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) | 
|---|---|
| 8.6895579212000117748 + 5.4647533296207163442e-1202j | 2.25e-489, 2.25e-489j | 
| 11.752027215431661215 + 3.8513201134858927587e-1210j | 2.59e-496, 2.59e-496j | 
| 4.7560263729937626981 + 7.2366881955510534758e-1202j | 4.22e-489, 4.22e-489j | 
| 11.145370943800592934 - 6.0729979499235495716e-1207j | 1.27e-494, 1.27e-494j | 
| 10.198276079993948606 - 7.1190811406557361829e-1206j | 2.2e-492, 2.2e-492j | 
| 8.0171866346273220837 - 6.7165963373585245221e-1200j | 8.56e-488, 8.56e-488j | 
| 2.6546739192663197361 + 3.550285145935575377e-1207j | 4.62e-495, 4.62e-495j | 
| 2.9331656604247643601 + 6.1479712014923275952e-1206j | 1.9e-493, 1.9e-493j | 
| 8.3555696160286068952 - 3.0396402724002356854e-1201j | 1.23e-488, 1.23e-488j | 
| 2.2904400041330501608 + 8.9397162392782225293e-1208j | 1.19e-495, 1.19e-495j | 
| 2.3613509779839066297 + 6.676190752565276664e-1208j | 1.41e-495, 1.41e-495j | 
| 9.4030421460427774513 + 2.5729609506010829231e-1203j | 9.49e-491, 9.49e-491j | 
| 9.0381744900657162609 + 5.8219894595123373247e-1203j | 4.79e-490, 4.79e-490j | 
| 1.9269745503978767464 + 6.5503789193528497584e-1211j | 2.76e-498, 2.76e-498j | 
| 10.644361954346626721 + 1.1334807458046289049e-1205j | 2.18e-493, 2.18e-493j | 
| 4.5665619502128693515 - 2.855828646871882279e-1202j | 2.19e-489, 2.19e-489j | 
| 3.9316151502005034367 + 2.0565636709511031089e-1203j | 1.06e-490, 1.06e-490j | 
| 1.2290262221385897052 - 1.6659835309529907143e-1214j | 5.13e-502, 5.13e-502j | 
| 9.7877983506530661212 + 1.1033672640575994109e-1203j | 1.7e-491, 1.7e-491j | 
| 6.8396592683983631633 - 1.4903737635395455524e-1200j | 4.49e-488, 4.49e-488j | 
| 4.3888205439114678149 + 5.0034246304210383942e-1203j | 9.08e-490, 9.08e-490j | 
| 5.6217843357956720964 + 3.2328615121068417387e-1200j | 3.14e-488, 3.14e-488j | 
| 3.3971138885789312059 + 4.7210236471746162639e-1205j | 2.19e-492, 2.19e-492j | 
| 5.1983167792924869517 + 3.5890669597493991871e-1201j | 1.36e-488, 1.36e-488j | 
| 0.7012760281229297802 - 2.7516167678264518e-1217j | 3.28e-505, 3.28e-505j | 
| 7.4110540457803254327 + 1.5582997751511492904e-1200j | 3.63e-488, 3.63e-488j | 
| 5.4058938408026921308 - 6.754966720382152663e-1201j | 2.3e-488, 2.3e-488j | 
| 7.1191998408659643145 - 5.4144457912645930812e-1201j | 3.91e-488, 3.91e-488j | 
| 7.7130886607293033343 - 5.5770812286355988228e-1201j | 3.6e-488, 3.6e-488j | 
| 1.6053478034130488758 - 1.7031754116085729875e-1211j | 4.44e-499, 4.44e-499j | 
| 5.8534035514221029558 + 1.1462111309094653641e-1201j | 3.77e-488, 3.77e-488j | 
| 3.1253825943399169471 + 1.9548549700064702554e-1205j | 8.39e-493, 8.39e-493j | 
| 6.5754130910735567465 - 2.0981479163607339819e-1200j | 5.06e-488, 5.06e-488j | 
