
--------------------------------------------------------------------------------


Problem title: Task 4 - CASH System                                                    

Thermodynamic data base from: Holland & Powell '02 + Connolly & Kerric

Fluid equation of state: X(CO2) Holland & Powell 1991, 1998 (CORK)                   

Independently constrained potentials:

   T(K)     P(bar)   Y(CO2)  

Saturated phase components:

   H2O  

Saturated or buffered components:

   SIO2 

Components with unconstrained potentials:

   CAO     AL2O3

Phases and (projected) mol fraction AL2O3:

  lrn      0.000  gr       0.250  and      1.000  ky       1.000
  sill     1.000  tpz      1.000  zo       0.429  cz       0.429
  law      0.500  geh      0.333  rnk      0.000  cats     0.500
  wo       0.000  pswo     0.000  ma       0.667  prl      1.000
  kao      1.000  pre      0.333  an       0.500  wrk      0.500
  lmt      0.500  heu      0.500  stlb     0.500  lime     0.000
  cor      1.000  dsp      1.000  silL     1.000  anL      0.500
  al2o3    1.000  cao      0.000  coGL     1.000  woGL     0.000
  sil8L    1.000

Phases on saturation and buffering surfaces:

 q         trd       crst      coe       stv       qL        sio2    
 qGL       q8L     

--------------------------------------------------------------------------------


--------------------------------------------------------------------------------

the stable assemblages at:

                         T(K)     =  473.000    
                         P(bar)   =  1000.00    
                         Y(CO2)   =  0.00000    

are (variance flag in parentheses):

wo      -gr      (1)   gr      -pre     (1)   pre     -lmt     (1)
lmt     -kao     (1)

these assemblages are compatible with the following phases or species
determined by component saturation or buffering constraints:

 q       


--------------------------------------------------------------------------------

The T(K)    -P(bar)   loci of (pseudo-) univariant fields follow:

the fields are subject to the constraint(s):

                         Y(CO2)  = 0.00000    

These fields are consistent with saturation or buffering constraints
on the component(s):SIO2 

NOTE: For each field the values of the dependent  extensities are output
for the first equilibrium condition, in general these properties vary with
the independent potentials.


Reaction equations are written such that the high T(K)    
assemblage is on the right of the = sign


--------------------------------------------------------------------------------

 (     1-1)  1.00 gr 1.00 q 71.5 S(j/k) =  2.00 wo 1.00 an 3.23 -V(j/b)

  805.109      1000.00       811.887      1150.00       818.663      1300.00    
  825.437      1450.00       832.209      1600.00       838.978      1750.00    
  845.745      1900.00       852.510      2050.00       859.273      2200.00    
  866.034      2350.00       872.793      2500.00       879.551      2650.00    
  886.306      2800.00       893.060      2950.00       899.812      3100.00    
  906.562      3250.00       913.311      3400.00       920.060      3550.00    
  926.807      3700.00       933.554      3850.00       940.302      4000.00    
  947.054      4150.00       953.808      4300.00       960.558      4450.00    
  967.304      4600.00       974.046      4750.00       980.783      4900.00    
  987.517      5050.00       994.246      5200.00       1000.97      5350.00    
  1007.69      5500.00       1014.41      5650.00       1021.12      5800.00    
  1027.83      5950.00       1034.53      6100.00       1041.23      6250.00    
  1047.92      6400.00       1054.61      6550.00       1061.29      6700.00    
  1067.98      6850.00       1070.98      6917.39       1073.00      6962.89    

Network traced, resuming boundary search.

 (     2-1)  2.50 pre 0.159 -V(j/b) 72.2 S(j/k) =  1.00 gr 1.00 zo 1.50 q 2.00 H2O

  699.528      1000.00       699.004      1150.00       698.128      1300.00    
  696.944      1450.00       695.483      1600.00       693.760      1750.00    
  691.745      1900.00       689.508      2050.00       687.086      2200.00    
  684.413      2350.00       681.495      2500.00       678.337      2650.00    
  674.946      2800.00       669.937      2950.00       663.469      3100.00    
  657.309      3250.00       651.400      3400.00       645.692      3550.00    
  645.341      3559.38       645.216      3562.73    

the equilibrium extends to invariant point (     1)


                       ------
equilibria about invariant point (     1):

   gr pre zo cz 

are listed below:

 (     3-1)  2.50 pre 1.49 -V(j/b) 31.5 S(j/k) =  1.00 gr 1.00 cz 1.50 q 2.00 H2O

  645.216      3562.73       638.316      3712.73       631.700      3862.73    
  625.237      4012.73       618.848      4162.73       612.485      4312.73    
  606.112      4462.73       599.707      4612.73       593.252      4762.73    
  586.735      4912.73       580.145      5062.73       573.475      5212.73    
  570.108      5287.73       568.316      5327.45    

the equilibrium extends to invariant point (     2)


