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

g ep mu pa bi ab q H2O sph  {5.0000, 462.356}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.91633   0.31563   0.34581   0.00227
ep        f(ep)     Q(ep)
        0.01618   0.01578
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.38358   0.94440   0.00016   0.22452   0.00708
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.38358   0.99907   0.00002   0.86627   0.06267
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55442   0.00737   0.08356   0.00260   0.05332   0.18208

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.02833   0.31023   0.34581   0.31563   0.99773   0.00227
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00040   0.99960   0.03196   0.96804
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.76840   0.22452   0.00708   0.03427   0.02133   0.94440   0.99984   0.00016   0.52426   0.47574
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.07106   0.86627   0.06267   0.00058   0.00036   0.99907   0.99998   0.00002   0.46913   0.53087
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26693   0.00737   0.58621   0.00260   0.05332   0.08356   0.49891   0.00737   0.49372   0.45692   0.54308   0.94668   0.05332

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    0.997730    0.946892    0.084980    0.935236           0           0           0    1.037430    0.002270
ep        0.500000    3.000000    1.483822           2           0    0.032356           0           0           0           0    0.016178
mu               1    3.048524    1.447856    0.007076    0.034273    0.021491    0.384201    0.112261           0           0    0.000082
pa               1    2.938266    1.530390    0.062667    0.000575    0.000378    0.035531    0.433136           0           0    0.000010
bi        0.946677    2.913834    0.584865           0    1.264750    1.576257    0.500000           0    0.053323    0.022104    0.001300
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00062843  0.01123378  0.06463167  0.14107770  0.12973464              0.20268652  0.44376706  0.00624020

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13960389  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6152.6710  -5627.5162      0.7140    12.03211     3.98370
ep            -7128.4410  -6622.0086      0.6885    13.74656     3.31197
mu            -6188.4644  -5700.3197      0.6637    14.02285     2.81873
pa            -6189.2234  -5712.6150      0.6480    13.40376     2.86742
bi            -5964.9427  -5379.7138      0.7957    15.30113     3.06462
ab            -4093.0248  -3768.7437      0.4409    10.10067     2.59597
q              -942.0013   -873.6456      0.0929     2.28734     2.62663
H2O            -342.8265   -248.8387      0.1278     2.02011     0.89178
sph           -2701.6786  -2498.3224      0.2765     5.58474     3.51028

sys           -661.00138  -578.09048     0.11273     2.10582     1.98867

                    ideal       gamma    activity        prop               0         RT ln a
g     py       2.26265e-5     4.86827 0.000110152    0.026057   -6510.54264527    -55.73264258    -6510.5426    -55.7326
      alm       0.0297226     1.26709   0.0376612     0.31023   -5545.45572561    -20.05281129    -5545.4557    -20.0528
      spss      0.0411661    0.984419   0.0405246     0.34581   -5970.57254168    -19.60468381    -5970.5725    -19.6047
      gr        0.0313015     1.11199   0.0348070     0.31563   -6855.75513888    -20.53476099    -6855.7551    -20.5348
      kho     1.17086e-10     2.71455 3.17835e-10   0.0022696   -5655.43891605   -133.73833791    -5655.4389   -133.7383

ep    cz         0.967657     1.00017    0.967820     0.96804   -7140.81287725      0.20002403    -7140.8129     -0.2000
      ep        0.0319470     1.16553   0.0372351    0.031563   -6732.34155872    -20.12240010    -6732.3416    -20.1224
      fep      1.26663e-5     1.60778  2.03647e-5  0.00039632   -6297.85941859    -66.05562564    -6297.8594    -66.0556

mu    mu         0.723852     1.01179    0.732385     0.71264   -6208.09725811     -1.90460143    -6208.0973     -1.9046
      cel      0.00723704     3.01428   0.0218145    0.034273   -6065.92013756    -23.39211457    -6065.9201    -23.3921
      fcel     0.00450344     3.01428   0.0135746    0.021327   -5729.43037635    -26.29303341    -5729.4304    -26.2930
      pa         0.211505     4.24935    0.898758     0.22452   -6167.28481549      0.65275829    -6167.2848     -0.6528
      mat      0.00151215     144.400    0.218354   0.0070758   -6454.43017513     -9.30525607    -6454.4302     -9.3053
      fmu     0.000118671     1.59877 0.000189727  0.00016392   -5769.04539351    -52.40758723    -5769.0454    -52.4076

pa    mu        0.0707233     10.3551    0.732346    0.070108   -6208.09725811     -1.90493041    -6208.0973     -1.9049
      cel      8.99933e-6     2423.57   0.0218105  0.00057543   -6065.92013756    -23.39322508    -6065.9201    -23.3932
      fcel     5.60007e-6     2423.57   0.0135722  0.00035808   -5729.43037635    -26.29414391    -5729.4304    -26.2941
      pa         0.862147     1.04250    0.898787     0.86627   -6167.28481549      0.65255726    -6167.2848     -0.6526
      mat       0.0176440     12.3764    0.218369    0.062667   -6454.43017513     -9.30484518    -6454.4302     -9.3048
      fmu      1.43442e-6     132.252 0.000189705   2.0282e-5   -5769.04539351    -52.40832021    -5769.0454    -52.4083

bi    phl       0.0591030     1.99160    0.117709     0.26693   -6473.01691261    -13.08389520    -6473.0169    -13.0839
      annm       0.127112     1.47595    0.187611     0.49372   -5475.10100170    -10.23322916    -5475.1010    -10.2332
      obi        0.129797     1.46915    0.190692    0.092489   -6142.37827564    -10.13363920    -6142.3783    -10.1336
      east     0.00549798     3.91724   0.0215369    0.083565   -6583.32029483    -23.47042687    -6583.3203    -23.4704
      tbi      3.74596e-5     60.5097  0.00226667    0.053323   -6423.58517528    -37.23874297    -6423.5852    -37.2387
      fbi     0.000171111     3.17542 0.000543350   0.0026008   -6172.26843022    -45.97328864    -6172.2684    -45.9733
      mmbi     3.55830e-7     2.04476  7.27588e-7   0.0073682   -5823.57233032    -86.43069347    -5823.5723    -86.4307

ab                                                             -4093.0248
q                                                               -942.0013
H2O                                                             -342.8265
sph                                                            -2701.6786

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

g ep mu pa bi ab q H2O sph  {5.2200, 467.021}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.91524   0.31685   0.33492   0.00232
ep        f(ep)     Q(ep)
        0.01606   0.01566
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.38629   0.94186   0.00017   0.22278   0.00716
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.38629   0.99899   0.00002   0.86678   0.06236
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55437   0.00723   0.08381   0.00260   0.05469   0.18057

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.02952   0.31871   0.33492   0.31685   0.99768   0.00232
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00040   0.99960   0.03171   0.96829
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.77006   0.22278   0.00716   0.03568   0.02246   0.94186   0.99983   0.00017   0.52549   0.47451
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.07087   0.86678   0.06236   0.00062   0.00039   0.99899   0.99998   0.00002   0.46933   0.53067
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26716   0.00723   0.58451   0.00260   0.05469   0.08381   0.49859   0.00723   0.49418   0.45679   0.54321   0.94531   0.05469

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    0.997677    0.950558    0.088549    0.960781           0           0           0    1.004757    0.002323
ep        0.500000           3    1.483942           2           0    0.032116           0           0           0           0    0.016058
mu               1    3.050986    1.445351    0.007157    0.035683    0.022630    0.385032    0.111390           0           0    0.000085
pa               1    2.938652    1.530159    0.062355    0.000618    0.000411    0.035433    0.433390           0           0    0.000011
bi        0.945306    2.913588    0.585113           0    1.264348    1.575468    0.500000           0    0.054694    0.021676    0.001299
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00070034  0.01130149  0.06457840  0.14113867  0.12967357              0.20263988  0.44379151  0.00617614

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13962136  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6151.4818  -5620.8152      0.7170    12.03015     3.98321
ep            -7128.7286  -6616.8618      0.6916    13.74579     3.31210
mu            -6187.8890  -5694.3727      0.6668    14.02054     2.81963
pa            -6189.1838  -5707.4205      0.6509    13.40069     2.86802
bi            -5965.6358  -5374.4712      0.7987    15.29650     3.06550
ab            -4092.8638  -3765.1314      0.4428    10.09805     2.59664
q              -941.9326   -872.8430      0.0933     2.28661     2.62747
H2O            -342.9796   -248.3109      0.1279     2.00912     0.89666
sph           -2701.7424  -2496.2229      0.2777     5.58401     3.51074

sys           -661.06515  -577.41536     0.11301     2.10050     1.99370

                    ideal       gamma    activity        prop               0         RT ln a
g     py       2.55957e-5     4.82480 0.000123494    0.027194   -6510.99296875    -55.38246721    -6510.9930    -55.3825
      alm       0.0322237     1.26024   0.0406095     0.31871   -5546.27544968    -19.71613839    -5546.2754    -19.7161
      spss      0.0373938    0.984061   0.0367978     0.33492   -5971.27037644    -20.32271571    -5971.2704    -20.3227
      gr        0.0316631     1.11622   0.0353430     0.31685   -6855.88503147    -20.57094923    -6855.8850    -20.5709
      kho     1.38732e-10     2.64456 3.66886e-10   0.0023227   -5656.09036787   -133.70324747    -5656.0904   -133.7032

ep    cz         0.967896     1.00017    0.968057     0.96829   -7140.99927505      0.19978997    -7140.9993     -0.1998
      ep        0.0317023     1.16449   0.0369170    0.031314   -6732.60541709    -20.30281291    -6732.6054    -20.3028
      fep      1.27278e-5     1.60316  2.04048e-5  0.00040132   -6298.15501194    -66.46241090    -6298.1550    -66.4624

mu    mu         0.723281     1.00920    0.729932     0.71175   -6208.06601022     -1.93732804    -6208.0660     -1.9373
      cel      0.00758659     2.97224   0.0225492    0.035683   -6065.90235970    -23.33659667    -6065.9024    -23.3366
      fcel     0.00477525     2.97224   0.0141932    0.022460   -5729.59221038    -26.18553777    -5729.5922    -26.1855
      pa         0.209245     4.29672    0.899069     0.22278   -6167.35604210      0.65476440    -6167.3560     -0.6548
      mat      0.00151755     140.859    0.213761   0.0071572   -6454.51526111     -9.49511124    -6454.5153     -9.4951
      fmu     0.000123042     1.57798 0.000194159  0.00017009   -5769.11470978    -52.59785484    -5769.1147    -52.5979

pa    mu        0.0705262     10.3492    0.729893    0.069837   -6208.06601022     -1.93765727    -6208.0660     -1.9377
      cel      9.65213e-6     2335.77   0.0225451  0.00061837   -6065.90235970    -23.33770298    -6065.9024    -23.3377
      fcel     6.07537e-6     2335.77   0.0141907  0.00038922   -5729.59221038    -26.18664409    -5729.5922    -26.1866
      pa         0.862628     1.04228    0.899099     0.86678   -6167.35604210      0.65456149    -6167.3560     -0.6546
      mat       0.0175421     12.1864    0.213775    0.062355   -6454.51526111     -9.49470197    -6454.5153     -9.4947
      fmu      1.51189e-6     128.406 0.000194136   2.1437e-5   -5769.11470978    -52.59858406    -5769.1147    -52.5986

bi    phl       0.0589055     1.98503    0.116929     0.26716   -6473.03851033    -13.20778646    -6473.0385    -13.2078
      annm       0.126606     1.47218    0.186387     0.49418   -5475.52419166    -10.33843077    -5475.5242    -10.3384
      obi        0.128877     1.46686    0.189044    0.090328   -6142.53373744    -10.25130082    -6142.5337    -10.2513
      east     0.00549398     3.89267   0.0213863    0.083814   -6583.34852464    -23.66245800    -6583.3485    -23.6625
      tbi      4.03692e-5     58.4169  0.00235824    0.054694   -6423.54560712    -37.23115616    -6423.5456    -37.2312
      fbi     0.000170284     3.16091 0.000538251   0.0025978   -6172.39722419    -46.32286349    -6172.3972    -46.3229
      mmbi     3.34532e-7     2.03524  6.80854e-7   0.0072252   -5824.07685733    -87.38736417    -5824.0769    -87.3874

ab                                                             -4092.8638
q                                                               -941.9326
H2O                                                             -342.9796
sph                                                            -2701.7424

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

g ep mu pa bi ab q H2O sph  {5.4400, 471.653}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.91415   0.31807   0.32389   0.00238
ep        f(ep)     Q(ep)
        0.01594   0.01554
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.38894   0.93925   0.00018   0.22104   0.00724
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.38894   0.99891   0.00002   0.86732   0.06204
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55431   0.00707   0.08403   0.00259   0.05607   0.17908

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.03074   0.32731   0.32389   0.31807   0.99762   0.00238
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00041   0.99959   0.03148   0.96852
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.77172   0.22104   0.00724   0.03712   0.02363   0.93925   0.99982   0.00018   0.52676   0.47324
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.07065   0.86732   0.06204   0.00066   0.00042   0.99891   0.99998   0.00002   0.46952   0.53048
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26739   0.00707   0.58284   0.00259   0.05607   0.08403   0.49831   0.00707   0.49462   0.45669   0.54331   0.94393   0.05607

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    0.997623    0.954201    0.092211    0.986678           0           0           0    0.971663    0.002377
ep        0.500000           3    1.484055           2           0    0.031889           0           0           0           0    0.015945
mu               1    3.053512    1.442781    0.007238    0.037122    0.023804    0.385859    0.110522           0           0    0.000088
pa               1    2.939050    1.529921    0.062036    0.000664    0.000445    0.035323    0.433659           0           0    0.000011
bi        0.943928    2.913371    0.585332           0    1.264010    1.574668    0.500000           0    0.056072    0.021215    0.001297
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00078138  0.01136518  0.06454386  0.14118880  0.12960241              0.20258987  0.44381652  0.00611197

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13963894  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6150.2328  -5614.0865      0.7199    12.02814     3.98271
ep            -7129.0028  -6611.7231      0.6945    13.74502     3.31224
mu            -6187.2867  -5688.4160      0.6698    14.01822     2.82053
pa            -6189.1326  -5702.2354      0.6537    13.39757     2.86863
bi            -5966.3233  -5369.2530      0.8016    15.29185     3.06637
ab            -4092.6978  -3761.5265      0.4446    10.09543     2.59731
q              -941.8629   -872.0424      0.0937     2.28587     2.62832
H2O            -343.1314   -247.7839      0.1280     1.99857     0.90140
sph           -2701.8028  -2494.1289      0.2788     5.58327     3.51121

sys           -661.12773  -576.74175     0.11330     2.09539     1.99857

                    ideal       gamma    activity        prop               0         RT ln a
g     py       2.89012e-5     4.78230 0.000138214    0.028360   -6511.43581550    -55.03170454    -6511.4358    -55.0317
      alm       0.0348984     1.25346   0.0437438     0.32731   -5547.08548661    -19.37911387    -5547.0855    -19.3791
      spss      0.0338155    0.983707   0.0332646     0.32389   -5971.95861442    -21.07499925    -5971.9586    -21.0750
      gr        0.0320250     1.12056   0.0358859     0.31807   -6856.00789034    -20.60527223    -6856.0079    -20.6053
      kho     1.64007e-10     2.57708 4.22659e-10   0.0023765   -5656.73209560   -133.66360974    -5656.7321   -133.6636

ep    cz         0.968124     1.00016    0.968281     0.96852   -7141.17737365      0.19960842    -7141.1774     -0.1996
      ep        0.0314701     1.16347   0.0366146    0.031077   -6732.86035621    -20.48079505    -6732.8604    -20.4808
      fep      1.27929e-5     1.59864  2.04512e-5  0.00040634   -6298.44108207    -66.86426608    -6298.4411    -66.8643

mu    mu         0.722633     1.00664    0.727431     0.71079   -6208.02759189     -1.97070777    -6208.0276     -1.9707
      cel      0.00794743     2.93139   0.0232970    0.037122   -6065.87696881    -23.28060248    -6065.8770    -23.2806
      fcel     0.00505856     2.93139   0.0148286    0.023628   -5729.74513988    -26.07819911    -5729.7451    -26.0782
      pa         0.206985     4.34524    0.899399     0.22104   -6167.42028151      0.65658830    -6167.4203     -0.6566
      mat      0.00152222     137.495    0.209298   0.0072377   -6454.59351993     -9.68519234    -6454.5935     -9.6852
      fmu     0.000127492     1.55779 0.000198605  0.00017640   -5769.17573194    -52.78679662    -5769.1757    -52.7868

pa    mu        0.0703045     10.3463    0.727392    0.069536   -6208.02759189     -1.97103728    -6208.0276     -1.9710
      cel      1.03343e-5     2253.93   0.0232928  0.00066358   -6065.87696881    -23.28170525    -6065.8770    -23.2817
      fcel     6.57783e-6     2253.93   0.0148260  0.00042237   -5729.74513988    -26.07930187    -5729.7451    -26.0793
      pa         0.863139     1.04204    0.899429     0.86732   -6167.42028151      0.65638347    -6167.4203     -0.6564
      mat       0.0174379     12.0033    0.209311    0.062036   -6454.59351993     -9.68478465    -6454.5935     -9.6848
      fmu      1.59142e-6     124.783 0.000198582   2.2636e-5   -5769.17573194    -52.78752330    -5769.1757    -52.7875

bi    phl       0.0587152     1.97860    0.116174     0.26739   -6473.05129069    -13.33056700    -6473.0513    -13.3306
      annm       0.126094     1.46856    0.185177     0.49462   -5475.93564897    -10.44346224    -5475.9356    -10.4435
      obi        0.127983     1.46458    0.187442    0.088219   -6142.67941011    -10.36816525    -6142.6794    -10.3682
      east     0.00548833     3.86900   0.0212344    0.084035   -6583.36821308    -23.85467446    -6583.3682    -23.8547
      tbi      4.34465e-5     56.4243  0.00245144    0.056072   -6423.49749086    -37.22414067    -6423.4975    -37.2241
      fbi     0.000169448     3.14694 0.000533242   0.0025945   -6172.51635313    -46.67064411    -6172.5164    -46.6706
      mmbi     3.12754e-7     2.02603  6.33648e-7   0.0070718   -5824.56902467    -88.37919353    -5824.5690    -88.3792

ab                                                             -4092.6978
q                                                               -941.8629
H2O                                                             -343.1314
sph                                                            -2701.8028

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

g ep mu pa bi ab q H2O sph  {5.6600, 476.250}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.91308   0.31928   0.31272   0.00243
ep        f(ep)     Q(ep)
        0.01584   0.01543
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39154   0.93658   0.00018   0.21932   0.00732
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39154   0.99883   0.00002   0.86789   0.06171
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55424   0.00691   0.08423   0.00259   0.05746   0.17761

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.03199   0.33602   0.31272   0.31928   0.99757   0.00243
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00041   0.99959   0.03126   0.96874
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.77337   0.21932   0.00732   0.03859   0.02483   0.93658   0.99982   0.00018   0.52805   0.47195
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.07040   0.86789   0.06171   0.00071   0.00046   0.99883   0.99998   0.00002   0.46973   0.53027
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26762   0.00691   0.58120   0.00259   0.05746   0.08423   0.49806   0.00691   0.49503   0.45659   0.54341   0.94254   0.05746

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    0.997569    0.957826    0.095965    1.012910           0           0           0    0.938162    0.002431
ep        0.500000           3    1.484162           2           0    0.031675           0           0           0           0    0.015838
mu               1    3.056103    1.440148    0.007317    0.038589    0.025014    0.386683    0.109659           0           0    0.000091
pa        1.000000    2.939462    1.529673    0.061707    0.000711    0.000481    0.035200    0.433946           0           0    0.000012
bi        0.942544    2.913184    0.585520           0    1.263742    1.573853    0.500000           0    0.057456    0.020725    0.001295
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00087256  0.01142430  0.06452923  0.14122753  0.12952019              0.20253625  0.44384214  0.00604779

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13965660  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6148.9256  -5607.3353      0.7227    12.02607     3.98222
ep            -7129.2620  -6606.5935      0.6974    13.74424     3.31238
mu            -6186.6558  -5682.4503      0.6728    14.01590     2.82143
pa            -6189.0676  -5697.0600      0.6565    13.39442     2.86925
bi            -5967.0048  -5364.0611      0.8046    15.28719     3.06724
ab            -4092.5257  -3757.9303      0.4465    10.09280     2.59799
q              -941.7921   -871.2438      0.0941     2.28513     2.62917
H2O            -343.2817   -247.2575      0.1281     1.98845     0.90598
sph           -2701.8592  -2492.0409      0.2800     5.58253     3.51167

sys           -661.18887  -576.06966     0.11358     2.09046     2.00328

                    ideal       gamma    activity        prop               0         RT ln a
g     py       3.25730e-5     4.74078 0.000154421    0.029557   -6511.86980276    -54.68054272    -6511.8698    -54.6805
      alm       0.0377542     1.24677   0.0470706     0.33602   -5547.88429494    -19.04203559    -5547.8843    -19.0420
      spss      0.0304337    0.983357   0.0299272     0.31272   -5972.63574281    -21.86384992    -5972.6357    -21.8638
      gr        0.0323878     1.12501   0.0364365     0.31928   -6856.12234784    -20.63760326    -6856.1223    -20.6376
      kho     1.93454e-10     2.51199 4.85955e-10   0.0024311   -5657.36258228   -133.61924192    -5657.3626   -133.6192

ep    cz         0.968338     1.00016    0.968492     0.96874   -7141.34568568      0.19948211    -7141.3457     -0.1995
      ep        0.0312509     1.16247   0.0363282    0.030852   -6733.10482604    -20.65615893    -6733.1048    -20.6562
      fep      1.28620e-5     1.59420  2.05046e-5  0.00041140   -6298.71604111    -67.26078854    -6298.7160    -67.2608

mu    mu         0.721907     1.00412    0.724881     0.70976   -6207.98057331     -2.00475080    -6207.9806     -2.0048
      cel      0.00831986     2.89167   0.0240583    0.038589   -6065.84253752    -23.22395795    -6065.8425    -23.2240
      fcel     0.00535366     2.89167   0.0154811    0.024831   -5729.88766301    -25.97090151    -5729.8877    -25.9709
      pa         0.204725     4.39492    0.899749     0.21932   -6167.47613486      0.65821720    -6167.4761     -0.6582
      mat      0.00152611     134.299    0.204955   0.0073170   -6454.66356456     -9.87561238    -6454.6636     -9.8756
      fmu     0.000132019     1.53816 0.000203067  0.00018284   -5769.22696307    -52.97423626    -5769.2270    -52.9742

pa    mu        0.0700585     10.3462    0.724843    0.069208   -6207.98057331     -2.00508062    -6207.9806     -2.0051
      cel      1.10459e-5     2177.64   0.0240541  0.00071112   -6065.84253752    -23.22505734    -6065.8425    -23.2251
      fcel     7.10783e-6     2177.64   0.0154783  0.00045759   -5729.88766301    -25.97200090    -5729.8877    -25.9720
      pa         0.863681     1.04180    0.899779     0.86789   -6167.47613486      0.65801041    -6167.4761     -0.6580
      mat       0.0173304     11.8271    0.204969    0.061707   -6454.66356456     -9.87520622    -6454.6636     -9.8752
      fmu      1.67296e-6     121.368 0.000203043   2.3879e-5   -5769.22696307    -52.97496051    -5769.2270    -52.9750

bi    phl       0.0585335     1.97229    0.115445     0.26762   -6473.05371941    -13.45208384    -6473.0537    -13.4521
      annm       0.125576     1.46509    0.183980     0.49503   -5476.33365244    -10.54830852    -5476.3337    -10.5483
      obi        0.127117     1.46232    0.185885    0.086164   -6142.81369709    -10.48412546    -6142.8137    -10.4841
      east     0.00548099     3.84621   0.0210810    0.084225   -6583.37784023    -24.04709074    -6583.3778    -24.0471
      tbi      4.66955e-5     54.5266  0.00254615    0.057456   -6423.43938885    -37.21774271    -6423.4394    -37.2177
      fbi     0.000168606     3.13350 0.000528327   0.0025909   -6172.62422999    -47.01645907    -6172.6242    -47.0165
      mmbi     2.90684e-7     2.01712  5.86343e-7   0.0069082   -5825.04709935    -89.40821645    -5825.0471    -89.4082

ab                                                             -4092.5257
q                                                               -941.7921
H2O                                                             -343.2817
sph                                                            -2701.8592

