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) | 
|---|---|
| -15.314904483538265668 + 4.1468199363110572986e-1169j | 7.8e-491, 7.8e-491j | 
| 15.314904483538265668 + 2.2610579318150325661e-1178j | 8.02e-491, 8.02e-491j | 
| -14.783399569231404891 + 1.0253080510248422596e-1178j | 3.91e-490, 3.91e-490j | 
| 13.795833436519735739 - 2.7401163192897624481e-1190j | 3.76e-489, 3.76e-489j | 
| -17.189081891103674398 - 6.0569962113244038862e-1197j | 7.96e-494, 7.96e-494j | 
| 16.497441656394839913 - 7.4748330391569192618e-1200j | 1.29e-492, 1.29e-492j | 
| -14.278859478878513082 + 1.1666159189632189398e-1208j | 1.3e-489, 1.3e-489j | 
| 18.026784834214697398 + 3.7565106138924888871e-1224j | 1.8e-495, 1.8e-495j | 
| 12.015529443887114537 - 8.6943638673251114937e-1230j | 4.99e-488, 4.99e-488j | 
| 6.0218513061451774811 + 7.0952539945158865685e-1246j | 5.49e-491, 5.49e-491j | 
| -11.189962110712511445 - 1.5255247016211856486e-1260j | 7.6e-488, 7.6e-488j | 
| -12.88001911945555673 - 6.5674376523235502857e-1290j | 1.83e-488, 1.83e-488j | 
| 17.189081891103674398 - 1.2955262410829844494e-1305j | 8.34e-494, 8.34e-494j | 
| 9.2478681753193681524 - 4.8723523349750320803e-1298j | 3.44e-488, 3.44e-488j | 
| 14.783399569231404891 - 1.2797667432228014228e-1297j | 3.59e-490, 3.59e-490j | 
| 4.4445314428073408291 + 4.802303858739176186e-1307j | 1.73e-493, 1.73e-493j | 
| 14.278859478878513082 - 1.0711239926635414272e-1300j | 1.29e-489, 1.29e-489j | 
| -1.9570793272785218266 + 9.7859633965222919431e-1332j | 1.09e-501, 1.09e-501j | 
| -2.9802876226142240763 + 7.7923712216801071421e-1328j | 4.43e-498, 4.43e-498j | 
| 12.88001911945555673 - 1.8496694106277558581e-1316j | 1.8e-488, 1.8e-488j | 
| -13.795833436519735739 - 7.9934550148033821281e-1345j | 3.66e-489, 3.66e-489j | 
| 2.9802876226142240763 + 1.8928767278119808294e-1374j | 4.54e-498, 4.54e-498j | 
| 6.7189925345537940073 + 1.1711779002428412554e-1363j | 3.01e-490, 3.01e-490j | 
| 3.3008613454059083377 + 3.9852191652344842603e-1380j | 4.45e-497, 4.45e-497j | 
| -5.1972139741334507794 + 5.2933014943009107473e-1369j | 2.88e-490, 2.88e-490j | 
| -11.598467076114231611 + 9.0165307619792668912e-1390j | 6.33e-488, 6.33e-488j | 
| 10.395066553463989953 - 2.8527620912864421361e-1403j | 7.07e-488, 7.07e-488j | 
| 9.6249952922651289788 + 1.5861310431614021657e-1404j | 4.69e-488, 4.69e-488j | 
| 8.1429435497375842057 - 2.4448528066869919689e-1408j | 6.3e-489, 6.3e-489j | 
| -7.0705978488736175516 - 1.465228410810039555e-1418j | 7.05e-490, 7.05e-490j | 
| -13.330492871772509116 + 3.9866504442125222376e-1449j | 8.95e-489, 8.95e-489j | 
| 15.881650436438002231 + 1.0870481513592636614e-1471j | 1.24e-491, 1.24e-491j | 
| 1.3174441424841858247 + 2.6733389399354914657e-1507j | 2.55e-504, 2.55e-504j | 
