Index: LMDZ6/trunk/libf/phylmd/StratAer/nucleation_tstep_mod.F90
===================================================================
--- LMDZ6/trunk/libf/phylmd/StratAer/nucleation_tstep_mod.F90	(revision 3677)
+++ LMDZ6/trunk/libf/phylmd/StratAer/nucleation_tstep_mod.F90	(revision 3689)
@@ -206,45 +206,45 @@
        & + 0.0000504021689382576*t*LOG(rhoa)
 
-  jnuc= 0.1430901615568665 + 2.219563673425199*t - 0.02739106114964264*t**2 +  &
-       &  0.00007228107239317088*t**3 + 5.91822263375044/x +                   &
+  jnuc= 0.1430901615568665 + 2.219563673425199*t - 0.02739106114964264*t**2 + &
+       &  0.00007228107239317088*t**3 + 5.91822263375044/x +                  &
        &  0.1174886643003278*LOG(rh) + 0.4625315047693772*t*LOG(rh) -          &
-       &  0.01180591129059253*t**2*LOG(rh) +                                   &
+       &  0.01180591129059253*t**2*LOG(rh) +                                  &
        &  0.0000404196487152575*t**3*LOG(rh) + (15.79628615047088*LOG(rh))/x - &
-       &  0.215553951893509*LOG(rh)**2 - 0.0810269192332194*t*LOG(rh)**2 +     &
+       &  0.215553951893509*LOG(rh)**2 - 0.0810269192332194*t*LOG(rh)**2 +    &
        &  0.001435808434184642*t**2*LOG(rh)**2 -                               &
        &  4.775796947178588E-6*t**3*LOG(rh)**2 -                               &
-       &  (2.912974063702185*LOG(rh)**2)/x - 3.588557942822751*LOG(rh)**3 +    &
+       &  (2.912974063702185*LOG(rh)**2)/x - 3.588557942822751*LOG(rh)**3 +   &
        &  0.04950795302831703*t*LOG(rh)**3 -                                   &
-       &  0.0002138195118737068*t**2*LOG(rh)**3 +                              &
+       &  0.0002138195118737068*t**2*LOG(rh)**3 +                             &
        &  3.108005107949533E-7*t**3*LOG(rh)**3 -                               &
-       &  (0.02933332747098296*LOG(rh)**3)/x +                                 &
+       &  (0.02933332747098296*LOG(rh)**3)/x +                                &
        &  1.145983818561277*LOG(rhoa) -                                        &
-       &  0.6007956227856778*t*LOG(rhoa) +                                     &
+       &  0.6007956227856778*t*LOG(rhoa) +                                    &
        &  0.00864244733283759*t**2*LOG(rhoa) -                                 &
        &  0.00002289467254710888*t**3*LOG(rhoa) -                              &
-       &  (8.44984513869014*LOG(rhoa))/x +                                     &
-       &  2.158548369286559*LOG(rh)*LOG(rhoa) +                                &
+       &  (8.44984513869014*LOG(rhoa))/x +                                    &
+       &  2.158548369286559*LOG(rh)*LOG(rhoa) +                               &
        &  0.0808121412840917*t*LOG(rh)*LOG(rhoa) -                             &
        &  0.0004073815255395214*t**2*LOG(rh)*LOG(rhoa) -                       &
-       &  4.019572560156515E-7*t**3*LOG(rh)*LOG(rhoa) +                        &
-       &  (0.7213255852557236*LOG(rh)*LOG(rhoa))/x +                           &
+       &  4.019572560156515E-7*t**3*LOG(rh)*LOG(rhoa) +                       &
+       &  (0.7213255852557236*LOG(rh)*LOG(rhoa))/x +                          &
        &  1.62409850488771*LOG(rh)**2*LOG(rhoa) -                              &
-       &  0.01601062035325362*t*LOG(rh)**2*LOG(rhoa) +                         &
-       &  0.00003771238979714162*t**2*LOG(rh)**2*LOG(rhoa) +                   &
+       &  0.01601062035325362*t*LOG(rh)**2*LOG(rhoa) +                        &
+       &  0.00003771238979714162*t**2*LOG(rh)**2*LOG(rhoa) +                  &
        &  3.217942606371182E-8*t**3*LOG(rh)**2*LOG(rhoa) -                     &
-       &  (0.01132550810022116*LOG(rh)**2*LOG(rhoa))/x +                       &
+       &  (0.01132550810022116*LOG(rh)**2*LOG(rhoa))/x +                      &
        &  9.71681713056504*LOG(rhoa)**2 -                                      &
-       &  0.1150478558347306*t*LOG(rhoa)**2 +                                  &
-       &  0.0001570982486038294*t**2*LOG(rhoa)**2 +                            &
-       &  4.009144680125015E-7*t**3*LOG(rhoa)**2 +                             &
+       &  0.1150478558347306*t*LOG(rhoa)**2 +                                 &
+       &  0.0001570982486038294*t**2*LOG(rhoa)**2 +                           &
+       &  4.009144680125015E-7*t**3*LOG(rhoa)**2 +                            &
        &  (0.7118597859976135*LOG(rhoa)**2)/x -                                &
-       &  1.056105824379897*LOG(rh)*LOG(rhoa)**2 +                             &
+       &  1.056105824379897*LOG(rh)*LOG(rhoa)**2 +                            &
        &  0.00903377584628419*t*LOG(rh)*LOG(rhoa)**2 -                         &
-       &  0.00001984167387090606*t**2*LOG(rh)*LOG(rhoa)**2 +                   &
+       &  0.00001984167387090606*t**2*LOG(rh)*LOG(rhoa)**2 +                  &
        &  2.460478196482179E-8*t**3*LOG(rh)*LOG(rhoa)**2 -                     &
        &  (0.05790872906645181*LOG(rh)*LOG(rhoa)**2)/x -                       &
-       &  0.1487119673397459*LOG(rhoa)**3 +                                    &
+       &  0.1487119673397459*LOG(rhoa)**3 +                                   &
        &  0.002835082097822667*t*LOG(rhoa)**3 -                                &
-       &  9.24618825471694E-6*t**2*LOG(rhoa)**3 +                              &
+       &  9.24618825471694E-6*t**2*LOG(rhoa)**3 +                             &
        &  5.004267665960894E-9*t**3*LOG(rhoa)**3 -                             &
        &  (0.01270805101481648*LOG(rhoa)**3)/x
@@ -252,25 +252,25 @@
 
   ntot =-0.002954125078716302 - 0.0976834264241286*t + 0.001024847927067835*t**2 - 2.186459697726116E-6*t**3 -    &
-       &   0.1017165718716887/x - 0.002050640345231486*LOG(rh) - 0.007585041382707174*t*LOG(rh) +                 &
+       &   0.1017165718716887/x - 0.002050640345231486*LOG(rh) - 0.007585041382707174*t*LOG(rh) +                &
        &   0.0001926539658089536*t**2*LOG(rh) - 6.70429719683894E-7*t**3*LOG(rh) -                                &
        &   (0.2557744774673163*LOG(rh))/x + 0.003223076552477191*LOG(rh)**2 + 0.000852636632240633*t*LOG(rh)**2 - &
-       &   0.00001547571354871789*t**2*LOG(rh)**2 + 5.666608424980593E-8*t**3*LOG(rh)**2 +                        &
+       &   0.00001547571354871789*t**2*LOG(rh)**2 + 5.666608424980593E-8*t**3*LOG(rh)**2 +                       &
        &   (0.03384437400744206*LOG(rh)**2)/x + 0.04743226764572505*LOG(rh)**3 -                                  &
        &   0.0006251042204583412*t*LOG(rh)**3 + 2.650663328519478E-6*t**2*LOG(rh)**3 -                            &
        &   3.674710848763778E-9*t**3*LOG(rh)**3 - (0.0002672510825259393*LOG(rh)**3)/x -                          &
        &   0.01252108546759328*LOG(rhoa) + 0.005806550506277202*t*LOG(rhoa) -                                     &
-       &   0.0001016735312443444*t**2*LOG(rhoa) + 2.881946187214505E-7*t**3*LOG(rhoa) +                           &
+       &   0.0001016735312443444*t**2*LOG(rhoa) + 2.881946187214505E-7*t**3*LOG(rhoa) +                          &