 (     4-1)  1.00 cz 0.289E-02 -V(j/b) 8.46 S(j/k) =  1.00 zo

  645.216      3562.73       645.164      3712.73       645.113      3862.73    
  645.060      4012.73       645.008      4162.73       644.955      4312.73    
  644.902      4462.73       644.849      4612.73       644.795      4762.73    
  644.741      4912.73       644.686      5062.73       644.631      5212.73    
  644.576      5362.73       644.521      5512.73       644.465      5662.73    
  644.408      5812.73       644.352      5962.73       644.295      6112.73    
  644.237      6262.73       644.180      6412.73       644.121      6562.73    
  644.063      6712.73       644.004      6862.73       643.950      7000.00    

 (     4-1)  1.00 cz 0.289E-02 -V(j/b) 8.46 S(j/k) =  1.00 zo

  645.216      3562.73       645.267      3412.73       645.318      3262.73    
  645.368      3112.73       645.419      2962.73       645.469      2812.73    
  645.518      2662.73       645.568      2512.73       645.617      2362.73    
  645.665      2212.73       645.714      2062.73       645.762      1912.73    
  645.810      1762.73       645.857      1612.73       645.905      1462.73    
  645.952      1312.73       645.998      1162.73       646.045      1012.73    
  646.049      1000.00    

                       ------
                       ------
equilibria about invariant point (     2):

   gr pre cz law 

are listed below:

 (     5-1)  1.00 gr 1.00 law 1.00 q 61.6 S(j/k) =  2.00 pre 3.06 -V(j/b)

  568.316      5327.45       560.860      5177.45       553.406      5027.45    
  545.953      4877.45       538.501      4727.45       531.050      4577.45    
  523.598      4427.45       516.146      4277.45       508.693      4127.45    
  501.239      3977.45       493.783      3827.45       486.324      3677.45    
  478.862      3527.45       477.397      3497.99       476.641      3482.81    

the equilibrium extends to invariant point (     3)


 (     6-1) 0.200 gr 1.00 law 94.5 S(j/k) = 0.800 cz 0.200 q 1.60 H2O 1.57 -V(j/b)

  568.316      5327.45       570.810      5477.45       573.298      5627.45    
  575.781      5777.45       578.260      5927.45       580.733      6077.45    
  583.203      6227.45       585.669      6377.45       588.131      6527.45    
  590.591      6677.45       593.047      6827.45       595.502      6977.45    
  595.871      7000.00    

 (     7-1) 0.500 pre 1.00 law 103. S(j/k) =  1.00 cz 0.500 q 2.00 H2O 1.20 -V(j/b)

  568.316      5327.45       566.556      5177.45       564.785      5027.45    
  563.002      4877.45       561.207      4727.45       559.399      4577.45    
  557.577      4427.45       555.742      4277.45       553.893      4127.45    
  552.029      3977.45       550.150      3827.45       548.255      3677.45    
  546.343      3527.45       544.415      3377.45       542.469      3227.45    
  541.980      3189.95       541.734      3171.20       541.612      3161.82    
  541.560      3157.90    

the equilibrium extends to invariant point (     4)


                       ------
                       ------
equilibria about invariant point (     3):

   gr pre law lmt 

are listed below:

 (     8-1)  1.00 gr 1.00 lmt 68.2 S(j/k) =  2.00 pre 1.00 q 2.00 H2O 1.05 -V(j/b)

  476.641      3482.81       474.317      3332.81       473.000      3248.66    

 (     9-1)  1.00 lmt 2.02 -V(j/b) 6.42 S(j/k) =  1.00 law 2.00 q 2.00 H2O

  476.641      3482.81       473.000      3493.91    

 (     9-1)  1.00 lmt 2.02 -V(j/b) 6.42 S(j/k) =  1.00 law 2.00 q 2.00 H2O

  476.641      3482.81       491.641      3427.96       506.641      3359.94    
  521.641      3280.26       536.641      3189.81       541.560      3157.90    

                       ------
                       ------
equilibria about invariant point (     4):

   pre cz law lmt 

are listed below:

 (    10-1) 0.500 pre 1.00 lmt 0.402 -V(j/b) 120. S(j/k) =  1.00 cz 2.50 q 4.00 H2O

  541.560      3157.90       542.032      3007.90       542.436      2857.90    
  542.769      2707.90       543.031      2557.90       543.218      2407.90    
  543.327      2257.90       543.355      2107.90       543.332      1957.90    
  543.332      1951.68    

the equilibrium extends to invariant point (     5)


 (     9-1)  1.00 lmt 1.81 -V(j/b) 12.0 S(j/k) =  1.00 law 2.00 q 2.00 H2O

  541.560      3157.90       516.669      3307.90       483.937      3457.90    
  476.641      3482.81    

 (     9-1)  1.00 lmt 1.81 -V(j/b) 12.0 S(j/k) =  1.00 law 2.00 q 2.00 H2O

  541.560      3157.90       562.770      3007.90       567.676      2970.40    
  570.270      2950.17    

the equilibrium extends to invariant point (     6)


                       ------
                       ------
equilibria about invariant point (     5):

   pre cz lmt wrk 

are listed below:

