
===========================================================

g ep mu pa bi q H2O sph  {12.8592, 473.608}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.91133   0.32559   0.03963   0.00681
ep        f(ep)     Q(ep)
        0.03982   0.03875
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.36389   0.77123   0.00064   0.09823   0.00258
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.36389   0.99762   0.00006   0.95235   0.02036
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50163   0.00058   0.03263   0.00252   0.05196   0.18130

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05628   0.57850   0.03963   0.32559   0.99319   0.00681
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00107   0.99893   0.07857   0.92143
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.89919   0.09823   0.00258   0.14553   0.08325   0.77123   0.99936   0.00064   0.61310   0.38690
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.02729   0.95235   0.02036   0.00151   0.00086   0.99762   0.99994   0.00006   0.49101   0.50899
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.33438   0.00058   0.57793   0.00252   0.05196   0.03263   0.55822   0.00058   0.44120   0.48243   0.51757   0.94804   0.05196

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993186    0.976761    0.168849    1.749116           0           0           0    0.118903    0.006814
ep        0.500000           3    1.460179           2           0    0.079641           0           0           0           0    0.039821
mu               1    3.226194    1.272198    0.002580    0.145526    0.083884    0.449596    0.049114           0           0    0.000318
pa        1.000000    2.982013    1.507775    0.020363    0.001511    0.000926    0.013646    0.476173           0           0    0.000031
bi        0.948041    2.964853    0.533887           0    1.450831    1.462852    0.500000           0    0.051959    0.001732    0.001260
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02616299              0.09226069  0.13404816  0.10167156  0.19380544  0.44521323  0.00683792

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13958649  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -5968.5255  -5435.0021      0.7145    11.90594     4.00896
ep            -7009.9092  -6490.5758      0.6955    13.67417     3.33948
mu            -6047.4656  -5543.3463      0.6751    13.92108     2.86613
pa            -6077.3512  -5593.6209      0.6478    13.16944     2.90806
bi            -5889.8609  -5298.8872      0.7914    15.06815     3.08339
q              -925.2445   -855.7440      0.0931     2.24440     2.67688
H2O            -329.9079   -239.1184      0.1216     1.68511     1.06907
sph           -2661.0749  -2453.0603      0.2786     5.54327     3.53654

sys           -646.50522  -564.33153     0.11004     1.92729     2.17288

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000175872     4.65247 0.000818237    0.049469   -6428.13949994    -44.13469556    -6428.1395    -44.1347
      alm        0.190968     1.14063    0.217824     0.57850   -5462.49958681     -9.46269418    -5462.4996     -9.4627
      spss     6.14152e-5    0.999235  6.13682e-5    0.039634   -5885.31660877    -60.21722068    -5885.3166    -60.2172
      gr        0.0340457     1.27661   0.0434630     0.32559   -6763.63409987    -19.46997853    -6763.6341    -19.4700
      kho      8.27922e-9     1.81930  1.50624e-8   0.0068144   -5568.33865347   -111.82792055    -5568.3387   -111.8279

ep    cz         0.920443     1.00101    0.921371     0.92143   -7040.94298721      0.50845862    -7040.9430     -0.5085
      ep        0.0784877     1.14635   0.0899744    0.077502   -6630.44541048    -14.95232523    -6630.4454    -14.9523
      fep      8.40451e-5     1.56158 0.000131243   0.0010697   -6193.84654255    -55.49751190    -6193.8465    -55.4975

mu    mu         0.657581    0.952724    0.626493     0.66978   -6105.11700096     -2.90336286    -6105.1170     -2.9034
      cel       0.0491558     1.69368   0.0832543     0.14553   -5963.31696807    -15.43429111    -5963.3170    -15.4343
      fcel      0.0281198     1.69368   0.0476260    0.083249   -5626.41196940    -18.90206287    -5626.4120    -18.9021
      pa        0.0718345     13.3246    0.957163    0.098228   -6070.49678712      0.27183014    -6070.4968     -0.2718
      mat     0.000297654     289.958   0.0863071   0.0025799   -6359.34463720    -15.21069705    -6359.3446    -15.2107
      fmu     0.000417933     1.00905 0.000421714  0.00063516   -5663.71657772    -48.25006812    -5663.7166    -48.2501

pa    mu        0.0272161     23.0175    0.626447    0.024854   -6105.11700096     -2.90381827    -6105.1170     -2.9038
      cel      9.94190e-6     8372.17   0.0832353   0.0015111   -5963.31696807    -15.43570516    -5963.3170    -15.4357
      fcel     5.68731e-6     8372.17   0.0476151  0.00086444   -5626.41196940    -18.90347693    -5626.4120    -18.9035
      pa         0.949717     1.00790    0.957225     0.95235   -6070.49678712      0.27143368    -6070.4968     -0.2714
      mat      0.00526267     16.4011   0.0863137    0.020363   -6359.34463720    -15.21021929    -6359.3446    -15.2102
      fmu      1.67474e-6     251.772 0.000421652   6.1531e-5   -5663.71657772    -48.25098559    -5663.7166    -48.2510

bi    phl       0.0935360     1.73808    0.162573     0.33438   -6363.24107754    -11.27915218    -6363.2411    -11.2792
      annm       0.100987     1.61521    0.163114     0.44120   -5362.95000494    -11.25853185    -5362.9500    -11.2585
      obi        0.161663     1.38937    0.224609     0.13673   -6031.81072000     -9.27224556    -6031.8107     -9.2722
      east     0.00244785     4.05210  0.00991893    0.032627   -6475.14624921    -28.64332672    -6475.1462    -28.6433
      tbi      4.36588e-5     52.0157  0.00227095    0.051959   -6318.02309605    -37.79670956    -6318.0231    -37.7967
      fbi     0.000189125     3.20891 0.000606885   0.0025208   -6061.74582598    -45.98997848    -6061.7458    -45.9900
      mmbi    1.72608e-10     2.09410 3.61457e-10  0.00057718   -5712.79440895   -134.98574149    -5712.7944   -134.9857

q                                                               -925.2445
H2O                                                             -329.9079
sph                                                            -2661.0749

===========================================================

g ep mu pa bi q H2O sph  {12.8264, 476.520}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.91052   0.32741   0.03973   0.00681
ep        f(ep)     Q(ep)
        0.03903   0.03797
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.36550   0.77259   0.00063   0.09986   0.00265
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.36550   0.99756   0.00006   0.95151   0.02068
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50210   0.00059   0.03338   0.00253   0.05284   0.18038

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05663   0.57624   0.03973   0.32741   0.99319   0.00681
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00106   0.99894   0.07699   0.92301
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.89749   0.09986   0.00265   0.14429   0.08312   0.77259   0.99937   0.00063   0.61238   0.38762
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.02781   0.95151   0.02068   0.00155   0.00089   0.99756   0.99994   0.00006   0.49088   0.50912
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.33377   0.00059   0.57690   0.00253   0.05284   0.03338   0.55744   0.00059   0.44197   0.48204   0.51796   0.94716   0.05284

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993190    0.982229    0.169881    1.742327           0           0           0    0.119184    0.006810
ep        0.500000           3    1.460973           2           0    0.078054           0           0           0           0    0.039027
mu               1    3.224758    1.273598    0.002654    0.144294    0.083752    0.448743    0.049930           0           0    0.000317
pa        1.000000    2.981751    1.507875    0.020685    0.001546    0.000953    0.013903    0.475754           0           0    0.000031
bi        0.947165    2.964088    0.534646           0    1.448641    1.463370    0.500000           0    0.052835    0.001775    0.001266
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02606436              0.09210224  0.13402463  0.10190435  0.19388352  0.44522017  0.00680074

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13959766  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -5973.7795  -5436.8937      0.7162    11.90890     4.00696
ep            -7013.0135  -6490.2679      0.6973    13.67521     3.33889
mu            -6050.0689  -5542.5930      0.6769    13.92221     2.86569
pa            -6079.7718  -5592.7145      0.6497    13.17248     2.90750
bi            -5892.5629  -5297.7526      0.7934    15.07035     3.08319
q              -925.5894   -855.6166      0.0933     2.24487     2.67633
H2O            -330.3176   -238.9766      0.1218     1.68790     1.06730
sph           -2662.0687  -2452.6838      0.2793     5.54373     3.53625

sys           -646.88920  -564.18887     0.11032     1.92883     2.17114

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000179116     4.64540 0.000832065    0.049816   -6430.37272065    -44.20235761    -6430.3727    -44.2024
      alm        0.188740     1.14093    0.215340     0.57624   -5464.99881846     -9.57110153    -5464.9988     -9.5711
      spss     6.18515e-5    0.998400  6.17526e-5    0.039728   -5887.78538302    -60.41313543    -5887.7854    -60.4131
      gr        0.0346210     1.27320   0.0440794     0.32741   -6765.87496449    -19.45812519    -6765.8750    -19.4581
      kho      8.42215e-9     1.79593  1.51256e-8   0.0068105   -5570.81615529   -112.23792153    -5570.8162   -112.2379

ep    cz         0.922028     1.00096    0.922918     0.92301   -7043.40401796      0.49998709    -7043.4040     -0.5000
      ep        0.0769124     1.14628   0.0881630    0.075934   -6633.00620178    -15.13740411    -6633.0062    -15.1374
      fep      8.15842e-5     1.56001 0.000127272   0.0010596   -6196.47778157    -55.90545387    -6196.4778    -55.9055

mu    mu         0.657943    0.952090    0.626421     0.66944   -6107.50638173     -2.91540520    -6107.5064     -2.9154
      cel       0.0485334     1.70017   0.0825153     0.14429   -5965.70270489    -15.55005455    -5965.7027    -15.5501
      fcel      0.0279571     1.70017   0.0475320    0.083119   -5628.92969123    -18.98809328    -5628.9297    -18.9881
      pa        0.0732061     13.0657    0.956492    0.099859   -6072.80886320      0.27726283    -6072.8089     -0.2773
      mat     0.000307903     280.740   0.0864410   0.0026542   -6361.62616269    -15.26035664    -6361.6262    -15.2604
      fmu     0.000417182     1.01167 0.000422049  0.00063367   -5666.22809905    -48.43328152    -5666.2281    -48.4333

pa    mu        0.0277282     22.5898    0.626375    0.025308   -6107.50638173     -2.91585780    -6107.5064     -2.9159
      cel      1.03567e-5     7965.52   0.0824967   0.0015458   -5965.70270489    -15.55145968    -5965.7027    -15.5515
      fcel     5.96587e-6     7965.52   0.0475213  0.00089044   -5628.92969123    -18.98949840    -5628.9297    -18.9895
      pa         0.948815     1.00816    0.956553     0.95151   -6072.80886320      0.27686964    -6072.8089     -0.2769
      mat      0.00534827     16.1636   0.0864475    0.020685   -6361.62616269    -15.25988173    -6361.6262    -15.2599
      fmu      1.72924e-6     244.031 0.000421988   6.2360e-5   -5666.22809905    -48.43419335    -5666.2281    -48.4342

bi    phl       0.0929232     1.73753    0.161457     0.33377   -6365.82138318    -11.36607678    -6365.8214    -11.3661
      annm       0.100966     1.61040    0.162596     0.44197   -5365.86025272    -11.32226982    -5365.8603    -11.3223
      obi        0.160613     1.38883    0.223064     0.13493   -6034.50100636     -9.35144143    -6034.5010     -9.3514
      east     0.00249635     4.03228   0.0100660    0.033379   -6477.69342422    -28.66330490    -6477.6934    -28.6633
      tbi      4.57723e-5     50.9703  0.00233302    0.052835   -6320.46354296    -37.77600876    -6320.4635    -37.7760
      fbi     0.000189419     3.19786 0.000605737   0.0025328   -6064.41514154    -46.18112731    -6064.4151    -46.1811
      mmbi    1.85531e-10     2.08682 3.87171e-10  0.00059162   -5715.72738953   -135.08379677    -5715.7274   -135.0838

q                                                               -925.5894
H2O                                                             -330.3176
sph                                                            -2662.0687

===========================================================

g ep mu pa bi q H2O sph  {12.7938, 479.432}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90971   0.32925   0.03982   0.00681
ep        f(ep)     Q(ep)
        0.03825   0.03720
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.36710   0.77392   0.00063   0.10150   0.00273
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.36710   0.99750   0.00006   0.95067   0.02101
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50256   0.00061   0.03414   0.00254   0.05372   0.17947

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05697   0.57397   0.03982   0.32925   0.99319   0.00681
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00105   0.99895   0.07546   0.92454
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.89577   0.10150   0.00273   0.14308   0.08299   0.77392   0.99937   0.00063   0.61167   0.38833
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.02833   0.95067   0.02101   0.00158   0.00092   0.99750   0.99994   0.00006   0.49075   0.50925
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.33314   0.00061   0.57585   0.00254   0.05372   0.03414   0.55666   0.00061   0.44274   0.48166   0.51834   0.94628   0.05372

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993193    0.987738    0.170898    1.735519           0           0           0    0.119458    0.006807
ep        0.500000           3    1.461745           2           0    0.076509           0           0           0           0    0.038255
mu               1    3.223345    1.274974    0.002730    0.143084    0.083624    0.447885    0.050750           0           0    0.000316
pa               1    2.981493    1.507973    0.021005    0.001581    0.000980    0.014164    0.475333           0           0    0.000032
bi        0.946282    2.963317    0.535411           0    1.446455    1.463870    0.500000           0    0.053718    0.001819    0.001272
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02596685              0.09194488  0.13400109  0.10213580  0.19396096  0.44522725  0.00676317

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13960892  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -5979.0476  -5438.7951      0.7179    11.91187     4.00496
ep            -7016.1034  -6489.9379      0.6991    13.67627     3.33831
mu            -6052.6711  -5541.8317      0.6788    13.92334     2.86525
pa            -6082.1956  -5591.8039      0.6516    13.17552     2.90694
bi            -5895.2754  -5296.6219      0.7955    15.07254     3.08299
q              -925.9347   -855.4887      0.0936     2.24533     2.67577
H2O            -330.7279   -238.8331      0.1221     1.69066     1.06556
sph           -2663.0638  -2452.3062      0.2800     5.54419     3.53595

sys           -647.27374  -564.04519     0.11059     1.93037     2.16941

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000182355     4.63852 0.000845858    0.050159   -6432.60952496    -44.27118864    -6432.6095    -44.2712
      alm        0.186523     1.14124    0.212868     0.57397   -5467.50181994     -9.68052708    -5467.5018     -9.6805
      spss     6.22800e-5    0.997580  6.21293e-5    0.039819   -5890.25777281    -60.60976477    -5890.2578    -60.6098
      gr        0.0352070     1.26981   0.0447063     0.32925   -6768.11925863    -19.44534981    -6768.1193    -19.4453
      kho      8.56511e-9     1.77301  1.51860e-8   0.0068068   -5573.29731430   -112.64897703    -5573.2973   -112.6490

ep    cz         0.923570     1.00092    0.924422     0.92454   -7045.86859291      0.49173459    -7045.8686     -0.4917
      ep        0.0753805     1.14619   0.0864006    0.074410   -6635.57065940    -15.32255946    -6635.5707    -15.3226
      fep      7.92143e-5     1.55842 0.000123449   0.0010498   -6199.11268385    -56.31345492    -6199.1127    -56.3135

mu    mu         0.658261    0.951477    0.626320     0.66906   -6109.89917619     -2.92774362    -6109.8992     -2.9277
      cel       0.0479236     1.70671   0.0817918     0.14308   -5968.09183582    -15.66556719    -5968.0918    -15.6656
      fcel      0.0277967     1.70671   0.0474410    0.082991   -5631.45084581    -19.07384606    -5631.4508    -19.0738
      pa        0.0745879     12.8147    0.955820     0.10150   -6075.12446500      0.28274191    -6075.1245     -0.2827
      mat     0.000318370     271.883   0.0865593   0.0027297   -6363.91119422    -15.31108026    -6363.9112    -15.3111
      fmu     0.000416413     1.01430 0.000422366  0.00063220   -5668.74307086    -48.61673374    -5668.7431    -48.6167

pa    mu        0.0282458     22.1723    0.626274    0.025766   -6109.89917619     -2.92819341    -6109.8992     -2.9282
      cel      1.07868e-5     7580.91   0.0817736   0.0015812   -5968.09183582    -15.66696343    -5968.0918    -15.6670
      fcel     6.25655e-6     7580.91   0.0474304  0.00091713   -5631.45084581    -19.07524231    -5631.4508    -19.0752
      pa         0.947907     1.00841    0.955879     0.95067   -6075.12446500      0.28235195    -6075.1245     -0.2824
      mat      0.00543359     15.9316   0.0865658    0.021005   -6363.91119422    -15.31060822    -6363.9112    -15.3106
      fmu      1.78513e-6     236.569 0.000422305   6.3196e-5   -5668.74307086    -48.61763996    -5668.7431    -48.6176

bi    phl       0.0923120     1.73701    0.160347     0.33314   -6368.40515803    -11.45342168    -6368.4052    -11.4534
      annm       0.100939     1.60568    0.162075     0.44274   -5368.77409400    -11.38633924    -5368.7741    -11.3863
      obi        0.159569     1.38829    0.221527     0.13312   -6037.19480335     -9.43102796    -6037.1948     -9.4310
      east     0.00254505     4.01269   0.0102125    0.034139   -6480.24411648    -28.68422177    -6480.2441    -28.6842
      tbi      4.79679e-5     49.9512  0.00239605    0.053718   -6322.90707041    -37.75595080    -6322.9071    -37.7560
      fbi     0.000189685     3.18694 0.000604516   0.0025444   -6067.08801115    -46.37315760    -6067.0880    -46.3732
      mmbi    1.99311e-10     2.07965 4.14497e-10  0.00060631   -5718.66387650   -135.18181269    -5718.6639   -135.1818

q                                                               -925.9347
H2O                                                             -330.7279
sph                                                            -2663.0638

===========================================================

g ep mu pa bi q H2O sph  {12.7614, 482.345}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90890   0.33110   0.03991   0.00680
ep        f(ep)     Q(ep)
        0.03750   0.03646
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.36869   0.77524   0.00063   0.10315   0.00281
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.36869   0.99744   0.00006   0.94982   0.02132
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50301   0.00062   0.03490   0.00256   0.05461   0.17856

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05730   0.57170   0.03991   0.33110   0.99320   0.00680
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00104   0.99896   0.07397   0.92603
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.89404   0.10315   0.00281   0.14189   0.08287   0.77524   0.99937   0.00063   0.61098   0.38902
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.02885   0.94982   0.02132   0.00162   0.00094   0.99744   0.99994   0.00006   0.49062   0.50938
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.33250   0.00062   0.57481   0.00256   0.05461   0.03490   0.55589   0.00062   0.44349   0.48127   0.51873   0.94539   0.05461

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993197    0.993287    0.171902    1.728692           0           0           0    0.119726    0.006803
ep        0.500000           3    1.462496           2           0    0.075008           0           0           0           0    0.037504
mu               1    3.221955    1.276327    0.002806    0.141894    0.083498    0.447021    0.051576           0           0    0.000315
pa               1    2.981237    1.508068    0.021325    0.001617    0.001009    0.014427    0.474910           0           0    0.000032
bi        0.945393    2.962540    0.536182           0    1.444274    1.464350    0.500000           0    0.054607    0.001864    0.001278
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02587043              0.09178856  0.13397756  0.10236596  0.19403778  0.44523450  0.00672521

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13962026  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -5984.3299  -5440.7066      0.7196    11.91485     4.00296
ep            -7019.1794  -6489.5865      0.7010    13.67734     3.33773
mu            -6055.2723  -5541.0627      0.6806    13.92445     2.86482
pa            -6084.6225  -5590.8892      0.6535    13.17858     2.90637
bi            -5897.9984  -5295.4954      0.7975    15.07473     3.08279
q              -926.2806   -855.3601      0.0939     2.24580     2.67522
H2O            -331.1387   -238.6912      0.1224     1.69346     1.06380
sph           -2664.0602  -2451.9273      0.2808     5.54465     3.53566

sys           -647.65884  -563.90190     0.11086     1.93192     2.16767

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000185588     4.63181 0.000859610    0.050497   -6434.84996846    -44.34119631    -6434.8500    -44.3412
      alm        0.184316     1.14156    0.210408     0.57170   -5470.00864762     -9.79098261    -5470.0086     -9.7910
      spss     6.27003e-5    0.996773  6.24980e-5    0.039909   -5892.73383629    -60.80713147    -5892.7338    -60.8071
      gr        0.0358040     1.26645   0.0453439     0.33110   -6770.36704533    -19.43164772    -6770.3670    -19.4316
      kho      8.70804e-9     1.75053  1.52437e-8   0.0068033   -5575.78218964   -113.06108573    -5575.7822   -113.0611

ep    cz         0.925069     1.00088    0.925887     0.92603   -7048.33678107      0.48369444    -7048.3368     -0.4837
      ep        0.0738906     1.14610   0.0846857    0.072927   -6638.13885338    -15.50778086    -6638.1389    -15.5078
      fep      7.69316e-5     1.55682 0.000119768   0.0010401   -6201.75132097    -56.72150040    -6201.7513    -56.7215

mu    mu         0.658536    0.950882    0.626190     0.66865   -6112.29545615     -2.94037420    -6112.2955     -2.9404
      cel       0.0473260     1.71329   0.0810833     0.14189   -5970.48443248    -15.78083327    -5970.4844    -15.7808
      fcel      0.0276385     1.71329   0.0473529    0.082867   -5633.97550537    -19.15932651    -5633.9755    -19.1593
      pa        0.0759797     12.5711    0.955146     0.10315   -6077.44365947      0.28826695    -6077.4437     -0.2883
      mat     0.000329054     263.368   0.0866623   0.0028064   -6366.19979768    -15.36285619    -6366.1998    -15.3629
      fmu     0.000415627     1.01693 0.000422665  0.00063074   -5671.26156674    -48.80041640    -5671.2616    -48.8004

pa    mu        0.0287688     21.7647    0.626145    0.026229   -6112.29545615     -2.94082121    -6112.2955     -2.9408
      cel      1.12325e-5     7217.03   0.0810654   0.0016173   -5970.48443248    -15.78222069    -5970.4844    -15.7822
      fcel     6.55983e-6     7217.03   0.0473424  0.00094453   -5633.97550537    -19.16071392    -5633.9755    -19.1607
      pa         0.946993     1.00867    0.955204     0.94982   -6077.44365947      0.28788019    -6077.4437     -0.2879
      mat      0.00551860     15.7049   0.0866688    0.021325   -6366.19979768    -15.36238701    -6366.1998    -15.3624
      fmu      1.84243e-6     229.374 0.000422605   6.4038e-5   -5671.26156674    -48.80131705    -5671.2616    -48.8013

bi    phl       0.0917024     1.73650    0.159241     0.33250   -6370.99247813    -11.54118593    -6370.9925    -11.5412
      annm       0.100905     1.60102    0.161551     0.44349   -5371.69160742    -11.45074149    -5371.6916    -11.4507
      obi        0.158529     1.38775    0.219999     0.13132   -6039.89218789     -9.51100501    -6039.8922     -9.5110
      east     0.00259394     3.99334   0.0103585    0.034905   -6482.79840086    -28.70606961    -6482.7984    -28.7061
      tbi      5.02478e-5     48.9579  0.00246003    0.054607   -6325.35375241    -37.73653678    -6325.3538    -37.7365
      fbi     0.000189923     3.17614 0.000603222   0.0025556   -6069.76451146    -46.56605714    -6069.7645    -46.5661
      mmbi    2.13995e-10     2.07257 4.43520e-10  0.00062125   -5721.60394698   -135.27980494    -5721.6039   -135.2798

q                                                               -926.2806
H2O                                                             -331.1387
sph                                                            -2664.0602

===========================================================

g ep mu pa bi q H2O sph  {12.7291, 485.257}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90809   0.33296   0.04000   0.00680
ep        f(ep)     Q(ep)
        0.03677   0.03574
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.37027   0.77653   0.00063   0.10481   0.00288
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.37027   0.99737   0.00006   0.94897   0.02164
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50347   0.00064   0.03568   0.00257   0.05550   0.17767

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05763   0.56941   0.04000   0.33296   0.99320   0.00680
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00103   0.99897   0.07252   0.92748
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.89230   0.10481   0.00288   0.14073   0.08274   0.77653   0.99937   0.00063   0.61029   0.38971
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.02939   0.94897   0.02164   0.00165   0.00097   0.99737   0.99994   0.00006   0.49049   0.50951
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.33186   0.00064   0.57376   0.00257   0.05550   0.03568   0.55512   0.00064   0.44424   0.48088   0.51912   0.94450   0.05550

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993200    0.998877    0.172892    1.721845           0           0           0    0.119987    0.006800
ep        0.500000    3.000000    1.463227           2           0    0.073547           0           0           0           0    0.036773
mu               1    3.220586    1.277657    0.002884    0.140726    0.083374    0.446151    0.052407           0           0    0.000315
pa               1    2.980984    1.508162    0.021643    0.001654    0.001038    0.014694    0.474485           0           0    0.000032
bi        0.944496    2.961757    0.536960           0    1.442099    1.464811    0.500000           0    0.055504    0.001909    0.001283
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02577512              0.09163326  0.13395401  0.10259486  0.19411399  0.44524191  0.00668686

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13963170  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -5989.6265  -5442.6284      0.7212    11.91785     4.00094
ep            -7022.2423  -6489.2144      0.7028    13.67842     3.33716
mu            -6057.8729  -5540.2862      0.6825    13.92557     2.86438
pa            -6087.0526  -5589.9705      0.6554    13.18163     2.90581
bi            -5900.7317  -5294.3729      0.7995    15.07690     3.08259
q              -926.6269   -855.2311      0.0941     2.24627     2.67466
H2O            -331.5502   -238.5508      0.1226     1.69620     1.06208
sph           -2665.0581  -2451.5473      0.2815     5.54512     3.53536

sys           -648.04451  -563.75903     0.11113     1.93345     2.16596

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000188813     4.62529 0.000873314    0.050830   -6437.09410932    -44.41238833    -6437.0941    -44.4124
      alm        0.182121     1.14189    0.207962     0.56941   -5472.51936049     -9.90247993    -5472.5194     -9.9025
      spss     6.31122e-5    0.995981  6.28585e-5    0.039996   -5895.21363432    -61.00525850    -5895.2136    -61.0053
      gr        0.0364121     1.26311   0.0459923     0.33296   -6772.61839044    -19.41701465    -6772.6184    -19.4170
      kho      8.85089e-9     1.72847  1.52985e-8   0.0068001   -5578.27084320   -113.47424678    -5578.2708   -113.4742

ep    cz         0.926528     1.00085    0.927312     0.92748   -7050.80865449      0.47586020    -7050.8087     -0.4759
      ep        0.0724415     1.14599   0.0830169    0.071486   -6640.71085691    -15.69305830    -6640.7109    -15.6931
      fep      7.47324e-5     1.55520 0.000116224   0.0010306   -6204.39376769    -57.12957631    -6204.3938    -57.1296

mu    mu         0.658769    0.950307    0.626032     0.66820   -6114.69529656     -2.95329313    -6114.6953     -2.9533
      cel       0.0467401     1.71992   0.0803895     0.14073   -5972.88056963    -15.89585739    -5972.8806    -15.8959
      fcel      0.0274824     1.71992   0.0472677    0.082745   -5636.50374528    -19.24454020    -5636.5037    -19.2445
      pa        0.0773817     12.3346    0.954470     0.10481   -6079.76651652      0.29383756    -6079.7665     -0.2938
      mat     0.000339957     255.180   0.0867503   0.0028845   -6368.49204186    -15.41567266    -6368.4920    -15.4157
      fmu     0.000414825     1.01958 0.000422947  0.00062930   -5673.78366350    -48.98432141    -5673.7837    -48.9843

pa    mu        0.0292974     21.3667    0.625988    0.026695   -6114.69529656     -2.95373737    -6114.6953     -2.9537
      cel      1.16945e-5     6872.63   0.0803719   0.0016542   -5972.88056963    -15.89723602    -5972.8806    -15.8972
      fcel     6.87616e-6     6872.63   0.0472573  0.00097264   -5636.50374528    -19.24591883    -5636.5037    -19.2459
      pa         0.946074     1.00894    0.954528     0.94897   -6079.76651652      0.29345396    -6079.7665     -0.2935
      mat      0.00560326     15.4833   0.0867567    0.021643   -6368.49204186    -15.41520633    -6368.4920    -15.4152
      fmu      1.90117e-6     222.435 0.000422887   6.4888e-5   -5673.78366350    -48.98521650    -5673.7837    -48.9852

bi    phl       0.0910945     1.73602    0.158142     0.33186   -6373.58342290    -11.62936860    -6373.5834    -11.6294
      annm       0.100864     1.59645    0.161024     0.44424   -5374.61287503    -11.51547792    -5374.6129    -11.5155
      obi        0.157495     1.38722    0.218479     0.12951   -6042.59324028     -9.59137239    -6042.5932     -9.5914
      east     0.00264301     3.97421   0.0105039    0.035677   -6485.35635558    -28.72884048    -6485.3564    -28.7288
      tbi      5.26145e-5     47.9895  0.00252494    0.055504   -6327.80366617    -37.71776756    -6327.8037    -37.7178
      fbi     0.000190134     3.16546 0.000601860   0.0025665   -6072.44472252    -46.75981371    -6072.4447    -46.7598
      mmbi    2.29634e-10     2.06559 4.74329e-10  0.00063644   -5724.54768154   -135.37778939    -5724.5477   -135.3778

q                                                               -926.6269
H2O                                                             -331.5502
sph                                                            -2665.0581

===========================================================

g ep mu pa bi q H2O sph  {12.6969, 488.169}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90728   0.33484   0.04008   0.00680
ep        f(ep)     Q(ep)
        0.03606   0.03504
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.37184   0.77780   0.00063   0.10649   0.00296
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.37184   0.99731   0.00007   0.94812   0.02196
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50392   0.00065   0.03646   0.00258   0.05641   0.17679

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05796   0.56713   0.04008   0.33484   0.99320   0.00680
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00102   0.99898   0.07110   0.92890
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.89055   0.10649   0.00296   0.13958   0.08262   0.77780   0.99937   0.00063   0.60962   0.39038
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.02993   0.94812   0.02196   0.00169   0.00100   0.99731   0.99993   0.00007   0.49037   0.50963
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.33121   0.00065   0.57270   0.00258   0.05641   0.03646   0.55436   0.00065   0.44499   0.48048   0.51952   0.94359   0.05641

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993203    1.004508    0.173867    1.714978           0           0           0    0.120242    0.006797
ep        0.500000    3.000000    1.463937    2.000000           0    0.072126           0           0           0           0    0.036063
mu        1.000000    3.219239    1.278966    0.002964    0.139578    0.083253    0.445275    0.053243           0           0    0.000314
pa        1.000000    2.980734    1.508253    0.021959    0.001692    0.001067    0.014963    0.474058           0           0    0.000033
bi        0.943593    2.960968    0.537744           0    1.439928    1.465254    0.500000           0    0.056407    0.001956    0.001289
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02568089              0.09147892  0.13393044  0.10282252  0.19418961  0.44524949  0.00664813

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13964322  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -5994.9377  -5444.5607      0.7229    11.92087     3.99892
ep            -7025.2927  -6488.8222      0.7047    13.67952     3.33659
mu            -6060.4730  -5539.5024      0.6843    13.92667     2.86395
pa            -6089.4859  -5589.0478      0.6573    13.18470     2.90524
bi            -5903.4756  -5293.2546      0.8015    15.07907     3.08238
q              -926.9737   -855.1014      0.0944     2.24673     2.67410
H2O            -331.9623   -238.4090      0.1229     1.69900     1.06033
sph           -2666.0574  -2451.1663      0.2823     5.54558     3.53507

sys           -648.43077  -563.61521     0.11141     1.93500     2.16422

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000192027     4.61894 0.000886962    0.051159   -6439.34200882    -44.48477247    -6439.3420    -44.4848
      alm        0.179936     1.14222    0.205527     0.56713   -5475.03402074    -10.01503093    -5475.0340    -10.0150
      spss     6.35152e-5    0.995202  6.32105e-5    0.040081   -5897.69723098    -61.20416898    -5897.6972    -61.2042
      gr        0.0370315     1.25979   0.0466519     0.33484   -6774.87336329    -19.40144660    -6774.8734    -19.4014
      kho      8.99361e-9     1.70684  1.53506e-8   0.0067971   -5580.76334020   -113.88845990    -5580.7633   -113.8885

ep    cz         0.927947     1.00081    0.928699     0.92890   -7053.28428902      0.46822561    -7053.2843     -0.4682
      ep        0.0710318     1.14586   0.0813928    0.070083   -6643.28674703    -15.87838227    -6643.2867    -15.8784
      fep      7.26133e-5     1.55357 0.000112810   0.0010212   -6207.04010273    -57.53766936    -6207.0401    -57.5377

mu    mu         0.658961    0.949750    0.625848     0.66772   -6117.09877620     -2.96649660    -6117.0988     -2.9665
      cel       0.0461656     1.72660   0.0797098     0.13958   -5975.28032585    -16.01064449    -5975.2803    -16.0106
      fcel      0.0273283     1.72660   0.0471852    0.082625   -5639.03564481    -19.32949310    -5639.0356    -19.3295
      pa        0.0787938     12.1049    0.953794     0.10649   -6082.09310971      0.29945335    -6082.0931     -0.2995
      mat     0.000351080     247.305   0.0868237   0.0029637   -6370.78799911    -15.46951787    -6370.7880    -15.4695
      fmu     0.000414006     1.02224 0.000423213  0.00062788   -5676.30944189    -49.16844092    -5676.3094    -49.1684

pa    mu        0.0298316     20.9779    0.625805    0.027166   -6117.09877620     -2.96693807    -6117.0988     -2.9669
      cel      1.21732e-5     6546.58   0.0796925   0.0016918   -5975.28032585    -16.01201438    -5975.2803    -16.0120
      fcel     7.20605e-6     6546.58   0.0471750   0.0010015   -5639.03564481    -19.33086299    -5639.0356    -19.3309
      pa         0.945149     1.00921    0.953851     0.94812   -6082.09310971      0.29907287    -6082.0931     -0.2991
      mat      0.00568754     15.2667   0.0868300    0.021959   -6370.78799911    -15.46905438    -6370.7880    -15.4691
      fmu      1.96139e-6     215.742 0.000423153   6.5744e-5   -5676.30944189    -49.16933049    -5676.3094    -49.1693

bi    phl       0.0904883     1.73556    0.157048     0.33121   -6376.17807588    -11.71796873    -6376.1781    -11.7180
      annm       0.100817     1.59194    0.160494     0.44499   -5377.53798315    -11.58054980    -5377.5380    -11.5805
      obi        0.156465     1.38669    0.216968     0.12771   -6045.29804497     -9.67212989    -6045.2980     -9.6721
      east     0.00269223     3.95531   0.0106486    0.036455   -6487.91806287    -28.75252617    -6487.9181    -28.7525
      tbi      5.50701e-5     47.0453  0.00259079    0.056407   -6330.25689283    -37.69964361    -6330.2569    -37.6996
      fbi     0.000190317     3.15490 0.000600431   0.0025771   -6075.12872856    -46.95441506    -6075.1287    -46.9544
      mmbi    2.46280e-10     2.05870 5.07016e-10  0.00065189   -5727.49516492   -135.47578200    -5727.4952   -135.4758

q                                                               -926.9737
H2O                                                             -331.9623
sph                                                            -2666.0574

===========================================================

g ep mu pa bi q H2O sph  {12.6649, 491.081}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90648   0.33673   0.04016   0.00679
ep        f(ep)     Q(ep)
        0.03537   0.03436
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.37341   0.77904   0.00063   0.10817   0.00304
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.37341   0.99724   0.00007   0.94726   0.02227
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50437   0.00067   0.03724   0.00259   0.05732   0.17592

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05828   0.56483   0.04016   0.33673   0.99321   0.00679
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00101   0.99899   0.06973   0.93027
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.88879   0.10817   0.00304   0.13845   0.08251   0.77904   0.99937   0.00063   0.60896   0.39104
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03047   0.94726   0.02227   0.00173   0.00103   0.99724   0.99993   0.00007   0.49024   0.50976
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.33055   0.00067   0.57164   0.00259   0.05732   0.03724   0.55361   0.00067   0.44573   0.48009   0.51991   0.94268   0.05732

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993206    1.010180    0.174828    1.708092           0           0           0    0.120490    0.006794
ep        0.500000    3.000000    1.464629           2           0    0.070743           0           0           0           0    0.035371
mu               1    3.217911    1.280253    0.003044    0.138449    0.083133    0.444394    0.054084           0           0    0.000313
pa               1    2.980488    1.508342    0.022273    0.001730    0.001098    0.015235    0.473629           0           0    0.000033
bi        0.942684    2.960173    0.538534           0    1.437763    1.465678    0.500000           0    0.057316    0.002003    0.001294
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02558775              0.09132552  0.13390684  0.10304898  0.19426466  0.44525722  0.00660902