| 6.3276237737581348981 + 2.1657676154325952074e-1200j | 5.35e-488, 5.35e-488j | 
| 2.2153906378216551582 - 1.4278786106125181793e-1208j | 2.93e-496, 2.93e-496j | 
| 6.0897986523049256092 + 1.0259516487245436097e-1200j | 4.57e-488, 4.57e-488j | 
| 4.1671937509505656197 + 1.6034676364415542079e-1202j | 2.73e-490, 2.73e-490j | 
| 8.0982816839480572246 + 6.9905339367522848659e-1200j | 8.19e-488, 8.19e-488j | 
| 0.87560849309255521627 - 2.8948507935577612523e-1216j | 4.33e-504, 4.33e-504j | 
| 3.7779829715511411049 - 1.1462012900876131481e-1203j | 6.28e-491, 6.28e-491j | 
| 0.52464762327529031788 - 1.9918529432638801571e-1218j | 2.06e-506, 2.06e-506j | 
| 0.35357530380376040947 - 6.1778065318291173496e-1220j | 1.31e-507, 1.31e-507j | 
| 3.6403567342037332334 - 8.7571268391780643601e-1204j | 2.05e-491, 2.05e-491j | 
| 3.0231078217169608504 + 9.8345018376334454853e-1205j | 6.56e-493, 6.56e-493j | 
| 4.9784193179451938001 - 6.826864488263679947e-1202j | 6.93e-489, 6.93e-489j | 
| 0.17477192763441092128 - 8.9991122535848402839e-1255j | 6.14e-509, 6.14e-509j | 
| 1.4680153253321374729 - 3.2087376574249148981e-1213j | 2.6e-500, 2.6e-500j | 
| 1.0332798442421799226 - 1.445028431078274242e-1216j | 3.93e-503, 3.93e-503j | 
| 1.6506801238857845559 + 8.1699688373048996548e-1211j | 6.56e-499, 6.56e-499j | 
| -8.3555696160286068952 + 1.2335413537969065036e-1198j | 1.19e-488, 1.19e-488j | 
| -9.0381744900657162609 - 3.2691624091202016273e-1208j | 4.84e-490, 4.84e-490j | 
| -9.7877983506530661212 - 1.9843436568503494263e-1220j | 1.69e-491, 1.69e-491j | 
| -11.752027215431661215 + 7.9400840881942419065e-1234j | 2.59e-496, 2.59e-496j | 
| -1.6053478034130488758 + 3.8945322959426394263e-1253j | 4.37e-499, 4.37e-499j | 
| -8.0171866346273220837 - 6.0953508970276634089e-1240j | 9.06e-488, 9.06e-488j | 
| -10.644361954346626721 - 1.7997629047497393522e-1253j | 2.11e-493, 2.11e-493j | 
| -1.9269745503978767464 + 1.5924647516955747712e-1265j | 2.72e-498, 2.72e-498j | 
| -11.145370943800592934 + 5.9747526813962948046e-1256j | 1.23e-494, 1.23e-494j | 
| -2.9331656604247643601 - 1.9219169799622992329e-1266j | 1.85e-493, 1.85e-493j | 
| -4.1671937509505656197 + 2.9826051230743026512e-1260j | 2.72e-490, 2.72e-490j | 
| -1.4680153253321374729 + 1.6705054447203096562e-1291j | 2.45e-500, 2.45e-500j | 
| -5.8534035514221029558 - 1.7193791459860993323e-1278j | 3.89e-488, 3.89e-488j | 
| -5.1983167792924869517 - 3.5732157911667782474e-1294j | 1.47e-488, 1.47e-488j | 
| -1.6506801238857845559 - 1.80828848458798466e-1311j | 6.74e-499, 6.74e-499j | 
| -4.7560263729937626981 - 2.0794622716471924886e-1300j | 4.06e-489, 4.06e-489j | 
| -10.198276079993948606 - 6.1792891432660804489e-1305j | 2.16e-492, 2.16e-492j | 
| -9.4030421460427774513 + 5.3740483863353105003e-1303j | 9.46e-491, 9.46e-491j | 
