a(u)= 3.180070169     -3.450688327*u   -3.247090086*u^2 +3.992032627*u^3
     +1.200194704*u^4 -1.549680177*u^5 -0.187890799*u^6 +0.286983991*u^7
     +0.016720852*u^8 -0.031115111*u^9 -0.000950352*u^10+0.002215271*u^11
     +0.000035770*u^12-0.000110612*u^13-0.000000838*u^14+0.000003663*u^15

b(u)= 0.329861441     -0.003027254*u   -8.330520346*u^2 +9.444480715*u^3
     11.133767028*u^4-13.205541847*u^5 -4.313300571*u^6 +5.592822816*u^7
      0.734433497*u^8 -1.104258820*u^9 -0.069739548*u^10+0.125757870*u^11
      0.004131194*u^12-0.009312156*u^13-0.000160051*u^14+0.000479736*u^15
      0.000003822*u^16-0.000016158*u^17

c(u)=-1.000000000     -0.601533776*u  +0.443802007*u^2 +0.293604279*u^3
     -0.094027530*u^4 -0.058193081*u^5+0.011160724*u^6 +0.006427031*u^7
     -0.000847235*u^8 -0.000457454*u^9+0.000044648*u^10+0.000022730*u^11
     -0.000001582*u^12-0.000000761*u^13

d(u)= 0.210730746     +0.167219763*u   +3.062831633*u^2 +1.865595582*u^3
     -1.597931152*u^4 -1.044745269*u^5 +0.358377518*u^6 +0.223393531*u^7
     -0.044603872*u^8 -0.025974096*u^9 +0.003533563*u^10+0.001923598*u^11
     -0.000192702*u^12-0.000098574*u^13+0.000006910*u^14+0.000003335*u^15