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

g ep mu pa bi ab q H2O sph  {5.8800, 480.812}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.91201   0.32048   0.30142   0.00249
ep        f(ep)     Q(ep)
        0.01574   0.01532
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39407   0.93385   0.00019   0.21760   0.00739
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39407   0.99874   0.00003   0.86850   0.06137
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55414   0.00673   0.08438   0.00259   0.05884   0.17616

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.03327   0.34483   0.30142   0.32048   0.99751   0.00249
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00042   0.99958   0.03106   0.96894
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.77501   0.21760   0.00739   0.04008   0.02607   0.93385   0.99981   0.00019   0.52938   0.47062
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.07013   0.86850   0.06137   0.00076   0.00049   0.99874   0.99997   0.00003   0.46995   0.53005
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26786   0.00673   0.57959   0.00259   0.05884   0.08438   0.49784   0.00673   0.49542   0.45651   0.54349   0.94116   0.05884

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    0.997513    0.961440    0.099809    1.039452           0           0           0    0.904271    0.002487
ep        0.500000    3.000000    1.484263           2           0    0.031474           0           0           0           0    0.015737
mu               1    3.058759    1.437449    0.007395    0.040084    0.026259    0.387503    0.108800           0           0    0.000095
pa               1    2.939890    1.529414    0.061365    0.000761    0.000520    0.035065    0.434252           0           0    0.000013
bi        0.941155    2.913030    0.585676           0    1.263552    1.573017    0.500000           0    0.058845    0.020204    0.001294
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00097503  0.01147825  0.06453582  0.14125421  0.12942582              0.20247874  0.44386843  0.00598370

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13967433  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6147.5626  -5600.5676      0.7255    12.02394     3.98172
ep            -7129.5044  -6601.4738      0.7003    13.74345     3.31253
mu            -6185.9944  -5676.4765      0.6758    14.01358     2.82235
pa            -6188.9864  -5691.8946      0.6593    13.39122     2.86987
bi            -5967.6794  -5358.8983      0.8074    15.28251     3.06810
ab            -4092.3464  -3754.3437      0.4483    10.09018     2.59867
q              -941.7197   -870.4475      0.0945     2.28439     2.63003
H2O            -343.4301   -246.7323      0.1283     1.97872     0.91044
sph           -2701.9109  -2489.9591      0.2811     5.58178     3.51214

sys           -661.24826  -575.39936     0.11386     2.08570     2.00785

                    ideal       gamma    activity        prop               0         RT ln a
g     py       3.66426e-5     4.70027 0.000172230    0.030783   -6512.29326818    -54.32918892    -6512.2933    -54.3292
      alm       0.0407980     1.24015   0.0505957     0.34483   -5548.67001610    -18.70523418    -5548.6700    -18.7052
      spss      0.0272502    0.983011   0.0267873     0.30142   -5973.29993765    -22.69177423    -5973.2999    -22.6918
      gr        0.0327522     1.12956   0.0369955     0.32048   -6856.22676124    -20.66779111    -6856.2268    -20.6678
      kho     2.27691e-10     2.44916 5.57652e-10   0.0024866   -5657.97999930   -133.56991046    -5657.9800   -133.5699

ep    cz         0.968539     1.00016    0.968690     0.96894   -7141.50242155      0.19941448    -7141.5024     -0.1994
      ep        0.0310448     1.16148   0.0360581    0.030641   -6733.33696110    -20.82868023    -6733.3370    -20.8287
      fep      1.29357e-5     1.58986  2.05659e-5  0.00041650   -6298.97797713    -67.65149681    -6298.9780    -67.6515

mu    mu         0.721101     1.00164    0.722282     0.70866   -6207.92323392     -2.03946678    -6207.9232     -2.0395
      cel      0.00870426     2.85306   0.0248338    0.040084   -6065.79734819    -23.16646044    -6065.7973    -23.1665
      fcel     0.00566086     2.85306   0.0161508    0.026069   -5730.01796922    -25.86351100    -5730.0180    -25.8635
      pa         0.202465     4.44581    0.900121     0.21760   -6167.52191962      0.65963551    -6167.5219     -0.6596
      mat      0.00152919     131.262    0.200724   0.0073948   -6454.72372817    -10.06650146    -6454.7237    -10.0665
      fmu     0.000136625     1.51908 0.000207545  0.00018943   -5769.26659948    -53.15996404    -5769.2666    -53.1600

pa    mu        0.0697880     10.3491    0.722244    0.068850   -6207.92323392     -2.03979696    -6207.9232     -2.0398
      cel      1.17868e-5     2106.55   0.0248294  0.00076103   -6065.79734819    -23.16755661    -6065.7973    -23.1676
      fcel     7.66557e-6     2106.55   0.0161479  0.00049494   -5730.01796922    -25.86460717    -5730.0180    -25.8646
      pa         0.864257     1.04153    0.900151     0.86850   -6167.52191962      0.65942676    -6167.5219     -0.6594
      mat       0.0172190     11.6578    0.200737    0.061365   -6454.72372817    -10.06609679    -6454.7237    -10.0661
      fmu      1.75641e-6     118.151 0.000207521   2.5167e-5   -5769.26659948    -53.16068521    -5769.2666    -53.1607

bi    phl       0.0583615     1.96609    0.114744     0.26786   -6473.04394823    -13.57215790    -6473.0439    -13.5722
      annm       0.125053     1.46176    0.182798     0.49542   -5476.71612150    -10.65295007    -5476.7161    -10.6530
      obi        0.126279     1.46007    0.184376    0.084165   -6142.93467265    -10.59905557    -6142.9347    -10.5991
      east     0.00547191     3.82427   0.0209261    0.084383   -6583.37557580    -24.23971912    -6583.3756    -24.2397
      tbi      5.01196e-5     52.7192  0.00264226    0.058845   -6423.36956807    -37.21200610    -6423.3696    -37.2120
      fbi     0.000167760     3.12058 0.000523508   0.0025870   -6172.71894137    -47.36010024    -6172.7189    -47.3601
      mmbi     2.68512e-7     2.00850  5.39308e-7   0.0067346   -5825.50898554    -90.47663986    -5825.5090    -90.4766

ab                                                             -4092.3464
q                                                               -941.7197
H2O                                                             -343.4301
sph                                                            -2701.9109

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

g ep mu pa bi ab q H2O sph  {6.1000, 485.335}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.91095   0.32168   0.29000   0.00254
ep        f(ep)     Q(ep)
        0.01564   0.01522
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39654   0.93105   0.00020   0.21589   0.00747
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39654   0.99865   0.00003   0.86915   0.06101
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55403   0.00655   0.08451   0.00258   0.06024   0.17474

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.03458   0.35373   0.29000   0.32168   0.99746   0.00254
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00042   0.99958   0.03087   0.96913
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.77664   0.21589   0.00747   0.04161   0.02734   0.93105   0.99980   0.00020   0.53074   0.46926
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06984   0.86915   0.06101   0.00081   0.00053   0.99865   0.99997   0.00003   0.47017   0.52983
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26812   0.00655   0.57801   0.00258   0.06024   0.08451   0.49767   0.00655   0.49578   0.45646   0.54354   0.93976   0.06024

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    0.997457    0.965051    0.103742    1.066280           0           0           0    0.870013    0.002543
ep        0.500000           3    1.484356    2.000000           0    0.031287           0           0           0           0    0.015644
mu        1.000000    3.061482    1.434685    0.007471    0.041610    0.027539    0.388319    0.107945           0           0    0.000098
pa        1.000000    2.940339    1.529143    0.061009    0.000813    0.000561    0.034919    0.434577           0           0    0.000013
bi        0.939764    2.912910    0.585798           0    1.263449    1.572155    0.500000           0    0.060236    0.019654    0.001291
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00109014  0.01152629  0.06456515  0.14126812  0.12931799              0.20241701  0.44389544  0.00591986

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13969210  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6146.1465  -5593.7907      0.7282    12.02176     3.98123
ep            -7129.7276  -6596.3652      0.7032    13.74265     3.31268
mu            -6185.3002  -5670.4957      0.6787    14.01125     2.82327
pa            -6188.8860  -5686.7396      0.6620    13.38798     2.87049
bi            -5968.3462  -5353.7676      0.8103    15.27780     3.06895
ab            -4092.1586  -3750.7674      0.4501    10.08755     2.59934
q              -941.6457   -869.6536      0.0949     2.28364     2.63089
H2O            -343.5761   -246.2079      0.1284     1.96931     0.91479
sph           -2701.9571  -2487.8842      0.2822     5.58104     3.51261

sys           -661.30555  -574.73090     0.11414     2.08109     2.01230

                    ideal       gamma    activity        prop               0         RT ln a
g     py       4.11422e-5     4.66080 0.000191756    0.032038   -6512.70422947    -53.97787373    -6512.7042    -53.9779
      alm       0.0440361     1.23362   0.0543239     0.35373   -5549.44042900    -18.36908007    -5549.4404    -18.3691
      spss      0.0242662    0.982671   0.0238457     0.29000   -5973.94901925    -23.56148262    -5973.9490    -23.5615
      gr        0.0331189     1.13421   0.0375637     0.32168   -6856.31917296    -20.69565632    -6856.3192    -20.6957
      kho     2.67414e-10     2.38848 6.38712e-10   0.0025430   -5658.58216191   -133.51532440    -5658.5822   -133.5153

ep    cz         0.968726     1.00015    0.968874     0.96913   -7141.64544586      0.19940969    -7141.6454     -0.1994
      ep        0.0308525     1.16052   0.0358048    0.030444   -6733.55453520    -20.99809225    -6733.5545    -20.9981
      fep      1.30147e-5     1.58561  2.06362e-5  0.00042166   -6299.22460761    -68.03581883    -6299.2246    -68.0358

mu    mu         0.720213    0.999196    0.719634     0.70749   -6207.85352048     -2.07486500    -6207.8535     -2.0749
      cel      0.00910111     2.81549   0.0256241    0.041610   -6065.73935114    -23.10787415    -6065.7394    -23.1079
      fcel     0.00598049     2.81549   0.0168380    0.027342   -5730.13389506    -25.75587254    -5730.1339    -25.7559
      pa         0.200205     4.49797    0.900516     0.21589   -6167.55562882      0.66082453    -6167.5556     -0.6608
      mat      0.00153136     128.378    0.196594   0.0074708   -6454.77202373    -10.25800978    -6454.7720    -10.2580
      fmu     0.000141311     1.50052 0.000212041  0.00019617   -5769.29248670    -53.34372602    -5769.2925    -53.3437

pa    mu        0.0694930     10.3549    0.719597    0.068463   -6207.85352048     -2.07519558    -6207.8535     -2.0752
      cel      1.25565e-5     2040.35   0.0256196  0.00081336   -6065.73935114    -23.10896730    -6065.7394    -23.1090
      fcel     8.25106e-6     2040.35   0.0168351  0.00053447   -5730.13389506    -25.75696569    -5730.1339    -25.7570
      pa         0.864870     1.04125    0.900546     0.86915   -6167.55562882      0.66061377    -6167.5556     -0.6606
      mat       0.0171028     11.4956    0.196606    0.061009   -6454.77202373    -10.25760654    -6454.7720    -10.2576
      fmu      1.84166e-6     115.123 0.000212017   2.6501e-5   -5769.29248670    -53.34444536    -5769.2925    -53.3444

bi    phl       0.0582010     1.95998    0.114073     0.26812   -6473.01976985    -13.69058005    -6473.0198    -13.6906
      annm       0.124522     1.45860    0.181627     0.49578   -5477.08056511    -10.75736258    -5477.0806    -10.7574
      obi        0.125470     1.45784    0.182915    0.082224   -6143.04003494    -10.71280805    -6143.0400    -10.7128
      east     0.00546104     3.80317   0.0207693    0.084507   -6583.35923461    -24.43256990    -6583.3592    -24.4326
      tbi      5.37214e-5     50.9975  0.00273966    0.060236   -6423.28595785    -37.20697291    -6423.2860    -37.2070
      fbi     0.000166912     3.10816 0.000518789   0.0025829   -6172.79820083    -47.70131722    -6172.7982    -47.7013
      mmbi     2.46428e-7     2.00019  4.92903e-7   0.0065512   -5825.95217306    -91.58683807    -5825.9522    -91.5868

ab                                                             -4092.1586
q                                                               -941.6457
H2O                                                             -343.5761
sph                                                            -2701.9571

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

g ep mu pa bi ab q H2O sph  {6.3200, 489.817}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90989   0.32289   0.27847   0.00260
ep        f(ep)     Q(ep)
        0.01556   0.01513
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39895   0.92818   0.00020   0.21419   0.00754
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39895   0.99856   0.00003   0.86985   0.06063
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55389   0.00636   0.08459   0.00258   0.06163   0.17333

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.03592   0.36272   0.27847   0.32289   0.99740   0.00260
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00043   0.99957   0.03069   0.96931
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.77827   0.21419   0.00754   0.04317   0.02865   0.92818   0.99980   0.00020   0.53214   0.46786
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06952   0.86985   0.06063   0.00087   0.00058   0.99856   0.99997   0.00003   0.47041   0.52959
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26838   0.00636   0.57646   0.00258   0.06163   0.08459   0.49753   0.00636   0.49611   0.45641   0.54359   0.93837   0.06163

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    0.997400    0.968668    0.107760    1.093360           0           0           0    0.835413    0.002600
ep        0.500000           3    1.484443           2           0    0.031114           0           0           0           0    0.015557
mu        1.000000    3.064272    1.431854    0.007545    0.043166    0.028854    0.389134    0.107094           0           0    0.000102
pa               1    2.940812    1.528858    0.060633    0.000868    0.000604    0.034759    0.434924           0           0    0.000014
bi        0.938371    2.912828    0.585883           0    1.263442    1.571260    0.500000           0    0.061629    0.019075    0.001289
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00121942  0.01156760  0.06461897  0.14126844  0.12919521              0.20235069  0.44392327  0.00585640

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13970989  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6144.6804  -5587.0132      0.7309    12.01953     3.98072
ep            -7129.9288  -6591.2690      0.7060    13.74184     3.31284
mu            -6184.5706  -5664.5092      0.6816    14.00891     2.82420
pa            -6188.7629  -5681.5956      0.6647    13.38470     2.87112
bi            -5969.0040  -5348.6724      0.8131    15.27308     3.06980
ab            -4091.9607  -3747.2021      0.4519    10.08491     2.60002
q              -941.5696   -868.8624      0.0953     2.28289     2.63176
H2O            -343.7194   -245.6868      0.1285     1.96024     0.91902
sph           -2701.9966  -2485.8167      0.2833     5.58029     3.51308

sys           -661.36032  -574.06542     0.11442     2.07662     2.01663

                    ideal       gamma    activity        prop               0         RT ln a
g     py       4.61047e-5     4.62241 0.000213115    0.033319   -6513.10033107    -53.62685661    -6513.1003    -53.6269
      alm       0.0474736     1.22718   0.0582589     0.36272   -5550.19288990    -18.03399224    -5550.1929    -18.0340
      spss      0.0214821    0.982337   0.0211027     0.27847   -5974.58039319    -24.47589957    -5974.5804    -24.4759
      gr        0.0334888     1.13895   0.0381422     0.32289   -6856.39725806    -20.72098637    -6856.3973    -20.7210
      kho     3.13407e-10     2.32983 7.30185e-10   0.0026005   -5659.16647000   -133.45512705    -5659.1665   -133.4551

ep    cz         0.968899     1.00015    0.969045     0.96931   -7141.77221991      0.19947287    -7141.7722     -0.1995
      ep        0.0306744     1.15956   0.0355689    0.030261   -6733.75490136    -21.16407783    -6733.7549    -21.1641
      fep      1.30999e-5     1.58145  2.07168e-5  0.00042688   -6299.45321788    -68.41307456    -6299.4532    -68.4131

mu    mu         0.719245    0.996790    0.716936     0.70625   -6207.76899175     -2.11095451    -6207.7690     -2.1110
      cel      0.00951096     2.77891   0.0264301    0.043166   -6065.66610939    -23.04792421    -6065.6661    -23.0479
      fcel     0.00631295     2.77891   0.0175431    0.028651   -5730.23286564    -25.64780628    -5730.2329    -25.6478
      pa         0.197944     4.55148    0.900937     0.21419   -6167.57487692      0.66176185    -6167.5749     -0.6618
      mat      0.00153255     125.643    0.192555   0.0075445   -6454.80609060    -10.45031147    -6454.8061    -10.4503
      fmu     0.000146079     1.48247 0.000216557  0.00020306   -5769.30206122    -53.52522502    -5769.3021    -53.5252

pa    mu        0.0691730     10.3638    0.716899    0.068046   -6207.76899175     -2.11128551    -6207.7690     -2.1113
      cel      1.33545e-5     1978.78   0.0264256  0.00086815   -6065.66610939    -23.04901451    -6065.6661    -23.0490
      fcel     8.86409e-6     1978.78   0.0175401  0.00057624   -5730.23286564    -25.64889658    -5730.2329    -25.6489
      pa         0.865525     1.04095    0.900968     0.86985   -6167.57487692      0.66154904    -6167.5749     -0.6615
      mat       0.0169806     11.3404    0.192567    0.060633   -6454.80609060    -10.44990963    -6454.8061    -10.4499
      fmu      1.92860e-6     112.274 0.000216532   2.7880e-5   -5769.30206122    -53.52594341    -5769.3021    -53.5259

bi    phl       0.0580536     1.95395    0.113434     0.26838   -6472.97855846    -13.80710585    -6472.9786    -13.8071
      annm       0.123983     1.45559    0.180469     0.49611   -5477.42401396    -10.86151637    -5477.4240    -10.8615
      obi        0.124693     1.45561    0.181505    0.080346   -6143.12704362    -10.82521005    -6143.1270    -10.8252
      east     0.00544830     3.78290   0.0206104    0.084594   -6583.32621764    -24.62565150    -6583.3262    -24.6257
      tbi      5.75022e-5     49.3578  0.00283818    0.061629   -6423.18609391    -37.20268410    -6423.1861    -37.2027
      fbi     0.000166065     3.09623 0.000514176   0.0025784   -6172.85928711    -48.03981036    -6172.8593    -48.0398
      mmbi     2.24617e-7     1.99216  4.47474e-7   0.0063582   -5826.37366907    -92.74136144    -5826.3737    -92.7414

ab                                                             -4091.9607
q                                                               -941.5696
H2O                                                             -343.7194
sph                                                            -2701.9966

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

g ep mu pa bi ab q H2O sph  {6.5400, 494.253}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90885   0.32410   0.26683   0.00266
ep        f(ep)     Q(ep)
        0.01548   0.01505
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40129   0.92525   0.00021   0.21249   0.00762
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40129   0.99845   0.00003   0.87059   0.06023
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55372   0.00616   0.08464   0.00257   0.06302   0.17195

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.03729   0.37178   0.26683   0.32410   0.99734   0.00266
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00043   0.99957   0.03052   0.96948
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.77989   0.21249   0.00762   0.04475   0.03000   0.92525   0.99979   0.00021   0.53357   0.46643
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06917   0.87059   0.06023   0.00093   0.00062   0.99845   0.99997   0.00003   0.47066   0.52934
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26867   0.00616   0.57494   0.00257   0.06302   0.08464   0.49744   0.00616   0.49641   0.45639   0.54361   0.93698   0.06302

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    0.997341    0.972303    0.111859    1.120655           0           0           0    0.800502    0.002659
ep        0.500000           3    1.484522           2           0    0.030957           0           0           0           0    0.015478
mu        1.000000    3.067134    1.428953    0.007616    0.044753    0.030206    0.389947    0.106245           0           0    0.000105
pa        1.000000    2.941312    1.528557    0.060234    0.000925    0.000650    0.034587    0.435296           0           0    0.000015
bi        0.936979    2.912785    0.585928           0    1.263544    1.570326    0.500000           0    0.063021    0.018468    0.001287
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00136468  0.01160118  0.06469930  0.14125425  0.12905576              0.20227933  0.44395199  0.00579350

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13972766  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6143.1685  -5580.2451      0.7335    12.01726     3.98021
ep            -7130.1047  -6586.1867      0.7088    13.74102     3.31301
mu            -6183.8021  -5658.5184      0.6845    14.00657     2.82514
pa            -6188.6131  -5676.4635      0.6674    13.38137     2.87176
bi            -5969.6513  -5343.6171      0.8158    15.26834     3.07063
ab            -4091.7507  -3743.6491      0.4536    10.08226     2.60071
q              -941.4910   -868.0742      0.0957     2.28213     2.63263
H2O            -343.8594   -245.1676      0.1286     1.95146     0.92315
sph           -2702.0284  -2483.7574      0.2844     5.57954     3.51355

sys           -661.41210  -573.40251     0.11468     2.07227     2.02086

                    ideal       gamma    activity        prop               0         RT ln a
g     py       5.15626e-5     4.58515 0.000236422    0.034627   -6513.47878359    -53.27643232    -6513.4788    -53.2764
      alm       0.0511141     1.22085   0.0624025     0.37178   -5550.92426404    -17.70044836    -5550.9243    -17.7004
      spss      0.0188978    0.982009   0.0185578     0.26683   -5975.19098333    -25.43817030    -5975.1910    -25.4382
      gr        0.0338632     1.14378   0.0387322     0.32410   -6856.45826447    -20.74353001    -6856.4583    -20.7435
      kho     3.66550e-10     2.27313 8.33216e-10   0.0026591   -5659.72984110   -133.38888506    -5659.7298   -133.3889

ep    cz         0.969056     1.00015    0.969200     0.96948   -7141.87973630      0.19961022    -7141.8797     -0.1996
      ep        0.0305115     1.15863   0.0353515    0.030093   -6733.93492365    -21.32626050    -6733.9349    -21.3263
      fep      1.31923e-5     1.57738  2.08092e-5  0.00043218   -6299.66059111    -68.78245758    -6299.6606    -68.7825

mu    mu         0.718194    0.994420    0.714187     0.70493   -6207.66675562     -2.14774431    -6207.6668     -2.1477
      cel      0.00993453     2.74327   0.0272531    0.044753   -6065.57473587    -22.98628984    -6065.5747    -22.9863
      fcel     0.00665868     2.74327   0.0182665    0.029996   -5730.31182809    -25.53910313    -5730.3118    -25.5391
      pa         0.195680     4.60644    0.901388     0.21249   -6167.57683849      0.66242084    -6167.5768     -0.6624
      mat      0.00153266     123.051    0.188596   0.0076155   -6454.82313376    -10.64360907    -6454.8231    -10.6436
      fmu     0.000150930     1.46488 0.000221095  0.00021011   -5769.29228438    -53.70410642    -5769.2923    -53.7041

pa    mu        0.0688275     10.3759    0.714150    0.067599   -6207.66675562     -2.14807577    -6207.6668     -2.1481
      cel      1.41799e-5     1921.63   0.0272485  0.00092541   -6065.57473587    -22.98737747    -6065.5747    -22.9874
      fcel     9.50414e-6     1921.63   0.0182634  0.00062026   -5730.31182809    -25.54019076    -5730.3118    -25.5402
      pa         0.866227     1.04063    0.901418     0.87059   -6167.57683849      0.66220596    -6167.5768     -0.6622
      mat       0.0168513     11.1925    0.188608    0.060234   -6454.82313376    -10.64320857    -6454.8231    -10.6432
      fmu      2.01707e-6     109.600 0.000221070   2.9305e-5   -5769.29228438    -53.70482182    -5769.2923    -53.7048

bi    phl       0.0579214     1.94798    0.112830     0.26867   -6472.91720196    -13.92144969    -6472.9172    -13.9214
      annm       0.123436     1.45275    0.179321     0.49641   -5477.74294359    -10.96537582    -5477.7429    -10.9654
      obi        0.123949     1.45339    0.180147    0.078534   -6143.19244917    -10.93605929    -6143.1924    -10.9361
      east     0.00543362     3.76343   0.0204490    0.084641   -6583.27344508    -24.81897077    -6583.2734    -24.8190
      tbi      6.14621e-5     47.7963  0.00293766    0.063021   -6423.06705477    -37.19918038    -6423.0671    -37.1992
      fbi     0.000165223     3.08478 0.000509676   0.0025737   -6172.89897383    -48.37522214    -6172.8990    -48.3752
      mmbi     2.03259e-7     1.98442  4.03352e-7   0.0061560   -5826.76992048    -93.94292842    -5826.7699    -93.9429

ab                                                             -4091.7507
q                                                               -941.4910
H2O                                                             -343.8594
sph                                                            -2702.0284

