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) |
|---|---|
| 12.056119702752422911 + 1.1714453367724161381e-1457j | 6.29e-497, 6.29e-497j |
| -10.51114655819831019 - 1.8475248650133273825e-1468j | 2.64e-493, 2.64e-493j |
| 8.6702496106936037559 + 3.9059738885166874307e-1471j | 8.8e-491, 8.8e-491j |
| 9.7191400349324572412 + 2.0250186769148916284e-1491j | 5.75e-492, 5.75e-492j |
| -12.056119702752422911 + 4.2362094332353804539e-1517j | 6.14e-497, 6.14e-497j |
| -9.7191400349324572412 + 8.3566155249370147963e-1514j | 5.34e-492, 5.34e-492j |
| -10.954916166908208822 - 6.6877080292629061387e-1514j | 3.16e-494, 3.16e-494j |
| -1.5589783943976448698 + 4.984886859646956621e-1521j | 4.57e-501, 4.57e-501j |
| 10.51114655819831019 + 2.9227328491648060819e-1509j | 2.61e-493, 2.61e-493j |
| 3.7137631265679917539 + 2.6592234362258724095e-1522j | 6.92e-494, 6.92e-494j |
| 0.95452011014285350763 + 5.3332088358082960815e-1541j | 3.97e-503, 3.97e-503j |
| -10.102526006012901512 + 1.2390383776779968155e-1527j | 1.39e-492, 1.39e-492j |
| -2.5908105533767676276 - 6.334391650293637857e-1541j | 1.74e-497, 1.74e-497j |
| 11.453090078914790371 - 1.6786212310928245121e-1532j | 2.31e-495, 2.31e-495j |
| 9.3550460221308660361 - 7.5843086329557816083e-1580j | 1.61e-491, 1.61e-491j |
| -11.453090078914790371 - 1.6055483970985110833e-1616j | 2.32e-495, 2.32e-495j |
| 3.0701613138889128067 - 1.7473646028557676528e-1615j | 7.93e-496, 7.93e-496j |
| 9.0063314534875854079 - 3.2554855258358574028e-1636j | 3.98e-491, 3.98e-491j |
| -0.99713595268718123137 + 1.0612313392177441441e-1671j | 1.24e-502, 1.24e-502j |
| -6.2668220587829946522 - 2.2414580726890702273e-1659j | 1.65e-490, 1.65e-490j |
| 4.4082144859880361458 + 1.2091475346644120675e-1682j | 1.15e-492, 1.15e-492j |
| 8.3447799074529941324 + 3.068007331252730409e-1730j | 1.49e-490, 1.49e-490j |
| 8.0283822130535627641 - 1.0183688423223485126e-1770j | 2.14e-490, 2.14e-490j |
| -9.3550460221308660361 - 3.8719845399863850789e-1796j | 1.66e-491, 1.66e-491j |
| -3.0701613138889128067 - 9.2523425472764068607e-1800j | 7.54e-496, 7.54e-496j |
| -1.7281759088743055938 - 7.2939941505382174191e-1805j | 2.74e-500, 2.74e-500j |
| 7.719849665821629747 + 6.0221591396808296286e-1792j | 2.69e-490, 2.69e-490j |
| -4.4082144859880361458 - 7.3093634797528971709e-1808j | 1.26e-492, 1.26e-492j |
| -8.6702496106936037559 - 1.4295830033115867897e-1802j | 8.83e-491, 8.83e-491j |
| -0.95452011014285350763 - 3.1223616651903142773e-1815j | 3.92e-503, 3.92e-503j |
| -5.7174890723562729554 - 1.2752187171590045638e-1803j | 6.08e-491, 6.08e-491j |
| 10.954916166908208822 + 2.0546298412223520611e-1805j | 3.13e-494, 3.13e-494j |
| 10.102526006012901512 + 9.3079395055894087641e-1802j | 1.37e-492, 1.37e-492j |
| -6.5474910115238500326 - 3.12061130593900265e-1810j | 2.26e-490, 2.26e-490j |
| -7.1226928047538234292 + 1.4458070558283606614e-1809j | 3.22e-490, 3.22e-490j |
| -4.6619767146983668312 + 3.0833679641099803867e-1811j | 2.84e-492, 2.84e-492j |