| -8.6895579212000117748 - 3.3066904280783698781e-1300j | 2.29e-489, 2.29e-489j | 
| -7.7130886607293033343 + 1.4468368128031982163e-1307j | 3.56e-488, 3.56e-488j | 
| -6.3276237737581348981 - 3.3992564879042293066e-1331j | 5.22e-488, 5.22e-488j | 
| -4.5665619502128693515 - 5.2751130554657047348e-1359j | 2.26e-489, 2.26e-489j | 
| -1.2290262221385897052 + 5.7074781964627557091e-1402j | 5e-502, 5e-502j | 
| -2.3613509779839066297 - 7.1889068235910586936e-1396j | 1.44e-495, 1.44e-495j | 
| -6.8396592683983631633 + 5.3480716061308767259e-1388j | 4.42e-488, 4.42e-488j | 
| -2.2904400041330501608 + 7.4435987376326763107e-1425j | 1.2e-495, 1.2e-495j | 
| -1.0332798442421799226 + 3.8170217075455267838e-1434j | 4.03e-503, 4.03e-503j | 
| -3.9316151502005034367 + 8.0208507436791671116e-1418j | 1.09e-490, 1.09e-490j | 
| -2.6546739192663197361 - 3.708371821774317292e-1440j | 4.73e-495, 4.73e-495j | 
| -3.1253825943399169471 - 5.1267603020070896374e-1434j | 8.18e-493, 8.18e-493j | 
| -5.6217843357956720964 - 9.5044000788443071766e-1450j | 3.12e-488, 3.12e-488j | 
| -8.0982816839480572246 + 2.3093053384800121716e-1479j | 8.09e-488, 8.09e-488j | 
| -5.4058938408026921308 - 2.3431252597485390235e-1514j | 2.23e-488, 2.23e-488j | 
| -0.52464762327529031788 - 8.1071054524561748088e-1552j | 2.11e-506, 2.11e-506j | 
| -3.7779829715511411049 - 3.0686112207104830457e-1534j | 6.09e-491, 6.09e-491j | 
| -0.7012760281229297802 - 1.2528309664540187893e-1553j | 3.15e-505, 3.15e-505j | 
| -3.6403567342037332334 + 1.4352445270834077714e-1536j | 1.92e-491, 1.92e-491j | 
| -3.0231078217169608504 - 2.4997883646744958455e-1547j | 6.72e-493, 6.72e-493j | 
| -2.2153906378216551582 + 8.4950553765681140423e-1551j | 2.91e-496, 2.91e-496j | 
| -4.3888205439114678149 - 2.8255100955641488946e-1543j | 8.91e-490, 8.91e-490j | 
| -3.3971138885789312059 + 3.0234748561109323558e-1563j | 2.24e-492, 2.24e-492j | 
| -7.1191998408659643145 - 4.8670284745645119591e-1595j | 3.88e-488, 3.88e-488j | 
| -6.0897986523049256092 + 2.006435279566450019e-1629j | 4.81e-488, 4.81e-488j | 
| -4.9784193179451938001 - 1.2249052621811792377e-1645j | 7.45e-489, 7.45e-489j | 
| -0.35357530380376040947 - 2.0401385090105347337e-1677j | 1.38e-507, 1.38e-507j | 
| 9.5917904863389958958e-1709 - 1.0873589857226405093e-1708j | 1.44e-1706, 1.44e-1706j | 
| -7.4110540457803254327 + 5.7220433943063071102e-1656j | 3.51e-488, 3.51e-488j | 
| -0.17477192763441092128 + 1.25984943028846798e-1695j | 6.74e-509, 6.74e-509j | 
| -0.87560849309255521627 - 2.6485436860401990974e-1691j | 4.41e-504, 4.41e-504j | 
| -6.5754130910735567465 - 2.6669760478171445353e-1674j | 5.24e-488, 5.24e-488j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 3.1020442798058637892e-34 + 3.8556473932455718558e-1229j | 1.81e-83, 2.07e-326j | 