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

g ep mu pa bi ab q H2O sph  {6.7600, 498.639}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90782   0.32532   0.25511   0.00272
ep        f(ep)     Q(ep)
        0.01541   0.01497
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40356   0.92225   0.00022   0.21080   0.00768
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40356   0.99835   0.00003   0.87139   0.05981
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55352   0.00595   0.08465   0.00257   0.06441   0.17059

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.03868   0.38089   0.25511   0.32532   0.99728   0.00272
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00044   0.99956   0.03038   0.96962
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.78152   0.21080   0.00768   0.04637   0.03138   0.92225   0.99978   0.00022   0.53503   0.46497
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06880   0.87139   0.05981   0.00099   0.00067   0.99835   0.99997   0.00003   0.47092   0.52908
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26898   0.00595   0.57345   0.00257   0.06441   0.08465   0.49739   0.00595   0.49666   0.45639   0.54361   0.93559   0.06441

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    0.997281    0.975968    0.116034    1.148116           0           0           0    0.765321    0.002719
ep        0.500000    3.000000    1.484592           2           0    0.030816           0           0           0           0    0.015408
mu               1    3.070069    1.425981    0.007683    0.046375    0.031595    0.390760    0.105398           0           0    0.000109
pa               1    2.941843    1.528237    0.059808    0.000985    0.000697    0.034402    0.435694           0           0    0.000015
bi        0.935592    2.912786    0.585930           0    1.263769    1.569343    0.500000           0    0.064408    0.017835    0.001284
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00152804  0.01162588  0.06480852  0.14122448  0.12889759              0.20220242  0.44398170  0.00573137

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13974539  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6141.6158  -5573.4985      0.7361    12.01496     3.97969
ep            -7130.2513  -6581.1202      0.7115    13.74018     3.31318
mu            -6182.9907  -5652.5250      0.6873    14.00423     2.82609
pa            -6188.4318  -5671.3443      0.6700    13.37800     2.87240
bi            -5970.2864  -5338.6065      0.8185    15.26357     3.07146
ab            -4091.5263  -3740.1109      0.4553    10.07961     2.60139
q              -941.4094   -867.2892      0.0960     2.28137     2.63351
H2O            -343.9954   -244.6497      0.1287     1.94295     0.92720
sph           -2702.0509  -2481.7071      0.2855     5.57878     3.51403

sys           -661.46029  -572.74210     0.11495     2.06804     2.02499

                    ideal       gamma    activity        prop               0         RT ln a
g     py       5.75476e-5     4.54909 0.000261789    0.035959   -6513.83628606    -52.92693804    -6513.8363    -52.9269
      alm       0.0549594     1.21462   0.0667547     0.38089   -5551.63083797    -17.36899652    -5551.6308    -17.3690
      spss      0.0165121    0.981688   0.0162097     0.25511   -5975.77714573    -26.45166087    -5975.7771    -26.4517
      gr        0.0342435     1.14869   0.0393350     0.32532   -6856.49893647    -20.76299037    -6856.4989    -20.7630
      kho     4.27830e-10     2.21827 9.49044e-10   0.0027192   -5660.26862413   -133.31607054    -5660.2686   -133.3161

ep    cz         0.969198     1.00015    0.969339     0.96962   -7141.96443504      0.19982927    -7141.9644     -0.1998
      ep        0.0303647     1.15771   0.0351535    0.029940   -6734.09088972    -21.48419369    -6734.0909    -21.4842
      fep      1.32930e-5     1.57340  2.09152e-5  0.00043759   -6299.84291855    -69.14301074    -6299.8429    -69.1430

mu    mu         0.717061    0.992085    0.711385     0.70355   -6207.54338841     -2.18524363    -6207.5434     -2.1852
      cel       0.0103727     2.70849   0.0280944    0.046375   -6065.46181294    -22.92259604    -6065.4618    -22.9226
      fcel     0.00701819     2.70849   0.0190087    0.031377   -5730.36716620    -25.42951944    -5730.3672    -25.4295
      pa         0.193410     4.66299    0.901871     0.21080   -6167.55816940      0.66276996    -6167.5582     -0.6628
      mat      0.00153156     120.601    0.184707   0.0076832   -6454.81984600    -10.83813889    -6454.8198    -10.8381
      fmu     0.000155870     1.44774 0.000225659  0.00021733   -5769.25955745    -53.87994485    -5769.2596    -53.8799

pa    mu        0.0684553     10.3914    0.711348    0.067121   -6207.54338841     -2.18557560    -6207.5434     -2.1856
      cel      1.50315e-5     1868.72   0.0280896  0.00098516   -6065.46181294    -22.92368122    -6065.4618    -22.9237
      fcel     1.01703e-5     1868.72   0.0190055  0.00066656   -5730.36716620    -25.43060462    -5730.3672    -25.4306
      pa         0.866980     1.04028    0.901901     0.87139   -6167.55816940      0.66255296    -6167.5582     -0.6626
      mat       0.0167136     11.0520    0.184719    0.059808   -6454.81984600    -10.83773970    -6454.8198    -10.8377
      fmu      2.10690e-6     107.093 0.000225634   3.0777e-5   -5769.25955745    -53.88065810    -5769.2596    -53.8807

bi    phl       0.0578068     1.94206    0.112264     0.26898   -6472.83201518    -14.03327741    -6472.8320    -14.0333
      annm       0.122878     1.45008    0.178183     0.49666   -5478.03317545    -11.06889854    -5478.0332    -11.0689
      obi        0.123242     1.45117    0.178845    0.076793   -6143.23240194    -11.04511886    -6143.2324    -11.0451
      east     0.00541687     3.74477   0.0202849    0.084645   -6583.19727041    -25.01253306    -6583.1973    -25.0125
      tbi      6.55993e-5     46.3099  0.00303790    0.064408   -6422.92538003    -37.19650272    -6422.9254    -37.1965
      fbi     0.000164388     3.07380 0.000505295   0.0025688   -6172.91343945    -48.70712595    -6172.9134    -48.7071
      mmbi     1.82525e-7     1.97698  3.60849e-7   0.0059450   -5827.13671429    -95.19441878    -5827.1367    -95.1944

ab                                                             -4091.5263
q                                                               -941.4094
H2O                                                             -343.9954
sph                                                            -2702.0509

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

g ep mu pa bi ab q H2O sph  {6.9800, 502.971}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90679   0.32656   0.24330   0.00278
ep        f(ep)     Q(ep)
        0.01535   0.01490
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40574   0.91917   0.00022   0.20910   0.00775
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40574   0.99824   0.00003   0.87224   0.05935
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55329   0.00573   0.08460   0.00256   0.06579   0.16926

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.04009   0.39004   0.24330   0.32656   0.99722   0.00278
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00044   0.99956   0.03025   0.96975
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.78315   0.20910   0.00775   0.04803   0.03280   0.91917   0.99978   0.00022   0.53654   0.46346
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06840   0.87224   0.05935   0.00105   0.00072   0.99824   0.99997   0.00003   0.47121   0.52879
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26932   0.00573   0.57200   0.00256   0.06579   0.08460   0.49740   0.00573   0.49687   0.45642   0.54358   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    0.997219    0.979679    0.120279    1.175689           0           0           0    0.729915    0.002781
ep        0.500000           3    1.484654           2           0    0.030692           0           0           0           0    0.015346
mu        1.000000    3.073081    1.422933    0.007747    0.048033    0.033020    0.391576    0.104551           0           0    0.000112
pa               1    2.942412    1.527897    0.059351    0.001047    0.000747    0.034202    0.436122           0           0    0.000016
bi        0.934212    2.912834    0.585885           0    1.264131    1.568301    0.500000           0    0.065788    0.017177    0.001282
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00171193  0.01164032  0.06494938  0.14117793  0.12871835              0.20211933  0.44401253  0.00567023

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13976302  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6140.0282  -5566.7878      0.7386    12.01264     3.97916
ep            -7130.3639  -6576.0715      0.7142    13.73932     3.31336
mu            -6182.1318  -5646.5308      0.6901    14.00187     2.82704
pa            -6188.2135  -5666.2392      0.6725    13.37457     2.87304
bi            -5970.9072  -5333.6465      0.8211    15.25878     3.07227
ab            -4091.2849  -3736.5874      0.4570    10.07695     2.60208
q              -941.3244   -866.5078      0.0964     2.28060     2.63439
H2O            -344.1266   -244.1355      0.1288     1.93468     0.93116
sph           -2702.0625  -2479.6668      0.2865     5.57802     3.51451

sys           -661.50423  -572.08545     0.11521     2.06391     2.02904

                    ideal       gamma    activity        prop               0         RT ln a
g     py       6.40890e-5     4.51431 0.000289318    0.037312   -6514.16893944    -52.57876247    -6514.1689    -52.5788
      alm       0.0590088     1.20851   0.0713125     0.39004   -5552.30822195    -17.04026952    -5552.3082    -17.0403
      spss      0.0143230    0.981375   0.0140562     0.24330   -5976.33457291    -27.51994791    -5976.3346    -27.5199
      gr        0.0346313     1.15365   0.0399524     0.32656   -6856.51542943    -20.77901693    -6856.5154    -20.7790
      kho     4.98351e-10     2.16516  1.07901e-9   0.0027808   -5660.77850357   -133.23604903    -5660.7785   -133.2360

ep    cz         0.969322     1.00014    0.969461     0.96975   -7142.02211020      0.20013918    -7142.0221     -0.2001
      ep        0.0302354     1.15681   0.0349765    0.029806   -6734.21841345    -21.63734656    -6734.2184    -21.6373
      fep      1.34035e-5     1.56951  2.10370e-5  0.00044311   -6299.99569959    -69.49359758    -6299.9957    -69.4936

mu    mu         0.715845    0.989780    0.708529     0.70210   -6207.39484507     -2.22346220    -6207.3948     -2.2235
      cel       0.0108265     2.67450   0.0289555    0.048033   -6065.32330269    -22.85640409    -6065.3233    -22.8564
      fcel     0.00739210     2.67450   0.0197702    0.032796   -5730.39460540    -25.31877094    -5730.3946    -25.3188
      pa         0.191131     4.72131    0.902390     0.20910   -6167.51491924      0.66277198    -6167.5149     -0.6628
      mat      0.00152910     118.290    0.180877   0.0077466   -6454.79232123    -11.03417744    -6454.7923    -11.0342
      fmu     0.000160902     1.43102 0.000230255  0.00022472   -5769.19962713    -54.05223938    -5769.1996    -54.0522

pa    mu        0.0680553     10.4105    0.708493    0.066610   -6207.39484507     -2.22379471    -6207.3948     -2.2238
      cel      1.59076e-5     1819.92   0.0289507   0.0010474   -6065.32330269    -22.85748703    -6065.3233    -22.8575
      fcel     1.08614e-5     1819.92   0.0197669  0.00071514   -5730.39460540    -25.31985389    -5730.3946    -25.3199
      pa         0.867792     1.03991    0.902421     0.87224   -6167.51491924      0.66255282    -6167.5149     -0.6626
      mat       0.0165660     10.9193    0.180889    0.059351   -6454.79232123    -11.03377953    -6454.7923    -11.0338
      fmu      2.19786e-6     104.751 0.000230229   3.2294e-5   -5769.19962713    -54.05295159    -5769.1996    -54.0530

bi    phl       0.0577125     1.93616    0.111740     0.26932   -6472.71864322    -14.14219797    -6472.7186    -14.1422
      annm       0.122309     1.44760    0.177054     0.49687   -5478.28976702    -11.17203451    -5478.2898    -11.1720
      obi        0.122573     1.44895    0.177602    0.075130   -6143.24235115    -11.15211140    -6143.2424    -11.1521
      east     0.00539794     3.72692   0.0201177    0.084603   -6583.09338483    -25.20634255    -6583.0934    -25.2063
      tbi      6.99101e-5     44.8957  0.00313866    0.065788   -6422.75697964    -37.19469344    -6422.7570    -37.1947
      fbi     0.000163564     3.06329 0.000501042   0.0025636   -6172.89816690    -49.03501431    -6172.8982    -49.0350
      mmbi     1.62578e-7     1.96983  3.20252e-7   0.0057257   -5827.46906675    -96.49884997    -5827.4691    -96.4988

ab                                                             -4091.2849
q                                                               -941.3244
H2O                                                             -344.1266
sph                                                            -2702.0625

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

g ep mu pa bi ab q H2O sph  {7.2000, 507.241}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90577   0.32782   0.23145   0.00284
ep        f(ep)     Q(ep)
        0.01529   0.01484
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40785   0.91602   0.00023   0.20740   0.00781
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40785   0.99812   0.00003   0.87317   0.05886
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55301   0.00550   0.08451   0.00256   0.06716   0.16796

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.04153   0.39921   0.23145   0.32782   0.99716   0.00284
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00045   0.99955   0.03014   0.96986
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.78479   0.20740   0.00781   0.04973   0.03425   0.91602   0.99977   0.00023   0.53809   0.46191
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06798   0.87317   0.05886   0.00111   0.00077   0.99812   0.99997   0.00003   0.47151   0.52849
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26970   0.00550   0.57058   0.00256   0.06716   0.08451   0.49747   0.00550   0.49703   0.45647   0.54353   0.93284   0.06716

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    0.997156    0.983456    0.124585    1.203307           0           0           0    0.694341    0.002844
ep        0.500000           3    1.484706    2.000000           0    0.030587           0           0           0           0    0.015294
mu        1.000000    3.076176    1.419805    0.007805    0.049730    0.034484    0.392396    0.103701           0           0    0.000116
pa               1    2.943023    1.527533    0.058855    0.001112    0.000800    0.033988    0.436584           0           0    0.000017
bi        0.932843    2.912933    0.585788           0    1.264651    1.567189    0.500000           0    0.067157    0.016496    0.001279
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00191925  0.01164288  0.06512509  0.14111319  0.12851525              0.20202937  0.44404461  0.00561036

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13978052  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6138.4132  -5560.1299      0.7410    12.01030     3.97861
ep            -7130.4370  -6571.0433      0.7168    13.73845     3.31355
mu            -6181.2196  -5640.5380      0.6928    13.99952     2.82801
pa            -6187.9518  -5661.1499      0.6750    13.37109     2.87369
bi            -5971.5112  -5328.7437      0.8236    15.25396     3.07306
ab            -4091.0233  -3733.0828      0.4587    10.07427     2.60277
q              -941.2351   -865.7306      0.0968     2.27983     2.63529
H2O            -344.2522   -243.6238      0.1289     1.92662     0.93506
sph           -2702.0612  -2477.6379      0.2876     5.57725     3.51499

sys           -661.54313  -571.43232     0.11547     2.05987     2.03303

                    ideal       gamma    activity        prop               0         RT ln a
g     py       7.12128e-5     4.48091 0.000319098    0.038684   -6514.47213919    -52.23235552    -6514.4721    -52.2324
      alm       0.0632584     1.20252   0.0760698     0.39921   -5552.95122867    -16.71500068    -5552.9512    -16.7150
      spss      0.0123277    0.981069   0.0120943     0.23145   -5976.85817491    -28.64679361    -5976.8582    -28.6468
      gr        0.0350289     1.15865   0.0405863     0.32782   -6856.50320398    -20.79119602    -6856.5032    -20.7912
      kho     5.79340e-10     2.11372  1.22456e-9   0.0028441   -5661.25438035   -133.14805598    -5661.2544   -133.1481

ep    cz         0.969426     1.00014    0.969564     0.96986   -7142.04779394      0.20055104    -7142.0478     -0.2006
      ep        0.0301250     1.15592   0.0348221    0.029690   -6734.31231395    -21.78508843    -6734.3123    -21.7851
      fep      1.35255e-5     1.56572  2.11771e-5  0.00044878   -6300.11361765    -69.83286847    -6300.1136    -69.8329

mu    mu         0.714547    0.987504    0.705618     0.70058   -6207.21634762     -2.26241066    -6207.2163     -2.2624
      cel       0.0112973     2.64122   0.0298388    0.049730   -6065.15443565    -22.78720026    -6065.1544    -22.7872
      fcel     0.00778113     2.64122   0.0205517    0.034252   -5730.38909478    -25.20652559    -5730.3891    -25.2065
      pa         0.188838     4.78161    0.902952     0.20740   -6167.44242238      0.66238317    -6167.4424     -0.6624
      mat      0.00152509     116.120    0.177094   0.0078050   -6454.73594685    -11.23204889    -6454.7359    -11.2320
      fmu     0.000166035     1.41468 0.000234887  0.00023231   -5769.10746820    -54.22039465    -5769.1075    -54.2204

pa    mu        0.0676258     10.4336    0.705582    0.066064   -6207.21634762     -2.26274378    -6207.2163     -2.2627
      cel      1.68063e-5     1775.16   0.0298338   0.0011121   -6065.15443565    -22.78828121    -6065.1544    -22.7883
      fcel     1.15755e-5     1775.16   0.0205483  0.00076597   -5730.38909478    -25.20760655    -5730.3891    -25.2076
      pa         0.868670     1.03950    0.902983     0.87317   -6167.44242238      0.66216179    -6167.4424     -0.6622
      mat       0.0164068     10.7946    0.177105    0.058855   -6454.73594685    -11.23165221    -6454.7359    -11.2317
      fmu      2.28972e-6     102.572 0.000234861   3.3857e-5   -5769.10746820    -54.22110529    -5769.1075    -54.2211

bi    phl       0.0576418     1.93026    0.111264     0.26970   -6472.57194136    -14.24775350    -6472.5719    -14.2478
      annm       0.121727     1.44531    0.175933     0.49703   -5478.50687509    -11.27472504    -5478.5069    -11.2747
      obi        0.121947     1.44671    0.176422    0.073551   -6143.21691927    -11.25671210    -6143.2169    -11.2567
      east     0.00537666     3.70987   0.0199467    0.084508   -6582.95669843    -25.40040245    -6582.9567    -25.4004
      tbi      7.43878e-5     43.5512  0.00323968    0.067157   -6422.55702097    -37.19379686    -6422.5570    -37.1938
      fbi     0.000162755     3.05323 0.000496929   0.0025581   -6172.84781901    -49.35828279    -6172.8478    -49.3583
      mmbi     1.43566e-7     1.96298  2.81816e-7   0.0054985   -5827.76108548    -97.85933859    -5827.7611    -97.8593

ab                                                             -4091.0233
q                                                               -941.2351
H2O                                                             -344.2522
sph                                                            -2702.0612

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

g ep mu pa bi ab q H2O sph  {7.4200, 511.442}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90477   0.32911   0.21956   0.00291
ep        f(ep)     Q(ep)
        0.01525   0.01480
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40986   0.91278   0.00024   0.20569   0.00786
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40986   0.99800   0.00004   0.87417   0.05832
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55269   0.00526   0.08436   0.00255   0.06851   0.16669

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.04298   0.40836   0.21956   0.32911   0.99709   0.00291
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00045   0.99955   0.03005   0.96995
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.78645   0.20569   0.00786   0.05147   0.03575   0.91278   0.99976   0.00024   0.53968   0.46032
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06752   0.87417   0.05832   0.00118   0.00082   0.99800   0.99996   0.00004   0.47184   0.52816
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27013   0.00526   0.56919   0.00255   0.06851   0.08436   0.49761   0.00526   0.49712   0.45655   0.54345   0.93149   0.06851

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    0.997090    0.987319    0.128942    1.230891           0           0           0    0.658666    0.002910
ep        0.500000           3    1.484748           2           0    0.030504           0           0           0           0    0.015252
mu               1    3.079360    1.416591    0.007857    0.051470    0.035987    0.393225    0.102846           0           0    0.000120
pa               1    2.943683    1.527142    0.058315    0.001179    0.000854    0.033758    0.437085           0           0    0.000018
bi        0.931490    2.913090    0.585633           0    1.265349    1.565991    0.500000           0    0.068510    0.015793    0.001276
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00215335  0.01163163  0.06533939  0.14102869  0.12828506              0.20193170  0.44407809  0.00555209

