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

g ep mu pa bi chl q H2O sph  {5.0000, 480.307}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.91179   0.33166   0.33363   0.00245
ep        f(ep)     Q(ep)
        0.01498   0.01458
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39301   0.94358   0.00017   0.23719   0.00769
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39301   0.99884   0.00002   0.86317   0.05948
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55464   0.00815   0.08961   0.00263   0.05890   0.17778
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.40400   0.55756   0.00782   0.01105   0.43458   0.10286   0.06849

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.02952   0.30519   0.33363   0.33166   0.99755   0.00245
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00039   0.99961   0.02956   0.97044
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.75513   0.23719   0.00769   0.03425   0.02218   0.94358   0.99983   0.00017   0.52437   0.47563
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.07734   0.86317   0.05948   0.00070   0.00046   0.99884   0.99998   0.00002   0.47084   0.52916
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26495   0.00815   0.57577   0.00263   0.05890   0.08961   0.49647   0.00815   0.49538   0.45388   0.54612   0.94110   0.05890
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60519   0.01105   0.26078   0.12297   0.56715   0.01105   0.42180   0.00003   0.00001   0.00782   0.99214   0.43853   0.56147

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    0.997546    0.994974    0.088572    0.920473           0           0           0    1.000888    0.002454
ep        0.500000    3.000000    1.485022           2           0    0.029956           0           0           0           0    0.014978
mu        1.000000    3.048739    1.447333    0.007685    0.034249    0.022346    0.377565    0.118593           0           0    0.000085
pa        1.000000    2.941676    1.528570    0.059484    0.000704    0.000480    0.038671    0.431587           0           0    0.000012
bi        0.941101    2.907769    0.590918           0    1.257888    1.569148    0.500000           0    0.058899    0.024459    0.001313
chl       4.000000    2.877067    1.119025           0    2.873810    1.955831           0           0           0    0.055242    0.003908
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         chl           q         H2O         sph
1       0.00035601  0.01197556  0.06367237  0.14089930  0.13040844              0.20284569  0.44388267  0.00595998

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13967502  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6182.4435  -5636.9017      0.7241    12.05114     3.97054
ep            -7141.8371  -6614.2065      0.7003    13.75320     3.30986
mu            -6199.7168  -5690.9348      0.6753    14.02423     2.81718
pa            -6200.2228  -5703.1392      0.6597    13.42326     2.86365
bi            -5981.8391  -5373.0535      0.8080    15.30852     3.06300
chl           -8653.0063  -7777.4205      1.1621    21.41378     2.89221
q              -943.6846   -872.4047      0.0946     2.28980     2.62381
H2O            -345.1345   -247.6649      0.1294     2.04508     0.88090
sph           -2706.6831  -2494.8977      0.2811     5.58670     3.50905

sys           -663.03997  -576.84371     0.11440     2.11838     1.97687

                    ideal       gamma    activity        prop               0         RT ln a
g     py       2.56089e-5     4.88869 0.000125194    0.027070   -6522.02003911    -56.29096250    -6522.0200    -56.2910
      alm       0.0282860     1.26574   0.0358029     0.30519   -5558.52334224    -20.85922320    -5558.5233    -20.8592
      spss      0.0369538    0.983278   0.0363358     0.33363   -5983.40408656    -20.76665091    -5983.4041    -20.7667
      gr        0.0363025     1.10318   0.0400481     0.33166   -6867.03619685    -20.15725997    -6867.0362    -20.1573
      kho     1.54922e-10     2.39208 3.70585e-10   0.0024535   -5668.29506684   -136.04042836    -5668.2951   -136.0404

ep    cz         0.970056     1.00014    0.970193     0.97044   -7153.24019509      0.18956811    -7153.2402     -0.1896
      ep        0.0295494     1.16214   0.0343407    0.029166   -6745.32165465    -21.12043974    -6745.3217    -21.1204
      fep      1.16748e-5     1.59149  1.85803e-5  0.00039494   -6311.21220625    -68.24224665    -6311.2122    -68.2422

mu    mu         0.710708     1.01613    0.722170     0.69853   -6220.04223826     -2.03907742    -6220.0422     -2.0391
      cel      0.00710991     3.11965   0.0221804    0.034249   -6077.84799015    -23.85879288    -6077.8480    -23.8588
      fcel     0.00460350     3.11965   0.0143613    0.022175   -5742.14889270    -26.58181984    -5742.1489    -26.5818
      pa         0.223233     4.01856    0.897075     0.23719   -6178.92876015      0.68043036    -6178.9288     -0.6804
      mat      0.00164017     121.745    0.199682   0.0076851   -6465.88994236    -10.09235710    -6465.8899    -10.0924
      fmu     0.000121519     1.63076 0.000198168  0.00017095   -5781.67975212    -53.41396167    -5781.6798    -53.4140

pa    mu        0.0769873     9.37991    0.722134    0.076158   -6220.04223826     -2.03939050    -6220.0422     -2.0394
      cel      1.20785e-5     1836.05   0.0221767  0.00070447   -6077.84799015    -23.85985114    -6077.8480    -23.8599
      fcel     7.82051e-6     1836.05   0.0143589  0.00045613   -5742.14889270    -26.58287810    -5742.1489    -26.5829
      pa         0.859219     1.04409    0.897102     0.86317   -6178.92876015      0.68023792    -6178.9288     -0.6802
      mat       0.0166366     12.0033    0.199695    0.059484   -6465.88994236    -10.09196959    -6465.8899    -10.0920
      fmu      1.79934e-6     110.122 0.000198146   2.3371e-5   -5781.67975212    -53.41465990    -5781.6798    -53.4147

bi    phl       0.0573469     1.97365    0.113183     0.26495   -6485.97202501    -13.64888883    -6485.9720    -13.6489
      annm       0.124074     1.46080    0.181248     0.49538   -5489.99349315    -10.69915919    -5489.9935    -10.6992
      obi        0.124623     1.46218    0.182221    0.080392   -6155.97918106    -10.66561242    -6155.9792    -10.6656
      east     0.00583395     3.78779   0.0220978    0.089606   -6596.11356933    -23.88218532    -6596.1136    -23.8822
      tbi      4.99333e-5     53.2274  0.00265782    0.058899   -6435.77538824    -37.15030665    -6435.7754    -37.1503
      fbi     0.000170949     3.09748 0.000529510   0.0026257   -6185.75108320    -47.25694422    -6185.7511    -47.2569
      mmbi     4.75919e-7     2.00393  9.53707e-7   0.0081531   -5838.63612471    -86.84479422    -5838.6361    -86.8448

chl   clin      0.0611841     1.80596    0.110496     0.43633   -9286.64838276    -13.79936896    -9286.6484    -13.7994
      afchl    3.28059e-7     19.0331  6.24396e-6     0.16103   -9104.99977389    -75.07363705    -9104.9998    -75.0736
      ames     0.00397940     10.3316   0.0411137     0.12297   -9400.83002144    -19.99275272    -9400.8300    -19.9928
      daph     0.00806651     3.06420   0.0247174     0.42179   -7612.38713244    -23.18035475    -7612.3871    -23.1804
      ochl1    5.06787e-8     17.0734  8.65258e-7   1.3756e-5   -7427.73852356    -87.45451685    -7427.7385    -87.4545
      ochl4    1.41364e-7     22.3188  3.15507e-6    -0.16101   -8767.74752382    -79.34984311    -8767.7475    -79.3498
      f3clin  0.000482014     2.47274  0.00119190   0.0078162   -8871.28589662    -42.17421357    -8871.2859    -42.1742
      mmchl   1.60864e-10     1.05881 1.70325e-10    0.011048   -8202.63732806   -140.91033913    -8202.6373   -140.9103

q                                                               -943.6846
H2O                                                             -345.1345
sph                                                            -2706.6831

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

g ep mu pa bi chl q H2O sph  {5.2200, 483.003}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.91120   0.33115   0.32442   0.00249
ep        f(ep)     Q(ep)
        0.01501   0.01461
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39461   0.94107   0.00018   0.23388   0.00770
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39461   0.99878   0.00002   0.86408   0.05958
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55457   0.00790   0.08911   0.00262   0.05969   0.17678
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.40526   0.55717   0.00788   0.01061   0.43491   0.10278   0.06864

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.03059   0.31384   0.32442   0.33115   0.99751   0.00249
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00040   0.99960   0.02961   0.97039
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.75843   0.23388   0.00770   0.03567   0.02325   0.94107   0.99982   0.00018   0.52562   0.47438
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.07634   0.86408   0.05958   0.00074   0.00048   0.99878   0.99998   0.00002   0.47082   0.52918
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26538   0.00790   0.57530   0.00262   0.05969   0.08911   0.49645   0.00790   0.49565   0.45414   0.54586   0.94031   0.05969
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60484   0.01061   0.26229   0.12226   0.56615   0.01061   0.42324   0.00003   0.00001   0.00788   0.99208   0.43889   0.56111

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    0.997512    0.993443    0.091755    0.946505           0           0           0    0.973273    0.002488
ep        0.500000    3.000000    1.484995           2           0    0.030011           0           0           0           0    0.015005
mu        1.000000    3.051230    1.444833    0.007697    0.035674    0.023430    0.379214    0.116938           0           0    0.000088
pa               1    2.941642    1.528557    0.059578    0.000739    0.000506    0.038172    0.432039           0           0    0.000012
bi        0.940308    2.908274    0.590416           0    1.258275    1.569216    0.500000           0    0.059692    0.023711    0.001310
chl              4    2.877786    1.118276           0    2.869464    1.963161           0           0           0    0.053038    0.003938
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         chl           q         H2O         sph
1       0.00046067  0.01195670  0.06373785  0.14097824  0.13026847              0.20277873  0.44389432  0.00592502

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13968515  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6178.1984  -5629.3496      0.7258    12.04722     3.97143
ep            -7140.6806  -6609.8943      0.7020    13.75172     3.31023
mu            -6197.9353  -5685.9927      0.6770    14.02190     2.81825
pa            -6199.0204  -5698.9833      0.6613    13.41788     2.86470
bi            -5980.6912  -5368.5137      0.8096    15.30306     3.06406
chl           -8649.3237  -7768.4258      1.1650    21.41021     2.89345
q              -943.4363   -871.7368      0.0948     2.28879     2.62497
H2O            -345.0348   -247.2717      0.1293     2.03062     0.88717
sph           -2706.2127  -2493.1714      0.2817     5.58575     3.50965

sys           -662.88323  -576.30734     0.11450     2.11136     1.98345

                    ideal       gamma    activity        prop               0         RT ln a
g     py       2.84688e-5     4.84395 0.000137901    0.028097   -6521.24723997    -55.88459825    -6521.2472    -55.8846
      alm       0.0307591     1.25939   0.0387376     0.31384   -5557.94731352    -20.43855241    -5557.9473    -20.4386
      spss      0.0339763    0.982994   0.0333985     0.32442   -5982.73109986    -21.37090022    -5982.7311    -21.3709
      gr        0.0361327     1.10789   0.0400312     0.33115   -6865.96465071    -20.23203866    -6865.9647    -20.2320
      kho     1.77111e-10     2.36602 4.19048e-10   0.0024880   -5667.57292138   -135.75451320    -5667.5729   -135.7545

ep    cz         0.970001     1.00014    0.970138     0.97039   -7152.10116788      0.19059863    -7152.1012     -0.1906
      ep        0.0295986     1.16150   0.0343789    0.029210   -6744.20062956    -21.18901958    -6744.2006    -21.1890
      fep      1.18465e-5     1.58881  1.88218e-5  0.00040008   -6310.08236254    -68.40519645    -6310.0824    -68.4052

mu    mu         0.711737     1.01279    0.720839     0.69932   -6218.73712952     -2.05797171    -6218.7371     -2.0580
      cel      0.00747346     3.06101   0.0228763    0.035674   -6076.55809569    -23.74993800    -6076.5581    -23.7499
      fcel     0.00487147     3.06101   0.0149116    0.023253   -5740.95226438    -26.44051989    -5740.9523    -26.4405
      pa         0.219477     4.08968    0.897591     0.23388   -6177.75863791      0.67924847    -6177.7586     -0.6792
      mat      0.00162977     121.200    0.197528   0.0076970   -6464.75473942    -10.19664815    -6464.7547    -10.1966
      fmu     0.000125691     1.60497 0.000201730  0.00017657   -5780.39997023    -53.49307835    -5780.4000    -53.4931

pa    mu        0.0759902     9.48547    0.720803    0.075100   -6218.73712952     -2.05828696    -6218.7371     -2.0583
      cel      1.25008e-5     1829.68   0.0228725  0.00073868   -6076.55809569    -23.75099891    -6076.5581    -23.7510
      fcel     8.14847e-6     1829.68   0.0149091  0.00048150   -5740.95226438    -26.44158080    -5740.9523    -26.4416
      pa         0.860063     1.04367    0.897619     0.86408   -6177.75863791      0.67905315    -6177.7586     -0.6791
      mat       0.0166628     11.8552    0.197541    0.059578   -6464.75473942    -10.19625939    -6464.7547    -10.1963
      fmu      1.84520e-6     109.315 0.000201708   2.4281e-5   -5780.39997023    -53.49377808    -5780.4000    -53.4938

bi    phl       0.0573434     1.96939    0.112932     0.26538   -6484.60957477    -13.71168849    -6484.6096    -13.7117
      annm       0.123912     1.45890    0.180775     0.49565   -5488.82161815    -10.75384694    -5488.8216    -10.7538
      obi        0.124313     1.46072    0.181586    0.079655   -6154.68025590    -10.72570825    -6154.6803    -10.7257
      east     0.00578587     3.77976   0.0218692    0.089107   -6594.77562670    -24.03300945    -6594.7756    -24.0330
      tbi      5.19779e-5     52.1538  0.00271084    0.059692   -6434.43310877    -37.15903807    -6434.4331    -37.1590
      fbi     0.000170059     3.09296 0.000525988   0.0026190   -6184.43846740    -47.46799316    -6184.4385    -47.4680
      mmbi     4.32862e-7     1.99950  8.65509e-7   0.0079036   -5837.52608699    -87.76560588    -5837.5261    -87.7656

chl   clin      0.0607260     1.80670    0.109713     0.43599   -9284.82717255    -13.89344561    -9284.8272    -13.8934
      afchl    3.40613e-7     18.9195  6.44422e-6     0.16096   -9103.08996954    -75.14377471    -9103.0900    -75.1438
      ames     0.00392314     10.2986   0.0404028     0.12226   -9399.03423381    -20.17393826    -9399.0342    -20.1739
      daph     0.00822550     3.03861   0.0249941     0.42323   -7610.95114479    -23.19331270    -7610.9511    -23.1933
      ochl1    5.39875e-8     16.8743  9.11003e-7   1.4440e-5   -7426.21394178    -87.44353632    -7426.2139    -87.4435
      ochl4    1.47709e-7     22.1559  3.27263e-6    -0.16094   -8765.91476399    -79.40375709    -8765.9148    -79.4038
      f3clin  0.000482117     2.47088  0.00119125   0.0078764   -8869.49001326    -42.32851473    -8869.4900    -42.3285
      mmchl   1.31244e-10     1.05748 1.38788e-10    0.010608   -8200.96942966   -142.70181124    -8200.9694   -142.7018

q                                                               -943.4363
H2O                                                             -345.0348
sph                                                            -2706.2127

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

g ep mu pa bi chl q H2O sph  {5.4400, 485.670}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.91061   0.33063   0.31500   0.00252
ep        f(ep)     Q(ep)
        0.01503   0.01463
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39618   0.93852   0.00018   0.23062   0.00771
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39618   0.99872   0.00003   0.86500   0.05965
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55449   0.00765   0.08860   0.00261   0.06048   0.17578
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.40649   0.55678   0.00794   0.01017   0.43524   0.10270   0.06877

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.03168   0.32270   0.31500   0.33063   0.99748   0.00252
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00041   0.99959   0.02966   0.97034
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.76167   0.23062   0.00771   0.03712   0.02436   0.93852   0.99982   0.00018   0.52689   0.47311
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.07535   0.86500   0.05965   0.00077   0.00051   0.99872   0.99997   0.00003   0.47082   0.52918
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26581   0.00765   0.57484   0.00261   0.06048   0.08860   0.49645   0.00765   0.49590   0.45439   0.54561   0.93952   0.06048
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60451   0.01017   0.26378   0.12154   0.56518   0.01017   0.42465   0.00003   0.00002   0.00794   0.99202   0.43925   0.56075

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    0.997477    0.991882    0.095029    0.973143           0           0           0    0.944992    0.002523
ep        0.500000           3    1.484966           2           0    0.030069           0           0           0           0    0.015034
mu        1.000000    3.053773    1.442282    0.007709    0.037124    0.024540    0.380833    0.115312           0           0    0.000091
pa        1.000000    2.941632    1.528531    0.059650    0.000774    0.000533    0.037677    0.432498           0           0    0.000013
bi        0.939516    2.908784    0.589909           0    1.258715    1.569252    0.500000           0    0.060484    0.022945    0.001306
chl              4    2.878504    1.117527           0    2.865275    1.970330           0           0           0    0.050837    0.003968
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         chl           q         H2O         sph
1       0.00057399  0.01193478  0.06381911  0.14104635  0.13011968              0.20270916  0.44390659  0.00589034

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13969527  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6173.8513  -5621.7316      0.7276    12.04321     3.97233
ep            -7139.5073  -6605.5944      0.7036    13.75023     3.31060
mu            -6196.1215  -5681.0448      0.6788    14.01952     2.81932
pa            -6197.7977  -5694.8354      0.6628    13.41251     2.86574
bi            -5979.5380  -5364.0040      0.8112    15.29759     3.06512
chl           -8645.6683  -7759.5106      1.1678    21.40662     2.89468
q              -943.1860   -871.0711      0.0950     2.28777     2.62613
H2O            -344.9343   -246.8753      0.1292     2.01685     0.89322
sph           -2705.7363  -2491.4505      0.2824     5.58479     3.51025

sys           -662.72496  -575.77070     0.11459     2.10464     1.98978

                    ideal       gamma    activity        prop               0         RT ln a
g     py       3.16235e-5     4.79992 0.000151790    0.029153   -6520.46016163    -55.47628197    -6520.4602    -55.4763
      alm       0.0334348     1.25302   0.0418944     0.32270   -5557.35467065    -20.01638195    -5557.3547    -20.0164
      spss      0.0310975    0.982724   0.0305603     0.31500   -5982.04178296    -22.00659343    -5982.0418    -22.0066
      gr        0.0359602     1.11281   0.0400171     0.33063   -6864.87918686    -20.30562229    -6864.8792    -20.3056
      kho     2.02306e-10     2.34005 4.73404e-10   0.0025229   -5666.83433604   -135.46384201    -5666.8343   -135.4638

ep    cz         0.969943     1.00014    0.970081     0.97034   -7150.94674971      0.19164761    -7150.9467     -0.1916
      ep        0.0296514     1.16087   0.0344214    0.029258   -6743.06340446    -21.25594460    -6743.0634    -21.2559
      fep      1.20210e-5     1.58619  1.90676e-5  0.00040525   -6308.93570698    -68.56462095    -6308.9357    -68.5646

mu    mu         0.712641     1.00956    0.719457     0.70000   -6217.41800531     -2.07733948    -6217.4180     -2.0773
      cel      0.00784825     3.00510   0.0235847    0.037124   -6075.25377104    -23.64130077    -6075.2538    -23.6413
      fcel     0.00514940     3.00510   0.0154744    0.024358   -5739.73998269    -26.30003323    -5739.7400    -26.3000
      pa         0.215780     4.16219    0.898119     0.23062   -6176.57474732      0.67793329    -6176.5747     -0.6779
      mat      0.00161914     120.679    0.195396   0.0077089   -6463.60567705    -10.30109809    -6463.6057    -10.3011
      fmu     0.000129914     1.58023 0.000205294  0.00018227   -5779.10509251    -53.57126657    -5779.1051    -53.5713

pa    mu        0.0749992     9.59238    0.719420    0.074047   -6217.41800531     -2.07765688    -6217.4180     -2.0777
      cel      1.29280e-5     1824.00   0.0235808  0.00077399   -6075.25377104    -23.64236430    -6075.2538    -23.6424
      fcel     8.48235e-6     1824.00   0.0154718  0.00050783   -5739.73998269    -26.30109676    -5739.7400    -26.3011
      pa         0.860922     1.04324    0.898147     0.86500   -6176.57474732      0.67773508    -6176.5747     -0.6777
      mat       0.0166823     11.7135    0.195408    0.059650   -6463.60567705    -10.30070811    -6463.6057    -10.3007
      fmu      1.89112e-6     108.545 0.000205271   2.5215e-5   -5779.10509251    -53.57196777    -5779.1051    -53.5720

bi    phl       0.0573465     1.96517    0.112696     0.26581   -6483.23150019    -13.77324372    -6483.2315    -13.7732
      annm       0.123741     1.45709    0.180303     0.49590   -5487.63123066    -10.80829583    -5487.6312    -10.8083
      obi        0.124017     1.45925    0.180973    0.078941   -6153.36474368    -10.78489484    -6153.3647    -10.7849
      east     0.00573817     3.77195   0.0216441    0.088603   -6593.42227144    -24.18304808    -6593.4223    -24.1830
      tbi      5.40824e-5     51.1156  0.00276445    0.060484   -6433.07597986    -37.16654631    -6433.0760    -37.1665
      fbi     0.000169186     3.08858 0.000522545   0.0026124   -6183.10935865    -47.67685460    -6183.1094    -47.6769
      mmbi     3.91659e-7     1.99521  7.81441e-7   0.0076485   -5836.39712142    -88.71982154    -5836.3971    -88.7198

chl   clin      0.0602869     1.80733    0.108958     0.43568   -9282.98342539    -13.98601359    -9282.9834    -13.9860
      afchl    3.53499e-7     18.8080  6.64862e-6     0.16089   -9101.15754999    -75.21181130    -9101.1575    -75.2118
      ames     0.00386841     10.2663   0.0397143     0.12154   -9397.21666082    -20.35353419    -9397.2167    -20.3535
      daph     0.00838348     3.01392   0.0252671     0.42463   -7609.48767312    -23.20657145    -7609.4877    -23.2066
      ochl1    5.74472e-8     16.6824  9.58355e-7   1.5146e-5   -7424.66179773    -87.43226418    -7424.6618    -87.4323
      ochl4    1.54249e-7     21.9969  3.39300e-6    -0.16086   -8764.05839954    -79.45593191    -8764.0584    -79.4559
      f3clin  0.000482337     2.46893  0.00119086   0.0079368   -8867.67051259    -42.47990521    -8867.6705    -42.4799
      mmchl   1.06195e-10     1.05620 1.12163e-10    0.010167   -8199.27404695   -144.54896514    -8199.2740   -144.5490

q                                                               -943.1860
H2O                                                             -344.9343
sph                                                            -2705.7363

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

g ep mu pa bi chl q H2O sph  {5.6600, 488.308}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.91003   0.33010   0.30535   0.00256
ep        f(ep)     Q(ep)
        0.01507   0.01466
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39771   0.93591   0.00019   0.22743   0.00772
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39771   0.99865   0.00003   0.86593   0.05970
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55440   0.00739   0.08809   0.00261   0.06128   0.17480
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.40768   0.55639   0.00800   0.00973   0.43557   0.10262   0.06889

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.03280   0.33175   0.30535   0.33010   0.99744   0.00256
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00041   0.99959   0.02972   0.97028
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.76485   0.22743   0.00772   0.03860   0.02549   0.93591   0.99981   0.00019   0.52818   0.47182
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.07437   0.86593   0.05970   0.00081   0.00054   0.99865   0.99997   0.00003   0.47082   0.52918
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26625   0.00739   0.57438   0.00261   0.06128   0.08809   0.49648   0.00739   0.49613   0.45465   0.54535   0.93872   0.06128
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60421   0.00973   0.26524   0.12082   0.56425   0.00973   0.42602   0.00003   0.00002   0.00800   0.99196   0.43961   0.56039

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    0.997442    0.990300    0.098392    1.000376           0           0           0    0.916048    0.002558
ep        0.500000    3.000000    1.484935           2           0    0.030131           0           0           0           0    0.015065
mu               1    3.056367    1.439679    0.007721    0.038599    0.025676    0.382423    0.113717           0           0    0.000094
pa        1.000000    2.941647    1.528491    0.059698    0.000810    0.000561    0.037184    0.432966           0           0    0.000013
bi        0.938724    2.909302    0.589395           0    1.259214    1.569253    0.500000           0    0.061276    0.022164    0.001303
chl       4.000000    2.879226    1.116775           0    2.861253    1.977329           0           0           0    0.048642    0.003999
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         chl           q         H2O         sph
1       0.00069685  0.01190945  0.06391700  0.14110325  0.12996119              0.20263674  0.44391952  0.00585600

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13970538  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6169.4048  -5614.0519      0.7293    12.03913     3.97324
ep            -7138.3165  -6601.3069      0.7052    13.74873     3.31098
mu            -6194.2750  -5676.0913      0.6805    14.01711     2.82040
pa            -6196.5535  -5690.6949      0.6643    13.40714     2.86678
bi            -5978.3802  -5359.5259      0.8127    15.29211     3.06617
chl           -8642.0414  -7750.6774      1.1706    21.40300     2.89588
q              -942.9338   -870.4074      0.0952     2.28676     2.62730
H2O            -344.8329   -246.4803      0.1292     2.00371     0.89908
sph           -2705.2535  -2489.7353      0.2830     5.58384     3.51085

sys           -662.56504  -575.23587     0.11469     2.09820     1.99588

                    ideal       gamma    activity        prop               0         RT ln a
g     py       3.50989e-5     4.75662 0.000166952    0.030239   -6519.65841671    -55.06634940    -6519.6584    -55.0663
      alm       0.0363263     1.24663   0.0452856     0.33175   -5556.74498601    -19.59316815    -5556.7450    -19.5932
      spss      0.0283247    0.982468   0.0278281     0.30535   -5981.33571714    -22.67602689    -5981.3357    -22.6760
      gr        0.0357859     1.11795   0.0400068     0.33010   -6863.77942119    -20.37783338    -6863.7794    -20.3778
      kho     2.30891e-10     2.31413 5.34312e-10   0.0025583   -5666.07889228   -135.16850210    -5666.0789   -135.1685

ep    cz         0.969881     1.00014    0.970018     0.97028   -7149.77652576      0.19271848    -7149.7765     -0.1927
      ep        0.0297083     1.16025   0.0344690    0.029310   -6741.90954801    -21.32109497    -6741.9095    -21.3211
      fep      1.21989e-5     1.58361  1.93183e-5  0.00041046   -6307.77179907    -68.72026968    -6307.7718    -68.7203

mu    mu         0.713421     1.00645    0.718022     0.70057   -6216.08446602     -2.09719332    -6216.0845     -2.0972
      cel      0.00823455     2.95174   0.0243063    0.038599   -6073.93461843    -23.53270626    -6073.9346    -23.5327
      fcel     0.00543750     2.95174   0.0160501    0.025488   -5738.51163222    -26.16022938    -5738.5116    -26.1602
      pa         0.212141     4.23614    0.898661     0.22743   -6175.37669743      0.67647197    -6175.3767     -0.6765
      mat      0.00160823     120.181    0.193278   0.0077205   -6462.44236482    -10.40589193    -6462.4424    -10.4059
      fmu     0.000134189     1.55647 0.000208862  0.00018806   -5777.79470380    -53.64841470    -5777.7947    -53.6484

pa    mu        0.0740141     9.70067    0.717986    0.072997   -6216.08446602     -2.09751285    -6216.0845     -2.0975
      cel      1.33599e-5     1819.04   0.0243022  0.00081041   -6073.93461843    -23.53377237    -6073.9346    -23.5338
      fcel     8.82188e-6     1819.04   0.0160474  0.00053514   -5738.51163222    -26.16129550    -5738.5116    -26.1613
      pa         0.861800     1.04280    0.898689     0.86593   -6175.37669743      0.67627086    -6175.3767     -0.6763
      mat       0.0166942     11.5783    0.193290    0.059698   -6462.44236482    -10.40550077    -6462.4424    -10.4055
      fmu      1.93707e-6     107.812 0.000208839   2.6171e-5   -5777.79470380    -53.64911736    -5777.7947    -53.6491

bi    phl       0.0573571     1.96098    0.112476     0.26625   -6481.83737780    -13.83345404    -6481.8374    -13.8335
      annm       0.123562     1.45537    0.179829     0.49613   -5486.42186129    -10.86253169    -5486.4219    -10.8625
      obi        0.123736     1.45779    0.180381    0.078253   -6152.03220563    -10.84311381    -6152.0322    -10.8431
      east     0.00569074     3.76438   0.0214221    0.088093   -6592.05308321    -24.33238326    -6592.0531    -24.3324
      tbi      5.62464e-5     50.1116  0.00281860    0.061276   -6431.70360453    -37.17294412    -6431.7036    -37.1729
      fbi     0.000168329     3.08433 0.000519180   0.0026057   -6181.76332100    -47.88348638    -6181.7633    -47.8835
      mmbi     3.52447e-7     1.99105  7.01739e-7   0.0073881   -5835.24875781    -89.70931675    -5835.2488    -89.7093

chl   clin      0.0598679     1.80785    0.108232     0.43540   -9281.11649943    -14.07696419    -9281.1165    -14.0770
      afchl    3.66734e-7     18.6987  6.85747e-6     0.16080   -9099.20187329    -75.27745263    -9099.2019    -75.2775
      ames     0.00381507     10.2349   0.0390468     0.12082   -9395.37666962    -20.53160849    -9395.3767    -20.5316
      daph     0.00854012     2.99012   0.0255360     0.42600   -7607.99599616    -23.22023569    -7607.9960    -23.2202
      ochl1    6.10602e-8     16.4974  1.00734e-6   1.5875e-5   -7423.08137002    -87.42061963    -7423.0814    -87.4206
      ochl4    1.60990e-7     21.8419  3.51632e-6    -0.16076   -8762.17777264    -79.50611603    -8762.1778    -79.5061
      f3clin  0.000482695     2.46688  0.00119075   0.0079978   -8865.82673721    -42.62815214    -8865.8267    -42.6282
      mmchl   8.51791e-11     1.05497 8.98613e-11   0.0097285   -8197.55046952   -146.45497172    -8197.5505   -146.4550

q                                                               -942.9338
H2O                                                             -344.8329
sph                                                            -2705.2535

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

g ep mu pa bi chl q H2O sph  {5.8800, 490.916}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90946   0.32957   0.29548   0.00259
ep        f(ep)     Q(ep)
        0.01510   0.01468
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39920   0.93326   0.00019   0.22430   0.00773
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39920   0.99859   0.00003   0.86689   0.05972
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55428   0.00712   0.08757   0.00260   0.06207   0.17382
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.40883   0.55599   0.00806   0.00929   0.43590   0.10253   0.06901

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.03395   0.34100   0.29548   0.32957   0.99741   0.00259
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00042   0.99958   0.02978   0.97022
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.76797   0.22430   0.00773   0.04010   0.02664   0.93326   0.99981   0.00019   0.52951   0.47049
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.07339   0.86689   0.05972   0.00085   0.00056   0.99859   0.99997   0.00003   0.47085   0.52915
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26671   0.00712   0.57393   0.00260   0.06207   0.08757   0.49654   0.00712   0.49634   0.45491   0.54509   0.93793   0.06207
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60395   0.00929   0.26667   0.12009   0.56336   0.00929   0.42735   0.00003   0.00002   0.00806   0.99189   0.43998   0.56002