| -12.015529443887114537 - 7.6740566943557089655e-1489j | 4.52e-488, 4.52e-488j | 
| -5.6722419346222860645 - 6.2184938354731149507e-1509j | 2.5e-491, 2.5e-491j | 
| -4.2051618777898870634 - 9.8685178738275581083e-1518j | 3.75e-494, 3.75e-494j | 
| -18.026784834214697398 - 1.8559593338604101323e-1511j | 1.81e-495, 1.81e-495j | 
| 12.442261017176592161 + 2.1498204394456527883e-1510j | 3.14e-488, 3.14e-488j | 
| -12.442261017176592161 + 7.0700089152289456064e-1528j | 3.09e-488, 3.09e-488j | 
| -15.881650436438002231 - 7.4040304554365061901e-1539j | 1.3e-491, 1.3e-491j | 
| -4.4445314428073408291 + 1.5264580575674040431e-1544j | 1.58e-493, 1.58e-493j | 
| -7.42492479354365843 - 1.4421112917593258216e-1538j | 1.54e-489, 1.54e-489j | 
| 7.7822786455193568437 + 6.4889490476272849669e-1539j | 3.34e-489, 3.34e-489j | 
| 7.42492479354365843 + 1.053005909917858041e-1539j | 1.56e-489, 1.56e-489j | 
| -2.6735143535111018002 - 7.9104419583535531647e-1550j | 7.05e-499, 7.05e-499j | 
| 13.330492871772509116 + 1.9762074835502901149e-1538j | 8.81e-489, 8.81e-489j | 
| -2.4494897427831780982 + 8.7766963589572283686e-1556j | 1.53e-499, 1.53e-499j | 
| 8.5072131011482296202 + 3.6973765812476955102e-1543j | 1.22e-488, 1.22e-488j | 
| 0.72406087233068678388 + 1.0050836168353526902e-1565j | 2.15e-506, 2.15e-506j | 
| -16.497441656394839913 - 3.5549738141398719342e-1547j | 1.4e-492, 1.4e-492j | 
| 4.2051618777898870634 - 5.7427128436953649513e-1560j | 3.51e-494, 3.51e-494j | 
| 5.6722419346222860645 - 5.1294379038940208717e-1557j | 2.68e-491, 2.68e-491j | 
| -5.1387830879005830418 - 3.9521917009828403188e-1555j | 8.76e-491, 8.76e-491j | 
| -10.789089009653512602 - 2.473769480343084448e-1552j | 7.87e-488, 7.87e-488j | 
| 2.6735143535111018002 + 1.7464248184587439714e-1572j | 7.22e-499, 7.22e-499j | 
| 5.2390248951021214092 - 3.8482534404753028113e-1564j | 1.92e-490, 1.92e-490j | 
| 3.9316092693297583224 - 1.2187437875762104296e-1571j | 4.69e-495, 4.69e-495j | 
| -6.7189925345537940073 + 3.2055042527658765997e-1563j | 3e-490, 3e-490j | 
| -4.7316953251106660193 + 4.590289376269783006e-1566j | 8.71e-493, 8.71e-493j | 
| 7.0705978488736175516 + 6.6265611663119010851e-1564j | 6.81e-490, 6.81e-490j | 
| 11.189962110712511445 - 8.7807010177494286955e-1561j | 7.48e-488, 7.48e-488j | 
| 4.7316953251106660193 - 1.6766204800709965315e-1566j | 8.64e-493, 8.64e-493j | 
| -0.58242593157741849169 - 3.5866241835969912423e-1580j | 6.17e-507, 6.17e-507j | 
| 5.1972139741334507794 + 1.730232059742311091e-1563j | 2.71e-490, 2.71e-490j | 
| 1 - 5.7547625926995248664e-1579j | 1.54e-505, 1.54e-505j | 
| 8.8754045718181084703 - 9.2083746318328367607e-1562j | 2.05e-488, 2.05e-488j | 
| 5.1387830879005830418 + 1.7925547380470677873e-1564j | 9.04e-491, 9.04e-491j | 