| 4.1413283466701132804e-61 - 1.2356780847772606337e-1246j | 1.09e-96, 1.25e-339j | 
| 1.7994500871312568525e-11 - 4.8011951553458598393e-1211j | 6.05e-60, 6.91e-303j | 
| 3.4366116874093697895e-55 + 4.748122286700984813e-1243j | 1.64e-94, 1.87e-337j | 
| 1.6302033743753391684e-46 + 1.2977305293006141511e-1237j | 4.41e-91, 5.04e-334j | 
| 1.8897120608475991572e-29 - 6.9226099982089293861e-1225j | 7.6e-82, 8.68e-325j | 
| 0.0001297092925194408957 + 3.8782544205358829577e-1206j | 5.6e-40, 6.4e-283j | 
| 3.7822895535380950559e-05 - 3.8613964689399931287e-1206j | 6.2e-44, 7.09e-287j | 
| 8.7897889527168427304e-32 - 4.239682949629847852e-1227j | 2.04e-83, 2.33e-326j | 
| -0.0017568772952155781965 + 1.6120331712805566237e-1204j | 2.43e-35, 2.78e-278j | 
| 0.0011534481311272937463 - 6.9437929115151435128e-1205j | 2.36e-36, 2.7e-279j | 
| 8.4189936343502523407e-40 + 3.6551216530371178076e-1233j | 3.97e-89, 4.53e-332j | 
| 6.7035516497901943378e-37 - 3.9886511201242395642e-1231j | 2.32e-87, 2.65e-330j | 
| 0.0035570507083777759227 + 6.5674136987603592262e-1205j | 2.68e-33, 3.06e-276j | 
| 1.6443246418046455613e-50 - 3.7668798094595652694e-1240j | 4.9e-95, 5.6e-338j | 
| 8.3361364644297652795e-11 + 2.0463456137149127553e-1210j | 4.81e-65, 5.5e-308j | 
| 2.4688512169977225845e-08 - 8.8001641683664694009e-1209j | 2.53e-60, 2.89e-303j | 
| 0.027220465659877099958 + 4.9730311712828817219e-1204j | 1.42e-23, 1.63e-266j | 
| 5.5426137787459845054e-43 - 2.6175802366852403422e-1235j | 2.06e-91, 2.36e-334j | 
| 7.4124593419309039629e-22 - 1.9217262143402266864e-1220j | 1.09e-80, 1.25e-323j | 
| 4.884984075271550383e-10 - 5.83905575957644634e-1210j | 2.13e-64, 2.43e-307j | 
| 2.3894295331700014339e-15 - 5.9616328021054787531e-1214j | 2.01e-74, 2.3e-317j | 
| 1.3950674255422331311e-06 + 1.1492425368275655959e-1207j | 8.08e-58, 9.23e-301j | 
| 2.2002948802409258577e-13 - 1.7604234615326568733e-1212j | 1.43e-71, 1.63e-314j | 
| 0.06265416907836307793 - 1.4638665836205403338e-1203j | 1.71e-32, 1.95e-275j | 
| 2.3522196498442462274e-25 - 9.615842448874646638e-1223j | 2.08e-84, 2.37e-327j | 
| 2.3829881923610442585e-14 + 3.3753425407841379631e-1213j | 2e-73, 2.29e-316j | 
| 1.5726620481918322093e-23 + 2.0797948771822967531e-1221j | 2.65e-83, 3.02e-326j | 
| 2.51625269187909915e-27 + 5.0571301661255407507e-1224j | 6.59e-86, 7.53e-329j | 
| -0.012777496017069775836 + 1.3344276367391713387e-1203j | 1.1e-44, 1.25e-287j | 
| 1.7535263909592615766e-16 - 4.5435290605963682919e-1215j | 1.17e-77, 1.34e-320j | 
| 1.1114108950578321667e-05 - 1.3843757018158669837e-1206j | 3.76e-61, 4.3e-304j | 
| 2.4100594730398630634e-20 + 1.1758862832264600476e-1218j | 6.74e-82, 7.7e-325j | 
| 5.5567447966799947084e-19 - 3.4139209225824610614e-1217j | 5.13e-81, 5.87e-324j | 
