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.
    
Warning: This rule has negative weights!
| Node (ball center) | Error (ball radius) | 
|---|---|
| 14.072900008988579493 - 1.2301973521183608812e-1513j | 2.07e-499, 2.07e-499j | 
| 5.150168056223823185 - 7.3691964935113223572e-1509j | 3.24e-495, 3.24e-495j | 
| 4.4526542964613974863 - 2.8494617604999325201e-1510j | 3.41e-496, 3.41e-496j | 
| 4.1849560176727318607 + 4.5254874658702507615e-1510j | 1.5e-496, 1.5e-496j | 
| 4.8080745003320122 + 3.5041028274227966871e-1509j | 9.41e-496, 9.41e-496j | 
| 3.9610820388639327853 - 9.4869632610150145024e-1511j | 4.25e-497, 4.25e-497j | 
| 5.4583576082743443651 - 3.8469906558120409084e-1508j | 9.27e-495, 9.27e-495j | 
| 3.6074237000681686929 - 3.0642756079419602591e-1511j | 3.52e-498, 3.52e-498j | 
| 10.579299876211536799 + 3.427440320090956387e-1506j | 7.44e-495, 7.44e-495j | 
| -9.522684677503835164 + 3.1847747085840078551e-1505j | 7.23e-494, 7.23e-494j | 
| 11.151646738522564271 + 8.8348685790137840527e-1520j | 1.84e-495, 1.84e-495j | 
| -8.0609503582554932183 - 7.7019936793401048449e-1517j | 2.46e-493, 2.46e-493j | 
| 13.171577911967309998 + 1.5263473610773502824e-1536j | 5.64e-498, 5.64e-498j | 
| -10.037547394603103172 + 1.8833541266468426561e-1531j | 2.21e-494, 2.21e-494j | 
| 12.426446443437634078 - 6.0953563158218496051e-1547j | 5.8e-497, 5.8e-497j | 
| -14.072900008988579493 - 3.6662118206590924361e-1543j | 2.05e-499, 2.05e-499j | 
| -11.151646738522564271 + 1.6332060025072033471e-1544j | 1.97e-495, 1.97e-495j | 
| 6.5010927267132319837 - 5.542654302805072485e-1550j | 6.75e-494, 6.75e-494j | 
| 1.7320508075688772935 - 2.2568115080071466729e-1562j | 5.45e-503, 5.45e-503j | 
| -8.7288983425330193955 + 1.2015040072416519955e-1550j | 5.37e-493, 5.37e-493j | 
| -1.1566041704981437309 + 9.9977886014768435023e-1579j | 1.94e-505, 1.94e-505j | 
| 8.4917865876250708814 - 3.2408940121224957629e-1565j | 5.3e-493, 5.3e-493j | 
| 10.037547394603103172 - 3.263944188584217418e-1585j | 2.37e-494, 2.37e-494j | 
| 11.762594078371499409 - 2.51872094813572814e-1605j | 4.1e-496, 4.1e-496j | 
| -10.579299876211536799 + 1.3862324391705485714e-1640j | 6.86e-495, 6.86e-495j | 
| 9.522684677503835164 + 8.912207369712371712e-1685j | 6.82e-494, 6.82e-494j | 
| -1.7320508075688772935 - 1.919354995829620065e-1710j | 5.61e-503, 5.61e-503j | 
| -6.8575059688675411896 + 2.5995514425822272013e-1714j | 1.01e-493, 1.01e-493j | 
| -12.426446443437634078 - 1.1345645457886563997e-1727j | 6.13e-497, 6.13e-497j | 
| 2.5558993678172956685 + 2.4340546989551624113e-1732j | 1.24e-500, 1.24e-500j | 
| 8.0609503582554932183 - 1.9520524734223707958e-1723j | 2.67e-493, 2.67e-493j | 
| -3.6074237000681686929 - 2.3941677426017193498e-1730j | 3.49e-498, 3.49e-498j | 
| -11.762594078371499409 + 7.317863436730294974e-1727j | 3.84e-496, 3.84e-496j | 
| 1.5204361604616175928 + 9.1150036664383012043e-1737j | 8e-504, 8e-504j | 
| -13.171577911967309998 - 2.2082493783630771351e-1730j | 5.19e-498, 5.19e-498j | 
| -4.8080745003320122 + 5.1798091973158692088e-1726j | 9.56e-496, 9.56e-496j | 
