T = 500 K, rho = 838.025 kg m-3
nau    =  2.0479773347960e+00		res    = -3.4269320568156e+00
nau_d  =  3.8423674711375e-01		res_d  = -3.6436665036388e-01
nau_dd = -1.4763787783256e-01		res_dd =  8.5606370097461e-01
nau_t  =   9.046111061752e+00		res_t  = -5.8140343523842e+00
nau_tt = -1.9324918501305e+00		res_tt = -2.2344073688434e+00
nau_dt =  0.0000000000000e+00		res_dt = -1.1217691467031e+00
 T = 647 K, rho = 358.0 kg m-3
nau    = -1.5631960505252e+00		res    = -1.2120265650415e+00
nau_d  =  8.9944134078212e-01		res_d  = -7.1401202437128e-01
nau_dd = -8.0899472550794e-01		res_dd =  4.7573069564569e-01
nau_t  =   9.803439179390e+00		res_t  = -3.2172250077517e+00
nau_tt = -3.4331633414307e+00		res_tt = -9.9602950655930e+00
nau_dt =  0.0000000000000e+00		res_dt = -1.3321472043614e+00