| -1.3174441424841858247 + 1.9109700978194271102e-1577j | 2.64e-504, 2.64e-504j | 
| -0.72406087233068678388 + 4.2572142207285908318e-1580j | 2.39e-506, 2.39e-506j | 
| -3.3008613454059083377 + 3.7639347410002728946e-1570j | 4.47e-497, 4.47e-497j | 
| -8.5072131011482296202 - 1.2382104651232170044e-1561j | 1.17e-488, 1.17e-488j | 
| -8.1429435497375842057 + 2.6375605256677317779e-1562j | 6.97e-489, 6.97e-489j | 
| 0.31503134522768178133 - 1.0973682922016026874e-1585j | 1.56e-508, 1.56e-508j | 
| -2.2535044010417626129 + 4.5652357087235191361e-1578j | 2.67e-500, 2.67e-500j | 
| 1.9570793272785218266 + 6.3415887055771031771e-1579j | 1.11e-501, 1.11e-501j | 
| 3.6214835307306586622 - 6.4921728158717899798e-1574j | 4.3e-496, 4.3e-496j | 
| 0.58242593157741849169 - 4.5559769557501444635e-1584j | 6.19e-507, 6.19e-507j | 
| -7.7822786455193568437 - 4.954621671582338474e-1565j | 3.29e-489, 3.29e-489j | 
| -0.31503134522768178133 - 3.122614245946387539e-1590j | 1.56e-508, 1.56e-508j | 
| -5.2390248951021214092 - 9.1731386241003531258e-1572j | 1.78e-490, 1.78e-490j | 
| 10.007227370103011681 - 3.708352316606462392e-1570j | 5.95e-488, 5.95e-488j | 
| 2.4494897427831780982 + 9.0589432238299627817e-1581j | 1.64e-499, 1.64e-499j | 
| -9.6249952922651289788 + 1.1204838000186901159e-1567j | 4.52e-488, 4.52e-488j | 
| -8.8754045718181084703 - 2.6041261837933557412e-1591j | 2.13e-488, 2.13e-488j | 
| -6.3696949628033208131 - 2.6079988246449326624e-1605j | 1.27e-490, 1.27e-490j | 
| -10.007227370103011681 + 1.8486904748332769765e-1616j | 6.18e-488, 6.18e-488j | 
| 11.598467076114231611 + 3.3562613262718949586e-1634j | 6.18e-488, 6.18e-488j | 
| -10.395066553463989953 + 1.2302933100243847965e-1644j | 7.45e-488, 7.45e-488j | 
| -6.0218513061451774811 + 9.0605683193524053451e-1660j | 5.48e-491, 5.48e-491j | 
| -1.638713499982732431 + 1.6645386954808953199e-1672j | 4.76e-503, 4.76e-503j | 
| -3.9316092693297583224 - 4.5578286897854371581e-1664j | 4.92e-495, 4.92e-495j | 
| 6.3696949628033208131 + 1.9340002338717487754e-1660j | 1.16e-490, 1.16e-490j | 
| 2.2535044010417626129 - 2.3129757673807492372e-1670j | 2.76e-500, 2.76e-500j | 
| 10.789089009653512602 - 4.9820906684079303034e-1657j | 7.97e-488, 7.97e-488j | 
| -3.6214835307306586622 - 2.166464468608292181e-1665j | 4e-496, 4e-496j | 
| -1 - 1.339684491722324721e-1674j | 1.71e-505, 1.71e-505j | 
| -9.2478681753193681524 + 7.0545244926543597767e-1657j | 3.4e-488, 3.4e-488j | 
| 1.638713499982732431 - 6.2012103864880021731e-1676j | 4.75e-503, 4.75e-503j | 
| 1.2497895675333150241e-1724 - 1.7048142325365819967e-1723j | 1.69e-1721, 1.69e-1721j | 
| Weight (ball center) | Error (ball radius) | 
|---|---|
| 2.5594450394246330659e-52 + 8.7153546285140562322e-1220j | 4.97e-136, 1.7e-379j | 
| 2.5594450394246330659e-52 + 3.4651068723237117892e-1222j | 6.03e-137, 2.07e-380j | 