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    0.997406    0.988706    0.101845    1.028190           0           0           0    0.886448    0.002594
ep        0.500000           3    1.484901           2           0    0.030198           0           0           0           0    0.015099
mu               1    3.059013    1.437024    0.007732    0.040100    0.026838    0.383985    0.112150           0           0    0.000097
pa        1.000000    2.941692    1.528435    0.059720    0.000848    0.000591    0.036695    0.433446           0           0    0.000014
bi        0.937934    2.909828    0.588872           0    1.259780    1.569212    0.500000           0    0.062066    0.021369    0.001299
chl       4.000000    2.879957    1.116013           0    2.857412    1.984148           0           0           0    0.046457    0.004030
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         chl           q         H2O         sph
1       0.00083026  0.01188033  0.06403256  0.14114843  0.12979197              0.20256119  0.44393319  0.00582208

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13971548  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6164.8622  -5606.3161      0.7310    12.03496     3.97415
ep            -7137.1073  -6597.0317      0.7068    13.74721     3.31136
mu            -6192.3951  -5671.1323      0.6822    14.01466     2.82148
pa            -6195.2863  -5686.5613      0.6658    13.40178     2.86782
bi            -5977.2184  -5355.0813      0.8142    15.28662     3.06721
chl           -8638.4443  -7741.9297      1.1733    21.39935     2.89706
q              -942.6795   -869.7459      0.0955     2.28575     2.62846
H2O            -344.7302   -246.0829      0.1291     1.99113     0.90476
sph           -2704.7641  -2488.0257      0.2837     5.58288     3.51145

sys           -662.40333  -574.70115     0.11478     2.09202     2.00178

                    ideal       gamma    activity        prop               0         RT ln a
g     py       3.89222e-5     4.71410 0.000183483    0.031354   -6518.84138308    -54.65515392    -6518.8414    -54.6552
      alm       0.0394465     1.24025   0.0489235     0.34100   -5556.11756509    -19.16939834    -5556.1176    -19.1694
      spss      0.0256649    0.982229   0.0252088     0.29548   -5980.61222165    -23.38168794    -5980.6122    -23.3817
      gr        0.0356108     1.12330   0.0400015     0.32957   -6862.66473881    -20.44846751    -6862.6647    -20.4485
      kho     2.63297e-10     2.28825 6.02489e-10   0.0025942   -5665.30590910   -134.86853973    -5665.3059   -134.8685

ep    cz         0.969814     1.00014    0.969952     0.97022   -7148.58982720      0.19381526    -7148.5898     -0.1938
      ep        0.0297698     1.15964   0.0345222    0.029366   -6740.73836366    -21.38431941    -6740.7384    -21.3843
      fep      1.23807e-5     1.58108  1.95749e-5  0.00041571   -6306.58992558    -68.87182506    -6306.5899    -68.8718

mu    mu         0.714077     1.00344    0.716535     0.70103   -6214.73586783     -2.11754613    -6214.7359     -2.1175
      cel      0.00863275     2.90077   0.0250416    0.040100   -6072.59999630    -23.42395406    -6072.6000    -23.4240
      fcel     0.00573600     2.90077   0.0166388    0.026644   -5737.26653778    -26.02096207    -5737.2665    -26.0210
      pa         0.208559     4.31158    0.899218     0.22430   -6174.16385924      0.67484865    -6174.1639     -0.6748
      mat      0.00159696     119.708    0.191169   0.0077316   -6461.26417778    -10.51123447    -6461.2642    -10.5112
      fmu     0.000138517     1.53364 0.000212435  0.00019394   -5776.46813084    -53.72438211    -5776.4681    -53.7244

pa    mu        0.0730346     9.81041    0.716499    0.071951   -6214.73586783     -2.11786778    -6214.7359     -2.1179
      cel      1.37960e-5     1814.83   0.0250374  0.00084796   -6072.59999630    -23.42502275    -6072.6000    -23.4250
      fcel     9.16671e-6     1814.83   0.0166360  0.00056342   -5737.26653778    -26.02203076    -5737.2665    -26.0220
      pa         0.862701     1.04236    0.899247     0.86689   -6174.16385924      0.67464461    -6174.1639     -0.6746
      mat       0.0166977     11.4496    0.191181    0.059720   -6461.26417778    -10.51084218    -6461.2642    -10.5108
      fmu      1.98300e-6     107.116 0.000212412   2.7151e-5   -5776.46813084    -53.72508621    -5776.4681    -53.7251

bi    phl       0.0573766     1.95682    0.112275     0.26671   -6480.42651965    -13.89219612    -6480.4265    -13.8922
      annm       0.123372     1.45375    0.179352     0.49634   -5485.19273702    -10.91657780    -5485.1927    -10.9166
      obi        0.123470     1.45632    0.179813    0.077593   -6150.68192544    -10.90029069    -6150.6819    -10.9003
      east     0.00564348     3.75704   0.0212028    0.087573   -6590.66738041    -24.48109638    -6590.6674    -24.4811
      tbi      5.84693e-5     49.1406  0.00287322    0.062066   -6430.31533698    -37.17833962    -6430.3153    -37.1783
      fbi     0.000167487     3.08021 0.000515895   0.0025990   -6180.39964342    -48.08781636    -6180.3996    -48.0878
      mmbi     3.15342e-7     1.98702  6.26591e-7   0.0071230   -5834.08021906    -90.73613267    -5834.0802    -90.7361

chl   clin      0.0594700     1.80825    0.107536     0.43518   -9279.22536780    -14.16616126    -9279.2254    -14.1662
      afchl    3.80339e-7     18.5917  7.07114e-6     0.16069   -9097.22191161    -75.34035241    -9097.2219    -75.3404
      ames     0.00376293     10.2045   0.0383989     0.12009   -9393.51325162    -20.70821776    -9393.5133    -20.7082
      daph     0.00869504     2.96721   0.0258000     0.42733   -7606.47494138    -23.23441748    -7606.4749    -23.2344
      ochl1    6.48281e-8     16.3195  1.05796e-6   1.6625e-5   -7421.47148519    -87.40850459    -7421.4715    -87.4085
      ochl4    1.67938e-7     21.6911  3.64275e-6    -0.16066   -8760.27182632    -79.55401282    -8760.2718    -79.5540
      f3clin  0.000483212     2.46470  0.00119097   0.0080594   -8863.95763081    -42.77296577    -8863.9576    -42.7730
      mmchl   6.76939e-11     1.05379 7.13350e-11   0.0092913   -8195.79753833   -148.42328997    -8195.7975   -148.4233

q                                                               -942.6795
H2O                                                             -344.7302
sph                                                            -2704.7641

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

g ep mu pa bi chl q H2O sph  {6.1000, 493.493}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90889   0.32904   0.28540   0.00263
ep        f(ep)     Q(ep)
        0.01514   0.01471
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40065   0.93054   0.00020   0.22122   0.00774
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40065   0.99852   0.00003   0.86788   0.05971
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55414   0.00685   0.08704   0.00259   0.06285   0.17286
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.40994   0.55559   0.00812   0.00886   0.43624   0.10244   0.06911

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.03513   0.35043   0.28540   0.32904   0.99737   0.00263
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00042   0.99958   0.02985   0.97015
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.77104   0.22122   0.00774   0.04163   0.02783   0.93054   0.99980   0.00020   0.53086   0.46914
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.07241   0.86788   0.05971   0.00089   0.00059   0.99852   0.99997   0.00003   0.47088   0.52912
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26717   0.00685   0.57349   0.00259   0.06285   0.08704   0.49662   0.00685   0.49652   0.45518   0.54482   0.93715   0.06285
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60372   0.00886   0.26808   0.11935   0.56250   0.00886   0.42864   0.00003   0.00002   0.00812   0.99183   0.44035   0.55965

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    0.997369    0.987110    0.105386    1.056562           0           0           0    0.856204    0.002631
ep        0.500000           3    1.484865           2           0    0.030270           0           0           0           0    0.015135
mu               1    3.061713    1.434316    0.007742    0.041628    0.028027    0.385519    0.110610           0           0    0.000100
pa               1    2.941769    1.528362    0.059710    0.000887    0.000621    0.036207    0.433938           0           0    0.000014
bi        0.937146    2.910366    0.588338           0    1.260421    1.569124    0.500000           0    0.062854    0.020560    0.001296
chl              4    2.880702    1.115238           0    2.853769    1.990772           0           0           0    0.044282    0.004061
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         chl           q         H2O         sph
1       0.00097544  0.01184695  0.06416703  0.14118128  0.12961081              0.20248218  0.44394766  0.00578866

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13972553  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6160.2275  -5598.5309      0.7327    12.03072     3.97508
ep            -7135.8785  -6592.7693      0.7084    13.74569     3.31174
mu            -6190.4807  -5666.1684      0.6839    14.01218     2.82257
pa            -6193.9942  -5682.4342      0.6673    13.39643     2.86885
bi            -5976.0530  -5350.6725      0.8157    15.28111     3.06824
chl           -8634.8788  -7733.2721      1.1760    21.39568     2.89821
q              -942.4230   -869.0865      0.0957     2.28473     2.62963
H2O            -344.6261   -245.6869      0.1291     1.97907     0.91028
sph           -2704.2677  -2486.3221      0.2843     5.58192     3.51205

sys           -662.23965  -574.16833     0.11488     2.08606     2.00750

                    ideal       gamma    activity        prop               0         RT ln a
g     py       4.31213e-5     4.67240 0.000201480    0.032498   -6518.00817970    -54.24307311    -6518.0082    -54.2431
      alm       0.0428084     1.23387   0.0528199     0.35043   -5555.47141914    -18.74560032    -5555.4714    -18.7456
      spss      0.0231249    0.982007   0.0227088     0.28540   -5979.87032695    -24.12626789    -5979.8703    -24.1263
      gr        0.0354360     1.12886   0.0400024     0.32904   -6861.53427019    -20.51728847    -6861.5343    -20.5173
      kho     3.00004e-10     2.26238 6.78723e-10   0.0026307   -5664.51441625   -134.56395739    -5664.5144   -134.5640

ep    cz         0.969742     1.00014    0.969880     0.97015   -7147.38570504      0.19494269    -7147.3857     -0.1949
      ep        0.0298368     1.15904   0.0345819    0.029428   -6739.54886237    -21.44543059    -6739.5489    -21.4454
      fep      1.25671e-5     1.57859  1.98383e-5  0.00042102   -6305.38907261    -69.01889244    -6305.3891    -69.0189

mu    mu         0.714610     1.00054    0.714994     0.70138   -6213.37129764     -2.13841158    -6213.3713     -2.1384
      cel      0.00904331     2.85203   0.0257918    0.041628   -6071.24899422    -23.31481382    -6071.2490    -23.3148
      fcel     0.00604521     2.85203   0.0172411    0.027827   -5736.00373791    -25.88206614    -5736.0037    -25.8821
      pa         0.205031     4.38858    0.899794     0.22122   -6172.93534115      0.67304406    -6172.9353     -0.6730
      mat      0.00158527     119.262    0.189061   0.0077418   -6460.07023224    -10.61735482    -6460.0702    -10.6174
      fmu     0.000142898     1.51169 0.000216017  0.00019993   -5775.12441592    -53.79899489    -5775.1244    -53.7990

pa    mu        0.0720601     9.92169    0.714958    0.070907   -6213.37129764     -2.13873535    -6213.3713     -2.1387
      cel      1.42360e-5     1811.43   0.0257874  0.00088664   -6071.24899422    -23.31588508    -6071.2490    -23.3159
      fcel     9.51637e-6     1811.43   0.0172382  0.00059269   -5736.00373791    -25.88313740    -5736.0037    -25.8831
      pa         0.863628     1.04191    0.899823     0.86788   -6172.93534115      0.67283708    -6172.9353     -0.6728
      mat       0.0166915     11.3275    0.189073    0.059710   -6460.07023224    -10.61696143    -6460.0702    -10.6170
      fmu      2.02886e-6     106.460 0.000215993   2.8154e-5   -5775.12441592    -53.79970044    -5775.1244    -53.7997

bi    phl       0.0574063     1.95265    0.112095     0.26717   -6478.99794637    -13.94932051    -6478.9979    -13.9493
      annm       0.123172     1.45222    0.178873     0.49652   -5483.94275058    -10.97045512    -5483.9428    -10.9705
      obi        0.123222     1.45485    0.179270    0.076963   -6149.31288110    -10.95633285    -6149.3129    -10.9563
      east     0.00559627     3.74994   0.0209857    0.087042   -6589.26419351    -24.62926950    -6589.2642    -24.6293
      tbi      6.07496e-5     48.2016  0.00292823    0.062854   -6428.91025717    -37.18283781    -6428.9103    -37.1828
      fbi     0.000166662     3.07621 0.000512688   0.0025922   -6179.01731179    -48.28973900    -6179.0173    -48.2897
      mmbi     2.80433e-7     1.98312  5.56135e-7   0.0068534   -5832.89039024    -91.80248062    -5832.8904    -91.8025

chl   clin      0.0590947     1.80849    0.106872     0.43500   -9277.30857872    -14.25343765    -9277.3086    -14.2534
      afchl    3.94336e-7     18.4869  7.29005e-6     0.16058   -9095.21621130    -75.40010400    -9095.2162    -75.4001
      ames     0.00371186     10.1754   0.0377695     0.11935   -9391.62498351    -20.88340774    -9391.6250    -20.8834
      daph     0.00884781     2.94519   0.0260585     0.42862   -7604.92283889    -23.24923868    -7604.9228    -23.2492
      ochl1    6.87515e-8     16.1488  1.11025e-6   1.7397e-5   -7419.83047146    -87.39580144    -7419.8305    -87.3958
      ochl4    1.75101e-7     21.5446  3.77248e-6    -0.16055   -8758.33906333    -79.59927344    -8758.3391    -79.5993
      f3clin  0.000483915     2.46237  0.00119158   0.0081219   -8862.06169700    -42.91399141    -8862.0617    -42.9140
      mmchl   5.32736e-11     1.05266 5.60789e-11   0.0088565   -8194.01359995   -150.45766212    -8194.0136   -150.4577

q                                                               -942.4230
H2O                                                             -344.6261
sph                                                            -2704.2677

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

g ep mu pa bi chl q H2O sph  {6.3200, 496.037}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90833   0.32851   0.27511   0.00267
ep        f(ep)     Q(ep)
        0.01517   0.01475
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40206   0.92778   0.00021   0.21819   0.00775
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40206   0.99845   0.00003   0.86889   0.05967
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55398   0.00658   0.08650   0.00259   0.06364   0.17191
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41101   0.55517   0.00819   0.00842   0.43659   0.10236   0.06919

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.03634   0.36004   0.27511   0.32851   0.99733   0.00267
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00043   0.99957   0.02992   0.97008
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.77405   0.21819   0.00775   0.04318   0.02904   0.92778   0.99979   0.00021   0.53223   0.46777
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.07144   0.86889   0.05967   0.00093   0.00062   0.99845   0.99997   0.00003   0.47094   0.52906
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26766   0.00658   0.57304   0.00259   0.06364   0.08650   0.49674   0.00658   0.49668   0.45546   0.54454   0.93636   0.06364
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60354   0.00842   0.26945   0.11859   0.56169   0.00842   0.42988   0.00004   0.00002   0.00819   0.99176   0.44073   0.55927

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    0.997332    0.985524    0.109012    1.085467           0           0           0    0.825333    0.002668
ep        0.500000    3.000000    1.484825           2           0    0.030349           0           0           0           0    0.015175
mu        1.000000    3.064469    1.431553    0.007751    0.043183    0.029242    0.387027    0.109097           0           0    0.000103
pa        1.000000    2.941882    1.528270    0.059667    0.000926    0.000652    0.035722    0.434445           0           0    0.000015
bi        0.936363    2.910918    0.587789           0    1.261146    1.568981    0.500000           0    0.063637    0.019740    0.001293
chl              4    2.881465    1.114442           0    2.850342    1.997187           0           0           0    0.042122    0.004093
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         chl           q         H2O         sph
1       0.00113379  0.01180875  0.06432188  0.14120107  0.12941632              0.20239933  0.44396302  0.00575585

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13973554  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6155.5055  -5590.7045      0.7343    12.02642     3.97601
ep            -7134.6286  -6588.5200      0.7100    13.74416     3.31212
mu            -6188.5302  -5661.1999      0.6856    14.00966     2.82367
pa            -6192.6746  -5678.3134      0.6687    13.39108     2.86988
bi            -5974.8844  -5346.3024      0.8172    15.27560     3.06926
chl           -8631.3468  -7724.7103      1.1787    21.39199     2.89934
q              -942.1641   -868.4296      0.0959     2.28372     2.63080
H2O            -344.5203   -245.2875      0.1290     1.96744     0.91566
sph           -2703.7639  -2484.6247      0.2849     5.58096     3.51266

sys           -662.07375  -573.63531     0.11498     2.08030     2.01306

                    ideal       gamma    activity        prop               0         RT ln a
g     py       4.77248e-5     4.63158 0.000221041    0.033669   -6517.15763673    -53.83051662    -6517.1576    -53.8305
      alm       0.0464242     1.22749   0.0569855     0.36004   -5554.80523151    -18.32235363    -5554.8052    -18.3224
      spss      0.0207111    0.981804   0.0203342     0.27511   -5979.10874164    -24.91267251    -5979.1087    -24.9127
      gr        0.0352629     1.13465   0.0400109     0.32851   -6860.38686176    -20.58402241    -6860.3869    -20.5840
      kho     3.41548e-10     2.23650 7.63870e-10   0.0026680   -5663.70312113   -134.25471016    -5663.7031   -134.2547

ep    cz         0.969664     1.00014    0.969801     0.97008   -7146.16289797      0.19610635    -7146.1629     -0.1961
      ep        0.0299100     1.15844   0.0346490    0.029496   -6738.33972902    -21.50419923    -6738.3397    -21.5042
      fep      1.27589e-5     1.57615  2.01099e-5  0.00042639   -6304.16789103    -69.16098792    -6304.1679    -69.1610

mu    mu         0.715021    0.997730    0.713398     0.70163   -6211.98954205     -2.15980456    -6211.9895     -2.1598
      cel      0.00946680     2.80536   0.0265578    0.043183   -6069.88040194    -23.20501978    -6069.8804    -23.2050
      fcel     0.00636546     2.80536   0.0178574    0.029036   -5734.72195208    -25.74335384    -5734.7220    -25.7434
      pa         0.201554     4.46725    0.900391     0.21819   -6171.68995879      0.67103505    -6171.6900     -0.6710
      mat      0.00157305     118.844    0.186947   0.0077505   -6458.85935581    -10.72451172    -6458.8594    -10.7245
      fmu     0.000147334     1.49056 0.000219610  0.00020601   -5773.76228425    -53.87204068    -5773.7623    -53.8720

pa    mu        0.0710899     10.0346    0.713362    0.069865   -6211.98954205     -2.16013042    -6211.9895     -2.1601
      cel      1.46792e-5     1808.91   0.0265533  0.00092644   -6069.88040194    -23.20609361    -6069.8804    -23.2061
      fcel     9.87026e-6     1808.91   0.0178544  0.00062294   -5734.72195208    -25.74442767    -5734.7220    -25.7444
      pa         0.864588     1.04145    0.900421     0.86889   -6171.68995879      0.67082513    -6171.6900     -0.6708
      mat       0.0166747     11.2121    0.186959    0.059667   -6458.85935581    -10.72411727    -6458.8594    -10.7241
      fmu      2.07458e-6     105.846 0.000219586   2.9182e-5   -5773.76228425    -53.87274766    -5773.7623    -53.8727

bi    phl       0.0574480     1.94848    0.111936     0.26766   -6477.55035377    -14.00464771    -6477.5504    -14.0046
      annm       0.122960     1.45080    0.178389     0.49668   -5482.67042247    -11.02418257    -5482.6704    -11.0242
      obi        0.122993     1.45336    0.178754    0.076367   -6147.92371001    -11.01112693    -6147.9237    -11.0111
      east     0.00554899     3.74307   0.0207703    0.086497   -6587.84223207    -24.77698685    -6587.8422    -24.7770
      tbi      6.30856e-5     47.2937  0.00298355    0.063637   -6427.48713954    -37.18654226    -6427.4871    -37.1865
      fbi     0.000165854     3.07235 0.000509562   0.0025853   -6177.61497427    -48.48911131    -6177.6150    -48.4891
      mmbi     2.47790e-7     1.97936  4.90467e-7   0.0065799   -5831.67778032    -92.91074253    -5831.6778    -92.9107

chl   clin      0.0587435     1.80856    0.106241     0.43488   -9275.36420638    -14.33859079    -9275.3642    -14.3386
      afchl    4.08752e-7     18.3845  7.51470e-6     0.16045   -9093.18284372    -75.45623020    -9093.1828    -75.4562
      ames     0.00366168     10.1476   0.0371574     0.11859   -9389.70997921    -21.05721362    -9389.7100    -21.0572
      daph     0.00899791     2.92407   0.0263105     0.42987   -7603.33746443    -23.26483363    -7603.3375    -23.2648
      ochl1    7.28301e-8     15.9853  1.16421e-6   1.8191e-5   -7418.15610177    -87.38236990    -7418.1561    -87.3824
      ochl4    1.82486e-7     21.4027  3.90570e-6    -0.16042   -8756.37749533    -79.64148806    -8756.3775    -79.6415
      f3clin  0.000484834     2.45985  0.00119262   0.0081854   -8860.13694858    -43.05079923    -8860.1369    -43.0508
      mmchl   4.14912e-11     1.05158 4.36313e-11   0.0084244   -8192.19645006   -152.56212152    -8192.1965   -152.5621

q                                                               -942.1641
H2O                                                             -344.5203
sph                                                            -2703.7639

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

g ep mu pa bi chl q H2O sph  {6.5400, 498.547}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90777   0.32799   0.26462   0.00271
ep        f(ep)     Q(ep)
        0.01522   0.01479
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40342   0.92496   0.00021   0.21522   0.00776
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40342   0.99838   0.00003   0.86994   0.05958
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55379   0.00630   0.08593   0.00258   0.06441   0.17097
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41202   0.55475   0.00825   0.00800   0.43695   0.10227   0.06927

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.03757   0.36982   0.26462   0.32799   0.99729   0.00271
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00043   0.99957   0.03000   0.97000
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.77702   0.21522   0.00776   0.04477   0.03027   0.92496   0.99979   0.00021   0.53364   0.46636
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.07048   0.86994   0.05958   0.00097   0.00065   0.99838   0.99997   0.00003   0.47102   0.52898
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26816   0.00630   0.57261   0.00258   0.06441   0.08593   0.49690   0.00630   0.49680   0.45574   0.54426   0.93559   0.06441
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60341   0.00800   0.27079   0.11780   0.56093   0.00800   0.43108   0.00004   0.00002   0.00825   0.99169   0.44113   0.55887

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    0.997294    0.983964    0.112723    1.114867           0           0           0    0.793859    0.002706
ep        0.500000    3.000000    1.484782           2           0    0.030435           0           0           0           0    0.015218
mu               1    3.067283    1.428732    0.007757    0.044768    0.030485    0.388512    0.107609           0           0    0.000106
pa               1    2.942037    1.528156    0.059585    0.000967    0.000684    0.035238    0.434970           0           0    0.000015
bi        0.935586    2.911488    0.587223           0    1.261968    1.568774    0.500000           0    0.064414    0.018909    0.001289
chl              4    2.882254    1.113621           0    2.847153    2.003373           0           0           0    0.039978    0.004125
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         chl           q         H2O         sph
1       0.00130696  0.01176507  0.06449889  0.14120692  0.12920684              0.20231219  0.44397938  0.00572377

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13974547  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6150.7024  -5582.8470      0.7359    12.02206     3.97694
ep            -7133.3555  -6584.2844      0.7115    13.74262     3.31251
mu            -6186.5416  -5656.2274      0.6872    14.00712     2.82477
pa            -6191.3248  -5674.1986      0.6701    13.38573     2.87091
bi            -5973.7130  -5341.9742      0.8186    15.27007     3.07026
chl           -8627.8505  -7716.2515      1.1813    21.38827     2.90045
q              -941.9026   -867.7751      0.0961     2.28270     2.63197
H2O            -344.4123   -244.8917      0.1290     1.95633     0.92086
sph           -2703.2519  -2482.9340      0.2855     5.58000     3.51326

sys           -661.90534  -573.10538     0.11507     2.07477     2.01842

                    ideal       gamma    activity        prop               0         RT ln a
g     py       5.27612e-5     4.59169 0.000242263    0.034868   -6516.28825531    -53.41793490    -6516.2883    -53.4179
      alm       0.0503049     1.22114   0.0614296     0.36982   -5554.11731215    -17.90030226    -5554.1173    -17.9003
      spss      0.0184295    0.981623   0.0180908     0.26462   -5978.32580781    -25.74402807    -5978.3258    -25.7440
      gr        0.0350929     1.14064   0.0400286     0.32799   -6859.22103625    -20.64835076    -6859.2210    -20.6484
      kho     3.88523e-10     2.21059 8.58862e-10   0.0027063   -5662.87036412   -133.94070020    -5662.8704   -133.9407

ep    cz         0.969578     1.00014    0.969716     0.97000   -7144.91978886      0.19731290    -7144.9198     -0.1973
      ep        0.0299905     1.15786   0.0347248    0.029572   -6737.10927710    -21.56034683    -6737.1093    -21.5603
      fep      1.29570e-5     1.57376  2.03912e-5  0.00043185   -6302.92465003    -69.29752277    -6302.9247    -69.2975

mu    mu         0.715311    0.995014    0.711744     0.70177   -6210.58904566     -2.18174168    -6210.5890     -2.1817
      cel      0.00990396     2.76060   0.0273409    0.044768   -6068.49266778    -23.09426424    -6068.4927    -23.0943
      fcel     0.00669716     2.76060   0.0184882    0.030273   -5733.41953645    -25.60461038    -5733.4195    -25.6046
      pa         0.198125     4.54770    0.901013     0.21522   -6170.42619428      0.66879406    -6170.4262     -0.6688
      mat      0.00156021     118.457    0.184818   0.0077573   -6457.63004715    -10.83299989    -6457.6300    -10.8330
      fmu     0.000151829     1.47019 0.000223218  0.00021221   -5772.38010006    -53.94326190    -5772.3801    -53.9433

pa    mu        0.0701231     10.1494    0.711708    0.068824   -6210.58904566     -2.18206964    -6210.5890     -2.1821
      cel      1.51249e-5     1807.37   0.0273363  0.00096737   -6068.49266778    -23.09534066    -6068.4927    -23.0953
      fcel     1.02276e-5     1807.37   0.0184851  0.00065414   -5733.41953645    -25.60568680    -5733.4195    -25.6057
      pa         0.865584     1.04097    0.901043     0.86994   -6170.42619428      0.66858115    -6170.4262     -0.6686
      mat       0.0166456     11.1038    0.184829    0.059585   -6457.63004715    -10.83260443    -6457.6300    -10.8326
      fmu      2.12006e-6     105.277 0.000223193   3.0233e-5   -5772.38010006    -53.94397033    -5772.3801    -53.9440

bi    phl       0.0575035     1.94429    0.111803     0.26816   -6476.08206795    -14.05796334    -6476.0821    -14.0580
      annm       0.122733     1.44949    0.177900     0.49680   -5481.37384972    -11.07777719    -5481.3738    -11.0778
      obi        0.122786     1.45186    0.178267    0.075810   -6146.51266187    -11.06453567    -6146.5127    -11.0645
      east     0.00550149     3.73646   0.0205561    0.085934   -6586.39984026    -24.92433655    -6586.3998    -24.9243
      tbi      6.54745e-5     46.4162  0.00303908    0.064414   -6426.04441063    -37.18955671    -6426.0444    -37.1896
      fbi     0.000165064     3.06862 0.000506519   0.0025783   -6176.19089467    -48.68574724    -6176.1909    -48.6857
      mmbi     2.17458e-7     1.97573  4.29639e-7   0.0063029   -5830.44047042    -94.06346576    -5830.4405    -94.0635

chl   clin      0.0584186     1.80845    0.105647     0.43484   -9273.38978479    -14.42137721    -9273.3898    -14.4214
      afchl    4.23619e-7     18.2846  7.74569e-6     0.16031   -9091.11933896    -75.50817088    -9091.1193    -75.5082
      ames     0.00361223     10.1216   0.0365614     0.11780   -9387.76582514    -21.22966014    -9387.7658    -21.2297
      daph     0.00914473     2.90388   0.0265552     0.43106   -7601.71596259    -23.28135224    -7601.7160    -23.2814
      ochl1    7.70620e-8     15.8292  1.21983e-6   1.9005e-5   -7416.44551676    -87.36804318    -7416.4455    -87.3680
      ochl4    1.90103e-7     21.2657  4.04267e-6    -0.16027   -8754.38457452    -79.68017525    -8754.3846    -79.6802
      f3clin  0.000486007     2.45713  0.00119418   0.0082503   -8858.18083920    -43.18287161    -8858.1808    -43.1829
      mmchl   3.19588e-11     1.05056 3.35745e-11   0.0079957   -8190.34325724   -154.74098481    -8190.3433   -154.7410

q                                                               -941.9026
H2O                                                             -344.4123
sph                                                            -2703.2519

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

g ep mu pa bi chl q H2O sph  {6.7600, 501.019}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90722   0.32748   0.25394   0.00275
ep        f(ep)     Q(ep)
        0.01527   0.01483
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40473   0.92208   0.00022   0.21229   0.00776
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40473   0.99830   0.00003   0.87103   0.05946
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55356   0.00602   0.08535   0.00257   0.06518   0.17005
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41298   0.55430   0.00832   0.00757   0.43732   0.10218   0.06932

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.03884   0.37974   0.25394   0.32748   0.99725   0.00275
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00044   0.99956   0.03009   0.96991
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.77995   0.21229   0.00776   0.04638   0.03154   0.92208   0.99978   0.00022   0.53508   0.46492
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06951   0.87103   0.05946   0.00101   0.00069   0.99830   0.99997   0.00003   0.47112   0.52888
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26870   0.00602   0.57217   0.00257   0.06518   0.08535   0.49710   0.00602   0.49688   0.45604   0.54396   0.93482   0.06518
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60335   0.00757   0.27209   0.11698   0.56021   0.00757   0.43222   0.00004   0.00002   0.00832   0.99163   0.44154   0.55846

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    0.997254    0.982445    0.116512    1.144719           0           0           0    0.761816    0.002746
ep        0.500000           3    1.484735           2           0    0.030530           0           0           0           0    0.015265
mu               1    3.070159    1.425851    0.007762    0.046384    0.031755    0.389975    0.106144           0           0    0.000109
pa               1    2.942237    1.528018    0.059459    0.001009    0.000718    0.034755    0.435516           0           0    0.000016
bi        0.934816    2.912078    0.586637           0    1.262900    1.568496    0.500000           0    0.065184    0.018069    0.001286
chl              4    2.883075    1.112766           0    2.844230    2.009307           0           0           0    0.037854    0.004158
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         chl           q         H2O         sph
1       0.00149689  0.01171512  0.06470013  0.14119778  0.12898044              0.20222023  0.44399685  0.00569255

