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) | 
|---|---|
| 0.96816023950762608984 - 6.0247996627572102944e-180j | 3.89e-62, 3.89e-62j | 
| -0.61337143270059039731 + 1.1491393399729176129e-186j | 2.32e-62, 2.32e-62j | 
| -0.96816023950762608984 + 1.2209605487212249637e-187j | 4.88e-62, 4.88e-62j | 
| 0.32425342340380892904 - 1.6438570117563022798e-193j | 3.11e-63, 3.11e-63j | 
| 0.8360311073266357943 + 4.9835974755487837678e-206j | 6.34e-62, 6.34e-62j | 
| 0.61337143270059039731 - 3.1869530857832056306e-219j | 2.61e-62, 2.61e-62j | 
| 5.2765890720539716061e-228 + 2.638294536026985803e-227j | 2.42e-226, 2.42e-226j | 
| -0.8360311073266357943 - 6.3123257942051906421e-230j | 5.44e-62, 5.44e-62j | 
| -0.32425342340380892904 - 3.4340620860594678172e-244j | 3.11e-63, 3.11e-63j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.081274388361574411972 + 7.5650764147520528264e-180j | 1.19e-23, 1.95e-54j | 
| 0.26061069640293546232 + 1.7491893749450394689e-180j | 4.59e-24, 7.55e-55j | 
| 0.081274388361574411972 + 2.5288268158765843279e-181j | 2.51e-24, 4.12e-55j | 
| 0.31234707704000284007 - 5.6334904024190472885e-180j | 2.38e-24, 3.91e-55j | 
| 0.18064816069485740406 - 1.2109976096880001407e-179j | 1.07e-24, 1.75e-55j | 
| 0.26061069640293546232 + 7.7973085047655811681e-180j | 1.01e-24, 1.66e-55j | 
| 0.33023935500125976316 + 4.0725984889224993089e-180j | 2.14e-25, 3.56e-56j | 
| 0.18064816069485740406 - 8.8686804549031816661e-181j | 3.18e-26, 6.06e-57j | 
| 0.31234707704000284007 - 2.8067209201834643434e-180j | 9.1e-26, 1.39e-56j | 
All rules of Legendre type can be downloaded here packed into a single file.