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13965483  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6000.2636  -5446.5036      0.7246    11.92390     3.99690
ep            -7028.3310  -6488.4105      0.7065    13.68062     3.33603
mu            -6063.0727  -5538.7116      0.6861    13.92777     2.86352
pa            -6091.9225  -5588.1213      0.6592    13.18777     2.90468
bi            -5906.2299  -5292.1405      0.8035    15.08123     3.08218
q              -927.3209   -854.9713      0.0947     2.24720     2.67354
H2O            -332.3750   -238.2657      0.1231     1.70190     1.05852
sph           -2667.0581  -2450.7842      0.2830     5.54604     3.53477

sys           -648.81761  -563.47047     0.11168     1.93660     2.16243

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000195229     4.61276 0.000900546    0.051482   -6441.59373027    -44.55835654    -6441.5937    -44.5584
      alm        0.177763     1.14257    0.203106     0.56483   -5477.55269256    -10.12864754    -5477.5527    -10.1286
      spss     6.39091e-5    0.994438  6.35536e-5    0.040163   -5900.18469246    -61.40388617    -5900.1847    -61.4039
      gr        0.0376626     1.25649   0.0473227     0.33673   -6777.13203538    -19.38493998    -6777.1320    -19.3849
      kho      9.13614e-9     1.68561  1.53999e-8   0.0067944   -5583.25974797   -114.30372519    -5583.2597   -114.3037

ep    cz         0.929328     1.00078    0.930050     0.93027   -7055.76376284      0.46078463    -7055.7638     -0.4608
      ep        0.0696603     1.14573   0.0798120    0.068719   -6645.86660321    -16.06374363    -6645.8666    -16.0637
      fep      7.05708e-5     1.55193 0.000109521   0.0010120   -6209.69040731    -57.94576688    -6209.6904    -57.9458

mu    mu         0.659113    0.949212    0.625638     0.66721   -6119.50597631     -2.97998087    -6119.5060     -2.9800
      cel       0.0456022     1.73333   0.0790438     0.13845   -5977.68378214    -16.12519980    -5977.6838    -16.1252
      fcel      0.0271762     1.73333   0.0471054    0.082507   -5641.57128566    -19.41419140    -5641.5713    -19.4142
      pa        0.0802161     11.8819    0.953116     0.10817   -6084.42351488      0.30511396    -6084.4235     -0.3051
      mat     0.000362423     239.727   0.0868826   0.0030442   -6373.08774405    -15.52437997    -6373.0877    -15.5244
      fmu     0.000413173     1.02491 0.000423463  0.00062647   -5678.83898517    -49.35276735    -5678.8390    -49.3528

pa    mu        0.0303714     20.5982    0.625595    0.027641   -6119.50597631     -2.98041961    -6119.5060     -2.9804
      cel      1.26691e-5     6237.79   0.0790269   0.0017302   -5977.68378214    -16.12656099    -5977.6838    -16.1266
      fcel     7.55000e-6     6237.79   0.0470953   0.0010311   -5641.57128566    -19.41555260    -5641.5713    -19.4156
      pa         0.944219     1.00948    0.953173     0.94726   -6084.42351488      0.30473657    -6084.4235     -0.3047
      mat      0.00577142     15.0550   0.0868889    0.022273   -6373.08774405    -15.52391931    -6373.0877    -15.5239
      fmu      2.02310e-6     209.284 0.000423404   6.6608e-5   -5678.83898517    -49.35365143    -5678.8390    -49.3537

bi    phl       0.0898840     1.73512    0.155959     0.33055   -6378.77652321    -11.80698536    -6378.7765    -11.8070
      annm       0.100763     1.58751    0.159962     0.44573   -5380.46702080    -11.64595835    -5380.4670    -11.6460
      obi        0.155441     1.38616    0.215466     0.12591   -6048.00668907     -9.75327728    -6048.0067     -9.7533
      east     0.00274161     3.93662   0.0107927    0.037240   -6490.48360757    -28.77711831    -6490.4836    -28.7771
      tbi      5.76170e-5     46.1246  0.00265756    0.057316   -6332.71351607    -37.68216526    -6332.7135    -37.6822
      fbi     0.000190473     3.14447 0.000598937   0.0025872   -6077.81661643    -47.14984897    -6077.8166    -47.1498
      mmbi    2.63988e-10     2.05191 5.41680e-10  0.00066760   -5730.44648456   -135.57379888    -5730.4465   -135.5738

q                                                               -927.3209
H2O                                                             -332.3750
sph                                                            -2667.0581

===========================================================

g ep mu pa bi q H2O sph  {12.6330, 493.993}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90567   0.33863   0.04024   0.00679
ep        f(ep)     Q(ep)
        0.03470   0.03370
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.37497   0.78027   0.00063   0.10986   0.00313
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.37497   0.99717   0.00007   0.94639   0.02259
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50481   0.00068   0.03803   0.00260   0.05823   0.17505

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05859   0.56253   0.04024   0.33863   0.99321   0.00679
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00100   0.99900   0.06839   0.93161
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.88701   0.10986   0.00313   0.13734   0.08239   0.78027   0.99937   0.00063   0.60830   0.39170
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03102   0.94639   0.02259   0.00177   0.00106   0.99717   0.99993   0.00007   0.49012   0.50988
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.32989   0.00068   0.57057   0.00260   0.05823   0.03803   0.55286   0.00068   0.44646   0.47969   0.52031   0.94177   0.05823

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993208    1.015894    0.175774    1.701185           0           0           0    0.120730    0.006792
ep        0.500000           3    1.465301           2           0    0.069397           0           0           0           0    0.034699
mu        1.000000    3.216604    1.281520    0.003126    0.137338    0.083017    0.443506    0.054931           0           0    0.000313
pa               1    2.980244    1.508429    0.022586    0.001769    0.001129    0.015509    0.473197           0           0    0.000034
bi        0.941767    2.959373    0.539329           0    1.435603    1.466083    0.500000           0    0.058233    0.002051    0.001299
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02549569              0.09117301  0.13388322  0.10327428  0.19433915  0.44526513  0.00656953

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13966652  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6005.6042  -5448.4574      0.7263    11.92695     3.99487
ep            -7031.3580  -6487.9801      0.7083    13.68174     3.33548
mu            -6065.6724  -5537.9141      0.6880    13.92886     2.86309
pa            -6094.3624  -5587.1909      0.6611    13.19085     2.90411
bi            -5908.9946  -5291.0307      0.8055    15.08338     3.08197
q              -927.6688   -854.8406      0.0949     2.24768     2.67298
H2O            -332.7883   -238.1241      0.1234     1.70473     1.05676
sph           -2668.0603  -2450.4011      0.2837     5.54650     3.53448

sys           -649.20506  -563.32622     0.11195     1.93817     2.16068

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000198417     4.60675 0.000914060    0.051799   -6443.84933847    -44.63314837    -6443.8493    -44.6331
      alm        0.175601     1.14292    0.200697     0.56253   -5480.07544172    -10.24334171    -5480.0754    -10.2433
      spss     6.42936e-5    0.993687  6.38877e-5    0.040243   -5902.67608654    -61.60443347    -5902.6761    -61.6044
      gr        0.0383056     1.25321   0.0480051     0.33863   -6779.39447994    -19.36749168    -6779.3945    -19.3675
      kho      9.27843e-9     1.66477  1.54465e-8   0.0067918   -5585.76013552   -114.72004307    -5585.7601   -114.7200

ep    cz         0.930671     1.00074    0.931364     0.93161   -7058.24715600      0.45353143    -7058.2472     -0.4535
      ep        0.0683258     1.14559   0.0782732    0.067391   -6648.45050683    -16.24913359    -6648.4505    -16.2491
      fep      6.86019e-5     1.55028 0.000106352   0.0010030   -6212.34476454    -58.35385669    -6212.3448    -58.3539

mu    mu         0.659225    0.948692    0.625402     0.66666   -6121.91698000     -2.99374231    -6121.9170     -2.9937
      cel       0.0450494     1.74012   0.0783912     0.13734   -5980.09102142    -16.23952871    -5980.0910    -16.2395
      fcel      0.0270259     1.74012   0.0470281    0.082392   -5644.11075142    -19.49864151    -5644.1108    -19.4986
      pa        0.0816485     11.6651    0.952438     0.10986   -6086.75780967      0.31081905    -6086.7578     -0.3108
      mat     0.000373988     232.434   0.0869274   0.0031259   -6375.39135301    -15.58024696    -6375.3914    -15.5802
      fmu     0.000412324     1.02758 0.000423698  0.00062508   -5681.37237852    -49.53729337    -5681.3724    -49.5373

pa    mu        0.0309168     20.2272    0.625359    0.028121   -6121.91698000     -2.99417831    -6121.9170     -2.9942
      cel      1.31827e-5     5945.25   0.0783745   0.0017693   -5980.09102142    -16.24088126    -5980.0910    -16.2409
      fcel     7.90852e-6     5945.25   0.0470181   0.0010614   -5644.11075142    -19.49999406    -5644.1108    -19.5000
      pa         0.943284     1.00976    0.952494     0.94639   -6086.75780967      0.31044472    -6086.7578     -0.3104
      mat      0.00585486     14.8481   0.0869337    0.022586   -6375.39135301    -15.57978912    -6375.3914    -15.5798
      fmu      2.08634e-6     203.054 0.000423640   6.7478e-5   -5681.37237852    -49.53817197    -5681.3724    -49.5382

bi    phl       0.0892815     1.73470    0.154876     0.32989   -6381.37885308    -11.89641750    -6381.3789    -11.8964
      annm       0.100702     1.58315    0.159427     0.44646   -5383.40007907    -11.71170470    -5383.4001    -11.7117
      obi        0.154422     1.38564    0.213972     0.12411   -6050.71926174     -9.83481427    -6050.7193     -9.8348
      east     0.00279111     3.91816   0.0109360    0.038030   -6493.05307653    -28.80260839    -6493.0531    -28.8026
      tbi      6.02575e-5     45.2267  0.00272525    0.058233   -6335.17362148    -37.66533285    -6335.1736    -37.6653
      fbi     0.000190604     3.13415 0.000597382   0.0025971   -6080.50847505    -47.34610325    -6080.5085    -47.3461
      mmbi    2.82817e-10     2.04520 5.78419e-10  0.00068356   -5733.40172994   -135.67185625    -5733.4017   -135.6719

q                                                               -927.6688
H2O                                                             -332.7883
sph                                                            -2668.0603

===========================================================

g ep mu pa bi q H2O sph  {12.6012, 496.906}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90486   0.34055   0.04032   0.00679
ep        f(ep)     Q(ep)
        0.03404   0.03305
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.37652   0.78148   0.00062   0.11156   0.00321
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.37652   0.99710   0.00007   0.94553   0.02290
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50525   0.00070   0.03883   0.00261   0.05916   0.17420

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05890   0.56023   0.04032   0.34055   0.99321   0.00679
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00099   0.99901   0.06709   0.93291
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.88523   0.11156   0.00321   0.13625   0.08228   0.78148   0.99938   0.00062   0.60766   0.39234
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03157   0.94553   0.02290   0.00181   0.00109   0.99710   0.99993   0.00007   0.49000   0.51000
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.32921   0.00070   0.56950   0.00261   0.05916   0.03883   0.55212   0.00070   0.44718   0.47928   0.52072   0.94084   0.05916

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993210    1.021650    0.176705    1.694259           0           0           0    0.120964    0.006790
ep        0.500000    3.000000    1.465956    2.000000           0    0.068088           0           0           0           0    0.034044
mu               1    3.215316    1.282768    0.003209    0.136247    0.082902    0.442613    0.055782           0           0    0.000312
pa               1    2.980005    1.508513    0.022897    0.001809    0.001161    0.015787    0.472764           0           0    0.000034
bi        0.940845    2.958567    0.540130           0    1.433449    1.466470    0.500000           0    0.059155    0.002099    0.001303
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02540471              0.09102136  0.13385955  0.10349843  0.19441309  0.44527320  0.00652966

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13967830  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6010.9598  -5450.4222      0.7279    11.93001     3.99283
ep            -7034.3742  -6487.5314      0.7101    13.68286     3.33492
mu            -6068.2721  -5537.1099      0.6898    13.92994     2.86265
pa            -6096.8056  -5586.2567      0.6630    13.19394     2.90354
bi            -5911.7699  -5289.9252      0.8075    15.08553     3.08177
q              -928.0171   -854.7094      0.0952     2.24815     2.67242
H2O            -333.2023   -237.9811      0.1237     1.70754     1.05503
sph           -2669.0640  -2450.0171      0.2845     5.54696     3.53419

sys           -649.59311  -563.18110     0.11222     1.93972     2.15895

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000201589     4.60092 0.000927496    0.052112   -6446.10890196    -44.70915593    -6446.1089    -44.7092
      alm        0.173450     1.14328    0.198301     0.56023   -5482.60233773    -10.35912553    -5482.6023    -10.3591
      spss     6.46683e-5    0.992950  6.42124e-5    0.040321   -5905.17148481    -61.80583428    -5905.1715    -61.8058
      gr        0.0389606     1.24996   0.0486992     0.34055   -6781.66077425    -19.34909873    -6781.6608    -19.3491
      kho      9.42043e-9     1.64433  1.54903e-8   0.0067896   -5588.26457576   -115.13741470    -5588.2646   -115.1374

ep    cz         0.931979     1.00071    0.932644     0.93291   -7060.73455297      0.44646035    -7060.7346     -0.4465
      ep        0.0670271     1.14543   0.0767751    0.066100   -6651.03854375    -16.43454386    -6651.0385    -16.4345
      fep      6.67034e-5     1.54862 0.000103298  0.00099418   -6215.00326219    -58.76192740    -6215.0033    -58.7619

mu    mu         0.659299    0.948190    0.625141     0.66608   -6124.33187488     -3.00777728    -6124.3319     -3.0078
      cel       0.0445070     1.74695   0.0777515     0.13625   -5982.50213106    -16.35363708    -5982.5021    -16.3536
      fcel      0.0268773     1.74695   0.0469533    0.082278   -5646.65413023    -19.58285022    -5646.6541    -19.5829
      pa        0.0830911     11.4544    0.951758     0.11156   -6089.09607599      0.31656829    -6089.0961     -0.3166
      mat     0.000385775     225.413   0.0869585   0.0032089   -6377.69890652    -15.63710690    -6377.6989    -15.6371
      fmu     0.000411461     1.03028 0.000423919  0.00062370   -5683.90971178    -49.72201191    -5683.9097    -49.7220

pa    mu        0.0314679     19.8646    0.625099    0.028604   -6124.33187488     -3.00821056    -6124.3319     -3.0082
      cel      1.37147e-5     5668.02   0.0777352   0.0018092   -5982.50213106    -16.35498103    -5982.5021    -16.3550
      fcel     8.28216e-6     5668.02   0.0469435   0.0010926   -5646.65413023    -19.58419417    -5646.6541    -19.5842
      pa         0.942343     1.01005    0.951814     0.94553   -6089.09607599      0.31619699    -6089.0961     -0.3162
      mat      0.00593783     14.6459   0.0869647    0.022897   -6377.69890652    -15.63665188    -6377.6989    -15.6367
      fmu      2.15114e-6     197.040 0.000423861   6.8355e-5   -5683.90971178    -49.72288507    -5683.9097    -49.7229

bi    phl       0.0886809     1.73430    0.153799     0.32921   -6383.98515851    -11.98626417    -6383.9852    -11.9863
      annm       0.100636     1.57886    0.158889     0.44718   -5386.33725403    -11.77778995    -5386.3373    -11.7778
      obi        0.153407     1.38512    0.212487     0.12232   -6053.43585702     -9.91674058    -6053.4359     -9.9167
      east     0.00284074     3.89992   0.0110787    0.038827   -6495.62656131    -28.82898763    -6495.6266    -28.8290
      tbi      6.29941e-5     44.3509  0.00279385    0.059155   -6337.63729927    -37.64914622    -6337.6373    -37.6491
      fbi     0.000190709     3.12396 0.000595768   0.0026066   -6083.20439821    -47.54316568    -6083.2044    -47.5432
      mmbi    3.02825e-10     2.03859 6.17337e-10  0.00069979   -5736.36099550   -135.76997024    -5736.3610   -135.7700

q                                                               -928.0171
H2O                                                             -333.2023
sph                                                            -2669.0640

===========================================================

g ep mu pa bi q H2O sph  {12.5695, 499.818}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90406   0.34248   0.04040   0.00679
ep        f(ep)     Q(ep)
        0.03341   0.03242
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.37806   0.78266   0.00062   0.11328   0.00329
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.37806   0.99703   0.00007   0.94466   0.02321
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50569   0.00072   0.03963   0.00262   0.06008   0.17335

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05921   0.55791   0.04040   0.34248   0.99321   0.00679
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00099   0.99901   0.06583   0.93417
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.88343   0.11328   0.00329   0.13517   0.08217   0.78266   0.99938   0.00062   0.60702   0.39298
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03214   0.94466   0.02321   0.00185   0.00112   0.99703   0.99993   0.00007   0.48988   0.51012
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.32853   0.00072   0.56842   0.00262   0.06008   0.03963   0.55138   0.00072   0.44790   0.47888   0.52112   0.93992   0.06008

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993212    1.027449    0.177622    1.687313           0           0           0    0.121191    0.006788
ep        0.500000    3.000000    1.466593           2           0    0.066813           0           0           0           0    0.033407
mu               1    3.214046    1.283996    0.003293    0.135173    0.082789    0.441714    0.056639           0           0    0.000311
pa               1    2.979768    1.508594    0.023206    0.001850    0.001194    0.016068    0.472329           0           0    0.000035
bi        0.939915    2.957756    0.540936           0    1.431300    1.466838    0.500000           0    0.060085    0.002149    0.001308
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02531479              0.09087054  0.13383584  0.10372148  0.19448651  0.44528144  0.00648941

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13969016  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6016.3304  -5452.3982      0.7296    11.93309     3.99079
ep            -7037.3802  -6487.0651      0.7120    13.68400     3.33438
mu            -6070.8722  -5536.2995      0.6916    13.93102     2.86222
pa            -6099.2523  -5585.3188      0.6649    13.19703     2.90298
bi            -5914.5557  -5288.8241      0.8095    15.08766     3.08156
q              -928.3660   -854.5777      0.0955     2.24862     2.67186
H2O            -333.6170   -237.8398      0.1239     1.71036     1.05329
sph           -2670.0692  -2449.6322      0.2852     5.54743     3.53389

sys           -649.98180  -563.03651     0.11248     1.94129     2.15721

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000204743     4.59525 0.000940847    0.052420   -6448.37249083    -44.78638726    -6448.3725    -44.7864
      alm        0.171310     1.14364    0.195918     0.55791   -5485.13345172    -10.47601111    -5485.1335    -10.4760
      spss     6.50331e-5    0.992226  6.45275e-5    0.040397   -5907.67096055    -62.00811207    -5907.6710    -62.0081
      gr        0.0396280     1.24673   0.0494053     0.34248   -6783.93099733    -19.32975860    -6783.9310    -19.3298
      kho      9.56207e-9     1.62426  1.55313e-8   0.0067876   -5590.77314329   -115.55584160    -5590.7731   -115.5558

ep    cz         0.933251     1.00068    0.933890     0.93417   -7063.22604009      0.43956591    -7063.2260     -0.4396
      ep        0.0657631     1.14527   0.0753166    0.064842   -6653.63080182    -16.61996649    -6653.6308    -16.6200
      fep      6.48724e-5     1.54695 0.000100354  0.00098548   -6217.66599000    -59.16996817    -6217.6660    -59.1700

mu    mu         0.659336    0.947705    0.624856     0.66547   -6126.75075053     -3.02208222    -6126.7508     -3.0221
      cel       0.0439746     1.75384   0.0771243     0.13517   -5984.91720042    -16.46753097    -5984.9172    -16.4675
      fcel      0.0267304     1.75384   0.0468809    0.082166   -5649.20151219    -19.66682454    -5649.2015    -19.6668
      pa        0.0845440     11.2495    0.951078     0.11328   -6091.43839758      0.32236139    -6091.4384     -0.3224
      mat     0.000397785     218.651   0.0869760   0.0032932   -6380.01048691    -15.69494774    -6380.0105    -15.6949
      fmu     0.000410585     1.03298 0.000424126  0.00062234   -5686.45107676    -49.90691616    -5686.4511    -49.9069

pa    mu        0.0320248     19.5103    0.624814    0.029092   -6126.75075053     -3.02251279    -6126.7508     -3.0225
      cel      1.42655e-5     5405.21   0.0771083   0.0018499   -5984.91720042    -16.46886636    -5984.9172    -16.4689
      fcel     8.67148e-6     5405.21   0.0468712   0.0011245   -5649.20151219    -19.66815992    -5649.2015    -19.6682
      pa         0.941398     1.01034    0.951133     0.94466   -6091.43839758      0.32199308    -6091.4384     -0.3220
      mat      0.00602030     14.4481   0.0869821    0.023206   -6380.01048691    -15.69449550    -6380.0105    -15.6945
      fmu      2.21753e-6     191.235 0.000424068   6.9239e-5   -5686.45107676    -49.90778390    -5686.4511    -49.9078

bi    phl       0.0880824     1.73392    0.152728     0.32853   -6386.59553460    -12.07652441    -6386.5955    -12.0765
      annm       0.100562     1.57464    0.158349     0.44790   -5389.27864391    -11.84421509    -5389.2786    -11.8442
      obi        0.152398     1.38460    0.211011     0.12052   -6056.15657103     -9.99905590    -6056.1566     -9.9991
      east     0.00289047     3.88190   0.0112205    0.039628   -6498.20415560    -28.85624712    -6498.2042    -28.8562
      tbi      6.58292e-5     43.4967  0.00286335    0.060085   -6340.10464168    -37.63360519    -6340.1046    -37.6336
      fbi     0.000190790     3.11388 0.000594096   0.0026157   -6085.90448183    -47.74102410    -6085.9045    -47.7410
      mmbi    3.24076e-10     2.03207 6.58544e-10  0.00071628   -5739.32437779   -135.86815703    -5739.3244   -135.8682

q                                                               -928.3660
H2O                                                             -333.6170
sph                                                            -2670.0692

===========================================================

g ep mu pa bi q H2O sph  {12.5379, 502.730}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90325   0.34443   0.04047   0.00679
ep        f(ep)     Q(ep)
        0.03279   0.03181
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.37959   0.78383   0.00062   0.11500   0.00338
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.37959   0.99695   0.00007   0.94378   0.02351
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50612   0.00073   0.04044   0.00262   0.06102   0.17252

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05951   0.55559   0.04047   0.34443   0.99321   0.00679
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00098   0.99902   0.06460   0.93540
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.88162   0.11500   0.00338   0.13412   0.08206   0.78383   0.99938   0.00062   0.60640   0.39360
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03270   0.94378   0.02351   0.00189   0.00116   0.99695   0.99993   0.00007   0.48977   0.51023
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.32785   0.00073   0.56734   0.00262   0.06102   0.04044   0.55065   0.00073   0.44861   0.47847   0.52153   0.93898   0.06102

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993214    1.033291    0.178523    1.680347           0           0           0    0.121411    0.006786
ep        0.500000    3.000000    1.467214           2           0    0.065573           0           0           0           0    0.032786
mu        1.000000    3.212795    1.285206    0.003379    0.134117    0.082678    0.440809    0.057501           0           0    0.000310
pa        1.000000    2.979535    1.508673    0.023513    0.001891    0.001227    0.016352    0.471892           0           0    0.000035
bi        0.938980    2.956940    0.541748           0    1.429157    1.467189    0.500000           0    0.061020    0.002199    0.001312
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02522594              0.09072051  0.13381207  0.10394345  0.19455940  0.44528985  0.00644878

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13970211  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6021.7162  -5454.3856      0.7312    11.93618     3.98875
ep            -7040.3765  -6486.5818      0.7138    13.68515     3.33384
mu            -6073.4729  -5535.4830      0.6934    13.93209     2.86179
pa            -6101.7025  -5584.3773      0.6668    13.20013     2.90241
bi            -5917.3520  -5287.7274      0.8115    15.08979     3.08135
q              -928.7154   -854.4456      0.0957     2.24910     2.67129
H2O            -334.0323   -237.6965      0.1242     1.71320     1.05154
sph           -2671.0761  -2449.2464      0.2859     5.54789     3.53360

sys           -650.37112  -562.89079     0.11275     1.94286     2.15547

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000207878     4.58975 0.000954105    0.052722   -6450.64017794    -44.86485053    -6450.6402    -44.8649
      alm        0.169182     1.14402    0.193547     0.55559   -5487.66885761    -10.59401071    -5487.6689    -10.5940
      spss     6.53875e-5    0.991516  6.48327e-5    0.040470   -5910.17458989    -62.21129030    -5910.1746    -62.2113
      gr        0.0403079     1.24352   0.0501236     0.34443   -6786.20523129    -19.30946900    -6786.2052    -19.3095
      kho      9.70329e-9     1.60457  1.55696e-8   0.0067858   -5593.28591567   -115.97532589    -5593.2859   -115.9753

ep    cz         0.934490     1.00066    0.935104     0.93540   -7065.72170704      0.43284282    -7065.7217     -0.4328
      ep        0.0645327     1.14510   0.0738963    0.063619   -6656.22737223    -16.80539397    -6656.2274    -16.8054
      fep      6.31062e-5     1.54527  9.75159e-5  0.00097694   -6220.33304117    -59.57796878    -6220.3330    -59.5780

mu    mu         0.659335    0.947238    0.624548     0.66482   -6129.17369991     -3.03665360    -6129.1737     -3.0367
      cel       0.0434518     1.76079   0.0765094     0.13412   -5987.33632220    -16.58121676    -5987.3363    -16.5812
      fcel      0.0265852     1.76079   0.0468109    0.082057   -5651.75299081    -19.75057177    -5651.7530    -19.7506
      pa        0.0860071     11.0502    0.950397     0.11500   -6093.78486139      0.32819806    -6093.7849     -0.3282
      mat     0.000410021     212.137   0.0869804   0.0033786   -6382.32617963    -15.75375741    -6382.3262    -15.7538
      fmu     0.000409695     1.03569 0.000424319  0.00062099   -5688.99656878    -50.09199958    -5688.9966    -50.0920

pa    mu        0.0325875     19.1640    0.624506    0.029584   -6129.17369991     -3.03708148    -6129.1737     -3.0371
      cel      1.48359e-5     5156.00   0.0764937   0.0018914   -5987.33632220    -16.58254362    -5987.3363    -16.5825
      fcel     9.07704e-6     5156.00   0.0468012   0.0011572   -5651.75299081    -19.75189864    -5651.7530    -19.7519
      pa         0.940447     1.01064    0.950451     0.94378   -6093.78486139      0.32783273    -6093.7849     -0.3278
      mat      0.00610225     14.2548   0.0869864    0.023513   -6382.32617963    -15.75330795    -6382.3262    -15.7533
      fmu      2.28553e-6     185.630 0.000424262   7.0130e-5   -5688.99656878    -50.09286192    -5688.9966    -50.0929

bi    phl       0.0874858     1.73356    0.151662     0.32785   -6389.21008010    -12.16719725    -6389.2101    -12.1672
      annm       0.100483     1.57048    0.157807     0.44861   -5392.22435068    -11.91098110    -5392.2244    -11.9110
      obi        0.151393     1.38410    0.209543     0.11873   -6058.88150362    -10.08175990    -6058.8815    -10.0818
      east     0.00294029     3.86409   0.0113616    0.040435   -6500.78595663    -28.88437773    -6500.7860    -28.8844
      tbi      6.87651e-5     42.6634  0.00293375    0.061020   -6342.57574438    -37.61870932    -6342.5757    -37.6187
      fbi     0.000190846     3.10392 0.000592369   0.0026245   -6088.60882549    -47.93966636    -6088.6088    -47.9397
      mmbi    3.46633e-10     2.02563 7.02151e-10  0.00073303   -5742.29197708   -135.96643268    -5742.2920   -135.9664

q                                                               -928.7154
H2O                                                             -334.0323
sph                                                            -2671.0761

===========================================================

g ep mu pa bi q H2O sph  {12.5064, 505.642}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90245   0.34639   0.04054   0.00678
ep        f(ep)     Q(ep)
        0.03218   0.03121
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.38111   0.78497   0.00062   0.11674   0.00347
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.38111   0.99688   0.00007   0.94291   0.02382
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50655   0.00075   0.04125   0.00263   0.06196   0.17169

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05980   0.55326   0.04054   0.34639   0.99322   0.00678
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00097   0.99903   0.06340   0.93660
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.87980   0.11674   0.00347   0.13308   0.08195   0.78497   0.99938   0.00062   0.60578   0.39422
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03328   0.94291   0.02382   0.00193   0.00119   0.99688   0.99993   0.00007   0.48965   0.51035
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.32716   0.00075   0.56625   0.00263   0.06196   0.04125   0.54993   0.00075   0.44932   0.47806   0.52194   0.93804   0.06196

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993216    1.039175    0.179410    1.673360           0           0           0    0.121623    0.006784
ep        0.500000           3    1.467818           2           0    0.064365           0           0           0           0    0.032182
mu        1.000000    3.211560    1.286397    0.003465    0.133077    0.082568    0.439898    0.058369           0           0    0.000310
pa               1    2.979306    1.508749    0.023818    0.001934    0.001262    0.016638    0.471453           0           0    0.000036
bi        0.938038    2.956119    0.542564           0    1.427019    1.467521    0.500000           0    0.061962    0.002250    0.001317
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02513814              0.09057124  0.13378825  0.10416436  0.19463180  0.44529843  0.00640778

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13971414  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6027.1173  -5456.3846      0.7328    11.93929     3.98669
ep            -7043.3636  -6486.0820      0.7156    13.68631     3.33330
mu            -6076.0742  -5534.6606      0.6952    13.93316     2.86136
pa            -6104.1561  -5583.4323      0.6686    13.20324     2.90184
bi            -5920.1589  -5286.6351      0.8135    15.09192     3.08114
q              -929.0654   -854.3130      0.0960     2.24957     2.67073
H2O            -334.4483   -237.5565      0.1244     1.71607     1.04978
sph           -2672.0846  -2448.8597      0.2866     5.54835     3.53330

sys           -650.76109  -562.74631     0.11301     1.94444     2.15371

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000210990     4.58440 0.000967264    0.053019   -6452.91203866    -44.94455407    -6452.9120    -44.9446
      alm        0.167065     1.14441    0.191190     0.55326   -5490.20863188    -10.71313666    -5490.2086    -10.7131
      spss     6.57313e-5    0.990819  6.51278e-5    0.040541   -5912.68245157    -62.41539240    -5912.6825    -62.4154
      gr        0.0410006     1.24033   0.0508544     0.34639   -6788.48356095    -19.28822789    -6788.4836    -19.2882
      kho      9.84405e-9     1.58523  1.56051e-8   0.0067842   -5595.80297312   -116.39587025    -5595.8030   -116.3959

ep    cz         0.935697     1.00063    0.936287     0.93660   -7068.22164646      0.42628595    -7068.2216     -0.4263
      ep        0.0633349     1.14492   0.0725131    0.062428   -6658.82834928    -16.99081915    -6658.8283    -16.9908
      fep      6.14021e-5     1.54358  9.47791e-5  0.00096854   -6223.00451204    -59.98591968    -6223.0045    -59.9859

mu    mu         0.659299    0.946788    0.624216     0.66415   -6131.60081905     -3.05148794    -6131.6008     -3.0515
      cel       0.0429384     1.76779   0.0759062     0.13308   -5989.75959218    -16.69470113    -5989.7596    -16.6947
      fcel      0.0264414     1.76779   0.0467430    0.081949   -5654.30866266    -19.83409951    -5654.3087    -19.8341
      pa        0.0874806     10.8563    0.949715     0.11674   -6096.13555727      0.33407806    -6096.1356     -0.3341
      mat     0.000422481     205.860   0.0869718   0.0034653   -6384.64607297    -15.81352382    -6384.6461    -15.8135
      fmu     0.000408793     1.03842 0.000424500  0.00061966   -5691.54628628    -50.27725586    -5691.5463    -50.2773

pa    mu        0.0331560     18.8254    0.624175    0.030081   -6131.60081905     -3.05191314    -6131.6008     -3.0519
      cel      1.54262e-5     4919.60   0.0758908   0.0019336   -5989.75959218    -16.69601952    -5989.7596    -16.6960
      fcel     9.49945e-6     4919.60   0.0467335   0.0011907   -5654.30866266    -19.83541790    -5654.3087    -19.8354
      pa         0.939490     1.01094    0.949768     0.94291   -6096.13555727      0.33371567    -6096.1356     -0.3337
      mat      0.00618364     14.0658   0.0869778    0.023818   -6384.64607297    -15.81307712    -6384.6461    -15.8131
      fmu      2.35518e-6     180.217 0.000424444   7.1028e-5   -5691.54628628    -50.27811284    -5691.5463    -50.2781

bi    phl       0.0868914     1.73322    0.150602     0.32716   -6391.82889703    -12.25828175    -6391.8289    -12.2583
      annm       0.100397     1.56640    0.157262     0.44932   -5395.17447969    -11.97808885    -5395.1745    -11.9781
      obi        0.150394     1.38359    0.208084     0.11693   -6061.61075792    -10.16485226    -6061.6108    -10.1649
      east     0.00299020     3.84649   0.0115018    0.041248   -6503.37206487    -28.91337016    -6503.3721    -28.9134
      tbi      7.18042e-5     41.8503  0.00300503    0.061962   -6345.05070623    -37.60445794    -6345.0507    -37.6045
      fbi     0.000190878     3.09408 0.000590590   0.0026330   -6091.31753210    -48.13908034    -6091.3175    -48.1391
      mmbi    3.70564e-10     2.01928 7.48274e-10  0.00075004   -5745.26389699   -136.06481318    -5745.2639   -136.0648

q                                                               -929.0654
H2O                                                             -334.4483
sph                                                            -2672.0846

===========================================================

g ep mu pa bi q H2O sph  {12.4750, 508.555}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90165   0.34837   0.04061   0.00678
ep        f(ep)     Q(ep)
        0.03159   0.03063
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.38263   0.78610   0.00062   0.11848   0.00355
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.38263   0.99680   0.00007   0.94202   0.02412
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50697   0.00077   0.04207   0.00264   0.06291   0.17087

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06009   0.55093   0.04061   0.34837   0.99322   0.00678
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00096   0.99904   0.06223   0.93777
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.87796   0.11848   0.00355   0.13205   0.08184   0.78610   0.99938   0.00062   0.60517   0.39483
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03386   0.94202   0.02412   0.00198   0.00123   0.99680   0.99993   0.00007   0.48954   0.51046
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.32646   0.00077   0.56516   0.00264   0.06291   0.04207   0.54921   0.00077   0.45002   0.47765   0.52235   0.93709   0.06291

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993217    1.045103    0.180281    1.666354           0           0           0    0.121828    0.006783
ep        0.500000           3    1.468406           2           0    0.063189           0           0           0           0    0.031594
mu        1.000000    3.210343    1.287571    0.003553    0.132054    0.082461    0.438982    0.059242           0           0    0.000309
pa               1    2.979081    1.508822    0.024120    0.001977    0.001297    0.016928    0.471012           0           0    0.000036
bi        0.937090    2.955294    0.543386           0    1.424888    1.467836    0.500000           0    0.062910    0.002302    0.001321
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02505140              0.09042270  0.13376436  0.10438425  0.19470371  0.44530718  0.00636640

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13972625  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6032.5338  -5458.3953      0.7345    11.94242     3.98463
ep            -7046.3420  -6485.5664      0.7174    13.68748     3.33277
mu            -6078.6765  -5533.8327      0.6970    13.93422     2.86093
pa            -6106.6134  -5582.4838      0.6705    13.20635     2.90127
bi            -5922.9763  -5285.5474      0.8154    15.09403     3.08093
q              -929.4160   -854.1800      0.0962     2.25005     2.67016
H2O            -334.8649   -237.4133      0.1247     1.71893     1.04804
sph           -2673.0947  -2448.4723      0.2873     5.54881     3.53301

sys           -651.15172  -562.60020     0.11328     1.94602     2.15196

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000214079     4.57922 0.000980315    0.053311   -6455.18815016    -45.02550628    -6455.1882    -45.0255
      alm        0.164959     1.14480    0.188845     0.55093   -5492.75285282    -10.83340141    -5492.7529    -10.8334
      spss     6.60641e-5    0.990136  6.54125e-5    0.040609   -5915.19462620    -62.62044178    -5915.1946    -62.6204
      gr        0.0417063     1.23717   0.0515978     0.34837   -6790.76607314    -19.26603358    -6790.7661    -19.2660
      kho      9.98428e-9     1.56625  1.56379e-8   0.0067829   -5598.32439779   -116.81747785    -5598.3244   -116.8175

ep    cz         0.936871     1.00061    0.937438     0.93777   -7070.72595318      0.41989035    -7070.7260     -0.4199
      ep        0.0621686     1.14473   0.0711660    0.061268   -6661.43382944    -17.17623526    -6661.4338    -17.1762
      fep      5.97575e-5     1.54189  9.21394e-5  0.00096029   -6225.68050120    -60.39381183    -6225.6805    -60.3938

mu    mu         0.659226    0.946356    0.623863     0.66345   -6134.03220618     -3.06658183    -6134.0322     -3.0666
      cel       0.0424341     1.77486   0.0753146     0.13205   -5992.18710834    -16.80799100    -5992.1871    -16.8080
      fcel      0.0262991     1.77486   0.0466772    0.081842   -5656.86862657    -19.91741555    -5656.8686    -19.9174
      pa        0.0889645     10.6675    0.949032     0.11848   -6098.49057717      0.34000116    -6098.4906     -0.3400
      mat     0.000435168     199.809   0.0869507   0.0035533   -6386.97025726    -15.87423481    -6386.9703    -15.8742
      fmu     0.000407878     1.04117 0.000424669  0.00061834   -5694.10032999    -50.46267896    -5694.1003    -50.4627

pa    mu        0.0337305     18.4943    0.623822    0.030582   -6134.03220618     -3.06700437    -6134.0322     -3.0670
      cel      1.60372e-5     4695.29   0.0752994   0.0019767   -5992.18710834    -16.80930096    -5992.1871    -16.8093
      fcel     9.93930e-6     4695.29   0.0466678   0.0012251   -5656.86862657    -19.91872550    -5656.8686    -19.9187
      pa         0.938529     1.01125    0.949085     0.94202   -6098.49057717      0.33964168    -6098.4906     -0.3396
      mat      0.00626446     13.8810   0.0869566    0.024120   -6386.97025726    -15.87379085    -6386.9703    -15.8738
      fmu      2.42652e-6     174.989 0.000424613   7.1933e-5   -5694.10032999    -50.46353059    -5694.1003    -50.4635

bi    phl       0.0862991     1.73290    0.149548     0.32646   -6394.45208982    -12.34977699    -6394.4521    -12.3498
      annm       0.100305     1.56237    0.156714     0.45002   -5398.12913874    -12.04553915    -5398.1291    -12.0455
      obi        0.149399     1.38309    0.206633     0.11514   -6064.34443946    -10.24833262    -6064.3444    -10.2483
      east     0.00304017     3.82911   0.0116411    0.042065   -6505.96258317    -28.94321498    -6505.9626    -28.9432
      tbi      7.49492e-5     41.0570  0.00307719    0.062910   -6347.52962834    -37.59085035    -6347.5296    -37.5909
      fbi     0.000190886     3.08435 0.000588761   0.0026412   -6094.03070698    -48.33925400    -6094.0307    -48.3393
      mmbi    3.95940e-10     2.01302 7.97035e-10  0.00076732   -5748.24024356   -136.16331436    -5748.2402   -136.1633

q                                                               -929.4160
H2O                                                             -334.8649
sph                                                            -2673.0947