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13975531  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6145.8256  -5574.9709      0.7374    12.01764     3.97787
ep            -7132.0566  -6580.0633      0.7130    13.74107     3.31291
mu            -6184.5124  -5651.2516      0.6888    14.00454     2.82589
pa            -6189.9411  -5670.0895      0.6715    13.38039     2.87193
bi            -5972.5388  -5337.6922      0.8200    15.26453     3.07125
chl           -8624.3925  -7707.9044      1.1838    21.38454     2.90152
q              -941.6382   -867.1232      0.0963     2.28168     2.63314
H2O            -344.3019   -244.4995      0.1289     1.94558     0.92595
sph           -2702.7310  -2481.2504      0.2861     5.57904     3.51387

sys           -661.73409  -572.57856     0.11516     2.06939     2.02367

                    ideal       gamma    activity        prop               0         RT ln a
g     py       5.82584e-5     4.55283 0.000265240    0.036092   -6515.39815610    -53.00582940    -6515.3982    -53.0058
      alm       0.0544602     1.21483   0.0661598     0.37974   -5553.40553944    -17.48016935    -5553.4055    -17.4802
      spss      0.0162854    0.981463   0.0159835     0.25394   -5977.51944402    -26.62368034    -5977.5194    -26.6237
      gr        0.0349280     1.14685   0.0400572     0.32748   -6858.03494207    -20.70990183    -6858.0349    -20.7099
      kho     4.41591e-10     2.18462 9.64707e-10   0.0027456   -5662.01406146   -133.62176892    -5662.0141   -133.6218

ep    cz         0.969483     1.00014    0.969622     0.96991   -7143.65434923      0.19857025    -7143.6543     -0.1986
      ep        0.0300795     1.15729   0.0348106    0.029655   -6735.85539076    -21.61353648    -6735.8554    -21.6135
      fep      1.31626e-5     1.57141  2.06839e-5  0.00043740   -6301.65717754    -69.42778406    -6301.6572    -69.4278

mu    mu         0.715480    0.992384    0.710031     0.70181   -6209.16785765     -2.20424191    -6209.1679     -2.2042
      cel       0.0103557     2.71762   0.0281428    0.046384   -6067.08384529    -22.98218981    -6067.0838    -22.9822
      fcel     0.00704078     2.71762   0.0191342    0.031536   -5732.09442736    -25.46558874    -5732.0944    -25.4656
      pa         0.194740     4.63009    0.901664     0.21229   -6169.14214420      0.66628838    -6169.1421     -0.6663
      mat      0.00154660     118.107    0.182664   0.0077615   -6456.38042451    -10.94315746    -6456.3804    -10.9432
      fmu     0.000156386     1.45054 0.000226845  0.00021853   -5770.97581033    -54.01234755    -5770.9758    -54.0123

pa    mu        0.0691583     10.2662    0.709995    0.067783   -6209.16785765     -2.20457196    -6209.1679     -2.2046
      cel      1.55723e-5     1806.93   0.0281381   0.0010094   -6067.08384529    -22.98326885    -6067.0838    -22.9833
      fcel     1.05876e-5     1806.93   0.0191309  0.00068628   -5732.09442736    -25.46666779    -5732.0944    -25.4667
      pa         0.866626     1.04047    0.901694     0.87103   -6169.14214420      0.66607247    -6169.1421     -0.6661
      mat       0.0166028     11.0027    0.182675    0.059459   -6456.38042451    -10.94276107    -6456.3804    -10.9428
      fmu      2.16520e-6     104.757 0.000226820   3.1307e-5   -5770.97581033    -54.01305745    -5770.9758    -54.0131

bi    phl       0.0575752     1.94006    0.111699     0.26870   -6474.59098770    -14.10901225    -6474.5910    -14.1090
      annm       0.122491     1.44830    0.177404     0.49688   -5480.05064017    -11.13125416    -5480.0506    -11.1313
      obi        0.122602     1.45033    0.177814    0.075296   -6145.07753852    -11.11639404    -6145.0775    -11.1164
      east     0.00545362     3.73010   0.0203425    0.085351   -6584.93493999    -25.07141236    -6584.9349    -25.0714
      tbi      6.79126e-5     45.5686  0.00309469    0.065184   -6424.58009506    -37.19198675    -6424.5801    -37.1920
      fbi     0.000164294     3.06502 0.000503563   0.0025712   -6174.74289267    -48.87941051    -6174.7429    -48.8794
      mmbi     1.89461e-7     1.97224  3.73662e-7   0.0060230   -5829.17604757    -95.26334917    -5829.1760    -95.2633

chl   clin      0.0581224     1.80811    0.105092     0.43487   -9271.38222327    -14.50150594    -9271.3822    -14.5015
      afchl    4.38974e-7     18.1872  7.98371e-6     0.16015   -9089.02260117    -75.55526821    -9089.0226    -75.5553
      ames     0.00356334     10.0974   0.0359805     0.11698   -9385.78949760    -21.40076133    -9385.7895    -21.4008
      daph     0.00928759     2.88463   0.0267913     0.43220   -7600.05474847    -23.29896341    -7600.0547    -23.2990
      ochl1    8.14438e-8     15.6807  1.27710e-6   1.9840e-5   -7414.69512636    -87.35262335    -7414.6951    -87.3526
      ochl4    1.97962e-7     21.1338  4.18368e-6    -0.16011   -8752.35710621    -79.71476914    -8752.3571    -79.7148
      f3clin  0.000487475     2.45416  0.00119634   0.0083168   -8856.19017595    -43.30958755    -8856.1902    -43.3096
      mmchl   2.43277e-11     1.04959 2.55341e-11   0.0075709   -8188.45046542   -156.99883010    -8188.4505   -156.9988

q                                                               -941.6382
H2O                                                             -344.3019
sph                                                            -2702.7310

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

g ep mu pa bi chl q H2O sph  {6.9800, 503.451}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90667   0.32700   0.24308   0.00279
ep        f(ep)     Q(ep)
        0.01532   0.01487
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40598   0.91914   0.00022   0.20940   0.00776
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40598   0.99823   0.00003   0.87217   0.05928
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55330   0.00574   0.08474   0.00256   0.06595   0.16915
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41388   0.55384   0.00839   0.00715   0.43772   0.10209   0.06936

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.04012   0.38980   0.24308   0.32700   0.99721   0.00279
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00044   0.99956   0.03019   0.96981
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.78284   0.20940   0.00776   0.04803   0.03283   0.91914   0.99978   0.00022   0.53655   0.46345
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06854   0.87217   0.05928   0.00105   0.00072   0.99823   0.99997   0.00003   0.47124   0.52876
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26926   0.00574   0.57174   0.00256   0.06595   0.08474   0.49735   0.00574   0.49691   0.45635   0.54365   0.93405   0.06595
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60337   0.00715   0.27336   0.11612   0.55955   0.00715   0.43330   0.00004   0.00002   0.00839   0.99155   0.44197   0.55803

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    0.997214    0.980989    0.120375    1.174965           0           0           0    0.729243    0.002786
ep        0.500000           3    1.484683           2           0    0.030635           0           0           0           0    0.015317
mu        1.000000    3.073101    1.422905    0.007762    0.048035    0.033054    0.391419    0.104700           0           0    0.000112
pa               1    2.942490    1.527853    0.059282    0.001052    0.000752    0.034272    0.436087           0           0    0.000016
bi        0.934055    2.912693    0.586025           0    1.263957    1.568133    0.500000           0    0.065945    0.017222    0.001282
chl       4.000000    2.883937    1.111871           0    2.841604    2.014965           0           0           0    0.035753    0.004193
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         chl           q         H2O         sph
1       0.00170584  0.01165797  0.06492807  0.14117244  0.12873488              0.20212285  0.44401558  0.00566237

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13976504  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6140.8846  -5567.0910      0.7389    12.01318     3.97879
ep            -7130.7289  -6575.8578      0.7145    13.73950     3.31331
mu            -6182.4395  -5646.2731      0.6904    14.00194     2.82700
pa            -6188.5194  -5665.9862      0.6728    13.37505     2.87295
bi            -5971.3619  -5333.4612      0.8214    15.25898     3.07223
chl           -8620.9758  -7699.6795      1.1863    21.38078     2.90255
q              -941.3707   -866.4743      0.0964     2.28067     2.63432
H2O            -344.1885   -244.1055      0.1289     1.93520     0.93091
sph           -2702.2001  -2479.5746      0.2867     5.57807     3.51448

sys           -661.55956  -572.05259     0.11525     2.06418     2.02878

                    ideal       gamma    activity        prop               0         RT ln a
g     py       6.42422e-5     4.51509 0.000290059    0.037339   -6514.48502168    -52.59476524    -6514.4850    -52.5948
      alm       0.0588971     1.20856   0.0711805     0.38980   -5552.66729496    -17.06277531    -5552.6673    -17.0628
      spss      0.0142834    0.981327   0.0140166     0.24308   -5976.68708129    -27.55518133    -5976.6871    -27.5552
      gr        0.0347701     1.15326   0.0400989     0.32700   -6856.82629654    -20.76824057    -6856.8263    -20.7682
      kho     5.01485e-10     2.15857  1.08249e-9   0.0027862   -5661.13164118   -133.29768823    -5661.1316   -133.2977

ep    cz         0.969378     1.00014    0.969517     0.96981   -7142.36407702      0.19988792    -7142.3641     -0.1999
      ep        0.0301785     1.15672   0.0349081    0.029749   -6734.57545983    -21.66336190    -6734.5755    -21.6634
      fep      1.33772e-5     1.56912  2.09904e-5  0.00044307   -6300.36279353    -69.55091150    -6300.3628    -69.5509

mu    mu         0.715530    0.989835    0.708256     0.70175   -6207.72357198     -2.22732738    -6207.7236     -2.2273
      cel       0.0108231     2.67625   0.0289653    0.048035   -6065.65153356    -22.86837999    -6065.6515    -22.8684
      fcel     0.00739692     2.67625   0.0197960    0.032829   -5730.74407785    -25.32600321    -5730.7441    -25.3260
      pa         0.191395     4.71460    0.902349     0.20940   -6167.83546118      0.66347948    -6167.8355     -0.6635
      mat      0.00153209     117.797    0.180475   0.0077624   -6455.10816803    -11.05537503    -6455.1082    -11.0554
      fmu     0.000161010     1.43156 0.000230496  0.00022497   -5769.54688173    -54.07892312    -5769.5469    -54.0789

pa    mu        0.0681942     10.3853    0.708220    0.066740   -6207.72357198     -2.22765952    -6207.7236     -2.2277
      cel      1.60202e-5     1807.74   0.0289604   0.0010525   -6065.65153356    -22.86946172    -6065.6515    -22.8695
      fcel     1.09489e-5     1807.74   0.0197927  0.00071932   -5730.74407785    -25.32708494    -5730.7441    -25.3271
      pa         0.867721     1.03994    0.902380     0.87217   -6167.83546118      0.66326053    -6167.8355     -0.6633
      mat       0.0165443     10.9093    0.180486    0.059282   -6455.10816803    -11.05497771    -6455.1082    -11.0550
      fmu      2.20987e-6     104.291 0.000230470   3.2405e-5   -5769.54688173    -54.07963453    -5769.5469    -54.0796

bi    phl       0.0576658     1.93576    0.111627     0.26926   -6473.07452003    -14.15749175    -6473.0745    -14.1575
      annm       0.122232     1.44724    0.176899     0.49691   -5478.69783893    -11.18462699    -5478.6978    -11.1846
      obi        0.122445     1.44878    0.177396    0.074830   -6143.61562633    -11.16650476    -6143.6156    -11.1665
      east     0.00540518     3.72401   0.0201290    0.084743   -6583.44496713    -25.21831619    -6583.4450    -25.2183
      tbi      7.03952e-5     44.7507  0.00315023    0.065945   -6423.09175478    -37.19394227    -6423.0918    -37.1939
      fbi     0.000163544     3.06155 0.000500697   0.0025641   -6173.26827688    -49.06980647    -6173.2683    -49.0698
      mmbi     1.63802e-7     1.96889  3.22508e-7   0.0057407   -5827.88153040    -96.51321371    -5827.8815    -96.5132

chl   clin      0.0578578     1.80752    0.104579     0.43500   -9269.33771165    -14.57863086    -9269.3377    -14.5786
      afchl    4.54858e-7     18.0926  8.22958e-6     0.15996   -9086.88881360    -75.59674920    -9086.8888    -75.5967
      ames     0.00351484     10.0755   0.0354137     0.11612   -9383.77727009    -21.57052087    -9383.7773    -21.5705
      daph     0.00942567     2.86638   0.0270175     0.43328   -7598.34939748    -23.31785923    -7598.3494    -23.3179
      ochl1    8.59698e-8     15.5404  1.33600e-6   2.0693e-5   -7412.90049943    -87.33587561    -7412.9005    -87.3359
      ochl4    2.06072e-7     21.0075  4.32906e-6    -0.15993   -8750.29115077    -79.74460438    -8750.2912    -79.7446
      f3clin  0.000489289     2.45091  0.00119920   0.0083853   -8854.16102140    -43.43020434    -8854.1610    -43.4302
      mmchl   1.82874e-11     1.04867 1.91776e-11   0.0071506   -8186.51368444   -159.34045004    -8186.5137   -159.3405

q                                                               -941.3707
H2O                                                             -344.1885
sph                                                            -2702.2001

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

g ep mu pa bi chl q H2O sph  {7.2000, 505.838}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90613   0.32654   0.23207   0.00283
ep        f(ep)     Q(ep)
        0.01538   0.01493
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40717   0.91613   0.00023   0.20655   0.00776
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40717   0.99815   0.00003   0.87337   0.05905
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55299   0.00546   0.08411   0.00256   0.06669   0.16828
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41472   0.55335   0.00846   0.00674   0.43813   0.10201   0.06938

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.04143   0.39996   0.23207   0.32654   0.99717   0.00283
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00045   0.99955   0.03030   0.96970
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.78569   0.20655   0.00776   0.04972   0.03415   0.91613   0.99977   0.00023   0.53806   0.46194
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06758   0.87337   0.05905   0.00110   0.00075   0.99815   0.99997   0.00003   0.47140   0.52860
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.26987   0.00546   0.57132   0.00256   0.06669   0.08411   0.49764   0.00546   0.49690   0.45667   0.54333   0.93331   0.06669
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60347   0.00674   0.27457   0.11522   0.55895   0.00674   0.43432   0.00004   0.00002   0.00846   0.99148   0.44242   0.55758

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    0.997172    0.979619    0.124305    1.205536           0           0           0    0.696197    0.002828
ep        0.500000    3.000000    1.484624           2           0    0.030752           0           0           0           0    0.015376
mu               1    3.076115    1.419890    0.007759    0.049723    0.034383    0.392847    0.103273           0           0    0.000116
pa               1    2.942801    1.527658    0.059049    0.001097    0.000787    0.033788    0.436687           0           0    0.000017
bi        0.933306    2.913338    0.585384           0    1.265157    1.567673    0.500000           0    0.066694    0.016370    0.001278
chl              4    2.884846    1.110925           0    2.839311    2.020313           0           0           0    0.033678    0.004228
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         chl           q         H2O         sph
1       0.00193646  0.01159247  0.06518564  0.14112948  0.12846750              0.20201932  0.44403572  0.00563341

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13977461  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6135.8908  -5559.2259      0.7403    12.00869     3.97969
ep            -7129.3687  -6571.6690      0.7159    13.73792     3.31371
mu            -6180.3188  -5641.2929      0.6920    13.99932     2.82813
pa            -6187.0545  -5661.8887      0.6742    13.36971     2.87396
bi            -5970.1823  -5329.2872      0.8227    15.25340     3.07318
chl           -8617.6038  -7691.5896      1.1887    21.37700     2.90355
q              -941.0995   -865.8286      0.0966     2.27964     2.63550
H2O            -344.0714   -243.7121      0.1288     1.92514     0.93578
sph           -2701.6581  -2477.9074      0.2872     5.57710     3.51509

sys           -661.38125  -571.52872     0.11535     2.05911     2.03378

                    ideal       gamma    activity        prop               0         RT ln a
g     py       7.07355e-5     4.47858 0.000316795    0.038607   -6513.54602028    -52.18538455    -6513.5460    -52.1854
      alm       0.0636193     1.20235   0.0764926     0.39996   -5551.89937721    -16.64905691    -5551.8994    -16.6491
      spss      0.0124272    0.981215   0.0121937     0.23207   -5975.82557842    -28.54225966    -5975.8256    -28.5423
      gr        0.0346217     1.15985   0.0401560     0.32654   -6855.59231088    -20.82285711    -6855.5923    -20.8229
      kho     5.69016e-10     2.13242  1.21338e-9   0.0028282   -5660.21995840   -132.96814743    -5660.2200   -132.9681

ep    cz         0.969262     1.00014    0.969401     0.96970   -7141.04591421      0.20127731    -7141.0459     -0.2013
      ep        0.0302893     1.15617   0.0350195    0.029854   -6733.26629392    -21.70933391    -6733.2663    -21.7093
      fep      1.36024e-5     1.56687  2.13131e-5  0.00044888   -6299.03822180    -69.66586877    -6299.0382    -69.6659

mu    mu         0.715459    0.987360    0.706416     0.70159   -6206.25324823     -2.25102423    -6206.2532     -2.2510
      cel       0.0113075     2.63636   0.0298106    0.049723   -6064.19279819    -22.75234876    -6064.1928    -22.7523
      fcel     0.00776630     2.63636   0.0204747    0.034151   -5729.36537381    -25.18552245    -5729.3654    -25.1855
      pa         0.188083     4.80147    0.903073     0.20655   -6166.50327678      0.66032212    -6166.5033     -0.6603
      mat      0.00151649     117.534    0.178239   0.0077591   -6453.81044343    -11.17010571    -6453.8104    -11.1701
      fmu     0.000165708     1.41319 0.000234177  0.00023156   -5768.09021730    -54.14253835    -5768.0902    -54.1425

pa    mu        0.0672288     10.5071    0.706380    0.065693   -6206.25324823     -2.25135845    -6206.2532     -2.2514
      cel      1.64673e-5     1809.99   0.0298057   0.0010966   -6064.19279819    -22.75343325    -6064.1928    -22.7534
      fcel     1.13102e-5     1809.99   0.0204713  0.00075319   -5729.36537381    -25.18660694    -5729.3654    -25.1866
      pa         0.868878     1.03939    0.903104     0.87337   -6166.50327678      0.66010010    -6166.5033     -0.6601
      mat       0.0164681     10.8239    0.178250    0.059049   -6453.81044343    -11.16970749    -6453.8104    -11.1697
      fmu      2.25392e-6     103.886 0.000234151   3.3525e-5   -5768.09021730    -54.14325131    -5768.0902    -54.1433

bi    phl       0.0577783     1.93139    0.111592     0.26987   -6471.52949484    -14.20304359    -6471.5295    -14.2030
      annm       0.121952     1.44633    0.176383     0.49690   -5477.31183090    -11.23790740    -5477.3118    -11.2379
      obi        0.122318     1.44719    0.177018    0.074420   -6142.12360686    -11.21463290    -6142.1236    -11.2146
      east     0.00535598     3.71821   0.0199147    0.084105   -6581.92678713    -25.36516042    -6581.9268    -25.3652
      tbi      7.29160e-5     43.9622  0.00320555    0.066694   -6421.57640881    -37.19553926    -6421.5764    -37.1955
      fbi     0.000162816     3.05822 0.000497927   0.0025567   -6171.76375619    -49.25657106    -6171.7638    -49.2566
      mmbi     1.40464e-7     1.96569  2.76109e-7   0.0054567   -5826.55327082    -97.81595627    -5826.5533    -97.8160

chl   clin      0.0576281     1.80664    0.104113     0.43524   -9267.25159499    -14.65234159    -9267.2516    -14.6523
      afchl    4.71324e-7     18.0010  8.48430e-6     0.15976   -9084.71331314    -75.63170554    -9084.7133    -75.6317
      ames     0.00346653     10.0561   0.0348598     0.11522   -9381.72459087    -21.73893138    -9381.7246    -21.7389
      daph     0.00955800     2.84916   0.0272323     0.43429   -7596.59449955    -23.33825941    -7596.5945    -23.3383
      ochl1    9.06320e-8     15.4084  1.39649e-6   2.1564e-5   -7411.05621770    -87.31752174    -7411.0562    -87.3175
      ochl4    2.14447e-7     20.8873  4.47922e-6    -0.15972   -8748.18189405    -79.76889868    -8748.1819    -79.7689
      f3clin  0.000491512     2.44733  0.00120289   0.0084564   -8852.08856406    -43.54383520    -8852.0886    -43.5438
      mmchl   1.35639e-11     1.04783 1.42126e-11   0.0067357   -8184.52754539   -161.77077683    -8184.5275   -161.7708

q                                                               -941.0995
H2O                                                             -344.0714
sph                                                            -2701.6581

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

g ep mu pa bi chl q H2O sph  {7.4200, 508.176}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90559   0.32612   0.22091   0.00287
ep        f(ep)     Q(ep)
        0.01544   0.01499
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40829   0.91304   0.00024   0.20372   0.00775
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40829   0.99807   0.00003   0.87464   0.05875
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55264   0.00517   0.08343   0.00255   0.06743   0.16743
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41547   0.55283   0.00853   0.00633   0.43858   0.10192   0.06937

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.04276   0.41020   0.22091   0.32612   0.99713   0.00287
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00045   0.99955   0.03043   0.96957
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.78853   0.20372   0.00775   0.05145   0.03550   0.91304   0.99976   0.00024   0.53960   0.46040
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06661   0.87464   0.05875   0.00114   0.00079   0.99807   0.99997   0.00003   0.47159   0.52841
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27052   0.00517   0.57090   0.00255   0.06743   0.08343   0.49800   0.00517   0.49683   0.45701   0.54299   0.93257   0.06743
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60368   0.00633   0.27574   0.11425   0.55842   0.00633   0.43526   0.00004   0.00002   0.00853   0.99140   0.44291   0.55709

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    0.997128    0.978365    0.128292    1.236344           0           0           0    0.662744    0.002872
ep        0.500000           3    1.484559           2           0    0.030883           0           0           0           0    0.015441
mu        1.000000    3.079208    1.416798    0.007750    0.051454    0.035743    0.394263    0.101862           0           0    0.000119
pa               1    2.943179    1.527428    0.058750    0.001142    0.000823    0.033303    0.437322           0           0    0.000017
bi        0.932572    2.914018    0.584707           0    1.266523    1.567101    0.500000           0    0.067428    0.015515    0.001275
chl       4.000000    2.885815    1.109920           0    2.837395    2.025317           0           0           0    0.031633    0.004265
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         chl           q         H2O         sph
1       0.00219187  0.01151727  0.06547623  0.14106723  0.12817522              0.20190880  0.44405746  0.00560592

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13978399  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6130.8587  -5551.3975      0.7416    12.00419     3.98058
ep            -7127.9713  -6567.4986      0.7173    13.73633     3.31413
mu            -6178.1454  -5636.3118      0.6935    13.99667     2.82926
pa            -6185.5407  -5657.7972      0.6754    13.36436     2.87496
bi            -5968.9998  -5325.1770      0.8240    15.24781     3.07412
chl           -8614.2805  -7683.6498      1.1911    21.37319     2.90451
q              -940.8242   -865.1864      0.0968     2.27862     2.63669
H2O            -343.9501   -243.3218      0.1288     1.91541     0.94053
sph           -2701.1034  -2476.2498      0.2878     5.57613     3.51570

sys           -661.19855  -571.00826     0.11543     2.05417     2.03867

                    ideal       gamma    activity        prop               0         RT ln a
g     py       7.77559e-5     4.44347 0.000345506    0.039892   -6512.57772329    -51.77842316    -6512.5777    -51.7784
      alm       0.0686259     1.19622   0.0820919     0.41020   -5551.09790827    -16.24009079    -5551.0979    -16.2401
      spss      0.0107195    0.981129   0.0105172     0.22091   -5974.93113045    -29.58876429    -5974.9311    -29.5888
      gr        0.0344858     1.16661   0.0402315     0.32612   -6854.32960893    -20.87315307    -6854.3296    -20.8732
      kho     6.45077e-10     2.10614  1.35862e-9   0.0028720   -5659.27520362   -132.63273849    -5659.2752   -132.6327

ep    cz         0.969131     1.00014    0.969271     0.96957   -7139.69615774      0.20275223    -7139.6962     -0.2028
      ep        0.0304140     1.15562   0.0351470    0.029973   -6731.92402946    -21.75086444    -6731.9240    -21.7509
      fep      1.38403e-5     1.56467  2.16555e-5  0.00045486   -6297.67949446    -69.77140974    -6297.6795    -69.7714

mu    mu         0.715269    0.984953    0.704507     0.70133   -6204.75332600     -2.27536373    -6204.7533     -2.2754
      cel       0.0118107     2.59778   0.0306817    0.051454   -6062.70408583    -22.63352811    -6062.7041    -22.6335
      fcel     0.00814978     2.59778   0.0211713    0.035505   -5727.95454325    -25.04376097    -5727.9545    -25.0438
      pa         0.184798     4.89099    0.903844     0.20372   -6165.14211797      0.65676351    -6165.1421     -0.6568
      mat      0.00149961     117.326    0.175943   0.0077504   -6452.48381953    -11.28787721    -6452.4838    -11.2879
      fmu     0.000170489     1.39538 0.000237896  0.00023830   -5766.60206617    -54.20265258    -5766.6021    -54.2027

pa    mu        0.0662599     10.6319    0.704470    0.064641   -6204.75332600     -2.27570005    -6204.7533     -2.2757
      cel      1.69119e-5     1813.91   0.0306766   0.0011417   -6062.70408583    -22.63461547    -6062.7041    -22.6346
      fcel     1.16697e-5     1813.91   0.0211678  0.00078784   -5727.95454325    -25.04484832    -5727.9545    -25.0448
      pa         0.870108     1.03881    0.903875     0.87464   -6165.14211797      0.65653838    -6165.1421     -0.6565
      mat       0.0163719     10.7473    0.175953    0.058750   -6452.48381953    -11.28747815    -6452.4838    -11.2875
      fmu      2.29715e-6     103.550 0.000237870   3.4668e-5   -5766.60206617    -54.20336717    -5766.6021    -54.2034

bi    phl       0.0579165     1.92690    0.111599     0.27052   -6469.95207262    -14.24524503    -6469.9521    -14.2452
      annm       0.121650     1.44559    0.175855     0.49683   -5475.88823541    -11.29110528    -5475.8882    -11.2911
      obi        0.122226     1.44557    0.176686    0.074073   -6140.59746022    -11.26049992    -6140.5975    -11.2605
      east     0.00530577     3.71272   0.0196988    0.083433   -6580.37660376    -25.51207122    -6580.3766    -25.5121
      tbi      7.54670e-5     43.2033  0.00326042    0.067428   -6420.03044645    -37.19690291    -6420.0304    -37.1969
      fbi     0.000162114     3.05502 0.000495262   0.0025492   -6170.22534393    -49.43925853    -6170.2253    -49.4393
      mmbi     1.19411e-7     1.96264  2.34361e-7   0.0051717   -5825.18684763    -99.17447256    -5825.1868    -99.1745

chl   clin      0.0574376     1.80544    0.103700     0.43560   -9265.11823807    -14.72215354    -9265.1182    -14.7222
      afchl    4.88431e-7     17.9126  8.74905e-6     0.15953   -9082.49045446    -75.65907047    -9082.4905    -75.6591
      ames     0.00341822     10.0397   0.0343178     0.11425   -9379.62595042    -21.90597475    -9379.6260    -21.9060
      daph     0.00968348     2.83305   0.0274337     0.43523   -7594.78350140    -23.36041651    -7594.7835    -23.3604
      ochl1    9.54192e-8     15.2855  1.45853e-6   2.2451e-5   -7409.15571780    -87.29723214    -7409.1557    -87.2972
      ochl4    2.23101e-7     20.7737  4.63462e-6    -0.15949   -8746.02350713    -79.78673272    -8746.0235    -79.7867
      f3clin  0.000494214     2.44336  0.00120755   0.0085304   -8849.96697823    -43.64942359    -8849.9670    -43.6494
      mmchl   9.91817e-12     1.04704 1.03848e-11   0.0063267   -8182.48554402   -164.29475610    -8182.4855   -164.2948

q                                                               -940.8242
H2O                                                             -343.9501
sph                                                            -2701.1034

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

g ep mu pa bi chl q H2O sph  {7.6400, 510.458}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90506   0.32575   0.20966   0.00292
ep        f(ep)     Q(ep)
        0.01552   0.01505
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40934   0.90988   0.00025   0.20093   0.00774
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40934   0.99799   0.00004   0.87599   0.05838
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55222   0.00489   0.08272   0.00254   0.06814   0.16661
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41615   0.55227   0.00861   0.00592   0.43906   0.10185   0.06934

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.04411   0.42048   0.20966   0.32575   0.99708   0.00292
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00046   0.99954   0.03057   0.96943
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.79134   0.20093   0.00774   0.05323   0.03689   0.90988   0.99975   0.00025   0.54119   0.45881
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06563   0.87599   0.05838   0.00119   0.00082   0.99799   0.99996   0.00004   0.47182   0.52818
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27122   0.00489   0.57048   0.00254   0.06814   0.08272   0.49843   0.00489   0.49669   0.45737   0.54263   0.93186   0.06814
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60401   0.00592   0.27686   0.11321   0.55796   0.00592   0.43611   0.00004   0.00002   0.00861   0.99132   0.44343   0.55657

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    0.997082    0.977260    0.132324    1.267282           0           0           0    0.628969    0.002918
ep        0.500000           3    1.484485           2           0    0.031030           0           0           0           0    0.015515
mu               1    3.082388    1.413622    0.007735    0.053232    0.037137    0.395670    0.100463           0           0    0.000123
pa               1    2.943633    1.527160    0.058378    0.001188    0.000859    0.032814    0.437997           0           0    0.000018
bi        0.931856    2.914740    0.583990           0    1.268079    1.566399    0.500000           0    0.068144    0.014660    0.001271
chl       4.000000    2.886853    1.108843           0    2.835907    2.029932           0           0           0    0.029623    0.004304
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         chl           q         H2O         sph
1       0.00247569  0.01143074  0.06580386  0.14098383  0.12785442              0.20179031  0.44408100  0.00558014

