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 - 1.2915443905699424831e-163j | 3.38e-61, 3.38e-61j | 
| -0.73015200557404932409 - 7.9699057950801666e-170j | 2.9e-61, 2.9e-61j | 
| -0.9782286581460569928 + 2.9401022354255186236e-179j | 3.05e-61, 3.05e-61j | 
| -0.26954315595234497233 - 6.8029048926396722684e-185j | 5.33e-63, 5.33e-63j | 
| 0.73015200557404932409 + 7.7566905448171938871e-186j | 2.91e-61, 2.91e-61j | 
| 0.51909612920681181593 - 6.0329815348578174678e-187j | 5.46e-62, 5.46e-62j | 
| -1.0414075268504565867e-187 - 3.4474180199187528387e-187j | 3.96e-186, 3.96e-186j | 
| -0.88706259976809529908 + 7.2382311941653501985e-189j | 6.14e-61, 6.14e-61j | 
| -0.51909612920681181593 + 1.9230504999997432676e-197j | 6.37e-62, 6.37e-62j | 
| 0.26954315595234497233 - 4.4653033380917102559e-203j | 5.33e-63, 5.33e-63j | 
| 0.88706259976809529908 + 5.9324744348932721971e-202j | 5.86e-61, 5.86e-61j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.055668567116173666483 + 1.6330446985199285595e-163j | 3.65e-23, 1.04e-52j | 
| 0.18629021092773425143 + 2.5348088549849523134e-164j | 1.54e-23, 4.36e-53j | 
| 0.055668567116173666483 + 3.6749393610809642218e-165j | 6.71e-24, 1.9e-53j | 
| 0.26280454451024666218 + 5.8094550050688297241e-164j | 4.96e-24, 1.41e-53j | 
| 0.18629021092773425143 + 1.7455984284447481265e-163j | 2.58e-24, 7.31e-54j | 
| 0.23319376459199047992 - 1.3200051626927662194e-163j | 2.59e-24, 7.36e-54j | 
| 0.27292508677790063071 - 7.841780164100483922e-164j | 2.02e-24, 5.71e-54j | 
| 0.12558036946490462463 - 1.2878389504598041435e-164j | 7.28e-25, 2.06e-54j | 
| 0.23319376459199047992 - 4.0475915171219731995e-164j | 1.01e-24, 2.85e-54j | 
| 0.26280454451024666218 + 1.0228626321502821521e-163j | 4.01e-25, 1.18e-54j | 
| 0.12558036946490462463 - 2.6349553128701543381e-163j | 1.54e-25, 4e-55j | 
All rules of Legendre type can be downloaded here packed into a single file.