===========================================================

g ep mu pa bi q H2O sph  {12.4436, 511.467}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90085   0.35036   0.04068   0.00678
ep        f(ep)     Q(ep)
        0.03102   0.03007
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.38413   0.78722   0.00062   0.12024   0.00364
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.38413   0.99672   0.00007   0.94114   0.02442
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50740   0.00078   0.04289   0.00265   0.06386   0.17005

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06038   0.54859   0.04068   0.35036   0.99322   0.00678
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00095   0.99905   0.06109   0.93891
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.87612   0.12024   0.00364   0.13105   0.08174   0.78722   0.99938   0.00062   0.60457   0.39543
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03444   0.94114   0.02442   0.00202   0.00126   0.99672   0.99993   0.00007   0.48943   0.51057
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.32575   0.00078   0.56406   0.00265   0.06386   0.04289   0.54850   0.00078   0.45071   0.47723   0.52277   0.93614   0.06386

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993218    1.051075    0.181137    1.659327           0           0           0    0.122025    0.006782
ep        0.500000    3.000000    1.468978           2           0    0.062043           0           0           0           0    0.031022
mu               1    3.209141    1.288729    0.003642    0.131047    0.082354    0.438059    0.060120           0           0    0.000309
pa        1.000000    2.978860    1.508893    0.024421    0.002021    0.001333    0.017221    0.470569           0           0    0.000036
bi        0.936136    2.954464    0.544212           0    1.422762    1.468132    0.500000           0    0.063864    0.002355    0.001325
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02496570              0.09027484  0.13374040  0.10460315  0.19477514  0.44531611  0.00632465

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13973844  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6037.9658  -5460.4178      0.7361    11.94557     3.98257
ep            -7049.3124  -6485.0354      0.7192    13.68866     3.33224
mu            -6081.2800  -5532.9994      0.6988    13.93527     2.86050
pa            -6109.0743  -5581.5319      0.6724    13.20948     2.90070
bi            -5925.8044  -5284.4643      0.8174    15.09615     3.08071
q              -929.7672   -854.0465      0.0965     2.25053     2.66959
H2O            -335.2823   -237.2725      0.1249     1.72180     1.04629
sph           -2674.1065  -2448.0842      0.2881     5.54927     3.53271

sys           -651.54303  -562.45494     0.11354     1.94761     2.15021

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000217142     4.57420 0.000993253    0.053597   -6457.46859265    -45.10771582    -6457.4686    -45.1077
      alm        0.162865     1.14520    0.186513     0.54859   -5495.30160184    -10.95481755    -5495.3016    -10.9548
      spss     6.63858e-5    0.989466  6.56865e-5    0.040675   -5917.71119755    -62.82646174    -5917.7112    -62.8265
      gr        0.0424254     1.23403   0.0523540     0.35036   -6793.05285807    -19.24288450    -6793.0529    -19.2429
      kho      1.01239e-8     1.54762  1.56680e-8   0.0067818   -5600.85027507   -117.24015255    -5600.8503   -117.2402

ep    cz         0.938015     1.00058    0.938560     0.93891   -7073.23472565      0.41365122    -7073.2347     -0.4137
      ep        0.0610329     1.14453   0.0698538    0.060139   -6664.04391295    -17.36163594    -6664.0439    -17.3616
      fep      5.81701e-5     1.54019  8.95930e-5  0.00095219   -6228.36111105    -60.80163689    -6228.3611    -60.8016

mu    mu         0.659120    0.945939    0.623487     0.66272   -6136.46796327     -3.08193188    -6136.4680     -3.0819
      cel       0.0419386     1.78199   0.0747340     0.13105   -5994.61897238    -16.92109365    -5994.6190    -16.9211
      fcel      0.0261582     1.78199   0.0466135    0.081737   -5659.43298509    -20.00052801    -5659.4330    -20.0005
      pa        0.0904589     10.4838    0.948349     0.12024   -6100.85001657      0.34596716    -6100.8500     -0.3460
      mat     0.000448083     193.976   0.0869173   0.0036425   -6389.29882628    -15.93587824    -6389.2988    -15.9359
      fmu     0.000406951     1.04392 0.000424826  0.00061703   -5696.65880448    -50.64826311    -5696.6588    -50.6483

pa    mu        0.0343109     18.1705    0.623447    0.031088   -6136.46796327     -3.08235175    -6136.4680     -3.0824
      cel      1.66695e-5     4482.37   0.0747190   0.0020206   -5994.61897238    -16.92239522    -5994.6190    -16.9224
      fcel     1.03972e-5     4482.37   0.0466042   0.0012603   -5659.43298509    -20.00182957    -5659.4330    -20.0018
      pa         0.937562     1.01156    0.948401     0.94114   -6100.85001657      0.34561056    -6100.8500     -0.3456
      mat      0.00634467     13.7002   0.0869232    0.024421   -6389.29882628    -15.93543703    -6389.2988    -15.9354
      fmu      2.49957e-6     169.938 0.000424771   7.2845e-5   -5696.65880448    -50.64910941    -5696.6588    -50.6491

bi    phl       0.0857089     1.73260    0.148499     0.32575   -6397.07976688    -12.44168207    -6397.0798    -12.4417
      annm       0.100207     1.55842    0.156165     0.45071   -5401.08843976    -12.11333276    -5401.0884    -12.1133
      obi        0.148409     1.38260    0.205191     0.11335   -6067.08265784    -10.33220065    -6067.0827    -10.3322
      east     0.00309019     3.81193   0.0117796    0.042887   -6508.55761829    -28.97390257    -6508.5576    -28.9739
      tbi      7.82024e-5     40.2829  0.00315022    0.063864   -6350.01261564    -37.57788549    -6350.0126    -37.5779
      fbi     0.000190872     3.07474 0.000586884   0.0026490   -6096.74845950    -48.54017530    -6096.7485    -48.5402
      mmbi    4.22832e-10     2.00684 8.48557e-10  0.00078487   -5751.22112692   -136.26195186    -5751.2211   -136.2620

q                                                               -929.7672
H2O                                                             -335.2823
sph                                                            -2674.1065

===========================================================

g ep mu pa bi q H2O sph  {12.4123, 514.379}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90005   0.35236   0.04074   0.00678
ep        f(ep)     Q(ep)
        0.03046   0.02952
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.38563   0.78831   0.00062   0.12201   0.00373
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.38563   0.99664   0.00007   0.94025   0.02472
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50781   0.00080   0.04371   0.00266   0.06482   0.16925

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06066   0.54624   0.04074   0.35236   0.99322   0.00678
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00094   0.99906   0.05998   0.94002
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.87426   0.12201   0.00373   0.13005   0.08163   0.78831   0.99938   0.00062   0.60398   0.39602
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03503   0.94025   0.02472   0.00207   0.00130   0.99664   0.99993   0.00007   0.48932   0.51068
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.32504   0.00080   0.56296   0.00266   0.06482   0.04371   0.54780   0.00080   0.45140   0.47681   0.52319   0.93518   0.06482

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993219    1.057090    0.181977    1.652280           0           0           0    0.122215    0.006781
ep        0.500000           3    1.469536    2.000000           0    0.060928           0           0           0           0    0.030464
mu               1    3.207955    1.289870    0.003733    0.130055    0.082249    0.437130    0.061004           0           0    0.000308
pa               1    2.978643    1.508961    0.024719    0.002065    0.001370    0.017517    0.470124           0           0    0.000037
bi        0.935176    2.953629    0.545043           0    1.420642    1.468412    0.500000           0    0.064824    0.002408    0.001328
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02488103              0.09012765  0.13371638  0.10482108  0.19484612  0.44532521  0.00628253

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13975071  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6043.4135  -5462.4524      0.7377    11.94873     3.98050
ep            -7052.2751  -6484.4895      0.7210    13.68984     3.33171
mu            -6083.8849  -5532.1611      0.7006    13.93632     2.86007
pa            -6111.5389  -5580.5767      0.6742    13.21261     2.90013
bi            -5928.6431  -5283.3859      0.8193    15.09825     3.08050
q              -930.1191   -853.9127      0.0968     2.25101     2.66902
H2O            -335.7003   -237.1332      0.1252     1.72469     1.04454
sph           -2675.1201  -2447.6954      0.2888     5.54974     3.53242

sys           -651.93503  -562.31017     0.11381     1.94920     2.14845

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000220179     4.56933  0.00100607    0.053878   -6459.75344808    -45.19119148    -6459.7534    -45.1912
      alm        0.160783     1.14561    0.184194     0.54624   -5497.85496206    -11.07739780    -5497.8550    -11.0774
      spss     6.66960e-5    0.988809  6.59496e-5    0.040738   -5920.23225121    -63.03347549    -5920.2323    -63.0335
      gr        0.0431580     1.23090   0.0531234     0.35236   -6795.34400781    -19.21877940    -6795.3440    -19.2188
      kho      1.02629e-8     1.52932  1.56953e-8   0.0067810   -5603.38069220   -117.66389871    -5603.3807   -117.6639

ep    cz         0.939129     1.00056    0.939653     0.94002   -7075.74806439      0.40756390    -7075.7481     -0.4076
      ep        0.0599267     1.14432   0.0685754    0.059039   -6666.65870213    -17.54701516    -6666.6587    -17.5470
      fep      5.66375e-5     1.53849  8.71360e-5  0.00094422   -6231.04644617    -61.20938703    -6231.0464    -61.2094

mu    mu         0.658979    0.945540    0.623091     0.66196   -6138.90819442     -3.09753475    -6138.9082     -3.0975
      cel       0.0414515     1.78918   0.0741641     0.13005   -5997.05528813    -17.03401657    -5997.0553    -17.0340
      fcel      0.0260185     1.78918   0.0465517    0.081633   -5662.00184293    -20.08344522    -5662.0018    -20.0834
      pa        0.0919639     10.3047    0.947665     0.12201   -6103.21397296      0.35197587    -6103.2140     -0.3520
      mat     0.000461227     188.350   0.0868720   0.0037329   -6391.63187578    -15.99844194    -6391.6319    -15.9984
      fmu     0.000406012     1.04670 0.000424972  0.00061574   -5699.22181648    -50.83400273    -5699.2218    -50.8340

pa    mu        0.0348974     17.8538    0.623051    0.031598   -6138.90819442     -3.09795197    -6138.9082     -3.0980
      cel      1.73238e-5     4280.22   0.0741495   0.0020654   -5997.05528813    -17.03530977    -5997.0553    -17.0353
      fcel     1.08739e-5     4280.22   0.0465426   0.0012964   -5662.00184293    -20.08473843    -5662.0018    -20.0847
      pa         0.936590     1.01188    0.947716     0.94025   -6103.21397296      0.35162213    -6103.2140     -0.3516
      mat      0.00642425     13.5234   0.0868778    0.024719   -6391.63187578    -15.99800345    -6391.6319    -15.9980
      fmu      2.57436e-6     165.057 0.000424917   7.3764e-5   -5699.22181648    -50.83484375    -5699.2218    -50.8348

bi    phl       0.0851210     1.73232    0.147457     0.32504   -6399.71203891    -12.53399613    -6399.7120    -12.5340
      annm       0.100103     1.55452    0.155613     0.45140   -5404.05249702    -12.18147037    -5404.0525    -12.1815
      obi        0.147424     1.38211    0.203757     0.11156   -6069.82552495    -10.41645599    -6069.8255    -10.4165
      east     0.00314026     3.79496   0.0119172    0.043715   -6511.15727926    -29.00542317    -6511.1573    -29.0054
      tbi      8.15663e-5     39.5274  0.00322410    0.064824   -6352.49977525    -37.56556228    -6352.4998    -37.5656
      fbi     0.000190836     3.06525 0.000584960   0.0026566   -6099.47090132    -48.74183228    -6099.4709    -48.7418
      mmbi    4.51317e-10     2.00075 9.02971e-10  0.00080268   -5754.20665953   -136.36074113    -5754.2067   -136.3607

q                                                               -930.1191
H2O                                                             -335.7003
sph                                                            -2675.1201

===========================================================

g ep mu pa bi q H2O sph  {12.3811, 517.291}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89925   0.35438   0.04080   0.00678
ep        f(ep)     Q(ep)
        0.02992   0.02898
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.38712   0.78939   0.00061   0.12379   0.00382
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.38712   0.99656   0.00007   0.93935   0.02501
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50823   0.00082   0.04455   0.00266   0.06579   0.16845

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06093   0.54388   0.04080   0.35438   0.99322   0.00678
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00094   0.99906   0.05890   0.94110
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.87239   0.12379   0.00382   0.12908   0.08153   0.78939   0.99939   0.00061   0.60339   0.39661
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03563   0.93935   0.02501   0.00211   0.00133   0.99656   0.99993   0.00007   0.48922   0.51078
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.32433   0.00082   0.56185   0.00266   0.06579   0.04455   0.54710   0.00082   0.45208   0.47640   0.52360   0.93421   0.06579

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993220    1.063149    0.182802    1.645214           0           0           0    0.122397    0.006780
ep        0.500000           3    1.470080           2           0    0.059841           0           0           0           0    0.029920
mu               1    3.206784    1.290996    0.003825    0.129078    0.082145    0.436195    0.061893           0           0    0.000307
pa               1    2.978430    1.509025    0.025014    0.002111    0.001408    0.017816    0.469677           0           0    0.000037
bi        0.934210    2.952790    0.545878           0    1.418528    1.468674    0.500000           0    0.065790    0.002462    0.001332
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02479740              0.08998108  0.13369228  0.10503807  0.19491664  0.44533449  0.00624005

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13976305  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6048.8769  -5464.4992      0.7393    11.95191     3.97842
ep            -7055.2306  -6483.9294      0.7228    13.69104     3.33119
mu            -6086.4914  -5531.3180      0.7024    13.93736     2.85963
pa            -6114.0074  -5579.6184      0.6761    13.21575     2.89955
bi            -5931.4925  -5282.3122      0.8213    15.10035     3.08028
q              -930.4715   -853.7785      0.0970     2.25150     2.66845
H2O            -336.1191   -236.9900      0.1254     1.72758     1.04279
sph           -2676.1354  -2447.3060      0.2895     5.55020     3.53213

sys           -652.32773  -562.16348     0.11407     1.95080     2.14669

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000223186     4.56461  0.00101876    0.054153   -6462.04280088    -45.27594223    -6462.0428    -45.2759
      alm        0.158712     1.14602    0.181888     0.54388   -5500.41301919    -11.20115503    -5500.4130    -11.2012
      spss     6.69944e-5    0.988165  6.62016e-5    0.040799   -5922.75787534    -63.24150614    -5922.7579    -63.2415
      gr        0.0439045     1.22781   0.0539062     0.35438   -6797.63961723    -19.19371718    -6797.6396    -19.1937
      kho      1.04012e-8     1.51135  1.57199e-8   0.0067804   -5605.91573908   -118.08872132    -5605.9157   -118.0887

ep    cz         0.940214     1.00054    0.940719     0.94110   -7078.26607293      0.40162390    -7078.2661     -0.4016
      ep        0.0588493     1.14411   0.0673299    0.057968   -6669.27830240    -17.73236728    -6669.2783    -17.7324
      fep      5.51574e-5     1.53678  8.47648e-5  0.00093639   -6233.73661426    -61.61705503    -6233.7366    -61.6171

mu    mu         0.658805    0.945157    0.622674     0.66117   -6141.35300679     -3.11338713    -6141.3530     -3.1134
      cel       0.0409727     1.79643   0.0736047     0.12908   -5999.49616246    -17.14676752    -5999.4962    -17.1468
      fcel      0.0258801     1.79643   0.0464918    0.081531   -5664.57530787    -20.16617576    -5664.5753    -20.1662
      pa        0.0934796     10.1303    0.946980     0.12379   -6105.58254675      0.35802715    -6105.5825     -0.3580
      mat     0.000474600     182.923   0.0868150   0.0038245   -6393.96950432    -16.06191374    -6393.9695    -16.0619
      fmu     0.000405062     1.04949 0.000425107  0.00061447   -5701.78947589    -51.01989256    -5701.7895    -51.0199

pa    mu        0.0354900     17.5440    0.622635    0.032113   -6141.35300679     -3.11380173    -6141.3530     -3.1138
      cel      1.80006e-5     4088.21   0.0735903   0.0021110   -5999.49616246    -17.14805242    -5999.4962    -17.1481
      fcel     1.13699e-5     4088.21   0.0464827   0.0013334   -5664.57530787    -20.16746065    -5664.5753    -20.1675
      pa         0.935613     1.01220    0.947031     0.93935   -6105.58254675      0.35767624    -6105.5825     -0.3577
      mat      0.00650319     13.3505   0.0868208    0.025014   -6393.96950432    -16.06147795    -6393.9695    -16.0615
      fmu      2.65094e-6     160.340 0.000425053   7.4690e-5   -5701.78947589    -51.02072829    -5701.7895    -51.0207

bi    phl       0.0845354     1.73205    0.146420     0.32433   -6402.34901992    -12.62671832    -6402.3490    -12.6267
      annm      0.0999933     1.55069    0.155059     0.45208   -5407.02142818    -12.24995260    -5407.0214    -12.2500
      obi        0.146444     1.38163    0.202332     0.10977   -6072.57315601    -10.50109829    -6072.5732    -10.5011
      east     0.00319036     3.77819   0.0120538    0.044546   -6513.76167836    -29.03776687    -6513.7617    -29.0378
      tbi      8.50435e-5     38.7900  0.00329884    0.065790   -6354.99121744    -37.55387943    -6354.9912    -37.5539
      fbi     0.000190779     3.05586 0.000582993   0.0026638   -6102.19814746    -48.94421304    -6102.1981    -48.9442
      mmbi    4.81473e-10     1.99473 9.60409e-10  0.00082076   -5757.19695722   -136.45969734    -5757.1970   -136.4597

q                                                               -930.4715
H2O                                                             -336.1191
sph                                                            -2676.1354

===========================================================

g ep mu pa bi q H2O sph  {12.3499, 520.203}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89846   0.35642   0.04086   0.00678
ep        f(ep)     Q(ep)
        0.02939   0.02846
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.38860   0.79046   0.00061   0.12558   0.00392
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.38860   0.99647   0.00008   0.93846   0.02531
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50864   0.00084   0.04538   0.00267   0.06676   0.16766

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06120   0.54152   0.04086   0.35642   0.99322   0.00678
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00093   0.99907   0.05785   0.94215
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.87051   0.12558   0.00392   0.12812   0.08143   0.79046   0.99939   0.00061   0.60281   0.39719
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03624   0.93846   0.02531   0.00216   0.00137   0.99647   0.99992   0.00008   0.48911   0.51089
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.32361   0.00084   0.56074   0.00267   0.06676   0.04538   0.54641   0.00084   0.45276   0.47597   0.52403   0.93324   0.06676

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993220    1.069252    0.183610    1.638126           0           0           0    0.122571    0.006780
ep        0.500000           3    1.470609           2           0    0.058782           0           0           0           0    0.029391
mu               1    3.205627    1.292107    0.003917    0.128115    0.082043    0.435254    0.062788           0           0    0.000307
pa               1    2.978222    1.509087    0.025307    0.002157    0.001447    0.018118    0.469228           0           0    0.000038
bi        0.933238    2.951947    0.546718           0    1.416420    1.468918    0.500000           0    0.066762    0.002517    0.001335
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02471479              0.08983511  0.13366809  0.10525415  0.19498673  0.44534394  0.00619719

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13977548  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6054.3561  -5466.5584      0.7409    11.95510     3.97633
ep            -7058.1795  -6483.3555      0.7245    13.69225     3.33068
mu            -6089.0998  -5530.4702      0.7041    13.93840     2.85920
pa            -6116.4797  -5578.6569      0.6779    13.21891     2.89898
bi            -5934.3525  -5281.2433      0.8232    15.10245     3.08006
q              -930.8247   -853.6439      0.0973     2.25198     2.66787
H2O            -336.5385   -236.8506      0.1257     1.73052     1.04102
sph           -2677.1526  -2446.9160      0.2902     5.55066     3.53183

sys           -652.72115  -562.01828     0.11433     1.95241     2.14492

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000226162     4.56005  0.00103131    0.054423   -6464.33673793    -45.36197731    -6464.3367    -45.3620
      alm        0.156653     1.14645    0.179595     0.54152   -5502.97586137    -11.32610230    -5502.9759    -11.3261
      spss     6.72808e-5    0.987535  6.64422e-5    0.040857   -5925.28816066    -63.45057667    -5925.2882    -63.4506
      gr        0.0446650     1.22473   0.0547026     0.35642   -6799.93978387    -19.16769692    -6799.9398    -19.1677
      kho      1.05387e-8     1.49371  1.57417e-8   0.0067800   -5608.45550821   -118.51462602    -5608.4555   -118.5146

ep    cz         0.941272     1.00052    0.941757     0.94215   -7080.78885770      0.39582687    -7080.7889     -0.3958
      ep        0.0577996     1.14389   0.0661162    0.056925   -6671.90282213    -17.91768700    -6671.9028    -17.9177
      fep      5.37279e-5     1.53507  8.24759e-5  0.00092869   -6236.43172607    -62.02463427    -6236.4317    -62.0246

mu    mu         0.658599    0.944790    0.622237     0.66035   -6143.80251054     -3.12948579    -6143.8025     -3.1295
      cel       0.0405017     1.80376   0.0730554     0.12812   -6001.94170524    -17.25935460    -6001.9417    -17.2594
      fcel      0.0257427     1.80376   0.0464337    0.081430   -5667.15349070    -20.24872847    -5667.1535    -20.2487
      pa        0.0950061     9.96036    0.946295     0.12558   -6107.95584115      0.36412087    -6107.9558     -0.3641
      mat     0.000488204     177.685   0.0867467   0.0039174   -6396.31181325    -16.12628147    -6396.3118    -16.1263
      fmu     0.000404101     1.05229 0.000425232  0.00061320   -5704.36189568    -51.20592752    -5704.3619    -51.2059

pa    mu        0.0360887     17.2408    0.622199    0.032632   -6143.80251054     -3.12989775    -6143.8025     -3.1299
      cel      1.87007e-5     3905.80   0.0730412   0.0021574   -6001.94170524    -17.26063121    -6001.9417    -17.2606
      fcel     1.18861e-5     3905.80   0.0464247   0.0013712   -5667.15349070    -20.25000508    -5667.1535    -20.2500
      pa         0.934631     1.01253    0.946345     0.93846   -6107.95584115      0.36377276    -6107.9558     -0.3638
      mat      0.00658145     13.1814   0.0867524    0.025307   -6396.31181325    -16.12584838    -6396.3118    -16.1258
      fmu      2.72934e-6     155.781 0.000425178   7.5623e-5   -5704.36189568    -51.20675801    -5704.3619    -51.2068

bi    phl       0.0839521     1.73181    0.145389     0.32361   -6404.99082711    -12.71984787    -6404.9908    -12.7198
      annm      0.0998774     1.54693    0.154503     0.45276   -5409.99535420    -12.31878002    -5409.9954    -12.3188
      obi        0.145469     1.38116    0.200916     0.10798   -6075.32566948    -10.58612722    -6075.3257    -10.5861
      east     0.00324047     3.76163   0.0121894    0.045382   -6516.37093102    -29.07092363    -6516.3709    -29.0709
      tbi      8.86364e-5     38.0702  0.00337441    0.066762   -6357.48705554    -37.54283546    -6357.4871    -37.5428
      fbi     0.000190700     3.04659 0.000580984   0.0026707   -6104.93031616    -49.14730573    -6104.9303    -49.1473
      mmbi    5.13381e-10     1.98880  1.02101e-9  0.00083911   -5760.19213906   -136.55883541    -5760.1921   -136.5588

q                                                               -930.8247
H2O                                                             -336.5385
sph                                                            -2677.1526

===========================================================

g ep mu pa bi q H2O sph  {12.3188, 523.116}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89766   0.35847   0.04091   0.00678
ep        f(ep)     Q(ep)
        0.02888   0.02795
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39008   0.79150   0.00061   0.12738   0.00401
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39008   0.99639   0.00008   0.93756   0.02560
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50905   0.00086   0.04622   0.00268   0.06774   0.16688

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06147   0.53915   0.04091   0.35847   0.99322   0.00678
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00092   0.99908   0.05683   0.94317
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.86861   0.12738   0.00401   0.12717   0.08133   0.79150   0.99939   0.00061   0.60224   0.39776
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03685   0.93756   0.02560   0.00220   0.00141   0.99639   0.99992   0.00008   0.48901   0.51099
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.32288   0.00086   0.55962   0.00268   0.06774   0.04622   0.54572   0.00086   0.45342   0.47555   0.52445   0.93226   0.06774

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993220    1.075400    0.184403    1.631019           0           0           0    0.122737    0.006780
ep        0.500000           3    1.471125           2           0    0.057750           0           0           0           0    0.028875
mu        1.000000    3.204484    1.293204    0.004012    0.127167    0.081941    0.434306    0.063688           0           0    0.000306
pa               1    2.978018    1.509146    0.025597    0.002205    0.001487    0.018424    0.468778           0           0    0.000038
bi        0.932260    2.951100    0.547561           0    1.414318    1.469146    0.500000           0    0.067740    0.002573    0.001339
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02463320              0.08968970  0.13364383  0.10546934  0.19505640  0.44535357  0.00615397

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13978798  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6059.8514  -5468.6301      0.7425    11.95832     3.97424
ep            -7061.1222  -6482.7684      0.7263    13.69346     3.33016
mu            -6091.7102  -5529.6182      0.7059    13.93943     2.85877
pa            -6118.9560  -5577.6924      0.6798    13.22207     2.89840
bi            -5937.2233  -5280.1792      0.8252    15.10454     3.07984
q              -931.1785   -853.5090      0.0975     2.25247     2.66730
H2O            -336.9588   -236.7084      0.1259     1.73341     1.03928
sph           -2678.1716  -2446.5255      0.2909     5.55112     3.53154

sys           -653.11531  -561.87171     0.11459     1.95401     2.14317

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000229105     4.55563  0.00104372    0.054688   -6466.63534785    -45.44930614    -6466.6353    -45.4493
      alm        0.154606     1.14688    0.177316     0.53915   -5505.54357852    -11.45225279    -5505.5436    -11.4523
      spss     6.75550e-5    0.986917  6.66712e-5    0.040912   -5927.82319967    -63.66070989    -5927.8232    -63.6607
      gr        0.0454398     1.22168   0.0555128     0.35847   -6802.24460717    -19.14071791    -6802.2446    -19.1407
      kho      1.06753e-8     1.47638  1.57609e-8   0.0067798   -5611.00009396   -118.94161901    -5611.0001   -118.9416

ep    cz         0.942302     1.00050    0.942769     0.94317   -7083.31652720      0.39016859    -7083.3165     -0.3902
      ep        0.0567769     1.14366   0.0649334    0.055908   -6674.53237184    -18.10296937    -6674.5324    -18.1030
      fep      5.23468e-5     1.53335  8.02661e-5  0.00092112   -6239.13189451    -62.43211863    -6239.1319    -62.4321

mu    mu         0.658360    0.944440    0.621781     0.65951   -6146.25681795     -3.14582750    -6146.2568     -3.1458
      cel       0.0400384     1.81116   0.0725158     0.12717   -6004.39202845    -17.37178607    -6004.3920    -17.3718
      fcel      0.0256064     1.81116   0.0463772    0.081329   -5669.73650437    -20.33111238    -5669.7365    -20.3311
      pa        0.0965435     9.79464    0.945609     0.12738   -6110.33396143      0.37025694    -6110.3340     -0.3703
      mat     0.000502041     172.630   0.0866674   0.0040116   -6398.65890586    -16.19153297    -6398.6589    -16.1915
      fmu     0.000403128     1.05512 0.000425347  0.00061195   -5706.93919100    -51.39210281    -5706.9392    -51.3921

pa    mu        0.0366937     16.9441    0.621743    0.033156   -6146.25681795     -3.14623685    -6146.2568     -3.1462
      cel      1.94248e-5     3732.45   0.0725019   0.0022047   -6004.39202845    -17.37305444    -6004.3920    -17.3731
      fcel     1.24230e-5     3732.45   0.0463683   0.0014100   -5669.73650437    -20.33238075    -5669.7365    -20.3324
      pa         0.933644     1.01287    0.945658     0.93756   -6110.33396143      0.36991161    -6110.3340     -0.3699
      mat      0.00665902     13.0159   0.0866731    0.025597   -6398.65890586    -16.19110257    -6398.6589    -16.1911
      fmu      2.80958e-6     151.373 0.000425294   7.6563e-5   -5706.93919100    -51.39292806    -5706.9392    -51.3929

bi    phl       0.0833711     1.73158    0.144364     0.32288   -6407.63758000    -12.81338400    -6407.6376    -12.8134
      annm      0.0997557     1.54322    0.153945     0.45342   -5412.97439843    -12.38795311    -5412.9744    -12.3880
      obi        0.144499     1.38069    0.199508     0.10620   -6078.08318615    -10.67154243    -6078.0832    -10.6715
      east     0.00329059     3.74527   0.0123241    0.046223   -6518.98515496    -29.10488330    -6518.9852    -29.1049
      tbi      9.23477e-5     37.3675  0.00345080    0.067740   -6359.98740506    -37.53242884    -6359.9874    -37.5324
      fbi     0.000190600     3.03743 0.000578936   0.0026773   -6107.66752801    -49.35109858    -6107.6675    -49.3511
      mmbi    5.47125e-10     1.98294  1.08492e-9  0.00085773   -5763.19232649   -136.65816996    -5763.1923   -136.6582

q                                                               -931.1785
H2O                                                             -336.9588
sph                                                            -2678.1716

===========================================================

g ep mu pa bi q H2O sph  {12.2877, 526.028}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89686   0.36053   0.04097   0.00678
ep        f(ep)     Q(ep)
        0.02837   0.02746
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39154   0.79254   0.00061   0.12919   0.00411
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39154   0.99630   0.00008   0.93665   0.02588
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50946   0.00088   0.04707   0.00268   0.06872   0.16611

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06173   0.53678   0.04097   0.36053   0.99322   0.00678
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00091   0.99909   0.05583   0.94417
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.86671   0.12919   0.00411   0.12623   0.08123   0.79254   0.99939   0.00061   0.60168   0.39832
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03747   0.93665   0.02588   0.00225   0.00145   0.99630   0.99992   0.00008   0.48891   0.51109
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.32215   0.00088   0.55850   0.00268   0.06872   0.04707   0.54504   0.00088   0.45409   0.47512   0.52488   0.93128   0.06872

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993220    1.081592    0.185181    1.623892           0           0           0    0.122896    0.006780
ep        0.500000           3    1.471628           2           0    0.056745           0           0           0           0    0.028372
mu               1    3.203355    1.294287    0.004107    0.126232    0.081840    0.433353    0.064594           0           0    0.000305
pa               1    2.977818    1.509201    0.025885    0.002253    0.001527    0.018733    0.468325           0           0    0.000039
bi        0.931277    2.950249    0.548409           0    1.412223    1.469357    0.500000           0    0.068723    0.002630    0.001342
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02455261              0.08954483  0.13361948  0.10568367  0.19512565  0.44536337  0.00611039

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13980056  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6065.3627  -5470.7145      0.7441    11.96155     3.97215
ep            -7064.0591  -6482.1684      0.7281    13.69469     3.32965
mu            -6094.3229  -5528.7621      0.7077    13.94045     2.85834
pa            -6121.4364  -5576.7250      0.6816    13.22524     2.89783
bi            -5940.1049  -5279.1200      0.8271    15.10663     3.07962
q              -931.5331   -853.3738      0.0978     2.25296     2.66672
H2O            -337.3798   -236.5699      0.1261     1.73634     1.03753
sph           -2679.1926  -2446.1345      0.2916     5.55159     3.53124

sys           -653.51022  -561.72664     0.11485     1.95562     2.14140

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000232014     4.55136  0.00105598    0.054947   -6468.93872206    -45.53793839    -6468.9387    -45.5379
      alm        0.152572     1.14732    0.175049     0.53678   -5508.11626342    -11.57961993    -5508.1163    -11.5796
      spss     6.78166e-5    0.986312  6.68883e-5    0.040965   -5930.36308781    -63.87192858    -5930.3631    -63.8719
      gr        0.0462293     1.21865   0.0563371     0.36053   -6804.55418970    -19.11277955    -6804.5542    -19.1128
      kho      1.08111e-8     1.45936  1.57773e-8   0.0067799   -5613.54959368   -119.36970722    -5613.5496   -119.3697

ep    cz         0.943306     1.00048    0.943756     0.94417   -7085.84919333      0.38464498    -7085.8492     -0.3846
      ep        0.0557803     1.14342   0.0637805    0.054918   -6677.16706549    -18.28820982    -6677.1671    -18.2882
      fep      5.10122e-5     1.53163  7.81321e-5  0.00091369   -6241.83723606    -62.83950265    -6241.8372    -62.8395

mu    mu         0.658090    0.944105    0.621307     0.65863   -6148.71604479     -3.16240908    -6148.7160     -3.1624
      cel       0.0395825     1.81863   0.0719858     0.12623   -6006.84724755    -17.48407054    -6006.8472    -17.4841
      fcel      0.0254711     1.81863   0.0463224    0.081229   -5672.32446529    -20.41333681    -5672.3245    -20.4133
      pa        0.0980919     9.63303    0.944923     0.12919   -6112.71701612      0.37643528    -6112.7170     -0.3764
      mat     0.000516111     167.750   0.0865774   0.0041069   -6401.01088865    -16.25765671    -6401.0109    -16.2577
      fmu     0.000402145     1.05796 0.000425452  0.00061071   -5709.52148060    -51.57841387    -5709.5215    -51.5784

pa    mu        0.0373051     16.6537    0.621268    0.033685   -6148.71604479     -3.16281584    -6148.7160     -3.1628
      cel      2.01735e-5     3567.65   0.0719721   0.0022529   -6006.84724755    -17.48533074    -6006.8472    -17.4853
      fcel     1.29815e-5     3567.65   0.0463136   0.0014497   -5672.32446529    -20.41459701    -5672.3245    -20.4146
      pa         0.932651     1.01321    0.944971     0.93665   -6112.71701612      0.37609270    -6112.7170     -0.3761
      mat      0.00673588     12.8540   0.0865830    0.025885   -6401.01088865    -16.25722853    -6401.0109    -16.2572
      fmu      2.89172e-6     147.110 0.000425400   7.7509e-5   -5709.52148060    -51.57923392    -5709.5215    -51.5792

bi    phl       0.0827925     1.73137    0.143345     0.32215   -6410.28940182    -12.90732601    -6410.2894    -12.9073
      annm      0.0996282     1.53958    0.153385     0.45409   -5415.95868801    -12.45747234    -5415.9587    -12.4575
      obi        0.143533     1.38023    0.198109     0.10441   -6080.84583055    -10.75734360    -6080.8458    -10.7573
      east     0.00334070     3.72910   0.0124578    0.047067   -6521.60447154    -29.13963554    -6521.6045    -29.1396
      tbi      9.61798e-5     36.6815  0.00352802    0.068723   -6362.49238509    -37.52265776    -6362.4924    -37.5227
      fbi     0.000190481     3.02839 0.000576850   0.0026837   -6110.40990735    -49.55557991    -6110.4099    -49.5556
      mmbi    5.82793e-10     1.97717  1.15228e-9  0.00087662   -5766.19764474   -136.75771541    -5766.1976   -136.7577

q                                                               -931.5331
H2O                                                             -337.3798
sph                                                            -2679.1926

===========================================================

g ep mu pa bi q H2O sph  {12.2566, 528.940}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89607   0.36261   0.04102   0.00678
ep        f(ep)     Q(ep)
        0.02788   0.02698
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39300   0.79356   0.00061   0.13101   0.00420
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39300   0.99621   0.00008   0.93574   0.02617
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.50986   0.00090   0.04792   0.00269   0.06971   0.16534

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06198   0.53439   0.04102   0.36261   0.99322   0.00678
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00091   0.99909   0.05486   0.94514
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.86479   0.13101   0.00420   0.12531   0.08113   0.79356   0.99939   0.00061   0.60112   0.39888
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03809   0.93574   0.02617   0.00230   0.00149   0.99621   0.99992   0.00008   0.48881   0.51119
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.32142   0.00090   0.55737   0.00269   0.06971   0.04792   0.54436   0.00090   0.45475   0.47470   0.52530   0.93029   0.06971