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13979314  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6125.8057  -5543.6329      0.7429    11.99970     3.98143
ep            -7126.5313  -6563.3483      0.7187    13.73472     3.31455
mu            -6175.9134  -5631.3309      0.6950    13.99401     2.83039
pa            -6183.9709  -5653.7122      0.6767    13.35900     2.87596
bi            -5967.8140  -5321.1391      0.8253    15.24219     3.07503
chl           -8611.0104  -7675.8782      1.1934    21.36936     2.90541
q              -940.5442   -864.5481      0.0970     2.27759     2.63788
H2O            -343.8237   -242.9334      0.1288     1.90596     0.94519
sph           -2700.5342  -2474.6028      0.2883     5.57515     3.51632

sys           -661.01073  -570.49098     0.11552     2.04935     2.04346

                    ideal       gamma    activity        prop               0         RT ln a
g     py       8.53136e-5     4.40990 0.000376225    0.041190   -6511.57600543    -51.37472822    -6511.5760    -51.3747
      alm       0.0739102     1.19020   0.0879679     0.42048   -5550.25822073    -15.83711798    -5550.2582    -15.8371
      spss     0.00916191    0.981068  0.00898845     0.20966   -5973.99915771    -30.69857255    -5973.9992    -30.6986
      gr        0.0343660     1.17350   0.0403286     0.32575   -6853.03412889    -20.91842659    -6853.0341    -20.9184
      kho     7.30653e-10     2.07969  1.51953e-9   0.0029179   -5658.29279172   -132.29093630    -5658.2928   -132.2909

ep    cz         0.968984     1.00015    0.969125     0.96943   -7138.31035162      0.20432940    -7138.3104     -0.2043
      ep        0.0305552     1.15508   0.0352938    0.030108   -6730.54401714    -21.78724751    -6730.5440    -21.7872
      fep      1.40935e-5     1.56253  2.20215e-5  0.00046104   -6296.28183634    -69.86603822    -6296.2818    -69.8660

mu    mu         0.714958    0.982606    0.702523     0.70097   -6203.21952125     -2.30038365    -6203.2195     -2.3004
      cel       0.0123349     2.56037   0.0315819    0.053232   -6061.18112073    -22.51125468    -6061.1811    -22.5113
      fcel     0.00854844     2.56037   0.0218872    0.036891   -5726.50704631    -24.90027004    -5726.5070    -24.9003
      pa         0.181532     4.98352    0.904668     0.20093   -6163.74780606      0.65274245    -6163.7478     -0.6527
      mat      0.00148121     117.181    0.173570   0.0077354   -6451.12416829    -11.40930497    -6451.1242    -11.4093
      fmu     0.000175363     1.37808 0.000241664  0.00024522   -5765.07791439    -54.25861745    -5765.0779    -54.2586

pa    mu        0.0652848     10.7603    0.702486    0.063580   -6203.21952125     -2.30072208    -6203.2195     -2.3007
      cel      1.73520e-5     1819.77   0.0315766   0.0011878   -6061.18112073    -22.51234502    -6061.1811    -22.5123
      fcel     1.20254e-5     1819.77   0.0218835  0.00082316   -5726.50704631    -24.90136039    -5726.5070    -24.9014
      pa         0.871424     1.03819    0.904700     0.87599   -6163.74780606      0.65251414    -6163.7478     -0.6525
      mat       0.0162528     10.6801    0.173581    0.058378   -6451.12416829    -11.40890510    -6451.1242    -11.4089
      fmu      2.33937e-6     103.292 0.000241638   3.5832e-5   -5765.07791439    -54.25933375    -5765.0779    -54.2593

bi    phl       0.0580847     1.92228    0.111655     0.27122   -6468.33763269    -14.28359893    -6468.3376    -14.2836
      annm       0.121322     1.44502    0.175312     0.49669   -5474.42177851    -11.34422850    -5474.4218    -11.3442
      obi        0.122173     1.44389    0.176404    0.073798   -6139.03234796    -11.30377702    -6139.0323    -11.3038
      east     0.00525428     3.70756   0.0194806    0.082719   -6578.78984863    -25.65919199    -6578.7898    -25.6592
      tbi      7.80384e-5     42.4741  0.00331461    0.068144   -6418.44952208    -37.19817035    -6418.4495    -37.1982
      fbi     0.000161440     3.05198 0.000492712   0.0025416   -6168.64824177    -49.61732617    -6168.6482    -49.6173
      mmbi     1.00585e-7     1.95976  1.97123e-7   0.0048865   -5823.77693764   -100.59154372    -5823.7769   -100.5915

chl   clin      0.0572910     1.80386    0.103345     0.43610   -9262.93086117    -14.78749671    -9262.9309    -14.7875
      afchl    5.06252e-7     17.8276  9.02525e-6     0.15928   -9080.21344563    -75.67759341    -9080.2134    -75.6776
      ames     0.00336967     10.0267   0.0337865     0.11321   -9377.47472101    -22.07162188    -9377.4747    -22.0716
      daph     0.00980081     2.81811   0.0276198     0.43609   -7592.90851549    -23.38462133    -7592.9085    -23.3846
      ochl1    1.00317e-7     15.1722  1.52202e-6   2.3351e-5   -7407.19109995    -87.27461703    -7407.1911    -87.2746
      ochl4    2.32049e-7     20.6674  4.79584e-6    -0.15923   -8743.80897649    -79.79702808    -8743.8090    -79.7970
      f3clin  0.000497485     2.43896  0.00121335   0.0086081   -8847.78925432    -43.74571340    -8847.7893    -43.7457
      mmchl   7.14355e-12     1.04633 7.47453e-12   0.0059246   -8180.37985109   -166.91716044    -8180.3799   -166.9172

q                                                               -940.5442
H2O                                                             -343.8237
sph                                                            -2700.5342

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

g ep mu pa bi chl q H2O sph  {7.8600, 512.678}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90454   0.32545   0.19833   0.00297
ep        f(ep)     Q(ep)
        0.01560   0.01513
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41031   0.90662   0.00025   0.19814   0.00771
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41031   0.99791   0.00004   0.87744   0.05792
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55174   0.00460   0.08196   0.00253   0.06884   0.16582
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41672   0.55167   0.00869   0.00553   0.43957   0.10177   0.06928

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.04546   0.43076   0.19833   0.32545   0.99703   0.00297
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00047   0.99953   0.03073   0.96927
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.79415   0.19814   0.00771   0.05507   0.03831   0.90662   0.99975   0.00025   0.54283   0.45717
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06464   0.87744   0.05792   0.00123   0.00086   0.99791   0.99996   0.00004   0.47209   0.52791
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27200   0.00460   0.57008   0.00253   0.06884   0.08196   0.49893   0.00460   0.49647   0.45775   0.54225   0.93116   0.06884
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60447   0.00553   0.27791   0.11210   0.55760   0.00553   0.43687   0.00005   0.00002   0.00869   0.99124   0.44399   0.55601

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    0.997034    0.976346    0.136388    1.298221           0           0           0    0.594977    0.002966
ep        0.500000           3    1.484401           2           0    0.031198           0           0           0           0    0.015599
mu        1.000000    3.085667    1.410351    0.007713    0.055065    0.038566    0.397073    0.099071           0           0    0.000126
pa               1    2.944172    1.526849    0.057922    0.001235    0.000896    0.032320    0.438720           0           0    0.000019
bi        0.931163    2.915510    0.583223           0    1.269854    1.565547    0.500000           0    0.068837    0.013806    0.001267
chl       4.000000    2.887974    1.107681           0    2.834905    2.034108           0           0           0    0.027652    0.004345
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         chl           q         H2O         sph
1       0.00279217  0.01133091  0.06617313  0.14087716  0.12750091              0.20166272  0.44410659  0.00555641

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13980201  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6120.7533  -5535.9640      0.7442    11.99523     3.98225
ep            -7125.0421  -6559.2203      0.7200    13.73309     3.31497
mu            -6173.6155  -5626.3514      0.6964    13.99134     2.83154
pa            -6182.3369  -5649.6343      0.6779    13.35362     2.87695
bi            -5966.6245  -5317.1831      0.8264    15.23655     3.07591
chl           -8607.7989  -7668.2960      1.1956    21.36551     2.90626
q              -940.2587   -863.9143      0.0972     2.27656     2.63907
H2O            -343.6912   -242.5473      0.1287     1.89675     0.94978
sph           -2699.9484  -2472.9679      0.2888     5.57417     3.51694

sys           -660.81692  -569.97725     0.11560     2.04463     2.04818

                    ideal       gamma    activity        prop               0         RT ln a
g     py       9.34089e-5     4.37809 0.000408953    0.042496   -6510.53594307    -50.97527774    -6510.5359    -50.9753
      alm       0.0794574     1.18431   0.0941020     0.43076   -5549.37474262    -15.44157040    -5549.3747    -15.4416
      spss     0.00775454    0.981032  0.00760745     0.19833   -5973.02419294    -31.87544813    -5973.0242    -31.8754
      gr        0.0342663     1.18049   0.0404512     0.32545   -6851.70102324    -20.95785659    -6851.7010    -20.9579
      kho     8.26825e-10     2.05304  1.69750e-9   0.0029664   -5657.26724899   -131.94207598    -5657.2672   -131.9421

ep    cz         0.968816     1.00015    0.968959     0.96927   -7136.88317715      0.20602909    -7136.8832     -0.2060
      ep        0.0307161     1.15456   0.0354635    0.030263   -6729.12070732    -21.81763785    -6729.1207    -21.8176
      fep      1.43652e-5     1.56044  2.24160e-5  0.00046746   -6294.83954729    -69.94796301    -6294.8395    -69.9480

mu    mu         0.714525    0.980313    0.700458     0.70051   -6201.64672077     -2.32612984    -6201.6467     -2.3261
      cel       0.0128825     2.52398   0.0325151    0.055065   -6059.61879940    -22.38475575    -6059.6188    -22.3848
      fcel     0.00896358     2.52398   0.0226239    0.038314   -5725.01746354    -24.75452815    -5725.0175    -24.7545
      pa         0.178276     5.07952    0.905555     0.19814   -6162.31535385      0.64818861    -6162.3154     -0.6482
      mat      0.00146103     117.112    0.171105   0.0077125   -6449.72656308    -11.53510624    -6449.7266    -11.5351
      fmu     0.000180345     1.36124 0.000245492  0.00025233   -5763.51237373    -54.30965737    -5763.5124    -54.3097

pa    mu        0.0643006     10.8929    0.700422    0.062509   -6201.64672077     -2.32647040    -6201.6467     -2.3265
      cel      1.77852e-5     1827.91   0.0325097   0.0012346   -6059.61879940    -22.38584927    -6059.6188    -22.3858
      fcel     1.23749e-5     1827.91   0.0226201  0.00085905   -5725.01746354    -24.75562167    -5725.0175    -24.7556
      pa         0.872841     1.03752    0.905587     0.87744   -6162.31535385      0.64795706    -6162.3154     -0.6480
      mat       0.0161079     10.6230    0.171115    0.057922   -6449.72656308    -11.53470563    -6449.7266    -11.5347
      fmu      2.38032e-6     103.123 0.000245465   3.7017e-5   -5763.51237373    -54.31037548    -5763.5124    -54.3104

bi    phl       0.0582880     1.91750    0.111767     0.27200   -6466.68065944    -14.31752389    -6466.6807    -14.3175
      annm       0.120964     1.44466    0.174752     0.49647   -5472.90616317    -11.39728271    -5472.9062    -11.3973
      obi        0.122166     1.44214    0.176181    0.073607   -6137.42249402    -11.34407848    -6137.4225    -11.3441
      east     0.00520120     3.70276   0.0192588    0.081956   -6577.16106873    -25.80668760    -6577.1611    -25.8067
      tbi      8.06175e-5     41.7754  0.00336783    0.068837   -6416.82844817    -37.19949420    -6416.8284    -37.1995
      fbi     0.000160798     3.04909 0.000490288   0.0025337   -6167.02672169    -49.79011739    -6167.0267    -49.7901
      mmbi     8.39120e-8     1.95706  1.64221e-7   0.0046022   -5822.31718465   -102.06967105    -5822.3172   -102.0697

chl   clin      0.0571941     1.80186    0.103056     0.43677   -9260.68137306    -14.84770487    -9260.6814    -14.8477
      afchl    5.24871e-7     17.7464  9.31460e-6     0.15899   -9077.87418070    -75.68581401    -9077.8742    -75.6858
      ames     0.00332064     10.0176   0.0332647     0.11210   -9375.26299336    -22.23583341    -9375.2630    -22.2358
      daph     0.00990849     2.80446   0.0277880     0.43685   -7590.96012559    -23.41120862    -7590.9601    -23.4112
      ochl1    1.05305e-7     15.0694  1.58688e-6   2.4262e-5   -7405.15293323    -87.24921701    -7405.1529    -87.2492
      ochl4    2.41311e-7     20.5691  4.96355e-6    -0.15894   -8741.52993120    -79.79852460    -8741.5299    -79.7985
      f3clin  0.000501429     2.43405  0.00122050   0.0086903   -8845.54702602    -43.83121696    -8845.5470    -43.8312
      mmchl   5.06370e-12     1.04570 5.29512e-12   0.0055304   -8178.20111941   -169.64231635    -8178.2011   -169.6423

q                                                               -940.2587
H2O                                                             -343.6912
sph                                                            -2699.9484

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

g ep mu pa bi chl q H2O sph  {8.0800, 514.828}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90402   0.32522   0.18696   0.00302
ep        f(ep)     Q(ep)
        0.01569   0.01522
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41117   0.90326   0.00026   0.19536   0.00768
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41117   0.99782   0.00004   0.87899   0.05737
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55119   0.00432   0.08114   0.00253   0.06950   0.16508
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41719   0.55102   0.00878   0.00515   0.44013   0.10171   0.06919

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.04682   0.44099   0.18696   0.32522   0.99698   0.00302
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00047   0.99953   0.03092   0.96908
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.79696   0.19536   0.00768   0.05696   0.03978   0.90326   0.99974   0.00026   0.54453   0.45547
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06364   0.87899   0.05737   0.00128   0.00090   0.99782   0.99996   0.00004   0.47240   0.52760
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27284   0.00432   0.56967   0.00253   0.06950   0.08114   0.49952   0.00432   0.49616   0.45817   0.54183   0.93050   0.06950
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60509   0.00515   0.27888   0.11088   0.55733   0.00515   0.43753   0.00005   0.00003   0.00878   0.99115   0.44460   0.55540

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    0.996982    0.975672    0.140465    1.329005           0           0           0    0.560893    0.003018
ep        0.500000           3    1.484305           2           0    0.031389           0           0           0           0    0.015695
mu               1    3.089057    1.406973    0.007680    0.056961    0.040035    0.398478    0.097682           0           0    0.000130
pa               1    2.944808    1.526488    0.057370    0.001282    0.000934    0.031819    0.439496           0           0    0.000019
bi        0.930497    2.916337    0.582400           0    1.271882    1.564519    0.500000           0    0.069503    0.012959    0.001263
chl       4.000000    2.889192    1.106419           0    2.834457    2.037787           0           0           0    0.025726    0.004389
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         chl           q         H2O         sph
1       0.00314619  0.01121543  0.06658935  0.14074489  0.12710986              0.20152471  0.44413450  0.00553507

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13981053  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6115.7276  -5528.4292      0.7453    11.99082     3.98301
ep            -7123.4959  -6555.1172      0.7213    13.73144     3.31541
mu            -6171.2433  -5621.3745      0.6978    13.98866     2.83270
pa            -6180.6295  -5645.5647      0.6790    13.34822     2.87794
bi            -5965.4304  -5313.3205      0.8276    15.23088     3.07676
chl           -8604.6519  -7660.9282      1.1977    21.36162     2.90704
q              -939.9669   -863.2856      0.0973     2.27552     2.64028
H2O            -343.5514   -242.1629      0.1287     1.88775     0.95431
sph           -2699.3435  -2471.3467      0.2893     5.57318     3.51756

sys           -660.61613  -569.46722     0.11567     2.03999     2.05283

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000102028     4.34828 0.000443647    0.043804   -6509.45171135    -50.58119992    -6509.4517    -50.5812
      alm       0.0852434     1.17857    0.100466     0.44099   -5548.44088103    -15.05509624    -5548.4409    -15.0551
      spss     0.00649609    0.981021  0.00637280     0.18696   -5971.99976712    -33.12283313    -5971.9998    -33.1228
      gr        0.0341918     1.18753   0.0406039     0.32522   -6850.32455746    -20.99048743    -6850.3246    -20.9905
      kho     9.34779e-10     2.02614  1.89400e-9   0.0030177   -5656.19209888   -131.58532551    -5656.1921   -131.5853

ep    cz         0.968625     1.00015    0.968769     0.96908   -7135.40834185      0.20787599    -7135.4083     -0.2079
      ep        0.0309005     1.15404   0.0356604    0.030441   -6727.64753419    -21.84102751    -6727.6475    -21.8410
      fep      1.46592e-5     1.55842  2.28451e-5  0.00047418   -6293.34588320    -70.01504851    -6293.3459    -70.0150

mu    mu         0.713967    0.978064    0.698305     0.69996   -6200.02887553     -2.35265817    -6200.0289     -2.3527
      cel       0.0134568     2.48843   0.0334864    0.056961   -6058.01108413    -22.25313614    -6058.0111    -22.2531
      fcel     0.00939679     2.48843   0.0233832    0.039776   -5723.47938274    -24.60593189    -5723.4794    -24.6059
      pa         0.175019     5.17952    0.906515     0.19536   -6160.83886158      0.64302224    -6160.8389     -0.6430
      mat      0.00143879     117.131    0.168527   0.0076802   -6448.28517579    -11.66611397    -6448.2852    -11.6661
      fmu     0.000185451     1.34480 0.000249395  0.00025968   -5761.89906930    -54.35484810    -5761.8991    -54.3548

pa    mu        0.0633033     11.0305    0.698269    0.061422   -6200.02887553     -2.35300089    -6200.0289     -2.3530
      cel      1.82088e-5     1838.72   0.0334808   0.0012822   -6058.01108413    -22.25423305    -6058.0111    -22.2542
      fcel     1.27150e-5     1838.72   0.0233793  0.00089535   -5723.47938274    -24.60702880    -5723.4794    -24.6070
      pa         0.874373     1.03680    0.906547     0.87899   -6160.83886158      0.64278737    -6160.8389     -0.6428
      mat       0.0159340     10.5772    0.168537    0.057370   -6448.28517579    -11.66571267    -6448.2852    -11.6657
      fmu      2.41972e-6     103.056 0.000249367   3.8223e-5   -5761.89906930    -54.35556818    -5761.8991    -54.3556

bi    phl       0.0585324     1.91251    0.111944     0.27284   -6464.97462744    -14.34634527    -6464.9746    -14.3463
      annm       0.120573     1.44453    0.174171     0.49616   -5471.33393802    -11.45027112    -5471.3339    -11.4503
      obi        0.122211     1.44033    0.176024    0.073511   -6135.76106430    -11.38095562    -6135.7611    -11.3810
      east     0.00514617     3.69836   0.0190324    0.081137   -6575.48381280    -25.95474898    -6575.4838    -25.9547
      tbi      8.31892e-5     41.1078  0.00341972    0.069503   -6415.16108713    -37.20104655    -6415.1611    -37.2010
      fbi     0.000160194     3.04636 0.000488006   0.0025257   -6165.35400657    -49.95684301    -6165.3540    -49.9568
      mmbi     6.92984e-8     1.95456  1.35448e-7   0.0043196   -5820.80006699   -103.61084591    -5820.8001   -103.6108

chl   clin      0.0571536     1.79938    0.102841     0.43762   -9258.36020186    -14.90200564    -9258.3602    -14.9020
      afchl    5.44393e-7     17.6695  9.61913e-6     0.15866   -9075.46307034    -75.68203762    -9075.4631    -75.6820
      ames     0.00327086     10.0130   0.0327513     0.11088   -9372.98141130    -22.39856102    -9372.9814    -22.3986
      daph      0.0100048     2.79220   0.0279354     0.43750   -7588.92719014    -23.44056224    -7588.9272    -23.4406
      ochl1    1.10360e-7     14.9780  1.65298e-6   2.5180e-5   -7403.03005863    -87.22049367    -7403.0301    -87.2205
      ochl4    2.50908e-7     20.4798  5.13855e-6    -0.15862   -8739.17646800    -79.78975887    -8739.1765    -79.7898
      f3clin  0.000506172     2.42857  0.00122927   0.0087780   -8843.23039562    -43.90418179    -8843.2304    -43.9042
      mmchl   3.52986e-12     1.04516 3.68926e-12   0.0051451   -8175.93828866   -172.47374126    -8175.9383   -172.4737

q                                                               -939.9669
H2O                                                             -343.5514
sph                                                            -2699.3435

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

g ep mu pa bi chl q H2O sph  {8.3000, 516.896}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90350   0.32510   0.17562   0.00307
ep        f(ep)     Q(ep)
        0.01580   0.01532
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41193   0.89979   0.00027   0.19258   0.00764
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41193   0.99774   0.00004   0.88067   0.05671
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.55054   0.00404   0.08025   0.00252   0.07014   0.16438
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41754   0.55030   0.00887   0.00477   0.44075   0.10165   0.06906

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.04818   0.45110   0.17562   0.32510   0.99693   0.00307
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00048   0.99952   0.03113   0.96887
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.79978   0.19258   0.00764   0.05893   0.04128   0.89979   0.99973   0.00027   0.54629   0.45371
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06262   0.88067   0.05671   0.00133   0.00093   0.99774   0.99996   0.00004   0.47278   0.52722
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27378   0.00404   0.56927   0.00252   0.07014   0.08025   0.50021   0.00404   0.49575   0.45862   0.54138   0.92986   0.07014
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60590   0.00477   0.27978   0.10955   0.55717   0.00477   0.43806   0.00005   0.00003   0.00887   0.99105   0.44526   0.55474

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    0.996927    0.975294    0.144534    1.359447           0           0           0    0.526871    0.003073
ep        0.500000    3.000000    1.484195           2           0    0.031609           0           0           0           0    0.015805
mu               1    3.092574    1.403474    0.007637    0.058931    0.041547    0.399892    0.096290           0           0    0.000134
pa        1.000000    2.945551    1.526074    0.056711    0.001330    0.000971    0.031309    0.440335           0           0    0.000020
bi        0.929863    2.917230    0.581511           0    1.274202    1.563288    0.500000           0    0.070137    0.012121    0.001259
chl              4    2.890522    1.105042           0    2.834641    2.040902           0           0           0    0.023851    0.004436
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         chl           q         H2O         sph
1       0.00354335  0.01108148  0.06705851  0.14058454  0.12667576              0.20137478  0.44416503  0.00551655

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13981864  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6110.7596  -5521.0736      0.7464    11.98649     3.98371
ep            -7121.8836  -6551.0418      0.7225    13.72977     3.31586
mu            -6168.7863  -5616.4017      0.6992    13.98598     2.83386
pa            -6178.8378  -5641.5049      0.6801    13.34279     2.87891
bi            -5964.2308  -5309.5645      0.8286    15.22517     3.07757
chl           -8601.5762  -7653.8038      1.1996    21.35770     2.90776
q              -939.6679   -862.6626      0.0975     2.27447     2.64149
H2O            -343.4032   -241.7873      0.1286     1.87903     0.95874
sph           -2698.7165  -2469.7411      0.2898     5.57219     3.51819

sys           -660.40716  -568.96448     0.11574     2.03547     2.05740

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000111140     4.32075 0.000480209    0.045105   -6508.31649544    -50.19378923    -6508.3165    -50.1938
      alm       0.0912320     1.17303    0.107018     0.45110   -5547.44892164    -14.67957974    -5547.4489    -14.6796
      spss     0.00538363    0.981034  0.00528152     0.17562   -5970.91831099    -34.44355996    -5970.9183    -34.4436
      gr        0.0341483     1.19455   0.0407921     0.32510   -6848.89802261    -21.01521675    -6848.8980    -21.0152
      kho      1.05582e-9     1.99897  2.11054e-9   0.0030727   -5655.05976353   -131.21965372    -5655.0598   -131.2197

ep    cz         0.968406     1.00015    0.968551     0.96887   -7133.87848359      0.20990006    -7133.8785     -0.2099
      ep        0.0311130     1.15353   0.0358899    0.030647   -6726.11681574    -21.85622202    -6726.1168    -21.8562
      fep      1.49803e-5     1.55645  2.33162e-5  0.00048125   -6291.79295331    -70.06476464    -6291.7930    -70.0648

mu    mu         0.713279    0.975852    0.696055     0.69931   -6198.35890862     -2.38003671    -6198.3589     -2.3800
      cel       0.0140618     2.45357   0.0345016    0.058931   -6056.35091111    -22.11536832    -6056.3509    -22.1154
      fcel     0.00985000     2.45357   0.0241676    0.041280   -5721.88530150    -24.45378910    -5721.8853    -24.4538
      pa         0.171750     5.28418    0.907558     0.19258   -6159.31142728      0.63715449    -6159.3114     -0.6372
      mat      0.00141415     117.254    0.165815   0.0076368   -6446.79318797    -11.80328840    -6446.7932    -11.8033
      fmu     0.000190705     1.32871 0.000253392  0.00026729   -5760.23054266    -54.39309489    -5760.2305    -54.3931

pa    mu        0.0622889     11.1740    0.696018    0.060316   -6198.35890862     -2.38038163    -6198.3589     -2.3804
      cel      1.86195e-5     1852.67   0.0344958   0.0013304   -6056.35091111    -22.11646888    -6056.3509    -22.1165
      fcel     1.30426e-5     1852.67   0.0241636  0.00093190   -5721.88530150    -24.45488966    -5721.8853    -24.4549
      pa         0.876039     1.03602    0.907591     0.88067   -6159.31142728      0.63691619    -6159.3114     -0.6369
      mat       0.0157274     10.5437    0.165825    0.056711   -6446.79318797    -11.80288644    -6446.7932    -11.8029
      fmu      2.45725e-6     103.109 0.000253364   3.9448e-5   -5760.23054266    -54.39381711    -5760.2305    -54.3938

bi    phl       0.0588248     1.90727    0.112195     0.27378   -6463.21190235    -14.36928895    -6463.2119    -14.3693
      annm       0.120143     1.44467    0.173566     0.49575   -5469.69638427    -11.50319435    -5469.6964    -11.5032
      obi        0.122315     1.43843    0.175942    0.073525   -6134.04006299    -11.41389257    -6134.0401    -11.4139
      east     0.00508878     3.69439   0.0188000    0.080252   -6573.75053333    -26.10359764    -6573.7505    -26.1036
      tbi      8.57348e-5     40.4724  0.00346990    0.070137   -6413.44025799    -37.20302229    -6413.4403    -37.2030
      fbi     0.000159632     3.04380 0.000485888   0.0025175   -6163.62216738    -50.11656176    -6163.6222    -50.1166
      mmbi     5.66337e-8     1.95226  1.10564e-7   0.0040402   -5819.21678340   -105.21624457    -5819.2168   -105.2162

chl   clin      0.0571771     1.79634    0.102710     0.43870   -9255.95614909    -14.94951449    -9255.9561    -14.9495
      afchl    5.64937e-7     17.5971  9.94128e-6     0.15830   -9072.96889563    -75.66431767    -9072.9689    -75.6643
      ames     0.00322005     10.0137   0.0322447     0.10955   -9370.61902904    -22.55975000    -9370.6190    -22.5597
      daph      0.0100877     2.78149   0.0280589     0.43803   -7586.79667260    -23.47311955    -7586.7967    -23.4731
      ochl1    1.15452e-7     14.8992  1.72014e-6   2.6101e-5   -7400.80941915    -87.18782235    -7400.8094    -87.1878
      ochl4    2.60865e-7     20.4005  5.32179e-6    -0.15825   -8736.73700034    -79.76904872    -8736.7370    -79.7690
      f3clin  0.000511868     2.42243  0.00123996   0.0088722   -8840.82778313    -43.96256055    -8840.8278    -43.9626
      mmchl   2.41830e-12     1.04471 2.52643e-12   0.0047701   -8173.57841710   -175.41354721    -8173.5784   -175.4135

q                                                               -939.6679
H2O                                                             -343.4032
sph                                                            -2698.7165

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

g ep mu pa bi chl q H2O sph  {8.5200, 518.873}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90300   0.32509   0.16436   0.00313
ep        f(ep)     Q(ep)
        0.01593   0.01544
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41256   0.89618   0.00028   0.18978   0.00758
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41256   0.99765   0.00004   0.88249   0.05593
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.54980   0.00377   0.07929   0.00251   0.07073   0.16374
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41775   0.54952   0.00897   0.00441   0.44143   0.10160   0.06889

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.04952   0.46102   0.16436   0.32509   0.99687   0.00313
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00049   0.99951   0.03137   0.96863
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.80264   0.18978   0.00758   0.06099   0.04283   0.89618   0.99972   0.00028   0.54812   0.45188
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06158   0.88249   0.05593   0.00138   0.00097   0.99765   0.99996   0.00004   0.47321   0.52679
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27482   0.00377   0.56888   0.00251   0.07073   0.07929   0.50102   0.00377   0.49522   0.45910   0.54090   0.92927   0.07073
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60692   0.00441   0.28058   0.10810   0.55714   0.00441   0.43845   0.00005   0.00003   0.00897   0.99095   0.44599   0.55401

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    0.996868    0.975280    0.148567    1.389330           0           0           0    0.493087    0.003132
ep        0.500000           3    1.484068           2           0    0.031863           0           0           0           0    0.015932
mu        1.000000    3.096237    1.399835    0.007580    0.060986    0.043107    0.401321    0.094889           0           0    0.000138
pa               1    2.946415    1.525598    0.055932    0.001379    0.001009    0.030788    0.441246           0           0    0.000020
bi        0.929269    2.918200    0.580545           0    1.276857    1.561824    0.500000           0    0.070731    0.011296    0.001255
chl       4.000000    2.891981    1.103532           0    2.835544    2.043377           0           0           0    0.022034    0.004487
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         chl           q         H2O         sph
1       0.00398994  0.01092575  0.06758726  0.14039356  0.12619241              0.20121127  0.44419850  0.00550132