| 0.002154307024322287916 - 1.155215844921495507e-1204j | 1.44e-55, 1.65e-298j | 
| 1.0447093186319013879e-17 + 1.9411346800054917523e-1216j | 7.08e-80, 8.1e-323j | 
| 3.811310202515854605e-09 + 1.198528819998140658e-1209j | 9.31e-71, 1.06e-313j | 
| 9.7230108845770295964e-31 + 2.9227275112230940036e-1225j | 6.06e-90, 6.93e-333j | 
| 0.042129115291876006841 + 1.248341535212685439e-1203j | 1.34e-49, 1.53e-292j | 
| 2.7776699525645842023e-08 + 3.2795167656779723315e-1208j | 3.96e-69, 4.52e-312j | 
| 0.07304118901374134874 + 1.698367814511439888e-1203j | 8.38e-50, 9.58e-293j | 
| 0.087319970717317112972 - 1.833175120966456233e-1203j | 3.18e-50, 3.63e-293j | 
| 2.195589306934494468e-07 - 5.2621005136975441616e-1208j | 1.3e-68, 1.49e-311j | 
| -1.3761503930807228491e-05 + 4.0585500650854969345e-1206j | 7.1e-65, 8.11e-308j | 
| 2.1920044602878366426e-12 + 7.4019385028218920623e-1212j | 7.93e-76, 9.07e-319j | 
| 0.097850146439001853892 + 1.8777119526956910794e-1203j | 3.04e-52, 3.47e-295j | 
| 0.018232040753819498613 - 5.9960739448052407428e-1204j | 3.24e-56, 3.71e-299j | 
| 0.032926994674177831809 - 8.757569529972826874e-1204j | 3.83e-53, 4.37e-296j | 
| 0.017618263725904966932 - 9.7260742265377217208e-1204j | 2.83e-57, 3.24e-300j | 
| 8.7897889527168427304e-32 + 1.0886871359377664947e-1227j | 2.38e-123, 2.72e-366j | 
| 6.7035516497901943378e-37 + 9.9629006464595696236e-1232j | 2.29e-126, 2.61e-369j | 
| 5.5426137787459845054e-43 + 7.5406499229970817998e-1236j | 1.05e-129, 1.2e-372j | 
| 4.1413283466701132804e-61 + 4.5706597602967295238e-1247j | 1.21e-137, 1.38e-380j | 
| -0.012777496017069775836 + 7.2468704471954614756e-1204j | 4.76e-76, 5.44e-319j | 
| 1.8897120608475991572e-29 + 1.4300754854986612451e-1225j | 1.57e-123, 1.79e-366j | 
| 1.6443246418046455613e-50 + 1.2292605779067414791e-1240j | 8.13e-134, 9.29e-377j | 
| 0.0035570507083777759227 + 3.1235413883966938491e-1205j | 5.04e-84, 5.76e-327j | 
| 3.4366116874093697895e-55 - 1.6465170042599759663e-1243j | 1.15e-135, 1.31e-378j | 
| 3.7822895535380950559e-05 - 1.1510810078255759409e-1206j | 8.83e-97, 1.01e-339j | 
| 3.811310202515854605e-09 + 1.868198504055180558e-1210j | 3.89e-107, 4.44e-350j | 
| 0.018232040753819498613 - 3.4405828825330894618e-1204j | 3.95e-79, 4.51e-322j | 
| 1.7535263909592615766e-16 + 1.1159347396919890678e-1216j | 2.45e-117, 2.8e-360j | 
| 2.2002948802409258577e-13 - 5.1620268052085290034e-1214j | 5.04e-114, 5.76e-357j | 
| 0.017618263725904966932 - 5.185819933997623165e-1204j | 1.44e-83, 1.64e-326j | 
| 1.7994500871312568525e-11 - 2.4025408749042068331e-1212j | 1.31e-111, 1.5e-354j | 
| 1.6302033743753391684e-46 - 3.9838067059632922139e-1238j | 4.47e-134, 5.11e-377j | 
| 8.4189936343502523407e-40 - 9.8393844001734837075e-1234j | 3.05e-131, 3.48e-374j | 
