Tue Oct 19 11:57:14 2021 lebesgue_test: Python version: 3.6.9 Test lebesgue() lebesgue_chebyshev1_test: Python version: 3.6.9 Analyze chebyshev1 points. chebyshev1 lebesgue constants: 0: 1 1: 1.41421 2: 1.66667 3: 1.84776 4: 1.98885 5: 2.1044 6: 2.20221 7: 2.28702 8: 2.36186 9: 2.42883 10: 2.48943 11: 2.54477 12: 2.59568 13: 2.64282 14: 2.68671 15: 2.72778 16: 2.76635 17: 2.80273 18: 2.83713 19: 2.86977 20: 2.90082 chebyshev1 lebesgue constants/log(N+1): 0: 1.4427 1: 1.28727 2: 1.20225 3: 1.14808 4: 1.11 5: 1.08145 6: 1.05904 7: 1.04087 8: 1.02574 9: 1.0129 10: 1.00182 11: 0.992131 12: 0.983563 13: 0.975913 14: 0.969028 15: 0.962786 16: 0.957093 17: 0.951871 18: 0.947058 19: 0.942602 20: 0.938462 chebyshev1 points for N = 11 0: 0.989821 1: 0.909632 2: 0.75575 3: 0.540641 4: 0.281733 5: 2.83277e-16 6: -0.281733 7: -0.540641 8: -0.75575 9: -0.909632 10: -0.989821 Plot file saved as "chebyshev1.png" lebesgue_chebyshev1_test Normal end of execution. lebesgue_chebyshev2_test: Python version: 3.6.9 Analyze chebyshev2 points. chebyshev2 lebesgue constants for N = 1 to 11: 0: 1 1: 1 2: 1.25 3: 1.66667 4: 1.79876 5: 1.98885 6: 2.08255 7: 2.20221 8: 2.27461 9: 2.36186 10: 2.42097 chebyshev2 lebesgue constants/log(N+1): 0: 1.4427 1: 0.910239 2: 0.901684 3: 1.03556 4: 1.00391 5: 1.02207 6: 1.00149 7: 1.00227 8: 0.987852 9: 0.984971 10: 0.974269 chebyshev2 points for N = 11 0: -1 1: -0.951057 2: -0.809017 3: -0.587785 4: -0.309017 5: 6.12323e-17 6: 0.309017 7: 0.587785 8: 0.809017 9: 0.951057 10: 1 Plot file saved as "chebyshev2.png" lebesgue_chebyshev2_test Normal end of execution. lebesgue_chebyshev3_test: Python version: 3.6.9 Analyze chebyshev3 points. chebyshev3 lebesgue constants for N = 1 to 11: 0: 1 1: 2.23607 2: 3.49396 3: 4.75877 4: 6.02667 5: 7.29623 6: 8.56677 7: 9.83795 8: 11.1096 9: 12.3815 10: 13.6536 chebyshev3 lebesgue constants/log(N+1): 0: 1.4427 1: 2.03536 2: 2.52036 3: 2.95679 4: 3.36355 5: 3.74952 6: 4.11975 7: 4.47744 8: 4.82482 9: 5.16348 10: 5.49463 chebyshev3 points for N = 11 0: -0.962917 1: -0.854419 2: -0.682553 3: -0.460065 4: -0.203456 5: 0.0682424 6: 0.33488 7: 0.57668 8: 0.775711 9: 0.917211 10: 0.990686 Plot file saved as "chebyshev3.png" lebesgue_chebyshev3_test Normal end of execution. lebesgue_chebyshev4_test: Python version: 3.6.9 Analyze chebyshev4 points. chebyshev4 lebesgue constants for N = 1 to 11: 0: 1 1: 2.23607 2: 3.49396 3: 4.75877 4: 6.02667 5: 7.29623 6: 8.56677 7: 9.83795 8: 11.1096 9: 12.3815 10: 13.6536 chebyshev4 lebesgue constants/log(N+1): 0: 1.4427 1: 2.03536 2: 2.52036 3: 2.95679 4: 3.36355 5: 3.74952 