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993220    1.087829    0.185942    1.616744           0           0           0    0.123046    0.006780
ep        0.500000           3    1.472117           2           0    0.055765           0           0           0           0    0.027883
mu               1    3.202237    1.295356    0.004204    0.125310    0.081740    0.432393    0.065505           0           0    0.000305
pa               1    2.977623    1.509253    0.026170    0.002302    0.001569    0.019045    0.467871           0           0    0.000039
bi        0.930288    2.949395    0.549261           0    1.410133    1.469552    0.500000           0    0.069712    0.002687    0.001345
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02447302              0.08940045  0.13359505  0.10589716  0.19519451  0.44537336  0.00606644

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13981321  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6070.8902  -5472.8117      0.7457    11.96480     3.97005
ep            -7066.9908  -6481.5561      0.7299    13.69592     3.32915
mu            -6096.9381  -5527.9022      0.7094    13.94147     2.85791
pa            -6123.9209  -5575.7549      0.6834    13.22842     2.89725
bi            -5942.9972  -5278.0659      0.8290    15.10871     3.07940
q              -931.8883   -853.2383      0.0981     2.25345     2.66614
H2O            -337.8015   -236.4273      0.1264     1.73928     1.03578
sph           -2680.2155  -2445.7431      0.2923     5.55205     3.53095

sys           -653.90589  -561.57956     0.11511     1.95724     2.13963

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000234886     4.54723  0.00106808    0.055200   -6471.24695368    -45.62788411    -6471.2470    -45.6279
      alm        0.150549     1.14777    0.172796     0.53439   -5510.69401057    -11.70821738    -5510.6940    -11.7082
      spss     6.80655e-5    0.985720  6.70935e-5    0.041015   -5932.90792229    -64.08425495    -5932.9079    -64.0843
      gr        0.0470336     1.21564   0.0571758     0.36261   -6806.86863589    -19.08388131    -6806.8686    -19.0839
      kho      1.09459e-8     1.44265  1.57910e-8   0.0067802   -5616.10410655   -119.79889817    -5616.1041   -119.7989

ep    cz         0.944285     1.00046    0.944718     0.94514   -7088.38696999      0.37925208    -7088.3870     -0.3793
      ep        0.0548090     1.14318   0.0626567    0.053952   -6679.80701913    -18.47340403    -6679.8070    -18.4734
      fep      4.97223e-5     1.52991  7.60709e-5  0.00090637   -6244.54786927    -63.24678126    -6244.5479    -63.2468

mu    mu         0.657790    0.943787    0.620813     0.65774   -6151.18030889     -3.17922743    -6151.1803     -3.1792
      cel       0.0391337     1.82617   0.0714648     0.12531   -6009.30748005    -17.59621681    -6009.3075    -17.5962
      fcel      0.0253366     1.82617   0.0462690    0.081131   -5674.91749198    -20.49541123    -5674.9175    -20.4954
      pa        0.0996516     9.47537    0.944236     0.13101   -6115.10511576      0.38265584    -6115.1051     -0.3827
      mat     0.000530415     163.036   0.0864770   0.0042035   -6403.36787004    -16.32463909    -6403.3679    -16.3246
      fmu     0.000401152     1.06082 0.000425549  0.00060948   -5712.10888532    -51.76485632    -5712.1089    -51.7649

pa    mu        0.0379229     16.3694    0.620776    0.034219   -6151.18030889     -3.17963158    -6151.1803     -3.1796
      cel      2.09477e-5     3410.94   0.0714514   0.0023019   -6009.30748005    -17.59746882    -6009.3075    -17.5975
      fcel     1.35623e-5     3410.94   0.0462603   0.0014903   -5674.91749198    -20.49666325    -5674.9175    -20.4967
      pa         0.931653     1.01356    0.944284     0.93574   -6115.10511576      0.38231600    -6115.1051     -0.3823
      mat      0.00681200     12.6956   0.0864825    0.026170   -6403.36787004    -16.32421389    -6403.3679    -16.3242
      fmu      2.97578e-6     142.986 0.000425497   7.8463e-5   -5712.10888532    -51.76567118    -5712.1089    -51.7657

bi    phl       0.0822163     1.73118    0.142331     0.32142   -6412.94641805    -13.00167324    -6412.9464    -13.0017
      annm      0.0994951     1.53599    0.152823     0.45475   -5418.94835243    -12.52733805    -5418.9484    -12.5273
      obi        0.142573     1.37977    0.196718     0.10263   -6083.61372951    -10.84353041    -6083.6137    -10.8435
      east     0.00339080     3.71314   0.0125905    0.047916   -6524.22900436    -29.17517001    -6524.2290    -29.1752
      tbi     0.000100135     36.0116  0.00360604    0.069712   -6365.00211683    -37.51352042    -6365.0021    -37.5135
      fbi     0.000190342     3.01945 0.000574728   0.0026897   -6113.15758079    -49.76073810    -6113.1576    -49.7607
      mmbi    6.20474e-10     1.97147  1.22325e-9  0.00089578   -5769.20822133   -136.85748526    -5769.2082   -136.8575

q                                                               -931.8883
H2O                                                             -337.8015
sph                                                            -2680.2155

===========================================================

g ep mu pa bi q H2O sph  {12.2255, 531.852}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89528   0.36470   0.04106   0.00678
ep        f(ep)     Q(ep)
        0.02740   0.02651
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39444   0.79457   0.00061   0.13285   0.00430
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39444   0.99612   0.00008   0.93483   0.02645
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51026   0.00092   0.04877   0.00270   0.07071   0.16458

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06223   0.53201   0.04106   0.36470   0.99322   0.00678
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00090   0.99910   0.05391   0.94609
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.86285   0.13285   0.00430   0.12440   0.08103   0.79457   0.99939   0.00061   0.60057   0.39943
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03872   0.93483   0.02645   0.00235   0.00153   0.99612   0.99992   0.00008   0.48872   0.51128
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.32067   0.00092   0.55624   0.00270   0.07071   0.04877   0.54369   0.00092   0.45540   0.47427   0.52573   0.92929   0.07071

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993219    1.094111    0.186686    1.609577           0           0           0    0.123188    0.006781
ep        0.500000           3    1.472595           2           0    0.054810           0           0           0           0    0.027405
mu        1.000000    3.201132    1.296413    0.004301    0.124401    0.081640    0.431427    0.066423           0           0    0.000304
pa               1    2.977432    1.509302    0.026452    0.002352    0.001611    0.019360    0.467414           0           0    0.000040
bi        0.929293    2.948536    0.550116           0    1.408050    1.469729    0.500000           0    0.070707    0.002746    0.001348
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02439443              0.08925655  0.13357053  0.10610986  0.19526299  0.44538352  0.00602214

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13982594  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6076.4341  -5474.9220      0.7472    11.96806     3.96794
ep            -7069.9175  -6480.9320      0.7317    13.69716     3.32864
mu            -6099.5560  -5527.0388      0.7112    13.94249     2.85748
pa            -6126.4097  -5574.7820      0.6852    13.23161     2.89667
bi            -5945.9004  -5277.0167      0.8309    15.11080     3.07918
q              -932.2443   -853.1025      0.0983     2.25394     2.66555
H2O            -338.2240   -236.2887      0.1266     1.74223     1.03402
sph           -2681.2405  -2445.3514      0.2930     5.55251     3.53065

sys           -654.30235  -561.43414     0.11536     1.95887     2.13785

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000237720     4.54324  0.00108002    0.055448   -6473.56013838    -45.71915346    -6473.5601    -45.7192
      alm        0.148538     1.14823    0.170556     0.53201   -5513.27691701    -11.83805897    -5513.2769    -11.8381
      spss     6.83014e-5    0.985140  6.72864e-5    0.041063   -5935.45780294    -64.29771150    -5935.4578    -64.2977
      gr        0.0478531     1.21265   0.0580291     0.36470   -6809.18805297    -19.05402285    -6809.1881    -19.0540
      kho      1.10796e-8     1.42623  1.58020e-8   0.0067807   -5618.66373444   -120.22920010    -5618.6637   -120.2292

ep    cz         0.945239     1.00044    0.945656     0.94609   -7090.92997411      0.37398608    -7090.9300     -0.3740
      ep        0.0538622     1.14294   0.0615611    0.053011   -6682.45235191    -18.65854810    -6682.4524    -18.6585
      fep      4.84753e-5     1.52819  7.40797e-5  0.00089918   -6247.26391589    -63.65395010    -6247.2639    -63.6540

mu    mu         0.657459    0.943485    0.620303     0.65681   -6153.64973120     -3.19627942    -6153.6497     -3.1963
      cel       0.0386919     1.83379   0.0709528     0.12440   -6011.77284657    -17.70823397    -6011.7728    -17.7082
      fcel      0.0252030     1.83379   0.0462170    0.081032   -5677.51570608    -20.57734541    -5677.5157    -20.5773
      pa         0.101223     9.32153    0.943549     0.13285   -6117.49837378      0.38891862    -6117.4984     -0.3889
      mat     0.000544956     158.483   0.0863665   0.0043014   -6405.72996133    -16.39246926    -6405.7300    -16.3925
      fmu     0.000400148     1.06370 0.000425636  0.00060826   -5714.70152923    -51.95142608    -5714.7015    -51.9514

pa    mu        0.0385472     16.0911    0.620265    0.034757   -6153.64973120     -3.19668099    -6153.6497     -3.1967
      cel      2.17481e-5     3261.88   0.0709396   0.0023518   -6011.77284657    -17.70947784    -6011.7728    -17.7095
      fcel     1.41662e-5     3261.88   0.0462084   0.0015319   -5677.51570608    -20.57858928    -5677.5157    -20.5786
      pa         0.930649     1.01391    0.943596     0.93483   -6117.49837378      0.38858149    -6117.4984     -0.3886
      mat      0.00688737     12.5406   0.0863719    0.026452   -6405.72996133    -16.39204681    -6405.7300    -16.3920
      fmu      3.06181e-6     138.998 0.000425585   7.9424e-5   -5714.70152923    -51.95223578    -5714.7015    -51.9522

bi    phl       0.0816425     1.73101    0.141324     0.32067   -6415.60875750    -13.09642507    -6415.6088    -13.0964
      annm      0.0993564     1.53246    0.152260     0.45540   -5421.94352457    -12.59755060    -5421.9435    -12.5976
      obi        0.141617     1.37932    0.195335     0.10084   -6086.38701319    -10.93010257    -6086.3870    -10.9301
      east     0.00344087     3.69736   0.0127222    0.048768   -6526.85888029    -29.21147614    -6526.8589    -29.2115
      tbi     0.000104217     35.3575  0.00368485    0.070707   -6367.51672468    -37.50501475    -6367.5167    -37.5050
      fbi     0.000190184     3.01062 0.000572572   0.0026955   -6115.91067832    -49.96656162    -6115.9107    -49.9666
      mmbi    6.60263e-10     1.96585  1.29798e-9  0.00091521   -5772.22418716   -136.95749335    -5772.2242   -136.9575

q                                                               -932.2443
H2O                                                             -338.2240
sph                                                            -2681.2405

===========================================================

g ep mu pa bi q H2O sph  {12.1944, 534.764}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89449   0.36681   0.04111   0.00678
ep        f(ep)     Q(ep)
        0.02694   0.02605
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39588   0.79556   0.00061   0.13469   0.00440
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39588   0.99602   0.00008   0.93391   0.02673
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51065   0.00093   0.04962   0.00270   0.07171   0.16383

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06247   0.52961   0.04111   0.36681   0.99322   0.00678
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00089   0.99911   0.05299   0.94701
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.86091   0.13469   0.00440   0.12350   0.08093   0.79556   0.99939   0.00061   0.60002   0.39998
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03936   0.93391   0.02673   0.00240   0.00157   0.99602   0.99992   0.00008   0.48862   0.51138
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.31993   0.00093   0.55510   0.00270   0.07171   0.04962   0.54302   0.00093   0.45604   0.47384   0.52616   0.92829   0.07171

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993219    1.100438    0.187415    1.602389           0           0           0    0.123322    0.006781
ep        0.500000           3    1.473061           2           0    0.053879           0           0           0           0    0.026939
mu               1    3.200039    1.297458    0.004400    0.123505    0.081541    0.430454    0.067346           0           0    0.000304
pa        1.000000    2.977246    1.509348    0.026731    0.002403    0.001655    0.019679    0.466955           0           0    0.000040
bi        0.928292    2.947675    0.550975           0    1.405972    1.469891    0.500000           0    0.071708    0.002805    0.001351
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02431681              0.08911308  0.13354592  0.10632177  0.19533109  0.44539386  0.00597747

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13983873  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6081.9943  -5477.0454      0.7488    11.97135     3.96582
ep            -7072.8399  -6480.2965      0.7334    13.69841     3.32814
mu            -6102.1770  -5526.1722      0.7130    13.94350     2.85705
pa            -6128.9028  -5573.8065      0.6871    13.23482     2.89609
bi            -5948.8145  -5275.9728      0.8328    15.11287     3.07895
q              -932.6010   -852.9664      0.0986     2.25443     2.66497
H2O            -338.6474   -236.1464      0.1269     1.74519     1.03226
sph           -2682.2675  -2444.9593      0.2937     5.55298     3.53036

sys           -654.69961  -561.28696     0.11562     1.96050     2.13607

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000240513     4.53939  0.00109178    0.055690   -6475.87837335    -45.81175699    -6475.8784    -45.8118
      alm        0.146540     1.14869    0.168329     0.52961   -5515.86508139    -11.96915876    -5515.8651    -11.9692
      spss     6.85241e-5    0.984573  6.74670e-5    0.041107   -5938.01283119    -64.51232036    -5938.0128    -64.5123
      gr        0.0486880     1.20969   0.0588972     0.36681   -6811.51254985    -19.02320395    -6811.5125    -19.0232
      kho      1.12122e-8     1.41010  1.58103e-8   0.0067814   -5621.22858088   -120.66062180    -5621.2286   -120.6606

ep    cz         0.946169     1.00043    0.946571     0.94701   -7093.47832448      0.36884327    -7093.4783     -0.3688
      ep        0.0529392     1.14269   0.0604928    0.052094   -6685.10318484    -18.84363840    -6685.1032    -18.8436
      fep      4.72695e-5     1.52647  7.21556e-5  0.00089211   -6249.98549959    -64.06100518    -6249.9855    -64.0610

mu    mu         0.657099    0.943199    0.619775     0.65586   -6156.12443458     -3.21356203    -6156.1244     -3.2136
      cel       0.0382567     1.84149   0.0704493     0.12350   -6014.24346964    -17.82013130    -6014.2435    -17.8201
      fcel      0.0250701     1.84149   0.0461664    0.080934   -5680.11923115    -20.65914923    -5680.1192    -20.6591
      pa         0.102805     9.17135    0.942861     0.13469   -6119.89690548      0.39522363    -6119.8969     -0.3952
      mat     0.000559735     154.084   0.0862462   0.0044004   -6408.09727553    -16.46113504    -6408.0973    -16.4611
      fmu     0.000399133     1.06660 0.000425715  0.00060705   -5717.29953834    -52.13811926    -5717.2995    -52.1381

pa    mu        0.0391781     15.8185    0.619738    0.035301   -6156.12443458     -3.21396102    -6156.1244     -3.2140
      cel      2.25754e-5     3120.05   0.0704364   0.0024026   -6014.24346964    -17.82136706    -6014.2435    -17.8214
      fcel     1.47940e-5     3120.05   0.0461579   0.0015745   -5680.11923115    -20.66038499    -5680.1192    -20.6604
      pa         0.929640     1.01427    0.942908     0.93391   -6119.89690548      0.39488918    -6119.8969     -0.3949
      mat      0.00696197     12.3890   0.0862516    0.026731   -6408.09727553    -16.46071528    -6408.0973    -16.4607
      fmu      3.14984e-6     135.138 0.000425664   8.0392e-5   -5717.29953834    -52.13892381    -5717.2995    -52.1389

bi    phl       0.0810712     1.73085    0.140322     0.31993   -6418.27655104    -13.19158094    -6418.2766    -13.1916
      annm      0.0992122     1.52899    0.151695     0.45604   -5424.94433945    -12.66811024    -5424.9443    -12.6681
      obi        0.140666     1.37888    0.193961    0.099060   -6089.16581384    -11.01705978    -6089.1658    -11.0171
      east     0.00349091     3.68178   0.0128528    0.049624   -6529.49422824    -29.24854337    -6529.4942    -29.2485
      tbi     0.000108427     34.7186  0.00376445    0.071708   -6370.03633499    -37.49713870    -6370.0363    -37.4971
      fbi     0.000190008     3.00190 0.000570384   0.0027010   -6118.66933200    -50.17303903    -6118.6693    -50.1730
      mmbi    7.02255e-10     1.96030  1.37663e-9  0.00093491   -5775.24567524   -137.05775279    -5775.2457   -137.0578

q                                                               -932.6010
H2O                                                             -338.6474
sph                                                            -2682.2675

===========================================================

g ep mu pa bi q H2O sph  {12.1633, 537.677}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89370   0.36894   0.04115   0.00678
ep        f(ep)     Q(ep)
        0.02649   0.02560
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39732   0.79654   0.00061   0.13655   0.00450
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39732   0.99593   0.00008   0.93299   0.02701
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51105   0.00095   0.05048   0.00271   0.07271   0.16309

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06271   0.52721   0.04115   0.36894   0.99322   0.00678
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00089   0.99911   0.05209   0.94791
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.85895   0.13655   0.00450   0.12262   0.08084   0.79654   0.99939   0.00061   0.59948   0.40052
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04000   0.93299   0.02701   0.00245   0.00162   0.99593   0.99992   0.00008   0.48853   0.51147
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.31918   0.00095   0.55396   0.00271   0.07271   0.05048   0.54236   0.00095   0.45668   0.47340   0.52660   0.92729   0.07271

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993218    1.106810    0.188127    1.595181           0           0           0    0.123447    0.006782
ep        0.500000           3    1.473515           2           0    0.052970           0           0           0           0    0.026485
mu        1.000000    3.198956    1.298491    0.004501    0.122620    0.081443    0.429475    0.068275           0           0    0.000303
pa               1    2.977065    1.509391    0.027007    0.002454    0.001699    0.020001    0.466495           0           0    0.000041
bi        0.927287    2.946810    0.551837           0    1.403902    1.470037    0.500000           0    0.072713    0.002865    0.001353
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02424017              0.08897003  0.13352122  0.10653292  0.19539883  0.44540438  0.00593245

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13985161  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6087.5711  -5479.1822      0.7503    11.97465     3.96370
ep            -7075.7583  -6479.6501      0.7352    13.69967     3.32765
mu            -6104.8011  -5525.3025      0.7147    13.94450     2.85662
pa            -6131.4003  -5572.8286      0.6889    13.23803     2.89551
bi            -5951.7396  -5274.9340      0.8347    15.11495     3.07872
q              -932.9586   -852.8301      0.0988     2.25493     2.66438
H2O            -339.0715   -236.0086      0.1271     1.74817     1.03050
sph           -2683.2966  -2444.5670      0.2944     5.55344     3.53006

sys           -655.09768  -561.14168     0.11588     1.96214     2.13429

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000243266     4.53568  0.00110337    0.055927   -6478.20175889    -45.90570557    -6478.2018    -45.9057
      alm        0.144553     1.14917    0.166116     0.52721   -5518.45860547    -12.10153116    -5518.4586    -12.1015
      spss     6.87333e-5    0.984019  6.76349e-5    0.041149   -5940.57311170    -64.72810345    -5940.5731    -64.7281
      gr        0.0495386     1.20674   0.0597805     0.36894   -6813.84223889    -18.99142429    -6813.8422    -18.9914
      kho      1.13437e-8     1.39425  1.58159e-8   0.0067824   -5623.79875270   -121.09317297    -5623.7988   -121.0932

ep    cz         0.947076     1.00041    0.947463     0.94791   -7096.03214361      0.36382006    -7096.0321     -0.3638
      ep        0.0520392     1.14243   0.0594511    0.051200   -6687.75964278    -19.02867165    -6687.7596    -19.0287
      fep      4.61033e-5     1.52475  7.02960e-5  0.00088515   -6252.71274792    -64.46794318    -6252.7127    -64.4679

mu    mu         0.656710    0.942928    0.619230     0.65489   -6158.60454570     -3.23107222    -6158.6045     -3.2311
      cel       0.0378279     1.84928   0.0699541     0.12262   -6016.71947557    -17.93191840    -6016.7195    -17.9319
      fcel      0.0249379     1.84928   0.0461170    0.080837   -5682.72819456    -20.74083289    -5682.7282    -20.7408
      pa         0.104399     9.02471    0.942173     0.13655   -6122.30082974      0.40157090    -6122.3008     -0.4016
      mat     0.000574753     149.832   0.0861164   0.0045007   -6410.46992921    -16.53062454    -6410.4699    -16.5306
      fmu     0.000398109     1.06952 0.000425786  0.00060585   -5719.90304260    -52.32493223    -5719.9030    -52.3249

pa    mu        0.0398156     15.5515    0.619194    0.035849   -6158.60454570     -3.23146865    -6158.6045     -3.2315
      cel      2.34305e-5     2985.06   0.0699414   0.0024544   -6016.71947557    -17.93314610    -6016.7195    -17.9331
      fcel     1.54465e-5     2985.06   0.0461086   0.0016180   -5682.72819456    -20.74206059    -5682.7282    -20.7421
      pa         0.928626     1.01464    0.942219     0.93299   -6122.30082974      0.40123912    -6122.3008     -0.4012
      mat      0.00703579     12.2405   0.0861217    0.027007   -6410.46992921    -16.53020743    -6410.4699    -16.5302
      fmu      3.23992e-6     131.403 0.000425736   8.1366e-5   -5719.90304260    -52.32573165    -5719.9030    -52.3257

bi    phl       0.0805024     1.73071    0.139326     0.31918   -6420.94993365    -13.28714036    -6420.9499    -13.2871
      annm      0.0990625     1.52558    0.151128     0.45668   -5427.95093631    -12.73901720    -5427.9509    -12.7390
      obi        0.139719     1.37845    0.192596    0.097279   -6091.95026787    -11.10440179    -6091.9503    -11.1044
      east     0.00354090     3.66639   0.0129823    0.050484   -6532.13518114    -29.28636094    -6532.1352    -29.2864
      tbi     0.000112769     34.0947  0.00384481    0.072713   -6372.56107803    -37.48988990    -6372.5611    -37.4899
      fbi     0.000189813     2.99329 0.000568166   0.0027062   -6121.43367804    -50.38015899    -6121.4337    -50.3802
      mmbi    7.46551e-10     1.95483  1.45938e-9  0.00095489   -5778.27282277   -137.15827628    -5778.2728   -137.1583

q                                                               -932.9586
H2O                                                             -339.0715
sph                                                            -2683.2966

===========================================================

g ep mu pa bi q H2O sph  {12.1322, 540.589}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89291   0.37108   0.04119   0.00678
ep        f(ep)     Q(ep)
        0.02604   0.02516
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39874   0.79751   0.00060   0.13842   0.00460
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39874   0.99583   0.00008   0.93206   0.02728
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51143   0.00098   0.05135   0.00271   0.07372   0.16235

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06294   0.52480   0.04119   0.37108   0.99322   0.00678
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00088   0.99912   0.05121   0.94879
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.85698   0.13842   0.00460   0.12175   0.08074   0.79751   0.99940   0.00060   0.59894   0.40106
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04065   0.93206   0.02728   0.00251   0.00166   0.99583   0.99992   0.00008   0.48844   0.51156
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.31842   0.00098   0.55282   0.00271   0.07372   0.05135   0.54171   0.00098   0.45732   0.47297   0.52703   0.92628   0.07372

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993217    1.113227    0.188823    1.587952           0           0           0    0.123564    0.006783
ep        0.500000    3.000000    1.473958           2           0    0.052085           0           0           0           0    0.026042
mu               1    3.197884    1.299513    0.004602    0.121747    0.081344    0.428489    0.069210           0           0    0.000302
pa               1    2.976889    1.509430    0.027281    0.002507    0.001745    0.020327    0.466032           0           0    0.000041
bi        0.926276    2.945942    0.552703           0    1.401837    1.470166    0.500000           0    0.073724    0.002925    0.001356
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02416450              0.08882734  0.13349643  0.10674336  0.19546622  0.44541507  0.00588708

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13986455  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6093.1646  -5481.3324      0.7519    11.97797     3.96158
ep            -7078.6731  -6478.9933      0.7369    13.70094     3.32715
mu            -6107.4287  -5524.4301      0.7164    13.94550     2.85619
pa            -6133.9024  -5571.8483      0.6907    13.24126     2.89492
bi            -5954.6756  -5273.9004      0.8366    15.11702     3.07849
q              -933.3169   -852.6936      0.0991     2.25543     2.66379
H2O            -339.4965   -235.8696      0.1273     1.75116     1.02875
sph           -2684.3278  -2444.1746      0.2951     5.55391     3.52977

sys           -655.49659  -560.99579     0.11613     1.96378     2.13250

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000245974     4.53209  0.00111478    0.056158   -6480.53039620    -46.00101037    -6480.5304    -46.0010
      alm        0.142580     1.14965    0.163916     0.52480   -5521.05759194    -12.23519075    -5521.0576    -12.2352
      spss     6.89290e-5    0.983477  6.77900e-5    0.041188   -5943.13875007    -64.94508251    -5943.1388    -64.9451
      gr        0.0504052     1.20383   0.0606791     0.37108   -6816.17723340    -18.95868380    -6816.1772    -18.9587
      kho      1.14738e-8     1.37868  1.58188e-8   0.0067835   -5626.37435770   -121.52686377    -5626.3744   -121.5269

ep    cz         0.947960     1.00039    0.948334     0.94879   -7098.59155506      0.35891297    -7098.5916     -0.3589
      ep        0.0511615     1.14217   0.0584350    0.050328   -6690.42185165    -19.21364482    -6690.4219    -19.2136
      fep      4.49751e-5     1.52303  6.84983e-5  0.00087831   -6255.44578957    -64.87476114    -6255.4458    -64.8748

mu    mu         0.656292    0.942674    0.618669     0.65389   -6161.09019234     -3.24880703    -6161.0902     -3.2488
      cel       0.0374053     1.85714   0.0694670     0.12175   -6019.20099179    -18.04360499    -6019.2010    -18.0436
      fcel      0.0248062     1.85714   0.0460688    0.080739   -5685.34272484    -20.82240669    -5685.3427    -20.8224
      pa         0.106005     8.88149    0.941484     0.13842   -6124.71026650      0.40796050    -6124.7103     -0.4080
      mat     0.000590012     145.721   0.0859774   0.0046022   -6412.84803995    -16.60092586    -6412.8480    -16.6009
      fmu     0.000397074     1.07247 0.000425849  0.00060466   -5722.51217309    -52.51186151    -5722.5122    -52.5119

pa    mu        0.0404601     15.2900    0.618633    0.036403   -6161.09019234     -3.24920090    -6161.0902     -3.2492
      cel      2.43142e-5     2856.54   0.0694545   0.0025070   -6019.20099179    -18.04482466    -6019.2010    -18.0448
      fcel     1.61246e-5     2856.54   0.0460605   0.0016626   -5685.34272484    -20.82362635    -5685.3427    -20.8236
      pa         0.927606     1.01501    0.941530     0.93206   -6124.71026650      0.40763137    -6124.7103     -0.4076
      mat      0.00710880     12.0952   0.0859826    0.027281   -6412.84803995    -16.60051137    -6412.8480    -16.6005
      fmu      3.33208e-6     127.788 0.000425799   8.2348e-5   -5722.51217309    -52.51265582    -5722.5122    -52.5127

bi    phl       0.0799362     1.73059    0.138336     0.31842   -6423.62904151    -13.38310286    -6423.6290    -13.3831
      annm      0.0989075     1.52222    0.150559     0.45732   -5430.96345561    -12.81027165    -5430.9635    -12.8103
      obi        0.138778     1.37802    0.191239    0.095499   -6094.74051288    -11.19212835    -6094.7405    -11.1921
      east     0.00359083     3.65119   0.0131108    0.051347   -6534.78187314    -29.32491810    -6534.7819    -29.3249
      tbi     0.000117244     33.4852  0.00392594    0.073724   -6375.09108521    -37.48326610    -6375.0911    -37.4833
      fbi     0.000189602     2.98478 0.000565920   0.0027112   -6124.20385389    -50.58791024    -6124.2039    -50.5879
      mmbi    7.93253e-10     1.94943  1.54639e-9  0.00097514   -5781.30576815   -137.25907609    -5781.3058   -137.2591

q                                                               -933.3169
H2O                                                             -339.4965
sph                                                            -2684.3278

===========================================================

g ep mu pa bi q H2O sph  {12.1010, 543.501}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89212   0.37323   0.04122   0.00678
ep        f(ep)     Q(ep)
        0.02561   0.02474
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40016   0.79847   0.00060   0.14030   0.00471
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40016   0.99573   0.00008   0.93113   0.02755
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51182   0.00100   0.05221   0.00272   0.07474   0.16162

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06317   0.52238   0.04122   0.37323   0.99322   0.00678
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00087   0.99913   0.05035   0.94965
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.85499   0.14030   0.00471   0.12088   0.08064   0.79847   0.99940   0.00060   0.59841   0.40159
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04131   0.93113   0.02755   0.00256   0.00171   0.99573   0.99992   0.00008   0.48836   0.51164
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.31767   0.00100   0.55167   0.00272   0.07474   0.05221   0.54106   0.00100   0.45795   0.47254   0.52746   0.92526   0.07474

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993215    1.119691    0.189502    1.580704           0           0           0    0.123673    0.006785
ep        0.500000    3.000000    1.474389    2.000000           0    0.051221           0           0           0           0    0.025611
mu        1.000000    3.196821    1.300525    0.004705    0.120884    0.081245    0.427496    0.070151           0           0    0.000302
pa               1    2.976717    1.509465    0.027552    0.002561    0.001792    0.020657    0.465567           0           0    0.000042
bi        0.925259    2.945070    0.553572           0    1.399778    1.470280    0.500000           0    0.074741    0.002987    0.001358
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02408977              0.08868500  0.13347156  0.10695309  0.19553328  0.44542595  0.00584135

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13987756  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6098.7748  -5483.4964      0.7534    11.98131     3.95944
ep            -7081.5847  -6478.3264      0.7387    13.70222     3.32666
mu            -6110.0600  -5523.5553      0.7182    13.94649     2.85575
pa            -6136.4092  -5570.8659      0.6925    13.24450     2.89434
bi            -5957.6227  -5272.8723      0.8385    15.11909     3.07826
q              -933.6761   -852.5569      0.0993     2.25594     2.66320
H2O            -339.9223   -235.7299      0.1276     1.75417     1.02698
sph           -2685.3613  -2443.7819      0.2958     5.55437     3.52947

sys           -655.89636  -560.84950     0.11639     1.96543     2.13071

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000248638     4.52864  0.00112599    0.056383   -6482.86438946    -46.09768296    -6482.8644    -46.0977
      alm        0.140618     1.15013    0.161730     0.52238   -5523.66214651    -12.37015247    -5523.6621    -12.3702
      spss     6.91108e-5    0.982947  6.79322e-5    0.041224   -5945.70985500    -65.16327908    -5945.7099    -65.1633
      gr        0.0512882     1.20093   0.0615935     0.37323   -6818.51765003    -18.92498231    -6818.5177    -18.9250
      kho      1.16027e-8     1.36339  1.58190e-8   0.0067848   -5628.95550687   -121.96170524    -5628.9555   -121.9617

ep    cz         0.948823     1.00038    0.949183     0.94965   -7101.15668598      0.35411864    -7101.1567     -0.3541
      ep        0.0503056     1.14190   0.0574440    0.049478   -6693.08994104    -19.39855524    -6693.0899    -19.3986
      fep      4.38835e-5     1.52130  6.67601e-5  0.00087158   -6258.18475695    -65.28145669    -6258.1848    -65.2815

mu    mu         0.655847    0.942435    0.618093     0.65286   -6163.58150597     -3.26676351    -6163.5815     -3.2668
      cel       0.0369886     1.86510   0.0689876     0.12088   -6021.68814940    -18.15520113    -6021.6881    -18.1552
      fcel      0.0246751     1.86510   0.0460216    0.080642   -5687.96295417    -20.90388118    -5687.9630    -20.9039
      pa         0.107623     8.74156    0.940795     0.14030   -6127.12533921      0.41439254    -6127.1253     -0.4144
      mat     0.000605513     141.747   0.0858295   0.0047050   -6415.23172870    -16.67202727    -6415.2317    -16.6720
      fmu     0.000396030     1.07544 0.000425905  0.00060348   -5725.12706468    -52.69890391    -5725.1271    -52.6989

pa    mu        0.0411114     15.0337    0.618057    0.036961   -6163.58150597     -3.26715483    -6163.5815     -3.2672
      cel      2.52273e-5     2734.15   0.0689753   0.0025606   -6021.68814940    -18.15641278    -6021.6881    -18.1564
      fcel     1.68292e-5     2734.15   0.0460134   0.0017082   -5687.96295417    -20.90509284    -5687.9630    -20.9051
      pa         0.926580     1.01539    0.940840     0.93113   -6127.12533921      0.41406603    -6127.1253     -0.4141
      mat      0.00718100     11.9530   0.0858347    0.027552   -6415.23172870    -16.67161541    -6415.2317    -16.6716
      fmu      3.42637e-6     124.288 0.000425855   8.3337e-5   -5725.12706468    -52.69969313    -5725.1271    -52.6997

bi    phl       0.0793724     1.73048    0.137352     0.31767   -6426.31401475    -13.47946806    -6426.3140    -13.4795
      annm      0.0987472     1.51892    0.149989     0.45795   -5433.98204188    -12.88187370    -5433.9820    -12.8819
      obi        0.137841     1.37760    0.189890    0.093720   -6097.53669046    -11.28023924    -6097.5367    -11.2802
      east     0.00364069     3.63618   0.0132382    0.052214   -6537.43444226    -29.36420398    -6537.4344    -29.3642
      tbi     0.000121856     32.8899  0.00400781    0.074741   -6377.62649168    -37.47726476    -6377.6265    -37.4773
      fbi     0.000189373     2.97638 0.000563647   0.0027159   -6126.98000097    -50.79628163    -6126.9800    -50.7963
      mmbi    8.42468e-10     1.94411  1.63785e-9  0.00099566   -5784.34465382   -137.36016403    -5784.3447   -137.3602

q                                                               -933.6761
H2O                                                             -339.9223
sph                                                            -2685.3613

===========================================================

g ep mu pa bi q H2O sph  {12.0698, 546.413}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89134   0.37540   0.04126   0.00679
ep        f(ep)     Q(ep)
        0.02519   0.02432
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40156   0.79942   0.00060   0.14220   0.00481
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40156   0.99563   0.00008   0.93020   0.02782
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51220   0.00102   0.05308   0.00272   0.07576   0.16089

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06339   0.51995   0.04126   0.37540   0.99321   0.00679
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00086   0.99914   0.04951   0.95049
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.85299   0.14220   0.00481   0.12003   0.08054   0.79942   0.99940   0.00060   0.59788   0.40212
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04198   0.93020   0.02782   0.00262   0.00175   0.99563   0.99992   0.00008   0.48828   0.51172
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.31690   0.00102   0.55051   0.00272   0.07576   0.05308   0.54041   0.00102   0.45857   0.47210   0.52790   0.92424   0.07576

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993214    1.126200    0.190165    1.573435           0           0           0    0.123773    0.006786
ep        0.500000           3    1.474811           2           0    0.050378           0           0           0           0    0.025189
mu        1.000000    3.195768    1.301526    0.004809    0.120033    0.081147    0.426497    0.071099           0           0    0.000301
pa               1    2.976551    1.509498    0.027819    0.002615    0.001839    0.020990    0.465101           0           0    0.000042
bi        0.924238    2.944196    0.554444           0    1.397726    1.470379    0.500000           0    0.075762    0.003049    0.001360
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02401599              0.08854296  0.13344661  0.10716215  0.19560001  0.44543701  0.00579527