| 1.8949059937695129199 - 2.4639331674785650665e-1818j | 1.17e-499, 1.17e-499j |
| 1.0528618511264968493 - 1.0074962372840299705e-1821j | 1.04e-502, 1.04e-502j |
| 0.99713595268718123137 - 2.1426660469191916745e-1821j | 1.1e-502, 1.1e-502j |
| 4.1613210549598107747 + 2.7297350936773559554e-1810j | 4.59e-493, 4.59e-493j |
| -8.3447799074529941324 - 7.9045764454165541594e-1810j | 1.47e-490, 1.47e-490j |
| -7.719849665821629747 - 1.4786866789070777449e-1809j | 2.68e-490, 2.68e-490j |
| 6.5474910115238500326 - 4.0330055008854563502e-1808j | 2.46e-490, 2.46e-490j |
| 2.1145491140355109261 - 2.7976710935072363831e-1834j | 5.11e-499, 5.11e-499j |
| 6.8326313281523393596 - 5.1484592254899344141e-1824j | 2.89e-490, 2.89e-490j |
| -9.0063314534875854079 + 6.7162760836544503231e-1833j | 4.09e-491, 4.09e-491j |
| 5.4483115076547775341 - 5.0359886011900639339e-1831j | 2.99e-491, 2.99e-491j |
| 5.9902535462547410629 + 1.1680776366880895465e-1839j | 1e-490, 1e-490j |
| 0.66802643384397082363 - 1.5088131040304198785e-1861j | 5.28e-506, 5.28e-506j |
| -3.9268135162497144207 - 5.3937838904192843131e-1849j | 1.86e-493, 1.86e-493j |
| -2.8316281594202268568 + 1.2767469329984588024e-1852j | 1.13e-496, 1.13e-496j |
| -5.9902535462547410629 + 2.049130589336278361e-1846j | 1.02e-490, 1.02e-490j |
| -4.1613210549598107747 - 7.216663882021041335e-1849j | 4.78e-493, 4.78e-493j |
| 4.9203923165895255439 - 5.6174843309489484849e-1845j | 6.94e-492, 6.94e-492j |
| 5.7174890723562729554 - 2.0984888820517934281e-1856j | 5.96e-491, 5.96e-491j |
| -2.3506049736744922228 + 2.7834928321084871059e-1877j | 2.77e-498, 2.77e-498j |
| -7.418215683564538316 - 4.9681027346031866219e-1868j | 3.11e-490, 3.11e-490j |
| 1.7281759088743055938 + 2.1927970504419950112e-1878j | 2.77e-500, 2.77e-500j |
| 3.5146554049490998692 - 1.1796493611307978359e-1872j | 2.18e-494, 2.18e-494j |
| -6.8326313281523393596 - 9.4099102780008139474e-1869j | 2.8e-490, 2.8e-490j |
| 1.3358490740136969497 + 3.6578204783805517403e-1881j | 3.34e-502, 3.34e-502j |
| -1.8949059937695129199 + 1.1315777582902608839e-1878j | 1.1e-499, 1.1e-499j |
| 3.3010252621176390287 - 6.3389408191396096575e-1873j | 4.35e-495, 4.35e-495j |
| 2.8316281594202268568 - 2.7073023003093986445e-1875j | 1.23e-496, 1.23e-496j |
| 1.5589783943976448698 + 1.7005197456662073268e-1879j | 4.35e-501, 4.35e-501j |
| 1.8089691198800044627e-1930 - 6.2539676405950020352e-1931j | 1.7e-1928, 1.7e-1928j |
| -0.66802643384397082363 + 1.7107011734679294749e-1884j | 5.68e-506, 5.68e-506j |
| -2.1145491140355109261 - 9.7256653782499176313e-1878j | 4.81e-499, 4.81e-499j |
| -0.43607741192761650868 - 2.2033210313318878096e-1886j | 1.56e-507, 1.56e-507j |
| 2.3506049736744922228 - 2.4506469464723720139e-1876j | 2.75e-498, 2.75e-498j |
| 3.9268135162497144207 + 1.4884080454588806653e-1868j | 1.99e-493, 1.99e-493j |
| -0.21445461322406112175 - 4.1524924381069294715e-1897j | 7.78e-509, 7.78e-509j |
| -3.5146554049490998692 - 8.4794751308617444126e-1883j | 2.07e-494, 2.07e-494j |
