 pure Helium


                             X     0.0000000000000000E+00
                             Y     1.0000000000000000E+00
                             Z     0.0000000000000000E+00
                          abar     4.0000000000000000E+00
                          zbar     2.0000000000000000E+00
                        logRho    -7.9999999999999991E+00
                          logT     2.0000000000000000E+00
                            T6     9.9999999999999991E-05

 eosDT_ideal_gas_get
                             P      2.0786181430242777E+01
                             E      3.1179271767075791E+09
                             S      4.8269426244237024E+08
                       grad_ad      3.9999999999999997E-01
                        chiRho      9.9999999999999989E-01
                          chiT      9.9999999999999989E-01
                            Cp      5.1965452945126347E+07
                            Cv      3.1179271767075807E+07
                       dE_dRho      0.0000000000000000E+00
                        gamma1      1.6666666666666663E+00
                        gamma3      1.6666666666666665E+00
                           eta      0.0000000000000000E+00


                             X     0.0000000000000000E+00
                             Y     1.0000000000000000E+00
                             Z     0.0000000000000000E+00
                          abar     4.0000000000000000E+00
                          zbar     2.0000000000000000E+00
                        logRho    -1.9999999999999998E+00
                          logT     6.0000000000000000E+00
                            T6     1.0000000000000000E+00

 eosDT_get
                             P      6.2100730711604395E+11
                             E      1.1185928203373142E+14
                             S      8.9350156636595643E+08
                       grad_ad      3.9338991045951843E-01
                        chiRho      9.9219799041748047E-01
                          chiT      1.0236392021179199E+00
                            Cp      1.6286468800000000E+08
                            Cv      9.7281368000000000E+07
                       dE_dRho     -1.4678208439910400E+14
                        gamma1      1.6610965728759766E+00
                        gamma3      1.6534556150436401E+00
                           eta     -7.3977375030517578E+00


                             X     0.0000000000000000E+00
                             Y     1.0000000000000000E+00
                             Z     0.0000000000000000E+00
                          abar     4.0000000000000000E+00
                          zbar     2.0000000000000000E+00
                        logRho    -9.9999999999999989E-01
                          logT     4.0000000000000000E+00
                            T6     1.0000000000000000E-02

 eosDT_get
                             P      2.3440638624672375E+10
                             E      3.2446068870892102E+11
                             S      2.8977776589581698E+08
                       grad_ad      3.9197054505348206E-01
                        chiRho      1.1192462444305420E+00
                          chiT      9.4195157289505005E-01
                            Cp      5.0467376000000000E+07
                            Cv      3.1885068000000000E+07
                       dE_dRho      1.3606760448000000E+11
                        gamma1      1.7666745185852051E+00
                        gamma3      1.6924794912338257E+00
                           eta     -2.0000000000000000E+01


                             X     0.0000000000000000E+00
                             Y     1.0000000000000000E+00
                             Z     0.0000000000000000E+00
                          abar     4.0000000000000000E+00
                          zbar     2.0000000000000000E+00
                        logRho    -9.9999999999999989E-01
                          logT     5.0000000000000000E+00
                            T6     9.9999999999999992E-02

 eosDT_get
                             P      3.2384020035350262E+11
                             E      9.4473079708844121E+12
                             S      4.7301064357999784E+08
                       grad_ad      2.5815799832344055E-01
                        chiRho      8.8670599460601807E-01
                          chiT      1.4448369741439819E+00
                            Cp      2.0440185600000000E+08
                            Cv      1.2816163200000000E+08
                       dE_dRho     -1.4402720890880000E+13
                        gamma1      1.4141864776611328E+00
                        gamma3      1.3650779724121094E+00
                           eta     -2.2140121459960938E+00