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13982624  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6105.8861  -5513.9499      0.7474    11.98229     3.98434
ep            -7120.1943  -6546.9975      0.7237    13.72807     3.31633
mu            -6166.2328  -5611.4342      0.7005    13.98330     2.83504
pa            -6176.9500  -5637.4570      0.6812    13.33732     2.87988
bi            -5963.0246  -5305.9303      0.8296    15.21942     3.07833
chl           -8598.5792  -7646.9557      1.2015    21.35375     2.90839
q              -939.3604   -862.0461      0.0976     2.27342     2.64271
H2O            -343.2449   -241.4140      0.1286     1.87047     0.96313
sph           -2698.0640  -2468.1534      0.2903     5.57119     3.51882

sys           -660.18868  -568.46659     0.11581     2.03099     2.06193

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000120692     4.29582 0.000518471    0.046390   -6507.12244715    -49.81451625    -6507.1224    -49.8145
      alm       0.0973734     1.16773    0.113706     0.46102   -5546.38997976    -14.31715044    -5546.3900    -14.3172
      spss     0.00441247    0.981068  0.00432894     0.16436   -5969.77110698    -35.83946982    -5969.7711    -35.8395
      gr        0.0341428     1.20148   0.0410219     0.32509   -6847.41369263    -21.03079031    -6847.4137    -21.0308
      kho      1.19137e-9     1.97145  2.34872e-9   0.0031320   -5653.86151580   -130.84379619    -5653.8615   -130.8438

ep    cz         0.968152     1.00015    0.968299     0.96863   -7132.28512384      0.21213761    -7132.2851     -0.2121
      ep        0.0313592     1.15304   0.0361584    0.030886   -6724.51970502    -21.86181914    -6724.5197    -21.8618
      fep      1.53346e-5     1.55456  2.38386e-5  0.00048876   -6290.17167016    -70.09414274    -6290.1717    -70.0941

mu    mu         0.712456    0.973669    0.693696     0.69855   -6196.62867038     -2.40834821    -6196.6287     -2.4083
      cel       0.0147022     2.41922   0.0355677    0.060986   -6054.63014570    -21.97028946    -6054.6301    -21.9703
      fcel      0.0103256     2.41922   0.0249798    0.042831   -5720.22657976    -24.29731654    -5720.2266    -24.2973
      pa         0.168454     5.39433    0.908697     0.18978   -6157.72510304      0.63048888    -6157.7251     -0.6305
      mat      0.00138678     117.500    0.162947   0.0075802   -6445.24274736    -11.94772308    -6445.2427    -11.9477
      fmu     0.000196133     1.31291 0.000257506  0.00027522   -5758.49820470    -54.42311301    -5758.4982    -54.4231

pa    mu        0.0612524     11.3246    0.693659    0.059188   -6196.62867038     -2.40869539    -6196.6287     -2.4087
      cel      1.90136e-5     1870.33   0.0355617   0.0013790   -6054.63014570    -21.97139401    -6054.6301    -21.9714
      fcel     1.33535e-5     1870.33   0.0249756  0.00096850   -5720.22657976    -24.29842108    -5720.2266    -24.2984
      pa         0.877857     1.03517    0.908731     0.88249   -6157.72510304      0.63024703    -6157.7251     -0.6302
      mat       0.0154847     10.5238    0.162957    0.055932   -6445.24274736    -11.94732054    -6445.2427    -11.9473
      fmu      2.49257e-6     103.298 0.000257477   4.0692e-5   -5758.49820470    -54.42383756    -5758.4982    -54.4238

bi    phl       0.0591732     1.90174    0.112532     0.27482   -6461.38369284    -14.38548103    -6461.3837    -14.3855
      annm       0.119668     1.44510    0.172933     0.49522   -5467.98346101    -11.55605061    -5467.9835    -11.5561
      obi        0.122488     1.43643    0.175945    0.073664   -6132.25028223    -11.44230611    -6132.2503    -11.4423
      east     0.00502859     3.69090   0.0185600    0.079291   -6571.95253906    -26.25349020    -6571.9525    -26.2535
      tbi      8.82321e-5     39.8708  0.00351789    0.070731   -6411.65769121    -37.20564305    -6411.6577    -37.2056
      fbi     0.000159122     3.04142 0.000483957   0.0025090   -6161.82207339    -50.26816275    -6161.8221    -50.2682
      mmbi     4.57914e-8     1.95020  8.93021e-8   0.0037654   -5817.55719793   -106.88583909    -5817.5572   -106.8858

chl   clin      0.0572735     1.79268    0.102673     0.44002   -9253.45631817    -14.98923450    -9253.4563    -14.9892
      afchl    5.86650e-7     17.5300  1.02839e-5     0.15789   -9070.37873646    -75.63045025    -9070.3787    -75.6305
      ames     0.00316789     10.0204   0.0317436     0.10810   -9368.16324116    -22.71934280    -9368.1632    -22.7193
      daph      0.0101552     2.77247   0.0281548     0.43842   -7584.55355872    -23.50937215    -7584.5536    -23.5094
      ochl1    1.20544e-7     14.8343  1.78818e-6   2.7020e-5   -7398.47597701    -87.15048763    -7398.4760    -87.1505
      ochl4    2.71212e-7     20.3324  5.51439e-6    -0.15784   -8734.19818457    -79.73448794    -8734.1982    -79.7345
      f3clin  0.000518699     2.41554  0.00125294   0.0089746   -8838.32585250    -44.00398882    -8838.3259    -44.0040
      mmchl   1.62759e-12     1.04438 1.69983e-12   0.0044067   -8171.10659953   -178.46196160    -8171.1066   -178.4620

q                                                               -939.3604
H2O                                                             -343.2449
sph                                                            -2698.0640

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

g ep mu pa bi chl q H2O sph  {8.7400, 520.744}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90251   0.32524   0.15325   0.00320
ep        f(ep)     Q(ep)
        0.01608   0.01558
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41306   0.89242   0.00028   0.18695   0.00751
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41306   0.99757   0.00004   0.88447   0.05502
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.54893   0.00350   0.07824   0.00250   0.07128   0.16315
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41779   0.54866   0.00909   0.00406   0.44217   0.10156   0.06868

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05084   0.47067   0.15325   0.32524   0.99680   0.00320
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00050   0.99950   0.03166   0.96834
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.80555   0.18695   0.00751   0.06314   0.04444   0.89242   0.99972   0.00028   0.55003   0.44997
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.06051   0.88447   0.05502   0.00143   0.00100   0.99757   0.99996   0.00004   0.47371   0.52629
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27599   0.00350   0.56849   0.00250   0.07128   0.07824   0.50195   0.00350   0.49455   0.45963   0.54037   0.92872   0.07128
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60817   0.00406   0.28128   0.10649   0.55726   0.00406   0.43868   0.00005   0.00003   0.00909   0.99083   0.44679   0.55321

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    0.996804    0.975705    0.152535    1.418404           0           0           0    0.459749    0.003196
ep        0.500000    3.000000    1.483921           2           0    0.032158           0           0           0           0    0.016079
mu               1    3.100068    1.396036    0.007509    0.063141    0.044719    0.402773    0.093473           0           0    0.000142
pa        1.000000    2.947412    1.525056    0.055020    0.001428    0.001047    0.030253    0.442237           0           0    0.000021
bi        0.928720    2.919257    0.579493           0    1.279897    1.560091    0.500000           0    0.071280    0.010490    0.001250
chl       4.000000    2.893587    1.101870           0    2.837262    2.045129           0           0           0    0.020283    0.004543
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         chl           q         H2O         sph
1       0.00449293  0.01074431  0.06818275  0.14016951  0.12565302              0.20103233  0.44423525  0.00548989

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13983326  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6101.1496  -5507.1178      0.7483    11.97825     3.98486
ep            -7118.4160  -6542.9877      0.7248    13.72634     3.31680
mu            -6163.5690  -5606.4735      0.7017    13.98063     2.83623
pa            -6174.9531  -5633.4239      0.6821    13.33179     2.88085
bi            -5961.8103  -5302.4350      0.8306    15.21362     3.07905
chl           -8595.6690  -7640.4206      1.2032    21.34975     2.90893
q              -939.0432   -861.4371      0.0978     2.27236     2.64395
H2O            -343.0749   -241.0466      0.1285     1.86206     0.96748
sph           -2697.3822  -2466.5859      0.2907     5.57017     3.51946

sys           -659.95915  -567.97561     0.11586     2.02657     2.06643

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000130605     4.27386 0.000558188    0.047648   -6505.86071344    -49.44502325    -6505.8607    -49.4450
      alm        0.103602     1.16270    0.120458     0.47067   -5545.25403283    -13.97017140    -5545.2540    -13.9702
      spss     0.00357616    0.981120  0.00350864     0.15325   -5968.54832131    -37.31094242    -5968.5483    -37.3109
      gr        0.0341831     1.20821   0.0413005     0.32524   -6845.86285236    -21.03580933    -6845.8629    -21.0358
      kho      1.34302e-9     1.94353  2.61021e-9   0.0031965   -5652.58751158   -130.45621886    -5652.5875   -130.4562

ep    cz         0.967857     1.00015    0.968007     0.96834   -7130.61869868      0.21463238    -7130.6187     -0.2146
      ep        0.0316459     1.15255   0.0364736    0.031165   -6722.84622251    -21.85619452    -6722.8462    -21.8562
      fep      1.57294e-5     1.55274  2.44236e-5  0.00049680   -6288.47178293    -70.09974605    -6288.4718    -70.0997

mu    mu         0.711488    0.971506    0.691214     0.69769   -6194.82896841     -2.43769259    -6194.8290     -2.4377
      cel       0.0153836     2.38520   0.0366930    0.063141   -6052.83961239    -21.81661085    -6052.8396    -21.8166
      fcel      0.0108263     2.38520   0.0258228    0.044436   -5718.49347187    -24.13564603    -5718.4935    -24.1356
      pa         0.165117     5.51091    0.909944     0.18695   -6156.07092439      0.62292440    -6156.0709     -0.6229
      mat      0.00135632     117.891    0.159898   0.0075085   -6443.62499641    -12.10064100    -6443.6250    -12.1006
      fmu     0.000201769     1.29735 0.000261766  0.00028351   -5756.69236748    -54.44341420    -5756.6924    -54.4434

pa    mu        0.0601886     11.4835    0.691178    0.058030   -6194.82896841     -2.43804209    -6194.8290     -2.4380
      cel      1.93869e-5     1892.35   0.0366868   0.0014280   -6052.83961239    -21.81771974    -6052.8396    -21.8177
      fcel     1.36436e-5     1892.35   0.0258184   0.0010049   -5718.49347187    -24.13675492    -5718.4935    -24.1368
      pa         0.879846     1.03425    0.909978     0.88447   -6156.07092439      0.62267887    -6156.0709     -0.6227
      mat       0.0152021     10.5188    0.159907    0.055020   -6443.62499641    -12.10023786    -6443.6250    -12.1002
      fmu      2.52534e-6     103.644 0.000261737   4.1955e-5   -5756.69236748    -54.44414135    -5756.6924    -54.4441

bi    phl       0.0595864     1.89586    0.112968     0.27599   -6459.48008348    -14.39395698    -6459.4801    -14.3940
      annm       0.119144     1.44587    0.172266     0.49455   -5466.18384296    -11.60883645    -5466.1838    -11.6088
      obi        0.122739     1.43431    0.176047    0.073945   -6130.38133664    -11.46555210    -6130.3813    -11.4656
      east     0.00496508     3.68794   0.0183109    0.078242   -6570.08002732    -26.40472110    -6570.0800    -26.4047
      tbi      9.06550e-5     39.3046  0.00356316    0.071280   -6409.80405931    -37.20915890    -6409.8041    -37.2092
      fbi     0.000158673     3.03924 0.000482244   0.0025005   -6159.94342639    -50.41035225    -6159.9434    -50.4104
      mmbi     3.66305e-8     1.94839  7.13704e-8   0.0034965   -5815.80987815   -108.61793860    -5815.8099   -108.6179

chl   clin      0.0574528     1.78833    0.102745     0.44163   -9250.84616111    -15.02006873    -9250.8462    -15.0201
      afchl    6.09699e-7     17.4685  1.06505e-5     0.15743   -9067.67801834    -75.57799318    -9067.6780    -75.5780
      ames     0.00311405     10.0339   0.0312461     0.10649   -9365.59982806    -22.87728589    -9365.5998    -22.8773
      daph      0.0102046     2.76533   0.0282192     0.43866   -7582.18091170    -23.54986399    -7582.1809    -23.5499
      ochl1    1.25593e-7     14.7847  1.85685e-6   2.7933e-5   -7396.01276893    -87.10768822    -7396.0128    -87.1077
      ochl4    2.81981e-7     20.2768  5.71767e-6    -0.15738   -8731.54496846    -79.68396252    -8731.5450    -79.6840
      f3clin  0.000526884     2.40782  0.00126864   0.0090867   -8835.70956019    -44.02578151    -8835.7096    -44.0258
      mmchl   1.07605e-12     1.04418 1.12359e-12   0.0040565   -8168.50602232   -181.61640433    -8168.5060   -181.6164

q                                                               -939.0432
H2O                                                             -343.0749
sph                                                            -2697.3822

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

g ep mu pa bi chl q H2O sph  {8.9600, 522.497}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90202   0.32555   0.14236   0.00327
ep        f(ep)     Q(ep)
        0.01625   0.01575
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41340   0.88849   0.00029   0.18407   0.00742
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41340   0.99748   0.00004   0.88664   0.05396
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.54794   0.00324   0.07710   0.00249   0.07177   0.16264
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41767   0.54772   0.00921   0.00372   0.44299   0.10153   0.06841

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05213   0.47995   0.14236   0.32555   0.99673   0.00327
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00051   0.99949   0.03200   0.96800
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.80851   0.18407   0.00742   0.06541   0.04610   0.88849   0.99971   0.00029   0.55205   0.44795
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05940   0.88664   0.05396   0.00148   0.00104   0.99748   0.99996   0.00004   0.47428   0.52572
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27729   0.00324   0.56811   0.00249   0.07177   0.07710   0.50304   0.00324   0.49372   0.46021   0.53979   0.92823   0.07177
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.60970   0.00372   0.28185   0.10473   0.55753   0.00372   0.43874   0.00005   0.00003   0.00921   0.99071   0.44768   0.55232

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    0.996733    0.976656    0.156402    1.446392           0           0           0    0.427086    0.003267
ep        0.500000    3.000000    1.483749    2.000000           0    0.032503           0           0           0           0    0.016251
mu        1.000000    3.104092    1.392052    0.007420    0.065413    0.046391    0.404257    0.092033           0           0    0.000146
pa               1    2.948554    1.524442    0.053964    0.001477    0.001084    0.029700    0.443318           0           0    0.000022
bi        0.928225    2.920413    0.578341           0    1.283372    1.558051    0.500000           0    0.071775    0.009706    0.001246
chl              4    2.895357    1.100038           0    2.839895    2.046067           0           0           0    0.018606    0.004605
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         chl           q         H2O         sph
1       0.00505980  0.01053264  0.06885239  0.13991029  0.12505038              0.20083604  0.44427564  0.00548282

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13983959  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6096.5980  -5500.6437      0.7490    11.97444     3.98527
ep            -7116.5348  -6539.0158      0.7258    13.72458     3.31730
mu            -6160.7799  -5601.5208      0.7029    13.97798     2.83743
pa            -6172.8335  -5629.4092      0.6830    13.32621     2.88180
bi            -5960.5863  -5299.0971      0.8314    15.20776     3.07972
chl           -8592.8542  -7634.2383      1.2048    21.34571     2.90936
q              -938.7149   -860.8365      0.0979     2.27129     2.64520
H2O            -342.8914   -240.6866      0.1285     1.85378     0.97180
sph           -2696.6668  -2465.0414      0.2911     5.56915     3.52010

sys           -659.71691  -567.49289     0.11591     2.02218     2.07091

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000140772     4.25528 0.000599026    0.048867   -6504.52159343    -49.08709798    -6504.5216    -49.0871
      alm        0.109838     1.15800    0.127192     0.47995   -5544.03009846    -13.64119572    -5544.0301    -13.6412
      spss     0.00286641    0.981187  0.00281249     0.14236   -5967.23917876    -38.85636482    -5967.2392    -38.8564
      gr        0.0342782     1.21465   0.0416359     0.32555   -6844.23595200    -21.02875820    -6844.2360    -21.0288
      kho      1.51256e-9     1.91517  2.89680e-9   0.0032672   -5651.22696508   -130.05508457    -5651.2270   -130.0551

ep    cz         0.967514     1.00016    0.967666     0.96800   -7128.86872857      0.21743670    -7128.8687     -0.2174
      ep        0.0319810     1.15208   0.0368446    0.031492   -6721.08543340    -21.83750089    -6721.0854    -21.8375
      fep      1.61737e-5     1.55100  2.50853e-5  0.00050547   -6286.68205968    -70.07766955    -6286.6821    -70.0777

mu    mu         0.710364    0.969355    0.688595     0.69671   -6192.94973093     -2.46818929    -6192.9497     -2.4682
      cel       0.0161129     2.35134   0.0378870    0.065413   -6050.96925794    -21.65294624    -6050.9693    -21.6529
      fcel      0.0113554     2.35134   0.0267004    0.046099   -5716.67530013    -23.96784379    -5716.6753    -23.9678
      pa         0.161721     5.63508    0.911313     0.18407   -6154.33906979      0.61436097    -6154.3391     -0.6144
      mat      0.00132244     118.451    0.156644   0.0074196   -6441.93022924    -12.26337427    -6441.9302    -12.2634
      fmu     0.000207655     1.28197 0.000266208  0.00029224   -5754.80241675    -54.45230547    -5754.8024    -54.4523

pa    mu        0.0590918     11.6523    0.688559    0.056840   -6192.94973093     -2.46854120    -6192.9497     -2.4685
      cel      1.97351e-5     1919.45   0.0378806   0.0014771   -6050.96925794    -21.65405992    -6050.9693    -21.6541
      fcel     1.39081e-5     1919.45   0.0266959   0.0010410   -5716.67530013    -23.96895746    -5716.6753    -23.9690
      pa         0.882024     1.03325    0.911347     0.88664   -6154.33906979      0.61411159    -6154.3391     -0.6141
      mat       0.0148767     10.5301    0.156653    0.053964   -6441.93022924    -12.26297056    -6441.9302    -12.2630
      fmu      2.55522e-6     104.171 0.000266179   4.3240e-5   -5754.80241675    -54.45303550    -5754.8024    -54.4530

bi    phl       0.0600745     1.88959    0.113516     0.27729   -6457.49021159    -14.39368543    -6457.4902    -14.3937
      annm       0.118563     1.44702    0.171563     0.49372   -5464.28512301    -11.66154883    -5464.2851    -11.6615
      obi        0.123079     1.43207    0.176258    0.074386   -6128.42184873    -11.48294192    -6128.4218    -11.4829
      east     0.00489774     3.68556   0.0180509    0.077095   -6568.12225891    -26.55762260    -6568.1223    -26.5576
      tbi      9.29738e-5     38.7758  0.00360513    0.071775   -6407.86914323    -37.21384791    -6407.8691    -37.2138
      fbi     0.000158297     3.03726 0.000480789   0.0024918   -6157.97494474    -50.54165011    -6157.9749    -50.5417
      mmbi     2.89977e-8     1.94686  5.64546e-8   0.0032355   -5813.96229980   -110.40869832    -5813.9623   -110.4087

chl   clin      0.0577257     1.78321    0.102937     0.44354   -9248.10973608    -15.04084843    -9248.1097    -15.0408
      afchl    6.34281e-7     17.4133  1.10449e-5     0.15692   -9064.85077057    -75.50431947    -9064.8508    -75.5043
      ames     0.00305822     10.0551   0.0307507     0.10473   -9362.91320744    -23.03353810    -9362.9132    -23.0335
      daph      0.0102336     2.76029   0.0282477     0.43872   -7579.66017324    -23.59518259    -7579.6602    -23.5952
      ochl1    1.30550e-7     14.7520  1.92588e-6   2.8832e-5   -7393.40120773    -87.05855339    -7393.4012    -87.0586
      ochl4    2.93212e-7     20.2350  5.93313e-6    -0.15687   -8728.76085800    -79.61519674    -8728.7609    -79.6152
      f3clin  0.000536677     2.39917  0.00128758   0.0092106   -8832.96242190    -44.02495745    -8832.9624    -44.0250
      mmchl             0     1.04412           0   0.0037211   -8165.75826255   -184.87072654    -8165.7583   -184.8707

q                                                               -938.7149
H2O                                                             -342.8914
sph                                                            -2696.6668

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

g ep mu pa bi chl q H2O sph  {9.1800, 524.116}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90155   0.32607   0.13178   0.00335
ep        f(ep)     Q(ep)
        0.01645   0.01594
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41357   0.88435   0.00030   0.18113   0.00731
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41357   0.99740   0.00004   0.88899   0.05275
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.54679   0.00298   0.07584   0.00248   0.07221   0.16221
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41734   0.54667   0.00935   0.00340   0.44389   0.10152   0.06808

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05338   0.48877   0.13178   0.32607   0.99665   0.00335
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00051   0.99949   0.03239   0.96761
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.81156   0.18113   0.00731   0.06782   0.04783   0.88435   0.99970   0.00030   0.55417   0.44583
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05826   0.88899   0.05275   0.00153   0.00108   0.99740   0.99996   0.00004   0.47492   0.52508
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.27876   0.00298   0.56773   0.00248   0.07221   0.07584   0.50429   0.00298   0.49273   0.46084   0.53916   0.92779   0.07221
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.61153   0.00340   0.28229   0.10278   0.55799   0.00340   0.43861   0.00006   0.00003   0.00935   0.99057   0.44865   0.55135

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    0.996655    0.978222    0.160130    1.472993           0           0           0    0.395347    0.003345
ep        0.500000           3    1.483547    2.000000           0    0.032905           0           0           0           0    0.016453
mu               1    3.108337    1.387857    0.007312    0.067820    0.048130    0.405781    0.090563           0           0    0.000151
pa        1.000000    2.949849    1.523752    0.052754    0.001526    0.001121    0.029128    0.444495           0           0    0.000022
bi        0.927793    2.921678    0.577081           0    1.287337    1.555664    0.500000           0    0.072207    0.008952    0.001242
chl              4    2.897308    1.098017           0    2.843547    2.046099           0           0           0    0.017011    0.004674
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         chl           q         H2O         sph
1       0.00569824  0.01028563  0.06960345  0.13961446  0.12437713              0.20062042  0.44431999  0.00548067

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13984513  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6092.2833  -5494.5984      0.7497    11.97089     3.98554
ep            -7114.5362  -6535.0853      0.7268    13.72279     3.31782
mu            -6157.8490  -5596.5771      0.7040    13.97535     2.83865
pa            -6170.5778  -5625.4177      0.6838    13.32054     2.88275
bi            -5959.3513  -5295.9363      0.8321    15.20184     3.08032
chl           -8590.1432  -7628.4506      1.2062    21.34161     2.90968
q              -938.3739   -860.2454      0.0980     2.27020     2.64646
H2O            -342.6924   -240.3332      0.1284     1.84565     0.97608
sph           -2695.9134  -2463.5227      0.2915     5.56812     3.52076

sys           -659.46023  -567.01859     0.11595     2.01784     2.07537

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000151057     4.24051 0.000640560    0.050031   -6503.09486409    -48.74261618    -6503.0949    -48.7426
      alm        0.115983     1.15367    0.133807     0.48877   -5542.70660360    -13.33287999    -5542.7066    -13.3329
      spss     0.00227332    0.981265  0.00223073     0.13178   -5965.83232506    -40.47160656    -5965.8323    -40.4716
      gr        0.0344380     1.22065   0.0420366     0.32607   -6842.52292763    -21.00805926    -6842.5229    -21.0081
      kho      1.70202e-9     1.88629  3.21049e-9   0.0033455   -5649.76851196   -129.63822513    -5649.7685   -129.6382

ep    cz         0.967111     1.00016    0.967267     0.96761   -7127.02417056      0.22061249    -7127.0242     -0.2206
      ep        0.0323739     1.15161   0.0372822    0.031876   -6719.22581512    -21.80368714    -6719.2258    -21.8037
      fep      1.66787e-5     1.54934  2.58409e-5  0.00051492   -6284.79066498    -70.02358237    -6284.7907    -70.0236

mu    mu         0.709070    0.967212    0.685820     0.69561   -6190.98034551     -2.49997901    -6190.9803     -2.5000
      cel       0.0168979     2.31747   0.0391605    0.067820   -6049.00848963    -21.47786554    -6049.0085    -21.4779
      fcel      0.0119167     2.31747   0.0276167    0.047828   -5714.76081439    -23.79294737    -5714.7608    -23.7929
      pa         0.158251     5.76814    0.912813     0.18113   -6152.51919108      0.60470738    -6152.5192     -0.6047
      mat      0.00128485     119.207    0.153162   0.0073116   -6440.14821733    -12.43732168    -6440.1482    -12.4373
      fmu     0.000213842     1.26671 0.000270876  0.00030149   -5752.81716944    -54.44790554    -5752.8172    -54.4479

pa    mu        0.0579563     11.8328    0.685784    0.055610   -6190.98034551     -2.50033342    -6190.9803     -2.5003
      cel      2.00538e-5     1952.45   0.0391539   0.0015262   -6049.00848963    -21.47898452    -6049.0085    -21.4790
      fcel     1.41423e-5     1952.45   0.0276121   0.0010763   -5714.76081439    -23.79406635    -5714.7608    -23.7941
      pa         0.884407     1.03216    0.912848     0.88899   -6152.51919108      0.60445396    -6152.5192     -0.6045
      mat       0.0145059     10.5593    0.153172    0.052754   -6440.14821733    -12.43691743    -6440.1482    -12.4369
      fmu      2.58191e-6     104.901 0.000270846   4.4547e-5   -5752.81716944    -54.44863877    -5752.8172    -54.4486

bi    phl       0.0606479     1.88288    0.114193     0.27876   -6455.40263353    -14.38361038    -6455.4026    -14.3836
      annm       0.117918     1.44860    0.170816     0.49273   -5462.27423107    -11.71418902    -5462.2742    -11.7142
      obi        0.123518     1.42968    0.176591    0.075003   -6126.35983271    -11.49377201    -6126.3598    -11.4938
      east     0.00482606     3.68380   0.0177783    0.075839   -6566.06792003    -26.71255999    -6566.0679    -26.7126
      tbi      9.51558e-5     38.2864  0.00364317    0.072207   -6405.84217656    -37.22001116    -6405.8422    -37.2200
      fbi     0.000158009     3.03550 0.000479638   0.0024830   -6155.90474396    -50.66039963    -6155.9047    -50.6604
      mmbi     2.27306e-8     1.94565  4.42258e-8   0.0029840   -5812.00126986   -112.25167423    -5812.0013   -112.2517

chl   clin      0.0581037     1.77725    0.103265     0.44581   -9245.23024214    -15.05038268    -9245.2302    -15.0504
      afchl    6.60619e-7     17.3649  1.14716e-5     0.15635   -9061.88016201    -75.40671733    -9061.8802    -75.4067
      ames     0.00300007     10.0848   0.0302552     0.10278   -9360.08695661    -23.18808138    -9360.0870    -23.1881
      daph      0.0102395     2.75756   0.0282360     0.43858   -7576.97178764    -23.64594318    -7576.9718    -23.6459
      ochl1    1.35361e-7     14.7379  1.99495e-6   2.9713e-5   -7390.62170752    -87.00217751    -7390.6217    -87.0022
      ochl4    3.04945e-7     20.2084  6.16246e-6    -0.15629   -8725.82847111    -79.52584003    -8725.8285    -79.5258
      f3clin  0.000548380     2.38951  0.00131036   0.0093489   -8830.06706607    -43.99830373    -8830.0671    -43.9983
      mmchl             0     1.04422           0   0.0034022   -8162.84390803   -188.21445289    -8162.8439   -188.2145

q                                                               -938.3739
H2O                                                             -342.6924
sph                                                            -2695.9134

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

g ep mu pa bi chl q H2O sph  {9.4000, 525.587}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90108   0.32683   0.12160   0.00343
ep        f(ep)     Q(ep)
        0.01669   0.01616
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41354   0.87999   0.00031   0.17811   0.00718
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41354   0.99731   0.00005   0.89155   0.05138
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.54549   0.00274   0.07446   0.00247   0.07257   0.16186
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41680   0.54552   0.00950   0.00310   0.44489   0.10152   0.06769

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05456   0.49701   0.12160   0.32683   0.99657   0.00343
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00053   0.99947   0.03285   0.96715
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.81471   0.17811   0.00718   0.07038   0.04963   0.87999   0.99969   0.00031   0.55642   0.44358
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05707   0.89155   0.05138   0.00158   0.00111   0.99731   0.99995   0.00005   0.47565   0.52435
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.28040   0.00274   0.56735   0.00247   0.07257   0.07446   0.50572   0.00274   0.49153   0.46153   0.53847   0.92743   0.07257
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.61369   0.00310   0.28257   0.10063   0.55864   0.00310   0.43826   0.00006   0.00003   0.00950   0.99041   0.44973   0.55027

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    0.996567    0.980498    0.163679    1.497901           0           0           0    0.364788    0.003433
ep        0.500000    3.000000    1.483311    2.000000           0    0.033378           0           0           0           0    0.016689
mu               1    3.112832    1.383421    0.007183    0.070384    0.049942    0.407355    0.089054           0           0    0.000156
pa               1    2.951303    1.522982    0.051383    0.001575    0.001157    0.028534    0.445775           0           0    0.000023
bi        0.927430    2.923062    0.575701           0    1.291844    1.552891    0.500000           0    0.072570    0.008231    0.001237
chl       4.000000    2.899453    1.095795           0    2.848315    2.045135           0           0           0    0.015507    0.004752
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         chl           q         H2O         sph
1       0.00641585  0.00999764  0.07044254  0.13928160  0.12362619              0.20038359  0.44436857  0.00548401

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13984977  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6088.2598  -5489.0544      0.7502    11.96767     3.98565
ep            -7112.4047  -6531.1987      0.7277    13.72095     3.31836
mu            -6154.7597  -5591.6428      0.7050    13.97275     2.83988
pa            -6168.1735  -5621.4551      0.6845    13.31477     2.88370
bi            -5958.1039  -5292.9726      0.8327    15.19585     3.08085
chl           -8587.5445  -7623.0987      1.2075    21.33745     2.90987
q              -938.0188   -859.6648      0.0981     2.26910     2.64774
H2O            -342.4760   -239.9880      0.1283     1.83764     0.98033
sph           -2695.1176  -2462.0328      0.2918     5.56707     3.52142

sys           -659.18737  -566.55405     0.11597     2.01352     2.07982

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000161298     4.22998 0.000682288    0.051127   -6501.57032061    -48.41344573    -6501.5703    -48.4134
      alm        0.121931     1.14978    0.140193     0.49701   -5541.27199684    -13.04784738    -5541.2720    -13.0478
      spss     0.00178555    0.981350  0.00175225     0.12160   -5964.31642791    -42.14961934    -5964.3164    -42.1496
      gr        0.0346728     1.22609   0.0425119     0.32683   -6840.71373303    -20.97216048    -6840.7137    -20.9722
      kho      1.91379e-9     1.85684  3.55360e-9   0.0034327   -5648.20081141   -129.20312423    -5648.2008   -129.2031

ep    cz         0.966639     1.00017    0.966799     0.96715   -7125.07400236      0.22423206    -7125.0740     -0.2242
      ep        0.0328354     1.15116   0.0377987    0.032327   -6717.25586698    -21.75254393    -6717.2559    -21.7525
      fep      1.72578e-5     1.54777  2.67111e-5  0.00052531   -6282.78578634    -69.93282691    -6282.7858    -69.9328

mu    mu         0.707585    0.965072    0.682870     0.69438   -6188.91022075     -2.53322432    -6188.9102     -2.5332
      cel       0.0177476     2.28343   0.0405253    0.070384   -6046.94673599    -21.28997810    -6046.9467    -21.2900
      fcel      0.0125146     2.28343   0.0285763    0.049631   -5712.73878817    -23.61002409    -5712.7388    -23.6100
      pa         0.154689     5.91157    0.914454     0.17811   -6150.60096143      0.59389195    -6150.6010     -0.5939
      mat      0.00124335     120.187    0.149435   0.0071829   -6438.26875008    -12.62387955    -6438.2688    -12.6239
      fmu     0.000220389     1.25153 0.000275822  0.00031137   -5750.72546615    -54.42818492    -5750.7255    -54.4282

pa    mu        0.0567767     12.0266    0.682833    0.054336   -6188.91022075     -2.53358135    -6188.9102     -2.5336
      cel      2.03386e-5     1992.20   0.0405185   0.0015753   -6046.94673599    -21.29110294    -6046.9467    -21.2911
      fcel     1.43416e-5     1992.20   0.0285714   0.0011108   -5712.73878817    -23.61114893    -5712.7388    -23.6111
      pa         0.887005     1.03099    0.914490     0.89155   -6150.60096143      0.59363426    -6150.6010     -0.5936
      mat       0.0140888     10.6073    0.149444    0.051383   -6438.26875008    -12.62347473    -6438.2688    -12.6235
      fmu      2.60524e-6     105.860 0.000275792   4.5884e-5   -5750.72546615    -54.42892171    -5750.7255    -54.4289

bi    phl       0.0613177     1.87566    0.115011     0.28040   -6453.20593157    -14.36271439    -6453.2059    -14.3627
      annm       0.117204     1.45065    0.170021     0.49153   -5460.13812804    -11.76676969    -5460.1381    -11.7668
      obi        0.124068     1.42713    0.177060    0.075815   -6124.18333039    -11.49736829    -6124.1833    -11.4974
      east     0.00474955     3.68273   0.0174913    0.074464   -6563.90572215    -26.86991986    -6563.9057    -26.8699
      tbi      9.71664e-5     37.8386  0.00367663    0.072570   -6403.71241627    -37.22796175    -6403.7124    -37.2280
      fbi     0.000157830     3.03397 0.000478850   0.0024745   -6153.72096755    -50.76479535    -6153.7210    -50.7648
      mmbi     1.76614e-8     1.94477  3.43473e-8   0.0027438   -5809.91362739   -114.13754844    -5809.9136   -114.1375

chl   clin      0.0585983     1.77040    0.103742     0.44845   -9242.19090664    -15.04753158    -9242.1909    -15.0475
      afchl    6.88964e-7     17.3239  1.19356e-5     0.15571   -9058.74939025    -75.28254339    -9058.7494    -75.2825
      ames     0.00293937     10.1239   0.0297579     0.10063   -9357.10467938    -23.34093266    -9357.1047    -23.3409
      daph      0.0102199     2.75737   0.0281800     0.43823   -7574.09623684    -23.70276587    -7574.0962    -23.7028
      ochl1    1.39968e-7     14.7441  2.06371e-6   3.0568e-5   -7387.65472045    -86.93767719    -7387.6547    -86.9377
      ochl4    3.17231e-7     20.1983  6.40752e-6    -0.15565   -8722.73045629    -79.41360104    -8722.7305    -79.4136
      f3clin  0.000562339     2.37876  0.00133767   0.0095045   -8827.00615204    -43.94248841    -8827.0062    -43.9425
      mmchl             0     1.04451           0   0.0031013   -8159.74358529   -191.63230495    -8159.7436   -191.6323

q                                                               -938.0188
H2O                                                             -342.4760
sph                                                            -2695.1176