 (    11-1) 0.500 pre 1.00 wrk 2.67 -V(j/b) 42.5 S(j/k) =  1.00 cz 2.50 q 2.00 H2O

  543.332      1951.68       552.588      1801.68       561.481      1651.68    
  570.008      1501.68       578.158      1351.68       585.917      1201.68    
  593.261      1051.68       595.690      1000.00    

 (    12-1)  1.00 lmt 84.7 S(j/k) =  1.00 wrk 2.00 H2O 2.67 -V(j/b)

  543.332      1951.68       538.599      1801.68       533.863      1651.68    
  529.121      1501.68       524.371      1351.68       519.612      1201.68    
  514.841      1051.68       513.194      1000.00    

 (    12-1)  1.00 lmt 84.7 S(j/k) =  1.00 wrk 2.00 H2O 2.67 -V(j/b)

  543.332      1951.68       548.105      2101.68       552.891      2251.68    
  557.662      2401.68       562.421      2551.68       567.172      2701.68    
  569.545      2776.68       569.851      2786.36    

the equilibrium extends to invariant point (     7)


                       ------
                       ------
equilibria about invariant point (     6):

   cz law lmt ma 

are listed below:

 (    13-1)  5.00 law 475. S(j/k) =  2.00 cz 1.00 ma 2.00 q 8.00 H2O 9.71 -V(j/b)

  570.270      2950.17       573.327      3100.17       576.371      3250.17    
  579.404      3400.17       582.427      3550.17       585.440      3700.17    
  588.445      3850.17       591.443      4000.17       594.434      4150.17    
  597.419      4300.17       600.400      4450.17       603.378      4600.17    
  606.353      4750.17       609.327      4900.17       612.301      5050.17    
  615.277      5200.17       618.256      5350.17       621.241      5500.17    
  624.232      5650.17       627.233      5800.17       630.247      5950.17    
  633.275      6100.17       636.322      6250.17       639.392      6400.17    
  642.490      6550.17       644.096      6627.36    

the equilibrium extends to invariant point (     8)


 (    14-1)  5.00 lmt 542. S(j/k) =  2.00 cz 1.00 ma 12.0 q 18.0 H2O 1.26 -V(j/b)

  570.270      2950.17       569.889      2800.17       569.851      2786.36    

 (     9-1)  1.00 lmt 1.69 -V(j/b) 13.3 S(j/k) =  1.00 law 2.00 q 2.00 H2O

  570.270      2950.17       566.411      2980.17       561.469      3017.67    
  558.945      3036.42       558.308      3041.10       557.878      3044.25    

the equilibrium extends to invariant point (     9)


                       ------
                       ------
equilibria about invariant point (     7):

   cz lmt wrk ma 

are listed below:

 (    15-1)  5.00 wrk 11.5 -V(j/b) 133. S(j/k) =  2.00 cz 1.00 ma 12.0 q 8.00 H2O

  569.851      2786.36       582.653      2636.36       595.045      2486.36    
  607.129      2336.36       619.051      2186.36       631.069      2036.36    
  643.922      1886.36       645.776      1866.19    

the equilibrium extends to invariant point (    10)


 (    12-1)  1.00 lmt 82.7 S(j/k) =  1.00 wrk 2.00 H2O 2.61 -V(j/b)

  569.851      2786.36       565.104      2636.36       560.350      2486.36    
  555.586      2336.36       553.199      2261.36       552.004      2223.86    
  551.406      2205.11       551.107      2195.73       550.943      2190.59    

the equilibrium extends to invariant point (    11)


                       ------
                       ------
equilibria about invariant point (     8):

   cz law ma zo 

are listed below:

 (     4-1)  1.00 cz 0.306E-02 -V(j/b) 7.88 S(j/k) =  1.00 zo

  644.096      6627.36       644.038      6777.36       643.978      6927.36    
  643.950      7000.00    

 (     4-1)  1.00 cz 0.306E-02 -V(j/b) 7.88 S(j/k) =  1.00 zo

  644.096      6627.36       644.155      6477.36       644.213      6327.36    
  644.270      6177.36       644.327      6027.36       644.384      5877.36    
  644.440      5727.36       644.497      5577.36       644.552      5427.36    
  644.608      5277.36       644.663      5127.36       644.717      4977.36    
  644.772      4827.36       644.825      4677.36       644.879      4527.36    
  644.932      4377.36       644.985      4227.36       645.038      4077.36    
  645.090      3927.36       645.142      3777.36       645.194      3627.36    
  645.245      3477.36       645.296      3327.36       645.347      3177.36    
  645.397      3027.36       645.447      2877.36       645.497      2727.36    
  645.546      2577.36       645.595      2427.36       645.644      2277.36    
  645.693      2127.36       645.741      1977.36       645.776      1866.19    

 (    16-1)  2.50 law 209. S(j/k) = 0.500 ma 1.00 zo 1.00 q 4.00 H2O 4.20 -V(j/b)

  644.096      6627.36       647.123      6777.36       650.183      6927.36    
  651.678      7000.00    

