4 July 2007 7:51:50.383 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 = "keast6_x.txt". Quadrature rule W file = "keast6_w.txt". Quadrature rule R file = "keast6_r.txt". Maximum total degree to check = 8 Spatial dimension = 3 Number of points = 15 Error Degree Exponents 0.0000000000000002 0 0 0 0 0.0000000000000002 1 1 0 0 0.0000000000000002 1 0 1 0 0.0000000000000002 1 0 0 1 0.0000000000000002 2 2 0 0 0.0000000000000007 2 1 1 0 0.0000000000000007 2 0 2 0 0.0000000000000007 2 1 0 1 0.0000000000000007 2 0 1 1 0.0000000000000002 2 0 0 2 0.0000000000000007 3 3 0 0 0.0000000000000004 3 2 1 0 0.0000000000000003 3 1 2 0 0.0000000000000007 3 0 3 0 0.0000000000000004 3 2 0 1 0.0000000000000003 3 1 1 1 0.0000000000000004 3 0 2 1 0.0000000000000004 3 1 0 2 0.0000000000000004 3 0 1 2 0.0000000000000004 3 0 0 3 0.0000000000000003 4 4 0 0 0.0000000000000002 4 3 1 0 0.0000000000000002 4 2 2 0 0.0000000000000002 4 1 3 0 0.0000000000000003 4 0 4 0 0.0000000000000002 4 3 0 1 0.0000000000000006 4 2 1 1 0.0000000000000006 4 1 2 1 0.0000000000000002 4 0 3 1 0.0000000000000002 4 2 0 2 0.0000000000000002 4 1 1 2 0.0000000000000002 4 0 2 2 0.0000000000000002 4 1 0 3 0.0000000000000002 4 0 1 3 0.0000000000000003 4 0 0 4 0.0000000000000000 5 5 0 0 0.0000000000000002 5 4 1 0 0.0000000000000003 5 3 2 0 0.0000000000000003 5 2 3 0 0.0000000000000002 5 1 4 0 0.0000000000000002 5 0 5 0 0.0000000000000002 5 4 0 1 0.0000000000000006 5 3 1 1 0.0000000000000002 5 2 2 1 0.0000000000000003 5 1 3 1 0.0000000000000002 5 0 4 1 0.0000000000000006 5 3 0 2 0.0000000000000002 5 2 1 2 0.0000000000000002 5 1 2 2 0.0000000000000003 5 0 3 2 0.0000000000000003 5 2 0 3 0.0000000000000003 5 1 1 3 0.0000000000000003 5 0 2 3 0.0000000000000002 5 1 0 4 0.0000000000000002 5 0 1 4 0.0000000000000002 5 0 0 5 0.0054851398601397 6 6 0 0 0.0109702797202793 6 5 1 0 0.0368225524475528 6 4 2 0 0.0517191142191136 6 3 3 0 0.0368225524475526 6 2 4 0 0.0109702797202795 6 1 5 0 0.0054851398601397 6 0 6 0 0.0109702797202793 6 5 0 1 0.0093968531468529 6 4 1 1 0.0039335664335663 6 3 2 1 0.0039335664335666 6 2 3 1 0.0093968531468531 6 1 4 1 0.0109702797202793 6 0 5 1 0.0368225524475528 6 4 0 2 0.0039335664335663 6 3 1 2 0.0063374125874125 6 2 2 2 0.0039335664335663 6 1 3 2 0.0368225524475528 6 0 4 2 0.0517191142191136 6 3 0 3 0.0039335664335663 6 2 1 3 0.0039335664335663 6 1 2 3 0.0517191142191136 6 0 3 3 0.0368225524475526 6 2 0 4 0.0093968531468531 6 1 1 4 0.0368225524475528 6 0 2 4 0.0109702797202795 6 1 0 5 0.0109702797202793 6 0 1 5 0.0054851398601397 6 0 0 6 0.0224077532316169 7 7 0 0 0.0340009580066396 7 6 1 0 0.0936423898071629 7 5 2 0 0.0546599076428615 7 4 3 0 0.0546599076428613 7 3 4 0 0.0936423898071627 7 2 5 0 0.0340009580066398 7 1 6 0 0.0224077532316169 7 0 7 0 0.0340009580066398 7 6 0 1 0.0464909143886414 7 5 1 1 0.0319966491841495 7 4 2 1 0.0399559405241219 7 3 3 1 0.0319966491841494 7 2 4 1 0.0464909143886414 7 1 5 1 0.0340009580066398 7 0 6 1 0.0936423898071627 7 5 0 2 0.0319966491841494 7 4 1 2 0.0008973034541213 7 3 2 2 0.0008973034541213 7 2 3 2 0.0319966491841494 7 1 4 2 0.0936423898071627 7 0 5 2 0.0546599076428615 7 4 0 3 0.0399559405241219 7 3 1 3 0.0008973034541213 7 2 2 3 0.0399559405241219 7 1 3 3 0.0546599076428613 7 0 4 3 0.0546599076428611 7 3 0 4 0.0319966491841494 7 2 1 4 0.0319966491841494 7 1 2 4 0.0546599076428611 7 0 3 4 0.0936423898071627 7 2 0 5 0.0464909143886416 7 1 1 5 0.0936423898071627 7 0 2 5 0.0340009580066398 7 1 0 6 0.0340009580066398 7 0 1 6 0.0224077532316169 7 0 0 7 0.0539724848089823 8 8 0 0 0.0617648643080242 8 7 1 0 0.1453920767117338 8 6 2 0 0.0103509720943072 8 5 3 0 0.1377068314247343 8 4 4 0 0.0103509720943075 8 3 5 0 0.1453920767117338 8 2 6 0 0.0617648643080242 8 1 7 0 0.0539724848089820 8 0 8 0 0.0617648643080242 8 7 0 1 0.1162203206701673 8 6 1 1 0.0633304556627328 8 5 2 1 0.0510932594220395 8 4 3 1 0.0510932594220392 8 3 4 1 0.0633304556627328 8 2 5 1 0.1162203206701673 8 1 6 1 0.0617648643080242 8 0 7 1 0.1453920767117338 8 6 0 2 0.0633304556627329 8 5 1 2 0.0565875150187320 8 4 2 2 0.0326736453539336 8 3 3 2 0.0565875150187320 8 2 4 2 0.0633304556627329 8 1 5 2 0.1453920767117338 8 0 6 2 0.0103509720943072 8 5 0 3 0.0510932594220399 8 4 1 3 0.0326736453539340 8 3 2 3 0.0326736453539340 8 2 3 3 0.0510932594220399 8 1 4 3 0.0103509720943070 8 0 5 3 0.1377068314247341 8 4 0 4 0.0510932594220395 8 3 1 4 0.0565875150187320 8 2 2 4 0.0510932594220397 8 1 3 4 0.1377068314247343 8 0 4 4 0.0103509720943075 8 3 0 5 0.0633304556627329 8 2 1 5 0.0633304556627329 8 1 2 5 0.0103509720943072 8 0 3 5 0.1453920767117338 8 2 0 6 0.1162203206701673 8 1 1 6 0.1453920767117338 8 0 2 6 0.0617648643080242 8 1 0 7 0.0617648643080244 8 0 1 7 0.0539724848089823 8 0 0 8 NINT_EXACTNESS_TET: Normal end of execution. 4 July 2007 7:51:50.396 AM