        &   (0.0942243379396279*LOG(rhoa))/x - 0.0385459592773097*LOG(rh)*LOG(rhoa) -                              &
-       &   0.0006723156277391984*t*LOG(rh)*LOG(rhoa) + 2.602884877659698E-6*t**2*LOG(rh)*LOG(rhoa) +              &
+       &   0.0006723156277391984*t*LOG(rh)*LOG(rhoa) + 2.602884877659698E-6*t**2*LOG(rh)*LOG(rhoa) +             &
        &   1.194163699688297E-8*t**3*LOG(rh)*LOG(rhoa) - (0.00851515345806281*LOG(rh)*LOG(rhoa))/x -              &
        &   0.01837488495738111*LOG(rh)**2*LOG(rhoa) + 0.0001720723574407498*t*LOG(rh)**2*LOG(rhoa) -              &
        &   3.717657974086814E-7*t**2*LOG(rh)**2*LOG(rhoa) -                                                       &
-       &   5.148746022615196E-10*t**3*LOG(rh)**2*LOG(rhoa) +                                                      &
-       &   (0.0002686602132926594*LOG(rh)**2*LOG(rhoa))/x - 0.06199739728812199*LOG(rhoa)**2 +                    &
+       &   5.148746022615196E-10*t**3*LOG(rh)**2*LOG(rhoa) +                                                     &
+       &   (0.0002686602132926594*LOG(rh)**2*LOG(rhoa))/x - 0.06199739728812199*LOG(rhoa)**2 +                   &
        &   0.000906958053583576*t*LOG(rhoa)**2 - 9.11727926129757E-7*t**2*LOG(rhoa)**2 -                          &
-       &   5.367963396508457E-9*t**3*LOG(rhoa)**2 - (0.007742343393937707*LOG(rhoa)**2)/x +                       &
-       &   0.0121827103101659*LOG(rh)*LOG(rhoa)**2 - 0.0001066499571188091*t*LOG(rh)*LOG(rhoa)**2 +               &
+       &   5.367963396508457E-9*t**3*LOG(rhoa)**2 - (0.007742343393937707*LOG(rhoa)**2)/x +                      &
+       &   0.0121827103101659*LOG(rh)*LOG(rhoa)**2 - 0.0001066499571188091*t*LOG(rh)*LOG(rhoa)**2 +              &
        &   2.534598655067518E-7*t**2*LOG(rh)*LOG(rhoa)**2 -                                                       &
-       &   3.635186504599571E-10*t**3*LOG(rh)*LOG(rhoa)**2 +                                                      &
+       &   3.635186504599571E-10*t**3*LOG(rh)*LOG(rhoa)**2 +                                                     &
        &   (0.0006100650851863252*LOG(rh)*LOG(rhoa)**2)/x + 0.0003201836700403512*LOG(rhoa)**3 -                  &
        &   0.0000174761713262546*t*LOG(rhoa)**3 + 6.065037668052182E-8*t**2*LOG(rhoa)**3 -                        &
@@ -527,74 +527,74 @@
      rc_n=0.3E-9
   ELSE
-     jnuc_n= 2.1361182605986115E-1 + 3.3827029855551838*tln -3.2423555796175563E-2*tln**2 +         &
-          &  7.0120069477221989E-5*tln**3 +8.0286874752695141/x_n +                                 &
-          &  -2.6939840579762231E-1*LOG(satratln) +1.6079879299099518*tln*LOG(satratln) +           &
-          &  -1.9667486968141933E-2*tln**2*LOG(satratln) +                                          &
-          &  5.5244755979770844E-5*tln**3*LOG(satratln) + (7.8884704837892468*LOG(satratln))/x_n +  &
-          &  4.6374659198909596*LOG(satratln)**2 - 8.2002809894792153E-2*tln*LOG(satratln)**2 +     &
-          &  8.5077424451172196E-4*tln**2*LOG(satratln)**2 +                                        &
-          &  -2.6518510168987462E-6*tln**3*LOG(satratln)**2 +                                       &
-          &  (-1.4625482500575278*LOG(satratln)**2)/x_n - 5.2413002989192037E-1*LOG(satratln)**3 +  &
-          &  5.2755117653715865E-3*tln*LOG(satratln)**3 +                                           &
-          &  -2.9491061332113830E-6*tln**2*LOG(satratln)**3 +                                       &
-          &  -2.4815454194486752E-8*tln**3*LOG(satratln)**3 +                                       &
-          &  (-5.2663760117394626E-2*LOG(satratln)**3)/x_n +                                        &
-          &  1.6496664658266762*LOG(rhoaln) +                                                       &
-          &  -8.0809397859218401E-1*tln*LOG(rhoaln) +                                               &
-          &  8.9302927091946642E-3*tln**2*LOG(rhoaln) +                                             &
-          &  -1.9583649496497497E-5*tln**3*LOG(rhoaln) +                                            &
-          &  (-8.9505572676891685*LOG(rhoaln))/x_n +                                                &
-          &  -3.0025283601622881E+1*LOG(satratln)*LOG(rhoaln) +                                     &
-          &  3.0783365644763633E-1*tln*LOG(satratln)*LOG(rhoaln) +                                  &
-          &  -7.4521756337984706E-4*tln**2*LOG(satratln)*LOG(rhoaln) +                              &
-          &  -5.7651433870681853E-7*tln**3*LOG(satratln)*LOG(rhoaln) +                              &
-          &  (1.2872868529673207*LOG(satratln)*LOG(rhoaln))/x_n +                                   &
-          &  -6.1739867501526535E-1*LOG(satratln)**2*LOG(rhoaln) +                                  &
-          &  7.2347385705333975E-3*tln*LOG(satratln)**2*LOG(rhoaln) +                               &
-          &  -3.0640494530822439E-5*tln**2*LOG(satratln)**2*LOG(rhoaln) +                           &
-          &  6.5944609194346214E-8*tln**3*LOG(satratln)**2*LOG(rhoaln) +                            &
-          &  (-2.8681650332461055E-2*LOG(satratln)**2*LOG(rhoaln))/x_n +                            &
-          &  6.5213802375160306*LOG(rhoaln)**2 +                                                    &
-          &  -4.7907162004793016E-2*tln*LOG(rhoaln)**2 +                                            &
-          &  -1.0727890114215117E-4*tln**2*LOG(rhoaln)**2 +                                         &
-          &  5.6401818280534507E-7*tln**3*LOG(rhoaln)**2 +                                          &
-          &  (5.4113070888923009E-1*LOG(rhoaln)**2)/x_n +                                           &
-          &  5.2062808476476330E-1*LOG(satratln)*LOG(rhoaln)**2 +                                   &
-          &  -6.0696882500824584E-3*tln*LOG(satratln)*LOG(rhoaln)**2 +                              &
-          &  2.3851383302608477E-5*tln**2*LOG(satratln)*LOG(rhoaln)**2 +                            &
-          &  -1.5243837103067096E-8*tln**3*LOG(satratln)*LOG(rhoaln)**2 +                           &
-          &  (-5.6543192378015687E-2*LOG(satratln)*LOG(rhoaln)**2)/x_n +                            &
-          &  -1.1630806410696815E-1*LOG(rhoaln)**3 +                                                &
-          &  1.3806404273119610E-3*tln*LOG(rhoaln)**3 +                                             &
-          &  -2.0199865087650833E-6*tln**2*LOG(rhoaln)**3 +                                         &
-          &  -3.0200284885763192E-9*tln**3*LOG(rhoaln)**3 +                                         &
+     jnuc_n= 2.1361182605986115E-1 + 3.3827029855551838*tln -3.2423555796175563E-2*tln**2 +        &
+          &  7.0120069477221989E-5*tln**3 +8.0286874752695141/x_n +                                &
+          &  -2.6939840579762231E-1*LOG(satratln) +1.6079879299099518*tln*LOG(satratln) +          &
+          &  -1.9667486968141933E-2*tln**2*LOG(satratln) +                                         &