                       ------
                       ------
equilibria about invariant point (     9):

   law ma lmt kao 

are listed below:

 (    17-1)  1.00 law 1.00 kao 193. S(j/k) =  1.00 ma 2.00 q 3.00 H2O 3.26 -V(j/b)

  557.878      3044.25       560.405      3194.25       562.914      3344.25    
  565.406      3494.25       567.882      3644.25       570.343      3794.25    
  572.790      3944.25       575.222      4094.25       577.641      4244.25    
  580.047      4394.25       580.197      4403.63       580.258      4407.43    

the equilibrium extends to invariant point (    12)


 (     9-1)  1.00 lmt 1.75 -V(j/b) 12.8 S(j/k) =  1.00 law 2.00 q 2.00 H2O

  557.878      3044.25       535.943      3194.25       509.769      3344.25    
  494.769      3414.81       479.769      3472.56       473.000      3493.91    

 (    18-1)  1.00 lmt 1.00 kao 206. S(j/k) =  1.00 ma 4.00 q 5.00 H2O 1.52 -V(j/b)

  557.878      3044.25       556.755      2894.25       555.593      2744.25    
  554.391      2594.25       553.147      2444.25       551.860      2294.25    
  550.943      2190.59    

                       ------
                       ------
equilibria about invariant point (    10):

   cz wrk ma zo 

are listed below:

 (     4-1)  1.00 cz 0.280E-02 -V(j/b) 8.77 S(j/k) =  1.00 zo

  645.776      1866.19       645.825      1716.19       645.872      1566.19    
  645.919      1416.19       645.966      1266.19       646.013      1116.19    
  646.049      1000.00    

 (     4-1)  1.00 cz 0.280E-02 -V(j/b) 8.77 S(j/k) =  1.00 zo

  645.776      1866.19       645.729      2016.19       645.680      2166.19    
  645.632      2316.19       645.583      2466.19       645.534      2616.19    
  645.484      2766.19       645.434      2916.19       645.384      3066.19    
  645.334      3216.19       645.283      3366.19       645.232      3516.19    
  645.180      3666.19       645.129      3816.19       645.077      3966.19    
  645.024      4116.19       644.972      4266.19       644.919      4416.19    
  644.865      4566.19       644.812      4716.19       644.758      4866.19    
  644.703      5016.19       644.648      5166.19       644.593      5316.19    
  644.538      5466.19       644.482      5616.19       644.426      5766.19    
  644.369      5916.19       644.312      6066.19       644.255      6216.19    
  644.198      6366.19       644.140      6516.19       644.096      6627.36    

 (    19-1)  2.50 wrk 4.77 -V(j/b) 60.0 S(j/k) = 0.500 ma 1.00 zo 6.00 q 4.00 H2O

  645.776      1866.19       648.187      1836.19       648.952      1826.81    
  649.337      1822.13       649.559      1819.43    

the equilibrium extends to invariant point (    13)


                       ------
                       ------
equilibria about invariant point (    11):

   lmt ma wrk kao 

are listed below:

 (    12-1)  1.00 lmt 84.2 S(j/k) =  1.00 wrk 2.00 H2O 2.68 -V(j/b)

  550.943      2190.59       546.153      2040.59       541.405      1890.59    
  536.671      1740.59       531.932      1590.59       527.188      1440.59    
  522.434      1290.59       517.671      1140.59       513.194      1000.00    

 (    20-1)  1.00 wrk 1.00 kao 0.794 -V(j/b) 127. S(j/k) =  1.00 ma 4.00 q 3.00 H2O

  550.943      2190.59       551.844      2040.59       552.726      1890.59    
  553.559      1740.59       554.324      1590.59       555.015      1440.59    
  555.630      1290.59       556.162      1140.59       556.579      1000.00    

                       ------
                       ------
equilibria about invariant point (    12):

   law ma kao prl 

are listed below:

 (    21-1)  1.00 law 1.00 prl 136. S(j/k) =  1.00 ma 4.00 q 2.00 H2O 2.86 -V(j/b)

  580.258      4407.43       583.404      4557.43       586.544      4707.43    
  589.679      4857.43       592.809      5007.43       595.935      5157.43    
  599.058      5307.43       602.178      5457.43       605.297      5607.43    
  608.416      5757.43       611.535      5907.43       614.656      6057.43    
  617.780      6207.43       620.909      6357.43       624.045      6507.43    
  627.189      6657.43       630.344      6807.43       633.512      6957.43    
  634.414      7000.00    

 (    22-1)  1.00 kao 2.00 q 54.1 S(j/k) =  1.00 prl 1.00 H2O 0.183 -V(j/b)

  580.258      4407.43       580.753      4557.43       581.224      4707.43    
  581.672      4857.43       582.099      5007.43       582.504      5157.43    
  582.887      5307.43       583.250      5457.43       583.593      5607.43    
  583.916      5757.43       584.220      5907.43       584.505      6057.43    
  584.771      6207.43       585.019      6357.43       585.249      6507.43    
  585.462      6657.43       585.657      6807.43       585.835      6957.43    
  585.882      7000.00    

