, .227E+01, .348E+01, .457E+00, .465E+01, .291E+02, .579E+01, .353E+02, .693E+01, .311E+01, .326E+02, .414E+00, .326E+02, .806E+01, .705E+01, .439E+00, .946E+01,
    3316             :       .775E+01, .215E+00, .324E+01, .145E+02, .384E+02, .436E+01, .916E+01, .787E+01, .101E+02, .300E+02, .163E+01, .593E-01, .102E+02, .359E+00, .560E+01, .843E+01, .288E+01, .112E+02,
    3317             :       .395E+02, .682E+01, .273E+02, .236E+01, .846E+01, .256E+00, .210E+00, .787E+01, .413E+01, .266E+02, .121E+02, .792E+01, .141E+01, .297E+00, .179E+02, .175E+02, .387E+01, .537E+01,
    3318             :       .343E-01, .247E+02, .166E+02, .265E+01, .398E+02, .659E+01, .103E+00, .130E+02, .138E+01, .390E+01, .119E+01, .780E+01, .222E+01, .254E+01, .223E+02, .514E+01, .233E+00, .137E+02,
    3319             :       .243E+01, .804E+01, .458E+01, .119E+02, .637E+01, .840E+01, .368E+01, .297E+00, .395E+02, .201E+02, .975E+00, .911E+01, .757E+01, .187E+02, .267E+02, .266E+01, .196E+02, .144E+02,
    3320             :       .492E+01, .245E+01, .175E+02, .220E+01, .614E+01, .464E+02, .182E+02, .345E+01, .172E+00, .538E+01, .441E+02, .481E+02, .899E+01, .813E+01, .767E+00, .734E+01, .149E+02, .283E+01,
    3321             :       .469E+01, .872E+01, .413E+02, .197E+01, .488E+02, .165E+02, .591E+01, .389E+02, .322E+01, .207E+02, .837E+01, .383E+02, .569E+00, .630E+01, .149E+02, .711E+01, .218E+02, .301E+01,
    3322             :       .154E+02, .446E+01, .139E+02, .272E+02, .175E+01, .135E+02, .818E+01, .119E+00, .172E+02, .568E+01, .299E+01, .354E+02, .121E+02, .384E+00, .688E+01, .240E+01, .321E+01, .109E+02,
    3323             :       .736E+01, .423E+01, .105E+02, .962E+01, .157E+02, .153E+01, .841E+01, .723E+01, .102E+02, .899E+01, .114E+02, .605E+01, .781E+01, .664E+01, .126E+02, .487E+01, .546E+01, .428E+01,
    3324             :       .367E+01, .304E+01, .239E+01, .925E+00, .170E+01, .228E+02, .139E+02, .545E+01, .379E+02, .151E+02, .276E+01, .326E+02, .163E+02, .835E+01, .220E+00, .239E+02, .299E+00, .665E+01,
    3325             :       .174E+02, .340E+01, .400E+01, .377E+01, .206E+02, .999E+01, .249E+02, .110E+01, .759E+01, .500E+01, .231E+01, .278E+02, .369E+02, .835E+01, .215E+02, .830E+01, .259E+02, .162E+02,
    3326             :       .619E+01, .354E+01, .379E+01, .224E+01, .895E+00, .122E+02, .221E+00, .116E+02, .477E+01, .736E+01, .222E+02, .209E+01, .464E-01, .257E+02, .402E+01, .263E+02, .596E+01, .181E+02,
    3327             :       .332E+01, .270E+02, .169E+02, .698E+00, .164E+02, .356E+01, .229E+02, .134E+02, .454E+01, .712E+01, .832E+01, .239E+02, .187E+01, .280E+02, .836E+01, .573E+01, .309E+01, .433E+02,
    3328             :       .415E+01, .355E+02, .103E+02, .512E+00, .223E+02, .366E+01, .235E+02, .105E+02, .431E+01, .442E+01, .688E+01, .377E+01, .165E+01, .153E+02, .156E+00, .228E+02, .165E+02, .207E+02,
    3329             :       .550E+01, .287E+01, .624E+01, .261E-01, .341E+00, .404E+02, .169E+02, .203E+02, .140E+02, .834E+01, .666E+00, .260E+02, .380E+01, .193E+02, .408E+01, .239E+02, .200E+01, .664E+01,
    3330             :       .143E+01, .236E+02, .836E+01, .179E+02, .173E+02, .264E+01, .527E+01, .166E+02, .192E+00, .481E+01, .446E+01, .153E+02, .211E+02, .198E+02, .397E+01, .224E+02, .184E+02, .386E+01,
    3331             :       .172E+02, .140E+02, .378E+02, .237E+02, .166E+02, .797E+00, .159E+02, .146E+02, .128E+02, .316E+02, .122E+01, .641E+01, .134E+02, .249E+02, .116E+02, .122E+02, .243E+02, .311E+02,
    3332             :       .104E+02, .110E+02, .979E+01, .920E+01, .861E+01, .802E+01, .744E+01, .685E+01, .626E+01, .566E+01, .942E+00, .506E+01, .175E+01, .248E+01, .444E+01, .317E+01, .382E+01, .261E+02,
    3333             :       .242E+01, .504E+01, .835E-02, .835E+01, .273E+02, .732E-01, .239E-01, .194E+02, .415E+01, .363E+01, .169E+02, .226E+02, .321E+02, .102E+01, .539E-01, .107E+00, .137E-01, .284E+02,
    3334             :       .617E+01, .837E+01, .354E+02, .521E+01, .258E+02, .115E+02, .220E+01, .246E+02, .481E+01, .101E+00, .293E+02, .167E+02, .728E+01, .160E+02, .114E+02, .434E+01, .340E+01, .471E+01,
    3335             :       .332E+02, .826E+00, .593E+01, .216E+02, .302E+02, .333E+02, .836E+01, .163E+00, .198E+01, .458E+01, .262E+00, .770E-01, .490E+01, .148E+01, .704E+01, .454E+01, .236E+00, .342E+02,
    3336             :       .248E+02, .318E+01, .310E+02, .639E+00, .168E+02, .837E+01, .247E+02, .569E+01, .314E+02, .167E+02, .177E+01, .231E+00, .435E+01, .256E+02, .237E+02, .474E+01, .607E+01, .269E+00,
    3337             :       .353E+02, .679E+01, .296E+01, .742E-01, .317E+02, .709E-01, .465E+00, .297E+02, .545E+01, .837E+01, .486E+01, .250E+02, .155E+01, .412E+01, .182E+02, .363E+02, .494E+01, .274E+01,
    3338             :       .281E+02, .293E+00, .137E+02, .322E+02, .655E+01, .659E+01, .838E+01, .307E+00, .168E+02, .168E+02, .269E+02, .276E+00, .521E+01, .708E-01, .458E+01, .135E+01, .259E+02, .389E+01,
    3339             :       .266E+02, .373E+02, .141E-01, .126E+02, .515E+01, .252E+01, .720E+01, .251E+02, .251E+02, .256E+02, .630E+01, .171E+00, .838E+01, .327E+02, .466E+01, .498E+01, .237E+02, .115E+01};
    3340             : 
    3341             : 
    3342             : 
    3343             : 
    3344             :     static const double el[666] = {
    3345             :       47.992,  201.070,   80.695,    20.970,  403.476,   96.488, 373.096,  346.143,  465.831,   56.122,  533.230,    2.479, 144.689,  269.119,  633.829,   10.918,  161.444,  597.026,
    3346             :       528.040,   24.154,  873.006,   29.412,   -1.141,   42.154, 36.210,  562.219,   36.210,   318.696,  710.385,   64.875, 126.578,  873.006,  293.800, 1007.542,  126.578,  111.655,
    3347             :       528.040,   92.269,  830.764,    2.479,   20.970,  791.917, 318.696,   15.776, 1201.024,  269.119,  597.026,  495.531, 961.308,   56.122,  124.286, 1103.275,  878.456,  789.551,
    3348             :       96.488,  246.415, 1151.523,   970.030,  161.444,   10.918, 463.904,   10.413,   83.602, 1066.664,  749.692,  160.884, 1103.176,  224.376, 1203.931, 433.743,  171.401,  214.385,
    3349             :       133.235,  214.385,   80.695,  262.143,   99.925,  710.944, 71.190,  373.096,  203.956,    24.154,   71.503, 1056.080, 1054.456,  314.622,  670.856, 202.030,   47.992,  404.618,
    3350             :       1468.777,   60.497, 1309.532,  29.412,  673.485,  371.767, 15.776,  201.070,  184.472,  1010.163,    7.094,   10.413, 376.839, 1414.500,   42.154,   20.970,   50.695,  637.184,
    3351             :       1420.106,  109.915,  433.521, 247.703,   36.210,  166.398, 965.476,  350.183,   56.122, 1361.417,   42.304,  602.135, 1535.682,  432.309,   80.695, 149.409,   64.875,  921.982,
    3352             :       1152.444,  499.834,    4.546, 749.522,  324.807, 1309.545, 35.013,  109.915,  568.270,   245.440,  297.893,  133.720, 7.094,  143.767,  879.708,   588.452,   665.910,  515.772,
    3353             :       300.599, 1258.872,  748.085,   92.269,  143.767,   28.991, 570.662,  447.926,  535.636,  119.189,  834.913,  838.635, 384.964,   10.413,  277.634,  182.237, 1209.406,  504.200,
    3354             :       352.596, 1762.755,  326.931,   15.776, 1647.669,  926.329, 105.904,  496.319,  124.286,  798.775,  182.237, 1255.269, 255.863,  645.977,  273.864, 1161.142,  294.532,  225.311,
    3355             :       833.017,  473.985,  411.812,  352.596, 1591.044,  225.775, 93.811,  475.541,  297.893,  760.120,  1022.276,  235.315, 182.730,   29.412, 1114.084,  543.785,   20.970,  160.884,
    3356             :       247.703,  272.973,  444.974,  144.689,  411.812, 1535.617, 82.939,  111.655,  722.675,  616.541,    83.602,  725.762, 202.030,  215.972,  225.311,   60.497,   42.304,   28.991,
    3357             :       1068.229,   24.151,   35.013,   50.695, 898.715,   71.190, 1122.701,   96.488, 1364.217,  126.578, 417.177, 1252.300, 810.008, 1145.361,  161.444, 1481.391,   73.272, 1889.583,
    3358             :       325.213,  693.810,   47.992,  202.030, 1480.527,  686.436, 201.070,  565.109,  348.327, 1043.139,  197.844,  160.884, 245.440,  725.762, 1023.579, 1362.921,  390.588,  294.532,
    3359             :       1601.443, 1428.363,  945.752,   36.210, 475.541,   64.817, 775.589,  921.325,  651.406, 1227.566,  348.327,  382.017, 180.924,  645.977,  810.008,  272.973,   71.503,  980.132,
    3360             :       124.286,  853.264,  247.703,  365.211, 1726.865, 1376.536, 57.569,  406.802, 1336.847,  617.584,   165.216, 1840.317, 1227.566,   20.531,  765.729,  937.890, 570.662,  469.937,
    3361             :       341.042,  443.377,   99.925,  406.802, 1325.908,  543.785, 584.969,  225.775, 1856.729,  683.191,  150.716,  638.657, 1781.346,  297.893, 1336.847,   24.151, 325.213,  537.709,
    3362             :       896.852,   56.122,  898.715,  318.083, 1276.481, 2161.296, 605.685,  553.562,  499.834,  133.235, 2020.257, 2306.952, 1475.389,  509.282,  137.427, 1723.571, 610.097,   28.991,
    3363             :       857.019, 1014.431, 1883.915,  296.334, 2457.134,  533.230, 1228.254, 1990.987,  523.363,  352.596, 616.541, 1752.348, 125.346,  171.401,  465.831, 1666.991,  382.017,   35.013,
    3364             :       687.083,  818.391,  469.937, 1450.531,  275.794,  403.476, 579.726,  433.521,  991.885, 1181.227,  494.372, 1625.625, 346.143,  114.474, 1611.607,   80.695,   42.304,  293.800,
    3365             :       214.385,  780.968,  716.943,  246.415,  768.647,  256.462, 203.956,  166.398,  269.119,  224.376,  318.696,  133.720, 184.472,  149.409,  373.096,  105.904,  119.189,   93.811,
    3366             :       82.939,   73.272,   64.817,   51.531,    57.569,  411.812, 432.309, 1135.402, 2129.603,  496.319,  466.588, 1503.814, 565.109,  693.810,  104.811,  443.377, 1022.276, 1557.420,
    3367             :       638.657,   50.695,  744.749,  709.735,  887.628,  314.622, 475.541,  221.426, 1985.376, 1047.354,  414.643, 1275.145, 2272.558,  775.589,  979.977,  734.190, 509.282,  945.442,
    3368             :       1452.634,  675.927,   71.190,  109.915, 205.721,  799.941, 926.329,  371.767, 1005.132, 1925.258, 1076.963,  390.482, 314.622, 1168.370,   83.602, 1691.096, 1402.037,  610.097,
    3369             :       643.324,  543.785, 1191.622,  191.224, 1040.644,   46.700, 1178.561,  433.521,  964.112, 1866.333, 818.206, 1066.664, 367.529,  579.726,  861.875, 1352.637,  611.926, 2486.072,
    3370             :       96.488, 2419.844, 1214.957,  177.936,   970.030,   51.531, 1284.748, 1714.714,  924.294,  111.655, 1808.601, 654.644, 345.784,  499.834,  834.913,  616.541, 1140.366,  878.456,
    3371             :       1304.435,  581.734,  616.541,  262.143, 165.855, 2335.219, 1298.194,  687.083,  887.628, 906.732, 1214.957, 1817.984, 57.569,  791.917,  885.678, 1395.502,   143.767, 1752.063,
    3372             :       325.246,  654.644,  952.665,  710.385,  570.662,  552.748, 1257.431,  633.829,  154.984,  144.689, 126.578,  562.219, 921.325,  833.017,   64.817, 1014.431,  749.522,  848.264,
    3373             :       670.856,  495.531, 2189.341, 1112.315, 1244.597, 1322.332, 597.026,  528.040,  433.743, 2571.460,  305.916, 1696.718, 463.904, 1214.957,  376.839,  404.618, 1510.800,  693.810,
    3374             :       324.807,  350.183,  300.599,  277.634,  255.863,  235.315, 215.972,  197.844,  180.924,  165.216,   89.110,  150.716, 96.356,  104.811,  137.427,  114.474,   125.346, 1322.332,
    3375             :       524.968, 1211.625,   42.154,  999.764, 1434.414,  145.320, 64.875,  645.977,   73.272,  812.053,  1409.234,  768.647, 734.190,  287.794,   92.269,  748.085,  214.385, 1551.176,
    3376             :       1642.567, 1047.955, 2048.485, 182.730, 1949.281, 1322.332, 498.394, 1630.624, 1167.017,  124.286, 1672.590, 1353.327, 2140.718,  979.977, 1841.534,  82.939,  777.046,  161.444,
    3377             :       775.589,  270.880, 1589.610,  725.762, 1798.629, 1912.683, 1097.297,  160.884,  473.026, 1123.608,1166.793,  786.922, 225.775,  182.237, 2079.468,   93.811,  182.237,  818.206,
    3378             :       1754.957,  743.241, 1929.265, 255.173, 1524.742, 1147.740, 854.771, 1537.848, 1781.952, 1466.548,  448.865,  202.030, 1081.399, 2084.992,  810.008, 105.904,  273.864, 1125.795,
    3379             :       861.875, 2019.408,  710.640,  755.516, 2064.470,  665.910, 240.675, 1656.290, 1487.281, 1199.324,  201.070, 1883.783, 425.910, 1040.388, 1076.963,  906.732,  119.189,  679.242,
    3380             :       1535.682,  247.703, 1434.414, 2204.219, 1960.541, 326.931, 1252.016,  227.385, 1584.251, 1644.715, 945.442, 1085.995, 1437.909,  725.313,   83.071,  404.162, 898.715, 1000.578,
    3381             :       1420.106,  952.665,  273.864, 1973.096, 133.720,  649.048, 384.964, 2017.088, 1309.532, 2225.119, 1902.865,  215.303, 1305.841, 2348.489,   89.110, 1389.732, 1203.931, 383.621};
    3382             : 
    3383             : 
    3384             :     static const double pi=3.141592654;
    3385             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
    3386             :     static const double mu=0.53;  //Debyes
    3387             :     static const double mmol=48.0;
    3388             : 
    3389             :     //double q=0.6531261*pow(tt,1.5);
    3390    10668574 :     double q=0.6531261*tt*sqrt(tt);
    3391             :     //    unsigned int vp;
    3392             :     unsigned int ini;
    3393             :     unsigned int ifin;
    3394    10668574 :     std::complex<double>  lshape;
    3395    10668574 :     std::complex<double>  lshapeacum;
    3396             : 
    3397    10668574 :     if(nu>999.9){
    3398             : 
    3399           0 :       return std::complex<double> (0.0,0.0);
    3400             : 
    3401             :     }else{
    3402             : 
    3403             :       // vp=vpIndex(nu);
    3404             : 
    3405             :       // if(pp<100){ ini=ini3[vp]; ifin=ifin3[vp]; }else{ if(pp<300){ ini=ini2[vp]; ifin=ifin2[vp]; }else{ ini=ini1[vp]; ifin=ifin1[vp]; } }
    3406             : 
    3407    10668574 :       ini=1;   ifin=666;
    3408             : 
    3409             :       //      cout << "  16O16O16O_V1 LINES: " << INI << " TO " << IFIN << ENDL;
    3410    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
    3411    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
    3412             : 
    3413             :       //      COUT << "16O16O16O_V1 LINES: " << INI << " TO " << IFIN << ENDL;
    3414    10668574 :       if(ifin==0||ifin<ini){
    3415             : 
    3416           0 :         return std::complex<double> (0.0,0.0);
    3417             : 
    3418             :       }else{
    3419             : 
    3420  7115938858 :         for(unsigned int i=ini; i<ifin+1; i++){
    3421             : 
    3422  7105270284 :           lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,brdO3air[i]*0.001,texpO3[i]),0.0);   // BROADENING EN GHZ/MB 13/11/2018
    3423             :           //  lshape=lineshape(nu,FRE[I],linebroadening(FRE[I],TT,PP,MMOL,0.0025,0.76),0.0);
    3424             : 
    3425  7105270284 :           lshape=lshape*flin[i]*exp(-el[i]/tt)*fre[i];
    3426  7105270284 :           lshapeacum=lshapeacum+lshape;
    3427             : 
    3428             :         }
    3429             : 
    3430    10668574 :         lshapeacum=lshapeacum*(nu/pi)*(picube8div3hcesu*pow(mu,2)/q)  // IMAGINARY PART: ABSORPTION COEFFICIENT IN CM^2
    3431    21337148 :           *(0.047992745509/tt);                                                               // REAL PART: DELAY IN RAD*CM^2
    3432             : 
    3433    10668574 :         return lshapeacum*1e-4;    // TO GIVE IT IN SI UNITS (M^2)    // (  RAD M^2 , M^2 )
    3434             : 
    3435             : 
    3436             :       }
    3437             : 
    3438             :     }
    3439             : 
    3440             :   }
    3441             : 
    3442             : 
    3443             : 
    3444             :   //////////////////////// OPACITY SOURCE nuMBER: 19 /////////////////////////////
    3445             : 
    3446    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_16o16o16o_v3(double tt, double pp, double nu){
    3447             : 
    3448             :     static const double fre[714] = {
    3449             :        39.09919, 46.68817,  56.31397,  59.37148,  70.67795,  71.31757, 81.40063, 81.69261,  81.84813,  81.85942,  83.18435,  93.32343, 96.01244, 97.45686,  98.08377,  98.33634,  99.87943, 100.44234,
    3450             :       101.44661,105.22493, 111.11407, 111.50954, 114.35847, 117.16976,118.96953,119.10333, 120.08235, 122.59458, 123.84501, 124.97200,134.00847,139.60779, 139.77685, 139.88235, 141.26423, 145.15114,
    3451             :       146.36667,146.86776, 151.08574, 152.36101, 154.25082, 156.51318,156.71500,159.07537, 160.62386, 163.14446, 169.65230, 174.22265,174.23933,176.21774, 177.91557, 180.72455, 183.85477, 183.89299,
    3452             :       184.95077,185.32046, 186.34011, 189.94632, 195.18668, 196.12409,196.41510,198.10334, 203.88183, 206.43895, 212.86355, 213.00711,214.83851,216.37864, 220.71547, 225.02702, 225.27681, 225.91657,
    3453             :       228.31577,231.99098, 233.34657, 233.89331, 234.35531, 234.55758,234.71210,237.14768, 240.41085, 243.06352, 246.51218, 246.71158,248.72084,249.14141, 254.70408, 256.37786, 257.23543, 257.77634,
    3454             :       258.30920,259.79627, 262.47687, 263.75388, 263.83197, 263.88321,264.47849,266.16883, 267.62942, 268.47544, 268.95182, 270.92335,272.73801,277.48932, 279.89566, 280.89113, 281.47260, 285.58829,
    3455             :       286.21130,286.62239, 290.03185, 294.58276, 296.82921, 301.03658,301.89343,306.93223, 308.52760, 309.85125, 311.13891, 312.56410,313.43416,315.12208, 316.44165, 320.61793, 322.68848, 326.05417,
    3456             :       326.34915,327.69918, 328.83138, 329.61263, 333.91337, 337.36735,337.55237,338.95325, 341.88537, 342.38055, 342.50280, 345.42507,345.57338,347.15354, 347.95418, 349.00327, 351.81312, 352.64428,
    3457             :       353.72509,354.13392, 354.53033, 358.74277, 360.31940, 360.87484,361.65922,362.86334, 364.52166, 364.84272, 368.66611, 371.41163,371.75879,371.98619, 372.68295, 372.82991, 374.28730, 379.89213,
    3458             :       382.77304,385.78790, 387.49541, 390.54582, 390.91931, 393.52106,393.96301,394.61634, 395.41512, 397.08168, 397.13736, 397.36822,397.38946,403.55134, 405.08268, 410.49289, 411.76524, 411.97287,
    3459             :       414.38491,416.48702, 416.71004, 419.17740, 419.84555, 420.58599,422.25817,423.26273, 426.66993, 427.73930, 430.06234, 430.66334,430.87705,432.99665, 436.04847, 437.20714, 437.23156, 442.55416,
    3460             :       444.10520,445.01674, 446.41875, 446.94336, 447.42916, 449.10612,451.04435,452.16602, 452.24386, 453.59450, 455.85826, 457.37440,459.19324,460.29664, 461.65025, 462.11152, 462.27195, 462.58702,
    3461             :       462.66605,462.89248, 463.25341, 463.39447, 464.90975, 465.01466,466.35671,466.87517, 467.81711, 468.22791, 468.54116, 468.92807,469.35946,470.95848, 471.06644, 472.19788, 472.23103, 472.36600,
    3462             :       472.91125,474.87294, 476.44574, 478.55581, 479.86914, 480.72140,481.07216,481.16483, 481.57203, 486.32859, 487.26936, 487.50281,487.66632,488.25556, 489.71659, 491.62835, 493.89180, 497.34217,
    3463             :       497.49977,497.94921, 498.67587, 500.07611, 500.60177, 500.78155,502.04290,502.96803, 506.29697, 509.02036, 510.19153, 513.05419,513.74153,513.77157, 513.81648, 518.91445, 519.44673, 520.44281,
    3464             :       521.80551,522.24840, 522.92457, 523.63012, 523.88596, 524.21201,524.99061,525.25294, 525.33421, 526.27144, 527.60158, 529.70612,530.61128,530.94345, 531.23091, 531.43282, 532.98698, 533.62161,
    3465             :       534.31710,534.59446, 536.74619, 536.98013, 537.89095, 538.77909,539.00010,539.86282, 544.96566, 546.52408, 547.56815, 549.24148,551.47300,551.90192, 552.42944, 553.11723, 553.48850, 556.48519,
    3466             :       559.67393,561.52013, 561.88766, 562.35447, 563.97990, 565.41560,567.75371,568.07788, 570.38955, 570.40853, 573.89276, 574.48101,574.78438,574.81063, 574.83960, 575.67912, 576.79970, 576.91325,
    3467             :       577.48476,578.59779, 581.51079, 581.80322, 581.97080, 582.24037,584.59055,585.12906, 585.98225, 586.55485, 587.01742, 589.49577,595.80764,597.47996, 599.06331, 599.60708, 599.83860, 600.32501,
    3468             :       602.84893,603.03063, 603.18300, 604.04251, 604.69219, 606.49093,607.40884,608.41303, 609.78758, 610.80310, 614.12519, 614.15603,614.66068,616.28081, 618.83159, 620.12619, 620.90570, 621.14914,
    3469             :       621.41401,623.57601, 625.05123, 625.79792, 626.78454, 628.20479,628.53712,628.90598, 629.45650, 630.72714, 631.44302, 632.94974,633.85593,634.02096, 634.86006, 635.31657, 636.67237, 638.36251,
    3470             :       639.78883,641.22369, 641.88357, 643.55294, 643.58506, 644.05509,644.16587,644.47503, 644.65275, 644.72177, 645.15818, 645.31835,645.55530,645.61980, 646.00423, 646.00924, 646.28600, 646.34514,
    3471             :       646.44747,646.45135, 646.49502, 646.53130, 647.53611, 650.97870,650.98302,651.22566, 654.01034, 654.04800, 654.84084, 656.29568,656.36728,659.21263, 659.46520, 660.73218, 661.58526, 663.86181,
    3472             :       664.87155,665.70228, 667.49634, 670.82056, 671.49939, 671.69956,671.96229,696.91242, 698.91918, 701.96621, 702.56173, 703.32398,703.84342,704.24695, 704.86177, 705.53353, 706.01042, 706.85680,
    3473             :       710.99343,713.41005, 713.89970, 714.93298, 716.87548, 720.52073,722.08691,722.44056, 722.57413, 722.81797, 723.54465, 724.78411,727.28295,727.97156, 729.30860, 730.24523, 730.27575, 730.84681,
    3474             :       739.26512,739.81978, 739.91878, 740.65338, 740.84549, 741.61408,742.59389,743.40501, 745.65618, 745.93991, 746.24695, 747.22711,747.88676,748.02926, 750.33083, 752.56660, 753.20158, 754.34819,
    3475             :       755.60374,756.14126, 756.62779, 764.87940, 767.52745, 769.76767,770.77792,771.81390, 772.33504, 775.46196, 775.98989, 776.65944,777.23539,777.81980, 779.36801, 780.40563, 780.93897, 781.40535,
    3476             :       781.41954,782.52219, 783.42052, 788.14706, 789.81805, 791.33108,792.81898,795.60420, 796.27541, 797.41357, 798.45957, 798.79600,799.12017,799.74738, 799.98925, 801.18407, 801.71940, 802.49344,
    3477             :       803.04415,804.37052, 805.69022, 805.85729, 805.97629, 806.25307,806.68396,810.98457, 811.21300, 813.00576, 814.73763, 816.86728,817.25565,817.44320, 817.57614, 818.23637, 818.39041, 819.76161,
    3478             :       819.96497,820.43049, 821.28228, 821.72759, 822.01158, 822.46491,823.48609,823.81236, 823.98136, 824.48118, 824.70817, 825.10636,825.68749,825.99029, 826.50233, 826.61637, 827.95207, 828.00829,
    3479             :       828.24161,828.36805, 828.60667, 828.87293, 829.10443, 829.26640,829.35812,829.49380, 829.73413, 829.89908, 830.04475, 830.10560,830.15182,830.23700, 830.29986, 830.34643, 830.37958, 830.39654,
    3480             :       831.54765,831.93698, 833.58635, 833.73926, 835.20152, 835.24269,838.98655,839.64079, 840.10371, 845.20198, 847.49134, 847.70500,848.50996,848.87457, 848.88063, 848.93878, 849.09005, 850.56316,
    3481             :       850.75028,853.41371, 854.33332, 855.92833, 856.03459, 856.82441,857.18087,861.12481, 863.78096, 864.17044, 865.62679, 868.57350,868.78011,869.98065, 870.03206, 870.57647, 870.61728, 872.49491,
    3482             :       873.10523,873.36309, 878.56200, 879.29868, 879.80749, 880.77698,882.08477,882.17679, 882.41792, 882.61098, 883.77057, 885.70311,888.62776,888.85785, 889.63331, 891.78422, 894.62064, 894.64526,
    3483             :       897.47757,897.75514, 900.64976, 900.82919, 903.68781, 904.25682,905.25492,906.48064, 907.33005, 907.65032, 908.43907, 911.07262,914.21020,915.09228, 915.85199, 916.21185, 917.06324, 919.56880,
    3484             :       919.89775,922.11594, 922.44111, 928.38607, 928.79238, 929.21043,930.07129,930.07477, 930.24522, 930.41045, 932.42488, 932.56140,932.88020,933.46307, 935.36704, 936.12485, 936.88095, 938.74141,
    3485             :       940.73759,940.78592, 942.51094, 943.78460, 946.37784, 946.44649,947.38721,950.15740, 952.73608, 953.74414, 953.87679, 954.16230,954.62620,956.08885, 956.46610, 957.77977, 958.10959, 958.13385,
    3486             :       960.35333,961.05773, 963.46976, 963.67305, 964.69648, 966.06562,969.05696,969.48407, 970.08086, 970.74781, 972.31740, 972.66903,972.83374,975.98704, 976.60894, 978.00527, 978.94204, 979.11532,
    3487             :       979.40697,979.45560, 979.87814, 981.01288, 981.50855, 982.98596,983.34043,983.76009, 983.86039, 984.87760, 985.16300, 985.20989,986.11031,986.97831, 988.15861, 988.78224, 988.87549, 988.96324,
    3488             :       989.28987,991.33885, 991.84738, 992.38406, 994.98341, 995.02088,996.38805,996.39151, 996.41823, 997.23313, 998.00653, 999.20740 };
    3489             : 
    3490             :     static const double texpO3[714] ={
    3491             :       0.79,0.77,0.78,0.77,0.80,0.80,0.77,0.77,0.76,0.80,0.78,0.76,0.77,0.76, 0.82,0.79,0.80,0.79,0.81,0.76,0.77,0.82,0.77,0.77,0.82,0.77,0.82,0.80,
    3492             :       0.81,0.77,0.77,0.80,0.76,0.82,0.76,0.82,0.76,0.78,0.81,0.83,0.77,0.77, 0.79,0.78,0.83,0.79,0.77,0.79,0.81,0.80,0.77,0.83,0.76,0.78,0.82,0.77,
    3493             :       0.76,0.76,0.79,0.83,0.78,0.76,0.81,0.83,0.77,0.80,0.78,0.77,0.78,0.76, 0.84,0.79,0.81,0.78,0.77,0.82,0.77,0.78,0.79,0.77,0.77,0.78,0.78,0.79,
    3494             :       0.77,0.79,0.78,0.80,0.81,0.77,0.79,0.82,0.78,0.83,0.77,0.84,0.77,0.76, 0.76,0.78,0.76,0.77,0.76,0.79,0.81,0.79,0.80,0.76,0.77,0.82,0.76,0.76,
    3495             :       0.77,0.77,0.79,0.77,0.80,0.78,0.79,0.82,0.76,0.79,0.83,0.77,0.77,0.78, 0.76,0.78,0.78,0.76,0.80,0.76,0.77,0.81,0.77,0.81,0.83,0.76,0.76,0.77,
    3496             :       0.83,0.80,0.72,0.80,0.80,0.78,0.76,0.81,0.79,0.79,0.79,0.76,0.77,0.81, 0.83,0.76,0.77,0.76,0.79,0.81,0.77,0.78,0.78,0.79,0.79,0.78,0.81,0.76,
    3497             :       0.80,0.83,0.82,0.79,0.80,0.77,0.76,0.78,0.78,0.76,0.79,0.78,0.76,0.79, 0.81,0.78,0.78,0.82,0.77,0.76,0.82,0.72,0.78,0.78,0.78,0.78,0.78,0.79,
    3498             :       0.84,0.80,0.77,0.81,0.82,0.76,0.77,0.84,0.78,0.77,0.82,0.77,0.78,0.77, 0.76,0.77,0.76,0.76,0.76,0.76,0.79,0.79,0.79,0.77,0.83,0.77,0.83,0.79,
    3499             :       0.77,0.80,0.84,0.79,0.83,0.77,0.78,0.77,0.82,0.77,0.79,0.84,0.76,0.78, 0.80,0.78,0.76,0.77,0.80,0.78,0.78,0.79,0.79,0.79,0.77,0.78,0.80,0.76,
    3500             :       0.82,0.82,0.78,0.80,0.83,0.81,0.76,0.76,0.77,0.78,0.76,0.79,0.78,0.83, 0.78,0.81,0.80,0.76,0.82,0.76,0.77,0.81,0.81,0.82,0.76,0.76,0.79,0.83,
    3501             :       0.76,0.80,0.79,0.76,0.81,0.77,0.76,0.79,0.76,0.79,0.76,0.77,0.79,0.76, 0.78,0.81,0.79,0.81,0.76,0.81,0.79,0.83,0.76,0.76,0.77,0.77,0.82,0.76,
    3502             :       0.80,0.81,0.78,0.79,0.84,0.76,0.80,0.79,0.76,0.76,0.76,0.81,0.76,0.80, 0.79,0.76,0.83,0.76,0.77,0.78,0.76,0.80,0.76,0.76,0.80,0.76,0.79,0.78,
    3503             :       0.76,0.76,0.76,0.80,0.79,0.81,0.80,0.82,0.80,0.76,0.76,0.77,0.80,0.78, 0.77,0.76,0.79,0.83,0.78,0.76,0.76,0.82,0.79,0.79,0.76,0.76,0.79,0.82,
    3504             :       0.76,0.76,0.82,0.81,0.84,0.76,0.77,0.78,0.81,0.76,0.76,0.80,0.77,0.78, 0.78,0.81,0.78,0.79,0.81,0.77,0.76,0.78,0.78,0.78,0.77,0.77,0.79,0.77,
    3505             :       0.77,0.77,0.77,0.82,0.79,0.76,0.76,0.76,0.79,0.80,0.80,0.80,0.82,0.76, 0.84,0.80,0.77,0.77,0.79,0.76,0.80,0.80,0.77,0.80,0.81,0.78,0.84,0.79,
    3506             :       0.76,0.78,0.83,0.80,0.76,0.82,0.82,0.76,0.81,0.83,0.77,0.83,0.80,0.79, 0.76,0.77,0.76,0.81,0.78,0.76,0.82,0.82,0.76,0.83,0.79,0.76,0.76,0.81,
    3507             :       0.81,0.83,0.77,0.76,0.77,0.83,0.76,0.81,0.82,0.80,0.83,0.76,0.79,0.78, 0.82,0.82,0.77,0.79,0.76,0.76,0.81,0.83,0.81,0.77,0.82,0.76,0.76,0.83,
    3508             :       0.78,0.76,0.80,0.81,0.81,0.79,0.76,0.78,0.81,0.76,0.82,0.81,0.83,0.82, 0.77,0.77,0.77,0.76,0.81,0.78,0.82,0.84,0.84,0.76,0.76,0.84,0.76,0.81,
    3509             :       0.79,0.84,0.76,0.80,0.76,0.80,0.82,0.76,0.81,0.80,0.77,0.81,0.81,0.76, 0.82,0.79,0.80,0.82,0.80,0.77,0.76,0.79,0.79,0.78,0.79,0.82,0.82,0.76,
    3510             :       0.79,0.79,0.72,0.83,0.78,0.78,0.78,0.82,0.79,0.78,0.78,0.78,0.76,0.77, 0.84,0.77,0.77,0.77,0.77,0.83,0.77,0.77,0.77,0.76,0.76,0.82,0.80,0.82,
    3511             :       0.76,0.76,0.76,0.76,0.84,0.77,0.76,0.77,0.77,0.76,0.82,0.81,0.78,0.76, 0.77,0.76,0.76,0.79,0.83,0.76,0.76,0.80,0.82,0.78,0.77,0.76,0.76,0.76,
    3512             :       0.76,0.84,0.77,0.82,0.83,0.77,0.76,0.76,0.78,0.83,0.78,0.76,0.80,0.82, 0.81,0.76,0.76,0.78,0.76,0.76,0.78,0.76,0.82,0.77,0.78,0.76,0.76,0.72,
    3513             :       0.78,0.83,0.76,0.76,0.79,0.81,0.78,0.76,0.79,0.76,0.76,0.78,0.83,0.77, 0.76,0.76,0.77,0.76,0.78,0.83,0.76,0.76,0.76,0.76,0.83,0.79,0.81,0.76,
    3514             :       0.79,0.76,0.76,0.83,0.76,0.83,0.76,0.77,0.76,0.76,0.77,0.76,0.84,0.79, 0.78,0.82,0.76,0.86,0.78,0.79,0.81,0.76,0.76,0.76,0.83,0.76,0.76,0.83,
    3515             :       0.77,0.76,0.80,0.76,0.77,0.78,0.83,0.76,0.83,0.76,0.78,0.82,0.76,0.76, 0.76,0.76,0.83,0.79,0.80,0.76,0.76,0.82,0.84,0.80,0.83,0.83,0.76,0.83,
    3516             :       0.76,0.78,0.76,0.82,0.82,0.77,0.82,0.76,0.81,0.81,0.76,0.77,0.81,0.76};
    3517             : 
    3518             : 
    3519             : 
    3520             :     static const double brdO3air[714] ={
    3521             :       2.1456,2.4120,2.3291,2.3143,2.1042,2.1042,2.5126,2.3735,2.0568,2.1130,2.3084,2.6250,2.4771,2.5570,2.0687,2.2018,2.1338,2.2166,2.0894,2.4948,
    3522             :       2.4386,2.0716,2.3676,2.4415,2.0716,2.3735,2.0598,2.1249,2.0775,2.3498,2.3912,2.1338,2.6901,2.0687,2.5658,2.0598,2.5155,2.2314,2.0775,2.0568,
    3523             :       2.4060,2.3498,2.2166,2.2492,2.0568,2.0657,2.3942,2.1456,2.0835,2.1130,2.4208,2.0568,2.5984,2.3232,2.0627,2.3113,2.5984,2.0627,2.1574,2.0568,
    3524             :       2.2669,2.6191,2.0894,2.0598,2.3439,2.0450,2.2877,2.4445,2.2788,2.5155,2.0598,2.1722,2.0953,2.2788,2.4711,2.0598,2.3113,2.2462,2.1870,2.2936,
    3525             :       2.3498,2.2196,2.3084,2.1722,2.3912,2.1870,2.2817,2.1042,2.0953,2.4415,2.1959,2.0627,2.2462,2.0598,2.4386,2.0598,2.4978,2.4948,2.0509,2.3291,
    3526             :       2.3000,2.2877,2.5570,2.2018,2.0894,2.1722,2.1130,2.5244,2.5244,2.0687,2.0065,2.4682,2.3498,2.3735,2.2166,2.4149,2.1249,2.2196,2.1515,2.0716,
    3527             :       2.5540,2.1574,2.0568,2.3735,2.3705,2.2433,2.6487,2.2403,2.2314,2.3000,2.1338,2.5836,2.3143,2.0775,2.3291,2.0835,2.0568,2.3000,2.0391,2.3942,
    3528             :       2.0568,2.1308,2.2729,2.1071,2.1308,2.2492,2.6428,2.1782,2.1456,2.1515,2.1959,2.6132,2.2936,2.0835,2.0568,2.3000,2.4208,2.5925,2.1722,2.1574,
    3529             :       2.2640,2.2669,2.1959,2.1574,2.1959,2.2610,2.0894,2.3000,2.1071,2.0598,2.1367,2.2078,2.1338,2.4445,2.0509,2.2196,2.2877,2.5540,2.1722,2.2166,
    3530             :       2.5392,2.1722,2.0953,2.2462,2.2344,2.0598,2.4711,2.0568,2.1160,2.3054,2.2344,2.3084,2.2344,2.2788,2.1604,2.1870,2.0598,2.1042,2.3113,2.1782,
    3531             :       2.0627,2.3000,2.4978,2.0598,2.1782,2.3498,2.0687,2.4859,2.3291,2.3912,2.3000,2.4415,2.4948,2.5570,2.5244,2.4682,2.1870,2.2018,2.2166,2.4149,
    3532             :       2.0835,2.3705,2.0983,2.1722,2.3291,2.1130,2.0687,2.1574,2.0983,2.4771,2.2492,2.2936,2.0687,2.5244,2.1515,2.0598,2.3000,2.2610,2.1130,2.2788,
    3533             :       2.0568,2.3498,2.1338,2.2877,2.2344,2.1841,2.1278,2.2166,2.4356,2.1426,2.1249,2.5540,2.1367,2.0716,2.2078,2.1130,2.0568,2.1574,2.3000,2.0450,
    3534             :       2.3735,2.3291,2.3000,2.1841,2.2314,2.0835,2.1782,2.1574,2.1338,2.3000,2.0627,2.5836,2.3883,2.0775,2.0953,2.0183,2.3000,2.3000,2.1604,2.0568,
    3535             :       2.3000,2.1308,2.1604,2.0627,2.0391,2.3942,2.3000,2.1130,2.0331,2.1426,2.4948,2.4060,2.0983,2.3000,2.2492,2.1782,2.1456,2.0598,2.3000,2.0835,
    3536             :       2.1397,2.0568,2.3000,2.3000,2.3439,2.4208,2.1367,2.6132,2.1071,2.0953,2.2669,2.1397,2.0687,2.3000,2.0864,2.1574,2.0183,2.0124,2.0243,2.0894,
    3537             :       2.3000,2.1190,2.0864,2.3000,2.0598,2.0509,2.4445,2.3025,2.0243,2.1308,2.0095,2.3000,2.1071,2.5836,2.0746,2.2877,2.0154,2.0331,2.3000,2.1130,
    3538             :       2.1515,2.0953,2.1130,2.0598,2.1900,2.0568,2.0065,2.4711,2.1190,2.2640,2.3439,2.5540,2.1722,2.0598,2.3084,2.0509,2.0450,2.1160,2.0657,2.1870,
    3539             :       2.3000,2.0183,2.1959,2.0598,2.0568,2.0509,2.0627,2.1663,2.0598,2.3000,2.4978,2.2196,2.1663,2.0065,2.3000,2.0539,2.5244,2.2462,2.3291,2.1782,
    3540             :       2.2788,2.1426,2.0835,2.3113,2.0568,2.2344,2.2078,2.2610,2.2936,2.3498,2.1841,2.3291,2.3912,2.3912,2.4149,2.0627,2.2018,2.4682,2.4948,2.5244,
    3541             :       2.1604,2.1900,2.1900,2.1130,2.0687,2.3000,2.0598,2.1190,2.5244,2.4978,2.1900,2.3000,2.0864,2.1900,2.3498,2.0450,2.1456,2.1278,2.0687,2.2166,
    3542             :       2.3000,2.2314,2.0835,2.1338,2.3000,2.1249,2.1249,2.3000,2.0775,2.0568,2.4445,2.0568,2.0272,2.1278,2.3000,2.3942,2.3000,2.0598,2.2492,2.3000,
    3543             :       2.0716,2.1071,2.3000,2.0983,2.1456,2.0391,2.3000,2.0835,2.0183,2.0568,2.4208,2.0065,2.4208,2.0835,2.0095,2.1456,2.1071,2.0983,2.0923,2.4356,
    3544             :       2.2078,2.2669,2.1160,2.1367,2.3942,2.1574,2.0331,2.0509,2.0894,2.0598,2.0124,2.4445,2.1367,2.0095,2.5836,2.0746,2.2877,2.3000,2.0716,2.0391,
    3545             :       2.0035,2.1722,2.0568,2.2403,2.0953,2.3000,2.0598,2.1574,2.0923,2.1249,2.4711,2.3498,2.3735,2.5540,2.1782,2.3084,2.0627,2.0598,2.0687,2.3000,
    3546             :       2.3000,2.0627,2.0124,1.9976,2.1870,2.0598,2.3000,2.1071,2.3000,2.1042,2.0627,2.3000,2.0479,2.1308,2.4978,2.1456,2.1663,2.0243,2.1249,2.1515,
    3547             :       2.1900,2.1071,2.1190,2.5244,2.3000,2.1397,2.1722,2.3291,2.1604,2.1160,1.9888,2.3000,2.1959,2.1841,2.3054,2.0746,2.2078,2.2196,2.2462,2.0598,
    3548             :       2.2018,2.3084,2.2610,2.2788,2.0302,2.2936,2.0598,2.3113,2.3291,2.3498,2.3705,2.0746,2.3912,2.4149,2.4415,2.4682,2.4948,2.0183,2.1130,2.0687,
    3549             :       2.0509,2.0183,2.3000,2.3000,2.0627,2.5244,2.3000,2.4978,2.3498,2.3000,1.9828,2.0272,2.3291,2.3000,2.3498,2.3000,2.0509,2.2166,2.0568,2.0568,
    3550             :       2.3000,2.1249,2.0716,2.2669,2.3113,2.0243,2.0391,2.3000,2.0391,2.0627,2.4711,1.9740,2.0598,2.3735,2.3000,2.3000,2.2314,2.0568,2.1959,2.0183,
    3551             :       2.1338,2.0006,2.0775,2.3000,2.0302,2.2788,2.0331,2.0627,2.2314,2.0331,1.9680,2.4445,2.2610,2.3000,2.3000,2.2729,2.2492,2.0568,2.0213,2.0302,
    3552             :       2.1456,2.0835,2.2877,2.0450,2.2018,2.0509,2.0450,2.2462,1.9592,2.4208,2.3000,2.3000,2.4208,2.3000,2.2669,2.0598,2.0154,2.0154,2.3000,2.0213,
    3553             :       1.9858,2.1574,2.0894,2.3000,2.1722,2.0568,2.3000,2.0568,2.3000,1.9532,2.0124,2.3942,2.0213,2.3000,2.4445,2.3000,2.0687,2.1456,2.2877,2.0598,
    3554             :       2.3853,1.9651,2.2196,2.1722,2.0953,2.3000,2.3000,2.0391,1.9444,2.3000,2.0331,2.0835,2.3735,2.3000,2.1249,2.3000,2.4711,2.2492,1.9799,2.0509,
    3555             :       2.0983,2.3000,2.3084,2.0627,2.0509,2.5540,2.0391,2.0302,1.9710,2.1870,2.1042,2.3000,2.0213,2.1160,2.0627,2.1042,2.0746,1.9355,2.0154,2.0923,
    3556             :       2.0154,2.1604,2.3000,2.1367,2.1071,2.3498,2.1249,2.3000,2.1574,2.1574,
    3557             :       2.3000,2.4978,2.1456,2.3000};
    3558             : 
    3559             : 
    3560             : 
    3561             :     static const double flin[714] = {
    3562             :       .450e+01, .515e+01, .527e+01, .274e+01, .934e+01, .103e+02, .244e+01, .259e+01, .740e+01, .100e+02, .515e+01, .309e+01, .715e+01, .706e+01, .124e+02, .743e+01, .978e+01, .717e+01,
    3563             :       .933e+01, .106e+02, .218e+01, .124e+02, .681e+01, .136e+02, .121e+02, .429e+01, .126e+02, .954e+01, .701e+01, .448e+01, .159e+02, .919e+01, .309e+01, .856e+01, .131e+01, .787e+01,
    3564             :       .154e+01, .665e+01, .116e+02, .141e+02, .102e+02, .173e+02, .865e+01, .628e+01, .128e+02, .900e+00, .369e+01, .872e+01, .112e+02, .107e+02, .334e+01, .137e+02, .522e+01, .875e+01,
    3565             :       .131e+02, .179e+02, .741e+00, .146e+02, .833e+01, .128e+02, .580e+01, .355e+00, .108e+02, .133e+02, .136e+02, .744e+00, .538e+01, .282e+01, .179e+02, .753e+01, .126e+02, .786e+01,
    3566             :       .104e+02, .250e+02, .240e+01, .129e+02, .206e+02, .290e+02, .101e+02, .153e+02, .163e+02, .324e+02, .491e+01, .121e+02, .123e+02, .744e+01, .110e+02, .993e+01, .118e+02, .885e+01,
    3567             :       .348e+02, .124e+02, .176e+02, .139e+02, .101e+02, .149e+02, .192e+01, .585e+01, .157e+02, .447e+01, .626e+00, .173e+02, .315e+01, .698e+01, .172e+01, .362e+02, .949e+01, .411e+01,
    3568             :       .148e+01, .120e+02, .145e+02, .614e+01, .400e+01, .130e+02, .653e+01, .794e+01, .905e+01, .170e+02, .366e+02, .116e+02, .103e+01, .118e+02, .140e+02, .354e+01, .952e+01, .137e+02,
    3569             :       .309e+01, .214e+02, .607e+01, .539e+00, .859e+01, .623e+00, .163e+02, .111e+02, .109e+02, .130e+02, .136e+02, .161e+02, .170e+02, .308e+01, .148e+02, .363e+02, .805e+00, .478e+02,
    3570             :       .433e+02, .481e+01, .335e+01, .515e+02, .814e+01, .384e+02, .166e+02, .260e+00, .120e+02, .107e+02, .132e+02, .157e+02, .262e+01, .387e+01, .334e+02, .540e+02, .200e+02, .515e+01,
    3571             :       .256e+02, .768e+01, .287e+02, .130e+02, .102e+02, .474e+00, .355e+02, .127e+02, .554e+02, .168e+02, .138e+02, .217e+01, .152e+02, .245e+02, .469e+01, .398e+01, .723e+01, .239e+02,
    3572             :       .487e+01, .162e+02, .976e+01, .208e+02, .137e+02, .123e+02, .172e+01, .148e+02, .556e+02, .305e+01, .178e+02, .423e+01, .145e+02, .175e+02, .299e+02, .676e+01, .158e+02, .930e+01,
    3573             :       .147e+02, .345e+02, .118e+02, .534e+01, .130e+01, .143e+02, .280e+02, .120e+02, .143e+02, .600e+01, .377e+01, .953e+01, .425e+00, .710e+01, .462e+01, .182e+01, .329e+01, .586e+01,
    3574             :       .346e+00, .630e+01, .300e+00, .826e+01, .667e+02, .106e+02, .550e+02, .203e+02, .129e+02, .884e+01, .707e+02, .377e+00, .618e+02, .445e+01, .241e+00, .152e+02, .114e+02, .890e+00,
    3575             :       .159e+02, .139e+02, .164e+02, .175e+02, .162e+02, .564e+02, .734e+02, .331e+01, .395e+00, .177e+00, .196e+02, .147e+02, .342e+02, .584e+01, .725e+01, .322e+02, .838e+01, .520e+00,
    3576             :       .509e+02, .109e+02, .216e+02, .402e+00, .134e+02, .336e+02, .160e+02, .748e+02, .286e+01, .115e+00, .398e+01, .234e+02, .537e+01, .539e+02, .975e+01, .359e+02, .792e+01, .187e+02,
    3577             :       .162e+02, .208e+00, .866e+01, .105e+02, .400e+00, .841e+00, .906e+00, .388e+00, .150e+02, .130e+02, .155e+02, .158e+02, .251e+02, .170e+02, .751e+00, .241e+01, .947e+00, .364e+02,
    3578             :       .750e+02, .241e+02, .514e+01, .466e+01, .385e+02, .643e-01, .492e+01, .407e+02, .746e+01, .638e+00, .966e+00, .100e+02, .265e+02, .125e+02, .391e+00, .151e+02, .103e+02, .198e+01,
    3579             :       .329e+02, .538e+01, .365e+02, .190e+02, .386e+01, .152e+02, .525e+02, .967e+00, .512e+00, .700e+01, .855e+02, .898e+02, .742e+02, .954e+01, .297e-01, .277e+02, .407e+02, .127e+01,
    3580             :       .121e+02, .146e+02, .156e+01, .122e+02, .802e+02, .328e+02, .928e+02, .379e+00, .157e+02, .570e+01, .427e+02, .400e+01, .653e+01, .743e+02, .110e+01, .283e+02, .294e+02, .908e+01,
    3581             :       .385e+00, .116e+02, .287e+02, .142e+02, .945e+02, .115e+01, .154e+02, .144e+02, .457e+01, .608e+01, .264e+02, .182e+02, .355e+01, .196e+02, .684e+02, .324e+02, .449e+02, .607e+01,
    3582             :       .364e+00, .727e+02, .236e+02, .862e+01, .512e+02, .184e+02, .112e+02, .162e+02, .137e+02, .919e+00, .779e+00, .210e+02, .294e+02, .169e+02, .947e+02, .470e+02, .646e+01, .184e+02,
    3583             :       .310e+01, .157e+02, .159e+02, .269e+00, .222e+02, .135e+02, .626e+02, .196e+02, .220e+02, .171e+02, .147e+02, .111e+02, .245e+02, .123e+02, .868e+01, .990e+01, .745e+01, .618e+01,
    3584             :       .561e+01, .485e+01, .344e+01, .187e+01, .270e+02, .155e+02, .295e+02, .815e+01, .107e+02, .158e+02, .132e+02, .319e+02, .446e+00, .687e+01, .199e+02, .349e+00, .326e+02, .342e+02,
    3585             :       .266e+01, .491e+02, .301e+02, .310e+01, .573e+02, .515e+01, .730e+00, .470e+01, .526e+02, .723e+01, .334e+00, .402e+02, .305e+02, .148e+02, .977e+01, .123e+02, .767e+01, .207e+02,
    3586             :       .533e+02, .270e+02, .920e+02, .182e+01, .207e+02, .370e+02, .424e+01, .551e+00, .258e+02, .418e+02, .923e+02, .485e+02, .677e+01, .202e+02, .144e+02, .931e+01, .554e+02, .119e+02,
    3587             :       .794e+01, .856e+02, .142e+01, .319e+02, .694e+02, .157e+02, .309e+02, .310e+02, .431e+02, .721e+01, .104e+00, .379e+01, .448e+02, .157e+02, .846e+01, .631e+01, .493e+02, .139e+02,
    3588             :       .885e+01, .114e+02, .575e+02, .104e+01, .415e+02, .795e+02, .739e+01, .443e+02, .335e+01, .160e+02, .352e+02, .415e+02, .595e+02, .585e+01, .135e+02, .371e+01, .838e+01, .397e+00,
    3589             :       .109e+02, .308e+02, .311e+02, .157e+02, .693e+00, .924e+01, .855e+01, .767e+01, .354e+02, .292e+01, .298e+02, .236e+02, .318e+02, .158e+02, .155e+02, .452e+02, .739e+02, .616e+02,
    3590             :       .539e+01, .130e+02, .571e-01, .327e+02, .679e+02, .792e+01, .105e+02, .131e+02, .395e+02, .300e+02, .390e+00, .392e+02, .365e+02, .488e+02, .418e+02, .274e+02, .339e+02, .444e+02,
    3591             :       .312e+02, .801e+01, .221e+02, .287e+02, .249e+02, .249e+01, .261e+02, .470e+02, .637e+02, .150e+02, .224e+02, .236e+02, .247e+01, .313e+02, .211e+02, .200e+02, .175e+02, .163e+02,
    3592             :       .494e+01, .100e+02, .163e+02, .151e+02, .222e+02, .139e+02, .125e+02, .127e+02, .115e+02, .103e+02, .902e+01, .494e+02, .775e+01, .642e+01, .504e+01, .355e+01, .191e+01, .459e+02,
    3593             :       .746e+01, .100e+02, .459e+02, .689e+02, .157e+02, .122e-01, .517e+02, .149e+00, .403e-01, .837e+01, .208e+01, .273e+00, .658e+02, .439e+02, .902e+01, .145e+02, .989e-01, .158e+02,
    3594             :       .539e+02, .449e+01, .121e+02, .318e+02, .365e-01, .700e+01, .954e+01, .109e+02, .195e+00, .645e+02, .558e+02, .288e-01, .465e+02, .315e+02, .875e+01, .679e+02, .341e+02, .168e+01,
    3595             :       .668e+02, .141e+02, .404e+01, .116e+02, .314e+01, .485e+02, .654e+01, .503e+02, .908e+01, .158e+02, .575e+02, .324e+00, .482e+02, .269e+02, .118e+02, .605e+02, .699e+02, .915e+01,
    3596             :       .130e+01, .136e+02, .158e+02, .147e+01, .360e+01, .111e+02, .590e+02, .469e+02, .609e+01, .861e+01, .927e+01, .318e+02, .129e+02, .316e+02, .570e+02, .461e+00, .720e+02, .954e+01,
    3597             :       .180e+00, .131e+02, .946e+00, .238e+02, .317e+01, .107e+02, .603e+02, .525e+02, .158e+02, .247e+02, .546e+02, .563e+01, .815e+01, .133e-01, .142e+02, .536e+02, .151e+02, .386e+02,
    3598             :       .658e+02, .741e+02, .482e+02, .994e+01, .473e+02, .126e+02, .625e+00, .158e+02, .505e+02, .158e+02, .275e+01, .102e+02, .927e+01, .380e+01, .576e+00, .518e+01, .769e+01, .613e+02,
    3599             :       .146e+02, .317e+02, .761e+02, .265e-01, .318e+02, .475e+02, .103e+02, .851e+02, .176e+02, .122e+02, .347e+00, .929e+01, .568e+02, .306e+02, .447e+02, .158e+02, .234e+01, .973e+01,
    3600             :       .514e+02, .942e+01, .565e+02, .596e+02, .589e+02, .474e+01, .723e+01, .141e+02, .623e+02, .419e+02, .477e+02, .199e+02, .483e+02, .782e+02, .475e+02, .458e+02, .649e+02, .258e+01,
    3601             :       .621e+02, .392e+02, .431e+02, .107e+02, .405e+02, .117e+02, .365e+02, .114e+00, .674e+02, .130e+00, .378e+02, .159e+02};
    3602             : 
    3603             :     static const double el[714] = {
    3604             :       14.829,   82.112,  161.460,   93.041,  590.668,  625.920, 37.736,   66.625,  243.057,  590.668,  178.249,     .048, 27.505,    6.005,  905.909,  341.078,  489.372,  315.800,
    3605             :       664.175,   16.705,   44.775,  820.852,  109.449,  32.113, 863.040,  126.185,  950.679,  555.244,  742.728, 141.501, 52.178,  522.109,     .048,  826.204,   21.755,  914.786,
    3606             :       27.505,  289.682,  820.852, 1187.079,   44.775,   76.841, 289.682,  266.353, 1043.227,  404.527,  109.449, 489.372, 780.284,  555.244,   95.891, 1137.927,    6.005, 141.501,
    3607             :       905.909,  106.043,   14.829, 1341.535,  458.464,1140.715, 243.057,   10.682,  740.615, 1090.097,   66.625, 466.967, 221.847,   82.112,  139.734,   16.705, 1243.178, 428.311,
    3608             :       702.390,  150.326,   70.546, 1043.386,  114.937, 190.473, 341.078, 1451.368,   84.353,  235.320,  201.216,1350.651, 58.609,  399.702,  178.249,  665.197,  625.920,   37.736,
    3609             :       284.806,  997.946,  177.876,  995.784,   32.113,1397.560, 59.505,   21.755, 1450.326,  182.241,  533.869,   93.041, 10.682,  372.060,    6.757,  338.862,  629.343,   14.829,
    3610             :       50.107,  953.661, 1344.976,   27.505,  164.163,   52.178, 345.798,   44.775,  594.596,  220.450,  397.425, 910.617, 41.643,  397.233, 1293.576,  147.499,   66.625,  219.672,
    3611             :       4.527,  124.007,  320.620,  605.230,  561.127,    34.529, 76.841,  868.749,   93.041,  701.393, 1243.388, 1684.808, 1564.176,  131.901, 1090.473,  460.440,  296.730,546.777,
    3612             :       477.190,  296.730,    6.757,  621.049,  528.809, 412.357, 267.449,   28.535,  124.007,  828.103, 1194.392,1627.500, 117.591,   10.682,  352.343,  699.931,  106.043, 273.988,
    3613             :       159.505,  497.734,  297.203,  159.505,  788.646, 681.045, 527.869, 1146.601,  783.350,  265.749,  458.130, 104.429, 1571.386,  246.986,  252.484,   14.829,  467.832,139.734,
    3614             :       21.755,  318.874,  750.400,  201.730,  199.523, 1100.005, 92.496, 1516.471,  871.237,  313.726, 1682.795,  232.158, 781.648,  161.460,  199.523,  439.153, 1189.967, 713.348,
    3615             :       126.185,  599.691, 1054.611, 1341.535,   81.745,1462.749, 177.876,   95.891,  244.044,   37.736,  213.047,  70.546, 761.313,   50.107,   34.529,   23.772,   28.535,  41.643,
    3616             :       318.874,  411.659,  267.449,   59.505, 1084.860,  82.112, 963.535,  316.455,  109.449,  677.501, 1188.464, 374.728, 985.917,   27.505,  220.450,  141.501, 1010.414,  72.198,
    3617             :       374.728, 1410.225, 1876.720,  178.249,  523.747, 891.714, 1296.648,  195.126,  435.018,  177.876, 219.672, 293.059, 244.044,  385.378,   58.609,  220.450,  642.852,  63.843,
    3618             :       802.327,  967.417,  265.749,  499.746, 1358.896, 675.897, 1817.083, 1409.332,  178.409,  139.734,1450.326, 316.455, 360.286, 1060.202,  717.824,  717.824,  609.403,1806.210,
    3619             :       866.672,   56.685,   84.353,  925.617,  568.917, 756.490, 841.476,  846.029,  346.556, 1308.763, 1758.638, 435.018, 371.768, 1294.255,  675.897,  162.886,  930.862, 267.449,
    3620             :       1526.443,  371.768,   20.190,   44.775, 293.059, 106.043, 336.402,  638.266,  577.153,  599.691, 1024.657, 885.016, 431.663, 1259.826,  642.531, 1701.385,  114.937, 148.562,
    3621             :       756.490,   23.772,  563.701,  594.060,  313.726, 404.527, 1161.216, 1122.864,  527.869, 546.102,1803.645, 1936.420, 1647.919,  845.613,   76.841, 496.118, 318.874, 1266.567,
    3622             :       1212.085, 1645.325,  135.433,  150.326, 1675.505,494.166, 2073.742,  720.590,  499.746,   28.535,  346.556,292.220, 516.249, 1552.086, 1161.216,  431.663,  429.677, 807.407,
    3623             :       460.440, 1165.539,  565.111, 1590.458, 2215.529, 123.500, 466.967,  190.473,   66.625,   34.529,  370.229, 956.442, 271.925, 1934.413, 1433.471,  841.476,  374.728, 487.594,
    3624             :       803.094, 1773.718,  315.800,  770.399, 1266.567,1403.322, 1120.190, 2019.973, 1536.784, 1060.202, 112.762, 266.353, 638.623,  235.320, 2361.700,  404.527,  41.643,  221.847,
    3625             :       252.827,  568.917,  182.241,  397.425, 669.044,  147.499, 1319.736,  243.057,  289.682,  201.216, 164.163, 117.591, 341.078,  131.901,   92.496,  104.429,   81.745,  72.198,
    3626             :       460.136,   63.843,   56.685,   50.720,  397.233, 533.869, 458.130,  734.587, 1076.036, 1959.185, 1484.303, 523.747, 103.218,   50.107,  284.806,  890.041,  496.118, 594.060,
    3627             :       234.925,  435.018,  716.637,  742.728, 1210.951, 433.875, 963.535,  408.810, 1107.172,  666.555,  981.432, 832.917, 799.138, 1841.177,  991.315, 1382.921,  70.546, 1050.936,
    3628             :       499.746,  397.425, 2392.169,  202.707, 2067.394, 565.111, 384.942,  871.237,  748.672, 921.752, 2666.957, 1008.443, 634.333, 1517.149, 1783.959,  950.748, 533.869, 1334.020,
    3629             :       82.112, 2244.549,  188.391, 1024.657, 2038.187,  681.045, 886.113,  460.440, 1015.150,   45.950, 284.806,  362.270, 914.786,  720.590,   95.891, 603.307, 1490.294, 1727.931,
    3630             :       911.376, 1286.313,  568.917, 175.269,  826.204, 2101.799, 50.720, 1113.086,  340.793, 2172.881,  527.869,  638.623, 605.230,  573.477, 1673.094,  124.007, 873.200,  783.350,
    3631             :       1239.800,  742.728,  977.551,  761.313, 163.341, 126.185, 109.449,   56.685,  664.175,  320.511, 832.917, 1150.128, 1122.864,  803.094, 2110.925,1215.538, 1963.991, 642.531,
    3632             :       544.843, 1619.448,  235.320,  590.668, 2176.847, 836.219, 1194.480,  742.728,  599.691,  522.109, 152.607, 781.648, 701.393, 1608.688,  866.672,  458.464, 625.920,  956.442,
    3633             :       555.244,   63.843, 2205.134,  489.372, 399.702,  301.424, 428.311, 1050.936,  681.045, 2050.156, 345.798,  372.060, 273.988, 1073.445,  320.620,  296.730, 252.484,  273.988,
    3634             :       517.404,  161.460,  232.158,  213.047, 1635.714, 195.126, 1566.993,  178.409,  162.886,  148.562,135.433, 1150.128, 123.500,  112.762,  103.218,   94.868,  87.712,  716.637,
    3635             :       800.433, 1150.355, 1322.486, 1831.187, 846.029,   32.113, 1253.989,  143.066,   52.178,  72.198, 283.532,  699.931, 720.590,  675.897,  141.501, 1990.574,  76.841,  890.041,
    3636             :       1362.492,  491.160, 1515.731, 1225.489, 320.620, 765.842, 1107.424,  201.730, 106.043, 1703.435, 1475.605, 190.473, 1433.910, 1173.786,   81.745, 761.313, 921.752,  266.834,
    3637             :       2319.798, 1932.181, 466.111, 1465.660, 159.505, 1731.447, 732.445,  799.138, 1065.686, 935.192, 1593.299,  139.734, 756.490, 1253.989,  246.986, 1580.761, 803.094,   92.496,
    3638             :       251.329, 1874.976,  981.432,  313.726, 442.257, 1416.782, 1715.546, 1549.795,  700.244,1025.143, 178.249, 1332.532, 297.203, 1278.568, 1463.170, 177.876,  846.029,  104.429,
    3639             :       621.049, 1818.961,  237.019, 2347.613, 419.597, 1369.096, 1842.318, 841.476, 1028.800, 1758.992, 886.113,  669.237, 985.794, 150.326,  352.343, 1350.651, 2272.061, 1015.150,
    3640             :       2467.044, 890.041, 1858.577, 117.591, 1670.127, 1764.134, 223.902, 1077.263, 1243.178, 412.357,  398.131, 1322.603, 81.749, 1294.255,  220.450,  639.425,  947.640, 1973.589,
    3641             :       2210.097, 1387.786, 935.192, 360.286, 1443.996, 1140.715, 131.901, 2734.393, 477.190, 1710.498,  211.978,  219.672, 930.862, 1362.492, 1043.227, 1126.848, 377.859, 1277.302,
    3642             :       1403.322,   87.712, 1517.149, 1635.714, 977.551, 610.807, 910.679, 2149.318, 1758.992,  950.679, 1294.255, 546.777, 1189.967, 981.432, 1794.894, 1090.473, 1886.955, 199.523,
    3643             :       2109.336, 863.040,  995.784, 147.499,  905.909, 1658.052, 780.284,  546.777, 2019.573,  201.247,  820.852, 1177.534    };
    3644             : 
    3645             :     static const double pi=3.141592654;
    3646             :     static const double picube8div3hcesu=4.1623755e-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755e-19
    3647             :     static const double mu=0.53;  //debyes
    3648             :     static const double mmol=48.0;
    3649             : 
    3650             :     //double q=1.321477358*pow(tt,1.5);
    3651    10668574 :     double q=1.321477358*tt*sqrt(tt);
    3652             :     //    unsigned int vp;
    3653             :     unsigned int ini;
    3654             :     unsigned int ifin;
    3655    10668574 :     std::complex<double>  lshape;
    3656    10668574 :     std::complex<double>  lshapeacum;
    3657             : 
    3658    10668574 :     if(nu>999.9){
    3659             : 
    3660           0 :       return std::complex<double> (0.0,0.0);
    3661             : 
    3662             :     }else{
    3663             : 
    3664             :       // vp=vpIndex(nu);
    3665             : 
    3666             : 
    3667             :       //      if(pp<100){
    3668             :       //        ini=ini3[vp];
    3669             :       //        ifin=ifin3[vp];
    3670             :       //      }else{
    3671             :       //        if(pp<300){
    3672             :       //          ini=ini2[vp];
    3673             :       //          ifin=ifin2[vp];
    3674             :       //        }else{
    3675             :       //          ini=ini1[vp];
    3676             :       //          ifin=ifin1[vp];
    3677             :       //        }
    3678             :       //      }
    3679             : 
    3680    10668574 :       ini=0;
    3681    10668574 :       ifin=712;
    3682             : 
    3683    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
    3684    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
    3685             : 
    3686    10668574 :       if(ifin==0||ifin<ini){
    3687             : 
    3688    10668574 :         return std::complex<double> (0.0,0.0);
    3689             : 
    3690             :       }else{
    3691             : 
    3692           0 :         for(unsigned int i=ini; i<ifin+1; i++){
    3693             : 
    3694           0 :           lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,brdO3air[i]*0.001,texpO3[i]),0.0);   // broadening en ghz/mb 13/11/2018
    3695             :           //     lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,0.0025,0.76),0.0);
    3696           0 :           lshape=lshape*flin[i]*exp(-el[i]/tt)*fre[i];
    3697           0 :           lshapeacum=lshapeacum+lshape;
    3698             : 
    3699             :         }
    3700             : 
    3701           0 :         lshapeacum=lshapeacum*(nu/pi)*(picube8div3hcesu*pow(mu,2)/q)  // imaginary part: absorption coefficient in cm^2
    3702           0 :           *(0.047992745509/tt);                                                               // real part: delay in rad*cm^2
    3703             : 
    3704           0 :         return lshapeacum*1e-4;    // to give it in si units (m^2)    // (  rad m^2 , m^2 )
    3705             : 
    3706             : 
    3707             :       }
    3708             : 
    3709             :     }
    3710             : 
    3711             :   }
    3712             : 
    3713             : 
    3714             :   //////////////////////// opacity source number: 17 /////////////////////////////
    3715             : 
    3716    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_16o16o16o_v2(double tt, double pp, double nu){
    3717             : 
    3718             : 
    3719             :     static const double fre[568] ={
    3720             :         9.07727, 23.55104, 27.94782, 28.91511, 34.91645, 36.14138, 39.09470, 39.14995, 39.45918, 41.92214, 42.42771, 43.05170, 43.19104, 44.68612, 51.27430, 51.46276, 51.91341, 58.38593,
    3721             :        58.95080, 65.26705, 67.70191, 71.44926, 72.47378, 72.65745, 78.48808, 80.19127, 80.82543, 83.73572, 90.32472, 90.78593, 97.93066,100.21080,100.58295,100.89980,103.15038,103.55400,
    3722             :       110.77082,111.78292,112.84448,114.01002,114.31108,117.92264,119.31675,119.89632,120.25361,121.67815,123.23891,126.11106,126.37692,134.49941,136.41544,136.53050,139.08888,139.98778,
    3723             :       144.85117,150.05959,153.13392,153.46995,158.53177,160.17711,160.41170,163.25498,166.19094,167.85177,168.96758,171.26122,173.30980,176.41264,177.02866,178.71439,182.18019,187.19189,
    3724             :       187.20753,188.89419,192.26473,199.25041,205.21400,206.49597,206.50472,209.52911,210.20611,215.13955,216.13514,219.94913,223.27097,231.24697,235.86802,239.29203,239.86189,241.20384,
    3725             :       241.27375,242.65594,243.38308,246.51308,246.55117,250.27164,252.74195,253.39203,254.28748,254.89639,259.23598,260.79831,263.20694,265.23459,268.20463,268.59950,268.66475,271.92656,
    3726             :       273.94763,275.17088,278.52175,279.28491,281.53528,284.39544,284.58697,289.00091,289.95894,291.34566,291.69631,295.49575,298.36513,299.48881,299.67969,302.54516,308.56663,311.62706,
    3727             :       313.57466,321.49663,322.00313,322.13866,326.04841,326.44759,326.48119,326.85763,335.68550,337.23994,337.63997,338.72216,340.67963,347.96406,348.56738,351.95719,352.27903,353.27259,
    3728             :       353.27531,356.42228,357.62791,358.75147,359.60594,359.95072,363.56725,363.67178,364.50469,365.30888,365.83550,370.05756,372.99022,373.92394,376.99006,378.28294,378.52150,382.08419,