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

g ep mu pa bi chl q H2O sph  {9.6200, 526.897}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90063   0.32786   0.11189   0.00353
ep        f(ep)     Q(ep)
        0.01697   0.01643
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41331   0.87536   0.00032   0.17500   0.00703
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41331   0.99723   0.00005   0.89432   0.04985
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.54400   0.00252   0.07296   0.00247   0.07285   0.16160
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41603   0.54426   0.00968   0.00282   0.44597   0.10154   0.06724

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05567   0.50459   0.11189   0.32786   0.99647   0.00353
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00054   0.99946   0.03340   0.96660
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.81797   0.17500   0.00703   0.07313   0.05151   0.87536   0.99968   0.00032   0.55880   0.44120
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05583   0.89432   0.04985   0.00162   0.00114   0.99723   0.99995   0.00005   0.47646   0.52354
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.28224   0.00252   0.56696   0.00247   0.07285   0.07296   0.50735   0.00252   0.49013   0.46229   0.53771   0.92715   0.07285
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.61620   0.00282   0.28269   0.09829   0.55951   0.00282   0.43767   0.00006   0.00003   0.00968   0.99023   0.45090   0.54910

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    0.996469    0.983574    0.167010    1.520821           0           0           0    0.335656    0.003531
ep        0.500000           3    1.483034           2           0    0.033933           0           0           0           0    0.016966
mu        1.000000    3.117607    1.378715    0.007033    0.073125    0.051837    0.408984    0.087500           0           0    0.000161
pa               1    2.952916    1.522134    0.049852    0.001624    0.001192    0.027915    0.447159           0           0    0.000024
bi        0.927146    2.924572    0.574195           0    1.296942    1.549692    0.500000           0    0.072854    0.007550    0.001233
chl       4.000000    2.901799    1.093361           0    2.854287    2.043092           0           0           0    0.014100    0.004840
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         chl           q         H2O         sph
1       0.00721958  0.00966264  0.07137497  0.13891271  0.12279128              0.20012392  0.44442158  0.00549331

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13985341  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6084.5804  -5484.0806      0.7506    11.96483     3.98558
ep            -7110.1252  -6527.3573      0.7284    13.71908     3.31893
mu            -6151.4958  -5586.7178      0.7059    13.97019     2.84114
pa            -6165.6109  -5617.5281      0.6851    13.30890     2.88464
bi            -5956.8437  -5290.2251      0.8332    15.18977     3.08130
chl           -8585.0657  -7618.2205      1.2085    21.33321     2.90993
q              -937.6482   -859.0956      0.0982     2.26799     2.64904
H2O            -342.2405   -239.6525      0.1282     1.82970     0.98459
sph           -2694.2752  -2460.5743      0.2921     5.56601     3.52209

sys           -658.89672  -566.10056     0.11599     2.00921     2.08429

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000171314     4.22412 0.000723649    0.052139   -6499.93851825    -48.10131182    -6499.9385    -48.1013
      alm        0.127566     1.14636    0.146236     0.50459   -5539.71558897    -12.78850409    -5539.7156    -12.7885
      spss     0.00139075    0.981438  0.00136493     0.11189   -5962.68100186    -43.88031395    -5962.6810    -43.8803
      gr        0.0349934     1.23083   0.0430708     0.32786   -6838.79906985    -20.91965425    -6838.7991    -20.9197
      kho      2.15077e-9     1.82679  3.92899e-9   0.0035307   -5646.51337234   -128.74691131    -5646.5134   -128.7469

ep    cz         0.966085     1.00017    0.966250     0.96660   -7123.00802425      0.22837878    -7123.0080     -0.2284
      ep        0.0333779     1.15071   0.0384083    0.032859   -6715.16494696    -21.68177587    -6715.1649    -21.6818
      fep      1.79276e-5     1.54628  2.77211e-5  0.00053682   -6280.65649394    -69.80057450    -6280.6565    -69.8006

mu    mu         0.705886    0.962935    0.679722     0.69301   -6186.72955719     -2.56810866    -6186.7296     -2.5681
      cel       0.0186716     2.24909   0.0419942    0.073125   -6044.77421652    -21.08804278    -6044.7742    -21.0880
      fcel      0.0131536     2.24909   0.0295837    0.051515   -5710.59883667    -23.41824924    -5710.5988    -23.4182
      pa         0.151020     6.06702    0.916242     0.17500   -6148.57482736      0.58187459    -6148.5748     -0.5819
      mat      0.00119790     121.421    0.145450   0.0070325   -6436.28237681    -12.82434717    -6436.2824    -12.8243
      fmu     0.000227369     1.23637 0.000281113  0.00032200   -5748.51698423    -54.39102915    -5748.5170    -54.3910

pa    mu        0.0555486     12.2359    0.679686    0.053013   -6186.72955719     -2.56846846    -6186.7296     -2.5685
      cel      2.05860e-5     2039.59   0.0419870   0.0016244   -6044.77421652    -21.08917410    -6044.7742    -21.0892
      fcel     1.45023e-5     2039.59   0.0295787   0.0011443   -5710.59883667    -23.41938057    -5710.5988    -23.4194
      pa         0.889823     1.02973    0.916278     0.89432   -6148.57482736      0.58161239    -6148.5748     -0.5816
      mat       0.0136258     10.6752    0.145459    0.049852   -6436.28237681    -12.82394177    -6436.2824    -12.8239
      fmu      2.62520e-6     107.071 0.000281081   4.7257e-5   -5748.51698423    -54.39176992    -5748.5170    -54.3918

bi    phl       0.0620943     1.86790    0.115986     0.28224   -6450.88954651    -14.33009870    -6450.8895    -14.3301
      annm       0.116412     1.45323    0.169173     0.49013   -5457.86475762    -11.81932570    -5457.8648    -11.8193
      obi        0.124736     1.42441    0.177676    0.076832   -6121.88128355    -11.49314320    -6121.8813    -11.4931
      east     0.00466784     3.68235   0.0171886    0.072962   -6561.62522503    -27.03009015    -6561.6252    -27.0301
      tbi      9.89715e-5     37.4342  0.00370492    0.072854   -6401.46992572    -37.23800583    -6401.4699    -37.2380
      fbi     0.000157781     3.03266 0.000478496   0.0024663   -6151.41265207    -50.85292731    -6151.4127    -50.8529
      mmbi     1.36213e-8     1.94426  2.64834e-8   0.0025165   -5807.68720466   -116.05417565    -5807.6872   -116.0542

chl   clin      0.0592204     1.76260    0.104382     0.45148   -9238.97620377    -15.03129821    -9238.9762    -15.0313
      afchl    7.19590e-7     17.2907  1.24422e-5     0.15501   -9055.44290245    -75.12942212    -9055.4429    -75.1294
      ames     0.00287593     10.1730   0.0292569    0.098291   -9353.95119665    -23.49215394    -9353.9512    -23.4922
      daph      0.0101727     2.75993   0.0280758     0.43764   -7571.01546112    -23.76624853    -7571.0155    -23.7662
      ochl1    1.44313e-7     14.7720  2.13179e-6   3.1393e-5   -7384.48215980    -86.86427169    -7384.4822    -86.8643
      ochl4    3.30121e-7     20.2056  6.67030e-6    -0.15495   -8719.45075392    -79.27642318    -8719.4508    -79.2764
      f3clin  0.000578944     2.36689  0.00137030   0.0096806   -8823.76363081    -43.85421667    -8823.7636    -43.8542
      mmchl             0     1.04501           0   0.0028200   -8156.43937050   -195.10425869    -8156.4394   -195.1043

q                                                               -937.6482
H2O                                                             -342.2405
sph                                                            -2694.2752

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

g ep mu pa bi chl q H2O sph  {9.8400, 528.033}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.90020   0.32918   0.10272   0.00364
ep        f(ep)     Q(ep)
        0.01729   0.01674
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41286   0.87045   0.00033   0.17179   0.00686
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41286   0.99715   0.00005   0.89729   0.04817
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.54232   0.00230   0.07133   0.00246   0.07305   0.16145
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41501   0.54289   0.00988   0.00256   0.44714   0.10157   0.06671

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05670   0.51140   0.10272   0.32918   0.99636   0.00364
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00055   0.99945   0.03403   0.96597
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.82135   0.17179   0.00686   0.07607   0.05349   0.87045   0.99967   0.00033   0.56135   0.43865
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05454   0.89729   0.04817   0.00167   0.00118   0.99715   0.99995   0.00005   0.47734   0.52266
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.28429   0.00230   0.56657   0.00246   0.07305   0.07133   0.50919   0.00230   0.48850   0.46311   0.53689   0.92695   0.07305
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.61907   0.00256   0.28262   0.09575   0.56060   0.00256   0.43684   0.00006   0.00003   0.00988   0.99003   0.45217   0.54783

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    0.996359    0.987533    0.170087    1.541493           0           0           0    0.308170    0.003641
ep        0.500000    3.000000    1.482708           2           0    0.034584           0           0           0           0    0.017292
mu               1    3.122693    1.373710    0.006860    0.076066    0.053820    0.410675    0.085895           0           0    0.000167
pa        1.000000    2.954682    1.521209    0.048168    0.001673    0.001225    0.027269    0.448647           0           0    0.000024
bi        0.926945    2.926210    0.572560           0    1.302671    1.546032    0.500000           0    0.073055    0.006911    0.001229
chl       4.000000    2.904346    1.090713           0    2.861527    2.039904           0           0           0    0.012796    0.004941
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         chl           q         H2O         sph
1       0.00811531  0.00927438  0.07240415  0.13851043  0.12186747              0.19984016  0.44447914  0.00550896

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13985598  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6081.2929  -5479.7373      0.7508    11.96241     3.98532
ep            -7107.6836  -6523.5605      0.7291    13.71717     3.31953
mu            -6148.0432  -5581.8009      0.7068    13.96767     2.84241
pa            -6162.8838  -5613.6442      0.6855    13.30291     2.88559
bi            -5955.5717  -5287.7108      0.8336    15.18361     3.08167
chl           -8582.7137  -7613.8479      1.2093    21.32889     2.90984
q              -937.2610   -858.5387      0.0983     2.26686     2.65037
H2O            -341.9845   -239.3254      0.1281     1.82181     0.98885
sph           -2693.3829  -2459.1493      0.2924     5.56493     3.52277

sys           -658.58698  -565.65789     0.11599     2.00488     2.08879

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000180917     4.22328 0.000764063    0.053054   -6498.19165058    -47.80763526    -6498.1917    -47.8076
      alm        0.132777     1.14346    0.151825     0.51140   -5538.02854770    -12.55683057    -5538.0285    -12.5568
      spss     0.00107607    0.981528  0.00105619     0.10272   -5960.91738455    -45.65086095    -5960.9174    -45.6509
      gr        0.0354097     1.23474   0.0437220     0.32918   -6836.77125199    -20.84941533    -6836.7713    -20.8494
      kho      2.41660e-9     1.79609  4.34045e-9   0.0036415   -5644.69753099   -128.26636283    -5644.6975   -128.2664

ep    cz         0.965435     1.00018    0.965605     0.96597   -7120.81780801      0.23314767    -7120.8178     -0.2331
      ep        0.0340156     1.15026   0.0391269    0.033485   -6712.94426208    -21.58909193    -6712.9443    -21.5891
      fep      1.87077e-5     1.54488  2.89012e-5  0.00054967   -6278.39375813    -69.62202000    -6278.3938    -69.6220

mu    mu         0.703945    0.960808    0.676356     0.69146   -6184.43025961     -2.60483348    -6184.4303     -2.6048
      cel       0.0196805     2.21437   0.0435799    0.076066   -6042.48285245    -20.87109232    -6042.4829    -20.8711
      fcel      0.0138386     2.21437   0.0306438    0.053487   -5708.33238461    -23.21699672    -5708.3324    -23.2170
      pa         0.147233     6.23619    0.918175     0.17179   -6146.43289846      0.56865837    -6146.4329     -0.5687
      mat      0.00114862     122.936    0.141207   0.0068602   -6434.18128531    -13.03981707    -6434.1813    -13.0398
      fmu     0.000234865     1.22123 0.000286824  0.00033353   -5746.18319981    -54.33431754    -5746.1832    -54.3343

pa    mu        0.0542691     12.4623    0.676319    0.051640   -6184.43025961     -2.60519617    -6184.4303     -2.6052
      cel      2.07938e-5     2095.46   0.0435725   0.0016734   -6042.48285245    -20.87223083    -6042.4829    -20.8722
      fcel     1.46214e-5     2095.46   0.0306386   0.0011766   -5708.33238461    -23.21813523    -5708.3324    -23.2181
      pa         0.892855     1.02840    0.918212     0.89729   -6146.43289846      0.56839137    -6146.4329     -0.5684
      mat       0.0131199     10.7634    0.141215    0.048168   -6434.18128531    -13.03941137    -6434.1813    -13.0394
      fmu      2.64199e-6     108.551 0.000286791   4.8681e-5   -5746.18319981    -54.33506269    -5746.1832    -54.3351

bi    phl       0.0629877     1.85957    0.117130     0.28429   -6448.44476256    -14.28506970    -6448.4448    -14.2851
      annm       0.115538     1.45638    0.168266     0.48850   -5455.44417209    -11.87192924    -5455.4442    -11.8719
      obi        0.125532     1.42152    0.178446    0.078064   -6119.44456574    -11.48065843    -6119.4446    -11.4807
      east     0.00458068     3.68269   0.0168692    0.071331   -6559.21781027    -27.19343209    -6559.2178    -27.1934
      tbi     0.000100540     37.0749  0.00372751    0.073055   -6399.10650101    -37.25041628    -6399.1065    -37.2504
      fbi     0.000157894     3.03155 0.000478663   0.0024587   -6148.97075047    -50.92283461    -6148.9708    -50.9228
      mmbi     1.04466e-8     1.94414  2.03097e-8   0.0023036   -5805.31196382   -117.98707817    -5805.3120   -117.9871

chl   clin      0.0599797     1.75385    0.105196     0.45491   -9235.57329711    -15.00092640    -9235.5733    -15.0009
      afchl    7.52790e-7     17.2653  1.29972e-5     0.15425   -9051.94784068    -74.94546665    -9051.9478    -74.9455
      ames     0.00280973     10.2324   0.0287504    0.095746   -9350.61395598    -23.64185732    -9350.6140    -23.6419
      daph      0.0100963     2.76544   0.0279206     0.43681   -7567.71454036    -23.83694172    -7567.7145    -23.8369
      ochl1    1.48342e-7     14.8228  2.19884e-6   3.2182e-5   -7381.08908393    -86.78138088    -7381.0891    -86.7814
      ochl4    3.43671e-7     20.2311  6.95284e-6    -0.15419   -8715.97608933    -79.11268093    -8715.9761    -79.1127
      f3clin  0.000598639     2.35387  0.00140912   0.0098811   -8820.32623732    -43.73041020    -8820.3262    -43.7304
      mmchl             0     1.04574           0   0.0025592   -8152.91645897   -198.60635317    -8152.9165   -198.6064

q                                                               -937.2610
H2O                                                             -341.9845
sph                                                            -2693.3829

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

g ep mu pa bi chl q H2O sph  {10.0600, 528.989}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89978   0.33081   0.09417   0.00377
ep        f(ep)     Q(ep)
        0.01767   0.01711
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41218   0.86522   0.00035   0.16847   0.00667
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41218   0.99707   0.00005   0.90046   0.04634
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.54044   0.00211   0.06957   0.00245   0.07317   0.16139
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41373   0.54140   0.01011   0.00232   0.44839   0.10161   0.06611

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05763   0.51739   0.09417   0.33081   0.99623   0.00377
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00056   0.99944   0.03478   0.96522
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.82486   0.16847   0.00667   0.07923   0.05555   0.86522   0.99965   0.00035   0.56406   0.43594
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05320   0.90046   0.04634   0.00172   0.00121   0.99707   0.99995   0.00005   0.47829   0.52171
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.28655   0.00211   0.56615   0.00245   0.07317   0.06957   0.51125   0.00211   0.48664   0.46399   0.53601   0.92683   0.07317
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.62231   0.00232   0.28237   0.09301   0.56193   0.00232   0.43575   0.00006   0.00003   0.01011   0.98979   0.45354   0.54646

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    0.996233    0.992438    0.172880    1.559715           0           0           0    0.282501    0.003767
ep        0.500000    3.000000    1.482326           2           0    0.035348           0           0           0           0    0.017674
mu               1    3.128114    1.368379    0.006667    0.079227    0.055900    0.412431    0.084235           0           0    0.000173
pa        1.000000    2.956587    1.520216    0.046343    0.001723    0.001258    0.026598    0.450230           0           0    0.000025
bi        0.926834    2.927976    0.570798           0    1.309061    1.541883    0.500000           0    0.073166    0.006318    0.001226
chl       4.000000    2.907088    1.087856           0    2.870076    2.035524           0           0           0    0.011599    0.005055
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         chl           q         H2O         sph
1       0.00910740  0.00882668  0.07353123  0.13807917  0.12085157              0.19953156  0.44454122  0.00553116

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13985740  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6078.4361  -5476.0702      0.7509    11.96045     3.98485
ep            -7105.0682  -6519.8052      0.7296    13.71522     3.32016
mu            -6144.3910  -5576.8900      0.7075    13.96519     2.84371
pa            -6159.9909  -5609.8108      0.6859    13.29679     2.88655
bi            -5954.2908  -5285.4437      0.8338    15.17736     3.08196
chl           -8580.4943  -7610.0040      1.2099    21.32448     2.90959
q              -936.8564   -857.9945      0.0983     2.26571     2.65171
H2O            -341.7071   -239.0127      0.1280     1.81404     0.99309
sph           -2692.4383  -2457.7592      0.2926     5.56384     3.52347

sys           -658.25727  -565.22913     0.11598     2.00058     2.09328

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000189930     4.22776 0.000802978    0.053859   -6496.32441080    -47.53337000    -6496.3244    -47.5334
      alm        0.137463     1.14112    0.156861     0.51739   -5536.20487328    -12.35418645    -5536.2049    -12.3542
      spss    0.000828742    0.981618 0.000813508    0.094167   -5959.01969389    -47.44648067    -5959.0197    -47.4465
      gr        0.0359309     1.23773   0.0444728     0.33081   -6834.62505339    -20.76073423    -6834.6251    -20.7607
      kho      2.71597e-9     1.76477  4.79305e-9   0.0037673   -5642.74740928   -127.75789850    -5642.7474   -127.7579

ep    cz         0.964672     1.00018    0.964850     0.96522   -7118.49762773      0.23864636    -7118.4976     -0.2386
      ep        0.0347639     1.14982   0.0399723    0.034219   -6710.58783964    -21.47229377    -6710.5878    -21.4723
      fep      1.96220e-5     1.54357  3.02878e-5  0.00056412   -6275.99144711    -69.39257140    -6275.9914    -69.3926

mu    mu         0.701730    0.958699    0.672748     0.68974   -6182.00683153     -2.64361352    -6182.0068     -2.6436
      cel       0.0207851     2.17921   0.0452951    0.079227   -6040.06715974    -20.63854867    -6040.0672    -20.6385
      fcel      0.0145744     2.17921   0.0317608    0.055554   -5705.93361500    -23.00592565    -5705.9336    -23.0059
      pa         0.143322     6.42083    0.920248     0.16847   -6144.16981983      0.55429759    -6144.1698     -0.5543
      mat      0.00109583     124.757    0.136713   0.0066667   -6431.96016347    -13.27106927    -6431.9602    -13.2711
      fmu     0.000242977     1.20607 0.000293047  0.00034613   -5743.71833078    -54.25599769    -5743.7183    -54.2560

pa    mu        0.0529375     12.7076    0.672711    0.050216   -6182.00683153     -2.64397928    -6182.0068     -2.6440
      cel      2.09610e-5     2160.55   0.0452873   0.0017225   -6040.06715974    -20.63969492    -6040.0672    -20.6397
      fcel     1.46978e-5     2160.55   0.0317553   0.0012078   -5705.93361500    -23.00707191    -5705.9336    -23.0071
      pa         0.896085     1.02701    0.920286     0.90046   -6144.16981983      0.55402550    -6144.1698     -0.5540
      mat       0.0125759     10.8716    0.136721    0.046343   -6431.96016347    -13.27066251    -6431.9602    -13.2707
      fmu      2.65612e-6     110.317 0.000293014   5.0172e-5   -5743.71833078    -54.25674765    -5743.7183    -54.2567

bi    phl       0.0640064     1.85065    0.118453     0.28655   -6445.86567264    -14.22721355    -6445.8657    -14.2272
      annm       0.114576     1.46012    0.167295     0.48664   -5452.86963530    -11.92470820    -5452.8696    -11.9247
      obi        0.126459     1.41845    0.179376    0.079510   -6116.86699353    -11.45968068    -6116.8670    -11.4597
      east     0.00448805     3.68372   0.0165327    0.069572   -6556.67763559    -27.36024738    -6556.6776    -27.3602
      tbi     0.000101846     36.7614  0.00374401    0.073166   -6396.61657900    -37.26540121    -6396.6166    -37.2654
      fbi     0.000158203     3.03064 0.000479457   0.0024524   -6146.38913483    -50.97255182    -6146.3891    -50.9726
      mmbi     7.98331e-9     1.94444  1.55230e-8   0.0021061   -5802.78111059   -119.92042041    -5802.7811   -119.9204

chl   clin      0.0608840     1.74416    0.106192     0.45875   -9231.97345481    -14.95598365    -9231.9735    -14.9560
      afchl    7.88872e-7     17.2477  1.36062e-5     0.15342   -9048.25545969    -74.72947751    -9048.2555    -74.7295
      ames     0.00274086     10.3023   0.0282371    0.093006   -9347.08441457    -23.79020153    -9347.0844    -23.7902
      daph     0.00998980     2.77406   0.0277123     0.43572   -7564.18334271    -23.91533410    -7564.1833    -23.9153
      ochl1    1.52007e-7     14.8973  2.26449e-6   3.2935e-5   -7377.46534759    -86.68872643    -7377.4653    -86.6887
      ochl4    3.57943e-7     20.2747  7.25720e-6    -0.15335   -8712.29743727    -78.92135905    -8712.2974    -78.9214
      f3clin  0.000621920     2.33972  0.00145512    0.010111   -8816.68495405    -43.56836939    -8816.6850    -43.5684
      mmchl             0     1.04672           0   0.0023197   -8149.16480207   -202.11227968    -8149.1648   -202.1123

q                                                               -936.8564
H2O                                                             -341.7071
sph                                                            -2692.4383

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

g ep mu pa bi chl q H2O sph  {10.2800, 529.762}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89938   0.33278   0.08625   0.00391
ep        f(ep)     Q(ep)
        0.01812   0.01754
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41127   0.85965   0.00036   0.16504   0.00645
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41127   0.99699   0.00005   0.90380   0.04440
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.53835   0.00192   0.06769   0.00245   0.07319   0.16143
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41220   0.53981   0.01037   0.00210   0.44972   0.10166   0.06543

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05846   0.52251   0.08625   0.33278   0.99609   0.00391
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00058   0.99942   0.03566   0.96434
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.82850   0.16504   0.00645   0.08263   0.05772   0.85965   0.99964   0.00036   0.56695   0.43305
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05180   0.90380   0.04440   0.00177   0.00124   0.99699   0.99995   0.00005   0.47931   0.52069
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.28905   0.00192   0.56570   0.00245   0.07319   0.06769   0.51354   0.00192   0.48454   0.46493   0.53507   0.92681   0.07319
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.62590   0.00210   0.28191   0.09009   0.56349   0.00210   0.43440   0.00006   0.00003   0.01037   0.98953   0.45500   0.54500

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    0.996089    0.998331    0.175371    1.575361           0           0           0    0.258758    0.003911
ep        0.500000           3    1.481879           2           0    0.036242           0           0           0           0    0.018121
mu        1.000000    3.133893    1.362700    0.006454    0.082626    0.058080    0.414252    0.082522           0           0    0.000180
pa               1    2.958610    1.519164    0.044400    0.001772    0.001290    0.025901    0.451899           0           0    0.000026
bi        0.926813    2.929861    0.568915           0    1.316128    1.537221    0.500000           0    0.073187    0.005773    0.001224
chl       4.000000    2.910008    1.084805           0    2.879944    2.029930           0           0           0    0.010507    0.005187
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         chl           q         H2O         sph
1       0.01019864  0.00831356  0.07475500  0.13762486  0.11974233              0.19919792  0.44460773  0.00555996

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13985767  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6076.0362  -5473.1064      0.7509    11.95898     3.98415
ep            -7102.2694  -6516.0850      0.7301    13.71324     3.32083
mu            -6140.5327  -5571.9819      0.7081    13.96276     2.84503
pa            -6156.9363  -5606.0355      0.6861    13.29053     2.88751
bi            -5953.0070  -5283.4342      0.8339    15.17101     3.08215
chl           -8578.4131  -7606.7010      1.2102    21.31996     2.90920
q              -936.4341   -857.4633      0.0984     2.26454     2.65307
H2O            -341.4077   -238.7062      0.1279     1.80626     0.99736
sph           -2691.4406  -2456.4047      0.2927     5.56273     3.52417

sys           -657.90726  -564.81062     0.11595     1.99624     2.09783

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000198202     4.23772 0.000839925    0.054546   -6494.33466750    -47.27887168    -6494.3347    -47.2789
      alm        0.141543     1.13935    0.161267     0.52251   -5534.24216362    -12.18117572    -5534.2422    -12.1812
      spss    0.000636671    0.981713 0.000625029    0.086253   -5956.98557887    -49.25165163    -5956.9856    -49.2517
      gr        0.0365642     1.23971   0.0453292     0.33278   -6832.35837328    -20.65341875    -6832.3584    -20.6534
      kho      3.05506e-9     1.73283  5.29389e-9   0.0039107   -5640.66066623   -127.21755578    -5640.6607   -127.2176

ep    cz         0.963779     1.00019    0.963966     0.96434   -7116.04518975      0.24499709    -7116.0452     -0.2450
      ep        0.0356406     1.14937   0.0409643    0.035081   -6708.09328889    -21.32933684    -6708.0933    -21.3293
      fep      2.06995e-5     1.54232  3.19251e-5  0.00058045   -6273.44710940    -69.10798100    -6273.4471    -69.1080

mu    mu         0.699206    0.956626    0.668878     0.68780   -6179.45707671     -2.68467124    -6179.4571     -2.6847
      cel       0.0219958     2.14365   0.0471514    0.082626   -6037.52494933    -20.39030306    -6037.5249    -20.3903
      fcel      0.0153656     2.14365   0.0329385    0.057720   -5703.40021293    -22.78504566    -5703.4002    -22.7850
      pa         0.139286     6.62268    0.922447     0.16504   -6141.78345588      0.53889953    -6141.7835     -0.5389
      mat      0.00104008     126.904    0.131991   0.0064538   -6429.61687541    -13.51849485    -6429.6169    -13.5185
      fmu     0.000251818     1.19091 0.000299893  0.00036002   -5741.12007607    -54.15413299    -5741.1201    -54.1541

pa    mu        0.0515557     12.9732    0.668841    0.048741   -6179.45707671     -2.68504023    -6179.4571     -2.6850
      cel      2.10888e-5     2235.47   0.0471433   0.0017721   -6037.52494933    -20.39145777    -6037.5249    -20.3915
      fcel     1.47319e-5     2235.47   0.0329328   0.0012380   -5703.40021293    -22.78620037    -5703.4002    -22.7862
      pa         0.899487     1.02557    0.922486     0.90380   -6141.78345588      0.53862204    -6141.7835     -0.5386
      mat       0.0120010     10.9990    0.131999    0.044400   -6429.61687541    -13.51808723    -6429.6169    -13.5181
      fmu      2.66843e-6     112.373 0.000299859   5.1756e-5   -5741.12007607    -54.15488818    -5741.1201    -54.1549

bi    phl       0.0651569     1.84112    0.119962     0.28905   -6443.14993473    -14.15643884    -6443.1499    -14.1564
      annm       0.113522     1.46450    0.166254     0.48454   -5450.13848685    -11.97786726    -5450.1385    -11.9779
      obi        0.127520     1.41521    0.180468    0.081167   -6114.14611877    -11.43021725    -6114.1461    -11.4302
      east     0.00439019     3.68540   0.0161796    0.067691   -6554.00238257    -27.53074505    -6554.0024    -27.5307
      tbi     0.000102874     36.4937  0.00375426    0.073187   -6393.99794900    -37.28307152    -6393.9979    -37.2831
      fbi     0.000158755     3.02988 0.000481007   0.0024478   -6143.66538193    -51.00012889    -6143.6654    -51.0001
      mmbi     6.09214e-9     1.94515  1.18501e-8   0.0019245   -5800.09196647   -121.83835076    -5800.0920   -121.8384

chl   clin      0.0619388     1.73357    0.107375     0.46297   -9228.17316010    -14.89640610    -9228.1732    -14.8964
      afchl    8.28159e-7     17.2373  1.42752e-5     0.15253   -9044.36223946    -74.48107004    -9044.3622    -74.4811
      ames     0.00266961     10.3822   0.0277164    0.090089   -9343.35912473    -23.93737775    -9343.3591    -23.9374
      daph     0.00985320     2.78590   0.0274500     0.43437   -7560.41781749    -24.00185858    -7560.4178    -24.0019
      ochl1    1.55272e-7     14.9957  2.32842e-6   3.3650e-5   -7373.60689685    -86.58642047    -7373.6069    -86.5864
      ochl4    3.73003e-7     20.3359  7.58536e-6    -0.15246   -8708.41117094    -78.70217225    -8708.4112    -78.7022
      f3clin  0.000649348     2.32448  0.00150940    0.010374   -8812.83615946    -43.36587128    -8812.8362    -43.3659
      mmchl             0     1.04797           0   0.0021014   -8145.18039076   -205.59564930    -8145.1804   -205.5956

q                                                               -936.4341
H2O                                                             -341.4077
sph                                                            -2691.4406