+          &  5.5244755979770844E-5*tln**3*LOG(satratln) + (7.8884704837892468*LOG(satratln))/x_n + &
+          &  4.6374659198909596*LOG(satratln)**2 - 8.2002809894792153E-2*tln*LOG(satratln)**2 +    &
+          &  8.5077424451172196E-4*tln**2*LOG(satratln)**2 +                                       &
+          &  -2.6518510168987462E-6*tln**3*LOG(satratln)**2 +                                      &
+          &  (-1.4625482500575278*LOG(satratln)**2)/x_n - 5.2413002989192037E-1*LOG(satratln)**3 + &
+          &  5.2755117653715865E-3*tln*LOG(satratln)**3 +                                          &
+          &  -2.9491061332113830E-6*tln**2*LOG(satratln)**3 +                                      &
+          &  -2.4815454194486752E-8*tln**3*LOG(satratln)**3 +                                      &
+          &  (-5.2663760117394626E-2*LOG(satratln)**3)/x_n +                                       &
+          &  1.6496664658266762*LOG(rhoaln) +                                                      &
+          &  -8.0809397859218401E-1*tln*LOG(rhoaln) +                                              &
+          &  8.9302927091946642E-3*tln**2*LOG(rhoaln) +                                            &
+          &  -1.9583649496497497E-5*tln**3*LOG(rhoaln) +                                           &
+          &  (-8.9505572676891685*LOG(rhoaln))/x_n +                                               &
+          &  -3.0025283601622881E+1*LOG(satratln)*LOG(rhoaln) +                                    &
+          &  3.0783365644763633E-1*tln*LOG(satratln)*LOG(rhoaln) +                                 &
+          &  -7.4521756337984706E-4*tln**2*LOG(satratln)*LOG(rhoaln) +                             &
+          &  -5.7651433870681853E-7*tln**3*LOG(satratln)*LOG(rhoaln) +                             &
+          &  (1.2872868529673207*LOG(satratln)*LOG(rhoaln))/x_n +                                  &
+          &  -6.1739867501526535E-1*LOG(satratln)**2*LOG(rhoaln) +                                 &
+          &  7.2347385705333975E-3*tln*LOG(satratln)**2*LOG(rhoaln) +                              &
+          &  -3.0640494530822439E-5*tln**2*LOG(satratln)**2*LOG(rhoaln) +                          &
+          &  6.5944609194346214E-8*tln**3*LOG(satratln)**2*LOG(rhoaln) +                           &
+          &  (-2.8681650332461055E-2*LOG(satratln)**2*LOG(rhoaln))/x_n +                           &
+          &  6.5213802375160306*LOG(rhoaln)**2 +                                                   &
+          &  -4.7907162004793016E-2*tln*LOG(rhoaln)**2 +                                           &
+          &  -1.0727890114215117E-4*tln**2*LOG(rhoaln)**2 +                                        &
+          &  5.6401818280534507E-7*tln**3*LOG(rhoaln)**2 +                                         &
+          &  (5.4113070888923009E-1*LOG(rhoaln)**2)/x_n +                                          &
+          &  5.2062808476476330E-1*LOG(satratln)*LOG(rhoaln)**2 +                                  &
+          &  -6.0696882500824584E-3*tln*LOG(satratln)*LOG(rhoaln)**2 +                             &
+          &  2.3851383302608477E-5*tln**2*LOG(satratln)*LOG(rhoaln)**2 +                           &
+          &  -1.5243837103067096E-8*tln**3*LOG(satratln)*LOG(rhoaln)**2 +                          &
+          &  (-5.6543192378015687E-2*LOG(satratln)*LOG(rhoaln)**2)/x_n +                           &
+          &  -1.1630806410696815E-1*LOG(rhoaln)**3 +                                               &
+          &  1.3806404273119610E-3*tln*LOG(rhoaln)**3 +                                            &
+          &  -2.0199865087650833E-6*tln**2*LOG(rhoaln)**3 +                                        &
+          &  -3.0200284885763192E-9*tln**3*LOG(rhoaln)**3 +                                        &
           &  (-6.9425267104126316E-3*LOG(rhoaln)**3)/x_n
      jnuc_n=EXP(jnuc_n) 
      
      ntot_n =-3.5863435141979573E-3 - 1.0098670235841110E-1*tln + 8.9741268319259721E-4*tln**2 - 1.4855098605195757E-6*tln**3 &
-          &   - 1.2080330016937095E-1/x_n + 1.1902674923928015E-3*LOG(satratln) - 1.9211358507172177E-2*tln*LOG(satratln) +   &
-          &   2.4648094311204255E-4*tln**2*LOG(satratln) - 7.5641448594711666E-7*tln**3*LOG(satratln) +                       &
-          &   (-2.0668639384228818E-02*LOG(satratln))/x_n - 3.7593072011595188E-2*LOG(satratln)**2 +                          &
-          &   9.0993182774415718E-4 *tln*LOG(satratln)**2 +                                                                   &
-          &   -9.5698412164297149E-6*tln**2*LOG(satratln)**2 + 3.7163166416110421E-8*tln**3*LOG(satratln)**2 +                &
-          &   (1.1026579525210847E-2*LOG(satratln)**2)/x_n + 1.1530844115561925E-2 *LOG(satratln)**3 +                        &
-          &   - 1.8083253906466668E-4 *tln*LOG(satratln)**3 + 8.0213604053330654E-7*tln**2*LOG(satratln)**3 +                 &
-          &   -8.5797885383051337E-10*tln**3*LOG(satratln)**3 + (1.0243693899717402E-3*LOG(satratln)**3)/x_n +                &
-          &   -1.7248695296299649E-2*LOG(rhoaln) + 1.1294004162437157E-2*tln*LOG(rhoaln) +                                    &
-          &   -1.2283640163189278E-4*tln**2*LOG(rhoaln) + 2.7391732258259009E-7*tln**3*LOG(rhoaln) +                          &
-          &   (6.8505583974029602E-2*LOG(rhoaln))/x_n +2.9750968179523635E-1*LOG(satratln)*LOG(rhoaln) +                      &
+          &   - 1.2080330016937095E-1/x_n + 1.1902674923928015E-3*LOG(satratln) - 1.9211358507172177E-2*tln*LOG(satratln) +  &
+          &   2.4648094311204255E-4*tln**2*LOG(satratln) - 7.5641448594711666E-7*tln**3*LOG(satratln) +                      &
+          &   (-2.0668639384228818E-02*LOG(satratln))/x_n - 3.7593072011595188E-2*LOG(satratln)**2 +                         &
+          &   9.0993182774415718E-4 *tln*LOG(satratln)**2 +                                                                  &
+          &   -9.5698412164297149E-6*tln**2*LOG(satratln)**2 + 3.7163166416110421E-8*tln**3*LOG(satratln)**2 +               &
+          &   (1.1026579525210847E-2*LOG(satratln)**2)/x_n + 1.1530844115561925E-2 *LOG(satratln)**3 +                       &
+          &   - 1.8083253906466668E-4 *tln*LOG(satratln)**3 + 8.0213604053330654E-7*tln**2*LOG(satratln)**3 +                &
+          &   -8.5797885383051337E-10*tln**3*LOG(satratln)**3 + (1.0243693899717402E-3*LOG(satratln)**3)/x_n +               &
+          &   -1.7248695296299649E-2*LOG(rhoaln) + 1.1294004162437157E-2*tln*LOG(rhoaln) +                                   &
+          &   -1.2283640163189278E-4*tln**2*LOG(rhoaln) + 2.7391732258259009E-7*tln**3*LOG(rhoaln) +                         &
+          &   (6.8505583974029602E-2*LOG(rhoaln))/x_n +2.9750968179523635E-1*LOG(satratln)*LOG(rhoaln) +                     &
           &   -3.6681154503992296E-3 *tln*LOG(satratln)*LOG(rhoaln) + 1.0636473034653114E-5*tln**2*LOG(satratln)*LOG(rhoaln)+ &
           &   5.8687098466515866E-9*tln**3*LOG(satratln)*LOG(rhoaln) + (-5.2028866094191509E-3*LOG(satratln)*LOG(rhoaln))/x_n+&