| 7.1953776462791016264e-49 - 1.4298006935933133081e-1218j | 9.99e-135, 3.42e-378j | 
| 8.8676599600525200927e-43 - 5.2404315166738374901e-1217j | 6.07e-133, 2.08e-376j | 
| 2.0612648742488581491e-65 + 6.0732148358705651802e-1228j | 4.7e-142, 1.61e-385j | 
| 2.0516429766997323341e-60 + 1.59349127866746334e-1226j | 1.32e-140, 4.51e-384j | 
| 1.0484416721113395817e-45 + 3.767289260065857803e-1217j | 3.2e-134, 1.1e-377j | 
| 1.0521637729265030645e-71 + 1.6386047737997010586e-1232j | 4.24e-145, 1.45e-388j | 
| 7.5113800283787913903e-33 - 1.7140906637949582892e-1211j | 3.03e-129, 1.04e-372j | 
| 1.8526994105183936343e-09 - 1.7684749961048377716e-1196j | 7.78e-104, 2.66e-347j | 
| 1.0416782486547731039e-28 - 2.5233542091100419694e-1208j | 1.35e-127, 4.63e-371j | 
| 1.6767964394761047928e-37 - 4.9399197929206880586e-1213j | 3.46e-132, 1.19e-375j | 
| 2.0612648742488581491e-65 - 3.5018111275687344205e-1229j | 5.1e-143, 1.75e-386j | 
| 4.0135293218232484271e-20 + 4.8800158798696452244e-1204j | 1.03e-121, 3.52e-365j | 
| 7.1953776462791016264e-49 - 2.5248801197226728915e-1220j | 4.82e-137, 1.65e-380j | 
| 5.2022534168331593179e-06 - 3.4390690466108826223e-1193j | 8.77e-98, 3.01e-341j | 
| 1.0484416721113395817e-45 + 1.3188863716236198004e-1218j | 6.75e-136, 2.31e-379j | 
| 0.018437380681619400988 + 6.34906854155044598e-1191j | 1.35e-71, 4.62e-315j | 
| 0.001493058526709152699 + 1.0690988804426930981e-1191j | 1.22e-86, 4.18e-330j | 
| 1.6767964394761047928e-37 - 4.2660652420545699703e-1214j | 2.84e-133, 9.74e-377j | 
| 8.8676599600525200927e-43 - 1.0042507859621338225e-1215j | 1.42e-138, 4.86e-382j | 
| 0.001493058526709152699 + 7.2078636815111824612e-1192j | 3.6e-87, 1.23e-330j | 
| 2.1996246369491829962e-11 - 3.9668483468573499039e-1198j | 1.2e-113, 4.1e-357j | 
| 0.0005529014595031520792 - 2.9581322817425027639e-1192j | 1.36e-90, 4.66e-334j | 
| -2.2161585318034032876e-06 + 1.6382088528194219406e-1192j | 4.14e-109, 1.42e-352j | 
| 1.0112184014124114968e-30 + 2.0014408355164228068e-1209j | 3.84e-134, 1.32e-377j | 
| 5.3521392863127632101e-25 - 5.6722782417967782419e-1207j | 3.25e-128, 1.11e-371j | 
| 1.1577142575324093617e-21 - 5.5744271164516585609e-1205j | 1.27e-125, 4.35e-369j | 
| 5.7759192865390872026e-16 - 2.175899324268279536e-1201j | 3.29e-121, 1.13e-364j | 
| 1.9618065064568072595e-12 + 1.7004273297126120022e-1198j | 3.18e-122, 1.09e-365j | 
| 4.7184013763808136689e-40 + 2.3850328223779225359e-1214j | 8.62e-140, 2.95e-383j | 
| 3.9822883766972640697e-56 - 3.1198305472794907687e-1224j | 8.37e-144, 2.87e-387j | 
| 0.053724040181747627377 + 9.2701806371811164777e-1191j | 1.17e-73, 4.02e-317j | 
| 7.5113800283787913903e-33 - 1.4198701632783086485e-1210j | 4.16e-137, 1.43e-380j | 