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13989064  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6104.4020  -5485.6742      0.7549    11.98466     3.95730
ep            -7084.4935  -6477.6499      0.7404    13.70350     3.32617
mu            -6112.6953  -5522.6783      0.7199    13.94748     2.85532
pa            -6138.9207  -5569.8813      0.6943    13.24775     2.89375
bi            -5960.5808  -5271.8495      0.8404    15.12116     3.07803
q              -934.0361   -852.4200      0.0996     2.25644     2.66260
H2O            -340.3489   -235.5884      0.1278     1.75719     1.02522
sph           -2686.3970  -2443.3893      0.2965     5.55484     3.52917

sys           -656.29700  -560.70232     0.11664     1.96709     2.12891

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000251254     4.52532  0.00113701    0.056602   -6485.20384440    -46.19573524    -6485.2038    -46.1957
      alm        0.138669     1.15063    0.159557     0.51995   -5526.27237645    -12.50643155    -5526.2724    -12.5064
      spss     6.92786e-5    0.982430  6.80613e-5    0.041258   -5948.28653679    -65.38271453    -5948.2865    -65.3827
      gr        0.0521877     1.19806   0.0625238     0.37540   -6820.86360711    -18.89031971    -6820.8636    -18.8903
      kho      1.17302e-8     1.34836  1.58164e-8   0.0067864   -5631.54231286   -122.39770905    -5631.5423   -122.3977

ep    cz         0.949664     1.00037    0.950012     0.95049   -7103.72766537      0.34943381    -7103.7277     -0.3494
      ep        0.0494706     1.14163   0.0564771    0.048648   -6695.76404246    -19.58340050    -6695.7640    -19.5834
      fep      4.28270e-5     1.51958  6.50791e-5  0.00086496   -6260.92978442    -65.68802790    -6260.9298    -65.6880

mu    mu         0.655374    0.942213    0.617501     0.65181   -6166.07861996     -3.28493878    -6166.0786     -3.2849
      cel       0.0365778     1.87315   0.0685156     0.12003   -6024.18108139    -18.26671700    -6024.1811    -18.2667
      fcel      0.0245444     1.87315   0.0459754    0.080544   -5690.58901667    -20.98526708    -5690.5890    -20.9853
      pa         0.109254     8.60480    0.940105     0.14220   -6129.54617312      0.42086712    -6129.5462     -0.4209
      mat     0.000621258     137.902   0.0856730   0.0048090   -6417.62111817    -16.74391714    -6417.6211    -16.7439
      fmu     0.000394975     1.07843 0.000425953  0.00060231   -5727.74785419    -52.88605641    -5727.7479    -52.8861

pa    mu        0.0417697     14.7826    0.617466    0.037525   -6166.07861996     -3.28532756    -6166.0786     -3.2853
      cel      2.61708e-5     2617.56   0.0685035   0.0026151   -6024.18108139    -18.26792069    -6024.1811    -18.2679
      fcel     1.75611e-5     2617.56   0.0459673   0.0017548   -5690.58901667    -20.98647076    -5690.5890    -20.9865
      pa         0.925549     1.01578    0.940150     0.93020   -6129.54617312      0.42054323    -6129.5462     -0.4205
      mat      0.00725237     11.8138   0.0856781    0.027819   -6417.62111817    -16.74350788    -6417.6211    -16.7435
      fmu      3.52283e-6     120.899 0.000425904   8.4332e-5   -5727.74785419    -52.88684056    -5727.7479    -52.8868

bi    phl       0.0788113     1.73039    0.136374     0.31690   -6429.00499555    -13.57623563    -6429.0050    -13.5762
      annm      0.0985817     1.51567    0.149418     0.45857   -5437.00684178    -12.95382344    -5437.0068    -12.9538
      obi        0.136909     1.37719    0.188550    0.091942   -6100.33894429    -11.36873428    -6100.3389    -11.3687
      east     0.00369048     3.62135   0.0133645    0.053084   -6540.09302856    -29.40420763    -6540.0930    -29.4042
      tbi     0.000126606     32.3082  0.00409042    0.075762   -6380.16743458    -37.47188332    -6380.1674    -37.4719
      fbi     0.000189128     2.96808 0.000561348   0.0027204   -6129.76226279    -51.00526213    -6129.7623    -51.0053
      mmbi    8.94305e-10     1.93885  1.73393e-9   0.0010165   -5787.38962432   -137.46155144    -5787.3896   -137.4616

q                                                               -934.0361
H2O                                                             -340.3489
sph                                                            -2686.3970

===========================================================

g ep mu pa bi q H2O sph  {12.0386, 549.325}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89055   0.37758   0.04129   0.00679
ep        f(ep)     Q(ep)
        0.02478   0.02392
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40296   0.80036   0.00060   0.14411   0.00491
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40296   0.99553   0.00009   0.92926   0.02808
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51258   0.00104   0.05396   0.00272   0.07679   0.16018

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06360   0.51752   0.04129   0.37758   0.99321   0.00679
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00086   0.99914   0.04870   0.95130
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.85098   0.14411   0.00491   0.11919   0.08045   0.80036   0.99940   0.00060   0.59736   0.40264
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04265   0.92926   0.02808   0.00267   0.00180   0.99553   0.99991   0.00009   0.48819   0.51181
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.31614   0.00104   0.54936   0.00272   0.07679   0.05396   0.53977   0.00104   0.45919   0.47166   0.52834   0.92321   0.07679

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993212    1.132755    0.190811    1.566146           0           0           0    0.123865    0.006788
ep        0.500000    3.000000    1.475222           2           0    0.049556           0           0           0           0    0.024778
mu        1.000000    3.194724    1.302519    0.004914    0.119191    0.081048    0.425490    0.072053           0           0    0.000301
pa               1    2.976389    1.509526    0.028084    0.002671    0.001888    0.021327    0.464631           0           0    0.000043
bi        0.923211    2.943319    0.555319           0    1.395680    1.470462    0.500000           0    0.076789    0.003113    0.001362
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02394314              0.08840121  0.13342158  0.10737056  0.19566643  0.44544824  0.00574884

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13990379  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6110.0462  -5487.8660      0.7565    11.98804     3.95516
ep            -7087.4000  -6476.9642      0.7422    13.70479     3.32569
mu            -6115.3347  -5521.7994      0.7216    13.94846     2.85489
pa            -6141.4371  -5568.8947      0.6961    13.25101     2.89316
bi            -5963.5501  -5270.8323      0.8422    15.12323     3.07779
q              -934.3970   -852.2830      0.0998     2.25695     2.66200
H2O            -340.7765   -235.4516      0.1281     1.76022     1.02345
sph           -2687.4350  -2442.9966      0.2972     5.55531     3.52888

sys           -656.69852  -560.55718     0.11689     1.96876     2.12711

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000253822     4.52213  0.00114782    0.056815   -6487.54886922    -46.29517952    -6487.5489    -46.2952
      alm        0.136733     1.15113    0.157398     0.51752   -5528.88839154    -12.64404357    -5528.8884    -12.6440
      spss     6.94323e-5    0.981924  6.81772e-5    0.041288   -5950.86890829    -65.60341000    -5950.8689    -65.6034
      gr        0.0531041     1.19521   0.0634703     0.37758   -6823.21522567    -18.85469586    -6823.2152    -18.8547
      kho      1.18562e-8     1.33359  1.58112e-8   0.0067881   -5634.13489093   -122.83488769    -5634.1349   -122.8349

ep    cz         0.950486     1.00035    0.950821     0.95130   -7106.30462518      0.34485533    -7106.3046     -0.3449
      ep        0.0486560     1.14135   0.0555337    0.047839   -6698.44429040    -19.76817850    -6698.4443    -19.7682
      fep      4.18043e-5     1.51786  6.34531e-5  0.00085844   -6263.68100940    -66.09447337    -6263.6810    -66.0945

mu    mu         0.654874    0.942006    0.616895     0.65074   -6168.58167071     -3.30332996    -6168.5817     -3.3033
      cel       0.0361724     1.88129   0.0680510     0.11919   -6026.67992378    -18.37816310    -6026.6799    -18.3782
      fcel      0.0244141     1.88129   0.0459301    0.080447   -5693.22104952    -21.06657533    -5693.2210    -21.0666
      pa         0.110896     8.47111    0.939415     0.14411   -6131.97289637      0.42738441    -6131.9729     -0.4274
      mat     0.000637250     134.183   0.0855081   0.0049142   -6420.01633388    -16.81658395    -6420.0163    -16.8166
      fmu     0.000393910     1.08145 0.000425995  0.00060114   -5730.37468157    -53.07331624    -5730.3747    -53.0733

pa    mu        0.0424352     14.5365    0.616860    0.038095   -6168.58167071     -3.30371621    -6168.5817     -3.3037
      cel      2.71454e-5     2506.46   0.0680391   0.0026705   -6026.67992378    -18.37935884    -6026.6799    -18.3794
      fcel     1.83215e-5     2506.46   0.0459221   0.0018024   -5693.22104952    -21.06777107    -5693.2210    -21.0678
      pa         0.924512     1.01617    0.939459     0.92926   -6131.97289637      0.42706310    -6131.9729     -0.4271
      mat      0.00732290     11.6775   0.0855132    0.028084   -6420.01633388    -16.81617730    -6420.0163    -16.8162
      fmu      3.62150e-6     117.616 0.000425946   8.5335e-5   -5730.37468157    -53.07409533    -5730.3747    -53.0741

bi    phl       0.0782527     1.73032    0.135402     0.31614   -6431.70212938    -13.67340532    -6431.7021    -13.6734
      annm      0.0984112     1.51248    0.148845     0.45919   -5440.03800532    -13.02612090    -5440.0380    -13.0261
      obi        0.135981     1.37679    0.187218    0.090165   -6103.14742136    -11.45761330    -6103.1474    -11.4576
      east     0.00374019     3.60670   0.0134897    0.053956   -6542.75777532    -29.44491803    -6542.7578    -29.4449
      tbi     0.000131499     31.7399  0.00417376    0.076789   -6382.71405415    -37.46711904    -6382.7141    -37.4671
      fbi     0.000188868     2.95989 0.000559027   0.0027246   -6132.55078618    -51.21484078    -6132.5508    -51.2148
      mmbi    9.48878e-10     1.93367  1.83482e-9   0.0010375   -5790.44082751   -137.56324918    -5790.4408   -137.5632

q                                                               -934.3970
H2O                                                             -340.7765
sph                                                            -2687.4350

===========================================================

g ep mu pa bi q H2O sph  {12.0073, 552.238}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.88977   0.37979   0.04132   0.00679
ep        f(ep)     Q(ep)
        0.02438   0.02352
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40435   0.80129   0.00060   0.14603   0.00502
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40435   0.99542   0.00009   0.92832   0.02835
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51296   0.00106   0.05483   0.00273   0.07782   0.15946

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06381   0.51509   0.04132   0.37979   0.99321   0.00679
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00085   0.99915   0.04790   0.95210
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.84895   0.14603   0.00502   0.11836   0.08035   0.80129   0.99940   0.00060   0.59684   0.40316
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04333   0.92832   0.02835   0.00273   0.00185   0.99542   0.99991   0.00009   0.48812   0.51188
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.31537   0.00106   0.54819   0.00273   0.07782   0.05483   0.53914   0.00106   0.45980   0.47122   0.52878   0.92218   0.07782

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993210    1.139356    0.191440    1.558837           0           0           0    0.123948    0.006790
ep        0.500000           3    1.475623           2           0    0.048754           0           0           0           0    0.024377
mu               1    3.193688    1.303502    0.005021    0.118360    0.080948    0.424477    0.073013           0           0    0.000300
pa        1.000000    2.976233    1.509551    0.028345    0.002727    0.001938    0.021667    0.464160           0           0    0.000043
bi        0.922179    2.942439    0.556197           0    1.393640    1.470530    0.500000           0    0.077821    0.003177    0.001364
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02387122              0.08825969  0.13339647  0.10757835  0.19573255  0.44545966  0.00570206

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13991700  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6115.7076  -5490.0720      0.7580    11.99143     3.95300
ep            -7090.3045  -6476.2698      0.7439    13.70609     3.32520
mu            -6117.9785  -5520.9188      0.7234    13.94944     2.85445
pa            -6143.9586  -5567.9063      0.6979    13.25429     2.89257
bi            -5966.5307  -5269.8207      0.8441    15.12530     3.07755
q              -934.7587   -852.1458      0.1001     2.25746     2.66140
H2O            -341.2049   -235.3107      0.1283     1.76327     1.02168
sph           -2688.4755  -2442.6039      0.2979     5.55578     3.52858

sys           -657.10096  -560.41017     0.11715     1.97043     2.12531

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000256339     4.51906  0.00115841    0.057023   -6489.89957367    -46.39602853    -6489.8996    -46.3960
      alm        0.134809     1.15164    0.155252     0.51509   -5531.51030315    -12.78300444    -5531.5103    -12.7830
      spss     6.95716e-5    0.981431  6.82797e-5    0.041316   -5953.45708402    -65.82538650    -5953.4571    -65.8254
      gr        0.0540377     1.19238   0.0644333     0.37979   -6825.57262851    -18.81811063    -6825.5726    -18.8181
      kho      1.19806e-8     1.31907  1.58033e-8   0.0067901   -5636.73335804   -123.27325429    -5636.7334   -123.2733

ep    cz         0.951287     1.00034    0.951611     0.95210   -7108.88769922      0.34038012    -7108.8877     -0.3404
      ep        0.0478612     1.14107   0.0546131    0.047050   -6701.13082129    -19.95288739    -6701.1308    -19.9529
      fep      4.08140e-5     1.51614  6.18799e-5  0.00085203   -6266.43857130    -66.50079208    -6266.4386    -66.5008

mu    mu         0.654347    0.941815    0.616274     0.64965   -6171.09079658     -3.32193424    -6171.0908     -3.3219
      cel       0.0357725     1.88953   0.0675932     0.11836   -6029.18481452    -18.48955005    -6029.1848    -18.4896
      fcel      0.0242841     1.88953   0.0458857    0.080348   -5695.85919182    -21.14781699    -5695.8592    -21.1478
      pa         0.112552     8.34038    0.938725     0.14603   -6134.40563893      0.43394458    -6134.4056     -0.4339
      mat     0.000653490     130.584   0.0853353   0.0050207   -6422.41750312    -16.89001629    -6422.4175    -16.8900
      fmu     0.000392835     1.08450 0.000426029  0.00059999   -5733.00768877    -53.26068078    -5733.0077    -53.2607

pa    mu        0.0431080     14.2953    0.616240    0.038670   -6171.09079658     -3.32231796    -6171.0908     -3.3223
      cel      2.81522e-5     2400.57   0.0675815   0.0027269   -6029.18481452    -18.49073788    -6029.1848    -18.4907
      fcel     1.91111e-5     2400.57   0.0458777   0.0018512   -5695.85919182    -21.14900482    -5695.8592    -21.1490
      pa         0.923468     1.01657    0.938768     0.92832   -6134.40563893      0.43362584    -6134.4056     -0.4336
      mat      0.00739257     11.5441   0.0853403    0.028345   -6422.41750312    -16.88961224    -6422.4175    -16.8896
      fmu      3.72244e-6     114.436 0.000425981   8.6344e-5   -5733.00768877    -53.26145484    -5733.0077    -53.2615

bi    phl       0.0776967     1.73026    0.134436     0.31537   -6434.40556379    -13.77097692    -6434.4056    -13.7710
      annm      0.0982356     1.50934    0.148271     0.45980   -5443.07568465    -13.09876607    -5443.0757    -13.0988
      obi        0.135058     1.37640    0.185894    0.088389   -6105.96227074    -11.54687616    -6105.9623    -11.5469
      east     0.00378980     3.59223   0.0136139    0.054832   -6545.42882789    -29.48632414    -6545.4288    -29.4863
      tbi     0.000136535     31.1846  0.00425780    0.077821   -6385.26649262    -37.46296919    -6385.2665    -37.4630
      fbi     0.000188592     2.95179 0.000556684   0.0027286   -6135.34572008    -51.42500675    -6135.3457    -51.4250
      mmbi     1.00630e-9     1.92856  1.94071e-9   0.0010589   -5793.49841339   -137.66526762    -5793.4984   -137.6653

q                                                               -934.7587
H2O                                                             -341.2049
sph                                                            -2688.4755

===========================================================

g ep mu pa bi q H2O sph  {11.9759, 555.150}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.88899   0.38200   0.04134   0.00679
ep        f(ep)     Q(ep)
        0.02399   0.02314
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40574   0.80221   0.00060   0.14796   0.00513
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40574   0.99531   0.00009   0.92737   0.02860
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51333   0.00108   0.05571   0.00273   0.07886   0.15876

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06402   0.51264   0.04134   0.38200   0.99321   0.00679
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00085   0.99915   0.04713   0.95287
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.84691   0.14796   0.00513   0.11754   0.08025   0.80221   0.99940   0.00060   0.59633   0.40367
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04402   0.92737   0.02860   0.00278   0.00190   0.99531   0.99991   0.00009   0.48804   0.51196
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.31459   0.00108   0.54703   0.00273   0.07886   0.05571   0.53851   0.00108   0.46041   0.47078   0.52922   0.92114   0.07886

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993208    1.146003    0.192052    1.551507           0           0           0    0.124022    0.006792
ep        0.500000    3.000000    1.476014    2.000000           0    0.047971           0           0           0           0    0.023986
mu               1    3.192659    1.304477    0.005128    0.117538    0.080849    0.423457    0.073979           0           0    0.000299
pa               1    2.976081    1.509573    0.028604    0.002784    0.001988    0.022012    0.463686           0           0    0.000044
bi        0.921142    2.941557    0.557077           0    1.391606    1.470584    0.500000           0    0.078858    0.003242    0.001366
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02380020              0.08811839  0.13337128  0.10778555  0.19579839  0.44547125  0.00565494

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13993029  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6121.3863  -5492.2925      0.7595    11.99484     3.95084
ep            -7093.2074  -6475.5670      0.7457    13.70740     3.32472
mu            -6120.6269  -5520.0369      0.7251    13.95042     2.85402
pa            -6146.4851  -5566.9162      0.6997    13.25758     2.89198
bi            -5969.5225  -5268.8148      0.8460    15.12737     3.07732
q              -935.1214   -852.0085      0.1003     2.25797     2.66079
H2O            -341.6342   -235.1739      0.1285     1.76634     1.01991
sph           -2689.5183  -2442.2114      0.2986     5.55625     3.52828

sys           -657.50434  -560.26496     0.11740     1.97211     2.12349

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000258805     4.51611  0.00116879    0.057225   -6492.25607007    -46.49829504    -6492.2561    -46.4983
      alm        0.132899     1.15216    0.153120     0.51264   -5534.13822522    -12.92333026    -5534.1382    -12.9233
      spss     6.96965e-5    0.980950  6.83688e-5    0.041341   -5956.05118110    -66.04866592    -5956.0512    -66.0487
      gr        0.0549888     1.18957   0.0654132     0.38200   -6827.93594120    -18.78056401    -6827.9359    -18.7806
      kho      1.21035e-8     1.30481  1.57927e-8   0.0067922   -5639.33783387   -123.71282251    -5639.3378   -123.7128

ep    cz         0.952069     1.00033    0.952381     0.95287   -7111.47702439      0.33600524    -7111.4770     -0.3360
      ep        0.0470855     1.14079   0.0537147    0.046280   -6703.82377470    -20.13752558    -6703.8238    -20.1375
      fep      3.98550e-5     1.51443  6.03574e-5  0.00084572   -6269.20261271    -66.90698350    -6269.2026    -66.9070

mu    mu         0.653795    0.941641    0.615640     0.64853   -6173.60613906     -3.34074878    -6173.6061     -3.3407
      cel       0.0353776     1.89787   0.0671423     0.11754   -6031.69589470    -18.60088879    -6031.6959    -18.6009
      fcel      0.0241544     1.89787   0.0458419    0.080250   -5698.50358586    -21.22900347    -5698.5036    -21.2290
      pa         0.114220     8.21250    0.938033     0.14796   -6136.84453376      0.44054790    -6136.8445     -0.4405
      mat     0.000669979     127.100   0.0851546   0.0051284   -6424.82475606    -16.96420360    -6424.8248    -16.9642
      fmu     0.000391750     1.08757 0.000426057  0.00059884   -5735.64702096    -53.44814765    -5735.6470    -53.4481

pa    mu        0.0437882     14.0587    0.615606    0.039251   -6173.60613906     -3.34113008    -6173.6061     -3.3411
      cel      2.91921e-5     2299.62   0.0671308   0.0027843   -6031.69589470    -18.60206887    -6031.6959    -18.6021
      fcel     1.99311e-5     2299.62   0.0458340   0.0019010   -5698.50358586    -21.23018355    -5698.5036    -21.2302
      pa         0.922419     1.01697    0.938076     0.92737   -6136.84453376      0.44023161    -6136.8445     -0.4402
      mat      0.00746137     11.4134   0.0851596    0.028604   -6424.82475606    -16.96380247    -6424.8248    -16.9638
      fmu      3.82568e-6     111.355 0.000426010   8.7360e-5   -5735.64702096    -53.44891667    -5735.6470    -53.4489

bi    phl       0.0771433     1.73022    0.133475     0.31459   -6437.11544972    -13.86895022    -6437.1154    -13.8690
      annm      0.0980550     1.50625    0.147695     0.46041   -5446.12003540    -13.17175899    -5446.1200    -13.1718
      obi        0.134140     1.37601    0.184578    0.086615   -6108.78364495    -11.63652274    -6108.7836    -11.6365
      east     0.00383932     3.57794   0.0137369    0.055711   -6548.10633495    -29.52841497    -6548.1063    -29.5284
      tbi     0.000141719     30.6420  0.00434254    0.078858   -6387.82489544    -37.45943071    -6387.8249    -37.4594
      fbi     0.000188301     2.94380 0.000554321   0.0027324   -6138.14721684    -51.63574913    -6138.1472    -51.6357
      mmbi     1.06670e-9     1.92351  2.05181e-9   0.0010805   -5796.56253539   -137.76761792    -5796.5625   -137.7676

q                                                               -935.1214
H2O                                                             -341.6342
sph                                                            -2689.5183

===========================================================

g ep mu pa bi q H2O sph  {11.9445, 558.062}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.88820   0.38423   0.04136   0.00679
ep        f(ep)     Q(ep)
        0.02360   0.02276
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40711   0.80312   0.00060   0.14991   0.00524
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40711   0.99521   0.00009   0.92642   0.02886
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51370   0.00110   0.05659   0.00274   0.07990   0.15806

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06422   0.51019   0.04136   0.38423   0.99321   0.00679
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00084   0.99916   0.04637   0.95363
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.84486   0.14991   0.00524   0.11672   0.08015   0.80312   0.99940   0.00060   0.59582   0.40418
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04472   0.92642   0.02886   0.00284   0.00195   0.99521   0.99991   0.00009   0.48797   0.51203
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.31381   0.00110   0.54586   0.00274   0.07990   0.05659   0.53788   0.00110   0.46102   0.47034   0.52966   0.92010   0.07990

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993206    1.152697    0.192647    1.544157           0           0           0    0.124087    0.006794
ep        0.500000    3.000000    1.476397           2           0    0.047207           0           0           0           0    0.023603
mu               1    3.191638    1.305444    0.005237    0.116725    0.080748    0.422429    0.074953           0           0    0.000299
pa               1    2.975935    1.509591    0.028859    0.002843    0.002040    0.022360    0.463210           0           0    0.000044
bi        0.920101    2.940671    0.557961           0    1.389579    1.470622    0.500000           0    0.079899    0.003307    0.001368
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02373009              0.08797726  0.13334603  0.10799218  0.19586395  0.44548303  0.00560747

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13994363  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6127.0825  -5494.5275      0.7610    11.99827     3.94868
ep            -7096.1090  -6474.8563      0.7474    13.70871     3.32424
mu            -6123.2803  -5519.1539      0.7268    13.95139     2.85358
pa            -6149.0170  -5565.9244      0.7015    13.26089     2.89139
bi            -5972.5256  -5267.8146      0.8478    15.12944     3.07707
q              -935.4851   -851.8712      0.1006     2.25849     2.66018
H2O            -342.0645   -235.0357      0.1288     1.76942     1.01813
sph           -2690.5636  -2441.8191      0.2993     5.55672     3.52798

sys           -657.90866  -560.11914     0.11765     1.97380     2.12167

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000261217     4.51329  0.00117895    0.057421   -6494.61847224    -46.60199371    -6494.6185    -46.6020
      alm        0.131000     1.15268    0.151002     0.51019   -5536.77227321    -13.06503829    -5536.7723    -13.0650
      spss     6.98067e-5    0.980481  6.84442e-5    0.041362   -5958.65131825    -66.27326570    -5958.6513    -66.2733
      gr        0.0559578     1.18679   0.0664102     0.38423   -6830.30529101    -18.74205516    -6830.3053    -18.7421
      kho      1.22246e-8     1.29079  1.57794e-8   0.0067945   -5641.94843969   -124.15360802    -5641.9484   -124.1536

ep    cz         0.952832     1.00032    0.953134     0.95363   -7114.07273934      0.33172780    -7114.0727     -0.3317
      ep        0.0463284     1.14050   0.0528377    0.045528   -6706.52329200    -20.32209191    -6706.5233    -20.3221
      fep      3.89260e-5     1.51271  5.88838e-5  0.00083951   -6271.97327809    -67.31304774    -6271.9733    -67.3130

mu    mu         0.653216    0.941483    0.614992     0.64738   -6176.12784151     -3.35977096    -6176.1278     -3.3598
      cel       0.0349878     1.90632   0.0666978     0.11672   -6034.21330726    -18.71219027    -6034.2133    -18.7122
      fcel      0.0240247     1.90632   0.0457988    0.080150   -5701.15437577    -21.31014594    -5701.1544    -21.3101
      pa         0.115902     8.08738    0.937342     0.14991   -6139.28971562      0.44719441    -6139.2897     -0.4472
      mat     0.000686721     123.728   0.0849665   0.0052373   -6427.23822459    -17.03913277    -6427.2382    -17.0391
      fmu     0.000390655     1.09068 0.000426079  0.00059769   -5738.29282524    -53.63571469    -5738.2928    -53.6357

pa    mu        0.0444759     13.8268    0.614958    0.039837   -6176.12784151     -3.36014965    -6176.1278     -3.3601
      cel      3.02661e-5     2203.34   0.0666865   0.0028426   -6034.21330726    -18.71336237    -6034.2133    -18.7134
      fcel     2.07825e-5     2203.34   0.0457910   0.0019519   -5701.15437577    -21.31131803    -5701.1544    -21.3113
      pa         0.921364     1.01739    0.937384     0.92642   -6139.28971562      0.44688075    -6139.2897     -0.4469
      mat      0.00752929     11.2854   0.0849714    0.028859   -6427.23822459    -17.03873392    -6427.2382    -17.0387
      fmu      3.93128e-6     108.370 0.000426032   8.8383e-5   -5738.29282524    -53.63647873    -5738.2928    -53.6365

bi    phl       0.0765925     1.73020    0.132520     0.31381   -6439.83194012    -13.96732542    -6439.8319    -13.9673
      annm      0.0978696     1.50321    0.147119     0.46102   -5449.17121530    -13.24509937    -5449.1712    -13.2451
      obi        0.133227     1.37563    0.183271    0.084841   -6111.61169851    -11.72655306    -6111.6117    -11.7266
      east     0.00388872     3.56383   0.0138588    0.056593   -6550.79044715    -29.57117888    -6550.7904    -29.5712
      tbi     0.000147052     30.1116  0.00442797    0.079899   -6390.38940998    -37.45650101    -6390.3894    -37.4565
      fbi     0.000187995     2.93591 0.000551938   0.0027359   -6140.95543087    -51.84705784    -6140.9554    -51.8471
      mmbi     1.13020e-9     1.91853  2.16832e-9   0.0011024   -5799.63334901   -137.87030558    -5799.6333   -137.8703

q                                                               -935.4851
H2O                                                             -342.0645
sph                                                            -2690.5636

===========================================================

g ep mu pa bi q H2O sph  {11.9129, 560.974}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.88743   0.38648   0.04138   0.00680
ep        f(ep)     Q(ep)
        0.02323   0.02240
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40848   0.80403   0.00060   0.15187   0.00535
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40848   0.99509   0.00009   0.92546   0.02911
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51407   0.00112   0.05748   0.00274   0.08095   0.15737

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06441   0.50773   0.04138   0.38648   0.99320   0.00680
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00083   0.99917   0.04563   0.95437
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.84279   0.15187   0.00535   0.11592   0.08005   0.80403   0.99940   0.00060   0.59531   0.40469
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04542   0.92546   0.02911   0.00290   0.00200   0.99509   0.99991   0.00009   0.48790   0.51210
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.31303   0.00112   0.54468   0.00274   0.08095   0.05748   0.53726   0.00112   0.46161   0.46989   0.53011   0.91905   0.08095

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993203    1.159438    0.193225    1.536787           0           0           0    0.124144    0.006797
ep        0.500000    3.000000    1.476770    2.000000           0    0.046461           0           0           0           0    0.023230
mu        1.000000    3.190624    1.306404    0.005347    0.115921    0.080647    0.421394    0.075933           0           0    0.000298
pa        1.000000    2.975794    1.509605    0.029111    0.002902    0.002093    0.022712    0.462732           0           0    0.000045
bi        0.919054    2.939784    0.558846           0    1.387557    1.470647    0.500000           0    0.080946    0.003374    0.001370
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02366086              0.08783626  0.13332072  0.10819828  0.19592924  0.44549498  0.00555965

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13995705  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6132.7963  -5496.7773      0.7625    12.00173     3.94651
ep            -7099.0098  -6474.1381      0.7491    13.71004     3.32376
mu            -6125.9388  -5518.2701      0.7285    13.95235     2.85315
pa            -6151.5542  -5564.9313      0.7033    13.26421     2.89079
bi            -5975.5401  -5266.8203      0.8497    15.13151     3.07683
q              -935.8497   -851.7338      0.1008     2.25901     2.65957
H2O            -342.4957   -234.8971      0.1290     1.77253     1.01635
sph           -2691.6115  -2441.4270      0.2999     5.55719     3.52768

sys           -658.31396  -559.97310     0.11790     1.97550     2.11985

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000263574     4.51058  0.00118887    0.057611   -6496.98689649    -46.70713762    -6496.9869    -46.7071
      alm        0.129115     1.15322    0.148898     0.50773   -5539.41256516    -13.20814510    -5539.4126    -13.2081
      spss     6.99023e-5    0.980024  6.85059e-5    0.041381   -5961.25761677    -66.49920934    -5961.2576    -66.4992
      gr        0.0569449     1.18403   0.0674246     0.38648   -6832.68080794    -18.70258432    -6832.6808    -18.7026
      kho      1.23440e-8     1.27701  1.57634e-8   0.0067970   -5644.56529948   -124.59562544    -5644.5653   -124.5956

ep    cz         0.953577     1.00031    0.953869     0.95437   -7116.67498577      0.32754503    -7116.6750     -0.3275
      ep        0.0455893     1.14021   0.0519816    0.044794   -6709.22951767    -20.50658523    -6709.2295    -20.5066
      fep      3.80259e-5     1.51100  5.74571e-5  0.00083340   -6274.75071505    -67.71898500    -6274.7507    -67.7190

mu    mu         0.652613    0.941341    0.614331     0.64622   -6178.65605039     -3.37899794    -6178.6561     -3.3790
      cel       0.0346027     1.91487   0.0662596     0.11592   -6036.73719821    -18.82346589    -6036.7372    -18.8235
      fcel      0.0238952     1.91487   0.0457562    0.080050   -5703.81170880    -21.39125628    -5703.8117    -21.3913
      pa         0.117597     7.96493    0.936650     0.15187   -6141.74132218      0.45388455    -6141.7413     -0.4539
      mat     0.000703718     120.462   0.0847711   0.0053474   -6429.65804345    -17.11479471    -6429.6580    -17.1148
      fmu     0.000389549     1.09381 0.000426094  0.00059655   -5740.94525189    -53.82337989    -5740.9453    -53.8234

pa    mu        0.0451713     13.5993    0.614298    0.040429   -6178.65605039     -3.37937413    -6178.6561     -3.3794
      cel      3.13751e-5     2111.49   0.0662484   0.0029019   -6036.73719821    -18.82463013    -6036.7372    -18.8246
      fcel     2.16664e-5     2111.49   0.0457485   0.0020039   -5703.81170880    -21.39242052    -5703.8117    -21.3924
      pa         0.920302     1.01781    0.936692     0.92546   -6141.74132218      0.45357343    -6141.7413     -0.4536
      mat      0.00759633     11.1601   0.0847760    0.029111   -6429.65804345    -17.11439842    -6429.6580    -17.1144
      fmu      4.03928e-6     105.476 0.000426048   8.9414e-5   -5740.94525189    -53.82413894    -5740.9453    -53.8241

bi    phl       0.0760444     1.73019    0.131571     0.31303   -6442.55519127    -14.06610227    -6442.5552    -14.0661
      annm      0.0976795     1.50022    0.146541     0.46161   -5452.22938547    -13.31878730    -5452.2294    -13.3188
      obi        0.132318     1.37526    0.181972    0.083068   -6114.44658934    -11.81696701    -6114.4466    -11.8170
      east     0.00393801     3.54989   0.0139795    0.057477   -6553.48131845    -29.61460508    -6553.4813    -29.6146
      tbi     0.000152537     29.5933  0.00451407    0.080946   -6392.96018676    -37.45417667    -6392.9602    -37.4542
      fbi     0.000187676     2.92812 0.000549539   0.0027392   -6143.77051995    -52.05892189    -6143.7705    -52.0589
      mmbi     1.19691e-9     1.91362  2.29044e-9   0.0011246   -5802.71101313   -137.97334303    -5802.7110   -137.9733

q                                                               -935.8497
H2O                                                             -342.4957
sph                                                            -2691.6115

===========================================================

g ep mu pa bi q H2O sph  {11.8812, 563.887}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.88665   0.38874   0.04140   0.00680
ep        f(ep)     Q(ep)
        0.02287   0.02204
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40984   0.80493   0.00060   0.15384   0.00546
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40984   0.99498   0.00009   0.92450   0.02936
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51443   0.00115   0.05836   0.00274   0.08200   0.15668

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06460   0.50527   0.04140   0.38874   0.99320   0.00680
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00083   0.99917   0.04490   0.95510
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.84070   0.15384   0.00546   0.11513   0.07995   0.80493   0.99940   0.00060   0.59481   0.40519
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04614   0.92450   0.02936   0.00296   0.00206   0.99498   0.99991   0.00009   0.48783   0.51217
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.31225   0.00115   0.54350   0.00274   0.08200   0.05836   0.53665   0.00115   0.46221   0.46945   0.53055   0.91800   0.08200

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993200    1.166225    0.193786    1.529396           0           0           0    0.124192    0.006800
ep        0.500000           3    1.477134    2.000000           0    0.045732           0           0           0           0    0.022866
mu        1.000000    3.189615    1.307357    0.005459    0.115125    0.080545    0.420351    0.076919           0           0    0.000298
pa        1.000000    2.975659    1.509616    0.029361    0.002962    0.002148    0.023069    0.462251           0           0    0.000045
bi        0.918003    2.938894    0.559735           0    1.385542    1.470657    0.500000           0    0.081997    0.003441    0.001371
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02359251              0.08769537  0.13329536  0.10840386  0.19599429  0.44550711  0.00551150

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13997052  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6138.5278  -5499.0421      0.7640    12.00520     3.94433
ep            -7101.9102  -6473.4127      0.7509    13.71137     3.32328
mu            -6128.6027  -5517.3858      0.7302    13.95331     2.85271
pa            -6154.0970  -5563.9368      0.7051    13.26755     2.89019
bi            -5978.5662  -5265.8320      0.8515    15.13358     3.07658
q              -936.2152   -851.5963      0.1011     2.25953     2.65896
H2O            -342.9279   -234.7596      0.1292     1.77564     1.01456
sph           -2692.6619  -2441.0352      0.3006     5.55766     3.52738

sys           -658.72025  -559.82755     0.11815     1.97721     2.11802

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000265874     4.50799  0.00119856    0.057796   -6499.36146101    -46.81374157    -6499.3615    -46.8137
      alm        0.127243     1.15376    0.146807     0.50527   -5542.05922093    -13.35266838    -5542.0592    -13.3527
      spss     6.99830e-5    0.979578  6.85538e-5    0.041397   -5963.87019990    -66.72651637    -5963.8702    -66.7265
      gr        0.0579505     1.18130   0.0684568     0.38874   -6835.06262404    -18.66215091    -6835.0626    -18.6622
      kho      1.24615e-8     1.26346  1.57447e-8   0.0067996   -5647.18853919   -125.03889132    -5647.1885   -125.0389

ep    cz         0.954305     1.00030    0.954587     0.95510   -7119.28390757      0.32345424    -7119.2839     -0.3235
      ep        0.0448678     1.13992   0.0511457    0.044078   -6711.94259846    -20.69100480    -6711.9426    -20.6910
      fep      3.71536e-5     1.50929  5.60756e-5  0.00082738   -6277.53507351    -68.12479615    -6277.5351    -68.1248

mu    mu         0.651984    0.941215    0.613658     0.64503   -6181.19091445     -3.39842709    -6181.1909     -3.3984
      cel       0.0342221     1.92353   0.0658274     0.11513   -6039.26771586    -18.93472711    -6039.2677    -18.9347
      fcel      0.0237657     1.92353   0.0457141    0.079949   -5706.47573451    -21.47234624    -5706.4757    -21.4723
      pa         0.119305     7.84504    0.935957     0.15384   -6144.19949330      0.46061857    -6144.1995     -0.4606
      mat     0.000720971     117.298   0.0845688   0.0054588   -6432.08434948    -17.19117813    -6432.0843    -17.1912
      fmu     0.000388433     1.09698 0.000426104  0.00059542   -5743.60445354    -54.01114146    -5743.6045    -54.0111

pa    mu        0.0458745     13.3762    0.613625    0.041028   -6181.19091445     -3.39880077    -6181.1909     -3.3988
      cel      3.25203e-5     2023.86   0.0658165   0.0029621   -6039.26771586    -18.93588354    -6039.2677    -18.9359
      fcel     2.25839e-5     2023.86   0.0457065   0.0020571   -5706.47573451    -21.47350267    -5706.4757    -21.4735
      pa         0.919234     1.01824    0.935998     0.92450   -6144.19949330      0.46030995    -6144.1995     -0.4603
      mat      0.00766247     11.0374   0.0845736    0.029361   -6432.08434948    -17.19078443    -6432.0843    -17.1908
      fmu      4.14975e-6     102.671 0.000426058   9.0451e-5   -5743.60445354    -54.01189553    -5743.6045    -54.0119

bi    phl       0.0754989     1.73020    0.130628     0.31225   -6445.28536194    -14.16528093    -6445.2854    -14.1653
      annm      0.0974847     1.49729    0.145962     0.46221   -5455.29470959    -13.39282260    -5455.2947    -13.3928
      obi        0.131414     1.37490    0.180682    0.081296   -6117.28847782    -11.90776461    -6117.2885    -11.9078
      east     0.00398718     3.53613   0.0140992    0.058364   -6556.17910525    -29.65868218    -6556.1791    -29.6587
      tbi     0.000158177     29.0866  0.00460082    0.081997   -6395.53737867    -37.45245464    -6395.5374    -37.4525
      fbi     0.000187344     2.92043 0.000547124   0.0027423   -6146.59264434    -52.27133101    -6146.5926    -52.2713
      mmbi     1.26699e-9     1.90878  2.41840e-9   0.0011470   -5805.79568915   -138.07673760    -5805.7957   -138.0767

q                                                               -936.2152
H2O                                                             -342.9279
sph                                                            -2692.6619

