Index, series, Chebyshev coefficients
  0    1.000000e+00   -6.084841e-01
  2   -4.934803e+00   -9.708678e-01
  4    4.058713e+00    3.028492e-01
  6   -1.335263e+00   -2.909192e-02
  8    2.353307e-01    1.392253e-03
 10   -2.580690e-02   -4.018682e-05
 12    1.929575e-03    7.791086e-07
 14   -1.046382e-04   -1.067210e-08
 16    4.303072e-06    1.313193e-10
Index, new series, coefficient ratios
  0    1.000000e+00    1.000000e+00
  2   -4.999999e-01    9.999998e-01
  4    4.166649e-02    9.999957e-01
  6   -1.388782e-03    9.999227e-01
  8    2.477018e-05    9.987338e-01
 10   -2.708277e-07    9.827797e-01
 12    1.726352e-09    8.269252e-01
      Point tested, function value, error power series, error Cheb.
check:   -3.141593e+00   -1.000000e+00    1.005530e-04   -3.576279e-07
check:   -2.722714e+00   -9.135455e-01    1.364946e-05   -2.384186e-07
check:   -2.303835e+00   -6.691307e-01    1.311302e-06   -1.192093e-07
check:   -1.884956e+00   -3.090170e-01    1.192093e-07   -5.960464e-08
check:   -1.466077e+00    1.045284e-01   -7.450581e-09   -5.960464e-08
check:   -1.047198e+00    5.000000e-01    0.000000e+00   -2.980232e-08
check:   -6.283185e-01    8.090170e-01   -5.960464e-08    0.000000e+00
check:   -2.094395e-01    9.781476e-01   -5.960464e-08    0.000000e+00
check:    2.094395e-01    9.781476e-01   -5.960464e-08    0.000000e+00
check:    6.283185e-01    8.090170e-01   -5.960464e-08    0.000000e+00
check:    1.047198e+00    5.000000e-01    0.000000e+00   -2.980232e-08
check:    1.466077e+00    1.045284e-01   -7.450581e-09   -5.960464e-08
check:    1.884956e+00   -3.090170e-01    1.192093e-07   -5.960464e-08
check:    2.303835e+00   -6.691307e-01    1.311302e-06   -1.192093e-07
check:    2.722714e+00   -9.135455e-01    1.364946e-05   -2.384186e-07
check:    3.141593e+00   -1.000000e+00    1.005530e-04   -3.576279e-07