 (    22-1)  1.00 kao 2.00 q 54.1 S(j/k) =  1.00 prl 1.00 H2O 0.183 -V(j/b)

  580.258      4407.43       579.740      4257.43       579.197      4107.43    
  578.628      3957.43       578.034      3807.43       577.412      3657.43    
  576.762      3507.43       576.084      3357.43       575.375      3207.43    
  574.636      3057.43       573.863      2907.43       573.057      2757.43    
  572.215      2607.43       571.336      2457.43       570.417      2307.43    
  569.457      2157.43       568.455      2007.43       567.463      1857.43    
  566.436      1707.43       565.372      1557.43       564.266      1407.43    
  563.116      1257.43       561.917      1107.43       561.026      1000.00    

                       ------
                       ------
equilibria about invariant point (    13):

   wrk ma zo an 

are listed below:

 (    23-1)  1.00 wrk 69.0 S(j/k) =  1.00 an 2.00 q 2.00 H2O 0.109 -V(j/b)

  649.559      1819.43       649.263      1669.43       648.841      1519.43    
  648.284      1369.43       647.579      1219.43       646.713      1069.43    
  646.252      1000.00    

 (    23-1)  1.00 wrk 69.0 S(j/k) =  1.00 an 2.00 q 2.00 H2O 0.109 -V(j/b)

  649.559      1819.43       649.263      1669.43       648.841      1519.43    
  648.284      1369.43       647.579      1219.43       646.713      1069.43    
  646.252      1000.00    

 (    24-1) 0.200 ma 0.400 zo 0.400 q 46.3 S(j/k) =  1.00 an 0.400 H2O 1.99 -V(j/b)

  649.559      1819.43       656.045      1969.43       662.635      2119.43    
  669.316      2269.43       675.753      2419.43       681.795      2569.43    
  687.806      2719.43       693.776      2869.43       699.676      3019.43    
  705.567      3169.43       711.451      3319.43       717.328      3469.43    
  723.200      3619.43       729.066      3769.43       734.926      3919.43    
  740.781      4069.43       746.631      4219.43       752.477      4369.43    
  758.318      4519.43       764.154      4669.43       769.987      4819.43    
  775.815      4969.43       781.640      5119.43       787.461      5269.43    
  793.278      5419.43       799.093      5569.43       804.903      5719.43    
  810.711      5869.43       816.516      6019.43       822.318      6169.43    
  828.117      6319.43       833.913      6469.43       839.707      6619.43    
  845.499      6769.43       851.288      6919.43       854.396      7000.00    

                       ------
Network traced, resuming boundary search.

 (    25-1) 0.800 zo 0.200 q 46.4 S(j/k) = 0.200 gr 1.00 an 0.400 H2O 2.29 -V(j/b)

  708.739      1000.00       716.120      1150.00       723.470      1300.00    
  730.795      1450.00       738.099      1600.00       745.384      1750.00    
  752.653      1900.00       759.916      2050.00       767.182      2200.00    
  774.430      2350.00       781.664      2500.00       788.884      2650.00    
  796.090      2800.00       803.286      2950.00       810.471      3100.00    
  817.646      3250.00       824.812      3400.00       831.970      3550.00    
  839.120      3700.00       846.263      3850.00       853.400      4000.00    
  860.531      4150.00       867.656      4300.00       874.776      4450.00    
  881.892      4600.00       889.004      4750.00       896.111      4900.00    
  903.215      5050.00       910.316      5200.00       917.414      5350.00    
  924.510      5500.00       931.603      5650.00       938.695      5800.00    
  945.785      5950.00       952.873      6100.00       959.960      6250.00    
  967.047      6400.00       974.133      6550.00       981.218      6700.00    
  988.304      6850.00       995.389      7000.00    

Network traced, resuming boundary search.

 (    26-1)  1.00 ma 1.00 q 83.4 S(j/k) =  1.00 an 1.00 and 1.00 H2O 2.77 -V(j/b)

  722.558      1000.00       727.496      1150.00       732.350      1300.00    
  737.135      1450.00       741.864      1600.00       746.543      1750.00    
  751.181      1900.00       755.792      2050.00       760.392      2200.00    
  764.954      2350.00       769.483      2500.00       773.980      2650.00    
  778.448      2800.00       782.891      2950.00       787.308      3100.00    
  791.703      3250.00       796.077      3400.00       798.256      3475.00    
  799.344      3512.50       799.888      3531.25       800.043      3536.61    

the equilibrium extends to invariant point (    14)


                       ------
equilibria about invariant point (    14):

   ma an and sill 

are listed below:

 (    27-1)  1.00 ma 1.00 q 78.3 S(j/k) =  1.00 an 1.00 sill 1.00 H2O 2.00 -V(j/b)