===========================================================

g ep mu pa bi q H2O sph  {11.8494, 566.799}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.88587   0.39102   0.04141   0.00680
ep        f(ep)     Q(ep)
        0.02251   0.02169
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41119   0.80582   0.00059   0.15583   0.00557
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41119   0.99487   0.00009   0.92354   0.02961
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51480   0.00117   0.05925   0.00275   0.08305   0.15600

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06478   0.50279   0.04141   0.39102   0.99320   0.00680
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00082   0.99918   0.04420   0.95580
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.83860   0.15583   0.00557   0.11434   0.07985   0.80582   0.99941   0.00059   0.59431   0.40569
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04686   0.92354   0.02961   0.00302   0.00211   0.99487   0.99991   0.00009   0.48776   0.51224
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.31146   0.00117   0.54232   0.00275   0.08305   0.05925   0.53604   0.00117   0.46279   0.46900   0.53100   0.91695   0.08305

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993198    1.173060    0.194329    1.521985           0           0           0    0.124231    0.006802
ep        0.500000    3.000000    1.477490           2           0    0.045021           0           0           0           0    0.022510
mu               1    3.188613    1.308304    0.005571    0.114337    0.080441    0.419301    0.077913           0           0    0.000297
pa               1    2.975528    1.509623    0.029606    0.003023    0.002203    0.023429    0.461768           0           0    0.000046
bi        0.916947    2.938002    0.560626           0    1.383533    1.470653    0.500000           0    0.083053    0.003509    0.001373
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02352502              0.08755455  0.13326995  0.10860896  0.19605909  0.44551943  0.00546301

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13998406  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6144.2772  -5501.3221      0.7655    12.00868     3.94214
ep            -7104.8104  -6472.6806      0.7526    13.71271     3.32281
mu            -6131.2722  -5516.5013      0.7319    13.95427     2.85227
pa            -6156.6454  -5562.9412      0.7068    13.27090     2.88959
bi            -5981.6037  -5264.8497      0.8533    15.13565     3.07633
q              -936.5818   -851.4588      0.1013     2.26006     2.65834
H2O            -343.3611   -234.6217      0.1295     1.77878     1.01277
sph           -2693.7150  -2440.6437      0.3013     5.55813     3.52708

sys           -659.12755  -559.68185     0.11839     1.97893     2.11618

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000268115     4.50551  0.00120800    0.057974   -6501.74228603    -46.92182053    -6501.7423    -46.9218
      alm        0.125383     1.15430    0.144730     0.50279   -5544.71236252    -13.49862607    -5544.7124    -13.4986
      spss     7.00487e-5    0.979144  6.85878e-5    0.041410   -5966.48919303    -66.95520742    -5966.4892    -66.9552
      gr        0.0589750     1.17858   0.0695070     0.39102   -6837.45087366    -18.62075447    -6837.4509    -18.6208
      kho      1.25771e-8     1.25015  1.57233e-8   0.0068025   -5649.81828698   -125.48342268    -5649.8183   -125.4834

ep    cz         0.955015     1.00029    0.955288     0.95580   -7121.89965112      0.31945280    -7121.8997     -0.3195
      ep        0.0441632     1.13962   0.0503294    0.043378   -6714.66268363    -20.87535010    -6714.6627    -20.8754
      fep      3.63081e-5     1.50759  5.47375e-5  0.00082146   -6280.32650600    -68.53048239    -6280.3265    -68.5305

mu    mu         0.651332    0.941106    0.612972     0.64382   -6183.73258500     -3.41805575    -6183.7326     -3.4181
      cel       0.0338460     1.93231   0.0654010     0.11434   -6041.80501107    -19.04598563    -6041.8050    -19.0460
      fcel      0.0236361     1.93231   0.0456724    0.079847   -5709.14660504    -21.55342783    -5709.1466    -21.5534
      pa         0.121028     7.72764    0.935263     0.15583   -6146.66437128      0.46739677    -6146.6644     -0.4674
      mat     0.000738484     114.234   0.0843598   0.0055714   -6434.51728187    -17.26827250    -6434.5173    -17.2683
      fmu     0.000387307     1.10018 0.000426107  0.00059428   -5746.27058547    -54.19899776    -5746.2706    -54.1990

pa    mu        0.0465857     13.1573    0.612940    0.041632   -6183.73258500     -3.41842695    -6183.7326     -3.4184
      cel      3.37027e-5     1940.21   0.0653903   0.0030234   -6041.80501107    -19.04713427    -6041.8050    -19.0471
      fcel     2.35361e-5     1940.21   0.0456649   0.0021114   -5709.14660504    -21.55457647    -5709.1466    -21.5546
      pa         0.918159     1.01867    0.935304     0.92354   -6146.66437128      0.46709063    -6146.6644     -0.4671
      mat      0.00772770     10.9172   0.0843645    0.029606   -6434.51728187    -17.26788172    -6434.5173    -17.2679
      fmu      4.26272e-6     99.9507 0.000426062   9.1494e-5   -5746.27058547    -54.19974687    -5746.2706    -54.1997

bi    phl       0.0749561     1.73022    0.129691     0.31146   -6448.02261365    -14.26486152    -6448.0226    -14.2649
      annm      0.0972852     1.49440    0.145383     0.46279   -5458.36735416    -13.46720513    -5458.3674    -13.4672
      obi        0.130515     1.37455    0.179399    0.079525   -6120.13752715    -11.99894591    -6120.1375    -11.9989
      east     0.00403623     3.52253   0.0142177    0.059253   -6558.88396664    -29.70339888    -6558.8840    -29.7034
      tbi     0.000163974     28.5912  0.00468823    0.083053   -6398.12114122    -37.45133163    -6398.1211    -37.4513
      fbi     0.000186998     2.91284 0.000544694   0.0027452   -6149.42196712    -52.48427490    -6149.4220    -52.4843
      mmbi     1.34055e-9     1.90400  2.55240e-9   0.0011697   -5808.88754128   -138.18049754    -5808.8875   -138.1805

q                                                               -936.5818
H2O                                                             -343.3611
sph                                                            -2693.7150

===========================================================

g ep mu pa bi q H2O sph  {11.8175, 569.711}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.88510   0.39331   0.04142   0.00681
ep        f(ep)     Q(ep)
        0.02216   0.02135
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41253   0.80670   0.00059   0.15783   0.00569
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41253   0.99475   0.00009   0.92256   0.02985
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51515   0.00119   0.06014   0.00275   0.08411   0.15533

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06495   0.50031   0.04142   0.39331   0.99319   0.00681
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00082   0.99918   0.04351   0.95649
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.83649   0.15783   0.00569   0.11356   0.07974   0.80670   0.99941   0.00059   0.59381   0.40619
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04759   0.92256   0.02985   0.00309   0.00217   0.99475   0.99991   0.00009   0.48770   0.51230
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.31067   0.00119   0.54113   0.00275   0.08411   0.06014   0.53543   0.00119   0.46338   0.46855   0.53145   0.91589   0.08411

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993195    1.179942    0.194855    1.514552           0           0           0    0.124261    0.006805
ep        0.500000           3    1.477837           2           0    0.044326           0           0           0           0    0.022163
mu        1.000000    3.187616    1.309245    0.005685    0.113557    0.080336    0.418243    0.078914           0           0    0.000297
pa        1.000000    2.975403    1.509626    0.029849    0.003086    0.002259    0.023794    0.461281           0           0    0.000046
bi        0.915887    2.937107    0.561519           0    1.381529    1.470635    0.500000           0    0.084113    0.003578    0.001374
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02345838              0.08741376  0.13324449  0.10881360  0.19612367  0.44553192  0.00541418

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13999766  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6150.0448  -5503.6175      0.7669    12.01219     3.93995
ep            -7107.7108  -6471.9420      0.7543    13.71405     3.32234
mu            -6133.9477  -5515.6169      0.7336    13.95522     2.85183
pa            -6159.1996  -5561.9446      0.7086    13.27427     2.88899
bi            -5984.6530  -5263.8735      0.8552    15.13772     3.07608
q              -936.9495   -851.3214      0.1016     2.26059     2.65771
H2O            -343.7952   -234.4850      0.1297     1.78194     1.01098
sph           -2694.7709  -2440.2528      0.3020     5.55861     3.52678

sys           -659.53590  -559.53669     0.11864     1.98066     2.11433

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000270297     4.50315  0.00121719    0.058146   -6504.12949388    -47.03138961    -6504.1295    -47.0314
      alm        0.123537     1.15486    0.142667     0.50031   -5547.37211402    -13.64603637    -5547.3721    -13.6460
      spss     7.00994e-5    0.978722  6.86078e-5    0.041420   -5969.11472370    -67.18530426    -5969.1147    -67.1853
      gr        0.0600187     1.17589   0.0705756     0.39331   -6839.84569343    -18.57839458    -6839.8457    -18.5784
      kho      1.26907e-8     1.23706  1.56992e-8   0.0068055   -5652.45467324   -125.92923698    -5652.4547   -125.9292

ep    cz         0.955709     1.00028    0.955972     0.95649   -7124.52236528      0.31553819    -7124.5224     -0.3155
      ep        0.0434751     1.13932   0.0495322    0.042695   -6717.38992501    -21.05962079    -6717.3899    -21.0596
      fep      3.54883e-5     1.50588  5.34412e-5  0.00081562   -6283.12516763    -68.93604524    -6283.1252    -68.9360

mu    mu         0.650654    0.941014    0.612275     0.64259   -6186.28121593     -3.43788126    -6186.2812     -3.4379
      cel       0.0334741     1.94121   0.0649802     0.11356   -6044.34923726    -19.15725343    -6044.3492    -19.1573
      fcel      0.0235065     1.94121   0.0456310    0.079743   -5711.82447507    -21.63451335    -5711.8245    -21.6345
      pa         0.122765     7.61265    0.934569     0.15783   -6149.13610087      0.47421949    -6149.1361     -0.4742
      mat     0.000756259     111.264   0.0841443   0.0056853   -6436.95698217    -17.34606775    -6436.9570    -17.3461
      fmu     0.000386169     1.10342 0.000426105  0.00059316   -5748.94380561    -54.38694734    -5748.9438    -54.3869

pa    mu        0.0473050     12.9424    0.612243    0.042243   -6186.28121593     -3.43825006    -6186.2812     -3.4383
      cel      3.49234e-5     1860.35   0.0649697   0.0030857   -6044.34923726    -19.15839433    -6044.3492    -19.1584
      fcel     2.45242e-5     1860.35   0.0456236   0.0021669   -5711.82447507    -21.63565424    -5711.8245    -21.6357
      pa         0.917077     1.01912    0.934610     0.92256   -6149.13610087      0.47391574    -6149.1361     -0.4739
      mat      0.00779200     10.7994   0.0841489    0.029849   -6436.95698217    -17.34568132    -6436.9570    -17.3457
      fmu      4.37825e-6     97.3128 0.000426060   9.2545e-5   -5748.94380561    -54.38769142    -5748.9438    -54.3877

bi    phl       0.0744159     1.73026    0.128759     0.31067   -6450.76711070    -14.36484417    -6450.7671    -14.3648
      annm      0.0970813     1.49156    0.144802     0.46338   -5461.44748857    -13.54193480    -5461.4475    -13.5419
      obi        0.129620     1.37421    0.178124    0.077756   -6122.99390332    -12.09051096    -6122.9939    -12.0905
      east     0.00408513     3.50910   0.0143352    0.060145   -6561.59606450    -29.74874385    -6561.5961    -29.7487
      tbi     0.000169932     28.1070  0.00477626    0.084113   -6400.71163255    -37.45080419    -6400.7116    -37.4508
      fbi     0.000186640     2.90534 0.000542251   0.0027479   -6152.25865418    -52.69774323    -6152.2587    -52.6977
      mmbi     1.41774e-9     1.89928  2.69269e-9   0.0011927   -5811.98673656   -138.28463214    -5811.9867   -138.2846

q                                                               -936.9495
H2O                                                             -343.7952
sph                                                            -2694.7709

===========================================================

g ep mu pa bi q H2O sph  {11.7855, 572.623}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.88432   0.39562   0.04143   0.00681
ep        f(ep)     Q(ep)
        0.02182   0.02101
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41387   0.80758   0.00059   0.15984   0.00580
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41387   0.99463   0.00009   0.92159   0.03009
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51551   0.00122   0.06104   0.00275   0.08518   0.15466

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06512   0.49783   0.04143   0.39562   0.99319   0.00681
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00081   0.99919   0.04284   0.95716
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.83436   0.15984   0.00580   0.11278   0.07964   0.80758   0.99941   0.00059   0.59331   0.40669
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04833   0.92159   0.03009   0.00315   0.00222   0.99463   0.99991   0.00009   0.48764   0.51236
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30987   0.00122   0.53994   0.00275   0.08518   0.06104   0.53483   0.00122   0.46396   0.46811   0.53189   0.91482   0.08518

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993191    1.186871    0.195364    1.507099           0           0           0    0.124283    0.006809
ep        0.500000           3    1.478176           2           0    0.043648           0           0           0           0    0.021824
mu               1    3.186623    1.310181    0.005800    0.112785    0.080230    0.417178    0.079922           0           0    0.000296
pa               1    2.975284    1.509625    0.030089    0.003149    0.002317    0.024163    0.460793           0           0    0.000047
bi        0.914822    2.936211    0.562414           0    1.379532    1.470603    0.500000           0    0.085178    0.003648    0.001375
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02339258              0.08727295  0.13321902  0.10901782  0.19618804  0.44554459  0.00536501

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14001132  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6155.8306  -5505.9286      0.7684    12.01572     3.93775
ep            -7110.6118  -6471.1975      0.7560    13.71541     3.32187
mu            -6136.6293  -5514.7327      0.7353    13.95617     2.85139
pa            -6161.7598  -5560.9472      0.7104    13.27765     2.88838
bi            -5987.7139  -5262.9037      0.8570    15.13980     3.07583
q              -937.3182   -851.1840      0.1018     2.26112     2.65709
H2O            -344.2304   -234.3479      0.1299     1.78511     1.00918
sph           -2695.8295  -2439.8623      0.3026     5.55908     3.52648

sys           -659.94530  -559.39146     0.11889     1.98239     2.11248

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000272417     4.50090  0.00122612    0.058313   -6506.52321021    -47.14246747    -6506.5232    -47.1425
      alm        0.121703     1.15542    0.140618     0.49783   -5550.03860288    -13.79491982    -5550.0386    -13.7949
      spss     7.01350e-5    0.978311  6.86139e-5    0.041428   -5971.74692292    -67.41681852    -5971.7469    -67.4168
      gr        0.0610820     1.17323   0.0716629     0.39562   -6842.24722365    -18.53506901    -6842.2472    -18.5351
      kho      1.28022e-8     1.22419  1.56724e-8   0.0068086   -5655.09783191   -126.37635577    -5655.0978   -126.3764

ep    cz         0.956387     1.00027    0.956642     0.95716   -7127.15220290      0.31170794    -7127.1522     -0.3117
      ep        0.0428029     1.13902   0.0487534    0.042028   -6720.12447850    -21.24381720    -6720.1245    -21.2438
      fep      3.46933e-5     1.50418  5.21851e-5  0.00080988   -6285.93121769    -69.34148750    -6285.9312    -69.3415

mu    mu         0.649953    0.940939    0.611567     0.64134   -6188.83696523     -3.45790125    -6188.8370     -3.4579
      cel       0.0331063     1.95023   0.0645648     0.11278   -6046.90055193    -19.26854225    -6046.9006    -19.2685
      fcel      0.0233766     1.95023   0.0455898    0.079638   -5714.50950347    -21.71561443    -5714.5095    -21.7156
      pa         0.124517     7.49998    0.933875     0.15984   -6151.61483071      0.48108710    -6151.6148     -0.4811
      mat     0.000774298     108.385   0.0839226   0.0058004   -6439.40359571    -17.42455169    -6439.4036    -17.4246
      fmu     0.000385021     1.10669 0.000426098  0.00059203   -5751.62427608    -54.57498924    -5751.6243    -54.5750

pa    mu        0.0480327     12.7316    0.611535    0.042860   -6188.83696523     -3.45826746    -6188.8370     -3.4583
      cel      3.61835e-5     1784.08   0.0645544   0.0031490   -6046.90055193    -19.26967538    -6046.9006    -19.2697
      fcel     2.55495e-5     1784.08   0.0455825   0.0022235   -5714.50950347    -21.71674756    -5714.5095    -21.7167
      pa         0.915988     1.01957    0.933915     0.92159   -6151.61483071      0.48078591    -6151.6148     -0.4808
      mat      0.00785540     10.6840   0.0839272    0.030089   -6439.40359571    -17.42416567    -6439.4036    -17.4242
      fmu      4.49641e-6     94.7540 0.000426053   9.3603e-5   -5751.62427608    -54.57572847    -5751.6243    -54.5757

bi    phl       0.0738784     1.73032    0.127833     0.30987   -6453.51902180    -14.46522971    -6453.5190    -14.4652
      annm      0.0968729     1.48877    0.144221     0.46396   -5464.53528670    -13.61701095    -5464.5353    -13.6170
      obi        0.128730     1.37387    0.176858    0.075987   -6125.85777677    -12.18246010    -6125.8578    -12.1825
      east     0.00413390     3.49584   0.0144515    0.061039   -6564.31556500    -29.79470556    -6564.3156    -29.7947
      tbi     0.000176052     27.6335  0.00486492    0.085178   -6403.30901501    -37.45086951    -6403.3090    -37.4509
      fbi     0.000186269     2.89793 0.000539797   0.0027504   -6155.10287585    -52.91172677    -6155.1029    -52.9117
      mmbi     1.49871e-9     1.89463  2.83949e-9   0.0012160   -5815.09344653   -138.38913762    -5815.0934   -138.3891

q                                                               -937.3182
H2O                                                             -344.2304
sph                                                            -2695.8295

===========================================================

g ep mu pa bi q H2O sph  {11.7532, 575.535}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.88355   0.39795   0.04143   0.00681
ep        f(ep)     Q(ep)
        0.02149   0.02069
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41520   0.80845   0.00059   0.16188   0.00592
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41520   0.99451   0.00009   0.92060   0.03032
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51586   0.00124   0.06194   0.00275   0.08625   0.15400

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06528   0.49533   0.04143   0.39795   0.99319   0.00681
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00080   0.99920   0.04218   0.95782
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.83221   0.16188   0.00592   0.11202   0.07953   0.80845   0.99941   0.00059   0.59282   0.40718
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04907   0.92060   0.03032   0.00321   0.00228   0.99451   0.99991   0.00009   0.48758   0.51242
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30908   0.00124   0.53875   0.00275   0.08625   0.06194   0.53423   0.00124   0.46453   0.46766   0.53234   0.91375   0.08625

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993188    1.193849    0.195855    1.499626           0           0           0    0.124295    0.006812
ep        0.500000    3.000000    1.478508           2           0    0.042984           0           0           0           0    0.021492
mu        1.000000    3.185634    1.311112    0.005917    0.112019    0.080123    0.416104    0.080938           0           0    0.000295
pa               1    2.975170    1.509620    0.030325    0.003213    0.002376    0.024537    0.460301           0           0    0.000047
bi        0.913753    2.935312    0.563312           0    1.377540    1.470559    0.500000           0    0.086247    0.003719    0.001376
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02332761              0.08713210  0.13319352  0.10922164  0.19625220  0.44555743  0.00531550

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14002503  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6161.6348  -5508.2555      0.7699    12.01927     3.93555
ep            -7113.5138  -6470.4474      0.7577    13.71677     3.32140
mu            -6139.3173  -5513.8493      0.7370    13.95712     2.85095
pa            -6164.3261  -5559.9490      0.7121    13.28105     2.88777
bi            -5990.7866  -5261.9401      0.8588    15.14188     3.07557
q              -937.6880   -851.0466      0.1021     2.26166     2.65645
H2O            -344.6667   -234.2107      0.1301     1.78831     1.00738
sph           -2696.8909  -2439.4724      0.3033     5.55956     3.52618

sys           -660.35579  -559.24618     0.11914     1.98414     2.11062

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000274474     4.49876  0.00123479    0.058473   -6508.92356062    -47.25506804    -6508.9236    -47.2551
      alm        0.119883     1.15599    0.138583     0.49533   -5552.71195651    -13.94529427    -5552.7120    -13.9453
      spss     7.01554e-5    0.977912  6.86058e-5    0.041432   -5974.38592162    -67.64977959    -5974.3859    -67.6498
      gr        0.0621651     1.17058   0.0727694     0.39795   -6844.65560454    -18.49077839    -6844.6556    -18.4908
      kho      1.29116e-8     1.21154  1.56429e-8   0.0068119   -5657.74789687   -126.82479572    -5657.7479   -126.8248

ep    cz         0.957049     1.00026    0.957295     0.95782   -7129.78931677      0.30795968    -7129.7893     -0.3080
      ep        0.0421463     1.13872   0.0479927    0.041376   -6722.86649992    -21.42793914    -6722.8665    -21.4279
      fep      3.39221e-5     1.50249  5.09677e-5  0.00080422   -6288.74481536    -69.74681084    -6288.7448    -69.7468

mu    mu         0.649229    0.940881    0.610847     0.64007   -6191.39999085     -3.47811295    -6191.4000     -3.4781
      cel       0.0327423     1.95938   0.0641546     0.11202   -6049.45911254    -19.37986478    -6049.4591    -19.3799
      fcel      0.0232465     1.95938   0.0455487    0.079532   -5717.20184898    -21.79674437    -5717.2018    -21.7967
      pa         0.126284     7.38955    0.933179     0.16188   -6154.10070941      0.48799998    -6154.1007     -0.4880
      mat     0.000792605     105.595   0.0836949   0.0059167   -6441.85726774    -17.50371656    -6441.8573    -17.5037
      fmu     0.000383862     1.10999 0.000426084  0.00059091   -5754.31215898    -54.76312208    -5754.3122    -54.7631

pa    mu        0.0487689     12.5247    0.610816    0.043484   -6191.39999085     -3.47847668    -6191.4000     -3.4785
      cel      3.74843e-5     1711.23   0.0641444   0.0032133   -6049.45911254    -19.38099019    -6049.4591    -19.3810
      fcel     2.66133e-5     1711.23   0.0455415   0.0022814   -5717.20184898    -21.79786978    -5717.2018    -21.7979
      pa         0.914893     1.02003    0.933219     0.92060   -6154.10070941      0.48770124    -6154.1007     -0.4877
      mat      0.00791785     10.5710   0.0836995    0.030325   -6441.85726774    -17.50333310    -6441.8573    -17.5033
      fmu      4.61724e-6     92.2717 0.000426040   9.4667e-5   -5754.31215898    -54.76385639    -5754.3122    -54.7639

bi    phl       0.0733436     1.73039    0.126913     0.30908   -6456.27851565    -14.56601793    -6456.2785    -14.5660
      annm      0.0966602     1.48602    0.143639     0.46453   -5467.63092243    -13.69243391    -5467.6309    -13.6924
      obi        0.127844     1.37355    0.175600    0.074219   -6128.72931791    -12.27479329    -6128.7293    -12.2748
      east     0.00418253     3.48274   0.0145667    0.061935   -6567.04263434    -29.84127274    -6567.0426    -29.8413
      tbi     0.000182337     27.1705  0.00495418    0.086247   -6405.91345091    -37.45152344    -6405.9135    -37.4515
      fbi     0.000185888     2.89063 0.000537332   0.0027526   -6157.95480246    -53.12621468    -6157.9548    -53.1262
      mmbi     1.58359e-9     1.89004  2.99303e-9   0.0012396   -5818.20784268   -138.49403190    -5818.2078   -138.4940

q                                                               -937.6880
H2O                                                             -344.6667
sph                                                            -2696.8909

===========================================================

g ep mu pa bi q H2O sph  {11.7209, 578.448}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.88278   0.40029   0.04143   0.00682
ep        f(ep)     Q(ep)
        0.02117   0.02037
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41652   0.80932   0.00059   0.16392   0.00603
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41652   0.99438   0.00010   0.91961   0.03056
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51621   0.00126   0.06283   0.00275   0.08732   0.15334

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06544   0.49283   0.04143   0.40029   0.99318   0.00682
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00080   0.99920   0.04154   0.95846
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.83004   0.16392   0.00603   0.11126   0.07942   0.80932   0.99941   0.00059   0.59232   0.40768
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04983   0.91961   0.03056   0.00328   0.00234   0.99438   0.99990   0.00010   0.48753   0.51247
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30828   0.00126   0.53755   0.00275   0.08732   0.06283   0.53364   0.00126   0.46510   0.46721   0.53279   0.91268   0.08732

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993185    1.200874    0.196328    1.492131           0           0           0    0.124298    0.006815
ep        0.500000    3.000000    1.478832    2.000000           0    0.042337           0           0           0           0    0.021168
mu               1    3.184650    1.312038    0.006034    0.111260    0.080013    0.415022    0.081961           0           0    0.000295
pa               1    2.975061    1.509612    0.030558    0.003279    0.002436    0.024915    0.459806           0           0    0.000048
bi        0.912679    2.934412    0.564211           0    1.375555    1.470501    0.500000           0    0.087321    0.003790    0.001377
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02326345              0.08699116  0.13316802  0.10942508  0.19631617  0.44557046  0.00526567

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14003881  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6167.4577  -5510.5986      0.7713    12.02284     3.93333
ep            -7116.4170  -6469.6920      0.7594    13.71814     3.32093
mu            -6142.0120  -5512.9668      0.7387    13.95806     2.85050
pa            -6166.8987  -5558.9502      0.7139    13.28447     2.88716
bi            -5993.8713  -5260.9831      0.8606    15.14396     3.07532
q              -938.0589   -850.9093      0.1023     2.26220     2.65582
H2O            -345.1040   -234.0747      0.1304     1.79153     1.00557
sph           -2697.9553  -2439.0831      0.3040     5.56004     3.52587

sys           -660.76739  -559.10155     0.11938     1.98590     2.10875

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000276466     4.49672  0.00124319    0.058627   -6511.33067445    -47.36920969    -6511.3307    -47.3692
      alm        0.118076     1.15656    0.136562     0.49283   -5555.39230612    -14.09718046    -5555.3923    -14.0972
      spss     7.01605e-5    0.977524  6.85836e-5    0.041433   -5977.03185467    -67.88420396    -5977.0319    -67.8842
      gr        0.0632686     1.16796   0.0738952     0.40029   -6847.07098052    -18.44552098    -6847.0710    -18.4455
      kho      1.30187e-8     1.19910  1.56107e-8   0.0068154   -5660.40500604   -127.27457855    -5660.4050   -127.2746

ep    cz         0.957697     1.00025    0.957935     0.95846   -7132.43386418      0.30429111    -7132.4339     -0.3043
      ep        0.0415048     1.13841   0.0472494    0.040739   -6725.61614972    -21.61198721    -6725.6161    -21.6120
      fep      3.31740e-5     1.50080  4.97875e-5  0.00079864   -6291.56612458    -70.15201842    -6291.5661    -70.1520

mu    mu         0.648481    0.940841    0.610117     0.63877   -6193.97045541     -3.49851394    -6193.9705     -3.4985
      cel       0.0323821     1.96866   0.0637494     0.11126   -6052.02508119    -19.49123337    -6052.0251    -19.4912
      fcel      0.0231161     1.96866   0.0455077    0.079424   -5719.90167509    -21.87791555    -5719.9017    -21.8779
      pa         0.128066     7.28129    0.932483     0.16392   -6156.59389002      0.49495857    -6156.5939     -0.4950
      mat     0.000811182     102.889   0.0834616   0.0060343   -6444.31814783    -17.58355173    -6444.3181    -17.5836
      fmu     0.000382691     1.11334 0.000426066  0.00058979   -5757.00762120    -54.95134511    -5757.0076    -54.9513

pa    mu        0.0495137     12.3216    0.610086    0.044115   -6193.97045541     -3.49887520    -6193.9705     -3.4989
      cel      3.88270e-5     1641.62   0.0637393   0.0032786   -6052.02508119    -19.49235108    -6052.0251    -19.4924
      fcel     2.77168e-5     1641.62   0.0455006   0.0023404   -5719.90167509    -21.87903326    -5719.9017    -21.8790
      pa         0.913789     1.02050    0.932522     0.91961   -6156.59389002      0.49466226    -6156.5939     -0.4947
      mat      0.00797936     10.4602   0.0834660    0.030558   -6444.31814783    -17.58317083    -6444.3181    -17.5832
      fmu      4.74080e-6     89.8629 0.000426022   9.5738e-5   -5757.00762120    -54.95207451    -5757.0076    -54.9521

bi    phl       0.0728115     1.73047    0.125998     0.30828   -6459.04576593    -14.66720949    -6459.0458    -14.6672
      annm      0.0964432     1.48332    0.143056     0.46510   -5470.73457479    -13.76820325    -5470.7346    -13.7682
      obi        0.126963     1.37323    0.174349    0.072452   -6131.60870221    -12.36751084    -6131.6087    -12.3675
      east     0.00423100     3.46981   0.0146807    0.062834   -6569.77744361    -29.88843391    -6569.7774    -29.8884
      tbi     0.000188790     26.7178  0.00504404    0.087321   -6408.52510731    -37.45276266    -6408.5251    -37.4528
      fbi     0.000185495     2.88341 0.000534857   0.0027547   -6160.81460941    -53.34119745    -6160.8146    -53.3412
      mmbi     1.67253e-9     1.88551  3.15357e-9   0.0012634   -5821.33010162   -138.59931633    -5821.3301   -138.5993

q                                                               -938.0589
H2O                                                             -345.1040
sph                                                            -2697.9553

===========================================================

g ep mu pa bi q H2O sph  {11.6883, 581.360}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.88201   0.40265   0.04143   0.00682
ep        f(ep)     Q(ep)
        0.02085   0.02006
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41783   0.81018   0.00059   0.16598   0.00615
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41783   0.99425   0.00010   0.91862   0.03079
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51656   0.00129   0.06373   0.00276   0.08840   0.15269

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06559   0.49033   0.04143   0.40265   0.99318   0.00682
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00079   0.99921   0.04091   0.95909
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.82786   0.16598   0.00615   0.11051   0.07931   0.81018   0.99941   0.00059   0.59183   0.40817
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05059   0.91862   0.03079   0.00334   0.00240   0.99425   0.99990   0.00010   0.48748   0.51252
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30747   0.00129   0.53635   0.00276   0.08840   0.06373   0.53305   0.00129   0.46566   0.46675   0.53325   0.91160   0.08840

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993181    1.207947    0.196783    1.484615           0           0           0    0.124293    0.006819
ep        0.500000    3.000000    1.479148           2           0    0.041703           0           0           0           0    0.020852
mu               1    3.183668    1.312961    0.006153    0.110508    0.079902    0.413932    0.082992           0           0    0.000294
pa        1.000000    2.974958    1.509600    0.030787    0.003345    0.002498    0.025297    0.459309           0           0    0.000048
bi        0.911601    2.933509    0.565113           0    1.373575    1.470430    0.500000           0    0.088399    0.003862    0.001378
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02320009              0.08685009  0.13314252  0.10962818  0.19637996  0.44558366  0.00521550

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14005265  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6173.2995  -5512.9580      0.7728    12.02643     3.93112
ep            -7119.3218  -6468.9317      0.7611    13.71952     3.32046
mu            -6144.7136  -5512.0855      0.7403    13.95899     2.85006
pa            -6169.4776  -5557.9511      0.7156    13.28791     2.88655
bi            -5996.9679  -5260.0326      0.8624    15.14605     3.07506
q              -938.4310   -850.7722      0.1026     2.26275     2.65518
H2O            -345.5424   -233.9385      0.1306     1.79477     1.00375
sph           -2699.0226  -2438.6946      0.3047     5.56052     3.52557

sys           -661.18012  -558.95693     0.11963     1.98767     2.10687

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000278393     4.49479  0.00125132    0.058775   -6513.74468320    -47.48491045    -6513.7447    -47.4849
      alm        0.116281     1.15714    0.134554     0.49033   -5558.07978508    -14.25059915    -5558.0798    -14.2506
      spss     7.01504e-5    0.977148  6.85473e-5    0.041431   -5979.68485912    -68.12011143    -5979.6849    -68.1201
      gr        0.0643928     1.16536   0.0750409     0.40265   -6849.49349831    -18.39929539    -6849.4935    -18.3993
      kho      1.31234e-8     1.18687  1.55758e-8   0.0068190   -5663.06929961   -127.72572584    -5663.0693   -127.7257

ep    cz         0.958329     1.00024    0.958559     0.95909   -7135.08600497      0.30069999    -7135.0860     -0.3007
      ep        0.0408778     1.13810   0.0465230    0.040117   -6728.37359095    -21.79596209    -6728.3736    -21.7960
      fep      3.24480e-5     1.49911  4.86433e-5  0.00079315   -6294.39531193    -70.55711355    -6294.3953    -70.5571

mu    mu         0.647710    0.940818    0.609377     0.63745   -6196.54852413     -3.51910175    -6196.5485     -3.5191
      cel       0.0320255     1.97808   0.0633489     0.11051   -6054.59862258    -19.60266073    -6054.5986    -19.6027
      fcel      0.0229853     1.97808   0.0454667    0.079313   -5722.60914788    -21.95914085    -5722.6091    -21.9591
      pa         0.129863     7.17513    0.931786     0.16598   -6159.09452806      0.50196329    -6159.0945     -0.5020
      mat     0.000830033     100.264   0.0832227   0.0061531   -6446.78638793    -17.66404764    -6446.7864    -17.6640
      fmu     0.000381509     1.11673 0.000426042  0.00058866   -5759.71083233    -55.13965763    -5759.7108    -55.1397

pa    mu        0.0502675     12.1221    0.609346    0.044752   -6196.54852413     -3.51946053    -6196.5485     -3.5195
      cel      4.02127e-5     1575.10   0.0633390   0.0033449   -6054.59862258    -19.60377076    -6054.5986    -19.6038
      fcel     2.88614e-5     1575.10   0.0454596   0.0024007   -5722.60914788    -21.96025087    -5722.6091    -21.9603
      pa         0.912679     1.02098    0.931825     0.91862   -6159.09452806      0.50166941    -6159.0945     -0.5017
      mat      0.00803993     10.3517   0.0832271    0.030787   -6446.78638793    -17.66366928    -6446.7864    -17.6637
      fmu      4.86716e-6     87.5251 0.000425999   9.6816e-5   -5759.71083233    -55.14038213    -5759.7108    -55.1404

bi    phl       0.0722820     1.73057    0.125089     0.30747   -6461.82094918    -14.76880495    -6461.8209    -14.7688
      annm      0.0962220     1.48067    0.142473     0.46566   -5473.84642569    -13.84431874    -5473.8464    -13.8443
      obi        0.126086     1.37292    0.173107    0.070686   -6134.49610801    -12.46061303    -6134.4961    -12.4606
      east     0.00427931     3.45703   0.0147937    0.063734   -6572.52016673    -29.93617756    -6572.5202    -29.9362
      tbi     0.000195413     26.2750  0.00513448    0.088399   -6411.14415399    -37.45458352    -6411.1442    -37.4546
      fbi     0.000185091     2.87629 0.000532374   0.0027567   -6163.68247494    -53.55666539    -6163.6825    -53.5567
      mmbi     1.76570e-9     1.88104  3.32136e-9   0.0012875   -5824.46040282   -138.70499584    -5824.4604   -138.7050

q                                                               -938.4310
H2O                                                             -345.5424
sph                                                            -2699.0226

===========================================================

g ep mu pa bi q H2O sph  {11.6555, 584.272}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.88124   0.40502   0.04143   0.00682
ep        f(ep)     Q(ep)
        0.02054   0.01975
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41914   0.81104   0.00059   0.16806   0.00627
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41914   0.99413   0.00010   0.91762   0.03101
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51690   0.00131   0.06464   0.00276   0.08948   0.15205

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06574   0.48781   0.04143   0.40502   0.99318   0.00682
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00079   0.99921   0.04030   0.95970
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.82567   0.16806   0.00627   0.10976   0.07920   0.81104   0.99941   0.00059   0.59134   0.40866
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05137   0.91762   0.03101   0.00341   0.00246   0.99413   0.99990   0.00010   0.48743   0.51257
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30667   0.00131   0.53514   0.00276   0.08948   0.06464   0.53247   0.00131   0.46622   0.46630   0.53370   0.91052   0.08948

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993177    1.215070    0.197221    1.477077           0           0           0    0.124278    0.006823
ep        0.500000           3    1.479458           2           0    0.041085           0           0           0           0    0.020542
mu        1.000000    3.182689    1.313880    0.006273    0.109761    0.079789    0.412833    0.084030           0           0    0.000294
pa               1    2.974861    1.509583    0.031014    0.003412    0.002560    0.025685    0.458808           0           0    0.000049
bi        0.910519    2.932604    0.566016           0    1.371600    1.470346    0.500000           0    0.089481    0.003936    0.001379
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02313751              0.08670884  0.13311704  0.10983097  0.19644359  0.44559704  0.00516500