-          &   7.6971988880587231E-4*LOG(satratln)**2*LOG(rhoaln) - 2.4605575820433763E-5*tln*LOG(satratln)**2*LOG(rhoaln) +   &
-          &   2.3818484400893008E-7*tln**2*LOG(satratln)**2*LOG(rhoaln) +                                                     &
-          &   -8.8474102392445200E-10*tln**3*LOG(satratln)**2*LOG(rhoaln) +                                                   &
-          &   (-1.6640566678168968E-4*LOG(satratln)**2*LOG(rhoaln))/x_n - 7.7390093776705471E-2*LOG(rhoaln)**2 +              &
-          &   5.8220163188828482E-4*tln*LOG(rhoaln)**2 + 1.2291679321523287E-6*tln**2*LOG(rhoaln)**2 +                        &
-          &   -7.4690997508075749E-9*tln**3*LOG(rhoaln)**2 + (-5.6357941220497648E-3*LOG(rhoaln)**2)/x_n +                    &
-          &   -4.7170109625089768E-3*LOG(satratln)*LOG(rhoaln)**2 + 6.9828868534370193E-5*tln*LOG(satratln)*LOG(rhoaln)**2 +  &
-          &   -3.1738912157036403E-7*tln**2*LOG(satratln)*LOG(rhoaln)**2 +                                                    &
-          &   2.3975538706787416E-10*tln**3*LOG(satratln)*LOG(rhoaln)**2 +                                                    &
-          &   (4.2304213386288567E-4*LOG(satratln)*LOG(rhoaln)**2)/x_n + 1.3696520973423231E-3*LOG(rhoaln)**3 +               &
-          &   -1.6863387574788199E-5*tln*LOG(rhoaln)**3 + 2.7959499278844516E-8*tln**2*LOG(rhoaln)**3 +                       &
+          &   7.6971988880587231E-4*LOG(satratln)**2*LOG(rhoaln) - 2.4605575820433763E-5*tln*LOG(satratln)**2*LOG(rhoaln) +  &
+          &   2.3818484400893008E-7*tln**2*LOG(satratln)**2*LOG(rhoaln) +                                                    &
+          &   -8.8474102392445200E-10*tln**3*LOG(satratln)**2*LOG(rhoaln) +                                                  &
+          &   (-1.6640566678168968E-4*LOG(satratln)**2*LOG(rhoaln))/x_n - 7.7390093776705471E-2*LOG(rhoaln)**2 +             &
+          &   5.8220163188828482E-4*tln*LOG(rhoaln)**2 + 1.2291679321523287E-6*tln**2*LOG(rhoaln)**2 +                       &
+          &   -7.4690997508075749E-9*tln**3*LOG(rhoaln)**2 + (-5.6357941220497648E-3*LOG(rhoaln)**2)/x_n +                   &
+          &   -4.7170109625089768E-3*LOG(satratln)*LOG(rhoaln)**2 + 6.9828868534370193E-5*tln*LOG(satratln)*LOG(rhoaln)**2 + &
+          &   -3.1738912157036403E-7*tln**2*LOG(satratln)*LOG(rhoaln)**2 +                                                   &
+          &   2.3975538706787416E-10*tln**3*LOG(satratln)*LOG(rhoaln)**2 +                                                   &
+          &   (4.2304213386288567E-4*LOG(satratln)*LOG(rhoaln)**2)/x_n + 1.3696520973423231E-3*LOG(rhoaln)**3 +              &
+          &   -1.6863387574788199E-5*tln*LOG(rhoaln)**3 + 2.7959499278844516E-8*tln**2*LOG(rhoaln)**3 +                      &
           &   3.9423927013227455E-11*tln**3*LOG(rhoaln)**3 + (8.6136359966337272E-5*LOG(rhoaln)**3)/x_n
      ntot_n=EXP(ntot_n)
@@ -634,5 +634,5 @@
 
   IF (tln .LT. 185. .AND. tln .GT. 155.) THEN
-     rhoatres=1.1788859232398459E+5 - 1.0244255702550814E+4*satratln +   &
+     rhoatres=1.1788859232398459E+5 - 1.0244255702550814E+4*satratln +  &
           & 4.6815029684321962E+3*satratln**2 -1.6755952338499657E+2*tln
   ENDIF
@@ -672,144 +672,144 @@
         rc_i=0.487E-9
      ELSE
-        jnuc_i1 = 3.0108954259038608E+01+tli*6.1176722090512577E+01+(tli**2)*8.7240333618891663E-01+(tli**3)*                 &
-             & -4.6191788649375719E-03+(tli**(-1))*8.3537059107024481E-01 +                                                   &
-             & (1.5028549216690628E+01+tli*-1.9310989753720623E-01+(tli**2)*8.0155514634860480E-04+(tli**3)*                  &
-             & -1.0832730707799128E-06+(tli**(-1))*1.7577660457989019)*(LOG(satratli)**(-2)) +                                &
-             & (-2.0487870170216488E-01 +  tli * 1.3263949252910405E-03 +  (tli**2) * -8.4195688402450274E-06 +               &
-             & (tli**3)*1.6154895940993287E-08 + (tli**(-1))*3.8734212545203874E+01) * (LOG(satratli)**(-2)*LOG(rhoali)) +    &
-             & (1.4955918863858371 +  tli * 9.2290004245522454E+01 +  (tli**2) * -8.9006965195392618E-01 +                    &
-             & (tli**3) * 2.2319123411013099E-03 + (tli**(-1)) * 4.0180079996840852E-03) *                                    &
-             & (LOG(satratli)**(-1) * LOG(rhoali)**(-1)) +                                                                    &
-             & (7.9018031228561085 +  tli * -1.1649433968658949E+01 +  (tli**2) * 1.1400827854910951E-01 +                    &
-             & (tli**3) * -3.1941526492127755E-04 + (tli**(-1)) * -3.7662115740271446E-01) * (LOG(satratli)**(-1)) +          &
-             & (1.5725237111225979E+02 +  tli * -1.0051649979836277 +  (tli**2) * 1.1866484014507624E-03 +                    &
-             & (tli**3) * 7.3557614998540389E-06 + (tli**(-1)) * 2.6270197023115189) * (LOG(satratli)**(-1) * LOG(rhoali)) +  &
-             & (-1.6973840122470968E+01 +  tli * 1.1258423691432135E-01 +  (tli**2) * -2.9850139351463793E-04 + (tli**3) *    &
-             & 1.4301286324827064E-07 + (tli**(-1)) * 1.3163389235253725E+01) * (LOG(satratli)**(-1) * LOG(rhoali)**2) +      &
-             & (-1.0399591631839757 +  tli * 2.7022055588257691E-03 +  (tli**2) * -2.1507467231330936E-06 + (tli**3) *        &
-             & 3.8059489037584171E-10 + (tli**(-1)) * 1.5000492788553410E+02) * (LOG(satratli)**(-1) * LOG(rhoali)**3) +      &
-             & (1.2250990965305315 +  tli * 3.0495946490079444E+01 +  (tli**2) * 2.1051563135187106E+01 + (tli**3) *          &
-             & -8.2200682916580878E-02 + (tli**(-1)) * 2.9965871386685029E-02) * (LOG(rhoali)**(-2)) +                        &
-             & (4.8281605955680433 +  tli * 1.7346551710836445E+02 +  (tli**2) * -1.0113602140796010E+01 + (tli**3) *         &
-             & 3.7482518458685089E-02 + (tli**(-1)) * -1.4449998158558205E-01) * (LOG(rhoali)**(-1)) +                        &
-             & (2.3399230964451237E+02 +  tli * -2.3099267235261948E+01 +  (tli**2) * 8.0122962140916354E-02 +                &
-             & (tli**3) * 6.1542576994557088E-05 + (tli**(-1)) * 5.3718413254843007) * (LOG(rhoali)) +                        &
-             & (1.0299715519499360E+02 +  tli * -6.4663357203364136E-02 +  (tli**2) * -2.0487150565050316E-03 +               &
-             & (tli**3) * 8.7935289055530897E-07 + (tli**(-1)) * 3.6013204601215229E+01) * (LOG(rhoali)**2) +                 &
-             & (-3.5452115439584042 +  tli * 1.7083445731159330E-02 +  (tli**2) * -1.2552625290862626E-05 + (tli**3) *        &
-             & 1.2968447449182847E-09 + (tli**(-1)) * 1.5748687512056560E+02) * (LOG(rhoali)**3) +                            &
-             & (2.2338490119517975 +  tli * 1.0229410216045540E+02 +  (tli**2) * -3.2103611955174052 + (tli**3) *             &
-             & 1.3397152304977591E-02 + (tli**(-1)) * -2.4155187776460030E-02) * (LOG(satratli)* LOG(rhoali)**(-2)) +         &
-             & (3.7592282990713963 +  tli * -1.5257988769009816E+02 +  (tli**2) * 2.6113805420558802 + (tli**3) *             &