  800.043      3536.61       803.867      3686.61       807.670      3836.61    
  811.452      3986.61       815.215      4136.61       818.960      4286.61    
  822.686      4436.61       826.396      4586.61       830.089      4736.61    
  833.767      4886.61       837.429      5036.61       838.342      5074.11    
  838.799      5092.86       839.027      5102.24       839.101      5105.30    

the equilibrium extends to invariant point (    15)


 (    28-1)  1.00 and 0.185 -V(j/b) 2.82 S(j/k) =  1.00 sill

  800.043      3536.61       790.272      3686.61       780.577      3836.61    
  780.276      3841.30       780.091      3844.17    

the equilibrium extends to invariant point (    16)


 (    28-1)  1.00 and 0.185 -V(j/b) 2.82 S(j/k) =  1.00 sill

  800.043      3536.61       809.891      3386.61       819.816      3236.61    
  829.818      3086.61       839.898      2936.61       850.055      2786.61    
  860.291      2636.61       870.604      2486.61       880.996      2336.61    
  891.466      2186.61       902.014      2036.61       912.641      1886.61    
  923.347      1736.61       934.131      1586.61       944.993      1436.61    
  955.933      1286.61       966.951      1136.61       977.054      1000.00    

                       ------
                       ------
equilibria about invariant point (    15):

   ma an sill ky 

are listed below:

 (    29-1)  1.00 ma 1.00 q 63.8 S(j/k) =  1.00 an 1.00 ky 1.00 H2O 1.29 -V(j/b)

  839.101      5105.30       842.114      5255.30       845.107      5405.30    
  848.081      5555.30       851.038      5705.30       853.976      5855.30    
  856.897      6005.30       859.802      6155.30       862.690      6305.30    
  865.563      6455.30       868.420      6605.30       871.262      6755.30    
  874.090      6905.30       875.868      7000.00    

 (    30-1)  1.00 ky 11.9 S(j/k) =  1.00 sill 0.556 -V(j/b)

  839.101      5105.30       832.100      4955.30       825.095      4805.30    
  818.084      4655.30       811.068      4505.30       804.048      4355.30    
  797.023      4205.30       789.993      4055.30       782.959      3905.30    
  780.091      3844.17    

 (    30-1)  1.00 ky 11.9 S(j/k) =  1.00 sill 0.556 -V(j/b)

  839.101      5105.30       846.097      5255.30       853.087      5405.30    
  860.072      5555.30       867.051      5705.30       874.025      5855.30    
  880.993      6005.30       887.955      6155.30       894.911      6305.30    
  901.861      6455.30       908.804      6605.30       915.742      6755.30    
  922.673      6905.30       927.046      7000.00    

                       ------
                       ------
equilibria about invariant point (    16):

   ma and sill ky 

are listed below:

 (    31-1)  1.00 ky 9.09 S(j/k) =  1.00 and 0.743 -V(j/b)

  780.091      3844.17       767.831      3694.17       755.590      3544.17    
  743.367      3394.17       731.163      3244.17       718.977      3094.17    
  706.809      2944.17       694.659      2794.17       682.527      2644.17    
  670.413      2494.17       658.316      2344.17       655.294      2306.67    
  654.539      2297.29       654.290      2294.21    

the equilibrium extends to invariant point (    17)


 (    30-1)  1.00 ky 11.9 S(j/k) =  1.00 sill 0.560 -V(j/b)

  780.091      3844.17       787.127      3994.17       794.158      4144.17    
  801.185      4294.17       808.208      4444.17       815.225      4594.17    
  822.238      4744.17       829.246      4894.17       836.249      5044.17    
  839.101      5105.30    

                       ------
                       ------
equilibria about invariant point (    17):

   ma and ky prl 

are listed below:

 (    32-1)  1.00 prl 62.0 S(j/k) =  1.00 and 3.00 q 1.00 H2O 1.34 -V(j/b)

  654.290      2294.21       651.056      2144.21       647.826      1994.21    
  644.643      1844.21       641.461      1694.21       638.275      1544.21    
  635.076      1394.21       631.858      1244.21       628.613      1094.21    
  626.557      1000.00    

 (    33-1)  1.00 prl 52.8 S(j/k) =  1.00 ky 3.00 q 1.00 H2O 0.596 -V(j/b)

  654.290      2294.21       655.963      2444.21       657.596      2594.21    
  659.192      2744.21       660.754      2894.21       662.284      3044.21    
  663.783      3194.21       665.253      3344.21       666.695      3494.21    
  668.111      3644.21       669.501      3794.21       670.867      3944.21    
  672.209      4094.21       673.421      4244.21       674.450      4394.21    
  675.456      4544.21       676.439      4694.21       677.400      4844.21    
  678.339      4994.21       679.258      5144.21       680.156      5294.21    
  681.035      5444.21       681.895      5594.21       682.737      5744.21    
  683.561      5894.21       684.368      6044.21       685.157      6194.21    
  685.931      6344.21       686.688      6494.21       687.430      6644.21    
  688.157      6794.21       688.868      6944.21       689.130      7000.00    

                       ------
Network traced, resuming boundary search.