| 3.1020442798058637892e-34 - 8.7832654674408589207e-1230j | 6.32e-129, 7.23e-372j | 
| 2.51625269187909915e-27 - 9.4001874107468899656e-1225j | 1.22e-126, 1.39e-369j | 
| 5.5567447966799947084e-19 + 1.0240722122505662158e-1218j | 1.44e-122, 1.65e-365j | 
| 8.3361364644297652795e-11 + 1.2669128139517673187e-1211j | 3.02e-114, 3.45e-357j | 
| 0.027220465659877099958 + 3.1346822453299051246e-1204j | 1.1e-89, 1.25e-332j | 
| 0.0011534481311272937463 - 2.7320038961667008069e-1205j | 1.24e-101, 1.41e-344j | 
| 7.4124593419309039629e-22 + 4.9659944317957591214e-1221j | 4.38e-125, 5.01e-368j | 
| -0.0017568772952155781965 + 6.5482878598630187305e-1205j | 4.24e-101, 4.85e-344j | 
| 0.032926994674177831809 - 5.9531251806557771406e-1204j | 8.26e-92, 9.44e-335j | 
| 2.4688512169977225845e-08 - 1.4600893634210294135e-1209j | 1.06e-112, 1.21e-355j | 
| 0.0001297092925194408957 + 1.3302717319551898331e-1206j | 4.58e-105, 5.23e-348j | 
| 1.1114108950578321667e-05 - 3.7542861388700765053e-1207j | 1.43e-108, 1.64e-351j | 
| 2.3894295331700014339e-15 - 1.0683406272140767541e-1215j | 7.41e-121, 8.47e-364j | 
| 9.7230108845770295964e-31 - 6.2260112083971979723e-1226j | 8.04e-130, 9.19e-373j | 
| 2.3829881923610442585e-14 + 8.3347456868905144198e-1215j | 6.43e-120, 7.35e-363j | 
| 0.07304118901374134874 + 1.3985622000195648146e-1203j | 1.2e-99, 1.37e-342j | 
| 2.7776699525645842023e-08 + 5.7306683967573192307e-1209j | 1.06e-113, 1.21e-356j | 
| 0.06265416907836307793 - 1.1284354135125021638e-1203j | 6.11e-101, 6.98e-344j | 
| 2.195589306934494468e-07 - 1.035340482001352376e-1208j | 1.7e-113, 1.94e-356j | 
| -1.3761503930807228491e-05 + 1.1564795169464251415e-1206j | 1.46e-110, 1.67e-353j | 
| 0.002154307024322287916 - 4.8518083249310611782e-1205j | 2.07e-107, 2.37e-350j | 
| 4.884984075271550383e-10 - 4.3853428634798750069e-1211j | 2.92e-117, 3.33e-360j | 
| 1.3950674255422331311e-06 + 2.6933843587119858208e-1208j | 3.89e-113, 4.45e-356j | 
| 1.5726620481918322093e-23 - 2.7858903431897077153e-1222j | 5.48e-131, 6.26e-374j | 
| 1.0447093186319013879e-17 - 1.1086414116893308823e-1217j | 2.66e-126, 3.04e-369j | 
| 2.1920044602878366426e-12 + 3.2915189278232859567e-1213j | 2.65e-121, 2.99e-364j | 
| 0.087319970717317112972 - 1.6086235659052771871e-1203j | 1.06e-110, 1.13e-353j | 
| 0.097021311612267518632 - 1.8808743877345965137e-1203j | 1.63e-110, 1.79e-353j | 
| 2.3522196498442462274e-25 + 1.5248688949240059867e-1223j | 1.54e-132, 1.73e-375j | 
| 0.097850146439001853892 + 1.760384529628350824e-1203j | 1.55e-111, 1.46e-354j | 
| 0.042129115291876006841 + 9.0108812173119221116e-1204j | 4.17e-112, 3.63e-355j | 
| 2.4100594730398630634e-20 - 7.8769929362747951592e-1220j | 6.8e-129, 7.9e-372j | 
All rules of Hermite (physicists') type can be downloaded here packed into a single file.