-             & -9.0380721653694363E-03 + (tli**(-1)) * -1.3974197138171082E-01) * (LOG(satratli)* LOG(rhoali)**(-1)) +        &
-             & (1.8293600730573988E+01 +  tli * 1.8344728606002992E+01 +  (tli**2) * -4.0063363221106751E-01 + (tli**3)       &
-             & * 1.4842749371258522E-03 + (tli**(-1)) * 1.1848846003282287) * (LOG(satratli)) +                               &
-             & (-1.7634531623032314E+02 +  tli * 4.9011762441271278 +  (tli**2) * -1.3195821562746339E-02 + (tli**3) *        &
-             & -2.8668619526430859E-05 + (tli**(-1)) * -2.9823396976393551E-01) * (LOG(satratli)* LOG(rhoali)) +              &
-             & (-3.2944043694275727E+01 +  tli * 1.2517571921051887E-01 +  (tli**2) * 8.3239769771186714E-05 + (tli**3) *     &
-             & 2.8191859341519507E-07 + (tli**(-1)) * -2.7352880736682319E+01) * (LOG(satratli)* LOG(rhoali)**2) +            &
-             & (-1.1451811137553243 +  tli * 2.0625997485732494E-03 +  (tli**2) * -3.4225389469233624E-06 + (tli**3) *        &
-             & 4.4437613496984567E-10 + (tli**(-1)) * 1.8666644332606754E+02) * (LOG(satratli)* LOG(rhoali)**3) +             &
-             & (3.2270897099493567E+01 +  tli * 7.7898447327513687E-01 +  (tli**2) * -6.5662738484679626E-03 + (tli**3) *     &
-             & 3.7899330796456790E-06 + (tli**(-1)) * 7.1106427501756542E-01) * (LOG(satratli)**2 * LOG(rhoali)**(-1)) +      &
-             & (-2.8901906781697811E+01 +  tli * -1.5356398793054860 +  (tli**2) * 1.9267271774384788E-02 + (tli**3) *        &
-             & -5.3886270475516162E-05 + (tli**(-1)) * 5.0490415975693426E-01) * (LOG(satratli)**2) +                         &
-             & (3.3365683645733924E+01 +  tli * -3.6114561564894537E-01 +  (tli**2) * 9.2977354471929262E-04 + (tli**3) *     &
-             & 1.9549769069511355E-07 + (tli**(-1)) * -8.8865930095112855) * (LOG(satratli)**2 * LOG(rhoali)) +               &
-             & (2.4592563042806375 +  tli * -8.3227071743101084E-03 +  (tli**2) * 8.2563338043447783E-06 + (tli**3) *         &
-             & -8.4374976698593496E-09 + (tli**(-1)) * -2.0938173949893473E+02) * (LOG(satratli)**2 * LOG(rhoali)**2) +       &
-             & (4.4099823444352317E+01 +  tli * 2.5915665826835252 +  (tli**2) * -1.6449091819482634E-02 + (tli**3) *         &
+        jnuc_i1 = 3.0108954259038608E+01+tli*6.1176722090512577E+01+(tli**2)*8.7240333618891663E-01+(tli**3)*                &
+             & -4.6191788649375719E-03+(tli**(-1))*8.3537059107024481E-01 +                                                  &
+             & (1.5028549216690628E+01+tli*(-1.9310989753720623E-01)+(tli**2)*8.0155514634860480E-04+(tli**3)*               &
+             & -1.0832730707799128E-06+(tli**(-1))*1.7577660457989019)*(LOG(satratli)**(-2)) +                               &
+             & (-2.0487870170216488E-01 + tli * 1.3263949252910405E-03 + (tli**2) *(-8.4195688402450274E-06) +               &
+             & (tli**3)*1.6154895940993287E-08 + (tli**(-1))*3.8734212545203874E+01) * (LOG(satratli)**(-2)*LOG(rhoali)) +   &
+             & (1.4955918863858371 + tli * 9.2290004245522454E+01 + (tli**2) *(-8.9006965195392618E-01) +                    &
+             & (tli**3) * 2.2319123411013099E-03 + (tli**(-1)) * 4.0180079996840852E-03) *                                   &
+             & (LOG(satratli)**(-1) * LOG(rhoali)**(-1)) +                                                                   &
+             & (7.9018031228561085 + tli *(-1.1649433968658949E+01) + (tli**2) * 1.1400827854910951E-01 +                    &
+             & (tli**3) *(-3.1941526492127755E-04) + (tli**(-1)) *(-3.7662115740271446E-01)) * (LOG(satratli)**(-1)) +       &
+             & (1.5725237111225979E+02 + tli *(-1.0051649979836277) + (tli**2) * 1.1866484014507624E-03 +                    &
+             & (tli**3) * 7.3557614998540389E-06 + (tli**(-1)) * 2.6270197023115189) * (LOG(satratli)**(-1) * LOG(rhoali)) + &
+             & (-1.6973840122470968E+01 + tli * 1.1258423691432135E-01 + (tli**2) *(-2.9850139351463793E-04) + (tli**3) *    &
+             & 1.4301286324827064E-07 + (tli**(-1)) * 1.3163389235253725E+01) * (LOG(satratli)**(-1) * LOG(rhoali)**2) +     &
+             & (-1.0399591631839757 + tli * 2.7022055588257691E-03 + (tli**2) *(-2.1507467231330936E-06) + (tli**3) *        &
+             & 3.8059489037584171E-10 + (tli**(-1)) * 1.5000492788553410E+02) * (LOG(satratli)**(-1) * LOG(rhoali)**3) +     &
+             & (1.2250990965305315 + tli * 3.0495946490079444E+01 + (tli**2) * 2.1051563135187106E+01 + (tli**3) *           &
+             & -8.2200682916580878E-02 + (tli**(-1)) * 2.9965871386685029E-02) * (LOG(rhoali)**(-2)) +                       &
+             & (4.8281605955680433 + tli * 1.7346551710836445E+02 + (tli**2) *(-1.0113602140796010E+01) + (tli**3) *         &
+             & 3.7482518458685089E-02 + (tli**(-1)) *(-1.4449998158558205E-01)) * (LOG(rhoali)**(-1)) +                      &
+             & (2.3399230964451237E+02 + tli *(-2.3099267235261948E+01) + (tli**2) * 8.0122962140916354E-02 +                &
+             & (tli**3) * 6.1542576994557088E-05 + (tli**(-1)) * 5.3718413254843007) * (LOG(rhoali)) +                       &
+             & (1.0299715519499360E+02 + tli *(-6.4663357203364136E-02) + (tli**2) *(-2.0487150565050316E-03) +              &
+             & (tli**3) * 8.7935289055530897E-07 + (tli**(-1)) * 3.6013204601215229E+01) * (LOG(rhoali)**2) +                &
+             & (-3.5452115439584042 + tli * 1.7083445731159330E-02 + (tli**2) *(-1.2552625290862626E-05) + (tli**3) *        &
+             & 1.2968447449182847E-09 + (tli**(-1)) * 1.5748687512056560E+02) * (LOG(rhoali)**3) +                           &
+             & (2.2338490119517975 + tli * 1.0229410216045540E+02 + (tli**2) *(-3.2103611955174052) + (tli**3) *             &
+             & 1.3397152304977591E-02 + (tli**(-1)) *(-2.4155187776460030E-02)) * (LOG(satratli)* LOG(rhoali)**(-2)) +       &
+             & (3.7592282990713963 + tli *(-1.5257988769009816E+02) + (tli**2) * 2.6113805420558802 + (tli**3) *             &
+             & -9.0380721653694363E-03 + (tli**(-1)) *(-1.3974197138171082E-01)) * (LOG(satratli)* LOG(rhoali)**(-1)) +      &
+             & (1.8293600730573988E+01 + tli * 1.8344728606002992E+01 + (tli**2) *(-4.0063363221106751E-01) + (tli**3)       &
+             & * 1.4842749371258522E-03 + (tli**(-1)) * 1.1848846003282287) * (LOG(satratli)) +                              &
+             & (-1.7634531623032314E+02 + tli * 4.9011762441271278 + (tli**2) *(-1.3195821562746339E-02) + (tli**3) *        &
+             & -2.8668619526430859E-05 + (tli**(-1)) *(-2.9823396976393551E-01)) * (LOG(satratli)* LOG(rhoali)) +            &
+             & (-3.2944043694275727E+01 + tli * 1.2517571921051887E-01 + (tli**2) * 8.3239769771186714E-05 + (tli**3) *      &
+             & 2.8191859341519507E-07 + (tli**(-1)) *(-2.7352880736682319E+01)) * (LOG(satratli)* LOG(rhoali)**2) +          &
+             & (-1.1451811137553243 + tli * 2.0625997485732494E-03 + (tli**2) *(-3.4225389469233624E-06) + (tli**3) *        &