                             X     0.0000000000000000E+00
                             Y     1.0000000000000000E+00
                             Z     0.0000000000000000E+00
                          abar     4.0000000000000000E+00
                          zbar     2.0000000000000000E+00
                        logRho     2.0000000000000000E+00
                          logT     8.3010299956639795E+00
                            T6     2.0000000000000000E+02

 eosDT_get
                             P      5.2823694083955558E+18
                             E      1.4026771991051890E+17
                             S      1.6268307636635387E+09
                       grad_ad      2.5150709749449618E-01
                        chiRho      2.3616326439497187E-01
                          chiT      3.2915889092097514E+00
                            Cp      1.4636652945569555E+10
                            Cv      2.5195831109307227E+09
                       dE_dRho     -1.2105019150628150E+15
                        gamma1      1.3719093942351119E+00
                        gamma3      1.3450449497695054E+00
                           eta     -6.1787961578113206E+00

 pure Hydrogen


                             X     1.0000000000000000E+00
                             Y     0.0000000000000000E+00
                             Z     0.0000000000000000E+00
                          abar     1.0000000000000000E+00
                          zbar     1.0000000000000000E+00
                        logRho    -7.9999999999999991E+00
                          logT     2.0000000000000000E+00
                            T6     9.9999999999999991E-05

 eosDT_ideal_gas_get
                             P      4.1572362608293311E+01
                             E      6.2358543534151478E+09
                             S      8.9334911049387252E+08
                       grad_ad      3.9999999999999997E-01
                        chiRho      9.9999999999999989E-01
                          chiT      9.9999999999999989E-01
                            Cp      1.0393090589025269E+08
                            Cv      6.2358543534151614E+07
                       dE_dRho      0.0000000000000000E+00
                        gamma1      1.6666666666666663E+00
                        gamma3      1.6666666666666665E+00
                           eta      0.0000000000000000E+00


                             X     1.0000000000000000E+00
                             Y     0.0000000000000000E+00
                             Z     0.0000000000000000E+00
                          abar     1.0000000000000000E+00
                          zbar     1.0000000000000000E+00
                        logRho    -1.9999999999999998E+00
                          logT     6.0000000000000000E+00
                            T6     1.0000000000000000E+00

 eosDT_get
                             P      1.6452734663338088E+12
                             E      2.6126892325534112E+14
                             S      2.3899988359041352E+09
                       grad_ad      3.9710110425949097E-01
                        chiRho      9.9636244773864746E-01
                          chiT      1.0110590457916260E+00
                            Cp      4.2043520000000000E+08
                            Cv      2.5163358400000000E+08
                       dE_dRho     -1.8194795121868800E+14
                        gamma1      1.6647446155548096E+00
                        gamma3      1.6610685586929321E+00
                           eta     -6.7136702537536621E+00


                             X     1.0000000000000000E+00
                             Y     0.0000000000000000E+00
                             Z     0.0000000000000000E+00
                          abar     1.0000000000000000E+00
                          zbar     1.0000000000000000E+00
                        logRho    -9.9999999999999989E-01
                          logT     4.0000000000000000E+00
                            T6     1.0000000000000000E-02

 eosDT_get
                             P      6.9084038809327850E+10
                             E      1.8861596843913438E+12
                             S      9.1014643157590830E+08
                       grad_ad      2.2741113603115082E-01
                        chiRho      1.2436977624893188E+00
                          chiT      1.1782006025314331E+00
                            Cp      2.8870051200000000E+08
                            Cv      2.1159320000000000E+08
                       dE_dRho     -1.2310878617600000E+12
                        gamma1      1.6915541887283325E+00
                        gamma3      1.3846744298934937E+00
                           eta     -1.6593751907348633E+01


                             X     1.0000000000000000E+00
                             Y     0.0000000000000000E+00
                             Z     0.0000000000000000E+00
                          abar     1.0000000000000000E+00
                          zbar     1.0000000000000000E+00
                        logRho    -9.9999999999999989E-01
                          logT     5.0000000000000000E+00
                            T6     9.9999999999999992E-02

 eosDT_get
                             P      1.2385344803642195E+12
                             E      2.4388349335606691E+13
                             S      1.4600493430798333E+09
                       grad_ad      3.6117446422576904E-01
                        chiRho      9.6642440557479858E-01
                          chiT      1.2770934104919434E+00
                            Cp      4.5314668800000000E+08
                            Cv      2.4412790400000000E+08
                       dE_dRho     -3.4315157110784000E+13
                        gamma1      1.7938623428344727E+00
                        gamma3      1.6479052305221558E+00
                           eta     -1.2132424116134644E+00