 (    33-1)  1.00 prl 56.7 S(j/k) =  1.00 ky 3.00 q 1.00 H2O 0.264 -V(j/b)

  689.130      7000.00       688.423      6850.00       687.702      6700.00    
  686.966      6550.00       686.214      6400.00       685.447      6250.00    
  684.663      6100.00       683.863      5950.00       683.046      5800.00    
  682.210      5650.00       681.357      5500.00       680.485      5350.00    
  679.594      5200.00       678.683      5050.00       677.752      4900.00    
  676.799      4750.00       675.824      4600.00       674.827      4450.00    
  673.807      4300.00       672.702      4150.00       671.369      4000.00    
  670.012      3850.00       668.631      3700.00       667.225      3550.00    
  665.793      3400.00       664.333      3250.00       662.845      3100.00    
  661.327      2950.00       659.777      2800.00       658.194      2650.00    
  656.575      2500.00       654.917      2350.00       654.290      2294.21    

Network traced, resuming boundary search.


--------------------------------------------------------------------------------

(pseudo-) invariant points are summarized below:

 (     1-1) gr pre zo cz 
               occurs at:
                         T(K)    = 645.216    
                         P(bar)  = 3562.73    
                         Y(CO2)  = 0.00000    

 (     2-1) gr pre cz law 
               occurs at:
                         T(K)    = 568.316    
                         P(bar)  = 5327.45    
                         Y(CO2)  = 0.00000    

 (     3-1) gr pre law lmt 
               occurs at:
                         T(K)    = 476.641    
                         P(bar)  = 3482.81    
                         Y(CO2)  = 0.00000    

 (     4-1) pre cz law lmt 
               occurs at:
                         T(K)    = 541.560    
                         P(bar)  = 3157.90    
                         Y(CO2)  = 0.00000    

 (     5-1) pre cz lmt wrk 
               occurs at:
                         T(K)    = 543.332    
                         P(bar)  = 1951.68    
                         Y(CO2)  = 0.00000    

 (     6-1) cz law lmt ma 
               occurs at:
                         T(K)    = 570.270    
                         P(bar)  = 2950.17    
                         Y(CO2)  = 0.00000    

 (     7-1) cz lmt wrk ma 
               occurs at:
                         T(K)    = 569.851    
                         P(bar)  = 2786.36    
                         Y(CO2)  = 0.00000    

 (     8-1) cz law ma zo 
               occurs at:
                         T(K)    = 644.096    
                         P(bar)  = 6627.36    
                         Y(CO2)  = 0.00000    

 (     9-1) law ma lmt kao 
               occurs at:
                         T(K)    = 557.878    
                         P(bar)  = 3044.25    
                         Y(CO2)  = 0.00000    

 (    10-1) cz wrk ma zo 
               occurs at:
                         T(K)    = 645.776    
                         P(bar)  = 1866.19    
                         Y(CO2)  = 0.00000    

 (    11-1) lmt ma wrk kao 
               occurs at:
                         T(K)    = 550.943    
                         P(bar)  = 2190.59    
                         Y(CO2)  = 0.00000    

 (    12-1) law ma kao prl 
               occurs at:
                         T(K)    = 580.258    
                         P(bar)  = 4407.43    
                         Y(CO2)  = 0.00000    

 (    13-1) wrk ma zo an 
               occurs at:
                         T(K)    = 649.559    
                         P(bar)  = 1819.43    
                         Y(CO2)  = 0.00000    

 (    14-1) ma an and sill 
               occurs at:
                         T(K)    = 800.043    
                         P(bar)  = 3536.61    
                         Y(CO2)  = 0.00000    

 (    15-1) ma an sill ky 
               occurs at:
                         T(K)    = 839.101    
                         P(bar)  = 5105.30    
                         Y(CO2)  = 0.00000    

 (    16-1) ma and sill ky 
               occurs at:
                         T(K)    = 780.091    
                         P(bar)  = 3844.17    
                         Y(CO2)  = 0.00000    

 (    17-1) ma and ky prl 
               occurs at:
                         T(K)    = 654.290    
                         P(bar)  = 2294.21    
                         Y(CO2)  = 0.00000    

--------------------------------------------------------------------------------

(pseudo-) invariant points are summarized below:

 (     1-1) gr       pre      zo       cz      
 (     2-1) gr       pre      cz       law     
 (     3-1) gr       pre      law      lmt     
 (     4-1) pre      cz       law      lmt     
 (     5-1) pre      cz       lmt      wrk     
 (     6-1) cz       law      lmt      ma      
 (     7-1) cz       lmt      wrk      ma      
 (     8-1) cz       law      ma       zo      
 (     9-1) law      ma       lmt      kao     
 (    10-1) cz       wrk      ma       zo      
 (    11-1) lmt      ma       wrk      kao     
 (    12-1) law      ma       kao      prl     
 (    13-1) wrk      ma       zo       an      
 (    14-1) ma       an       and      sill    
 (    15-1) ma       an       sill     ky      
 (    16-1) ma       and      sill     ky      
 (    17-1) ma       and      ky       prl     