+             & 4.4437613496984567E-10 + (tli**(-1)) * 1.8666644332606754E+02) * (LOG(satratli)* LOG(rhoali)**3) +            &
+             & (3.2270897099493567E+01 + tli * 7.7898447327513687E-01 + (tli**2) *(-6.5662738484679626E-03) + (tli**3) *     &
+             & 3.7899330796456790E-06 + (tli**(-1)) * 7.1106427501756542E-01) * (LOG(satratli)**2 * LOG(rhoali)**(-1)) +     &
+             & (-2.8901906781697811E+01 + tli *(-1.5356398793054860) + (tli**2) * 1.9267271774384788E-02 + (tli**3) *        &
+             & -5.3886270475516162E-05 + (tli**(-1)) * 5.0490415975693426E-01) * (LOG(satratli)**2) +                        &
+             & (3.3365683645733924E+01 + tli *(-3.6114561564894537E-01) + (tli**2) * 9.2977354471929262E-04 + (tli**3) *     &
+             & 1.9549769069511355E-07 + (tli**(-1)) *(-8.8865930095112855)) * (LOG(satratli)**2 * LOG(rhoali)) +             &
+             & (2.4592563042806375 + tli *(-8.3227071743101084E-03) + (tli**2) * 8.2563338043447783E-06 + (tli**3) *         &
+             & -8.4374976698593496E-09 + (tli**(-1)) *(-2.0938173949893473E+02)) * (LOG(satratli)**2 * LOG(rhoali)**2) +     &
+             & (4.4099823444352317E+01 + tli * 2.5915665826835252 + (tli**2) *(-1.6449091819482634E-02) + (tli**3) *         &
              & 2.6797249816144721E-05 + (tli**(-1)) * 5.5045672663909995E-01)* satratli
         jnuc_i1=EXP(jnuc_i1)
         
-        ntot_i = ABS((-4.8324296064013375E+04 +  tli * 5.0469120697428906E+02 +  (tli**2) * -1.1528940488496042E+00 +         &
-             & (tli**(-1)) * -8.6892744676239192E+02 + (tli**(3)) * 4.0030302028120469E-04) +                                 &
-             & (-6.7259105232039847E+03 +  tli * 1.9197488157452008E+02 +  (tli**2) * -1.3602976930126354E+00 +               &
-             & (tli**(-1)) * -1.1212637938360332E+02 + (tli**(3)) * 2.8515597265933207E-03) *                                 &
-             & LOG(satratli)**(-2) * LOG(rhoali)**(-2) +                                                                      &
-             & (2.6216455217763342E+02 +  tli * -2.3687553252750821E+00 +  (tli**2) * 7.4074554767517521E-03 +                &
-             & (tli**(-1)) * -1.9213956820114927E+03 + (tli**(3)) * -9.3839114856129453E-06) * LOG(satratli)**(-2) +          &
-             & (3.9652478944137344E+00 +  tli * 1.2469375098256536E-02 +  (tli**2) * -9.9837754694045633E-05 + (tli**(-1)) *  &
-             & -5.1919499210175138E+02 + (tli**(3)) * 1.6489001324583862E-07) * LOG(satratli)**(-2) * LOG(rhoali) +           &
-             & (2.4975714429096206E+02 +  tli * 1.7107594562445172E+02 +  (tli**2) * -7.8988711365135289E-01 + (tli**(-1)) *  &
-             & -2.2243599782483177E+01 + (tli**(3)) * -1.6291523004095427E-04) * LOG(satratli)**(-1) * LOG(rhoali)**(-2) +    &
-             & (-8.9270715592533611E+02 +  tli * 1.2053538883338946E+02 +  (tli**2) * -1.5490408828541018E+00 + (tli**(-1)) * &
-             & -1.1243275579419826E+01 + (tli**(3)) * 4.8053105606904655E-03) * LOG(satratli)**(-1) * LOG(rhoali)**(-1) +     &
-             & (7.6426441642091631E+03 +  tli * -7.1785462414656578E+01 +  (tli**2) * 2.3851864923199523E-01 + (tli**(-1)) *  &
-             & 8.5591775688708395E+01 + (tli**(3)) * -3.7000473243342858E-04) * LOG(satratli)**(-1) +                         &
-             & (-5.1516826398607911E+01 +  tli * 9.1385720811460558E-01 +  (tli**2) * -3.5477100262158974E-03 +               &
+        ntot_i = ABS((-4.8324296064013375E+04 + tli * 5.0469120697428906E+02 + (tli**2) *(-1.1528940488496042E+00) +         &
+             & (tli**(-1)) *(-8.6892744676239192E+02) + (tli**(3)) * 4.0030302028120469E-04) +                               &
+             & (-6.7259105232039847E+03 + tli * 1.9197488157452008E+02 + (tli**2) *(-1.3602976930126354E+00) +               &
+             & (tli**(-1)) *(-1.1212637938360332E+02) + (tli**(3)) * 2.8515597265933207E-03) *                               &
+             & LOG(satratli)**(-2) * LOG(rhoali)**(-2) +                                                                     &
+             & (2.6216455217763342E+02 + tli *(-2.3687553252750821E+00) + (tli**2) * 7.4074554767517521E-03 +                &
+             & (tli**(-1)) *(-1.9213956820114927E+03) + (tli**(3)) *(-9.3839114856129453E-06)) * LOG(satratli)**(-2) +       &
+             & (3.9652478944137344E+00 + tli * 1.2469375098256536E-02 + (tli**2) *(-9.9837754694045633E-05) + (tli**(-1)) *  &
+             & -5.1919499210175138E+02 + (tli**(3)) * 1.6489001324583862E-07) * LOG(satratli)**(-2) * LOG(rhoali) +          &
+             & (2.4975714429096206E+02 + tli * 1.7107594562445172E+02 + (tli**2) *(-7.8988711365135289E-01) + (tli**(-1)) *  &
+             & -2.2243599782483177E+01 + (tli**(3)) *(-1.6291523004095427E-04)) * LOG(satratli)**(-1) * LOG(rhoali)**(-2) +  &
+             & (-8.9270715592533611E+02 + tli * 1.2053538883338946E+02 + (tli**2) *(-1.5490408828541018E+00) + (tli**(-1)) * &
+             & -1.1243275579419826E+01 + (tli**(3)) * 4.8053105606904655E-03) * LOG(satratli)**(-1) * LOG(rhoali)**(-1) +    &
+             & (7.6426441642091631E+03 + tli *(-7.1785462414656578E+01) + (tli**2) * 2.3851864923199523E-01 + (tli**(-1)) *  &
+             & 8.5591775688708395E+01 + (tli**(3)) *(-3.7000473243342858E-04)) * LOG(satratli)**(-1) +                       &
+             & (-5.1516826398607911E+01 + tli * 9.1385720811460558E-01 + (tli**2) *(-3.5477100262158974E-03) +               &
              & (tli**(-1)) * 2.7545544507625586E+03 + (tli**(3)) * 5.4708262093640928E-06) * LOG(satratli)**(-1) * LOG(rhoali) + &
-             & (-3.0386767129196176E+02 +  tli * -1.1033438883583569E+04 +  (tli**2) * 8.1296859732896067E+01 + (tli**(-1)) * &
-             & 1.2625883141097162E+01 + (tli**(3)) * -1.2728497822219101E-01) * LOG(rhoali)**(-2) +                           &
-             & (-3.3763494256461472E+03 +  tli * 3.1916579136391006E+03 +  (tli**2) * -2.7234339474441143E+01 + (tli**(-1)) * &
-             & -2.1897653262707397E+01 + (tli**(3)) * 5.1788505812259071E-02) * LOG(rhoali)**(-1) +                           &
-             & (-1.8817843873687068E+03 +  tli * 4.3038072285882070E+00 +  (tli**2) * 6.6244087689671860E-03 + (tli**(-1)) *  &
-             & -2.7133073605696295E+03 + (tli**(3)) * -1.7951557394285043E-05) * LOG(rhoali) +                                &
-             & (-1.7668827539244447E+02 +  tli * 4.8160932330629913E-01 +  (tli**2) * -6.3133007671100293E-04 + (tli**(-1)) * &
-             & 2.5631774669873157E+04 + (tli**(3)) * 4.1534484127873519E-07) * LOG(rhoali)**(2) +                             &
-             & (-1.6661835889222382E+03 +  tli * 1.3708900504682877E+03 +  (tli**2) * -1.7919060052198969E+01 + (tli**(-1)) * &
-             & -3.5145029804436405E+01 + (tli**(3)) * 5.1047240947371224E-02) * LOG(satratli)* LOG(rhoali)**(-2) +            &
-             & (1.0843549363030939E+04 +  tli * -7.3557073636139577E+01 +  (tli**2) * 1.2054625131778862E+00 + (tli**(-1)) *  &
-             & 1.9358737917864391E+02 + (tli**(3)) * -4.2871620775911338E-03) * LOG(satratli)* LOG(rhoali)**(-1) +            &
