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) | 
|---|---|
| 0.96182564317281907041 + 1.9331332480994139865e-437j | 4.17e-117, 4.17e-117j | 
| -3.3621451545150664817e-451 + 1.003752929216119322e-450j | 3.49e-449, 3.49e-449j | 
| -0.89516329135506232207 - 1.4999355087329441381e-443j | 2.13e-117, 2.13e-117j | 
| -0.96182564317281907041 - 5.3536500478971059841e-443j | 3.98e-117, 3.98e-117j | 
| 0.85021713572961415213 - 7.9947148490585982149e-444j | 1.02e-117, 1.02e-117j | 
| 0.93247222940435580457 - 8.4960417138350133152e-450j | 3.26e-117, 3.26e-117j | 
| -0.99573417629503452187 - 1.517673560576241846e-455j | 1.18e-117, 1.18e-117j | 
| -0.85021713572961415213 + 9.151722952462411887e-458j | 1.04e-117, 1.04e-117j | 
| -0.98297309968390177828 - 4.6488271655342622301e-456j | 3.38e-117, 3.38e-117j | 
| 0.99573417629503452187 - 1.7484996964723671048e-457j | 9.37e-118, 9.37e-118j | 
| 0.89516329135506232207 + 3.5737627337366076294e-467j | 2.09e-117, 2.09e-117j | 
| 0.98297309968390177828 + 7.0976154730327728213e-475j | 3.27e-117, 3.27e-117j | 
| -0.36124166618715294874 - 8.5609513009174856249e-483j | 2.26e-123, 2.26e-123j | 
| -0.73900891722065911592 + 2.0338561472872954331e-482j | 9.09e-119, 9.09e-119j | 
| 0.09226835946330199524 + 1.1908153453102679021e-486j | 5.46e-127, 5.46e-127j | 
| 0.73900891722065911592 + 2.3670967308740051753e-486j | 7.82e-119, 7.82e-119j | 
| 0.79801722728023950333 + 6.8961021742662569747e-489j | 3.29e-118, 3.29e-118j | 
| -0.93247222940435580457 + 1.588030329759829756e-492j | 3.76e-117, 3.76e-117j | 
| -0.79801722728023950333 + 3.1633846337120929008e-497j | 3.13e-118, 3.13e-118j | 
| -0.60263463637925638918 + 1.5610956669526820811e-498j | 2.77e-120, 2.77e-120j | 
| 0.18374951781657033157 + 5.0557186110568891716e-498j | 1.02e-125, 1.02e-125j | 
| 0.67369564364655721171 + 8.8375855925168000044e-498j | 2.03e-119, 2.03e-119j | 
| 0.36124166618715294874 + 1.953322582122271505e-499j | 2.84e-123, 2.84e-123j | 
| -0.52643216287735580024 + 5.5485896659594615418e-502j | 3.41e-121, 3.41e-121j | 
| -0.4457383557765382674 - 4.5920317927991445485e-502j | 4.08e-122, 4.08e-122j | 
| -0.09226835946330199524 - 2.3170537783364354459e-503j | 6.21e-127, 6.21e-127j | 
| 0.52643216287735580024 - 6.372307429311499395e-501j | 3.6e-121, 3.6e-121j | 
| 0.27366299007208286354 + 3.1461959627522593388e-502j | 1.55e-124, 1.55e-124j | 
| -0.18374951781657033157 - 1.6402279315530775068e-507j | 8.1e-126, 8.1e-126j | 
| -0.67369564364655721171 - 5.1893825295048995933e-503j | 1.82e-119, 1.82e-119j | 
| -0.27366299007208286354 - 1.5681167513495203317e-507j | 1.64e-124, 1.64e-124j | 
| 0.4457383557765382674 + 2.2435231296990468498e-504j | 3.58e-122, 3.58e-122j | 
