One starts from the polynomial
and extends one by one with
until the final polynomial defining this rule is reached.
Note: Polynomials might be truncated due to size!
The complete polynomials are included in the download.
| Node (ball center) | Error (ball radius) |
|---|---|
| 0.97390652851717172008 - 3.08606756340383148e-190j | 7.52e-62, 7.52e-62j |
| -0.67940956829902440623 - 3.7671723186081927246e-194j | 6.91e-62, 6.91e-62j |
| -0.86506336668898451073 + 3.5852350191299561441e-195j | 1.65e-61, 1.65e-61j |
| 0.14887433898163121088 + 3.8274028612214659336e-203j | 8.22e-64, 8.22e-64j |
| 0.86506336668898451073 - 1.6708812594391053136e-213j | 1.65e-61, 1.65e-61j |
| 0.67940956829902440623 - 1.6547383329961254957e-224j | 6.91e-62, 6.91e-62j |
| -0.14887433898163121088 + 3.8255270772391294144e-227j | 8.22e-64, 8.22e-64j |
| -0.97390652851717172008 + 9.069137467592763698e-229j | 7.85e-62, 7.85e-62j |
| -0.4333953941292471908 - 3.8244320819482979018e-232j | 9.68e-63, 9.68e-63j |
| 0.4333953941292471908 - 2.1968215047299281565e-243j | 7.22e-63, 7.22e-63j |
| Weight (ball center) | Error (ball radius) |
|---|---|
| 0.066671344308688137594 + 3.890491967619837738e-190j | 1.25e-23, 6.31e-54j |
| 0.219086362515982044 - 7.2953077725036706811e-191j | 5.43e-24, 2.74e-54j |
| 0.14945134915058059315 + 3.7004959484434806716e-191j | 3.74e-24, 1.88e-54j |
| 0.29552422471475287017 + 2.2878995717942710679e-190j | 1.52e-24, 7.62e-55j |
| 0.14945134915058059315 - 6.2561712012316979575e-190j | 8.69e-25, 4.37e-55j |
| 0.219086362515982044 + 4.0948062057532589418e-190j | 4.08e-25, 2.06e-55j |
| 0.29552422471475287017 - 1.6813135678607081995e-190j | 2.21e-25, 1.14e-55j |
| 0.066671344308688137594 - 1.0556976150537598327e-191j | 3.15e-26, 1.66e-56j |
| 0.26926671930999635509 + 1.1672236045385408099e-190j | 1.82e-25, 9.63e-56j |
| 0.26926671930999635509 - 3.0378856367021074164e-190j | 1.31e-25, 6.12e-56j |
All rules of Legendre type can be downloaded here packed into a single file.