-             & (-2.4269802549752835E+03 +  tli * 1.1348265061941714E+01 +  (tli**2) * -5.0430423939495157E-02 + (tli**(-1)) * &
-             & 2.3709874548950634E+03 + (tli**(3)) * 1.4091851828620244E-04) * LOG(satratli) +                                &
-             & (5.2745372575251588E+02 +  tli * -2.6080675912627314E+00 +  (tli**2) * 5.6902218056670145E-03 + (tli**(-1)) *  &
-             & -3.2149319482897838E+04 + (tli**(3)) * -5.4121996056745853E-06) * LOG(satratli)* LOG(rhoali) +                 &
-             & (-1.6401959518360403E+01 +  tli * 2.4322962162439640E-01 +  (tli**2) * 1.1744366627725344E-03 + (tli**(-1)) *  &
-             & -8.2694427518413195E+03 + (tli**(3)) * -5.0028379203873102E-06)* LOG(satratli)**(2) +                          &
-             & (-2.7556572017167782E+03 +  tli * 4.9293344495058264E+01 +  (tli**2) * -2.6503456520676050E-01 + (tli**(-1)) * &
-             & 1.2130698030982167E+03 + (tli**(3)) * 4.3530610668042957E-04)* LOG(satratli)**2 * LOG(rhoali)**(-1) +          &
-             & (-6.3419182228959192E+00 +  tli * 4.0636212834605827E-02 +  (tli**2) * -1.0450112687842742E-04 + (tli**(-1)) * &
-             & 3.1035882189759656E+02 + (tli**(3)) * 9.4328418657873500E-08)* LOG(satratli)**(-3) +                           &
-             & (3.0189213304689042E+03 +  tli * -2.3804654203861684E+01 +  (tli**2) * 6.8113013411972942E-02 + (tli**(-1)) *  &
-             & 6.3112071081188913E+02 + (tli**(3)) * -9.4460854261685723E-05)* (satratli) * LOG(rhoali) +                     &
-             & (1.1924791930673702E+04 +  tli * -1.1973824959206000E+02 +  (tli**2) * 1.6888713097971020E-01 + (tli**(-1)) *  &
-             & 1.8735938211539585E+02 + (tli**(3)) * 5.0974564680442852E-04)* (satratli) +                                    &
-             & (3.6409071302482083E+01 +  tli * 1.7919859306449623E-01 +  (tli**2) * -1.0020116255895206E-03 + (tli**(-1)) *  &
+             & (-3.0386767129196176E+02 + tli *(-1.1033438883583569E+04) + (tli**2) * 8.1296859732896067E+01 + (tli**(-1)) * &
+             & 1.2625883141097162E+01 + (tli**(3)) *(-1.2728497822219101E-01)) * LOG(rhoali)**(-2) +                         &
+             & (-3.3763494256461472E+03 + tli * 3.1916579136391006E+03 + (tli**2) *(-2.7234339474441143E+01) + (tli**(-1)) * &
+             & -2.1897653262707397E+01 + (tli**(3)) * 5.1788505812259071E-02) * LOG(rhoali)**(-1) +                          &
+             & (-1.8817843873687068E+03 + tli * 4.3038072285882070E+00 + (tli**2) * 6.6244087689671860E-03 + (tli**(-1)) *   &
+             & -2.7133073605696295E+03 + (tli**(3)) *(-1.7951557394285043E-05)) * LOG(rhoali) +                              &
+             & (-1.7668827539244447E+02 + tli * 4.8160932330629913E-01 + (tli**2) *(-6.3133007671100293E-04) + (tli**(-1)) * &
+             & 2.5631774669873157E+04 + (tli**(3)) * 4.1534484127873519E-07) * LOG(rhoali)**(2) +                            &
+             & (-1.6661835889222382E+03 + tli * 1.3708900504682877E+03 + (tli**2) *(-1.7919060052198969E+01) + (tli**(-1)) * &
+             & -3.5145029804436405E+01 + (tli**(3)) * 5.1047240947371224E-02) * LOG(satratli)* LOG(rhoali)**(-2) +           &
+             & (1.0843549363030939E+04 + tli *(-7.3557073636139577E+01) + (tli**2) * 1.2054625131778862E+00 + (tli**(-1)) *  &
+             & 1.9358737917864391E+02 + (tli**(3)) *(-4.2871620775911338E-03)) * LOG(satratli)* LOG(rhoali)**(-1) +          &
+             & (-2.4269802549752835E+03 + tli * 1.1348265061941714E+01 + (tli**2) *(-5.0430423939495157E-02) + (tli**(-1)) * &
+             & 2.3709874548950634E+03 + (tli**(3)) * 1.4091851828620244E-04) * LOG(satratli) +                               &
+             & (5.2745372575251588E+02 + tli *(-2.6080675912627314E+00) + (tli**2) * 5.6902218056670145E-03 + (tli**(-1)) *  &
+             & -3.2149319482897838E+04 + (tli**(3)) *(-5.4121996056745853E-06)) * LOG(satratli)* LOG(rhoali) +               &
+             & (-1.6401959518360403E+01 + tli * 2.4322962162439640E-01 + (tli**2) * 1.1744366627725344E-03 + (tli**(-1)) *   &
+             & -8.2694427518413195E+03 + (tli**(3)) *(-5.0028379203873102E-06))* LOG(satratli)**(2) +                        &
+             & (-2.7556572017167782E+03 + tli * 4.9293344495058264E+01 + (tli**2) *(-2.6503456520676050E-01) + (tli**(-1)) * &
+             & 1.2130698030982167E+03 + (tli**(3)) * 4.3530610668042957E-04)* LOG(satratli)**2 * LOG(rhoali)**(-1) +         &
+             & (-6.3419182228959192E+00 + tli * 4.0636212834605827E-02 + (tli**2) *(-1.0450112687842742E-04) + (tli**(-1)) * &
+             & 3.1035882189759656E+02 + (tli**(3)) * 9.4328418657873500E-08)* LOG(satratli)**(-3) +                          &
+             & (3.0189213304689042E+03 + tli *(-2.3804654203861684E+01) + (tli**2) * 6.8113013411972942E-02 + (tli**(-1)) *  &
+             & 6.3112071081188913E+02 + (tli**(3)) *(-9.4460854261685723E-05))* (satratli) * LOG(rhoali) +                   &
+             & (1.1924791930673702E+04 + tli *(-1.1973824959206000E+02) + (tli**2) * 1.6888713097971020E-01 + (tli**(-1)) *  &
+             & 1.8735938211539585E+02 + (tli**(3)) * 5.0974564680442852E-04)* (satratli) +                                   &
+             & (3.6409071302482083E+01 + tli * 1.7919859306449623E-01 + (tli**2) *(-1.0020116255895206E-03) + (tli**(-1)) *  &
              & -8.3521083354432303E+03 + (tli**(3)) * 1.5879900546795635E-06)* satratli * LOG(rhoali)**(2))
           
-        rc_i = (-3.6318550637865524E-08 +  tli * 2.1740704135789128E-09   +  (tli**2) *                          &
-             & -8.5521429066506161E-12 + (tli**3) * -9.3538647454573390E-15) +                                   &
-             & (2.1366936839394922E-08 +  tli * -2.4087168827395623E-10 +  (tli**2) * 8.7969869277074319E-13 +   &
-             & (tli**3) * -1.0294466881303291E-15)* LOG(satratli)**(-2) * LOG(rhoali)**(-1) +                    &
-             & (-7.7804007761164303E-10 +  tli * 1.0327058173517932E-11 +  (tli**2) * -4.2557697639692428E-14 +  &
+        rc_i = (-3.6318550637865524E-08 + tli * 2.1740704135789128E-09   + (tli**2) *                            &
+             & -8.5521429066506161E-12 + (tli**3) *(-9.3538647454573390E-15)) +                                  &
+             & (2.1366936839394922E-08 + tli *(-2.4087168827395623E-10) + (tli**2) * 8.7969869277074319E-13 +    &
+             & (tli**3) *(-1.0294466881303291E-15))* LOG(satratli)**(-2) * LOG(rhoali)**(-1) +                   &
+             & (-7.7804007761164303E-10 + tli * 1.0327058173517932E-11 + (tli**2) *(-4.2557697639692428E-14) +   &
              & (tli**3) * 5.4082507061618662E-17)* LOG(satratli)**(-2) +                                         &
-             & (3.2628927397420860E-12 +  tli * -7.6475692919751066E-14 +  (tli**2) * 4.1985816845259788E-16 +   &
-             & (tli**3) * -6.2281395889592719E-19)* LOG(satratli)**(-2) * LOG(rhoali) +                          &
-             & (2.0442205540818555E-09 +  tli * 4.0441858911249830E-08 +  (tli**2) * -3.3423487629482825E-10 +   &