| -3.229130917866149279 + 1.7274230525931990115e-1742j | 3.95e-499, 3.95e-499j | 
| -5.7816687554826800355 + 1.9246826883595534706e-1735j | 1.87e-494, 1.87e-494j | 
| 1.1566041704981437309 + 2.7456041971460111492e-1766j | 1.88e-505, 1.88e-505j | 
| -9.0412737334151464656 + 2.6267822011263135578e-1754j | 2.71e-493, 2.71e-493j | 
| -1.5204361604616175928 - 2.3274226772626460971e-1784j | 7.97e-504, 7.97e-504j | 
| 9.0412737334151464656 - 4.4956519079450468911e-1781j | 2.84e-493, 2.84e-493j | 
| 2.8612795760570581173 - 1.9451197187243359024e-1803j | 5.56e-500, 5.56e-500j | 
| 3.229130917866149279 + 1.0706064174061834114e-1802j | 3.87e-499, 3.87e-499j | 
| -7.6313130805389139259 - 2.8879888907989113304e-1826j | 1.92e-493, 1.92e-493j | 
| -1.9882405082739936082 + 2.5923942261325099552e-1862j | 2.95e-502, 2.95e-502j | 
| -5.150168056223823185 + 1.3817704137401720633e-1895j | 3.46e-495, 3.46e-495j | 
| 2.3082392864556769437 + 1.858378303495793011e-1927j | 2.52e-501, 2.52e-501j | 
| -0.74109534999454084186 - 1.2243100564184326604e-1941j | 1.15e-506, 1.15e-506j | 
| -6.5010927267132319837 + 5.1409150996352750692e-1932j | 6.35e-494, 6.35e-494j | 
| -2.8612795760570581173 - 3.190323198360519924e-1949j | 5.35e-500, 5.35e-500j | 
| 6.8575059688675411896 - 3.6987960147055300547e-1942j | 1e-493, 1e-493j | 
| 8.7288983425330193955 - 1.1589939641654048559e-1945j | 5.57e-493, 5.57e-493j | 
| -2.5558993678172956685 - 3.9577514538709687999e-1962j | 1.29e-500, 1.29e-500j | 
| 7.6313130805389139259 - 1.5465219557084362784e-1953j | 1.92e-493, 1.92e-493j | 
| -0.56714751598971916008 + 5.9254611044361793924e-1979j | 4.21e-507, 4.21e-507j | 
| -5.4583576082743443651 - 1.7773252515379995436e-1964j | 8.76e-495, 8.76e-495j | 
| -2.3082392864556769437 + 5.2367158909785859303e-1987j | 2.56e-501, 2.56e-501j | 
| -7.2282818454466870377 - 9.9161674929748528081e-1978j | 1.46e-493, 1.46e-493j | 
| 5.7816687554826800355 - 4.4575704270257838703e-1987j | 1.72e-494, 1.72e-494j | 
| 0.56714751598971916008 - 2.5313629702569809115e-1999j | 3.99e-507, 3.99e-507j | 
| -6.1385532186958391626 - 3.0325864760091587209e-1985j | 3.3e-494, 3.3e-494j | 
| 8.4879082738208907386e-2051 - 4.5721994574670570509e-2050j | 3.39e-2048, 3.39e-2048j | 
| -3.9610820388639327853 - 1.0885842513995878845e-1995j | 4.19e-497, 4.19e-497j | 
| 1.9882405082739936082 + 6.1111502094840065061e-2001j | 3.11e-502, 3.11e-502j | 
| 0.74109534999454084186 + 6.4146047834846145454e-2005j | 1.09e-506, 1.09e-506j | 
| 6.1385532186958391626 + 1.1080597285316483786e-1993j | 3.28e-494, 3.28e-494j | 
| -4.1849560176727318607 - 2.2333139966447743497e-1994j | 1.49e-496, 1.49e-496j | 
| -0.43260821793876384687 + 6.3507304474321629464e-2009j | 7.67e-508, 7.67e-508j | 
| -8.4917865876250708814 - 8.5781956751869770292e-1991j | 4.92e-493, 4.92e-493j | 
| 0.43260821793876384687 - 1.0716030158805767071e-2016j | 6.67e-508, 6.67e-508j | 
| 7.2282818454466870377 - 3.3555786797167792759e-2001j | 1.44e-493, 1.44e-493j | 
| -4.4526542964613974863 - 1.3740980238267461712e-2004j | 3.61e-496, 3.61e-496j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 4.1067827127670068181e-44 - 8.3724426404232838698e-1542j | 2.03e-171, 5.82e-418j | 