6: 4.11975 7: 4.47744 8: 4.82482 9: 5.16348 10: 5.49463 chebyshev4 points for N = 11 0: -0.990686 1: -0.917211 2: -0.775711 3: -0.57668 4: -0.33488 5: -0.0682424 6: 0.203456 7: 0.460065 8: 0.682553 9: 0.854419 10: 0.962917 Plot file saved as "chebyshev4.png" lebesgue_chebyshev4_test Normal end of execution. lebesgue_equidistant1_test: Python version: 3.6.9 Analyze equidistant1 points. equidistant1 lebesgue constants for N = 1 to 11: 0: 1 1: 3 2: 7 3: 15 4: 31 5: 63 6: 127 7: 255 8: 511 9: 1023 10: 2047 equidistant1 points for N = 11 0: -0.833333 1: -0.666667 2: -0.5 3: -0.333333 4: -0.166667 5: 0 6: 0.166667 7: 0.333333 8: 0.5 9: 0.666667 10: 0.833333 Plot file saved as "equidistant1.png" lebesgue_equidistant1_test Normal end of execution. lebesgue_equidistant2_test: Python version: 3.6.9 Analyze equidistant2 points. equidistant2 lebesgue constants for N = 1 to 11: 0: 1 1: 1 2: 1.25 3: 1.63112 4: 2.20782 5: 3.10628 6: 4.54872 7: 6.92945 8: 10.9444 9: 17.8449 10: 29.8907 equidistant2 points for N = 11 0: -1 1: -0.8 2: -0.6 3: -0.4 4: -0.2 5: 0 6: 0.2 7: 0.4 8: 0.6 9: 0.8 10: 1 Plot file saved as "equidistant2.png" lebesgue_equidistant2_test Normal end of execution. lebesgue_equidistant3_test: Python version: 3.6.9 Analyze equidistant3 points. equidistant3 lebesgue constants for N = 1 to 11: 0: 1 1: 2 2: 3.5 3: 6 4: 10.375 5: 18.25 6: 32.6875 7: 59.5 8: 109.773 9: 204.734 10: 385.16 equidistant3 points for N = 11 0: -0.909091 1: -0.727273 2: -0.545455 3: -0.363636 4: -0.181818 5: 0 6: 0.181818 7: 0.363636 8: 0.545455 9: 0.727273 10: 0.909091 Plot file saved as "equidistant3.png" lebesgue_equidistant3_test Normal end of execution. lebesgue_fejer1_test: Python version: 3.6.9 Analyze Fejer1 points. Fejer1 lebesgue constants for N = 1 to 11: 0: 1 1: 1.41421 2: 1.66667 3: 1.84776 4: 1.98885 5: 2.1044 6: 2.20221 7: 2.28702 8: 2.36186 9: 2.42883 10: 2.48943 Fejer1 points for N = 11 0: -0.989821 1: -0.909632 2: -0.75575 3: -0.540641 4: -0.281733 5: 2.83277e-16 6: 0.281733 7: 0.540641 8: 0.75575 9: 0.909632 10: 0.989821 Plot file saved as "fejer1.png" lebesgue_fejer1_test Normal end of execution. lebesgue_fejer2_test: Python version: 3.6.9 Analyze Fejer2 points. Fejer2 lebesgue constants for N = 1 to 11: 0: 1 1: 2 2: 3 3: 4 4: 5 5: 6 6: 7 7: 8 8: 9 9: 10 10: 11 Fejer2 points for N = 11 0: -0.965926 1: -0.866025 2: -0.707107 3: -0.5 4: -0.258819 5: 6.12323e-17 6: 0.258819 7: 0.5 8: 0.707107 9: 0.866025 10: 0.965926 Plot file saved as "fejer2.png" lebesgue_fejer2_test Normal end of execution. lebesgue_test: Normal end of execution. Tue Oct 19 11:57:18 2021