| -3.3010252621176390287 - 6.0224879587701653482e-1884j | 4.5e-495, 4.5e-495j |
| 2.5908105533767676276 - 4.0633671408651328367e-1886j | 1.84e-497, 1.84e-497j |
| 7.418215683564538316 + 3.9583463657572673031e-1877j | 3.22e-490, 3.22e-490j |
| -3.7137631265679917539 - 9.4946292248652960397e-1896j | 7.19e-494, 7.19e-494j |
| 5.1826026091503501389 + 5.1184228673346098638e-1891j | 1.48e-491, 1.48e-491j |
| -1.0528618511264968493 + 1.0462957818118859653e-1913j | 1.04e-502, 1.04e-502j |
| -5.4483115076547775341 - 2.27082668613085211e-1902j | 3.18e-491, 3.18e-491j |
| 7.1226928047538234292 - 6.5780582945832459148e-1900j | 3.31e-490, 3.31e-490j |
| -5.1826026091503501389 + 8.9683581035849490675e-1917j | 1.42e-491, 1.42e-491j |
| 4.6619767146983668312 - 1.9491937893419582292e-1915j | 2.88e-492, 2.88e-492j |
| 0.21445461322406112175 + 5.6588232679226006741e-1946j | 7.78e-509, 7.78e-509j |
| -8.0283822130535627641 - 4.0333809289590816219e-1927j | 2.17e-490, 2.17e-490j |
| -1.3358490740136969497 + 4.4466276630316158886e-1946j | 3.69e-502, 3.69e-502j |
| 0.43607741192761650868 + 2.8549769444137275094e-1951j | 1.81e-507, 1.81e-507j |
| 6.2668220587829946522 - 2.012585677840393295e-1934j | 1.57e-490, 1.57e-490j |
| -4.9203923165895255439 + 1.3163431790020559368e-1953j | 6.83e-492, 6.83e-492j |
| Weight (ball center) | Error (ball radius) |
|---|---|
| 2.9528870424905322539e-64 - 4.0203557034414237005e-1520j | 6.72e-169, 1.11e-411j |
| 2.4897630094445312868e-49 + 6.1463256178249018215e-1514j | 2.18e-164, 3.61e-407j |
| 4.2000918575990628927e-34 - 1.5785419682400863414e-1503j | 7.37e-157, 1.22e-399j |
| 1.9902041357172744534e-42 - 4.0052939427962001026e-1509j | 5.16e-161, 8.53e-404j |
| 2.9528870424905322539e-64 - 7.2874592964993689841e-1522j | 1.89e-170, 3.13e-413j |
| 1.9902041357172744534e-42 + 3.2484964479755435184e-1510j | 1.32e-162, 2.19e-405j |
| 1.9974551320934293385e-53 - 4.017894852051724022e-1516j | 1.04e-166, 1.72e-409j |
| 0.010074094068969395386 - 1.4454067480739443366e-1484j | 2.36e-100, 3.9e-343j |
| 2.4897630094445312868e-49 - 3.43037827286601948e-1513j | 2.11e-166, 3.49e-409j |
| 1.1645758276031099852e-07 - 1.462513574131526222e-1488j | 2.81e-132, 4.64e-375j |
| 0.22166791087003174412 - 7.7972527019325127525e-1483j | 1.38e-102, 2.28e-345j |
| 1.0549517536720691133e-45 - 5.5042135707822740391e-1512j | 5.41e-164, 8.94e-407j |
| 0.00016527621650741039256 + 8.3660173018154715519e-1487j | 1.82e-120, 3.01e-363j |
| 3.2622282848042650042e-58 + 2.1055654307711960057e-1518j | 7.34e-170, 1.21e-412j |
| 1.9706709858829179463e-39 + 2.7264403964268331944e-1507j | 2.26e-162, 3.73e-405j |
| 3.2622282848042650042e-58 + 1.1447090513932927353e-1518j | 2.43e-170, 4.02e-413j |
| 1.0731724941403313163e-05 + 2.1771428720519592133e-1487j | 1.41e-129, 2.33e-372j |
| 1.1431423578483073615e-36 - 1.8544979724058758368e-1505j | 2.19e-161, 3.62e-404j |
| -0.27874348221448757952 + 1.0140759046891916628e-1482j | 5.18e-110, 8.56e-353j |