| 1.456802580685757253e-08 + 3.2976007889496614166e-1195j | 5.64e-117, 1.93e-360j | 
| 1.4163101883845628971e-05 + 1.0987611452762056271e-1192j | 1.01e-108, 3.46e-352j | 
| 1.0521637729265030645e-71 - 2.0146114116233358656e-1231j | 7.43e-156, 2.54e-399j | 
| 4.1672964960251239027e-35 + 9.2439145604143877909e-1213j | 3.12e-137, 1.07e-380j | 
| 4.1672964960251239027e-35 + 8.9320122790363682931e-1212j | 2.15e-138, 7.38e-382j | 
| 3.9822883766972640697e-56 + 1.7173119995778614582e-1222j | 8.63e-149, 2.96e-392j | 
| 5.2022534168331593179e-06 - 6.2513093386448989634e-1193j | 1.27e-112, 4.37e-356j | 
| 1.516654245622667485e-13 - 2.821181710119320123e-1199j | 5.89e-127, 2.02e-370j | 
| 1.010841502193585849e-14 + 1.4887526689112695442e-1200j | 6.18e-127, 2.12e-370j | 
| 1.516654245622667485e-13 - 9.7885811292027931076e-1200j | 4.37e-126, 1.5e-369j | 
| 0.0032003916747687682481 - 3.212530732131864601e-1191j | 8.7e-104, 2.98e-347j | 
| 4.7184013763808136689e-40 + 1.6522329040614233628e-1215j | 7.93e-142, 2.72e-385j | 
| 0.003196786906909953437 + 6.819854611690426985e-1191j | 2.75e-102, 9.44e-346j | 
| 2.8123690297000741468e-17 + 3.0261460245476197345e-1202j | 1.52e-129, 5.22e-373j | 
| 0.060813884128018828909 + 5.5756293317590005085e-1190j | 4.86e-92, 1.67e-335j | 
| 2.0516429766997323341e-60 - 4.2867739560268815621e-1225j | 3.55e-153, 1.21e-396j | 
| 1.4163101883845628971e-05 + 6.2535409859724795822e-1193j | 9.86e-116, 3.38e-359j | 
| 1.456802580685757253e-08 + 1.5151012422338171482e-1195j | 5.25e-122, 1.8e-365j | 
| 1.449342730595595672e-06 - 9.1572196204614239593e-1193j | 9e-121, 3.08e-364j | 
| 8.3782982660139833767e-27 + 2.8689318049667396248e-1207j | 5.98e-140, 2.05e-383j | 
| 0.0032003916747687682481 - 2.2576111133953375434e-1191j | 7.95e-109, 2.73e-352j | 
| 1.1819458498132040614e-06 - 3.9485443704330633604e-1193j | 3.96e-121, 1.36e-364j | 
| 5.2309664489915798394e-05 - 9.2148671243975346574e-1193j | 7.6e-116, 2.61e-359j | 
| 2.1996246369491829962e-11 - 1.016822049229909203e-1197j | 4.06e-130, 1.39e-373j | 
| 1.7452665279993149552e-06 + 2.6091477131242553002e-1193j | 3.92e-121, 1.34e-364j | 
| 1.9618065064568072595e-12 + 6.2624658120562753883e-1199j | 1.81e-127, 6.2e-371j | 
| 1.0416782486547731039e-28 - 3.9270866122217113444e-1209j | 1.35e-140, 4.64e-384j | 
| 1.7452665279993149552e-06 + 1.3774483564847075419e-1193j | 2.2e-120, 7.55e-364j | 
| 0.06091103778811356219 - 6.8588362540381033503e-1190j | 7.1e-106, 2.43e-349j | 
| -2.2161585318034032876e-06 + 8.080535507619239977e-1193j | 1.82e-121, 6.24e-365j | 
| 0.075262154453923946963 - 1.960441728777773381e-1190j | 4.78e-106, 1.64e-349j | 
| 1.1591145678454884507e-18 - 3.9712215416008586565e-1203j | 6.7e-135, 2.3e-378j | 
| 1.449342730595595672e-06 - 4.5559011365424734921e-1193j | 1.21e-121, 4.14e-365j | 