| 0.60263463637925638918 + 8.1945240754375833074e-507j | 3.03e-120, 3.03e-120j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.0022026891804468507039 - 8.2029571382197686391e-439j | 5.18e-22, 1.87e-78j | 
| 0.029411764705882352941 - 5.9113719938424905735e-439j | 3.06e-22, 1.1e-78j | 
| 0.005843608288540347218 - 6.0837518832695218451e-440j | 8.21e-23, 2.96e-79j | 
| 0.0022026891804468507039 - 2.2137251455254149508e-440j | 5.94e-23, 2.14e-79j | 
| 0.0081509065326979666559 + 1.4117915916885847334e-438j | 1.95e-23, 7.01e-80j | 
| 0.0038381041585197188835 + 2.5276671847742077583e-438j | 3.82e-23, 1.37e-79j | 
| 0.00025039559288379737821 - 2.4722797905000484361e-441j | 3.48e-24, 1.25e-80j | 
| 0.0081509065326979666559 + 8.6962608842263774904e-440j | 1.74e-24, 6.27e-81j | 
| 0.0009930554499359440504 + 9.8683087114032417656e-441j | 7.42e-24, 2.67e-80j | 
| 0.00025039559288379737821 + 1.427511065513614102e-439j | 8.63e-26, 3.11e-82j | 
| 0.005843608288540347218 - 1.694579876619868539e-438j | 1.31e-25, 4.72e-82j | 
| 0.0009930554499359440504 - 9.0777278977145156844e-439j | 1.9e-25, 6.85e-82j | 
| 0.025573660547362634058 - 3.7365984426185905153e-439j | 1.87e-28, 6.73e-85j | 
| 0.013348994713774970658 + 1.517264591266914351e-439j | 6.79e-28, 2.45e-84j | 
| 0.029161369112998555563 + 6.4829548670663590713e-439j | 2.03e-28, 7.3e-85j | 
| 0.013348994713774970658 + 1.1581455061205792502e-438j | 4.72e-28, 1.7e-84j | 
| 0.010681426616587016713 - 1.2605368587296261457e-438j | 2.26e-27, 8.14e-84j | 
| 0.0038381041585197188835 + 3.917337325100684718e-440j | 6.48e-28, 2.33e-84j | 
| 0.010681426616587016713 - 1.1733737699600800569e-439j | 1.44e-28, 5.18e-85j | 
| 0.018730338089295336229 + 2.3144622403185253108e-439j | 2.17e-30, 7.82e-87j | 
| 0.028418709255946408891 - 7.0606603315579306877e-439j | 1.06e-30, 3.83e-87j | 
| 0.016062769992107382283 - 1.0776911572897812938e-438j | 1.4e-30, 5.04e-87j | 
| 0.025573660547362634058 - 8.2315547819338217085e-439j | 1.57e-31, 5.65e-88j | 
| 0.021260858173184386285 - 2.761659156651140925e-439j | 4.14e-31, 1.49e-87j | 
| 0.023568156417342005723 + 3.236859006745821874e-439j | 2.21e-31, 7.95e-88j | 
| 0.029161369112998555563 + 5.3480130616791595762e-439j | 3.53e-32, 1.27e-88j | 
| 0.021260858173184386285 - 9.4397687610088940132e-439j | 2.78e-33, 1e-89j | 
| 0.027209075525435502237 + 7.6433819010769131128e-439j | 1.12e-32, 4.05e-89j | 
| 0.028418709255946408891 - 4.7956233181508770915e-439j | 5.48e-33, 1.97e-89j | 
| 0.016062769992107382283 - 1.8986090135045340647e-439j | 5.18e-33, 1.87e-89j | 
| 0.027209075525435502237 + 4.2573548392419956972e-439j | 3.96e-33, 1.43e-89j | 
| 0.023568156417342005723 + 8.8280552125807232346e-439j | 3.06e-34, 1.12e-90j | 
| 0.018730338089295336229 + 1.0080511512969415521e-438j | 2.04e-34, 7.17e-91j | 
All rules of Chebyshev U (second kind) type can be downloaded here packed into a single file.