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) | 
|---|---|
| -0.96773294693349883869 - 1.4031823974834283719e-439j | 5.15e-116, 5.15e-116j | 
| -0.98561591034770846226 - 5.0604201840426424863e-451j | 3.95e-116, 3.95e-116j | 
| -0.87301411316118815875 - 6.5528802334895372824e-459j | 1.52e-116, 1.52e-116j | 
| 0.98561591034770846226 + 1.289877608578060928e-459j | 3.68e-116, 3.68e-116j | 
| 0.82850964924384212353 - 1.0402430801751932298e-461j | 5.81e-117, 5.81e-117j | 
| 0.91122849038813570283 - 1.0774895474820433535e-460j | 2.95e-116, 2.95e-116j | 
| 0.96773294693349883869 + 9.487513535848405825e-461j | 5.94e-116, 5.94e-116j | 
| -0.91122849038813570283 - 1.4081216808534222087e-459j | 3.15e-116, 3.15e-116j | 
| -0.99639748854252650165 - 5.4399064864612986397e-465j | 1.2e-116, 1.2e-116j | 
| 0.94287744546108417004 + 6.8544075862744494404e-474j | 4.62e-116, 4.62e-116j | 
| 0.87301411316118815875 + 2.3571771533983290067e-474j | 1.77e-116, 1.77e-116j | 
| 0.99639748854252650165 + 2.2842364325170940788e-474j | 1.22e-116, 1.22e-116j | 
| -0.82850964924384212353 - 2.4959362275591072262e-473j | 6.08e-117, 6.08e-117j | 
| -0.77803575431843950714 + 2.9821151862518994108e-477j | 1.58e-117, 1.58e-117j | 
| -0.042441203196148305878 - 2.8351776967145671936e-485j | 1.27e-127, 1.27e-127j | 
| 0.72195609395452446235 - 2.9700232149245641934e-483j | 4.02e-118, 4.02e-118j | 
| 0.66067472339008144191 + 3.2789767729559393513e-485j | 9e-119, 9e-119j | 
| -0.29282277127655037995 - 3.8651206456406351449e-482j | 7.44e-124, 7.44e-124j | 
| -0.72195609395452446235 - 1.3346603359920908851e-482j | 4.69e-118, 4.69e-118j | 
| -0.94287744546108417004 + 3.4320385883056014808e-491j | 5.13e-116, 5.13e-116j | 
| 0.45020374481767329246 - 9.8495827389002707411e-506j | 1.53e-121, 1.53e-121j | 
| 0.77803575431843950714 + 9.2783232114119540569e-501j | 1.77e-117, 1.77e-117j | 
| 0.21067926999572632036 - 1.9502273542688304556e-507j | 4.74e-125, 4.74e-125j | 
| -0.59463317630428661613 + 2.5155861898233635698e-501j | 1.16e-119, 1.16e-119j | 
| -0.5243072835572316878 + 4.3564190495784278405e-505j | 1.57e-120, 1.57e-120j | 
| 0.12701781974687874737 - 2.3125219673420592013e-509j | 3.15e-126, 3.15e-126j | 
| 0.59463317630428661613 + 1.6463147159824910676e-509j | 1.24e-119, 1.24e-119j | 
| 0.37285647778030861083 - 2.4100619172393291661e-511j | 1.16e-122, 1.16e-122j | 
| -0.12701781974687874737 + 6.3862862893223462796e-509j | 3.15e-126, 3.15e-126j | 
| -0.66067472339008144191 + 4.4693585440666113308e-510j | 9.73e-119, 9.73e-119j | 
| -0.37285647778030861083 - 9.1899864856915290707e-515j | 1.05e-122, 1.05e-122j | 
| 0.29282277127655037995 - 2.3639967837140704051e-516j | 7.49e-124, 7.49e-124j | 
| 0.5243072835572316878 - 4.535698780889268148e-513j | 1.49e-120, 1.49e-120j | 
| 0.042441203196148305878 - 7.3538132664539943364e-516j | 1.27e-127, 1.27e-127j | 
| -0.21067926999572632036 - 2.198753296017142235e-513j | 4.74e-125, 4.74e-125j | 
