YREC6 calculation                                                               
G=6.672590E-08 GAS=8.314510E+07 a=7.5640E-15 c=2.99792458E+10 sigma=5.670510E-05
 Model Number............   50
 Mass.................... 1.989100000E+33 gm (   1.00000000000 Msun)
 Radius.................. 6.959801296E+10 cm (   1.00000018628 Rsun)
 Teff....................    5779.630 K
 Luminosity.............. 3.851499859E+33 erg/s (    .99999996339 Lsun)
 Age.....................     4.70000 Gyr
 Mixing length...........   2.10721374590
 X.......................    .70791257700
 Z.......................    .02000000000
 Delta Nu................    137.3035 microHz
 No. interior pts........  617
 No. envelope points.....  725
 No. atmosphere points...  552
 Total number shells..... 1892
 ----------------------------------------------------------------------------------------------------------------------------------
 SHELL  Radius Frac     Mass Frac       Radius          Mass            Luminosity      Temperature     Density
        Pressure        Cv              Cp              Gamma1          Mean Mol  Wt    Sound Speed     Nuc Reac Rate (Eps)
        X               Z               Opacity (Kap)   d Kap/d lnRho   d Kap/d lnT     Temp Grad (Del) Ad Temp Grad
        d lnP/d lnRho   d lnP/d lnT     d lnEps/d lnRho d lnEps/d lnT   Sq Lamb Freq    Sq Brunt V Freq              
        Sq Crit Freq+   Sq Crit Freq-   alpha            Pres.Scale.Ht.  mix.length                     
 ----------------------------------------------------------------------------------------------------------------------------------
     1  1.13911231E-03  1.64070004E-07  7.92799535E+07  3.26351645E+26  5.65898042E+27  1.57981001E+07  1.56353294E+02
        2.38353869E+17  1.44302116E+08  2.37442637E+08  1.66786341E+00  8.62209258E-01  5.04240617E+07  1.79099351E+01
        3.28236653E-01  2.10971719E-02  1.26956768E+00  3.62728115E-01 -1.95223862E+00  3.32192853E-01  3.96718699E-01
        1.01361838E+00  9.89125537E-01  1.00607987E+00  1.21156834E+01  8.09056541E-01  1.43272575E-08
        8.09034242E-01  1.43276523E-08  0.00000000E-01  4.40009138E+11  0.00000000E-01
     6  1.54847434E-03  4.12125218E-07  1.07770737E+08  8.19758270E+26  1.42384900E+28  1.57976983E+07  1.56339167E+02
        2.38335641E+17  1.44307850E+08  2.37452201E+08  1.66786340E+00  8.62175347E-01  5.04244114E+07  1.79082415E+01
        3.28273697E-01  2.10981645E-02  1.26964164E+00  3.62732600E-01 -1.95222877E+00  3.32776229E-01  3.96718786E-01
        1.01361782E+00  9.89126156E-01  1.00608099E+00  1.21152211E+01  4.37834482E-01  2.59652938E-08
        4.37791491E-01  2.59678435E-08  0.00000000E-01  3.23699970E+11  0.00000000E-01
    11  2.10499165E-03  1.03521174E-06  1.46503236E+08  2.05913968E+27  3.57862398E+28  1.57969551E+07  1.56313083E+02
        2.38301960E+17  1.44318436E+08  2.37469857E+08  1.66786336E+00  8.62112745E-01  5.04250546E+07  1.79049136E+01
        3.28342091E-01  2.10979750E-02  1.26971657E+00  3.62743899E-01 -1.95219004E+00  3.33004741E-01  3.96718946E-01