--------------------------------------------------------------------------------


(pseudo-) univariant equilibria are summarized below:

 (     1-1)  1.00 gr 1.00 q 71.5 S(j/k) =  2.00 wo 1.00 an 3.23 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    
 (     2-1)  2.50 pre 0.159 -V(j/b) 72.2 S(j/k) =  1.00 gr 1.00 zo 1.50 q 2.00 H2O                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
 (     3-1)  2.50 pre 1.49 -V(j/b) 31.5 S(j/k) =  1.00 gr 1.00 cz 1.50 q 2.00 H2O                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
 (     4-1)  1.00 cz 0.280E-02 -V(j/b) 8.77 S(j/k) =  1.00 zo                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
 (     5-1)  1.00 gr 1.00 law 1.00 q 61.6 S(j/k) =  2.00 pre 3.06 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  
 (     6-1) 0.200 gr 1.00 law 94.5 S(j/k) = 0.800 cz 0.200 q 1.60 H2O 1.57 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
 (     7-1) 0.500 pre 1.00 law 103. S(j/k) =  1.00 cz 0.500 q 2.00 H2O 1.20 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
 (     8-1)  1.00 gr 1.00 lmt 68.2 S(j/k) =  2.00 pre 1.00 q 2.00 H2O 1.05 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
 (     9-1)  1.00 lmt 1.75 -V(j/b) 12.8 S(j/k) =  1.00 law 2.00 q 2.00 H2O                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 
 (    10-1) 0.500 pre 1.00 lmt 0.402 -V(j/b) 120. S(j/k) =  1.00 cz 2.50 q 4.00 H2O                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
 (    11-1) 0.500 pre 1.00 wrk 2.67 -V(j/b) 42.5 S(j/k) =  1.00 cz 2.50 q 2.00 H2O                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
 (    12-1)  1.00 lmt 84.2 S(j/k) =  1.00 wrk 2.00 H2O 2.68 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
 (    13-1)  5.00 law 475. S(j/k) =  2.00 cz 1.00 ma 2.00 q 8.00 H2O 9.71 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
 (    14-1)  5.00 lmt 542. S(j/k) =  2.00 cz 1.00 ma 12.0 q 18.0 H2O 1.26 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
 (    15-1)  5.00 wrk 11.5 -V(j/b) 133. S(j/k) =  2.00 cz 1.00 ma 12.0 q 8.00 H2O                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
 (    16-1)  2.50 law 209. S(j/k) = 0.500 ma 1.00 zo 1.00 q 4.00 H2O 4.20 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
 (    17-1)  1.00 law 1.00 kao 193. S(j/k) =  1.00 ma 2.00 q 3.00 H2O 3.26 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
 (    18-1)  1.00 lmt 1.00 kao 206. S(j/k) =  1.00 ma 4.00 q 5.00 H2O 1.52 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
 (    19-1)  2.50 wrk 4.77 -V(j/b) 60.0 S(j/k) = 0.500 ma 1.00 zo 6.00 q 4.00 H2O                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
 (    20-1)  1.00 wrk 1.00 kao 0.794 -V(j/b) 127. S(j/k) =  1.00 ma 4.00 q 3.00 H2O                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
 (    21-1)  1.00 law 1.00 prl 136. S(j/k) =  1.00 ma 4.00 q 2.00 H2O 2.86 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
 (    22-1)  1.00 kao 2.00 q 54.1 S(j/k) =  1.00 prl 1.00 H2O 0.183 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
 (    23-1)  1.00 wrk 69.0 S(j/k) =  1.00 an 2.00 q 2.00 H2O 0.109 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 
 (    24-1) 0.200 ma 0.400 zo 0.400 q 46.3 S(j/k) =  1.00 an 0.400 H2O 1.99 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
 (    25-1) 0.800 zo 0.200 q 46.4 S(j/k) = 0.200 gr 1.00 an 0.400 H2O 2.29 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
 (    26-1)  1.00 ma 1.00 q 83.4 S(j/k) =  1.00 an 1.00 and 1.00 H2O 2.77 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                          
 (    27-1)  1.00 ma 1.00 q 78.3 S(j/k) =  1.00 an 1.00 sill 1.00 H2O 2.00 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                         
 (    28-1)  1.00 and 0.185 -V(j/b) 2.82 S(j/k) =  1.00 sill                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               
 (    29-1)  1.00 ma 1.00 q 63.8 S(j/k) =  1.00 an 1.00 ky 1.00 H2O 1.29 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
 (    30-1)  1.00 ky 11.9 S(j/k) =  1.00 sill 0.560 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                
 (    31-1)  1.00 ky 9.09 S(j/k) =  1.00 and 0.743 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 
 (    32-1)  1.00 prl 62.0 S(j/k) =  1.00 and 3.00 q 1.00 H2O 1.34 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 
 (    33-1)  1.00 prl 56.7 S(j/k) =  1.00 ky 3.00 q 1.00 H2O 0.264 -V(j/b)                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 


--------------------------------------------------------------------------------