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13979783  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6136.7798  -5553.5449      0.7434    12.00796     3.97803
ep            -7130.4640  -6566.0385      0.7194    13.73755     3.31375
mu            -6180.2472  -5634.5491      0.6955    13.99716     2.82898
pa            -6187.6392  -5656.0783      0.6775    13.36755     2.87434
bi            -5972.0954  -5323.9063      0.8261    15.24911     3.07384
ab            -4090.7377  -3729.5981      0.4603    10.07159     2.60346
q              -941.1409   -864.9580      0.0971     2.27905     2.63619
H2O            -344.3712   -243.1145      0.1291     1.91874     0.93890
sph           -2702.0447  -2475.6218      0.2886     5.57648     3.51548

sys           -661.57606  -570.78294     0.11572     2.05589     2.03696

                    ideal       gamma    activity        prop               0         RT ln a
g     py       7.89390e-5     4.44901 0.000351200    0.040071   -6514.74045773    -51.88824022    -6514.7405    -51.8882
      alm       0.0677002     1.19669   0.0810161     0.40836   -5553.55374067    -16.39404280    -5553.5537    -16.3940
      spss      0.0105221    0.980772   0.0103198     0.21956   -5977.34194925    -29.83609800    -5977.3419    -29.8361
      gr        0.0354387     1.16367   0.0412391     0.32911   -6856.45691018    -20.79903997    -6856.4569    -20.7990
      kho     6.72164e-10     2.06386  1.38725e-9   0.0029096   -5661.69024160   -133.05117128    -5661.6902   -133.0512

ep    cz         0.969510     1.00014    0.969646     0.96995   -7142.03562970      0.20107834    -7142.0356     -0.2011
      ep        0.0300355     1.15506   0.0346927    0.029595   -6734.36648340    -21.92666991    -6734.3665    -21.9267
      fep      1.36610e-5     1.56202  2.13388e-5  0.00045462   -6300.19040443    -70.15922040    -6300.1904    -70.1592

mu    mu         0.713166    0.985253    0.702649     0.69899   -6207.00226324     -2.30210113    -6207.0023     -2.3021
      cel       0.0117868     2.60856   0.0307465    0.051470   -6064.94958901    -22.71438320    -6064.9496    -22.7144
      fcel     0.00818615     2.60856   0.0213541    0.035747   -5730.34467800    -25.09239551    -5730.3447    -25.0924
      pa         0.186526     4.84417    0.903561     0.20569   -6167.33517900      0.66155237    -6167.3352     -0.6616
      mat      0.00151934     114.091    0.173344   0.0078573   -6454.64528603    -11.43213374    -6454.6453    -11.4321
      fmu     0.000171276     1.39870 0.000239563  0.00024010   -5768.97715518    -54.38370018    -5768.9772    -54.3837

pa    mu        0.0671646     10.4611    0.702613    0.065482   -6207.00226324     -2.30243490    -6207.0023     -2.3024
      cel      1.77247e-5     1734.38   0.0307415   0.0011792   -6064.94958901    -22.71546241    -6064.9496    -22.7155
      fcel     1.23102e-5     1734.38   0.0213505  0.00081900   -5730.34467800    -25.09347472    -5730.3447    -25.0935
      pa         0.869625     1.03906    0.903592     0.87417   -6167.33517900      0.66132873    -6167.3352     -0.6613
      mat       0.0162340     10.6785    0.173355    0.058315   -6454.64528603    -11.43173825    -6454.6453    -11.4317
      fmu      2.38216e-6     100.555 0.000239537   3.5466e-5   -5768.97715518    -54.38440941    -5768.9772    -54.3844

bi    phl       0.0575984     1.92434    0.110839     0.27013   -6472.38584385    -14.34940829    -6472.3858    -14.3494
      annm       0.121130     1.44323    0.174818     0.49712   -5478.67760646    -11.37690172    -5478.6776    -11.3769
      obi        0.121367     1.44446    0.175311    0.072066   -6143.14976472    -11.35854101    -6143.1498    -11.3585
      east     0.00535286     3.69363   0.0197715    0.084357   -6582.78121039    -25.59471555    -6582.7812    -25.5947
      tbi      7.90231e-5     42.2742  0.00334064    0.068510   -6422.31980543    -37.19386051    -6422.3198    -37.1939
      fbi     0.000161967     3.04364 0.000492969   0.0025525   -6172.75610233    -49.67621276    -6172.7561    -49.6762
      mmbi     1.25621e-7     1.95643  2.45768e-7   0.0052642   -5828.00581900    -99.27903663    -5828.0058    -99.2790

ab                                                             -4090.7377
q                                                               -941.1409
H2O                                                             -344.3712
sph                                                            -2702.0447

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

g ep mu pa bi ab q H2O sph  {7.6400, 515.566}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90378   0.33043   0.20766   0.00298
ep        f(ep)     Q(ep)
        0.01522   0.01476
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41178   0.90946   0.00025   0.20397   0.00790
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41178   0.99788   0.00004   0.87526   0.05772
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55231   0.00502   0.08414   0.00255   0.06984   0.16546

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.04445   0.41746   0.20766   0.33043   0.99702   0.00298
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00046   0.99954   0.02998   0.97002
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.78813   0.20397   0.00790   0.05326   0.03728   0.90946   0.99975   0.00025   0.54132   0.45868
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06702   0.87526   0.05772   0.00125   0.00087   0.99788   0.99996   0.00004   0.47220   0.52780
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27061   0.00502   0.56784   0.00255   0.06984   0.08414   0.49782   0.00502   0.49715   0.45666   0.54334   0.93016   0.06984

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    0.997023    0.991297    0.133339    1.258346           0           0           0    0.622973    0.002977
ep        0.500000           3    1.484778           2           0    0.030444           0           0           0           0    0.015222
mu               1    3.082640    1.413285    0.007902    0.053259    0.037531    0.394066    0.101983           0           0    0.000124
pa               1    2.944399    1.526721    0.057724    0.001249    0.000911    0.033510    0.437628           0           0    0.000019
bi        0.930156    2.913311    0.585416           0    1.266252    1.564692    0.500000           0    0.069844    0.015071    0.001273
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00241818  0.01160427  0.06559663  0.14092264  0.12802401              0.20182536  0.44411316  0.00549576

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13981489  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6135.1392  -5547.0567      0.7456    12.00563     3.97743
ep            -7130.4369  -6561.0604      0.7219    13.73663     3.31396
mu            -6179.2067  -5628.5669      0.6981    13.99480     2.82997
pa            -6187.2668  -5651.0268      0.6799    13.36394     2.87500
bi            -5972.6563  -5319.1437      0.8286    15.24423     3.07460
ab            -4090.4238  -3726.1365      0.4619    10.06887     2.60416
q              -941.0407   -864.1907      0.0974     2.27826     2.63710
H2O            -344.4824   -242.6133      0.1292     1.91108     0.94266
sph           -2702.0101  -2473.6202      0.2896     5.57570     3.51597

sys           -661.60191  -570.14027     0.11596     2.05201     2.04081

                    ideal       gamma    activity        prop               0         RT ln a
g     py       8.72802e-5     4.41875 0.000385669    0.041469   -6514.96750740    -51.54702535    -6514.9675    -51.5470
      alm       0.0723213     1.19101   0.0861356     0.41746   -5554.10855570    -16.07838843    -5554.1086    -16.0784
      spss     0.00890130    0.980484  0.00872758     0.20766   -5977.77882915    -31.09182003    -5977.7788    -31.0918
      gr        0.0358639     1.16869   0.0419137     0.33043   -6856.37025255    -20.80197498    -6856.3703    -20.8020
      kho     7.78337e-10     2.01550  1.56874e-9   0.0029774   -5662.07900881   -132.94428940    -5662.0790   -132.9443

ep    cz         0.969570     1.00014    0.969705     0.97002   -7141.97872427      0.20173747    -7141.9787     -0.2017
      ep        0.0299694     1.15421   0.0345909    0.029523   -6734.37373274    -22.06120081    -6734.3737    -22.0612
      fep      1.38126e-5     1.55843  2.15259e-5  0.00046068   -6300.21868161    -70.47074986    -6300.2187    -70.4707

mu    mu         0.711701    0.983022    0.699618     0.69734   -6206.74596193     -2.34254785    -6206.7460     -2.3425
      cel       0.0122969     2.57642   0.0316819    0.053259   -6064.70214466    -22.63724984    -6064.7021    -22.6372
      fcel     0.00860820     2.57642   0.0221783    0.037283   -5730.25434281    -24.97592815    -5730.2543    -24.9759
      pa         0.184186     4.90931    0.904224     0.20397   -6167.18671618      0.66022012    -6167.1867     -0.6602
      mat      0.00151160     112.208    0.169614   0.0079021   -6454.51394033    -11.63487853    -6454.5139    -11.6349
      fmu     0.000176637     1.38303 0.000244294  0.00024813   -5768.80171263    -54.54131312    -5768.8017    -54.5413

pa    mu        0.0666691     10.4934    0.699582    0.064861   -6206.74596193     -2.34288232    -6206.7460     -2.3429
      cel      1.86596e-5     1697.61   0.0316767   0.0012487   -6064.70214466    -22.63832761    -6064.7021    -22.6383
      fcel     1.30623e-5     1697.61   0.0221747  0.00087413   -5730.25434281    -24.97700592    -5730.2543    -24.9770
      pa         0.870665     1.03858    0.904255     0.87526   -6167.18671618      0.65999414    -6167.1867     -0.6600
      mat       0.0160456     10.5714    0.169624    0.057724   -6454.51394033    -11.63448419    -6454.5139    -11.6345
      fmu      2.47484e-6     98.7006 0.000244268   3.7120e-5   -5768.80171263    -54.54202127    -5768.8017    -54.5420

bi    phl       0.0575868     1.91837    0.110473     0.27061   -6472.15321080    -14.44653633    -6472.1532    -14.4465
      annm       0.120515     1.44138    0.173708     0.49715   -5478.79384369    -11.47848528    -5478.7938    -11.4785
      obi        0.120840     1.44219    0.174274    0.070684   -6143.03342176    -11.45715438    -6143.0334    -11.4572
      east     0.00532631     3.67821   0.0195913    0.084142   -6582.55985752    -25.78928457    -6582.5599    -25.7893
      tbi      8.38023e-5     41.0629  0.00344116    0.069844   -6422.03862462    -37.19493595    -6422.0386    -37.1949
      fbi     0.000161206     3.03449 0.000489178   0.0025467   -6172.61560822    -49.98794987    -6172.6156    -49.9879
      mmbi     1.08858e-7     1.95018  2.12294e-7   0.0050235   -5828.19508104   -100.76103560    -5828.1951   -100.7610

ab                                                             -4090.4238
q                                                               -941.0407
H2O                                                             -344.4824
sph                                                            -2702.0101

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

g ep mu pa bi ab q H2O sph  {7.8600, 519.603}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90280   0.33181   0.19579   0.00305
ep        f(ep)     Q(ep)
        0.01521   0.01474
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41358   0.90603   0.00026   0.20221   0.00794
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41358   0.99775   0.00004   0.87644   0.05707
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55186   0.00478   0.08386   0.00254   0.07115   0.16427

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.04592   0.42649   0.19579   0.33181   0.99695   0.00305
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00047   0.99953   0.02994   0.97006
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.78985   0.20221   0.00794   0.05510   0.03886   0.90603   0.99974   0.00026   0.54301   0.45699
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06649   0.87644   0.05707   0.00132   0.00093   0.99775   0.99996   0.00004   0.47259   0.52741
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27115   0.00478   0.56652   0.00254   0.07115   0.08386   0.49812   0.00478   0.49710   0.45680   0.54320   0.92885   0.07115

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    0.996952    0.995421    0.137759    1.285560           0           0           0    0.587356    0.003048
ep        0.500000           3    1.484795    2.000000           0    0.030410           0           0           0           0    0.015205
mu               1    3.086027    1.409876    0.007938    0.055103    0.039118    0.394925    0.101106           0           0    0.000128
pa               1    2.945179    1.526265    0.057073    0.001320    0.000970    0.033244    0.438220           0           0    0.000019
bi        0.928849    2.913603    0.585127           0    1.267389    1.563271    0.500000           0    0.071151    0.014332    0.001270
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00271832  0.01155807  0.06590184  0.14079303  0.12772770              0.20170921  0.44415002  0.00544181

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13983162  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6133.5047  -5540.6936      0.7478    12.00333     3.97679
ep            -7130.3465  -6556.1132      0.7244    13.73569     3.31418
mu            -6178.0883  -5622.5945      0.7007    13.99244     2.83097
pa            -6186.8245  -5645.9984      0.6822    13.36026     2.87566
bi            -5973.1898  -5314.4669      0.8309    15.23930     3.07533
ab            -4090.0763  -3722.7015      0.4634    10.06614     2.60487
q              -940.9335   -863.4294      0.0978     2.27746     2.63803
H2O            -344.5843   -242.1160      0.1293     1.90354     0.94639
sph           -2701.9543  -2471.6351      0.2905     5.57491     3.51647

sys           -661.61942  -569.50287     0.11620     2.04816     2.04464

                    ideal       gamma    activity        prop               0         RT ln a
g     py       9.62380e-5     4.39030 0.000422514    0.042872   -6515.14580097    -51.20941970    -6515.1458    -51.2094
      alm       0.0771026     1.18552   0.0914065     0.42649   -5554.60722933    -15.76919257    -5554.6072    -15.7692
      spss     0.00745916    0.980204  0.00731150     0.19579   -5978.16052930    -32.41785477    -5978.1605    -32.4179
      gr        0.0363082     1.17365   0.0426132     0.33181   -6856.23585253    -20.79932837    -6856.2359    -20.7993
      kho     8.99535e-10     1.96856  1.77078e-9   0.0030480   -5662.41238330   -132.82608572    -5662.4124   -132.8261

ep    cz         0.969604     1.00014    0.969738     0.97006   -7141.86899726      0.20254836    -7141.8690     -0.2025
      ep        0.0299295     1.15338   0.0345199    0.029476   -6734.32563474    -22.18762545    -6734.3256    -22.1876
      fep      1.39833e-5     1.55494  2.17431e-5  0.00046699   -6300.18979982    -70.76520092    -6300.1898    -70.7652

mu    mu         0.710153    0.980806    0.696522     0.69563   -6206.43967180     -2.38376817    -6206.4397     -2.3838
      cel       0.0128301     2.54469   0.0326487    0.055103   -6064.40434465    -22.55498080    -6064.4043    -22.5550
      fcel     0.00904854     2.54469   0.0230257    0.038862   -5730.10986797    -24.85659713    -5730.1099    -24.8566
      pa         0.181809     4.97746    0.904948     0.20221   -6166.98944663      0.65831784    -6166.9894     -0.6583
      mat      0.00150160     110.475    0.165888   0.0079380   -6454.33440996    -11.84080652    -6454.3344    -11.8408
      fmu     0.000182133     1.36764 0.000249092  0.00025640   -5768.57296296    -54.69223427    -5768.5730    -54.6922

pa    mu        0.0661360     10.5311    0.696487    0.064197   -6206.43967180     -2.38410343    -6206.4397     -2.3841
      cel      1.96068e-5     1664.90   0.0326433   0.0013204   -6064.40434465    -22.55605746    -6064.4043    -22.5561
      fcel     1.38279e-5     1664.90   0.0230220  0.00093124   -5730.10986797    -24.85767379    -5730.1099    -24.8577
      pa         0.871804     1.03805    0.904980     0.87644   -6166.98944663      0.65808943    -6166.9894     -0.6581
      mat       0.0158391     10.4740    0.165898    0.057073   -6454.33440996    -11.84041329    -6454.3344    -11.8404
      fmu      2.56735e-6     97.0127 0.000249066   3.8818e-5   -5768.57296296    -54.69294147    -5768.5730    -54.6929

bi    phl       0.0576121     1.91231    0.110172     0.27115   -6471.86567254    -14.53840863    -6471.8657    -14.5384
      annm       0.119880     1.43977    0.172600     0.49710   -5478.84606811    -11.57938481    -5478.8461    -11.5794
      obi        0.120370     1.43988    0.173318    0.069418   -6142.85913773    -11.55203591    -6142.8591    -11.5520
      east     0.00529676     3.66363   0.0194054    0.083857   -6582.28436026    -25.98411319    -6582.2844    -25.9841
      tbi      8.87076e-5     39.9158  0.00354084    0.071151   -6421.70561391    -37.19708040    -6421.7056    -37.1971
      fbi     0.000160479     3.02580 0.000485576   0.0025407   -6172.41765142    -50.29248108    -6172.4177    -50.2925
      mmbi     9.33718e-8     1.94426  1.81539e-7   0.0047774   -5828.31927213   -102.30822454    -5828.3193   -102.3082

ab                                                             -4090.0763
q                                                               -940.9335
H2O                                                             -344.5843
sph                                                            -2701.9543

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

g ep mu pa bi ab q H2O sph  {8.0800, 523.539}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90183   0.33324   0.18398   0.00312
ep        f(ep)     Q(ep)
        0.01520   0.01473
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41526   0.90250   0.00026   0.20042   0.00796
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41526   0.99762   0.00004   0.87773   0.05635
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55134   0.00453   0.08349   0.00253   0.07243   0.16313

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.04740   0.43539   0.18398   0.33324   0.99688   0.00312
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00047   0.99953   0.02993   0.97007
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.79161   0.20042   0.00796   0.05701   0.04049   0.90250   0.99974   0.00026   0.54477   0.45523
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06591   0.87773   0.05635   0.00139   0.00099   0.99762   0.99996   0.00004   0.47302   0.52698
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27178   0.00453   0.56524   0.00253   0.07243   0.08349   0.49851   0.00453   0.49696   0.45699   0.54301   0.92757   0.07243

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    0.996878    0.999728    0.142185    1.312400           0           0           0    0.551931    0.003122
ep        0.500000           3    1.484796           2           0    0.030407           0           0           0           0    0.015204
mu               1    3.089532    1.406354    0.007963    0.057010    0.040751    0.395806    0.100212           0           0    0.000132
pa               1    2.946031    1.525772    0.056353    0.001394    0.001031    0.032956    0.438867           0           0    0.000020
bi        0.927574    2.913973    0.584759           0    1.268794    1.561707    0.500000           0    0.072426    0.013581    0.001267
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00305913  0.01148976  0.06626082  0.14063765  0.12739104              0.20158195  0.44418891  0.00539073

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13984793  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6131.8923  -5534.4886      0.7499    12.00108     3.97611
ep            -7130.1821  -6551.2013      0.7267    13.73471     3.31442
mu            -6176.8807  -5616.6356      0.7032    13.99009     2.83198
pa            -6186.3005  -5640.9968      0.6845    13.35649     2.87633
bi            -5973.6913  -5309.8890      0.8332    15.23433     3.07604
ab            -4089.6892  -3719.2971      0.4649    10.06339     2.60558
q              -940.8180   -862.6750      0.0981     2.27665     2.63897
H2O            -344.6753   -241.6232      0.1294     1.89618     0.95007
sph           -2701.8734  -2469.6689      0.2915     5.57411     3.51697

sys           -661.62710  -568.87145     0.11643     2.04438     2.04843

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000105800     4.36388 0.000461697    0.044273   -6515.26660711    -50.87624542    -6515.2666    -50.8762
      alm       0.0820174     1.18023   0.0967992     0.43539   -5555.03991215    -15.46779434    -5555.0399    -15.4678
      spss     0.00618834    0.979934  0.00606416     0.18398   -5978.47738609    -33.81785445    -5978.4774    -33.8179
      gr        0.0367761     1.17853   0.0433418     0.33324   -6856.04510615    -20.79031587    -6856.0451    -20.7903
      kho      1.03761e-9     1.92296  1.99529e-9   0.0031219   -5662.68068638   -132.69497605    -5662.6807   -132.6950

ep    cz         0.969607     1.00014    0.969740     0.97007   -7141.69702528      0.20353524    -7141.6970     -0.2035
      ep        0.0299194     1.15257   0.0344840    0.029460   -6734.21236150    -22.30469570    -6734.2124    -22.3047
      fep      1.41770e-5     1.55155  2.19963e-5  0.00047362   -6300.09367185    -71.03990786    -6300.0937    -71.0399

mu    mu         0.708519    0.978599    0.693356     0.69385   -6206.07432913     -2.42578381    -6206.0743     -2.4258
      cel       0.0133895     2.51325   0.0336513    0.057010   -6064.04714166    -22.46662628    -6064.0471    -22.4666
      fcel     0.00950869     2.51325   0.0238978    0.040486   -5729.90166476    -24.73379365    -5729.9017    -24.7338
      pa         0.179387     5.04911    0.905744     0.20042   -6166.73452243      0.65576733    -6166.7345     -0.6558
      mat      0.00148901     108.899    0.162151   0.0079633   -6454.09794892    -12.05052841    -6454.0979    -12.0505
      fmu     0.000187782     1.35249 0.000253973  0.00026496   -5768.28136876    -54.83528206    -5768.2814    -54.8353

pa    mu        0.0655614     10.5751    0.693321    0.063488   -6206.07432913     -2.42611991    -6206.0743     -2.4261
      cel      2.05613e-5     1636.37   0.0336458   0.0013943   -6064.04714166    -22.46770218    -6064.0471    -22.4677
      fcel     1.46018e-5     1636.37   0.0238939  0.00099016   -5729.90166476    -24.73486955    -5729.9017    -24.7349
      pa         0.873055     1.03748    0.905775     0.87773   -6166.73452243      0.65553641    -6166.7345     -0.6555
      mat       0.0156120     10.3869    0.162161    0.056353   -6454.09794892    -12.05013624    -6454.0979    -12.0501
      fmu      2.65922e-6     95.4963 0.000253946   4.0559e-5   -5768.28136876    -54.83598855    -5768.2814    -54.8360

bi    phl       0.0576804     1.90614    0.109947     0.27178   -6471.51346854    -14.62418072    -6471.5135    -14.6242
      annm       0.119222     1.43844    0.171493     0.49696   -5478.82317670    -11.67949717    -5478.8232    -11.6795
      obi        0.119964     1.43752    0.172452    0.068280   -6142.61670459    -11.64258822    -6142.6167    -11.6426
      east     0.00526391     3.64991   0.0192128    0.083492   -6581.94506328    -26.17920684    -6581.9451    -26.1792
      tbi      9.37156e-5     38.8319  0.00363916    0.072426   -6421.31160108    -37.20035738    -6421.3116    -37.2004
      fbi     0.000159794     3.01756 0.000482187   0.0025345   -6172.15210291    -50.58860866    -6172.1521    -50.5886
      mmbi     7.92314e-8     1.93867  1.53603e-7   0.0045270   -5828.36719504   -103.92309342    -5828.3672   -103.9231

ab                                                             -4089.6892
q                                                               -940.8180
H2O                                                             -344.6753
sph                                                            -2701.8734

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

g ep mu pa bi ab q H2O sph  {8.3000, 527.362}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90088   0.33475   0.17228   0.00320
ep        f(ep)     Q(ep)
        0.01522   0.01474
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41680   0.89885   0.00027   0.19859   0.00798
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41680   0.99748   0.00004   0.87915   0.05555
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55073   0.00427   0.08304   0.00253   0.07366   0.16204

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.04887   0.44410   0.17228   0.33475   0.99680   0.00320
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00048   0.99952   0.02996   0.97004
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.79343   0.19859   0.00798   0.05899   0.04216   0.89885   0.99973   0.00027   0.54659   0.45341
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06529   0.87915   0.05555   0.00147   0.00105   0.99748   0.99996   0.00004   0.47348   0.52652
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27249   0.00427   0.56401   0.00253   0.07366   0.08304   0.49901   0.00427   0.49672   0.45722   0.54278   0.92634   0.07366

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    0.996800    1.004262    0.146596    1.338712           0           0           0    0.516830    0.003200
ep        0.500000           3    1.484781           2           0    0.030438           0           0           0           0    0.015219
mu               1    3.093170    1.402705    0.007976    0.058988    0.042432    0.396717    0.099295           0           0    0.000137
pa               1    2.946966    1.525236    0.055555    0.001470    0.001093    0.032646    0.439577           0           0    0.000021
bi        0.926339    2.914433    0.584303           0    1.270508    1.559971    0.500000           0    0.073661    0.012821    0.001264
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00344678  0.01139550  0.06668015  0.14045412  0.12700818              0.20144208  0.44423010  0.00534309