    3729             :       383.28641,383.86066,384.64384,389.34978,391.32825,391.91619,399.25669,400.08503,401.06497,403.61106,404.34025,404.66594,404.71734,408.66675,409.88913,411.68025,415.19147,415.38469,
    3730             :       416.36244,418.03241,424.60925,425.95484,429.43828,430.87925,433.42947,434.57950,435.93016,436.98288,438.39050,439.58853,441.02566,441.72063,441.84878,444.99916,445.99381,450.03809,
    3731             :       451.88844,454.80788,455.38150,456.63503,461.83681,465.21550,465.36981,466.79322,466.99206,471.08938,471.27872,472.74159,474.81219,476.61241,477.33438,477.56059,477.64869,477.72138,
    3732             :       478.20375,479.26484,479.47713,480.34153,481.18059,481.21731,482.58103,484.41191,484.62709,487.39081,487.71963,489.21794,489.86122,492.23491,492.35197,492.47447,494.69928,496.00325,
    3733             :       500.01206,501.11381,503.40666,505.11475,505.66988,506.54347,510.83794,511.42366,512.82278,513.50809,516.86134,517.17709,517.37250,517.55106,517.93194,518.65200,520.35219,520.80363,
    3734             :       529.05481,529.96006,531.02625,531.49919,532.70088,538.29756,539.25725,542.51088,543.39544,544.48863,546.68750,548.58725,549.22050,552.77113,553.35113,554.67256,556.28781,560.46125,
    3735             :       562.76738,563.45056,564.93550,567.81325,568.83831,569.57150,570.14550,571.32831,574.31050,577.90487,580.21512,581.31881,581.53313,582.34819,583.89875,584.03556,584.63006,590.57006,
    3736             :       594.21044,594.31769,599.98038,602.54025,602.77669,603.07944,605.71838,606.73050,607.20313,612.38725,616.14838,617.39475,619.54994,620.03894,621.70319,625.28488,625.60675,626.65838,
    3737             :       626.72900,628.22719,628.28538,629.42363,630.10213,631.16613,631.90444,634.33369,639.34588,641.68387,644.84219,645.37494,648.50456,651.18725,651.82275,652.19394,652.27100,653.46219,
    3738             :       656.57475,656.68450,657.05119,658.54256,659.09250,662.82150,665.16688,665.44538,665.85600,666.15088,666.16975,666.29031,666.45525,666.55975,666.64750,667.05931,667.17300,667.33156,
    3739             :       667.42369,667.48806,667.69206,667.72163,667.85663,667.89350,667.93650,667.95325,669.58106,670.10263,670.26513,673.09713,674.88350,676.72750,678.41094,679.06831,681.94013,682.17938,
    3740             :       685.61463,685.88850,690.76550,691.11463,691.36369,691.47250,692.62288,695.32938,695.86706,697.08969,700.68500,702.22769,702.58563,707.27037,707.29169,708.63775,712.87313,714.34444,
    3741             :       715.15731,718.03356,718.26231,718.47687,720.52944,721.73394,724.43113,727.69156,729.85275,730.59444,732.56600,736.30963,740.01300,742.82113,743.40675,743.40950,745.64106,745.70506,
    3742             :       746.59163,747.28206,750.35725,751.59244,753.12038,755.23294,757.83163,760.27844,761.06781,761.76231,762.07981,765.64688,766.07113,768.29750,768.75225,770.86019,777.06050,777.70738,
    3743             :       778.51681,783.06950,783.33219,787.18413,788.87456,791.15450,791.24994,793.37881,794.06481,795.99775,796.73963,800.94869,803.88256,807.21200,807.76225,808.28281,809.49625,810.00688,
    3744             :       810.87494,811.23494,812.23619,812.57694,818.25144,818.45744,819.34931,819.85563,821.12081,822.55250,824.43763,829.21981,831.84294,832.15219,833.47400,833.78169,835.14306,837.89656,
    3745             :       837.94219,840.77938,843.43500,843.51525,844.60819,844.96056,845.40413,845.48931,845.52100,845.92763,846.23187,846.52600,847.44106,848.04375,849.66094,849.72650,851.09012,851.39838,
    3746             :       851.60544,852.33419,852.93706,854.22400,854.26869,854.53031,855.04231,855.35981,855.53963,856.20763,856.43656,856.68088,856.83106,856.83306,857.03013,857.26206,857.40594,857.53869,
    3747             :       857.62863,857.69963,857.74769,857.78075,857.80113,857.81263,858.64569,861.68419,863.28150,865.01181,868.52863,868.58619,868.63575,869.57456,869.84356,871.33350,875.92800,879.81600,
    3748             :       881.54875,883.33775,883.80025,886.19825,887.43269,888.59650,889.82831,893.56488,895.05750,895.06713,895.94994,901.07756,902.49744,902.74506,903.69513,905.07863,908.93988,913.88856,
    3749             :       914.18431,918.66119,920.20431,920.25206,923.23988,924.80769,928.03606,929.56475,930.31994,932.65425,933.58512,934.06669,939.15919,943.42700,945.42906,950.58156,950.74106,954.30694,
    3750             :       955.15775,955.54156,955.79763,959.18256,964.40975,964.82688,965.11381,965.47175,968.67456,970.28650,970.59038,972.06238,974.34419,974.56569,975.78650,978.83894,980.74506,983.23825,
    3751             :       984.28937,989.64163,990.02188,991.23331,992.93944,994.59844,995.73769,997.30344,997.36875,998.92956};
    3752             : 
    3753             :    static const double texpo3[568] ={
    3754             :      0.76,0.79,0.79,0.78,0.78,0.78,0.79,0.78,0.78,0.79,0.78,0.80, 0.79,0.76,0.80,0.80,0.77,0.79,0.77,0.76,0.81,0.77,0.78,0.77,
    3755             :      0.80,0.81,0.82,0.79,0.79,0.79,0.76,0.82,0.77,0.78,0.77,0.76, 0.80,0.81,0.76,0.78,0.82,0.79,0.80,0.76,0.76,0.82,0.77,0.83,
    3756             :      0.77,0.77,0.80,0.82,0.79,0.77,0.77,0.78,0.82,0.82,0.77,0.80, 0.83,0.77,0.76,0.83,0.77,0.80,0.76,0.79,0.81,0.76,0.77,0.82,
    3757             :      0.80,0.78,0.79,0.77,0.77,0.78,0.81,0.76,0.78,0.76,0.76,0.77, 0.79,0.81,0.78,0.78,0.78,0.77,0.77,0.83,0.78,0.78,0.79,0.77,
    3758             :      0.78,0.77,0.77,0.79,0.81,0.78,0.77,0.83,0.81,0.82,0.79,0.76, 0.77,0.79,0.78,0.76,0.78,0.76,0.80,0.77,0.78,0.76,0.79,0.82,
    3759             :      0.76,0.77,0.79,0.77,0.77,0.80,0.77,0.82,0.77,0.79,0.76,0.78, 0.77,0.79,0.79,0.80,0.76,0.77,0.77,0.80,0.83,0.78,0.76,0.78,
    3760             :      0.78,0.78,0.83,0.77,0.76,0.80,0.77,0.80,0.80,0.77,0.80,0.81, 0.79,0.81,0.76,0.79,0.79,0.78,0.81,0.83,0.79,0.79,0.77,0.76,
    3761             :      0.79,0.81,0.78,0.78,0.76,0.80,0.82,0.78,0.83,0.78,0.78,0.79, 0.77,0.80,0.79,0.81,0.78,0.78,0.79,0.76,0.83,0.84,0.78,0.78,
    3762             :      0.79,0.82,0.77,0.78,0.77,0.76,0.81,0.78,0.81,0.77,0.82,0.78, 0.77,0.79,0.77,0.79,0.77,0.83,0.77,0.76,0.76,0.76,0.80,0.76,
    3763             :      0.77,0.77,0.78,0.78,0.76,0.77,0.83,0.77,0.77,0.76,0.82,0.78, 0.79,0.77,0.79,0.76,0.79,0.78,0.76,0.80,0.80,0.78,0.77,0.79,
    3764             :      0.81,0.76,0.77,0.82,0.79,0.79,0.76,0.76,0.79,0.76,0.77,0.79, 0.80,0.76,0.77,0.79,0.82,0.76,0.82,0.76,0.78,0.79,0.80,0.83,
    3765             :      0.79,0.76,0.77,0.80,0.77,0.76,0.79,0.79,0.76,0.79,0.78,0.82, 0.80,0.76,0.83,0.76,0.79,0.77,0.77,0.80,0.78,0.81,0.80,0.76,
    3766             :      0.78,0.80,0.78,0.76,0.76,0.80,0.79,0.77,0.79,0.78,0.76,0.79, 0.78,0.79,0.76,0.83,0.76,0.80,0.76,0.80,0.76,0.76,0.76,0.79,
    3767             :      0.77,0.79,0.78,0.76,0.78,0.79,0.76,0.76,0.80,0.81,0.77,0.78, 0.79,0.77,0.77,0.81,0.78,0.78,0.77,0.79,0.81,0.78,0.80,0.78,
    3768             :      0.79,0.77,0.77,0.77,0.76,0.77,0.77,0.79,0.77,0.77,0.77,0.76, 0.76,0.76,0.79,0.78,0.81,0.80,0.76,0.76,0.80,0.77,0.76,0.77,
    3769             :      0.76,0.76,0.80,0.76,0.76,0.79,0.76,0.77,0.76,0.80,0.77,0.76, 0.76,0.76,0.76,0.76,0.76,0.80,0.76,0.76,0.79,0.76,0.77,0.76,
    3770             :      0.76,0.76,0.76,0.77,0.76,0.76,0.77,0.81,0.80,0.76,0.76,0.77, 0.80,0.77,0.81,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.81,0.76,
    3771             :      0.76,0.76,0.76,0.76,0.80,0.76,0.76,0.76,0.77,0.76,0.81,0.76, 0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,
    3772             :      0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76, 0.78,0.78,0.76,0.80,0.76,0.77,0.76,0.76,0.76,0.77,0.76,0.76,
    3773             :      0.76,0.76,0.76,0.79,0.77,0.76,0.76,0.76,0.79,0.80,0.76,0.79, 0.76,0.79,0.79,0.78,0.79,0.76,0.76,0.78,0.78,0.78,0.78,0.76,
    3774             :      0.78,0.78,0.77,0.77,0.77,0.77,0.77,0.77,0.77,0.77,0.76,0.76, 0.76,0.76,0.76,0.76,0.78,0.77,0.76,0.76,0.76,0.77,0.76,0.76,
    3775             :      0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.78,0.76,0.78, 0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,
    3776             :      0.76,0.79,0.76,0.76,0.78,0.79,0.76,0.77,0.76,0.76,0.76,0.79, 0.76,0.76,0.78,0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76,
    3777             :      0.76,0.76,0.79,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.76, 0.76,0.76,0.76,0.76};
    3778             : 
    3779             :    static const double brdo3air[568] ={
    3780             :      2.5984,2.1870,2.1722,2.2669,2.2492,2.1959,2.1456,2.3084,2.2403, 2.1574,2.1604,2.1130,2.1574,2.6901,2.1130,2.1338,2.2877,2.1278,
    3781             :      2.4859,2.5155,2.0953,2.3883,2.2877,2.3439,2.1042,2.0953,2.0627, 2.0983,2.1870,2.2018,2.5895,2.0627,2.4060,2.2314,2.3498,2.5244,
    3782             :      2.1249,2.0835,2.4682,2.3291,2.0687,2.0746,2.1130,2.7405,2.5392, 2.0687,2.4386,2.0598,2.4149,2.4771,2.1249,2.0716,2.2166,2.3439,
    3783             :      2.3705,2.2314,2.0627,2.0716,2.3735,2.0539,2.0598,2.3942,2.6428, 2.0568,2.3291,2.1338,2.5540,2.2018,2.0775,2.5925,2.3735,2.0598,
    3784             :      2.1042,2.2492,2.1456,2.2936,2.4208,2.2669,2.0835,2.5540,2.3025, 2.0154,2.6428,2.4445,2.1574,2.0894,2.2610,2.2877,2.2610,2.3143,
    3785             :      2.2936,2.0598,2.2344,2.3084,2.1722,2.4771,2.2078,2.4711,2.3705, 2.1722,2.0953,2.3084,2.4149,2.0568,2.0894,2.0598,2.1841,2.4682,
    3786             :      2.4978,2.1870,2.2344,2.5244,2.2640,2.5895,2.1042,2.4060,2.3291, 2.5570,2.1604,2.0627,2.4948,2.2640,2.2018,2.5244,2.4415,2.1130,
    3787             :      2.3498,2.0687,2.3912,2.1397,2.5540,2.2078,2.3439,2.2166,2.1456, 2.1249,2.6901,2.3498,2.3735,2.1338,2.0568,2.2314,2.5836,2.2255,
    3788             :      2.2255,2.2166,2.0568,2.3113,2.6191,2.1190,2.2877,2.1338,2.1900, 2.3942,2.1190,2.1663,2.1397,2.0775,2.6132,2.1604,2.1841,2.2788,
    3789             :      2.1456,2.0568,2.1604,2.1456,2.4208,2.5984,2.1841,2.0835,2.2403, 2.2669,2.5658,2.1900,2.1249,2.2462,2.0568,2.1782,2.2078,2.1574,
    3790             :      2.4445,2.1249,2.1900,2.0894,2.2877,2.2344,2.1604,2.3000,2.0598, 2.0598,2.2196,2.1959,2.1722,2.0687,2.4711,2.2610,2.5126,2.5155,
    3791             :      2.0953,2.3084,2.1663,2.2936,2.0598,2.1426,2.3291,2.1870,2.4978, 2.1959,2.3705,2.0923,2.4149,2.4682,2.5244,2.5570,2.1042,2.4948,
    3792             :      2.4415,2.3912,2.1604,2.3291,2.3000,2.3498,2.0923,2.3113,2.4623, 2.3000,2.0627,2.2788,2.1397,2.5244,2.2018,2.3000,2.1574,2.2462,
    3793             :      2.3000,2.1042,2.1130,2.2196,2.3498,2.1722,2.1456,2.3000,2.4386, 2.0687,2.1959,2.1130,2.5540,2.3000,2.2166,2.3000,2.4120,2.1278,
    3794             :      2.1249,2.0568,2.3735,2.1722,2.0598,2.3000,2.0716,2.5836,2.2314, 2.1515,2.1190,2.0568,2.1515,2.4948,2.3676,2.1338,2.3942,2.3000,
    3795             :      2.1278,2.0983,2.3000,2.0864,2.2492,2.1249,2.1308,2.3000,2.0568, 2.6132,2.1456,2.3735,2.4208,2.1900,2.3232,2.0894,2.1308,2.3000,
    3796             :      2.2669,2.1071,2.2877,2.3000,2.5836,2.1900,2.1574,2.4445,2.0746, 2.2817,2.3000,2.0657,2.2877,2.1397,2.3000,2.0568,2.3000,2.1071,
    3797             :      2.3000,2.0983,2.5540,2.3000,2.3000,2.1722,2.4711,2.1604,2.2433, 2.3000,2.3084,2.1841,2.3000,2.3000,2.0539,2.1574,2.5244,2.2078,
    3798             :      2.1870,2.3143,2.4978,2.1663,2.2344,2.2610,2.2936,2.2078,2.0775, 2.2196,2.0450,2.2462,2.1959,2.3291,2.2936,2.3113,2.3000,2.3705,
    3799             :      2.3498,2.1722,2.3912,2.4149,2.4415,2.4682,2.4948,2.5244,2.1515, 2.3291,2.1782,2.1308,2.3000,2.3000,2.1071,2.4978,2.3000,2.5244,
    3800             :      2.3000,2.3000,2.0716,2.3000,2.3000,2.1722,2.3000,2.3498,2.3000, 2.0361,2.4711,2.3000,2.3000,2.3000,2.5540,2.3000,2.3000,2.0272,
    3801             :      2.3000,2.3000,2.1426,2.3000,2.3735,2.3000,2.3000,2.3000,2.3000, 2.4445,2.3000,2.3000,2.2640,2.0183,2.0983,2.3000,2.3000,2.3942,
    3802             :      2.1130,2.4208,2.0479,2.3000,2.3000,2.3000,2.4356,2.3000,2.3000, 2.3000,2.0124,2.3000,2.3000,2.4356,2.3000,2.3000,2.0864,2.3000,
    3803             :      2.3000,2.3000,2.3942,2.3000,2.0035,2.3000,2.3735,2.5836,2.5836, 2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,
    3804             :      2.3000,2.3000,2.3000,2.3000,2.3000,2.5540,2.3000,2.3000,2.4711, 2.3000,2.3000,2.3000,2.3291,2.2166,2.3000,2.1900,2.3000,2.3498,
    3805             :      2.3000,2.3000,2.3000,2.5244,2.3000,2.3000,2.3000,2.3000,2.3000, 2.1397,2.4978,2.3000,2.3000,2.3000,2.1604,2.1308,2.3000,2.1515,
    3806             :      2.3000,2.1841,2.1722,2.2078,2.1959,2.3000,2.3000,2.2196,2.2344, 2.2462,2.2610,2.3000,2.2788,2.2788,2.2936,2.3113,2.3291,2.3498,
    3807             :      2.3705,2.3912,2.4149,2.4415,2.4682,2.4948,2.3000,2.3000,2.3000, 2.3000,2.2877,2.4978,2.3000,2.3000,2.3000,2.5244,2.0154,2.3000,
    3808             :      2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.4711,2.3000, 2.3084,2.3000,2.2492,2.3000,2.0302,2.3000,2.0568,2.3000,2.3000,
    3809             :      2.3000,2.4445,2.3000,2.3000,2.3000,2.3000,2.3000,2.2166,2.3000, 2.3000,2.1782,2.2166,2.3000,2.4208,2.3000,2.3000,2.3000,2.1870,
    3810             :      2.3000,2.3000,2.2669,2.3000,2.3000,2.3000,2.3000,2.3000,2.3942, 2.3000,2.3000,2.3000,2.3000,2.3000,2.1574,2.3000,2.3000,2.3853,
    3811             :      2.3000,2.3000,2.3000,2.3000,2.3735,2.3000,2.3000,2.3000,2.3000, 2.3000};
    3812             : 
    3813             : 
    3814             :    static const double flin[568] ={
    3815             :      .159e+01, .301e+01, .412e+01, .329e+01, .290e+01, .118e+01, .453e+01, .279e+01, .132e+01, .290e+01, .100e+01, .462e+01,
    3816             :      .415e+01, .512e+00, .240e+01, .268e+01, .139e+01, .833e+00, .147e+01, .278e+01, .524e+01, .284e+01, .268e+01, .136e+01,
    3817             :      .508e+01, .473e+01, .615e+01, .681e+00, .381e+01, .370e+01, .248e+01, .626e+01, .120e+01, .384e+01, .231e+01, .434e+01,
    3818             :      .496e+01, .473e+01, .597e+01, .237e+01, .622e+01, .555e+00, .486e+01, .100e+01, .896e+00, .608e+01, .413e+01, .635e+01,
    3819             :      .731e+01, .926e+00, .468e+01, .462e+01, .344e+01, .367e+01, .827e+01, .327e+01, .438e+01, .587e+01, .200e+01, .455e+00,
    3820             :      .405e+01, .185e+01, .201e+01, .647e+01, .884e+01, .446e+01, .561e+00, .445e+01, .567e+01, .391e+00, .565e+01, .659e+01,
    3821             :      .542e+01, .303e+01, .426e+01, .905e+01, .159e+01, .284e+01, .546e+01, .307e+01, .465e+01, .667e+01, .164e+00, .139e+01,
    3822             :      .404e+01, .525e+01, .900e+01, .261e+01, .130e+02, .735e+01, .109e+02, .646e+01, .149e+02, .878e+01, .383e+01, .424e+01,
    3823             :      .165e+02, .115e+01, .680e+01, .516e+01, .504e+01, .239e+01, .503e+01, .697e+01, .592e+01, .625e+01, .176e+02, .351e+01,
    3824             :      .937e+00, .361e+01, .880e+01, .216e+01, .578e+01, .854e+00, .483e+01, .555e+01, .216e+01, .145e+01, .183e+02, .604e+01,
    3825             :      .251e+01, .922e+01, .339e+01, .714e+00, .344e+01, .461e+01, .194e+01, .582e+01, .427e+01, .184e+02, .502e+00, .855e+01,
    3826             :      .703e+01, .317e+01, .599e+01, .439e+01, .149e+01, .501e+01, .172e+01, .561e+01, .738e+01, .295e+01, .302e+00, .709e+01,
    3827             :      .651e+01, .112e+02, .682e+01, .564e+01, .167e+01, .183e+02, .868e+01, .417e+01, .240e+02, .149e+01, .218e+02, .258e+02,
    3828             :      .194e+02, .539e+01, .126e+00, .272e+01, .831e+01, .616e+01, .271e+02, .661e+01, .170e+02, .395e+01, .127e+01, .179e+01,
    3829             :      .147e+02, .517e+01, .105e+02, .250e+01, .211e+01, .179e+02, .278e+02, .659e+01, .639e+01, .133e+02, .126e+02, .373e+01,
    3830             :      .105e+01, .696e+01, .861e+01, .495e+01, .228e+01, .107e+02, .813e+01, .280e+02, .617e+01, .785e+01, .693e+01, .124e+02,
    3831             :      .351e+01, .719e+01, .836e+00, .914e+01, .263e+01, .208e+01, .473e+01, .205e+01, .174e+02, .772e+01, .595e+01, .153e+02,
    3832             :      .642e+01, .328e+01, .628e+00, .720e+01, .520e+01, .278e+02, .402e+01, .284e+01, .160e+01, .884e+00, .451e+01, .223e+01,
    3833             :      .342e+01, .457e+01, .144e+02, .183e+01, .330e+02, .570e+01, .350e+02, .682e+01, .319e+01, .305e+02, .573e+01, .792e+01,
    3834             :      .801e+01, .431e+00, .306e+01, .365e+02, .103e+02, .899e+01, .279e+02, .811e+01, .429e+01, .100e+02, .161e+01, .740e+01,
    3835             :      .170e+02, .374e+02, .227e+01, .551e+01, .110e+02, .174e+02, .252e+00, .252e+02, .283e+01, .272e+02, .382e+01, .165e+02,
    3836             :      .406e+01, .839e+01, .139e+01, .119e+02, .800e+01, .226e+02, .529e+01, .101e+00, .261e+01, .754e+01, .794e+01, .651e+01,
    3837             :      .126e+02, .249e+01, .454e+01, .384e+01, .117e+01, .203e+02, .122e+02, .185e+02, .507e+01, .195e+02, .238e+01, .166e+02,
    3838             :      .133e+02, .266e+02, .629e+01, .261e+01, .361e+01, .233e+01, .958e+00, .183e+02, .536e+01, .944e+01, .765e+01, .484e+01,
    3839             :      .216e+01, .139e+02, .607e+01, .165e+02, .277e+01, .790e+01, .339e+01, .754e+00, .206e+02, .630e+01, .462e+01, .216e+02,
    3840             :      .194e+01, .148e+02, .144e+02, .897e+01, .585e+01, .773e+01, .904e+01, .142e+02, .295e+01, .259e+02, .163e+02, .316e+01,
    3841             :      .559e+00, .134e+02, .740e+01, .439e+01, .172e+01, .120e+02, .334e+02, .562e+01, .226e+02, .148e+02, .314e+01, .107e+02,
    3842             :      .294e+01, .225e+01, .378e+00, .789e+01, .949e+01, .829e+01, .712e+01, .867e+01, .110e+02, .100e+02, .236e+02, .886e+01,
    3843             :      .112e+02, .595e+01, .769e+01, .653e+01, .417e+01, .479e+01, .537e+01, .125e+02, .420e+01, .361e+01, .299e+01, .235e+01,
    3844             :      .167e+01, .909e+00, .137e+02, .150e+01, .778e+01, .148e+02, .306e+02, .540e+01, .160e+02, .333e+01, .272e+01, .216e+00,
    3845             :      .151e+02, .171e+02, .163e+02, .161e+02, .253e+02, .101e+02, .395e+01, .129e+01, .182e+02, .247e+02, .354e+01, .518e+01,
    3846             :      .281e+02, .249e+01, .840e-01, .192e+02, .789e+01, .257e+02, .782e+01, .372e+01, .118e+02, .101e+02, .108e+01, .153e+02,
    3847             :      .201e+02, .495e+01, .259e+02, .370e+01, .227e+01, .618e+01, .206e+01, .267e+02, .208e+02, .350e+01, .127e+02, .879e+00,
    3848             :      .136e+02, .393e+01, .185e+02, .160e+02, .473e+01, .240e+02, .205e+01, .155e+02, .785e+01, .595e+01, .277e+02, .215e+02,
    3849             :      .789e+01, .350e+01, .327e+01, .686e+00, .156e+02, .222e+02, .450e+01, .184e+01, .404e+01, .573e+01, .287e+02, .221e+02,
    3850             :      .431e+01, .359e+01, .305e+01, .503e+00, .206e+02, .156e+02, .428e+01, .206e+02, .787e+01, .162e+01, .297e+02, .176e+02,
    3851             :      .160e+02, .115e+02, .191e+02, .551e+01, .790e+01, .372e+01, .283e+01, .226e+02, .336e+00, .147e+02, .177e+02, .405e+01,
    3852             :      .469e+01, .180e+01, .141e+01, .164e+02, .307e+02, .433e+01, .528e+01, .151e+02, .157e+02, .389e+01, .261e+01, .195e+02,
    3853             :      .182e+02, .197e+02, .208e+02, .139e+02, .189e+00, .170e+02, .221e+02, .157e+02, .126e+02, .144e+02, .233e+02, .132e+02,
    3854             :      .229e+02, .114e+02, .120e+02, .102e+02, .108e+02, .383e+01, .789e+01, .964e+01, .906e+01, .848e+01, .790e+01, .317e+02,
    3855             :      .732e+01, .245e+02, .674e+01, .615e+01, .557e+01, .497e+01, .437e+01, .375e+01, .311e+01, .244e+01, .172e+01, .925e+00,
    3856             :      .121e+01, .228e+02, .506e+01, .257e+02, .508e+01, .407e+01, .159e+02, .791e+01, .239e+01, .720e-01, .267e+02, .360e+01,
    3857             :      .328e+02, .218e+02, .101e+01, .232e+02, .158e+02, .483e+01, .277e+02, .425e+01, .217e+01, .453e+01, .167e+02, .550e+01,
    3858             :      .130e+02, .790e+01, .338e+02, .338e+01, .812e+00, .461e+01, .249e+02, .445e+01, .792e+01, .195e+01, .239e+02, .159e+02,
    3859             :      .348e+02, .597e+01, .316e+01, .158e+02, .152e+01, .629e+00, .438e+01, .464e+01, .174e+01, .358e+02, .792e+01, .651e+01,
    3860             :      .280e+02, .294e+01, .464e+01, .458e+00, .416e+01, .260e+02, .270e+02, .189e+02, .483e+01, .793e+01, .153e+01, .539e+01,
    3861             :      .265e+02, .368e+02, .715e+01, .159e+02, .272e+01, .450e+01, .151e+00, .394e+01, .250e+02, .148e+02, .503e+01, .792e+01,
    3862             :      .133e+01, .516e+01, .378e+02, .793e+01};
    3863             : 
    3864             : 
    3865             :    static const double el[568] ={
    3866             :      11.564,  347.469,  404.758,  225.711,  246.123,   182.264, 465.222,  184.019,  144.105,  404.786,  225.062,  563.532,
    3867             :      433.125,    3.654,  534.637,  467.128,  110.406,  272.396, 49.168,   22.065,  671.848,   97.668,  201.919,    81.410,
    3868             :      635.130,  635.048,  918.018,  324.278,  374.061,  347.439, 3.596,  962.487,   56.969,  270.353,  145.945,     12.026,
    3869             :      529.279,  711.631,   25.180,  162.424,  874.309,  380.636, 598.169,     .041,   30.624,  918.055,   37.180, 1008.843,
    3870             :      43.130,   37.240,  563.548,  793.142,  319.819,   127.676, 65.742,  295.092,  879.744,  874.328,  127.685,   441.506,
    3871             :      971.495,  112.958,    3.617, 1104.538,   92.984,  529.274, 22.075,  319.826,  832.197,   17.016,   57.049,   962.509,
    3872             :      598.108,  270.327,  496.865,  124.829,   97.643,  247.781, 790.981,   12.036,  162.403, 1153.066,   11.618,   84.935,
    3873             :      465.276,  751.192,  161.170,  225.706,  172.479,   81.414, 134.411, 1104.844,  215.410,  101.059,  435.157,   25.179,
    3874             :      263.060,   72.429,   72.686,  374.056,  712.448,  205.373, 49.157, 1055.560,  671.817, 1057.798,  315.395,    30.638,
    3875             :      61.841,  406.083,  202.022,   16.985,  201.877,     8.340, 675.130,   43.118,  185.872,   11.606,  372.289, 1011.906,
    3876             :      22.069,  110.415,  378.405,   52.068,   37.179,   638.832, 167.838,  967.257,   57.033,  433.727,   43.639,  247.320,
    3877             :      65.718,  351.800,  433.076,  603.901,    5.782,    81.430, 150.936,  923.886, 1153.357,  326.494,   36.379,  246.031,
    3878             :      750.331,  144.080, 1311.622,  110.468,    8.327,  499.710, 92.937,  570.032,  589.592,  135.253,  517.028,   666.925,
    3879             :      449.184,  881.639,   30.392,  302.330,  297.218,  144.047, 748.890, 1260.962,  386.324,  537.498,  120.803,   11.575,
    3880             :      328.222,  840.683,  124.836,  279.413,   16.978,  570.163, 835.460,  182.270, 1211.612,  182.226,  275.157,  506.148,
    3881             :      107.501,  496.921,  295.005,  800.840,  257.673,  227.103, 351.481,  926.626, 1163.461, 1256.110,  225.043,  161.185,
    3882             :      476.016,  833.683,   95.477,  184.025,   30.577,   22.083, 762.294,  237.154,  645.127,  145.966, 1116.416,  225.054,
    3883             :      112.947,  446.978,   84.569,  272.372,   84.863, 1022.193, 61.793,   43.707,   30.372,   25.561,  724.957,    36.353,
    3884             :      52.030,   72.479,  202.069,  217.828, 1146.987,    97.686, 1253.920,  127.632,   49.222, 1044.889, 1070.673, 162.401,
    3885             :      410.270,   74.956,  419.251, 1365.445,  348.538,  201.875, 947.483,  565.530,  688.720,  246.038,  199.811,  324.269,
    3886             :      724.463, 1481.535,   37.167, 1026.034,  294.973,  272.358, 66.549,  854.940,  392.722, 1122.087,   72.706,   247.384,
    3887             :      653.788, 1363.644,  182.893,  348.570,  921.913,  767.344, 982.698,   59.341,  367.499,  380.646,  473.541, 1379.350,
    3888             :      406.719,   21.949,  101.121,  620.057,  167.280,  684.679, 406.768,  297.136,  940.564,  324.226,  343.377,  808.142,
    3889             :      469.614, 1226.457, 1328.814,   25.541,  587.530,   56.977, 152.767,  607.128,  134.353,  638.947,  441.518,  899.633,
    3890             :      320.458,  537.053, 1279.381,  534.558,   30.347,  541.232, 556.205,  139.557,  351.434,  172.485,  859.804,  380.645,
    3891             :      298.741,  467.118,  609.038, 1014.866, 1231.250,  507.000, 1475.996,  469.624,   36.421, 1335.267,  896.334, 526.083,
    3892             :      127.448,  404.731,  215.390,  821.278,  278.226,  347.401, 1506.150, 1184.321,  410.291,  685.673,   43.669, 295.112,
    3893             :      497.163,   81.357,  116.640,  613.468,  247.742,  205.363, 167.850,  263.037,  717.017,  270.303,  441.502,  225.696,
    3894             :      319.788,  135.283,  185.879,  150.859,  783.954,  107.546, 120.741,  374.038,   95.429,   84.627,   74.921,   66.519,
    3895             :      59.317,   53.316,  433.138,  259.013,  576.905,   496.969, 1389.083, 1138.595,  565.614,   51.982,  469.444, 107.033,
    3896             :      766.768,  638.955,  537.020,  989.004, 1448.392,  315.386, 747.831,  240.901,  716.975,  473.517,   61.844, 1094.070,
    3897             :      1277.053,  442.928,   98.627,  799.662,  690.158, 506.988, 651.349,  712.911,  372.300, 1112.489,  224.091,  852.433,
    3898             :      887.103, 1050.747, 1170.143,   72.407,  417.612, 1456.133, 110.455,  541.220,  979.192,  679.192,  799.684,  208.381,
    3899             :      433.739,   84.906,  609.058, 1086.099, 1008.625, 1068.224, 393.499,  942.681,  730.243, 1405.610,  576.895, 1075.823,
    3900             :      771.403,   48.496,  646.674,  193.973,  499.775,  971.444, 967.705,  370.587,   97.674, 1356.289,  613.508, 1176.998,
    3901             :      112.894,   53.291,  615.359,  180.666,  879.730, 1037.328, 927.887,  685.627,  813.701,  348.976,  651.317,  570.193,
    3902             :      1187.551, 1214.934,  793.186, 1308.169,  857.097,  59.287, 585.244, 1282.820,  168.659,  887.090,  711.600,  889.370,
    3903             :      145.944,  144.029,  328.466,  635.051,  690.185,  127.653, 1261.251,  563.515, 1136.487,   66.483,  556.331, 833.714,
    3904             :      750.393,  645.088,  921.887,  496.867,  157.853,  671.839, 1014.795,  598.166,  435.188,  529.285, 1112.519, 465.205,
    3905             :      1393.095,  378.360,  406.031,  326.469,  351.767, 852.054, 901.630,  302.314,  279.406,  257.674,  237.163,  730.251,
    3906             :      217.844, 1214.944,  199.734,  182.923,  167.216,  152.810, 139.505,  127.502,  116.600,  106.998,   98.597,   91.396,
    3907             :      309.256,  766.811, 1215.534, 1322.151,  183.982,   74.979, 1293.577,  947.232,  528.619,  148.147, 1433.926, 815.940,
    3908             :      771.356,  724.370,  291.148, 1507.933, 1240.174, 1171.018, 1550.459,   84.579,  502.107,  162.407,  979.165, 227.018,
    3909             :      1322.150,  994.038,  813.693,  781.026,  274.241,1127.703, 852.489,   95.474, 1041.900,  476.897,  808.154, 1403.979,
    3910             :      857.023,  275.150,  747.314, 1348.302,  182.257,  258.634, 1085.589,  107.484,  452.788,  901.640, 1090.933, 328.262,
    3911             :      1537.221,  714.802,  201.890,  244.127, 1044.676, 896.356, 942.642, 1075.825,  120.771, 1140.994,  429.879, 1442.209,
    3912             :      1421.499,  947.188,  386.230, 1460.983,  683.592,  85.372, 230.921, 1005.064, 1310.746, 1433.988,  135.206,  449.226,
    3913             :      408.172, 1394.096,  993.993, 1192.218};
    3914             : 
    3915             : 
    3916             :     static const double pi=3.141592654;
    3917             :     static const double picube8div3hcesu=4.1623755e-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755e-19
    3918             :     static const double mu=0.53;  //debyes
    3919             :     static const double mmol=48.0;
    3920             : 
    3921             :     //double q=0.647739935*pow(tt,1.5);
    3922    10668574 :     double q=0.647739935*tt*sqrt(tt);
    3923             :     //    unsigned int vp;
    3924             :     unsigned int ini;
    3925             :     unsigned int ifin;
    3926    10668574 :     std::complex<double>  lshape;
    3927    10668574 :     std::complex<double>  lshapeacum;
    3928             : 
    3929    10668574 :     if(nu>999.9){
    3930             : 
    3931           0 :       return std::complex<double> (0.0,0.0);
    3932             : 
    3933             :     }else{
    3934             : 
    3935             :       // vp=vpIndex(nu);
    3936             : 
    3937             :       //      if(pp<100){
    3938             :       //        ini=ini3[vp];
    3939             :       //        ifin=ifin3[vp];
    3940             :       //      }else{
    3941             :       //        if(pp<300){
    3942             :       //          ini=ini2[vp];
    3943             :       //          ifin=ifin2[vp];
    3944             :       //        }else{
    3945             :       //          ini=ini1[vp];
    3946             :       //          ifin=ifin1[vp];
    3947             :       //        }
    3948             :       //      }
    3949             : 
    3950    10668574 :       ini=0;
    3951    10668574 :       ifin=566;
    3952             : 
    3953    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
    3954    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
    3955             : 
    3956    10668574 :       if(ifin==0||ifin<ini){
    3957             : 
    3958    10668574 :         return std::complex<double> (0.0,0.0);
    3959             : 
    3960             :       }else{
    3961             : 
    3962           0 :         for(unsigned int i=ini; i<ifin+1; i++){
    3963             : 
    3964           0 :           lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,brdo3air[i]*0.001,texpo3[i]),0.0);   // broadening en ghz/mb 13/11/2018
    3965             :           //    lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,0.0025,0.76),0.0);
    3966             : 
    3967           0 :           lshape=lshape*flin[i]*exp(-el[i]/tt)*fre[i];
    3968           0 :           lshapeacum=lshapeacum+lshape;
    3969             : 
    3970             :         }
    3971             : 
    3972           0 :         lshapeacum=lshapeacum*(nu/pi)*(picube8div3hcesu*pow(mu,2)/q)  // imaginary part: absorption coefficient in cm^2
    3973           0 :           *(0.047992745509/tt);                                                               // real part: delay in rad*cm^2
    3974             : 
    3975           0 :         return lshapeacum*1e-4;    // to give it in si units (m^2)    // (  rad m^2 , m^2 )
    3976             : 
    3977             : 
    3978             :       }
    3979             : 
    3980             :     }
    3981             : 
    3982             :   }
    3983             : 
    3984             : 
    3985             :     //    return std::complex<double> (0.0,0.0);
    3986             : 
    3987             : 
    3988             : 
    3989             :   //////////////////////// opacity source number: 16 /////////////////////////////
    3990             : 
    3991    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_16o16o16o(double tt, double pp, double nu){
    3992             : 
    3993             :     static const double fre[1151] ={
    3994             :          .78976,  1.08767,  2.59593,  9.20030, 10.22572, 10.61320, 11.07245, 14.82086, 14.86659, 16.16240, 23.85967, 25.22979, 25.51069, 25.65096, 27.45849, 27.86192, 28.96050, 30.05176,
    3995             :        30.18124, 30.52406, 32.10058, 36.02192, 37.83244, 39.43795, 42.83246, 43.65329, 43.85406, 44.87117, 50.03501, 51.05293, 51.97576, 51.98456, 53.68814, 55.35451, 56.97138, 58.09390,
    3996             :        58.41096, 61.34749, 61.92676, 63.07862, 65.23609, 66.05852, 67.24960, 67.35624, 67.83418, 68.42197, 73.91994, 75.84892, 76.39355, 76.53375, 77.60251, 78.99297, 80.84080, 81.28997,
    3997             :        93.84435, 93.95511, 95.79638, 96.22841, 99.24696,100.63735,100.69174,101.73676,101.83535,103.87833,109.55926,110.76027,110.83592,111.04747,114.97919,118.36451,119.27765,123.34913,
    3998             :       124.08738,125.38943,125.41324,127.71597,128.09479,128.31390,130.95467,132.38531,133.04182,136.33851,136.86024,139.84279,140.76732,142.17510,143.88753,143.96251,144.91038,144.91937,
    3999             :       148.74487,153.72392,153.95322,154.04643,156.10713,164.77106,164.95185,165.78451,166.58440,167.57277,170.29955,171.41234,173.48552,175.18642,175.44569,178.57654,180.00098,183.96584,
    4000             :       184.37781,184.74874,185.55711,187.13209,187.63116,187.88484,190.57362,193.35113,195.43042,195.72116,197.53299,199.38432,203.45298,206.13208,207.48507,208.64242,210.42326,210.76234,
    4001             :       210.80322,214.95567,218.11966,223.89749,224.85276,226.05407,229.57500,231.28151,232.98522,235.70982,237.14613,238.43215,239.09326,240.90420,242.31869,243.45378,244.14666,244.15842,
    4002             :       247.76177,248.18340,249.78857,249.96196,250.72901,252.32213,256.88481,258.20217,258.71612,262.85791,263.69263,263.88630,264.92592,267.26655,271.09271,273.05091,274.47843,276.92353,
    4003             :       277.04073,279.47150,279.48579,279.89250,280.99444,281.95751,282.83714,286.08769,286.15656,286.29474,288.95915,290.97525,293.17135,293.54831,297.17368,298.60079,298.79388,300.68514,
    4004             :       301.81299,303.16494,303.57254,310.06346,315.87514,316.32719,316.68179,317.19502,319.99655,320.36011,323.70451,326.90097,327.84458,329.78920,332.70454,332.88174,335.27126,335.64323,
    4005             :       343.18080,343.23744,343.50567,349.74474,352.32405,352.59292,352.81524,355.01819,356.08933,357.62983,358.19981,358.85334,359.64942,359.64962,361.66938,361.82624,363.46929,363.71411,
    4006             :       364.40371,364.44990,366.77690,368.33221,368.94938,371.02286,375.17918,375.97875,376.23838,378.28118,378.69490,382.19229,387.09846,387.28764,387.98989,390.29654,392.65396,395.06319,
    4007             :       396.52948,397.02778,400.07700,401.21773,401.93101,402.39532,403.83738,408.29394,408.30687,413.01193,414.05422,414.25452,420.79513,422.69422,423.66944,424.84594,425.15777,426.06961,
    4008             :       427.94447,428.79221,429.42011,430.33383,434.29166,437.49354,438.48078,440.08212,441.34037,442.11759,445.45871,446.14385,446.64933,448.87627,451.42006,452.23896,453.79011,454.66871,
    4009             :       457.41562,460.25306,462.36541,463.18961,463.24632,464.10876,466.03399,466.64126,467.96711,468.39935,469.10425,469.32511,469.48238,469.95390,470.99090,472.30100,472.89886,473.07366,
    4010             :       474.16599,476.02061,479.39607,479.63320,480.01423,480.18234,480.71724,481.19896,481.62011,483.54546,486.12325,486.45055,487.34851,489.53718,491.94286,491.95142,496.25398,497.09785,
    4011             :       497.97297,498.74741,500.43357,501.77262,505.25728,505.36989,507.73610,507.81539,508.03152,508.19293,509.27262,511.95526,514.99270,517.43040,517.79039,520.13476,522.04607,522.96962,
    4012             :       523.30879,523.53191,529.68389,530.50108,531.07699,534.27304,535.92257,537.71873,539.37266,540.35606,542.58044,543.59397,543.61287,544.85750,548.76415,549.07066,549.82036,550.98944,
    4013             :       551.43571,556.71114,557.97024,559.47804,559.83438,563.43980,565.70359,566.29352,566.73496,569.34609,570.09715,570.99933,572.87715,573.60274,574.51809,574.54071,576.51486,582.14407,
    4014             :       582.30716,583.47499,589.10641,590.33759,591.00445,591.24880,592.63069,595.05617,595.08096,599.97903,600.23048,607.84932,609.73051,610.26257,610.36515,611.27659,611.98653,614.73166,
    4015             :       614.78406,616.27977,616.28251,617.30449,620.68671,620.72197,620.82566,623.68767,625.37152,625.90529,632.17691,633.35354,634.46153,634.52013,638.53691,638.90302,639.54779,640.09254,
    4016             :       640.31195,641.53424,642.34964,644.80494,645.66998,646.34897,647.84000,650.73303,651.47581,651.54302,651.55697,653.76244,654.71344,654.85300,655.00521,655.12032,655.20355,655.29016,
    4017             :       655.60630,655.87260,655.96211,656.00568,656.22377,656.25258,656.38405,656.41983,656.46161,656.47779,657.51496,658.03858,658.81583,661.45825,664.48824,665.67764,665.85431,666.63088,
    4018             :       666.76787,669.85708,671.66925,671.80444,671.93737,672.45339,672.79461,673.91438,676.06188,676.90348,677.14338,677.14643,683.63910,684.24403,691.35879,691.66547,691.98609,692.36851,
    4019             :       693.47373,694.76090,696.09057,697.49073,698.98040,700.85298,701.36487,701.50803,702.71667,707.09907,708.14345,709.63870,711.49549,716.82967,718.29616,718.35952,719.79226,723.01028,
    4020             :       723.37729,726.64407,727.08660,728.25588,730.01142,731.02271,732.62802,734.38955,735.00438,736.48234,740.36731,742.26844,743.16504,745.87234,746.50099,746.87407,748.49865,748.71056,
    4021             :       751.17579,751.30176,751.72060,751.90349,753.76544,754.45631,757.24983,758.13032,760.34313,765.10202,766.30130,767.67812,773.95746,776.26805,776.62787,777.14588,779.24717,779.71446,
    4022             :       782.43831,783.60719,783.66087,784.69136,785.65813,785.68858,787.72308,792.26350,793.06067,793.21304,794.66359,798.76156,799.38884,802.36591,802.37422,804.66276,804.70251,807.62416,
    4023             :       809.05998,810.64622,810.95175,811.46341,813.14024,813.99104,818.41849,819.26277,819.74577,824.79452,825.71518,825.84467,826.56013,827.28922,827.59102,828.00631,830.13306,830.55691,
    4024             :       830.94177,831.00898,831.07889,831.57387,832.11797,832.78965,832.92176,833.60896,834.48990,835.21016,835.25747,835.68548,836.22654,836.44614,836.89268,837.81431,838.39607,838.60022,
    4025             :       839.65543,839.69616,839.76456,840.76066,840.93713,841.58733,841.81086,842.00871,842.19483,842.38878,842.61448,842.75442,842.88346,842.97080,843.03967,843.08617,843.11810,843.13769,
    4026             :       843.14864,843.75362,849.05109,849.94415,850.17635,851.35740,852.70682,852.79868,855.54027,857.96792,859.89817,860.54837,861.45133,861.48476,862.91528,866.12613,869.06812,869.49660,
    4027             :       870.37565,874.06409,875.53602,880.92558,883.05624,885.28598,885.35070,886.45181,886.72861,887.28515,888.15902,888.66322,894.36392,896.06374,900.87519,901.28523,902.35869,906.29038,
    4028             :       906.48993,908.25899,908.74287,910.01156,910.65449,911.96010,914.01207,914.66584,918.84528,919.64288,920.57170,925.23034,926.19546,926.39868,927.53952,931.63601,932.38690,933.13981,
    4029             :       933.21985,936.00479,937.18113,939.34455,939.87274,944.90674,948.85039,950.72195,951.46451,951.49837,955.90760,956.96379,958.48951,958.54005,959.90335,961.33800,962.39343,964.66154,
    4030             :       969.10916,969.45417,970.01419,970.15719,970.77567,971.29614,973.00835,973.78714,976.78538,979.60929,980.02984,982.27496,982.88204,986.02067,986.65516,987.59861,989.96393,992.66980,
    4031             :       994.30024,995.39579,995.71631,997.54150,998.32354,998.61320,1000.142334,1000.616089,1002.057922,1002.973938,1003.242737,1003.342834,1006.224670,1007.570740,1008.683655,1009.31878,
    4032             :       1009.338623, 1010.374207, 1011.957336, 1012.409058, 1012.673767, 1012.798096, 1013.995117, 1014.107178, 1015.252563, 1015.307312, 1017.653748, 1017.947327, 1019.487915,1019.981934,
    4033             :       1020.279663, 1020.515137, 1020.624084, 1022.284546, 1022.748901, 1022.907410, 1023.964233, 1024.485107, 1025.336792, 1025.823853, 1026.430298, 1026.843262, 1026.854492, 1026.873291,
    4034             :       1026.942383, 1027.278198, 1027.317261, 1027.605713, 1027.916016, 1028.161987, 1028.379395, 1028.554443, 1028.701660, 1028.819092, 1028.913452, 1028.986572, 1029.042480, 1029.083374,
    4035             :       1029.112305, 1029.131348, 1029.142944, 1029.148926, 1032.042480, 1032.852295, 1036.147095, 1036.412598, 1037.245483, 1040.528198, 1042.734497, 1042.999756, 1044.670044, 1045.843262,
    4036             :       1048.484863, 1049.960571,1052.564819,  1056.882690, 1058.120850, 1058.917603, 1059.646240, 1062.520508, 1065.791870, 1067.967041, 1069.038208, 1069.843384, 1071.055054,
    4037             :       1073.674805, 1074.329956, 1076.277222, 1077.712769, 1077.801880, 1080.274780, 1083.291016, 1083.377319, 1085.138794, 1087.783325, 1091.044067, 1093.189697, 1095.005981, 1096.260254, 1096.562744,
    4038             :       1096.879761, 1098.021973, 1098.394531, 1101.819458, 1103.029541, 1108.622925, 1109.341919, 1113.035156, 1116.285889, 1117.412720, 1118.403198, 1120.150635, 1120.477051, 1121.218872, 1121.460205,
    4039             :       1127.107788, 1128.248779, 1132.504395, 1133.858643, 1138.276489, 1141.517700, 1143.608154, 1143.739014, 1145.281860, 1146.656006, 1147.276978, 1147.689575, 1153.460815, 1154.850220, 1157.105469,
    4040             :       1159.085205, 1160.202881, 1163.185181, 1163.508423, 1165.281494, 1166.740601, 1167.251587, 1168.805054, 1170.376221, 1170.447266, 1171.848633, 1171.941650, 1177.531494, 1178.542114, 1178.666626,
    4041             :       1180.300537, 1182.944458, 1184.303955, 1185.175049, 1187.243652, 1188.731567, 1190.542603, 1190.629272, 1191.254883, 1191.954956, 1192.794556, 1193.096924, 1193.994507, 1194.919922, 1195.130981,
    4042             :       1195.466064, 1198.208130, 1198.857666, 1201.110718, 1201.947632, 1203.635376, 1203.867065, 1204.508789, 1205.493286, 1205.800781, 1206.626465, 1207.632690, 1208.369019, 1209.161499, 1209.515503,
    4043             :       1209.791992, 1210.418823, 1210.585449, 1210.942505, 1211.437012, 1211.860474, 1211.864258, 1212.246704, 1212.580811, 1212.775269, 1212.878052, 1213.024658, 1213.134521, 1213.358032, 1213.549194,
    4044             :       1213.712524, 1213.849731, 1213.947021, 1213.964355, 1214.058472, 1214.073608, 1214.134644, 1214.195068, 1214.241943, 1214.277222, 1214.302612, 1214.320068, 1214.330933, 1214.336670, 1214.338501,
    4045             :       1217.161743, 1219.177246, 1220.016724, 1220.474854, 1229.063232, 1230.683350, 1234.720825, 1239.155273, 1242.361328, 1244.353638, 1245.153442, 1245.524902, 1246.510254, 1249.386963, 1252.765747,
    4046             :       1254.255737, 1255.869385, 1258.291748, 1259.920654, 1264.357178, 1264.826782, 1267.554810, 1269.524292, 1270.285889, 1270.386230, 1281.049805, 1282.001831, 1285.115601, 1287.351074, 1289.553345,
    4047             :       1292.742065, 1294.689697, 1295.414185, 1295.426025, 1304.632935, 1306.222290, 1310.306763, 1314.744507, 1317.355469, 1317.924561, 1319.744873, 1319.850464, 1320.028320, 1320.538574, 1329.906616,
    4048             :       1331.385010, 1342.587891, 1344.641724, 1345.006958, 1345.144897, 1345.659912, 1356.535278, 1360.679443, 1363.169678, 1368.275757, 1369.288086, 1375.074219, 1377.438110, 1377.654297, 1378.891479,
    4049             :       1379.498413, 1380.942261, 1381.670776, 1382.180786, 1383.842651, 1385.012451, 1386.380005, 1387.444946, 1388.581787, 1389.526367, 1390.294189, 1390.476318, 1390.682739, 1391.297974, 1392.092651,
    4050             :       1392.180542, 1392.795776, 1393.445801, 1393.458374, 1394.051514, 1394.600464, 1394.673340, 1395.093750, 1395.217529, 1395.309326, 1395.544434, 1395.894409, 1395.948730, 1396.313843, 1396.640015,
    4051             :       1396.931396, 1397.189575, 1397.417725, 1397.617798, 1397.792114, 1397.942871, 1398.072266, 1398.182129, 1398.274536, 1398.350952, 1398.413330, 1398.463379, 1398.502441, 1398.532104, 1398.553711,
    4052             :       1398.568359, 1398.577393, 1398.581909, 1401.963867, 1406.787598, 1408.207886, 1409.693237, 1415.471680, 1415.876953, 1416.285889, 1416.883179, 1418.008301, 1418.612915, 1420.284790, 1422.716309,
    4053             :       1429.991211, 1431.884521, 1438.892334, 1439.103394, 1440.646729, 1441.068848, 1444.031250, 1445.600464, 1449.490112, 1456.954712, 1461.404419, 1465.970703, 1466.257446, 1470.743042, 1471.231445,
    4054             :       1482.000610, 1486.584229, 1490.992920, 1491.441650, 1493.280151, 1493.410278, 1495.484009, 1496.341431, 1505.242676, 1507.007324, 1512.878174, 1516.164795, 1516.619751, 1519.260254, 1520.550537,
    4055             :       1521.023560, 1531.989868, 1541.336304, 1541.790649, 1542.540039, 1544.418945, 1556.910889, 1558.333740, 1558.594849, 1564.069458, 1566.952393, 1566.974731, 1568.224243, 1568.455444, 1569.334839,
    4056             :       1569.577515, 1570.418213, 1570.685303, 1571.300903, 1571.399292, 1572.337524, 1573.195801, 1574.005737, 1574.750366, 1575.446167, 1576.086426, 1576.680176, 1577.225586, 1577.726807, 1577.728271,
    4057             :       1578.188477, 1578.609863, 1578.993896, 1579.343018, 1579.659424, 1579.944824, 1580.201538, 1580.431274, 1580.635864, 1580.817261, 1580.977051, 1581.116577, 1581.238037, 1581.342529, 1581.431641,
    4058             :       1581.506592, 1581.569092, 1581.620117, 1581.661133, 1581.692993, 1581.717041, 1581.734253, 1581.745605, 1581.753540, 1581.754395, 1581.820435, 1585.437500, 1591.679932, 1592.007202, 1592.103271,
    4059             :       1600.119385, 1601.828735, 1606.624268, 1608.413574, 1616.852661, 1617.241333, 1621.577637, 1621.886963, 1625.314941, 1631.458984, 1641.974365, 1642.026367, 1642.364746, 1642.742920, 1646.291382,
    4060             :       1656.097412, 1657.602173, 1667.470947, 1668.445923, 1670.213623, 1670.969238, 1672.109009, 1675.698975, 1680.371338, 1680.872559, 1682.616333, 1684.010864, 1688.135376, 1692.557861, 1692.849121,
    4061             :       1693.472778, 1695.374878, 1696.044556, 1697.221924, 1700.885498, 1705.268555, 1706.074463, 1713.986694, 1717.623047, 1718.064819, 1718.502686, 1720.537354, 1722.336304, 1726.067017, 1730.031372,
    4062             :       1742.663208, 1742.934082, 1745.172485, 1745.701538, 1746.027344, 1746.201660, 1747.452515, 1751.242554, 1753.478149, 1753.956055, 1754.058228, 1754.780518, 1755.550659, 1756.272827, 1756.946533,
    4063             :       1757.575439, 1758.160645, 1758.704712, 1759.209351, 1759.676636, 1760.108032, 1760.505737, 1760.871094, 1761.206299, 1761.512329};
    4064             : 
    4065             :     static const double texpO3[1151] ={
    4066             :       0.81,0.81,0.76,0.79,0.77,0.82,0.76,0.83,0.79,0.80,0.78,0.76,0.83,0.78,0.82, 0.83,0.79,0.78,0.78,0.78,0.76,0.79,0.78,0.81,0.76,0.77,0.82,0.79,0.81,0.82,
    4067             :       0.79,0.76,0.77,0.79,0.76,0.80,0.81,0.80,0.78,0.81,0.77,0.80,0.80,0.76,0.76, 0.79,0.83,0.83,0.79,0.77,0.79,0.82,0.84,0.84,0.77,0.77,0.81,0.76,0.82,0.79,
    4068             :       0.82,0.76,0.80,0.78,0.78,0.76,0.76,0.84,0.76,0.76,0.80,0.80,0.77,0.77,0.79, 0.83,0.81,0.77,0.82,0.82,0.76,0.83,0.78,0.84,0.80,0.77,0.76,0.76,0.83,0.77,
    4069             :       0.77,0.82,0.80,0.77,0.81,0.83,0.76,0.77,0.84,0.76,0.76,0.82,0.76,0.79,0.78, 0.83,0.83,0.76,0.77,0.79,0.81,0.83,0.84,0.80,0.83,0.78,0.77,0.77,0.76,0.80,
    4070             :       0.82,0.79,0.76,0.76,0.81,0.76,0.77,0.78,0.83,0.76,0.84,0.78,0.79,0.78,0.76, 0.78,0.77,0.81,0.78,0.81,0.77,0.77,0.82,0.77,0.78,0.78,0.77,0.77,0.76,0.76,
    4071             :       0.76,0.79,0.77,0.79,0.79,0.84,0.81,0.76,0.82,0.78,0.76,0.78,0.84,0.76,0.76, 0.81,0.83,0.76,0.79,0.78,0.79,0.76,0.77,0.80,0.76,0.77,0.82,0.81,0.76,0.77,
    4072             :       0.77,0.77,0.84,0.79,0.79,0.77,0.80,0.76,0.78,0.76,0.82,0.77,0.77,0.83,0.77, 0.76,0.78,0.76,0.80,0.79,0.76,0.81,0.77,0.77,0.80,0.76,0.83,0.83,0.80,0.78,
    4073             :       0.80,0.80,0.78,0.76,0.81,0.83,0.81,0.77,0.79,0.76,0.79,0.80,0.78,0.81,0.81, 0.79,0.77,0.83,0.78,0.76,0.76,0.76,0.79,0.79,0.80,0.82,0.76,0.78,0.81,0.78,
    4074             :       0.77,0.78,0.83,0.78,0.76,0.78,0.79,0.82,0.78,0.79,0.80,0.82,0.81,0.79,0.77, 0.78,0.82,0.78,0.78,0.76,0.78,0.77,0.76,0.81,0.79,0.77,0.84,0.82,0.80,0.77,
    4075             :       0.77,0.82,0.79,0.77,0.83,0.78,0.84,0.77,0.78,0.76,0.76,0.76,0.76,0.77,0.77, 0.79,0.77,0.83,0.84,0.84,0.83,0.80,0.77,0.79,0.78,0.77,0.79,0.76,0.82,0.83,
    4076             :       0.78,0.77,0.84,0.82,0.78,0.79,0.79,0.79,0.81,0.76,0.76,0.80,0.79,0.80,0.83, 0.77,0.82,0.82,0.77,0.83,0.83,0.79,0.79,0.76,0.79,0.78,0.81,0.76,0.80,0.79,
    4077             :       0.80,0.81,0.79,0.77,0.82,0.83,0.76,0.76,0.76,0.78,0.83,0.77,0.81,0.79,0.82, 0.84,0.80,0.81,0.77,0.79,0.79,0.83,0.76,0.79,0.80,0.80,0.76,0.78,0.77,0.78,
    4078             :       0.79,0.80,0.81,0.81,0.77,0.80,0.80,0.83,0.76,0.78,0.76,0.79,0.79,0.81,0.79, 0.78,0.84,0.81,0.80,0.76,0.76,0.82,0.76,0.82,0.79,0.79,0.78,0.76,0.80,0.79,
    4079             :       0.79,0.83,0.76,0.78,0.76,0.81,0.80,0.77,0.78,0.77,0.81,0.76,0.78,0.78,0.78, 0.76,0.77,0.77,0.78,0.78,0.79,0.77,0.78,0.80,0.77,0.77,0.77,0.79,0.77,0.77,
    4080             :       0.77,0.76,0.76,0.76,0.81,0.79,0.79,0.80,0.76,0.79,0.81,0.80,0.77,0.80,0.77, 0.81,0.82,0.76,0.82,0.81,0.77,0.76,0.83,0.83,0.81,0.79,0.80,0.84,0.76,0.79,
    4081             :       0.77,0.80,0.82,0.76,0.81,0.80,0.77,0.81,0.76,0.76,0.82,0.78,0.82,0.80,0.80, 0.83,0.79,0.81,0.77,0.77,0.83,0.76,0.79,0.76,0.76,0.77,0.78,0.83,0.77,0.79,
    4082             :       0.83,0.83,0.82,0.81,0.81,0.80,0.82,0.82,0.83,0.77,0.76,0.81,0.83,0.76,0.78, 0.82,0.81,0.79,0.81,0.77,0.84,0.77,0.76,0.80,0.76,0.76,0.82,0.77,0.78,0.83,
    4083             :       0.76,0.82,0.79,0.81,0.84,0.81,0.81,0.82,0.77,0.76,0.76,0.76,0.76,0.81,0.78, 0.81,0.81,0.81,0.79,0.84,0.80,0.76,0.78,0.78,0.80,0.84,0.77,0.82,0.76,0.82,
    4084             :       0.77,0.81,0.82,0.79,0.81,0.77,0.83,0.80,0.76,0.82,0.80,0.76,0.78,0.83,0.79, 0.79,0.79,0.83,0.78,0.79,0.82,0.78,0.78,0.78,0.78,0.84,0.78,0.77,0.77,0.77,
    4085             :       0.77,0.78,0.77,0.77,0.77,0.76,0.76,0.79,0.81,0.76,0.80,0.76,0.83,0.77,0.78, 0.77,0.76,0.76,0.82,0.77,0.78,0.82,0.79,0.76,0.76,0.76,0.80,0.76,0.77,0.76,
    4086             :       0.83,0.82,0.77,0.82,0.78,0.76,0.78,0.78,0.80,0.83,0.83,0.76,0.76,0.77,0.82, 0.76,0.76,0.77,0.76,0.76,0.82,0.78,0.76,0.79,0.79,0.78,0.82,0.76,0.84,0.77,
    4087             :       0.83,0.76,0.77,0.76,0.76,0.78,0.78,0.79,0.84,0.76,0.83,0.76,0.77,0.76,0.76, 0.76,0.77,0.76,0.76,0.83,0.83,0.78,0.83,0.76,0.79,0.84,0.79,0.76,0.83,0.76,
    4088             :       0.77,0.83,0.76,0.77,0.76,0.80,0.76,0.78,0.83,0.76,0.76,0.76,0.76,0.76,0.79, 0.83,0.84,0.82,0.83,0.76,0.77,0.82,0.79,0.80,0.76,0.82,0.83,0.77,0.81,0.78,
    4089             :       0.76,0.82,0.81,0.81,0.77,0.83,0.81,0.80,0.78,0.80,0.80,0.77,0.80,0.84,0.80, 0.79,0.79,0.79,0.84,0.81,0.76,0.79,0.76,0.78,0.78,0.78,0.78,0.78,0.78,0.77,
    4090             :       0.77,0.77,0.82,0.77,0.77,0.77,0.77,0.76,0.78,0.76,0.78,0.84,0.76,0.76,0.76, 0.80,0.77,0.77,0.76,0.84,0.76,0.84,0.76,0.78,0.82,0.76,0.76,0.76,0.76,0.77,
    4091             :       0.77,0.76,0.76,0.77,0.82,0.76,0.78,0.76,0.76,0.79,0.76,0.76,0.76,0.77,0.77, 0.76,0.76,0.83,0.76,0.76,0.76,0.76,0.78,0.76,0.76,0.76,0.76,0.77,0.76,0.83,
    4092             :       0.77,0.78,0.76,0.77,0.76,0.76,0.76,0.76,0.76,0.77,0.77,0.76,0.84,0.76,0.83, 0.76,0.76,0.78,0.79,0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.77,0.79,0.76,0.76,
    4093             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.84,0.76,0.76,0.77,0.76,0.76,0.84, 0.83,0.77,0.83,0.83,0.83,0.82,0.82,0.76,0.82,0.77,0.82,0.81,0.81,0.81,0.81,
    4094             :       0.76,0.80,0.80,0.76,0.80,0.80,0.79,0.79,0.79,0.79,0.76,0.79,0.76,0.79,0.79, 0.78,0.78,0.78,0.76,0.78,0.78,0.79,0.78,0.77,0.77,0.77,0.77,0.77,0.77,0.77,
    4095             :       0.77,0.76,0.76,0.76,0.78,0.76,0.77,0.76,0.76,0.76,0.76,0.76,0.78,0.76,0.79, 0.79,0.76,0.77,0.78,0.76,0.76,0.79,0.76,0.76,0.76,0.78,0.77,0.79,0.76,0.80,
    4096             :       0.76,0.76,0.76,0.76,0.78,0.80,0.77,0.76,0.76,0.80,0.76,0.79,0.76,0.78,0.76, 0.78,0.77,0.81,0.80,0.76,0.78,0.76,0.77,0.76,0.81,0.76,0.79,0.79,0.80,0.76,
    4097             :       0.76,0.82,0.76,0.77,0.76,0.76,0.84,0.84,0.83,0.83,0.83,0.76,0.83,0.77,0.82, 0.82,0.82,0.82,0.76,0.82,0.81,0.81,0.79,0.81,0.82,0.76,0.81,0.76,0.80,0.80,
    4098             :       0.80,0.80,0.79,0.79,0.79,0.79,0.79,0.79,0.78,0.78,0.78,0.78,0.78,0.78,0.77, 0.77,0.77,0.77,0.77,0.83,0.78,0.78,0.83,0.76,0.77,0.84,0.79,0.79,0.76,0.76,
    4099             :       0.76,0.76,0.78,0.80,0.76,0.76,0.77,0.79,0.76,0.80,0.78,0.76,0.79,0.77,0.76, 0.76,0.78,0.76,0.76,0.77,0.79,0.79,0.76,0.76,0.81,0.78,0.80,0.76,0.77,0.76,
    4100             :       0.76,0.76,0.78,0.76,0.77,0.80,0.76,0.79,0.80,0.80,0.81,0.77,0.79,0.76,0.77, 0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.82,
    4101             :       0.82,0.76,0.82,0.81,0.76,0.81,0.76,0.80,0.76,0.80,0.76,0.76,0.76,0.79,0.76, 0.76,0.76,0.78,0.76,0.78,0.76,0.79,0.77,0.77,0.77,0.77,0.79,0.79,0.76,0.80,
    4102             :       0.78,0.77,0.81,0.79,0.77,0.76,0.78,0.76,0.76,0.77,0.79,0.81,0.76,0.78,0.81, 0.77,0.79,0.82,0.78,0.76,0.76,0.71,0.76,0.77,0.82,0.79,0.77,0.79,0.81,0.83,
    4103             :       0.81,0.76,0.76,0.76,0.76,0.77,0.80,0.80,0.82,0.78,0.78,0.76,0.76,0.76,0.77, 0.80,0.79,0.83,0.82,0.76,0.82,0.76,0.76,0.83,0.78,0.76,0.80,0.76,0.76,0.76,
    4104             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76};
    4105             : 
    4106             :     static const double brdO3air[1151] ={ // MHz/mb
    4107             :       2.0894,2.0835,2.0450,2.2166,2.4356,2.0716,2.5984,2.0568,2.1722,2.1338, 2.2492,2.0509,2.0598,2.1959,2.0627,2.0568,2.1574,2.3084,2.2403,2.1604,
    4108             :       2.0450,2.1870,2.2669,2.0835,2.6901,2.2877,2.0598,2.1278,2.0953,2.0627, 2.1456,2.0391,2.4859,2.1574,2.0568,2.1130,2.0953,2.1042,2.2877,2.0775,
    4109             :       2.3439,2.1338,2.1130,2.5155,2.0391,2.0983,2.0598,2.0568,2.1870,2.3883, 2.2018,2.0627,2.0598,2.0598,2.4060,2.3498,2.0953,2.5895,2.0627,2.0746,
    4110             :       2.0687,2.5244,2.1130,2.3291,2.2314,2.0509,2.4682,2.0598,2.5392,2.7405, 2.1249,2.1249,2.4149,2.4386,2.2166,2.0568,2.0835,2.4771,2.0687,2.0716,
    4111             :       2.0627,2.0568,2.2314,2.0598,2.0539,2.3705,2.0627,2.0331,2.0598,2.3439, 2.3735,2.0716,2.1338,2.3942,2.0775,2.0568,2.6428,2.3291,2.0598,2.5540,
    4112             :       2.0391,2.0627,2.5925,2.1456,2.2492,2.0568,2.0598,2.0509,2.3735,2.2018, 2.0835,2.0568,2.0598,2.0361,2.0568,2.2669,2.2936,2.4208,2.0450,2.1042,
    4113             :       2.0598,2.1574,2.0568,2.5540,2.0894,2.6428,2.4445,2.3025,2.0598,2.0509, 2.0598,2.2877,2.1722,2.2610,2.0391,2.2610,2.2936,2.0953,2.2344,2.0183,
    4114             :       2.3291,2.3143,2.0598,2.4711,2.3084,2.2078,2.4771,2.3705,2.0568,2.0568, 2.0627,2.1870,2.4149,2.1722,2.1841,2.0598,2.0183,2.4682,2.0627,2.2344,
    4115             :       2.5244,2.3291,2.0598,2.0450,2.5895,2.0894,2.0568,2.0509,2.2018,2.2640, 2.1604,2.5570,2.4060,2.1130,2.4948,2.5244,2.0687,2.0035,2.0391,2.3498,
    4116             :       2.2640,2.4415,2.0598,2.2166,2.1397,2.3912,2.1249,2.5540,2.2078,2.0450, 2.0716,2.3439,2.3735,2.0568,2.3498,2.6901,2.2314,2.0331,2.1338,2.1456,
    4117             :       2.5836,2.0775,2.3113,2.3942,2.1190,2.6191,2.0568,2.0568,2.1900,2.2166, 2.1190,2.1190,2.2492,2.3000,2.1663,2.0568,2.0775,2.2877,2.1397,2.6132,
    4118             :       2.1456,2.1900,2.2788,2.0835,2.1456,2.1604,2.4208,2.0568,2.2669,2.5984, 2.0450,2.0331,2.1841,2.1574,2.1900,2.1249,2.5658,2.2462,2.0894,2.2403,
    4119             :       2.4445,2.2078,2.0598,2.2877,2.0509,2.1782,2.1722,1.9740,2.2344,2.1604, 2.1249,2.1071,2.0953,2.1900,2.4711,2.2196,2.0598,2.2610,2.3084,2.0568,
    4120             :       2.1959,2.5126,2.5155,2.1663,2.1870,2.2936,2.0598,2.0687,2.1042,2.4978, 2.3291,2.0627,2.1959,2.3705,2.0923,2.3291,2.0598,2.4149,2.1426,2.4682,
    4121             :       2.5244,2.5570,2.4948,2.4415,2.3912,2.2018,2.3498,2.0746,2.0627,2.0627, 2.0923,2.1130,2.5244,2.1397,2.2788,2.4623,2.1722,2.0509,2.0687,1.9592,
    4122             :       2.2462,2.3498,2.0598,2.1071,2.2196,2.1722,2.2166,2.1574,2.1456,2.0391, 2.5540,2.1249,2.1959,2.1042,2.0746,2.4386,2.1249,2.0716,2.3735,1.9680,
    4123             :       2.0568,2.1130,2.1722,2.3000,2.1278,2.2314,2.1456,2.5836,2.1338,2.1515, 2.1190,2.0775,2.1515,2.3942,2.0598,2.0568,2.0568,2.4948,2.3000,2.2492,
    4124             :       1.9444,2.3676,2.1663,2.1456,2.1249,2.0627,2.1308,2.0835,2.4208,2.0983, 2.1278,2.0568,2.6132,2.0864,2.1900,2.1308,2.3000,2.2669,2.3735,2.3232,
    4125             :       2.1574,2.1071,2.0894,2.0894,2.4445,2.1900,2.1190,2.0598,2.5836,2.2877, 2.3000,2.1722,2.1397,2.1782,2.0746,2.2817,1.9266,2.0953,2.1071,2.0509,
    4126             :       2.0509,2.1071,2.5540,2.0598,2.0657,2.1604,2.3084,2.3000,2.0983,2.1870, 2.1841,2.0568,2.0391,2.2433,2.0450,2.1574,2.1042,2.4978,2.2078,2.5244,
    4127             :       2.1663,2.3000,2.2344,2.3291,2.2610,2.3000,2.3143,2.2936,2.2196,2.2462, 2.1959,2.3291,2.2788,2.0539,2.3113,2.3705,2.3498,2.1722,2.3912,2.4149,
    4128             :       2.4415,2.4682,2.4948,2.5244,2.1782,2.1515,2.2018,2.1308,2.0509,2.2078, 2.0775,2.1071,2.5244,2.0450,2.4978,2.0775,2.0687,2.0568,2.1367,2.1782,
    4129             :       2.3498,2.0391,2.0923,2.0923,2.1574,2.2166,2.1249,2.0627,2.5540,2.1722, 2.4711,2.0716,2.1367,2.3000,2.1456,2.0361,2.3735,2.1574,2.3000,2.3000,
    4130             :       2.1160,2.2314,2.1160,2.1338,2.0272,2.0746,2.1426,2.0775,2.4445,2.3942, 2.0568,2.3000,2.1426,2.0450,2.3000,2.2640,2.2492,2.0746,2.4208,2.1456,
    4131             :       2.0923,2.0983,2.1367,2.0183,2.0835,2.1130,2.1249,2.0687,2.0835,2.4208, 2.3000,2.0479,2.0983,2.3000,2.2669,2.1071,2.0124,2.1574,2.0894,2.3942,
    4132             :       2.0687,2.4445,2.3000,2.0864,2.5836,2.3000,2.1249,2.3735,2.2877,2.0835, 2.0331,2.1160,2.1722,2.0035,2.0627,2.1456,2.0953,2.1071,2.4711,2.0568,
    4133             :       2.5836,2.5540,2.3000,2.1663,2.3084,2.0272,2.0598,1.9976,2.1870,2.0598, 2.1900,2.3000,2.3291,2.2166,2.1190,2.0687,2.4978,2.0598,2.3000,2.1367,