| -0.45020374481767329246 + 1.7782476999186107044e-513j | 1.48e-121, 1.48e-121j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 0.0017160254978217816385 - 5.5050236618508338362e-441j | 7.31e-20, 1.14e-74j | 
| 0.0007719264126880517562 - 6.056901920289988401e-441j | 4.44e-20, 6.93e-75j | 
| 0.0064282799519293015162 + 9.5229733257677608829e-441j | 1.61e-20, 2.51e-75j | 
| 0.0007719264126880517562 - 5.545110646237214412e-443j | 4.8e-21, 7.5e-76j | 
| 0.0084749124624282620158 + 6.6204019505813689992e-442j | 2.35e-21, 3.67e-76j | 
| 0.0045854767109448453796 + 3.4243705469638290891e-442j | 2.26e-21, 3.53e-76j | 
| 0.0017160254978217816385 + 1.244091554285546098e-442j | 1.2e-21, 1.88e-76j | 
| 0.0045854767109448453796 - 1.1387172974019861687e-440j | 5.6e-22, 8.75e-77j | 
| 0.00019437958989583159102 + 9.5152409094643607714e-442j | 6.05e-22, 9.45e-77j | 
| 0.0029995168335346012549 - 2.2028924570440216239e-442j | 5.88e-22, 9.19e-77j | 
| 0.0064282799519293015162 - 4.9002111534795073356e-442j | 1.52e-22, 2.37e-77j | 
| 0.00019437958989583159102 + 1.3886553257589549069e-443j | 1.22e-22, 1.9e-77j | 
| 0.0084749124624282620158 - 8.5415646553369549121e-441j | 1.1e-24, 1.72e-79j | 
| 0.010666496351409103779 + 7.8899638506726982845e-441j | 2.43e-25, 3.79e-80j | 
| 0.026978344439763871644 + 4.0912002389738355898e-441j | 7.92e-28, 1.24e-82j | 
| 0.012939983740592590461 + 1.0745857355453950778e-441j | 3.12e-26, 4.87e-81j | 
| 0.015229970537119983073 - 1.3123511367122983905e-441j | 7.95e-27, 1.24e-81j | 
| 0.024709589854646515183 - 5.1372853430760568141e-441j | 1.22e-28, 1.9e-83j | 
| 0.012939983740592590461 - 7.3876596548388361354e-441j | 4.09e-27, 6.39e-82j | 
| 0.0029995168335346012549 + 1.6933350656526791953e-440j | 1.17e-25, 1.83e-80j | 
| 0.021549096977084954272 + 2.1324868547168886831e-441j | 6.62e-29, 1.03e-83j | 
| 0.010666496351409103779 - 8.573323552158865826e-442j | 2.32e-26, 3.63e-81j | 
| 0.025827412032272104092 - 3.0753728971467174286e-441j | 1.1e-29, 1.72e-84j | 
| 0.017470577990223653783 - 6.5704697347620125065e-441j | 1.74e-29, 2.73e-84j | 
| 0.019597347902941530979 + 6.2014122965492709947e-441j | 6.71e-30, 1.05e-84j | 
| 0.026590985769371605928 + 3.4082646296127925004e-441j | 2.15e-30, 3.36e-85j | 
| 0.017470577990223653783 + 1.569056519150143272e-441j | 1.44e-29, 2.24e-84j | 
| 0.023269676945331411653 - 2.4356152959858933332e-441j | 1.65e-30, 2.58e-85j | 
| 0.026590985769371605928 - 4.4381267752424277488e-441j | 1.68e-31, 2.63e-86j | 
| 0.015229970537119983073 + 6.9597310650706062564e-441j | 1.16e-30, 1.81e-85j | 
| 0.023269676945331411653 + 5.4888036050880273918e-441j | 9.57e-32, 1.49e-86j | 
| 0.024709589854646515183 + 2.7505378010727742046e-441j | 1.84e-31, 2.88e-86j | 
| 0.019597347902941530979 - 1.8430236030314047951e-441j | 1.15e-31, 1.78e-86j | 
| 0.026978344439763871644 - 3.7474269190247057585e-441j | 8.49e-32, 1.33e-86j | 
| 0.025827412032272104092 + 4.7870542129454709611e-441j | 2.73e-32, 4.32e-87j | 
| 0.021549096977084954272 - 5.8426294470309527276e-441j | 1.79e-32, 2.7e-87j | 
All rules of Chebyshev U (second kind) type can be downloaded here packed into a single file.