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