    4134             :       2.3498,2.1574,2.1160,2.1397,2.1782,2.5244,2.0983,2.1071,2.3000,2.1071, 2.1308,2.0450,2.3291,2.0835,2.1515,2.1841,2.1722,2.0983,2.2078,2.1959,
    4135             :       1.9888,2.2196,2.2344,2.2462,2.2610,2.0687,2.2788,2.2936,2.3113,2.3291, 2.3498,2.2610,2.3912,2.4149,2.4415,2.4682,2.4948,2.2018,2.0391,2.0568,
    4136             :       2.1130,2.0509,2.0923,2.5244,2.2344,2.4978,2.3000,2.0450,1.9828,2.3498, 2.2877,2.0095,2.2166,2.0331,2.0568,2.0331,2.1249,2.3000,2.4711,2.3000,
    4137             :       2.0835,1.9740,2.3735,2.0183,2.3084,2.3000,2.2314,2.2492,2.1338,2.0568, 2.0746,2.3000,2.0391,2.4445,1.9680,2.0568,2.3000,2.3942,2.3000,2.0450,
    4138             :       1.9917,2.2492,2.3000,2.2166,2.1456,2.1782,2.0006,2.3000,2.0687,2.4208, 1.9592,2.3000,2.4208,2.3000,2.0391,2.2669,2.2669,2.1870,2.0627,2.3000,
    4139             :       1.9532,2.3000,2.3942,2.0509,2.0331,2.3000,2.4445,2.3000,2.3853,1.9858, 1.9799,2.2877,2.0568,2.5836,2.1574,2.0627,2.1722,2.0568,1.9444,2.3000,
    4140             :       2.3735,2.0746,2.3000,2.4711,2.3000,2.1338,2.5540,2.3084,2.0923,2.0331, 2.0450,2.0450,2.0509,2.0568,2.1870,1.9355,2.0687,2.1071,2.0835,2.3000,
    4141             :       2.3498,2.1249,2.1722,2.1130,2.3000,2.1160,1.9710,2.4978,2.1456,2.2314, 2.3000,2.1367,2.1663,2.1574,2.5244,1.9680,2.1782,2.1900,2.3291,2.1071,
    4142             :       2.1190,2.5244,2.1308,1.9621,2.1042,2.1604,2.1722,2.1841,1.9266,2.0953, 2.0450,2.1959,2.3000,2.2078,2.2196,2.2344,2.2462,2.2610,2.2788,2.2936,
    4143             :       2.3113,2.3291,2.0716,2.3705,2.3912,2.4149,2.4415,2.4682,2.3291,2.3000, 2.1426,2.0598,2.3000,2.3000,2.3000,2.1071,2.4978,2.3498,2.0391,1.9177,
    4144             :       2.3000,1.9621,2.3000,2.3084,2.0716,2.3000,2.3000,2.3000,2.0065,2.4711, 2.3735,2.0627,2.0331,2.4711,2.0627,2.3000,2.2877,2.0331,2.3000,2.2018,
    4145             :       2.3000,2.3000,2.3000,2.4445,2.3942,2.0302,2.0568,2.0598,2.0568,2.0627, 2.3000,2.3000,2.2669,2.3000,2.3000,2.0568,2.3000,2.4208,2.0509,2.0568,
    4146             :       2.4208,2.2492,2.3000,2.4208,2.3000,2.3000,2.3000,2.3000,2.0450,2.3942, 2.4445,2.0509,2.0598,2.3000,2.0568,2.0450,2.3000,2.2314,2.1722,2.3000,
    4147             :       2.0450,2.3000,2.0391,2.3000,2.3735,2.0302,2.4711,2.2166,2.0627,2.0391, 2.3000,2.3380,2.3000,2.3000,2.0509,2.0450,2.3000,2.0331,2.0627,2.0568,
    4148             :       2.0420,2.3735,2.0391,2.3000,2.0687,2.0746,2.3498,2.0835,2.0923,2.0983, 2.1071,2.1160,2.3000,2.1249,2.5244,2.1367,2.1456,2.1574,2.1663,2.1782,
    4149             :       2.3000,2.1900,2.1071,2.0509,2.1190,2.1308,2.1397,2.1397,2.1515,2.1604, 2.0331,2.1722,2.0331,2.1841,2.1959,2.2078,2.2196,2.2344,2.3000,2.2462,
    4150             :       2.2610,2.1870,2.2788,2.2936,2.3113,2.3291,2.3498,2.3705,2.3912,2.4149, 2.4149,2.3000,2.3000,2.3000,2.3291,2.3000,2.4978,2.3000,2.0302,2.3000,
    4151             :       2.3000,2.3000,2.3084,2.0391,2.1456,2.1574,2.3000,2.4711,2.3291,2.3000, 2.3000,2.1722,2.3000,2.3000,2.3000,2.2877,2.4445,2.0864,2.3000,2.1338,
    4152             :       2.3000,2.3000,2.3000,2.3000,2.2669,2.0983,2.4208,2.3000,2.3000,2.1130, 2.3000,2.1456,2.3000,2.2492,2.3000,2.2877,2.3942,2.0953,2.1249,2.3000,
    4153             :       2.2314,2.3000,2.3735,2.3000,2.0835,2.3000,2.2166,2.1959,2.1249,2.3000, 2.3000,2.0716,2.3000,2.3498,2.3000,2.0568,2.0627,2.0687,2.0746,2.0835,
    4154             :       2.0923,2.3000,2.0983,2.2906,2.1071,2.1160,2.0627,2.1249,2.3000,2.1367, 2.1456,2.1574,2.2018,2.1663,2.0687,2.3000,2.1782,2.3000,2.1900,2.1071,
    4155             :       2.1190,2.1308,2.1397,2.1515,2.1604,2.1722,2.1841,2.1959,2.2078,2.2196, 2.2344,2.2462,2.2610,2.2788,2.2936,2.3113,2.3291,2.3498,2.3705,2.0598,
    4156             :       2.3291,2.2492,2.0568,2.3000,2.4978,2.0598,2.0657,2.1870,2.3000,2.3000, 2.0627,2.0509,2.3084,2.1042,2.0391,2.3000,2.4711,2.1722,2.3000,2.1042,
    4157             :       2.2877,2.3000,2.1574,2.4445,2.3000,2.3000,2.2669,2.3000,2.3000,2.4208, 2.1456,2.2166,2.3000,2.3000,2.0894,2.2492,2.1338,2.3000,2.3942,2.3000,
    4158             :       2.3000,2.3000,2.2314,2.3000,2.3735,2.1249,2.3000,2.2166,2.1130,2.0450, 2.0894,2.3498,2.1870,2.3000,2.5126,2.3000,2.3000,2.3000,2.3000,2.3000,
    4159             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.1160, 2.1160,2.3000,2.1367,2.1456,2.3000,2.1663,2.3000,2.1900,2.3000,2.1190,
    4160             :       2.3000,2.3000,2.3000,2.1604,2.0065,2.3000,2.3000,2.2078,2.3000,2.2344, 2.3000,2.1604,2.3912,2.2936,2.3291,2.3291,2.2018,2.1870,2.3000,2.1042,
    4161             :       2.3291,2.2462,2.0953,2.1870,2.4623,2.3000,2.3084,2.3000,2.3000,2.4711, 2.1722,2.0894,2.3000,2.2877,2.0835,2.4120,2.1574,2.0687,2.2669,2.3000,
    4162             :       2.3000,2.4475,2.3000,2.4208,2.0716,2.1456,2.3676,2.1574,2.0775,2.0746, 2.0775,2.3000,2.3000,2.3000,2.3000,2.3942,2.1338,2.0272,2.0627,2.2314,
    4163             :       2.3232,2.3000,2.0450,2.3000,2.3735,2.1249,2.2166,2.0598,2.0687,2.3000, 2.0598,2.3000,2.3000,2.0598,2.2817,2.3000,2.1130,2.3000,2.3000,2.3000,
    4164             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000 };
    4165             : 
    4166             :     static const double flin[1151]={
    4167             :       .548E+01, .559E+01, .804E+01, .302E+01, .211E+01, .150E+01, .159E+01, .685E+01, .412E+01, .443E+01, .290E+01, .786E+01, .664E+01, .118E+01, .126E+01, .700E+01, .415E+01, .279E+01,
    4168             :       .132E+01, .101E+01, .824E+01, .302E+01, .329E+01, .178E+01, .512E+00, .139E+01, .647E+01, .837E+00, .524E+01, .590E+01, .453E+01, .840E+01, .147E+01, .291E+01, .767E+01, .463E+01,
    4169             :       .209E+01, .508E+01, .268E+01, .586E+01, .136E+01, .269E+01, .241E+01, .278E+01, .207E+01, .684E+00, .106E+01, .722E+01, .382E+01, .283E+01, .370E+01, .627E+01, .733E+01, .748E+01,
    4170             :       .120E+01, .231E+01, .474E+01, .248E+01, .616E+01, .558E+00, .608E+01, .434E+01, .486E+01, .237E+01, .384E+01, .242E+01, .597E+01, .728E+01, .896E+00, .100E+01, .468E+01, .496E+01,
    4171             :       .731E+01, .412E+01, .344E+01, .905E+00, .474E+01, .926E+00, .623E+01, .587E+01, .763E+01, .708E+01, .327E+01, .757E+01, .458E+00, .827E+01, .282E+01, .828E+01, .636E+01, .367E+01,
    4172             :       .200E+01, .463E+01, .446E+01, .185E+01, .567E+01, .687E+01, .201E+01, .885E+01, .324E+01, .561E+00, .808E+01, .440E+01, .391E+00, .426E+01, .303E+01, .367E+01, .407E+01, .789E+01,
    4173             :       .564E+01, .445E+01, .546E+01, .648E+01, .781E+00, .380E+00, .667E+01, .284E+01, .906E+01, .159E+01, .787E+01, .542E+01, .659E+01, .404E+01, .790E+01, .307E+01, .526E+01, .164E+00,
    4174             :       .139E+01, .464E+01, .646E+01, .767E+01, .651E+01, .261E+01, .383E+01, .902E+01, .809E+01, .130E+02, .109E+02, .504E+01, .149E+02, .322E+00, .877E+01, .735E+01, .625E+01, .115E+01,
    4175             :       .239E+01, .165E+02, .424E+01, .679E+01, .746E+01, .684E+00, .643E+01, .361E+01, .503E+01, .516E+01, .176E+02, .483E+01, .937E+00, .350E+01, .604E+01, .882E+01, .216E+01, .216E+01,
    4176             :       .725E+01, .823E+01, .854E+00, .592E+01, .697E+01, .623E+01, .339E+01, .577E+01, .183E+02, .145E+01, .555E+01, .461E+01, .251E+01, .714E+00, .583E+01, .277E+00, .592E+01, .194E+01,
    4177             :       .922E+01, .344E+01, .704E+01, .317E+01, .185E+02, .428E+01, .439E+01, .502E+00, .857E+01, .610E+00, .561E+01, .702E+01, .172E+01, .682E+01, .501E+01, .149E+01, .295E+01, .803E+01,
    4178             :       .417E+01, .598E+01, .302E+00, .539E+01, .564E+01, .149E+01, .183E+02, .167E+01, .661E+01, .708E+01, .240E+02, .112E+02, .244E+00, .218E+02, .272E+01, .782E+01, .258E+02, .738E+01,
    4179             :       .650E+01, .868E+01, .194E+02, .126E+00, .395E+01, .833E+01, .617E+01, .517E+01, .271E+02, .169E+02, .127E+01, .639E+01, .250E+01, .179E+01, .760E+01, .553E+00, .146E+02, .373E+01,
    4180             :       .179E+02, .278E+02, .211E+01, .660E+01, .495E+01, .105E+02, .105E+01, .126E+02, .617E+01, .228E+01, .739E+01, .133E+02, .351E+01, .219E+00, .107E+02, .815E+01, .695E+01, .280E+02,
    4181             :       .473E+01, .860E+01, .836E+00, .694E+01, .595E+01, .914E+01, .205E+01, .717E+01, .124E+02, .262E+01, .208E+01, .174E+02, .328E+01, .771E+01, .785E+01, .718E+01, .451E+01, .628E+00,
    4182             :       .642E+01, .573E+01, .720E+01, .520E+01, .278E+02, .183E+01, .695E+01, .402E+01, .153E+02, .284E+01, .160E+01, .884E+00, .223E+01, .342E+01, .457E+01, .306E+01, .570E+01, .329E+02,
    4183             :       .350E+02, .682E+01, .305E+02, .429E+01, .431E+00, .802E+01, .792E+01, .319E+01, .144E+02, .365E+02, .551E+01, .200E+00, .899E+01, .161E+01, .673E+01, .278E+02, .100E+02, .740E+01,
    4184             :       .283E+01, .103E+02, .170E+02, .375E+02, .252E+00, .406E+01, .110E+02, .809E+01, .273E+02, .227E+01, .251E+02, .529E+01, .139E+01, .382E+01, .651E+01, .174E+02, .119E+02, .773E+01,
    4185             :       .165E+02, .261E+01, .226E+02, .101E+00, .384E+01, .755E+01, .795E+01, .507E+01, .126E+02, .117E+01, .799E+01, .629E+01, .838E+01, .249E+01, .751E+01, .238E+01, .185E+00, .454E+01,
    4186             :       .203E+02, .361E+01, .166E+02, .266E+02, .133E+02, .484E+01, .958E+00, .185E+02, .122E+02, .607E+01, .261E+01, .195E+02, .183E+02, .766E+01, .729E+01, .216E+01, .233E+01, .535E+01,
    4187             :       .339E+01, .139E+02, .462E+01, .942E+01, .754E+00, .791E+01, .164E+02, .585E+01, .277E+01, .194E+01, .707E+01, .316E+01, .148E+02, .144E+02, .206E+02, .630E+01, .173E+00, .440E+01,
    4188             :       .774E+01, .260E+02, .559E+00, .163E+02, .295E+01, .562E+01, .216E+02, .134E+02, .172E+01, .685E+01, .142E+02, .294E+01, .120E+02, .895E+01, .333E+02, .739E+01, .903E+01, .148E+02,
    4189             :       .417E+01, .378E+00, .107E+02, .314E+01, .790E+01, .540E+01, .949E+01, .150E+01, .829E+01, .663E+01, .225E+01, .712E+01, .100E+02, .886E+01, .112E+02, .595E+01, .769E+01, .226E+02,
    4190             :       .653E+01, .479E+01, .537E+01, .124E+02, .420E+01, .361E+01, .299E+01, .235E+01, .167E+01, .908E+00, .779E+01, .137E+02, .272E+01, .148E+02, .306E+02, .866E+01, .395E+01, .160E+02,
    4191             :       .216E+00, .236E+02, .333E+01, .110E+02, .518E+01, .163E+00, .151E+02, .171E+02, .129E+01, .254E+02, .161E+02, .640E+01, .182E+02, .249E+01, .372E+01, .281E+02, .840E-01, .101E+02,
    4192             :       .354E+01, .163E+02, .192E+02, .495E+01, .790E+01, .246E+02, .108E+01, .783E+01, .618E+01, .741E+01, .153E+02, .227E+01, .201E+02, .350E+01, .257E+02, .259E+02, .118E+02, .473E+01,
    4193             :       .370E+01, .879E+00, .101E+02, .596E+01, .209E+02, .154E+00, .718E+01, .206E+01, .205E+01, .160E+02, .393E+01, .327E+01, .239E+02, .155E+02, .786E+01, .267E+02, .450E+01, .136E+02,
    4194             :       .790E+01, .127E+02, .215E+02, .686E+00, .573E+01, .185E+02, .350E+01, .696E+01, .184E+01, .222E+02, .277E+02, .305E+01, .428E+01, .404E+01, .221E+02, .503E+00, .551E+01, .155E+02,
    4195             :       .359E+01, .674E+01, .206E+02, .431E+01, .162E+01, .156E+02, .147E+00, .788E+01, .283E+01, .287E+02, .160E+02, .191E+02, .405E+01, .791E+01, .336E+00, .226E+02, .528E+01, .372E+01,
    4196             :       .651E+01, .177E+02, .141E+01, .206E+02, .176E+02, .297E+02, .261E+01, .114E+02, .164E+02, .383E+01, .469E+01, .181E+01, .151E+02, .157E+02, .189E+00, .146E+02, .506E+01, .195E+02,
    4197             :       .433E+01, .182E+02, .208E+02, .138E+02, .170E+02, .389E+01, .221E+02, .157E+02, .629E+01, .126E+02, .144E+02, .230E+02, .121E+01, .233E+02, .132E+02, .114E+02, .120E+02, .790E+01,
    4198             :       .102E+02, .108E+02, .307E+02, .964E+01, .906E+01, .848E+01, .790E+01, .245E+02, .732E+01, .674E+01, .615E+01, .557E+01, .497E+01, .437E+01, .375E+01, .311E+01, .244E+01, .172E+01,
    4199             :       .925E+00, .239E+01, .197E+02, .257E+02, .361E+01, .160E+02, .792E+01, .720E-01, .483E+01, .407E+01, .606E+01, .267E+02, .317E+02, .101E+01, .508E+01, .228E+02, .217E+01, .233E+02,
    4200             :       .158E+02, .277E+02, .338E+01, .461E+01, .425E+01, .584E+01, .792E+01, .328E+02, .812E+00, .218E+02, .454E+01, .707E+01, .195E+01, .550E+01, .316E+01, .167E+02, .793E+01, .438E+01,
    4201             :       .159E+02, .445E+01, .338E+02, .130E+02, .561E+01, .629E+00, .684E+01, .158E+02, .249E+02, .174E+01, .307E-04, .597E+01, .294E+01, .153E+01, .239E+02, .416E+01, .793E+01, .464E+01,
    4202             :       .348E+02, .539E+01, .458E+00, .662E+01, .280E+02, .153E+01, .465E+01, .651E+01, .794E+01, .272E+01, .358E+02, .394E+01, .484E+01, .264E+02, .159E+02, .516E+01, .151E+00, .639E+01,
    4203             :       .450E+01, .260E+02, .270E+02, .133E+01, .189E+02, .514E-03, .715E+01, .250E+02, .250E+01, .794E+01, .368E+02, .371E+01, .503E+01, .235E+02, .494E+01, .840E-01, .617E+01, .791E+01,
    4204             :       .457E+01, .113E+01, .222E+02, .282E+02, .147E+02, .268E+02, .7940E+01,  .2540E+02,  .2290E+01,  .3780E+02,
    4205             :       .2410E+02,  .2080E+02,  .2280E+02,  .3490E+01,  .5220E+01, .1950E+02,  .2140E+02,  .8820E+01,  .4720E+01,  .2010E+02, .2810E+02,  .3150E-01,  .1820E+02,  .4640E+01,  .5940E+01,
    4206             :       .1890E+02,  .1700E+02,  .1760E+02,  .4690E+01,  .2910E+02, .1640E+02,  .1580E+02,  .9390E+00,  .1510E+02,  .1450E+02, .2720E-02,  .1390E+02,  .1340E+02,  .1280E+02,  .1220E+02,
    4207             :       .1160E+02,  .1100E+02,  .3880E+02,  .9910E+01,  .7950E+01, .1040E+02,  .2070E+01,  .9840E+01,  .9260E+01,  .8680E+01, .8100E+01,  .7520E+01,  .6930E+01,  .6340E+01,  .5740E+01,
    4208             :       .5130E+01,  .4510E+01,  .3870E+01,  .3210E+01,  .2510E+01, .1760E+01,  .9370E+00,  .5410E+01,  .3270E+01,  .1260E+01, .2110E+02,  .4490E+01,  .5720E+01,  .6950E+01,  .1120E+02,
    4209             :       .4840E+01,  .3770E+00,  .7950E+01,  .3980E+02,  .1860E+01, .3010E+02,  .3050E+01,  .5590E+01,  .1260E+02,  .4270E+01, .5500E+01,  .6720E+01,  .3120E+02,  .5000E+01,  .2900E+00,
    4210             :       .4080E+02,  .7960E+01,  .9060E-02,  .1430E+02,  .1660E+01, .5780E+01,  .1670E+02,  .2840E+01,  .4510E+01,  .4050E+01, .5270E+01,  .6500E+01,  .5180E+01,  .2100E+00,  .7960E+01,
    4211             :       .4180E+02,  .1620E+02,  .2330E+02,  .3220E+02,  .7270E+00, .2600E+01,  .5940E+01,  .1910E+01,  .5040E+01,  .3320E+02, .6270E+01,  .5370E+01,  .4280E+02,  .1810E+02,  .1370E+00,
    4212             :       .6130E+01,  .6280E+00,  .2280E-01,  .1200E+01,  .1800E+01, .4790E+01,  .5680E+01,  .4380E+02,  .5560E+01,  .7480E-01, .3430E+02,  .2020E+02,  .5340E+00,  .1030E+01,  .2560E+02,
    4213             :       .1100E+01,  .6260E+01,  .4240E+01,  .3370E+01,  .3530E+02, .2300E+01,  .4480E+02,  .2910E+01,  .5750E+01,  .2800E+02, .5600E-01,  .6460E+01,  .2240E+02,  .2660E+02,  .4400E+00,
    4214             :       .5500E+01,  .2720E+02,  .9910E+00,  .2530E+02,  .2590E+02, .3000E+01,  .4580E+02,  .2390E+02,  .2460E+02,  .2190E+01, .4690E-01,  .3630E+02,  .2790E+01,  .2330E+02,  .2260E+02,
    4215             :       .5940E+01,  .2200E+02,  .2140E+02,  .2070E+02,  .2010E+02, .1950E+02,  .3500E+00,  .1890E+02,  .5560E+01,  .1830E+02, .1770E+02,  .1710E+02,  .1650E+02,  .1590E+02,  .8910E+00,
    4216             :       .1530E+02,  .1470E+02,  .2460E+02,  .1410E+02,  .1350E+02, .1290E+02,  .6540E+01,  .1240E+02,  .1180E+02,  .3730E+02, .1120E+02,  .2780E+02,  .1060E+02,  .1000E+02,  .9470E+01,
    4217             :       .8880E+01,  .8300E+01,  .1480E+01,  .7710E+01,  .7110E+01, .6780E+01,  .6510E+01,  .5890E+01,  .5270E+01,  .4630E+01, .3970E+01,  .3280E+01,  .1280E+01,  .8940E+00,  .4730E+00,
    4218             :       .2070E+01,  .2700E+01,  .3320E+01,  .6140E+01,  .2700E+00, .5660E+01,  .7950E+00,  .1380E+01,  .1980E+01,  .2600E+01, .3140E+01,  .6330E+01,  .2670E+02,  .3880E+01,  .7070E+01,
    4219             :       .3870E+00,  .5800E+01,  .8230E-01,  .6850E+00,  .1280E+01, .6760E+01,  .1830E+01,  .2510E+01,  .3040E+01,  .6530E+01, .5950E+01,  .8460E+00,  .5950E+00,  .7360E+01,  .1160E+01,
    4220             :       .1770E+01,  .2360E+01,  .3100E+01,  .6720E+01,  .1370E+00, .6120E+01,  .1010E+01,  .1220E+01,  .7660E+01,  .3280E+01, .6920E+01,  .2370E+01,  .6910E+01,  .3080E+01,  .1270E+00,
    4221             :       .6290E+01,  .8000E+01,  .3440E+01,  .1800E+01,  .7100E+01, .4070E+01,  .6480E+01,  .6610E+00,  .8380E+01,  .1260E+01, .7280E+01,  .2710E+02,  .6990E+01,  .2640E+02,  .2580E+02,
    4222             :       .8850E+01,  .2510E+02,  .6670E+01,  .2450E+02,  .2390E+02, .2330E+02,  .2260E+02,  .2200E+02,  .2140E+02,  .2080E+02, .1510E+01,  .2020E+02,  .3250E+01,  .1960E+02,  .1900E+02,
    4223             :       .9440E+01,  .1840E+02,  .1920E+01,  .1780E+02,  .1720E+02, .1660E+02,  .7460E+01,  .1610E+02,  .5600E+01,  .3830E+01, .1550E+02,  .5040E+01,  .1490E+02,  .1430E+02,  .1370E+02,
    4224             :       .1320E+02,  .1260E+02,  .1200E+02,  .1140E+02,  .1080E+02, .1020E+02,  .9660E+01,  .9070E+01,  .8480E+01,  .7880E+01, .7270E+01,  .6660E+01,  .6030E+01,  .5390E+01,  .2370E+01,
    4225             :       .2030E+01,  .1680E+01,  .1290E+01,  .1020E+02,  .6860E+01, .1740E+00,  .1100E+02,  .1320E+01,  .3270E+01,  .1210E+02, .6970E+00,  .7640E+01,  .2440E+01,  .6040E+01,  .1330E+02,
    4226             :       .1480E+02,  .7050E+01,  .6970E+01,  .1650E+02,  .1130E+01, .3320E+01,  .7810E+01,  .3400E+01,  .2990E+01,  .7250E+01, .1260E+00,  .7980E+01,  .6770E+01,  .3190E+01,  .4380E+01,
    4227             :       .7440E+01,  .4580E-01,  .7830E+00,  .6910E+01,  .8140E+01, .2190E+00,  .5380E+01,  .4170E+01,  .6820E+01,  .7640E+01, .8310E+01,  .6220E+00,  .7070E+01,  .1630E+01,  .5160E+01,
    4228             :       .2770E+01,  .7830E+01,  .4720E+00,  .7230E+01,  .8440E+01, .1440E+01,  .8030E+01,  .8610E+01,  .5820E+00,  .2550E+01, .7410E+01,  .2640E+02,  .2580E+02,  .1750E-03,  .2520E+02,
    4229             :       .1260E+01,  .2460E+02,  .4720E+01,  .2350E+01,  .2400E+02, .2330E+02,  .2270E+02,  .2210E+02,  .2150E+02,  .2100E+02, .2040E+02,  .1980E+02,  .1920E+02,  .6540E+01,  .1860E+02,
    4230             :       .1800E+02,  .1740E+02,  .1680E+02,  .1630E+02,  .1570E+02, .1510E+02,  .1450E+02,  .1390E+02,  .1340E+02,  .1280E+02, .1220E+02,  .1160E+02,  .1100E+02,  .1040E+02,  .9840E+01,
    4231             :       .9250E+01,  .8640E+01,  .8030E+01,  .3710E+01,  .3390E+01, .3070E+01,  .2730E+01,  .2410E+01,  .2640E+01,  .3400E+01, .8220E+01,  .2570E+00,  .2160E+00,  .8710E+01,  .7590E+01,
    4232             :       .7500E+01,  .8890E+01,  .8410E+01,  .6550E-03,  .1160E+00, .7780E+01,  .1950E+01,  .3100E+01,  .7540E+01,  .8600E+01, .8940E+01,  .4200E-01,  .7970E+01,  .9150E+01,  .1880E-02,
    4233             :       .8780E+01,  .6150E+01,  .8160E+01,  .5050E+01,  .5870E+00, .3850E+01,  .2680E+01,  .3910E+01,  .9380E+01,  .8970E+01, .4580E-02,  .2840E+00,  .2160E+01,  .8350E+01,  .9130E+01,
    4234             :       .4830E+01,  .4440E+00,  .3640E+01,  .2480E+01,  .3920E+01, .9150E+01,  .4950E+00,  .9600E+01,  .8550E+01,  .1000E-01, .4610E+01,  .3150E+00,  .2280E+01,  .4010E+01,  .9330E+01,
    4235             :       .8740E+01,  .9810E+01,  .9260E+01,  .2020E+00,  .5640E+01, .3220E+01,  .2080E+01,  .8180E+01,  .2000E-01,  .2590E+02, .9500E+01,  .2530E+02,  .2470E+02,  .2410E+02,  .2350E+02,
    4236             :       .2290E+02,  .2230E+02,  .2170E+02,  .2110E+02,  .2050E+02, .2000E+02,  .1940E+02,  .1880E+02,  .1820E+02,  .1760E+02};
    4237             : 
    4238             :     static const double el[1151]={
    4239             :       712.962,  751.948, 1527.675,  295.458,   72.409,  769.490, 11.568, 1105.888,  405.486,  497.424,   246.754, 1470.888, 1057.475,  183.068,  856.081, 1154.462, 434.109,  184.357,
    4240             :       144.750,  226.134, 1584.658,  347.970,  225.783,  686.506, 3.643,  110.903, 1010.594,  273.645,   673.097,   833.248, 465.603, 1642.703,   49.321,  405.541, 1414.963,  564.310,
    4241             :       608.694,  636.153,  202.325,  791.870,   81.766,  468.127, 535.870,   22.065, 1510.442,  325.813,  946.649, 1204.057, 374.731,   97.724,  347.973,  964.106, 1255.017, 1360.495,
    4242             :       57.192,  146.187,  636.099,    3.578,  919.433,   382.566, 919.363,   12.113,  599.109,  162.710,  270.538, 1392.980, 25.276, 1307.066,   30.677,     .015,  564.271,   529.975,
    4243             :       43.340,   37.277,  320.276, 1041.865,  712.947,    37.337, 875.510,  875.541, 1360.510, 1255.051,  295.426, 1307.083, 443.738,   66.071, 1280.589, 1701.985, 1010.539,  127.839,
    4244             :       127.855,  794.816,  529.905,  113.001,  833.202, 1204.086, 3.577,   93.437, 1173.198,   22.051,   1642.720,  881.767, 16.967,  497.385,  270.573, 1070.922,   973.854, 1470.864,
    4245             :       57.144,  320.226,  791.787, 1106.611,  1141.487,  509.575, 1154.446,  247.913,  125.413,   97.699,1584.612,  599.123, 964.027,  465.599, 1414.934,   12.078,  751.893,   11.576,
    4246             :       84.874,  162.675, 1105.923, 1527.745,  1207.700,  225.742, 435.473,  161.891, 1586.209,  172.978,  134.809,  713.047, 216.116,  579.929,  101.361,   81.706, 1058.673,   72.372,
    4247             :       205.299,  263.879,   25.302,   72.894, 1472.057, 1245.680, 1313.761,  406.198,   49.273,  374.774, 316.434,  675.525, 61.675,   30.662, 1012.679,  202.984,    16.916,  185.798,
    4248             :       1417.693, 1527.676,    8.275,  673.056,1057.503, 1424.857, 378.414,  202.358,  373.655,   11.548,   43.320,  639.124, 22.118,   51.800,  967.826,  654.757,  1541.048,  167.657,
    4249             :       110.903,   37.338, 1364.418,  351.707,  435.327,   57.206, 603.989,   43.464,  248.530, 1354.412,  924.251,   65.998, 150.653, 1312.359,   81.719,    5.711,  326.296, 1768.078,
    4250             :       570.016,  434.013,   36.100,  881.901,  110.877,  134.964, 501.653,    8.247, 1261.596,  246.722,  591.495,  144.663, 734.125,  518.625,  302.028, 1708.920,  669.041, 1155.730,
    4251             :       751.897,   93.394,  450.483,   30.108,  537.278,  298.679, 144.679,  840.641,  751.328,  387.330,  120.410, 1211.942, 279.006,   11.497, 1650.864, 1467.553,  329.140,  505.824,
    4252             :       572.453,  838.329,   16.983,  183.128,  800.694,  125.372, 107.102,  275.788, 1163.588,  257.162, 1594.112,  183.102, 475.488,  817.997,  227.550,  353.193,  498.178,  929.734,
    4253             :       761.944,  295.904,   94.974,  226.130, 1116.340,  184.286, 236.638, 1538.461,  161.901,   30.664,   22.103,  647.670, 446.446,  146.139, 1258.917,  835.678,  724.503,   84.061,
    4254             :       113.029, 1070.393,  273.691,   84.852, 1025.749,  217.207, 1484.115,   61.686,  226.122,   43.401,  30.067,   25.257, 36.149,   51.827,   72.377,  418.614,    97.685, 1150.477,
    4255             :       1257.824,  127.835, 1047.973,  688.162,  74.443,  412.335, 162.710,   49.286,  202.966, 1369.774, 1025.650,  906.434, 202.391,  199.086, 1430.970,  950.170,  246.763,  325.823,
    4256             :       391.981,  349.644,  727.363, 1486.298,   65.931,  653.025, 295.912,  567.108, 1126.098,   37.290,  857.338,  982.109, 182.163,   72.846, 1378.929,  273.716,  349.724, 1843.380,
    4257             :       248.564,  366.553,  769.458,   58.718,  619.191,  382.537, 475.958,  939.772,  408.192,  166.345,  924.138, 1328.189, 1366.889,   21.629, 1784.241,  342.326, 999.290,  101.334,
    4258             :       686.513,  586.459,  811.499, 1230.926,  471.309,  898.636, 151.827,  298.599,  408.178, 1278.652,   25.216,  325.773, 608.683,  443.748, 1726.304,  319.303,   57.208,  134.738,
    4259             :       555.030,  539.074,  858.703,  640.744,  138.512,  544.000, 535.834, 1230.318,   30.116,  297.581, 1669.469,  524.803, 468.113,  611.387,  353.182,  173.038, 1096.704,  819.972,
    4260             :       509.570, 1340.198,  126.498,  900.149,   36.086, 1183.185, 382.480,  405.542,  276.961, 1613.936,  471.335,  495.678, 347.925, 1017.522, 1510.429,  216.111, 1479.680,  688.354,
    4261             :       782.544,  115.585,  295.446,   43.428,  616.686, 1137.254, 247.882,  257.643,  205.308, 1559.604,   81.704,  167.698, 270.552,  225.745,  320.238,  134.932,  185.728,  412.324,
    4262             :       150.609,  107.096,  120.392,  374.690,   94.979,   84.078, 74.372,   65.970,   58.668,   52.667,   579.917,  434.092, 467.855,  498.128, 1392.982,  263.925,  746.217,  567.080,
    4263             :       105.873,  443.725,   51.838,  719.131, 1092.525, 1198.700, 769.884,  640.730,  239.527, 1453.786,  993.175, 1506.474, 719.163,  441.234,  711.192, 1280.577,   97.462,  316.443,
    4264             :       61.690,  539.028,  802.265, 1048.997,   693.826,  475.936, 222.511,  654.704, 1454.546, 1927.636,  855.986,  415.914, 890.025,  677.268,  509.598, 1173.195,  373.626, 1006.671,
    4265             :       72.354,  206.797, 1115.576, 1403.820,   982.435, 1305.087, 1868.510,  110.925,  391.695, 1090.724,  84.838,  644.646, 1070.903,  946.673,  734.143,  544.025, 965.547,  435.337,
    4266             :       775.419,  802.213, 1079.492,  192.284, 1354.294,  611.461, 47.827, 1810.585,  368.678,  973.850,   579.892,  613.226, 925.624,   97.713, 1181.196,  178.971, 1305.970,  501.648,
    4267             :       52.617, 1753.861,  881.758,  113.009,   346.962, 1041.761, 1415.963,  817.945,  582.907,  616.699,1192.830,  794.833, 887.003,  861.560,  166.959, 1287.449, 1258.848,   58.707,
    4268             :       1698.338,  712.962,  326.347,  688.423, 572.442,  654.701, 553.889, 1218.448,  636.125,  849.482,  146.138,  144.632, 564.298, 1141.463,  156.048,  890.028, 1212.926,  835.606,
    4269             :       127.787,  751.884,  924.181,  497.357,  673.031,   65.898, 1017.492,  599.059, 1644.017,  435.382, 529.880, 1398.259, 307.033, 1115.623,  465.601,  378.357,  406.229,  906.419,
    4270             :       326.269,  351.667,  693.763,  302.016,  279.007,  257.176, 236.565, 1218.456,  217.247,  199.037,  182.127,  166.420, 151.814,  138.509,  126.406,  115.604,  105.902,   97.401,
    4271             :       90.201,  526.072,  647.617, 1326.074,   813.263, 1299.307, 952.242,  146.337, 1168.206,   74.389, 1590.896, 1438.365, 734.122,  288.820,  184.351,  769.897,  499.456, 1513.635,
    4272             :       1245.693, 1555.416,  778.145, 1124.786,  84.084, 1538.977, 999.274,  775.421,  271.908,  727.381,  162.639, 2020.615, 474.141,  227.559,  744.328,  982.408, 1047.457, 1082.468,
    4273             :       1410.258,   94.973,  817.950, 1326.089,1488.258,  256.196, 1961.497, 1354.366,  855.965,  449.927,   3.582,  275.858, 711.712,  183.102,  811.447, 1041.351, 1096.714,  107.078,
    4274             :       861.574, 1438.741,  241.684, 1903.580, 1541.055,  426.913, 202.324,  329.134, 1147.098,  680.296,  906.385, 1001.534, 120.361, 1424.858, 1467.593, 1390.424,  228.373, 1846.964,
    4275             :       84.151,  900.134,  946.607,  405.200,  1079.471,   12.046, 387.363, 1313.726,  649.982, 1198.646,  952.226,  962.818, 134.889, 1207.638, 1343.308,  216.262, 1791.449,  450.519,
    4276             :       90.141,  384.588, 1106.573, 1597.285,  1438.347, 1479.633, 1251.300, 1366.878,  621.008,  999.365,
    4277             :       1258.952, 1010.547, 1155.808,  925.344, 150.691,  919.460, 1057.459,  518.609, 1297.533,  964.112, 993.199,  205.493,  833.236,  246.730, 1737.175,
    4278             :       875.473,  751.860,  791.846,   97.472, 1041.848,  713.034,  675.523,  365.317,  639.138,  604.015, 25.308,  570.057,  537.332,  505.791,   475.568,
    4279             :       446.439,  418.619, 1047.518,  591.418, 1305.114,  391.998,  593.196,  366.582,  342.367,  319.356, 297.545,  277.037,  257.630,  239.524,  222.620,
    4280             :       206.816,  192.313,  179.011,  166.910,  156.109,  146.409,  137.908,  167.669,  889.131,  226.072, 1181.260, 1252.820, 1684.062, 2182.656, 669.044,
    4281             :       105.963,  347.207, 1359.980, 1096.809,  566.685,  1090.777,  854.118,  185.780,  751.345,1209.307, 1632.150, 2122.345, 1141.494,  115.555, 330.197,
    4282             :       1147.171, 1416.040,   43.347,  838.278, 541.273,  205.355, 1555.410,  820.206,  295.921, 1167.094, 1581.538, 2063.335,  126.448,  314.487,1473.173,
    4283             :       1198.658,  929.803, 1287.485, 1192.821, 517.063,  787.594,  225.760, 1125.982, 1532.026, 1245.672, 2005.425,  138.541, 1251.325, 1025.690, 299.978,
    4284             :       247.907,  494.052,   66.048,  756.183, 1086.071,  1483.715, 1948.715, 1305.109,  151.935, 286.669, 1299.339, 1126.119,  472.342,  273.676,1398.267,
    4285             :       725.972,  270.619,  349.676, 1047.460, 1354.375,  1436.605, 1359.980, 1893.306,  166.430,1706.427, 274.660,  295.455, 1230.987, 1586.138,  451.733,
    4286             :       130.654, 1645.227,  696.962, 1470.920, 1527.621,  1009.950, 1416.062, 1360.558, 1414.928,1390.795, 93.455, 1410.340, 1838.997, 1307.052,  1255.042,
    4287             :       182.126, 1204.095, 1154.464, 1105.955, 1058.715,  1012.634,  432.423,  967.892,  137.945, 924.230, 881.891,  840.742,  800.707,  761.969,  669.152,
    4288             :       724.439,  688.209, 1340.201,  653.084,  619.160,  586.539,  320.239,  555.021,  524.805, 1467.596, 495.791, 1513.684,  467.878,  441.268,  415.858,
    4289             :       391.751,  368.744,  973.739,  346.939,  326.434,  347.933,  307.030,  288.927,  271.925,  256.224, 241.722,  228.421,  216.321,  205.421,  195.821,
    4290             :       1346.085, 1785.888, 2292.948,  199.126, 414.314,  146.436,  642.542,  938.730, 1302.576, 1733.980, 2232.742,  217.224, 1453.876,  408.138, 405.576,
    4291             :       397.405,  156.027,  125.411,  617.133,  904.820,  374.797, 1260.366, 1683.372, 2173.635,  236.631, 166.919,  325.873,  593.024,  468.117,  872.211,
    4292             :       1219.258, 1633.864, 2115.830,  257.229, 367.187,  179.011,  570.015,  840.802,  535.876, 1179.449, 434.062, 1585.557,  279.048, 2059.124,  161.974,
    4293             :       192.303,  608.665,  471.367, 1538.549,  302.043,  2003.618,  206.896,  527.697,  686.578,1103.333, 326.284, 1762.606,  498.193, 1701.983, 1642.723,
    4294             :       769.494, 1584.625,  222.590, 1527.765, 1472.086,  1417.629, 1364.464, 1312.413, 1261.558,1212.013, 753.776, 1163.567,  187.357, 1116.428, 1070.390,
    4295             :       857.385, 1025.656, 1067.025,  982.124,  939.796,  898.669,  351.666,  858.746, 2411.740, 1447.935, 820.024, 1896.307,  782.505,  746.287,  711.171,
    4296             :       677.357,  644.645,  613.234,  583.024,  553.916,  526.109,  499.503,  474.097,  449.993,  426.989, 405.186,  384.684,  365.282,  347.181,  330.280,
    4297             :       314.479,  299.978,  286.678,  950.216,  239.484,  203.016, 1047.945,  727.168,  195.748, 1150.529, 382.500,  378.446, 1032.017, 2351.537, 1257.820,
    4298             :       1369.771,  257.680,  567.144, 1486.333, 701.859,  205.439,  406.197, 1362.222,  539.135,  276.977, 457.563,  435.444,  216.330, 1321.215, 1744.292,
    4299             :       297.575,  443.055,  654.643,  228.422,  465.633,  248.627, 2177.927, 1695.987,  640.759,  319.375, 497.393,  632.935,  241.713,  903.887, 2122.525,
    4300             :       1242.702,  342.376,  612.327,  256.205, 529.969,  874.879,  366.580,  564.311,  443.799,  611.436, 271.998, 1828.597, 1768.137,   30.626, 1708.883,
    4301             :       847.072, 1650.931, 2015.119, 1168.989, 1594.084,  1538.539, 1484.098, 1430.959, 1379.023,1328.190, 1278.659, 1230.331, 1183.205,  719.181,1137.281,
    4302             :       1092.558, 1049.038, 1006.720,  965.603, 925.688,  886.974,  849.562,  813.251,  778.241,  744.332, 711.725,  680.318,  650.112,  621.007,  593.203,
    4303             :       566.599,  541.296,  517.094,  494.092,  472.290,  451.789,  432.388,  414.288,  367.187,  381.687, 391.984,  298.710,  574.911,  599.095,  288.891,
    4304             :       254.106,  636.124,  418.594,   49.308,  557.903,  307.084, 1100.076, 1472.661,  263.697,  446.502, 673.097,  542.195,  326.378,  712.960,   72.890,
    4305             :       475.519,  802.247,  346.973, 2305.227,  747.942,  1814.906, 1391.751,  286.679,  794.854, 505.830, 101.347,  353.280,  688.382,  368.770,  751.956,
    4306             :       2249.726,  726.234, 1767.802, 1353.146, 299.970,  537.359,  509.621,  881.841,  391.667,  134.745, 2195.524,  705.627, 1315.640,  314.561, 570.071,
    4307             :       415.865,  973.852,  835.644,  686.319,  890.003,  1677.295, 1279.435,  330.253,  173.046,1903.723, 604.018, 1843.383, 1784.246, 1726.312, 1669.579,
    4308             :       1613.949, 1559.621, 1506.495, 1454.571,1403.848,  1354.328, 1306.009, 1258.891, 1212.975,1168.260};
    4309             : 
    4310             : 
    4311             :     static const unsigned int ifin1[800]={
    4312             :          7,   8,  10,  11,  11,  11,  11,  12,  15,  18,  21,  22,  22,  23,  24,  25,  26,  29,  29,  29,  30,  33,  34,  36,  38,  38,  40,  41,  43,  47,
    4313             :         47,  47,  48,  51,  53,  54,  55,  55,  55,  55,  55,  55,  57,  59,  59,  62,  64,  65,  65,  65,  68,  69,  70,  70,  71,  72,  72,  74,  76,  79,
    4314             :         80,  81,  82,  84,  84,  86,  87,  91,  91,  92,  92,  92,  95,  96,  96,  96,  96,  98, 100, 101, 102, 103, 104, 106, 107, 108, 108, 111, 112, 115,
    4315             :        116, 116, 117, 119, 120, 121, 121, 122, 123, 125, 128, 128, 129, 129, 130, 130, 130, 132, 133, 133, 134, 136, 136, 137, 139, 141, 142, 145, 145, 147,
    4316             :        150, 151, 151, 152, 154, 154, 155, 158, 158, 159, 159, 160, 162, 163, 164, 168, 170, 170, 173, 174, 175, 175, 177, 177, 180, 181, 182, 184, 184, 184,
    4317             :        185, 185, 185, 188, 189, 191, 191, 192, 193, 194, 195, 197, 197, 199, 199, 199, 199, 202, 202, 202, 203, 206, 206, 208, 211, 213, 215, 219, 220, 222,
    4318             :        222, 223, 223, 226, 228, 228, 229, 229, 229, 232, 233, 234, 234, 236, 237, 238, 241, 242, 242, 244, 244, 244, 247, 247, 247, 248, 249, 251, 253, 255,
    4319             :        257, 257, 258, 258, 260, 261, 263, 263, 266, 267, 267, 269, 271, 271, 272, 273, 274, 277, 279, 281, 286, 288, 290, 291, 291, 296, 298, 299, 301, 302,
    4320             :        303, 305, 305, 306, 309, 310, 311, 311, 313, 317, 318, 319, 320, 320, 322, 323, 325, 327, 327, 327, 329, 330, 331, 332, 333, 335, 336, 339, 339, 340,
    4321             :        343, 344, 344, 345, 346, 348, 348, 349, 352, 352, 355, 356, 359, 360, 360, 360, 362, 363, 363, 363, 365, 368, 368, 370, 370, 372, 372, 372, 372, 373,
    4322             :        376, 378, 380, 382, 383, 386, 386, 387, 389, 389, 389, 390, 393, 393, 395, 398, 400, 401, 403, 404, 435, 440, 441, 443, 445, 445, 445, 447, 447, 447,
    4323             :        447, 451, 441, 443, 445, 445, 445, 447, 447, 447, 447, 451, 453, 454, 456, 457, 460, 460, 460, 462, 463, 464, 464, 465, 467, 468, 468, 470, 471, 473,
    4324             :        474, 476, 477, 479, 479, 480, 481, 482, 485, 487, 487, 491, 493, 493, 495, 496, 496, 496, 498, 499, 499, 499, 500, 502, 503, 505, 506, 509, 511, 512,
    4325             :        512, 513, 516, 516, 517, 518, 520, 522, 522, 523, 526, 527, 529, 529, 530, 532, 532, 533, 536, 539, 582, 585, 585, 586, 587, 589, 592, 592, 593, 593,
    4326             :        596, 596, 597, 598, 598, 589, 592, 592, 593, 593, 596, 596, 597, 598, 598, 599, 599, 600, 604, 607, 607, 607, 608, 609, 609, 610, 612, 612, 614, 616,
    4327             :        618, 619, 621, 621, 622, 624, 624, 624, 627, 628, 628, 630, 632, 633, 634, 636, 636, 637, 637, 638, 639, 641, 641, 643, 645, 646, 648, 649, 649, 649,
    4328             :        654, 655, 657, 658, 658, 660, 662, 662, 664, 665, 666, 667, 668, 670, 673, 675, 677, 679, 680, 682, 685, 689, 691, 693, 695, 700, 703, 705, 712, 723,
    4329             :        729, 731, 731, 733, 734, 735, 737, 738, 739, 740, 741, 742, 742, 743, 745, 746, 747, 747, 748, 749, 751, 752, 754, 755, 757, 758, 758, 760, 761, 762,
    4330             :        762, 763, 764, 768, 770, 770, 771, 772, 772, 773, 774, 774, 775, 776, 778, 780, 782, 782, 782, 784, 784, 785, 786, 786, 787, 787, 788, 790, 792, 794,
    4331             :        794, 794, 796, 796, 797, 799, 799, 801, 803, 805, 807, 809, 809, 809, 812, 813, 814, 815, 816, 818, 820, 823, 826, 828, 830, 830, 832, 835, 838, 840,
    4332             :        846, 853, 872, 872, 873, 876, 876, 876, 876, 876, 878, 878, 879, 879, 879, 880, 881, 882, 885, 885, 886, 887, 888, 889, 890, 891, 891, 893, 893, 894,
    4333             :        897, 897, 897, 897, 897, 897, 899, 899, 900, 901, 902, 903, 904, 906, 906, 906, 906, 907, 908, 908, 909, 909, 910, 910, 912, 916, 916, 916, 916, 916,
    4334             :        917, 918, 918, 918, 918, 918, 919, 920, 923, 923, 923, 923, 923, 924, 924, 925, 925, 926, 926, 927, 928, 928, 928, 929, 932, 934, 936, 937, 939, 941,
    4335             :        945, 949, 954, 963, 980, 980, 981, 981, 982, 983, 984, 984, 984, 988, 990, 991, 992, 992, 992, 992, 993, 994, 994, 994, 995, 997, 998, 999,1000,1000,
    4336             :       1001,1001,1001,1002,1002,1002,1003,1003,1005,1005,1006,1007,1007,1007,1007,1007,1008,1008,1009,1009,1010,1011,1013,1015,1015,1015,1015,1015,1016,1017,
    4337             :       1017,1018,1018,1020,1020,1022,1023,1023,1023,1023,1023,1024,1024,1024,1024,1024,1027,1028,1028,1028,1028,1028,1028,1029,1031,1031,1031,1032,1034,1036,
    4338             :       1040,1043,1046,1049,1055,1063,1078,1078,1079,1079,1079,1082,1082,1082,1082,1083,1084,1084,1085,1086};
    4339             : 
    4340             :     static const unsigned int ini1[800]={
    4341             :          1,   1,   1,   1,   1,   2,   4,   4,   4,   4,   7,   8,  10,  11,  11,  11,  11,  12,  15,  18,  21,  22,  22,  23,  24,  25,  26,  29,  29,  29,
    4342             :         30,  33,  34,  36,  38,  38,  40,  41,  43,  47,  47,  47,  48,  51,  53,  54,  55,  55,  55,  55,  55,  55,  57,  59,  59,  62,  64,  65,  65,  65,
    4343             :         68,  69,  70,  70,  71,  72,  72,  74,  76,  79,  80,  81,  82,  84,  84,  86,  87,  91,  91,  92,  92,  92,  95,  96,  96,  96,  96,  98, 100, 101,
    4344             :        102, 103, 104, 106, 107, 108, 108, 111, 112, 115, 116, 116, 117, 119, 120, 121, 121, 122, 123, 125, 128, 128, 129, 129, 130, 130, 130, 132, 133, 133,
    4345             :        134, 136, 136, 137, 139, 141, 142, 145, 145, 147, 150, 151, 151, 152, 154, 154, 155, 158, 158, 159, 159, 160, 162, 163, 164, 168, 170, 170, 173, 174,
    4346             :        175, 175, 177, 177, 180, 181, 182, 184, 184, 184, 185, 185, 185, 188, 189, 191, 191, 192, 193, 194, 195, 197, 197, 199, 199, 199, 199, 202, 202, 202,
    4347             :        203, 206, 206, 208, 211, 213, 215, 219, 220, 222, 222, 223, 223, 226, 228, 228, 229, 229, 229, 232, 233, 234, 234, 236, 237, 238, 241, 242, 242, 244,
    4348             :        244, 244, 247, 247, 247, 248, 249, 251, 253, 255, 257, 257, 258, 258, 260, 261, 263, 263, 266, 267, 267, 269, 271, 271, 272, 273, 274, 277, 279, 281,
    4349             :        286, 288, 290, 291, 291, 296, 298, 299, 301, 302, 303, 305, 305, 306, 309, 310, 311, 311, 313, 317, 318, 319, 320, 320, 322, 323, 325, 327, 327, 327,
    4350             :        329, 330, 331, 332, 333, 335, 336, 339, 339, 340, 343, 344, 344, 345, 346, 348, 348, 349, 352, 352, 355, 356, 359, 360, 360, 360, 362, 363, 363, 363,
    4351             :        365, 368, 368, 370, 370, 372, 372, 372, 372, 373, 376, 378, 380, 382, 383, 386, 386, 387, 389, 389, 376, 378, 380, 382, 383, 386, 386, 387, 389, 389,
    4352             :        389, 390, 411, 425, 428, 428, 429, 430, 434, 434, 435, 440, 441, 443, 445, 445, 445, 447, 447, 447, 447, 451, 453, 454, 456, 457, 460, 460, 460, 462,
    4353             :        463, 464, 464, 465, 467, 468, 468, 470, 471, 473, 474, 476, 477, 479, 479, 480, 481, 482, 485, 487, 487, 491, 493, 493, 495, 496, 496, 496, 498, 499,
    4354             :        499, 499, 500, 502, 503, 505, 506, 509, 511, 512, 512, 513, 516, 516, 517, 518, 520, 522, 522, 523, 512, 513, 516, 516, 517, 518, 520, 522, 522, 523,
    4355             :        526, 527, 529, 529, 530, 564, 573, 579, 579, 579, 582, 585, 585, 586, 587, 589, 592, 592, 593, 593, 596, 596, 597, 598, 598, 599, 599, 600, 604, 607,
    4356             :        607, 607, 608, 609, 609, 610, 612, 612, 614, 616, 618, 619, 621, 621, 622, 624, 624, 624, 627, 628, 628, 630, 632, 633, 634, 636, 636, 637, 637, 638,
    4357             :        639, 641, 641, 643, 645, 646, 648, 649, 649, 649, 654, 655, 657, 658, 658, 660, 662, 662, 664, 665, 666, 667, 668, 670, 673, 675, 677, 679, 680, 682,
    4358             :        685, 689, 691, 693, 695, 700, 703, 705, 712, 723, 729, 731, 731, 733, 734, 735, 737, 738, 739, 740, 741, 742, 742, 743, 745, 746, 747, 747, 748, 749,
    4359             :        751, 752, 754, 755, 757, 758, 758, 760, 761, 762, 762, 763, 764, 768, 770, 770, 771, 772, 772, 773, 774, 774, 775, 776, 778, 780, 782, 782, 782, 784,
    4360             :        784, 785, 786, 786, 787, 787, 788, 790, 792, 794, 794, 794, 796, 796, 797, 799, 799, 801, 803, 805, 807, 809, 809, 809, 812, 813, 814, 815, 816, 818,
    4361             :        820, 823, 826, 828, 830, 830, 832, 835, 838, 840, 846, 853, 872, 872, 873, 876, 876, 876, 876, 876, 878, 878, 879, 879, 879, 880, 881, 882, 885, 885,
    4362             :        886, 887, 888, 889, 890, 891, 891, 893, 893, 894, 897, 897, 897, 897, 897, 897, 899, 899, 900, 901, 902, 903, 904, 906, 906, 906, 906, 907, 908, 908,
    4363             :        909, 909, 910, 910, 912, 916, 916, 916, 916, 916, 917, 918, 918, 918, 918, 918, 919, 920, 923, 923, 923, 923, 923, 924, 924, 925, 925, 926, 926, 927,
    4364             :        928, 928, 928, 929, 932, 934, 936, 937, 939, 941, 945, 949, 954, 963, 980, 980, 981, 981, 982, 983, 984, 984, 984, 988, 990, 991, 992, 992, 992, 992,
    4365             :        993, 994, 994, 994, 995, 997, 998, 999,1000,1000,1001,1001,1001,1002,1002,1002,1003,1003,1005,1005,1006,1007,1007,1007,1007,1007,1008,1008,1009,1009,
    4366             :       1010,1011,1013,1015,1015,1015,1015,1015,1016,1017,1017,1018,1018,1020,1020,1022,1023,1023,1023,1023,1023,1024,1024,1024,1024,1024,1027,1028,1028,1028,
    4367             :       1028,1028,1028,1029,1031,1031,1031,1032,1034,1036,1040,1043,1046,1049,1055,1063,1078,1078,1079,1079};
    4368             : 
    4369             :     static const unsigned int ifin2[800]={
    4370             :          4,   4,   4,   5,   8,   8,  10,  11,  11,  11,  12,  15,  17,  18,  21,  22,  22,  24,  25,  25,  28,  29,  29,  29,  33,  34,  35,  36,  38,  40,
    4371             :         41,  42,  46,  47,  47,  48,  49,  52,  53,  55,  55,  55,  55,  55,  55,  57,  58,  59,  60,  64,  65,  65,  65,  66,  69,  69,  70,  70,  72,  72,
    4372             :         73,  76,  77,  79,  80,  82,  82,  84,  85,  86,  89,  91,  91,  92,  92,  94,  95,  96,  96,  96,  96,  99, 101, 101, 103, 104, 106, 106, 107, 108,
    4373             :        109, 112, 115, 115, 116, 117, 119, 120, 121, 121, 122, 122, 124, 125, 128, 128, 129, 129, 130, 130, 131, 132, 133, 134, 135, 136, 137, 138, 140, 141,
    4374             :        143, 145, 146, 149, 150, 151, 151, 152, 154, 154, 157, 158, 159, 159, 160, 161, 162, 164, 167, 169, 170, 170, 173, 174, 175, 177, 177, 178, 180, 182,
    4375             :        184, 184, 184, 184, 185, 185, 186, 189, 190, 191, 192, 192, 194, 195, 195, 197, 199, 199, 199, 199, 202, 202, 202, 203, 203, 206, 207, 209, 213, 215,
    4376             :        217, 219, 220, 222, 223, 223, 225, 226, 228, 228, 229, 229, 232, 232, 233, 234, 235, 237, 237, 240, 242, 242, 242, 244, 244, 245, 247, 247, 247, 248,
    4377             :        250, 252, 254, 256, 257, 257, 258, 259, 260, 262, 263, 264, 266, 267, 268, 270, 271, 272, 272, 273, 276, 277, 280, 285, 286, 289, 290, 291, 293, 298,
    4378             :        299, 299, 302, 303, 305, 305, 305, 308, 309, 311, 311, 313, 315, 318, 319, 319, 320, 322, 322, 323, 327, 327, 327, 328, 330, 330, 332, 333, 334, 335,
    4379             :        338, 339, 339, 342, 344, 344, 344, 346, 348, 348, 349, 350, 352, 353, 355, 357, 359, 360, 360, 360, 363, 363, 363, 364, 367, 368, 370, 370, 371, 372,
    4380             :        372, 372, 373, 374, 378, 378, 380, 383, 383, 386, 387, 389, 389, 389, 389, 391, 393, 393, 396, 399, 403, 404, 405, 408, 411, 425, 428, 428, 429, 430,
    4381             :        434, 434, 434, 435, 438, 441, 441, 445, 445, 445, 446, 447, 447, 447, 450, 452, 453, 455, 456, 459, 460, 460, 461, 463, 464, 464, 464, 465, 468, 468,
    4382             :        470, 470, 472, 473, 475, 476, 478, 479, 479, 480, 482, 483, 485, 487, 491, 492, 493, 494, 495, 496, 496, 497, 499, 499, 499, 500, 500, 503, 505, 505,
    4383             :        508, 511, 512, 512, 512, 515, 516, 516, 518, 518, 520, 522, 523, 524, 527, 529, 529, 529, 532, 532, 536, 539, 542, 548, 550, 556, 559, 564, 573, 579,
    4384             :        579, 579, 582, 585, 585, 585, 586, 587, 588, 591, 592, 592, 593, 595, 596, 596, 598, 598, 598, 599, 600, 602, 605, 607, 607, 607, 608, 609, 609, 611,
    4385             :        612, 612, 614, 616, 619, 619, 621, 621, 623, 624, 624, 625, 628, 628, 629, 632, 632, 634, 636, 636, 636, 637, 637, 638, 641, 641, 642, 643, 646, 647,
    4386             :        648, 649, 649, 651, 655, 657, 657, 658, 659, 660, 662, 662, 665, 666, 666, 667, 670, 671, 673, 675, 679, 679, 681, 684, 686, 690, 693, 695, 697, 700,
    4387             :        704, 707, 716, 729, 729, 731, 731, 734, 734, 735, 737, 739, 739, 741, 741, 742, 742, 743, 746, 746, 747, 748, 749, 751, 752, 753, 754, 757, 757, 758,
    4388             :        760, 761, 762, 762, 763, 764, 765, 768, 770, 771, 772, 772, 772, 774, 774, 775, 775, 777, 778, 782, 782, 782, 783, 784, 784, 786, 786, 786, 787, 788,
    4389             :        790, 791, 794, 794, 794, 795, 796, 797, 798, 799, 801, 802, 804, 805, 809, 809, 809, 810, 812, 813, 814, 816, 817, 818, 822, 825, 828, 828, 830, 832,
    4390             :        834, 837, 839, 843, 849, 861, 872, 873, 874, 876, 876, 876, 876, 877, 878, 878, 879, 879, 880, 880, 881, 884, 885, 886, 886, 887, 889, 889, 891, 891,
    4391             :        891, 893, 894, 895, 897, 897, 897, 897, 897, 898, 899, 900, 901, 902, 902, 903, 906, 906, 906, 906, 906, 907, 908, 908, 909, 909, 910, 912, 914, 916,
    4392             :        916, 916, 916, 917, 918, 918, 918, 918, 918, 918, 919, 923, 923, 923, 923, 923, 923, 924, 924, 925, 926, 926, 926, 928, 928, 928, 929, 931, 933, 935,
    4393             :        937, 938, 940, 942, 946, 951, 960, 968, 980, 981, 981, 981, 982, 984, 984, 984, 986, 988, 990, 991, 992, 992, 992, 993, 994, 994, 994, 994, 996, 998,
    4394             :        998,1000,1000,1001,1001,1001,1001,1002,1002,1003,1003,1004,1005,1005,1007,1007,1007,1007,1007,1007,1008,1008,1009,1009,1011,1013,1014,1015,1015,1015,
    4395             :       1015,1016,1017,1017,1017,1018,1018,1020,1021,1023,1023,1023,1023,1023,1024,1024,1024,1024,1024,1026,1027,1028,1028,1028,1028,1028,1028,1029,1031,1031,
    4396             :       1031,1032,1034,1038,1042,1044,1047,1052,1058,1078,1078,1079,1079,1079,1080,1082,1082,1082,1082,1084};
    4397             : 
    4398             :     static const unsigned int ini2[800]={
    4399             :          1,   1,   3,   4,   4,   4,   5,   8,   8,  10,  11,  11,  11,  12,  15,  17,  18,  21,  22,  22,  24,  25,  25,  28,  29,  29,  29,  33,  34,  35,
    4400             :         36,  38,  40,  41,  42,  46,  47,  47,  48,  49,  52,  53,  55,  55,  55,  55,  55,  55,  57,  58,  59,  60,  64,  65,  65,  65,  66,  69,  69,  70,
    4401             :         70,  72,  72,  73,  76,  77,  79,  80,  82,  82,  84,  85,  86,  89,  91,  91,  92,  92,  94,  95,  96,  96,  96,  96,  99, 101, 101, 103, 104, 106,
    4402             :        106, 107, 108, 109, 112, 115, 115, 116, 117, 119, 120, 121, 121, 122, 122, 124, 125, 128, 128, 129, 129, 130, 130, 131, 132, 133, 134, 135, 136, 137,
    4403             :        138, 140, 141, 143, 145, 146, 149, 150, 151, 151, 152, 154, 154, 157, 158, 159, 159, 160, 161, 162, 164, 167, 169, 170, 170, 173, 174, 175, 177, 177,
    4404             :        178, 180, 182, 184, 184, 184, 184, 185, 185, 186, 189, 190, 191, 192, 192, 194, 195, 195, 197, 199, 199, 199, 199, 202, 202, 202, 203, 203, 206, 207,
    4405             :        209, 213, 215, 217, 219, 220, 222, 223, 223, 225, 226, 228, 228, 229, 229, 232, 232, 233, 234, 235, 237, 237, 240, 242, 242, 242, 244, 244, 245, 247,
    4406             :        247, 247, 248, 250, 252, 254, 256, 257, 257, 258, 259, 260, 262, 263, 264, 266, 267, 268, 270, 271, 272, 272, 273, 276, 277, 280, 285, 286, 289, 290,
    4407             :        291, 293, 298, 299, 299, 302, 303, 305, 305, 305, 308, 309, 311, 311, 313, 315, 318, 319, 319, 320, 322, 322, 323, 327, 327, 327, 328, 330, 330, 332,
    4408             :        333, 334, 335, 338, 339, 339, 342, 344, 344, 344, 346, 348, 348, 349, 350, 352, 353, 355, 357, 359, 360, 360, 360, 363, 363, 363, 364, 367, 368, 370,
    4409             :        370, 371, 372, 372, 372, 373, 374, 378, 378, 380, 383, 383, 386, 387, 389, 389, 389, 389, 391, 393, 393, 393, 395, 398, 400, 401, 403, 404, 405, 408,
    4410             :        411, 425, 429, 429, 432, 434, 435, 438, 441, 441, 445, 445, 445, 446, 447, 447, 447, 450, 452, 453, 455, 456, 459, 460, 460, 461, 463, 464, 464, 464,
    4411             :        465, 468, 468, 470, 470, 472, 473, 475, 476, 478, 479, 479, 480, 482, 483, 485, 487, 491, 492, 493, 494, 495, 496, 496, 497, 499, 499, 499, 500, 500,
    4412             :        503, 505, 505, 508, 511, 512, 512, 512, 515, 516, 516, 518, 518, 520, 522, 523, 524, 527, 529, 529, 529, 529, 530, 532, 532, 533, 536, 539, 542, 548,
    4413             :        550, 556, 559, 564, 573, 579, 581, 583, 585, 586, 587, 588, 591, 592, 592, 593, 595, 596, 596, 598, 598, 598, 599, 600, 602, 605, 607, 607, 607, 608,
    4414             :        609, 609, 611, 612, 612, 614, 616, 619, 619, 621, 621, 623, 624, 624, 625, 628, 628, 629, 632, 632, 634, 636, 636, 636, 637, 637, 638, 641, 641, 642,
    4415             :        643, 646, 647, 648, 649, 649, 651, 655, 657, 657, 658, 659, 660, 662, 662, 665, 666, 666, 667, 670, 671, 673, 675, 679, 679, 681, 684, 686, 690, 693,
    4416             :        695, 697, 700, 704, 707, 716, 729, 729, 731, 731, 734, 734, 735, 737, 739, 739, 741, 741, 742, 742, 743, 746, 746, 747, 748, 749, 751, 752, 753, 754,
    4417             :        757, 757, 758, 760, 761, 762, 762, 763, 764, 765, 768, 770, 771, 772, 772, 772, 774, 774, 775, 775, 777, 778, 782, 782, 782, 783, 784, 784, 786, 786,
    4418             :        786, 787, 788, 790, 791, 794, 794, 794, 795, 796, 797, 798, 799, 801, 802, 804, 805, 809, 809, 809, 810, 812, 813, 814, 816, 817, 818, 822, 825, 828,
    4419             :        828, 830, 832, 834, 837, 839, 843, 849, 861, 872, 873, 874, 876, 876, 876, 876, 877, 878, 878, 879, 879, 880, 880, 881, 884, 885, 886, 886, 887, 889,
    4420             :        889, 891, 891, 891, 893, 894, 895, 897, 897, 897, 897, 897, 898, 899, 900, 901, 902, 902, 903, 906, 906, 906, 906, 906, 907, 908, 908, 909, 909, 910,
    4421             :        912, 914, 916, 916, 916, 916, 917, 918, 918, 918, 918, 918, 918, 919, 923, 923, 923, 923, 923, 923, 924, 924, 925, 926, 926, 926, 928, 928, 928, 929,
    4422             :        931, 933, 935, 937, 938, 940, 942, 946, 951, 960, 968, 980, 981, 981, 981, 982, 984, 984, 984, 986, 988, 990, 991, 992, 992, 992, 993, 994, 994, 994,
    4423             :        994, 996, 998, 998,1000,1000,1001,1001,1001,1001,1002,1002,1003,1003,1004,1005,1005,1007,1007,1007,1007,1007,1007,1008,1008,1009,1009,1011,1013,1014,
    4424             :       1015,1015,1015,1015,1016,1017,1017,1017,1018,1018,1020,1021,1023,1023,1023,1023,1023,1024,1024,1024,1024,1024,1026,1027,1028,1028,1028,1028,1028,1028,
    4425             :       1029,1031,1031,1031,1032,1034,1038,1042,1044,1047,1052,1058,1078,1078,1079,1079,1079,1080,1082,1082};
    4426             : 
    4427             :     static const unsigned int ifin3[800]={
    4428             :          3,   4,   4,   4,   5,   8,   8,  10,  11,  11,  11,  12,  15,  17,  18,  21,  22,  22,  24,  25,  25,  28,  29,  29,  29,  33,  34,  35,  36,  38,
    4429             :         40,  41,  42,  46,  47,  47,  48,  49,  52,  53,  55,  55,  55,  55,  55,  55,  57,  58,  59,  60,  64,  65,  65,  65,  66,  69,  69,  70,  70,  72,
    4430             :         72,  73,  76,  77,  79,  80,  82,  82,  84,  85,  86,  89,  91,  91,  92,  92,  94,  95,  96,  96,  96,  96,  99, 101, 101, 103, 104, 106, 106, 107,
    4431             :        108, 109, 112, 115, 115, 116, 117, 119, 120, 121, 121, 122, 122, 124, 125, 128, 128, 129, 129, 130, 130, 131, 132, 133, 134, 135, 136, 137, 138, 140,
    4432             :        141, 143, 145, 146, 149, 150, 151, 151, 152, 154, 154, 157, 158, 159, 159, 160, 161, 162, 164, 167, 169, 170, 170, 173, 174, 175, 177, 177, 178, 180,
    4433             :        182, 184, 184, 184, 184, 185, 185, 186, 189, 190, 191, 192, 192, 194, 195, 195, 197, 199, 199, 199, 199, 202, 202, 202, 203, 203, 206, 207, 209, 213,
    4434             :        215, 217, 219, 220, 222, 223, 223, 225, 226, 228, 228, 229, 229, 232, 232, 233, 234, 235, 237, 237, 240, 242, 242, 242, 244, 244, 245, 247, 247, 247,
    4435             :        248, 250, 252, 254, 256, 257, 257, 258, 259, 260, 262, 263, 264, 266, 267, 268, 270, 271, 272, 272, 273, 276, 277, 280, 285, 286, 289, 290, 291, 293,
    4436             :        298, 299, 299, 302, 303, 305, 305, 305, 308, 309, 311, 311, 313, 315, 318, 319, 319, 320, 322, 322, 323, 327, 327, 327, 328, 330, 330, 332, 333, 334,
    4437             :        335, 338, 339, 339, 342, 344, 344, 344, 346, 348, 348, 349, 350, 352, 353, 355, 357, 359, 360, 360, 360, 363, 363, 363, 364, 367, 368, 370, 370, 371,
    4438             :        372, 372, 372, 373, 374, 378, 378, 380, 383, 383, 386, 387, 389, 389, 389, 389, 391, 393, 393, 396, 400, 401, 403, 404, 405, 408, 411, 425, 428, 428,
    4439             :        429, 430, 432, 434, 435, 438, 441, 441, 445, 445, 445, 446, 447, 447, 447, 450, 452, 453, 455, 456, 459, 460, 460, 461, 463, 464, 464, 464, 465, 468,
    4440             :        468, 470, 470, 472, 473, 475, 476, 478, 479, 479, 480, 482, 483, 485, 487, 491, 492, 493, 494, 495, 496, 496, 497, 499, 499, 499, 500, 500, 503, 505,
    4441             :        505, 508, 511, 512, 512, 512, 515, 516, 516, 518, 518, 520, 522, 523, 524, 527, 529, 529, 529, 532, 532, 533, 536, 539, 542, 548, 550, 556, 559, 564,
    4442             :        573, 579, 579, 579, 582, 583, 585, 586, 587, 588, 591, 592, 592, 593, 595, 596, 596, 598, 598, 598, 599, 600, 602, 605, 607, 607, 607, 608, 609, 609,
    4443             :        611, 612, 612, 614, 616, 619, 619, 621, 621, 623, 624, 624, 625, 628, 628, 629, 632, 632, 634, 636, 636, 636, 637, 637, 638, 641, 641, 642, 643, 646,
    4444             :        647, 648, 649, 649, 651, 655, 657, 657, 658, 659, 660, 662, 662, 665, 666, 666, 667, 670, 671, 673, 675, 679, 679, 681, 684, 686, 690, 693, 695, 697,
    4445             :        700, 704, 707, 716, 729, 729, 731, 731, 734, 734, 735, 737, 739, 739, 741, 741, 742, 742, 743, 746, 746, 747, 748, 749, 751, 752, 753, 754, 757, 757,
    4446             :        758, 760, 761, 762, 762, 763, 764, 765, 768, 770, 771, 772, 772, 772, 774, 774, 775, 775, 777, 778, 782, 782, 782, 783, 784, 784, 786, 786, 786, 787,
    4447             :        788, 790, 791, 794, 794, 794, 795, 796, 797, 798, 799, 801, 802, 804, 805, 809, 809, 809, 810, 812, 813, 814, 816, 817, 818, 822, 825, 828, 828, 830,
    4448             :        832, 834, 837, 839, 843, 849, 861, 872, 873, 874, 876, 876, 876, 876, 877, 878, 878, 879, 879, 880, 880, 881, 884, 885, 886, 886, 887, 889, 889, 891,
    4449             :        891, 891, 893, 894, 895, 897, 897, 897, 897, 897, 898, 899, 900, 901, 902, 902, 903, 906, 906, 906, 906, 906, 907, 908, 908, 909, 909, 910, 912, 914,
    4450             :        916, 916, 916, 916, 917, 918, 918, 918, 918, 918, 918, 919, 923, 923, 923, 923, 923, 923, 924, 924, 925, 926, 926, 926, 928, 928, 928, 929, 931, 933,
    4451             :        935, 937, 938, 940, 942, 946, 951, 960, 968, 980, 981, 981, 981, 982, 984, 984, 984, 986, 988, 990, 991, 992, 992, 992, 993, 994, 994, 994, 994, 996,
    4452             :        998, 998,1000,1000,1001,1001,1001,1001,1002,1002,1003,1003,1004,1005,1005,1007,1007,1007,1007,1007,1007,1008,1008,1009,1009,1011,1013,1014,1015,1015,
    4453             :       1015,1015,1016,1017,1017,1017,1018,1018,1020,1021,1023,1023,1023,1023,1023,1024,1024,1024,1024,1024,1026,1027,1028,1028,1028,1028,1028,1028,1029,1031,
    4454             :       1031,1031,1032,1034,1038,1042,1044,1047,1052,1058,1078,1078,1079,1079,1079,1080,1082,1082,1082,1082};
    4455             : 
    4456             :     static const unsigned int ini3[800]={
    4457             :          1,   3,   4,   4,   4,   5,   8,   8,  10,  11,  11,  11,  12,  15,  17,  18,  21,  22,  22,  24,  25,  25,  28,  29,  29,  29,  33,  34,  35,  36,
    4458             :         38,  40,  41,  42,  46,  47,  47,  48,  49,  52,  53,  55,  55,  55,  55,  55,  55,  57,  58,  59,  60,  64,  65,  65,  65,  66,  69,  69,  70,  70,
    4459             :         72,  72,  73,  76,  77,  79,  80,  82,  82,  84,  85,  86,  89,  91,  91,  92,  92,  94,  95,  96,  96,  96,  96,  99, 101, 101, 103, 104, 106, 106,
    4460             :        107, 108, 109, 112, 115, 115, 116, 117, 119, 120, 121, 121, 122, 122, 124, 125, 128, 128, 129, 129, 130, 130, 131, 132, 133, 134, 135, 136, 137, 138,