        1.01361678E+00  9.89127298E-01  1.00608225E+00  1.21142963E+01  2.36934507E-01  4.79529245E-08
        2.36891360E-01  4.79616584E-08  0.00000000E-01  2.38147745E+11  0.00000000E-01
    16  2.86160655E-03  2.60033433E-06  1.99162130E+08  5.17232501E+27  8.98976633E+28  1.57955811E+07  1.56264899E+02
        2.38239735E+17  1.44337999E+08  2.37502489E+08  1.66786330E+00  8.61997071E-01  5.04262424E+07  1.78987756E+01
        3.28468492E-01  2.10977482E-02  1.26985891E+00  3.62764610E-01 -1.95211980E+00  3.33095771E-01  3.96719241E-01
        1.01361486E+00  9.89129404E-01  1.00608466E+00  1.21125923E+01  1.28212299E-01  8.85728510E-08
        1.28169174E-01  8.86026530E-08  0.00000000E-01  1.75220952E+11  0.00000000E-01
    21  3.89038454E-03  6.53174452E-06  2.70763034E+08  1.29922930E+28  2.25754102E+29  1.57930421E+07  1.56175921E+02
        2.38124792E+17  1.44374142E+08  2.37562774E+08  1.66786319E+00  8.61783453E-01  5.04284339E+07  1.78874360E+01
        3.28702010E-01  2.10973288E-02  1.27012203E+00  3.62802903E-01 -1.95199017E+00  3.33131751E-01  3.96719785E-01
        1.01361132E+00  9.89133295E-01  1.00608916E+00  1.21094468E+01  6.93748752E-02  1.63547620E-07
        6.93317896E-02  1.63649255E-07  0.00000000E-01  1.28940406E+11  0.00000000E-01
    26  5.28953189E-03  1.64070004E-05  3.68140909E+08  3.26351645E+28  5.66707075E+29  1.57883509E+07  1.56011699E+02
        2.37912533E+17  1.44440892E+08  2.37674111E+08  1.66786298E+00  8.61389210E-01  5.04324727E+07  1.78664966E+01
        3.29133286E-01  2.10965537E-02  1.27060838E+00  3.62873721E-01 -1.95175122E+00  3.33145596E-01  3.96720790E-01
        1.01360479E+00  9.89140477E-01  1.00609772E+00  1.21036468E+01  3.75337847E-02  3.01797644E-07
        3.74907722E-02  3.02143892E-07  0.00000000E-01  9.49091464E+10  0.00000000E-01
    31  7.19315633E-03  4.12125218E-05  5.00629387E+08  8.19758270E+28  1.42173763E+30  1.57796850E+07  1.55708909E+02
        2.37520779E+17  1.44564109E+08  2.37879635E+08  1.66786261E+00  8.60662420E-01  5.04398992E+07  1.78278558E+01
        3.29929394E-01  2.10951218E-02  1.27150736E+00  3.63004770E-01 -1.95131160E+00  3.33150221E-01  3.96722641E-01
        1.01359274E+00  9.89153733E-01  1.00611429E+00  1.20929728E+01  2.03023231E-02  5.56268712E-07
        2.02594444E-02  5.57446045E-07  0.00000000E-01  6.98941098E+10  0.00000000E-01
    36  9.78509040E-03  1.03521174E-04  6.81022848E+08  2.05913968E+29  3.56297249E+30  1.57636822E+07  1.55151669E+02
        2.36798477E+17  1.44791354E+08  2.38258684E+08  1.66786196E+00  8.59325270E-01  5.04534976E+07  1.77566333E+01
        3.31397631E-01  2.10924764E-02  1.27316939E+00  3.63247553E-01 -1.95050586E+00  3.33150416E-01  3.96726041E-01
        1.01357057E+00  9.89178171E-01  1.00614746E+00  1.20733969E+01  1.09771396E-02  1.02311970E-06
        1.09345032E-02  1.02710911E-06  0.00000000E-01  5.15187803E+10  0.00000000E-01
    41  1.33190757E-02  2.60033433E-04  9.26981205E+08  5.17232501E+29  8.91144405E+30  1.57341469E+07  1.54129659E+02
        2.35469218E+17  1.45209756E+08  2.38956607E+08  1.66786083E+00  8.56874280E-01  5.04782008E+07  1.76256354E+01