| 2.2382788631870093517e-07 - 1.6127085091795697474e-1514j | 3.03e-140, 8.69e-387j | 
| 6.7224404603687381677e-06 + 1.7405181122834230222e-1514j | 4.27e-136, 1.22e-382j | 
| 1.1599703615754545717e-05 - 2.1087133112023825422e-1514j | 1.41e-134, 4.04e-381j | 
| 1.3595406743884736036e-06 - 4.0754860637647251041e-1515j | 9.16e-139, 2.63e-385j | 
| 4.8389535281209375179e-05 + 2.6485681934194013786e-1514j | 1.22e-133, 3.51e-380j | 
| 4.1292138065081099038e-08 + 9.3591191449582094297e-1515j | 1.17e-143, 3.35e-390j | 
| 0.00022336177951260000642 + 2.2208246755251345958e-1514j | 4.04e-132, 1.16e-378j | 
| 1.1030210003078322871e-25 + 3.2710824676472922215e-1530j | 4.28e-167, 1.23e-413j | 
| 4.0707827139007701977e-21 + 1.0146305095408504017e-1524j | 1.58e-168, 4.54e-415j | 
| 2.3304382796367473785e-28 - 9.0520062272297072381e-1532j | 6.46e-169, 1.85e-415j | 
| 1.3566123539995472539e-15 + 1.4294794284822142056e-1521j | 3.33e-164, 9.56e-411j | 
| 6.8013475533442577719e-39 + 1.2868476514804589899e-1538j | 9.21e-175, 2.64e-421j | 
| 2.7893990750826492051e-23 + 5.1187200176679595964e-1527j | 1.5e-170, 4.3e-417j | 
| 8.194416883480549168e-35 - 4.7334848886983187418e-1536j | 4.66e-173, 1.34e-419j | 
| 4.1067827127670068181e-44 + 2.2081959434315639453e-1541j | 3.05e-182, 8.74e-429j | 
| 2.3304382796367473785e-28 + 4.309269112092250756e-1531j | 1.76e-174, 5.04e-421j | 
| 9.5038732392944724878e-11 + 5.8304326206829342949e-1518j | 3.7e-156, 1.06e-402j | 
| 0.014355567458802604262 - 1.7586401984082554143e-1512j | 1.45e-127, 4.16e-374j | 
| 1.6737648925273913821e-18 + 1.1215538347270408155e-1522j | 1.21e-167, 3.48e-414j | 
| 0.079505493794590272438 - 1.6675801623899411859e-1511j | 5.02e-121, 1.44e-367j | 
| 3.4684271266578288498e-17 - 6.4167784639174848991e-1523j | 2.46e-164, 7.07e-411j | 
| 2.7893990750826492051e-23 - 3.2891546322905168472e-1528j | 1.84e-168, 5.27e-415j | 
| 2.285511457426989994e-31 + 8.2122377776719991335e-1534j | 8.1e-173, 2.32e-419j | 
| 1.1030210003078322871e-25 - 4.5526374464383375496e-1529j | 8.7e-175, 2.5e-421j | 
| 4.0707827139007701977e-21 + 1.9118664949379608875e-1526j | 1.19e-167, 3.42e-414j | 
| 0.014355567458802604262 - 2.1464792053228567695e-1511j | 3.18e-137, 9.13e-384j | 
| 8.7913233720051665075e-12 - 5.7376283141879081338e-1519j | 1.34e-166, 3.84e-413j | 
| 8.194416883480549168e-35 + 1.6106881297451103155e-1535j | 4.53e-181, 1.3e-427j | 
| 0.0038213866273272293572 - 4.897377333618740779e-1513j | 2.08e-144, 5.96e-391j | 
| 1.3566123539995472539e-15 + 4.8278701825160904845e-1522j | 1.13e-165, 3.25e-412j | 
| 0.00022336177951260000642 - 1.5091618582529485479e-1513j | 4.35e-156, 1.25e-402j | 
| 2.285511457426989994e-31 - 3.2672281749722596093e-1533j | 3.46e-179, 9.92e-426j | 
| 0.039691736524117024274 + 3.1917971458056258005e-1512j | 3.51e-139, 1.01e-385j | 
| 6.8013475533442577719e-39 - 3.8331496928101920015e-1538j | 2.1e-183, 6.03e-430j | 
| 1.3595406743884736036e-06 - 4.7691219268848052307e-1515j | 3.47e-163, 9.94e-410j | 
| 0.0008198612352513668335 + 3.425635564594608294e-1513j | 4.19e-156, 1.2e-402j | 