    4461             :        140, 141, 143, 145, 146, 149, 150, 151, 151, 152, 154, 154, 157, 158, 159, 159, 160, 161, 162, 164, 167, 169, 170, 170, 173, 174, 175, 177, 177, 178,
    4462             :        180, 182, 184, 184, 184, 184, 185, 185, 186, 189, 190, 191, 192, 192, 194, 195, 195, 197, 199, 199, 199, 199, 202, 202, 202, 203, 203, 206, 207, 209,
    4463             :        213, 215, 217, 219, 220, 222, 223, 223, 225, 226, 228, 228, 229, 229, 232, 232, 233, 234, 235, 237, 237, 240, 242, 242, 242, 244, 244, 245, 247, 247,
    4464             :        247, 248, 250, 252, 254, 256, 257, 257, 258, 259, 260, 262, 263, 264, 266, 267, 268, 270, 271, 272, 272, 273, 276, 277, 280, 285, 286, 289, 290, 291,
    4465             :        293, 298, 299, 299, 302, 303, 305, 305, 305, 308, 309, 311, 311, 313, 315, 318, 319, 319, 320, 322, 322, 323, 327, 327, 327, 328, 330, 330, 332, 333,
    4466             :        334, 335, 338, 339, 339, 342, 344, 344, 344, 346, 348, 348, 349, 350, 352, 353, 355, 357, 359, 360, 360, 360, 363, 363, 363, 364, 367, 368, 370, 370,
    4467             :        371, 372, 372, 372, 373, 374, 378, 378, 380, 383, 383, 386, 387, 389, 389, 389, 389, 391, 393, 393, 395, 398, 400, 401, 403, 404, 405, 408, 411, 425,
    4468             :        428, 428, 429, 432, 434, 435, 438, 441, 441, 445, 445, 445, 446, 447, 447, 447, 450, 452, 453, 455, 456, 459, 460, 460, 461, 463, 464, 464, 464, 465,
    4469             :        468, 468, 470, 470, 472, 473, 475, 476, 478, 479, 479, 480, 482, 483, 485, 487, 491, 492, 493, 494, 495, 496, 496, 497, 499, 499, 499, 500, 500, 503,
    4470             :        505, 505, 508, 511, 512, 512, 512, 515, 516, 516, 518, 518, 520, 522, 523, 524, 527, 529, 529, 529, 530, 532, 532, 533, 536, 539, 542, 548, 550, 556,
    4471             :        559, 564, 573, 579, 579, 581, 583, 585, 586, 587, 588, 591, 592, 592, 593, 595, 596, 596, 598, 598, 598, 599, 600, 602, 605, 607, 607, 607, 608, 609,
    4472             :        609, 611, 612, 612, 614, 616, 619, 619, 621, 621, 623, 624, 624, 625, 628, 628, 629, 632, 632, 634, 636, 636, 636, 637, 637, 638, 641, 641, 642, 643,
    4473             :        646, 647, 648, 649, 649, 651, 655, 657, 657, 658, 659, 660, 662, 662, 665, 666, 666, 667, 670, 671, 673, 675, 679, 679, 681, 684, 686, 690, 693, 695,
    4474             :        697, 700, 704, 707, 716, 729, 729, 731, 731, 734, 734, 735, 737, 739, 739, 741, 741, 742, 742, 743, 746, 746, 747, 748, 749, 751, 752, 753, 754, 757,
    4475             :        757, 758, 760, 761, 762, 762, 763, 764, 765, 768, 770, 771, 772, 772, 772, 774, 774, 775, 775, 777, 778, 782, 782, 782, 783, 784, 784, 786, 786, 786,
    4476             :        787, 788, 790, 791, 794, 794, 794, 795, 796, 797, 798, 799, 801, 802, 804, 805, 809, 809, 809, 810, 812, 813, 814, 816, 817, 818, 822, 825, 828, 828,
    4477             :        830, 832, 834, 837, 839, 843, 849, 861, 872, 873, 874, 876, 876, 876, 876, 877, 878, 878, 879, 879, 880, 880, 881, 884, 885, 886, 886, 887, 889, 889,
    4478             :        891, 891, 891, 893, 894, 895, 897, 897, 897, 897, 897, 898, 899, 900, 901, 902, 902, 903, 906, 906, 906, 906, 906, 907, 908, 908, 909, 909, 910, 912,
    4479             :        914, 916, 916, 916, 916, 917, 918, 918, 918, 918, 918, 918, 919, 923, 923, 923, 923, 923, 923, 924, 924, 925, 926, 926, 926, 928, 928, 928, 929, 931,
    4480             :        933, 935, 937, 938, 940, 942, 946, 951, 960, 968, 980, 981, 981, 981, 982, 984, 984, 984, 986, 988, 990, 991, 992, 992, 992, 993, 994, 994, 994, 994,
    4481             :        996, 998, 998,1000,1000,1001,1001,1001,1001,1002,1002,1003,1003,1004,1005,1005,1007,1007,1007,1007,1007,1007,1008,1008,1009,1009,1011,1013,1014,1015,
    4482             :       1015,1015,1015,1016,1017,1017,1017,1018,1018,1020,1021,1023,1023,1023,1023,1023,1024,1024,1024,1024,1024,1026,1027,1028,1028,1028,1028,1028,1028,1029,
    4483             :       1031,1031,1031,1032,1034,1038,1042,1044,1047,1052,1058,1078,1078,1079,1079,1079,1080,1082,1082,1082};
    4484             : 
    4485             : 
    4486             : 
    4487             :     static const double pi=3.141592654;
    4488             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
    4489             :     static const double mu=0.53;  //Debyes
    4490             :     static const double mmol=48.0;
    4491             : 
    4492             :     //double q=0.649698902072*pow(tt,1.5);
    4493    10668574 :     double q=0.649698902072*tt*sqrt(tt);
    4494             :     unsigned int vp;
    4495             :     unsigned int ini;
    4496             :     unsigned int ifin;
    4497    10668574 :     std::complex<double>  lshape;
    4498    10668574 :     std::complex<double>  lshapeacum;
    4499             : 
    4500    10668574 :     if(nu>1599.9){                                                 // FIXED 15/11/2018  999.9 --> 1599.9
    4501             : 
    4502           0 :       return std::complex<double> (0.0,0.0);
    4503             : 
    4504             :     }else{
    4505             : 
    4506    10668574 :       vp = vpIndex(nu);
    4507             : 
    4508    10668574 :       if(pp<25){ ini=ini3[vp]; ifin=ifin3[vp]; }else{ if(pp<300){ ini=ini2[vp]; ifin=ifin2[vp]; }else{ ini=ini1[vp]; ifin=ifin1[vp];} }
    4509    10668574 :       if(ini>21){ini=ini-20;}else{ini=1;}           // NEW PATCH 02 SEP 2016
    4510    10668574 :       if(ifin<1132){ifin=ifin+20;}else{ifin=1151;}  // NEW PATCH 02 SEP 2016
    4511    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
    4512    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
    4513             : 
    4514    10668574 :       if(ifin==0||ifin<ini){
    4515             : 
    4516           0 :         return std::complex<double> (0.0,0.0);
    4517             : 
    4518             :       }else{
    4519             : 
    4520   498074550 :         for(unsigned int i=ini; i<ifin+1; i++){
    4521             : 
    4522   487405976 :           lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,brdO3air[i]*0.001,texpO3[i]),0.0);   // broadening en GHz/mb 20/6/2018
    4523   487405976 :           lshape=lshape*flin[i]*exp(-el[i]/tt)*fre[i];
    4524   487405976 :           lshapeacum=lshapeacum+lshape;
    4525             : 
    4526             :         }
    4527             : 
    4528    10668574 :         lshapeacum=lshapeacum*(nu/pi)*(picube8div3hcesu*pow(mu,2)/q)  // imaginary part: absorption coefficient in cm^2
    4529    21337148 :           *(0.047992745509/tt);                                                               // real part: delay in rad*cm^2
    4530             : 
    4531    10668574 :         return lshapeacum*1e-4;    // to give it in SI units (  rad m^2 , m^2 )
    4532             : 
    4533             :       }
    4534             : 
    4535             :     }
    4536             : 
    4537             :   }
    4538             : 
    4539             :   //////////////////////// Opacity Source Number: 20 /////////////////////////////
    4540             : 
    4541    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_16o16o18o(double tt, double pp, double nu){
    4542             : 
    4543             : 
    4544             :     static const double fre[1376]={
    4545             :         1.21070,  1.40107,  3.24421,  4.44257,  5.07082,  6.45606, 6.46214,  7.18274,  9.22571,  9.64238,  9.82332, 11.81293, 11.82647, 12.32145, 14.04262, 14.87170, 15.08468, 15.96915,
    4546             :        17.14708, 18.02649, 19.26349, 19.34807, 20.07627, 21.08581,21.68351, 22.91616, 25.51893, 26.38841, 26.68980, 27.60790, 28.23913, 28.81666, 29.11111, 30.14474, 30.87775, 32.13823,
    4547             :        32.25339, 32.32639, 32.74316, 33.53720, 33.59888, 33.93079,34.10322, 34.61207, 37.60662, 38.26852, 38.42324, 39.44573, 40.07897, 40.55548, 41.06401, 43.27116, 44.38350, 44.59401,
    4548             :        44.62618, 46.08673, 46.72318, 47.12931, 47.41900, 48.45840,50.03510, 50.37651, 51.06955, 51.64189, 52.14983, 52.73190, 53.05164, 55.78990, 56.49044, 57.11214, 57.21999, 57.36937,
    4549             :        58.22631, 58.62853, 58.90553, 58.98963, 59.51822, 60.80101,61.31357, 61.39819, 62.09401, 63.00827, 63.24591, 64.66193, 64.95043, 68.52572, 69.15639, 69.53537, 70.20760, 70.46912,
    4550             :        75.33346, 75.63018, 75.66417, 78.29599, 78.52193, 78.57124,79.68900, 80.20561, 81.15699, 81.36882, 82.27121, 82.66297, 83.55060, 83.85309, 83.92603, 85.09023, 86.71541, 87.71149,
    4551             :        88.13735, 90.86654, 92.34901, 93.35448, 93.76880, 94.74870,95.57437, 96.67105, 96.86870, 98.64027, 98.65137, 99.74864,100.20649,103.43355,103.78249,104.02308,104.63445,104.66194,
    4552             :       105.77239,106.87446,106.98571,107.20001,107.97867,109.69159,110.35937,110.39784,110.67766,112.79684,113.44836,114.25342,114.33874,114.61949,114.73743,115.77980,116.21822,118.28928,
    4553             :       118.98282,119.00652,119.91436,120.82849,121.77770,121.91278,123.19865,123.67594,127.37543,127.45341,130.59339,131.46054,131.51147,131.80246,131.99127,132.30167,132.52231,136.14401,
    4554             :       136.61964,137.18896,137.46570,138.07772,138.20511,138.71467,140.45848,140.79993,142.04328,143.80623,144.15361,144.42956,145.42213,146.06243,148.07961,148.26074,148.66918,149.09690,
    4555             :       149.53689,150.23368,150.30267,154.58863,155.63695,155.93990,156.33691,156.44072,157.27813,157.64697,158.59949,159.16465,159.22943,159.46644,159.94657,162.86428,165.32427,166.27687,
    4556             :       166.71393,166.79824,168.32138,169.11601,169.12907,169.27002,169.57357,169.84888,169.99077,171.99468,172.06613,173.26686,174.77337,175.17621,175.85839,176.40117,178.01611,179.44935,
    4557             :       181.02347,181.09009,181.43048,181.91066,182.34172,182.90828,183.81597,184.08711,185.12444,185.79099,187.44265,189.03764,189.71983,192.39247,192.94900,193.11355,194.32362,194.65798,
    4558             :       196.42626,196.80010,197.99957,199.20019,201.46688,202.22950,202.38556,203.99797,204.59163,205.50254,205.73039,206.58183,207.33057,208.08472,210.67238,211.16086,213.35477,215.99872,
    4559             :       216.88220,217.86269,219.30263,219.30829,220.75569,221.31972,221.67886,221.96171,222.37245,222.43228,223.07527,225.03877,225.97494,226.86866,227.76401,230.34551,232.05756,232.52508,
    4560             :       232.61065,232.72369,233.17642,233.35120,234.05609,234.18358,235.08209,236.62098,236.77838,237.58731,237.91819,238.11050,240.50749,240.63652,240.72718,240.88279,243.14828,244.21995,
    4561             :       244.35517,244.92848,245.79591,246.82881,247.04143,248.32117,249.85553,249.98649,252.00142,252.47524,252.55800,253.04464,253.70145,253.82768,254.92297,256.05710,256.31106,256.67155,
    4562             :       257.76324,258.01642,258.18432,258.63286,259.48289,260.77196,260.85656,261.34863,262.04071,264.48142,264.64912,264.92363,268.18885,268.26990,269.05626,270.07786,270.74416,271.29182,
    4563             :       271.88301,272.04176,273.30214,273.87460,274.47497,275.21735,275.87025,277.93454,278.10630,279.45353,279.99077,281.47786,282.06916,282.26109,282.79926,283.11005,284.84589,286.16590,
    4564             :       287.00506,287.53565,288.31652,288.32538,288.98279,289.83845,292.51278,293.24555,293.81634,294.83623,295.43284,295.79586,296.07556,296.40526,296.77259,296.84768,296.96538,297.41369,
    4565             :       300.55634,302.97931,303.03389,303.93073,307.72839,307.95579,308.85807,309.37899,310.26732,311.72203,313.04314,313.99606,314.51046,316.45409,318.09095,318.50051,319.28458,319.37540,
    4566             :       320.36075,320.89596,321.72852,321.81515,323.69618,324.26344,324.84141,326.23545,326.39518,326.75229,327.68991,328.35058,331.78907,332.55927,332.72412,332.81002,334.01651,335.91561,
    4567             :       336.23573,337.09179,340.63209,342.09518,342.81981,343.11010,343.25458,343.49694,343.51777,344.03505,344.85343,346.53073,346.59400,347.26703,349.54691,351.47981,352.11836,352.26070,
    4568             :       352.71111,353.24723,353.52947,354.47160,355.20874,357.29833,357.29960,357.41797,357.54469,358.16141,360.58411,361.11968,361.80965,362.24997,362.61347,362.87669,364.51324,366.41657,
    4569             :       367.32397,367.35722,367.44416,367.53860,367.64723,367.76921,367.90274,368.07446,369.00065,371.25908,371.30493,372.59695,373.03881,373.22172,374.36477,376.14807,376.71115,377.01207,
    4570             :       377.50259,379.77293,381.49996,381.95635,382.04049,384.76928,384.78635,384.79948,385.12103,385.29918,385.65111,386.07136,386.57446,386.80212,388.93012,390.04362,391.29440,391.97457,
    4571             :       392.11465,393.17538,394.13259,395.91801,395.95097,397.86955,399.49470,401.05800,401.25461,401.59086,402.92698,403.44027,404.36556,406.53582,406.59498,407.56509,408.16451,408.90905,
    4572             :       409.01121,409.09286,409.39842,409.41079,410.39895,411.45191,411.55042,413.11147,414.85819,416.24018,416.42041,416.51558,418.92858,420.51165,420.53513,421.83401,423.07628,423.14086,
    4573             :       424.85389,425.31568,425.44098,427.10250,427.40775,429.59674,430.07153,431.04376,431.08489,431.93129,432.14601,432.93552,433.03452,433.04109,433.97195,433.98085,435.51484,440.40239,
    4574             :       440.51886,440.78997,440.82803,440.85359,442.36363,444.49337,445.02359,445.04384,445.06041,445.49603,449.06842,449.49662,449.50509,449.57428,449.78999,450.49226,452.86621,455.48542,
    4575             :       455.51367,455.61197,456.81297,456.89766,456.94716,457.79229,457.95642,458.13239,458.49264,458.49899,459.46966,459.51841,460.71411,460.93572,461.59860,462.19501,462.57085,462.78686,
    4576             :       462.89527,462.97203,463.01661,463.10521,463.24839,463.25918,463.50350,463.66841,463.86652,464.37959,465.07661,465.09069,465.13247,465.27112,465.57704,465.99368,466.50100,466.51057,
    4577             :       467.16853,467.39917,468.23762,468.30861,468.64011,469.51821,469.52980,470.44808,471.33120,471.56604,472.01682,472.63227,473.61159,473.65823,474.16089,475.23223,476.36350,477.69281,
    4578             :       478.28672,478.84256,479.86567,479.88482,480.81084,480.83334,481.83326,482.48197,482.65870,482.96312,482.96762,484.55028,485.07625,485.38736,485.90768,489.32926,489.35618,489.62506,
    4579             :       489.75896,490.40345,490.54375,490.83933,490.94956,491.04281,493.02604,493.42750,493.93817,493.94619,495.77279,497.66995,497.69697,497.73528,498.01955,498.48951,501.62334,502.11550,
    4580             :       504.18900,504.20181,504.68754,504.69654,507.03933,507.07912,507.38591,507.38907,507.98950,508.12085,508.29298,509.30978,513.51173,513.52871,514.90757,515.28747,516.74694,518.30695,
    4581             :       518.31244,518.44813,518.53666,521.67988,521.69490,521.97193,523.14180,523.47093,523.50482,524.13541,526.16012,526.83019,528.45962,528.46806,528.53782,528.54082,528.75390,531.01496,
    4582             :       531.69871,531.76344,531.76564,534.36396,534.36882,534.38430,536.60446,537.13850,537.19543,537.64362,537.65409,538.70044,539.11790,540.96923,542.62762,542.63134,544.51878,545.64855,
    4583             :       545.65651,547.48854,549.62671,550.44846,550.96046,551.13229,552.68145,552.68693,553.28706,554.45594,555.44790,556.09803,556.09955,556.33799,557.70863,558.14266,558.22028,559.22392,
    4584             :       561.67547,561.72999,561.73628,563.06379,563.33596,564.35990,564.38276,566.90311,566.90560,567.64302,567.77946,568.92470,568.92529,569.58232,569.58630,573.11337,576.60902,576.85819,
    4585             :       576.86169,577.15570,578.60486,579.99351,580.39191,580.39295,581.85702,582.09052,582.20978,582.57828,582.80127,582.85387,585.26930,585.77550,585.77918,586.13341,586.77421,586.81389,
    4586             :       588.41716,591.13620,591.13785,592.40975,592.49106,593.20438,593.20479,593.48680,593.48866,594.48768,594.59683,598.13452,600.98317,600.99333,600.99553,602.15579,602.21239,602.56882,
    4587             :       604.64725,604.64795,605.46928,605.82998,606.01564,606.60048,609.10048,609.78446,609.78654,610.27681,610.39657,611.69661,611.95624,615.30837,615.32958,615.33066,617.36698,617.36778,
    4588             :       617.44993,617.45021,617.55894,618.92843,620.78631,620.78745,622.16715,622.20531,623.98025,625.09017,625.09152,625.56371,625.93958,628.29531,628.86612,628.86659,628.92592,629.67728,
    4589             :       630.02155,631.77535,633.17849,633.59738,633.76086,633.76200,636.12410,638.27739,638.57395,638.79307,639.48580,639.48649,640.58817,640.71147,640.84415,641.22732,641.22762,641.66298,
    4590             :       641.66317,642.07819,642.22502,642.52477,643.52080,643.53934,644.44788,644.58149,645.11523,645.39685,645.89917,645.90669,645.99080,645.99468,646.02552,646.12819,646.22268,646.29884,
    4591             :       646.48600,646.50248,646.61535,646.67610,646.85773,646.85869,647.02614,647.11674,647.17345,647.20729,647.29790,647.30082,647.39871,647.42761,647.47671,647.51154,647.53391,647.56424,
    4592             :       647.57321,647.59497,647.59796,647.61098,647.61173,647.65449,648.03515,649.13717,649.13946,649.15182,649.15263,650.55275,652.16298,652.32191,653.05053,653.05084,653.76962,654.13975,
    4593             :       654.48483,654.58846,656.38805,656.75948,657.02914,657.08130,657.70843,657.70903,660.15023,661.26387,663.13956,663.60730,663.60774,663.72916,665.02113,665.07175,665.07186,665.84512,
    4594             :       665.84525,667.39255,667.85380,669.04196,669.60675,672.54626,672.55760,673.18126,673.18173,675.10720,677.08732,677.20242,677.20263,677.43809,677.87139,678.40771,678.98427,679.78431,
    4595             :       680.29571,681.63063,681.63093,682.06554,682.27075,683.22329,683.82297,684.01971,686.64712,687.69645,687.69673,688.90380,688.90383,689.29147,689.99789,689.99798,690.43686,693.11450,
    4596             :       695.11110,696.93648,697.18129,697.18157,697.67762,697.73402,700.37592,701.32367,701.32381,702.69069,702.86925,703.94073,705.13677,705.53068,705.53082,705.58801,705.68098,705.73165,
    4597             :       705.85869,706.59435,708.21471,708.37987,711.75551,711.75568,714.12279,714.12285,714.44306,717.84641,719.78800,720.82789,721.15460,721.15475,721.66234,723.87750,724.39538,724.42402,
    4598             :       725.41609,725.41618,725.49517,725.85055,726.46394,727.57503,728.64719,729.41157,729.41164,729.48425,730.20257,733.51382,733.98269,734.04019,735.52556,735.78664,735.78674,738.22127,
    4599             :       738.22131,740.49217,741.35002,741.40945,742.74841,742.85912,742.85923,744.93222,745.10372,745.10381,747.97617,748.21215,749.48144,749.48149,749.86413,750.21580,750.21582,750.79297,
    4600             :       752.10047,752.58302,753.11651,753.27609,753.27612,756.55071,757.83843,759.79193,759.79199,760.33449,761.15853,761.48412,761.53470,762.27689,762.29474,762.29477,764.72410,766.66813,
    4601             :       766.66888,768.88878,769.03107,769.03112,769.08833,769.51994,769.65027,770.85405,773.52139,773.52143,774.06070,774.27140,774.27141,777.04769,777.12681,777.12682,777.36452,777.95894,
    4602             :       780.13672,780.74968,781.93579,782.48747,783.77339,783.77342,784.22447,784.43941,786.34458,786.34459,788.39610,788.48236,790.47164,790.47467,790.64591,791.46491,792.93893,792.93895,
    4603             :       793.43155,794.17310,795.67750,796.07213,796.11832,796.35108,797.53761,797.53763,798.30588,798.30589,800.36014,800.96608,800.96608,801.38744,801.40866,801.91008,803.77677,805.80766,
    4604             :       807.73293,807.73295,809.66695,810.09626,810.37211,810.37212,812.67120,812.96025,813.02079,813.40062,814.26482,814.27392,814.75766,815.46083,815.92320,815.95370,816.82946,816.82947,
    4605             :       818.12520,818.42552,819.47775,819.48443,819.67566,819.73235,820.04328,820.25948,820.33320,820.48590,820.54776,820.57556,821.10480,821.15862,821.53165,821.53167,821.84791,822.30778,
    4606             :       822.32035,822.32035,822.41712,822.59040,823.36365,823.90797,823.98981,824.14808,824.79606,824.79606,824.92696,825.17136,825.26691,825.32901,825.68627,825.94455,826.41465,826.46609,
    4607             :       827.10322,827.42861,827.74537,828.24064,828.33656,828.45584,828.87411,828.92314,829.35693,829.49427,829.52073,829.76144,829.78510,829.78530,829.96976,830.11913,830.16065,830.36321,
    4608             :       830.48531,830.68638,830.76232,830.94950,830.99525,831.16144,831.18802,831.32994,831.34476,831.46180,831.46967,831.47887,831.56298,831.56692,831.63873,831.64057,831.67239,831.67240,
    4609             :       831.69369,831.69449,831.73197,831.73228,831.75717,831.75727,831.77243,831.77246,831.78050,831.78051,834.37862,834.37863,835.04892,835.43977,838.04109,838.06387,838.17139,838.42823,
    4610             :       839.19916,840.21170,840.61148,840.63667,840.70470,840.70470,842.08261,843.96024,845.50507,845.50507,846.31583,846.31583,847.43928,848.61872,848.61872,848.95703,849.35994,854.93955,
    4611             :       855.59353,855.59354,856.05814,857.07756,857.56647,858.36538,858.36538,860.86160,861.23930,861.79181,861.84200,862.32467,864.54651,864.56657,864.56657,865.60487,866.00194,868.34710,
    4612             :       869.45932,869.45932,870.29335,870.29335,870.78002,872.49606,876.68766,879.49804,879.49804,879.76652,882.11104,882.33360,882.33360,883.25925,884.24714,884.45818,884.75270,885.50586,
    4613             :       885.60640,885.69812,888.41687,888.41687,890.97350,893.39583,893.39583,894.25391,894.25392,895.89991,898.48648,898.70178,899.71318,902.02728,903.22322,903.32775,903.38753,903.38753,
    4614             :       904.98777,905.62572,906.28445,906.28445,906.60719,909.16916,909.35615,912.25730,912.25730,912.85657,913.25405,915.56947,917.31597,917.31597,918.19848,918.19849,919.18324,922.80658,
    4615             :       924.33760,925.16960,925.95414,927.26352,927.26353,927.96478,928.76747,928.88596,929.16975,929.16975,930.21909,930.21909,931.55544,932.76419,933.09182,936.08941,936.08941,936.66866,
    4616             :       936.70166,939.83106,940.78265,941.22106,941.22107,942.12800,942.12800,942.35934,942.64329,942.69961,945.12794,946.68766,947.50874,950.27954,950.83765,950.83765,950.93544,951.12749,
    4617             :       951.12749,952.80471,952.89747,953.07341,953.07341,954.13862,954.13862,956.26938,956.81594,957.65233,959.74004,959.91465,959.91465,962.79858,963.74344,963.79680,965.11238,965.11238,
    4618             :       965.44009,965.98141,966.04339,966.04339,967.19873,969.06889,971.58011,972.57255,973.10806,973.21488,974.64913,974.64914,974.98080,974.98080,976.21870,976.58902,976.96461,976.96461,
    4619             :       977.09168,977.31514,978.04411,978.04411,979.65849,980.53350,981.06081,983.23500,983.73436,983.73436,984.78731,985.04662,985.34090,986.17747,987.19226,987.50214,988.35245,988.43609,
    4620             :       988.59501,988.99113,988.99113,989.62723,989.94554,989.94554,990.98800,991.47382,991.75139,992.40854,992.98404,993.86508,994.55760,994.84591,995.05568,995.28280,995.33640,996.80376,
    4621             :       997.05175,998.25096,998.45785,998.45787,998.82477,998.82477,999.26827,999.66418};
    4622             : 
    4623             :     static const double flin[1376]={
    4624             :       .150E+01, .849E+01, .208E+01, .848E+01, .314E+01, .709E+01, .158E+01, .725E+01, .451E+01, .318E+01, .582E+01, .464E+01, .327E+01, .570E+01, .598E+01, .163E+01, .455E+01, .434E+01,
    4625             :       .590E+01, .707E+01, .104E+01, .138E+01, .303E+01, .307E+01, .728E+01, .319E+01, .830E+01, .121E+01, .129E+01, .242E+01, .113E+01, .177E+01, .137E+01, .829E+01, .436E+01, .475E+01,
    4626             :       .104E+01, .742E+01, .216E+01, .176E+01, .142E+01, .565E+01, .690E+01, .317E+01, .614E+01, .298E+01, .950E+00, .127E+01, .146E+01, .192E+01, .551E+01, .688E+01, .511E+00, .312E+01,
    4627             :       .353E+01, .413E+01, .866E+00, .475E+01, .608E+01, .147E+01, .208E+01, .746E+01, .278E+01, .485E+01, .811E+01, .305E+01, .420E+01, .810E+01, .286E+01, .786E+00, .224E+01, .758E+01,
    4628             :       .547E+01, .145E+01, .295E+01, .279E+01, .276E+01, .628E+01, .671E+01, .117E+01, .239E+01, .283E+01, .145E+01, .255E+01, .270E+01, .670E+01, .531E+01, .713E+00, .492E+01, .141E+01,
    4629             :       .392E+01, .273E+01, .403E+01, .380E+01, .791E+01, .627E+01, .764E+01, .497E+01, .255E+01, .791E+01, .774E+01, .528E+01, .641E+01, .133E+01, .646E+00, .108E+01, .340E+01, .497E+01,
    4630             :       .651E+01, .318E+01, .116E+01, .150E+01, .650E+01, .248E+01, .257E+01, .511E+01, .343E+01, .385E+01, .123E+01, .435E+01, .586E+00, .521E+01, .371E+01, .499E+01, .252E+01, .772E+01,
    4631             :       .652E+01, .772E+01, .789E+01, .509E+01, .602E+01, .781E+01, .231E+01, .999E+00, .645E+01, .408E+01, .675E+01, .408E+01, .518E+01, .631E+01, .110E+01, .100E+01, .240E+01, .532E+00,
    4632             :       .631E+01, .498E+01, .740E+01, .891E+00, .271E+01, .366E+01, .359E+01, .491E+01, .662E+01, .796E+01, .752E+01, .803E+01, .350E+01, .489E+01, .937E+00, .752E+01, .495E+01, .843E+01,
    4633             :       .292E+01, .927E+00, .221E+01, .484E+00, .150E+01, .208E+01, .798E+01, .611E+01, .480E+01, .664E+01, .611E+01, .489E+01, .346E+01, .881E+01, .438E+01, .671E+01, .632E+00, .313E+01,
    4634             :       .540E+01, .470E+01, .758E+00, .480E+01, .817E+01, .404E+01, .732E+01, .469E+01, .909E+01, .732E+01, .328E+01, .334E+01, .201E+01, .442E+00, .201E+01, .468E+01, .863E+00, .185E+01,
    4635             :       .591E+01, .356E+01, .677E+01, .326E+01, .454E+01, .590E+01, .564E+00, .929E+01, .556E+01, .378E+01, .815E+01, .437E+01, .399E+01, .419E+01, .390E+00, .449E+01, .682E+01, .829E+01,
    4636             :       .253E+01, .448E+01, .181E+01, .711E+01, .405E+00, .711E+01, .940E+01, .470E+01, .306E+01, .563E+01, .681E+01, .452E+01, .362E+00, .570E+01, .305E+01, .162E+01, .570E+01, .806E+00,
    4637             :       .832E+01, .832E+01, .637E+01, .944E+01, .307E+01, .428E+01, .171E+00, .159E+01, .832E+01, .683E+01, .427E+01, .373E+00, .691E+01, .691E+01, .164E+00, .284E+01, .700E+01, .942E+01,
    4638             :       .283E+01, .549E+01, .139E+01, .549E+01, .504E+01, .363E+01, .812E+01, .811E+01, .682E+01, .504E+01, .587E+01, .756E+00, .723E+01, .138E+01, .406E+01, .406E+01, .344E+00, .128E+02,
    4639             :       .670E+01, .139E+02, .670E+01, .118E+02, .148E+02, .936E+01, .107E+02, .157E+02, .262E+01, .964E+01, .679E+01, .848E+01, .166E+02, .422E+01, .861E+01, .261E+01, .527E+01, .527E+01,
    4640             :       .762E+01, .116E+01, .173E+02, .791E+01, .791E+01, .668E+01, .719E+01, .115E+01, .673E+01, .579E+01, .179E+02, .384E+01, .926E+01, .812E+01, .384E+01, .559E+01, .711E+00, .497E+01,
    4641             :       .649E+01, .541E+01, .649E+01, .319E+00, .484E+01, .419E+01, .184E+02, .612E+01, .240E+01, .664E+01, .347E+01, .239E+01, .280E+01, .506E+01, .506E+01, .937E+00, .188E+02, .215E+01,
    4642             :       .770E+01, .770E+01, .933E+00, .152E+01, .915E+01, .652E+01, .852E+00, .551E+01, .362E+01, .362E+01, .833E+00, .905E+01, .145E+01, .190E+02, .627E+01, .627E+01, .200E+01, .298E+00,
    4643             :       .217E+01, .739E+01, .672E+00, .251E+01, .217E+01, .619E+01, .299E+01, .484E+01, .484E+01, .716E+00, .192E+02, .580E+01, .621E+01, .902E+01, .714E+00, .749E+01, .749E+01, .345E+01,
    4644             :       .640E+01, .340E+01, .389E+01, .340E+01, .606E+01, .606E+01, .100E+02, .430E+01, .192E+02, .194E+01, .194E+01, .695E+01, .279E+00, .469E+01, .462E+01, .462E+01, .502E+00, .889E+01,
    4645             :       .501E+00, .638E+00, .727E+01, .727E+01, .683E+01, .506E+01, .150E+01, .149E+01, .759E+01, .192E+02, .318E+01, .318E+01, .774E+01, .584E+01, .584E+01, .540E+01, .623E+01, .110E+02,
    4646             :       .172E+01, .172E+01, .669E+01, .571E+01, .440E+01, .440E+01, .877E+01, .302E+00, .263E+00, .302E+00, .191E+02, .706E+01, .706E+01, .167E+01, .857E+01, .163E+01, .600E+01, .295E+01,
    4647             :       .295E+01, .247E+02, .236E+02, .257E+02, .225E+02, .266E+02, .563E+01, .563E+01, .752E+01, .213E+02, .149E+01, .149E+01, .273E+02, .200E+02, .120E+02, .627E+01, .189E+02, .780E+01,
    4648             :       .188E+02, .944E+01, .418E+01, .126E+00, .418E+01, .126E+00, .866E+01, .280E+02, .188E+01, .684E+01, .684E+01, .669E+01, .248E+00, .176E+02, .651E+01, .285E+02, .273E+01, .273E+01,
    4649             :       .179E+01, .165E+02, .700E+01, .541E+01, .541E+01, .806E+01, .806E+01, .127E+01, .127E+01, .103E+02, .187E+02, .288E+02, .673E+01, .153E+02, .130E+02, .211E+01, .826E+01, .396E+01,
    4650             :       .396E+01, .856E+01, .143E+02, .663E+01, .663E+01, .291E+02, .692E+01, .250E+01, .250E+01, .132E+02, .236E+00, .113E+02, .196E+01, .519E+01, .519E+01, .802E+01, .185E+02, .105E+01,
    4651             :       .123E+02, .105E+01, .784E+01, .784E+01, .236E+01, .719E+01, .292E+02, .710E+01, .141E+02, .114E+02, .374E+01, .374E+01, .848E+01, .641E+01, .641E+01, .122E+02, .734E+01, .106E+02,
    4652             :       .904E+01, .228E+01, .228E+01, .292E+02, .725E+01, .977E+01, .262E+01, .496E+01, .496E+01, .182E+02, .210E+01, .836E+00, .836E+00, .225E+00, .763E+01, .763E+01, .903E+01, .151E+02,
    4653             :       .132E+02, .351E+01, .832E+01, .351E+01, .739E+01, .291E+02, .841E+01, .619E+01, .619E+01, .765E+01, .289E+01, .205E+01, .700E+01, .205E+01, .826E+01, .773E+01, .638E+01, .474E+01,
    4654             :       .474E+01, .577E+01, .180E+02, .628E+00, .628E+00, .518E+01, .751E+01, .988E+01, .741E+01, .741E+01, .459E+01, .142E+02, .401E+01, .222E+01, .343E+01, .284E+01, .223E+01, .159E+01,
    4655             :       .883E+00, .883E+00, .159E+01, .223E+01, .215E+00, .283E+01, .342E+01, .289E+02, .399E+01, .456E+01, .513E+01, .329E+01, .329E+01, .771E+01, .162E+02, .569E+01, .357E+02, .346E+02,
    4656             :       .625E+01, .318E+01, .334E+02, .366E+02, .681E+01, .597E+01, .597E+01, .736E+01, .836E+01, .322E+02, .374E+02, .791E+01, .183E+01, .183E+01, .762E+01, .846E+01, .309E+02, .381E+02,
    4657             :       .899E+01, .152E+02, .452E+01, .452E+01, .431E+00, .431E+00, .952E+01, .295E+02, .178E+02, .719E+01, .719E+01, .286E+02, .348E+01, .386E+02, .100E+02, .306E+01, .306E+01, .831E+01,
    4658             :       .282E+02, .172E+02, .105E+02, .231E+01, .771E+01, .108E+02, .852E+01, .206E+00, .575E+01, .575E+01, .110E+02, .161E+01, .161E+01, .831E+01, .268E+02, .163E+02, .115E+02, .380E+01,
    4659             :       .429E+01, .429E+01, .252E+00, .252E+00, .283E+02, .255E+02, .697E+01, .697E+01, .811E+01, .119E+02, .779E+01, .176E+02, .283E+01, .283E+01, .182E+02, .124E+02, .243E+02, .552E+01,
    4660             :       .552E+01, .173E+02, .414E+01, .139E+01, .139E+01, .237E+01, .128E+02, .199E+00, .117E+02, .828E+01, .786E+01, .230E+02, .407E+01, .407E+01, .101E+00, .101E+00, .894E+01, .280E+02,
    4661             :       .131E+02, .675E+01, .675E+01, .449E+01, .250E+01, .250E+01, .174E+02, .219E+02, .881E+01, .261E+01, .261E+01, .183E+02, .193E+02, .135E+02, .530E+01, .530E+01, .792E+01, .117E+01,
    4662             :       .117E+01, .208E+02, .488E+01, .826E+01, .138E+02, .855E+01, .384E+01, .384E+01, .192E+00, .240E+01, .126E+02, .653E+01, .653E+01, .277E+02, .197E+02, .261E+01, .261E+01, .193E+02,
    4663             :       .141E+02, .238E+01, .238E+01, .203E+02, .797E+01, .528E+01, .172E+02, .508E+01, .508E+01, .188E+02, .961E+01, .775E+01, .775E+01, .958E+00, .958E+00, .144E+02, .824E+01, .362E+01,
    4664             :       .362E+01, .179E+02, .572E+01, .204E+02, .630E+01, .630E+01, .277E+01, .277E+01, .912E+01, .801E+01, .186E+00, .273E+02, .147E+02, .216E+01, .216E+01, .170E+02, .213E+02, .136E+02,
    4665             :       .239E+01, .485E+01, .485E+01, .619E+01, .171E+02, .753E+01, .753E+01, .753E+00, .753E+00, .162E+02, .902E+01, .149E+02, .214E+02, .339E+01, .339E+01, .154E+02, .805E+01, .823E+01,
    4666             :       .608E+01, .608E+01, .296E+01, .669E+01, .295E+01, .103E+02, .146E+02, .194E+01, .194E+01, .224E+02, .270E+02, .151E+02, .180E+00, .139E+02, .463E+01, .463E+01, .559E+00, .559E+00,
    4667             :       .731E+01, .731E+01, .146E+02, .723E+01, .170E+02, .132E+02, .224E+02, .808E+01, .235E+01, .317E+01, .317E+01, .126E+02, .153E+02, .822E+01, .586E+01, .586E+01, .315E+01, .119E+02,
    4668             :       .314E+01, .781E+01, .113E+02, .234E+02, .172E+01, .172E+01, .107E+02, .954E+01, .101E+02, .267E+02, .440E+01, .440E+01, .945E+01, .175E+00, .155E+02, .377E+00, .377E+00, .708E+01,
    4669             :       .708E+01, .333E+02, .885E+01, .811E+01, .234E+02, .826E+01, .843E+01, .768E+01, .111E+02, .709E+01, .106E+02, .100E+02, .942E+01, .112E+02, .652E+01, .883E+01, .118E+02, .825E+01,
    4670             :       .767E+01, .594E+01, .124E+02, .709E+01, .536E+01, .651E+01, .594E+01, .478E+01, .536E+01, .130E+02, .478E+01, .420E+01, .420E+01, .360E+01, .360E+01, .299E+01, .299E+01, .235E+01,
    4671             :       .235E+01, .167E+01, .167E+01, .908E+00, .908E+00, .157E+02, .136E+02, .142E+02, .169E+02, .294E+01, .294E+01, .148E+02, .335E+01, .154E+02, .563E+01, .563E+01, .822E+01, .334E+01,
    4672             :       .160E+02, .320E+02, .156E+02, .244E+02, .910E+01, .166E+02, .150E+01, .150E+01, .171E+02, .229E+01, .813E+01, .417E+01, .417E+01, .177E+02, .244E+02, .216E+00, .216E+00, .686E+01,
    4673             :       .686E+01, .307E+02, .182E+02, .170E+00, .981E+01, .158E+02, .188E+02, .272E+01, .272E+01, .355E+01, .167E+02, .541E+01, .541E+01, .168E+02, .193E+02, .353E+01, .822E+01, .255E+02,
    4674             :       .295E+02, .129E+01, .129E+01, .101E+02, .106E+02, .119E+02, .198E+02, .815E+01, .255E+02, .395E+01, .395E+01, .839E-01, .839E-01, .159E+02, .664E+01, .664E+01, .202E+02, .283E+02,
    4675             :       .114E+02, .166E+00, .249E+01, .249E+01, .375E+01, .207E+02, .219E+01, .518E+01, .518E+01, .265E+02, .372E+01, .822E+01, .816E+01, .108E+01, .108E+01, .167E+02, .272E+02, .211E+02,
    4676             :       .178E+02, .160E+02, .122E+02, .265E+02, .372E+01, .372E+01, .641E+01, .641E+01, .215E+02, .262E+02, .394E+01, .128E+02, .227E+01, .227E+01, .131E+02, .218E+02, .162E+00, .161E+02,
    4677             :       .496E+01, .496E+01, .275E+02, .107E+02, .818E+01, .390E+01, .822E+01, .879E+00, .879E+00, .253E+02, .275E+02, .167E+02, .189E+02, .222E+02, .140E+02, .350E+01, .350E+01, .619E+01,
    4678             :       .619E+01, .243E+02, .414E+01, .208E+01, .162E+02, .350E+01, .350E+01, .225E+02, .205E+01, .205E+01, .819E+01, .285E+02, .473E+01, .473E+01, .150E+02, .742E+01, .742E+01, .235E+02,
    4679             :       .285E+02, .407E+01, .823E+01, .686E+00, .686E+00, .228E+02, .137E+02, .327E+01, .327E+01, .227E+02, .167E+02, .200E+02, .162E+02, .433E+01, .596E+01, .596E+01, .160E+02, .359E+01,
    4680             :       .359E+01, .231E+02, .184E+01, .184E+01, .219E+02, .114E+02, .820E+01, .295E+02, .451E+01, .451E+01, .295E+02, .719E+01, .719E+01, .211E+02, .503E+00, .503E+00, .823E+01, .423E+01,
    4681             :       .170E+02, .163E+02, .233E+02, .453E+01, .305E+01, .305E+01, .204E+02, .196E+01, .574E+01, .574E+01, .210E+02, .166E+02, .373E+01, .373E+01, .196E+02, .821E+01, .162E+01, .162E+01,
    4682             :       .305E+02, .147E+02, .235E+02, .305E+02, .180E+02, .189E+02, .428E+01, .428E+01, .697E+01, .697E+01, .163E+02, .336E+00, .336E+00, .183E+02, .824E+01, .472E+01, .438E+01, .176E+02,
    4683             :       .283E+01, .283E+01, .169E+02, .237E+02, .551E+01, .551E+01, .191E+02, .121E+02, .163E+02, .822E+01, .389E+01, .389E+01, .221E+02, .166E+02, .156E+02, .315E+02, .141E+01, .141E+01,
    4684             :       .316E+02, .150E+02, .200E+02, .207E+02, .194E+02, .213E+02, .188E+02, .220E+02, .164E+02, .491E+01, .181E+02, .144E+02, .226E+02, .175E+02, .406E+01, .406E+01, .169E+02, .232E+02,
    4685             :       .675E+01, .675E+01, .138E+02, .162E+02, .156E+02, .239E+02, .132E+02, .150E+02, .189E+00, .189E+00, .144E+02, .239E+02, .824E+01, .126E+02, .138E+02, .245E+02, .132E+02, .120E+02,
    4686             :       .126E+02, .114E+02, .120E+02, .108E+02, .114E+02, .251E+02, .108E+02, .102E+02, .102E+02, .961E+01, .182E+01, .157E+02, .201E+02, .961E+01, .903E+01, .451E+01, .903E+01, .845E+01,
    4687             :       .845E+01, .788E+01, .788E+01, .730E+01, .730E+01, .672E+01, .672E+01, .614E+01, .614E+01, .556E+01, .556E+01, .257E+02, .497E+01, .497E+01, .436E+01, .436E+01, .261E+01, .261E+01,
    4688             :       .375E+01, .375E+01, .311E+01, .311E+01, .244E+01, .244E+01, .172E+01, .172E+01, .924E+00, .924E+00, .529E+01, .529E+01, .262E+02, .823E+01, .407E+01, .407E+01, .511E+01, .326E+02,
    4689             :       .268E+02, .326E+02, .232E+02, .164E+02, .120E+01, .120E+01, .166E+02, .273E+02, .383E+01, .383E+01, .652E+01, .652E+01, .212E+02, .719E-01, .719E-01, .824E+01, .279E+02, .531E+01,
    4690             :       .239E+01, .239E+01, .128E+02, .462E+01, .824E+01, .506E+01, .506E+01, .336E+02, .164E+02, .426E+01, .426E+01, .336E+02, .167E+02, .100E+01, .100E+01, .222E+02, .243E+02, .166E+02,
    4691             :       .361E+01, .361E+01, .630E+01, .630E+01, .551E+01, .825E+01, .168E+01, .217E+01, .217E+01, .824E+01, .165E+02, .484E+01, .484E+01, .346E+02, .233E+02, .346E+02, .470E+01, .445E+01,
    4692             :       .445E+01, .573E+01, .812E+00, .812E+00, .253E+02, .338E+01, .338E+01, .607E+01, .607E+01, .825E+01, .178E+02, .136E+02, .596E+01, .825E+01, .165E+02, .243E+02, .195E+01, .195E+01,
    4693             :       .261E-04, .356E+02, .461E+01, .461E+01, .356E+02, .465E+01, .465E+01, .629E+00, .629E+00, .621E+01, .477E+01, .264E+02, .316E+01, .316E+01, .584E+01, .584E+01, .826E+01, .254E+02,
    4694             :       .825E+01, .647E+01, .155E+01, .174E+01, .174E+01, .366E+02, .366E+02, .137E-03, .708E+01, .708E+01, .439E+01, .439E+01, .188E+02, .485E+01, .485E+01, .457E+00, .457E+00, .284E+02,
    4695             :       .675E+01, .274E+02, .145E+02, .294E+01, .294E+01, .562E+01, .562E+01, .826E+01, .264E+02, .480E+01, .276E+02, .826E+01, .706E+01, .376E+02, .450E+01, .450E+01, .376E+02, .153E+01,
    4696             :       .153E+01, .269E+02, .438E-03, .685E+01, .685E+01, .416E+01, .416E+01, .505E+01, .504E+01, .740E+01, .261E+02, .151E+00, .151E+00, .275E+02, .199E+02, .285E+02, .272E+01, .272E+01,
    4697             :       .827E+01, .254E+02, .539E+01, .539E+01, .776E+01, .826E+01, .247E+02, .386E+02, .386E+02, .481E+01, .457E+01, .457E+01, .133E+01, .133E+01, .816E+01, .240E+02, .663E+01, .663E+01,
    4698             :       .109E-02, .141E+01, .394E+01, .394E+01, .524E+01, .524E+01, .233E+02, .285E+02, .839E-01, .839E-01, .859E+01, .226E+02, .280E+02, .273E+02, .266E+02, .295E+02, .259E+02, .827E+01,
    4699             :       .220E+02, .250E+01, .250E+01, .253E+02, .517E+01, .517E+01, .246E+02, .827E+01, .213E+02, .239E+02, .906E+01, .232E+02, .207E+02, .396E+02, .211E+02, .396E+02, .226E+02, .219E+02,
    4700             :       .200E+02, .213E+02, .469E+01, .469E+01, .113E+01, .113E+01, .194E+02, .206E+02};
    4701             : 
    4702             :     static const double el[1376]={
    4703             :       810.942, 1561.533,   69.044, 1561.387,  280.556, 1097.290,  11.090, 1144.555,  472.557,  305.037,  752.528,   504.033,  215.032,  714.508,  792.025,  768.886,  443.075,  413.633,
    4704             :       752.976, 1096.834,    6.875,  853.271,  194.636,  256.787,  1144.558,  330.399, 1505.474,  193.332,  173.518,  80.574,  214.244,  728.016,  154.802, 1505.252,  441.717,  536.156,
    4705             :       236.251, 1192.647,   15.527,   57.289,  137.186,  713.570,  1050.162,  356.937,  832.094,  234.062,  259.354, 896.805,  120.575,  688.252,  676.528, 1049.822,    3.468,  384.658,
    4706             :       235.656,  384.686,  283.456,  472.836,  791.922,  105.172,  649.797, 1192.680,  174.847,  569.519, 1450.395,  413.667,  411.952, 1450.320,  212.487,  308.757,  612.452, 1241.944,
    4707             :       675.703,   90.784,  443.771,   93.067,   21.041,  873.380,  1004.255,  941.351,  576.317,  475.074,   46.762, 541.394,  507.580, 1003.908,  639.678,  335.060,  604.028,   77.515,
    4708             :       356.981,  192.067,  383.366,  257.439, 1396.628,  832.026,  1241.872,  503.747,  156.202, 1396.492, 1292.348, 639.029,  915.887,   65.372,  362.469,  986.913,   27.735,  639.687,
    4709             :       959.466,  106.735,   37.364,    1.116,  959.196,    3.449,  172.809,  603.957,    6.847,  355.862,   54.261,   11.409,  390.887,   17.132,  330.415,  676.503, 1428.674, 1343.873,
    4710             :       959.519, 1343.766, 1343.861,  603.551,   23.913, 1292.231,  138.799, 1033.597,  873.284,  280.282,   31.851,   35.512,  535.908,  915.894,   44.389,     .039,  154.618,  420.418,
    4711             :       915.685,  714.584,   40.940,   29.096, 1372.651,  329.544,  121.582,  569.459, 1004.282,   51.178, 1292.327, 1396.586,  304.983,  569.069,   35.460, 1292.245,  753.735,   62.461,
    4712             :       1317.838, 1081.410,  137.497,  451.068,    1.162, 122.537,  1343.753,  873.437,   44.377,  915.693,  873.276, 794.163,  304.315,   74.884,  304.387, 1050.179,   22.059, 1264.238,
    4713             :       569.117,  536.184,   27.680,  835.775, 1450.424,  137.510,  1241.891,  535.886,   88.345, 1241.828,  280.782,1211.855,  121.552,  482.740,    3.417,  878.577, 1130.159,  107.513,
    4714             :       832.092, 1160.588, 1097.315,  280.277,  922.576,  831.969,  21.055,  102.942,   54.335, 1110.539, 1396.435,   967.777,  1061.805, 1014.186,   16.153,  504.027,  959.249,1505.480,
    4715             :       6.805,  503.802,  106.785, 1192.662,  515.542,   1192.614,  118.671,  329.558,  257.808,  603.476, 1145.597,  154.620,  15.487,  791.959,  257.432,   93.624,  791.866,  1180.050,
    4716             :       1617.565, 1617.547,   65.389,  135.432,   11.423, 472.986,  11.479,   93.101, 1450.273, 1195.029,  472.818,   549.377,  1144.641, 1144.605,   11.081,  235.957, 1003.952, 153.325,
    4717             :       235.682,  753.035,   80.966,  752.966,  355.896,   17.069,  1561.552, 1561.538, 1245.719,  172.816,  639.085,1231.091,  77.546,   80.603,  443.160,  443.036,  584.354,   163.631,
    4718             :       1097.627,  183.422, 1097.600,  144.991,  204.358, 172.251,  127.508,  226.434,  215.227,  111.088, 1297.472, 1505.263,  249.648,   23.941,   95.937,  215.030,  715.221,  715.169,
    4719             :       81.863,   69.435,  273.894, 1506.644, 1506.634,    68.972,  1049.799,   69.192, 1350.496,   57.273,  299.369, 414.445,  192.214,   90.808,  414.355,  192.101, 1283.089,   46.671,
    4720             :       1051.819,  383.307, 1051.799,  620.277,   31.836,  37.374,  325.870,  675.747,  195.713, 1404.696,   29.088,  195.575,  22.018,  678.514,  678.476,   59.027,  353.495,    16.169,
    4721             :       1452.941, 1452.933,   58.872,   11.445,  213.216,1460.080,  7.949,   40.950,  386.942,  386.877,    7.751,    105.180,  11.051,  382.142, 1007.216, 1007.201,   15.518,   657.355,
    4722             :       177.314, 1096.789, 1336.151,   21.051,  177.219,  212.478,  27.750,  643.014,  642.987,   49.838,  411.909,   411.892,  51.179,  235.363,   49.745, 1400.341, 1400.336,    35.514,
    4723             :       713.563,  360.547,   44.344,  360.501,  963.719,  963.708,  120.565,   54.340,  442.797,  160.127,  160.064,   62.418,  695.493,   65.400,  608.621,  608.601,   41.764,  258.559,
    4724             :       41.712, 1390.386, 1348.946, 1348.942,  234.052,    77.525,  5.597,    5.530, 1144.922,  474.705,    335.360,  335.328,  74.863,  921.326,  921.318,   90.814,   441.656,  137.165,
    4725             :       144.150,  144.108,  752.538,  105.168,  575.433,  575.419,  282.812,   34.901,  734.700,   34.875,  507.736, 1298.555,  1298.552,    7.920,   88.410,    7.717, 120.587,  311.280,
    4726             :       311.258,  595.432,  559.319,  632.774,  524.338,  671.138,  880.138,  880.132,  256.726,  490.396,  129.180,  129.154,  710.621,  457.700,  154.783,  137.170,  541.791, 1194.200,
    4727             :       426.156,  102.955,  543.350,   29.246,  543.341,   29.235,  308.228,  751.220,   11.476, 1249.467, 1249.465,  472.503,  774.982,  395.673,  154.818,  792.932,  288.405,  288.391,
    4728             :       11.067,  366.458,  792.675,  840.153,   840.149, 1683.018,  1683.017,  115.517,  115.501,  118.693, 576.976,  835.656,  173.532,  338.321,  173.518,   16.165,  280.505,  512.472,
    4729             :       512.465,  334.615,  311.469, 1201.383, 1201.381,  879.589,  193.311,  266.636,  266.626,  285.710,  816.346,  135.421,  15.477,  801.173,  801.170, 1244.723,   613.095,  102.859,
    4730             :       261.154,  102.850, 1627.035, 1627.035,   22.087,  504.537,  924.532,  214.257,  193.373,  237.807,  482.698,  482.693,  362.078, 1154.501, 1154.500,  153.238,  833.878,  215.575,
    4731             :       305.493,  246.071,  246.065,  970.485,  236.270,  194.565,  29.142,  763.496,  763.494,  650.353,    21.043,   91.405,  91.400,  858.800, 1572.155, 1572.154,   174.781,  214.246,
    4732             :       172.240,  454.027,  156.226,  454.024,  259.352, 1017.550,  390.624, 1108.823, 1108.822,  138.801,   37.330,  226.609,  122.509,  226.605, 1296.295,  537.661,  107.447,  726.822,
    4733             :       726.820,   93.615,  688.658,   81.154,   81.151,   80.911,  283.503,  331.494, 1518.477, 1518.477,   69.430,  192.228,  59.070,   27.760,   49.828,   41.799,    34.881,   29.171,
    4734             :       24.666,   24.662,   29.160,   34.856,   902.249,   41.748,  49.736, 1065.729,   58.919,   69.194,    80.561,  426.560,  426.558,  876.352,  236.237,   93.117, 1241.892, 1189.392,
    4735             :       106.760,   46.749, 1138.109, 1295.406,  121.590, 1064.248,  1064.247,  137.503,  420.160, 1087.949,1350.028,  154.598,  208.251,  208.249,  308.725,  172.773, 1038.919, 1405.755,
    4736             :       192.026,  213.200,  691.351,  691.350,   72.005,   72.004,  212.556,  991.025,  728.016, 1466.002, 1466.002, 1114.825,  57.300, 1462.585,  234.060,  400.296,   400.295,  571.982,
    4737             :       944.275,  259.344,  256.738,   35.423,  335.018,  358.614,  1349.018,  946.799, 1020.775, 1020.774, 280.486,  191.095,  191.094,  450.892,  898.679,  235.356,  305.405,   68.982,
    4738             :       657.082,  657.082,   63.958,   63.958, 1165.045,  854.243,  1414.629, 1414.628,  919.900,  331.493, 362.385,  768.436,  375.134,  375.134,  283.467,  358.549,  810.979,  978.504,
    4739             :       978.504,  258.597,   81.893,  175.142,  175.141,   44.328,  386.772,  992.456,  386.854,  482.624,  390.927,  768.895,  623.916,  623.916,   57.113,   57.112,  607.302, 1216.394,
    4740             :       416.161, 1364.358, 1364.358,   95.933,   21.233,   21.232,  809.925,  728.000, 1402.897,  351.075,  351.075,  282.824,  308.704,  446.615,  937.336,  937.336,  420.445,  160.191,
    4741             :       160.190,  688.302,  111.100,  515.360,  478.136,  964.527,  591.853,  591.853, 1039.124,   54.268,  416.120, 1315.189,  1315.189, 1268.677,  649.711,   24.591,  24.587,  308.139,
    4742             :       510.721,  328.218,  328.218,  335.054,  451.041,  127.492,  852.491,  897.270,  897.270,  612.434,  643.828, 1757.373,  1757.373,  146.541,  146.541,  544.472, 549.304,  560.992,
    4743             :       560.991,  576.277,  145.008,  334.541, 1267.222, 1267.222,  29.152,   29.140, 1457.935,  482.717,  1086.906, 1322.004,  579.288,  306.463,  306.463,  541.346,  362.415,  446.613,
    4744             :       65.336,  858.406,  858.406,  163.645,   896.041, 1701.406,  1701.406,  133.893,  133.893,  507.645,1010.340,  615.170,  362.033,  531.232,  531.232,  475.077,  515.574,  584.257,
    4745             :       1220.457, 1220.457,   34.917,  183.400,  34.891,  681.463,  443.743,  285.910,  285.910,  390.886, 1376.481,  652.118,  1135.706,  413.645,  820.744,  820.744, 122.546,  122.546,
    4746             :       1646.642, 1646.642,  478.137,  204.371, 940.682,  384.682,  390.615,  549.413,   77.528,  502.675,  502.675,  356.952,  690.234,  620.221, 1174.694, 1174.694,   41.791,  330.355,
    4747             :       41.738,  226.454,  304.986,  420.466,   266.458,  266.458,  280.745, 1057.341,  257.727, 1431.917,  784.183,  784.183,  235.930, 1185.625,  729.318,  112.200,  112.200, 1592.979,
    4748             :       1592.979, 1485.859,  215.252,  584.337, 420.190,  195.689,  249.645,  177.339,  720.213,  160.100,  280.275,  257.375,  235.671,  304.371,  144.069,  215.064,  329.560,  195.556,
    4749             :       177.247,  129.246,  355.841,  160.038,  115.429,  144.029,  129.221,  102.917,  115.414,  383.313,  102.908,   91.408,  91.403,   81.102,   81.100,   71.998,    71.997,   63.995,
    4750             :       63.995,   57.094,   57.094,   51.393,    51.393,  510.691,  411.873,  441.620,  986.420,  475.219,  475.219,  472.552,  49.875,  504.567, 1130.132, 1130.132,   657.297,   49.780,
    4751             :       537.663, 1428.658,  769.572,  451.054,  273.941,  571.938,  248.208,  248.208,  607.291,   90.737,  620.347,  748.725,  748.725,  643.819,  450.857,  103.054,  103.054, 1540.517,
    4752             :       1540.517, 1372.643,  681.521, 1236.564, 299.337,  810.895,  720.195,  448.965,  448.965,   59.072,  544.477, 1086.772,  1086.772, 1033.160,  760.140,   58.914, 695.486,  482.748,
    4753             :       1317.823,  230.959,  230.959, 1105.338, 325.828,  760.083,  801.054,  657.344,  482.618,  714.368,  714.368,   95.110,  95.110,  853.291, 1489.157, 1489.157,   843.136, 1264.207,
    4754             :       353.412, 1288.624,  423.812,  423.812,   69.388,  886.386,  105.159, 1044.513, 1044.513,  515.547,   69.139,  734.687,  695.530,  215.011,  215.011, 1081.008, 1211.804,  930.701,
    4755             :       579.295,  896.760,  382.182,  515.374,  681.312,  681.312,  1438.898, 1438.898,  976.083, 1160.620,  80.926,  801.076,  399.761,  399.761,  411.936, 1022.530, 1341.705,  941.304,
    4756             :       1003.356, 1003.356,  549.352, 1154.535, 734.706,   80.552,  775.001,  200.164,  200.164, 1110.561,  549.226, 1129.867,  615.144, 1070.142,  442.770,  649.258,  649.258, 1389.841,
    4757             :       1389.841, 1061.732,   93.591,  120.588, 986.923,   46.818,  46.818, 1118.818,  376.910,  376.910,   774.972,  584.261,  963.400,  963.400,  474.682, 1840.565, 1840.565, 1014.137,
    4758             :       584.174,   93.051,  816.325,  186.418,  186.418, 1168.560,  843.199,  618.405,  618.405,  967.779, 1179.839,  652.123,  1033.621,  107.485, 1341.885, 1341.885, 507.768,   51.374,
    4759             :       51.374, 1219.468,  355.161,  355.161,   922.558, 1204.937,  816.331,  620.273,  924.545,  924.545,  620.219, 1784.609,  1784.609,  878.576,  173.872,  173.872, 858.761,  106.732,
    4760             :       541.828, 1081.298, 1271.341,  122.515,  588.653,  588.653,  835.731,  137.121, 1295.129, 1295.129,  690.231, 1230.827,  57.131,   57.131,  794.123,  858.783,   334.613,  334.613,
    4761             :       657.389,  886.353, 1324.381,  657.262,  576.960,  753.749,  886.792,  886.792, 1729.855, 1729.855, 1130.156,  162.427,  162.427,  714.507,  902.206,  138.782,  121.592,  676.494,
    4762             :       560.102,  560.102,  639.609, 1378.488, 1249.375, 1249.375,  613.165, 1256.351,  603.948,  902.230,   63.988,   63.988,  729.365, 1282.931,  569.509,  695.507,  315.165,  315.165,
    4763             :       695.403,  536.088,  833.938,  876.338,  792.628,  919.826,  752.511,  964.500, 1180.097,  156.189,  713.586,  503.985,  1010.360,  675.657,  850.239,  850.239, 639.024, 1057.302,
    4764             :       1676.301, 1676.301,  472.997,  603.488, 569.051, 1105.325,  443.121,  535.814,  152.082,  152.082,  503.776, 1433.664,  946.760,  414.457,  472.840, 1154.527,  443.005,  386.902,
    4765             :       414.372,  360.556,  386.841,  335.317,  360.512, 1204.907,  335.286,  311.284,  311.263,  288.357,  154.755,  930.644,  650.343,  288.343,  266.634,  137.527,  266.625,  246.015,
    4766             :       246.009,  226.599,  226.596,  208.287,  208.285,  191.077,  191.075,  175.069,  175.068,  160.262,  160.262, 1256.361,  146.457,  146.457,  133.954,  133.954,  532.652,  532.652,
    4767             :       122.451,  122.451,  112.249,  112.249,  103.048,  103.048,  95.047,   95.047,   88.247,   88.247,  1204.922, 1204.922,  1308.890,  946.771,   71.946,   71.945, 174.740,  734.728,
    4768             :       1362.591,  734.642,  769.623, 1231.022, 296.818,  296.818,  1336.052, 1417.362,  814.788,  814.788,1623.849, 1623.849,  688.695,  142.938,  142.938,  992.422, 1473.302,  194.634,
    4769             :       506.403,  506.403, 1308.881,  154.532,  992.408, 1161.470,  1161.470,  774.950, 1283.032,   81.105,  81.103,  774.980,  976.073,  279.672,  279.672,  728.022,  810.903, 1390.190,
    4770             :       780.537,  780.537, 1572.497, 1572.497,  215.574, 1039.091,  173.490,  481.255,  481.255, 1039.142, 1336.129, 1119.219,  1119.219,  816.374,  768.427,  816.317, 172.702,   91.466,
    4771             :       91.461,  237.757,  263.726,  263.726,   853.304,  747.387,  747.387, 1522.246, 1522.246, 1086.867, 1022.543, 1362.632,  261.084, 1086.873, 1390.315,  809.910,  457.207,  457.207,
    4772             :       3.431,  858.800, 1078.168, 1078.168,    858.753,  102.830,  102.821,  248.881,  248.881,  285.653,  192.033,  896.722,  715.438,  715.438, 1473.196, 1473.196, 1135.649,  852.475,
    4773             :       1135.701,  311.461,  193.323,  434.361, 434.361,  902.227,  902.188,    6.783, 1932.369, 1932.369, 1038.119, 1038.119,  1070.154,  115.496,  115.481,  235.137, 235.137, 1516.609,
    4774             :       338.307,  941.257, 1417.411,  684.590,  684.590, 1425.247,  1425.247, 1185.535,  896.022,  212.519,1460.102, 1185.628,  366.388,  946.755,   82.528,   82.528,  946.823,  412.614,
    4775             :       412.614, 1404.634,   11.329, 1876.521, 1876.521,  999.370,  999.370,  129.167,  129.141,  395.701, 1350.501,  222.592,  222.592,  940.654, 1118.808,  986.906,  654.843,  654.843,
    4776             :       1236.527, 1297.501, 1378.498, 1378.498, 426.142, 1236.552,  1245.632,  992.384,  992.458,  234.053,  88.184,   88.184,  392.069,  392.069,  457.709, 1194.991, 1821.773, 1821.773,
    4777             :       17.067,  214.256,  961.621,  961.621,   144.044,  144.002,  1145.576,  986.372,  211.148,  211.148, 490.397, 1097.285,  1514.071, 1457.831, 1402.882, 1033.567,1349.026, 1288.522,
    4778             :       1050.215,  626.296,  626.296, 1296.265,1332.850, 1332.850,  1244.700, 1288.576, 1004.263, 1194.231, 524.304, 1144.861,  959.428, 1039.114, 1168.604, 1039.093, 1096.791, 1049.720,
    4779             :       915.808, 1003.851,   95.041,   95.041,  372.623,  372.623,  873.402,  959.183};
    4780             : 
    4781             : 
    4782             :     static const double texpO3[1376] ={
    4783             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76, 0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76, 0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.76,0.76,
    4784             :       0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.76,0.78,0.76,0.76, 0.76,0.76,0.76,0.76,0.76,0.76,0.78,0.79,0.76,0.76,0.76,0.77, 0.76,0.76,0.78,0.76,0.76,0.76,0.79,0.76,0.78,0.76,0.76,0.76,
    4785             :       0.76,0.77,0.76,0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.76, 0.76,0.76,0.76,0.76,0.76,0.77,0.79,0.78,0.79,0.78,0.76,0.76, 0.76,0.80,0.78,0.76,0.76,0.81,0.76,0.77,0.76,0.76,0.77,0.81,
    4786             :       0.76,0.77,0.77,0.76,0.76,0.76,0.78,0.80,0.76,0.79,0.77,0.76, 0.76,0.76,0.79,0.81,0.76,0.76,0.76,0.76,0.76,0.80,0.76,0.76, 0.77,0.76,0.76,0.79,0.77,0.77,0.80,0.76,0.77,0.76,0.78,0.76,
    4787             :       0.76,0.81,0.77,0.76,0.76,0.79,0.77,0.80,0.76,0.77,0.76,0.76, 0.79,0.80,0.77,0.76,0.82,0.77,0.76,0.76,0.77,0.76,0.76,0.77, 0.76,0.76,0.77,0.76,0.76,0.82,0.79,0.77,0.79,0.76,0.76,0.76,
    4788             :       0.80,0.80,0.76,0.76,0.76,0.78,0.76,0.80,0.77,0.76,0.78,0.76, 0.77,0.76,0.76,0.76,0.76,0.77,0.82,0.76,0.76,0.78,0.76,0.82, 0.76,0.77,0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.80,0.83,0.76,
    4789             :       0.76,0.80,0.77,0.76,0.76,0.76,0.77,0.79,0.78,0.81,0.76,0.78, 0.76,0.81,0.78,0.77,0.81,0.76,0.76,0.76,0.77,0.78,0.76,0.79, 0.76,0.77,0.76,0.76,0.79,0.76,0.76,0.76,0.76,0.78,0.83,0.78,
    4790             :       0.78,0.81,0.77,0.81,0.79,0.76,0.76,0.76,0.76,0.78,0.81,0.76, 0.77,0.77,0.79,0.79,0.76,0.78,0.76,0.78,0.76,0.78,0.78,0.78, 0.77,0.78,0.78,0.77,0.76,0.76,0.78,0.77,0.77,0.78,0.81,0.81,
    4791             :       0.77,0.77,0.79,0.76,0.76,0.77,0.83,0.77,0.76,0.77,0.79,0.79, 0.78,0.77,0.79,0.78,0.76,0.77,0.83,0.79,0.83,0.76,0.77,0.77, 0.79,0.81,0.78,0.76,0.76,0.78,0.76,0.81,0.81,0.77,0.79,0.76,
    4792             :       0.76,0.76,0.77,0.76,0.78,0.76,0.76,0.77,0.79,0.79,0.76,0.77, 0.76,0.79,0.82,0.82,0.76,0.76,0.78,0.83,0.76,0.76,0.78,0.78, 0.76,0.80,0.80,0.77,0.79,0.79,0.77,0.78,0.77,0.76,0.76,0.77,
    4793             :       0.81,0.79,0.77,0.79,0.82,0.82,0.78,0.77,0.80,0.77,0.77,0.77, 0.76,0.77,0.80,0.80,0.76,0.79,0.76,0.76,0.76,0.76,0.78,0.77, 0.76,0.76,0.84,0.80,0.79,0.79,0.77,0.82,0.82,0.77,0.80,0.78,
    4794             :       0.77,0.77,0.82,0.77,0.80,0.80,0.79,0.76,0.76,0.76,0.80,0.76, 0.76,0.76,0.77,0.76,0.77,0.78,0.78,0.81,0.80,0.81,0.80,0.82, 0.82,0.82,0.79,0.80,0.77,0.77,0.81,0.80,0.78,0.78,0.80,0.84,
