4 July 2007 7:51:52.447 AM NINT_EXACTNESS_TET FORTRAN90 version Investigate the polynomial exactness of a quadrature rule for a tetrahedron by integrating all monomials of a given degree. The rule will be adjusted to the unit tetrahedron. NINT_EXACTNESS_TET: User input: Quadrature rule X file = "keast7_x.txt". Quadrature rule W file = "keast7_w.txt". Quadrature rule R file = "keast7_r.txt". Maximum total degree to check = 8 Spatial dimension = 3 Number of points = 24 Error Degree Exponents 0.0000000000000002 0 0 0 0 0.0000000000000004 1 1 0 0 0.0000000000000004 1 0 1 0 0.0000000000000004 1 0 0 1 0.0000000000000007 2 2 0 0 0.0000000000000002 2 1 1 0 0.0000000000000007 2 0 2 0 0.0000000000000002 2 1 0 1 0.0000000000000002 2 0 1 1 0.0000000000000007 2 0 0 2 0.0000000000000009 3 3 0 0 0.0000000000000002 3 2 1 0 0.0000000000000002 3 1 2 0 0.0000000000000009 3 0 3 0 0.0000000000000002 3 2 0 1 0.0000000000000002 3 1 1 1 0.0000000000000002 3 0 2 1 0.0000000000000002 3 1 0 2 0.0000000000000002 3 0 1 2 0.0000000000000007 3 0 0 3 0.0000000000000009 4 4 0 0 0.0000000000000004 4 3 1 0 0.0000000000000002 4 2 2 0 0.0000000000000004 4 1 3 0 0.0000000000000009 4 0 4 0 0.0000000000000004 4 3 0 1 0.0000000000000004 4 2 1 1 0.0000000000000004 4 1 2 1 0.0000000000000002 4 0 3 1 0.0000000000000004 4 2 0 2 0.0000000000000004 4 1 1 2 0.0000000000000004 4 0 2 2 0.0000000000000004 4 1 0 3 0.0000000000000004 4 0 1 3 0.0000000000000011 4 0 0 4 0.0000000000000018 5 5 0 0 0.0000000000000004 5 4 1 0 0.0000000000000004 5 3 2 0 0.0000000000000004 5 2 3 0 0.0000000000000004 5 1 4 0 0.0000000000000016 5 0 5 0 0.0000000000000004 5 4 0 1 0.0000000000000002 5 3 1 1 0.0000000000000002 5 2 2 1 0.0000000000000004 5 1 3 1 0.0000000000000002 5 0 4 1 0.0000000000000004 5 3 0 2 0.0000000000000002 5 2 1 2 0.0000000000000002 5 1 2 2 0.0000000000000004 5 0 3 2 0.0000000000000004 5 2 0 3 0.0000000000000004 5 1 1 3 0.0000000000000004 5 0 2 3 0.0000000000000004 5 1 0 4 0.0000000000000002 5 0 1 4 0.0000000000000016 5 0 0 5 0.0000000000000020 6 6 0 0 0.0000000000000002 6 5 1 0 0.0000000000000004 6 4 2 0 0.0000000000000002 6 3 3 0 0.0000000000000004 6 2 4 0 0.0000000000000002 6 1 5 0 0.0000000000000020 6 0 6 0 0.0000000000000002 6 5 0 1 0.0000000000000004 6 4 1 1 0.0000000000000004 6 3 2 1 0.0000000000000007 6 2 3 1 0.0000000000000004 6 1 4 1 0.0000000000000002 6 0 5 1 0.0000000000000004 6 4 0 2 0.0000000000000004 6 3 1 2 0.0000000000000007 6 2 2 2 0.0000000000000007 6 1 3 2 0.0000000000000007 6 0 4 2 0.0000000000000002 6 3 0 3 0.0000000000000007 6 2 1 3 0.0000000000000007 6 1 2 3 0.0000000000000002 6 0 3 3 0.0000000000000004 6 2 0 4 0.0000000000000004 6 1 1 4 0.0000000000000007 6 0 2 4 0.0000000000000002 6 1 0 5 0.0000000000000002 6 0 1 5 0.0000000000000020 6 0 0 6 0.0022808296896799 7 7 0 0 0.0053219359425807 7 6 1 0 0.0074174276490875 7 5 2 0 0.0043763213961836 7 4 3 0 0.0043763213961837 7 3 4 0 0.0074174276490875 7 2 5 0 0.0053219359425805 7 1 6 0 0.0022808296896799 7 0 7 0 0.0053219359425806 7 6 0 1 0.0085483801786559 7 5 1 1 0.0119790870284419 7 4 2 1 0.0175052855847353 7 3 3 1 0.0119790870284419 7 2 4 1 0.0085483801786557 7 1 5 1 0.0053219359425805 7 0 6 1 0.0074174276490875 7 5 0 2 0.0119790870284419 7 4 1 2 0.0005749385800535 7 3 2 2 0.0005749385800535 7 2 3 2 0.0119790870284417 7 1 4 2 0.0074174276490875 7 0 5 2 0.0043763213961836 7 4 0 3 0.0175052855847355 7 3 1 3 0.0005749385800535 7 2 2 3 0.0175052855847355 7 1 3 3 0.0043763213961836 7 0 4 3 0.0043763213961837 7 3 0 4 0.0119790870284419 7 2 1 4 0.0119790870284419 7 1 2 4 0.0043763213961837 7 0 3 4 0.0074174276490875 7 2 0 5 0.0085483801786557 7 1 1 5 0.0074174276490875 7 0 2 5 0.0053219359425806 7 1 0 6 0.0053219359425805 7 0 1 6 0.0022808296896799 7 0 0 7 0.0099395630119354 8 8 0 0 0.0181424591696671 8 7 1 0 0.0139434420546181 8 6 2 0 0.0091358259219332 8 5 3 0 0.0311216413558891 8 4 4 0 0.0091358259219330 8 3 5 0 0.0139434420546181 8 2 6 0 0.0181424591696671 8 1 7 0 0.0099395630119354 8 0 8 0 0.0181424591696671 8 7 0 1 0.0202845173550232 8 6 1 1 0.0147382129767729 8 5 2 1 0.0153339502279366 8 4 3 1 0.0153339502279362 8 3 4 1 0.0147382129767728 8 2 5 1 0.0202845173550235 8 1 6 1 0.0181424591696671 8 0 7 1 0.0139434420546181 8 6 0 2 0.0147382129767729 8 5 1 2 0.0437511441159518 8 4 2 2 0.0285337584639549 8 3 3 2 0.0437511441159518 8 2 4 2 0.0147382129767731 8 1 5 2 0.0139434420546181 8 0 6 2 0.0091358259219332 8 5 0 3 0.0153339502279366 8 4 1 3 0.0285337584639553 8 3 2 3 0.0285337584639553 8 2 3 3 0.0153339502279368 8 1 4 3 0.0091358259219330 8 0 5 3 0.0311216413558892 8 4 0 4 0.0153339502279366 8 3 1 4 0.0437511441159518 8 2 2 4 0.0153339502279364 8 1 3 4 0.0311216413558891 8 0 4 4 0.0091358259219330 8 3 0 5 0.0147382129767729 8 2 1 5 0.0147382129767729 8 1 2 5 0.0091358259219327 8 0 3 5 0.0139434420546181 8 2 0 6 0.0202845173550235 8 1 1 6 0.0139434420546181 8 0 2 6 0.0181424591696671 8 1 0 7 0.0181424591696671 8 0 1 7 0.0099395630119352 8 0 0 8 NINT_EXACTNESS_TET: Normal end of execution. 4 July 2007 7:51:52.462 AM