| 7.5620055602150122259e-09 + 9.5686555786256201189e-1517j | 1.46e-166, 4.18e-413j | 
| 0.079505493794590272438 - 4.8720513881963329312e-1512j | 6.79e-141, 1.95e-387j | 
| 3.1901150787631119913e-19 - 1.4168446682320674279e-1523j | 4.37e-173, 1.25e-419j | 
| 0.039691736524117024274 + 2.085463509414340119e-1511j | 2.11e-145, 6.04e-392j | 
| 3.1901150787631119913e-19 - 1.14940235054212336e-1524j | 5.06e-172, 1.45e-418j | 
| 0.002331136248810555987 + 2.3521795606175654057e-1513j | 7.25e-153, 2.08e-399j | 
| 0.0008198612352513668335 - 1.0084205782415641321e-1513j | 3.49e-154, 1e-400j | 
| 3.7714521848725514404e-14 - 1.0765172703970828008e-1520j | 2.21e-171, 6.33e-418j | 
| 0.018274296386945638591 + 1.1992626234507882247e-1511j | 1.49e-152, 4.27e-399j | 
| 2.2382788631870093517e-07 + 1.3973976843273123768e-1515j | 5.33e-166, 1.53e-412j | 
| 0.0078641224284217669325 + 5.2397398422094208507e-1513j | 5.27e-153, 1.51e-399j | 
| 0.15266696419137781166 + 5.2240547693447816644e-1511j | 5.78e-148, 1.66e-394j | 
| 9.5038732392944724878e-11 + 3.2239876741771644921e-1518j | 2.53e-169, 7.24e-416j | 
| 0.002331136248810555987 - 1.1046540755197214741e-1512j | 9.42e-159, 2.7e-405j | 
| 8.7913233720051665075e-12 - 6.6625679963661571236e-1519j | 1.24e-169, 3.56e-416j | 
| 1.6737648925273913821e-18 + 1.6431211638505279304e-1523j | 2.07e-173, 5.93e-420j | 
| 0.0038213866273272293572 + 3.3726991327112726214e-1512j | 1.67e-159, 4.79e-406j | 
| 3.7714521848725514404e-14 - 5.6296092905000168291e-1521j | 1e-171, 2.88e-418j | 
| -0.10584216958214380441 - 1.0065380427095949872e-1510j | 1.26e-153, 3.6e-400j | 
| 4.1292138065081099038e-08 - 4.2144751506079830836e-1516j | 1.89e-168, 5.41e-415j | 
| 0.0078641224284217669325 - 6.2242071063955612021e-1512j | 1.64e-159, 4.71e-406j | 
| 6.955682491905073756e-13 + 8.5433349610779805423e-1520j | 8.32e-173, 2.39e-419j | 
| 7.5620055602150122259e-09 + 8.0681333677985112628e-1516j | 7.03e-169, 2.02e-415j | 
| -0.10584216958214380441 - 5.8715601439513797281e-1511j | 1.23e-158, 3.54e-405j | 
| 9.5431183606850544195e-10 - 1.7533550774454728826e-1517j | 2.6e-170, 7.44e-417j | 
| 0.16380693119615532647 - 1.7362414600425758478e-1511j | 5.86e-159, 1.69e-405j | 
| 4.8389535281209375179e-05 + 1.0597292621992045529e-1513j | 8.81e-167, 2.53e-413j | 
| 0.018274296386945638591 + 4.2792321486012780538e-1514j | 8.65e-162, 2.52e-408j | 
| 0.15266696419137781166 + 2.5415187744567687229e-1511j | 1.95e-160, 5.66e-407j | 
| 9.5431183606850544195e-10 - 5.720513764793110188e-1517j | 1.29e-170, 3.74e-417j | 
| 1.1599703615754545717e-05 - 6.9204585537340983088e-1514j | 1.25e-167, 3.57e-414j | 
| 0.20431643234797103781 + 6.6773227403211916215e-1511j | 6.98e-162, 2.08e-408j | 
| 3.4684271266578288498e-17 - 3.131774197475015106e-1522j | 3.49e-177, 1.04e-423j | 
| 0.20431643234797103781 + 4.4498354143564644083e-1511j | 5.5e-163, 1.73e-409j | 
| 6.955682491905073756e-13 + 6.6779112782152372336e-1520j | 2.86e-174, 9.17e-421j | 
| 6.7224404603687381677e-06 + 2.1860916683480988782e-1514j | 2.44e-168, 6.92e-415j | 
All rules of Hermite (probabilists') type can be downloaded here packed into a single file.