    4795             :       0.79,0.77,0.80,0.76,0.80,0.76,0.79,0.82,0.76,0.76,0.76,0.80, 0.76,0.79,0.78,0.82,0.78,0.78,0.76,0.79,0.82,0.81,0.81,0.76, 0.76,0.77,0.77,0.78,0.81,0.82,0.78,0.79,0.78,0.76,0.79,0.79,
    4796             :       0.79,0.79,0.79,0.76,0.76,0.82,0.78,0.78,0.78,0.79,0.76,0.78, 0.76,0.81,0.81,0.76,0.81,0.77,0.78,0.77,0.76,0.76,0.76,0.80, 0.83,0.78,0.78,0.78,0.79,0.79,0.79,0.83,0.83,0.78,0.82,0.78,
    4797             :       0.79,0.78,0.78,0.83,0.78,0.78,0.77,0.81,0.81,0.81,0.76,0.77, 0.77,0.76,0.76,0.76,0.78,0.78,0.78,0.79,0.78,0.79,0.79,0.83, 0.79,0.83,0.83,0.77,0.77,0.78,0.77,0.78,0.76,0.80,0.77,0.81,
    4798             :       0.81,0.77,0.81,0.77,0.77,0.77,0.79,0.79,0.76,0.76,0.77,0.78, 0.77,0.77,0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76, 0.77,0.83,0.77,0.77,0.77,0.79,0.79,0.82,0.79,0.77,0.76,0.84,
    4799             :       0.77,0.77,0.84,0.76,0.77,0.82,0.82,0.77,0.80,0.83,0.76,0.78, 0.78,0.78,0.79,0.78,0.83,0.76,0.78,0.78,0.80,0.80,0.77,0.77, 0.78,0.83,0.82,0.76,0.76,0.84,0.77,0.76,0.78,0.79,0.79,0.81,
    4800             :       0.83,0.79,0.78,0.77,0.79,0.79,0.76,0.76,0.82,0.82,0.79,0.77, 0.77,0.80,0.82,0.79,0.79,0.77,0.80,0.80,0.76,0.76,0.84,0.82, 0.76,0.76,0.83,0.79,0.79,0.82,0.79,0.79,0.79,0.79,0.82,0.82,
    4801             :       0.82,0.79,0.77,0.77,0.77,0.77,0.79,0.76,0.79,0.80,0.79,0.82, 0.80,0.80,0.76,0.76,0.81,0.76,0.79,0.76,0.76,0.77,0.77,0.76, 0.82,0.81,0.76,0.78,0.78,0.79,0.79,0.80,0.82,0.82,0.80,0.77,
    4802             :       0.77,0.81,0.77,0.80,0.80,0.83,0.80,0.80,0.76,0.77,0.80,0.76, 0.76,0.76,0.81,0.76,0.76,0.79,0.80,0.78,0.78,0.79,0.80,0.78, 0.82,0.81,0.81,0.81,0.81,0.76,0.76,0.77,0.77,0.80,0.81,0.79,
    4803             :       0.79,0.80,0.78,0.79,0.83,0.83,0.76,0.76,0.76,0.80,0.76,0.76, 0.81,0.78,0.78,0.80,0.79,0.80,0.77,0.81,0.81,0.78,0.83,0.76, 0.76,0.77,0.77,0.80,0.83,0.81,0.79,0.79,0.79,0.80,0.80,0.81,
    4804             :       0.83,0.83,0.76,0.78,0.76,0.81,0.79,0.78,0.78,0.80,0.76,0.81, 0.76,0.79,0.81,0.81,0.77,0.77,0.76,0.76,0.80,0.78,0.83,0.83, 0.80,0.81,0.77,0.79,0.79,0.79,0.81,0.81,0.83,0.83,0.77,0.79,
    4805             :       0.77,0.78,0.79,0.80,0.78,0.78,0.78,0.83,0.78,0.76,0.81,0.81, 0.78,0.76,0.82,0.77,0.77,0.76,0.76,0.76,0.78,0.81,0.80,0.78, 0.79,0.78,0.82,0.77,0.78,0.78,0.78,0.78,0.77,0.78,0.79,0.78,
    4806             :       0.78,0.77,0.79,0.77,0.77,0.77,0.77,0.77,0.77,0.79,0.77,0.77, 0.77,0.77,0.77,0.77,0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.80, 0.79,0.79,0.79,0.79,0.79,0.80,0.77,0.80,0.82,0.82,0.81,0.77,
    4807             :       0.80,0.76,0.82,0.80,0.79,0.80,0.78,0.78,0.81,0.77,0.81,0.80, 0.80,0.81,0.80,0.77,0.77,0.76,0.76,0.76,0.81,0.76,0.79,0.82, 0.81,0.79,0.79,0.77,0.81,0.82,0.82,0.83,0.82,0.77,0.82,0.80,
    4808             :       0.76,0.77,0.77,0.84,0.79,0.82,0.82,0.81,0.80,0.80,0.80,0.76, 0.76,0.82,0.76,0.76,0.82,0.76,0.79,0.76,0.79,0.79,0.77,0.82, 0.77,0.82,0.82,0.81,0.77,0.82,0.82,0.77,0.77,0.76,0.84,0.83,
    4809             :       0.81,0.83,0.79,0.81,0.80,0.80,0.76,0.76,0.83,0.84,0.77,0.82, 0.78,0.78,0.80,0.83,0.76,0.83,0.76,0.76,0.81,0.84,0.82,0.77, 0.82,0.77,0.77,0.83,0.81,0.76,0.81,0.83,0.80,0.80,0.80,0.76,
    4810             :       0.76,0.83,0.77,0.78,0.83,0.76,0.76,0.84,0.78,0.78,0.82,0.81, 0.76,0.76,0.80,0.76,0.76,0.83,0.81,0.77,0.82,0.77,0.77,0.84, 0.82,0.79,0.79,0.83,0.76,0.81,0.83,0.77,0.76,0.76,0.80,0.76,
    4811             :       0.76,0.76,0.78,0.78,0.82,0.76,0.76,0.81,0.76,0.76,0.81,0.76, 0.76,0.82,0.77,0.77,0.76,0.77,0.81,0.84,0.76,0.77,0.79,0.79, 0.82,0.78,0.76,0.76,0.82,0.76,0.76,0.76,0.82,0.76,0.78,0.78,
    4812             :       0.82,0.83,0.76,0.82,0.81,0.81,0.76,0.76,0.76,0.76,0.84,0.77, 0.77,0.81,0.76,0.78,0.77,0.81,0.76,0.76,0.81,0.76,0.76,0.76, 0.81,0.76,0.80,0.76,0.77,0.77,0.82,0.76,0.80,0.82,0.78,0.78,
    4813             :       0.82,0.80,0.82,0.82,0.82,0.82,0.81,0.83,0.76,0.78,0.81,0.80, 0.83,0.81,0.76,0.76,0.81,0.83,0.76,0.76,0.79,0.80,0.80,0.83, 0.79,0.80,0.77,0.77,0.80,0.76,0.76,0.79,0.79,0.84,0.79,0.79,
    4814             :       0.79,0.79,0.79,0.79,0.79,0.84,0.79,0.78,0.78,0.78,0.78,0.83, 0.78,0.78,0.78,0.78,0.78,0.78,0.78,0.78,0.78,0.78,0.78,0.77, 0.77,0.77,0.77,0.77,0.77,0.76,0.77,0.77,0.77,0.77,0.79,0.79,
    4815             :       0.77,0.77,0.77,0.77,0.77,0.77,0.76,0.76,0.76,0.76,0.76,0.76, 0.76,0.76,0.77,0.77,0.78,0.82,0.76,0.82,0.82,0.76,0.78,0.78, 0.76,0.76,0.76,0.76,0.76,0.76,0.82,0.76,0.76,0.76,0.76,0.78,
    4816             :       0.79,0.79,0.76,0.78,0.76,0.76,0.76,0.82,0.76,0.77,0.77,0.82, 0.83,0.77,0.77,0.82,0.82,0.76,0.76,0.76,0.76,0.76,0.78,0.76, 0.78,0.79,0.79,0.76,0.76,0.76,0.76,0.83,0.82,0.83,0.78,0.77,
    4817             :       0.77,0.78,0.77,0.77,0.83,0.76,0.76,0.76,0.76,0.76,0.83,0.76, 0.79,0.76,0.76,0.82,0.78,0.78,0.76,0.83,0.76,0.76,0.83,0.77, 0.77,0.77,0.77,0.79,0.78,0.83,0.76,0.76,0.76,0.76,0.76,0.83,
    4818             :       0.76,0.79,0.78,0.76,0.76,0.83,0.83,0.76,0.76,0.76,0.76,0.76, 0.84,0.77,0.77,0.77,0.77,0.76,0.79,0.83,0.76,0.76,0.76,0.76, 0.76,0.76,0.83,0.78,0.76,0.76,0.79,0.83,0.76,0.76,0.83,0.76,
    4819             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.77,0.79,0.76,0.77, 0.77,0.83,0.84,0.83,0.76,0.76,0.76,0.76,0.76,0.76,0.80,0.76, 0.84,0.84,0.84,0.78,0.76,0.76,0.78,0.78,0.80,0.84,0.76,0.76,
    4820             :       0.76,0.78,0.76,0.76,0.77,0.77,0.83,0.83,0.77,0.77,0.80,0.83, 0.76,0.76,0.76,0.84,0.76,0.76,0.83,0.77,0.77,0.76,0.79,0.79, 0.84,0.76,0.83,0.84,0.80,0.83,0.82,0.84,0.76,0.84,0.83,0.83,
    4821             :       0.82,0.83,0.77,0.77,0.76,0.76,0.82,0.82};
    4822             : 
    4823             :     static const double brdO3air[1376] ={
    4824             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,
    4825             :       2.3000,2.3000,2.4120,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.3000,2.5540,2.4623,2.3000,2.3000,2.3000,2.3000,2.3000, 2.2492,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,
    4826             :       2.2492,2.1722,2.3000,2.3000,2.3000,2.2877,2.3000,2.3000,2.3084, 2.3000,2.3000,2.3000,2.1574,2.3000,2.2669,2.3000,2.3000,2.3000, 2.3000,2.3143,2.3000,2.3883,2.5155,2.3000,2.3000,2.3000,2.3000,
    4827             :       2.3000,2.4859,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3439, 2.1870,2.2877,2.1722,2.2314,2.3000,2.3000,2.3000,2.1249,2.3291, 2.3000,2.3000,2.0953,2.3000,2.3735,2.3000,2.3000,2.4771,2.0894,
    4828             :       2.3000,2.3676,2.5126,2.6250,2.3000,2.5895,2.3084,2.1042,2.5570, 2.1870,2.4060,2.5244,2.3000,2.4948,2.2018,2.0835,2.3000,2.3000, 2.3000,2.3000,2.3000,2.1042,2.4682,2.3000,2.3498,2.3000,2.3000,
    4829             :       2.2166,2.4415,2.4386,2.1130,2.3000,2.4386,2.7405,2.3291,2.3000, 2.3000,2.0775,2.4149,2.5392,2.3000,2.2018,2.3439,2.1130,2.3000, 2.3912,2.3000,2.3000,2.2166,2.1130,2.4771,2.3000,2.0716,2.3705,
    4830             :       2.3000,2.3000,2.3498,2.3000,2.6901,2.3735,2.3000,2.3000,2.4060, 2.3000,2.3000,2.0687,2.2166,2.3498,2.2018,2.3000,2.5658,2.3000, 2.1042,2.1249,2.5155,2.3000,2.3000,2.3232,2.3000,2.1249,2.3291,
    4831             :       2.3000,2.2314,2.3000,2.3735,2.3000,2.6428,2.3000,2.3000,2.3942, 2.0716,2.3000,2.3000,2.2314,2.3000,2.0716,2.5540,2.3113,2.3735, 2.3000,2.3000,2.3000,2.3000,2.3000,2.5925,2.1338,2.0598,2.3000,
    4832             :       2.5984,2.1338,2.3942,2.3000,2.3000,2.3000,2.2936,2.1870,2.2492, 2.0953,2.3000,2.3025,2.5984,2.0775,2.2492,2.4208,2.0775,2.3000, 2.3000,2.3000,2.3439,2.2788,2.5540,2.1456,2.3000,2.4208,2.3000,
    4833             :       2.3000,2.1456,2.3000,2.3000,2.3000,2.3000,2.2669,2.0568,2.2610, 2.2669,2.0835,2.4445,2.0835,2.1722,2.5155,2.3000,2.3000,2.3000, 2.2817,2.0894,2.3000,2.3143,2.4445,2.1574,2.1574,2.3000,2.2610,
    4834             :       2.3000,2.2462,2.3000,2.2788,2.2344,2.2462,2.2936,2.2196,2.2877, 2.3113,2.3000,2.3000,2.2078,2.4771,2.3291,2.2877,2.0894,2.0894, 2.3498,2.4711,2.1959,2.3000,2.3000,2.3705,2.0568,2.4711,2.3000,
    4835             :       2.3912,2.1841,2.1722,2.2344,2.2877,2.1722,2.2640,2.3000,2.4149, 2.0598,2.1574,2.0598,2.3000,2.4386,2.4415,2.1722,2.0835,2.3084, 2.3000,2.4682,2.3084,2.4948,2.0953,2.0953,2.4978,2.1604,2.5244,
    4836             :       2.3000,2.3000,2.4978,2.5570,2.2196,2.3000,2.5895,2.4060,2.1870, 2.1870,2.5895,2.2640,2.5570,2.1515,2.0598,2.0598,2.5244,2.3000, 2.3291,2.0568,2.3000,2.4948,2.3291,2.2433,2.4682,2.1042,2.1042,
    4837             :       2.5244,2.1397,2.1456,2.3735,2.2078,2.5244,2.3000,2.3000,2.4415, 2.0775,2.2018,2.4149,2.2018,2.0627,2.0627,2.2403,2.3912,2.1308, 2.3498,2.3498,2.3439,2.3000,2.3705,2.1130,2.1130,2.5540,2.1959,
    4838             :       2.5540,2.3000,2.3000,2.3000,2.2255,2.3498,2.6487,2.6901,2.0598, 2.1190,2.2166,2.2166,2.3143,2.0687,2.0687,2.3291,2.1338,2.2166, 2.3735,2.3735,2.0716,2.3113,2.1249,2.1249,2.1841,2.5836,2.3000,
    4839             :       2.5836,2.1071,2.3000,2.3000,2.6191,2.2877,2.6428,2.2936,2.2314, 2.2314,2.1782,2.1900,2.1663,2.1071,2.0716,2.0716,2.0716,2.2078, 2.1190,2.3942,2.3942,2.1456,2.1308,2.1959,2.2788,2.1900,2.0598,
    4840             :       2.1397,2.2640,2.1338,2.3000,2.1338,2.3000,2.1722,2.1367,2.5925, 2.3000,2.3000,2.1249,2.3000,2.1397,2.2610,2.1249,2.2492,2.2492, 2.5984,2.1604,2.0687,2.0775,2.0775,2.3000,2.3000,2.4208,2.4208,
    4841             :       2.2403,2.1782,2.1160,2.2462,2.1722,2.1782,2.5658,2.1900,2.1456, 2.1456,2.1604,2.1841,2.3000,2.3000,2.1071,2.2344,2.2669,2.2669, 2.1959,2.3000,2.2166,2.5540,2.0835,2.0835,2.0627,2.1663,2.4445,
    4842             :       2.2078,2.4445,2.3000,2.3000,2.5392,2.1130,2.0983,2.2196,2.1604, 2.2196,2.1574,2.1574,2.1515,2.0568,2.0568,2.1959,2.0627,2.2344, 2.1722,2.2877,2.2877,2.0923,2.2078,2.2462,2.5126,2.0894,2.0894,
    4843             :       2.1574,2.5155,2.4711,2.4711,2.3000,2.3000,2.3000,2.2610,2.1426, 2.1782,2.1722,2.2788,2.1722,2.1959,2.0835,2.1397,2.0598,2.0598, 2.2936,2.4859,2.3084,2.3113,2.3084,2.3000,2.1042,2.3291,2.0953,
    4844             :       2.0953,2.3498,2.1456,2.4978,2.4978,2.3705,2.1841,2.1574,2.3000, 2.3000,2.3912,2.1604,2.4149,2.4771,2.4415,2.4682,2.4948,2.5244, 2.5570,2.5570,2.5244,2.4948,2.3000,2.4682,2.4415,2.0746,2.4149,
    4845             :       2.3912,2.3705,2.1870,2.1870,2.0598,2.1278,2.3498,2.0568,2.0627, 2.3291,2.4623,2.0687,2.0509,2.3113,2.0598,2.0598,2.2936,2.1308, 2.0746,2.0450,2.2788,2.3291,2.3291,2.1722,2.2610,2.0835,2.0391,
    4846             :       2.2462,2.1426,2.1042,2.1042,2.5244,2.5244,2.2344,2.0923,2.1367, 2.3000,2.3000,2.0687,2.4356,2.0331,2.2196,2.2018,2.2018,2.0953, 2.0983,2.1130,2.2078,2.4386,2.1604,2.1426,2.3000,2.3000,2.0627,
    4847             :       2.0627,2.1959,2.3498,2.3498,2.1190,2.1071,2.1278,2.1841,2.4120, 2.1130,2.1130,2.5540,2.5540,2.0627,2.1160,2.3000,2.3000,2.0598, 2.1722,2.1515,2.1249,2.2166,2.2166,2.0983,2.1604,2.1249,2.0687,
    4848             :       2.0687,2.1130,2.3883,2.3735,2.3735,2.4060,2.1515,2.3000,2.1278, 2.1071,2.1397,2.1367,2.1249,2.1249,2.3000,2.3000,2.0894,2.0568, 2.1397,2.3000,2.3000,2.3676,2.3676,2.4948,2.1160,2.1456,2.3000,
    4849             :       2.2314,2.2314,2.0983,2.0864,2.1308,2.0716,2.0716,2.1308,2.3942, 2.3942,2.1574,2.3439,2.1900,2.1190,2.0568,2.1338,2.1338,2.3000, 2.3735,2.1130,2.3000,2.3000,2.0509,2.1663,2.6132,2.6132,2.0864,
    4850             :       2.1071,2.2492,2.2492,2.0746,2.1190,2.3232,2.1071,2.0775,2.0775, 2.1782,2.0835,2.3000,2.3000,2.4208,2.4208,2.1900,2.1782,2.1456, 2.1456,2.1900,2.3025,2.0746,2.0568,2.0568,2.5836,2.5836,2.3000,
    4851             :       2.1071,2.3000,2.0450,2.1782,2.2669,2.2669,2.1071,2.0657,2.0983, 2.3439,2.0835,2.0835,2.2817,2.0983,2.3000,2.3000,2.4445,2.4445, 2.1190,2.0568,2.1663,2.0657,2.1574,2.1574,2.1308,2.1900,2.1663,
    4852             :       2.0568,2.0568,2.5540,2.2640,2.5540,2.0775,2.1397,2.2877,2.2877, 2.0539,2.0391,2.1574,2.3000,2.1515,2.0894,2.0894,2.4711,2.4711, 2.3000,2.3000,2.0864,2.2433,2.0923,2.0923,2.0539,2.1782,2.3143,
    4853             :       2.1722,2.1722,2.1722,2.1456,2.1574,2.0598,2.0598,2.5244,2.1841, 2.5244,2.2255,2.1959,2.0450,2.3084,2.3084,2.2078,2.0568,2.2196, 2.0331,2.0953,2.0953,2.2344,2.3000,2.1367,2.4978,2.4978,2.3000,
    4854             :       2.3000,2.0331,2.2462,2.1663,2.0450,2.2610,2.2078,2.2788,2.0716, 2.2936,2.2078,2.2196,2.2344,2.2344,2.3113,2.2462,2.1841,2.2610, 2.2788,2.3291,2.1722,2.2936,2.3498,2.3498,2.3291,2.3705,2.3498,
    4855             :       2.1604,2.3705,2.3705,2.3912,2.4149,2.4149,2.4415,2.4415,2.4682, 2.4682,2.4948,2.4948,2.5244,2.5244,2.0716,2.1515,2.1397,2.1397, 2.1870,2.1870,2.1308,2.4978,2.1190,2.0598,2.0598,2.1456,2.4978,
    4856             :       2.1071,2.0391,2.1249,2.0361,2.1900,2.1900,2.3291,2.3291,2.1782, 2.2877,2.1574,2.1042,2.1042,2.1663,2.0361,2.5244,2.5244,2.3000, 2.3000,2.0450,2.1574,2.3000,2.1722,2.1160,2.1456,2.2018,2.2018,
    4857             :       2.4711,2.0598,2.0627,2.0627,2.0746,2.1367,2.4711,2.1367,2.0272, 2.0509,2.3498,2.3498,2.0598,2.1574,2.0687,2.1249,2.1456,2.0272, 2.1130,2.1130,2.3000,2.3000,2.1071,2.3000,2.3000,2.1160,2.0568,
    4858             :       2.1426,2.3000,2.2166,2.2166,2.4445,2.1071,2.2640,2.0687,2.0687, 2.0183,2.4445,2.1249,2.1367,2.3735,2.3735,2.3000,2.0627,2.0983, 2.0479,2.0983,2.1278,2.0183,2.1249,2.1249,2.3000,2.3000,2.0923,
    4859             :       2.0687,2.4208,2.0627,2.2314,2.2314,2.1130,2.0835,2.3000,2.0923, 2.3000,2.3000,2.0124,2.0598,2.1249,2.4208,2.1160,2.3942,2.3942, 2.0746,2.0124,2.3000,2.0391,2.0746,2.0983,2.1338,2.1338,2.3000,
    4860             :       2.3000,2.0835,2.3942,2.2403,2.0835,2.4356,2.4356,2.0687,2.2492, 2.2492,2.1160,2.0035,2.3000,2.3000,2.0864,2.3000,2.3000,2.0923, 2.0035,2.3942,2.1071,2.4208,2.4208,2.0627,2.0598,2.1456,2.1456,
    4861             :       2.0983,2.3000,2.0272,2.0746,2.3735,2.3000,2.3000,2.0716,2.5836, 2.5836,2.0568,2.2669,2.2669,2.1071,2.0627,2.3000,1.9976,2.3000, 2.3000,1.9976,2.3000,2.3000,2.1160,2.4445,2.4445,2.3000,2.3735,
    4862             :       2.0598,2.0687,2.0509,2.3498,2.1574,2.1574,2.1249,2.2166,2.3000, 2.3000,2.0183,2.3000,2.5540,2.5540,2.1367,2.3000,2.2877,2.2877, 1.9888,2.0598,2.0450,1.9888,2.0479,2.1456,2.3000,2.3000,2.3000,
    4863             :       2.3000,2.0627,2.4711,2.4711,2.1574,2.3000,2.3291,2.3498,2.1663, 2.3000,2.3000,2.1782,2.0391,2.3000,2.3000,2.0391,2.0568,2.1900, 2.3000,2.5244,2.5244,2.0095,2.3000,2.1071,1.9828,2.3084,2.3084,
    4864             :       1.9828,2.1190,2.1249,2.1160,2.1367,2.1071,2.1456,2.0983,2.3000, 2.3084,2.1574,2.1308,2.0923,2.1663,2.3000,2.3000,2.1782,2.0835, 2.3000,2.3000,2.1397,2.1900,2.1071,2.0746,2.1515,2.1190,2.4978,
    4865             :       2.4978,2.1308,2.0331,2.3000,2.1604,2.1397,2.0687,2.1515,2.1722, 2.1604,2.1841,2.1722,2.1959,2.1841,2.0627,2.1959,2.2078,2.2078, 2.2196,2.1959,2.0568,2.2196,2.2196,2.2344,2.3291,2.2344,2.2462,
    4866             :       2.2462,2.2610,2.2610,2.2788,2.2788,2.2936,2.2936,2.3113,2.3113, 2.3291,2.3291,2.0568,2.3498,2.3498,2.3705,2.3705,2.1870,2.1870, 2.3912,2.3912,2.4149,2.4149,2.4415,2.4415,2.4682,2.4682,2.4948,
    4867             :       2.4948,2.3000,2.3000,2.0509,2.3000,2.4978,2.4978,2.2877,1.9740, 2.0450,1.9740,2.0006,2.3000,2.3291,2.3291,2.3000,2.0391,2.3000, 2.3000,2.3000,2.3000,2.0183,2.3000,2.3000,2.3000,2.0331,2.2669,
    4868             :       2.2018,2.2018,2.0509,2.3084,2.3000,2.3000,2.3000,1.9680,2.3000, 2.4711,2.4711,1.9680,2.0568,2.3498,2.3498,2.0095,1.9917,2.3000, 2.3000,2.3000,2.3000,2.3000,2.2492,2.3000,2.1782,2.2166,2.2166,
    4869             :       2.3000,2.3000,2.3000,2.3000,1.9592,2.0006,1.9592,2.2877,2.4445, 2.4445,2.2314,2.3735,2.3735,1.9858,2.3000,2.3000,2.3000,2.3000, 2.3000,2.0568,2.0450,2.2166,2.3000,2.3000,1.9917,2.2314,2.2314,
    4870             :       2.3000,1.9532,2.3000,2.3000,1.9532,2.4208,2.4208,2.3942,2.3942, 2.2018,2.2669,1.9799,2.3000,2.3000,2.3000,2.3000,2.3000,1.9858, 2.3000,2.1870,2.1604,2.3000,2.3000,1.9444,1.9444,2.3000,2.3000,
    4871             :       2.3000,2.3000,2.3000,2.0598,2.3942,2.3942,2.4208,2.4208,2.0331, 2.1722,1.9710,2.0391,2.3000,2.3000,2.3000,2.3000,2.3000,1.9799, 2.2492,2.0391,2.3000,2.1574,1.9355,2.3853,2.3853,1.9355,2.3000,
    4872             :       2.3000,2.0450,2.3000,2.3000,2.3000,2.3000,2.3000,2.3735,2.3735, 2.1456,2.0509,2.4445,2.4445,1.9710,2.0598,1.9680,2.3000,2.3000, 2.3000,2.0568,2.3000,2.3000,2.1338,2.3000,2.0627,1.9266,1.9266,
    4873             :       2.2314,2.5540,2.5540,2.2877,2.2877,2.1249,2.0687,2.3000,2.3000, 2.3000,2.1426,2.3000,2.3000,2.3498,2.3498,2.0746,1.9680,2.4711, 2.4711,2.1130,2.0835,2.0331,2.0391,2.0450,1.9621,2.0509,2.3000,
    4874             :       2.0923,2.3498,2.3498,2.0568,2.1841,2.1841,2.0627,2.3000,2.0983, 2.0687,2.1042,2.0746,2.1071,1.9177,2.0627,1.9177,2.0835,2.0923, 2.1160,2.0983,2.5244,2.5244,2.3000,2.3000,2.1249,2.1071};
    4875             : 
    4876             : 
    4877             :     static const unsigned int ifin1[500]={
    4878             :          5,   8,   9,  12,  15,  17,  19,  21,  24,  27,  27,  30,  33,  36,  40,  45,  45,  48,  51,  52,  56,  58,  61,  63,  67,  68,  70,  77,  79,  82,
    4879             :         86,  86,  87,  91,  91,  91,  94,  97,  99, 103, 106, 108, 110, 111, 112, 115, 118, 120, 122, 122, 127, 130, 132, 136, 137, 142, 144, 146, 149, 151,
    4880             :        153, 153, 155, 156, 162, 162, 164, 169, 171, 172, 175, 177, 180, 184, 184, 185, 189, 192, 196, 197, 197, 201, 202, 208, 210, 212, 215, 216, 217, 223,
    4881             :        225, 227, 228, 230, 232, 235, 237, 238, 239, 242, 244, 247, 249, 250, 251, 252, 254, 255, 258, 263, 264, 267, 268, 269, 273, 277, 280, 283, 287, 287,
    4882             :        291, 293, 295, 297, 300, 304, 307, 311, 314, 316, 319, 319, 321, 324, 327, 330, 332, 334, 336, 340, 342, 343, 348, 349, 350, 353, 360, 361, 362, 363,
    4883             :        365, 365, 368, 370, 371, 374, 375, 377, 381, 383, 386, 389, 391, 391, 395, 396, 398, 399, 400, 402, 408, 410, 411, 412, 416, 419, 420, 425, 426, 431,
    4884             :        432, 433, 441, 442, 445, 448, 450, 452, 453, 456, 459, 465, 466, 467, 470, 472, 474, 475, 476, 480, 482, 484, 487, 492, 494, 496, 499, 500, 502, 503,
    4885             :        506, 508, 510, 512, 517, 521, 522, 522, 527, 528, 529, 533, 533, 539, 540, 540, 546, 551, 555, 561, 569, 577, 582, 585, 589, 592, 594, 597, 601, 606,
    4886             :        607, 610, 610, 618, 619, 623, 624, 629, 629, 631, 635, 635, 642, 643, 643, 646, 648, 652, 652, 655, 659, 661, 666, 666, 670, 673, 674, 679, 681, 683,
    4887             :        684, 686, 687, 690, 693, 695, 699, 702, 703, 706, 710, 712, 716, 718, 718, 719, 722, 724, 727, 733, 733, 739, 740, 740, 744, 750, 750, 751, 754, 757,
    4888             :        759, 763, 763, 768, 770, 770, 773, 779, 781, 783, 784, 788, 792, 794, 795, 799, 800, 803, 808, 815, 819, 835, 854, 859, 861, 867, 869, 873, 874, 875,
    4889             :        879, 884, 886, 888, 890, 892, 893, 900, 902, 906, 909, 910, 914, 918, 918, 919, 921, 925, 926, 930, 931, 939, 941, 941, 943, 946, 946, 947, 949, 952,
    4890             :        955, 960, 962, 966, 966, 969, 972, 974, 975, 980, 981, 983, 985, 991, 993, 996, 997, 998,1001,1007,1008,1010,1011,1017,1017,1022,1022,1027,1029,1031,
    4891             :       1035,1037,1039,1042,1045,1047,1051,1055,1058,1061,1062,1063,1065,1069,1071,1076,1081,1083,1093,1103,1110,1117,1125,1140,1163,1165,1167,1171,1177,1178,
    4892             :       1179,1183,1187,1188,1188,1189,1192,1196,1197,1201,1204,1206,1207,1212,1213,1213,1214,1214,1217,1220,1224,1227,1229,1230,1230,1234,1235,1237,1238,1239,
    4893             :       1244,1248,1248,1250,1253,1254,1255,1259,1260,1261,1262,1264,1269,1273,1275,1276,1280,1280,1282,1289,1289,1291,1292,1296,1300,1304,1306,1307,1310,1311,
    4894             :       1313,1319,1320,1321,1323,1329,1333,1337,1339,1340,1344,1347,1354,1358,1362,1365,1369,1375,1376,1376};
    4895             : 
    4896             :     static const unsigned int ini1[500]={
    4897             :          1,   1,   1,   3,   5,   8,   9,  12,  15,  17,  19,  21,  24,  27,  27,  30,  33,  36,  40,  45,  45,  48,  51,  52,  56,  58,  61,  63,  67,  68,
    4898             :         70,  77,  79,  82,  86,  86,  87,  91,  91,  91,  94,  97,  99, 103, 106, 108, 110, 111, 112, 115, 118, 120, 122, 122, 127, 130, 132, 136, 137, 142,
    4899             :        144, 146, 149, 151, 153, 153, 155, 156, 162, 162, 164, 169, 171, 172, 175, 177, 180, 184, 184, 185, 189, 192, 196, 197, 197, 201, 202, 208, 210, 212,
    4900             :        215, 216, 217, 223, 225, 227, 228, 230, 232, 235, 237, 238, 239, 242, 244, 247, 249, 250, 251, 252, 254, 255, 258, 263, 264, 267, 268, 269, 273, 277,
    4901             :        280, 283, 287, 287, 291, 293, 295, 297, 300, 304, 307, 311, 314, 316, 319, 319, 321, 324, 327, 330, 332, 334, 336, 340, 342, 343, 348, 349, 350, 353,
    4902             :        360, 361, 362, 363, 365, 365, 368, 370, 371, 374, 375, 377, 381, 383, 386, 389, 391, 391, 395, 396, 398, 399, 400, 402, 408, 410, 411, 412, 416, 419,
    4903             :        420, 425, 426, 431, 432, 433, 441, 442, 445, 448, 450, 452, 453, 456, 459, 465, 466, 467, 470, 472, 474, 475, 476, 480, 482, 484, 487, 492, 494, 496,
    4904             :        499, 500, 502, 503, 506, 508, 510, 512, 517, 521, 522, 522, 527, 528, 529, 533, 533, 539, 540, 540, 546, 551, 555, 561, 569, 577, 582, 585, 589, 592,
    4905             :        594, 597, 601, 606, 607, 610, 610, 618, 619, 623, 624, 629, 629, 631, 635, 635, 642, 643, 643, 646, 648, 652, 652, 655, 659, 661, 666, 666, 670, 673,
    4906             :        674, 679, 681, 683, 684, 686, 687, 690, 693, 695, 699, 702, 703, 706, 710, 712, 716, 718, 718, 719, 722, 724, 727, 733, 733, 739, 740, 740, 744, 750,
    4907             :        750, 751, 754, 757, 759, 763, 763, 768, 770, 770, 773, 779, 781, 783, 784, 788, 792, 794, 795, 799, 800, 803, 808, 815, 819, 835, 854, 859, 861, 867,
    4908             :        869, 873, 874, 875, 879, 884, 886, 888, 890, 892, 893, 900, 902, 906, 909, 910, 914, 918, 918, 919, 921, 925, 926, 930, 931, 939, 941, 941, 943, 946,
    4909             :        946, 947, 949, 952, 955, 960, 962, 966, 966, 969, 972, 974, 975, 980, 981, 983, 985, 991, 993, 996, 997, 998,1001,1007,1008,1010,1011,1017,1017,1022,
    4910             :       1022,1027,1029,1031,1035,1037,1039,1042,1045,1047,1051,1055,1058,1061,1062,1063,1065,1069,1071,1076,1081,1083,1093,1103,1110,1117,1125,1140,1163,1165,
    4911             :       1167,1171,1177,1178,1179,1183,1187,1188,1188,1189,1192,1196,1197,1201,1204,1206,1207,1212,1213,1213,1214,1214,1217,1220,1224,1227,1229,1230,1230,1234,
    4912             :       1235,1237,1238,1239,1244,1248,1248,1250,1253,1254,1255,1259,1260,1261,1262,1264,1269,1273,1275,1276,1280,1280,1282,1289,1289,1291,1292,1296,1300,1304,
    4913             :       1306,1307,1310,1311,1313,1319,1320,1321,1323,1329,1333,1337,1339,1340,1344,1347,1354,1358,1362,1365};
    4914             : 
    4915             :     static const unsigned int ifin2[500]={
    4916             :          3,   5,   8,   9,  12,  15,  16,  19,  21,  24,  26,  27,  29,  32,  35,  39,  44,  45,  48,  50,  52,  54,  57,  61,  63,  66,  68,  70,  74,  78,
    4917             :         82,  84,  86,  86,  91,  91,  91,  94,  95,  99, 102, 106, 107, 110, 110, 112, 114, 116, 118, 122, 122, 125, 128, 132, 135, 136, 140, 144, 145, 148,
    4918             :        151, 153, 153, 155, 155, 161, 162, 163, 168, 170, 172, 175, 177, 179, 184, 184, 184, 189, 191, 196, 196, 197, 199, 202, 208, 210, 211, 215, 216, 217,
    4919             :        222, 225, 227, 228, 230, 231, 234, 236, 238, 239, 242, 243, 246, 249, 249, 251, 252, 253, 255, 257, 263, 264, 266, 268, 269, 270, 277, 278, 283, 283,
    4920             :        287, 290, 292, 295, 297, 299, 303, 306, 310, 312, 316, 317, 319, 321, 323, 327, 330, 332, 334, 336, 339, 341, 343, 347, 349, 349, 352, 357, 361, 361,
    4921             :        362, 365, 365, 367, 370, 371, 373, 375, 376, 380, 383, 385, 388, 391, 391, 392, 396, 398, 399, 399, 401, 407, 408, 411, 412, 415, 419, 420, 425, 425,
    4922             :        429, 431, 433, 441, 442, 444, 448, 449, 452, 453, 456, 456, 463, 465, 467, 470, 472, 474, 475, 476, 479, 482, 482, 486, 492, 494, 495, 498, 499, 500,
    4923             :        503, 505, 508, 510, 512, 516, 521, 522, 522, 523, 528, 529, 533, 533, 539, 539, 540, 543, 551, 553, 557, 569, 575, 581, 585, 588, 592, 594, 596, 599,
    4924             :        603, 606, 610, 610, 615, 619, 623, 624, 629, 629, 631, 633, 635, 642, 643, 643, 645, 647, 651, 652, 655, 659, 660, 663, 666, 670, 673, 673, 678, 680,
    4925             :        681, 683, 686, 687, 689, 691, 695, 699, 702, 703, 706, 710, 710, 714, 718, 718, 719, 719, 723, 727, 730, 733, 737, 740, 740, 744, 749, 750, 751, 751,
    4926             :        756, 757, 762, 763, 768, 770, 770, 773, 778, 779, 783, 784, 788, 789, 794, 795, 799, 800, 801, 805, 814, 818, 830, 854, 858, 861, 866, 868, 873, 874,
    4927             :        875, 879, 884, 886, 888, 888, 892, 893, 899, 902, 906, 909, 909, 912, 918, 918, 919, 920, 925, 926, 928, 931, 938, 941, 941, 943, 946, 946, 947, 948,
    4928             :        952, 955, 960, 961, 966, 966, 969, 972, 974, 975, 977, 980, 983, 985, 990, 992, 996, 996, 998,1001,1007,1007,1008,1010,1016,1017,1022,1022,1027,1028,
    4929             :       1031,1035,1037,1039,1041,1043,1047,1051,1055,1056,1061,1062,1063,1065,1069,1069,1075,1079,1083,1091,1102,1107,1117,1123,1136,1163,1165,1167,1171,1173,
    4930             :       1178,1179,1183,1184,1188,1188,1188,1192,1196,1196,1201,1201,1206,1207,1211,1213,1213,1213,1214,1217,1220,1223,1227,1229,1229,1230,1234,1235,1236,1238,
    4931             :       1239,1243,1247,1248,1250,1252,1254,1255,1259,1260,1260,1262,1264,1267,1273,1274,1276,1278,1280,1281,1287,1289,1290,1292,1293,1298,1304,1305,1307,1310,
    4932             :       1310,1313,1319,1320,1321,1322,1325,1330,1337,1338,1340,1343,1347,1351,1357,1361,1363,1368,1373,1376};
    4933             : 
    4934             :     static const unsigned int ini2[500]={
    4935             :          1,   3,   4,   6,   9,  10,  12,  15,  18,  20,  23,  25,  27,  27,  30,  34,  36,  40,  45,  45,  49,  52,  53,  56,  60,  61,  64,  68,  68,  73,
    4936             :         77,  81,  84,  86,  86,  88,  91,  91,  92,  94,  97, 101, 103, 107, 108, 110, 111, 113, 115, 118, 120, 122, 123, 127, 131, 132, 136, 138, 142, 144,
    4937             :        147, 149, 152, 153, 155, 155, 157, 162, 162, 166, 169, 171, 172, 176, 177, 181, 184, 184, 185, 190, 195, 196, 197, 198, 201, 205, 208, 211, 213, 215,
    4938             :        217, 220, 223, 226, 228, 229, 230, 233, 235, 237, 239, 240, 242, 244, 248, 249, 251, 252, 252, 254, 257, 259, 264, 265, 267, 268, 269, 275, 278, 280,
    4939             :        283, 287, 288, 291, 294, 295, 297, 301, 304, 307, 312, 315, 316, 319, 319, 322, 325, 328, 331, 332, 335, 337, 341, 342, 344, 348, 349, 351, 354, 361,
    4940             :        361, 362, 364, 365, 365, 369, 370, 372, 374, 375, 379, 381, 383, 386, 389, 391, 391, 395, 396, 399, 399, 400, 405, 408, 411, 411, 413, 417, 420, 423,
    4941             :        425, 427, 431, 432, 436, 442, 444, 447, 448, 451, 452, 454, 456, 461, 465, 466, 468, 471, 472, 474, 476, 478, 481, 482, 484, 491, 493, 495, 496, 499,
    4942             :        500, 502, 505, 508, 510, 510, 514, 519, 521, 522, 522, 527, 528, 533, 533, 535, 539, 540, 541, 546, 552, 555, 565, 573, 579, 582, 586, 589, 593, 594,
    4943             :        597, 601, 606, 609, 610, 612, 619, 621, 623, 624, 629, 629, 631, 635, 639, 643, 643, 643, 647, 648, 652, 652, 657, 659, 661, 666, 667, 670, 673, 676,
    4944             :        680, 681, 683, 684, 687, 687, 691, 694, 696, 699, 703, 703, 708, 710, 712, 716, 718, 719, 719, 723, 724, 727, 733, 734, 739, 740, 742, 748, 750, 750,
    4945             :        751, 754, 757, 760, 763, 764, 768, 770, 773, 777, 779, 781, 783, 786, 788, 792, 794, 796, 799, 800, 805, 810, 815, 821, 844, 858, 859, 863, 867, 871,
    4946             :        873, 875, 876, 882, 885, 887, 888, 892, 893, 897, 900, 902, 907, 909, 910, 915, 918, 919, 920, 923, 925, 928, 930, 932, 939, 941, 941, 943, 946, 946,
    4947             :        947, 951, 952, 958, 960, 965, 966, 966, 969, 972, 974, 977, 980, 983, 983, 987, 991, 996, 996, 997, 998,1003,1007,1008,1010,1014,1017,1017,1022,1026,
    4948             :       1027,1029,1031,1035,1037,1039,1043,1046,1047,1051,1055,1060,1061,1062,1063,1065,1069,1073,1077,1081,1085,1095,1104,1113,1119,1127,1147,1163,1167,1167,
    4949             :       1172,1177,1178,1179,1184,1188,1188,1188,1189,1193,1196,1198,1201,1204,1206,1209,1212,1213,1213,1214,1216,1217,1221,1224,1227,1229,1230,1232,1234,1235,
    4950             :       1237,1238,1243,1244,1248,1250,1250,1254,1254,1257,1260,1260,1261,1263,1266,1271,1273,1276,1276,1280,1280,1284,1289,1290,1291,1292,1298,1302,1304,1306,
    4951             :       1307,1310,1311,1316,1320,1321,1321,1325,1329,1335,1337,1340,1341,1346,1348,1354,1359,1362,1368,1370};
    4952             : 
    4953             :     static const unsigned int ifin3[500]={
    4954             :          3,   4,   6,   9,  10,  12,  15,  18,  20,  23,  25,  27,  27,  30,  34,  36,  40,  45,  45,  49,  52,  53,  56,  60,  61,  64,  68,  68,  73,  77,
    4955             :         81,  84,  86,  86,  88,  91,  91,  92,  94,  97, 101, 103, 107, 108, 110, 111, 113, 115, 118, 120, 122, 123, 127, 131, 132, 136, 138, 142, 144, 147,
    4956             :        149, 152, 153, 155, 155, 157, 162, 162, 166, 169, 171, 172, 176, 177, 181, 184, 184, 185, 190, 195, 196, 197, 198, 201, 205, 208, 211, 213, 215, 217,
    4957             :        220, 223, 226, 228, 229, 230, 233, 235, 237, 239, 240, 242, 244, 248, 249, 251, 252, 252, 254, 257, 259, 264, 265, 267, 268, 269, 275, 278, 280, 283,
    4958             :        287, 288, 291, 294, 295, 297, 301, 304, 307, 312, 315, 316, 319, 319, 322, 325, 328, 331, 332, 335, 337, 341, 342, 344, 348, 349, 351, 354, 361, 361,
    4959             :        362, 364, 365, 365, 369, 370, 372, 374, 375, 379, 381, 383, 386, 389, 391, 391, 395, 396, 399, 399, 400, 405, 408, 411, 411, 413, 417, 420, 423, 425,
    4960             :        427, 431, 432, 436, 442, 444, 447, 448, 451, 452, 454, 456, 461, 465, 466, 468, 471, 472, 474, 476, 478, 481, 482, 484, 491, 493, 495, 496, 499, 500,
    4961             :        502, 505, 508, 510, 510, 514, 519, 521, 522, 522, 527, 528, 533, 533, 535, 539, 540, 541, 546, 552, 555, 565, 573, 579, 582, 586, 589, 593, 594, 597,
    4962             :        601, 606, 609, 610, 612, 619, 621, 623, 624, 629, 629, 631, 635, 639, 643, 643, 643, 647, 648, 652, 652, 657, 659, 661, 666, 667, 670, 673, 676, 680,
    4963             :        681, 683, 684, 687, 687, 691, 694, 696, 699, 703, 703, 708, 710, 712, 716, 718, 719, 719, 723, 724, 727, 733, 734, 739, 740, 742, 748, 750, 750, 751,
    4964             :        754, 757, 760, 763, 764, 768, 770, 773, 777, 779, 781, 783, 786, 788, 792, 794, 796, 799, 800, 805, 810, 815, 821, 844, 858, 859, 863, 867, 871, 873,
    4965             :        875, 876, 882, 885, 887, 888, 892, 893, 897, 900, 902, 907, 909, 910, 915, 918, 919, 920, 923, 925, 928, 930, 932, 939, 941, 941, 943, 946, 946, 947,
    4966             :        951, 952, 958, 960, 965, 966, 966, 969, 972, 974, 977, 980, 983, 983, 987, 991, 996, 996, 997, 998,1003,1007,1008,1010,1014,1017,1017,1022,1026,1027,
    4967             :       1029,1031,1035,1037,1039,1043,1046,1047,1051,1055,1060,1061,1062,1063,1065,1069,1073,1077,1081,1085,1095,1104,1113,1119,1127,1147,1163,1167,1167,1172,
    4968             :       1177,1178,1179,1184,1188,1188,1188,1189,1193,1196,1198,1201,1204,1206,1209,1212,1213,1213,1214,1216,1217,1221,1224,1227,1229,1230,1232,1234,1235,1237,
    4969             :       1238,1243,1244,1248,1250,1250,1254,1254,1257,1260,1260,1261,1263,1266,1271,1273,1276,1276,1280,1280,1284,1289,1290,1291,1292,1298,1302,1304,1306,1307,
    4970             :       1310,1311,1316,1320,1321,1321,1325,1329,1335,1337,1340,1341,1346,1348,1354,1359,1362,1368,1370,1376};
    4971             : 
    4972             :     static const unsigned int ini3[500]={
    4973             :          1,   3,   5,   8,   9,  12,  15,  16,  19,  21,  24,  26,  27,  29,  32,  35,  39,  44,  45,  48,  50,  52,  54,  57,  61,  63,  66,  68,  70,  74,
    4974             :         78,  82,  84,  86,  86,  91,  91,  91,  94,  95,  99, 102, 106, 107, 110, 110, 112, 114, 116, 118, 122, 122, 125, 128, 132, 135, 136, 140, 144, 145,
    4975             :        148, 151, 153, 153, 155, 155, 161, 162, 163, 168, 170, 172, 175, 177, 179, 184, 184, 184, 189, 191, 196, 196, 197, 199, 202, 208, 210, 211, 215, 216,
    4976             :        217, 222, 225, 227, 228, 230, 231, 234, 236, 238, 239, 242, 243, 246, 249, 249, 251, 252, 253, 255, 257, 263, 264, 266, 268, 269, 270, 277, 278, 283,
    4977             :        283, 287, 290, 292, 295, 297, 299, 303, 306, 310, 312, 316, 317, 319, 321, 323, 327, 330, 332, 334, 336, 339, 341, 343, 347, 349, 349, 352, 357, 361,
    4978             :        361, 362, 365, 365, 367, 370, 371, 373, 375, 376, 380, 383, 385, 388, 391, 391, 392, 396, 398, 399, 399, 401, 407, 408, 411, 412, 415, 419, 420, 425,
    4979             :        425, 429, 431, 433, 441, 442, 444, 448, 449, 452, 453, 456, 456, 463, 465, 467, 470, 472, 474, 475, 476, 479, 482, 482, 486, 492, 494, 495, 498, 499,
    4980             :        500, 503, 505, 508, 510, 512, 516, 521, 522, 522, 523, 528, 529, 533, 533, 539, 539, 540, 543, 551, 553, 557, 569, 575, 581, 585, 588, 592, 594, 596,
    4981             :        599, 603, 606, 610, 610, 615, 619, 623, 624, 629, 629, 631, 633, 635, 642, 643, 643, 645, 647, 651, 652, 655, 659, 660, 663, 666, 670, 673, 673, 678,
    4982             :        680, 681, 683, 686, 687, 689, 691, 695, 699, 702, 703, 706, 710, 710, 714, 718, 718, 719, 719, 723, 727, 730, 733, 737, 740, 740, 744, 749, 750, 751,
    4983             :        751, 756, 757, 762, 763, 768, 770, 770, 773, 778, 779, 783, 784, 788, 789, 794, 795, 799, 800, 801, 805, 814, 818, 830, 854, 858, 861, 866, 868, 873,
    4984             :        874, 875, 879, 884, 886, 888, 888, 892, 893, 899, 902, 906, 909, 909, 912, 918, 918, 919, 920, 925, 926, 928, 931, 938, 941, 941, 943, 946, 946, 947,
    4985             :        948, 952, 955, 960, 961, 966, 966, 969, 972, 974, 975, 977, 980, 983, 985, 990, 992, 996, 996, 998,1001,1007,1007,1008,1010,1016,1017,1022,1022,1027,
    4986             :       1028,1031,1035,1037,1039,1041,1043,1047,1051,1055,1056,1061,1062,1063,1065,1069,1069,1075,1079,1083,1091,1102,1107,1117,1123,1136,1163,1165,1167,1171,
    4987             :       1173,1178,1179,1183,1184,1188,1188,1188,1192,1196,1196,1201,1201,1206,1207,1211,1213,1213,1213,1214,1217,1220,1223,1227,1229,1229,1230,1234,1235,1236,
    4988             :       1238,1239,1243,1247,1248,1250,1252,1254,1255,1259,1260,1260,1262,1264,1267,1273,1274,1276,1278,1280,1281,1287,1289,1290,1292,1293,1298,1304,1305,1307,
    4989             :       1310,1310,1313,1319,1320,1321,1322,1325,1330,1337,1338,1340,1343,1347,1351,1357,1361,1363,1368,1373};
    4990             : 
    4991             :     static const double pi=3.141592654;
    4992             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
    4993             :     static const double mu=0.53;  //Debyes
    4994             :     static const double mmol=50.0;
    4995             : 
    4996             :     //double q=1.387429043*pow(tt,1.5);
    4997    10668574 :     double q=1.387429043*tt*sqrt(tt);
    4998             :     unsigned int vp;
    4999             :     unsigned int ini;
    5000             :     unsigned int ifin;
    5001    10668574 :     std::complex<double>  lshape;
    5002    10668574 :     std::complex<double>  lshapeacum;
    5003             : 
    5004    10668574 :     if(nu>999.9){
    5005             : 
    5006           0 :       return std::complex<double> (0.0,0.0);
    5007             : 
    5008             :     }else{
    5009             : 
    5010    10668574 :       vp = vpIndex(nu);
    5011             : 
    5012    10668574 :       if(pp<25){ ini=ini3[vp]; ifin=ifin3[vp]; }else{ if(pp<300){ ini=ini2[vp]; ifin=ifin2[vp]; }else{ ini=ini1[vp]; ifin=ifin1[vp]; } }
    5013    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
    5014    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
    5015             : 
    5016    10668574 :       if(ifin==0||ifin<ini){
    5017             : 
    5018           0 :         return std::complex<double> (0.0,0.0);
    5019             : 
    5020             :       }else{
    5021             : 
    5022    95235889 :         for(unsigned int i=ini; i<ifin+1; i++){
    5023             : 
    5024    84567315 :           lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,brdO3air[i]*0.001,texpO3[i]),0.0);   // broadening en GHz/mb 14/11/2018
    5025             :           // lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,0.0025,0.76),0.0);
    5026    84567315 :           lshape=lshape*flin[i]*exp(-el[i]/tt)*fre[i];
    5027    84567315 :           lshapeacum=lshapeacum+lshape;
    5028             : 
    5029             :         }
    5030             : 
    5031    10668574 :         lshapeacum=lshapeacum*(nu/pi)*(0.047992745509/tt)*(picube8div3hcesu*pow(mu,2)/q);  // imaginary part: absorption coefficient in cm^2
    5032             :                                                                                                           // real part: delay in rad*cm^2
    5033    10668574 :         return lshapeacum*1e-4;    // to give it in SI units (m^2)    // (  rad m^2 , m^2 )
    5034             : 
    5035             : 
    5036             :       }
    5037             : 
    5038             :     }
    5039             : 
    5040             :   }
    5041             : 
    5042             :   //////////////////////// Opacity Source Number: 21 /////////////////////////////
    5043             : 
    5044    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_16o16o17o(double tt, double pp, double nu){
    5045             : 
    5046             :     static const double fre[1363]={
    5047             :          .16176,  1.89024,  1.91956,  3.04142,  3.19196,  3.89097,  3.98601,  4.78954,  7.53146,  8.07908,  8.66614,  8.89708,  10.84322, 13.23648, 14.05621, 16.41521, 17.09709, 17.79825,
    5048             :        17.98169, 18.90229, 20.63486, 21.93736, 21.94474, 22.58606, 24.20730, 24.28898, 25.74250, 26.06893, 26.49450, 27.87676,  28.04065, 29.18037, 29.37095, 29.85546, 29.91941, 30.31878,
    5049             :        31.25160, 31.27915, 31.86630, 31.86800, 32.58596, 33.34581, 34.13127, 34.21584, 35.00331, 35.70629, 37.96981, 38.90970,  39.16398, 40.61023, 41.05211, 41.33156, 41.43973, 41.95740,
    5050             :        43.63227, 44.72885, 45.46450, 46.08818, 47.37485, 47.90563, 49.63892, 49.99009, 50.74731, 51.22195, 53.10312, 54.33059,  55.42888, 55.62713, 55.83772, 56.11096, 56.68505, 57.37603,
    5051             :        58.24194, 58.66677, 60.78366, 61.71863, 62.32849, 62.64629, 63.25550, 64.24054, 64.47763, 64.81511, 65.69582, 66.07205,  66.43960, 66.99494, 67.03879, 67.36079, 67.91227, 69.00303,
    5052             :        70.63709, 72.25570, 73.87043, 76.01097, 77.40594, 79.36521, 79.36784, 79.85448, 80.19440, 81.25876, 81.35755, 82.69506,  82.98017, 87.93170, 88.15081, 88.66292, 89.24746, 91.23571,
    5053             :        91.31394, 91.71814, 92.16217, 93.17298, 93.97666, 94.51998, 95.43642, 96.30901, 97.65726, 99.81734, 99.95576,100.22626, 100.65495,100.67633,102.37038,102.52416,103.34147,104.54263,
    5054             :       105.02453,106.70192,107.04454,107.91061,107.92510,108.14973,109.19686,109.31612,109.36213,110.25739,111.72639,112.63072, 115.06657,115.87951,116.99311,117.41811,118.00931,119.55885,
    5055             :       120.11865,121.65420,121.87147,124.75045,125.36546,125.72860,128.84477,128.95417,129.81329,130.19322,130.31844,131.89264, 131.90153,131.92750,132.26762,133.55542,133.67831,135.32990,
    5056             :       135.46064,135.79457,136.35156,137.09759,138.97576,139.68504,140.00953,140.38775,142.72788,143.12219,146.40438,146.68932, 148.12885,148.21691,148.48269,148.87717,149.43930,150.05814,
    5057             :       151.59005,152.92607,154.14075,154.16195,156.79552,160.07718,160.11742,160.41422,160.94716,161.27583,161.37581,162.31051, 162.56888,162.93489,163.22775,165.52922,167.21981,167.29719,
    5058             :       168.06224,168.57621,170.24416,170.39093,171.00722,171.49618,171.97143,172.09340,172.88506,173.16004,174.54333,174.68908, 175.04178,175.06221,175.29462,175.69270,176.84444,176.87418,
    5059             :       177.39072,177.56918,177.67091,181.31447,183.91704,184.52283,186.38087,187.07582,187.33263,188.15759,189.19894,189.28070, 189.29330,190.90857,193.39711,197.08258,197.19944,197.45271,
    5060             :       199.98650,201.36323,201.39318,201.99706,202.62725,202.83385,203.12245,204.86297,205.38126,205.45719,205.50351,205.60283, 205.84344,208.01709,209.08738,210.67028,211.05997,212.48532,
    5061             :       213.19967,215.20366,215.68556,218.71310,221.99112,222.86677,223.04200,223.20099,223.32035,223.38631,223.42964,225.19501, 227.47478,228.77953,229.09702,233.73348,233.93689,234.30381,
    5062             :       234.46646,234.51826,235.77737,235.98260,236.32325,238.34927,238.44538,238.97727,239.45352,239.56178,239.85730,240.79738, 241.41987,241.64133,241.79123,242.33475,243.99501,244.00067,
    5063             :       244.97250,245.03958,245.27379,247.14227,248.89362,249.04875,249.10153,249.74476,250.01357,250.04687,253.28696,253.40055, 254.02916,254.22242,254.35832,255.17235,257.59739,257.66496,
    5064             :       258.43014,261.83090,262.83914,262.85415,264.26675,264.27393,264.66665,265.84959,266.91752,267.21793,267.56303,267.65017, 269.23139,269.52956,270.37601,271.07046,272.76284,274.64475,
    5065             :       274.79896,275.37046,275.45873,277.54437,277.68432,277.85512,278.39761,279.16153,279.34381,279.85697,280.91669,281.85607, 283.15222,283.15984,283.76367,284.03156,284.62315,286.85382,
    5066             :       286.93824,287.61323,289.96746,289.98230,290.26975,290.51376,290.58093,291.17168,293.06050,293.29703,294.41403,294.96520, 295.16722,300.09709,300.30203,300.41556,301.74269,304.77596,
    5067             :       304.91185,305.10790,305.27512,305.98278,306.38628,306.53092,307.57362,307.87992,312.62825,315.58057,315.78902,318.22112, 318.39250,318.76172,319.18861,319.39207,319.53757,320.03883,
    5068             :       320.11224,320.29505,321.04720,323.49029,325.87147,325.95442,327.88894,328.21886,329.34852,330.25973,330.61362,330.85485, 331.55940,331.63024,332.59826,336.12647,337.17122,338.36792,
    5069             :       338.89450,339.88513,341.07766,341.22739,343.12507,343.71061,344.07003,344.59908,346.85358,346.89696,350.90565,351.35858, 351.41871,354.18407,355.31773,355.38116,355.62668,355.87430,
    5070             :       356.02410,356.27175,356.43622,356.60752,356.69086,357.29655,357.39492,357.85852,358.30858,358.40360,358.57268,361.18488, 361.20807,362.14550,362.32775,364.43802,366.31170,366.48162,
    5071             :       366.58806,366.83697,367.84327,368.09421,368.16027,368.66138,369.24408,369.59760,372.48054,372.59775,373.19803,374.13241, 374.61443,374.92278,375.87011,376.76844,376.81167,378.89869,
    5072             :       379.49898,380.68979,380.88895,381.05980,381.60412,381.96781,382.05193,382.10532,385.50594,385.90626,386.56727,386.58408, 391.79965,391.87451,393.31467,393.39531,393.47054,394.30286,
    5073             :       394.53386,394.76757,396.92902,397.09981,397.65269,400.93655,401.00741,402.08059,402.10574,402.13654,406.05722,406.17332, 406.40034,406.57240,406.60825,406.99085,408.25199,408.59081,
    5074             :       409.19902,409.77847,410.66535,411.88776,411.89985,412.09321,415.10912,415.61759,416.10765,417.03829,417.09034,419.26265, 419.40988,421.23466,423.33345,426.02584,426.19572,427.37484,
    5075             :       427.39659,427.47560,427.82570,430.13527,431.06894,431.10474,431.14091,431.21672,431.21853,434.88480,435.75346,436.18271, 436.40464,437.14946,437.15810,437.68166,438.42121,442.06049,
    5076             :       442.20350,442.23927,443.54124,443.66169,444.13745,444.22872,447.05077,449.84129,450.35850,451.19291,451.35261,451.81262, 452.57981,452.59503,453.54618,454.97074,455.18296,455.73815,
    5077             :       455.79415,456.14843,456.19941,457.93444,458.29463,458.85726,460.29309,461.80680,462.11092,462.35534,462.36146,463.01005, 463.46151,464.42252,465.07109,465.48010,465.71534,465.83351,
    5078             :       465.91704,465.96531,466.06140,466.22847,466.49365,466.88764,467.30077,467.32503,467.44437,468.09907,468.13318,468.20048, 468.93936,468.99417,469.19487,469.24341,469.49081,469.98202,
    5079             :       470.46817,470.88778,471.52108,472.06218,473.91662,474.01935,474.51501,475.20753,476.38218,477.42484,477.54555,477.72450, 477.73503,477.84786,479.19270,479.23774,480.19856,480.31761,
    5080             :       480.34307,480.40581,481.08729,481.12014,482.49196,484.16289,485.01411,486.31948,486.95469,487.50822,487.51252,487.99400, 488.88682,489.89084,489.94540,490.71282,491.96823,492.33514,
    5081             :       492.35136,493.67882,493.71058,494.17651,494.67755,495.70714,497.93851,499.02770,501.33477,502.05413,502.52746,502.81252, 502.81973,503.38485,504.55444,504.57542,504.85693,504.86711,
    5082             :       505.96426,505.98499,507.01782,507.62491,509.35534,510.24272,511.12197,512.61079,512.61379,512.87735,514.60329,516.00959, 517.31129,517.32199,518.04977,518.36493,518.38258,520.60691,
    5083             :       520.80805,522.29192,522.95026,526.09984,527.84728,527.85217,529.36718,529.37057,529.58838,530.70886,530.78550,530.79828, 530.85896,531.22909,531.44929,532.40947,533.39788,537.66565,
    5084             :       537.66772,539.21870,539.27832,539.29517,539.49600,539.86805,542.22866,542.23361,542.24055,543.00565,543.01500,543.07801, 544.01867,544.18951,546.28272,546.82930,546.83013,549.77918,
    5085             :       551.50741,551.77269,552.83205,552.83532,554.30767,554.62039,555.55662,555.56430,557.31108,557.77438,558.18238,558.32803, 560.44762,560.81804,562.67528,562.67670,563.70461,563.78910,
    5086             :       564.86895,565.02515,567.10619,567.11062,567.60799,567.61267,570.01420,571.82903,571.82960,571.87439,572.77599,572.95848, 575.07398,576.67936,577.76991,577.77208,577.89945,578.76463,
    5087             :       580.28277,580.28725,581.90576,584.05616,584.43974,584.63074,585.70594,587.27949,587.64208,587.64304,588.06613,588.32033, 589.61387,590.87151,591.93290,591.93567,592.17814,592.18033,
    5088             :       593.58513,594.38897,596.75934,596.79061,596.79101,596.98538,597.89734,598.13817,600.08171,601.33850,601.85445,602.66383, 602.66524,602.98963,604.96870,604.97124,608.53737,609.38405,
    5089             :       610.65033,611.93881,612.31651,612.56836,612.56900,612.65886,612.91137,615.01460,616.03643,616.14636,616.71736,616.71907, 616.72159,616.72252,618.28630,618.64101,621.71587,621.71614,
    5090             :       622.13867,623.27242,625.03540,627.01124,627.37978,627.51663,627.51754,628.37755,629.61882,629.62021,631.90594,632.70295, 634.10335,635.70816,635.76650,636.39752,636.99951,637.45633,
    5091             :       637.45676,637.59050,637.80841,637.87387,639.01958,639.03160,639.72569,640.12126,641.24320,641.24356,641.46303,641.46405, 641.50497,641.56070,641.72811,641.78393,643.95650,645.76794,
    5092             :       646.46645,646.60656,646.60675,647.22241,647.75793,648.37538,649.27701,649.52824,649.97178,649.98070,650.00936,650.04229, 650.15782,650.16800,650.33521,650.45874,650.49850,650.52488,
    5093             :       650.72148,650.85581,650.89054,650.91290,650.94767,651.09020,651.17618,651.24737,651.37908,651.38097,651.48976,651.51881, 651.57432,651.61133,651.63663,651.66259,651.66949,651.67964,
    5094             :       651.70351,651.70690,651.72136,651.72220,652.33102,652.33159,652.64351,653.93196,654.23721,654.23794,654.48172,655.57043, 655.88521,657.60185,659.33962,659.87588,660.06899,660.09945,
    5095             :       660.23970,662.30815,662.30843,662.39212,663.01390,665.74732,665.74744,666.17315,666.17376,666.47739,667.39863,670.22327, 670.49846,670.74275,671.46440,671.46452,671.62754,672.30147,
    5096             :       672.50778,674.54713,675.11383,675.51489,675.74675,676.84072,677.08514,677.10959,677.10995,678.82766,678.82803,680.35058, 680.35750,680.67731,681.45740,682.01903,683.76360,685.76352,
    5097             :       686.26033,687.12588,687.12606,687.35723,689.34158,690.23778,690.23781,690.85084,690.85119,692.84970,693.43401,696.29104, 696.29112,698.10641,698.91211,699.47147,700.02534,700.14918,
    5098             :       701.23111,701.85484,701.85506,703.07451,703.39372,703.39389,704.28216,705.78501,706.74389,706.88175,706.97482,708.17835, 711.77619,711.91154,711.91165,712.53379,715.49903,715.49922,
    5099             :       715.86351,716.43499,716.95252,720.37033,721.08809,721.08815,721.55231,724.19978,724.92159,725.16864,725.66100,726.48268, 726.56915,726.56928,726.64641,726.68373,727.74627,727.93865,
    5100             :       727.93873,729.14192,729.43733,729.43735,729.50146,734.39511,734.50691,736.05146,736.66704,736.66712,736.77536,737.97732, 740.12050,740.12060,743.88908,744.90109,745.85712,745.85715,
    5101             :       746.97136,747.22646,747.83267,748.88851,749.09516,749.59330,749.59342,751.25482,751.25490,751.52843,751.88526,752.46551, 752.46554,754.04451,754.19221,754.19223,755.57690,757.59559,
    5102             :       757.64748,759.15858,759.65229,761.39427,761.39432,762.94270,763.10125,763.75139,763.90678,764.71789,764.71795,767.26428, 768.16681,769.19849,770.53925,770.59964,770.59966,771.61394,
    5103             :       772.22760,772.87097,774.05769,774.05854,775.91405,775.91409,776.05213,776.85196,776.97710,776.97711,778.92322,778.92323, 779.49046,782.76977,784.00910,785.41897,785.54782,786.09503,
    5104             :       786.09506,789.29372,789.29375,789.92813,791.04762,791.15273,791.36148,791.53797,791.57970,793.44446,794.19023,795.31713, 795.31715,795.66381,797.51621,798.51604,798.51947,799.59819,
    5105             :       800.54895,800.54897,801.47601,801.47601,801.60215,802.85916,803.14448,803.63155,803.63155,803.99145,808.09043,810.77107, 810.77108,812.41162,812.43528,812.65197,813.17556,813.85036,
    5106             :       813.85037,814.09374,814.36025,814.49537,815.19089,816.16740,816.58880,816.81326,818.79388,819.41661,820.01102,820.01103, 822.21594,822.96306,822.97335,823.33427,824.58190,824.61871,
    5107             :       824.64500,824.76025,824.91093,825.16154,825.16155,825.22032,825.34304,825.90705,825.96460,825.96460,826.00354,826.15502, 826.57132,826.67409,827.15202,827.30706,828.08849,828.26535,
    5108             :       828.31836,828.31836,828.42678,828.70810,828.89291,829.70072,829.79892,829.81213,829.91688,830.49539,830.71379,831.17997, 831.26331,831.99368,832.00573,832.24736,832.67830,833.14638,
    5109             :       833.21026,833.31132,833.88903,833.90082,834.40958,834.53126,834.87271,835.05547,835.27950,835.42406,835.42407,835.48877, 835.63211,835.84440,835.93356,836.13378,836.18752,836.23738,
    5110             :       836.36683,836.39805,836.55213,836.56954,836.69722,836.70646,836.72135,836.80866,836.81330,836.89224,836.89441,836.95305, 836.95398,836.99557,836.99593,837.02374,837.02386,837.04101,
    5111             :       837.04104,837.05034,837.05035,837.57712,838.39003,838.39004,839.33926,839.47385,839.83319,843.82414,844.03346,844.16060, 844.68269,844.68270,845.92887,846.16826,847.39151,847.41729,
    5112             :       847.73650,848.87126,849.75376,849.75377,849.89357,850.44501,850.44501,850.52968,850.98542,852.98479,852.98479,854.37660, 859.44521,859.49469,860.05564,860.05564,860.57606,860.61403,
    5113             :       862.16417,862.91485,862.91485,864.16234,865.30469,865.52794,866.21997,866.81583,869.33350,869.33351,871.73471,871.79186, 871.84867,873.16943,874.32746,874.32746,874.74450,877.63194,
    5114             :       877.63194,882.24984,882.76712,883.61220,884.66737,884.66737,884.87761,885.21409,886.73429,887.42679,887.42679,891.26568, 893.96475,893.96475,896.15180,896.26560,897.75858,898.81674,
    5115             :       898.88440,898.88440,899.18079,899.80532,900.16980,900.43089,902.26090,902.26090,903.33089,904.67893,905.12150,906.57671, 907.60857,908.41871,909.26076,909.26077,909.59440,909.59440,
    5116             :       911.81582,911.92770,911.92770,912.25910,916.59917,918.57770,918.57770,920.45575,920.66739,922.76227,923.42628,923.42628, 924.57204,924.97667,926.87270,926.87270,928.04806,929.51177,
    5117             :       930.03271,930.32889,930.35232,933.28978,933.30407,933.83728,933.83728,934.18307,934.18307,936.41929,936.41929,936.82059, 937.28891,941.57305,942.80802,943.17358,943.17358,944.68419,
    5118             :       944.85034,945.05502,946.58320,946.59550,947.95469,947.95469,948.80841,951.01888,951.45973,951.46838,951.46838,951.55227, 952.42083,953.10490,958.39831,958.39831,958.75731,958.75731,
    5119             :       959.29366,959.38668,959.38668,959.59763,960.66907,960.90317,960.90317,961.50530,965.47152,966.22916,966.35435,966.47585, 967.75358,967.75358,968.81314,969.43174,969.72462,970.32930,
    5120             :       972.47115,972.47115,972.69306,974.02467,975.30674,975.86298,976.04891,976.04891,978.36493,979.26244,982.94520,982.94520, 983.31793,983.31793,983.42658,983.85357,983.85357,985.38079,
    5121             :       985.38079,986.38869,986.39509,987.93415,988.28893,989.14104,990.60603,990.77758,991.43585,991.94190,992.31510,992.31885, 992.31885,992.47661,992.81333,993.37843,993.80363,993.97511,
    5122             :       994.59089,995.50114,995.91977,996.88667,996.97711,996.97711,997.05739,997.33479,998.17182,998.62374,998.65962,998.74226, 998.80826};
    5123             : 
    5124             :     static const double flin[1363]={
    5125             :        .433E+01, .308E+01, .826E+01, .447E+01, .209E+01, .826E+01, .703E+01, .150E+01, .578E+01, .568E+01, .159E+01, .303E+01, .688E+01, .138E+01, .303E+01, .311E+01, .562E+01, .104E+01,
    5126             :        .706E+01, .433E+01, .164E+01, .549E+01, .685E+01, .844E+01, .328E+01, .459E+01, .808E+01, .124E+01, .116E+01, .131E+01, .177E+01, .107E+01, .311E+01, .721E+01, .845E+01, .807E+01,
    5127             :        .412E+01, .294E+01, .594E+01, .137E+01, .454E+01, .127E+01, .980E+00, .178E+01, .244E+01, .216E+01, .141E+01, .587E+01, .669E+01, .308E+01, .279E+01, .894E+00, .418E+01, .544E+01,
    5128             :        .512E+00, .469E+01, .193E+01, .143E+01, .725E+01, .667E+01, .284E+01, .302E+01, .812E+00, .530E+01, .789E+01, .209E+01, .116E+01, .737E+01, .609E+01, .142E+01, .788E+01, .293E+01,
    5129             :        .354E+01, .146E+01, .225E+01, .391E+01, .735E+00, .282E+01, .277E+01, .478E+01, .401E+01, .240E+01, .270E+01, .475E+01, .256E+01, .526E+01, .649E+01, .281E+01, .139E+01, .271E+01,
    5130             :        .606E+01, .255E+01, .648E+01, .665E+00, .742E+01, .107E+01, .622E+01, .510E+01, .769E+01, .753E+01, .132E+01, .483E+01, .769E+01, .383E+01, .229E+01, .117E+01, .255E+01, .341E+01,
    5131             :        .370E+01, .602E+00, .507E+01, .382E+01, .150E+01, .629E+01, .248E+01, .122E+01, .343E+01, .629E+01, .487E+01, .321E+01, .496E+01, .434E+01, .634E+01, .231E+01, .625E+01, .520E+01,
    5132             :        .990E+00, .769E+01, .750E+01, .489E+01, .247E+01, .760E+01, .749E+01, .600E+01, .545E+00, .239E+01, .365E+01, .109E+01, .672E+01, .487E+01, .100E+01, .487E+01, .893E+00, .410E+01,
    5133             :        .349E+01, .609E+01, .736E+01, .645E+01, .266E+01, .609E+01, .494E+00, .410E+01, .790E+01, .932E+00, .485E+01, .208E+01, .783E+01, .220E+01, .917E+00, .363E+01, .730E+01, .729E+01,
    5134             :        .469E+01, .345E+01, .518E+01, .643E+01, .836E+01, .777E+01, .150E+01, .287E+01, .467E+01, .480E+01, .653E+01, .633E+00, .483E+01, .328E+01, .589E+01, .755E+00, .871E+01, .450E+00,
    5135             :        .589E+01, .308E+01, .472E+01, .201E+01, .796E+01, .325E+01, .709E+01, .185E+01, .852E+00, .897E+01, .709E+01, .201E+01, .448E+01, .330E+01, .461E+01, .441E+01, .660E+01, .409E+01,
    5136             :        .447E+01, .563E+00, .447E+01, .352E+01, .830E+01, .830E+01, .661E+01, .794E+01, .411E+00, .541E+01, .915E+01, .390E+00, .568E+01, .431E+01, .373E+01, .306E+01, .560E+01, .180E+01,
    5137             :        .568E+01, .413E+01, .394E+01, .808E+01, .253E+01, .304E+01, .689E+01, .665E+01, .689E+01, .162E+01, .361E+00, .924E+01, .427E+01, .794E+00, .426E+01, .809E+01, .376E+00, .809E+01,
    5138             :        .159E+01, .548E+01, .458E+01, .172E+00, .284E+01, .474E+01, .547E+01, .307E+01, .819E+01, .811E+01, .926E+01, .642E+01, .667E+01, .680E+01, .283E+01, .164E+00, .564E+01, .668E+01,
    5139             :        .668E+01, .139E+01, .405E+01, .405E+01, .743E+00, .347E+00, .789E+01, .923E+01, .789E+01, .667E+01, .137E+01, .363E+01, .526E+01, .526E+01, .262E+01, .261E+01, .129E+02, .729E+01,
    5140             :        .119E+02, .139E+02, .511E+01, .108E+02, .149E+02, .973E+01, .647E+01, .647E+01, .158E+02, .664E+01, .827E+01, .509E+01, .869E+01, .116E+01, .384E+01, .915E+01, .383E+01, .165E+02,
    5141             :        .423E+01, .769E+01, .698E+01, .115E+01, .768E+01, .673E+01, .768E+01, .321E+00, .589E+01, .172E+02, .584E+01, .505E+01, .699E+00, .658E+01, .505E+01, .239E+01, .500E+01, .178E+02,
    5142             :        .239E+01, .422E+01, .905E+01, .819E+01, .486E+01, .626E+01, .626E+01, .349E+01, .182E+02, .649E+01, .937E+00, .362E+01, .362E+01, .280E+01, .568E+01, .933E+00, .215E+01, .747E+01,