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

g ep mu pa bi chl q H2O sph  {10.5000, 530.355}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89899   0.33508   0.07899   0.00407
ep        f(ep)     Q(ep)
        0.01864   0.01804
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.41013   0.85373   0.00038   0.16151   0.00622
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.41013   0.99691   0.00005   0.90727   0.04237
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.53604   0.00176   0.06570   0.00245   0.07312   0.16157
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.41040   0.53812   0.01068   0.00190   0.45110   0.10171   0.06469

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05918   0.52675   0.07899   0.33508   0.99593   0.00407
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00060   0.99940   0.03669   0.96331
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.83227   0.16151   0.00622   0.08628   0.05999   0.85373   0.99962   0.00038   0.57002   0.42998
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.05036   0.90727   0.04237   0.00182   0.00127   0.99691   0.99995   0.00005   0.48036   0.51964
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.29177   0.00176   0.56521   0.00245   0.07312   0.06570   0.51605   0.00176   0.48219   0.46593   0.53407   0.92688   0.07312
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.62984   0.00190   0.28124   0.08702   0.56530   0.00190   0.43279   0.00006   0.00003   0.01068   0.98922   0.45654   0.54346

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    0.995925    1.005228    0.177553    1.588389           0           0           0    0.236980    0.004075
ep        0.500000           3    1.481357    2.000000           0    0.037287           0           0           0           0    0.018643
mu               1    3.140043    1.356657    0.006224    0.086279    0.060364    0.416133    0.080755           0           0    0.000188
pa        1.000000    2.960725    1.518066    0.042365    0.001823    0.001321    0.025182    0.453636           0           0    0.000027
bi        0.926882    2.931854    0.566924           0    1.323878    1.532027    0.500000           0    0.073118    0.005276    0.001223
chl       4.000000    2.913079    1.081582           0    2.891116    2.023120           0           0           0    0.009520    0.005339
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         chl           q         H2O         sph
1       0.01139031  0.00772939  0.07607226  0.13715450  0.11854030              0.19883958  0.44467848  0.00559519

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13985678  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6074.1054  -5470.8524      0.7508    11.95801     3.98323
ep            -7099.2809  -6512.3899      0.7304    13.71124     3.32154
mu            -6136.4664  -5567.0726      0.7086    13.96036     2.84638
pa            -6153.7295  -5602.3244      0.6863    13.28413     2.88849
bi            -5951.7295  -5281.6891      0.8339    15.16456     3.08225
chl           -8576.4760  -7603.9409      1.2104    21.31534     2.90866
q              -935.9942   -856.9448      0.0984     2.26336     2.65446
H2O            -341.0869   -238.4154      0.1278     1.79858     1.00162
sph           -2690.3904  -2455.0852      0.2928     5.56160     3.52489

sys           -657.53721  -564.40658     0.11591     1.99191     2.10239

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000205623     4.25319 0.000874555    0.055109   -6492.22376008    -47.04383109    -6492.2238    -47.0438
      alm        0.144963     1.13816    0.164992     0.52675   -5532.14194846    -12.03760990    -5532.1419    -12.0376
      spss    0.000488907    0.981820 0.000480019    0.078993   -5954.81654708    -51.05149426    -5954.8165    -51.0515
      gr        0.0373150     1.24065   0.0462948     0.33508   -6829.97252699    -20.52783742    -6829.9725    -20.5278
      kho      3.44214e-9     1.70033  5.85276e-9   0.0040748   -5638.43882540   -126.64091894    -5638.4388   -126.6409

ep    cz         0.962735     1.00020    0.962933     0.96331   -7113.46195149      0.25234065    -7113.4620     -0.2523
      ep        0.0366656     1.14891   0.0421255    0.036089   -6705.46213368    -21.15833432    -6705.4621    -21.1583
      fep      2.19760e-5     1.54112  3.38677e-5  0.00059901   -6270.76231535    -68.76435431    -6270.7623    -68.7644

mu    mu         0.696336    0.954608    0.664728     0.68562   -6176.78240505     -2.72823100    -6176.7824     -2.7282
      cel       0.0233231     2.10775   0.0491594    0.086279   -6034.85763248    -20.12673722    -6034.8576    -20.1267
      fcel      0.0162161     2.10775   0.0341796    0.059988   -5700.73368964    -22.55474220    -5700.7337    -22.5547
      pa         0.135132     6.84335    0.924753     0.16151   -6139.27518856      0.52261875    -6139.2752     -0.5226
      mat     0.000982091     129.392    0.127075   0.0062244   -6427.15275708    -13.78206782    -6427.1528    -13.7821
      fmu     0.000261524     1.17577 0.000307492  0.00037543   -5738.38993771    -54.02689452    -5738.3899    -54.0269

pa    mu        0.0501279     13.2599    0.664691    0.047220   -6176.78240505     -2.72860338    -6176.7824     -2.7286
      cel      2.11799e-5     2320.63   0.0491508   0.0018226   -6034.85763248    -20.12790101    -6034.8576    -20.1279
      fcel     1.47260e-5     2320.63   0.0341737   0.0012672   -5700.73368964    -22.55590599    -5700.7337    -22.5559
      pa         0.903024     1.02411    0.924792     0.90727   -6139.27518856      0.52233554    -6139.2752     -0.5223
      mat       0.0114036     11.1440    0.127082    0.042365   -6427.15275708    -13.78165920    -6427.1528    -13.7817
      fmu      2.68010e-6     114.718 0.000307457   5.3462e-5   -5738.38993771    -54.02765532    -5738.3899    -54.0277

bi    phl       0.0664445     1.83100    0.121660     0.29177   -6440.29910092    -14.07297342    -6440.2991    -14.0730
      annm       0.112374     1.46953    0.165138     0.48219   -5447.25251758    -12.03170660    -5447.2525    -12.0317
      obi        0.128714     1.41180    0.181718    0.083020   -6111.28357314    -11.39252011    -6111.2836    -11.3925
      east     0.00428757     3.68764   0.0158110    0.065701   -6551.19358209    -27.70501545    -6551.1936    -27.7050
      tbi     0.000103617     36.2708  0.00375828    0.073118   -6391.25206265    -37.30341332    -6391.2521    -37.3034
      fbi     0.000159604     3.02920 0.000483472   0.0024457   -6140.80111475    -51.00360290    -6140.8011    -51.0036
      mmbi     4.65178e-9     1.94628  9.05368e-9   0.0017587   -5797.24634769   -123.72643075    -5797.2463   -123.7264

chl   clin      0.0631475     1.72214    0.108749     0.46754   -9224.17459711    -14.82249093    -9224.1746    -14.8225
      afchl    8.70989e-7     17.2333  1.50100e-5     0.15158   -9040.27037177    -74.20069251    -9040.2704    -74.2007
      ames     0.00259643     10.4714   0.0271882    0.087020   -9339.44020901    -24.08358597    -9339.4402    -24.0836
      daph     0.00968715     2.80103   0.0271340     0.43276   -7556.42055957    -24.09692004    -7556.4206    -24.0969
      ochl1    1.58110e-7     15.1180  2.39031e-6   3.4329e-5   -7369.51633423    -86.47501896    -7369.5163    -86.4750
      ochl4    3.88922e-7     20.4135  7.93926e-6    -0.15152   -8704.31956426    -78.45559031    -8704.3196    -78.4556
      f3clin  0.000681573     2.30823  0.00157323    0.010677   -8808.78212977    -43.12115979    -8808.7821    -43.1212
      mmchl             0     1.04951           0   0.0019040   -8140.96581540   -209.03234687    -8140.9658   -209.0323

q                                                               -935.9942
H2O                                                             -341.0869
sph                                                            -2690.3904

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

g ep mu pa bi chl q H2O sph  {10.7200, 530.773}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89861   0.33771   0.07238   0.00426
ep        f(ep)     Q(ep)
        0.01925   0.01863
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40876   0.84745   0.00039   0.15788   0.00598
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40876   0.99683   0.00006   0.91085   0.04027
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.53353   0.00161   0.06362   0.00245   0.07296   0.16180
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.40836   0.53635   0.01103   0.00173   0.45252   0.10177   0.06387

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.05981   0.53010   0.07238   0.33771   0.99574   0.00426
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00062   0.99938   0.03789   0.96211
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.83613   0.15788   0.00598   0.09020   0.06236   0.84745   0.99961   0.00039   0.57329   0.42671
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04889   0.91085   0.04027   0.00187   0.00130   0.99683   0.99994   0.00006   0.48145   0.51855
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.29472   0.00161   0.56465   0.00245   0.07296   0.06362   0.51880   0.00161   0.47960   0.46697   0.53303   0.92704   0.07296
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.63408   0.00173   0.28036   0.08383   0.56735   0.00173   0.43092   0.00007   0.00003   0.01103   0.98887   0.45814   0.54186

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    0.995737    1.013119    0.179429    1.598839           0           0           0    0.217140    0.004263
ep        0.500000           3    1.480747           2           0    0.038506           0           0           0           0    0.019253
mu               1    3.146573    1.350240    0.005982    0.090197    0.062751    0.418067    0.078942           0           0    0.000196
pa        1.000000    2.962901    1.516937    0.040269    0.001874    0.001351    0.024443    0.455423           0           0    0.000028
bi        0.927039    2.933936    0.564841           0    1.332310    1.526286    0.500000           0    0.072961    0.004825    0.001224
chl       4.000000    2.916273    1.078214           0    2.903556    2.015112           0           0           0    0.008631    0.005513
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         chl           q         H2O         sph
1       0.01268267  0.00706891  0.07747845  0.13667553  0.11724738              0.19845726  0.44475326  0.00563655

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13985478  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6072.6417  -5469.2942      0.7505    11.95755     3.98209
ep            -7096.0983  -6508.7059      0.7307    13.70921     3.32228
mu            -6132.1958  -5562.1571      0.7091    13.95800     2.84775
pa            -6150.3846  -5598.6826      0.6863    13.27760     2.88948
bi            -5950.4716  -5280.2124      0.8337    15.15800     3.08226
chl           -8574.6900  -7601.7161      1.2103    21.31059     2.90796
q              -935.5376   -856.4386      0.0984     2.26217     2.65586
H2O            -340.7455   -238.1314      0.1276     1.79099     1.00587
sph           -2689.2896  -2453.7995      0.2929     5.56045     3.52561

sys           -657.14798  -564.01264     0.11585     1.98759     2.10696

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000212131     4.27411 0.000906671    0.055547   -6489.99639433    -46.82728267    -6489.9964    -46.8273
      alm        0.147697     1.13755    0.168013     0.53010   -5529.90957077    -11.92257804    -5529.9096    -11.9226
      spss    0.000375962    0.981950 0.000369176    0.072380   -5952.51784807    -52.83302779    -5952.5178    -52.8330
      gr        0.0381862     1.24053   0.0473711     0.33771   -6827.47214329    -20.38490116    -6827.4721    -20.3849
      kho      3.88840e-9     1.66735  6.48332e-9   0.0042631   -5636.08715743   -126.02299355    -5636.0872   -126.0230

ep    cz         0.961518     1.00022    0.961727     0.96211   -7110.75300818      0.26084297    -7110.7530     -0.2608
      ep        0.0378623     1.14843   0.0434821    0.037266   -6702.69969414    -20.95749506    -6702.6997    -20.9575
      fep      2.34968e-5     1.53995  3.61838e-5  0.00062020   -6267.94253542    -68.35801718    -6267.9425    -68.3580

mu    mu         0.693083    0.952672    0.660281     0.68319   -6173.98772327     -2.77451433    -6173.9877     -2.7745
      cel       0.0247765     2.07164   0.0513280    0.090197   -6032.07011146    -19.84868332    -6032.0701    -19.8487
      fcel      0.0171295     2.07164   0.0354861    0.062358   -5697.93926594    -22.31575948    -5697.9393    -22.3158
      pa         0.130871     7.08437    0.927142     0.15788   -6136.64981018      0.50564475    -6136.6498     -0.5056
      mat     0.000922683     132.229    0.122005   0.0059819   -6424.57251193    -14.06137326    -6424.5725    -14.0614
      fmu     0.000272258     1.16069 0.000316006  0.00039267   -5735.53310482    -53.87248875    -5735.5331    -53.8725

pa    mu        0.0486610     13.5682    0.660244    0.045660   -6173.98772327     -2.77489024    -6173.9877     -2.7749
      cel      2.12389e-5     2416.28   0.0513190   0.0018744   -6032.07011146    -19.84985675    -6032.0701    -19.8499
      fcel     1.46837e-5     2416.28   0.0354799   0.0012959   -5697.93926594    -22.31693291    -5697.9393    -22.3169
      pa         0.906658     1.02264    0.927182     0.91085   -6136.64981018      0.50535549    -6136.6498     -0.5054
      mat       0.0107932     11.3046    0.122013    0.040269   -6424.57251193    -14.06096349    -6424.5725    -14.0610
      fmu      2.69268e-6     117.344 0.000315970   5.5332e-5   -5735.53310482    -53.87325510    -5735.5331    -53.8733

bi    phl       0.0678730     1.82030    0.123549     0.29472   -6437.31849800    -13.97731566    -6437.3185    -13.9773
      annm       0.111128     1.47523    0.163940     0.47960   -5444.21783254    -12.08663809    -5444.2178    -12.0866
      obi        0.130036     1.40823    0.183121    0.085050   -6108.28494285    -11.34705877    -6108.2849    -11.3471
      east     0.00418089     3.69032   0.0154288    0.063617   -6548.25649641    -27.88301529    -6548.2565    -27.8830
      tbi     0.000104081     36.0908  0.00375636    0.072961   -6388.38392205    -37.32626954    -6388.3839    -37.3263
      fbi     0.000160819     3.02854 0.000487048   0.0024471   -6137.80187796    -50.98091508    -6137.8019    -50.9809
      mmbi     3.56034e-9     1.94784  6.93498e-9   0.0016084   -5794.25042649   -125.57284166    -5794.2504   -125.5728

chl   clin      0.0645119     1.70994    0.110311     0.47243   -9219.98548005    -14.73483729    -9219.9855    -14.7348
      afchl    9.17727e-7     17.2344  1.58165e-5     0.15059   -9035.98758890    -73.88953214    -9035.9876    -73.8895
      ames     0.00252188     10.5688   0.0266531    0.083829   -9335.33519375    -24.22900701    -9335.3352    -24.2290
      daph     0.00949292     2.81949   0.0267652     0.43089   -7552.20060831    -24.20094539    -7552.2006    -24.2009
      ochl1    1.60507e-7     15.2635  2.44989e-6   3.4976e-5   -7365.20271717    -86.35553689    -7365.2027    -86.3555
      ochl4    4.05779e-7     20.5056  8.32075e-6    -0.15052   -8700.03061456    -78.18276603    -8700.0306    -78.1828
      f3clin  0.000719368     2.29105  0.00164811    0.011027   -8804.53086160    -42.83281906    -8804.5309    -42.8328
      mmchl             0     1.05134           0   0.0017263   -8136.53006562   -212.40257646    -8136.5301   -212.4026

q                                                               -935.5376
H2O                                                             -340.7455
sph                                                            -2689.2896

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

g ep mu pa bi chl q H2O sph  {10.9400, 531.030}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89824   0.34066   0.06638   0.00448
ep        f(ep)     Q(ep)
        0.01996   0.01932
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40717   0.84078   0.00041   0.15418   0.00573
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40717   0.99675   0.00006   0.91448   0.03814
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.53080   0.00147   0.06146   0.00245   0.07272   0.16211
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.40607   0.53451   0.01143   0.00157   0.45396   0.10181   0.06299

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06034   0.53262   0.06638   0.34066   0.99552   0.00448
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00064   0.99936   0.03928   0.96072
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.84009   0.15418   0.00573   0.09439   0.06483   0.84078   0.99959   0.00041   0.57674   0.42326
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04738   0.91448   0.03814   0.00193   0.00132   0.99675   0.99994   0.00006   0.48255   0.51745
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.29789   0.00147   0.56400   0.00245   0.07272   0.06146   0.52176   0.00147   0.47677   0.46804   0.53196   0.92728   0.07272
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.63861   0.00157   0.27928   0.08055   0.56964   0.00157   0.42880   0.00007   0.00004   0.01143   0.98846   0.45978   0.54022

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    0.995520    1.021970    0.181016    1.606820           0           0           0    0.199154    0.004480
ep        0.500000           3    1.480036    2.000000           0    0.039929           0           0           0           0    0.019964
mu               1    3.153485    1.343444    0.005730    0.094387    0.065240    0.420046    0.077089           0           0    0.000206
pa        1.000000    2.965109    1.515790    0.038143    0.001928    0.001382    0.023689    0.457239           0           0    0.000029
bi        0.927276    2.936087    0.562686           0    1.341416    1.519983    0.500000           0    0.072724    0.004418    0.001227
chl       4.000000    2.919553    1.074731           0    2.917216    2.005934           0           0           0    0.007835    0.005716
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         chl           q         H2O         sph
1       0.01407553  0.00632715  0.07896856  0.13619515  0.11586624              0.19805191  0.44483189  0.00568357

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13985174  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6071.6306  -5468.4001      0.7501    11.95756     3.98074
ep            -7092.7186  -6505.0148      0.7308    13.70719     3.32307
mu            -6127.7287  -5557.2304      0.7094    13.95567     2.84914
pa            -6146.9188  -5595.1129      0.6862    13.27094     2.89050
bi            -5949.2508  -5279.0067      0.8335    15.15134     3.08216
chl           -8573.0649  -7600.0128      1.2100    21.30573     2.90712
q              -935.0653   -855.9439      0.0984     2.26096     2.65728
H2O            -340.3851   -237.8554      0.1275     1.78340     1.01015
sph           -2688.1415  -2452.5452      0.2930     5.55930     3.52635

sys           -656.74089  -563.62895     0.11578     1.98324     2.11157

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000217715     4.30029 0.000936236    0.055859   -6487.66017595    -46.62767931    -6487.6602    -46.6277
      alm        0.149745     1.13750    0.170336     0.53262   -5527.55365799    -11.83459978    -5527.5537    -11.8346
      spss    0.000289935    0.982118 0.000284751    0.066385   -5950.09795422    -54.58603232    -5950.0980    -54.5860
      gr        0.0391788     1.23939   0.0485577     0.34066   -6824.86470531    -20.22599540    -6824.8647    -20.2260
      kho      4.40912e-9     1.63399  7.20446e-9   0.0044800   -5633.61415950   -125.35801109    -5633.6142   -125.3580

ep    cz         0.960097     1.00023    0.960322     0.96072   -7107.92658845      0.27070527    -7107.9266     -0.2707
      ep        0.0392589     1.14791   0.0450657    0.038640   -6699.81456014    -20.72499445    -6699.8146    -20.7250
      fep      2.53200e-5     1.53878  3.89618e-5  0.00064453   -6264.99659913    -67.88524194    -6264.9966    -67.8852

mu    mu         0.689413    0.950845    0.655525     0.68047   -6171.08094941     -2.82373645    -6171.0809     -2.8237
      cel       0.0263648     2.03547   0.0536648    0.094387   -6029.17029478    -19.55733496    -6029.1703    -19.5573
      fcel      0.0181082     2.03547   0.0368586    0.064828   -5695.02535671    -22.06914757    -5695.0254    -22.0691
      pa         0.126524     7.34713    0.929589     0.15418   -6133.91504953      0.48818598    -6133.9150     -0.4882
      mat     0.000862741     135.417    0.116830   0.0057301   -6421.88374435    -14.35568041    -6421.8837    -14.3557
      fmu     0.000284220     1.14571 0.000325633  0.00041209   -5732.55794118    -53.68902171    -5732.5579    -53.6890

pa    mu        0.0471634     13.8982    0.655488    0.044068   -6171.08094941     -2.82411605    -6171.0809     -2.8241
      cel      2.12713e-5     2522.42   0.0536553   0.0019282   -6029.17029478    -19.55851851    -6029.1703    -19.5585
      fcel     1.46098e-5     2522.42   0.0368521   0.0013243   -5695.02535671    -22.07033113    -5695.0254    -22.0703
      pa         0.910343     1.02119    0.929630     0.91448   -6133.91504953      0.48789038    -6133.9150     -0.4879
      mat       0.0101791     11.4782    0.116837    0.038143   -6421.88374435    -14.35526925    -6421.8837    -14.3553
      fmu      2.70803e-6     120.234 0.000325596   5.7415e-5   -5732.55794118    -53.68979447    -5732.5579    -53.6898

bi    phl       0.0694454     1.80903    0.125629     0.29789   -6434.21670205    -13.87015338    -6434.2167    -13.8702
      annm       0.109781     1.48161    0.162653     0.47677   -5441.04425014    -12.14319573    -5441.0443    -12.1432
      obi        0.131481     1.40451    0.184667    0.087234   -6105.15921808    -11.29446981    -6105.1592    -11.2945
      east     0.00407104     3.69329   0.0150355    0.061460   -6545.19959989    -28.06456521    -6545.1996    -28.0646
      tbi     0.000104280     35.9511  0.00374898    0.072724   -6385.40158609    -37.35133103    -6385.4016    -37.3513
      fbi     0.000162488     3.02781 0.000491983   0.0024530   -6134.67659166    -50.92977787    -6134.6766    -50.9298
      mmbi     2.73515e-9     1.94981  5.33303e-9   0.0014727   -5791.11412421   -127.36912032    -5791.1141   -127.3691

chl   clin      0.0660332     1.69706    0.112062     0.47758   -9215.61828741    -14.63425226    -9215.6183    -14.6343
      afchl    9.68775e-7     17.2391  1.67008e-5     0.14955   -9031.52639630    -73.54933790    -9031.5264    -73.5493
      ames     0.00244662     10.6728   0.0261124    0.080551   -9331.05626120    -24.37377525    -9331.0563    -24.3738
      daph     0.00927223     2.84129   0.0263451     0.42876   -7547.77255364    -24.31444448    -7547.7726    -24.3144
      ochl1    1.62454e-7     15.4311  2.50684e-6   3.5596e-5   -7360.68066253    -86.22942600    -7360.6807    -86.2294
      ochl4    4.23666e-7     20.6098  8.73169e-6    -0.14949   -8695.55724955    -77.88538890    -8695.5572    -77.8854
      f3clin  0.000763688     2.27302  0.00173588    0.011432   -8800.09527918    -42.49954697    -8800.0953    -42.4995
      mmchl             0     1.05348           0   0.0015670   -8131.88764210   -215.69211319    -8131.8876   -215.6921

q                                                               -935.0653
H2O                                                             -340.3851
sph                                                            -2688.1415

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

g ep mu pa bi chl q H2O sph  {11.1600, 531.139}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89787   0.34391   0.06097   0.00473
ep        f(ep)     Q(ep)
        0.02080   0.02012
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40537   0.83375   0.00043   0.15041   0.00547
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40537   0.99666   0.00006   0.91813   0.03602
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.52786   0.00135   0.05925   0.00247   0.07241   0.16248
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.40354   0.53261   0.01190   0.00142   0.45539   0.10183   0.06204

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06078   0.53434   0.06097   0.34391   0.99527   0.00473
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00067   0.99933   0.04092   0.95908
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.84411   0.15041   0.00547   0.09886   0.06739   0.83375   0.99957   0.00043   0.58039   0.41961
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04585   0.91813   0.03602   0.00198   0.00135   0.99666   0.99994   0.00006   0.48366   0.51634
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30128   0.00135   0.56324   0.00247   0.07241   0.05925   0.52495   0.00135   0.47370   0.46914   0.53086   0.92759   0.07241
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.64338   0.00142   0.27798   0.07722   0.57215   0.00142   0.42642   0.00007   0.00004   0.01190   0.98799   0.46144   0.53856

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    0.995269    1.031731    0.182339    1.612493           0           0           0    0.182899    0.004731
ep        0.500000           3    1.479205    2.000000           0    0.041591           0           0           0           0    0.020795
mu               1    3.160775    1.336272    0.005473    0.098855    0.067826    0.422057    0.075206           0           0    0.000217
pa               1    2.967320    1.514641    0.036017    0.001985    0.001413    0.022925    0.459067           0           0    0.000030
bi        0.927587    2.938286    0.560482           0    1.351190    1.513097    0.500000           0    0.072413    0.004051    0.001233
chl              4    2.922885    1.071164           0    2.932050    1.995615           0           0           0    0.007123    0.005951
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         chl           q         H2O         sph
1       0.01556888  0.00549924  0.08053791  0.13571977  0.11439965              0.19762455  0.44491427  0.00573573

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13984776  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6071.0477  -5468.1247      0.7496    11.95805     3.97919
ep            -7089.1384  -6501.2937      0.7309    13.70519     3.32391
mu            -6123.0766  -5552.2873      0.7097    13.95335     2.85055
pa            -6143.3513  -5591.6163      0.6860    13.26417     2.89154
bi            -5948.0887  -5278.0740      0.8331    15.14457     3.08196
chl           -8571.6134  -7598.8133      1.2095    21.30074     2.90614
q              -934.5788   -855.4596      0.0984     2.25974     2.65871
H2O            -340.0074   -237.5915      0.1273     1.77595     1.01438
sph           -2686.9506  -2451.3197      0.2930     5.55813     3.52709

sys           -656.31767  -563.25668     0.11571     1.97893     2.11617

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000222410     4.33146 0.000963361    0.056049   -6485.22495373    -46.44300705    -6485.2250    -46.4430
      alm        0.151127     1.13800    0.171984     0.53434   -5525.08537803    -11.77181886    -5525.0854    -11.7718
      spss    0.000224465    0.982344 0.000220502    0.060966   -5947.56783035    -56.30338912    -5947.5678    -56.3034
      gr        0.0402918     1.23726   0.0498515     0.34391   -6822.15990406    -20.05289049    -6822.1599    -20.0529
      kho      5.02536e-9     1.60038  8.04247e-9   0.0047309   -5631.03082342   -124.63918348    -5631.0308   -124.6392

ep    cz         0.958437     1.00025    0.958681     0.95908   -7104.99334416      0.28217853    -7104.9933     -0.2822
      ep        0.0408904     1.14735   0.0469155    0.040245   -6696.81785028    -20.45880101    -6696.8179    -20.4588
      fep      2.75226e-5     1.53757  4.23181e-5  0.00067263   -6261.93593361    -67.34187207    -6261.9359    -67.3419

mu    mu         0.685293    0.949154    0.650449     0.67743   -6168.07232969     -2.87610418    -6168.0723     -2.8761
      cel       0.0280963     1.99942   0.0561762    0.098855   -6026.16841514    -19.25413584    -6026.1684    -19.2541
      fcel      0.0191539     1.99942   0.0382967    0.067392   -5692.00284599    -21.81619111    -5692.0028    -21.8162
      pa         0.122112     7.63288    0.932066     0.15041   -6131.08090527      0.47045392    -6131.0809     -0.4705
      mat     0.000803120     138.955    0.111597   0.0054731   -6419.09630260    -14.66404121    -6419.0963    -14.6640
      fmu     0.000297664     1.13089 0.000336624  0.00043417   -5729.47526454    -53.47431225    -5729.4753    -53.4743

pa    mu        0.0456447     14.2495    0.650412    0.042452   -6168.07232969     -2.87648758    -6168.0723     -2.8765
      cel      2.12838e-5     2638.92   0.0561662   0.0019845   -6026.16841514    -19.25532992    -6026.1684    -19.2553
      fcel     1.45097e-5     2638.92   0.0382899   0.0013529   -5692.00284599    -21.81738519    -5692.0028    -21.8174
      pa         0.914038     1.01977    0.932108     0.91813   -6131.08090527      0.47015167    -6131.0809     -0.4702
      mat      0.00956978     11.6621    0.111604    0.036017   -6419.09630260    -14.66362844    -6419.0963    -14.6636
      fmu      2.72837e-6     123.365 0.000336585   5.9771e-5   -5729.47526454    -53.47509167    -5729.4753    -53.4751

bi    phl       0.0711651     1.79722    0.127899     0.30128   -6431.00480013    -13.75227233    -6431.0048    -13.7523
      annm       0.108329     1.48868    0.161267     0.47370   -5437.74445824    -12.20204128    -5437.7445    -12.2020
      obi        0.133042     1.40065    0.186345    0.089546   -6101.91801950    -11.23549763    -6101.9180    -11.2355
      east     0.00395903     3.69637   0.0146340    0.059249   -6542.03384926    -28.24935797    -6542.0338    -28.2494
      tbi     0.000104240     35.8482  0.00373681    0.072413   -6382.31547639    -37.37813570    -6382.3155    -37.3781
      fbi     0.000164719     3.02690 0.000498589   0.0024651   -6131.43678411    -50.84749552    -6131.4368    -50.8475
      mmbi     2.11103e-9     1.95217  4.12110e-9   0.0013505   -5787.85025908   -129.11033244    -5787.8503   -129.1103

chl   clin      0.0677127     1.68357    0.113999     0.48296   -9211.08918335    -14.52164768    -9211.0892    -14.5216
      afchl    1.02459e-6     17.2456  1.76697e-5     0.14848   -9026.90299176    -73.18221131    -9026.9030    -73.1822
      ames     0.00237135     10.7820   0.0255680    0.077221   -9326.61919571    -24.51795898    -9326.6192    -24.5180
      daph     0.00902699     2.86644   0.0258753     0.42639   -7543.15527807    -24.43807207    -7543.1553    -24.4381
      ochl1    1.63951e-7     15.6197  2.56087e-6   3.6195e-5   -7355.96908649    -86.09853074    -7355.9691    -86.0985
      ochl4    4.42688e-7     20.7234  9.17400e-6    -0.14841   -8690.91621070    -77.56550904    -8690.9162    -77.5655
      f3clin  0.000815745     2.25423  0.00183888    0.011902   -8795.49211819    -42.11986721    -8795.4921    -42.1199
      mmchl             0     1.05594           0   0.0014245   -8127.05730720   -218.89262212    -8127.0573   -218.8926

q                                                               -934.5788
H2O                                                             -340.0074
sph                                                            -2686.9506