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14006654  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6179.1602  -5515.3340      0.7742    12.03004     3.92889
ep            -7122.2286  -6468.1669      0.7628    13.72090     3.32000
mu            -6147.4224  -5511.2057      0.7420    13.95992     2.84961
pa            -6172.0632  -5556.9517      0.7174    13.29137     2.88593
bi            -6000.0766  -5259.0888      0.8642    15.14814     3.07479
q              -938.8042   -850.6351      0.1028     2.26330     2.65453
H2O            -345.9820   -233.8001      0.1308     1.79803     1.00193
sph           -2700.0929  -2438.3069      0.3053     5.56100     3.52526

sys           -661.59400  -558.81138     0.11987     1.98945     2.10498

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000280252     4.49297  0.00125916    0.058917   -6516.16572036    -47.60218896    -6516.1657    -47.6022
      alm        0.114500     1.15773    0.132561     0.48781   -5560.77452879    -14.40557172    -5560.7745    -14.4056
      spss     7.01249e-5    0.976782  6.84968e-5    0.041426   -5982.34507414    -68.35752178    -5982.3451    -68.3575
      gr        0.0655380     1.16279   0.0762067     0.40502   -6851.92330688    -18.35210004    -6851.9233    -18.3521
      kho      1.32258e-8     1.17484  1.55382e-8   0.0068228   -5665.74091991   -128.17826008    -5665.7409   -128.1783

ep    cz         0.958947     1.00023    0.959170     0.95970   -7137.74590140      0.29718414    -7137.7459     -0.2972
      ep        0.0402651     1.13779   0.0458131    0.039509   -6731.13898914    -21.97986469    -6731.1390    -21.9799
      fep      3.17433e-5     1.49743  4.75335e-5  0.00078774   -6297.23254650    -70.96209986    -6297.2325    -70.9621

mu    mu         0.646916    0.940813    0.608627     0.63612   -6199.13436476     -3.53987392    -6199.1344     -3.5399
      cel       0.0316723     1.98764   0.0629530     0.10976   -6057.17990391    -19.71415975    -6057.1799    -19.7142
      fcel      0.0228540     1.98764   0.0454256    0.079201   -5725.32443596    -22.04043327    -5725.3244    -22.0404
      pa         0.131677     7.07101    0.931088     0.16806   -6161.60278146      0.50901463    -6161.6028     -0.5090
      mat     0.000849160     97.7183   0.0829785   0.0062732   -6449.26214229    -17.74519490    -6449.2621    -17.7452
      fmu     0.000380315     1.12016 0.000426013  0.00058754   -5762.42196454    -55.32805911    -5762.4220    -55.3281

pa    mu        0.0510303     11.9262    0.608597    0.045397   -6199.13436476     -3.54023023    -6199.1344     -3.5402
      cel      4.16429e-5     1511.50   0.0629433   0.0034124   -6057.17990391    -19.71526211    -6057.1799    -19.7153
      fcel     3.00486e-5     1511.50   0.0454185   0.0024623   -5725.32443596    -22.04153563    -5725.3244    -22.0415
      pa         0.911560     1.02146    0.931126     0.91762   -6161.60278146      0.50872316    -6161.6028     -0.5087
      mat      0.00809954     10.2454   0.0829829    0.031014   -6449.26214229    -17.74481910    -6449.2621    -17.7448
      fmu      4.99638e-6     85.2558 0.000425970   9.7901e-5   -5762.42196454    -55.32877872    -5762.4220    -55.3288

bi    phl       0.0717552     1.73069    0.124186     0.30667   -6464.60424464    -14.87080493    -6464.6042    -14.8708
      annm      0.0959967     1.47806    0.141889     0.46622   -5476.96665986    -13.92078015    -5476.9667    -13.9208
      obi        0.125214     1.37262    0.171872    0.068921   -6137.39171638    -12.55410020    -6137.3917    -12.5541
      east     0.00432747     3.44441   0.0149056    0.064637   -6575.27098028    -29.98449221    -6575.2710    -29.9845
      tbi     0.000202209     25.8419  0.00522548    0.089481   -6413.77076327    -37.45698234    -6413.7708    -37.4570
      fbi     0.000184677     2.86926 0.000529884   0.0027584   -6166.55858006    -53.77260891    -6166.5586    -53.7726
      mmbi     1.86325e-9     1.87663  3.49664e-9   0.0013119   -5827.59892853   -138.81107486    -5827.5989   -138.8111

q                                                               -938.8042
H2O                                                             -345.9820
sph                                                            -2700.0929

===========================================================

g ep mu pa bi q H2O sph  {11.6226, 587.184}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.88047   0.40741   0.04142   0.00683
ep        f(ep)     Q(ep)
        0.02024   0.01946
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.42044   0.81189   0.00059   0.17015   0.00639
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.42044   0.99399   0.00010   0.91661   0.03124
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51725   0.00134   0.06554   0.00276   0.09057   0.15141

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06588   0.48529   0.04142   0.40741   0.99317   0.00683
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00078   0.99922   0.03970   0.96030
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.82345   0.17015   0.00639   0.10902   0.07909   0.81189   0.99941   0.00059   0.59086   0.40914
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05215   0.91661   0.03124   0.00348   0.00253   0.99399   0.99990   0.00010   0.48738   0.51262
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30586   0.00134   0.53393   0.00276   0.09057   0.06554   0.53189   0.00134   0.46678   0.46585   0.53415   0.90943   0.09057

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993173    1.222241    0.197640    1.469518           0           0           0    0.124254    0.006827
ep        0.500000           3    1.479760           2           0    0.040480           0           0           0           0    0.020240
mu               1    3.181713    1.314797    0.006395    0.109020    0.079673    0.411726    0.085077           0           0    0.000293
pa               1    2.974769    1.509563    0.031237    0.003481    0.002624    0.026077    0.458305           0           0    0.000049
bi        0.909433    2.931698    0.566922           0    1.369632    1.470250    0.500000           0    0.090567    0.004010    0.001380
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02307571              0.08656738  0.13309160  0.11003347  0.19650707  0.44561060  0.00511417

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14008048  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6185.0403  -5517.7269      0.7756    12.03367     3.92666
ep            -7125.1378  -6467.3979      0.7645    13.72230     3.31953
mu            -6150.1387  -5510.3278      0.7437    13.96085     2.84917
pa            -6174.6554  -5555.9523      0.7191    13.29485     2.88531
bi            -6003.1975  -5258.1519      0.8660    15.15024     3.07453
q              -939.1787   -850.4983      0.1031     2.26385     2.65388
H2O            -346.4227   -233.6674      0.1311     1.80132     1.00010
sph           -2701.1664  -2437.9200      0.3060     5.56148     3.52496

sys           -662.00907  -558.66855     0.12012     1.99125     2.10309

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000282042     4.49125  0.00126672    0.059053   -6518.59392263    -47.72106466    -6518.5939    -47.7211
      alm        0.112733     1.15833    0.130581     0.48529   -5563.47667591    -14.56212025    -5563.4767    -14.5621
      spss     7.00841e-5    0.976428  6.84321e-5    0.041418   -5985.01264219    -68.59645480    -5985.0126    -68.5965
      gr        0.0667047     1.16023   0.0773930     0.40741   -6854.36055870    -18.30393304    -6854.3606    -18.3039
      kho      1.33256e-8     1.16301  1.54979e-8   0.0068267   -5668.42001270   -128.63220490    -5668.4200   -128.6322

ep    cz         0.959552     1.00022    0.959767     0.96030   -7140.41371954      0.29374146    -7140.4137     -0.2937
      ep        0.0396661     1.13748   0.0451192    0.038915   -6733.91251371    -22.16369617    -6733.9125    -22.1637
      fep      3.10592e-5     1.49576  4.64570e-5  0.00078240   -6300.07800140    -71.36698150    -6300.0780    -71.3670

mu    mu         0.646100    0.940826    0.607868     0.63476   -6201.72814901     -3.56082803    -6201.7281     -3.5608
      cel       0.0313223     1.99735   0.0625615     0.10902   -6059.76909634    -19.82574360    -6059.7691    -19.8257
      fcel      0.0227223     1.99735   0.0453842    0.079087   -5728.04771191    -22.12180611    -5728.0477    -22.1218
      pa         0.133507     6.96885    0.930390     0.17015   -6164.11881189      0.51611307    -6164.1188     -0.5161
      mat     0.000868568     95.2479   0.0827292   0.0063945   -6451.74556881    -17.82698446    -6451.7456    -17.8270
      fmu     0.000379108     1.12364 0.000425979  0.00058642   -5765.14119404    -55.51654923    -5765.1412    -55.5165

pa    mu        0.0518023     11.7338    0.607838    0.046049   -6201.72814901     -3.56118188    -6201.7281     -3.5612
      cel      4.31188e-5     1450.69   0.0625519   0.0034808   -6059.76909634    -19.82683831    -6059.7691    -19.8268
      fcel     3.12798e-5     1450.69   0.0453773   0.0025251   -5728.04771191    -22.12290082    -5728.0477    -22.1229
      pa         0.910434     1.02196    0.930427     0.91661   -6164.11881189      0.51582400    -6164.1188     -0.5158
      mat      0.00815820     10.1412   0.0827336    0.031237   -6451.74556881    -17.82661121    -6451.7456    -17.8266
      fmu      5.12853e-6     83.0525 0.000425937   9.8992e-5   -5765.14119404    -55.51726396    -5765.1412    -55.5173

bi    phl       0.0712311     1.73082    0.123288     0.30586   -6467.39583581    -14.97321015    -6467.3958    -14.9732
      annm      0.0957675     1.47549    0.141304     0.46678   -5480.09546638    -13.99758725    -5480.0955    -13.9976
      obi        0.124347     1.37234    0.170646    0.067157   -6140.29571267    -12.64797277    -6140.2957    -12.6480
      east     0.00437547     3.43195   0.0150164    0.065542   -6578.03006503    -30.03336625    -6578.0301    -30.0334
      tbi     0.000209181     25.4184  0.00531704    0.090567   -6416.40511155    -37.45995522    -6416.4051    -37.4600
      fbi     0.000184252     2.86231 0.000527388   0.0027600   -6169.44311006    -53.98901853    -6169.4431    -53.9890
      mmbi     1.96535e-9     1.87228  3.67968e-9   0.0013365   -5830.74586531   -138.91755717    -5830.7459   -138.9176

q                                                               -939.1787
H2O                                                             -346.4227
sph                                                            -2701.1664

===========================================================

g ep mu pa bi q H2O sph  {11.5894, 590.096}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.87971   0.40982   0.04141   0.00683
ep        f(ep)     Q(ep)
        0.01994   0.01917
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.42173   0.81275   0.00059   0.17226   0.00652
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.42173   0.99386   0.00010   0.91560   0.03146
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51759   0.00136   0.06645   0.00276   0.09166   0.15077

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06601   0.48276   0.04141   0.40982   0.99317   0.00683
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00078   0.99922   0.03911   0.96089
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.82122   0.17226   0.00652   0.10828   0.07897   0.81275   0.99941   0.00059   0.59037   0.40963
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05295   0.91560   0.03146   0.00355   0.00259   0.99386   0.99990   0.00010   0.48734   0.51266
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30505   0.00136   0.53272   0.00276   0.09166   0.06645   0.53131   0.00136   0.46733   0.46540   0.53460   0.90834   0.09166

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993169    1.229461    0.198042    1.461937           0           0           0    0.124221    0.006831
ep        0.500000           3    1.480056           2           0    0.039888           0           0           0           0    0.019944
mu               1    3.180738    1.315711    0.006517    0.108285    0.079555    0.410610    0.086132           0           0    0.000293
pa               1    2.974683    1.509539    0.031457    0.003550    0.002689    0.026474    0.457798           0           0    0.000050
bi        0.908342    2.930790    0.567829           0    1.367669    1.470141    0.500000           0    0.091658    0.004084    0.001381
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02301466              0.08642566  0.13306620  0.11023572  0.19657040  0.44562433  0.00506301

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14009449  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6190.9398  -5520.1370      0.7771    12.03732     3.92442
ep            -7128.0495  -6466.6251      0.7662    13.72370     3.31907
mu            -6152.8627  -5509.4520      0.7453    13.96178     2.84872
pa            -6177.2546  -5554.9530      0.7209    13.29835     2.88469
bi            -6006.3307  -5257.2219      0.8678    15.15234     3.07426
q              -939.5543   -850.3616      0.1033     2.26441     2.65323
H2O            -346.8645   -233.5326      0.1313     1.80463     0.99826
sph           -2702.2430  -2437.5340      0.3066     5.56197     3.52465

sys           -662.42534  -558.52486     0.12036     1.99306     2.10118

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000283761     4.48963  0.00127398    0.059183   -6521.02942816    -47.84155760    -6521.0294    -47.8416
      alm        0.110978     1.15893    0.128616     0.48276   -5566.18636655    -14.72026746    -5566.1864    -14.7203
      spss     7.00280e-5    0.976085  6.83533e-5    0.041407   -5987.68770729    -68.83693029    -5987.6877    -68.8369
      gr        0.0678933     1.15770   0.0786003     0.40982   -6856.80540787    -18.25479234    -6856.8054    -18.2548
      kho      1.34229e-8     1.15138  1.54548e-8   0.0068308   -5671.10672531   -129.08758471    -5671.1067   -129.0876

ep    cz         0.960142     1.00022    0.960351     0.96089   -7143.08962725      0.29036992    -7143.0896     -0.2904
      ep        0.0390805     1.13716   0.0444408    0.038334   -6736.69433590    -22.34745788    -6736.6943    -22.3475
      fep      3.03948e-5     1.49409  4.54126e-5  0.00077715   -6302.93185156    -71.77176288    -6302.9319    -71.7718

mu    mu         0.645261    0.940858    0.607099     0.63338   -6204.33005040     -3.58196172    -6204.3301     -3.5820
      cel       0.0309755     2.00720   0.0621742     0.10828   -6062.36637281    -19.93742557    -6062.3664    -19.9374
      fcel      0.0225899     2.00720   0.0453426    0.078970   -5730.77915015    -22.20327272    -5730.7792    -22.2033
      pa         0.135354     6.86859    0.929690     0.17226   -6166.64278280      0.52325914    -6166.6428     -0.5233
      mat     0.000888259     92.8503   0.0824751   0.0065171   -6454.23682703    -17.90940741    -6454.2368    -17.9094
      fmu     0.000377890     1.12716 0.000425940  0.00058530   -5767.86869897    -55.70512779    -5767.8687    -55.7051

pa    mu        0.0525839     11.5448    0.607070    0.046708   -6204.33005040     -3.58231311    -6204.3301     -3.5823
      cel      4.46419e-5     1392.52   0.0621648   0.0035503   -6062.36637281    -19.93851264    -6062.3664    -19.9385
      fcel     3.25566e-5     1392.52   0.0453357   0.0025892   -5730.77915015    -22.20435980    -5730.7792    -22.2044
      pa         0.909300     1.02247    0.929727     0.91560   -6166.64278280      0.52297246    -6166.6428     -0.5230
      mat      0.00821588     10.0390   0.0824794    0.031457   -6454.23682703    -17.90903671    -6454.2368    -17.9090
      fmu      5.26366e-6     80.9129 0.000425898  0.00010009   -5767.86869897    -55.70583765    -5767.8687    -55.7058

bi    phl       0.0707097     1.73097    0.122396     0.30505   -6470.19590817    -15.07602140    -6470.1959    -15.0760
      annm      0.0955343     1.47297    0.140719     0.46733   -5483.23303639    -14.07473980    -5483.2330    -14.0747
      obi        0.123484     1.37206    0.169427    0.065393   -6143.20828424    -12.74223117    -6143.2083    -12.7422
      east     0.00442329     3.41964   0.0151261    0.066448   -6580.79760370    -30.08278816    -6580.7976    -30.0828
      tbi     0.000216331     25.0040  0.00540914    0.091658   -6419.04737708    -37.46349841    -6419.0474    -37.4635
      fbi     0.000183819     2.85546 0.000524888   0.0027614   -6172.33625227    -54.20588487    -6172.3363    -54.2059
      mmbi     2.07215e-9     1.86799  3.87076e-9   0.0013615   -5833.90140176   -139.02444606    -5833.9014   -139.0244

q                                                               -939.5543
H2O                                                             -346.8645
sph                                                            -2702.2430

===========================================================

g ep mu pa bi q H2O sph  {11.5560, 593.009}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.87894   0.41224   0.04139   0.00683
ep        f(ep)     Q(ep)
        0.01965   0.01888
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.42301   0.81359   0.00058   0.17439   0.00664
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.42301   0.99372   0.00010   0.91457   0.03167
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51792   0.00139   0.06736   0.00276   0.09275   0.15014

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06614   0.48022   0.04139   0.41224   0.99317   0.00683
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00077   0.99923   0.03854   0.96146
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.81897   0.17439   0.00664   0.10755   0.07885   0.81359   0.99942   0.00058   0.58988   0.41012
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05375   0.91457   0.03167   0.00362   0.00265   0.99372   0.99990   0.00010   0.48730   0.51270
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30424   0.00139   0.53151   0.00276   0.09275   0.06736   0.53074   0.00139   0.46788   0.46494   0.53506   0.90725   0.09275

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993165    1.236731    0.198425    1.454335           0           0           0    0.124179    0.006835
ep        0.500000           3    1.480345           2           0    0.039310           0           0           0           0    0.019655
mu        1.000000    3.179764    1.316623    0.006641    0.107554    0.079435    0.409484    0.087195           0           0    0.000292
pa        1.000000    2.974602    1.509511    0.031673    0.003621    0.002756    0.026876    0.457287           0           0    0.000051
bi        0.907248    2.929880    0.568738           0    1.365711    1.470020    0.500000           0    0.092752    0.004160    0.001381
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02295436              0.08628364  0.13304088  0.11043774  0.19663361  0.44563824  0.00501153

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14010854  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6196.8591  -5522.5645      0.7785    12.04099     3.92217
ep            -7130.9642  -6465.8488      0.7679    13.72511     3.31861
mu            -6155.5947  -5508.5787      0.7470    13.96270     2.84827
pa            -6179.8608  -5553.9539      0.7226    13.30186     2.88406
bi            -6009.4763  -5256.2989      0.8696    15.15445     3.07398
q              -939.9313   -850.2251      0.1036     2.26498     2.65257
H2O            -347.3075   -233.3977      0.1315     1.80797     0.99642
sph           -2703.3229  -2437.1491      0.3073     5.56246     3.52434

sys           -662.84285  -558.38133     0.12060     1.99488     2.09926

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000285409     4.48812  0.00128095    0.059307   -6523.47237849    -47.96368868    -6523.4724    -47.9637
      alm        0.109237     1.15954    0.126664     0.48022   -5568.90374427    -14.88003688    -5568.9037    -14.8800
      spss     6.99564e-5    0.975753  6.82602e-5    0.041393   -5990.37041694    -69.07896814    -5990.3704    -69.0790
      gr        0.0691043     1.15520   0.0798289     0.41224   -6859.25801224    -18.20467556    -6859.2580    -18.2047
      kho      1.35175e-8     1.13994  1.54090e-8   0.0068349   -5673.80120868   -129.54442514    -5673.8012   -129.5444

ep    cz         0.960720     1.00021    0.960922     0.96146   -7145.77379640      0.28706752    -7145.7738     -0.2871
      ep        0.0385079     1.13684   0.0437775    0.037766   -6739.48463108    -22.53115140    -6739.4846    -22.5312
      fep      2.97496e-5     1.49242  4.43990e-5  0.00077196   -6305.79427614    -72.17644886    -6305.7943    -72.1764

mu    mu         0.644400    0.940909    0.606322     0.63198   -6206.94024665     -3.60327262    -6206.9402     -3.6033
      cel       0.0306317     2.01722   0.0617909     0.10755   -6064.97191046    -20.04921922    -6064.9719    -20.0492
      fcel      0.0224569     2.01722   0.0453006    0.078851   -5733.51892928    -22.28484675    -5733.5189    -22.2848
      pa         0.137218     6.77018    0.928990     0.17439   -6169.17486156      0.53045338    -6169.1749     -0.5305
      mat     0.000908237     90.5230   0.0822164   0.0066409   -6456.73608035    -17.99245517    -6456.7361    -17.9925
      fmu     0.000376658     1.13072 0.000425897  0.00058417   -5770.60466175    -55.89379480    -5770.6047    -55.8938

pa    mu        0.0533752     11.3591    0.606293    0.047376   -6206.94024665     -3.60362155    -6206.9402     -3.6036
      cel      4.62135e-5     1336.87   0.0617816   0.0036209   -6064.97191046    -20.05029868    -6064.9719    -20.0503
      fcel     3.38804e-5     1336.87   0.0452938   0.0026546   -5733.51892928    -22.28592621    -5733.5189    -22.2859
      pa         0.908157     1.02298    0.929026     0.91457   -6169.17486156      0.53016908    -6169.1749     -0.5302
      mat      0.00827259     9.93891   0.0822206    0.031673   -6456.73608035    -17.99208704    -6456.7361    -17.9921
      fmu      5.40186e-6     78.8349 0.000425855  0.00010120   -5770.60466175    -55.89449980    -5770.6047    -55.8945

bi    phl       0.0701909     1.73113    0.121510     0.30424   -6473.00465170    -15.17923958    -6473.0047    -15.1792
      annm      0.0952972     1.47050    0.140134     0.46788   -5486.37956562    -14.15223756    -5486.3796    -14.1522
      obi        0.122625     1.37179    0.168216    0.063631   -6146.12962301    -12.83687593    -6146.1296    -12.8369
      east     0.00447095     3.40748   0.0152347    0.067357   -6583.57378346    -30.13274630    -6583.5738    -30.1327
      tbi     0.000223662     24.5986  0.00550177    0.092752   -6421.69774240    -37.46760792    -6421.6977    -37.4676
      fbi     0.000183376     2.84870 0.000522383   0.0027627   -6175.23819855    -54.42319868    -6175.2382    -54.4232
      mmbi     2.18383e-9     1.86376  4.07014e-9   0.0013867   -5837.06573103   -139.13174420    -5837.0657   -139.1317

q                                                               -939.9313
H2O                                                             -347.3075
sph                                                            -2703.3229

===========================================================

g ep mu pa bi q H2O sph  {11.5223, 595.921}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.87818   0.41468   0.04138   0.00684
ep        f(ep)     Q(ep)
        0.01937   0.01861
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.42428   0.81444   0.00058   0.17653   0.00677
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.42428   0.99359   0.00010   0.91355   0.03189
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51826   0.00141   0.06827   0.00276   0.09385   0.14952

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06626   0.47768   0.04138   0.41468   0.99316   0.00684
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00077   0.99923   0.03798   0.96202
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.81670   0.17653   0.00677   0.10683   0.07873   0.81444   0.99942   0.00058   0.58940   0.41060
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05457   0.91355   0.03189   0.00369   0.00272   0.99359   0.99990   0.00010   0.48726   0.51274
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30342   0.00141   0.53029   0.00276   0.09385   0.06827   0.53017   0.00141   0.46842   0.46448   0.53552   0.90615   0.09385

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993161    1.244051    0.198790    1.446710           0           0           0    0.124128    0.006839
ep        0.500000           3    1.480628           2           0    0.038744           0           0           0           0    0.019372
mu               1    3.178791    1.317534    0.006766    0.106828    0.079312    0.408350    0.088267           0           0    0.000292
pa               1    2.974527    1.509478    0.031887    0.003693    0.002824    0.027284    0.456773           0           0    0.000051
bi        0.906150    2.928969    0.569649           0    1.363759    1.469887    0.500000           0    0.093850    0.004236    0.001382
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02289479              0.08614125  0.13301563  0.11063957  0.19669671  0.44565233  0.00495972

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14012265  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6202.7983  -5525.0099      0.7799    12.04469     3.91991
ep            -7133.8822  -6465.0695      0.7696    13.72652     3.31815
mu            -6158.3349  -5507.7081      0.7486    13.96362     2.84781
pa            -6182.4742  -5552.9552      0.7244    13.30541     2.88343
bi            -6012.6345  -5255.3832      0.8713    15.15656     3.07371
q              -940.3095   -850.0889      0.1038     2.26554     2.65190
H2O            -347.7518   -233.2608      0.1317     1.81133     0.99457
sph           -2704.4060  -2436.7653      0.3080     5.56295     3.52403

sys           -663.26162  -558.23703     0.12085     1.99671     2.09734

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000286984     4.48670  0.00128761    0.059424   -6525.92291742    -48.08747955    -6525.9229    -48.0875
      alm        0.107508     1.16016    0.124727     0.47768   -5571.62895490    -15.04145276    -5571.6290    -15.0415
      spss     6.98695e-5    0.975432  6.81529e-5    0.041376   -5993.06092100    -69.32258830    -5993.0609    -69.3226
      gr        0.0703380     1.15271   0.0810793     0.41468   -6861.71853213    -18.15358006    -6861.7185    -18.1536
      kho      1.36093e-8     1.12868  1.53606e-8   0.0068393   -5676.50361616   -130.00275278    -5676.5036   -130.0028

ep    cz         0.961285     1.00020    0.961481     0.96202   -7148.46640162      0.28383235    -7148.4664     -0.2838
      ep        0.0379479     1.13653   0.0431288    0.037210   -6742.28357741    -22.71477854    -6742.2836    -22.7148
      fep      2.91227e-5     1.49076  4.34151e-5  0.00076685   -6308.66545713    -72.58104466    -6308.6655    -72.5810

mu    mu         0.643517    0.940979    0.605536     0.63056   -6209.55891831     -3.62475841    -6209.5589     -3.6248
      cel       0.0302907     2.02740   0.0614114     0.10683   -6067.58588922    -20.16113833    -6067.5859    -20.1611
      fcel      0.0223233     2.02740   0.0452582    0.078729   -5736.26723075    -22.36654200    -5736.2672    -22.3665
      pa         0.139100     6.67355    0.928288     0.17653   -6171.71521829      0.53769636    -6171.7152     -0.5377
      mat     0.000928507     88.2634   0.0819532   0.0067660   -6459.24349476    -18.07611939    -6459.2435    -18.0761
      fmu     0.000375414     1.13434 0.000425848  0.00058304   -5773.34926768    -56.08255042    -5773.3493    -56.0826

pa    mu        0.0541765     11.1766    0.605507    0.048051   -6209.55891831     -3.62510488    -6209.5589     -3.6251
      cel      4.78353e-5     1283.62   0.0614023   0.0036926   -6067.58588922    -20.16221018    -6067.5859    -20.1622
      fcel     3.52530e-5     1283.62   0.0452515   0.0027213   -5736.26723075    -22.36761385    -5736.2672    -22.3676
      pa         0.907005     1.02350    0.928324     0.91355   -6171.71521829      0.53741444    -6171.7152     -0.5374
      mat      0.00832833     9.84079   0.0819573    0.031887   -6459.24349476    -18.07575385    -6459.2435    -18.0758
      fmu      5.54318e-6     76.8162 0.000425806  0.00010231   -5773.34926768    -56.08325056    -5773.3493    -56.0833

bi    phl       0.0696748     1.73131    0.120628     0.30342   -6475.82225945    -15.28286566    -6475.8223    -15.2829
      annm      0.0950564     1.46806    0.139549     0.46842   -5489.53525297    -14.23008031    -5489.5353    -14.2301
      obi        0.121771     1.37153    0.167013    0.061869   -6149.05992395    -12.93190761    -6149.0599    -12.9319
      east     0.00451843     3.39548   0.0153422    0.068267   -6586.35879448    -30.18322903    -6586.3588    -30.1832
      tbi     0.000231175     24.2020  0.00559491    0.093850   -6424.35639295    -37.47227977    -6424.3564    -37.4723
      fbi     0.000182925     2.84202 0.000519875   0.0027637   -6178.14914385    -54.64095080    -6178.1491    -54.6410
      mmbi     2.30057e-9     1.85959  4.27810e-9   0.0014121   -5840.23904940   -139.23945369    -5840.2390   -139.2395

q                                                               -940.3095
H2O                                                             -347.7518
sph                                                            -2704.4060

===========================================================

g ep mu pa bi q H2O sph  {11.4884, 598.833}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.87742   0.41714   0.04136   0.00684
ep        f(ep)     Q(ep)
        0.01910   0.01833
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.42555   0.81529   0.00058   0.17870   0.00689
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.42555   0.99345   0.00010   0.91251   0.03210
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51859   0.00144   0.06918   0.00276   0.09495   0.14890

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06638   0.47512   0.04136   0.41714   0.99316   0.00684
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00076   0.99924   0.03743   0.96257
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.81441   0.17870   0.00689   0.10611   0.07860   0.81529   0.99942   0.00058   0.58891   0.41109
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05539   0.91251   0.03210   0.00377   0.00279   0.99345   0.99990   0.00010   0.48723   0.51277
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30260   0.00144   0.52907   0.00276   0.09495   0.06918   0.52961   0.00144   0.46896   0.46403   0.53597   0.90505   0.09495

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993156    1.251421    0.199136    1.439062           0           0           0    0.124068    0.006844
ep        0.500000    3.000000    1.480905           2           0    0.038190           0           0           0           0    0.019095
mu        1.000000    3.177819    1.318444    0.006892    0.106107    0.079186    0.407206    0.089348           0           0    0.000291
pa        1.000000    2.974458    1.509442    0.032096    0.003765    0.002893    0.027696    0.456255           0           0    0.000052
bi        0.905048    2.928056    0.570562           0    1.361812    1.469743    0.500000           0    0.094952    0.004314    0.001382
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02283593              0.08599847  0.13299049  0.11084123  0.19675970  0.44566659  0.00490759

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14013681  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6208.7578  -5527.4733      0.7813    12.04840     3.91765
ep            -7136.8038  -6464.2874      0.7712    13.72795     3.31768
mu            -6161.0837  -5506.8405      0.7503    13.96453     2.84736
pa            -6185.0951  -5551.9572      0.7261    13.30897     2.88280
bi            -6015.8053  -5254.4748      0.8731    15.15868     3.07343
q              -940.6891   -849.9529      0.1041     2.26612     2.65123
H2O            -348.1973   -233.1297      0.1320     1.81472     0.99271
sph           -2705.4926  -2436.3826      0.3086     5.56344     3.52372

sys           -663.68167  -558.09553     0.12109     1.99856     2.09540

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000288484     4.48538  0.00129396    0.059535   -6528.38119234    -48.21295275    -6528.3812    -48.2130
      alm        0.105793     1.16078    0.122803     0.47512   -5574.36214793    -15.20454024    -5574.3621    -15.2045
      spss     6.97672e-5    0.975121  6.80315e-5    0.041356   -5995.75937306    -69.56781086    -5995.7594    -69.5678
      gr        0.0715949     1.15025   0.0823519     0.41714   -6864.18713182    -18.10150279    -6864.1871    -18.1015
      kho      1.36983e-8     1.11761  1.53094e-8   0.0068437   -5679.21410495   -130.46259554    -5679.2141   -130.4626

ep    cz         0.961838     1.00020    0.962028     0.96257   -7151.16762180      0.28066254    -7151.1676     -0.2807
      ep        0.0374002     1.13621   0.0424943    0.036667   -6745.09135743    -22.89834135    -6745.0914    -22.8983
      fep      2.85136e-5     1.48911  4.24599e-5  0.00076181   -6311.54558103    -72.98555598    -6311.5456    -72.9856

mu    mu         0.642613    0.941068    0.604742     0.62912   -6212.18625034     -3.64641677    -6212.1863     -3.6464
      cel       0.0299525     2.03775   0.0610357     0.10611   -6070.20849342    -20.27319695    -6070.2085    -20.2732
      fcel      0.0221888     2.03775   0.0452153    0.078604   -5739.02424044    -22.44837255    -5739.0242    -22.4484
      pa         0.141000     6.57864    0.927585     0.17870   -6174.26402727      0.54498867    -6174.2640     -0.5450
      mat     0.000949072     86.0690   0.0816857   0.0068923   -6461.75924030    -18.16039206    -6461.7592    -18.1604
      fmu     0.000374156     1.13801 0.000425794  0.00058190   -5776.10270665    -56.27139501    -5776.1027    -56.2714

pa    mu        0.0549880     10.9972    0.604714    0.048735   -6212.18625034     -3.64676078    -6212.1863     -3.6468
      cel      4.95086e-5     1232.65   0.0610267   0.0037654   -6070.20849342    -20.27426122    -6070.2085    -20.2743
      fcel     3.66760e-5     1232.65   0.0452086   0.0027894   -5739.02424044    -22.44943681    -5739.0242    -22.4494
      pa         0.905844     1.02404    0.927621     0.91251   -6174.26402727      0.54470912    -6174.2640     -0.5447
      mat      0.00838308     9.74461   0.0816898    0.032096   -6461.75924030    -18.16002915    -6461.7592    -18.1600
      fmu      5.68772e-6     74.8549 0.000425753  0.00010342   -5776.10270665    -56.27209030    -5776.1027    -56.2721

bi    phl       0.0691613     1.73150    0.119753     0.30260   -6478.64892920    -15.38690073    -6478.6489    -15.3869
      annm      0.0948120     1.46567    0.138963     0.46896   -5492.70030222    -14.30826786    -5492.7003    -14.3083
      obi        0.120921     1.37128    0.165817    0.060109   -6151.99938687    -13.02732690    -6151.9994    -13.0273
      east     0.00456574     3.38362   0.0154487    0.069180   -6589.15283164    -30.23422463    -6589.1528    -30.2342
      tbi     0.000238875     23.8139  0.00568855    0.094952   -6427.02351871    -37.47750976    -6427.0235    -37.4775
      fbi     0.000182465     2.83543 0.000517366   0.0027647   -6181.06928794    -54.85913217    -6181.0693    -54.8591
      mmbi     2.42254e-9     1.85547  4.49494e-9   0.0014379   -5843.42155798   -139.34757608    -5843.4216   -139.3476

q                                                               -940.6891
H2O                                                             -348.1973
sph                                                            -2705.4926

===========================================================

g ep mu pa bi q H2O sph  {11.4542, 601.745}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.87666   0.41961   0.04133   0.00685
ep        f(ep)     Q(ep)
        0.01882   0.01807
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.42681   0.81613   0.00058   0.18087   0.00702
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.42681   0.99330   0.00010   0.91147   0.03230
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51892   0.00146   0.07009   0.00277   0.09606   0.14828

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06649   0.47257   0.04133   0.41961   0.99315   0.00685
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00076   0.99924   0.03689   0.96311
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.81211   0.18087   0.00702   0.10539   0.07848   0.81613   0.99942   0.00058   0.58842   0.41158
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05623   0.91147   0.03230   0.00384   0.00286   0.99330   0.99990   0.00010   0.48720   0.51280
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30178   0.00146   0.52784   0.00277   0.09606   0.07009   0.52905   0.00146   0.46949   0.46357   0.53643   0.90394   0.09606

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993152    1.258842    0.199464    1.431392           0           0           0    0.123999    0.006848
ep        0.500000    3.000000    1.481175    2.000000           0    0.037649           0           0           0           0    0.018825
mu               1    3.176846    1.319354    0.007020    0.105390    0.079057    0.406053    0.090437           0           0    0.000290
pa               1    2.974395    1.509401    0.032303    0.003839    0.002963    0.028115    0.455734           0           0    0.000052
bi        0.903942    2.927141    0.571477           0    1.359870    1.469587    0.500000           0    0.096058    0.004392    0.001383
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02277778              0.08585523  0.13296548  0.11104275  0.19682260  0.44568103  0.00485513

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14015102  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6214.7378  -5529.9551      0.7827    12.05214     3.91538
ep            -7139.7294  -6463.5028      0.7729    13.72938     3.31722
mu            -6163.8413  -5505.9764      0.7519    13.96544     2.84690
pa            -6187.7236  -5550.9600      0.7278    13.31255     2.88217
bi            -6018.9888  -5253.5738      0.8749    15.16081     3.07315
q              -941.0700   -849.8172      0.1043     2.26670     2.65055
H2O            -348.6440   -232.9942      0.1322     1.81814     0.99085
sph           -2706.5826  -2436.0011      0.3093     5.56393     3.52341

sys           -664.10305  -557.95221     0.12133     2.00042     2.09345

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000289908     4.48416  0.00129999    0.059640   -6530.84735252    -48.34013159    -6530.8474    -48.3401
      alm        0.104092     1.16141    0.120893     0.47257   -5577.10347473    -15.36932525    -5577.1035    -15.3693
      spss     6.96497e-5    0.974822  6.78960e-5    0.041333   -5998.46592868    -69.81465602    -5998.4659    -69.8147
      gr        0.0728755     1.14781   0.0836471     0.41961   -6866.66397769    -18.04844053    -6866.6640    -18.0484
      kho      1.37844e-8     1.10672  1.52554e-8   0.0068482   -5681.93283427   -130.92398222    -5681.9328   -130.9240

ep    cz         0.962379     1.00019    0.962563     0.96311   -7153.87763811      0.27755629    -7153.8776     -0.2776
      ep        0.0368643     1.13589   0.0418737    0.036135   -6747.90815601    -23.08184206    -6747.9082    -23.0818
      fep      2.79216e-5     1.48746  4.15323e-5  0.00075684   -6314.43483666    -73.38998877    -6314.4348    -73.3900

mu    mu         0.641686    0.941178    0.603940     0.62766   -6214.82243011     -3.66824545    -6214.8224     -3.6682
      cel       0.0296168     2.04828   0.0606634     0.10539   -6072.83990978    -20.38540931    -6072.8399    -20.3854
      fcel      0.0220535     2.04828   0.0451717    0.078476   -5741.79014664    -22.53035261    -5741.7901    -22.5304
      pa         0.142918     6.48541    0.926881     0.18087   -6176.82146507      0.55233095    -6176.8215     -0.5523
      mat     0.000969936     83.9376   0.0814142   0.0070199   -6464.28348920    -18.24526536    -6464.2835    -18.2453
      fmu     0.000372884     1.14174 0.000425735  0.00058076   -5778.86517098    -56.46032906    -5778.8652    -56.4603

pa    mu        0.0558100     10.8209    0.603912    0.049427   -6214.82243011     -3.66858701    -6214.8224     -3.6686
      cel      5.12351e-5     1183.85   0.0606546   0.0038392   -6072.83990978    -20.38646600    -6072.8399    -20.3865
      fcel     3.81512e-5     1183.85   0.0451652   0.0028588   -5741.79014664    -22.53140930    -5741.7901    -22.5314
      pa         0.904675     1.02459    0.926917     0.91147   -6176.82146507      0.55205375    -6176.8215     -0.5521
      mat      0.00843683     9.65033   0.0814182    0.032303   -6464.28348920    -18.24490514    -6464.2835    -18.2449
      fmu      5.83553e-6     72.9488 0.000425695  0.00010455   -5778.86517098    -56.46101950    -5778.8652    -56.4610

bi    phl       0.0686506     1.73170    0.118882     0.30178   -6481.48486134    -15.49134596    -6481.4849    -15.4913
      annm      0.0945639     1.46331    0.138377     0.46949   -5495.87491979    -14.38680002    -5495.8749    -14.3868
      obi        0.120076     1.37104    0.164629    0.058349   -6154.94821416    -13.12313448    -6154.9482    -13.1231
      east     0.00461287     3.37190   0.0155542    0.070094   -6591.95609234    -30.28572140    -6591.9561    -30.2857
      tbi     0.000246762     23.4342  0.00578267    0.096058   -6429.69931208    -37.48329383    -6429.6993    -37.4833
      fbi     0.000181997     2.82892 0.000514855   0.0027655   -6183.99883321    -55.07773385    -6183.9988    -55.0777
      mmbi     2.54993e-9     1.85140  4.72094e-9   0.0014639   -5846.61346052   -139.45611232    -5846.6135   -139.4561

q                                                               -941.0700
H2O                                                             -348.6440
sph                                                            -2706.5826