        3.34100931E-01  2.10875847E-02  1.27624320E+00  3.63698277E-01 -1.94903957E+00  3.33147336E-01  3.96732258E-01
        1.01352990E+00  9.89223133E-01  1.00621718E+00  1.20377248E+01  5.93056231E-03  1.87440482E-06
        5.88835803E-03  1.88783944E-06  0.00000000E-01  3.80372871E+10  0.00000000E-01
    46  1.81496978E-02  6.53174452E-04  1.26318291E+09  1.29922930E+30  2.22076876E+31  1.56796906E+07  1.52266987E+02
        2.33031395E+17  1.45977716E+08  2.40237678E+08  1.66785904E+00  8.52412195E-01  5.05224045E+07  1.73856243E+01
        3.39062706E-01  2.10785537E-02  1.28193263E+00  3.64538060E-01 -1.94640803E+00  3.33139784E-01  3.96743523E-01
        1.01345574E+00  9.89305509E-01  1.00637325E+00  1.19734907E+01  3.19937789E-03  3.40944225E-06
        3.15791204E-03  3.45421089E-06  0.00000000E-01  2.81683179E+10  0.00000000E-01
    51  2.47832120E-02  1.64070004E-03  1.72486231E+09  3.26351645E+30  5.49721345E+31  1.55794697E+07  1.48910765E+02
        2.28588779E+17  1.47379088E+08  2.42575554E+08  1.66785649E+00  8.44389627E-01  5.05992111E+07  1.69489995E+01
        3.48117015E-01  2.10617262E-02  1.29247294E+00  3.66112320E-01 -1.94181304E+00  3.33120810E-01  3.96763606E-01
        1.01332209E+00  9.89455113E-01  1.00674508E+00  1.18603535E+01  1.72110997E-03  6.12160170E-06
        1.68080429E-03  6.26839769E-06  0.00000000E-01  2.09728491E+10  0.00000000E-01
    56  3.39686678E-02  4.12125218E-03  2.36415178E+09  8.19758270E+30  1.34400362E+32  1.53957639E+07  1.42985009E+02
        2.20586172E+17  1.49908472E+08  2.46795726E+08  1.66785309E+00  8.30288800E-01  5.07250852E+07  1.61657952E+01
        3.64460009E-01  2.10298899E-02  1.30999748E+00  3.69361488E-01 -1.93679559E+00  3.32535256E-01  3.96798408E-01
        1.01308605E+00  9.89722000E-01  1.00766183E+00  1.16692539E+01  9.20714230E-04  1.07434578E-05
        8.81897275E-04  1.12163341E-05  0.00000000E-01  1.57637029E+10  0.00000000E-01
    61  4.59362202E-02  9.77681087E-03  3.19706965E+09  1.94470545E+31  3.04520164E+32  1.50886088E+07  1.33671322E+02
        2.07593014E+17  1.54025961E+08  2.53666166E+08  1.66784518E+00  8.08322973E-01  5.08938276E+07  1.49069483E+01
        3.91067404E-01  2.09776611E-02  1.33970688E+00  3.74863352E-01 -1.93302063E+00  3.31334940E-01  3.96851463E-01
        1.01271470E+00  9.90143678E-01  1.00966403E+00  1.13939051E+01  5.06822666E-04  1.75434090E-05
        4.68789810E-04  1.89667035E-05  0.00000000E-01  1.22329279E+10  0.00000000E-01
    66  5.56457932E-02  1.66947750E-02  3.87283664E+09  3.32075769E+31  4.97023788E+32  1.47934906E+07  1.25358798E+02
        1.95554925E+17  1.57846135E+08  2.60042515E+08  1.66782850E+00  7.88972222E-01  5.10073387E+07  1.37552878E+01
        4.15754591E-01  2.09248185E-02  1.36924348E+00  3.80131714E-01 -1.93369316E+00  3.29978826E-01  3.96897786E-01
        1.01237401E+00  9.90527663E-01  1.01187373E+00  1.11773228E+01  3.46926097E-04  2.31906166E-05
        3.08917602E-04  2.60439355E-05  0.00000000E-01  1.05594347E+10  0.00000000E-01
