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) | 
|---|---|
| 0.9782286581460569928 - 7.4887868024643723807e-164j | 2.57e-61, 2.57e-61j | 
| -0.73015200557404932409 + 1.99247644877004165e-170j | 1.68e-61, 1.68e-61j | 
| -0.9782286581460569928 - 4.5788477436954798237e-180j | 2.9e-61, 2.9e-61j | 
| -0.26954315595234497233 + 2.0971792954505746436e-186j | 2.68e-63, 2.68e-63j | 
| 0.73015200557404932409 - 3.2543985214076768334e-189j | 1.57e-61, 1.57e-61j | 
| 0.51909612920681181593 + 3.2319543936738307863e-188j | 3.3e-62, 3.3e-62j | 
| 2.1321921347153744771e-188 + 7.0025678529599667036e-188j | 8.05e-187, 8.05e-187j | 
| -0.88706259976809529908 - 2.3987161515547962867e-189j | 4.14e-61, 4.14e-61j | 
| -0.51909612920681181593 + 3.9715173369559915309e-197j | 2.99e-62, 2.99e-62j | 
| 0.26954315595234497233 + 6.9371676859639070047e-203j | 2.68e-63, 2.68e-63j | 
| 0.88706259976809529908 + 2.9024471697596116663e-202j | 4.53e-61, 4.53e-61j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.055668567116173666483 + 9.4689147582165062543e-164j | 3.66e-23, 7.98e-53j | 
| 0.18629021092773425143 + 1.4697650444253964215e-164j | 1.54e-23, 3.36e-53j | 
| 0.055668567116173666483 + 2.1308389466874653914e-165j | 6.71e-24, 1.47e-53j | 
| 0.26280454451024666218 + 3.3685120015113855016e-164j | 4.96e-24, 1.08e-53j | 
| 0.18629021092773425143 + 1.0121537949812162482e-163j | 2.58e-24, 5.63e-54j | 
| 0.23319376459199047992 - 7.6538128278293019436e-164j | 2.59e-24, 5.67e-54j | 
| 0.27292508677790063071 - 4.5469175380640245103e-164j | 2.02e-24, 4.4e-54j | 
| 0.12558036946490462463 - 7.4672579205243021687e-165j | 7.28e-25, 1.58e-54j | 
| 0.23319376459199047992 - 2.3469309823989675589e-164j | 1.01e-24, 2.19e-54j | 
| 0.26280454451024666218 + 5.9308862326453347806e-164j | 4.02e-25, 9.13e-55j | 
| 0.12558036946490462463 - 1.527831274093480775e-163j | 1.54e-25, 3.09e-55j | 
All rules of Legendre type can be downloaded here packed into a single file.