    5143             :        .747E+01, .843E+01, .152E+01, .853E+00, .298E+00, .185E+02, .638E+01, .484E+01, .547E+01, .483E+01, .217E+01, .833E+00, .217E+01, .553E+01, .718E+01, .145E+01, .892E+01, .659E+00,
    5144             :        .200E+01, .623E+01, .616E+01, .605E+01, .605E+01, .187E+02, .251E+01, .913E+01, .716E+00, .340E+01, .340E+01, .299E+01, .714E+00, .345E+01, .726E+01, .726E+01, .624E+01, .462E+01,
    5145             :        .188E+02, .629E+01, .462E+01, .388E+01, .194E+01, .278E+00, .880E+01, .194E+01, .429E+01, .583E+01, .583E+01, .502E+00, .588E+01, .317E+01, .101E+02, .501E+00, .317E+01, .467E+01,
    5146             :        .699E+01, .625E+00, .188E+02, .738E+01, .705E+01, .705E+01, .150E+01, .503E+01, .149E+01, .440E+01, .440E+01, .644E+01, .867E+01, .172E+01, .172E+01, .261E+00, .537E+01, .778E+01,
    5147             :        .188E+02, .695E+01, .562E+01, .562E+01, .302E+00, .302E+00, .295E+01, .295E+01, .111E+02, .568E+01, .167E+01, .683E+01, .683E+01, .594E+00, .163E+01, .238E+02, .418E+01, .418E+01,
    5148             :        .248E+02, .227E+02, .855E+01, .862E+01, .149E+01, .149E+01, .596E+01, .633E+01, .257E+02, .186E+02, .215E+02, .804E+01, .804E+01, .203E+02, .266E+02, .759E+01, .246E+00, .540E+01,
    5149             :        .540E+01, .191E+02, .126E+00, .126E+00, .272E+02, .622E+01, .273E+01, .273E+01, .179E+02, .675E+01, .188E+01, .121E+02, .766E+01, .950E+01, .278E+02, .662E+01, .662E+01, .167E+02,
    5150             :        .184E+02, .645E+01, .396E+01, .396E+01, .127E+01, .127E+01, .845E+01, .179E+01, .282E+02, .155E+02, .783E+01, .783E+01, .518E+01, .518E+01, .144E+02, .104E+02, .666E+01, .250E+01,
    5151             :        .250E+01, .211E+01, .233E+00, .285E+02, .681E+01, .134E+02, .131E+02, .182E+02, .640E+01, .640E+01, .373E+01, .373E+01, .105E+01, .781E+01, .105E+01, .685E+01, .836E+01, .124E+02,
    5152             :        .842E+01, .195E+01, .286E+02, .761E+01, .761E+01, .114E+02, .708E+01, .236E+01, .115E+02, .496E+01, .496E+01, .228E+01, .228E+01, .702E+01, .106E+02, .180E+02, .286E+02, .618E+01,
    5153             :        .618E+01, .142E+02, .222E+00, .984E+01, .123E+02, .836E+00, .351E+01, .836E+00, .351E+01, .828E+01, .262E+01, .717E+01, .908E+01, .740E+01, .740E+01, .733E+01, .209E+01, .836E+01,
    5154             :        .474E+01, .474E+01, .923E+01, .285E+02, .205E+01, .205E+01, .768E+01, .805E+01, .133E+02, .177E+02, .703E+01, .730E+01, .596E+01, .596E+01, .152E+02, .640E+01, .290E+01, .628E+00,
    5155             :        .628E+00, .328E+01, .328E+01, .578E+01, .744E+01, .212E+00, .519E+01, .822E+01, .460E+01, .718E+01, .718E+01, .284E+02, .401E+01, .343E+01, .284E+01, .223E+01, .159E+01, .884E+00,
    5156             :        .883E+00, .159E+01, .223E+01, .284E+01, .342E+01, .400E+01, .451E+01, .451E+01, .456E+01, .742E+01, .221E+01, .513E+01, .183E+01, .183E+01, .569E+01, .349E+02, .338E+02, .143E+02,
    5157             :        .625E+01, .358E+02, .326E+02, .681E+01, .319E+01, .737E+01, .366E+02, .313E+02, .792E+01, .175E+02, .101E+02, .574E+01, .574E+01, .790E+01, .846E+01, .163E+02, .373E+02, .431E+00,
    5158             :        .431E+00, .300E+02, .306E+01, .306E+01, .899E+01, .281E+02, .752E+01, .952E+01, .287E+02, .696E+01, .696E+01, .379E+02, .817E+01, .203E+00, .153E+02, .100E+02, .349E+01, .429E+01,
    5159             :        .429E+01, .161E+01, .161E+01, .831E+01, .273E+02, .105E+02, .382E+02, .229E+01, .110E+02, .783E+01, .760E+01, .552E+01, .552E+01, .260E+02, .173E+02, .173E+02, .252E+00, .252E+00,
    5160             :        .283E+01, .283E+01, .278E+02, .115E+02, .381E+01, .164E+02, .110E+02, .674E+01, .674E+01, .247E+02, .119E+02, .813E+01, .407E+01, .407E+01, .851E+01, .139E+01, .139E+01, .768E+01,
    5161             :        .195E+00, .123E+02, .234E+02, .415E+01, .529E+01, .529E+01, .101E+00, .101E+00, .183E+02, .127E+02, .261E+01, .261E+01, .174E+02, .235E+01, .275E+02, .171E+02, .222E+02, .652E+01,
    5162             :        .652E+01, .774E+01, .250E+01, .250E+01, .859E+01, .131E+02, .451E+01, .384E+01, .384E+01, .117E+01, .117E+01, .811E+01, .211E+02, .119E+02, .826E+01, .774E+01, .774E+01, .134E+02,
    5163             :        .189E+00, .184E+02, .507E+01, .507E+01, .194E+02, .200E+02, .238E+01, .238E+01, .272E+02, .490E+01, .916E+01, .779E+01, .137E+02, .169E+02, .630E+01, .630E+01, .261E+01, .261E+01,
    5164             :        .236E+01, .190E+02, .362E+01, .362E+01, .958E+00, .958E+00, .809E+01, .752E+01, .752E+01, .140E+02, .532E+01, .194E+02, .180E+02, .129E+02, .485E+01, .485E+01, .784E+01, .204E+02,
    5165             :        .216E+01, .216E+01, .182E+00, .143E+02, .268E+02, .171E+02, .890E+01, .576E+01, .607E+01, .607E+01, .277E+01, .277E+01, .168E+02, .873E+01, .339E+01, .339E+01, .754E+00, .754E+00,
    5166             :        .163E+02, .205E+02, .807E+01, .730E+01, .730E+01, .145E+02, .788E+01, .987E+01, .235E+01, .624E+01, .155E+02, .462E+01, .462E+01, .215E+02, .194E+01, .194E+01, .139E+02, .147E+02,
    5167             :        .148E+02, .177E+00, .295E+01, .585E+01, .585E+01, .265E+02, .295E+01, .675E+01, .215E+02, .140E+02, .317E+01, .317E+01, .559E+00, .559E+00, .791E+01, .167E+02, .708E+01, .708E+01,
    5168             :        .133E+02, .807E+01, .150E+02, .225E+02, .126E+02, .440E+01, .440E+01, .731E+01, .172E+01, .172E+01, .120E+02, .923E+01, .340E+02, .924E+01, .113E+02, .315E+01, .230E+01, .563E+01,
    5169             :        .563E+01, .314E+01, .106E+02, .225E+02, .107E+02, .794E+01, .149E+02, .151E+02, .377E+00, .377E+00, .294E+01, .294E+01, .790E+01, .171E+00, .101E+02, .262E+02, .947E+01, .887E+01,
    5170             :        .326E+02, .685E+01, .685E+01, .828E+01, .166E+02, .769E+01, .710E+01, .806E+01, .653E+01, .100E+02, .106E+02, .943E+01, .112E+02, .884E+01, .826E+01, .118E+02, .595E+01, .768E+01,
    5171             :        .710E+01, .235E+02, .537E+01, .652E+01, .124E+02, .594E+01, .479E+01, .537E+01, .420E+01, .479E+01, .420E+01, .360E+01, .360E+01, .299E+01, .299E+01, .130E+02, .235E+01, .235E+01,
    5172             :        .167E+01, .167E+01, .908E+00, .908E+00, .417E+01, .417E+01, .136E+02, .142E+02, .150E+01, .150E+01, .854E+01, .148E+02, .153E+02, .154E+02, .313E+02, .235E+02, .160E+02, .796E+01,
    5173             :        .334E+01, .540E+01, .540E+01, .333E+01, .166E+02, .216E+00, .216E+00, .272E+01, .272E+01, .171E+02, .923E+01, .160E+02, .177E+02, .167E+00, .663E+01, .663E+01, .259E+02, .154E+02,
    5174             :        .300E+02, .245E+02, .182E+02, .806E+01, .223E+01, .165E+02, .114E+02, .395E+01, .395E+01, .129E+01, .129E+01, .996E+01, .187E+02, .979E+01, .799E+01, .245E+02, .354E+01, .288E+02,
    5175             :        .192E+02, .518E+01, .518E+01, .353E+01, .156E+02, .840E-01, .840E-01, .249E+01, .249E+01, .197E+02, .107E+02, .641E+01, .641E+01, .256E+02, .276E+02, .162E+00, .171E+02, .202E+02,
    5176             :        .806E+01, .372E+01, .372E+01, .800E+01, .108E+01, .108E+01, .256E+02, .164E+02, .116E+02, .374E+01, .157E+02, .206E+02, .266E+02, .495E+01, .495E+01, .371E+01, .227E+01, .227E+01,
    5177             :        .123E+02, .213E+01, .210E+02, .124E+02, .618E+01, .618E+01, .266E+02, .256E+02, .802E+01, .158E+02, .104E+02, .214E+02, .350E+01, .350E+01, .266E+02, .807E+01, .158E+00, .879E+00,
    5178             :        .879E+00, .181E+02, .741E+01, .741E+01, .394E+01, .133E+02, .164E+02, .246E+02, .473E+01, .473E+01, .217E+02, .389E+01, .205E+01, .205E+01, .158E+02, .276E+02, .596E+01, .596E+01,
    5179             :        .803E+01, .237E+02, .220E+02, .143E+02, .276E+02, .350E+01, .350E+01, .327E+01, .327E+01, .413E+01, .807E+01, .686E+00, .686E+00, .132E+02, .719E+01, .719E+01, .154E+00, .192E+02,
    5180             :        .228E+02, .201E+01, .223E+02, .450E+01, .450E+01, .163E+02, .159E+02, .406E+01, .153E+02, .184E+01, .184E+01, .220E+02, .286E+02, .804E+01, .110E+02, .573E+01, .573E+01, .286E+02,
    5181             :        .226E+02, .432E+01, .359E+01, .359E+01, .305E+01, .305E+01, .212E+02, .807E+01, .503E+00, .503E+00, .696E+01, .696E+01, .163E+02, .160E+02, .205E+02, .203E+02, .229E+02, .428E+01,
    5182             :        .428E+01, .162E+01, .162E+01, .421E+01, .163E+02, .197E+02, .296E+02, .141E+02, .805E+01, .452E+01, .296E+02, .551E+01, .551E+01, .173E+02, .190E+02, .372E+01, .372E+01, .231E+02,
    5183             :        .283E+01, .283E+01, .336E+00, .336E+00, .808E+01, .160E+02, .183E+02, .674E+01, .674E+01, .188E+01, .177E+02, .405E+01, .405E+01, .170E+02, .183E+02, .214E+02, .471E+01, .141E+01,
    5184             :        .141E+01, .806E+01, .233E+02, .306E+02, .117E+02, .163E+02, .435E+01, .306E+02, .163E+02, .157E+02, .528E+01, .528E+01, .151E+02, .389E+01, .389E+01, .161E+02, .201E+02, .144E+02,
    5185             :        .195E+02, .208E+02, .188E+02, .261E+01, .261E+01, .214E+02, .182E+02, .175E+02, .189E+00, .189E+00, .220E+02, .808E+01, .169E+02, .138E+02, .227E+02, .163E+02, .156E+02, .151E+02,
    5186             :        .652E+01, .652E+01, .132E+02, .233E+02, .150E+02, .144E+02, .194E+02, .235E+02, .126E+02, .138E+02, .239E+02, .120E+02, .132E+02, .126E+02, .490E+01, .114E+02, .120E+02, .108E+02,
    5187             :        .245E+02, .114E+02, .108E+02, .102E+02, .102E+02, .963E+01, .963E+01, .904E+01, .904E+01, .383E+01, .383E+01, .847E+01, .847E+01, .789E+01, .789E+01, .731E+01, .731E+01, .251E+02,
    5188             :        .673E+01, .673E+01, .615E+01, .615E+01, .556E+01, .556E+01, .807E+01, .497E+01, .497E+01, .437E+01, .437E+01, .375E+01, .375E+01, .311E+01, .311E+01, .244E+01, .244E+01, .172E+01,
    5189             :        .172E+01, .925E+00, .925E+00, .316E+02, .120E+01, .120E+01, .224E+02, .316E+02, .257E+02, .448E+01, .262E+02, .161E+02, .506E+01, .506E+01, .236E+02, .163E+02, .407E+01, .407E+01,
    5190             :        .204E+02, .268E+02, .239E+01, .239E+01, .509E+01, .720E-01, .720E-01, .809E+01, .175E+01, .629E+01, .629E+01, .273E+02, .808E+01, .125E+02, .361E+01, .361E+01, .278E+02, .327E+02,
    5191             :        .327E+02, .100E+01, .100E+01, .162E+02, .161E+02, .235E+02, .215E+02, .530E+01, .483E+01, .483E+01, .458E+01, .426E+01, .426E+01, .163E+02, .217E+01, .217E+01, .809E+01, .607E+01,
    5192             :        .607E+01, .808E+01, .551E+01, .337E+02, .338E+01, .338E+01, .337E+02, .225E+02, .162E+02, .812E+00, .812E+00, .246E+02, .461E+01, .461E+01, .445E+01, .445E+01, .573E+01, .810E+01,
    5193             :        .195E+01, .195E+01, .172E+02, .163E+02, .161E+01, .466E+01, .584E+01, .584E+01, .133E+02, .236E+02, .809E+01, .347E+02, .347E+02, .162E+02, .316E+01, .316E+01, .707E+01, .707E+01,
    5194             :        .596E+01, .629E+00, .629E+00, .283E-04, .256E+02, .438E+01, .438E+01, .465E+01, .465E+01, .810E+01, .174E+01, .174E+01, .246E+02, .621E+01, .562E+01, .562E+01, .810E+01, .357E+02,
    5195             :        .471E+01, .162E+02, .357E+02, .183E+02, .286E+02, .294E+01, .294E+01, .685E+01, .685E+01, .458E+00, .458E+00, .148E-03, .649E+01, .267E+02, .278E+02, .416E+01, .416E+01, .484E+01,
    5196             :        .257E+02, .484E+01, .141E+02, .810E+01, .153E+01, .153E+01, .678E+01, .810E+01, .270E+02, .539E+01, .539E+01, .147E+01, .367E+02, .367E+02, .272E+01, .272E+01, .662E+01, .662E+01,
    5197             :        .263E+02, .450E+01, .450E+01, .710E+01, .474E+01, .302E+00, .302E+00, .474E-03, .267E+02, .277E+02, .255E+02, .194E+02, .394E+01, .394E+01, .504E+01, .504E+01, .745E+01, .811E+01,
    5198             :        .133E+01, .133E+01, .248E+02, .811E+01, .377E+02, .377E+02, .517E+01, .517E+01, .241E+02, .783E+01, .250E+01, .250E+01, .640E+01, .640E+01, .234E+02, .457E+01, .457E+01, .839E-01,
    5199             :        .839E-01, .118E-02, .278E+02, .227E+02, .825E+01, .150E+02, .288E+02, .281E+02, .274E+02, .221E+02, .267E+02, .371E+01, .371E+01, .473E+01, .523E+01, .260E+02, .523E+01, .811E+01,
    5200             :        .254E+02, .214E+02, .247E+02, .870E+01, .113E+01, .113E+01, .811E+01, .240E+02, .387E+02, .387E+02, .207E+02, .205E+02, .233E+02};
    5201             : 
    5202             :     static const double el[1363]={
    5203             :       424.292,  287.709, 1543.708,  484.554,   70.647, 1543.513, 1124.609,  789.770,  771.538,  732.512,   11.284, 199.673, 1076.979,  832.364,  263.425,  312.612,  731.779,   7.045,
    5204             :       1124.536,  452.992,  747.709,  693.846, 1076.446,1600.115, 220.137,  516.433, 1487.264,  178.048,  198.427,  158.861, 58.753,  219.898,  338.689, 1172.866, 1600.063,  1487.044,
    5205             :       394.599,  240.098,  811.569,  140.769,  453.735,  875.898, 242.461,  706.857,   82.419,   15.885,  123.776,  771.431, 1029.719,  366.049,  179.328,  266.115,  422.410, 692.885,
    5206             :       3.504,  549.552,  667.216,  107.886, 1172.824,   1029.399, 218.016,  394.599,  290.962,  655.940, 1431.849,  628.790, 920.538, 1222.328,  852.818,   93.105, 1431.677,  424.344,
    5207             :       241.302,   47.982,  591.680,  366.035,  316.806,  455.291, 21.562,  583.814,  393.003,  555.687,  487.544,   484.426, 521.009,  655.182,  983.680,   95.264,   79.538,  196.986,
    5208             :       811.407,  160.229,  983.452,  343.849, 1222.182,  966.188, 895.288,  619.264, 1377.648, 1272.897,   66.992,  619.228, 1377.514,  364.876, 1467.466,   38.241,  177.113,  28.418,
    5209             :       338.714,  371.994,  618.673,  263.625,    1.186,  938.860, 3.516,   55.674,    7.009,  938.605,  655.899,    109.286, 516.165,   11.764,  938.883,  142.275,  852.636,   17.578,
    5210             :       1013.055, 1324.675, 1324.658,  583.817, 1409.916,1272.805, 1324.555,   24.549,  401.247,  158.404,  337.733,  45.490, 32.773,  693.834,    -.020,  583.360,   29.832,    36.357,
    5211             :       312.630,  895.257,   42.046,  983.708, 1353.578,  895.061, 431.511,  287.206,   52.565,   36.346,  732.940,  125.565, 1377.664,  140.863, 1060.947,  124.585, 1272.879,1272.800,
    5212             :       549.493,  311.877,  549.151,  895.015,   64.125, 1324.590, 1.175, 1298.357,  549.144,  773.225, 1029.768,     22.554, 45.485,  287.781,  852.768,   28.349,   76.922,   462.992,
    5213             :       852.619, 1244.454,  814.796,  124.495, 1431.869,  287.211, 1222.309,  110.095, 1109.969,   90.753, 1222.249,   3.504, 516.491, 1191.774,  857.660,  311.849, 1076.968,  140.864,
    5214             :       516.227,   21.603,  901.623, 1140.316, 1657.686, 1657.662, 938.640, 1377.534,  495.496,  583.383,  105.716,   16.509, 811.592,  946.891, 1090.080,  264.061,   55.706,  109.304,
    5215             :       811.479,  993.371, 1041.166, 1487.191,    7.066,  263.637, 1172.848, 1125.414, 1172.802,   95.862,   15.812, 121.908, 484.608, 1160.030,  484.411, 1600.133,  529.128, 1600.116,
    5216             :       95.294,  771.528,  158.426,   11.697,  241.567,   337.757, 771.443,   11.760, 1543.735, 1431.731,  139.029,   67.024, 1175.113,  983.408,  241.257,   11.281,  618.662,1124.594,
    5217             :       1124.559,   82.763,  453.940,  453.795, 1211.237, 563.895, 1543.687,  157.379, 1543.673, 1225.970,   82.368,  17.583, 732.574,  732.511,  220.296,  220.173,  168.063,   79.546,
    5218             :       148.938,  188.435,  177.175,  130.965,  209.949,  114.151, 1077.547, 1077.521,  232.598, 1277.993, 1486.979, 364.834, 98.504,   70.893,  424.386,  176.860,  424.280,   256.380,
    5219             :       24.633,   84.030, 1029.319,   70.629, 1488.445,    70.837, 1488.435,  599.704,  655.191,  281.389,   58.734, 694.928, 1263.598, 1331.289,  694.882,  200.243,   47.927, 307.424,
    5220             :       200.087,   38.323,  197.375,   93.174,   32.806, 1031.606, 1031.587,   29.830,  334.679, 1385.765,   60.248, 396.144, 396.068,   22.554,  197.013,   60.080,   16.598, 1434.408,
    5221             :       1434.401, 1543.473,   11.669,    8.069,  636.662, 363.054, 1441.528,  658.391,  393.082,  658.358,  181.407,   7.862, 181.299,   42.099, 1076.470,   11.257,  218.929, 1317.021,
    5222             :       15.817, 1498.485,  692.872,  986.971,  986.957,   392.546, 21.542,  107.914,   50.823,  369.012,  368.958,    28.332, 50.722,   36.385, 1381.476, 1381.470,   52.506,   623.061,
    5223             :       423.054,  217.945,  623.037,   45.403,  163.683,  674.676, 241.626,  163.612,   55.683,  943.442,  943.432,   42.615, 422.407,  343.089,  123.768,   42.559,  343.052,   67.028,
    5224             :       64.124, 1371.515,  454.779, 1124.762, 1329.847,  1329.843, 5.650,   79.535,    5.580,  588.937,  588.920,    731.808, 265.474,  147.271,  147.224,  713.855,   93.105,   76.947,
    5225             :       487.522,  240.074,  901.117,  901.110,   35.519,   35.490, 318.373,  318.348,  140.740,  107.837,    8.045, 1279.323, 1279.320, 1427.087,    7.833,  574.630,  556.018, 556.006,
    5226             :       611.699,  538.587,  290.379,   90.771,  131.967,  131.938, 123.733,  453.011,  649.989,  521.385,  503.777, 1723.351, 1723.350,  470.205,  689.396, 1174.295,  754.105, 859.897,
    5227             :       859.892,  437.680,   29.631,   29.619,  730.016,  140.692, 294.864,  294.847,  406.409,  771.803,   11.674,  158.829, 263.406,  105.791,  771.646, 1230.003, 1230.001,  376.400,
    5228             :       556.371,  158.814,  524.205,  524.196,  117.770,  117.753, 316.349,   11.346,  814.483,  347.464, 1665.832, 1665.831, 819.981,  819.977,  319.808,  121.904,  178.100,  272.460,
    5229             :       272.449,   16.538,  795.434,  858.426,  484.699,  293.342, 178.038,  592.387, 1181.786, 1181.784,  493.696,  493.690, 104.879, 1224.971,  104.869,  198.451,  343.490,  268.074,
    5230             :       287.845,   15.817,  903.474, 1609.516, 1609.515,  139.106, 813.061,   22.537,  244.113,  781.168,  781.166,  251.361, 251.354,  219.867,  221.266,  629.537,  949.528, 1134.772,
    5231             :       1134.771,  198.467,  837.850,  199.739,  157.394,  93.093, 464.291,   93.087,  464.287,  371.611,   29.869,  242.449, 179.338, 1554.402, 1554.402,  517.577,   21.541,  160.166,
    5232             :       743.560,  743.558,  313.395,  996.789,  231.367,  231.362, 142.227, 1276.793,  176.768,  667.728,  125.520,  266.098, 1088.961, 1088.960,  219.915,  110.046,   38.236,  82.509,
    5233             :       82.507,  435.990,  435.987,   95.804,  855.487,   881.360, 82.791,  400.918,   70.903, 1500.392, 1500.391,  1045.060, 60.238,   50.792,   42.561,   35.541,   29.630,    24.925,
    5234             :       24.920,   29.618,   35.514,   42.506,   50.693,    60.074, 707.054,  707.053,   70.647,  290.916,   28.414,   82.411, 212.475,  212.473,   95.263, 1221.961, 1169.249,  197.325,
    5235             :       109.302, 1275.782, 1117.651,  124.525,   47.936,  140.931, 1330.708, 1067.274,  158.418,  707.068,  340.162,1044.353, 1044.353,  551.647,  177.083,  242.481, 1386.835,  73.129,
    5236             :       73.128, 1018.025,  408.992,  408.990,  196.924,  1094.444, 316.803,  217.941,  970.010, 1447.583, 1447.583, 1444.060, 431.317,  926.069,  218.966,  240.129,   58.769,  671.852,
    5237             :       671.851,  194.887,  194.885, 1329.763,  923.139,  263.390, 1502.382,   36.330,  287.819,  899.085,  343.862,1000.848, 1000.848,  877.421,  747.465,  266.164,   64.950,  64.950,
    5238             :       383.097,  383.096, 1144.846,  313.417,   70.834,  241.691, 367.949, 1395.978, 1395.978,  832.965,  340.082,  462.714, 637.752,  637.751,  586.816,  178.401,  178.400,  371.994,
    5239             :       971.784,  368.013,  789.681,   84.030,  958.546,  958.546, 57.873,   57.873,  290.962,  396.908,  358.405,   358.404, 265.401,   45.383, 1196.373,  788.927,  747.679, 1345.474,
    5240             :       1345.474,  401.200,   21.397,   21.396, 1383.986, 427.068, 98.455,  604.855,  604.854,  163.118,  163.117,   495.314, 706.769,  396.961,  943.760, 1798.134, 1798.134,  458.292,
    5241             :       1018.609,  290.397,  917.446,  917.446,  316.875, 667.160, 334.915,  334.914, 1249.031,  114.108,  623.189,  431.482, 490.680,  831.462, 1296.173, 1296.173,   24.923,   24.919,
    5242             :       55.668,  628.760,  573.060,  573.060,  149.036,   149.036, 529.020, 1740.733, 1740.733,  524.231,  130.888,  316.379, 591.677,  427.100,  877.548,  877.548,  462.942,  343.800,
    5243             :       312.627,  312.627, 1066.549,  558.846, 1302.727,  555.718, 1439.367,  148.891, 1248.074, 1248.074,   29.653,  29.641, 875.079,  989.719,  542.568,  542.567,  136.156,  136.156,
    5244             :       520.988,  343.450,  563.736, 1684.434, 1684.434,  594.525, 495.481,  660.669,   66.976,  168.116,  487.491,  838.752, 838.752,  371.936,  291.441,  291.441,  458.270,  455.329,
    5245             :       631.368, 1115.507,   35.488, 1201.076, 1201.076, 1357.472, 35.460,  188.459,  371.610,  424.304,  513.177,   513.177, 124.377,  124.377,  529.102,  919.885, 1629.337, 1629.337,
    5246             :       394.517,  599.662,  669.378,  401.183,  365.965,  801.158, 801.158,  209.917,  271.457,  271.457,  338.748, 1495.909, 1526.242, 1036.765,  312.562,   42.532,   79.503,1155.281,
    5247             :       1155.281,   42.474,  699.364,  400.861,  287.706, 563.905, 490.672,  708.453,  113.799,  113.799,  484.888,  484.888, 232.586, 1165.584,  264.076, 1413.273,  241.569,  220.282,
    5248             :       1467.448, 1575.341, 1575.341,  200.312,  965.686, 181.356, 163.713,  636.601,  147.180,  263.679,  287.178,  241.276, 311.871,  220.070,  200.062,  337.756,  131.954,  181.253,
    5249             :       163.644,  431.537,  117.836,  147.135,  364.833,  131.926, 104.822,  117.818,   93.112,  104.812,   93.107,   82.505, 82.503,   73.101,   73.100,  392.999,   64.898,    64.898,
    5250             :       57.897,   57.896,   51.996,   51.996,  764.766,   764.766, 422.451,  452.990,  252.675,  252.675,  256.363,  484.711, 748.596,  517.613, 1409.930,  431.304,  551.595,  599.693,
    5251             :       50.787, 1110.687, 1110.687,   50.683,  586.853,   104.422, 104.422,  457.902,  457.902,  623.187,  281.343,  524.207, 660.694, 1216.782, 1522.547, 1522.547, 1470.140,  789.907,
    5252             :       1353.497,  462.999,  699.372,  674.653,   93.142,1012.589, 739.177,  729.476,  729.476,  234.994,  234.994,  307.421, 739.220, 1085.005,  636.667,  462.740,   60.257, 1298.361,
    5253             :       780.137, 1067.295, 1067.295,   60.084,  832.389,   96.146, 96.146,  432.016,  432.016,  822.220,  334.692,  1470.955, 1470.955,  495.468, 1244.429, 1269.102,  558.776, 865.470,
    5254             :       713.818,  695.388,  695.388,  674.729,  218.614,  218.614, 495.371, 1060.599,  363.053,   70.946,  875.842,  909.784, 1191.711, 1025.005, 1025.005,   70.675,  407.432, 407.432,
    5255             :       780.115,  107.887,  955.262,  392.498, 1420.564, 1420.564, 529.142, 1140.314,  713.880,  920.468, 1134.344, 1001.905, 662.501,  662.501,  528.997,  753.995, 1322.544,  203.335,
    5256             :       203.335,  594.577, 1881.863, 1881.863,   82.760,  423.025, 1109.619, 1090.045,  983.916,  983.915, 1049.610,  82.353, 383.850,  383.850,  966.169,  563.920, 1371.274, 1371.274,
    5257             :       754.121, 1041.108, 1098.479,  454.728,  563.719,   47.295, 47.295,  630.815,  630.815,   95.802,  795.385,   189.157, 189.157,  822.181, 1824.374, 1824.374, 1377.007,  631.410,
    5258             :       993.408,  123.735, 1148.511,  943.928,  943.928, 1159.753, 1013.046,   95.215,  487.507,  361.568,  361.568, 946.846, 599.702,  795.453, 1184.889, 1323.186, 1323.186,  599.637,
    5259             :       1199.607,  110.077,   52.020,   52.019,  600.330, 600.330, 901.624,  837.785,  176.279,  176.279, 1768.186, 1768.186, 521.359, 1060.901,  857.642,  669.374, 1251.768,  905.241,
    5260             :       905.241,  340.388,  340.388,  109.257, 1211.003,  814.798, 636.688,  865.380,  837.878,  125.588,  636.552, 1276.198, 1276.198,  556.382,  773.293,   57.845,   57.845,1305.093,
    5261             :       570.947,  570.947,  164.503,  164.503,  881.396, 1109.936, 732.922, 1713.099, 1713.099,  140.682,  693.785,  867.656, 867.656,  655.877,  592.376,  708.466,  142.241,  320.408,
    5262             :       320.408,  881.396, 1359.484,  674.677, 1236.644,  619.197, 124.477,  674.666, 1263.371,  583.741, 1230.512, 1230.512, 549.506,   64.870,   64.870, 1160.053,  855.493,  516.391,
    5263             :       813.090,  898.984,  771.777,  542.765,  542.765,  943.762, 731.756,  692.929,  153.926,  153.926,  989.724,  926.017, 655.197,  484.592, 1036.769,  618.662,  583.324,  909.816,
    5264             :       1659.113, 1659.113,  453.908, 1084.994,  549.186, 516.147, 629.542, 1415.041,  424.436,  484.409, 1134.398,  396.076, 453.772,  424.337,  160.136,  369.024,  396.004,  343.081,
    5265             :       1184.978,  368.973,  343.046,  318.345,  318.321, 294.815, 294.798,  272.490,  272.479,  831.272,  831.272,  251.269, 251.262,  231.352,  231.347,  212.538,  212.535, 1236.633,
    5266             :       194.827,  194.825,  178.418,  178.417,  163.111,  163.110, 926.010,  149.005,  149.005,  136.101,  136.101,  124.398, 124.398,  113.796,  113.796,  104.395,  104.395,   96.194,
    5267             :       96.194,   89.094,   89.094,  713.868,  301.629,   301.629, 748.584,  713.777, 1289.460,  140.868, 1343.458, 1211.252, 1185.927, 1185.927, 1471.667, 1316.856,   73.097,  73.096,
    5268             :       667.780, 1398.626,  515.684,  515.684,  179.277,  144.550, 144.550,  971.746,  158.824, 1606.428, 1606.428, 1454.862, 971.718, 1289.516,  795.989,  795.989, 1512.264,  754.062,
    5269             :       754.087,  284.051,  284.051,  955.291, 1263.537,  789.926, 707.093,  199.664, 1142.443, 1142.443,  158.428,   82.525, 82.522, 1371.359,  489.903,  489.903, 1018.583,  1554.845,
    5270             :       1554.845, 1018.523,  221.298,  795.457,  762.007, 762.007, 795.396,  747.480, 1317.007,  267.574,  267.574,  832.290, 1100.260, 1100.260,   93.055,   93.049,  244.078,1066.527,
    5271             :       465.224,  465.224, 1001.909, 1426.979,  178.062,  177.149, 1504.361, 1504.361, 1343.510,  788.945, 1066.524, 837.854, 837.805, 1371.466,  729.125,  729.125, 1974.209, 1974.209,
    5272             :       268.103,  252.297,  252.297,    3.481,  875.873, 1059.178, 1059.178,  104.888,  104.877, 1115.477,  441.745, 441.745, 831.490,  293.370, 1455.079, 1455.079, 1115.523,  881.353,
    5273             :       196.928, 1427.013,  881.412, 1049.671, 1556.670,  697.445, 697.445, 1916.828, 1916.828,  238.221,  238.221,    7.001, 319.779,  920.473, 1498.514, 1019.196, 1019.196,  117.824,
    5274             :       875.116,  117.806, 1398.633, 1165.632,  419.367,  419.367, 347.526, 1165.619, 1441.498, 1406.998, 1406.998,  198.394, 926.052,  926.019,  666.865,  666.865, 1860.548, 1860.548,
    5275             :       1385.822,   83.218,   83.218,  376.307,  217.956, 225.345, 225.345,   11.716,  919.825,  966.189, 1331.283, 1098.477, 980.516,  980.516,  131.865,  131.835,  406.421, 1216.792,
    5276             :       398.289,  398.289, 1277.978, 1216.814,  971.753,  971.726, 1360.117, 1360.117, 1225.906,  437.663,  637.486, 637.486, 1805.568, 1805.568, 1175.063,   89.142,   89.142, 213.569,
    5277             :       213.569,   17.521,  965.620, 1125.446,  470.129, 1454.888, 1013.018, 1553.610, 1495.878, 1076.954, 1439.336, 942.936, 942.936,  240.028,  147.212, 1383.985,  147.164, 1269.056,
    5278             :       1329.827, 1029.683, 1276.763,  503.816,  378.312, 378.312, 1269.108, 1224.895, 1018.555, 1018.533, 983.731, 1148.427, 1174.224};
    5279             : 
    5280             :     static const double texpO3[1363] ={
    5281             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.78, 0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.82,0.81,0.81,0.76, 0.78,0.76,0.76,0.78,0.78,0.78,0.77,0.78,0.76,0.76,0.76,0.76,
    5282             :       0.79,0.76,0.78,0.78,0.79,0.76,0.76,0.76,0.77,0.76,0.77,0.81, 0.76,0.76,0.78,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.76, 0.76,0.76,0.76,0.81,0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.76,
    5283             :       0.78,0.77,0.76,0.79,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.80, 0.76,0.76,0.76,0.77,0.77,0.78,0.82,0.78,0.76,0.76,0.76,0.76, 0.76,0.80,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.77,0.78,0.77,
    5284             :       0.79,0.76,0.76,0.78,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.77, 0.80,0.76,0.76,0.77,0.82,0.76,0.76,0.76,0.76,0.80,0.76,0.76, 0.76,0.76,0.76,0.78,0.76,0.77,0.77,0.76,0.76,0.76,0.76,0.77,
    5285             :       0.79,0.76,0.77,0.76,0.76,0.76,0.76,0.79,0.77,0.77,0.76,0.77, 0.76,0.77,0.76,0.77,0.76,0.76,0.80,0.79,0.80,0.82,0.77,0.76, 0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.78,0.76,0.76,0.77,0.76,
    5286             :       0.76,0.76,0.76,0.77,0.76,0.78,0.76,0.77,0.76,0.77,0.76,0.76, 0.80,0.76,0.76,0.79,0.76,0.78,0.76,0.76,0.76,0.76,0.76,0.76, 0.82,0.76,0.76,0.80,0.77,0.76,0.76,0.76,0.76,0.78,0.77,0.77,
    5287             :       0.76,0.76,0.76,0.76,0.76,0.78,0.76,0.76,0.76,0.77,0.76,0.77, 0.79,0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.78,0.76,0.78,0.79, 0.76,0.76,0.76,0.76,0.78,0.77,0.76,0.83,0.78,0.76,0.81,0.76,
    5288             :       0.76,0.77,0.79,0.79,0.76,0.76,0.76,0.78,0.76,0.76,0.77,0.76, 0.76,0.76,0.78,0.78,0.78,0.77,0.78,0.78,0.78,0.77,0.78,0.77, 0.76,0.76,0.78,0.76,0.76,0.79,0.77,0.77,0.79,0.76,0.79,0.79,
    5289             :       0.77,0.77,0.83,0.77,0.76,0.77,0.76,0.76,0.81,0.76,0.77,0.81, 0.76,0.76,0.76,0.78,0.77,0.76,0.78,0.77,0.76,0.77,0.77,0.76, 0.76,0.76,0.76,0.76,0.77,0.79,0.79,0.76,0.78,0.77,0.76,0.76,
    5290             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.80,0.79,0.80,0.78,0.76, 0.78,0.77,0.83,0.76,0.76,0.76,0.76,0.76,0.81,0.76,0.76,0.76, 0.76,0.77,0.77,0.79,0.79,0.76,0.77,0.77,0.76,0.76,0.77,0.80,
    5291             :       0.79,0.78,0.80,0.77,0.77,0.76,0.76,0.77,0.77,0.76,0.76,0.76, 0.79,0.79,0.78,0.76,0.79,0.77,0.77,0.76,0.80,0.83,0.76,0.76, 0.76,0.77,0.76,0.80,0.80,0.81,0.76,0.77,0.77,0.76,0.77,0.77,
    5292             :       0.80,0.78,0.76,0.76,0.76,0.76,0.78,0.78,0.78,0.77,0.76,0.76, 0.76,0.76,0.76,0.76,0.80,0.80,0.76,0.76,0.76,0.77,0.77,0.77, 0.77,0.80,0.76,0.80,0.76,0.76,0.76,0.76,0.76,0.84,0.76,0.81,
    5293             :       0.81,0.76,0.76,0.76,0.76,0.78,0.78,0.78,0.76,0.82,0.76,0.78, 0.79,0.77,0.76,0.76,0.76,0.79,0.80,0.76,0.79,0.79,0.77,0.77, 0.76,0.76,0.76,0.79,0.76,0.76,0.81,0.81,0.79,0.78,0.76,0.78,
    5294             :       0.78,0.76,0.76,0.76,0.80,0.79,0.78,0.76,0.83,0.83,0.79,0.79, 0.77,0.84,0.77,0.76,0.76,0.78,0.79,0.76,0.76,0.76,0.76,0.78, 0.82,0.76,0.78,0.81,0.81,0.78,0.78,0.76,0.78,0.76,0.76,0.83,
    5295             :       0.83,0.78,0.76,0.78,0.78,0.77,0.79,0.77,0.77,0.76,0.77,0.76, 0.78,0.76,0.76,0.76,0.76,0.78,0.81,0.81,0.76,0.76,0.78,0.78, 0.77,0.76,0.78,0.76,0.77,0.76,0.82,0.82,0.78,0.77,0.77,0.77,
    5296             :       0.77,0.79,0.79,0.77,0.76,0.76,0.77,0.76,0.77,0.76,0.76,0.76, 0.77,0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.77, 0.80,0.80,0.77,0.76,0.77,0.77,0.78,0.78,0.77,0.76,0.76,0.78,
    5297             :       0.77,0.76,0.76,0.77,0.77,0.77,0.76,0.76,0.78,0.76,0.76,0.82, 0.82,0.76,0.78,0.79,0.76,0.77,0.77,0.76,0.79,0.79,0.78,0.76, 0.76,0.78,0.76,0.84,0.84,0.76,0.76,0.76,0.78,0.78,0.77,0.80,
    5298             :       0.80,0.77,0.77,0.76,0.76,0.78,0.76,0.77,0.79,0.76,0.76,0.82, 0.82,0.76,0.76,0.79,0.76,0.76,0.79,0.79,0.76,0.79,0.77,0.79, 0.76,0.84,0.84,0.76,0.79,0.76,0.80,0.80,0.76,0.77,0.77,0.76,
    5299             :       0.76,0.79,0.76,0.77,0.82,0.82,0.76,0.76,0.79,0.79,0.78,0.78, 0.79,0.77,0.76,0.76,0.76,0.83,0.76,0.76,0.76,0.76,0.76,0.79, 0.77,0.80,0.80,0.77,0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.80,
    5300             :       0.76,0.79,0.81,0.81,0.79,0.81,0.78,0.78,0.76,0.77,0.76,0.76, 0.80,0.76,0.76,0.76,0.76,0.76,0.77,0.81,0.79,0.79,0.77,0.77, 0.76,0.76,0.76,0.76,0.78,0.79,0.80,0.76,0.81,0.81,0.76,0.79,
    5301             :       0.78,0.78,0.76,0.76,0.76,0.80,0.76,0.78,0.76,0.76,0.76,0.76, 0.76,0.76,0.79,0.79,0.77,0.77,0.80,0.79,0.76,0.76,0.76,0.76, 0.76,0.76,0.77,0.78,0.80,0.81,0.76,0.79,0.78,0.78,0.76,0.79,
    5302             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.78,0.79,0.79,0.79,0.79, 0.77,0.77,0.76,0.76,0.76,0.76,0.79,0.76,0.76,0.80,0.79,0.81, 0.76,0.78,0.78,0.78,0.79,0.76,0.76,0.76,0.79,0.77,0.77,0.76,
    5303             :       0.76,0.77,0.76,0.80,0.78,0.76,0.76,0.76,0.77,0.77,0.79,0.79, 0.78,0.76,0.78,0.76,0.78,0.78,0.76,0.76,0.76,0.78,0.76,0.78, 0.77,0.76,0.77,0.78,0.78,0.78,0.79,0.78,0.78,0.79,0.77,0.78,
    5304             :       0.77,0.80,0.77,0.77,0.79,0.77,0.77,0.77,0.77,0.77,0.77,0.77, 0.77,0.77,0.77,0.79,0.79,0.76,0.76,0.76,0.76,0.76,0.76,0.76, 0.79,0.76,0.78,0.78,0.79,0.76,0.76,0.76,0.76,0.80,0.76,0.76,
    5305             :       0.77,0.76,0.76,0.77,0.76,0.77,0.77,0.79,0.79,0.76,0.79,0.76, 0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.80,0.76,0.76,0.77,0.76, 0.76,0.76,0.76,0.77,0.77,0.79,0.76,0.76,0.76,0.80,0.77,0.76,
    5306             :       0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.79,0.79,0.76,0.79,0.76, 0.76,0.80,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.77, 0.76,0.76,0.79,0.77,0.76,0.76,0.76,0.76,0.76,0.77,0.78,0.78,
    5307             :       0.76,0.77,0.76,0.79,0.76,0.76,0.81,0.76,0.76,0.76,0.76,0.82, 0.76,0.76,0.76,0.76,0.76,0.77,0.77,0.76,0.76,0.76,0.77,0.80, 0.76,0.83,0.76,0.76,0.76,0.77,0.78,0.78,0.76,0.81,0.76,0.76,
    5308             :       0.76,0.83,0.76,0.80,0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.77, 0.77,0.76,0.76,0.76,0.76,0.76,0.83,0.78,0.76,0.76,0.76,0.76, 0.76,0.77,0.80,0.78,0.78,0.82,0.76,0.76,0.76,0.76,0.76,0.76,
    5309             :       0.76,0.77,0.76,0.76,0.76,0.76,0.82,0.76,0.77,0.77,0.76,0.76, 0.80,0.76,0.82,0.76,0.76,0.76,0.76,0.78,0.78,0.77,0.76,0.82, 0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.81,0.81,0.76,0.76,0.76,
    5310             :       0.76,0.76,0.77,0.77,0.76,0.76,0.81,0.76,0.76,0.78,0.81,0.76, 0.76,0.81,0.81,0.76,0.78,0.78,0.78,0.76,0.76,0.76,0.76,0.80, 0.77,0.76,0.76,0.80,0.76,0.76,0.80,0.77,0.77,0.76,0.76,0.80,
    5311             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.77,0.76,0.76, 0.76,0.79,0.76,0.80,0.80,0.76,0.76,0.76,0.79,0.76,0.80,0.80, 0.76,0.76,0.79,0.79,0.76,0.79,0.78,0.79,0.78,0.79,0.79,0.79,
    5312             :       0.76,0.79,0.79,0.78,0.78,0.78,0.78,0.78,0.78,0.76,0.76,0.78, 0.78,0.78,0.78,0.78,0.78,0.76,0.77,0.77,0.77,0.77,0.77,0.77, 0.76,0.77,0.77,0.77,0.77,0.77,0.77,0.77,0.77,0.77,0.77,0.76,
    5313             :       0.76,0.76,0.76,0.76,0.78,0.78,0.76,0.76,0.76,0.78,0.76,0.76, 0.76,0.76,0.76,0.76,0.77,0.77,0.81,0.76,0.76,0.76,0.78,0.77, 0.77,0.76,0.78,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,
    5314             :       0.76,0.77,0.77,0.76,0.76,0.76,0.82,0.78,0.76,0.76,0.78,0.77, 0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76, 0.76,0.82,0.76,0.77,0.77,0.76,0.76,0.76,0.77,0.77,0.76,0.76,
    5315             :       0.76,0.76,0.76,0.76,0.78,0.78,0.76,0.76,0.76,0.82,0.76,0.76, 0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.77,0.76,0.76,0.76, 0.76,0.77,0.77,0.76,0.76,0.76,0.82,0.76,0.76,0.76,0.76,0.76,
    5316             :       0.78,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.77,0.76, 0.76,0.76,0.76,0.76,0.76,0.77,0.83,0.77,0.76,0.76,0.76,0.76, 0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,
    5317             :       0.76,0.76,0.76,0.76,0.78,0.77,0.77,0.76,0.83,0.76,0.76,0.76, 0.76,0.76,0.77,0.77,0.76,0.76,0.76,0.76,0.84,0.76,0.76,0.76, 0.76,0.76,0.84,0.76,0.76,0.76,0.76,0.76,0.83,0.76,0.76,0.77,
    5318             :       0.77,0.76,0.83,0.83,0.76,0.76,0.76,0.76,0.76,0.83,0.76,0.76, 0.76,0.78,0.77,0.76,0.77,0.76,0.76,0.83,0.76,0.76,0.76,0.76, 0.76,0.76,0.76,0.76,0.82,0.76,0.76};
    5319             : 
    5320             :     static const double brdO3air[1363] ={
    5321             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.5984,2.2877,2.3000,2.3000,2.3000,2.3000,2.3000,2.6428, 2.3000,2.3000,2.0716,2.0894,2.0894,2.3000,2.2669,2.3000,2.3000,
    5322             :       2.1959,2.1782,2.2166,2.4623,2.1604,2.3000,2.3000,2.3000,2.3000, 2.1722,2.3000,2.2403,2.2403,2.1456,2.3000,2.3000,2.3000,2.4120, 2.5540,2.2640,2.0775,2.3000,2.3000,2.3084,2.3000,2.3000,2.3000,
    5323             :       2.6901,2.3000,2.3000,2.2877,2.3000,2.3000,2.3000,2.3000,2.3000, 2.0953,2.3000,2.3000,2.3000,2.3000,2.3000,2.3143,2.3000,2.3000, 2.2492,2.4859,2.3000,2.1870,2.3000,2.3000,2.5155,2.3000,2.3000,
    5324             :       2.3000,2.3000,2.1338,2.3000,2.3000,2.3000,2.3883,2.3439,2.2877, 2.0716,2.3291,2.3000,2.3000,2.3000,2.3000,2.3000,2.1042,2.3000, 2.3000,2.3735,2.3000,2.3000,2.3000,2.3000,2.5126,2.3084,2.4771,
    5325             :       2.2018,2.3000,2.3000,2.2314,2.6250,2.3000,2.5895,2.4060,2.5570, 2.3000,2.3000,2.3676,2.1249,2.5244,2.3000,2.3498,2.0687,2.4948, 2.3000,2.3000,2.3000,2.1130,2.3000,2.3000,2.3000,2.4682,2.3000,
    5326             :       2.3291,2.3000,2.4386,2.4415,2.3000,2.7405,2.3000,2.5392,2.4386, 2.2166,2.3000,2.4149,2.3000,2.3000,2.3000,2.3000,2.2166,2.3912, 2.4771,2.3000,2.3735,2.3000,2.3498,2.3000,2.3439,2.3000,2.3000,
    5327             :       2.1249,2.2166,2.1130,2.0627,2.3705,2.3000,2.6901,2.3000,2.3000, 2.3000,2.3000,2.5658,2.4060,2.2314,2.3000,2.5155,2.3498,2.3000, 2.3000,2.3000,2.3000,2.3735,2.3000,2.2314,2.3000,2.3942,2.3000,
    5328             :       2.3291,2.3000,2.6428,2.1338,2.3000,2.3000,2.2018,2.3000,2.3232, 2.3000,2.5540,2.3000,2.3000,2.3000,2.3000,2.0598,2.3000,2.3000, 2.1042,2.3113,2.5925,2.3000,2.3000,2.3000,2.2492,2.3735,2.3942,
    5329             :       2.3000,2.3000,2.3000,2.3000,2.5984,2.2492,2.3000,2.3000,2.3000, 2.4208,2.5984,2.2936,2.1456,2.3000,2.3000,2.3000,2.3000,2.3000, 2.4208,2.3000,2.3025,2.6191,2.2669,2.1870,2.3000,2.5540,2.3000,
    5330             :       2.3000,2.2788,2.3439,2.3000,2.0598,2.2669,2.6428,2.0953,2.3000, 2.3000,2.4445,2.1574,2.1574,2.3000,2.3000,2.3000,2.2610,2.3000, 2.3000,2.4445,2.5155,2.3000,2.3000,2.2877,2.2877,2.2610,2.3143,
    5331             :       2.2788,2.2462,2.2817,2.2936,2.2344,2.3113,2.3000,2.3000,2.2196, 2.3000,2.3000,2.1722,2.3291,2.4711,2.1722,2.3000,2.1722,2.1722, 2.4771,2.3498,2.0568,2.4711,2.3000,2.3705,2.3000,2.3000,2.0894,
    5332             :       2.3000,2.3912,2.0953,2.3000,2.3000,2.3000,2.3084,2.4149,2.3000, 2.3084,2.4415,2.3000,2.2877,2.4386,2.3000,2.3000,2.4682,2.3000, 2.3000,2.4978,2.1870,2.1870,2.4948,2.2640,2.4978,2.5244,2.3000,
    5333             :       2.3000,2.3000,2.5570,2.5895,2.3000,2.3000,2.3000,2.1042,2.1574, 2.1042,2.3291,2.5895,2.3291,2.4060,2.0568,2.5570,2.3000,2.3000, 2.5244,2.3000,2.0835,2.3000,2.3000,2.3000,2.4948,2.2640,2.5244,
    5334             :       2.2018,2.2018,2.4682,2.5244,2.4415,2.3000,2.3000,2.3735,2.1130, 2.1397,2.2433,2.1130,2.4149,2.3498,2.3000,2.3000,2.3498,2.3912, 2.3000,2.3000,2.5540,2.1456,2.2166,2.2403,2.5540,2.2166,2.3705,
    5335             :       2.3439,2.3000,2.1308,2.0568,2.3000,2.3000,2.6487,2.3498,2.6901, 2.1249,2.1249,2.0775,2.3000,2.3735,2.3735,2.3000,2.3291,2.3143, 2.1190,2.2255,2.3000,2.3000,2.5836,2.5836,2.2314,2.2314,2.2166,
    5336             :       2.3113,2.6191,2.3000,2.3000,2.3000,2.6428,2.3000,2.1338,2.1338, 2.3000,2.3000,2.3000,2.2877,2.3942,2.3942,2.2936,2.1338,2.3000, 2.1071,2.3000,2.3000,2.3000,2.3000,2.3000,2.0598,2.3000,2.0775,
    5337             :       2.0775,2.3000,2.6132,2.6132,2.3000,2.2788,2.2492,2.2492,2.3000, 2.0716,2.5925,2.1959,2.2078,2.2640,2.3000,2.3000,2.3000,2.1604, 2.1900,2.3000,2.1456,2.1456,2.4208,2.4208,2.3000,2.5984,2.3000,
    5338             :       2.1722,2.3000,2.3000,2.0835,2.0835,2.1841,2.2403,2.3000,2.2669, 2.2669,2.5658,2.3000,2.3000,2.1249,2.1959,2.1782,2.3000,2.0568, 2.0568,2.1574,2.1574,2.4445,2.0598,2.4445,2.3000,2.3000,2.2078,
    5339             :       2.1900,2.5540,2.3000,2.3000,2.0450,2.2166,2.0687,2.5392,2.2196, 2.0894,2.0894,2.2877,2.2877,2.3000,2.2344,2.3000,2.3000,2.0598, 2.0598,2.1604,2.3000,2.2462,2.1959,2.4711,2.1722,2.4711,2.4711,
    5340             :       2.3000,2.5126,2.3000,2.2610,2.0509,2.0509,2.3000,2.5155,2.2788, 2.0953,2.0953,2.3000,2.3000,2.3084,2.3084,2.2936,2.0627,2.1782, 2.3000,2.3113,2.3000,2.0598,2.0598,2.1426,2.3291,2.4859,2.4978,
    5341             :       2.4978,2.1870,2.1870,2.3498,2.3000,2.3000,2.3705,2.3000,2.3912, 2.0568,2.0568,2.3000,2.4149,2.4415,2.4682,2.4948,2.5244,2.5570, 2.5570,2.5244,2.4948,2.4682,2.4415,2.4149,2.1042,2.1042,2.3912,
    5342             :       2.3000,2.4771,2.3705,2.3291,2.3291,2.3498,2.3000,2.3000,2.1604, 2.3291,2.3000,2.3000,2.3113,2.4623,2.2936,2.3000,2.3000,2.2788, 2.3000,2.3000,2.0627,2.0627,2.3000,2.2610,2.1278,2.3000,2.5244,
    5343             :       2.5244,2.3000,2.2018,2.2018,2.2462,2.3000,2.3000,2.2344,2.3000, 2.0598,2.0598,2.3000,2.3000,2.3000,2.1426,2.2196,2.4356,2.1130, 2.1130,2.3498,2.3498,2.0568,2.3000,2.2078,2.3000,2.4386,2.1959,
    5344             :       2.3000,2.3000,2.0687,2.0687,2.3000,2.3000,2.1130,2.5540,2.5540, 2.2166,2.2166,2.3000,2.1841,2.4120,2.1278,2.3000,2.0598,2.0598, 2.3000,2.1722,2.3000,2.1249,2.1249,2.3000,2.3735,2.3735,2.3000,
    5345             :       2.3000,2.1604,2.3000,2.3883,2.0716,2.0716,2.5836,2.5836,2.0983, 2.1515,2.2314,2.2314,2.1130,2.4060,2.3000,2.3000,2.3000,2.0568, 2.3000,2.3000,2.4948,2.4948,2.0509,2.1397,2.3676,2.1338,2.1338,
    5346             :       2.3942,2.3942,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.1308, 2.3000,2.0983,2.0775,2.0775,2.0864,2.1663,2.2492,2.2492,2.3000, 2.3439,2.3000,2.3000,2.1190,2.3000,2.3000,2.3000,2.6132,2.6132,
    5347             :       2.3735,2.1782,2.1456,2.1456,2.4208,2.4208,2.3000,2.3000,2.3000, 2.3000,2.3232,2.0864,2.1900,2.3000,2.0835,2.0835,2.3000,2.0746, 2.2669,2.2669,2.3000,2.3000,2.3000,2.1071,2.0450,2.3025,2.3000,
    5348             :       2.3000,2.5836,2.5836,2.3000,2.3000,2.1574,2.1574,2.4445,2.4445, 2.1190,2.0746,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3439, 2.2817,2.1308,2.0894,2.3000,2.0657,2.2877,2.2877,2.3000,2.1397,
    5349             :       2.3000,2.3000,2.5540,2.3000,2.3000,2.3000,2.5540,2.2640,2.0657, 2.1515,2.1722,2.1722,2.4711,2.4711,2.3000,2.3000,2.3000,2.3000, 2.1604,2.3000,2.3000,2.0539,2.1722,2.0953,2.3000,2.2433,2.3084,
    5350             :       2.3084,2.1841,2.0391,2.3000,2.3000,2.1959,2.5244,2.3143,2.3000, 2.3000,2.5244,2.3000,2.0539,2.2078,2.3000,2.3000,2.3000,2.4978, 2.4978,2.1870,2.1870,2.2255,2.3000,2.2196,2.0391,2.2344,2.2462,
    5351             :       2.3000,2.3000,2.3000,2.2610,2.3000,2.2788,2.2936,2.3000,2.3113, 2.2196,2.2078,2.2344,2.1959,2.2462,2.2610,2.1841,2.3291,2.2788, 2.2936,2.0450,2.3498,2.3113,2.1722,2.3291,2.3705,2.3498,2.3912,
    5352             :       2.3912,2.3912,2.4149,2.4149,2.4415,2.4415,2.1604,2.1604,2.4682, 2.4948,2.4948,2.5244,2.5244,2.3000,2.3000,2.1515,2.3000,2.3291, 2.3291,2.2078,2.3000,2.3000,2.3000,2.3000,2.0450,2.3000,2.3000,
    5353             :       2.4978,2.3000,2.3000,2.4978,2.3000,2.5244,2.5244,2.2018,2.2018, 2.3000,2.1900,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.0361,2.3000,2.3000,2.2877,2.3000,2.3000,2.3000,2.3000,
    5354             :       2.3498,2.3498,2.1722,2.3000,2.3000,2.3000,2.0361,2.4711,2.3000, 2.3000,2.3000,2.3000,2.4711,2.3000,2.5540,2.5540,2.2166,2.2166, 2.3000,2.1574,2.3000,2.3000,2.0272,2.3000,2.3000,2.3000,2.3000,
    5355             :       2.3000,2.3000,2.3000,2.3000,2.3735,2.3735,2.3000,2.3000,2.1426, 2.4445,2.3000,2.3000,2.3000,2.3000,2.3000,2.4445,2.2314,2.2314, 2.3000,2.2640,2.3000,2.1278,2.3000,2.3000,2.0183,2.3000,2.3000,
    5356             :       2.3000,2.3000,2.1249,2.3000,2.3000,2.3000,2.3000,2.3000,2.3942, 2.3942,2.3000,2.3000,2.3000,2.4208,2.1130,2.3000,2.0835,2.3000, 2.3000,2.3000,2.4208,2.2492,2.2492,2.3000,2.0124,2.3000,2.3000,
    5357             :       2.3000,2.0923,2.3000,2.0983,2.3000,2.4356,2.4356,2.3000,2.3000, 2.3942,2.3000,2.4208,2.4208,2.3000,2.3000,2.3000,2.3000,2.3000, 2.0983,2.2403,2.3000,2.3000,2.3000,2.3000,2.3000,2.3942,2.0864,
    5358             :       2.2669,2.2669,2.1071,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.3735,2.5836,2.5836,2.3000,2.3000,2.1160,2.3000,2.4445, 2.4445,2.3000,2.3000,2.0716,2.3000,2.1249,2.3000,2.0568,2.3000,
    5359             :       2.3000,2.2877,2.2877,2.3735,2.3000,2.1367,2.3000,2.3000,2.3000, 2.3498,2.3000,2.3000,2.3000,2.0598,2.1456,2.5540,2.5540,2.0509, 2.3000,2.3000,2.4711,2.4711,2.3000,2.3000,2.1574,2.3000,2.3000,
    5360             :       2.2166,2.1663,2.3000,2.3000,2.1782,2.0479,2.3000,2.3291,2.3084, 2.3084,2.3000,2.3000,2.3000,2.3000,2.1900,2.3498,2.3000,2.3000, 2.1071,2.3000,2.3000,2.1190,2.5244,2.5244,2.3000,2.3000,2.1308,
    5361             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.4978, 2.4978,2.3000,2.3000,2.3000,2.1397,2.3000,2.1900,2.1071,2.0568, 2.3000,2.3000,2.1515,2.3000,2.1190,2.1308,2.0391,2.3000,2.1604,
    5362             :       2.1397,2.3000,2.1722,2.2433,2.1604,2.3084,2.1841,2.1722,2.1959, 2.3000,2.1841,2.1959,2.2078,2.2078,2.2196,2.2196,2.2344,2.2344, 2.3000,2.3000,2.2462,2.2462,2.2610,2.2610,2.2788,2.2788,2.3000,
    5363             :       2.2936,2.2936,2.3113,2.3113,2.3291,2.3291,2.3000,2.3498,2.3498, 2.3705,2.3705,2.3912,2.3912,2.4149,2.4149,2.4415,2.4415,2.4682, 2.4682,2.4948,2.4948,2.3000,2.3291,2.3291,2.3000,2.3000,2.3000,
    5364             :       2.3291,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.4978,2.4978, 2.0272,2.3000,2.3000,2.3000,2.2877,2.5244,2.5244,2.3000,2.1959, 2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,
    5365             :       2.3000,2.3498,2.3498,2.3000,2.3000,2.3000,2.0183,2.2669,2.3000, 2.3000,2.3084,2.4711,2.4711,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.0095,2.3000,
    5366             :       2.3735,2.3735,2.3000,2.3000,2.3000,2.4445,2.4445,2.3000,2.3000, 2.3000,2.3000,2.3000,2.3000,2.1782,2.2877,2.3000,2.3000,2.3000, 2.0006,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,
    5367             :       2.3000,2.3942,2.3942,2.3000,2.3000,2.3000,2.3000,2.4208,2.4208, 2.3000,2.3000,2.3000,1.9917,2.3000,2.3000,2.3000,2.3000,2.3000, 2.2669,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,
    5368             :       2.4208,2.4208,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3942, 1.9858,2.3942,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.0450,2.0450,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,
    5369             :       2.0509,2.3853,2.3853,2.3000,2.2492,2.4445,2.4445,2.3000,1.9799, 2.3000,2.0568,2.3000,2.3000,2.3000,2.3735,2.3735,2.3000,2.3000, 2.3000,2.3000,2.0627,2.3000,2.3000,2.3000,2.3000,2.3000,2.0687,
    5370             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.0746,2.5540,2.5540,2.4711, 2.4711,2.5540,1.9710,2.0835,2.3000,2.3000,2.3000,2.3000,2.3000, 2.0923,2.3000,2.3000,2.3000,2.2314,2.3498,2.3000,2.3498,2.3000,
    5371             :       2.3000,2.0983,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.1071,2.3000,2.3000};
    5372             : 
    5373             : 
    5374             : 
    5375             :     static const unsigned int ifin1[500]={
    5376             :          9,   9,  13,  14,  14,  16,  17,  21,  22,  25,  27,  30,  32,  37,  42,  45,  47,  49,  51,  55,  57,  59,  61,  64,  65,  67,  72,  75,  76,  79,
    5377             :         83,  87,  90,  92,  93,  94,  95,  96, 100, 104, 104, 104, 107, 108, 112, 115, 117, 118, 123, 125, 127, 129, 133, 137, 139, 139, 142, 144, 146, 148,
    5378             :        149, 151, 153, 156, 160, 162, 166, 168, 171, 172, 173, 175, 179, 181, 183, 185, 186, 186, 190, 195, 196, 197, 201, 203, 208, 211, 217, 220, 220, 221,
    5379             :        223, 224, 227, 231, 231, 232, 232, 235, 236, 241, 243, 248, 249, 251, 253, 254, 256, 257, 257, 259, 264, 265, 267, 268, 268, 273, 276, 279, 283, 287,
    5380             :        290, 292, 294, 299, 299, 304, 305, 308, 308, 311, 314, 316, 319, 322, 324, 326, 328, 332, 336, 337, 342, 344, 345, 350, 351, 355, 356, 356, 359, 360,
    5381             :        362, 367, 369, 369, 370, 370, 372, 375, 381, 382, 383, 385, 387, 391, 394, 394, 395, 398, 399, 401, 405, 407, 407, 408, 410, 411, 420, 426, 426, 430,
    5382             :        431, 435, 439, 441, 443, 447, 450, 451, 454, 459, 459, 463, 463, 463, 465, 471, 472, 474, 475, 479, 479, 485, 487, 490, 493, 493, 496, 498, 500, 501,
    5383             :        502, 504, 508, 509, 514, 515, 518, 522, 522, 525, 529, 529, 530, 532, 537, 539, 544, 547, 548, 552, 555, 565, 573, 579, 581, 584, 586, 591, 597, 600,
    5384             :        601, 604, 608, 611, 614, 618, 619, 620, 621, 626, 631, 633, 635, 637, 641, 642, 643, 648, 650, 652, 652, 653, 655, 662, 665, 666, 666, 668, 673, 676,
    5385             :        681, 684, 684, 685, 689, 691, 693, 697, 699, 701, 704, 705, 709, 710, 715, 715, 717, 721, 723, 724, 727, 728, 733, 735, 739, 741, 745, 747, 748, 753,
    5386             :        755, 755, 756, 758, 764, 764, 771, 773, 773, 776, 777, 778, 783, 785, 787, 788, 792, 797, 801, 809, 810, 814, 817, 834, 854, 858, 860, 861, 866, 869,
    5387             :        870, 875, 876, 879, 884, 885, 889, 894, 897, 899, 900, 902, 905, 910, 911, 912, 914, 916, 919, 922, 926, 930, 931, 931, 935, 935, 940, 940, 941, 944,
    5388             :        946, 953, 956, 960, 960, 962, 966, 967, 969, 969, 971, 974, 977, 980, 986, 989, 990, 992, 994, 997,1002,1002,1004,1008,1011,1013,1019,1021,1022,1023,
    5389             :       1024,1028,1028,1031,1036,1038,1041,1044,1047,1051,1055,1055,1056,1058,1061,1067,1071,1072,1075,1078,1084,1095,1104,1110,1116,1124,1150,1159,1162,1162,
    5390             :       1167,1169,1173,1180,1182,1183,1183,1183,1189,1192,1193,1197,1197,1199,1202,1206,1206,1208,1208,1210,1214,1216,1218,1218,1219,1221,1223,1227,1231,1233,
    5391             :       1235,1237,1239,1243,1247,1247,1248,1250,1252,1253,1257,1259,1260,1264,1264,1270,1273,1274,1274,1276,1280,1283,1286,1286,1292,1293,1293,1297,1304,1305,
    5392             :       1305,1309,1312,1315,1318,1319,1323,1324,1325,1327,1332,1336,1338,1341,1348,1352,1357,1363,1363,1363};
    5393             : 
    5394             :     static const unsigned int ini1[500]={
    5395             :          1,   1,   2,   4,   9,   9,  13,  14,  14,  16,  17,  21,  22,  25,  27,  30,  32,  37,  42,  45,  47,  49,  51,  55,  57,  59,  61,  64,  65,  67,
    5396             :         72,  75,  76,  79,  83,  87,  90,  92,  93,  94,  95,  96, 100, 104, 104, 104, 107, 108, 112, 115, 117, 118, 123, 125, 127, 129, 133, 137, 139, 139,
    5397             :        142, 144, 146, 148, 149, 151, 153, 156, 160, 162, 166, 168, 171, 172, 173, 175, 179, 181, 183, 185, 186, 186, 190, 195, 196, 197, 201, 203, 208, 211,
    5398             :        217, 220, 220, 221, 223, 224, 227, 231, 231, 232, 232, 235, 236, 241, 243, 248, 249, 251, 253, 254, 256, 257, 257, 259, 264, 265, 267, 268, 268, 273,
    5399             :        276, 279, 283, 287, 290, 292, 294, 299, 299, 304, 305, 308, 308, 311, 314, 316, 319, 322, 324, 326, 328, 332, 336, 337, 342, 344, 345, 350, 351, 355,
    5400             :        356, 356, 359, 360, 362, 367, 369, 369, 370, 370, 372, 375, 381, 382, 383, 385, 387, 391, 394, 394, 395, 398, 399, 401, 405, 407, 407, 408, 410, 411,
    5401             :        420, 426, 426, 430, 431, 435, 439, 441, 443, 447, 450, 451, 454, 459, 459, 463, 463, 463, 465, 471, 472, 474, 475, 479, 479, 485, 487, 490, 493, 493,
    5402             :        496, 498, 500, 501, 502, 504, 508, 509, 514, 515, 518, 522, 522, 525, 529, 529, 530, 532, 537, 539, 544, 547, 548, 552, 555, 565, 573, 579, 581, 584,
    5403             :        586, 591, 597, 600, 601, 604, 608, 611, 614, 618, 619, 620, 621, 626, 631, 633, 635, 637, 641, 642, 643, 648, 650, 652, 652, 653, 655, 662, 665, 666,
    5404             :        666, 668, 673, 676, 681, 684, 684, 685, 689, 691, 693, 697, 699, 701, 704, 705, 709, 710, 715, 715, 717, 721, 723, 724, 727, 728, 733, 735, 739, 741,
    5405             :        745, 747, 748, 753, 755, 755, 756, 758, 764, 764, 771, 773, 773, 776, 777, 778, 783, 785, 787, 788, 792, 797, 801, 809, 810, 814, 817, 834, 854, 858,
    5406             :        860, 861, 866, 869, 870, 875, 876, 879, 884, 885, 889, 894, 897, 899, 900, 902, 905, 910, 911, 912, 914, 916, 919, 922, 926, 930, 931, 931, 935, 935,
    5407             :        940, 940, 941, 944, 946, 953, 956, 960, 960, 962, 966, 967, 969, 969, 971, 974, 977, 980, 986, 989, 990, 992, 994, 997,1002,1002,1004,1008,1011,1013,
    5408             :       1019,1021,1022,1023,1024,1028,1028,1031,1036,1038,1041,1044,1047,1051,1055,1055,1056,1058,1061,1067,1071,1072,1075,1078,1084,1095,1104,1110,1116,1124,
    5409             :       1150,1159,1162,1162,1167,1169,1173,1180,1182,1183,1183,1183,1189,1192,1193,1197,1197,1199,1202,1206,1206,1208,1208,1210,1214,1216,1218,1218,1219,1221,
    5410             :       1223,1227,1231,1233,1235,1237,1239,1243,1247,1247,1248,1250,1252,1253,1257,1259,1260,1264,1264,1270,1273,1274,1274,1276,1280,1283,1286,1286,1292,1293,
    5411             :       1293,1297,1304,1305,1305,1309,1312,1315,1318,1319,1323,1324,1325,1327,1332,1336,1338,1341,1348,1352};
    5412             : 
    5413             :       static const unsigned int ifin2[500]={
    5414             :         4,   8,   9,  11,  13,  14,  16,  17,  20,  21,   4,  27,  30,  32,  37,  41,  45,  47,  48,  50,  55,  56,  59,  61,  63,  65,  67,  71,  74,  75,
    5415             :         78,  82,  86,  90,  91,  93,  94,  95,  96, 100, 102, 104, 104, 106, 108, 112, 114, 117, 118, 121,124, 126, 128, 133, 137, 138, 139, 141, 144, 146,
    5416             :         148, 148, 151, 151, 156, 160, 162, 166, 167, 171,171, 173, 174, 178, 181, 182, 185, 185, 186, 189,193, 196, 197, 200, 203, 207, 209, 215, 220, 220,
    5417             :         221, 222, 224, 227, 230, 231, 232, 232, 235, 236,239, 242, 248, 249, 250, 253, 254, 256, 256, 257,258, 264, 265, 266, 268, 268, 272, 276, 278, 282,
    5418             :         287, 289, 292, 293, 299, 299, 304, 305, 308, 308,309, 313, 315, 319, 322, 323, 324, 328, 332, 335,337, 341, 342, 345, 348, 351, 354, 356, 356, 359,
    5419             :         360, 360, 366, 369, 369, 369, 370, 372, 374, 381,382, 383, 385, 387, 389, 393, 394, 395, 397, 399,401, 404, 405, 407, 407, 410, 411, 418, 425, 426,
    5420             :         430, 431, 433, 438, 441, 442, 445, 448, 450, 452,459, 459, 461, 463, 463, 465, 469, 471, 474, 474,479, 479, 482, 486, 489, 493, 493, 496, 498, 500,
    5421             :         501, 502, 504, 508, 509, 514, 514, 518, 522, 522,525, 529, 529, 530, 532, 535, 538, 544, 546, 548,552, 555, 564, 571, 578, 581, 583, 586, 591, 597,
    5422             :         600, 601, 603, 607, 610, 614, 617, 619, 620, 621,623, 627, 633, 635, 637, 638, 641, 643, 648, 648,651, 652, 653, 655, 658, 665, 666, 666, 668, 673,
    5423             :         676, 681, 682, 684, 685, 687, 690, 693, 697, 698,699, 703, 705, 709, 710, 713, 715, 716, 720, 723,724, 726, 728, 733, 734, 739, 741, 741, 747, 748,
    5424             :         750, 753, 755, 755, 757, 760, 764, 767, 772, 773,776, 777, 778, 783, 785, 786, 788, 791, 797, 801,809, 810, 812, 817, 828, 853, 858, 860, 861, 866,
    5425             :         869, 870, 875, 876, 878, 883, 884, 888, 892, 896,899, 900, 902, 905, 908, 910, 912, 914, 915, 919,922, 926, 927, 931, 931, 934, 935, 939, 940, 941,
    5426             :         944, 945, 949, 956, 960, 960, 961, 963, 967, 969,969, 970, 973, 976, 980, 986, 989, 990, 992, 994,996,1000,1002,1004,1005,1010,1013,1016,1019,1022,
    5427             :         1022,1024,1028,1028,1031,1036,1038,1041,1042,1045,1050,1055,1055,1056,1056,1060,1067,1069,1071,1075,1076,1079,1093,1102,1109,1115,1122,1137,1159,1162,
    5428             :         1162,1165,1169,1172,1178,1180,1183,1183,1183,1187,1190,1193,1196,1197,1199,1202,1205,1206,1208,1208,1209,1211,1215,1218,1218,1219,1221,1223,1224,1231,
    5429             :         1233,1234,1236,1239,1243,1247,1247,1247,1248,1251,1252,1255,1257,1260,1264,1264,1270,1272,1274,1274,1275,1278,1281,1285,1286,1292,1293,1293,1295,1301,
    5430             :         1305,1305,1309,1311,1315,1317,1319,1323,1324,1325,1325,1332,1336,1338,1339,1347,1351,1354,1360,1363};
    5431             : 
    5432             :       static const unsigned int ini2[500]={
    5433             :         1,   2,   6,   9,   9,  13,  14,  15,  16,  18,  21,  22,  25,  27,  30,  34,  39,  43,  46,  47,  50,  54,  55,  58,  60,  61,  65,  66,  68,  73,
    5434             :         75,  76,  80,  83,  89,  91,  92,  93,  94,  96, 98, 102, 104, 104, 104, 108, 110, 113, 116, 117,118, 123, 126, 128, 130, 136, 137, 139, 140, 143,
    5435             :         144, 146, 148, 150, 151, 153, 156, 160, 164, 167,168, 171, 173, 173, 175, 180, 181, 183, 185, 186,186, 192, 196, 196, 199, 201, 205, 209, 214, 218,
    5436             :         220, 221, 221, 223, 226, 230, 231, 232, 232, 235,235, 238, 242, 245, 248, 250, 252, 254, 255, 256,257, 257, 264, 265, 266, 268, 268, 268, 273, 276,
    5437             :         280, 284, 287, 292, 293, 296, 299, 301, 305, 305,308, 308, 311, 314, 317, 320, 323, 324, 328, 328,334, 336, 339, 342, 344, 345, 351, 353, 356, 356,
    5438             :         356, 359, 360, 364, 367, 369, 369, 370, 370, 372,377, 382, 383, 383, 385, 388, 391, 394, 394, 396,398, 401, 402, 405, 407, 407, 410, 410, 413, 422,
    5439             :         426, 428, 430, 431, 435, 440, 441, 444, 447, 450,452, 455, 459, 459, 463, 463, 463, 468, 471, 473,474, 476, 479, 479, 485, 488, 490, 493, 494, 498,
    5440             :         500, 501, 502, 502, 507, 508, 514, 514, 515, 520,522, 522, 525, 529, 530, 530, 534, 537, 540, 544,547, 548, 554, 557, 568, 576, 579, 581, 585, 587,