    71  6.37148667E-02  2.41524157E-02  4.43442812E+09  4.80415701E+31  6.89532333E+32  1.45235007E+07  1.18252904E+02
        1.84918760E+17  1.61215813E+08  2.65673914E+08  1.66780696E+00  7.72684896E-01  5.10690136E+07  1.27481843E+01
        4.37521278E-01  2.08806829E-02  1.39745801E+00  3.84916865E-01 -1.93755357E+00  3.28738996E-01  3.96938250E-01
        1.01205591E+00  9.90887599E-01  1.01395579E+00  1.10172468E+01  2.65258737E-04  2.76769164E-05
        2.25716160E-04  3.25255571E-05  0.00000000E-01  9.59252110E+09  0.00000000E-01
    76  7.09346668E-02  3.21723210E-02  4.93691186E+09  6.39939636E+31  8.82051791E+32  1.42667800E+07  1.11900653E+02
        1.75136100E+17  1.64302589E+08  2.70838415E+08  1.66778345E+00  7.58365801E-01  5.10906415E+07  1.18291254E+01
        4.57453402E-01  2.08378627E-02  1.42528849E+00  3.89432321E-01 -1.94361452E+00  3.27498232E-01  3.96975178E-01
        1.01175137E+00  9.91234012E-01  1.01588403E+00  1.08959585E+01  2.14191366E-04  3.14280564E-05
        1.71629340E-04  3.92218389E-05  0.00000000E-01  8.93347342E+09  0.00000000E-01
    81  7.76668746E-02  4.07972838E-02  5.40546014E+09  8.11498772E+31  1.07458835E+33  1.40171535E+07  1.06069862E+02
        1.65928804E+17  1.67191322E+08  2.75676652E+08  1.66775994E+00  7.45455308E-01  5.10777382E+07  1.09697889E+01
        4.76100812E-01  2.07968770E-02  1.45341494E+00  3.93780355E-01 -1.95135201E+00  3.26216285E-01  3.97009581E-01
        1.01145667E+00  9.91571819E-01  1.01765288E+00  1.08044324E+01  1.78578007E-04  3.46597736E-05
        1.30725050E-04  4.73472628E-05  0.00000000E-01  8.44136751E+09  0.00000000E-01
    86  8.41191515E-02  5.00876542E-02  5.85452580E+09  9.96293530E+31  1.26714729E+33  1.37706228E+07  1.00618558E+02
        1.57126531E+17  1.69932967E+08  2.80273155E+08  1.66773808E+00  7.33617267E-01  5.10328284E+07  1.01530515E+01
        4.93793390E-01  2.07570072E-02  1.48228990E+00  3.98021636E-01 -1.96038541E+00  3.24853399E-01  3.97041976E-01
        1.01116955E+00  9.91904648E-01  1.01926571E+00  1.07372375E+01  1.51965788E-04  3.74995856E-05
        9.13178328E-05  6.24046136E-05  0.00000000E-01  8.05143203E+09  0.00000000E-01
    91  9.04314437E-02  6.01230927E-02  6.29384879E+09  1.19590844E+32  1.45973179E+33  1.35241905E+07  9.54498087E+01
        1.48610841E+17  1.72562002E+08  2.84686268E+08  1.66771989E+00  7.22635241E-01  5.09564623E+07  9.36742802E+00
        5.10747546E-01  2.07178140E-02  1.51168542E+00  4.02250149E-01 -1.96906300E+00  3.23237115E-01  3.97071411E-01
        1.01088501E+00  9.92244296E-01  1.02073002E+00  1.06908029E+01  1.31097957E-04  4.00286896E-05
        0.00000000E-01  0.00000000E-01  0.00000000E-01  7.72886410E+09  0.00000000E-01
    96  9.67116534E-02  7.10067701E-02  6.73093891E+09  1.41239566E+32  1.65234269E+33  1.32753718E+07  9.04903778E+01
        1.40290677E+17  1.75103228E+08  2.88958692E+08  1.66770785E+00  7.12359952E-01  5.08479199E+07  8.60480247E+00
        5.27114933E-01  2.06789811E-02  1.54210813E+00  4.06448922E-01 -1.97789705E+00  3.21351178E-01  3.97096434E-01
        1.01059783E+00  9.92604554E-01  1.02205446E+00  1.06626433E+01  1.14136639E-04  4.23131734E-05