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

g ep mu pa bi chl q H2O sph  {11.3800, 531.117}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89749   0.34744   0.05608   0.00502
ep        f(ep)     Q(ep)
        0.02177   0.02106
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40337   0.82635   0.00046   0.14661   0.00521
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40337   0.99657   0.00006   0.92177   0.03392
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.52470   0.00124   0.05701   0.00249   0.07204   0.16292
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.40078   0.53066   0.01245   0.00130   0.45678   0.10184   0.06103

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06114   0.53534   0.05608   0.34744   0.99498   0.00502
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00071   0.99929   0.04283   0.95717
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.84818   0.14661   0.00521   0.10360   0.07004   0.82635   0.99954   0.00046   0.58422   0.41578
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04431   0.92177   0.03392   0.00204   0.00138   0.99657   0.99994   0.00006   0.48475   0.51525
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30489   0.00124   0.56235   0.00249   0.07204   0.05701   0.52837   0.00124   0.47039   0.47025   0.52975   0.92796   0.07204
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.64836   0.00130   0.27647   0.07387   0.57490   0.00130   0.42381   0.00007   0.00004   0.01245   0.98744   0.46312   0.53688

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    0.994977    1.042334    0.183430    1.616053           0           0           0    0.168229    0.005023
ep        0.500000           3    1.478231           2           0    0.043537           0           0           0           0    0.021769
mu        1.000000    3.168433    1.328730    0.005215    0.103604    0.070503    0.424088    0.073305           0           0    0.000230
pa               1    2.969509    1.513501    0.033917    0.002044    0.001444    0.022155    0.460886           0           0    0.000031
bi        0.927963    2.940508    0.558249           0    1.361630    1.505605    0.500000           0    0.072037    0.003721    0.001243
chl              4    2.926235    1.067539           0    2.948016    1.984185           0           0           0    0.006486    0.006226
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         chl           q         H2O         sph
1       0.01716335  0.00458036  0.08218277  0.13525462  0.11285000              0.19717609  0.44500037  0.00579245

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13984295  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6070.8610  -5468.4122      0.7491    11.95896     3.97745
ep            -7085.3522  -6497.5143      0.7309    13.70322     3.32480
mu            -6118.2542  -5547.3228      0.7099    13.95105     2.85198
pa            -6139.7018  -5588.1915      0.6857    13.25729     2.89261
bi            -5947.0107  -5277.4177      0.8326    15.13769     3.08166
chl           -8570.3516  -7598.0988      1.2089    21.29562     2.90502
q              -934.0796   -854.9845      0.0983     2.25851     2.66016
H2O            -339.6148   -237.3341      0.1272     1.76853     1.01864
sph           -2685.7216  -2450.1195      0.2929     5.55694     3.52784

sys           -655.88030  -562.89258     0.11562     1.97461     2.12081

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000226294     4.36730 0.000988293    0.056121   -6482.70215554    -46.27090762    -6482.7022    -46.2709
      alm        0.151882     1.13903    0.172998     0.53534   -5522.51768740    -11.73218942    -5522.5177    -11.7322
      spss    0.000174567    0.982656 0.000171540    0.056076   -5944.94019577    -57.98094394    -5944.9402    -57.9809
      gr        0.0415225     1.23421   0.0512476     0.34744   -6819.36898482    -19.86766219    -6819.3690    -19.8677
      kho      5.76654e-9     1.56663  9.03405e-9   0.0050227   -5628.34989624   -123.85839472    -5628.3499   -123.8584

ep    cz         0.956493     1.00028    0.956760     0.95717   -7101.96563284      0.29558354    -7101.9656     -0.2956
      ep        0.0428015     1.14672   0.0490813    0.042126   -6693.72246298    -20.15647525    -6693.7225    -20.1565
      fep      3.02091e-5     1.53629  4.64098e-5  0.00070530   -6258.77379435    -66.72289164    -6258.7738    -66.7229

mu    mu         0.680695    0.947627    0.645045     0.67407   -6164.97374836     -2.93181449    -6164.9737     -2.9318
      cel       0.0299786     1.96366   0.0588677     0.10360   -6023.07634032    -18.94067363    -6023.0763    -18.9407
      fcel      0.0202677     1.96366   0.0397988    0.070044   -5688.88435475    -21.55833825    -5688.8844    -21.5583
      pa         0.117660     7.94280    0.934549     0.14661   -6128.15897242      0.45265009    -6128.1590     -0.4527
      mat     0.000744598     142.835    0.106355   0.0052146   -6416.22161449    -14.98538948    -6416.2216    -14.9854
      fmu     0.000312915     1.11628 0.000349302  0.00045949   -5726.29761871    -53.22567835    -5726.2976    -53.2257

pa    mu        0.0441147     14.6212    0.645008    0.040822   -6164.97374836     -2.93220178    -6164.9737     -2.9322
      cel      2.12828e-5     2765.48   0.0588571   0.0020441   -6023.07634032    -18.94187854    -6023.0763    -18.9419
      fcel     1.43887e-5     2765.48   0.0397917   0.0013820   -5688.88435475    -21.55954316    -5688.8844    -21.5595
      pa         0.917703     1.01840    0.934592     0.92177   -6128.15897242      0.45234090    -6128.1590     -0.4523
      mat      0.00897281     11.8538    0.106362    0.033917   -6416.22161449    -14.98497488    -6416.2216    -14.9850
      fmu      2.75635e-6     126.711 0.000349261   6.2478e-5   -5726.29761871    -53.22646450    -5726.2976    -53.2265

bi    phl       0.0730363     1.78486    0.130360     0.30489   -6427.69564471    -13.62447560    -6427.6956    -13.6245
      annm       0.106767     1.49647    0.159773     0.47039   -5434.33316225    -12.26396591    -5434.3332    -12.2640
      obi        0.134712     1.39664    0.188144    0.091959   -6098.57481723    -11.17094135    -6098.5748    -11.1709
      east     0.00384593     3.69938   0.0142275    0.057007   -6538.77194656    -28.43697286    -6538.7719    -28.4370
      tbi     0.000103992     35.7784  0.00372068    0.072037   -6379.13767646    -37.40607118    -6379.1377    -37.4061
      fbi     0.000167652     3.02570 0.000507265   0.0024850   -6128.09581691    -50.73076820    -6128.0958    -50.7308
      mmbi     1.63780e-9     1.95492  3.20178e-9   0.0012405   -5784.47368608   -130.79477392    -5784.4737   -130.7948

chl   clin      0.0695529     1.66953    0.116121     0.48850   -9206.41692706    -14.39795264    -9206.4169    -14.3980
      afchl    1.08571e-6     17.2518  1.87304e-5     0.14737   -9022.13617277    -72.79041737    -9022.1362    -72.7904
      ames     0.00229678     10.8946   0.0250224    0.073874   -9322.04231814    -24.66155139    -9322.0423    -24.6616
      daph     0.00875911     2.89495   0.0253572     0.42377   -7538.37068580    -24.57268069    -7538.3707    -24.5727
      ochl1    1.64996e-7     15.8282  2.61160e-6   3.6780e-5   -7351.08993151    -85.96503957    -7351.0899    -85.9650
      ochl4    4.62966e-7     20.8432  9.64971e-6    -0.14730   -8686.12692452    -77.22537612    -8686.1269    -77.2254
      f3clin  0.000877116     2.23471  0.00196010    0.012452   -8790.74079741    -41.69182993    -8790.7408    -41.6918
      mmchl             0     1.05872           0   0.0012972   -8122.06082277   -222.00118889    -8122.0608   -222.0012

q                                                               -934.0796
H2O                                                             -339.6148
sph                                                            -2685.7216

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

g ep mu pa bi chl q H2O sph  {11.6000, 530.984}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89710   0.35123   0.05166   0.00536
ep        f(ep)     Q(ep)
        0.02291   0.02217
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.40116   0.81859   0.00049   0.14279   0.00496
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.40116   0.99648   0.00007   0.92536   0.03187
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.52131   0.00114   0.05475   0.00252   0.07160   0.16341
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.39779   0.52867   0.01310   0.00118   0.45813   0.10180   0.05995

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06144   0.53566   0.05166   0.35123   0.99464   0.00536
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00074   0.99926   0.04508   0.95492
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.85225   0.14279   0.00496   0.10863   0.07277   0.81859   0.99951   0.00049   0.58822   0.41178
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04277   0.92536   0.03187   0.00211   0.00141   0.99648   0.99993   0.00007   0.48583   0.51417
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.30870   0.00114   0.56128   0.00252   0.07160   0.05475   0.53202   0.00114   0.46684   0.47137   0.52863   0.92840   0.07160
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.65352   0.00118   0.27475   0.07054   0.57787   0.00118   0.42094   0.00007   0.00004   0.01310   0.98679   0.46479   0.53521

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    0.994636    1.053699    0.184327    1.617713           0           0           0    0.154990    0.005364
ep        0.500000           3    1.477086           2           0    0.045827           0           0           0           0    0.022914
mu        1.000000    3.176448    1.320828    0.004958    0.108633    0.073262    0.426125    0.071396           0           0    0.000244
pa        1.000000    2.971654    1.512380    0.031865    0.002108    0.001478    0.021385    0.462682           0           0    0.000033
bi        0.928395    2.942732    0.556010           0    1.372742    1.497476    0.500000           0    0.071605    0.003424    0.001258
chl              4    2.929570    1.063880           0    2.965088    1.971665           0           0           0    0.005916    0.006550
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         chl           q         H2O         sph
1       0.01886043  0.00356557  0.08390070  0.13480362  0.11121896              0.19670728  0.44509029  0.00585315

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13983742  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6071.0331  -5469.1993      0.7484    11.96028     3.97554
ep            -7081.3501  -6493.6414      0.7309    13.70131     3.32574
mu            -6113.2780  -5542.3325      0.7100    13.94874     2.85343
pa            -6135.9898  -5584.8354      0.6854    13.25034     2.89369
bi            -5946.0460  -5277.0427      0.8320    15.13070     3.08124
chl           -8569.2991  -7597.8508      1.2081    21.29037     2.90377
q              -933.5698   -854.5173      0.0983     2.25728     2.66161
H2O            -339.2096   -237.0819      0.1270     1.76123     1.02286
sph           -2684.4601  -2448.9412      0.2929     5.55575     3.52859

sys           -655.43092  -562.53532     0.11552     1.97032     2.12543

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000229473     4.40744  0.00101139    0.056078   -6480.10423779    -46.10878459    -6480.1042    -46.1088
      alm        0.152055     1.14057    0.173428     0.53566   -5519.86470803    -11.71362262    -5519.8647    -11.7136
      spss    0.000136419    0.983085 0.000134111    0.051663   -5942.22891265    -59.61702105    -5942.2289    -59.6170
      gr        0.0428661     1.23031   0.0527384     0.35123   -6816.50420510    -19.67264510    -6816.5042    -19.6726
      kho      6.67436e-9     1.53291  1.02312e-8   0.0053642   -5625.58526746   -123.00585082    -5625.5853   -123.0059

ep    cz         0.954206     1.00031    0.954501     0.95492   -7098.85692269      0.31133835    -7098.8569     -0.3113
      ep        0.0450503     1.14600   0.0516276    0.044340   -6690.54245571    -19.81496370    -6690.5425    -19.8150
      fep      3.35235e-5     1.53486  5.14540e-5  0.00074358   -6255.52462743    -66.02197632    -6255.5246    -66.0220

mu    mu         0.675595    0.946290    0.639309     0.67035   -6161.79815535     -2.99105278    -6161.7982     -2.9911
      cel       0.0320186     1.92838   0.0617439     0.10863   -6019.90700176    -18.61859726    -6019.9070    -18.6186
      fcel      0.0214493     1.92838   0.0413623    0.072773   -5685.68363395    -21.29714276    -5685.6836    -21.2971
      pa         0.113194     8.27793    0.937015     0.14279   -6125.16188389      0.43495736    -6125.1619     -0.4350
      mat     0.000687840     147.049    0.101146   0.0049580   -6413.27213646    -15.31862607    -6413.2721    -15.3186
      fmu     0.000330401     1.10195 0.000364085  0.00048881   -5723.03867019    -52.93970667    -5723.0387    -52.9397

pa    mu        0.0425833     15.0122    0.639271    0.039186   -6161.79815535     -2.99144405    -6161.7982     -2.9914
      cel      2.12752e-5     2901.62   0.0617327   0.0021076   -6019.90700176    -18.61981322    -6019.9070    -18.6198
      fcel     1.42523e-5     2901.62   0.0413547   0.0014119   -5685.68363395    -21.29835872    -5685.6836    -21.2984
      pa         0.921306     1.01710    0.937059     0.92536   -6125.16188389      0.43464098    -6125.1619     -0.4346
      mat      0.00839414     12.0504    0.101153    0.031865   -6413.27213646    -15.31820941    -6413.2721    -15.3182
      fmu      2.79508e-6     130.243 0.000364042   6.5634e-5   -5723.03867019    -52.94049959    -5723.0387    -52.9405

bi    phl       0.0750646     1.77197    0.133013     0.30870   -6424.30323577    -13.48752689    -6424.3032    -13.4875
      annm       0.105088     1.50499    0.158157     0.46684   -5430.82637962    -12.32988894    -5430.8264    -12.3299
      obi        0.136483     1.39250    0.190053    0.094445   -6095.14428372    -11.10161655    -6095.1443    -11.1016
      east     0.00373282     3.70212   0.0138193    0.054753   -6535.42772829    -28.62689203    -6535.4277    -28.6269
      tbi     0.000103575     35.7375  0.00370152    0.071605   -6375.88135078    -37.43437587    -6375.8814    -37.4344
      fbi     0.000171467     3.02409 0.000518532   0.0025151   -6124.66824312    -50.57547931    -6124.6682    -50.5755
      mmbi     1.27753e-9     1.95804  2.50146e-9   0.0011414   -5781.00058467   -132.42335542    -5781.0006   -132.4234

chl   clin      0.0715576     1.65499    0.118427     0.49416   -9201.62196820    -14.26405656    -9201.6220    -14.2641
      afchl    1.15275e-6     17.2556  1.98914e-5     0.14622   -9017.24643018    -72.37624930    -9017.2464    -72.3762
      ames     0.00222356     11.0086   0.0244782    0.070540   -9317.34560171    -24.80447327    -9317.3456    -24.8045
      daph     0.00847043     2.92686   0.0247918     0.42091   -7533.44264921    -24.71935878    -7533.4426    -24.7194
      ochl1    1.65591e-7     16.0554  2.65863e-6   3.7357e-5   -7346.06711119    -85.83144472    -7346.0671    -85.8314
      ochl4    4.84642e-7     20.9661  1.01611e-5    -0.14615   -8681.21056638    -76.86732317    -8681.2106    -76.8673
      f3clin  0.000949894     2.21450  0.00210354    0.013099   -8785.86248304    -41.21272593    -8785.8625    -41.2127
      mmchl             0     1.06183           0   0.0011832   -8116.92190425   -225.01931476    -8116.9219   -225.0193

q                                                               -933.5698
H2O                                                             -339.2096
sph                                                            -2684.4601

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

g ep mu pa bi chl q H2O sph  {11.8200, 530.758}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89668   0.35524   0.04768   0.00577
ep        f(ep)     Q(ep)
        0.02427   0.02348
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39876   0.81049   0.00052   0.13898   0.00471
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39876   0.99638   0.00007   0.92888   0.02988
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51769   0.00105   0.05251   0.00256   0.07113   0.16394
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.39457   0.52663   0.01387   0.00108   0.45939   0.10173   0.05882

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06169   0.53539   0.04768   0.35524   0.99423   0.00577
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00079   0.99921   0.04775   0.95225
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.85631   0.13898   0.00471   0.11394   0.07557   0.81049   0.99948   0.00052   0.59240   0.40760
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.04124   0.92888   0.02988   0.00218   0.00144   0.99638   0.99993   0.00007   0.48687   0.51313
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.31273   0.00105   0.56002   0.00256   0.07113   0.05251   0.53590   0.00105   0.46304   0.47247   0.52753   0.92887   0.07113
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.65884   0.00108   0.27283   0.06725   0.58108   0.00108   0.41784   0.00008   0.00004   0.01387   0.98602   0.46643   0.53357

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    0.994233    1.065734    0.185072    1.617697           0           0           0    0.143031    0.005767
ep        0.500000           3    1.475730           2           0    0.048540           0           0           0           0    0.024270
mu               1    3.184804    1.312582    0.004706    0.113941    0.076092    0.428155    0.069492           0           0    0.000262
pa               1    2.973739    1.511286    0.029879    0.002176    0.001512    0.020620    0.464440           0           0    0.000035
bi        0.928872    2.944935    0.553786           0    1.384540    1.488669    0.500000           0    0.071128    0.003156    0.001279
chl       4.000000    2.932865    1.060202           0    2.983253    1.958072           0           0           0    0.005406    0.006933
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         chl           q         H2O         sph
1       0.02066251  0.00244994  0.08569055  0.13436943  0.10950745              0.19621864  0.44518422  0.00591726

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13983131  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6071.5211  -5470.4161      0.7477    11.96197     3.97349
ep            -7077.1154  -6489.6314      0.7308    13.69950     3.32676
mu            -6108.1665  -5537.3127      0.7101    13.94642     2.85489
pa            -6132.2342  -5581.5432      0.6850    13.24333     2.89481
bi            -5945.2269  -5276.9562      0.8313    15.12359     3.08070
chl           -8568.4776  -7598.0511      1.2071    21.28501     2.90238
q              -933.0511   -854.0567      0.0983     2.25604     2.66308
H2O            -338.7942   -236.8355      0.1268     1.75403     1.02706
sph           -2683.1717  -2447.7809      0.2928     5.55456     3.52935

sys           -654.97180  -562.18437     0.11542     1.96605     2.13005

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000232080     4.45146  0.00103309    0.055924   -6477.44433259    -45.95388232    -6477.4443    -45.9539
      alm        0.151698     1.14260    0.173331     0.53539   -5517.14132837    -11.71407769    -5517.1413    -11.7141
      spss    0.000107129    0.983675 0.000105380    0.047677   -5939.44859461    -61.21174348    -5939.4486    -61.2117
      gr        0.0443158     1.22560   0.0543132     0.35524   -6813.57848724    -19.47043445    -6813.5785    -19.4704
      kho      7.80909e-9     1.49935  1.17086e-8   0.0057673   -5622.75157686   -122.06969757    -5622.7516   -122.0697

ep    cz         0.951498     1.00035    0.951828     0.95225   -7095.68141147      0.32999605    -7095.6814     -0.3300
      ep        0.0477132     1.14516   0.0546395    0.046962   -6687.29264734    -19.43040291    -6687.2926    -19.4304
      fep      3.76698e-5     1.53324  5.77567e-5  0.00078888   -6252.20366123    -65.23105779    -6252.2037    -65.2311

mu    mu         0.669977    0.945163    0.633237     0.66628   -6158.55919970     -3.05399037    -6158.5592     -3.0540
      cel       0.0342228     1.89373   0.0648086     0.11394   -6016.67402861    -18.28956728    -6016.6740    -18.2896
      fcel      0.0226976     1.89373   0.0429831    0.075569   -5682.41517606    -21.03422560    -5682.4152    -21.0342
      pa         0.108742     8.63923    0.939443     0.13898   -6122.10295270      0.41753575    -6122.1030     -0.4175
      mat     0.000633381     151.583   0.0960097   0.0047063   -6410.26100035    -15.66268265    -6410.2610    -15.6627
      fmu     0.000350691     1.08793 0.000381528  0.00052316   -5719.71282183    -52.61201929    -5719.7128    -52.6120

pa    mu        0.0410598     15.4214    0.633200    0.037552   -6158.55919970     -3.05438567    -6158.5592     -3.0544
      cel      2.12673e-5     3046.77   0.0647967   0.0021757   -6016.67402861    -18.29079441    -6016.6740    -18.2908
      fcel     1.41052e-5     3046.77   0.0429753   0.0014430   -5682.41517606    -21.03545273    -5682.4152    -21.0355
      pa         0.924817     1.01587    0.939489     0.92888   -6122.10295270      0.41721194    -6122.1030     -0.4172
      mat      0.00783834     12.2495   0.0960157    0.029879   -6410.26100035    -15.66226370    -6410.2610    -15.6623
      fmu      2.84839e-6     133.929 0.000381482   6.9367e-5   -5719.71282183    -52.61281902    -5719.7128    -52.6128

bi    phl       0.0772575     1.75854    0.135861     0.31273   -6420.84232529    -13.34212496    -6420.8423    -13.3421
      annm       0.103287     1.51429    0.156406     0.46304   -5427.24098864    -12.40085404    -5427.2410    -12.4009
      obi        0.138348     1.38823    0.192058    0.096978   -6091.64187974    -11.02833696    -6091.6419    -11.0283
      east     0.00362074     3.70438   0.0134126    0.052507   -6532.01577428    -28.81851702    -6532.0158    -28.8185
      tbi     0.000103031     35.7211  0.00368038    0.071128   -6372.56037310    -37.46213563    -6372.5604    -37.4621
      fbi     0.000176399     3.02193 0.000533066   0.0025581   -6121.16939641    -50.37648126    -6121.1694    -50.3765
      mmbi     1.00188e-9     1.96151  1.96520e-9   0.0010521   -5777.44800359   -133.99883906    -5777.4480   -133.9988

chl   clin      0.0737329     1.63998    0.120920     0.49989   -9196.72586704    -14.12079155    -9196.7259    -14.1208
      afchl    1.22647e-6     17.2546  2.11622e-5     0.14505   -9012.25536734    -71.94196544    -9012.2554    -71.9420
      ames     0.00215229     11.1222   0.0239382    0.067248   -9312.55010519    -24.94658887    -9312.5501    -24.9466
      daph     0.00816266     2.96226   0.0241799     0.41780   -7528.39633474    -24.87945098    -7528.3963    -24.8795
      ochl1    1.65730e-7     16.3003  2.70145e-6   3.7933e-5   -7340.92583504    -85.70051710    -7340.9258    -85.7005
      ochl4    5.07880e-7     21.0887  1.07105e-5    -0.14497   -8676.18946088    -76.49371103    -8676.1895    -76.4937
      f3clin   0.00103689     2.19358  0.00227450    0.013866   -8780.87948917    -40.67883822    -8780.8795    -40.6788
      mmchl             0     1.06529           0   0.0010811   -8111.66555143   -227.95165912    -8111.6656   -227.9517

q                                                               -933.0511
H2O                                                             -338.7942
sph                                                            -2683.1717

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

g ep mu pa bi chl q H2O sph  {12.0400, 530.459}  kbar/C
ovar = 4; var = 1 (seen)

g          x(g)      z(g)      m(g)      f(g)
        0.89622   0.35944   0.04407   0.00625
ep        f(ep)     Q(ep)
        0.02589   0.02505
mu        x(mu)     y(mu)     f(mu)     n(mu)     c(mu)
        0.39617   0.80206   0.00056   0.13521   0.00446
pa        x(pa)     y(pa)     f(pa)     n(pa)     c(pa)
        0.39617   0.99628   0.00007   0.93230   0.02797
bi        x(bi)     m(bi)     y(bi)     f(bi)     t(bi)     Q(bi)
        0.51383   0.00097   0.05029   0.00262   0.07062   0.16450
chl      x(chl)    y(chl)    f(chl)    m(chl)  QAl(chl)   Q1(chl)   Q4(chl)
        0.39111   0.52456   0.01478   0.00099   0.46054   0.10160   0.05762

site fractions
g          xMgX      xFeX      xMnX      xCaX      xAlY     xFe3Y
        0.06190   0.53458   0.04407   0.35944   0.99375   0.00625
ep        xFeM1     xAlM1     xFeM3     xAlM3
        0.00084   0.99916   0.05094   0.94906
mu          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.86033   0.13521   0.00446   0.11952   0.07842   0.80206   0.99944   0.00056   0.59674   0.40326
pa          xKA      xNaA      xCaA    xMgM2A    xFeM2A    xAlM2A    xAlM2B   xFe3M2B     xSiT1     xAlT1
        0.03973   0.93230   0.02797   0.00225   0.00148   0.99628   0.99993   0.00007   0.48788   0.51212
bi        xMgM3     xMnM3     xFeM3    xFe3M3     xTiM3     xAlM3    xMgM12    xMnM12    xFeM12      xSiT      xAlT      xOHV       xOV
        0.31698   0.00097   0.55853   0.00262   0.07062   0.05029   0.54003   0.00097   0.45900   0.47355   0.52645   0.92938   0.07062
chl       xMgM1     xMnM1     xFeM1     xAlM1    xMgM23    xMnM23    xFeM23     xMgM4     xFeM4    xFe3M4     xAlM4     xSiT2     xAlT2
        0.66430   0.00099   0.27069   0.06402   0.58453   0.00099   0.41448   0.00008   0.00004   0.01478   0.98510   0.46805   0.53195

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    0.993752    1.078334    0.185711    1.616236           0           0           0    0.132215    0.006248
ep        0.500000           3    1.474111    2.000000           0    0.051779           0           0           0           0    0.025889
mu        1.000000    3.193479    1.304008    0.004462    0.119524    0.078982    0.430164    0.067605           0           0    0.000282
pa               1    2.975752    1.510225    0.027973    0.002249    0.001549    0.019864    0.466150           0           0    0.000037
bi        0.929384    2.947096    0.551595           0    1.397043    1.479140    0.500000           0    0.070616    0.002915    0.001309
chl              4    2.936093    1.056514           0    3.002511    1.943420           0           0           0    0.004948    0.007392
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         chl           q         H2O         sph
1       0.02257251  0.00122881  0.08755222  0.13395351  0.10771578              0.19571053  0.44528244  0.00598422

factor           g          ep          mu          pa          bi         chl           q         H2O         sph
1       0.15281986  0.13892714  0.14554272  0.14554272  0.13982476  0.08489992  1.01879906  1.01879906  0.38204965

                       G           H           S           V         rho
g             -6072.2764  -5471.9851      0.7470    11.96399     3.97130
ep            -7072.6219  -6485.4286      0.7307    13.69782     3.32785
mu            -6102.9395  -5532.2601      0.7101    13.94408     2.85636
pa            -6128.4531  -5578.3082      0.6846    13.23628     2.89594
bi            -5944.5880  -5277.1666      0.8305    15.11637     3.08004
chl           -8567.9092  -7598.6803      1.2061    21.27953     2.90085
q              -932.5256   -853.6012      0.0982     2.25480     2.66454
H2O            -338.3712   -236.5915      0.1267     1.74694     1.03123
sph           -2681.8624  -2446.6349      0.2927     5.55336     3.53012

sys           -654.50529  -561.83733     0.11531     1.96180     2.13465

                    ideal       gamma    activity        prop               0         RT ln a
g     py      0.000234264     4.49894  0.00105394    0.055656   -6474.73608620    -45.80333763    -6474.7361    -45.8033
      alm        0.150867     1.14514    0.172765     0.53458   -5514.36302130    -11.73159455    -5514.3630    -11.7316
      spss     8.45338e-5    0.984479  8.32217e-5    0.044072   -5936.61442794    -62.76627656    -5936.6144    -62.7663
      gr        0.0458619     1.22013   0.0559574     0.35944   -6810.60525915    -19.26394313    -6810.6053    -19.2639
      kho      9.25963e-9     1.46614  1.35760e-8   0.0062477   -5619.86403532   -121.03563111    -5619.8640   -121.0356

ep    cz         0.948264     1.00039    0.948639     0.94906   -7092.45385211      0.35229729    -7092.4539     -0.3523
      ep        0.0508925     1.14418   0.0582300    0.050092   -6683.98843633    -18.99795008    -6683.9884    -18.9980
      fep      4.29420e-5     1.53133  6.57583e-5  0.00084307   -6248.82671983    -64.33992948    -6248.8267    -64.3399

mu    mu         0.663828    0.944269    0.626833     0.66182   -6155.27106159     -3.12078005    -6155.2711     -3.1208
      cel       0.0365968     1.85986   0.0680648     0.11952   -6013.39158001    -17.95523893    -6013.3916    -17.9552
      fcel      0.0240106     1.85986   0.0446564    0.078418   -5679.09403737    -20.77125476    -5679.0940    -20.7713
      pa         0.104328     9.02748    0.941817     0.13521   -6118.99600786      0.40052156    -6118.9960     -0.4005
      mat     0.000581631     156.418   0.0909776   0.0044619   -6407.20185148    -16.01656564    -6407.2019    -16.0166
      fmu     0.000374551     1.07428 0.000402373  0.00056391   -5716.33503615    -52.23704856    -5716.3350    -52.2370

pa    mu        0.0395529     15.8470    0.626795    0.035929   -6155.27106159     -3.12117940    -6155.2711     -3.1212
      cel      2.12652e-5     3200.17   0.0680521   0.0022490   -6013.39158001    -17.95647725    -6013.3916    -17.9565
      fcel     1.39518e-5     3200.17   0.0446481   0.0014756   -5679.09403737    -20.77249308    -5679.0940    -20.7725
      pa         0.928213     1.01471    0.941863     0.93230   -6118.99600786      0.40019009    -6118.9960     -0.4002
      mat      0.00730863     12.4488   0.0909834    0.027973   -6407.20185148    -16.01614418    -6407.2019    -16.0161
      fmu      2.92103e-6     137.734 0.000402325   7.3846e-5   -5716.33503615    -52.23785500    -5716.3350    -52.2379

bi    phl       0.0796240     1.74456    0.138909     0.31698   -6417.32823638    -13.18890975    -6417.3282    -13.1889
      annm       0.101354     1.52440    0.154503     0.45900   -5423.59452290    -12.47802035    -5423.5945    -12.4780
      obi        0.140300     1.38381    0.194148    0.099532   -6088.08366522    -10.95191557    -6088.0837    -10.9519
      east     0.00351070     3.70596   0.0130105    0.050286   -6528.55122881    -29.01118524    -6528.5512    -29.0112
      tbi     0.000102405     35.7245  0.00365838    0.070616   -6369.18915657    -37.48827367    -6369.1892    -37.4883
      fbi     0.000182758     3.01912 0.000551767   0.0026178   -6117.61520336    -50.12739096    -6117.6152    -50.1274
      mmbi    7.89831e-10     1.96533  1.55228e-9  0.00097152   -5773.83365352   -135.52504576    -5773.8337   -135.5250

chl   clin      0.0760860     1.62451    0.123603     0.50565   -9191.75102860    -13.96895526    -9191.7510    -13.9690
      afchl    1.30772e-6     17.2464  2.25535e-5     0.14383   -9007.18543378    -71.48980030    -9007.1854    -71.4898
      ames     0.00208350     11.2336   0.0234053    0.064022   -9307.67771266    -25.08773538    -9307.6777    -25.0877
      daph     0.00783742     3.00123   0.0235219     0.41444   -7523.25789489    -25.05455695    -7523.2579    -25.0546
      ochl1    1.65411e-7     16.5616  2.73947e-6   3.8514e-5   -7335.69230007    -85.57529319    -7335.6923    -85.5753
      ochl4    5.32864e-7     21.2074  1.13007e-5    -0.14375   -8671.08680704    -76.10693460    -8671.0868    -76.1069
      f3clin   0.00114194     2.17193  0.00248021    0.014785   -8775.81500316    -40.08524388    -8775.8150    -40.0852
      mmchl             0     1.06910           0  0.00098953   -8106.31774313   -230.80472672    -8106.3177   -230.8047

q                                                               -932.5256
H2O                                                             -338.3712
sph                                                            -2681.8624