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13986374  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6130.3215  -5528.4804      0.7518    11.99891     3.97538
ep            -7129.9311  -6546.3299      0.7290    13.73370     3.31467
mu            -6175.5708  -5610.6940      0.7056    13.98774     2.83300
pa            -6185.6817  -5636.0262      0.6866    13.35263     2.87700
bi            -5974.1555  -5305.4251      0.8354    15.22931     3.07671
ab            -4089.2556  -3715.9271      0.4664    10.06060     2.60631
q              -940.6928   -861.9286      0.0984     2.27582     2.63992
H2O            -344.7536   -241.1376      0.1294     1.88891     0.95373
sph           -2701.7630  -2467.7244      0.2924     5.57330     3.51748

sys           -661.62323  -568.24787     0.11664     2.04062     2.05220

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000115935     4.33971 0.000503124    0.045665   -6515.31983308    -50.54845041    -6515.3198    -50.5485
      alm       0.0870305     1.17517    0.102275     0.44410   -5555.39521757    -15.17573693    -5555.3952    -15.1757
      spss     0.00508036    0.979673  0.00497709     0.17228   -5978.71822804    -35.29497704    -5978.7182    -35.2950
      gr        0.0372729     1.18327   0.0441041     0.33475   -6855.78806828    -20.77403105    -6855.7881    -20.7740
      kho      1.19462e-9     1.87863  2.24425e-9   0.0031997   -5662.87272973   -132.54907446    -5662.8727   -132.5491

ep    cz         0.969576     1.00014    0.969709     0.97004   -7141.45191539      0.20472755    -7141.4519     -0.2047
      ep        0.0299434     1.15178   0.0344881    0.029477   -6734.02255258    -22.41094380    -6734.0226    -22.4109
      fep      1.43983e-5     1.54828  2.22925e-5  0.00048062   -6299.91863748    -71.29173805    -6299.9186    -71.2917

mu    mu         0.706797    0.976395    0.690113     0.69201   -6205.63945672     -2.46862247    -6205.6395     -2.4686
      cel       0.0139788     2.48198   0.0346952    0.058988   -6063.62007751    -22.37109469    -6063.6201    -22.3711
      fcel     0.00999052     2.48198   0.0247963    0.042158   -5729.61864855    -24.60681973    -5729.6186    -24.6068
      pa         0.176905     5.12489    0.906620     0.19859   -6166.41171626      0.65248085    -6166.4117     -0.6525
      mat      0.00147349     107.490    0.158386   0.0079760   -6453.79444729    -12.26475215    -6453.7944    -12.2648
      fmu     0.000193608     1.33753 0.000258956  0.00027385   -5767.91590505    -54.96906732    -5767.9159    -54.9691

pa    mu        0.0649408     10.6263    0.690078    0.062728   -6205.63945672     -2.46895952    -6205.6395     -2.4690
      cel      2.15170e-5     1612.19   0.0346896   0.0014701   -6063.62007751    -22.37217025    -6063.6201    -22.3722
      fcel     1.53780e-5     1612.19   0.0247922   0.0010506   -5729.61864855    -24.60789529    -5729.6186    -24.6079
      pa         0.874434     1.03684    0.906651     0.87915   -6166.41171626      0.65224730    -6166.4117     -0.6522
      mat       0.0153614     10.3112    0.158395    0.055555   -6453.79444729    -12.26436097    -6453.7944    -12.2644
      fmu      2.74992e-6     94.1585 0.000258929   4.2343e-5   -5767.91590505    -54.96977337    -5767.9159    -54.9698

bi    phl       0.0577986     1.89980    0.109806     0.27249   -6471.08531685    -14.70288270    -6471.0853    -14.7029
      annm       0.118537     1.43740    0.170385     0.49672   -5478.71233389    -11.77870754    -5478.7123    -11.7787
      obi        0.119632     1.43511    0.171684    0.067287   -6142.29432253    -11.72812646    -6142.2943    -11.7281
      east     0.00522741     3.63707   0.0190125    0.083039   -6581.53080629    -26.37457427    -6581.5308    -26.3746
      tbi      9.87967e-5     37.8106  0.00373556    0.073661   -6420.84598354    -37.20483820    -6420.8460    -37.2048
      fbi     0.000159162     3.00977 0.000479040   0.0025283   -6171.80725461    -50.87492443    -6171.8073    -50.8749
      mmbi     6.64821e-8     1.93342  1.28538e-7   0.0042735   -5828.32590561   -105.60746593    -5828.3259   -105.6075

ab                                                             -4089.2556
q                                                               -940.6928
H2O                                                             -344.7536
sph                                                            -2701.7630

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

g ep mu pa bi ab q H2O sph  {8.5200, 531.055}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89994   0.33636   0.16074   0.00328
ep        f(ep)     Q(ep)
        0.01525   0.01477
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41820   0.89507   0.00028   0.19669   0.00797
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41820   0.99734   0.00004   0.88071   0.05467
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55002   0.00402   0.08249   0.00252   0.07485   0.16101

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05032   0.45258   0.16074   0.33636   0.99672   0.00328
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00049   0.99951   0.03002   0.96998
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.79533   0.19669   0.00797   0.06105   0.04388   0.89507   0.99972   0.00028   0.54848   0.45152
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06462   0.88071   0.05467   0.00155   0.00111   0.99734   0.99996   0.00004   0.47400   0.52600
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27332   0.00402   0.56281   0.00252   0.07485   0.08249   0.49963   0.00402   0.49635   0.45750   0.54250   0.92515   0.07485

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    0.996718    1.009075    0.150964    1.364318           0           0           0    0.482207    0.003282
ep        0.500000           3    1.484745           2           0    0.030510           0           0           0           0    0.015255
mu               1    3.096958    1.398914    0.007974    0.061050    0.044165    0.397666    0.098347           0           0    0.000142
pa        1.000000    2.947993    1.524652    0.054667    0.001548    0.001157    0.032309    0.440357           0           0    0.000022
bi        0.925153    2.914992    0.583747           0    1.272576    1.558035    0.500000           0    0.074847    0.012056    0.001261
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00388832  0.01127070  0.06716719  0.14023997  0.12657250              0.20128792  0.44427390  0.00529950

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13987892  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6128.8149  -5522.7135      0.7537    11.99684     3.97459
ep            -7129.5788  -6541.5050      0.7312    13.73264     3.31494
mu            -6174.1432  -5604.7742      0.7080    13.98540     2.83404
pa            -6184.9528  -5631.0920      0.6887    13.34866     2.87768
bi            -5974.5764  -5301.0924      0.8375    15.22423     3.07734
ab            -4088.7674  -3712.5983      0.4678    10.05778     2.60704
q              -940.5561   -861.1912      0.0987     2.27498     2.64090
H2O            -344.8169   -240.6575      0.1295     1.88170     0.95738
sph           -2701.6183  -2465.8046      0.2932     5.57248     3.51800

sys           -661.60585  -567.63198     0.11685     2.03687     2.05598

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000126591     4.31807 0.000546629    0.047039   -6515.29395499    -50.22711525    -6515.2940    -50.2271
      alm       0.0920966     1.17037    0.107787     0.45258   -5555.66014371    -14.89477982    -5555.6601    -14.8948
      spss     0.00412554    0.979421  0.00404064     0.16074   -5978.87029931    -36.85155285    -5978.8703    -36.8516
      gr        0.0378052     1.18782   0.0449056     0.33636   -6855.45338387    -20.74943953    -6855.4534    -20.7494
      kho      1.37283e-9     1.83550  2.51983e-9   0.0032823   -5662.97573893   -132.38614916    -5662.9757   -132.3861

ep    cz         0.969505     1.00014    0.969638     0.96998   -7141.12123009      0.20616095    -7141.1212     -0.2062
      ep        0.0300068     1.15101   0.0345380    0.029533   -6733.74323688    -22.50465758    -6733.7432    -22.5047
      fep      1.46529e-5     1.54512  2.26406e-5  0.00048808   -6299.65138342    -71.51704006    -6299.6514    -71.5170

mu    mu         0.704985    0.974187    0.686787     0.69012   -6205.12309182     -2.51232005    -6205.1231     -2.5123
      cel       0.0146025     2.45073   0.0357869    0.061050   -6063.11121130    -22.26714756    -6063.1112    -22.2671
      fcel      0.0104962     2.45073   0.0257234    0.043882   -5729.24816291    -24.47488607    -5729.2482    -24.4749
      pa         0.174350     5.20554    0.907587     0.19669   -6166.00935106      0.64836201    -6166.0094     -0.6484
      mat      0.00145465     106.260    0.154572   0.0079739   -6453.41236121    -12.48428966    -6453.4124    -12.4843
      fmu     0.000199640     1.32272 0.000264067  0.00028310   -5767.46398380    -55.09196976    -5767.4640    -55.0920

pa    mu        0.0642688     10.6856    0.686752    0.061914   -6205.12309182     -2.51265814    -6205.1231     -2.5127
      cel      2.24669e-5     1592.61   0.0357811   0.0015476   -6063.11121130    -22.26822325    -6063.1112    -22.2682
      fcel     1.61491e-5     1592.61   0.0257193   0.0011124   -5729.24816291    -24.47596176    -5729.2482    -24.4760
      pa         0.875957     1.03614    0.907619     0.88071   -6166.00935106      0.64812571    -6166.0094     -0.6481
      mat       0.0150845     10.2477    0.154581    0.054667   -6453.41236121    -12.48389942    -6453.4124    -12.4839
      fmu      2.83887e-6     93.0087 0.000264039   4.4170e-5   -5767.46398380    -55.09267567    -5767.4640    -55.0927

bi    phl       0.0579750     1.89326    0.109762     0.27332   -6470.56833723    -14.77341444    -6470.5683    -14.7734
      annm       0.117820     1.43670    0.169271     0.49635   -5478.49888478    -11.87689138    -5478.4989    -11.8769
      obi        0.119380     1.43262    0.171027    0.066456   -6141.87851975    -11.80787569    -6141.8785    -11.8079
      east     0.00518689     3.62515   0.0188033    0.082486   -6581.02884782    -26.57022905    -6581.0288    -26.5702
      tbi     0.000103914     36.8514  0.00382939    0.074847   -6420.29665598    -37.21060229    -6420.2967    -37.2106
      fbi     0.000158595     3.00245 0.000476172   0.0025221   -6171.36973980    -51.14978580    -6171.3697    -51.1498
      mmbi     5.51413e-8     1.92855  1.06343e-7   0.0040185   -5828.18062545   -107.36215792    -5828.1806   -107.3622

ab                                                             -4088.7674
q                                                               -940.5561
H2O                                                             -344.8169
sph                                                            -2701.6183

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

g ep mu pa bi ab q H2O sph  {8.7400, 534.600}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89902   0.33808   0.14941   0.00337
ep        f(ep)     Q(ep)
        0.01531   0.01482
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41942   0.89113   0.00029   0.19472   0.00795
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41942   0.99720   0.00005   0.88243   0.05368
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.54920   0.00376   0.08182   0.00252   0.07597   0.16005

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05175   0.46076   0.14941   0.33808   0.99663   0.00337
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00050   0.99950   0.03013   0.96987
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.79732   0.19472   0.00795   0.06321   0.04566   0.89113   0.99971   0.00029   0.55046   0.44954
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06389   0.88243   0.05368   0.00163   0.00118   0.99720   0.99995   0.00005   0.47456   0.52544
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27427   0.00376   0.56165   0.00252   0.07597   0.08182   0.50039   0.00376   0.49585   0.45783   0.54217   0.92403   0.07597

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    0.996629    1.014227    0.155262    1.389015           0           0           0    0.448238    0.003371
ep        0.500000    3.000000    1.484687           2           0    0.030627           0           0           0           0    0.015313
mu               1    3.100916    1.394960    0.007955    0.063208    0.045955    0.398661    0.097361           0           0    0.000146
pa               1    2.949121    1.524015    0.053681    0.001627    0.001221    0.031943    0.441216           0           0    0.000023
bi        0.924025    2.915662    0.583080           0    1.275050    1.555862    0.500000           0    0.075975    0.011291    0.001258
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00439170  0.01111003  0.06773004  0.13999273  0.12607660              0.20111759  0.44432062  0.00526069

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13989336  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6127.3991  -5517.2383      0.7554    11.99491     3.97372
ep            -7129.1089  -6536.7326      0.7334    13.73155     3.31523
mu            -6172.5806  -5598.8807      0.7102    13.98308     2.83510
pa            -6184.0976  -5626.2003      0.6907    13.34456     2.87838
bi            -5974.9477  -5296.9107      0.8394    15.21908     3.07793
ab            -4088.2158  -3709.3162      0.4691    10.05491     2.60778
q              -940.4061   -860.4641      0.0990     2.27413     2.64189
H2O            -344.8631   -240.1913      0.1296     1.87464     0.96099
sph           -2701.4335  -2463.9131      0.2941     5.57165     3.51853

sys           -661.57279  -567.02831     0.11705     2.03316     2.05973

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000137689     4.29928 0.000591964    0.048383   -6515.17604577    -49.91345091    -6515.1760    -49.9135
      alm       0.0971597     1.16587    0.113276     0.46076   -5555.82010576    -14.62689763    -5555.8201    -14.6269
      spss     0.00331305    0.979179  0.00324407     0.14941   -5978.91929161    -38.48866625    -5978.9193    -38.4887
      gr        0.0383803     1.19209   0.0457529     0.33808   -6855.02831532    -20.71538227    -6855.0283    -20.7154
      kho      1.57479e-9     1.79348  2.82435e-9   0.0033705   -5662.97538566   -132.20358170    -5662.9754   -132.2036

ep    cz         0.969388     1.00014    0.969521     0.96987   -7140.69101788      0.20787845    -7140.6910     -0.2079
      ep        0.0301159     1.15026   0.0346411    0.029635   -6733.35986468    -22.58386294    -6733.3599    -22.5839
      fep      1.49480e-5     1.54210  2.30513e-5  0.00049610   -6299.27697643    -71.71160797    -6299.2770    -71.7116

mu    mu         0.703076    0.971967    0.683367     0.68816   -6204.51181550     -2.55692331    -6204.5118     -2.5569
      cel       0.0152661     2.41936   0.0369341    0.063208   -6062.50714884    -22.15340551    -6062.5071    -22.1534
      fcel      0.0110285     2.41936   0.0266818    0.045663   -5728.77601142    -24.33711750    -5728.7760    -24.3371
      pa         0.171706     5.29194    0.908657     0.19472   -6165.51432876      0.64330822    -6165.5143     -0.6433
      mat      0.00143212     105.224    0.150692   0.0079547   -6452.93874058    -12.71005766    -6452.9387    -12.7101
      fmu     0.000205915     1.30800 0.000269338  0.00029279   -5766.91148544    -55.20212143    -5766.9115    -55.2021

pa    mu        0.0635396     10.7544    0.683332    0.061039   -6204.51181550     -2.55726257    -6204.5118     -2.5573
      cel      2.34029e-5     1577.93   0.0369281   0.0016267   -6062.50714884    -22.15448185    -6062.5071    -22.1545
      fcel     1.69066e-5     1577.93   0.0266775   0.0011751   -5728.77601142    -24.33819383    -5728.7760    -24.3382
      pa         0.877642     1.03538    0.908689     0.88243   -6165.51432876      0.64306901    -6165.5143     -0.6431
      mat       0.0147783     10.1975    0.150701    0.053681   -6452.93874058    -12.70966828    -6452.9387    -12.7097
      fmu      2.92543e-6     92.0583 0.000269310   4.6039e-5   -5766.91148544    -55.20282754    -5766.9115    -55.2028

bi    phl       0.0582188     1.88645    0.109827     0.27427   -6469.94808384    -14.83455018    -6469.9481    -14.8346
      annm       0.117066     1.43636    0.168149     0.49585   -5478.16639336    -11.97391904    -5478.1664    -11.9739
      obi        0.119221     1.43005    0.170492    0.065807   -6141.35418701    -11.88097551    -6141.3542    -11.8810
      east     0.00514192     3.61419   0.0185839    0.081822   -6580.42489743    -26.76619146    -6580.4249    -26.7662
      tbi     0.000109025     35.9544  0.00391991    0.075975   -6419.65004111    -37.21773676    -6419.6500    -37.2177
      fbi     0.000158108     2.99558 0.000473626   0.0025159   -6170.82456737    -51.41129834    -6170.8246    -51.4113
      mmbi     4.51981e-8     1.92406  8.69637e-8   0.0037637   -5827.91478092   -109.18656357    -5827.9148   -109.1866

ab                                                             -4088.2158
q                                                               -940.4061
H2O                                                             -344.8631
sph                                                            -2701.4335

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

g ep mu pa bi ab q H2O sph  {8.9600, 537.979}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89812   0.33993   0.13837   0.00347
ep        f(ep)     Q(ep)
        0.01540   0.01489
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.42046   0.88702   0.00030   0.19266   0.00792
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.42046   0.99705   0.00005   0.88433   0.05258
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.54824   0.00351   0.08104   0.00251   0.07703   0.15917

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05315   0.46855   0.13837   0.33993   0.99653   0.00347
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00050   0.99950   0.03029   0.96971
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.79942   0.19266   0.00792   0.06548   0.04750   0.88702   0.99970   0.00030   0.55253   0.44747
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06309   0.88433   0.05258   0.00171   0.00124   0.99705   0.99995   0.00005   0.47518   0.52482
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27537   0.00351   0.56054   0.00251   0.07703   0.08104   0.50131   0.00351   0.49518   0.45823   0.54177   0.92297   0.07703

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    0.996535    1.019782    0.159456    1.412577           0           0           0    0.415116    0.003465
ep        0.500000           3    1.484601           2           0    0.030798           0           0           0           0    0.015399
mu               1    3.105067    1.390823    0.007916    0.065479    0.047807    0.399712    0.096330           0           0    0.000151
pa               1    2.950361    1.523323    0.052584    0.001707    0.001286    0.031545    0.442163           0           0    0.000024
bi        0.922967    2.916454    0.582291           0    1.277985    1.553413    0.500000           0    0.077033    0.010533    0.001255
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00496569  0.01090732  0.06837731  0.13971017  0.12551243              0.20092906  0.44437062  0.00522741

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13990691  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6126.1043  -5512.1109      0.7570    11.99316     3.97276
ep            -7128.5031  -6532.0196      0.7354    13.73040     3.31554
mu            -6170.8638  -5593.0184      0.7124    13.98078     2.83617
pa            -6183.0984  -5621.3583      0.6925    13.34032     2.87908
bi            -5975.2627  -5292.9019      0.8412    15.21385     3.07847
ab            -4087.5909  -3706.0861      0.4703    10.05200     2.60853
q              -940.2407   -859.7488      0.0992     2.27325     2.64291
H2O            -344.8893   -239.7302      0.1296     1.86755     0.96463
sph           -2701.2026  -2462.0537      0.2948     5.57080     3.51907

sys           -661.52164  -566.43374     0.11723     2.02942     2.06353

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000149122     4.28369 0.000638791    0.049686   -6514.95196276    -49.60878152    -6514.9520    -49.6088
      alm        0.102153     1.16171    0.118671     0.46855   -5555.85914888    -14.37425776    -5555.8591    -14.3743
      spss     0.00263105    0.978948  0.00257566     0.13837   -5978.84955325    -40.20566814    -5978.8496    -40.2057
      gr        0.0390071     1.19602   0.0466533     0.33993   -6854.49892698    -20.67059357    -6854.4989    -20.6706
      kho      1.80337e-9     1.75250  3.16041e-9   0.0034655   -5662.85599736   -131.99833568    -5662.8560   -131.9983

ep    cz         0.969217     1.00014    0.969351     0.96971   -7140.14601620      0.20993161    -7140.1460     -0.2099
      ep        0.0302782     1.14953   0.0348058    0.029789   -6732.85651951    -22.64632019    -6732.8565    -22.6463
      fep      1.52922e-5     1.53920  2.35378e-5  0.00050480   -6298.77908115    -71.87067561    -6298.7791    -71.8707

mu    mu         0.701063    0.969731    0.679842     0.68614   -6203.79094795     -2.60249329    -6203.7909     -2.6025
      cel       0.0159758     2.38771   0.0381457    0.065479   -6061.79323766    -22.02837172    -6061.7932    -22.0284
      fcel      0.0115903     2.38771   0.0276744    0.047504   -5728.18666524    -24.19257059    -5728.1867    -24.1926
      pa         0.168955     5.38512    0.909841     0.19266   -6164.91232085      0.63721500    -6164.9123     -0.6372
      mat      0.00140548     104.396    0.146727   0.0079160   -6452.35941653    -12.94306927    -6452.3594    -12.9431
      fmu     0.000212480     1.29334 0.000274808  0.00030299   -5766.24296525    -55.29740295    -5766.2430    -55.2974

pa    mu        0.0627470     10.8341    0.679808    0.060097   -6203.79094795     -2.60283384    -6203.7909     -2.6028
      cel      2.43158e-5     1568.51   0.0381396   0.0017070   -6061.79323766    -22.02944956    -6061.7932    -22.0294
      fcel     1.76409e-5     1568.51   0.0276700   0.0012384   -5728.18666524    -24.19364843    -5728.1867    -24.1936
      pa         0.879506     1.03453    0.909874     0.88433   -6164.91232085      0.63697270    -6164.9123     -0.6370
      mat       0.0144401     10.1616    0.146735    0.052584   -6452.35941653    -12.94268064    -6452.3594    -12.9427
      fmu      3.00896e-6     91.3204 0.000274780   4.7952e-5   -5766.24296525    -55.29810976    -5766.2430    -55.2981

bi    phl       0.0585403     1.87933    0.110017     0.27537   -6469.20875689    -14.88495764    -6469.2088    -14.8850
      annm       0.116269     1.43644    0.167014     0.49518   -5477.69688497    -12.06966421    -5477.6969    -12.0697
      obi        0.119164     1.42738    0.170093    0.065360   -6140.70479958    -11.94649565    -6140.7048    -11.9465
      east     0.00509207     3.60421   0.0183529    0.081036   -6579.70332476    -26.96249038    -6579.7033    -26.9625
      tbi     0.000114076     35.1197  0.00400633    0.077033   -6418.89128850    -37.22633476    -6418.8913    -37.2263
      fbi     0.000157721     2.98917 0.000471455   0.0025100   -6170.15534206    -51.65731076    -6170.1553    -51.6573
      mmbi     3.66131e-8     1.91998  7.02962e-8   0.0035110   -5827.51024822   -111.07819194    -5827.5102   -111.0782

ab                                                             -4087.5909
q                                                               -940.2407
H2O                                                             -344.8893
sph                                                            -2701.2026

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

g ep mu pa bi ab q H2O sph  {9.1800, 541.170}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89724   0.34194   0.12768   0.00357
ep        f(ep)     Q(ep)
        0.01552   0.01500
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.42128   0.88271   0.00031   0.19049   0.00786
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.42128   0.99691   0.00005   0.88641   0.05137
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.54713   0.00326   0.08012   0.00250   0.07801   0.15838

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05450   0.47588   0.12768   0.34194   0.99643   0.00357
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00051   0.99949   0.03052   0.96948
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.80166   0.19049   0.00786   0.06788   0.04941   0.88271   0.99969   0.00031   0.55472   0.44528
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06222   0.88641   0.05137   0.00179   0.00130   0.99691   0.99995   0.00005   0.47586   0.52414
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27664   0.00326   0.55947   0.00250   0.07801   0.08012   0.50240   0.00326   0.49433   0.45869   0.54131   0.92199   0.07801

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    0.996431    1.025815    0.163509    1.434764           0           0           0    0.383050    0.003569
ep        0.500000    3.000000    1.484484           2           0    0.031033           0           0           0           0    0.015516
mu               1    3.109438    1.386478    0.007855    0.067880    0.049727    0.400829    0.095243           0           0    0.000157
pa               1    2.951721    1.522569    0.051369    0.001788    0.001352    0.031112    0.443203           0           0    0.000025
bi        0.921989    2.917380    0.581367           0    1.281442    1.550644    0.500000           0    0.078011    0.009788    0.001252
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00561973  0.01065553  0.06911780  0.13939054  0.12487148              0.20072020  0.44442425  0.00520047