===========================================================

g ep mu pa bi q H2O sph  {11.4197, 604.657}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.87590   0.42210   0.04131   0.00685
ep        f(ep)     Q(ep)
        0.01856   0.01781
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.42807   0.81698   0.00058   0.18307   0.00715
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.42807   0.99316   0.00011   0.91042   0.03251
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51925   0.00149   0.07101   0.00277   0.09717   0.14767

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06659   0.47000   0.04131   0.42210   0.99315   0.00685
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00075   0.99925   0.03637   0.96363
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.80978   0.18307   0.00715   0.10468   0.07835   0.81698   0.99942   0.00058   0.58794   0.41206
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05708   0.91042   0.03251   0.00391   0.00293   0.99316   0.99989   0.00011   0.48717   0.51283
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30096   0.00149   0.52661   0.00277   0.09717   0.07101   0.52849   0.00149   0.47002   0.46311   0.53689   0.90283   0.09717

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993147    1.266314    0.199773    1.423698           0           0           0    0.123920    0.006853
ep        0.500000           3    1.481440           2           0    0.037119           0           0           0           0    0.018560
mu               1    3.175873    1.320263    0.007149    0.104676    0.078925    0.404890    0.091536           0           0    0.000290
pa               1    2.974338    1.509357    0.032506    0.003914    0.003035    0.028538    0.455209           0           0    0.000053
bi        0.902832    2.926224    0.572393           0    1.357933    1.469419    0.500000           0    0.097168    0.004471    0.001383
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02272031              0.08571148  0.13294061  0.11124417  0.19688543  0.44569565  0.00480235

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14016529  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6220.7386  -5532.4557      0.7841    12.05590     3.91311
ep            -7142.6592  -6462.7162      0.7746    13.73082     3.31677
mu            -6166.6081  -5505.1159      0.7536    13.96635     2.84644
pa            -6190.3598  -5549.9637      0.7295    13.31616     2.88153
bi            -6022.1853  -5252.6805      0.8766    15.16295     3.07286
q              -941.4523   -849.6819      0.1045     2.26728     2.64987
H2O            -349.0921   -232.8606      0.1324     1.82159     0.98897
sph           -2707.6761  -2435.6210      0.3099     5.56442     3.52310

sys           -664.52577  -557.80998     0.12157     2.00230     2.09148

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000291255     4.48304  0.00130571    0.059738   -6533.32155114    -48.46904040    -6533.3216    -48.4690
      alm        0.102403     1.16205    0.118998     0.47000   -5579.85309065    -15.53583467    -5579.8531    -15.5358
      spss     6.95168e-5    0.974533  6.77464e-5    0.041307   -6001.18074746    -70.06314421    -6001.1807    -70.0631
      gr        0.0741802     1.14539   0.0849654     0.42210   -6869.14924041    -17.99438956    -6869.1492    -17.9944
      kho      1.38675e-8     1.09600  1.51987e-8   0.0068529   -5684.65996749   -131.38694303    -5684.6600   -131.3869

ep    cz         0.962908     1.00019    0.963086     0.96363   -7156.59663641      0.27451182    -7156.5966     -0.2745
      ep        0.0363401     1.13556   0.0412665    0.035615   -6750.73416279    -23.26528316    -6750.7342    -23.2653
      fep      2.73461e-5     1.48582  4.06313e-5  0.00075194   -6317.33341778    -73.79434949    -6317.3334    -73.7943

mu    mu         0.640737    0.941308    0.603131     0.62618   -6217.46764977     -3.69024220    -6217.4676     -3.6902
      cel       0.0292836     2.05898   0.0602944     0.10468   -6075.48032978    -20.49778993    -6075.4803    -20.4978
      fcel      0.0219174     2.05898   0.0451275    0.078345   -5744.56514244    -22.61249670    -5744.5651    -22.6125
      pa         0.144856     6.39379    0.926176     0.18307   -6179.38771282      0.55972383    -6179.3877     -0.5597
      mat     0.000991104     81.8670   0.0811387   0.0071488   -6466.81641810    -18.33073184    -6466.8164    -18.3307
      fmu     0.000371598     1.14552 0.000425672  0.00057962   -5781.63685794    -56.64935325    -5781.6369    -56.6494

pa    mu        0.0566427     10.6475    0.603103    0.050127   -6217.46764977     -3.69058130    -6217.4676     -3.6906
      cel      5.30165e-5     1137.11   0.0602858   0.0039142   -6075.48032978    -20.49883906    -6075.4803    -20.4988
      fcel     3.96804e-5     1137.11   0.0451210   0.0029296   -5744.56514244    -22.61354584    -5744.5651    -22.6135
      pa         0.903496     1.02514    0.926211     0.91042   -6179.38771282      0.55944897    -6179.3877     -0.5594
      mat      0.00848959     9.55790   0.0811427    0.032506   -6466.81641810    -18.33037440    -6466.8164    -18.3304
      fmu      5.98671e-6     71.0962 0.000425632  0.00010568   -5781.63685794    -56.65003885    -5781.6369    -56.6500

bi    phl       0.0681424     1.73192    0.118018     0.30096   -6484.33026143    -15.59620262    -6484.3303    -15.5962
      annm      0.0943123     1.46100    0.137790     0.47002   -5499.05931743    -14.46567662    -5499.0593    -14.4657
      obi        0.119235     1.37081    0.163449    0.056589   -6157.90661343    -13.21933116    -6157.9066    -13.2193
      east     0.00465983     3.36033   0.0156586    0.071010   -6594.76877910    -30.33770754    -6594.7688    -30.3377
      tbi     0.000254840     23.0626  0.00587728    0.097168   -6432.38397040    -37.48962767    -6432.3840    -37.4896
      fbi     0.000181522     2.82250 0.000512344   0.0027662   -6186.93798727    -55.29674698    -6186.9380    -55.2967
      mmbi     2.68293e-9     1.84739  4.95642e-9   0.0014902   -5849.81496602   -139.56506280    -5849.8150   -139.5651

q                                                               -941.4523
H2O                                                             -349.0921
sph                                                            -2707.6761

===========================================================

g ep mu pa bi q H2O sph  {11.3849, 607.570}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.87514   0.42461   0.04128   0.00686
ep        f(ep)     Q(ep)
        0.01830   0.01755
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.42931   0.81782   0.00058   0.18529   0.00728
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.42931   0.99301   0.00011   0.90936   0.03271
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51957   0.00152   0.07193   0.00277   0.09828   0.14707

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06669   0.46742   0.04128   0.42461   0.99314   0.00686
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00075   0.99925   0.03585   0.96415
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.80743   0.18529   0.00728   0.10397   0.07821   0.81782   0.99942   0.00058   0.58745   0.41255
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05794   0.90936   0.03271   0.00399   0.00300   0.99301   0.99989   0.00011   0.48714   0.51286
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30013   0.00152   0.52538   0.00277   0.09828   0.07193   0.52794   0.00152   0.47055   0.46265   0.53735   0.90172   0.09828

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993142    1.273838    0.200063    1.415982           0           0           0    0.123833    0.006858
ep        0.500000    3.000000    1.481700           2           0    0.036601           0           0           0           0    0.018300
mu        1.000000    3.174898    1.321173    0.007279    0.103966    0.078789    0.403716    0.092644           0           0    0.000289
pa               1    2.974286    1.509308    0.032706    0.003990    0.003109    0.028968    0.454679           0           0    0.000053
bi        0.901719    2.925306    0.573311           0    1.356001    1.469240    0.500000           0    0.098281    0.004550    0.001383
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02266352              0.08556716  0.13291592  0.11144552  0.19694819  0.44571044  0.00474925

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14017960  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6226.7605  -5534.9754      0.7855    12.05968     3.91082
ep            -7145.5936  -6461.9279      0.7763    13.73227     3.31631
mu            -6169.3842  -5504.2595      0.7552    13.96726     2.84598
pa            -6193.0040  -5548.9686      0.7313    13.31979     2.88089
bi            -6025.3949  -5251.7950      0.8784    15.16509     3.07258
q              -941.8360   -849.5468      0.1048     2.26787     2.64918
H2O            -349.5414   -232.7278      0.1326     1.82507     0.98709
sph           -2708.7733  -2435.2423      0.3106     5.56492     3.52278

sys           -664.94986  -557.66833     0.12181     2.00419     2.08951

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000292523     4.48201  0.00131109    0.059830   -6535.80394437    -48.59970439    -6535.8039    -48.5997
      alm        0.100728     1.16269    0.117116     0.46742   -5582.61115406    -15.70409632    -5582.6112    -15.7041
      spss     6.93687e-5    0.974254  6.75827e-5    0.041278   -6003.90399213    -70.31329605    -6003.9040    -70.3133
      gr        0.0755096     1.14300   0.0863073     0.42461   -6871.64309401    -17.93934587    -6871.6431    -17.9393
      kho      1.39475e-8     1.08545  1.51393e-8   0.0068577   -5687.39567121   -131.85150935    -5687.3957   -131.8515

ep    cz         0.963426     1.00018    0.963599     0.96415   -7159.32480615      0.27152744    -7159.3248     -0.2715
      ep        0.0358270     1.13524   0.0406723    0.035107   -6753.56957112    -23.44866734    -6753.5696    -23.4487
      fep      2.67865e-5     1.48418  3.97560e-5  0.00074710   -6320.24152186    -74.19864497    -6320.2415    -74.1986

mu    mu         0.639767    0.941459    0.602315     0.62468   -6220.12210526     -3.71240478    -6220.1221     -3.7124
      cel       0.0289527     2.06988   0.0599286     0.10397   -6078.12994868    -20.61035360    -6078.1299    -20.6104
      fcel      0.0217802     2.06988   0.0450825    0.078211   -5747.34942472    -22.69481956    -5747.3494    -22.6948
      pa         0.146813     6.30374    0.925470     0.18529   -6181.96295525      0.56716798    -6181.9630     -0.5672
      mat      0.00101258     79.8549   0.0808595   0.0072789   -6469.35820709    -18.41678432    -6469.3582    -18.4168
      fmu     0.000370297     1.14936 0.000425604  0.00057846   -5784.41796868    -56.83846844    -5784.4180    -56.8385

pa    mu        0.0574865     10.4770    0.602287    0.050837   -6220.12210526     -3.71274142    -6220.1221     -3.7127
      cel      5.48545e-5     1092.35   0.0599201   0.0039902   -6078.12994868    -20.61139520    -6078.1299    -20.6114
      fcel     4.12654e-5     1092.35   0.0450761   0.0030017   -5747.34942472    -22.69586116    -5747.3494    -22.6959
      pa         0.902307     1.02571    0.925504     0.90936   -6181.96295525      0.56689546    -6181.9630     -0.5669
      mat      0.00854135     9.46729   0.0808635    0.032706   -6469.35820709    -18.41642981    -6469.3582    -18.4164
      fmu      6.14133e-6     69.2951 0.000425564  0.00010682   -5784.41796868    -56.83914919    -5784.4180    -56.8391

bi    phl       0.0676369     1.73216    0.117158     0.30013   -6487.18533906    -15.70147209    -6487.1853    -15.7015
      annm      0.0940572     1.45873    0.137204     0.47055   -5502.25371107    -14.54489752    -5502.2537    -14.5449
      obi        0.118399     1.37059    0.162276    0.054831   -6160.87479640    -13.31591782    -6160.8748    -13.3159
      east     0.00470660     3.34890   0.0157619    0.071927   -6597.59109842    -30.39017122    -6597.5911    -30.3902
      tbi     0.000263111     22.6989  0.00597234    0.098281   -6435.07769486    -37.49650694    -6435.0777    -37.4965
      fbi     0.000181039     2.81616 0.000509834   0.0027667   -6189.88696184    -55.51616280    -6189.8870    -55.5162
      mmbi     2.82172e-9     1.84344  5.20167e-9   0.0015168   -5853.02628761   -139.67442734    -5853.0263   -139.6744

q                                                               -941.8360
H2O                                                             -349.5414
sph                                                            -2708.7733

===========================================================

g ep mu pa bi q H2O sph  {11.3497, 610.482}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.87439   0.42714   0.04125   0.00686
ep        f(ep)     Q(ep)
        0.01805   0.01730
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.43055   0.81867   0.00058   0.18752   0.00741
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.43055   0.99286   0.00011   0.90829   0.03290
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51989   0.00154   0.07285   0.00277   0.09940   0.14647

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06678   0.46484   0.04125   0.42714   0.99314   0.00686
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00074   0.99926   0.03535   0.96465
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.80507   0.18752   0.00741   0.10326   0.07807   0.81867   0.99942   0.00058   0.58696   0.41304
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05881   0.90829   0.03290   0.00407   0.00308   0.99286   0.99989   0.00011   0.48712   0.51288
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.29930   0.00154   0.52414   0.00277   0.09940   0.07285   0.52739   0.00154   0.47107   0.46219   0.53781   0.90060   0.09940

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993137    1.281414    0.200334    1.408241           0           0           0    0.123736    0.006863
ep        0.500000           3    1.481953           2           0    0.036093           0           0           0           0    0.018047
mu               1    3.173922    1.322084    0.007410    0.103260    0.078650    0.402533    0.093762           0           0    0.000289
pa               1    2.974240    1.509254    0.032902    0.004067    0.003183    0.029403    0.454145           0           0    0.000054
bi        0.900602    2.924386    0.574230           0    1.354074    1.469051    0.500000           0    0.099398    0.004631    0.001384
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02260738              0.08542223  0.13289141  0.11164683  0.19701091  0.44572540  0.00469583

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14019396  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6232.8039  -5537.5146      0.7869    12.06349     3.90853
ep            -7148.5330  -6461.1382      0.7779    13.73373     3.31585
mu            -6172.1700  -5503.4075      0.7568    13.96816     2.84552
pa            -6195.6564  -5547.9749      0.7330    13.32345     2.88024
bi            -6028.6176  -5250.9174      0.8801    15.16725     3.07228
q              -942.2212   -849.4122      0.1050     2.26847     2.64849
H2O            -349.9922   -232.5957      0.1329     1.82858     0.98519
sph           -2709.8741  -2434.8651      0.3112     5.56542     3.52247

sys           -665.37536  -557.52727     0.12205     2.00610     2.08752

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000293711     4.48108  0.00131614    0.059915   -6538.29469181    -48.73214982    -6538.2947    -48.7321
      alm       0.0990661     1.16335    0.115248     0.46484   -5585.37782681    -15.87413903    -5585.3778    -15.8741
      spss     6.92054e-5    0.973987  6.74051e-5    0.041245   -6006.63582897    -70.56513245    -6006.6358    -70.5651
      gr        0.0768641     1.14062   0.0876731     0.42714   -6874.14571622    -17.88330502    -6874.1457    -17.8833
      kho      1.40243e-8     1.07508  1.50772e-8   0.0068626   -5690.14011567   -132.31771387    -5690.1401   -132.3177

ep    cz         0.963933     1.00017    0.964100     0.96465   -7162.06234088      0.26860149    -7162.0623     -0.2686
      ep        0.0353249     1.13492   0.0400908    0.034609   -6756.41457850    -23.63199753    -6756.4146    -23.6320
      fep      2.62422e-5     1.48255  3.89054e-5  0.00074233   -6323.15935068    -74.60288242    -6323.1594    -74.6029

mu    mu         0.638775    0.941632    0.601491     0.62316   -6222.78599672     -3.73473099    -6222.7860     -3.7347
      cel       0.0286240     2.08097   0.0595658     0.10326   -6080.78896590    -20.72311537    -6080.7890    -20.7231
      fcel      0.0216421     2.08097   0.0450367    0.078073   -5750.14319458    -22.77733619    -5750.1432    -22.7773
      pa         0.148790     6.21522    0.924762     0.18752   -6184.54738106      0.57466410    -6184.5474     -0.5747
      mat      0.00103437     77.8994   0.0805768   0.0074103   -6471.90904011    -18.50341591    -6471.9090    -18.5034
      fmu     0.000368981     1.15326 0.000425530  0.00057730   -5787.20870865    -57.02767564    -5787.2087    -57.0277

pa    mu        0.0583416     10.3093    0.601464    0.051556   -6222.78599672     -3.73506517    -6222.7860     -3.7351
      cel      5.67508e-5     1049.46   0.0595575   0.0040674   -6080.78896590    -20.72414947    -6080.7890    -20.7241
      fcel     4.29083e-5     1049.46   0.0450303   0.0030753   -5750.14319458    -22.77837028    -5750.1432    -22.7784
      pa         0.901107     1.02629    0.924796     0.90829   -6184.54738106      0.57439391    -6184.5474     -0.5744
      mat      0.00859210     9.37846   0.0805807    0.032902   -6471.90904011    -18.50306456    -6471.9090    -18.5031
      fmu      6.29948e-6     67.5439 0.000425491  0.00010796   -5787.20870865    -57.02835156    -5787.2087    -57.0284

bi    phl       0.0671341     1.73241    0.116304     0.29930   -6490.05030841    -15.80715586    -6490.0503    -15.8072
      annm      0.0937988     1.45649    0.136617     0.47107   -5505.45832128    -14.62446262    -5505.4583    -14.6245
      obi        0.117567     1.37038    0.161111    0.053073   -6163.85297936    -13.41289541    -6163.8530    -13.4129
      east     0.00475319     3.33761   0.0158643    0.072846   -6600.42326131    -30.44310054    -6600.4233    -30.4431
      tbi     0.000271578     22.3430  0.00606786    0.099398   -6437.78069097    -37.50392721    -6437.7807    -37.5039
      fbi     0.000180550     2.80990 0.000507326   0.0027671   -6192.84597324    -55.73597265    -6192.8460    -55.7360
      mmbi     2.96651e-9     1.83954  5.45701e-9   0.0015437   -5856.24764303   -139.78420520    -5856.2476   -139.7842

q                                                               -942.2212
H2O                                                             -349.9922
sph                                                            -2709.8741

===========================================================

g ep mu pa bi q H2O sph  {11.3143, 613.394}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.87363   0.42968   0.04121   0.00687
ep        f(ep)     Q(ep)
        0.01780   0.01706
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.43178   0.81951   0.00058   0.18978   0.00754
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.43178   0.99270   0.00011   0.90721   0.03310
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.52021   0.00157   0.07377   0.00277   0.10052   0.14587

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06686   0.46225   0.04121   0.42968   0.99313   0.00687
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00074   0.99926   0.03486   0.96514
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.80268   0.18978   0.00754   0.10256   0.07793   0.81951   0.99942   0.00058   0.58647   0.41353
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05969   0.90721   0.03310   0.00415   0.00315   0.99270   0.99989   0.00011   0.48710   0.51290
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.29847   0.00157   0.52290   0.00277   0.10052   0.07377   0.52684   0.00157   0.47159   0.46173   0.53827   0.89948   0.10052

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993132    1.289043    0.200586    1.400476           0           0           0    0.123630    0.006868
ep        0.500000           3    1.482202           2           0    0.035597           0           0           0           0    0.017798
mu        1.000000    3.172944    1.322996    0.007543    0.102556    0.078507    0.401339    0.094890           0           0    0.000288
pa        1.000000    2.974201    1.509197    0.033095    0.004146    0.003259    0.029845    0.453607           0           0    0.000055
bi        0.899482    2.923465    0.575151           0    1.352152    1.468850    0.500000           0    0.100518    0.004712    0.001384
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02255189              0.08527662  0.13286713  0.11184813  0.19707359  0.44574054  0.00464209

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14020836  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6238.8690  -5540.0737      0.7882    12.06732     3.90623
ep            -7151.4776  -6460.3474      0.7796    13.73520     3.31539
mu            -6174.9658  -5502.5601      0.7585    13.96905     2.84505
pa            -6198.3171  -5546.9826      0.7347    13.32714     2.87959
bi            -6031.8537  -5250.0478      0.8819    15.16941     3.07199
q              -942.6078   -849.2780      0.1053     2.26907     2.64778
H2O            -350.4443   -232.4644      0.1331     1.83212     0.98329
sph           -2710.9787  -2434.4895      0.3119     5.56592     3.52215

sys           -665.80229  -557.38677     0.12229     2.00802     2.08552

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000294818     4.48024  0.00132086    0.059995   -6540.79395661    -48.86640395    -6540.7940    -48.8664
      alm       0.0974174     1.16400    0.113394     0.46225   -5588.15327434    -16.04599268    -5588.1533    -16.0460
      spss     6.90269e-5    0.973729  6.72135e-5    0.041210   -6009.37642795    -70.81867458    -6009.3764    -70.8187
      gr        0.0782444     1.13827   0.0890636     0.42968   -6876.65728875    -17.82626219    -6876.6573    -17.8263
      kho      1.40978e-8     1.06487  1.50123e-8   0.0068676   -5692.89347492   -132.78559064    -5692.8935   -132.7856

ep    cz         0.964429     1.00017    0.964591     0.96514   -7164.80943841      0.26573236    -7164.8094     -0.2657
      ep        0.0348334     1.13459   0.0395217    0.034121   -6759.26938681    -23.81527689    -6759.2694    -23.8153
      fep      2.57127e-5     1.48093  3.80787e-5  0.00073762   -6326.08711045    -75.00706951    -6326.0871    -75.0071

mu    mu         0.637762    0.941826    0.600661     0.62161   -6225.45952874     -3.75721865    -6225.4595     -3.7572
      cel       0.0282974     2.09227   0.0592059     0.10256   -6083.45758529    -20.83609061    -6083.4576    -20.8361
      fcel      0.0215029     2.09227   0.0449899    0.077931   -5752.94665757    -22.86006186    -5752.9467    -22.8601
      pa         0.150788     6.12816    0.924053     0.18978   -6187.14118320      0.58221291    -6187.1412     -0.5822
      mat      0.00105648     75.9985   0.0802907   0.0075430   -6474.46910520    -18.59062008    -6474.4691    -18.5906
      fmu     0.000367650     1.15722 0.000425452  0.00057614   -5790.00928789    -57.21697607    -5790.0093    -57.2170

pa    mu        0.0592083     10.1444    0.600634    0.052285   -6225.45952874     -3.75755036    -6225.4595     -3.7576
      cel      5.87073e-5     1008.35   0.0591976   0.0041458   -6083.45758529    -20.83711722    -6083.4576    -20.8371
      fcel     4.46111e-5     1008.35   0.0449836   0.0031503   -5752.94665757    -22.86108848    -5752.9467    -22.8611
      pa         0.899898     1.02688    0.924086     0.90721   -6187.14118320      0.58194504    -6187.1412     -0.5819
      mat      0.00864183     9.29137   0.0802945    0.033095   -6474.46910520    -18.59027220    -6474.4691    -18.5903
      fmu      6.46125e-6     65.8408 0.000425414  0.00010912   -5790.00928789    -57.21764714    -5790.0093    -57.2176

bi    phl       0.0666338     1.73267    0.115455     0.29847   -6492.92538838    -15.91325552    -6492.9254    -15.9133
      annm      0.0935371     1.45430    0.136031     0.47159   -5508.67337355    -14.70437184    -5508.6734    -14.7044
      obi        0.116739     1.37018    0.159953    0.051316   -6166.84138344    -13.51026497    -6166.8414    -13.5103
      east     0.00479960     3.32646   0.0159657    0.073768   -6603.26548345    -30.49648353    -6603.2655    -30.4965
      tbi     0.000280243     21.9945  0.00616381     0.10052   -6440.49316879    -37.51188398    -6440.4932    -37.5119
      fbi     0.000180054     2.80372 0.000504819   0.0027673   -6195.81524260    -55.95616794    -6195.8152    -55.9562
      mmbi     3.11750e-9     1.83569  5.72276e-9   0.0015708   -5859.47925490   -139.89439505    -5859.4793   -139.8944

q                                                               -942.6078
H2O                                                             -350.4443
sph                                                            -2710.9787

===========================================================

g ep mu pa bi q H2O sph  {11.2785, 616.306}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.87288   0.43224   0.04117   0.00687
ep        f(ep)     Q(ep)
        0.01756   0.01682
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.43301   0.82036   0.00057   0.19206   0.00768
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.43301   0.99255   0.00011   0.90613   0.03329
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.52053   0.00160   0.07469   0.00277   0.10164   0.14528

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06694   0.45965   0.04117   0.43224   0.99313   0.00687
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00073   0.99927   0.03438   0.96562
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.80027   0.19206   0.00768   0.10185   0.07779   0.82036   0.99943   0.00057   0.58598   0.41402
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06059   0.90613   0.03329   0.00423   0.00323   0.99255   0.99989   0.00011   0.48708   0.51292
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.29764   0.00160   0.52166   0.00277   0.10164   0.07469   0.52630   0.00160   0.47210   0.46127   0.53873   0.89836   0.10164

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0    3.000000    0.993127    1.296725    0.200819    1.392686           0           0           0    0.123514    0.006873
ep        0.500000    3.000000    1.482445           2           0    0.035110           0           0           0           0    0.017555
mu               1    3.171964    1.323911    0.007677    0.101855    0.078361    0.400134    0.096028           0           0    0.000287
pa               1    2.974167    1.509135    0.033285    0.004225    0.003337    0.030293    0.453065           0           0    0.000055
bi        0.898359    2.922542    0.576074           0    1.350235    1.468639    0.500000           0    0.101641    0.004795    0.001384
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02249702              0.08513027  0.13284311  0.11204946  0.19713625  0.44575586  0.00458803

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14022282  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6244.9562  -5542.6531      0.7896    12.07117     3.90392
ep            -7154.4277  -6459.5560      0.7812    13.73667     3.31493
mu            -6177.7718  -5501.7178      0.7601    13.96995     2.84458
pa            -6200.9865  -5545.9922      0.7364    13.33085     2.87894
bi            -6035.1033  -5249.1866      0.8836    15.17158     3.07169
q              -942.9960   -849.1442      0.1055     2.26968     2.64707
H2O            -350.8978   -232.3355      0.1333     1.83570     0.98137
sph           -2712.0871  -2434.1155      0.3125     5.56642     3.52183

sys           -666.23069  -557.24766     0.12253     2.00997     2.08350

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000295843     4.47949  0.00132523    0.060067   -6543.30190569    -49.00249648    -6543.3019    -49.0025
      alm       0.0957818     1.16467    0.111554     0.45965   -5590.93766591    -16.21968925    -5590.9377    -16.2197
      spss     6.88334e-5    0.973482  6.70081e-5    0.041171   -6012.12596297    -71.07394052    -6012.1260    -71.0739
      gr        0.0796508     1.13595   0.0904790     0.43224   -6879.17799747    -17.76821121    -6879.1780    -17.7682
      kho      1.41680e-8     1.05482  1.49447e-8   0.0068727   -5695.65592701   -133.25517556    -5695.6559   -133.2552

ep    cz         0.964915     1.00016    0.965072     0.96562   -7167.56630110      0.26291848    -7167.5663     -0.2629
      ep        0.0343522     1.13427   0.0389645    0.033644   -6762.13420258    -23.99850837    -6762.1342    -23.9985
      fep      2.51976e-5     1.47931  3.72750e-5  0.00073297   -6329.02501211    -75.41121345    -6329.0250    -75.4112

mu    mu         0.636727    0.942044    0.599825     0.62005   -6228.14291060     -3.77986570    -6228.1429     -3.7799
      cel       0.0279728     2.10378   0.0588486     0.10185   -6086.13601535    -20.94929455    -6086.1360    -20.9493
      fcel      0.0213625     2.10378   0.0449421    0.077786   -5755.76002395    -22.94301162    -5755.7600    -22.9430
      pa         0.152807     6.04253    0.923342     0.19206   -6189.74455906      0.58981522    -6189.7446     -0.5898
      mat      0.00107891     74.1504   0.0800013   0.0076770   -6477.03859468    -18.67839145    -6477.0386    -18.6784
      fmu     0.000366303     1.16125 0.000425369  0.00057496   -5792.81992126    -57.40637076    -5792.8199    -57.4064

pa    mu        0.0600870     9.98216    0.599798    0.053023   -6228.14291060     -3.78019498    -6228.1429     -3.7802
      cel      6.07260e-5     968.951   0.0588405   0.0042252   -6086.13601535    -20.95031341    -6086.1360    -20.9503
      fcel     4.63759e-5     968.951   0.0449360   0.0032268   -5755.76002395    -22.94403047    -5755.7600    -22.9440
      pa         0.898678     1.02748    0.923375     0.90613   -6189.74455906      0.58954970    -6189.7446     -0.5895
      mat      0.00869055     9.20598   0.0800050    0.033285   -6477.03859468    -18.67804364    -6477.0386    -18.6780
      fmu      6.62673e-6     64.1842 0.000425331  0.00011027   -5792.81992126    -57.40703705    -5792.8199    -57.4070

bi    phl       0.0661362     1.73295    0.114611     0.29764   -6495.81080298    -16.01977292    -6495.8108    -16.0198
      annm      0.0932722     1.45214    0.135445     0.47210   -5511.89909857    -14.78462493    -5511.8991    -14.7846
      obi        0.115915     1.36999    0.158803    0.049560   -6169.84023484    -13.60802764    -6169.8402    -13.6080
      east     0.00484582     3.31545   0.0160661    0.074690   -6606.11798552    -30.55030875    -6606.1180    -30.5503
      tbi     0.000289108     21.6535  0.00626018     0.10164   -6443.21534315    -37.52037303    -6443.2153    -37.5204
      fbi     0.000179551     2.79762 0.000502316   0.0027675   -6198.79499618    -56.17674029    -6198.7950    -56.1767
      mmbi     3.27490e-9     1.83189  5.99926e-9   0.0015982   -5862.72135097   -140.00498931    -5862.7214   -140.0050

q                                                               -942.9960
H2O                                                             -350.8978
sph                                                            -2712.0871

===========================================================

g ep mu pa bi q H2O sph  {11.2423, 619.218}  kbar/C
ovar = 5; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.87213   0.43482   0.04113   0.00688
ep        f(ep)     Q(ep)
        0.01732   0.01659
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.43422   0.82121   0.00057   0.19435   0.00781
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.43422   0.99239   0.00011   0.90504   0.03347
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.52085   0.00163   0.07561   0.00277   0.10277   0.14470

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06701   0.45704   0.04113   0.43482   0.99312   0.00688
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00073   0.99927   0.03391   0.96609
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.79784   0.19435   0.00781   0.10116   0.07764   0.82121   0.99943   0.00057   0.58549   0.41451
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06149   0.90504   0.03347   0.00431   0.00330   0.99239   0.99989   0.00011   0.48707   0.51293
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.29680   0.00163   0.52042   0.00277   0.10277   0.07561   0.52576   0.00163   0.47262   0.46081   0.53919   0.89723   0.10277

oxide compositions
               H2O        SiO2       Al2O3         CaO         MgO         FeO         K2O        Na2O        TiO2         MnO           O
bulk       49.9975     35.5632      5.8047      0.6950      2.3249      2.8899      1.3399      0.9950      0.3350      0.0500      0.0050

g                0           3    0.993122    1.304460    0.201032    1.384873           0           0           0    0.123390    0.006878
ep        0.500000    3.000000    1.482683    2.000000           0    0.034634           0           0           0           0    0.017317
mu               1    3.170980    1.324827    0.007812    0.101156    0.078210    0.398918    0.097176           0           0    0.000287
pa               1    2.974139    1.509069    0.033471    0.004306    0.003416    0.030747    0.452518           0           0    0.000056
bi        0.897232    2.921618    0.576998           0    1.348322    1.468418    0.500000           0    0.102768    0.004878    0.001384
q                0           1           0           0           0           0           0           0           0           0           0
H2O              1           0           0           0           0           0           0           0           0           0           0
sph              0           1           0           1           0           0           0           0           1           0           0

mode             g          ep          mu          pa          bi           q         H2O         sph
1       0.02244278              0.08498314  0.13281936  0.11225081  0.19719890  0.44577134  0.00453367

factor           g          ep          mu          pa          bi           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.14023732  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6251.0649  -5545.2528      0.7909    12.07505     3.90161
ep            -7157.3833  -6458.7643      0.7829    13.73815     3.31447
mu            -6180.5880  -5500.8810      0.7617    13.97084     2.84411
pa            -6203.6641  -5545.0038      0.7381    13.33458     2.87828
bi            -6038.3660  -5248.3339      0.8853    15.17377     3.07139
q              -943.3857   -849.0109      0.1058     2.27029     2.64636
H2O            -351.3527   -232.2044      0.1335     1.83931     0.97944
sph           -2713.1993  -2433.7433      0.3132     5.56693     3.52151

sys           -666.66052  -557.10787     0.12277     2.01193     2.08147

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000296784     4.47884  0.00132925    0.060133   -6545.81827716    -49.14043117    -6545.8183    -49.1404
      alm       0.0941598     1.16534    0.109728     0.45704   -5593.73069450    -16.39522916    -5593.7307    -16.3952
      spss     6.86250e-5    0.973246  6.67890e-5    0.041130   -6014.88413774    -71.33091305    -6014.8841    -71.3309
      gr        0.0810838     1.13364   0.0919198     0.43482   -6881.70759755    -17.70915788    -6881.7076    -17.7092
      kho      1.42347e-8     1.04493  1.48743e-8   0.0068779   -5698.42717771   -133.72642385    -5698.4272   -133.7264

ep    cz         0.965391     1.00016    0.965543     0.96609   -7170.33266027      0.26015880    -7170.3327     -0.2602
      ep        0.0338810     1.13394   0.0384190    0.033177   -6765.00874280    -24.18166477    -6765.0087    -24.1817
      fep      2.46963e-5     1.47770  3.64937e-5  0.00072838   -6331.97276463    -75.81525460    -6331.9728    -75.8153

mu    mu         0.635671    0.942284    0.598983     0.61847   -6230.83589331     -3.80266590    -6230.8359     -3.8027
      cel       0.0276501     2.11551   0.0584940     0.10116   -6088.82400718    -21.06272427    -6088.8240    -21.0627
      fcel      0.0212210     2.11551   0.0448933    0.077636   -5758.58302340    -23.02618778    -5758.5830    -23.0262
      pa         0.154848     5.95830    0.922630     0.19435   -6192.35726133      0.59747039    -6192.3573     -0.5975
      mat      0.00110166     72.3534   0.0797088   0.0078122   -6479.61726186    -18.76670762    -6479.6173    -18.7667
      fmu     0.000364939     1.16535 0.000425281  0.00057377   -5795.64034358    -57.59582922    -5795.6403    -57.5958

pa    mu        0.0609778     9.82252    0.598956    0.053772   -6230.83589331     -3.80299273    -6230.8359     -3.8030
      cel      6.28084e-5     931.182   0.0584860   0.0043058   -6088.82400718    -21.06373558    -6088.8240    -21.0637
      fcel     4.82045e-5     931.182   0.0448872   0.0033046   -5758.58302340    -23.02719909    -5758.5830    -23.0272
      pa         0.897447     1.02810    0.922663     0.90504   -6192.35726133      0.59720719    -6192.3573     -0.5972
      mat      0.00873822     9.12228   0.0797125    0.033471   -6479.61726186    -18.76636236    -6479.6173    -18.7664
      fmu      6.79598e-6     62.5728 0.000425243  0.00011144   -5795.64034358    -57.59649069    -5795.6403    -57.5965

bi    phl       0.0656413     1.73325    0.113773     0.29680   -6498.70628348    -16.12669130    -6498.7063    -16.1267
      annm      0.0930041     1.45002    0.134858     0.47262   -5515.13517596    -14.86520836    -5515.1352    -14.8652
      obi        0.115096     1.36981    0.157660    0.047804   -6172.84924764    -13.70616775    -6172.8492    -13.7062
      east     0.00489186     3.30456   0.0161655    0.075615   -6608.98050109    -30.60455388    -6608.9805    -30.6046
      tbi     0.000298174     21.3196  0.00635695     0.10277   -6445.94696416    -37.52938750    -6445.9470    -37.5294
      fbi     0.000179043     2.79160 0.000499817   0.0027675   -6201.78495137    -56.39764318    -6201.7850    -56.3976
      mmbi     3.43889e-9     1.82815  6.28679e-9   0.0016259   -5865.97360511   -140.11597484    -5865.9736   -140.1160

q                                                               -943.3857
H2O                                                             -351.3527
sph                                                            -2713.1993
