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) | 
|---|---|
| 0.98418305471858814947 + 2.4357735693156735239e-211j | 1.14e-60, 1.14e-60j | 
| -0.98418305471858814947 - 1.1891104963008299482e-211j | 1.31e-60, 1.31e-60j | 
| -0.91759839922297796521 + 4.2787323917928478084e-214j | 2.33e-60, 2.33e-60j | 
| -0.23045831595513479407 + 2.1458817444273584579e-217j | 3.47e-63, 3.47e-63j | 
| 0.64234933944034022064 - 2.284407971889401796e-215j | 3.06e-61, 3.06e-61j | 
| 0.80157809073330991279 - 2.9877685179217552787e-220j | 1.01e-60, 1.01e-60j | 
| 3.4361148037215463099e-224 + 3.0055451354419422268e-224j | 5.93e-223, 5.93e-223j | 
| -0.80157809073330991279 + 1.4622483636475966115e-223j | 1.27e-60, 1.27e-60j | 
| -0.64234933944034022064 + 7.8743043708324954693e-230j | 2.9e-61, 2.9e-61j | 
| 0.23045831595513479407 - 9.7480292903216012063e-239j | 3.47e-63, 3.47e-63j | 
| 0.91759839922297796521 + 3.3204224770157954109e-240j | 1.98e-60, 1.98e-60j | 
| 0.44849275103644685288 - 2.9408946738938247212e-246j | 3.34e-62, 3.34e-62j | 
| -0.44849275103644685288 - 5.420947688568772416e-249j | 3.34e-62, 3.34e-62j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.04048400476531587952 - 3.1168782603417184536e-211j | 1.43e-19, 6.32e-49j | 
| 0.04048400476531587952 - 1.5580043922905514559e-211j | 6.26e-20, 2.76e-49j | 
| 0.092121499837728447914 + 2.6249784579346562447e-211j | 5.11e-20, 2.25e-49j | 
| 0.22628318026289723841 + 1.8859633316980866641e-211j | 1.03e-20, 4.54e-50j | 
| 0.17814598076194573828 + 2.8872714377775123363e-211j | 6.41e-21, 2.83e-50j | 
| 0.13887351021978723846 - 3.5443083933804267287e-211j | 4.45e-21, 1.96e-50j | 
| 0.23255155323087391019 - 2.0190993286772443238e-211j | 4.47e-21, 1.97e-50j | 
| 0.13887351021978723846 - 1.9993616557643979071e-211j | 2.01e-21, 8.86e-51j | 
| 0.17814598076194573828 + 1.8321101039079619316e-211j | 1.22e-21, 5.38e-51j | 
| 0.22628318026289723841 + 2.2151264292823970763e-211j | 4.5e-22, 2.02e-51j | 
| 0.092121499837728447914 + 5.0986290422115226162e-211j | 7.06e-23, 3.14e-52j | 
| 0.20781604753688850231 - 2.4895282311950095274e-211j | 1.53e-22, 6.85e-52j | 
| 0.20781604753688850231 - 1.8168985411627884726e-211j | 1.22e-22, 4.78e-52j | 
All rules of Legendre type can be downloaded here packed into a single file.