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13991943  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6124.9637  -5507.3914      0.7584    11.99162     3.97170
ep            -7127.7418  -6527.3724      0.7373    13.72919     3.31588
mu            -6168.9722  -5587.1920      0.7144    13.97850     2.83727
pa            -6181.9373  -5616.5740      0.6943    13.33592     2.87979
bi            -5975.5152  -5289.0899      0.8429    15.20854     3.07895
ab            -4086.8824  -3702.9150      0.4715    10.04903     2.60931
q              -940.0577   -859.0467      0.0995     2.27235     2.64395
H2O            -344.8930   -239.2848      0.1297     1.86053     0.96827
sph           -2700.9191  -2460.2305      0.2956     5.56993     3.51961

sys           -661.44989  -565.85384     0.11739     2.02567     2.06735

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000160751     4.27168 0.000686677    0.050934   -6514.60675413    -49.31450448    -6514.6068    -49.3145
      alm        0.106998     1.15792    0.123895     0.47588   -5555.76040847    -14.13916447    -5555.7604    -14.1392
      spss     0.00206679    0.978727  0.00202282     0.12768   -5978.64454104    -41.99967725    -5978.6445    -41.9997
      gr        0.0396953     1.19952   0.0476151     0.34194   -6853.85048525    -20.61373969    -6853.8505    -20.6137
      kho      2.06189e-9     1.71249  3.53097e-9   0.0035686   -5662.60101010   -131.76694281    -5662.6010   -131.7669

ep    cz         0.968983     1.00014    0.969119     0.96948   -7139.47009083      0.21238171    -7139.4701     -0.2124
      ep        0.0305027     1.14883   0.0350424    0.030004   -6732.21637669    -22.68954204    -6732.2164    -22.6895
      fep      1.56963e-5     1.53645  2.41165e-5  0.00051432   -6298.14043125    -71.98895897    -6298.1404    -71.9890

mu    mu         0.698935    0.967471    0.676199     0.68405   -6202.94497121     -2.64910907    -6202.9450     -2.6491
      cel       0.0167394     2.35565   0.0394320    0.067880   -6060.95398910    -21.89048022    -6060.9540    -21.8905
      fcel      0.0121855     2.35565   0.0287047    0.049413   -5727.46371162    -24.04026817    -5727.4637    -24.0403
      pa         0.166078     5.48627    0.911151     0.19049   -6164.18818101      0.62998306    -6164.1882     -0.6300
      mat      0.00137441     103.796    0.142658   0.0078554   -6451.65940808    -13.18440545    -6451.6594    -13.1844
      fmu     0.000219390     1.27867 0.000280528  0.00031379   -5765.44209920    -55.37546102    -5765.4421    -55.3755

pa    mu        0.0618844     10.9263    0.676165    0.059084   -6202.94497121     -2.64945110    -6202.9450     -2.6495
      cel      2.51959e-5     1564.77   0.0394257   0.0017883   -6060.95398910    -21.89155970    -6060.9540    -21.8916
      fcel     1.83415e-5     1564.77   0.0287001   0.0013018   -5727.46371162    -24.04134765    -5727.4637    -24.0413
      pa         0.881564     1.03360    0.911184     0.88641   -6164.18818101      0.62973747    -6164.1882     -0.6297
      mat       0.0140678     10.1413    0.142666    0.051369   -6451.65940808    -13.18401753    -6451.6594    -13.1840
      fmu      3.08887e-6     90.8094 0.000280499   4.9911e-5   -5765.44209920    -55.37616872    -5765.4421    -55.3762

bi    phl       0.0589510     1.87183    0.110346     0.27664   -6468.33365954    -14.92323820    -6468.3337    -14.9232
      annm       0.115424     1.43698    0.165862     0.49433   -5477.07136831    -12.16401686    -5477.0714    -12.1640
      obi        0.119223     1.42458    0.169842    0.065136   -6139.91289580    -12.00346701    -6139.9129    -12.0035
      east     0.00503689     3.59526   0.0181089    0.080115   -6578.84761121    -27.15916441    -6578.8476    -27.1592
      tbi     0.000119012     34.3479  0.00408779    0.078011   -6418.00470403    -37.23649072    -6418.0047    -37.2365
      fbi     0.000157455     2.98323 0.000469724   0.0025044   -6169.34473920    -51.88542854    -6169.3447    -51.8854
      mmbi     2.93190e-8     1.91633  5.61850e-8   0.0032626   -5826.94788054   -113.03222581    -5826.9479   -113.0322

ab                                                             -4086.8824
q                                                               -940.0577
H2O                                                             -344.8930
sph                                                            -2700.9191

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

g ep mu pa bi ab q H2O sph  {9.4000, 544.152}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89638   0.34413   0.11742   0.00368
ep        f(ep)     Q(ep)
        0.01567   0.01515
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.42188   0.87817   0.00033   0.18819   0.00777
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.42188   0.99676   0.00005   0.88869   0.05003
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.54584   0.00302   0.07905   0.00250   0.07890   0.15768

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05579   0.48265   0.11742   0.34413   0.99632   0.00368
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00052   0.99948   0.03082   0.96918
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.80404   0.18819   0.00777   0.07043   0.05140   0.87817   0.99967   0.00033   0.55703   0.44297
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06128   0.88869   0.05003   0.00187   0.00136   0.99676   0.99995   0.00005   0.47660   0.52340
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27809   0.00302   0.55844   0.00250   0.07890   0.07905   0.50369   0.00302   0.49329   0.45923   0.54077   0.92110   0.07890

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    0.996318    1.032402    0.167384    1.455324           0           0           0    0.352253    0.003682
ep        0.500000    3.000000    1.484330           2           0    0.031341           0           0           0           0    0.015670
mu               1    3.114055    1.381896    0.007771    0.070431    0.051721    0.402021    0.094094           0           0    0.000163
pa               1    2.953207    1.521753    0.050029    0.001870    0.001417    0.030641    0.444345           0           0    0.000026
bi        0.921104    2.918452    0.580299           0    1.285484    1.547510    0.500000           0    0.078896    0.009061    0.001250
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00636365  0.01034685  0.06996009  0.13903285  0.12414514              0.20048889  0.44448187  0.00518066

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13993078  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6124.0130  -5503.1417      0.7597    11.99034     3.97053
ep            -7126.8046  -6522.7970      0.7390    13.72792     3.31625
mu            -6166.8846  -5581.4060      0.7164    13.97625     2.83839
pa            -6180.5968  -5611.8564      0.6959    13.33135     2.88052
bi            -5975.7000  -5285.4998      0.8445    15.20313     3.07937
ab            -4086.0799  -3699.8111      0.4726    10.04600     2.61009
q              -939.8550   -858.3593      0.0997     2.27143     2.64503
H2O            -344.8713   -238.8491      0.1297     1.85356     0.97192
sph           -2700.5764  -2458.4474      0.2963     5.56904     3.52018

sys           -661.35501  -565.28679     0.11754     2.02191     2.07119

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000172413     4.26363 0.000735106    0.052113   -6514.12533630    -49.03202106    -6514.1253    -49.0320
      alm        0.111610     1.15455    0.128859     0.48265   -5555.50687655    -13.92396822    -5555.5069    -13.9240
      spss     0.00160693    0.978520  0.00157241     0.11742   -5978.28757239    -43.86513742    -5978.2876    -43.8651
      gr        0.0404556     1.20249   0.0486475     0.34413   -6853.06812554    -20.54348373    -6853.0681    -20.5435
      kho      2.35426e-9     1.67337  3.93955e-9   0.0036816   -5662.19372219   -131.50550609    -5662.1937   -131.5055

ep    cz         0.968676     1.00014    0.968813     0.96918   -7138.64696778      0.21530094    -7138.6470     -0.2153
      ep        0.0307997     1.14815   0.0353626    0.030291   -6731.42246699    -22.71083790    -6731.4225    -22.7108
      fep      1.61733e-5     1.53384  2.48072e-5  0.00052484   -6297.34361367    -72.06075260    -6297.3436    -72.0608

mu    mu         0.696676    0.965186    0.672422     0.68189   -6201.95823322     -2.69687185    -6201.9582     -2.6969
      cel       0.0175652     2.32303   0.0408044    0.070431   -6059.97378121    -21.73817237    -6059.9738    -21.7382
      fcel      0.0128179     2.32303   0.0297763    0.051396   -5726.59060041    -23.87925472    -5726.5906    -23.8793
      pa         0.163059     5.59673    0.912595     0.18819   -6163.32663222      0.62152717    -6163.3266     -0.6215
      mat      0.00133862     103.442    0.138469   0.0077708   -6450.82360004    -13.43518180    -6450.8236    -13.4352
      fmu     0.000226714     1.26397 0.000286559  0.00032532   -5764.49242616    -55.43374724    -5764.4924    -55.4337

pa    mu        0.0609458     11.0326    0.672388    0.057994   -6201.95823322     -2.69721549    -6201.9582     -2.6972
      cel      2.60335e-5     1567.13   0.0407979   0.0018703   -6059.97378121    -21.73925447    -6059.9738    -21.7393
      fcel     1.89974e-5     1567.13   0.0297715   0.0013648   -5726.59060041    -23.88033682    -5726.5906    -23.8803
      pa         0.883830     1.03258    0.912628     0.88869   -6163.32663222      0.62127806    -6163.3266     -0.6213
      mat       0.0136600     10.1374    0.138477    0.050029   -6450.82360004    -13.43479443    -6450.8236    -13.4348
      fmu      3.16467e-6     90.5398 0.000286529   5.1923e-5   -5764.49242616    -55.43445642    -5764.4924    -55.4345

bi    phl       0.0594630     1.86390    0.110833     0.27809   -6467.30595798    -14.94798781    -6467.3060    -14.9480
      annm       0.114523     1.43802    0.164686     0.49329   -5476.27070309    -12.25690421    -5476.2707    -12.2569
      obi        0.119407     1.42165    0.169755    0.065155   -6138.96087302    -12.05092928    -6138.9609    -12.0509
      east     0.00497599     3.58735   0.0178506    0.079049   -6577.84110143    -27.35626103    -6577.8411    -27.3563
      tbi     0.000123767     33.6392  0.00416343    0.078896   -6416.97446426    -37.24829178    -6416.9745    -37.2483
      fbi     0.000157338     2.97773 0.000468510   0.0024995   -6168.37529437    -52.09305034    -6168.3753    -52.0931
      mmbi     2.32240e-8     1.91315  4.44311e-8   0.0030205   -5826.20838377   -115.04116355    -5826.2084   -115.0412

ab                                                             -4086.0799
q                                                               -939.8550
H2O                                                             -344.8713
sph                                                            -2700.5764

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

g ep mu pa bi ab q H2O sph  {9.6200, 546.907}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89554   0.34654   0.10764   0.00381
ep        f(ep)     Q(ep)
        0.01587   0.01533
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.42222   0.87339   0.00034   0.18575   0.00766
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.42222   0.99662   0.00005   0.89118   0.04856
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.54437   0.00279   0.07783   0.00250   0.07968   0.15709

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05701   0.48880   0.10764   0.34654   0.99619   0.00381
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00054   0.99946   0.03120   0.96880
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.80659   0.18575   0.00766   0.07315   0.05346   0.87339   0.99966   0.00034   0.55947   0.44053
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06026   0.89118   0.04856   0.00195   0.00143   0.99662   0.99995   0.00005   0.47741   0.52259
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27976   0.00279   0.55744   0.00250   0.07968   0.07783   0.50520   0.00279   0.49201   0.45984   0.54016   0.92032   0.07968

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    0.996194    1.039620    0.171042    1.474016           0           0           0    0.322934    0.003806
ep        0.500000    3.000000    1.484133           2           0    0.031734           0           0           0           0    0.015867
mu        1.000000    3.118950    1.377051    0.007661    0.073153    0.053795    0.403297    0.092873           0           0    0.000169
pa        1.000000    2.954819    1.520874    0.048561    0.001953    0.001481    0.030128    0.445591           0           0    0.000027
bi        0.920321    2.919676    0.579077           0    1.290171    1.543960    0.500000           0    0.079679    0.008361    0.001248
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00720723  0.00997279  0.07091190  0.13863728  0.12332514              0.20023314  0.44454379  0.00516873

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13994081  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6123.2884  -5499.4223      0.7608    11.98936     3.96922
ep            -7125.6714  -6518.2979      0.7406    13.72659     3.31666
mu            -6164.5805  -5575.6636      0.7181    13.97404     2.83954
pa            -6179.0617  -5607.2148      0.6973    13.32657     2.88126
bi            -5975.8136  -5282.1568      0.8459    15.19761     3.07971
ab            -4085.1736  -3696.7796      0.4736    10.04291     2.61090
q              -939.6303   -857.6881      0.0999     2.27048     2.64613
H2O            -344.8217   -238.4274      0.1297     1.84651     0.97562
sph           -2700.1683  -2456.7083      0.2969     5.56813     3.52075

sys           -661.23462  -564.73532     0.11767     2.01808     2.07512

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000183922     4.25992 0.000783495    0.053208   -6513.49346772    -48.76263719    -6513.4935    -48.7626
      alm        0.115900     1.15164    0.133475     0.48880   -5555.08250293    -13.73092988    -5555.0825    -13.7309
      spss     0.00123785    0.978327  0.00121102     0.10764   -5977.76290600    -45.79359459    -5977.7629    -45.7936
      gr        0.0412997     1.20485   0.0497599     0.34654   -6852.13781123    -20.45857775    -6852.1378    -20.4586
      kho      2.68527e-9     1.63506  4.39058e-9   0.0038065   -5661.61837674   -131.20973402    -5661.6184   -131.2097

ep    cz         0.968282     1.00015    0.968423     0.96880   -7137.66128525      0.21877347    -7137.6613     -0.2188
      ep        0.0311811     1.14749   0.0357800    0.030661   -6730.45877406    -22.70739006    -6730.4588    -22.7074
      fep      1.67392e-5     1.53137  2.56340e-5  0.00053655   -6296.37219577    -72.08009887    -6296.3722    -72.0801

mu    mu         0.694268    0.962876    0.668494     0.67965   -6200.81595971     -2.74590867    -6200.8160     -2.7459
      cel       0.0184629     2.28974   0.0422753    0.073153   -6058.83786900    -21.57000477    -6058.8379    -21.5700
      fcel      0.0134920     2.28974   0.0308932    0.053457   -5725.55171643    -23.70867248    -5725.5517    -23.7087
      pa         0.159879     5.71794    0.914180     0.18575   -6162.31325437      0.61178819    -6162.3133     -0.6118
      mat      0.00129798     103.354    0.134151   0.0076606   -6449.83771788    -13.69647667    -6449.8377    -13.6965
      fmu     0.000234534     1.24919 0.000292977  0.00033770   -5763.37841421    -55.46959011    -5763.3784    -55.4696

pa    mu        0.0599264     11.1547    0.668461    0.056822   -6200.81595971     -2.74625414    -6200.8160     -2.7463
      cel      2.68190e-5     1576.07   0.0422685   0.0019529   -6058.83786900    -21.57109027    -6058.8379    -21.5711
      fcel     1.95983e-5     1576.07   0.0308883   0.0014271   -5725.55171643    -23.70975798    -5725.5517    -23.7098
      pa         0.886310     1.03148    0.914214     0.89118   -6162.31325437      0.61153528    -6162.3133     -0.6115
      mat       0.0132166     10.1508    0.134159    0.048561   -6449.83771788    -13.69608971    -6449.8377    -13.6961
      fmu      3.23607e-6     90.5252 0.000292946   5.3998e-5   -5763.37841421    -55.47030127    -5763.3784    -55.4703

bi    phl       0.0600887     1.85548    0.111493     0.27976   -6466.10977306    -14.95788512    -6466.1098    -14.9579
      annm       0.113558     1.43963    0.163481     0.49201   -5475.27684521    -12.34831621    -5475.2768    -12.3483
      obi        0.119730     1.41856    0.169843    0.065435   -6137.83213044    -12.08799823    -6137.8321    -12.0880
      east     0.00490907     3.58050   0.0175769    0.077829   -6576.66808271    -27.55383357    -6576.6681    -27.5538
      tbi     0.000128279     32.9939  0.00423241    0.079679   -6415.78564256    -37.26180533    -6415.7856    -37.2618
      fbi     0.000157403     2.97267 0.000467907   0.0024955   -6167.23053721    -52.27743067    -6167.2305    -52.2774
      mmbi     1.82157e-8     1.91046  3.48004e-8   0.0027869   -5825.27357316   -117.09473020    -5825.2736   -117.0947

ab                                                             -4085.1736
q                                                               -939.6303
H2O                                                             -344.8217
sph                                                            -2700.1683

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

g ep mu pa bi ab q H2O sph  {9.8400, 549.418}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89473   0.34918   0.09843   0.00395
ep        f(ep)     Q(ep)
        0.01611   0.01556
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.42230   0.86833   0.00035   0.18315   0.00752
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.42230   0.99648   0.00006   0.89389   0.04697
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.54269   0.00256   0.07645   0.00249   0.08035   0.15661

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05815   0.49424   0.09843   0.34918   0.99605   0.00395
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00055   0.99945   0.03168   0.96832
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.80933   0.18315   0.00752   0.07607   0.05560   0.86833   0.99965   0.00035   0.56207   0.43793
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05915   0.89389   0.04697   0.00204   0.00149   0.99648   0.99994   0.00006   0.47828   0.52172
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.28167   0.00256   0.55648   0.00249   0.08035   0.07645   0.50695   0.00256   0.49049   0.46053   0.53947   0.91965   0.08035

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    0.996055    1.047540    0.174451    1.490620           0           0           0    0.295280    0.003945
ep        0.500000           3    1.483886           2           0    0.032228           0           0           0           0    0.016114
mu        1.000000    3.124148    1.371914    0.007524    0.076068    0.055956    0.404663    0.091574           0           0    0.000176
pa               1    2.956555    1.519932    0.046969    0.002036    0.001544    0.029573    0.446943           0           0    0.000028
bi        0.919650    2.921057    0.577696           0    1.295561    1.539947    0.500000           0    0.080350    0.007692    0.001246
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00815980  0.00952436  0.07197947  0.13820544  0.12240407              0.19995122  0.44461031  0.00516532

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13994941  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6122.8244  -5496.2877      0.7617    11.98873     3.96777
ep            -7124.3236  -6513.8775      0.7421    13.72519     3.31710
mu            -6162.0416  -5569.9673      0.7198    13.97186     2.84071
pa            -6177.3203  -5602.6584      0.6986    13.32159     2.88203
bi            -5975.8560  -5279.0854      0.8471    15.19197     3.07996
ab            -4084.1549  -3693.8270      0.4745    10.03973     2.61172
q              -939.3821   -857.0342      0.1001     2.26951     2.64727
H2O            -344.7420   -238.0199      0.1297     1.83951     0.97934
sph           -2699.6897  -2455.0164      0.2975     5.56719     3.52135

sys           -661.08670  -564.20022     0.11779     2.01424     2.07909

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000195084     4.26090 0.000831235    0.054205   -6512.69892814    -48.50743624    -6512.6989    -48.5074
      alm        0.119781     1.14923    0.137656     0.49424   -5554.47352803    -13.56205825    -5554.4735    -13.5621
      spss    0.000946026    0.978154 0.000925360    0.098427   -5977.05704956    -47.77379847    -5977.0570    -47.7738
      gr        0.0422391     1.20651   0.0509619     0.34918   -6851.04749496    -20.35797664    -6851.0475    -20.3580
      kho      3.06092e-9     1.59750  4.88982e-9   0.0039455   -5660.86147150   -130.87498244    -5660.8615   -130.8750

ep    cz         0.967790     1.00015    0.967934     0.96832   -7136.49986718      0.22289675    -7136.4999     -0.2229
      ep        0.0316607     1.14685   0.0363100    0.031128   -6729.31156293    -22.67635013    -6729.3116    -22.6764
      fep      1.74137e-5     1.52906  2.66266e-5  0.00054971   -6295.21208931    -72.04099791    -6295.2121    -72.0410

mu    mu         0.691686    0.960545    0.664396     0.67730   -6199.50547925     -2.79637513    -6199.5055     -2.7964
      cel       0.0194428     2.25571   0.0438574    0.076068   -6057.53360730    -21.38477673    -6057.5336    -21.3848
      fcel      0.0142125     2.25571   0.0320594    0.055605   -5724.33367715    -23.52785348    -5724.3337    -23.5279
      pa         0.156527     5.85144    0.915908     0.18315   -6161.13567983      0.60074471    -6161.1357     -0.6007
      mat      0.00125254     103.549    0.129699   0.0075242   -6448.68950846    -13.96925750    -6448.6895    -13.9693
      fmu     0.000242951     1.23430 0.000299875  0.00035112   -5762.08675094    -55.48028145    -5762.0868    -55.4803

pa    mu        0.0588227     11.2943    0.664362    0.055565   -6199.50547925     -2.79672262    -6199.5055     -2.7967
      cel      2.75445e-5     1591.99   0.0438504   0.0020360   -6057.53360730    -21.38586648    -6057.5336    -21.3859
      fcel     2.01348e-5     1591.99   0.0320543   0.0014883   -5724.33367715    -23.52894323    -5724.3337    -23.5289
      pa         0.889004     1.03030    0.915943     0.89389   -6161.13567983      0.60048773    -6161.1357     -0.6005
      mat       0.0127389     10.1819    0.129706    0.046969   -6448.68950846    -13.96887073    -6448.6895    -13.9689
      fmu      3.30310e-6     90.7764 0.000299844   5.6150e-5   -5762.08675094    -55.48099511    -5762.0868    -55.4810

bi    phl       0.0608404     1.84651    0.112343     0.28167   -6464.73150101    -14.95179105    -6464.7315    -14.9518
      annm       0.112521     1.44184    0.162238     0.49049   -5474.07435246    -12.43833825    -5474.0744    -12.4383
      obi        0.120199     1.41530    0.170118    0.065988   -6136.51245150    -12.11394294    -6136.5125    -12.1139
      east     0.00483597     3.57469   0.0172871    0.076450   -6575.31509110    -27.75193312    -6575.3151    -27.7519
      tbi     0.000132484     32.4116  0.00429403    0.080350   -6414.42545057    -37.27706057    -6414.4255    -37.2771
      fbi     0.000157691     2.96800 0.000468027   0.0024929   -6165.89636278    -52.43575688    -6165.8964    -52.4358
      mmbi     1.41673e-8     1.90828  2.70351e-8   0.0025640   -5824.12789234   -119.18013328    -5824.1279   -119.1801

ab                                                             -4084.1549
q                                                               -939.3821
H2O                                                             -344.7420
sph                                                            -2699.6897

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

g ep mu pa bi ab q H2O sph  {10.0600, 551.674}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89394   0.35208   0.08981   0.00410
ep        f(ep)     Q(ep)
        0.01642   0.01585
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.42209   0.86296   0.00037   0.18039   0.00736
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.42209   0.99633   0.00006   0.89679   0.04526
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.54079   0.00235   0.07491   0.00249   0.08090   0.15625

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05919   0.49892   0.08981   0.35208   0.99590   0.00410
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00056   0.99944   0.03227   0.96773
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.81225   0.18039   0.00736   0.07920   0.05784   0.86296   0.99963   0.00037   0.56484   0.43516
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05795   0.89679   0.04526   0.00212   0.00155   0.99633   0.99994   0.00006   0.47920   0.52080
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.28382   0.00235   0.55552   0.00249   0.08090   0.07491   0.50894   0.00235   0.48870   0.46130   0.53870   0.91910   0.08090

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    0.995899    1.056226    0.177581    1.504958           0           0           0    0.269438    0.004101
ep        0.500000           3    1.483582           2           0    0.032837           0           0           0           0    0.016418
mu               1    3.129678    1.366459    0.007362    0.079196    0.058209    0.406125    0.090194           0           0    0.000183
pa               1    2.958407    1.518933    0.045261    0.002120    0.001606    0.028975    0.448395           0           0    0.000029
bi        0.919099    2.922596    0.576158           0    1.301705    1.535422    0.500000           0    0.080901    0.007060    0.001246
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.00922979  0.00899239  0.07316706  0.13774052  0.12137588              0.19964182  0.44468165  0.00517090