                             X     1.0000000000000000E+00
                             Y     0.0000000000000000E+00
                             Z     0.0000000000000000E+00
                          abar     1.0000000000000000E+00
                          zbar     1.0000000000000000E+00
                        logRho     2.0000000000000000E+00
                          logT     8.3010299956639795E+00
                            T6     2.0000000000000000E+02

 eosDT_get
                             P      7.3618741187337011E+18
                             E      1.7196947611641594E+17
                             S      3.0137710342560372E+09
                       grad_ad      2.5713263652572715E-01
                        chiRho      4.5204384664932790E-01
                          chiT      2.6440943671058545E+00
                            Cp      8.3733178570006161E+09
                            Cv      2.6804417622223773E+09
                       dE_dRho     -1.2103615769952485E+15
                        gamma1      1.4121205193273070E+00
                        gamma3      1.3631022722267094E+00
                           eta     -5.4849390367623254E+00

 mixed Z with H&He 3:1 ratio


                             X     7.2750000000000004E-01
                             Y     2.4249999999999994E-01
                             Z     2.9999999999999999E-02
                          abar     1.2658784082055623E+00
                          zbar     1.0934024750875544E+00
                        logRho    -7.9999999999999991E+00
                          logT     2.0000000000000000E+00
                            T6     9.9999999999999991E-05

 eosDT_ideal_gas_get
                             P      3.5437552954969995E+01
                             E      5.3156329054166489E+09
                             S      7.7566330522210610E+08
                       grad_ad      4.0000000000000002E-01
                        chiRho      9.9999999999999989E-01
                          chiT      9.9999999999999989E-01
                            Cp      8.8593881756944418E+07
                            Cv      5.3156329054166645E+07
                       dE_dRho     -6.4000000000000000E+01
                        gamma1      1.6666666666666665E+00
                        gamma3      1.6666666666666665E+00
                           eta      0.0000000000000000E+00


                             X     7.2750000000000004E-01
                             Y     2.4249999999999994E-01
                             Z     2.9999999999999999E-02
                          abar     1.2658784082055623E+00
                          zbar     1.0934024750875544E+00
                        logRho    -1.9999999999999998E+00
                          logT     6.0000000000000000E+00
                            T6     1.0000000000000000E+00

 eosDT_get
                             P      1.3599348740904390E+12
                             E      2.2040688629184984E+14
                             S      2.0014924245463560E+09
                       grad_ad      3.9377416513508057E-01
                        chiRho      9.9553469327592725E-01
                          chiT      1.0149607386929853E+00
                            Cp      3.5189573140490812E+08
                            Cv      2.1125497376691401E+08
                       dE_dRho     -2.0358516796417634E+14
                        gamma1      1.6583048452694924E+00
                        gamma3      1.6530025831337256E+00
                           eta     -6.8617364751643590E+00


                             X     7.2750000000000004E-01
                             Y     2.4249999999999994E-01
                             Z     2.9999999999999999E-02
                          abar     1.2658784082055623E+00
                          zbar     1.0934024750875544E+00
                        logRho    -9.9999999999999989E-01
                          logT     4.0000000000000000E+00
                            T6     1.0000000000000000E-02

 eosDT_get
                             P      5.5658388354025932E+10
                             E      1.4847640694276655E+12
                             S      7.6549681256073368E+08
                       grad_ad      2.3704500850479954E-01
                        chiRho      1.1951386164874707E+00
                          chiT      1.1870476026598187E+00
                            Cp      2.3134218457746673E+08
                            Cv      1.6582777888110247E+08
                       dE_dRho     -1.0368118499224717E+12
                        gamma1      1.6762361618109858E+00
                        gamma3      1.3973145197664265E+00
                           eta     -1.8508271136783062E+01