+             & (3.2628927397420860E-12 + tli *(-7.6475692919751066E-14) + (tli**2) * 4.1985816845259788E-16 +    &
+             & (tli**3) *(-6.2281395889592719E-19))* LOG(satratli)**(-2) * LOG(rhoali) +                         &
+             & (2.0442205540818555E-09 + tli * 4.0441858911249830E-08 + (tli**2) *(-3.3423487629482825E-10) +    &
              & (tli**3) * 6.8000404742985678E-13)* LOG(satratli)**(-1) * LOG(rhoali)**(-2) +                     &
-             & (1.8381489183824627E-08 +  tli * -8.9853322951518919E-09 +  (tli**2) * 7.5888799566036185E-11 +   &
-             & (tli**3) * -1.5823457864755549E-13)* LOG(satratli)**(-1) * LOG(rhoali)**(-1) +                    &
-             & (1.1795760639695057E-07 +  tli * -8.1046722896375875E-10 +  (tli**2) * 9.1868604369041857E-14 +   &
+             & (1.8381489183824627E-08 + tli *(-8.9853322951518919E-09) + (tli**2) * 7.5888799566036185E-11 +    &
+             & (tli**3) *(-1.5823457864755549E-13))* LOG(satratli)**(-1) * LOG(rhoali)**(-1) +                   &
+             & (1.1795760639695057E-07 + tli *(-8.1046722896375875E-10) + (tli**2) * 9.1868604369041857E-14 +    &
              & (tli**3) * 4.7882428237444610E-15)* LOG(satratli)**(-1) +                                         &
-             & (-4.4028846582545952E-09 +  tli * 4.6541269232626618E-11 +  (tli**2) * -1.1939929984285194E-13 +  &
+             & (-4.4028846582545952E-09 + tli * 4.6541269232626618E-11 + (tli**2) *(-1.1939929984285194E-13) +   &
              & (tli**3) * 2.3602037016614437E-17)* LOG(satratli)**(-1) * LOG(rhoali) +                           &
-             & (2.7885056884209128E-11 +  tli * -4.5167129624119121E-13 +  (tli**2) * 1.6558404997394422E-15 +   &
-             & (tli**3) * -1.2037336621218054E-18)* LOG(satratli)**(-1) * LOG(rhoali)**2 +                       &
-             & (-2.3719627171699983E-09 +  tli * -1.5260127909292053E-07 +  (tli**2) * 1.7177017944754134E-09 +  &
-             & (tli**3) * -4.7031737537526395E-12)* LOG(rhoali)**(-2) +                                          &
-             & (-5.6946433724699646E-09 +  tli * 8.4629788237081735E-09 +  (tli**2) * -1.7674135187061521E-10 +  &
+             & (2.7885056884209128E-11 + tli *(-4.5167129624119121E-13) + (tli**2) * 1.6558404997394422E-15 +    &
+             & (tli**3) *(-1.2037336621218054E-18))* LOG(satratli)**(-1) * LOG(rhoali)**2 +                      &
+             & (-2.3719627171699983E-09 + tli *(-1.5260127909292053E-07) + (tli**2) * 1.7177017944754134E-09 +   &
+             & (tli**3) *(-4.7031737537526395E-12))* LOG(rhoali)**(-2) +                                         &
+             & (-5.6946433724699646E-09 + tli * 8.4629788237081735E-09 + (tli**2) *(-1.7674135187061521E-10) +   &
              & (tli**3) * 6.6236547903091862E-13)* LOG(rhoali)**(-1) +                                           &
-             & (-2.2808617930606012E-08 +  tli * 1.4773376696847775E-10 +  (tli**2) * -1.3076953119957355E-13 +  &
+             & (-2.2808617930606012E-08 + tli * 1.4773376696847775E-10 + (tli**2) *(-1.3076953119957355E-13) +   &
              & (tli**3) * 2.3625301497914000E-16)* LOG(rhoali) +                                                 &
-             & (1.4014269939947841E-10 +  tli * -2.3675117757377632E-12 +  (tli**2) * 5.1514033966707879E-15 +   &
-             & (tli**3) * -4.8864233454747856E-18)* LOG(rhoali)**2 +                                             &
-             & (6.5464943868885886E-11 +  tli * 1.6494354816942769E-08 +  (tli**2) * -1.7480097393483653E-10 +   &
+             & (1.4014269939947841E-10 + tli *(-2.3675117757377632E-12) + (tli**2) * 5.1514033966707879E-15 +    &
+             & (tli**3) *(-4.8864233454747856E-18))* LOG(rhoali)**2 +                                            &
+             & (6.5464943868885886E-11 + tli * 1.6494354816942769E-08 + (tli**2) *(-1.7480097393483653E-10) +    &
              & (tli**3) * 4.7460075628523984E-13)* LOG(satratli)* LOG(rhoali)**(-2) +                            &
-             & (8.4737893183927871E-09 +  tli * -6.0243327445597118E-09 +  (tli**2) * 5.8766070529814883E-11 +   &
-             & (tli**3) * -1.4926748560042018E-13)* LOG(satratli)* LOG(rhoali)**(-1) +                           &
-             & (1.0761964135701397E-07 +  tli * -1.0142496009071148E-09 +  (tli**2) * 2.1337312466519190E-12 +   &
+             & (8.4737893183927871E-09 + tli *(-6.0243327445597118E-09) + (tli**2) * 5.8766070529814883E-11 +    &
+             & (tli**3) *(-1.4926748560042018E-13))* LOG(satratli)* LOG(rhoali)**(-1) +                          &
+             & (1.0761964135701397E-07 + tli *(-1.0142496009071148E-09) + (tli**2) * 2.1337312466519190E-12 +    &
              & (tli**3) * 1.6376014957685404E-15)* LOG(satratli) +                                               &
-             & (-3.5621571395968670E-09 +  tli * 4.1175339587760905E-11 +  (tli**2) * -1.3535372357998504E-13 +  &
+             & (-3.5621571395968670E-09 + tli * 4.1175339587760905E-11 + (tli**2) *(-1.3535372357998504E-13) +   &
              & (tli**3) * 8.9334219536920720E-17)* LOG(satratli)* LOG(rhoali) +                                  &
-             & (2.0700482083136289E-11 +  tli * -3.9238944562717421E-13 +  (tli**2) * 1.5850961422040196E-15 +   &
-             & (tli**3) * -1.5336775610911665E-18)* LOG(satratli)* LOG(rhoali)**2 +                              &
-             & (1.8524255464416206E-09 +  tli * -2.1959816152743264E-11 +  (tli**2) * -6.4478119501677012E-14 +  &
+             & (2.0700482083136289E-11 + tli *(-3.9238944562717421E-13) + (tli**2) * 1.5850961422040196E-15 +    &
+             & (tli**3) *(-1.5336775610911665E-18))* LOG(satratli)* LOG(rhoali)**2 +                             &
+             & (1.8524255464416206E-09 + tli *(-2.1959816152743264E-11) + (tli**2) *(-6.4478119501677012E-14) +  &
              & (tli**3) * 5.5135243833766056E-16)* LOG(satratli)**2 * LOG(rhoali)**(-1) +                        &
-             & (1.9349488650922679E-09 +  tli * -2.2647295919976428E-11 +  (tli**2) * 9.2917479748268751E-14 +   &
-             & (tli**3) * -1.2741959892173170E-16)* LOG(satratli)**2 +                                           &
-             & (2.1484978031650972E-11 +  tli * -9.3976642475838013E-14 +  (tli**2) * -4.8892738002751923E-16 +  &
+             & (1.9349488650922679E-09 + tli *(-2.2647295919976428E-11) + (tli**2) * 9.2917479748268751E-14 +    &
+             & (tli**3) *(-1.2741959892173170E-16))* LOG(satratli)**2 +                                          &
+             & (2.1484978031650972E-11 + tli *(-9.3976642475838013E-14) + (tli**2) *(-4.8892738002751923E-16) +  &
              & (tli**3) * 1.4676120441783832E-18)* LOG(satratli)**2 * LOG(rhoali) +                              &
-             & (6.7565715216420310E-13 +  tli * -3.5421162549480807E-15 +  (tli**2) * -3.4201196868693569E-18 +  &
+             & (6.7565715216420310E-13 + tli *(-3.5421162549480807E-15) + (tli**2) *(-3.4201196868693569E-18) +  &
              & (tli**3) * 2.2260187650412392E-20)* LOG(satratli)**3 * LOG(rhoali)
                     