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13995647  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6122.6513  -5493.7815      0.7624    11.98847     3.96616
ep            -7122.7454  -6509.5348      0.7434    13.72372     3.31758
mu            -6159.2535  -5564.3176      0.7213    13.96972     2.84191
pa            -6175.3661  -5598.1957      0.6997    13.31638     2.88282
bi            -5975.8315  -5276.3080      0.8481    15.18620     3.08013
ab            -4083.0178  -3690.9549      0.4753    10.03648     2.61257
q              -939.1089   -856.3984      0.1003     2.26850     2.64844
H2O            -344.6307   -237.6281      0.1297     1.83243     0.98312
sph           -2699.1365  -2453.3740      0.2980     5.56623     3.52196

sys           -660.90980  -563.68258     0.11788     2.01031     2.08315

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000205711     4.26684 0.000877738    0.055092   -6511.73275770    -48.26714054    -6511.7328    -48.2671
      alm        0.123174     1.14735    0.141323     0.49892   -5553.66988256    -13.41893981    -5553.6699    -13.4189
      spss    0.000718525    0.978007 0.000702722    0.089813   -5976.16013312    -49.79225023    -5976.1601    -49.7923
      gr        0.0432849     1.20741   0.0522627     0.35208   -6849.78833927    -20.24095929    -6849.7883    -20.2410
      kho      3.48903e-9     1.56062  5.44506e-9   0.0041015   -5659.91313428   -130.49629249    -5659.9131   -130.4963

ep    cz         0.967181     1.00015    0.967331     0.96773   -7135.15306118      0.22778326    -7135.1531     -0.2278
      ep        0.0322540     1.14623   0.0369703    0.031708   -6727.97077557    -22.61493943    -6727.9708    -22.6149
      fep      1.82208e-5     1.52689  2.78210e-5  0.00056460   -6293.85298320    -71.93762737    -6293.8530    -71.9376

mu    mu         0.688900    0.958204    0.660107     0.67484   -6198.01751015     -2.84845605    -6198.0175     -2.8485
      cel       0.0205156     2.22093   0.0455637    0.079196   -6056.05173545    -21.18166024    -6056.0517    -21.1817
      fcel      0.0149841     2.22093   0.0332785    0.057843   -5722.92669537    -23.33641449    -5722.9267    -23.3364
      pa         0.152995     5.99874    0.917776     0.18039   -6159.78484943      0.58842331    -6159.7848     -0.5884
      mat      0.00120255     104.042    0.125116   0.0073616   -6447.36998104    -14.25429419    -6447.3700    -14.2543
      fmu     0.000252084     1.21931 0.000307368  0.00036579   -5760.60769845    -55.46316553    -5760.6077    -55.4632

pa    mu        0.0576340     11.4528    0.660074    0.054224   -6198.01751015     -2.84880578    -6198.0175     -2.8488
      cel      2.82042e-5     1615.24   0.0455565   0.0021196   -6056.05173545    -21.18275498    -6056.0517    -21.1828
      fcel     2.05996e-5     1615.24   0.0332732   0.0015481   -5722.92669537    -23.33750923    -5722.9267    -23.3375
      pa         0.891903     1.02905    0.917811     0.89679   -6159.78484943      0.58816194    -6159.7848     -0.5882
      mat       0.0122302     10.2306    0.125123    0.045261   -6447.36998104    -14.25390751    -6447.3700    -14.2539
      fmu      3.36622e-6     91.3002 0.000307336   5.8403e-5   -5760.60769845    -55.46388222    -5760.6077    -55.4639

bi    phl       0.0617298     1.83696    0.113395     0.28382   -6463.16119989    -14.92884773    -6463.1612    -14.9288
      annm       0.111406     1.44470    0.160948     0.48870   -5472.65196432    -12.52718590    -5472.6520    -12.5272
      obi        0.120825     1.41186    0.170588    0.066820   -6134.99145470    -12.12826333    -6134.9915    -12.1283
      east     0.00475673     3.56986   0.0169809    0.074911   -6573.77228270    -27.95059551    -6573.7723    -27.9506
      tbi     0.000136330     31.8914  0.00434775    0.080901   -6412.88454148    -37.29402618    -6412.8845    -37.2940
      fbi     0.000158251     2.96369 0.000469006   0.0024922   -6164.36247100    -52.56522417    -6164.3625    -52.5652
      mmbi     1.09448e-8     1.90662  2.08675e-8   0.0023534   -5822.76000685   -121.28277702    -5822.7600   -121.2828

ab                                                             -4083.0178
q                                                               -939.1089
H2O                                                             -344.6307
sph                                                            -2699.1365

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

g ep mu pa bi ab q H2O sph  {10.5000, 555.405}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89241   0.35869   0.07451   0.00448
ep        f(ep)     Q(ep)
        0.01724   0.01664
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.42079   0.85123   0.00040   0.17438   0.00696
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.42079   0.99605   0.00006   0.90313   0.04156
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.53624   0.00197   0.07138   0.00250   0.08163   0.15587

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06098   0.50582   0.07451   0.35869   0.99552   0.00448
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00060   0.99940   0.03388   0.96612
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.81866   0.17438   0.00696   0.08617   0.06260   0.85123   0.99960   0.00040   0.57090   0.42910
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05531   0.90313   0.04156   0.00229   0.00166   0.99605   0.99994   0.00006   0.48120   0.51880
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.28892   0.00197   0.55359   0.00250   0.08163   0.07138   0.51374   0.00197   0.48428   0.46306   0.53694   0.91837   0.08163

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    0.995522    1.076059    0.182945    1.526427           0           0           0    0.223525    0.004478
ep        0.500000    3.000000    1.482761           2           0    0.034478           0           0           0           0    0.017239
mu        1.000000    3.141808    1.354510    0.006965    0.086170    0.063002    0.409328    0.087190           0           0    0.000200
pa        1.000000    2.962393    1.516795    0.041559    0.002289    0.001726    0.027657    0.451563           0           0    0.000032
bi        0.918367    2.926116    0.572634           0    1.316410    1.524651    0.500000           0    0.081633    0.005922    0.001250
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.01174967  0.00764123  0.07590824  0.13673159  0.11898235              0.19893773  0.44483947  0.00520971

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13996585  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6123.2648  -5490.7527      0.7634    11.98917     3.96244
ep            -7118.8536  -6501.0576      0.7456    13.72059     3.31868
mu            -6152.9005  -5553.1500      0.7239    13.96554     2.84441
pa            -6170.8248  -5589.5777      0.7015    13.30528     2.88448
bi            -5975.6276  -5271.7095      0.8496    15.17424     3.08015
ab            -4080.3789  -3685.4648      0.4766    10.02974     2.61432
q              -938.4858   -855.1823      0.1005     2.26640     2.65090
H2O            -344.3114   -236.8901      0.1296     1.81824     0.99079
sph           -2697.8009  -2450.2408      0.2988     5.56423     3.52322

sys           -660.46697  -562.69974     0.11800     2.00232     2.09146

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000224749     4.29423 0.000965124    0.056503   -6509.27181190    -47.83162245    -6509.2718    -47.8316
      alm        0.128262     1.14524    0.146891     0.50582   -5551.46332855    -13.21341950    -5551.4633    -13.2134
      spss    0.000409939    0.977827 0.000400849    0.074508   -5973.77820061    -53.88473435    -5973.7782    -53.8847
      gr        0.0457348     1.20675   0.0551904     0.35869   -6846.74994769    -19.95701579    -6846.7499    -19.9570
      kho      4.54786e-9     1.48873  6.77055e-9   0.0044782   -5657.42728128   -129.58557102    -5657.4273   -129.5856

ep    cz         0.965543     1.00017    0.965707     0.96612   -7131.88858072      0.24039111    -7131.8886     -0.2404
      ep        0.0338562     1.14500   0.0387654    0.033276   -6724.69318023    -22.39061114    -6724.6932    -22.3906
      fep      2.03591e-5     1.52291  3.10051e-5  0.00060098   -6290.52214181    -71.51649404    -6290.5221    -71.5165

mu    mu         0.682576    0.953562    0.650878     0.66948   -6194.49497392     -2.95833296    -6194.4950     -2.9583
      cel       0.0229831     2.14930   0.0493977    0.086170   -6052.54107577    -20.72088926    -6052.5411    -20.7209
      fcel      0.0166973     2.14930   0.0358875    0.062603   -5719.53112930    -22.92201355    -5719.5311    -22.9220
      pa         0.145393     6.34063    0.921884     0.17438   -6156.54962681      0.56031763    -6156.5496     -0.5603
      mat      0.00109115     105.957    0.115615   0.0069647   -6444.20315692    -14.86282207    -6444.2032    -14.8628
      fmu     0.000273100     1.18906 0.000324732  0.00039994   -5757.07270861    -55.33544148    -5757.0727    -55.3354

pa    mu        0.0550142     11.8305    0.650845    0.051299   -6194.49497392     -2.95868782    -6194.4950     -2.9587
      cel      2.93187e-5     1684.58   0.0493898   0.0022892   -6052.54107577    -20.72199653    -6052.5411    -20.7220
      fcel     2.13001e-5     1684.58   0.0358817   0.0016631   -5719.53112930    -22.92312082    -5719.5311    -22.9231
      pa         0.898228     1.02638    0.921920     0.90313   -6156.54962681      0.56004649    -6156.5496     -0.5600
      mat       0.0111410     10.3780    0.115621    0.041559   -6444.20315692    -14.86243483    -6444.2032    -14.8624
      fmu      3.48528e-6     93.1625 0.000324698   6.3348e-5   -5757.07270861    -55.33616579    -5757.0727    -55.3362

bi    phl       0.0639632     1.81595    0.116154     0.28892   -6459.42955782    -14.83078133    -6459.4296    -14.8308
      annm       0.108903     1.45255    0.158186     0.48428   -5469.13077302    -12.70306248    -5469.1308    -12.7031
      obi        0.122556     1.40442    0.172120    0.069305   -6131.32996289    -12.12151136    -6131.3300    -12.1215
      east     0.00458126     3.56281   0.0163222    0.071384   -6570.10237624    -28.34956143    -6570.1024    -28.3496
      tbi     0.000142793     31.0289  0.00443069    0.081633   -6409.24650925    -37.33250923    -6409.2465    -37.3325
      fbi     0.000160442     2.95580 0.000474234   0.0025000   -6160.68011093    -52.72659273    -6160.6801    -52.7266
      mmbi     6.45099e-9     1.90489  1.22885e-8   0.0019739   -5819.34085943   -125.47923434    -5819.3409   -125.4792

ab                                                             -4080.3789
q                                                               -938.4858
H2O                                                             -344.3114
sph                                                            -2697.8009

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

g ep mu pa bi ab q H2O sph  {10.7200, 556.890}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89166   0.36241   0.06782   0.00471
ep        f(ep)     Q(ep)
        0.01778   0.01715
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41970   0.84483   0.00042   0.17115   0.00674
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41970   0.99591   0.00007   0.90650   0.03961
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.53358   0.00181   0.06942   0.00251   0.08182   0.15586

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06173   0.50804   0.06782   0.36241   0.99529   0.00471
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00062   0.99938   0.03493   0.96507
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.82212   0.17115   0.00674   0.09005   0.06512   0.84483   0.99958   0.00042   0.57422   0.42578
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05389   0.90650   0.03961   0.00238   0.00172   0.99591   0.99993   0.00007   0.48224   0.51776
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.29189   0.00181   0.55256   0.00251   0.08182   0.06942   0.51657   0.00181   0.48163   0.46403   0.53597   0.91818   0.08182

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    0.995292    1.087239    0.185176    1.533525           0           0           0    0.203475    0.004708
ep        0.500000           3    1.482222           2           0    0.035556           0           0           0           0    0.017778
mu               1    3.148433    1.347989    0.006736    0.090045    0.065544    0.411058    0.085574           0           0    0.000210
pa               1    2.964485    1.515677    0.039610    0.002376    0.001785    0.026944    0.453251           0           0    0.000033
bi        0.918185    2.928066    0.570679           0    1.325027    1.518316    0.500000           0    0.081815    0.005418    0.001255
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.01321060  0.00680422  0.07745991  0.13620025  0.11761324              0.19854284  0.44492622  0.00524272

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13996820  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6124.0725  -5490.2340      0.7636    11.99016     3.96032
ep            -7116.5279  -6496.8979      0.7465    13.71895     3.31931
mu            -6149.3373  -5547.6237      0.7249    13.96349     2.84570
pa            -6168.2570  -5585.4300      0.7022    13.29940     2.88536
bi            -5975.4879  -5269.9179      0.8500    15.16804     3.08000
ab            -4078.8809  -3682.8424      0.4771    10.02626     2.61523
q              -938.1367   -854.6013      0.1006     2.26531     2.65217
H2O            -344.1046   -236.5417      0.1296     1.81111     0.99469
sph           -2697.0208  -2448.7481      0.2991     5.56319     3.52388

sys           -660.20216  -562.23305     0.11803     1.99825     2.09572

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000232967     4.31570  0.00100542    0.057018   -6507.78255732    -47.63509398    -6507.7826    -47.6351
      alm        0.129893     1.14503    0.148732     0.50804   -5550.06678513    -13.15115031    -5550.0668    -13.1512
      spss    0.000309079    0.977821 0.000302223    0.067825   -5972.29945365    -55.93036314    -5972.2995    -55.9304
      gr        0.0471534     1.20516   0.0568276     0.36241   -6844.97611991    -19.79103931    -6844.9761    -19.7910
      kho      5.21208e-9     1.45366  7.57658e-9   0.0047077   -5655.89607637   -129.04157852    -5655.8961   -129.0416

ep    cz         0.964466     1.00018    0.964640     0.96507   -7129.97692194      0.24845100    -7129.9769     -0.2485
      ep        0.0349107     1.14438   0.0399511    0.034309   -6722.76267176    -22.22281585    -6722.7627    -22.2228
      fep      2.17760e-5     1.52107  3.31228e-5  0.00062337   -6288.55691134    -71.18871586    -6288.5569    -71.1887

mu    mu         0.678961    0.951308    0.645901     0.66653   -6192.46619903     -3.01661481    -6192.4662     -3.0166
      cel       0.0243984     2.11271   0.0515469    0.090045   -6050.51808178    -20.46411942    -6050.5181    -20.4641
      fcel      0.0176459     2.11271   0.0372806    0.065124   -5717.54878076    -22.70025537    -5717.5488    -22.7003
      pa         0.141346     6.53778    0.924088     0.17115   -6154.67088668      0.54484041    -6154.6709     -0.5448
      mat      0.00103133     107.382    0.110746   0.0067365   -6442.36134403    -15.18635347    -6442.3613    -15.1864
      fmu     0.000285370     1.17388 0.000334990  0.00042013   -5755.02295855    -55.21999178    -5755.0230    -55.2200

pa    mu        0.0535971     12.0504    0.645867    0.049728   -6192.46619903     -3.01697255    -6192.4662     -3.0170
      cel      2.97783e-5     1730.74   0.0515386   0.0023763   -6050.51808178    -20.46523408    -6050.5181    -20.4652
      fcel     2.15368e-5     1730.74   0.0372746   0.0017186   -5717.54878076    -22.70137003    -5717.5488    -22.7014
      pa         0.901591     1.02499    0.924125     0.90650   -6154.67088668      0.54456388    -6154.6709     -0.5446
      mat       0.0105741     10.4739    0.110753    0.039610   -6442.36134403    -15.18596558    -6442.3613    -15.1860
      fmu      3.54512e-6     94.4833 0.000334954   6.6140e-5   -5755.02295855    -55.22072062    -5755.0230    -55.2207

bi    phl       0.0653254     1.80445    0.117876     0.29189   -6457.27460674    -14.75577516    -6457.2746    -14.7558
      annm       0.107498     1.45761    0.156690     0.48163   -5467.03941677    -12.79143442    -5467.0394    -12.7914
      obi        0.123663     1.40040    0.173178    0.070930   -6129.19621008    -12.10096460    -6129.1962    -12.1010
      east     0.00448639     3.56029   0.0159728    0.069423   -6567.98157062    -28.54967887    -6567.9816    -28.5497
      tbi     0.000145381     30.6801  0.00446031    0.081815   -6407.15538862    -37.35343815    -6407.1554    -37.3534
      fbi     0.000162240     2.95203 0.000478938   0.0025105   -6158.53833014    -52.75298046    -6158.5383    -52.7530
      mmbi     4.94035e-9     1.90482  9.41050e-9   0.0018060   -5817.29717006   -127.54563323    -5817.2972   -127.5456

ab                                                             -4078.8809
q                                                               -938.1367
H2O                                                             -344.1046
sph                                                            -2697.0208

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

g ep mu pa bi ab q H2O sph  {10.9400, 558.139}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89092   0.36641   0.06176   0.00497
ep        f(ep)     Q(ep)
        0.01842   0.01777
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41830   0.83807   0.00044   0.16779   0.00649
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41830   0.99576   0.00007   0.90996   0.03763
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.53064   0.00165   0.06736   0.00253   0.08188   0.15594

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06238   0.50945   0.06176   0.36641   0.99503   0.00497
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00065   0.99935   0.03620   0.96380
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.82572   0.16779   0.00649   0.09419   0.06774   0.83807   0.99956   0.00044   0.57772   0.42228
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05241   0.90996   0.03763   0.00247   0.00177   0.99576   0.99993   0.00007   0.48330   0.51670
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.29514   0.00165   0.55144   0.00253   0.08188   0.06736   0.51969   0.00165   0.47866   0.46506   0.53494   0.91812   0.08188

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    0.995028    1.099245    0.187128    1.538288           0           0           0    0.185283    0.004972
ep        0.500000           3    1.481577           2           0    0.036846           0           0           0           0    0.018423
mu               1    3.155436    1.341096    0.006494    0.094194    0.068178    0.412859    0.083894           0           0    0.000222
pa               1    2.966610    1.514541    0.037629    0.002466    0.001842    0.026203    0.454982           0           0    0.000035
bi        0.918116    2.930116    0.568620           0    1.334515    1.511287    0.500000           0    0.081884    0.004958    0.001264
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.01481173  0.00584796  0.07912902  0.13566003  0.11612872              0.19811985  0.44501842  0.00528427

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13996907  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6125.2123  -5490.3516      0.7637    11.99156     3.95803
ep            -7113.9461  -6492.7646      0.7473    13.71728     3.31998
mu            -6145.5283  -5542.1278      0.7259    13.96147     2.84702
pa            -6165.5134  -5581.3905      0.7027    13.29332     2.88628
bi            -5975.3610  -5268.4805      0.8503    15.16169     3.07972
ab            -4077.2719  -3680.2965      0.4775    10.02270     2.61616
q              -937.7643   -854.0371      0.1007     2.26420     2.65348
H2O            -343.8688   -236.2111      0.1295     1.80399     0.99862
sph           -2696.1709  -2447.3013      0.2994     5.56213     3.52455

sys           -659.91048  -561.78399     0.11804     1.99413     2.10004

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000240282     4.34218  0.00104335    0.057404   -6506.13230907    -47.45083861    -6506.1323    -47.4508
      alm        0.130909     1.14538    0.149941     0.50945   -5548.48784004    -13.11498781    -5548.4878    -13.1150
      spss    0.000233246    0.977894 0.000228090    0.061761   -5970.64173110    -57.95969083    -5970.6417    -57.9597
      gr        0.0487069     1.20277   0.0585831     0.36641   -6843.04387163    -19.61055140    -6843.0439    -19.6106
      kho      5.99967e-9     1.41915  8.51443e-9   0.0049721   -5654.18560512   -128.42923432    -5654.1856   -128.4292

ep    cz         0.963178     1.00019    0.963364     0.96380   -7127.89146779      0.25797205    -7127.8915     -0.2580
      ep        0.0361727     1.14374   0.0413723    0.035547   -6720.65072741    -22.01467359    -6720.6507    -22.0147
      fep      2.35041e-5     1.51928  3.57095e-5  0.00064935   -6286.40521855    -70.77616853    -6286.4052    -70.7762

mu    mu         0.674992    0.949137    0.640660     0.66335   -6190.27109732     -3.07746759    -6190.2711     -3.0775
      cel       0.0259474     2.07585   0.0538629    0.094194   -6048.32864297    -20.19115570    -6048.3286    -20.1912
      fcel      0.0186589     2.07585   0.0387331    0.067735   -5715.38950988    -22.47025605    -5715.3895    -22.4703
      pa         0.137160     6.75386    0.926362     0.16779   -6152.62978206      0.52867765    -6152.6298     -0.5287
      mat     0.000970028     109.113    0.105843   0.0064937   -6440.35877743    -15.52224139    -6440.3588    -15.5222
      fmu     0.000299155     1.15874 0.000346641  0.00044300   -5752.79774534    -55.06680068    -5752.7977    -55.0668

pa    mu        0.0521222     12.2909    0.640626    0.048098   -6190.27109732     -3.07782839    -6190.2711     -3.0778
      cel      3.01813e-5     1784.36   0.0538542   0.0024657   -6048.32864297    -20.19227840    -6048.3286    -20.1923
      fcel     2.17035e-5     1784.36   0.0387268   0.0017731   -5715.38950988    -22.47137875    -5715.3895    -22.4714
      pa         0.905035     1.02361    0.926399     0.90996   -6152.62978206      0.52839541    -6152.6298     -0.5284
      mat       0.0100027     10.5820    0.105849    0.037629   -6440.35877743    -15.52185259    -6440.3588    -15.5219
      fmu      3.60891e-6     96.0414 0.000346605   6.9235e-5   -5752.79774534    -55.06753443    -5752.7977    -55.0675

bi    phl       0.0668625     1.79227    0.119835     0.29514   -6454.93994456    -14.66405664    -6454.9399    -14.6641
      annm       0.105979     1.46346    0.155096     0.47866   -5464.74252691    -12.88134236    -5464.7425    -12.8813
      obi        0.124926     1.39619    0.174420    0.072779   -6126.87413868    -12.06978826    -6126.8741    -12.0698
      east     0.00438804     3.55818   0.0156134    0.067356   -6565.68307747    -28.74994321    -6565.6831    -28.7499
      tbi     0.000147555     30.3807  0.00448283    0.081884   -6404.89512245    -37.37486010    -6404.8951    -37.3749
      fbi     0.000164656     2.94821 0.000485439   0.0025275   -6156.20972550    -52.73920278    -6156.2097    -52.7392
      mmbi     3.78532e-9     1.90527  7.21204e-9   0.0016525   -5815.04588213   -129.57665138    -5815.0459   -129.5767

ab                                                             -4077.2719
q                                                               -937.7643
H2O                                                             -343.8688
sph                                                            -2696.1709

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

g ep mu pa bi ab q H2O sph  {11.1600, 559.173}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89016   0.37068   0.05628   0.00528
ep        f(ep)     Q(ep)
        0.01919   0.01851
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41661   0.83095   0.00047   0.16433   0.00624
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41661   0.99561   0.00007   0.91348   0.03564
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.52742   0.00151   0.06521   0.00255   0.08185   0.15612

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06294   0.51010   0.05628   0.37068   0.99472   0.00528
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00068   0.99932   0.03771   0.96229
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.82943   0.16433   0.00624   0.09862   0.07043   0.83095   0.99953   0.00047   0.58141   0.41859
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05088   0.91348   0.03564   0.00256   0.00183   0.99561   0.99993   0.00007   0.48437   0.51563
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.29868   0.00151   0.55020   0.00255   0.08185   0.06521   0.52311   0.00151   0.47538   0.46612   0.53388   0.91815   0.08185