                             X     7.2750000000000004E-01
                             Y     2.4249999999999994E-01
                             Z     2.9999999999999999E-02
                          abar     1.2658784082055623E+00
                          zbar     1.0934024750875544E+00
                        logRho    -9.9999999999999989E-01
                          logT     5.0000000000000000E+00
                            T6     9.9999999999999992E-02

 eosDT_get
                             P      9.8609567696208118E+11
                             E      2.0334640371879887E+13
                             S      1.2180980793278697E+09
                       grad_ad      3.5162713742077528E-01
                        chiRho      9.4783533859679991E-01
                          chiT      1.2891698677771632E+00
                            Cp      3.8122980348857021E+08
                            Cv      2.0847089785030460E+08
                       dE_dRho     -2.8507461566262262E+13
                        gamma1      1.7336592341042700E+00
                        gamma3      1.6094760649679949E+00
                           eta     -1.3851456100218633E+00


                             X     7.2750000000000004E-01
                             Y     2.4249999999999994E-01
                             Z     2.9999999999999999E-02
                          abar     1.2658784082055623E+00
                          zbar     1.0934024750875544E+00
                        logRho     2.0000000000000000E+00
                          logT     8.3010299956639795E+00
                            T6     2.0000000000000000E+02

 eosDT_get
                             P      6.7857460510208031E+18
                             E      1.6318907006851360E+17
                             S      2.6488760220793977E+09
                       grad_ad      2.5540384895898643E-01
                        chiRho      4.0547888444541097E-01
                          chiT      2.7837493952657169E+00
                            Cp      9.1201516918163528E+09
                            Cv      2.6359034139181156E+09
                       dE_dRho     -1.2104070414935085E+15
                        gamma1      1.4029455383092810E+00
                        gamma3      1.3583176903640275E+00
                           eta     -5.6315681957006136E+00

 solar


                             X     6.9999999999999996E-01
                             Y     2.8000000000000003E-01
                             Z     2.0000000000000000E-02
                          abar     1.2966353410255222E+00
                          zbar     1.1021400398716941E+00
                        logRho    -7.9999999999999991E+00
                          logT     2.0000000000000000E+00
                            T6     9.9999999999999991E-05

 eosDT_ideal_gas_get
                             P      3.5022791400008479E+01
                             E      5.2534186721724291E+09
                             S      7.6761574441469705E+08
                       grad_ad      4.0000000000000002E-01
                        chiRho      1.0000000000000000E+00
                          chiT      9.9999999999999989E-01
                            Cp      8.7556977869540587E+07
                            Cv      5.2534186721724361E+07
                       dE_dRho      0.0000000000000000E+00
                        gamma1      1.6666666666666665E+00
                        gamma3      1.6666666666666665E+00
                           eta      0.0000000000000000E+00


                             X     6.9999999999999996E-01
                             Y     2.8000000000000003E-01
                             Z     2.0000000000000000E-02
                          abar     1.2966353410255222E+00
                          zbar     1.1021400398716941E+00
                        logRho    -1.9999999999999998E+00
                          logT     6.0000000000000000E+00
                            T6     1.0000000000000000E+00

 eosDT_get
                             P      1.3340183284790940E+12
                             E      2.1637192635845825E+14
                             S      1.9656824218299994E+09
                       grad_ad      3.9461383223533619E-01
                        chiRho      9.9556837975978840E-01
                          chiT      1.0144154727458952E+00
                            Cp      3.4427977199999994E+08
                            Cv      2.0646320799999994E+08
                       dE_dRho     -1.9240320604569597E+14
                        gamma1      1.6601237207651134E+00
                        gamma3      1.6551114171743389E+00
                           eta     -6.8766250014305115E+00


                             X     6.9999999999999996E-01
                             Y     2.8000000000000003E-01
                             Z     2.0000000000000000E-02
                          abar     1.2966353410255222E+00
                          zbar     1.1021400398716941E+00
                        logRho    -9.9999999999999989E-01
                          logT     4.0000000000000000E+00
                            T6     1.0000000000000000E-02

 eosDT_get
                             P      5.4349169194705383E+10
                             E      1.4432344794897549E+12
                             S      7.4976387301004088E+08
                       grad_ad      2.3836730606853962E-01
                        chiRho      1.1904707551002500E+00
                          chiT      1.1866070926189423E+00
                            Cp      2.2529114800000000E+08
                            Cv      1.6110450899999997E+08
                       dE_dRho     -1.0104535367679999E+12
                        gamma1      1.6752357631921768E+00
                        gamma3      1.3992923349142072E+00
                           eta     -1.8668740510940548E+01