| 1.3812618675763132047e-18 - 9.7559412185770377961e-1497j | 2.47e-154, 4.08e-397j |
| 5.1467035540274674843e-10 + 1.5581059923478243822e-1490j | 3.59e-142, 5.93e-385j |
| 1.03582560890496879e-31 + 1.0829593569658633693e-1502j | 4.24e-160, 7.01e-403j |
| 1.7929233013789515974e-29 - 9.8840876301707995931e-1502j | 1.16e-159, 1.91e-402j |
| 1.9706709858829179463e-39 - 1.3839492201133747425e-1508j | 4.56e-167, 7.54e-410j |
| 1.0731724941403313163e-05 + 1.0769126578135544835e-1487j | 7.44e-136, 1.23e-378j |
| 0.0041071345702078428853 + 9.2256786950992057157e-1485j | 3.83e-119, 6.33e-362j |
| 2.2562617113828556699e-27 + 1.0273682969879419524e-1500j | 1.44e-159, 2.38e-402j |
| 5.1467035540274674843e-10 + 5.3735469146924845163e-1491j | 2.58e-147, 4.26e-390j |
| 4.2000918575990628927e-34 - 1.1714999430158887063e-1505j | 3.9e-166, 6.44e-409j |
| 0.22166791087003174412 - 6.3172188174569252496e-1483j | 2.1e-110, 3.47e-353j |
| 9.7129984891864646044e-16 - 5.7687509397732725344e-1495j | 6.44e-155, 1.06e-397j |
| 1.9974551320934293385e-53 + 1.1306582952152615179e-1515j | 2.88e-172, 4.76e-415j |
| 1.0549517536720691133e-45 + 4.6026932936116755138e-1511j | 1.41e-168, 2.34e-411j |
| 3.8451481163502808037e-20 + 1.1205653411325623331e-1497j | 1.64e-159, 2.72e-402j |
| 1.5306784782608098091e-23 + 1.1053958926240534932e-1499j | 1.97e-162, 3.26e-405j |
| 5.262768379137519016e-11 - 9.4110775536663294479e-1492j | 7.83e-152, 1.29e-394j |
| 0.0031111793335847433718 - 5.7231447213923625101e-1485j | 9.37e-133, 1.55e-375j |
| 0.14605170802291631437 - 5.43378303042221269e-1483j | 2.13e-119, 3.52e-362j |
| -0.27874348221448757952 + 1.2635777872101647908e-1482j | 2.18e-118, 3.61e-361j |
| 4.1191815879776589835e-09 - 8.0122513083120068553e-1490j | 1.66e-150, 2.74e-393j |
| 1.03582560890496879e-31 + 2.5011403644527537852e-1504j | 4.97e-167, 8.23e-410j |
| 2.2562617113828556699e-27 + 6.9310110871585249707e-1502j | 3.66e-165, 6.06e-408j |
| 3.8451481163502808037e-20 + 7.2301777155752364459e-1497j | 1.78e-163, 2.95e-406j |
| 0.0014937052301362825954 + 1.5233921523127499118e-1485j | 5.11e-139, 8.44e-382j |
| 8.6122838603460731999e-22 - 8.8149186688263132975e-1498j | 2.57e-164, 4.24e-407j |
| 1.1431423578483073615e-36 + 4.5100898329365834054e-1507j | 1.33e-170, 2.19e-413j |
| 1.9364254818974287769e-14 + 1.6158277556837536914e-1493j | 1.25e-160, 2.07e-403j |
| 4.039372457753783118e-17 + 3.9000590611853618309e-1495j | 2.15e-162, 3.55e-405j |
| 0.086245252656514812061 + 6.3870161393022866659e-1484j | 5.44e-130, 9e-373j |
| 2.5536093016241924955e-08 + 1.5171591197535551633e-1489j | 2.12e-154, 3.5e-397j |
| 4.4656406043684145932e-05 - 2.8854962935783331375e-1487j | 3.17e-148, 5.24e-391j |
| 4.039372457753783118e-17 + 7.7979661061518419119e-1496j | 1.62e-162, 2.67e-405j |
| 4.1191815879776589835e-09 - 2.9672908030261574028e-1490j | 2.56e-155, 4.23e-398j |
| 4.4944265453018531502e-12 + 5.406726658869362778e-1492j | 1.63e-160, 2.7e-403j |