    5441             :         593, 599, 600, 602, 604, 608, 611, 614, 618, 619,621, 622, 627, 631, 634, 636, 638, 641, 642, 645,648, 650, 652, 652, 653, 657, 664, 666, 666, 666,
    5442             :         672, 673, 679, 681, 684, 684, 685, 689, 691, 694,697, 699, 701, 705, 707, 709, 710, 715, 716, 717,721, 723, 724, 727, 729, 733, 735, 739, 741, 745,
    5443             :         747, 749, 753, 755, 755, 757, 758, 764, 765, 771,773, 773, 777, 778, 780, 783, 785, 787, 788, 794,799, 805, 809, 810, 815, 818, 840, 854, 858, 860,
    5444             :         862, 866, 870, 870, 876, 876, 881, 884, 886, 892,894, 898, 899, 900, 905, 906, 910, 912, 912, 914,917, 920, 925, 926, 930, 931, 931, 935, 937, 940,
    5445             :         940, 943, 944, 947, 953, 959, 960, 960, 962, 966,967, 969, 969, 971, 975, 978, 982, 986, 989, 990,993, 996, 998,1002,1003,1005,1008,1011,1013,1019,
    5446             :         1022,1022,1023,1025,1028,1030,1034,1037,1040,1041,1044,1049,1052,1055,1055,1056,1058,1062,1068,1071,1073,1075,1079,1088,1097,1104,1112,1119,1129,1156,
    5447             :         1161,1162,1162,1167,1171,1173,1180,1182,1183,1183,1185,1189,1192,1194,1197,1199,1199,1203,1206,1206,1208,1208,1210,1215,1218,1218,1219,1219,1221,1223,
    5448             :         1228,1231,1234,1236,1237,1241,1243,1247,1247,1248,1250,1252,1255,1257,1259,1260,1264,1266,1270,1274,1274,1274,1278,1281,1283,1286,1290,1293,1293,1293,
    5449             :         1300,1304,1305,1306,1309,1313,1315,1318,1320,1323,1325,1325,1330,1334,1336,1339,1342,1349,1352,1359};
    5450             : 
    5451             : 
    5452             :             static const unsigned int ifin3[500]={
    5453             :         2,   6,   9,   9,  13,  14,  15,  16,  18,  21, 22,  25,  27,  30,  34,  39,  43,  46,  47,  50, 54,  55,  58,  60,  61,  65,  66,  68,  73,  75,
    5454             :         76,  80,  83,  89,  91,  92,  93,  94,  96,  98, 102, 104, 104, 104, 108, 110, 113, 116, 117, 118, 123, 126, 128, 130, 136, 137, 139, 140, 143, 144,
    5455             :         146, 148, 150, 151, 153, 156, 160, 164, 167, 168, 171, 173, 173, 175, 180, 181, 183, 185, 186, 186, 192, 196, 196, 199, 201, 205, 209, 214, 218, 220,
    5456             :         221, 221, 223, 226, 230, 231, 232, 232, 235, 235, 238, 242, 245, 248, 250, 252, 254, 255, 256, 257, 257, 264, 265, 266, 268, 268, 268, 273, 276, 280,
    5457             :         284, 287, 292, 293, 296, 299, 301, 305, 305, 308, 308, 311, 314, 317, 320, 323, 324, 328, 328, 334, 336, 339, 342, 344, 345, 351, 353, 356, 356, 356,
    5458             :         359, 360, 364, 367, 369, 369, 370, 370, 372, 377, 382, 383, 383, 385, 388, 391, 394, 394, 396, 398, 401, 402, 405, 407, 407, 410, 410, 413, 422, 426,
    5459             :         428, 430, 431, 435, 440, 441, 444, 447, 450, 452, 455, 459, 459, 463, 463, 463, 468, 471, 473, 474, 476, 479, 479, 485, 488, 490, 493, 494, 498, 500,
    5460             :         501, 502, 502, 507, 508, 514, 514, 515, 520, 522, 522, 525, 529, 530, 530, 534, 537, 540, 544, 547, 548, 554, 557, 568, 576, 579, 581, 585, 587, 593,
    5461             :         599, 600, 602, 604, 608, 611, 614, 618, 619, 621, 622, 627, 631, 634, 636, 638, 641, 642, 645, 648, 650, 652, 652, 653, 657, 664, 666, 666, 666, 672,
    5462             :         673, 679, 681, 684, 684, 685, 689, 691, 694, 697, 699, 701, 705, 707, 709, 710, 715, 716, 717, 721, 723, 724, 727, 729, 733, 735, 739, 741, 745, 747,
    5463             :         749, 753, 755, 755, 757, 758, 764, 765, 771, 773, 773, 777, 778, 780, 783, 785, 787, 788, 794, 799, 805, 809, 810, 815, 818, 840, 854, 858, 860, 862,
    5464             :         866, 870, 870, 876, 876, 881, 884, 886, 892, 894, 898, 899, 900, 905, 906, 910, 912, 912, 914, 917, 920, 925, 926, 930, 931, 931, 935, 937, 940, 940,
    5465             :         943, 944, 947, 953, 959, 960, 960, 962, 966, 967, 969, 969, 971, 975, 978, 982, 986, 989, 990, 993, 996, 998,1002,1003,1005,1008,1011,1013,1019,1022,
    5466             :         1022,1023,1025,1028,1030,1034,1037,1040,1041,1044,1049,1052,1055,1055,1056,1058,1062,1068,1071,1073,1075,1079,1088,1097,1104,1112,1119,1129,1156,1161,
    5467             :         1162,1162,1167,1171,1173,1180,1182,1183,1183,1185,1189,1192,1194,1197,1199,1199,1203,1206,1206,1208,1208,1210,1215,1218,1218,1219,1219,1221,1223,1228,
    5468             :         1231,1234,1236,1237,1241,1243,1247,1247,1248,1250,1252,1255,1257,1259,1260,1264,1266,1270,1274,1274,1274,1278,1281,1283,1286,1290,1293,1293,1293,1300,
    5469             :         1304,1305,1306,1309,1313,1315,1318,1320,1323,1325,1325,1330,1334,1336,1339,1342,1349,1352,1359,1363};
    5470             : 
    5471             : 
    5472             :       static const unsigned int ini3[500]={
    5473             :         2,   4,   8,   9,  11,  13,  14,  16,  17,  20, 21,  24,  27,  30,  32,  37,  41,  45,  47,  48,  50,  55,  56,  59,  61,  63,  65,  67,  71,  74,
    5474             :         75,  78,  82,  86,  90,  91,  93,  94,  95,  96, 100, 102, 104, 104, 106, 108, 112, 114, 117, 118, 121, 124, 126, 128, 133, 137, 138, 139, 141, 144,
    5475             :         146, 148, 148, 151, 151, 156, 160, 162, 166, 167,171, 171, 173, 174, 178, 181, 182, 185, 185, 186,189, 193, 196, 197, 200, 203, 207, 209, 215, 220,
    5476             :         220, 221, 222, 224, 227, 230, 231, 232, 232, 235,236, 239, 242, 248, 249, 250, 253, 254, 256, 256,257, 258, 264, 265, 266, 268, 268, 272, 276, 278,
    5477             :         282, 287, 289, 292, 293, 299, 299, 304, 305, 308,308, 309, 313, 315, 319, 322, 323, 324, 328, 332,335, 337, 341, 342, 345, 348, 351, 354, 356, 356,
    5478             :         359, 360, 360, 366, 369, 369, 369, 370, 372, 374,381, 382, 383, 385, 387, 389, 393, 394, 395, 397,399, 401, 404, 405, 407, 407, 410, 411, 418, 425,
    5479             :         426, 430, 431, 433, 438, 441, 442, 445, 448, 450,452, 459, 459, 461, 463, 463, 465, 469, 471, 474,474, 479, 479, 482, 486, 489, 493, 493, 496, 498,
    5480             :         500, 501, 502, 504, 508, 509, 514, 514, 518, 522,522, 525, 529, 529, 530, 532, 535, 538, 544, 546,548, 552, 555, 564, 571, 578, 581, 583, 586, 591,
    5481             :         597, 600, 601, 603, 607, 610, 614, 617, 619, 620,621, 623, 627, 633, 635, 637, 638, 641, 643, 648,648, 651, 652, 653, 655, 658, 665, 666, 666, 668,
    5482             :         673, 676, 681, 682, 684, 685, 687, 690, 693, 697,698, 699, 703, 705, 709, 710, 713, 715, 716, 720,723, 724, 726, 728, 733, 734, 739, 741, 741, 747,
    5483             :         748, 750, 753, 755, 755, 757, 760, 764, 767, 772,773, 776, 777, 778, 783, 785, 786, 788, 791, 797,801, 809, 810, 812, 817, 828, 853, 858, 860, 861,
    5484             :         866, 869, 870, 875, 876, 878, 883, 884, 888, 892,896, 899, 900, 902, 905, 908, 910, 912, 914, 915,919, 922, 926, 927, 931, 931, 934, 935, 939, 940,
    5485             :         941, 944, 945, 949, 956, 960, 960, 961, 963, 967,969, 969, 970, 973, 976, 980, 986, 989, 990, 992,994, 996,1000,1002,1004,1005,1010,1013,1016,1019,
    5486             :         1022,1022,1024,1028,1028,1031,1036,1038,1041,1042,1045,1050,1055,1055,1056,1056,1060,1067,1069,1071,1075,1076,1079,1093,1102,1109,1115,1122,1137,1159,
    5487             :         1162,1162,1165,1169,1172,1178,1180,1183,1183,1183,1187,1190,1193,1196,1197,1199,1202,1205,1206,1208,1208,1209,1211,1215,1218,1218,1219,1221,1223,1224,
    5488             :         1231,1233,1234,1236,1239,1243,1247,1247,1247,1248,1251,1252,1255,1257,1260,1264,1264,1270,1272,1274,1274,1275,1278,1281,1285,1286,1292,1293,1293,1295,
    5489             :         1301,1305,1305,1309,1311,1315,1317,1319,1323,1324,1325,1325,1332,1336,1338,1339,1347,1351,1354,1360};
    5490             : 
    5491             :     static const double pi=3.141592654;
    5492             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
    5493             :     static const double mu=0.53;  //Debyes
    5494             :     static const double mmol=49.0;
    5495             : 
    5496             :     //double q=1.344455353*pow(tt,1.5);
    5497    10668574 :     double q=1.344455353*tt*sqrt(tt);
    5498             :     unsigned int vp;
    5499             :     unsigned int ini;
    5500             :     unsigned int ifin;
    5501    10668574 :     std::complex<double>  lshape;
    5502    10668574 :     std::complex<double>  lshapeacum;
    5503             : 
    5504    10668574 :     if(nu>999.9){
    5505             : 
    5506           0 :       return std::complex<double> (0.0,0.0);
    5507             : 
    5508             :     }else{
    5509             : 
    5510    10668574 :       vp = vpIndex(nu);
    5511             : 
    5512    10668574 :       if(pp<25){ ini=ini3[vp]; ifin=ifin3[vp]; }else{ if(pp<300){ ini=ini2[vp]; ifin=ifin2[vp]; }else{ ini=ini1[vp]; ifin=ifin1[vp]; } }
    5513    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
    5514    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
    5515             : 
    5516    10668574 :       if(ifin==0||ifin<ini){
    5517             : 
    5518       58800 :         return std::complex<double> (0.0,0.0);
    5519             : 
    5520             :       }else{
    5521             : 
    5522   100548972 :         for(unsigned int i=ini; i<ifin+1; i++){
    5523             : 
    5524    89939198 :           lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,brdO3air[i]*0.001,texpO3[i]),0.0);   // broadening en GHz/mb 14/11/2018
    5525             :           //      lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,0.0025,0.76),0.0);
    5526    89939198 :           lshape=lshape*flin[i]*exp(-el[i]/tt)*fre[i];
    5527    89939198 :           lshapeacum=lshapeacum+lshape;
    5528             : 
    5529             :         }
    5530             : 
    5531    10609774 :         lshapeacum=lshapeacum*(nu/pi)*(0.047992745509/tt)*(picube8div3hcesu*pow(mu,2)/q);  // imaginary part: absorption coefficient in cm^2
    5532             :                                                                                                           // real part: delay in rad*cm^2
    5533             : 
    5534    10609774 :         return lshapeacum*1e-4;    // to give it in SI units (m^2)    // (  rad m^2 , m^2 )
    5535             : 
    5536             :       }
    5537             : 
    5538             :     }
    5539             : 
    5540             :   }
    5541             : 
    5542             :   //////////////////////// Opacity Source Number: 22 /////////////////////////////
    5543             : 
    5544    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_16o18o16o(double tt, double pp, double nu){
    5545             : 
    5546             :     static const double fre[755]={
    5547             :         3.83292,  4.65377,  6.96684,  8.18944, 10.01083, 14.86876,  16.35579, 16.66993, 17.65795, 18.76805, 19.10049, 22.20599,  23.42240, 25.11912, 25.28206, 25.97734, 26.04029, 29.22771,
    5548             :        29.88932, 30.91416, 31.70964, 32.82510, 32.83978, 33.19019,  34.81487, 34.96913, 35.14310, 35.28012, 36.98948, 44.62285,  46.36781, 46.44679, 48.80693, 49.69103, 49.73307, 51.04926,
    5549             :        51.20879, 53.21264, 55.63426, 56.18237, 60.13629, 60.81826,  62.47732, 64.42406, 65.42776, 67.12047, 67.50656, 69.39121,  73.58799, 74.74345, 75.11129, 76.26604, 78.67523, 79.49845,
    5550             :        81.08149, 83.95127, 84.83387, 85.14570, 86.41835, 86.96452,  87.39463, 88.55293, 91.01000, 94.48388, 97.90016, 99.82872, 101.03610,102.21188,102.65862,104.35540,105.77757,107.38846,
    5551             :       110.37325,112.38954,112.61345,112.66861,113.05508,114.43400, 116.40134,116.75312,118.85573,120.91444,122.72406,123.29053, 126.32539,128.96342,133.10971,133.43143,136.83712,137.07259,
    5552             :       138.79255,142.05328,143.14371,144.77817,145.45266,146.44470, 149.85713,150.35073,152.52462,152.99859,155.57508,156.49877, 158.46862,158.51873,158.64756,159.25580,159.82491,164.03247,
    5553             :       164.73359,164.90625,167.12339,169.91475,171.03352,171.14418, 171.49232,172.81548,173.20336,177.77700,178.73046,186.92652, 187.87893,188.89628,191.80608,192.68817,195.89534,197.14164,
    5554             :       197.62817,198.61779,199.54910,203.72888,205.67110,205.85097, 206.27231,212.63955,213.29923,213.53850,216.06545,217.50672, 219.32561,223.00496,223.39665,224.76185,224.81267,225.85068,
    5555             :       225.92993,226.33694,230.17465,231.27666,233.02210,234.34000, 236.60412,236.87640,238.71616,239.96505,240.00467,240.81710, 241.50344,242.99812,246.29104,249.07765,249.57444,250.20690,
    5556             :       250.51788,255.22420,255.82478,256.67860,258.33642,260.03970, 260.32286,260.40244,263.10906,265.62341,266.28459,270.47669, 272.37055,274.14843,275.68242,278.11561,278.39212,278.45228,
    5557             :       279.25255,281.19315,281.98575,282.98466,284.01884,284.29217, 285.94293,288.15370,289.12425,292.49157,292.69421,295.31851, 298.51724,301.71864,303.33763,304.82222,304.88585,307.47498,
    5558             :       309.23460,309.28475,310.44523,312.55129,312.90127,315.91555, 316.45163,317.75446,318.84800,324.87483,325.67949,325.95658, 327.97217,328.52950,329.27763,329.52600,331.05490,331.79643,
    5559             :       333.95897,335.13562,335.44920,336.17226,336.20044,341.55239, 343.87600,345.02728,345.51899,347.79544,349.84917,349.94988, 353.31769,353.90940,358.45988,361.57683,362.19394,362.30451,
    5560             :       363.08692,363.23870,363.76981,369.27392,370.00690,371.04433, 373.49566,375.47774,375.54191,377.59078,377.87362,379.90755, 383.40365,384.85564,386.30918,387.60494,387.86222,390.34108,
    5561             :       391.48763,392.77610,394.97120,397.03735,397.95595,400.62942, 403.58905,405.64510,405.72190,405.91167,407.60362,408.45488, 411.58254,413.58354,413.61499,415.65825,416.80280,416.87472,
    5562             :       417.34226,420.21523,420.35432,422.46480,422.61307,422.91977, 425.93070,426.84736,429.02889,429.53428,429.90988,430.18675, 430.38023,430.96072,430.96297,431.52580,432.24357,433.23994,
    5563             :       434.59257,435.17843,438.41843,439.18372,439.48427,439.66855, 439.92899,444.14141,444.57753,445.80585,446.86354,448.75772, 451.08893,451.32667,451.67143,452.16743,453.10418,454.91506,
    5564             :       455.41838,456.02127,457.21469,459.89060,462.86401,464.74901, 465.33235,468.94947,471.11983,471.67118,471.93272,474.51420, 475.10504,476.25304,476.53976,479.25665,480.18144,480.92470,
    5565             :       481.02619,481.25150,481.88799,482.86516,486.30544,487.97260, 490.02427,490.21094,491.11631,493.42821,494.93747,495.48512, 496.42341,500.22050,500.65098,505.41688,507.03113,508.43688,
    5566             :       513.67627,514.33022,515.63956,516.84921,517.44907,519.57521, 520.75559,521.66152,522.10516,522.37042,525.86278,526.94989, 530.57062,532.76320,532.99433,533.96301,534.02473,537.33757,
    5567             :       541.00365,541.94707,542.42052,542.52755,546.87243,547.71140, 547.95870,549.72559,550.41192,551.45616,552.31934,555.40426, 556.52856,557.93083,558.44783,558.99983,559.43073,562.10658,
    5568             :       564.37106,565.94533,566.32968,567.90875,568.15856,569.05963, 572.04795,572.68115,573.62373,575.78660,576.99703,580.39350, 581.01700,582.96753,584.08887,584.85480,585.67564,589.24596,
    5569             :       590.24184,591.61144,592.24582,593.74229,594.64527,594.75797, 595.09359,597.20014,598.14685,599.24980,599.95341,600.09191, 600.23554,600.33302,600.72735,600.94867,601.06949,601.12041,
    5570             :       601.42871,601.44900,601.62611,601.66946,601.72570,601.74742, 602.46741,602.49328,602.96104,603.50217,604.76765,606.31913, 607.28923,609.68760,609.92484,610.23327,610.50070,611.56931,
    5571             :       615.48367,616.85978,617.68805,619.12658,619.28325,622.33177, 624.83837,627.94546,627.94835,629.36940,631.95965,633.86045, 634.39329,634.43876,635.24684,635.57353,642.07626,642.52221,
    5572             :       642.61675,642.65821,644.78296,647.51211,647.69069,650.39144, 651.49095,652.81863,653.35839,653.50852,654.39692,656.07946, 659.11013,660.76831,660.87739,661.04778,664.00348,665.69527,
    5573             :       667.26653,668.46057,670.24465,672.17350,673.89715,675.91056, 678.73410,679.00108,683.82312,686.14941,686.25431,689.74875, 691.84583,692.43390,693.39555,695.67034,698.68691,699.30180,
    5574             :       701.39751,702.13130,702.34477,702.48820,704.07605,706.26241, 707.49624,709.76873,710.23525,711.39242,711.70668,711.79951, 713.26094,715.67344,717.58224,720.66197,720.79252,721.06265,
    5575             :       721.16860,726.42670,726.85383,727.22008,728.02089,729.09961, 729.38670,735.42306,736.60983,737.12743,737.19574,739.42523, 740.67487,741.11239,741.46323,742.71479,743.05573,744.96105,
    5576             :       746.42369,750.21693,752.28113,752.30623,754.17066,754.66886, 757.22144,757.90534,759.13298,760.51590,761.21131,761.41386, 761.80451,762.18538,762.19844,762.25674,762.41079,762.51836,
    5577             :       763.86965,764.74950,765.10416,765.52014,765.81702,766.52539, 766.54990,767.15948,767.83460,768.29860,768.65076,769.32555, 769.91571,770.00305,770.92372,771.15243,771.67935,771.75575,
    5578             :       771.90757,772.21012,772.38477,772.55600,772.66899,772.76102, 772.82340,772.86753,772.89555,772.91231,774.07319,776.31917, 777.36488,777.68091,779.92497,780.39530,785.35574,785.66551,
    5579             :       786.09590,786.97931,787.88133,790.31998,791.16450,791.91368, 792.23247,792.85473,795.61897,797.06088,798.96001,802.44569, 803.05468,805.15748,807.49403,807.55209,812.13684,813.21804,
    5580             :       815.05421,815.13775,815.74654,817.27849,817.31488,817.37136, 817.47005,818.38029,821.66406,822.34113,827.39998,828.12169, 828.40385,828.88785,829.05267,830.36868,832.03569,834.76605,
    5581             :       837.27954,837.74457,838.53019,842.62098,842.96858,845.39140, 847.59843,849.79458,851.78627,852.52821,853.72984,854.43234, 855.56074,856.43991,862.40968,863.81941,864.67406,866.47943,
    5582             :       866.53082,867.37663,867.94232,869.50051,871.68406,872.83467, 873.83971,875.18077,877.19425,878.47998,879.03398,880.73574, 881.16448,882.46587,884.57198,887.52937,889.08728,893.24362,
    5583             :       894.43629,896.67266,898.05161,898.38497,900.40603,901.19854, 902.55658,904.31761,904.89231,905.86123,905.89562,906.44547, 907.80704,911.73914,912.64052,914.16299,914.18098,914.30076,
    5584             :       914.33530,915.18675,915.45812,915.92272,916.43023,917.52807, 917.67791,918.52599,919.44787,920.47375,923.06617,923.25098, 923.47608,923.54971,923.62232,924.96025,926.53233,926.66934,
    5585             :       927.29475,928.16050,929.58199,929.65680,931.04223,931.54989, 931.70958,932.04296,932.07041,932.39291,933.28634,934.80766, 935.07157,936.87075,937.37219,938.58165,939.12825,939.56495,
    5586             :       939.96039,940.45714,941.03969,941.44865,941.85891,942.17315, 942.45952,942.68728,942.88216,943.03783,943.16469,943.26405, 943.34120,943.39912,943.44137,943.47083,943.49025,943.50199,
    5587             :       943.79047,947.87800,948.43442,948.53483,948.56294,952.12116, 952.58316,952.96844,954.82836,955.21079,956.17730,956.95770, 964.75002,964.77764,965.65016,966.57334,969.03812,971.45067,
    5588             :       973.60348,973.64299,975.08323,978.60769,980.05791,981.30244, 981.73115,982.19069,984.42432,989.97471,990.96917,994.26992,48807,996.00256,998.71200,998.75965,999.58274};
    5589             : 
    5590             :     static const double flin[755]={
    5591             :       .130E+01, .273E+01, .618E+01, .719E+01, .601E+01, .281E+01, .503E+01, .367E+01, .513E+01, .161E+01, .401E+01, .113E+01, .972E+00, .818E+01, .738E+01, .164E+01, .373E+01, .149E+01,
    5592             :       .257E+01, .124E+01, .700E+01, .140E+01, .276E+01, .479E+01, .801E+00, .156E+01, .514E+00, .216E+01, .107E+01, .464E+01, .755E+01, .580E+01, .126E+01, .409E+01, .639E+01, .799E+01,
    5593             :       .232E+01, .266E+01, .186E+01, .645E+00, .652E+01, .422E+01, .680E+01, .245E+01, .217E+01, .544E+01, .562E+01, .231E+01, .339E+01, .115E+01, .283E+01, .194E+01, .325E+01, .779E+01,
    5594             :       .541E+01, .775E+01, .441E+01, .334E+01, .895E+00, .517E+00, .661E+01, .248E+01, .907E+00, .431E+01, .432E+01, .541E+01, .790E+01, .294E+01, .423E+01, .589E+01, .760E+01, .902E+00,
    5595             :       .100E+01, .675E+01, .197E+01, .684E+01, .185E+01, .568E+01, .641E+01, .230E+01, .712E+01, .453E+01, .300E+01, .522E+01, .417E+00, .431E+01, .422E+01, .739E+01, .401E+01, .282E+01,
    5596             :       .793E+01, .620E+01, .756E+00, .809E+01, .554E+00, .270E+01, .394E+00, .578E+01, .417E+01, .501E+01, .822E+01, .201E+01, .381E+01, .158E+01, .585E+01, .394E+01, .719E+01, .711E+01,
    5597             :       .313E+01, .833E+01, .391E+01, .600E+01, .139E+01, .384E+01, .355E+01, .259E+01, .341E+00, .480E+01, .709E+01, .699E+01, .163E+00, .359E+01, .582E+01, .238E+01, .579E+01, .499E+01,
    5598             :       .839E+01, .593E+01, .308E+01, .797E+01, .651E+00, .459E+01, .115E+01, .338E+01, .678E+01, .733E+01, .112E+02, .132E+02, .909E+01, .558E+01, .216E+01, .149E+02, .616E+01, .937E+00,
    5599             :       .703E+01, .285E+00, .777E+01, .437E+01, .590E+01, .517E+01, .463E+01, .824E+01, .162E+02, .428E+01, .657E+01, .316E+01, .491E+01, .357E+01, .194E+01, .536E+01, .742E+01, .760E+01,
    5600             :       .218E+01, .713E+00, .857E+00, .756E+01, .416E+01, .169E+02, .749E+01, .575E+01, .145E+01, .294E+01, .636E+01, .250E+01, .571E+00, .171E+01, .515E+01, .551E+01, .503E+00, .563E+01,
    5601             :       .546E+01, .341E+01, .799E+01, .734E+01, .394E+01, .244E+00, .458E+01, .506E+01, .171E+02, .272E+01, .614E+01, .422E+01, .149E+01, .493E+01, .756E+01, .656E+01, .302E+00, .954E+01,
    5602             :       .149E+01, .713E+01, .372E+01, .617E+01, .491E+01, .718E+01, .545E+01, .250E+01, .593E+01, .127E+01, .775E+01, .169E+02, .472E+01, .224E+02, .203E+02, .126E+00, .167E+01, .775E+01,
    5603             :       .549E+01, .242E+02, .692E+01, .350E+01, .179E+02, .511E+00, .227E+01, .571E+01, .214E+00, .155E+02, .105E+01, .253E+02, .890E+01, .450E+01, .596E+01, .670E+01, .327E+01, .132E+02,
    5604             :       .116E+02, .612E+01, .177E+01, .205E+01, .165E+02, .549E+01, .259E+02, .836E+00, .212E+01, .769E+01, .112E+02, .428E+01, .764E+01, .755E+01, .634E+01, .649E+01, .305E+01, .700E+01,
    5605             :       .108E+02, .940E+01, .183E+01, .527E+01, .643E+01, .628E+00, .748E+01, .786E+01, .405E+01, .259E+02, .809E+01, .191E+00, .466E+00, .627E+01, .283E+01, .650E+01, .263E+01, .137E+02,
    5606             :       .662E+01, .160E+02, .160E+01, .204E+01, .524E+01, .505E+01, .432E+00, .404E+01, .285E+01, .726E+01, .160E+01, .885E+00, .224E+01, .128E+02, .344E+01, .383E+01, .459E+01, .318E+02,
    5607             :       .572E+01, .295E+02, .684E+01, .261E+01, .605E+01, .743E+01, .335E+02, .793E+01, .269E+02, .139E+01, .255E+02, .483E+01, .252E+00, .683E+01, .684E+01, .898E+01, .932E+01, .322E+01,
    5608             :       .704E+01, .345E+02, .361E+01, .242E+02, .996E+01, .238E+01, .583E+01, .157E+02, .117E+01, .174E+00, .148E+02, .461E+01, .156E+02, .101E+00, .109E+02, .216E+02, .759E+01, .752E+01,
    5609             :       .431E+00, .682E+01, .349E+02, .338E+01, .218E+01, .698E+01, .387E+01, .216E+01, .561E+01, .117E+02, .735E+01, .248E+02, .959E+00, .439E+01, .192E+02, .249E+01, .661E+01, .316E+01,
    5610             :       .123E+02, .168E+02, .194E+01, .539E+01, .347E+02, .178E+02, .112E+02, .754E+00, .171E+02, .463E+01, .416E+01, .709E+01, .261E+01, .638E+01, .153E+02, .294E+01, .161E+00, .129E+02,
    5611             :       .172E+01, .153E+02, .772E+01, .516E+01, .559E+00, .361E+02, .738E+01, .732E+01, .242E+02, .394E+01, .551E+01, .277E+01, .218E+01, .189E+02, .616E+01, .137E+02, .272E+01, .897E+01,
    5612             :       .134E+02, .332E+02, .150E+01, .717E+01, .494E+01, .199E+02, .378E+00, .122E+02, .716E+01, .814E+01, .372E+01, .654E+01, .294E+01, .109E+02, .594E+01, .249E+01, .132E+02, .303E+02,
    5613             :       .959E+01, .129E+01, .150E+02, .472E+01, .138E+02, .151E+00, .836E+01, .216E+00, .716E+01, .694E+01, .599E+01, .893E+01, .101E+02, .774E+01, .657E+01, .481E+01, .113E+02, .540E+01,
    5614             :       .422E+01, .362E+01, .300E+01, .236E+01, .167E+01, .910E+00, .209E+02, .349E+01, .125E+02, .731E+01, .313E+01, .137E+02, .776E+01, .572E+01, .236E+02, .227E+01, .722E+01, .149E+02,
    5615             :       .276E+02, .108E+01, .219E+02, .160E+02, .450E+01, .841E-01, .672E+01, .327E+01, .140E+02, .171E+02, .331E+01, .918E+01, .878E+01, .204E+01, .550E+01, .205E+01, .880E+00, .252E+02,
    5616             :       .180E+02, .106E+02, .427E+01, .153E+02, .230E+02, .650E+01, .149E+02, .352E+01, .305E+01, .142E+00, .726E+01, .731E+01, .189E+02, .527E+01, .184E+01, .108E+02, .142E+02, .240E+02,
    5617             :       .687E+00, .231E+02, .405E+01, .231E+02, .890E+01, .627E+01, .283E+01, .196E+02, .366E+01, .162E+01, .505E+01, .126E+02, .213E+02, .504E+00, .250E+02, .383E+01, .390E+01, .728E+01,
    5618             :       .605E+01, .349E+01, .202E+02, .144E+02, .261E+01, .175E+02, .731E+01, .148E+02, .134E+00, .141E+01, .483E+01, .196E+02, .260E+02, .705E+01, .336E+00, .146E+02, .124E+02, .360E+01,
    5619             :       .181E+01, .100E+02, .583E+01, .358E+01, .181E+02, .208E+02, .239E+01, .228E+02, .121E+01, .460E+01, .398E+01, .270E+02, .167E+02, .683E+01, .427E+01, .189E+00, .145E+02, .730E+01,
    5620             :       .338E+01, .153E+02, .561E+01, .372E+01, .166E+02, .217E+01, .140E+02, .732E+01, .212E+02, .280E+02, .185E+02, .172E+02, .101E+01, .197E+02, .197E+02, .127E+02, .159E+02, .438E+01,
    5621             :       .146E+02, .210E+02, .127E+00, .133E+02, .115E+02, .661E+01, .148E+02, .121E+02, .721E-01, .103E+02, .109E+02, .222E+02, .971E+01, .912E+01, .853E+01, .794E+01, .735E+01, .316E+01,
    5622             :       .677E+01, .618E+01, .559E+01, .499E+01, .438E+01, .376E+01, .312E+01, .244E+01, .172E+01, .926E+00, .983E+01, .234E+02, .388E+01, .538E+01, .196E+01, .465E+01, .146E+02, .291E+02,
    5623             :       .245E+02, .813E+00, .416E+01, .187E+02, .732E+01, .638E+01, .215E+02, .422E+01, .144E+02, .294E+01, .255E+02, .406E+01, .516E+01, .174E+01, .733E+01, .301E+02, .630E+00, .394E+01,
    5624             :       .505E+01, .264E+02, .218E+02, .616E+01, .115E+02, .291E+02, .153E+01, .121E+00, .147E+02, .272E+01, .424E+01, .217E+02, .494E+01, .208E+02, .146E+02, .153E+01, .311E+02, .271E+02,
    5625             :       .458E+00, .733E+01, .371E+01, .594E+01, .273E+02, .549E+01, .250E+01, .419E-04, .436E+01, .443E+01, .471E+01, .321E+02, .133E+01, .734E+01, .303E+00, .349E+01, .256E+02, .219E+02,
    5626             :       .165E+02, .239E+02, .571E+01, .229E+02, .601E+01, .229E+01, .147E+02, .147E+02, .462E+01, .331E+02, .449E+01, .113E+01, .671E+01, .240E+02, .734E+01, .168E+00, .327E+01, .549E+01,
    5627             :       .663E+01, .226E+02, .207E+01, .449E+01, .701E-03, .341E+02, .481E+01, .427E+01, .734E+01, .132E+02, .940E+00, .649E+01, .212E+02, .250E+02, .315E-01, .258E+02, .272E+02, .739E+01,
    5628             :       .305E+01, .438E+01, .245E+02, .285E+02, .198E+02, .260E+02, .231E+02, .527E+01, .147E+02, .218E+02, .185E+02, .186E+01, .457E+01, .204E+02, .125E+01, .351E+02, .500E+01, .191E+02,
    5629             :       .148E+02, .172E+02, .405E+01, .178E+02, .756E+00, .735E+01, .627E+01, .830E+01, .159E+02, .165E+02, .187E+02, .153E+02, .147E+02, .141E+02, .135E+02, .129E+02, .123E+02, .284E+01,
    5630             :       .117E+02, .111E+02, .105E+02, .990E+01, .931E+01, .872E+01, .814E+01, .755E+01, .696E+01, .636E+01, .576E+01, .515E+01, .452E+01, .388E+01, .321E+01, .251E+01, .176E+01, .938E+00,
    5631             :       .504E+01, .361E+02, .166E+01, .940E+01, .469E+01, .370E-02, .518E+01, .735E+01, .383E+01, .271E+02, .291E+00, .604E+01, .107E+02, .262E+01, .147E+02, .281E+02, .482E+01, .371E+02,
    5632             :       .146E+01, .483E+01, .536E+01, .735E+01, .361E+01, .210E+00, .122E+02, .582E+01, .427E+01, .241E+01, .152E+02, .460E+01, .381E+02, .210E+02, .499E+01, .126E+01, .292E+02};
    5633             : 
    5634             :     static const double el[755]={
    5635             :       682.516,  243.976,  951.665, 1290.007,  907.719,  181.886, 627.914,  343.899,  664.252,   11.099,  428.283,  143.333, 181.475, 1678.993, 1342.286, 1386.052,  370.149,   48.796,
    5636             :       199.964,  109.815, 1238.177, 1501.723,  291.423,  591.306, 224.128,  604.720,    3.612,   70.605,  763.623,  556.957, 1395.373,  863.669,  80.856,  399.113,  996.311, 1619.948,
    5637             :       144.440,  343.944,  531.828,  271.301, 1042.311,  490.079, 1187.299,  401.506,  464.157, 740.476,  821.657,  160.567, 315.865,   56.510,   21.592, 1273.737,  291.421, 1561.881,
    5638             :       701.605, 1449.668,  522.425,  221.710,  849.049,  323.023, 1137.802,    3.647,   30.228,  12.062,  556.898,  780.205, 1505.247,   95.890,  490.169,  25.187, 1505.219,   36.742,
    5639             :       0.000, 1089.402,  125.791,   1137.788,  111.270,  821.603, 1089.409, 1166.292,   43.091, 458.292,  266.405,  740.478, 379.232,  628.705,   36.706, 1449.691,  458.327,  243.916,
    5640             :       65.633, 1042.277,  938.924,  1561.946,   21.613, 1063.966, 16.602,  780.278,  705.574,   701.651, 1619.927,    3.583, 428.288,   95.886,  907.680,  266.350, 1395.323, 1238.221,
    5641             :       966.687,   92.879,  787.473,  996.338,   83.185,  125.879, 874.463,  221.699,  439.980,  664.261, 1187.215, 1342.221, 11.076,  399.027,   56.487,   201.445,  951.691,  522.431,
    5642             :       124.607,  998.760,   12.015, 1739.214, 1033.221,  627.912, 70.692,  371.386, 1290.355,  1343.443,  134.022,  172.152, 100.765,  908.188,  181.870,  215.004,  863.702,   60.052,
    5643             :       72.348,  505.228, 1680.244,   592.891, 1094.707,   48.844, 315.835,  160.822,  262.534,   25.174, 1239.672,  344.733, 160.600,   30.228,  163.870,  865.936, 1290.012,   80.882,
    5644             :       16.567,   50.241,    7.812,  1622.371,  559.091,  314.709, 1453.696, 1195.792,   11.162, 319.341, 1190.209,   21.608, 1132.117,  146.832,  824.858, 591.341,   41.828,   43.125,
    5645             :       1301.987,   36.693,  201.455,1565.707,  526.458,  574.945, 1529.665, 1413.259,  371.412, 295.151, 1141.941,   56.515, 131.261,  785.007, 1568.830,  951.958,   34.555,  109.831,
    5646             :       5.246, 1510.244,  495.088,    199.987,   80.870,   65.626, 370.100,  272.237, 1094.985,  116.695, 1397.557,  432.643, 746.446,  516.120,  448.284,   28.572,    7.898,  246.663,
    5647             :       109.759,  588.602, 1456.087,  464.853,  385.351, 1235.394, 250.483, 1049.127,  649.204,  327.194,  103.496,  665.691, 92.829,  709.001,  143.382,  1403.032,  435.903,  273.997,
    5648             :       143.360,  665.052,   11.127,  229.963,  498.327, 1004.478, 747.460,   91.365,   16.562, 1807.963,  225.750,  672.752, 244.184,  296.214,  181.444, 1351.182,  408.170, 1045.151,
    5649             :       124.596,  182.534,  210.728,  961.029,  429.185,   80.556, 1749.014,  144.416,  637.812, 833.703, 1510.021,  727.881, 1343.130, 1300.634,  381.633, 111.235,   30.180,  181.476,
    5650             :       224.154,  568.416,  192.609,   21.608,   83.201,  918.886, 70.841,   60.097,   41.892,  1691.268,   28.550,   23.737, 34.527,  160.800,   50.199,   603.972,   70.638, 1043.090,
    5651             :       95.825,  945.697,  125.841,   356.205, 1251.190,  350.381, 1145.169,  160.566,  853.146, 175.687,  924.336,  877.845, 62.433,  271.321,  743.705,   199.981,  292.936,   48.849,
    5652             :       1634.625, 1251.796,  571.439, 765.410,  244.167,  332.077, 1203.049,  224.075,  160.071, 811.044,  201.432,  838.108, 642.979,   55.224,  293.010,  682.480,  493.035, 1143.200,
    5653             :       1455.395, 1579.284, 1362.953, 540.106,   36.741,  323.061, 72.363,  309.254, 1156.010,   346.399,  408.927, 1019.300, 145.555,  799.473,  604.652,   20.123, 1525.146,  509.978,
    5654             :       404.526,  246.595,  287.532, 1110.274, 1478.445,  271.343, 346.486,  132.343,  531.822,  100.709,  762.141,  379.289, 23.715, 1472.110,  721.899,   480.952,  898.649,  467.190,
    5655             :       267.014,  464.069,  827.146, 1065.641,  120.232, 1503.292, 1885.080,  471.895, 1118.762, 726.012,  134.070,   28.522, 56.468,  296.201, 1420.376,   401.449,  453.229,  561.600,
    5656             :       534.491, 1386.016,  247.697,  440.022, 1022.310,  323.066, 109.423,  343.892, 1826.147, 1246.043,  690.985,  172.122, 34.592,  291.398, 1369.844,   426.708,  404.568, 1273.697,
    5657             :       243.949,  229.583,  805.253,  980.081,  606.337,  990.732, 201.416,   99.715,  163.869, 1768.416,  131.182,  221.676, 266.369,  181.864,  146.845,  103.434,  315.829,  116.726,
    5658             :       91.411,   80.510,   70.902,    62.400,   55.197,   49.196, 350.362,  657.260,  370.138,  539.412,   41.851,  429.177, 215.030, 1320.415, 1222.503,  401.389,  505.176,  493.024,
    5659             :       1166.236,  212.770,  379.230, 561.561,  939.154,   91.307, 1711.887,  624.738,  682.738, 634.869,   50.245,  262.554, 915.328,   80.826, 1272.287,  377.271,  197.059, 1063.938,
    5660             :       712.833,  634.931,  899.429,  467.198,  408.889, 1656.560, 893.007,   60.043,  593.417, 1087.410,  574.967,  611.386, 795.441, 1225.361,  354.456,  314.748,  763.606,  440.025,
    5661             :       182.649,  966.592,  860.806, 1330.613, 1353.731, 1602.334, 563.298,  882.685,   70.654,  332.742, 1179.637,  371.469, 874.468,  169.340,  471.894,  823.485,   83.140,  649.110,
    5662             :       1549.410,   44.374,  974.564, 848.957,  534.381,  534.476, 687.917,  985.208, 1188.385,  312.230, 1135.014,  787.410, 505.240, 1970.224,  157.332,  432.684,  712.878,  787.365,
    5663             :       109.760, 1008.207, 1497.687,   49.169,  705.531, 1070.879, 506.665, 1443.175,  292.918, 1091.693,   95.790,  539.483, 628.723, 1911.302,  111.285,  146.525,  938.909,  727.817,
    5664             :       752.447,  556.865, 1447.166,   55.164,  498.275,  480.151, 490.128,  768.795, 1171.836,  574.970,  743.637,  665.127, 274.908,  827.090,  606.289,  428.286,  591.279, 1049.574,
    5665             :       522.409,  915.267, 1293.950,  458.330,  371.315, 1853.681, 1081.980,  399.051,  136.818, 319.396,  344.679, 1008.247, 295.118,  272.214,  250.470,  229.959,  210.634,  718.730,
    5666             :       192.623,  175.708,  160.000,  145.592,  132.286,  120.282, 109.379,   99.777,   91.275,   84.075, 1466.119, 1105.911, 62.461, 1397.845,  454.838,   144.415, 1033.277,  611.462,
    5667             :       1208.341,  257.999, 1008.656, 568.438,  810.998, 1797.162, 1277.347,  125.817,  795.484, 686.215, 1315.323,   70.856, 1349.727,  430.726,  854.213, 649.111,  242.390,  968.839,
    5668             :       182.550, 1427.046,  682.717, 1741.843, 1105.942, 1529.639, 143.334, 1403.891, 1183.033,  654.900,   80.557, 1387.323, 1302.809,  642.886, 1132.078, 407.815,  687.935, 1543.303,
    5669             :       227.883,  898.660,  930.323, 1687.726, 1413.209,  225.793, 624.687,    3.582,  160.486,   91.350, 1257.093,  727.859, 386.105,  944.162,  214.676,  893.008, 1301.967, 1501.780,
    5670             :       882.678,  763.537, 1634.810,  721.835,  274.030,  595.875, 1235.427, 1288.662,  103.466, 768.804, 1212.477,  365.695, 2063.475, 1195.812,  990.811, 202.569,  856.894, 1583.095,
    5671             :       327.137, 1094.730,  568.164,   78.048,   11.951,  811.013, 116.647, 1169.163, 1038.535, 1208.289,  346.387, 2004.560, 998.695,  805.206,  191.763, 1353.690, 1466.189,  385.283,
    5672             :       821.982,  199.941, 1246.028, 1583.405,  907.681,  848.928, 1143.221, 1532.580, 1343.136,1045.187,  821.562,  541.653, 84.042,  951.939,  181.435,   854.271,  131.196,  863.689,
    5673             :       1398.659,  740.417, 1127.049, 780.246,  328.279, 1087.355, 1946.947,  448.231,  664.230, 701.614,  974.471,  627.898, 592.885,  558.999,  526.475,  495.017,  464.891,  788.270,
    5674             :       435.851,  408.127,  381.599,  356.279,  332.059,  309.144, 287.531,  267.020,  247.710,  229.603,  212.697,  197.092, 182.588,  169.385,  157.283,  146.482,  136.881,  128.381,
    5675             :       1483.267,  898.670,  516.344, 516.039,   91.337,   25.167, 146.844, 1137.326, 1086.137,  893.018,  311.472, 1890.434, 588.560,  755.759, 1455.417,  938.872, 1435.154,  944.138,
    5676             :       492.235,   99.733,  163.864, 1188.394, 1046.425,  295.765, 665.744, 1835.122,  244.115,  724.448, 1315.301, 1388.242, 990.732, 1070.959,  109.429,  469.326,  985.287};
    5677             : 
    5678             :     static const double texpO3[755] ={
    5679             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76, 0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76, 0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.77,0.79,0.76,0.76,
    5680             :       0.77,0.76,0.76,0.76,0.76,0.80,0.76,0.76,0.76,0.76,0.76,0.78, 0.79,0.77,0.76,0.76,0.78,0.76,0.76,0.76,0.80,0.78,0.76,0.76, 0.76,0.76,0.76,0.76,0.80,0.76,0.76,0.77,0.79,0.76,0.76,0.77,
    5681             :       0.76,0.76,0.77,0.76,0.77,0.76,0.76,0.76,0.77,0.79,0.78,0.81, 0.76,0.81,0.77,0.76,0.79,0.78,0.77,0.76,0.76,0.76,0.76,0.76, 0.76,0.81,0.81,0.81,0.76,0.76,0.79,0.77,0.76,0.78,0.76,0.76,
    5682             :       0.76,0.77,0.76,0.76,0.77,0.77,0.76,0.78,0.76,0.80,0.76,0.76, 0.76,0.79,0.77,0.78,0.76,0.80,0.77,0.76,0.76,0.76,0.76,0.80, 0.77,0.79,0.76,0.76,0.77,0.78,0.77,0.82,0.78,0.78,0.82,0.77,
    5683             :       0.77,0.76,0.76,0.80,0.76,0.77,0.79,0.78,0.78,0.77,0.76,0.79, 0.78,0.76,0.77,0.81,0.76,0.77,0.76,0.77,0.76,0.76,0.80,0.79, 0.76,0.76,0.76,0.78,0.76,0.76,0.76,0.77,0.81,0.80,0.76,0.77,
    5684             :       0.76,0.77,0.78,0.76,0.79,0.76,0.76,0.76,0.79,0.78,0.76,0.77, 0.77,0.81,0.76,0.82,0.76,0.77,0.76,0.76,0.79,0.78,0.77,0.77, 0.79,0.78,0.76,0.77,0.76,0.79,0.81,0.80,0.79,0.76,0.76,0.78,
    5685             :       0.77,0.80,0.76,0.79,0.79,0.76,0.78,0.82,0.76,0.79,0.77,0.81, 0.77,0.80,0.78,0.76,0.79,0.78,0.78,0.81,0.76,0.78,0.80,0.82, 0.81,0.77,0.76,0.76,0.78,0.80,0.78,0.79,0.78,0.76,0.79,0.83,
    5686             :       0.78,0.78,0.78,0.82,0.79,0.77,0.76,0.77,0.80,0.82,0.76,0.76, 0.76,0.76,0.79,0.77,0.77,0.78,0.78,0.80,0.77,0.76,0.77,0.81, 0.77,0.77,0.76,0.76,0.76,0.76,0.76,0.78,0.78,0.80,0.77,0.83,
    5687             :       0.77,0.82,0.77,0.78,0.76,0.79,0.83,0.78,0.82,0.77,0.82,0.81, 0.76,0.79,0.81,0.78,0.79,0.77,0.76,0.84,0.79,0.81,0.78,0.78, 0.76,0.78,0.77,0.76,0.78,0.81,0.81,0.76,0.79,0.81,0.80,0.83,
    5688             :       0.76,0.76,0.76,0.79,0.77,0.79,0.77,0.78,0.76,0.79,0.79,0.83, 0.77,0.81,0.80,0.76,0.76,0.79,0.79,0.79,0.78,0.82,0.76,0.79, 0.79,0.77,0.80,0.77,0.80,0.79,0.76,0.76,0.81,0.79,0.76,0.80,
    5689             :       0.78,0.79,0.82,0.76,0.77,0.76,0.76,0.80,0.83,0.80,0.78,0.76, 0.77,0.79,0.76,0.79,0.79,0.80,0.80,0.76,0.78,0.80,0.76,0.79, 0.77,0.79,0.76,0.84,0.80,0.78,0.76,0.78,0.76,0.79,0.79,0.84,
    5690             :       0.78,0.77,0.82,0.76,0.81,0.76,0.78,0.77,0.77,0.76,0.77,0.78, 0.78,0.78,0.77,0.77,0.79,0.77,0.77,0.77,0.77,0.76,0.76,0.76, 0.79,0.80,0.79,0.80,0.77,0.79,0.78,0.76,0.84,0.78,0.80,0.80,
    5691             :       0.83,0.77,0.79,0.80,0.81,0.76,0.76,0.79,0.81,0.81,0.77,0.79, 0.82,0.77,0.76,0.78,0.77,0.83,0.81,0.81,0.76,0.80,0.80,0.76, 0.82,0.77,0.79,0.76,0.81,0.81,0.82,0.76,0.78,0.79,0.82,0.80,
    5692             :       0.77,0.82,0.76,0.76,0.76,0.76,0.79,0.82,0.77,0.78,0.76,0.79, 0.82,0.77,0.80,0.76,0.77,0.81,0.76,0.76,0.83,0.82,0.79,0.80, 0.81,0.83,0.76,0.78,0.76,0.81,0.80,0.76,0.77,0.80,0.81,0.76,
    5693             :       0.77,0.83,0.76,0.76,0.81,0.83,0.79,0.76,0.78,0.76,0.77,0.81, 0.80,0.76,0.77,0.77,0.83,0.82,0.76,0.80,0.76,0.76,0.80,0.79, 0.79,0.82,0.84,0.81,0.81,0.81,0.77,0.82,0.81,0.79,0.80,0.76,
    5694             :       0.80,0.82,0.76,0.79,0.79,0.76,0.83,0.79,0.76,0.78,0.79,0.83, 0.78,0.78,0.78,0.78,0.78,0.76,0.77,0.77,0.77,0.77,0.77,0.77, 0.77,0.77,0.76,0.76,0.76,0.83,0.77,0.76,0.78,0.78,0.83,0.81,
    5695             :       0.84,0.77,0.76,0.81,0.82,0.76,0.76,0.77,0.82,0.76,0.76,0.77, 0.76,0.78,0.82,0.81,0.77,0.76,0.78,0.76,0.81,0.76,0.83,0.76, 0.78,0.76,0.84,0.76,0.77,0.76,0.76,0.81,0.84,0.78,0.82,0.76,
    5696             :       0.77,0.83,0.76,0.76,0.76,0.78,0.76,0.76,0.78,0.77,0.76,0.82, 0.78,0.83,0.77,0.76,0.84,0.76,0.82,0.82,0.76,0.82,0.79,0.76, 0.76,0.79,0.77,0.82,0.76,0.76,0.76,0.83,0.76,0.77,0.76,0.76,
    5697             :       0.79,0.83,0.76,0.76,0.76,0.82,0.77,0.76,0.76,0.84,0.78,0.76, 0.82,0.82,0.76,0.76,0.76,0.79,0.76,0.78,0.84,0.76,0.82,0.82, 0.83,0.76,0.76,0.83,0.81,0.76,0.76,0.82,0.78,0.83,0.77,0.82,
    5698             :       0.76,0.81,0.76,0.81,0.77,0.76,0.76,0.80,0.80,0.81,0.83,0.80, 0.80,0.80,0.79,0.79,0.79,0.76,0.79,0.79,0.79,0.78,0.78,0.78, 0.78,0.78,0.78,0.77,0.77,0.77,0.77,0.77,0.77,0.77,0.77,0.76,
    5699             :       0.76,0.83,0.76,0.80,0.77,0.76,0.77,0.76,0.76,0.83,0.77,0.76, 0.81,0.76,0.76,0.83,0.76,0.83,0.76,0.77,0.78,0.76,0.76,0.77, 0.81,0.76,0.78,0.76,0.76,0.76,0.83,0.83,0.77,0.76,0.83};
    5700             : 
    5701             :     static const double brdO3air[755] ={
    5702             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,
    5703             :       2.4356,2.3000,2.3000,2.3000,2.3000,2.3439,2.1722,2.3000,2.3000, 2.3498,2.3000,2.3000,2.3000,2.3000,2.1338,2.3000,2.3000,2.3000, 2.3000,2.3000,2.3291,2.2166,2.4060,2.5155,2.3000,2.2314,2.3000,
    5704             :       2.3000,2.3000,2.1338,2.2669,2.3000,2.3000,2.3000,2.5895,2.5392, 2.5244,2.1130,2.3000,2.3000,2.3883,2.1456,2.4682,2.3000,2.4771, 2.7405,2.3000,2.3735,2.3000,2.3942,2.3000,2.3000,2.3000,2.4149,
    5705             :       2.1456,2.2492,2.0894,2.3000,2.0953,2.4386,2.3000,2.1574,2.2669, 2.3705,2.3000,2.3000,2.3000,2.5540,2.3000,2.5925,2.0775,2.0835, 2.0953,2.3000,2.6428,2.1722,2.4208,2.3000,2.2314,2.3000,2.3000,
    5706             :       2.3000,2.3291,2.3000,2.3000,2.4445,2.3439,2.3000,2.2877,2.3000, 2.1042,2.3000,2.3000,2.3000,2.1870,2.3735,2.3084,2.3000,2.1249, 2.2936,2.3000,2.5540,2.3000,2.3000,2.1130,2.4711,2.2018,2.3000,
    5707             :       2.3000,2.2936,2.2610,2.3291,2.0716,2.3291,2.2344,2.0687,2.4978, 2.3705,2.3000,2.3000,2.1249,2.3000,2.4149,2.2018,2.2610,2.2078, 2.4771,2.3000,2.2166,2.3025,2.4682,2.3498,2.0775,2.3000,2.3143,
    5708             :       2.5244,2.5244,2.5895,2.3000,2.1338,2.1841,2.3000,2.3000,2.5570, 2.2314,2.3000,2.4948,2.3000,2.3735,2.0835,2.1042,2.5540,2.4060, 2.3000,2.4415,2.2344,2.3000,2.1456,2.3000,2.3000,2.3000,2.1604,
    5709             :       2.2492,2.3000,2.3912,2.3942,2.0894,2.3000,2.0598,2.5836,2.2640, 2.6901,2.3000,2.1574,2.2640,2.3498,2.3439,2.1722,2.2669,2.3000, 2.4208,2.3000,2.1397,2.0953,2.1190,2.1397,2.3000,2.6191,2.2078,
    5710             :       2.3113,2.1900,2.3000,2.1722,2.1604,2.3000,2.2877,2.0627,2.3000, 2.1841,2.4445,2.1663,2.2877,2.1042,2.2788,2.3000,2.1870,2.2078, 2.2166,2.0894,2.5984,2.3084,2.1190,2.0687,2.1456,2.4711,2.5658,
    5711             :       2.3000,2.2344,2.1130,2.2255,2.1841,2.2462,2.3000,2.2018,2.0568, 2.2403,2.2610,2.3291,2.0716,2.1456,2.4978,2.3000,2.2936,2.1249, 2.1249,2.3000,2.3000,2.3000,2.3000,2.2166,2.3291,2.5126,2.1782,
    5712             :       2.2196,2.1900,2.3498,2.5155,2.3705,2.0775,2.5244,2.4149,2.4682, 2.3000,2.5244,2.5570,2.4948,2.1959,2.1959,2.1338,2.3912,2.0923, 2.3498,2.1071,2.3113,2.2314,2.3000,2.1604,2.0746,2.2788,2.1249,
    5713             :       2.3735,2.1071,2.0835,2.5540,2.1959,2.0775,2.2462,2.1900,2.4623, 2.3000,2.0627,2.1456,2.1456,2.2196,2.2492,2.3000,2.1426,2.3942, 2.3000,2.1604,2.0894,2.1663,2.3000,2.1959,2.1663,2.1249,2.0568,
    5714             :       2.3000,2.3000,2.0509,2.1574,2.4386,2.1722,2.4120,2.2669,2.3000, 2.1722,2.1397,2.0923,2.4208,2.0953,2.1900,2.4948,2.3000,2.1722, 2.1515,2.1278,2.2877,2.0627,2.0391,2.1130,2.1574,2.4445,2.1190,
    5715             :       2.3676,2.1042,2.1515,2.6132,2.3000,2.1456,2.1870,2.3000,2.1308, 2.3084,2.1397,2.0687,2.3000,2.4711,2.0391,2.3000,2.1190,2.0746, 2.1130,2.3232,2.5836,2.3735,2.0983,2.3000,2.1604,2.2018,2.1042,
    5716             :       2.1071,2.0509,2.3291,2.1308,2.3000,2.0864,2.4978,2.1841,2.3000, 2.0598,2.1249,2.2817,2.5540,2.2078,2.3000,2.2166,2.1278,2.0627, 2.2344,2.3498,2.1249,2.3000,2.1782,2.3000,2.2610,2.5244,2.2936,
    5717             :       2.3000,2.3291,2.2462,2.2196,2.2788,2.3113,2.3705,2.1959,2.3498, 2.3912,2.4149,2.4415,2.4682,2.4948,2.5244,2.0746,2.1338,2.1722, 2.1900,2.5244,2.1515,2.2433,2.3000,2.0627,2.2314,2.1071,2.1308,
    5718             :       2.0746,2.3735,2.0657,2.1071,2.0835,2.3000,2.3000,2.1456,2.1574, 2.1782,2.4978,2.2078,2.0598,2.3143,2.3000,2.2492,2.3942,2.0923, 2.1574,2.0894,2.3000,2.0983,2.0539,2.3000,2.1071,2.4711,2.1574,
    5719             :       2.3000,2.1782,2.1663,2.1367,2.3000,2.2669,2.1722,2.1367,2.0450, 2.4208,2.1071,2.3000,2.0509,2.0568,2.3000,2.1722,2.1160,2.4445, 2.2877,2.3000,2.1426,2.1249,2.4445,2.0361,2.3000,2.4208,2.1574,
    5720             :       2.3000,2.4356,2.0983,2.1160,2.1870,2.0716,2.1456,2.0923,2.3000, 2.3084,2.3000,2.1456,2.0272,2.3000,2.4711,2.1130,2.0775,2.3000, 2.2640,2.0568,2.3000,2.5836,2.1663,2.0835,2.2018,2.0391,2.3291,
    5721             :       2.3000,2.3942,2.0183,2.1900,2.3000,2.3735,2.4978,2.0983,2.1367, 2.3000,2.1190,2.3000,2.5540,2.0864,2.2166,2.1397,2.1249,2.0687, 2.0124,2.1574,2.1782,2.3498,2.1367,2.0479,2.1604,2.1071,2.3000,
    5722             :       2.1308,2.1160,2.3000,2.1515,2.1841,2.3000,2.0746,2.1722,2.3000, 2.2078,2.1959,2.0983,2.2196,2.2344,2.2462,2.2610,2.2788,2.3000, 2.2936,2.3113,2.3291,2.3498,2.3705,2.3912,2.4149,2.4415,2.4682,
    5723             :       2.4948,2.0450,2.0835,2.5244,2.3000,2.2314,2.3291,2.0835,2.0035, 2.0687,2.3735,2.3000,2.0598,2.1160,2.3000,2.0568,2.3498,2.0687, 2.3000,2.0568,2.4978,2.3000,2.2492,2.1071,1.9976,2.3942,2.3000,
    5724             :       2.2877,2.0450,2.0272,2.3000,2.0568,2.0391,2.2166,2.3000,2.0627, 2.3000,2.4711,2.0450,2.3000,2.0391,2.0687,2.2669,1.9888,2.0331, 2.4208,2.0983,2.3000,2.3000,2.0509,2.2492,2.3000,2.3000,2.3084,
    5725             :       2.4445,2.3000,1.9828,2.2877,2.0923,2.4445,2.3000,2.0627,2.0331, 2.0598,2.0095,2.3000,2.0183,2.2166,2.3000,2.0568,2.2166,2.4208, 1.9740,2.3000,2.3000,2.3000,2.0746,2.3000,2.4711,2.3000,2.3000,
    5726             :       2.1870,2.0923,2.3000,2.3853,2.3000,1.9680,2.3942,2.3000,2.3000, 2.0598,2.3291,2.3000,2.1071,2.0006,2.3000,2.0568,2.0450,2.1574, 2.3000,2.2669,2.0687,2.0331,2.1249,1.9917,2.0835,2.3000,2.3000,
    5727             :       2.0983,2.1456,2.3000,2.5540,2.1160,2.1782,1.9592,2.3735,2.1367, 2.3000,2.1663,2.3000,2.1574,2.3498,2.3000,2.3000,2.1338,2.1900, 2.1782,2.0568,2.1071,2.1190,2.1308,2.1397,2.1515,2.1604,2.3000,
    5728             :       2.1722,2.1841,2.1959,2.2078,2.2196,2.2344,2.2462,2.2610,2.2788, 2.2936,2.3113,2.3291,2.3498,2.3705,2.3912,2.4149,2.4415,2.4682, 2.3000,1.9532,2.3000,2.1130,2.5244,2.3000,2.3498,2.3000,2.3000,
    5729             :       1.9858,2.3735,2.3000,2.0953,2.3000,2.3000,1.9799,2.3000,1.9444, 2.3000,2.4978,2.3291,2.3000,2.3000,2.3942,2.0835,2.3000,2.2314, 2.3000,2.0568,2.3000,1.9355,2.0568,2.4711,2.3000,1.9710};
    5730             : 
    5731             : 
    5732             :     static const unsigned int ifin1[500]={
    5733             :         3,   4,   5,   6,   6,   7,   9,  11,  12,  13,  14,  18,  18,  21,  24,  27,  30,  30,  30,  30,  31,  33,  34,  36,  38,  39,  41,  41,  43,  44,
    5734             :        45,  46,  48,  49,  49,  51,  53,  54,  55,  56,  58,  61,  63,  63,  64,  65,  65,  66,  67,  70,  71,  72,  73,  74,  77,  79,  81,  82,  83,  84,
    5735             :        85,  86,  87,  87,  87,  89,  90,  92,  92,  93,  95,  97,  97,  99, 101, 101, 103, 106, 108, 108, 111, 111, 112, 113, 117, 118, 118, 120, 120, 120,
    5736             :       120, 121, 123, 123, 125, 125, 126, 129, 130, 130, 131, 134, 134, 134, 135, 137, 138, 139, 140, 140, 144, 147, 147, 148, 149, 151, 153, 154, 157, 159,
    5737             :       159, 160, 160, 164, 164, 164, 167, 168, 171, 171, 172, 174, 174, 175, 176, 177, 178, 181, 182, 185, 187, 188, 189, 190, 192, 192, 193, 194, 194, 195,
    5738             :       198, 198, 199, 202, 204, 204, 206, 208, 208, 208, 209, 211, 213, 215, 217, 218, 222, 222, 222, 223, 224, 226, 227, 229, 229, 231, 231, 232, 232, 235,
    5739             :       238, 238, 238, 240, 241, 242, 244, 246, 247, 247, 249, 250, 252, 253, 255, 256, 256, 258, 259, 259, 260, 263, 265, 265, 266, 268, 271, 272, 274, 277,
    5740             :       277, 279, 279, 286, 288, 290, 291, 292, 296, 296, 298, 300, 301, 301, 305, 307, 309, 310, 311, 312, 313, 314, 315, 315, 318, 319, 322, 322, 325, 329,
    5741             :       329, 330, 331, 333, 334, 336, 338, 338, 340, 340, 340, 341, 343, 343, 343, 345, 347, 348, 350, 353, 353, 355, 355, 356, 358, 360, 360, 361, 361, 365,
    5742             :       365, 366, 368, 370, 372, 372, 374, 377, 378, 379, 380, 382, 384, 385, 387, 388, 390, 390, 391, 393, 395, 396, 396, 398, 400, 403, 404, 406, 413, 424,
    5743             :       426, 427, 428, 432, 433, 433, 435, 436, 438, 439, 440, 440, 442, 443, 444, 447, 449, 449, 449, 453, 454, 454, 456, 457, 459, 462, 463, 463, 466, 467,
    5744             :       468, 469, 471, 472, 473, 474, 475, 476, 477, 477, 478, 480, 480, 481, 483, 484, 485, 486, 487, 491, 492, 493, 494, 496, 499, 500, 501, 502, 504, 506,
    5745             :       506, 508, 510, 512, 512, 512, 514, 516, 518, 521, 523, 524, 524, 525, 527, 529, 529, 531, 533, 541, 543, 548, 552, 556, 569, 570, 571, 573, 575, 575,
    5746             :       575, 579, 580, 581, 585, 585, 586, 588, 588, 589, 590, 591, 593, 593, 594, 595, 598, 603, 603, 605, 605, 605, 609, 611, 612, 613, 613, 616, 616, 618,
    5747             :       618, 619, 620, 621, 623, 625, 627, 627, 627, 628, 630, 632, 634, 635, 637, 638, 639, 641, 643, 645, 646, 646, 647, 648, 648, 650, 651, 653, 654, 656,
    5748             :       658, 661, 662, 662, 664, 668, 672, 675, 677, 677, 683, 685, 687, 689, 695, 697, 699, 701, 705, 712, 722, 722, 726, 726, 729, 730, 733, 733, 733, 733,
    5749             :       735, 737, 737, 738, 739, 741, 742, 743, 744, 747, 748, 748, 748, 750, 750, 752, 753, 755, 755, 755};
    5750             : 
    5751             :       static const unsigned int ini1[500]={
    5752             :           1,   1,   1,   1,   3,   4,   5,   6,   6,   7,  9,  11,  12,  13,  14,  18,  18,  21,  24,  27, 30,  30,  30,  30,  31,  33,  34,  36,  38,  39,
    5753             :          41,  41,  43,  44,  45,  46,  48,  49,  49,  51, 53,  54,  55,  56,  58,  61,  63,  63,  64,  65, 65,  66,  67,  70,  71,  72,  73,  74,  77,  79,
    5754             :          81,  82,  83,  84,  85,  86,  87,  87,  87,  89, 90,  92,  92,  93,  95,  97,  97,  99, 101, 101,103, 106, 108, 108, 111, 111, 112, 113, 117, 118,
    5755             :         118, 120, 120, 120, 120, 121, 123, 123, 125, 125,126, 129, 130, 130, 131, 134, 134, 134, 135, 137,138, 139, 140, 140, 144, 147, 147, 148, 149, 151,
    5756             :         153, 154, 157, 159, 159, 160, 160, 164, 164, 164,167, 168, 171, 171, 172, 174, 174, 175, 176, 177,178, 181, 182, 185, 187, 188, 189, 190, 192, 192,
    5757             :         193, 194, 194, 195, 198, 198, 199, 202, 204, 204,206, 208, 208, 208, 209, 211, 213, 215, 217, 218,222, 222, 222, 223, 224, 226, 227, 229, 229, 231,
    5758             :         231, 232, 232, 235, 238, 238, 238, 240, 241, 242,244, 246, 247, 247, 249, 250, 252, 253, 255, 256,256, 258, 259, 259, 260, 263, 265, 265, 266, 268,
    5759             :         271, 272, 274, 277, 277, 279, 279, 286, 288, 290,291, 292, 296, 296, 298, 300, 301, 301, 305, 307,309, 310, 311, 312, 313, 314, 315, 315, 318, 319,
    5760             :         322, 322, 325, 329, 329, 330, 331, 333, 334, 336,338, 338, 340, 340, 340, 341, 343, 343, 343, 345,347, 348, 350, 353, 353, 355, 355, 356, 358, 360,
    5761             :         360, 361, 361, 365, 365, 366, 368, 370, 372, 372,374, 377, 378, 379, 380, 382, 384, 385, 387, 388,390, 390, 391, 393, 395, 396, 396, 398, 400, 403,
    5762             :         404, 406, 413, 424, 426, 427, 428, 432, 433, 433,435, 436, 438, 439, 440, 440, 442, 443, 444, 447,449, 449, 449, 453, 454, 454, 456, 457, 459, 462,
    5763             :         463, 463, 466, 467, 468, 469, 471, 472, 473, 474,475, 476, 477, 477, 478, 480, 480, 481, 483, 484,485, 486, 487, 491, 492, 493, 494, 496, 499, 500,
    5764             :         501, 502, 504, 506, 506, 508, 510, 512, 512, 512,514, 516, 518, 521, 523, 524, 524, 525, 527, 529,529, 531, 533, 541, 543, 548, 552, 556, 569, 570,
    5765             :         571, 573, 575, 575, 575, 579, 580, 581, 585, 585,586, 588, 588, 589, 590, 591, 593, 593, 594, 595,598, 603, 603, 605, 605, 605, 609, 611, 612, 613,
    5766             :         613, 616, 616, 618, 618, 619, 620, 621, 623, 625,627, 627, 627, 628, 630, 632, 634, 635, 637, 638,639, 641, 643, 645, 646, 646, 647, 648, 648, 650,
    5767             :         651, 653, 654, 656, 658, 661, 662, 662, 664, 668,672, 675, 677, 677, 683, 685, 687, 689, 695, 697,699, 701, 705, 712, 722, 722, 726, 726, 729, 730,
    5768             :         733, 733, 733, 733, 735, 737, 737, 738, 739, 741,742, 743, 744, 747, 748, 748, 748, 750, 750, 752};
    5769             : 
    5770             :         static const unsigned int ifin2[500]={
    5771             :           1,   2,   3,   5,   6,   6,   6,   8,  10,  12,  13,  14,  18,  18,  20,  22,  25,  29,  30,  30, 30,  30,  33,  33,  36,  38,  39,  41,  41,  42,
    5772             :           44,  45,  46,  48,  49,  49,  50,  53,  53,  55, 56,  57,  60,  62,  63,  64,  65,  65,  66,  67, 69,  71,  72,  73,  74,  75,  79,  80,  81,  82,
    5773             :           83,  85,  86,  86,  87,  87,  89,  89,  91,  92, 93,  94,  97,  97,  99,  99, 101, 103, 104, 108, 108, 109, 111, 112, 113, 116, 118, 118, 119, 120,
    5774             :           120, 120, 120, 122, 123, 124, 125, 126, 128, 130, 130, 131, 134, 134, 134, 134, 137, 138, 139, 140, 140, 142, 147, 147, 148, 149, 151, 151, 153, 156,
    5775             :           158, 159, 160, 160, 163, 164, 164, 166, 168, 171, 171, 172, 174, 174, 175, 176, 177, 178, 181, 182, 184, 187, 188, 189, 190, 191, 192, 193, 193, 194,
    5776             :           195, 196, 198, 199, 202, 202, 204, 206, 207, 208, 208, 208, 211, 212, 215, 217, 218, 222, 222, 222, 223, 224, 226, 227, 229, 229, 231, 231, 232, 232,
    5777             :           235, 238, 238, 238, 240, 241, 242, 244, 246, 247, 247, 248, 250, 252, 253, 254, 255, 256, 258, 258, 259, 260, 263, 265, 265, 266, 268, 269, 272, 274,
    5778             :           275, 277, 278, 279, 284, 288, 289, 291, 292, 296, 296, 297, 299, 300, 301, 305, 306, 309, 310, 311, 311, 312, 314, 314, 315, 318, 318, 321, 322, 324,
    5779             :           328, 329, 330, 331, 333, 334, 335, 338, 338, 339, 340, 340, 341, 343, 343, 343, 345, 346, 348, 349, 353, 353, 354, 355, 355, 356, 360, 360, 361, 361,
    5780             :           364, 365, 365, 368, 370, 372, 372, 373, 376, 378, 379, 380, 382, 384, 385, 386, 388, 389, 390, 391, 392, 394, 396, 396, 398, 400, 401, 404, 406, 411,
    5781             :           423, 425, 427, 428, 431, 433, 433, 434, 436, 438, 439, 439, 440, 442, 443, 444, 447, 449, 449, 449, 450, 453, 454, 456, 457, 458, 462, 463, 463, 464,
    5782             :           467, 468, 469, 471, 472, 473, 474, 475, 475, 477, 477, 478, 480, 480, 481, 483, 484, 485, 485, 487, 491, 492, 493, 494, 496, 499, 500, 501, 502, 502,
    5783             :           506, 506, 507, 510, 512, 512, 512, 513, 516, 517, 520, 522, 524, 524, 525, 527, 528, 529, 531, 532, 540, 542, 546, 551, 555, 562, 570, 571, 573, 575,
    5784             :           575, 575, 578, 580, 581, 584, 585, 586, 587, 588, 589, 590, 591, 593, 593, 594, 595, 598, 603, 603, 605, 605, 605, 608, 611, 612, 612, 613, 615, 616,
    5785             :           616, 618, 619, 620, 621, 622, 625, 627, 627, 627, 628, 629, 631, 634, 635, 636, 638, 639, 641, 642, 645, 645, 646, 647, 648, 648, 650, 650, 653, 654,
    5786             :           655, 657, 661, 662, 662, 663, 668, 672, 674, 677, 677, 682, 683, 687, 689, 695, 696, 698, 700, 705, 710, 722, 722, 724, 726, 727, 729, 732, 733, 733,
    5787             :           733, 733, 736, 737, 738, 739, 741, 742, 742, 744, 747, 748, 748, 748, 749, 750, 752, 753, 753, 755};
    5788             : 
    5789             :           static const unsigned int ini2[500]={
    5790             :               1,   1,   1,   3,   4,   5,   6,   6,   7,   9,  12,  12,  14,  16,  18,  19,  21,  25,  29,  30,  30,  30,  30,  31,  33,  34,  38,  39,  39,  41,
    5791             :              41,  43,  44,  46,  47,  49,  49,  49,  52,  53,  55,  56,  56,  59,  62,  63,  64,  64,  65,  65,  66,  68,  70,  71,  73,  73,  74,  78,  79,  81,
    5792             :              82,  83,  85,  85,  86,  87,  87,  89,  89,  91,  92,  92,  94,  96,  97,  97,  99, 101, 101, 103, 107, 108, 108, 111, 112, 112, 116, 118, 118, 118,
    5793             :             120, 120, 120, 120, 121, 123, 123, 125, 125, 127, 129, 130, 130, 131, 134, 134, 134, 136, 137, 138, 140, 140, 142, 144, 147, 147, 149, 150, 151, 153,