                             X     6.9999999999999996E-01
                             Y     2.8000000000000003E-01
                             Z     2.0000000000000000E-02
                          abar     1.2966353410255222E+00
                          zbar     1.1021400398716941E+00
                        logRho    -9.9999999999999989E-01
                          logT     5.0000000000000000E+00
                            T6     9.9999999999999992E-02

 eosDT_get
                             P      9.6136638084116028E+11
                             E      1.9942384666711414E+13
                             S      1.1939397354527366E+09
                       grad_ad      3.5011287778615946E-01
                        chiRho      9.4570561498403538E-01
                          chiT      1.2902790755033491E+00
                            Cp      3.7445807599999994E+08
                            Cv      2.0534408599999997E+08
                       dE_dRho     -2.7901917659135992E+13
                        gamma1      1.7248612940311432E+00
                        gamma3      1.6037879586219783E+00
                           eta     -1.4041098654270170E+00


                             X     6.9999999999999996E-01
                             Y     2.8000000000000003E-01
                             Z     2.0000000000000000E-02
                          abar     1.2966353410255222E+00
                          zbar     1.1021400398716941E+00
                        logRho     2.0000000000000000E+00
                          logT     8.3010299956639795E+00
                            T6     2.0000000000000000E+02

 eosDT_get
                             P      6.7316945747435786E+18
                             E      1.6236433178368163E+17
                             S      2.6147592264309421E+09
                       grad_ad      2.5524608970074658E-01
                        chiRho      4.0070135790575373E-01
                          chiT      2.7980779675300669E+00
                            Cp      9.2081907596452961E+09
                            Cv      2.6317151007345662E+09
                       dE_dRho     -1.2104111698988128E+15
                        gamma1      1.4020265872302069E+00
                        gamma3      1.3578618040469930E+00
                           eta     -5.6476423717688036E+00



                     tolerance  1.0000000000000000E-04

                 actual logRho -7.0000000000000000E+00
                  guess logRho -7.3010299956639804E+00
                  found logRho -6.9952407247524064E+00
                   wanted logS  9.4724733362637057E+00
                      got logS  9.4724728896669514E+00


                   actual logT  4.7999999999999989E+00
                    guess logT  5.1010299956639802E+00
                    found logT  4.7975191771579739E+00
                   wanted logS  9.4724733362637057E+00
                      got logS  9.4724739251056835E+00


 test_theta_e
           eta           theta_e
        -10.00      9.999839E-01
         -5.00      9.976295E-01
          0.00      7.905652E-01
          5.00      2.796166E-01
         10.00      1.475121E-01
         15.00      9.926693E-02
         20.00      7.469115E-02
         25.00      5.984195E-02
         30.00      4.990856E-02
         35.00      4.279957E-02
         40.00      3.746143E-02
         45.00      3.330625E-02
         50.00      2.998026E-02
         55.00      2.725789E-02
         60.00      2.498858E-02
         65.00      2.306794E-02
         70.00      2.142138E-02
         75.00      1.999415E-02

 test_theta_e
           eta           theta_e
        -10.00      9.999839E-01
         -5.00      9.976295E-01
          0.00      7.905652E-01
          5.00      2.796166E-01
         10.00      1.475121E-01
         15.00      9.926693E-02
         20.00      7.469115E-02
         25.00      5.984195E-02
         30.00      4.990856E-02
         35.00      4.279957E-02
         40.00      3.746143E-02
         45.00      3.330625E-02
         50.00      2.998026E-02
         55.00      2.725789E-02
         60.00      2.498858E-02
         65.00      2.306794E-02
         70.00      2.142138E-02
         75.00      1.999415E-02

 test1_eosPT
                                                   logT    8.1499996185299999D+00
                                                logPgas    1.8410894721399998D+01
                                                      T    1.4125363038967377D+08
                                                   Pgas    2.5756966991208428D+18
                                                      Z    2.0000000000000000D-02
                                                      X    6.9999999999999996D-01
                                                   abar    1.2966353410255222D+00
                                                   zbar    1.1021400398716941D+00


                                                    rho    1.3518989688506826D+02
                                                 logRho    2.1309442367904228D+00