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    0.994721    1.112039    0.188828    1.540851           0           0           0    0.168840    0.005279
ep        0.500000    3.000000    1.480807           2           0    0.038386           0           0           0           0    0.019193
mu               1    3.162811    1.333834    0.006241    0.098622    0.070898    0.414717    0.082163           0           0    0.000235
pa               1    2.968743    1.513400    0.035643    0.002558    0.001900    0.025439    0.456739           0           0    0.000036
bi        0.918152    2.932240    0.566483           0    1.344896    1.503511    0.500000           0    0.081848    0.004538    0.001276
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.01655760  0.00476375  0.08091279  0.13511728  0.11452912              0.19766935  0.44511630  0.00533380

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13996861  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6126.6717  -5491.0649      0.7637    11.99337     3.95557
ep            -7111.1073  -6488.6305      0.7479    13.71561     3.32071
mu            -6141.4897  -5536.6554      0.7267    13.95945     2.84836
pa            -6162.6159  -5577.4562      0.7030    13.28705     2.88723
bi            -5975.2835  -5267.4084      0.8505    15.15518     3.07931
ab            -4075.5614  -3677.8205      0.4779    10.01909     2.61710
q              -937.3704   -853.4883      0.1008     2.26306     2.65481
H2O            -343.6066   -235.8886      0.1294     1.79687     1.00258
sph           -2695.2571  -2445.8963      0.2996     5.56105     3.52523

sys           -659.59430  -561.34721     0.11804     1.98998     2.10442

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000246739     4.37342  0.00107909    0.057664   -6504.33456115    -47.27675597    -6504.3346    -47.2768
      alm        0.131330     1.14628    0.150540     0.51010   -5546.74180043    -13.10370966    -5546.7418    -13.1037
      spss    0.000176388    0.978071 0.000172520    0.056280   -5968.82006295    -59.96413326    -5968.8201    -59.9641
      gr        0.0503963     1.19960   0.0604552     0.37068   -6840.96647946    -19.41726215    -6840.9665    -19.4173
      kho      6.94883e-9     1.38523  9.62571e-9   0.0052788   -5652.31093526   -127.74006760    -5652.3109   -127.7401

ep    cz         0.961639     1.00021    0.961840     0.96229   -7125.64681496      0.26924524    -7125.6468     -0.2692
      ep        0.0376811     1.14307   0.0430720    0.037027   -6718.37258457    -21.76343628    -6718.3726    -21.7634
      fep      2.56294e-5     1.51750  3.88927e-5  0.00067970   -6284.08272537    -70.27328105    -6284.0827    -70.2733

mu    mu         0.670633    0.947080    0.635143     0.65991   -6187.92371044     -3.14114851    -6187.9237     -3.1411
      cel       0.0276383     2.03895   0.0563531    0.098622   -6045.98678211    -19.90351535    -6045.9868    -19.9035
      fcel      0.0197373     2.03895   0.0402432    0.070429   -5713.06823592    -22.23353342    -5713.0682    -22.2335
      pa         0.132864     6.98969    0.928678     0.16433   -6150.44001578      0.51204991    -6150.4400     -0.5120
      mat     0.000908242     111.137    0.100939   0.0062408   -6438.20894830    -15.86980270    -6438.2089    -15.8698
      fmu     0.000314800     1.14370 0.000360036  0.00046919   -5750.41189750    -54.87294015    -5750.4119    -54.8729

pa    mu        0.0506022     12.5510    0.635109    0.046420   -6187.92371044     -3.14151253    -6187.9237     -3.1415
      cel      3.05371e-5     1845.10   0.0563439   0.0025584   -6045.98678211    -19.90464663    -6045.9868    -19.9046
      fcel     2.18073e-5     1845.10   0.0402367   0.0018270   -5713.06823592    -22.23466470    -5713.0682    -22.2347
      pa         0.908518     1.02223    0.928717     0.91348   -6150.44001578      0.51176164    -6150.4400     -0.5118
      mat      0.00943422     10.6999    0.100945    0.035643   -6438.20894830    -15.86941271    -6438.2089    -15.8694
      fmu      3.68046e-6     97.8132 0.000359997   7.2728e-5   -5750.41189750    -54.87367915    -5750.4119    -54.8737

bi    phl       0.0685833     1.77939    0.122036     0.29868   -6452.44077305    -14.55633963    -6452.4408    -14.5563
      annm       0.104335     1.47015    0.153389     0.47538   -5462.25750697    -12.97398960    -5462.2575    -12.9740
      obi        0.126339     1.39178    0.175835    0.074824   -6124.37968436    -12.02885935    -6124.3797    -12.0289
      east     0.00428740     3.55626   0.0152471    0.065207   -6563.22191846    -28.95000724    -6563.2219    -28.9500
      tbi     0.000149349     30.1255  0.00449923    0.081848   -6402.47999948    -37.39609837    -6402.4800    -37.3961
      fbi     0.000167839     2.94419 0.000494151   0.0025527   -6153.71010551    -52.68172724    -6153.7101    -52.6817
      mmbi     2.90523e-9     1.90620  5.53796e-9   0.0015128   -5812.60458074   -131.56567154    -5812.6046   -131.5657

ab                                                             -4075.5614
q                                                               -937.3704
H2O                                                             -343.6066
sph                                                            -2695.2571

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

g ep mu pa bi ab q H2O sph  {11.3800, 560.016}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.88938   0.37519   0.05134   0.00564
ep        f(ep)     Q(ep)
        0.02011   0.01940
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41463   0.82347   0.00050   0.16079   0.00598
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41463   0.99546   0.00008   0.91700   0.03368
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.52390   0.00139   0.06300   0.00259   0.08172   0.15638

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06344   0.51004   0.05134   0.37519   0.99436   0.00564
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00072   0.99928   0.03951   0.96049
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.83323   0.16079   0.00598   0.10333   0.07319   0.82347   0.99950   0.00050   0.58527   0.41473
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04932   0.91700   0.03368   0.00266   0.00188   0.99546   0.99992   0.00008   0.48543   0.51457
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30251   0.00139   0.54880   0.00259   0.08172   0.06300   0.52684   0.00139   0.47177   0.46721   0.53279   0.91828   0.08172

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    0.994362    1.125561    0.190316    1.541386           0           0           0    0.154012    0.005638
ep        0.500000    3.000000    1.479885           2           0    0.040230           0           0           0           0    0.020115
mu               1    3.170546    1.326213    0.005983    0.103335    0.073694    0.416615    0.080393           0           0    0.000250
pa               1    2.970861    1.512263    0.033675    0.002655    0.001958    0.024660    0.458502           0           0    0.000038
bi        0.918282    2.934412    0.564294           0    1.356192    1.494933    0.500000           0    0.081718    0.004158    0.001294
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.01845330  0.00354273  0.08280906  0.13457745  0.11281472              0.19719195  0.44522019  0.00539061

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13996694  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6128.4301  -5492.3203      0.7635    11.99557     3.95297
ep            -7108.0093  -6484.4610      0.7484    13.71395     3.32150
mu            -6137.2424  -5531.1993      0.7274    13.95743     2.84973
pa            -6159.5887  -5573.6220      0.7033    13.28063     2.88821
bi            -5975.2983  -5266.7133      0.8505    15.14852     3.07876
ab            -4073.7605  -3675.4061      0.4781    10.01541     2.61806
q              -936.9577   -852.9531      0.1008     2.26191     2.65616
H2O            -343.3211   -235.5796      0.1293     1.78978     1.00655
sph           -2694.2864  -2444.5287      0.2998     5.55995     3.52593

sys           -659.25645  -560.92426     0.11802     1.98581     2.10884

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000252435     4.40908  0.00111301    0.057801   -6502.40562223    -47.11028389    -6502.4056    -47.1103
      alm        0.131188     1.14771    0.150565     0.51004   -5544.84715026    -13.11582195    -5544.8472    -13.1158
      spss    0.000133780    0.978384 0.000130888    0.051337   -5966.85259505    -61.93794344    -5966.8526    -61.9379
      gr        0.0522196     1.19569   0.0624386     0.37519   -6838.75999308    -19.21330406    -6838.7600    -19.2133
      kho      8.11443e-9     1.35192  1.09701e-8   0.0056377   -5650.29025330   -126.96382219    -5650.2903   -126.9638

ep    cz         0.959798     1.00023    0.960019     0.96049   -7123.26059761      0.28264953    -7123.2606     -0.2826
      ep        0.0394861     1.14233   0.0451062    0.038799   -6715.94664828    -21.46580393    -6715.9466    -21.4658
      fep      2.82705e-5     1.51569  4.28492e-5  0.00071545   -6281.60834484    -69.67333733    -6281.6083    -69.6733

mu    mu         0.665852    0.945166    0.629340     0.65620   -6185.44100041     -3.20790504    -6185.4410     -3.2079
      cel       0.0294789     2.00223   0.0590234     0.10333   -6043.50943690    -19.60296395    -6043.5094    -19.6030
      fcel      0.0208806     2.00223   0.0418077    0.073194   -5710.60296794    -21.99186288    -5710.6030    -21.9919
      pa         0.128488     7.24592    0.931013     0.16079   -6148.11814001      0.49517858    -6148.1181     -0.4952
      mat     0.000846912     113.439   0.0960728   0.0059825   -6435.92816754    -16.22817987    -6435.9282    -16.2282
      fmu     0.000332758     1.12884 0.000375629  0.00049950   -5747.88331594    -54.63481061    -5747.8833    -54.6348

pa    mu        0.0490507     12.8297    0.629307    0.044707   -6185.44100041     -3.20827242    -6185.4410     -3.2083
      cel      3.08568e-5     1912.50   0.0590136   0.0026553   -6043.50943690    -19.60410426    -6043.5094    -19.6041
      fcel     2.18566e-5     1912.50   0.0418008   0.0018808   -5710.60296794    -21.99300319    -5710.6030    -21.9930
      pa         0.912000     1.02089    0.931052     0.91700   -6148.11814001      0.49488400    -6148.1181     -0.4949
      mat      0.00887545     10.8252   0.0960783    0.033675   -6435.92816754    -16.22778843    -6435.9282    -16.2278
      fmu      3.76451e-6     99.7710 0.000375589   7.6741e-5   -5747.88331594    -54.63555509    -5747.8833    -54.6356

bi    phl       0.0704979     1.76581    0.124486     0.30251   -6449.79543543    -14.43343220    -6449.7954    -14.4334
      annm       0.102555     1.47771    0.151547     0.47177   -5459.60533634    -13.07079157    -5459.6053    -13.0708
      obi        0.127897     1.38716    0.177412    0.077032   -6121.73206907    -11.97918840    -6121.7321    -11.9792
      east     0.00418575     3.55429   0.0148774    0.063000   -6560.61622299    -29.14939906    -6560.6162    -29.1494
      tbi     0.000150814     29.9092  0.00451072    0.081718   -6399.92726250    -37.41629882    -6399.9273    -37.4163
      fbi     0.000171988     2.93982 0.000505613   0.0025886   -6151.05853853    -52.57623484    -6151.0585    -52.5762
      mmbi     2.23542e-9     1.90762  4.26433e-9   0.0013860   -5809.99445640   -133.50930674    -5809.9945   -133.5093

ab                                                             -4073.7605
q                                                               -936.9577
H2O                                                             -343.3211
sph                                                            -2694.2864

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

g ep mu pa bi ab q H2O sph  {11.6000, 560.695}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.88856   0.37991   0.04688   0.00606
ep        f(ep)     Q(ep)
        0.02122   0.02046
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41236   0.81565   0.00054   0.15720   0.00572
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41236   0.99531   0.00008   0.92051   0.03175
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.52006   0.00127   0.06076   0.00264   0.08151   0.15671

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06388   0.50932   0.04688   0.37991   0.99394   0.00606
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00076   0.99924   0.04169   0.95831
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.83707   0.15720   0.00572   0.10833   0.07602   0.81565   0.99946   0.00054   0.58931   0.41069
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04774   0.92051   0.03175   0.00276   0.00193   0.99531   0.99992   0.00008   0.48647   0.51353
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30663   0.00127   0.54719   0.00264   0.08151   0.06076   0.53090   0.00127   0.46783   0.46830   0.53170   0.91849   0.08151

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    0.993939    1.139736    0.191638    1.540095           0           0           0    0.140654    0.006061
ep        0.500000    3.000000    1.478778           2           0    0.042444           0           0           0           0    0.021222
mu               1    3.178625    1.318246    0.005723    0.108331    0.076553    0.418537    0.078601           0           0    0.000268
pa               1    2.972945    1.511141    0.031748    0.002757    0.002016    0.023872    0.460254           0           0    0.000041
bi        0.918492    2.936602    0.562079           0    1.368436    1.485483    0.500000           0    0.081508    0.003813    0.001319
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.02050461  0.00217584  0.08481667  0.13404482  0.11098540              0.19668816  0.44533052  0.00545397

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13996425  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6130.4590  -5494.0519      0.7632    11.99813     3.95022
ep            -7104.6451  -6480.2129      0.7489    13.71234     3.32236
mu            -6132.8109  -5525.7530      0.7280    13.95539     2.85111
pa            -6156.4572  -5569.8801      0.7035    13.27407     2.88923
bi            -5975.4535  -5266.4085      0.8503    15.14168     3.07806
ab            -4071.8821  -3673.0460      0.4783    10.01170     2.61904
q              -936.5286   -852.4296      0.1009     2.26074     2.65753
H2O            -343.0159   -235.2804      0.1292     1.78274     1.01052
sph           -2693.2668  -2443.1931      0.2999     5.55884     3.52664

sys           -658.90012  -560.51225     0.11799     1.98163     2.11330

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000257512     4.44876  0.00114561    0.057818   -6500.36384227    -46.94847763    -6500.3638    -46.9485
      alm        0.130527     1.14966    0.150063     0.50932   -5542.82467659    -13.14968630    -5542.8247    -13.1497
      spss    0.000101816    0.978872  9.96647e-5    0.046885   -5964.75973171    -63.87784918    -5964.7597    -63.8778
      gr        0.0541712     1.19111   0.0645237     0.37991   -6836.44247342    -19.00121695    -6836.4425    -19.0012
      kho      9.57671e-9     1.31929  1.26344e-8   0.0060613   -5648.14400531   -126.08791792    -5648.1440   -126.0879

ep    cz         0.957588     1.00026    0.957832     0.95831   -7120.75265201      0.29868818    -7120.7527     -0.2987
      ep        0.0416542     1.14152   0.0475490    0.040928   -6713.39361979    -21.11764510    -6713.3936    -21.1176
      fep      3.15961e-5     1.51376  4.78289e-5  0.00075796   -6279.00334641    -68.96786815    -6279.0033    -68.9679

mu    mu         0.660623    0.943424    0.623247     0.65219   -6182.84204562     -3.27796668    -6182.8420     -3.2780
      cel       0.0314756     1.96592   0.0618785     0.10833   -6040.91565726    -19.29142607    -6040.9157    -19.2914
      fcel      0.0220870     1.96592   0.0434213    0.076018   -5708.01395320    -21.74721947    -5708.0140    -21.7472
      pa         0.124065     7.52299    0.933340     0.15720   -6145.68277130      0.47827516    -6145.6828     -0.4783
      mat     0.000786885     115.998   0.0912771   0.0057229   -6433.53479123    -16.59640733    -6433.5348    -16.5964
      fmu     0.000353633     1.11422 0.000394026  0.00053502   -5745.23212714    -54.34782402    -5745.2321    -54.3478

pa    mu        0.0474813     13.1255    0.623214    0.042970   -6182.84204562     -3.27833752    -6182.8420     -3.2783
      cel      3.11525e-5     1985.98   0.0618682   0.0027574   -6040.91565726    -19.29257571    -6040.9157    -19.2926
      fcel     2.18603e-5     1985.98   0.0434141   0.0019349   -5708.01395320    -21.74836911    -5708.0140    -21.7484
      pa         0.915444     1.01959    0.933380     0.92051   -6145.68277130      0.47797401    -6145.6828     -0.4780
      mat      0.00833225     10.9553   0.0912823    0.031748   -6433.53479123    -16.59601420    -6433.5348    -16.5960
      fmu      3.86699e-6     101.884 0.000393983   8.1436e-5   -5745.23212714    -54.34857420    -5745.2321    -54.3486

bi    phl       0.0726182     1.75150    0.127190     0.30663   -6447.02454925    -14.29616461    -6447.0245    -14.2962
      annm       0.100626     1.48620    0.149551     0.46783   -5456.80958213    -13.17337242    -5456.8096    -13.1734
      obi        0.129591     1.38233    0.179137    0.079369   -6118.95289354    -11.92187029    -6118.9529    -11.9219
      east     0.00408442     3.55199   0.0145078    0.060760   -6557.88637065    -29.34752030    -6557.8864    -29.3475
      tbi     0.000152014     29.7261  0.00451877    0.081508   -6397.25629366    -37.43441759    -6397.2563    -37.4344
      fbi     0.000177361     2.93494 0.000520543   0.0026384   -6148.27645218    -52.41730977    -6148.2765    -52.4173
      mmbi     1.72533e-9     1.90950  3.29451e-9   0.0012710   -5807.23930820   -135.40693278    -5807.2393   -135.4069

ab                                                             -4071.8821
q                                                               -936.5286
H2O                                                             -343.0159
sph                                                            -2693.2668

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

g ep mu pa bi ab q H2O sph  {11.8200, 561.238}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.88768   0.38482   0.04287   0.00657
ep        f(ep)     Q(ep)
        0.02256   0.02175
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40980   0.80751   0.00058   0.15361   0.00547
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40980   0.99514   0.00009   0.92396   0.02988
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51589   0.00117   0.05851   0.00271   0.08123   0.15710

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06428   0.50802   0.04287   0.38482   0.99343   0.00657
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00081   0.99919   0.04431   0.95569
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.84093   0.15361   0.00547   0.11361   0.07888   0.80751   0.99942   0.00058   0.59351   0.40649
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04616   0.92396   0.02988   0.00287   0.00199   0.99514   0.99991   0.00009   0.48749   0.51251
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.31105   0.00117   0.54533   0.00271   0.08123   0.05851   0.53531   0.00117   0.46353   0.46939   0.53061   0.91877   0.08123

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    0.993433    1.154464    0.192847    1.537199           0           0           0    0.128624    0.006567
ep        0.500000           3    1.477440           2           0    0.045120           0           0           0           0    0.022560
mu               1    3.187024    1.309954    0.005466    0.113608    0.079459    0.420464    0.076803           0           0    0.000289
pa               1    2.974977    1.510040    0.029878    0.002866    0.002077    0.023082    0.461979           0           0    0.000044
bi        0.918767    2.938783    0.559864           0    1.381666    1.475090    0.500000           0    0.081233    0.003501    0.001353
ab               0           3    0.500000           0           0           0           0    0.500000           0           0           0
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          ab           q         H2O         sph
1       0.02271796  0.00065408  0.08693554  0.13352245  0.10904060              0.19615842  0.44544783  0.00552312

factor           g          ep          mu          pa          bi          ab           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13996073  0.23510748  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6132.7213  -5496.1825      0.7629    12.00102     3.94735
ep            -7101.0004  -6475.8315      0.7493    13.71081     3.32329
mu            -6128.2229  -5520.3107      0.7286    13.95334     2.85252
pa            -6153.2473  -5566.2208      0.7035    13.26741     2.89027
bi            -5975.8016  -5266.5094      0.8501    15.13468     3.07719
ab            -4069.9398  -3670.7300      0.4784    10.00794     2.62002
q              -936.0862   -851.9158      0.1009     2.25956     2.65892
H2O            -342.6946   -234.9884      0.1291     1.77577     1.01449
sph           -2692.2070  -2441.8840      0.3000     5.55771     3.52735

sys           -658.52872  -560.10882     0.11795     1.97744     2.11777

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000262152     4.49200  0.00117759    0.057715   -6498.22909026    -46.78808026    -6498.2291    -46.7881
      alm        0.129397     1.15215    0.149085     0.50802   -5540.69688044    -13.20360439    -5540.6969    -13.2036
      spss     7.77815e-5    0.979588  7.61939e-5    0.042875   -5962.56355757    -65.78238731    -5962.5636    -65.7824
      gr        0.0562412     1.18588   0.0666951     0.38482   -6834.03347811    -18.78397841    -6834.0335    -18.7840
      kho      1.14557e-8     1.28741  1.47482e-8   0.0065671   -5645.89431740   -125.09689648    -5645.8943   -125.0969

ep    cz         0.954916     1.00029    0.955191     0.95569   -7118.14445272      0.31803982    -7118.1445     -0.3180
      ep        0.0442753     1.14058   0.0504996    0.043502   -6710.73590871    -20.71373123    -6710.7359    -20.7137
      fep      3.58508e-5     1.51165  5.41939e-5  0.00080907   -6276.29075252    -68.14605972    -6276.2908    -68.1461

mu    mu         0.654928    0.941879    0.616863     0.64786   -6180.14749809     -3.35153659    -6180.1475     -3.3515
      cel       0.0336339     1.93025   0.0649218     0.11361   -6038.22606347    -18.97092859    -6038.2261    -18.9709
      fcel      0.0233531     1.93025   0.0450773    0.078882   -5705.32310274    -21.50173618    -5705.3231    -21.5017
      pa         0.119630     7.82109    0.935637     0.15361   -6143.15406028      0.46153462    -6143.1541     -0.4615
      mat     0.000728876     118.790   0.0865833   0.0054659   -6431.04869734    -16.97347073    -6431.0487    -16.9735
      fmu     0.000378245     1.09992 0.000416040  0.00057720   -5742.48011166    -54.00608242    -5742.4801    -54.0061

pa    mu        0.0459075     13.4364    0.616830    0.041222   -6180.14749809     -3.35191097    -6180.1475     -3.3519
      cel      3.14366e-5     2064.82   0.0649109   0.0028657   -6038.22606347    -18.97208778    -6038.2261    -18.9721
      fcel     2.18275e-5     2064.82   0.0450698   0.0019898   -5705.32310274    -21.50289536    -5705.3231    -21.5029
      pa         0.918815     1.01835    0.935678     0.92396   -6143.15406028      0.46122666    -6143.1541     -0.4612
      mat      0.00780931     11.0878   0.0865883    0.029878   -6431.04869734    -16.97307566    -6431.0487    -16.9731
      fmu      3.99544e-6     104.117 0.000415995   8.7025e-5   -5742.48011166    -54.00683783    -5742.4801    -54.0068

bi    phl       0.0749585     1.73643    0.130160     0.31105   -6444.15042141    -14.14535560    -6444.1504    -14.1454
      annm      0.0985347     1.49568    0.147377     0.46353   -5453.89573372    -13.28355906    -5453.8957    -13.2836
      obi        0.131414     1.37728    0.180995    0.081802   -6116.06552552    -11.85805983    -6116.0655    -11.8581
      east     0.00398474     3.54912   0.0141423    0.058511   -6555.05441253    -29.54365359    -6555.0544    -29.5437
      tbi     0.000153027     29.5702  0.00452503    0.081233   -6394.48806506    -37.44920738    -6394.4881    -37.4492
      fbi     0.000184306     2.92938 0.000539903   0.0027063   -6145.38702610    -52.19813295    -6145.3870    -52.1981
      mmbi     1.33619e-9     1.91182  2.55454e-9   0.0011669   -5804.36487272   -137.25994800    -5804.3649   -137.2599

ab                                                             -4069.9398
q                                                               -936.0862
H2O                                                             -342.6946
sph                                                            -2692.2070