| 9.7129984891864646044e-16 - 2.5872707571339941929e-1494j | 7.55e-163, 1.25e-405j |
| 0.00053721483010523563683 - 2.6516192905328031158e-1486j | 9.41e-148, 1.56e-390j |
| 2.1238243484364641847e-25 - 9.3143105002528015542e-1501j | 3.29e-168, 5.44e-411j |
| 0.0041071345702078428853 + 1.3552604955183223444e-1484j | 5.86e-145, 9.69e-388j |
| 4.9440680478770157205e-07 + 4.0062226003529424601e-1488j | 1.21e-155, 2e-398j |
| 8.6122838603460731999e-22 - 1.1717379292861541024e-1498j | 1.61e-166, 2.66e-409j |
| 0.022506517297301976735 + 3.3678006308870541335e-1484j | 1.77e-143, 2.93e-386j |
| 0.0031111793335847433718 - 3.7497466644134631214e-1485j | 5.32e-147, 8.81e-390j |
| 2.3400177436338621917e-06 - 9.2878012945709516929e-1488j | 4.67e-155, 7.73e-398j |
| 4.4656406043684145932e-05 - 5.4989922604536623058e-1487j | 1.01e-153, 1.67e-396j |
| 0.010074094068969395386 - 2.0431073662117873297e-1484j | 2.63e-146, 4.34e-389j |
| 0.12015235704037053095 - 4.9656911181355157185e-1484j | 9.76e-144, 1.61e-386j |
| 0.086245252656514812061 + 5.5137699768275000998e-1484j | 3.36e-144, 5.56e-387j |
| 0.0014937052301362825954 + 9.4859187707922284902e-1486j | 1.63e-150, 2.69e-393j |
| 0.10558965057450030294 - 4.6837132923384867784e-1484j | 1.36e-144, 2.26e-387j |
| 0.00053721483010523563683 - 4.5010262372829490138e-1486j | 5.96e-152, 9.85e-395j |
| 2.5536093016241924955e-08 + 3.8372428059767876319e-1489j | 4.39e-158, 7.26e-401j |
| 0.11705929078300033969 + 4.7762632761944455483e-1484j | 2.09e-145, 3.46e-388j |
| 4.9440680478770157205e-07 + 1.7688288903170851868e-1488j | 1.17e-158, 1.94e-401j |
| 2.3400177436338621917e-06 - 4.3336328236113235565e-1488j | 1.13e-157, 1.88e-400j |
| 0.00016527621650741039256 + 1.5038201575431956485e-1486j | 3.05e-154, 5.06e-397j |
| 2.1238243484364641847e-25 - 1.043374975304240925e-1499j | 1.82e-173, 3.02e-416j |
| 1.1645758276031099852e-07 - 6.126102668269675177e-1489j | 6.54e-160, 1.07e-402j |
| 3.2219717833678278337e-13 - 9.5640780074391163832e-1493j | 8.62e-166, 1.43e-408j |
| 0.14605170802291631437 - 4.3070692746579106799e-1483j | 4.35e-151, 7.12e-394j |
| 1.9364254818974287769e-14 + 3.9816340430930713649e-1494j | 1.09e-167, 1.78e-410j |
| 1.5306784782608098091e-23 + 9.9537670659629193331e-1499j | 6.13e-173, 1.02e-415j |
| 3.2219717833678278337e-13 - 2.5854107988122325481e-1493j | 3.17e-167, 5.2e-410j |
| 5.262768379137519016e-11 - 2.9446986961946305939e-1491j | 4.26e-165, 7.25e-408j |
| 0.11705929078300033969 + 5.0066863314059244213e-1484j | 2.83e-156, 4.78e-399j |
| 1.7929233013789515974e-29 - 4.4949807303280890091e-1503j | 4.77e-177, 7.92e-420j |
| 0.022506517297301976735 + 2.5056618882970826444e-1484j | 2.36e-157, 4.03e-400j |
| 0.10558965057450030294 - 5.1549478036578557665e-1484j | 1.12e-156, 1.94e-399j |
| 1.3812618675763132047e-18 - 5.5024291473022746211e-1496j | 1.01e-170, 1.8e-413j |
| 4.4944265453018531502e-12 + 1.5934726049283224591e-1492j | 1.6e-166, 2.58e-409j |
All rules of Hermite (physicists') type can be downloaded here packed into a single file.