        0.00000000E-01  0.00000000E-01  0.00000000E-01  7.45292739E+09  0.00000000E-01
   101  1.03054237E-01  8.28727564E-02  7.17237015E+09  1.64842200E+32  1.84498095E+33  1.30216892E+07  8.56799519E+01
        1.32089195E+17  1.77574077E+08  2.93119043E+08  1.66770199E+00  7.02674806E-01  5.07052891E+07  7.85880038E+00
        5.43010499E-01  2.06401577E-02  1.57427269E+00  4.10588759E-01 -1.98758505E+00  3.19213116E-01  3.97117478E-01
        1.01030844E+00  9.92983717E-01  1.02324960E+00  1.06510677E+01  9.99565212E-05  4.43976757E-05
        0.00000000E-01  0.00000000E-01  0.00000000E-01  7.21025501E+09  0.00000000E-01
   106  1.09552233E-01  9.58973936E-02  7.62461770E+09  1.90749506E+32  2.03764595E+33  1.27605043E+07  8.09649473E+01
        1.23935535E+17  1.79988481E+08  2.97190243E+08  1.66770077E+00  6.93489785E-01  5.05252498E+07  7.12445906E+00
        5.58525813E-01  2.06009522E-02  1.60863521E+00  4.14663082E-01 -1.99803329E+00  3.16757313E-01  3.97134847E-01
        1.01001609E+00  9.93380735E-01  1.02432681E+00  1.06550540E+01  8.78235097E-05  4.63191790E-05
        0.00000000E-01  0.00000000E-01  0.00000000E-01  6.99160837E+09  0.00000000E-01
   111  1.16307533E-01  1.10316932E-01  8.09477320E+09  2.19431409E+32  2.23033520E+33  1.24887787E+07  7.62933547E+01
        1.15758552E+17  1.82358596E+08  3.01192629E+08  1.66770213E+00  6.84731785E-01  5.03028310E+07  6.39779711E+00
        5.73739899E-01  2.05609787E-02  1.64594698E+00  4.18680779E-01 -2.02420817E+00  3.13934964E-01  3.97148772E-01
        1.00971866E+00  9.93796373E-01  1.02529723E+00  1.06741424E+01  7.72334581E-05  4.81083328E-05
        0.00000000E-01  0.00000000E-01  0.00000000E-01  6.79019916E+09  0.00000000E-01
   116  1.23442786E-01  1.26456335E-01  8.59137260E+09  2.51534296E+32  2.42304428E+33  1.22026902E+07  7.16102990E+01
        1.07480513E+17  1.84696022E+08  3.05146243E+08  1.66770450E+00  6.76338349E-01  5.00307108E+07  5.67545168E+00
        5.88726873E-01  2.05197190E-02  1.68729763E+00  4.22625472E-01 -2.04239237E+00  3.10700899E-01  3.97159476E-01
        1.00941236E+00  9.94234385E-01  1.02617234E+00  1.07085472E+01  6.78231933E-05  4.97900502E-05
        0.00000000E-01  0.00000000E-01  0.00000000E-01  6.60066519E+09  0.00000000E-01
   121  1.31118699E-01  1.44778631E-01  9.12560093E+09  2.87979174E+32  2.61576674E+33  1.18972122E+07  6.68521246E+01
        9.90090818E+16  1.87011931E+08  3.09072692E+08  1.66770964E+00  6.68257335E-01  4.96981393E+07  4.95456893E+00
        6.03557819E-01  2.04766662E-02  1.73364141E+00  4.26406923E-01 -2.06380898E+00  3.06881493E-01  3.97168032E-01
        1.00908818E+00  9.94707265E-01  1.02696358E+00  1.07594094E+01  5.93181105E-05  5.13850139E-05
        0.00000000E-01  0.00000000E-01  0.00000000E-01  6.41840684E+09  0.00000000E-01
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  1011  9.94903034E-01  9.99999859E-01  6.92432743E+10  1.98909972E+33  3.85149986E+33  2.53837273E+04  4.96234904E-05