| 0.053724040181747627377 + 1.101520364741134029e-1190j | 4.3e-110, 1.47e-353j | 
| 0.060813884128018828909 + 6.1290030979932607271e-1190j | 2.82e-108, 9.67e-352j | 
| 0.0005529014595031520792 - 4.583627446058367268e-1192j | 3.7e-122, 1.27e-365j | 
| 2.8123690297000741468e-17 + 1.0589376406618696083e-1201j | 1.51e-142, 5.18e-386j | 
| 5.7759192865390872026e-16 - 7.1168702966832070425e-1201j | 2.18e-141, 7.48e-385j | 
| 0.11708217460698662656 + 3.5943729330080731311e-1190j | 9.98e-112, 3.42e-355j | 
| 0.0082709911224594815656 - 7.5348794276211512195e-1191j | 3.74e-119, 1.28e-362j | 
| 0.018437380681619400988 + 4.9102493608159989635e-1191j | 6.62e-119, 2.27e-362j | 
| 0.00017999514162850277089 + 1.4934220808760978575e-1192j | 3.08e-123, 1.06e-366j | 
| 0.06091103778811356219 - 6.3562658232440337951e-1190j | 4.42e-113, 1.52e-356j | 
| 1.010841502193585849e-14 + 4.5649410711545365474e-1200j | 3.07e-140, 1.05e-383j | 
| 0.11708217460698662656 + 3.745352895403375273e-1190j | 1.92e-114, 6.57e-358j | 
| 1.1819458498132040614e-06 - 8.0546915504100091753e-1193j | 1.63e-130, 5.58e-374j | 
| 2.7554128191962999323e-23 + 5.8759610159135440231e-1206j | 4.8e-143, 1.64e-386j | 
| 0.003196786906909953437 + 4.9391077968799272341e-1191j | 1.38e-122, 4.73e-366j | 
| 1.1577142575324093617e-21 - 2.443372101796436182e-1204j | 3.87e-147, 1.33e-390j | 
| 1.1591145678454884507e-18 - 1.4918095792445930005e-1202j | 6.44e-145, 2.21e-388j | 
| 2.1508653235661400562e-10 + 6.1991177591547950913e-1197j | 3.22e-138, 1.1e-381j | 
| 2.7554128191962999323e-23 + 2.803332920826298059e-1205j | 2.31e-148, 7.91e-392j | 
| 1.0112184014124114968e-30 + 2.7637672802005243248e-1210j | 4.86e-152, 1.66e-395j | 
| 5.3521392863127632101e-25 - 2.9642055620914203091e-1206j | 2.89e-149, 9.9e-393j | 
| 1.8526994105183936343e-09 - 4.0604006473628090109e-1196j | 2.36e-138, 8.07e-382j | 
| 0.033437083827080095737 - 7.3498449581858734918e-1191j | 1.56e-130, 5.34e-374j | 
| 5.2309664489915798394e-05 - 1.5580204464000308837e-1192j | 7.88e-135, 2.7e-378j | 
| 2.1508653235661400562e-10 + 2.5572253384814729677e-1197j | 1.53e-139, 5.26e-383j | 
| 0.0082709911224594815656 - 5.601877517909507001e-1191j | 1.33e-132, 4.54e-376j | 
| 8.3782982660139833767e-27 + 4.974049635114772739e-1208j | 1.16e-150, 3.99e-394j | 
| 0.00017999514162850277089 + 2.4184556527113553795e-1192j | 2.83e-135, 9.69e-379j | 
| 0.075262154453923946963 - 2.2343439029153423894e-1190j | 9.25e-133, 3.17e-376j | 
| 4.0135293218232484271e-20 + 1.9757046884479444157e-1203j | 3.39e-147, 1.16e-390j | 
| 0.033437083827080095737 - 5.9289930579727399799e-1191j | 6.96e-134, 2.29e-377j | 
| 0.12672853484846303562 - 2.9044846512490149879e-1190j | 7.2e-133, 2.62e-376j | 
All rules of Hermite (probabilists') type can be downloaded here packed into a single file.