                                     dlnRho_dlnPgas_c_T    9.9932039926886052D-01
                                     dlnRho_dlnT_c_Pgas   -9.9833679063536174D-01
                                                      P    3.5796885867451167D+18
                                                      E    5.1291168953032496D+16
                                                      S    1.9045982716674967D+09
                                                grad_ad    2.7841791063140992D-01
                                                 chiRho    7.2002026780695272D-01
                                                   chiT    1.8406989573287436D+00
                                                     Cp    1.7212433148550162D+09
                                                     Cv    8.3913441701713085D+08
                                                dE_dRho   -1.6466347723786325D+14
                                                  dS_dT    5.9406219486340017D+00
                                                dS_dRho   -2.5523481955743153D+06
                                                     mu    6.1681682306220842D-01
                                               lnfree_e   -1.6251977471237661D-01
                                                 gamma1    1.4769148391365943D+00
                                                 gamma3    1.4111995436929354D+00
                                                    eta   -4.8048788764514478D+00

 test1_eosDE
                                                 logRho   -4.0110001564025879D+00
                                                   logE    1.4010999679565430D+01
                                             logT_guess    4.0000000000000000D+00
                                                      Z    2.0000000000000000D-02
                                                      X    6.9999999999999996D-01
                                                   abar    1.2966353410255222D+00
                                                   zbar    1.1021400398716941D+00


                                                      T    4.1862472895046195D+05
                                                   logT    5.6218248793526850D+00

                                                logPgas    9.7363291860338457D+00
                                                   logS    9.3832936579210369D+00
                                                grad_ad    3.8322696462273592D-01
                                                 chiRho    9.8532425612211216D-01
                                                   chiT    1.0445627272129057D+00
                                                     Cp    3.7461545199999994D+08
                                                     Cv    2.2462351199999994D+08
                                                dE_dRho   -2.5969642430267388D+16
                                                  dS_dT    5.3687567138671864D+02
                                                dS_dRho   -1.4504996044799998D+12
                                                     mu    6.2090670317411412D-01
                                               lnfree_e   -1.7741086147725579D-01
                                                 gamma1    1.6432402133941646D+00
                                                 gamma3    1.6296969205141061D+00
                                                    eta   -1.0188740968704222D+01
                                        dlnT_dlnE_c_Rho    1.0920759237444677D+00
                                          dlnT_dlnd_c_E    2.7025933610275381D-02
                                     dlnPgas_dlnE_c_Rho    1.0955722733463114D+00
                                       dlnPgas_dlnd_c_E    1.0262666046619413D+00

 test1_eosDE
                                                 logRho    6.0000000000000000D+00
                                                   logE    1.7200000762939453D+01
                                             logT_guess    8.0000000000000000D+00
                                                      Z    2.0000000000000000D-02
                                                      X    6.9999999999999996D-01
                                                   abar    1.2966353410255222D+00
                                                   zbar    1.1021400398716941D+00


                                                      T    4.3532412817404622D+08
                                                   logT    8.6388127389296141D+00

                                                logPgas    2.2981131828016498D+01
                                                   logS    8.8960049393456480D+00
                                                grad_ad    3.8023569007452512D-01
                                                 chiRho    1.2909108754761096D+00
                                                   chiT    4.5209134270479867D-01
                                                     Cp    2.0277142432134649D+08
                                                     Cv    1.6791476024432549D+08
                                                dE_dRho    5.2511037727308090D+10
                                                  dS_dT    3.8572353190860076D-01
                                                dS_dRho   -9.9530432214503506D+01
                                                     mu    6.1681682306220842D-01
                                               lnfree_e   -1.6251977471242204D-01
                                                 gamma1    1.5588852136127385D+00
                                                 gamma3    1.5927437949450129D+00
                                                    eta    4.9416725654632341D+00
                                        dlnT_dlnE_c_Rho    2.1681990526056674D+00
                                          dlnT_dlnd_c_E   -7.1837132484186605D-01
                                     dlnPgas_dlnE_c_Rho    9.7294752255115280D-01
                                       dlnPgas_dlnd_c_E    9.6977336867792308D-01