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  1021  9.95203705E-01  9.99999888E-01  6.92642004E+10  1.98909978E+33  3.85149986E+33  2.43747276E+04  4.15896640E-05
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  1056  9.96141148E-01  9.99999950E-01  6.93294445E+10  1.98909990E+33  3.85149986E+33  2.13715545E+04  2.22405361E-05
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  1061  9.96262216E-01  9.99999955E-01  6.93378706E+10  1.98909991E+33  3.85149986E+33  2.10009513E+04  2.02939497E-05
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        6.40298505E+01  1.12144224E+08  1.86581994E+08  1.63357602E+00  1.28938089E+00  7.04935380E+05  0.00000000E-01
        7.40335106E-01  1.79701859E-02  8.59844330E-04  5.41004063E-01  7.10437974E+00  9.13319992E-07  3.78185023E-01
        9.81853133E-01  1.05491945E+00  0.00000000E-01  0.00000000E-01  2.04722973E-10  3.99504671E-03
        1.04544213E-03  7.82327226E-10  0.00000000E-01  1.11267989E+07  0.00000000E-01
  1876  1.00113104E+00  1.00000000E+00  6.96767314E+10  1.98910000E+33  3.85149986E+33  4.63188578E+03  1.90704508E-10
        5.81214955E+01  1.13710664E+08  1.89218455E+08  1.63076958E+00  1.28937862E+00  7.04992037E+05  0.00000000E-01
        7.40335106E-01  1.79701859E-02  8.15913256E-04  5.21627217E-01  7.34295825E+00  7.86686974E-07  3.76293079E-01
        9.80009536E-01  1.06047893E+00  0.00000000E-01  0.00000000E-01  2.04749514E-10  3.99286115E-03
        1.04562387E-03  7.81864686E-10  0.00000000E-01  1.11480858E+07  0.00000000E-01
  1881  1.00114723E+00  1.00000000E+00  6.96778577E+10  1.98910000E+33  3.85149986E+33  4.63188449E+03  1.72125185E-10
        5.25722052E+01  1.15512056E+08  1.92258508E+08  1.62761965E+00  1.28937615E+00  7.05070184E+05  0.00000000E-01
        7.40335106E-01  1.79701859E-02  7.74244313E-04  5.01067535E-01  7.58621630E+00  6.75236474E-07  3.74173717E-01
        9.77900506E-01  1.06684042E+00  0.00000000E-01  0.00000000E-01  2.04788288E-10  3.99031291E-03
        1.04583396E-03  7.81356677E-10  0.00000000E-01  1.11724983E+07  0.00000000E-01
  1886  1.00116412E+00  1.00000000E+00  6.96790333E+10  1.98910000E+33  3.85149986E+33  4.63188333E+03  1.54675377E-10
        4.73602777E+01  1.17600056E+08  1.95793695E+08  1.62407049E+00  1.28937344E+00  7.05178343E+05  0.00000000E-01
        7.40335106E-01  1.79701859E-02  7.34721535E-04  4.79155179E-01  7.83490181E+00  5.77243589E-07  3.71790150E-01
        9.75469518E-01  1.07417451E+00  0.00000000E-01  0.00000000E-01  2.04844211E-10  3.98731174E-03
        1.04607998E-03  7.80798546E-10  0.00000000E-01  1.12007275E+07  0.00000000E-01
  1891  1.00118183E+00  1.00000000E+00  6.96802662E+10  1.98910000E+33  3.85149986E+33  4.63188231E+03  1.38286918E-10
        4.24653532E+01  1.20042635E+08  1.99945394E+08  1.62005331E+00  1.28937042E+00  7.05328570E+05  0.00000000E-01
        7.40335106E-01  1.79701859E-02  6.97243765E-04  4.55679415E-01  8.08990811E+00  4.91181356E-07  3.69097271E-01
        9.72642910E-01  1.08270348E+00  0.00000000E-01  0.00000000E-01  2.04924245E-10  3.98373809E-03
        1.03555704E-03  7.88333712E-10  0.00000000E-01  1.12336836E+07  0.00000000E-01