    5794             :             154, 157, 159, 159, 160, 161, 164, 164, 165, 167, 168, 171, 172, 172, 174, 174, 175, 176, 177, 178, 182, 183, 185, 187, 188, 190, 190, 192, 193, 193,
    5795             :             194, 194, 196, 198, 199, 201, 202, 204, 204, 206, 208, 208, 208, 209, 211, 214, 216, 217, 220, 222, 222, 222, 223, 225, 226, 227, 229, 230, 231, 231,
    5796             :             232, 232, 237, 238, 238, 239, 241, 242, 243, 244, 246, 247, 248, 249, 250, 252, 254, 255, 256, 257, 258, 259, 259, 260, 263, 265, 265, 266, 268, 272,
    5797             :             272, 274, 277, 277, 279, 280, 286, 289, 291, 291, 294, 296, 296, 298, 300, 301, 303, 306, 308, 310, 310, 311, 312, 314, 314, 315, 316, 318, 320, 322,
    5798             :             323, 327, 329, 329, 330, 331, 334, 335, 337, 338, 338, 340, 340, 341, 342, 343, 343, 343, 345, 348, 348, 350, 353, 353, 355, 355, 356, 358, 360, 361,
    5799             :             361, 362, 365, 365, 366, 368, 371, 372, 373, 374, 378, 378, 379, 380, 382, 385, 385, 387, 388, 390, 390, 392, 393, 395, 396, 397, 398, 400, 404, 405,
    5800             :             407, 417, 424, 426, 428, 428, 432, 433, 434, 435, 438, 438, 439, 440, 440, 443, 443, 444, 448, 449, 449, 449, 453, 454, 454, 456, 458, 460, 462, 463,
    5801             :             464, 467, 467, 468, 470, 471, 472, 473, 474, 475, 477, 477, 477, 478, 480, 480, 481, 484, 484, 485, 487, 488, 491, 492, 494, 494, 497, 500, 500, 501,
    5802             :             502, 506, 506, 506, 509, 512, 512, 512, 513, 516, 517, 520, 522, 523, 524, 524, 525, 527, 529, 530, 532, 535, 541, 544, 549, 553, 557, 569, 570, 572,
    5803             :             573, 575, 575, 576, 579, 580, 582, 585, 585, 587, 588, 588, 590, 591, 592, 593, 593, 595, 597, 602, 603, 603, 605, 605, 606, 610, 611, 612, 613, 614,
    5804             :             616, 616, 618, 619, 619, 620, 621, 623, 625, 627, 627, 627, 628, 630, 633, 634, 635, 637, 639, 640, 642, 644, 645, 646, 646, 648, 648, 649, 650, 651,
    5805             :             653, 655, 656, 658, 661, 662, 662, 664, 670, 672, 676, 677, 680, 683, 686, 687, 690, 696, 698, 700, 702, 707, 720, 722, 722, 726, 726, 729, 731, 733,
    5806             :             733, 733, 733, 735, 737, 738, 739, 739, 742, 742, 743, 745, 747, 748, 748, 748, 750, 750, 752, 753};
    5807             : 
    5808             :       static const unsigned int ifin3[500]={
    5809             :           1,   1,   3,   4,   5,   6,   6,   7,   9,  12,  12,  14,  16,  18,  19,  21,  25,  29,  30,  30,  30,  30,  31,  33,  34,  38,  39,  39,  41,  41,
    5810             :          43,  44,  46,  47,  49,  49,  49,  52,  53,  55,  56,  56,  59,  62,  63,  64,  64,  65,  65,  66,  68,  70,  71,  73,  73,  74,  78,  79,  81,  82,
    5811             :          83,  85,  85,  86,  87,  87,  89,  89,  91,  92,  92,  94,  96,  97,  97,  99, 101, 101, 103, 107, 108, 108, 111, 112, 112, 116, 118, 118, 118, 120,
    5812             :         120, 120, 120, 121, 123, 123, 125, 125, 127, 129, 130, 130, 131, 134, 134, 134, 136, 137, 138, 140, 140, 142, 144, 147, 147, 149, 150, 151, 153, 154,
    5813             :         157, 159, 159, 160, 161, 164, 164, 165, 167, 168, 171, 172, 172, 174, 174, 175, 176, 177, 178, 182, 183, 185, 187, 188, 190, 190, 192, 193, 193, 194,
    5814             :         194, 196, 198, 199, 201, 202, 204, 204, 206, 208, 208, 208, 209, 211, 214, 216, 217, 220, 222, 222, 222, 223, 225, 226, 227, 229, 230, 231, 231, 232,
    5815             :         232, 237, 238, 238, 239, 241, 242, 243, 244, 246, 247, 248, 249, 250, 252, 254, 255, 256, 257, 258, 259, 259, 260, 263, 265, 265, 266, 268, 272, 272,
    5816             :         274, 277, 277, 279, 280, 286, 289, 291, 291, 294, 296, 296, 298, 300, 301, 303, 306, 308, 310, 310, 311, 312, 314, 314, 315, 316, 318, 320, 322, 323,
    5817             :         327, 329, 329, 330, 331, 334, 335, 337, 338, 338, 340, 340, 341, 342, 343, 343, 343, 345, 348, 348, 350, 353, 353, 355, 355, 356, 358, 360, 361, 361,
    5818             :         362, 365, 365, 366, 368, 371, 372, 373, 374, 378, 378, 379, 380, 382, 385, 385, 387, 388, 390, 390, 392, 393, 395, 396, 397, 398, 400, 404, 405, 407,
    5819             :         417, 424, 426, 428, 428, 432, 433, 434, 435, 438, 438, 439, 440, 440, 443, 443, 444, 448, 449, 449, 449, 453, 454, 454, 456, 458, 460, 462, 463, 464,
    5820             :         467, 467, 468, 470, 471, 472, 473, 474, 475, 477, 477, 477, 478, 480, 480, 481, 484, 484, 485, 487, 488, 491, 492, 494, 494, 497, 500, 500, 501, 502,
    5821             :         506, 506, 506, 509, 512, 512, 512, 513, 516, 517, 520, 522, 523, 524, 524, 525, 527, 529, 530, 532, 535, 541, 544, 549, 553, 557, 569, 570, 572, 573,
    5822             :         575, 575, 576, 579, 580, 582, 585, 585, 587, 588, 588, 590, 591, 592, 593, 593, 595, 597, 602, 603, 603, 605, 605, 606, 610, 611, 612, 613, 614, 616,
    5823             :         616, 618, 619, 619, 620, 621, 623, 625, 627, 627, 627, 628, 630, 633, 634, 635, 637, 639, 640, 642, 644, 645, 646, 646, 648, 648, 649, 650, 651, 653,
    5824             :         655, 656, 658, 661, 662, 662, 664, 670, 672, 676, 677, 680, 683, 686, 687, 690, 696, 698, 700, 702, 707, 720, 722, 722, 726, 726, 729, 731, 733, 733,
    5825             :         733, 733, 735, 737, 738, 739, 739, 742, 742, 743, 745, 747, 748, 748, 748, 750, 750, 752, 753, 755};
    5826             : 
    5827             : 
    5828             :       static const unsigned int ini3[500]={
    5829             :           1,   1,   2,   3,   5,   6,   6,   6,   8,  10,  12,  13,  14,  18,  18,  20,  22,  25,  29,  30,  30,  30,  30,  33,  33,  36,  38,  39,  41,  41,
    5830             :          42,  44,  45,  46,  48,  49,  49,  50,  53,  53,  55,  56,  57,  60,  62,  63,  64,  65,  65,  66,  67,  69,  71,  72,  73,  74,  75,  79,  80,  81,
    5831             :          82,  83,  85,  86,  86,  87,  87,  89,  89,  91,  92,  93,  94,  97,  97,  99,  99, 101, 103, 104, 108, 108, 109, 111, 112, 113, 116, 118, 118, 119,
    5832             :         120, 120, 120, 120, 122, 123, 124, 125, 126, 128, 130, 130, 131, 134, 134, 134, 134, 137, 138, 139, 140, 140, 142, 147, 147, 148, 149, 151, 151, 153,
    5833             :         156, 158, 159, 160, 160, 163, 164, 164, 166, 168, 171, 171, 172, 174, 174, 175, 176, 177, 178, 181, 182, 184, 187, 188, 189, 190, 191, 192, 193, 193,
    5834             :         194, 195, 196, 198, 199, 202, 202, 204, 206, 207, 208, 208, 208, 211, 212, 215, 217, 218, 222, 222, 222, 223, 224, 226, 227, 229, 229, 231, 231, 232,
    5835             :         232, 235, 238, 238, 238, 240, 241, 242, 244, 246, 247, 247, 248, 250, 252, 253, 254, 255, 256, 258, 258, 259, 260, 263, 265, 265, 266, 268, 269, 272,
    5836             :         274, 275, 277, 278, 279, 284, 288, 289, 291, 292, 296, 296, 297, 299, 300, 301, 305, 306, 309, 310, 311, 311, 312, 314, 314, 315, 318, 318, 321, 322,
    5837             :         324, 328, 329, 330, 331, 333, 334, 335, 338, 338, 339, 340, 340, 341, 343, 343, 343, 345, 346, 348, 349, 353, 353, 354, 355, 355, 356, 360, 360, 361,
    5838             :         361, 364, 365, 365, 368, 370, 372, 372, 373, 376, 378, 379, 380, 382, 384, 385, 386, 388, 389, 390, 391, 392, 394, 396, 396, 398, 400, 401, 404, 406,
    5839             :         411, 423, 425, 427, 428, 431, 433, 433, 434, 436, 438, 439, 439, 440, 442, 443, 444, 447, 449, 449, 449, 450, 453, 454, 456, 457, 458, 462, 463, 463,
    5840             :         464, 467, 468, 469, 471, 472, 473, 474, 475, 475, 477, 477, 478, 480, 480, 481, 483, 484, 485, 485, 487, 491, 492, 493, 494, 496, 499, 500, 501, 502,
    5841             :         502, 506, 506, 507, 510, 512, 512, 512, 513, 516, 517, 520, 522, 524, 524, 525, 527, 528, 529, 531, 532, 540, 542, 546, 551, 555, 562, 570, 571, 573,
    5842             :         575, 575, 575, 578, 580, 581, 584, 585, 586, 587, 588, 589, 590, 591, 593, 593, 594, 595, 598, 603, 603, 605, 605, 605, 608, 611, 612, 612, 613, 615,
    5843             :         616, 616, 618, 619, 620, 621, 622, 625, 627, 627, 627, 628, 629, 631, 634, 635, 636, 638, 639, 641, 642, 645, 645, 646, 647, 648, 648, 650, 650, 653,
    5844             :         654, 655, 657, 661, 662, 662, 663, 668, 672, 674, 677, 677, 682, 683, 687, 689, 695, 696, 698, 700, 705, 710, 722, 722, 724, 726, 727, 729, 732, 733,
    5845             :         733, 733, 733, 736, 737, 738, 739, 741, 742, 742, 744, 747, 748, 748, 748, 749, 750, 752, 753, 753};
    5846             : 
    5847             : 
    5848             : 
    5849             :     static const double pi=3.141592654;
    5850             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
    5851             :     static const double mu=0.53;  //Debyes
    5852             :     static const double mmol=50.0;
    5853             : 
    5854             :     //double q=0.678068387*pow(tt,1.5);
    5855    10668574 :     double q=0.678068387*tt*sqrt(tt);
    5856             :     unsigned int vp;
    5857             :     unsigned int ini;
    5858             :     unsigned int ifin;
    5859    10668574 :     std::complex<double>  lshape;
    5860    10668574 :     std::complex<double>  lshapeacum;
    5861             : 
    5862    10668574 :     if(nu>999.9){
    5863             : 
    5864           0 :       return std::complex<double> (0.0,0.0);
    5865             : 
    5866             :     }else{
    5867             : 
    5868    10668574 :       vp = vpIndex(nu);
    5869             : 
    5870    10668574 :       if(pp<25){ ini=ini3[vp]; ifin=ifin3[vp]; }else{ if(pp<300){ ini=ini2[vp]; ifin=ifin2[vp]; }else{ ini=ini1[vp]; ifin=ifin1[vp]; } }
    5871    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
    5872    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
    5873             : 
    5874    10668574 :       if(ifin==0||ifin<ini){
    5875             : 
    5876      109200 :         return std::complex<double> (0.0,0.0);
    5877             : 
    5878             :       }else{
    5879             : 
    5880    55218113 :         for(unsigned int i=ini; i<ifin+1; i++){
    5881             : 
    5882    44658739 :           lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,brdO3air[i]*0.001,texpO3[i]),0.0);   // broadening en GHz/mb 14/11/2018
    5883             :           //      lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,0.0025,0.76),0.0);
    5884    44658739 :           lshape=lshape*flin[i]*exp(-el[i]/tt)*fre[i];
    5885    44658739 :           lshapeacum=lshapeacum+lshape;
    5886             : 
    5887             :         }
    5888             : 
    5889    10559374 :         lshapeacum=lshapeacum*(nu/pi)*(0.047992745509/tt)*(picube8div3hcesu*pow(mu,2)/q);  // imaginary part: absorption coefficient in cm^2
    5890             :                                                                                                           // real part: delay in rad*cm^2
    5891             : 
    5892    10559374 :         return lshapeacum*1e-4;    // to give it in SI units (m^2)    // (  rad m^2 , m^2 )
    5893             : 
    5894             :       }
    5895             : 
    5896             :     }
    5897             : 
    5898             :   }
    5899             : 
    5900             :   //////////////////////// Opacity Source Number: 23 /////////////////////////////
    5901             : 
    5902    10668574 :   std::complex<double>  RefractiveIndex::mkSpecificRefractivity_16o17o16o(double tt, double pp, double nu){
    5903             : 
    5904             :     static const double fre[518]={
    5905             :        62.76459, 71.39120, 71.47840, 83.61184, 85.42109, 88.04973,  90.14488, 92.15323, 97.76336, 97.87746,102.26823,106.17652, 107.36952,114.12740,117.15852,117.16913,121.25437,129.47907,
    5906             :       129.50442,132.37166,135.76030,136.85658,140.27986,147.38072, 155.81048,158.83333,160.47778,161.94325,163.59658,165.16470, 169.29684,175.92717,188.36100,189.73936,191.92469,196.39166,
    5907             :       197.75142,203.83920,212.12739,218.22219,218.59019,221.38467, 224.02561,225.78283,225.79133,229.07147,230.02775,231.10419, 234.01458,237.17463,240.60559,242.64470,244.20503,244.60764,
    5908             :       245.62233,245.76119,245.77722,247.11398,248.48864,254.39664, 261.10277,261.77222,266.93481,271.36219,271.84013,273.19681, 273.28959,273.98772,277.56366,281.11616,283.41975,286.95772,
    5909             :       291.22319,291.48047,296.60584,298.12088,298.32084,299.33084, 300.21441,304.93606,305.13694,320.33794,320.37503,321.10191, 322.13381,323.00503,323.64013,323.86488,323.89909,324.93750,
    5910             :       326.08625,342.11884,342.31228,342.49441,344.65313,346.14872, 348.69697,350.12113,350.12597,350.29453,354.70875,355.49000, 358.55691,361.09322,361.25797,366.20106,368.61775,371.47622,
    5911             :       372.30213,372.95256,374.80906,374.82953,375.18247,375.86506, 376.30481,378.29719,383.83059,387.07788,393.18197,396.60013, 399.41819,399.74128,400.73016,400.78484,401.74266,401.79978,
    5912             :       408.36522,410.38247,413.86419,415.83272,423.30341,425.98513, 426.03928,426.65250,427.40231,427.46472,428.71859,432.78763, 433.24456,435.05838,435.33794,435.80709,441.70841,441.97697,
    5913             :       445.55072,447.51875,448.31069,448.55922,448.73425,449.26056, 450.41788,451.30684,452.43425,452.48581,452.53063,452.54428, 452.80950,453.17644,454.53281,456.01588,456.36928,459.98531,
    5914             :       461.00234,461.11731,461.22431,467.30231,468.55400,468.69338, 473.68481,476.44588,476.50663,478.19244,478.26169,478.36063, 478.43863,478.74288,478.89166,488.24347,490.95234,491.93175,
    5915             :       492.12778,496.53600,499.98684,502.48097,502.95584,503.60044, 503.85847,504.29516,506.57453,510.84003,512.87178,517.51753, 518.51475,520.04906,523.93669,525.39825,528.20000,528.92513,
    5916             :       528.93744,529.48456,529.76250,530.28438,534.62225,535.88663, 537.00200,543.62213,547.51281,549.13200,553.87206,554.19413, 555.04488,555.19638,555.47956,561.84100,565.81550,566.40950,
    5917             :       570.18019,570.51863,572.92225,574.03994,574.11419,576.33000, 577.32538,579.43781,579.48969,580.56256,580.57538,585.18706, 589.70250,591.49169,594.97450,598.24144,599.64719,601.54706,
    5918             :       601.95606,604.65063,605.06325,605.91937,606.03019,606.18119, 610.62575,611.03819,612.50281,617.40456,618.72919,619.36625, 621.63288,622.18563,623.58250,624.29188,625.76744,625.77938,
    5919             :       625.86763,626.08431,626.31100,626.48819,626.73825,626.86538, 627.15150,627.17713,627.33081,627.37063,627.41950,627.43856, 627.73294,629.84256,630.40106,630.59131,631.22488,631.45844,
    5920             :       633.22975,634.70838,635.98013,636.63131,640.95238,641.04956, 642.30644,645.54138,648.79775,649.79781,650.60625,651.28988, 651.76731,655.91900,656.07981,656.50056,656.84700,661.28369,
    5921             :       663.78206,667.74631,667.84888,671.94300,675.67162,675.77656, 679.80069,681.52987,681.74825,682.20156,683.85681,690.24456, 693.47144,695.30294,696.95438,698.71363,700.47331,701.55906,
    5922             :       702.38694,703.67794,704.12988,704.82062,705.28825,706.94538, 706.97281,707.52431,714.47969,714.54981,715.82044,718.32550, 727.11906,728.01138,730.74250,732.17725,732.32831,732.81900,
    5923             :       733.56500,735.72531,738.82556,743.00581,744.14238,745.90538, 753.14875,753.32869,753.51775,755.41869,755.51056,756.16550, 757.36500,757.68169,758.08825,759.27388,761.87475,763.42563,
    5924             :       765.83506,766.44738,767.37900,775.98550,776.02219,778.21681, 778.28350,781.55938,782.53900,783.00775,783.33506,785.38538, 786.34838,789.31669,791.99356,792.31738,793.76263,793.95619,
    5925             :       794.47588,795.42563,795.76575,796.62394,797.20363,797.35375, 798.56106,799.02050,799.68719,800.60744,800.68338,801.83725, 801.84250,802.01256,803.18250,803.32419,803.39456,803.75325,
    5926             :       804.10250,804.33275,804.78538,804.99800,805.26119,805.41906, 805.56900,805.66937,805.74988,805.79488,805.80450,805.84263, 805.86656,805.88050,806.92606,808.30887,808.56200,810.22206,
    5927             :       810.66394,810.76931,811.37206,814.42581,821.05538,821.74656, 828.22538,828.52281,830.88406,832.26763,833.58738,833.77169, 835.14719,835.79469,837.74563,838.02275,838.55556,849.90469,
    5928             :       853.54381,855.43356,857.58575,857.92525,858.84531,858.96625, 865.31344,866.75163,867.43850,868.71844,869.44206,872.35469, 877.57025,878.70731,882.37419,882.88244,884.08475,884.14806,
    5929             :       885.44663,897.10544,898.55838,903.48250,904.49425,904.94394, 905.86669,908.15925,909.30763,909.31906,917.04800,918.74525, 918.94906,919.89788,921.14338,924.50056,928.83394,929.00944,
    5930             :       930.73675,931.16769,931.59069,931.99544,932.55481,933.41788, 934.51581,942.11850,943.85519,951.85931,953.02500,953.10894, 953.14819,953.16531,954.28994,956.36775,956.45038,956.73050,
    5931             :       958.65994,959.06650,959.71100,960.37725,960.70275,961.77019, 962.09931,965.23144,965.98231,968.28294,968.73731,970.32463, 971.12588,973.67925,973.68888,975.66875,975.90106,976.29381,
    5932             :       977.66413,977.77969,978.30550,978.93994,979.32569,979.84962, 980.56431,981.02256,981.52956,981.71613,981.86656,981.89938, 982.25925,982.54019,982.79219,982.99413,983.16544,983.30244,
    5933             :       983.41344,983.50006,983.56688,983.61663,983.65250,983.67713, 983.69288,983.70194,983.88694,984.89481,985.87362,993.86519, 997.95150,998.69363};
    5934             : 
    5935             :     static const double flin[518]={
    5936             :       .331E+01, .232E+01, .280E+01, .117E+01, .234E+01, .453E+01, .289E+01, .248E+01, .342E+01, .432E+01, .901E+00, .326E+01, .593E+01, .100E+01, .914E+00, .444E+01, .721E+01, .199E+01,
    5937             :       .417E+01, .185E+01, .389E+01, .424E+01, .810E+01, .302E+01, .558E+00, .376E+01, .201E+01, .497E+01, .283E+01, .858E+01, .403E+01, .158E+01, .573E+01, .139E+01, .382E+01, .872E+01,
    5938             :       .260E+01, .308E+01, .454E+01, .481E+01, .239E+01, .360E+01, .115E+01, .131E+02, .111E+02, .477E+01, .894E+01, .149E+02, .861E+01, .691E+01, .545E+01, .164E+02, .937E+00, .426E+01,
    5939             :       .339E+01, .460E+01, .510E+01, .748E+01, .216E+01, .354E+01, .173E+02, .217E+01, .855E+00, .438E+01, .194E+01, .713E+00, .316E+01, .145E+01, .838E+01, .250E+01, .559E+01, .177E+02,
    5940             :       .530E+01, .343E+01, .503E+00, .416E+01, .294E+01, .172E+01, .597E+01, .938E+01, .425E+01, .149E+01, .177E+02, .710E+01, .496E+01, .302E+00, .601E+01, .394E+01, .149E+01, .272E+01,
    5941             :       .813E+01, .222E+02, .167E+01, .557E+01, .242E+02, .199E+02, .494E+01, .127E+01, .372E+01, .250E+01, .257E+02, .174E+02, .879E+01, .174E+02, .114E+02, .606E+01, .151E+02, .736E+01,
    5942             :       .620E+01, .266E+02, .178E+01, .472E+01, .105E+01, .350E+01, .227E+01, .791E+01, .129E+02, .211E+01, .646E+01, .106E+02, .109E+02, .269E+02, .450E+01, .836E+00, .205E+01, .328E+01,
    5943             :       .169E+02, .665E+01, .927E+01, .135E+02, .678E+01, .628E+00, .779E+01, .428E+01, .183E+01, .305E+01, .263E+01, .776E+01, .206E+01, .268E+02, .646E+01, .126E+02, .522E+01, .896E+01,
    5944             :       .403E+01, .285E+01, .160E+01, .884E+00, .224E+01, .343E+01, .458E+01, .431E+00, .406E+01, .313E+02, .334E+02, .571E+01, .160E+01, .283E+01, .726E+01, .683E+01, .701E+01, .288E+02,
    5945             :       .165E+02, .350E+02, .793E+01, .320E+01, .899E+01, .156E+02, .261E+02, .146E+02, .252E+00, .383E+01, .139E+01, .999E+01, .263E+02, .261E+01, .359E+02, .766E+01, .109E+02, .234E+02,
    5946             :       .719E+01, .223E+01, .743E+01, .484E+01, .385E+01, .117E+01, .361E+01, .238E+01, .118E+02, .108E+02, .210E+02, .160E+02, .167E+02, .176E+02, .249E+01, .125E+02, .461E+01, .958E+00,
    5947             :       .256E+02, .339E+01, .216E+01, .731E+01, .187E+02, .458E+01, .852E+01, .761E+01, .131E+02, .261E+01, .439E+01, .754E+00, .316E+01, .194E+01, .168E+02, .187E+02, .225E+01, .543E+01,
    5948             :       .197E+02, .740E+01, .136E+02, .277E+01, .151E+02, .157E+02, .127E+02, .559E+00, .417E+01, .294E+01, .172E+01, .250E+02, .135E+02, .835E+01, .642E+01, .759E+01, .295E+01, .141E+02,
    5949             :       .121E+02, .378E+00, .394E+01, .150E+01, .272E+01, .208E+02, .319E+02, .108E+02, .747E+01, .954E+01, .999E+01, .218E+02, .833E+01, .758E+01, .314E+01, .714E+01, .101E+02, .890E+01,
    5950             :       .597E+01, .772E+01, .113E+02, .655E+01, .480E+01, .538E+01, .421E+01, .361E+01, .300E+01, .235E+01, .167E+01, .909E+00, .125E+02, .216E+00, .137E+02, .372E+01, .129E+01, .249E+01,
    5951             :       .144E+02, .149E+02, .155E+02, .292E+02, .148E+02, .160E+02, .215E+01, .244E+02, .892E+01, .171E+02, .332E+01, .228E+02, .758E+01, .751E+01, .349E+01, .108E+01, .227E+01, .181E+02,
    5952             :       .267E+02, .147E+02, .238E+02, .353E+01, .105E+02, .190E+02, .450E+01, .327E+01, .880E+00, .205E+01, .946E+01, .245E+02, .199E+02, .154E+02, .248E+02, .117E+02, .754E+01, .169E+02,
    5953             :       .368E+01, .122E+02, .759E+01, .148E+02, .427E+01, .305E+01, .686E+00, .184E+01, .206E+02, .226E+02, .258E+02, .391E+01, .193E+01, .349E+01, .405E+01, .504E+00, .283E+01, .162E+01,
    5954             :       .141E+02, .209E+02, .212E+02, .269E+02, .150E+02, .757E+01, .358E+01, .194E+02, .153E+02, .759E+01, .401E+01, .383E+01, .336E+00, .261E+01, .141E+01, .191E+02, .429E+01, .279E+02,
    5955             :       .161E+02, .216E+02, .179E+02, .108E+02, .135E+02, .165E+02, .372E+01, .360E+01, .189E+00, .239E+01, .121E+01, .151E+02, .152E+02, .289E+02, .758E+01, .139E+02, .184E+02, .196E+02,
    5956             :       .171E+02, .209E+02, .158E+02, .127E+02, .220E+02, .145E+02, .222E+02, .133E+02, .115E+02, .121E+02, .182E+02, .103E+02, .467E+01, .109E+02, .967E+01, .909E+01, .388E+01, .234E+02,
    5957             :       .850E+01, .792E+01, .734E+01, .675E+01, .617E+01, .558E+01, .498E+01, .438E+01, .376E+01, .760E+01, .311E+01, .244E+01, .172E+01, .926E+00, .338E+01, .217E+01, .101E+01, .153E+02,
    5958             :       .427E+01, .299E+02, .245E+02, .213E+02, .166E+01, .256E+02, .152E+02, .406E+01, .223E+02, .316E+01, .195E+01, .813E+00, .266E+02, .309E+02, .506E+01, .203E+02, .760E+01, .156E+02,
    5959             :       .425E+01, .761E+01, .294E+01, .319E+02, .174E+01, .629E+00, .153E+02, .123E+02, .234E+02, .445E+01, .549E+01, .152E+02, .224E+02, .444E+01, .329E+02, .272E+01, .153E+01, .458E+00,
    5960             :       .761E+01, .598E+01, .268E+02, .463E+01, .762E+01, .339E+02, .371E+01, .250E+01, .133E+01, .302E+00, .253E+02, .255E+02, .245E+02, .177E+02, .656E+01, .138E+01, .482E+01, .349E+02,
    5961             :       .452E+01, .349E+01, .450E+01, .238E+02, .762E+01, .229E+01, .113E+01, .726E+01, .224E+02, .360E+02, .501E+01, .763E+01, .210E+02, .270E+02, .257E+02, .243E+02, .327E+01, .457E+01,
    5962             :       .207E+01, .229E+02, .939E+00, .197E+02, .810E+01, .266E+02, .216E+02, .203E+02, .184E+02, .190E+02, .276E+02, .171E+02, .177E+02, .165E+02, .158E+02, .370E+02, .152E+02, .146E+02,
    5963             :       .910E+01, .140E+02, .134E+02, .520E+01, .128E+02, .122E+02, .116E+02, .110E+02, .105E+02, .305E+01, .469E+01, .987E+01, .929E+01, .870E+01, .812E+01, .753E+01, .694E+01, .635E+01,
    5964             :       .575E+01, .514E+01, .452E+01, .387E+01, .321E+01, .251E+01, .176E+01, .937E+00, .186E+01, .755E+00, .200E+02, .103E+02, .446E+01, .380E+02};
    5965             : 
    5966             :     static const double el[518]={
    5967             :       223.585,  145.271,   21.867,   56.784,  161.597, 461.771, 96.770,    3.574,  317.904,   11.999,   30.388,  293.300, 25.243,     .018,   36.972,  525.972,   43.176,  126.781,
    5968             :       36.979,  112.142,  268.379,  493.526,   65.862,  268.321, 21.816,  126.771,    3.592,  525.921,  245.842,   93.167, 461.768,   96.750,   56.852,   83.986,  431.681, 124.967,
    5969             :       223.601,   12.009,  317.911,  669.618,  203.300, 402.466, 71.439,  172.555,  134.355,  161.597,  101.051,  215.499, 161.360,   72.608,  595.043,  263.245,   60.870,  25.251,
    5970             :       374.702,  633.195,   48.995,   81.230,  183.764,  30.381, 315.558,   16.726,    8.078,  598.166,  165.643,  50.977, 347.973,   11.339,  202.268,   21.797,   43.186, 372.516,
    5971             :       372.312,   36.999,   42.653,  564.280,  322.671, 148.622, 201.180,  110.353,   56.843,    5.513,  434.011,  65.876, 81.227,   35.285,  668.955,  531.544,  132.942,  298.392,
    5972             :       247.537,  517.267,    8.058,  110.349,  590.045, 449.373, 792.451,  118.483,  500.082,  275.474,  667.462, 386.325, 93.077,  499.956,  144.048,  144.010,  328.094,  245.357,
    5973             :       431.517,  749.386,   11.297,  753.796,  105.179, 469.946, 253.625,  297.429,  274.863,   16.707,  182.214, 124.950, 226.615,  835.999,  716.252,   93.049,  233.103, 440.900,
    5974             :       570.385,  747.588,  183.421,  182.226,  225.067,  82.239, 145.236,  680.007,  213.770,  413.067,   30.407, 351.712, 21.790,  927.103,  112.089,  161.367,   83.983,  294.370,
    5975             :       60.799,   42.604,   29.266,   24.454,   35.346,   51.021, 71.465,   72.522,  644.968, 1045.566, 1147.863,   96.763, 195.650,  386.532,  495.467,  126.796,  272.479, 947.905,
    5976             :       645.257, 1254.851,  161.546,   49.054,  201.094, 225.087, 855.147,  202.215,   64.112,  611.131,  178.728, 245.423, 1022.619,  361.104, 1366.497,  410.548,  294.318,767.371,
    5977             :       324.362,   36.950,  831.184,  887.664,   72.541, 163.010, 578.498,  336.977,  347.968,  347.963,  684.465, 724.542, 247.594,  272.420,   20.834,  406.263,  847.829, 148.494,
    5978             :       1122.493,  547.167,  313.954,  380.829,  606.520,101.060, 564.206,  473.888,  469.201,   24.423,  809.196, 135.280, 516.939,  292.232,  533.719,  297.413,   56.822, 134.394,
    5979             :       324.412,  441.796,  536.781,   29.327,  466.023, 808.317, 406.269,  123.168,  771.765,  487.914,  271.713,1226.792, 403.375,  919.589,  172.521,  541.665,   35.297, 608.806,
    5980             :       345.786,  112.257,  735.537,  252.396,  460.190, 351.783, 1389.470,  293.250,  507.379,  245.744,  637.680,380.850, 203.241,  215.514,   42.647,  165.713,  268.342, 223.642,
    5981             :       132.938,  183.727,  317.916,  148.608,  105.196, 118.390, 93.076,   82.175,   72.567,   64.065,   56.863,   50.762, 372.348,  102.647,  431.520,  700.511,  234.280, 433.569,
    5982             :       685.484,  495.513,  896.552, 1277.021,  469.213, 564.208, 81.248, 1335.493,  263.236,  637.688,   50.949,  410.616, 613.993,  577.394,  666.686,  217.366,  408.250, 715.936,
    5983             :       1169.616,  766.726,  441.821,   60.824,  315.545,798.740, 951.647,  634.064,  201.653,  384.032, 1012.752,1067.245, 886.290,  989.202,  473.923,  715.839,  651.854, 536.702,
    5984             :       71.462,  372.500,  690.778,  852.445,  911.823,  602.743, 187.142,  361.115,  978.381,  969.978,  507.317,  83.997, 110.274,   45.931,  873.200,  173.931,  572.524, 339.400,
    5985             :       433.965,  877.961, 1075.112,  541.711,  942.656, 730.872, 50.824,  790.915, 1086.306,  772.115,   96.710,  835.779, 161.821,  543.606,  318.887,  608.830,  112.105, 577.330,
    5986             :       500.014, 1176.485,  709.040, 1110.627,  798.725, 632.220, 56.817,  799.559,  151.012,  515.790,  299.574, 1037.475, 560.429,  613.987,  814.458,  493.542,  747.673, 831.164,
    5987             :       668.839,  919.593,  594.977,  431.636, 1282.308, 525.901, 1012.743,  461.720,  374.688,  402.444,  570.441,322.585, 145.185,  347.977,  298.421,  275.414,  64.110, 1110.593,
    5988             :       253.676,  233.065,  213.744,  195.633, 178.721,  163.013, 148.506,  135.201,  123.197,  857.895, 112.295,  102.593, 94.192,   86.991,  764.541,  489.274,  281.462, 1187.882,
    5989             :       126.761,  651.856, 1213.227,  685.480, 143.962, 1320.629, 1136.718,   72.503, 1392.790,  730.724,  463.860,264.551, 1432.585,  690.754,  183.360,  645.247, 902.421, 886.276,
    5990             :       82.202,  948.111,  698.207,  730.891,  439.747,  248.841, 1293.936, 1213.267,  766.734,  161.573, 226.638,1240.498, 724.547,   93.093,  772.117,  666.792,  416.835, 234.331,
    5991             :       994.969,  274.809, 1418.739,  105.103, 1042.854, 814.433, 945.588,  636.678,  395.123,  221.122, 1307.551, 852.470, 808.360,  978.414,  328.054,  182.193,  118.385, 857.877,
    5992             :       201.094,  908.273,   80.953, 1201.433, 1092.006, 607.665, 374.612,  386.247, 1100.364,  902.479, 132.923, 1142.119, 1004.317, 1472.716, 1360.062, 1252.163, 872.059,  86.945,
    5993             :       579.952, 1149.233,  355.302,  913.270,  449.354, 896.503, 1050.987,  957.737,  827.101,  869.290,  942.668,745.892, 785.754,  707.031,  669.531,  948.135,  633.224, 598.105,
    5994             :       517.340,  564.234,  531.609,  148.678,  500.060, 469.835, 440.900,  413.078,  386.454,  837.045,   94.138, 361.136, 336.919,  314.005,  292.193,  271.684,  252.375, 234.269,
    5995             :       217.363,  201.659,  187.156,  173.854,  161.852, 150.951, 141.350,  132.850,  553.341,  337.192, 1075.145, 589.961, 245.365,  994.930};
    5996             : 
    5997             :     static const double texpO3[518] ={
    5998             :       0.76,0.77,0.76,0.77,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.76, 0.76,0.76,0.77,0.76,0.77,0.77,0.77,0.77,0.76,0.76,0.77,0.76, 0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.77,0.77,0.77,0.76,0.76,
    5999             :       0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.78,0.78,0.76,0.77,0.78, 0.76,0.77,0.76,0.78,0.77,0.77,0.76,0.76,0.77,0.77,0.76,0.76, 0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.77,0.76,
    6000             :       0.76,0.77,0.76,0.76,0.76,0.76,0.76,0.77,0.77,0.79,0.76,0.77, 0.77,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.77,0.76,0.76, 0.76,0.77,0.77,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.76,
    6001             :       0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.78, 0.78,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.78,0.76,0.76,0.77, 0.77,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.77,0.78,0.77,0.76,
    6002             :       0.77,0.76,0.76,0.76,0.76,0.77,0.77,0.77,0.76,0.76,0.76,0.83, 0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.78,0.77,0.78,0.76, 0.76,0.78,0.76,0.76,0.80,0.78,0.76,0.76,0.76,0.76,0.79,0.76,
    6003             :       0.76,0.77,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.76, 0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.77, 0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.78,
    6004             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76, 0.76,0.76,0.78,0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76, 0.76,0.78,0.76,0.78,0.76,0.76,0.78,0.78,0.77,0.77,0.78,0.78,
    6005             :       0.77,0.78,0.79,0.77,0.77,0.77,0.77,0.77,0.77,0.76,0.76,0.76, 0.79,0.77,0.76,0.76,0.76,0.76,0.76,0.80,0.76,0.76,0.76,0.80, 0.77,0.76,0.79,0.81,0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.76,
    6006             :       0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76, 0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.76, 0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.76,0.76,
    6007             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.76, 0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.76, 0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,
    6008             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.78, 0.78,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.77, 0.77,0.77,0.77,0.76,0.77,0.77,0.76,0.76,0.76,0.76,0.76,0.76,
    6009             :       0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76, 0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.76, 0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,
    6010             :       0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.76, 0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.76, 0.76,0.79,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.76,
    6011             :       0.76,0.76,0.76,0.76,0.80,0.76,0.76,0.76,0.76,0.76,0.76,0.76, 0.76,0.76,0.76,0.76,0.76,0.76,0.80,0.76,0.76,0.77,0.76,0.76, 0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.76,0.76,0.76,0.76,
    6012             :       0.76,0.76,0.76,0.76,0.76,0.76,0.76,0.77,0.76,0.76,0.76,0.81, 0.76,0.76};
    6013             : 
    6014             :     static const double brdO3air[518] ={
    6015             :       2.3000,2.3498,2.5155,2.4060,2.3000,2.3000,2.3883,2.5895,2.3000, 2.5244,2.5392,2.3000,2.4682,2.7405,2.4771,2.3000,2.4149,2.3735, 2.4386,2.3942,2.3000,2.3000,2.3705,2.3000,2.5540,2.3000,2.6428,
    6016             :       2.3000,2.3000,2.3291,2.3000,2.4208,2.3735,2.4445,2.3000,2.3000, 2.3000,2.5540,2.3000,2.3000,2.3000,2.3000,2.4711,2.2610,2.2610, 2.3000,2.3291,2.2344,2.3000,2.3705,2.3000,2.2078,2.4978,2.4771,
    6017             :       2.3000,2.3000,2.4149,2.3143,2.3000,2.4682,2.3000,2.5244,2.5895, 2.3000,2.3000,2.5244,2.3000,2.5570,2.3000,2.4948,2.4060,2.3000, 2.3000,2.4415,2.5540,2.3000,2.3000,2.3000,2.3000,2.2640,2.3912,
    6018             :       2.1397,2.3000,2.3439,2.3498,2.5836,2.3000,2.3000,2.3942,2.3000, 2.3000,2.3000,2.6191,2.3113,2.3000,2.3000,2.3000,2.4208,2.4208, 2.3000,2.3000,2.3000,2.2877,2.3000,2.3000,2.3000,2.3000,2.3000,
    6019             :       2.3000,2.3000,2.5984,2.3000,2.4445,2.3000,2.3000,2.3000,2.3000, 2.5658,2.3000,2.2403,2.2344,2.3000,2.3000,2.4711,2.3000,2.3000, 2.3000,2.3000,2.2610,2.3000,2.3000,2.4978,2.2936,2.3000,2.3000,
    6020             :       2.3000,2.5126,2.3000,2.5155,2.3000,2.3291,2.1959,2.3705,2.3000, 2.4149,2.4682,2.5244,2.5570,2.4948,2.4415,2.3912,2.5244,2.3000, 2.3000,2.3000,2.0923,2.3000,2.3000,2.3000,2.3113,2.3000,2.3000,
    6021             :       2.3000,2.3000,2.2788,2.4623,2.2462,2.3000,2.3000,2.1604,2.5540, 2.3000,2.1338,2.2196,2.3000,2.3000,2.3000,2.3000,2.1959,2.3000, 2.3000,2.4386,2.3000,2.3000,2.4120,2.3000,2.3000,2.3000,2.3000,
    6022             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.4948,2.3000,2.3000,2.3000, 2.4208,2.3000,2.3000,2.3000,2.3000,2.3676,2.3000,2.3000,2.3000, 2.6132,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3735,2.3232,
    6023             :       2.3000,2.3000,2.3000,2.5836,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.3000,2.3000,2.3000,2.3000,2.2817,2.3000,2.5540,2.3000, 2.3000,2.4978,2.3000,2.3000,2.3000,2.3000,2.3000,2.2078,2.3000,
    6024             :       2.2344,2.3000,2.3000,2.2610,2.2433,2.5244,2.2936,2.2196,2.2462, 2.3291,2.2788,2.1959,2.3113,2.3705,2.3498,2.3912,2.4149,2.4415, 2.4682,2.4948,2.5244,2.1722,2.5244,2.3000,2.3000,2.3000,2.3000,
    6025             :       2.3000,2.1308,2.3000,2.3000,2.3000,2.1071,2.3143,2.3000,2.2078, 2.1782,2.4978,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.3000,2.3000,2.4711,2.3000,2.3000,2.3000,2.3000,2.3000,
    6026             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.4445,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.3000,2.4208,2.3000,2.4356,2.3000,2.3000,2.3000,2.3000,
    6027             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.5836,2.3000,2.3000, 2.3000,2.3942,2.3000,2.3000,2.3000,2.3000,2.3000,2.3735,2.3000, 2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.5540,2.3000,2.3000,
    6028             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.3000,2.3291,2.3291,2.3000,2.3000,2.3000,2.5244,2.3000,
    6029             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3291,2.3498,2.3705,2.3912, 2.3000,2.4149,2.4415,2.4682,2.4948,2.3000,2.3000,2.3000,2.3000, 2.3498,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.4978,2.3000,
    6030             :       2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.4711,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.3000,2.3000,2.3000,2.4445,2.3000,2.3000,2.3000,2.3000,
    6031             :       2.3000,2.3000,2.3000,2.4208,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3942,2.3000, 2.3000,2.3000,2.3853,2.3000,2.3000,2.3000,2.3000,2.1574,2.3000,
    6032             :       2.3000,2.3735,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.5540, 2.3000,2.3000,2.3000,2.3000,2.1338,2.3000,2.0065,2.3000,2.3000, 2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,
    6033             :       2.1130,2.3000,2.3000,2.3498,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.5244,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000, 2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.3000,2.4415,2.3000,
    6034             :       2.3000,2.3000,2.0953,2.3000,2.3000};
    6035             : 
    6036             : 
    6037             :     static const unsigned int ifin1[500]={
    6038             :        1,   1,   1,   1,   1,   1,   1,   1,   1,   1,  1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   2,
    6039             :        2,   2,   2,   2,   4,   4,   4,   4,   4,   4,  5,   6,   7,   8,   9,   9,   9,  11,  11,  12,  12,  13,  14,  14,  14,  15,  15,  17,  17,  18,
    6040             :       18,  18,  18,  20,  21,  21,  23,  23,  24,  24, 24,  24,  25,  25,  25,  25,  26,  27,  28,  29,  30,  31,  31,  32,  32,  32,  33,  33,  33,  33,
    6041             :       33,  33,  34,  35,  36,  36,  37,  38,  38,  38, 39,  39,  39,  39,  40,  40,  40,  42,  42,  43,  44,  46,  46,  48,  49,  50,  50,  51,  52,  53,
    6042             :       55,  58,  60,  60,  60,  61,  61,  61,  61,  63, 63,  64,  64,  64,  66,  69,  69,  70,  70,  71,  72,  73,  73,  73,  75,  75,  76,  78,  80,  80,
    6043             :       81,  82,  82,  82,  82,  82,  82,  82,  84,  86, 91,  92,  92,  92,  92,  92,  92,  92,  92,  95,  96,  97,  98, 101, 101, 102, 103, 104, 104, 106,
    6044             :       106, 107, 108, 108, 111, 113, 116, 117, 117, 117, 118, 118, 119, 119, 119, 120, 121, 121, 125, 127, 127, 127, 128, 129, 129, 130, 131, 131, 131, 131,
    6045             :       132, 135, 138, 138, 139, 140, 143, 143, 143, 145, 145, 146, 150, 152, 158, 160, 162, 162, 163, 166, 166, 166, 169, 169, 169, 170, 172, 178, 178, 178,
    6046             :       178, 178, 179, 180, 182, 182, 183, 183, 184, 186, 189, 190, 190, 191, 192, 192, 192, 194, 195, 195, 196, 197, 200, 203, 203, 204, 205, 206, 206, 206,
    6047             :       207, 207, 208, 209, 209, 211, 214, 214, 214, 215, 215, 217, 217, 219, 220, 222, 223, 224, 228, 228, 228, 229, 229, 230, 231, 232, 232, 233, 234, 236,
    6048             :       237, 241, 241, 242, 244, 244, 244, 246, 247, 249, 251, 259, 266, 269, 271, 273, 275, 275, 276, 278, 278, 279, 280, 282, 284, 284, 288, 288, 288, 289,
    6049             :       290, 290, 292, 292, 293, 293, 295, 295, 296, 299, 300, 300, 300, 301, 301, 302, 304, 305, 306, 308, 311, 314, 315, 315, 315, 317, 318, 319, 319, 319,
    6050             :       319, 319, 321, 322, 325, 326, 327, 328, 328, 328, 330, 331, 331, 331, 331, 334, 337, 340, 341, 342, 343, 345, 346, 346, 346, 346, 348, 350, 350, 352,
    6051             :       354, 356, 356, 357, 359, 362, 365, 368, 372, 375, 383, 394, 396, 399, 400, 401, 401, 401, 401, 403, 403, 403, 405, 406, 407, 409, 411, 414, 414, 414,
    6052             :       414, 414, 414, 415, 415, 416, 417, 421, 421, 421, 421, 423, 425, 426, 427, 427, 427, 429, 429, 431, 433, 434, 434, 434, 434, 434, 434, 436, 436, 436,
    6053             :       439, 440, 441, 443, 443, 443, 443, 446, 447, 448, 449, 449, 450, 452, 456, 458, 458, 458, 458, 459, 460, 460, 460, 460, 461, 466, 469, 470, 474, 476,
    6054             :       476, 478, 480, 481, 482, 484, 487, 491, 494, 503, 515, 516, 516, 516, 516, 517, 517, 518, 518, 518};
    6055             : 
    6056             :     static const unsigned int ini1[500]={
    6057             :         1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    6058             :         1,   1,   1,   2,   2,   2,   2,   2,   4,   4,   4,   4,   4,   4,   5,   6,   7,   8,   9,   9,   9,  11,  11,  12,  12,  13,  14,  14,  14,  15,
    6059             :        15,  17,  17,  18,  18,  18,  18,  20,  21,  21,  23,  23,  24,  24,  24,  24,  25,  25,  25,  25,  26,  27,  28,  29,  30,  31,  31,  32,  32,  32,
    6060             :        33,  33,  33,  33,  33,  33,  34,  35,  36,  36,  37,  38,  38,  38,  39,  39,  39,  39,  40,  40,  40,  42,  42,  43,  44,  46,  46,  48,  49,  50,
    6061             :        50,  51,  52,  53,  55,  58,  60,  60,  60,  61,  61,  61,  61,  63,  63,  64,  64,  64,  66,  69,  69,  70,  70,  71,  72,  73,  73,  73,  75,  75,
    6062             :        76,  78,  80,  80,  81,  82,  82,  82,  82,  82,  82,  82,  84,  86,  91,  92,  92,  92,  92,  92,  92,  92,  92,  95,  96,  97,  98, 101, 101, 102,
    6063             :       103, 104, 104, 106, 106, 107, 108, 108, 111, 113, 116, 117, 117, 117, 118, 118, 119, 119, 119, 120, 121, 121, 125, 127, 127, 127, 128, 129, 129, 130,
    6064             :       131, 131, 131, 131, 132, 135, 138, 138, 139, 140, 143, 143, 143, 145, 145, 146, 150, 152, 158, 160, 162, 162, 163, 166, 166, 166, 169, 169, 169, 170,
    6065             :       172, 178, 178, 178, 178, 178, 179, 180, 182, 182, 183, 183, 184, 186, 189, 190, 190, 191, 192, 192, 192, 194, 195, 195, 196, 197, 200, 203, 203, 204,
    6066             :       205, 206, 206, 206, 207, 207, 208, 209, 209, 211, 214, 214, 214, 215, 215, 217, 217, 219, 220, 222, 223, 224, 228, 228, 228, 229, 229, 230, 231, 232,
    6067             :       232, 233, 234, 236, 237, 241, 241, 242, 244, 244, 244, 246, 247, 249, 251, 259, 266, 269, 271, 273, 275, 275, 276, 278, 278, 279, 280, 282, 284, 284,
    6068             :       288, 288, 288, 289, 290, 290, 292, 292, 293, 293, 295, 295, 296, 299, 300, 300, 300, 301, 301, 302, 304, 305, 306, 308, 311, 314, 315, 315, 315, 317,
    6069             :       318, 319, 319, 319, 319, 319, 321, 322, 325, 326, 327, 328, 328, 328, 330, 331, 331, 331, 331, 334, 337, 340, 341, 342, 343, 345, 346, 346, 346, 346,
    6070             :       348, 350, 350, 352, 354, 356, 356, 357, 359, 362, 365, 368, 372, 375, 383, 394, 396, 399, 400, 401, 401, 401, 401, 403, 403, 403, 405, 406, 407, 409,
    6071             :       411, 414, 414, 414, 414, 414, 414, 415, 415, 416, 417, 421, 421, 421, 421, 423, 425, 426, 427, 427, 427, 429, 429, 431, 433, 434, 434, 434, 434, 434,
    6072             :       434, 436, 436, 436, 439, 440, 441, 443, 443, 443, 443, 446, 447, 448, 449, 449, 450, 452, 456, 458, 458, 458, 458, 459, 460, 460, 460, 460, 461, 466,
    6073             :       469, 470, 474, 476, 476, 478, 480, 481, 482, 484, 487, 491, 494, 503, 515, 516, 516, 516, 516, 517};
    6074             : 
    6075             :     static const unsigned int ifin2[500]={
    6076             :         1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    6077             :         1,   2,   2,   2,   2,   4,   4,   4,   4,   4,   4,   5,   6,   7,   8,   9,   9,   9,  11,  11,  12,  12,  13,  14,  14,  14,  15,  15,  17,  17,
    6078             :        18,  18,  18,  18,  20,  21,  21,  22,  23,  24,  24,  24,  24,  25,  25,  25,  25,  26,  26,  28,  29,  30,  31,  31,  32,  32,  32,  33,  33,  33,
    6079             :        33,  33,  33,  34,  35,  36,  36,  37,  38,  38,  38,  39,  39,  39,  39,  40,  40,  40,  41,  42,  43,  44,  46,  46,  48,  49,  50,  50,  51,  51,
    6080             :        52,  54,  58,  60,  60,  60,  61,  61,  61,  61,  63,  63,  63,  64,  64,  66,  69,  69,  70,  70,  71,  72,  72,  73,  73,  75,  75,  75,  78,  80,
    6081             :        80,  80,  82,  82,  82,  82,  82,  82,  82,  84,  86,  90,  92,  92,  92,  92,  92,  92,  92,  92,  95,  95,  97,  97, 101, 101, 101, 103, 103, 104,
    6082             :       106, 106, 107, 107, 108, 110, 111, 116, 117, 117, 117, 118, 118, 119, 119, 119, 120, 120, 121, 123, 127, 127, 127, 128, 129, 129, 130, 131, 131, 131,
    6083             :       131, 132, 134, 137, 138, 138, 140, 143, 143, 143, 145, 145, 146, 148, 152, 155, 159, 162, 162, 163, 166, 166, 166, 167, 169, 169, 170, 171, 176, 178,
    6084             :       178, 178, 178, 179, 179, 182, 182, 182, 183, 184, 185, 189, 189, 190, 190, 191, 192, 192, 193, 195, 195, 196, 197, 198, 203, 203, 203, 205, 206, 206,
    6085             :       206, 207, 207, 208, 209, 209, 211, 214, 214, 214, 215, 215, 217, 217, 218, 219, 222, 223, 224, 226, 228, 228, 229, 229, 230, 231, 231, 232, 233, 234,
    6086             :       236, 236, 241, 241, 241, 243, 244, 244, 245, 247, 249, 251, 257, 266, 268, 271, 272, 274, 275, 275, 278, 278, 279, 279, 281, 284, 284, 286, 288, 288,
    6087             :       289, 290, 290, 292, 292, 293, 293, 295, 295, 296, 299, 300, 300, 300, 301, 301, 302, 303, 304, 306, 308, 310, 312, 315, 315, 315, 316, 318, 319, 319,
    6088             :       319, 319, 319, 321, 321, 324, 326, 327, 327, 328, 328, 330, 331, 331, 331, 331, 334, 337, 340, 341, 342, 343, 345, 346, 346, 346, 346, 348, 350, 350,
    6089             :       351, 354, 356, 356, 357, 359, 362, 364, 367, 370, 375, 381, 393, 395, 397, 400, 401, 401, 401, 401, 403, 403, 403, 404, 405, 407, 409, 411, 413, 414,
    6090             :       414, 414, 414, 414, 415, 415, 416, 417, 419, 421, 421, 421, 422, 424, 426, 427, 427, 427, 428, 429, 430, 433, 434, 434, 434, 434, 434, 434, 435, 436,
    6091             :       436, 438, 440, 441, 443, 443, 443, 443, 444, 447, 448, 448, 449, 449, 451, 455, 457, 458, 458, 458, 459, 460, 460, 460, 460, 461, 466, 468, 469, 473,
    6092             :       476, 476, 478, 479, 481, 482, 484, 487, 490, 493, 500, 514, 516, 516, 516, 516, 517, 517, 518, 518};
    6093             : 
    6094             :     static const unsigned int ini2[500]={
    6095             :         1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    6096             :         1,   1,   2,   2,   2,   2,   4,   4,   4,   4,   4,   4,   4,   6,   6,   7,   8,   9,   9,   9,  11,  11,  12,  12,  14,  14,  14,  14,  15,  17,
    6097             :        17,  18,  18,  18,  18,  19,  20,  21,  21,  23,  23,  24,  24,  24,  25,  25,  25,  25,  25,  26,  27,  28,  29,  31,  31,  32,  32,  32,  32,  33,
    6098             :        33,  33,  33,  33,  33,  34,  35,  36,  36,  37,  38,  38,  38,  39,  39,  39,  39,  40,  40,  40,  42,  43,  43,  44,  46,  47,  49,  49,  50,  51,
    6099             :        51,  52,  53,  55,  59,  60,  60,  60,  61,  61,  61,  62,  63,  63,  64,  64,  65,  68,  69,  69,  70,  71,  72,  72,  73,  73,  75,  75,  75,  76,
    6100             :        79,  80,  80,  82,  82,  82,  82,  82,  82,  82,  82,  85,  87,  91,  92,  92,  92,  92,  92,  92,  92,  92,  95,  96,  97,  98, 101, 101, 103, 103,
    6101             :       104, 106, 106, 106, 107, 108, 109, 111, 114, 116, 117, 117, 117, 118, 119, 119, 119, 120, 120, 121, 122, 125, 127, 127, 127, 128, 129, 129, 130, 131,
    6102             :       131, 131, 132, 132, 137, 138, 138, 140, 142, 143, 143, 143, 145, 145, 146, 151, 153, 159, 160, 162, 162, 166, 166, 166, 167, 169, 169, 169, 170, 172,
    6103             :       178, 178, 178, 178, 178, 179, 180, 182, 182, 183, 183, 184, 186, 189, 190, 190, 191, 192, 192, 192, 194, 195, 195, 197, 197, 201, 203, 203, 204, 206,
    6104             :       206, 206, 206, 207, 207, 209, 209, 209, 214, 214, 214, 214, 215, 215, 217, 217, 219, 220, 222, 224, 226, 228, 228, 229, 229, 229, 231, 231, 232, 232,
    6105             :       233, 234, 236, 238, 241, 241, 243, 244, 244, 245, 247, 247, 249, 251, 265, 266, 271, 272, 273, 275, 275, 277, 278, 278, 279, 280, 283, 284, 284, 288,
    6106             :       288, 289, 289, 290, 290, 292, 292, 293, 293, 295, 295, 296, 299, 300, 300, 300, 301, 302, 303, 304, 305, 306, 308, 312, 314, 315, 315, 315, 317, 318,
    6107             :       319, 319, 319, 319, 320, 321, 322, 325, 326, 327, 328, 328, 329, 330, 331, 331, 331, 333, 335, 338, 341, 341, 343, 343, 346, 346, 346, 346, 346, 348,
    6108             :       350, 350, 354, 355, 356, 357, 357, 359, 363, 367, 369, 372, 378, 385, 394, 396, 400, 400, 401, 401, 401, 402, 403, 403, 403, 405, 406, 407, 410, 411,
    6109             :       414, 414, 414, 414, 414, 414, 415, 415, 417, 417, 421, 421, 421, 422, 424, 426, 426, 427, 427, 427, 429, 429, 431, 434, 434, 434, 434, 434, 434, 435,
    6110             :       436, 436, 437, 439, 440, 443, 443, 443, 443, 444, 446, 448, 448, 449, 449, 451, 453, 457, 458, 458, 458, 458, 459, 460, 460, 460, 460, 465, 466, 469,
    6111             :       471, 474, 476, 477, 478, 480, 482, 482, 484, 487, 492, 495, 506, 515, 516, 516, 516, 516, 517, 517};
    6112             : 
    6113             :     static const unsigned int ifin3[500]={
    6114             :         1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    6115             :         1,   2,   2,   2,   2,   4,   4,   4,   4,   4,   4,   4,   6,   6,   7,   8,   9,   9,   9,  11,  11,  12,  12,  14,  14,  14,  14,  15,  17,  17,
    6116             :        18,  18,  18,  18,  19,  20,  21,  21,  23,  23,  24,  24,  24,  25,  25,  25,  25,  25,  26,  27,  28,  29,  31,  31,  32,  32,  32,  32,  33,  33,
    6117             :        33,  33,  33,  33,  34,  35,  36,  36,  37,  38,  38,  38,  39,  39,  39,  39,  40,  40,  40,  42,  43,  43,  44,  46,  47,  49,  49,  50,  51,  51,
    6118             :        52,  53,  55,  59,  60,  60,  60,  61,  61,  61,  62,  63,  63,  64,  64,  65,  68,  69,  69,  70,  71,  72,  72,  73,  73,  75,  75,  75,  76,  79,
    6119             :        80,  80,  82,  82,  82,  82,  82,  82,  82,  82,  85,  87,  91,  92,  92,  92,  92,  92,  92,  92,  92,  95,  96,  97,  98, 101, 101, 103, 103, 104,
    6120             :       106, 106, 106, 107, 108, 109, 111, 114, 116, 117, 117, 117, 118, 119, 119, 119, 120, 120, 121, 122, 125, 127, 127, 127, 128, 129, 129, 130, 131, 131,
    6121             :       131, 132, 132, 137, 138, 138, 140, 142, 143, 143, 143, 145, 145, 146, 151, 153, 159, 160, 162, 162, 166, 166, 166, 167, 169, 169, 169, 170, 172, 178,
    6122             :       178, 178, 178, 178, 179, 180, 182, 182, 183, 183, 184, 186, 189, 190, 190, 191, 192, 192, 192, 194, 195, 195, 197, 197, 201, 203, 203, 204, 206, 206,
    6123             :       206, 206, 207, 207, 209, 209, 209, 214, 214, 214, 214, 215, 215, 217, 217, 219, 220, 222, 224, 226, 228, 228, 229, 229, 229, 231, 231, 232, 232, 233,
    6124             :       234, 236, 238, 241, 241, 243, 244, 244, 245, 247, 247, 249, 251, 265, 266, 271, 272, 273, 275, 275, 277, 278, 278, 279, 280, 283, 284, 284, 288, 288,
    6125             :       289, 289, 290, 290, 292, 292, 293, 293, 295, 295, 296, 299, 300, 300, 300, 301, 302, 303, 304, 305, 306, 308, 312, 314, 315, 315, 315, 317, 318, 319,
    6126             :       319, 319, 319, 320, 321, 322, 325, 326, 327, 328, 328, 329, 330, 331, 331, 331, 333, 335, 338, 341, 341, 343, 343, 346, 346, 346, 346, 346, 348, 350,
    6127             :       350, 354, 355, 356, 357, 357, 359, 363, 367, 369, 372, 378, 385, 394, 396, 400, 400, 401, 401, 401, 402, 403, 403, 403, 405, 406, 407, 410, 411, 414,
    6128             :       414, 414, 414, 414, 414, 415, 415, 417, 417, 421, 421, 421, 422, 424, 426, 426, 427, 427, 427, 429, 429, 431, 434, 434, 434, 434, 434, 434, 435, 436,
    6129             :       436, 437, 439, 440, 443, 443, 443, 443, 444, 446, 448, 448, 449, 449, 451, 453, 457, 458, 458, 458, 458, 459, 460, 460, 460, 460, 465, 466, 469, 471,
    6130             :       474, 476, 477, 478, 480, 482, 482, 484, 487, 492, 495, 506, 515, 516, 516, 516, 516, 517, 517, 518};
    6131             : 
    6132             :     static const unsigned int ini3[500]={
    6133             :         1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,   1,
    6134             :         1,   1,   2,   2,   2,   2,   4,   4,   4,   4,   4,   4,   5,   6,   7,   8,   9,   9,   9,  11,  11,  12,  12,  13,  14,  14,  14,  15,  15,  17,
    6135             :        17,  18,  18,  18,  18,  20,  21,  21,  22,  23,  24,  24,  24,  24,  25,  25,  25,  25,  26,  26,  28,  29,  30,  31,  31,  32,  32,  32,  33,  33,
    6136             :        33,  33,  33,  33,  34,  35,  36,  36,  37,  38,  38,  38,  39,  39,  39,  39,  40,  40,  40,  41,  42,  43,  44,  46,  46,  48,  49,  50,  50,  51,
    6137             :        51,  52,  54,  58,  60,  60,  60,  61,  61,  61,  61,  63,  63,  63,  64,  64,  66,  69,  69,  70,  70,  71,  72,  72,  73,  73,  75,  75,  75,  78,
    6138             :        80,  80,  80,  82,  82,  82,  82,  82,  82,  82,  84,  86,  90,  92,  92,  92,  92,  92,  92,  92,  92,  95,  95,  97,  97, 101, 101, 101, 103, 103,
    6139             :       104, 106, 106, 107, 107, 108, 110, 111, 116, 117, 117, 117, 118, 118, 119, 119, 119, 120, 120, 121, 123, 127, 127, 127, 128, 129, 129, 130, 131, 131,
    6140             :       131, 131, 132, 134, 137, 138, 138, 140, 143, 143, 143, 145, 145, 146, 148, 152, 155, 159, 162, 162, 163, 166, 166, 166, 167, 169, 169, 170, 171, 176,
    6141             :       178, 178, 178, 178, 179, 179, 182, 182, 182, 183, 184, 185, 189, 189, 190, 190, 191, 192, 192, 193, 195, 195, 196, 197, 198, 203, 203, 203, 205, 206,
    6142             :       206, 206, 207, 207, 208, 209, 209, 211, 214, 214, 214, 215, 215, 217, 217, 218, 219, 222, 223, 224, 226, 228, 228, 229, 229, 230, 231, 231, 232, 233,
    6143             :       234, 236, 236, 241, 241, 241, 243, 244, 244, 245, 247, 249, 251, 257, 266, 268, 271, 272, 274, 275, 275, 278, 278, 279, 279, 281, 284, 284, 286, 288,
    6144             :       288, 289, 290, 290, 292, 292, 293, 293, 295, 295, 296, 299, 300, 300, 300, 301, 301, 302, 303, 304, 306, 308, 310, 312, 315, 315, 315, 316, 318, 319,
    6145             :       319, 319, 319, 319, 321, 321, 324, 326, 327, 327, 328, 328, 330, 331, 331, 331, 331, 334, 337, 340, 341, 342, 343, 345, 346, 346, 346, 346, 348, 350,
    6146             :       350, 351, 354, 356, 356, 357, 359, 362, 364, 367, 370, 375, 381, 393, 395, 397, 400, 401, 401, 401, 401, 403, 403, 403, 404, 405, 407, 409, 411, 413,
    6147             :       414, 414, 414, 414, 414, 415, 415, 416, 417, 419, 421, 421, 421, 422, 424, 426, 427, 427, 427, 428, 429, 430, 433, 434, 434, 434, 434, 434, 434, 435,
    6148             :       436, 436, 438, 440, 441, 443, 443, 443, 443, 444, 447, 448, 448, 449, 449, 451, 455, 457, 458, 458, 458, 459, 460, 460, 460, 460, 461, 466, 468, 469,
    6149             :       473, 476, 476, 478, 479, 481, 482, 484, 487, 490, 493, 500, 514, 516, 516, 516, 516, 517, 517, 518};
    6150             : 
    6151             :     static const double pi=3.141592654;
    6152             :     static const double picube8div3hcesu=4.1623755E-19;  // (8*pi**3/(3*h*c))*(1e-18)**2 = 4.1623755E-19
    6153             :     static const double mu=0.53;  //Debyes
    6154             :     static const double mmol=49.0;
    6155             : 
    6156             :     //double q=0.664313224*pow(tt,1.5);
    6157    10668574 :     double q=0.664313224*tt*sqrt(tt);
    6158             :     unsigned int vp;
    6159             :     unsigned int ini;
    6160             :     unsigned int ifin;
    6161    10668574 :     std::complex<double>  lshape;
    6162    10668574 :     std::complex<double>  lshapeacum;
    6163             : 
    6164    10668574 :     if(nu>999.9){
    6165             : 
    6166           0 :       return std::complex<double> (0.0,0.0);
    6167             : 
    6168             :     }else{
    6169             : 
    6170    10668574 :       vp = vpIndex(nu);
    6171             : 
    6172    10668574 :       if(pp<25){ ini=ini3[vp]; ifin=ifin3[vp]; }else{ if(pp<300){ ini=ini2[vp]; ifin=ifin2[vp]; }else{ ini=ini1[vp]; ifin=ifin1[vp]; } }
    6173    10668574 :       if(ini>0){ini=ini-1;}else{ifin=0;}
    6174    10668574 :       if(ifin>0){ifin=ifin-1;}else{ifin=0;}
    6175             : 
    6176    10668574 :       if(ifin==0||ifin<ini){
    6177             : 
    6178     4895472 :         return std::complex<double> (0.0,0.0);
    6179             : 
    6180             :       }else{
    6181             : 
    6182    25684692 :         for(unsigned int i=ini; i<ifin+1; i++){
    6183             : 
    6184    19911590 :           lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,brdO3air[i]*0.001,texpO3[i]),0.0);   // broadening en GHz/mb 14/11/2018
    6185             :           // lshape=lineshape(nu,fre[i],linebroadening(fre[i],tt,pp,mmol,0.0025,0.76),0.0);
    6186    19911590 :           lshape=lshape*flin[i]*exp(-el[i]/tt)*fre[i];
    6187    19911590 :           lshapeacum=lshapeacum+lshape;
    6188             : 
    6189             :         }
    6190             : 
    6191     5773102 :         lshapeacum=lshapeacum*(nu/pi)*(0.047992745509/tt)*(picube8div3hcesu*pow(mu,2)/q);  // imaginary part: absorption coefficient in cm^2
    6192             :                                                                                                           // real part: delay in rad*cm^2
    6193             : 
    6194     5773102 :         return lshapeacum*1e-4;    // to give it in SI units (m^2)    // (  rad m^2 , m^2 )
    6195             : 
    6196             :       }
    6197             : 
    6198             :     }
    6199             : 
    6200             :   }
    6201             : 
    6202             : ATM_NAMESPACE_END

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