Rule: Q[15, 100]

Type

This rule is of Hermite (probabilists') type.

Polynomials

One starts from the polynomial P1 and extends one by one with Pi 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 locations in the complex plane

Plot of the node locations in the complex plane.

Magnitude of the Weights

Logarithmic magnitude of the weights
         plotted against the (real part) of the nodes.

Quadrature Rule Data

Nodes

Node (ball center) Error (ball radius)
17.701481207124910938 + 6.539735195736558313e-1471j 7.4e-489, 7.4e-489j
-16.640489155984105973 - 1.3344822797724500107e-1464j 3.29e-487, 3.29e-487j
13.975493977792684861 + 2.1326437514337975129e-1473j 2.02e-484, 2.02e-484j
-18.297166942070435665 - 6.5205101768222161291e-1475j 5.79e-490, 5.79e-490j
-13.183446982886538298 - 2.3672754915460054142e-1482j 5.49e-484, 5.49e-484j
-17.701481207124910938 + 1.918211245883155666e-1500j 6.59e-489, 6.59e-489j
-12.422230142859089897 - 1.074168145672865008e-1504j 9.4e-484, 9.4e-484j
-15.23986830433122206 - 3.3483344767176279878e-1517j 1.83e-485, 1.83e-485j
5.4637573930080102609 + 1.9493462209895779603e-1532j 1.05e-489, 1.05e-489j
7.622613297593183646 - 1.1503561582373786873e-1529j 1.54e-486, 1.54e-486j
12.799379326119809004 - 5.1480366239185109964e-1527j 8.09e-484, 8.09e-484j
-17.153731498278065702 + 3.4366450512864930977e-1526j 5.38e-488, 5.38e-488j
18.297166942070435665 - 1.2426402644061717083e-1536j 5.62e-490, 5.62e-490j
-9.2567100146834785962 + 1.4699611188533649536e-1528j 9.27e-485, 9.27e-485j
-12.799379326119809004 - 1.2393417210908479464e-1544j 7.78e-484, 7.78e-484j
-15.688070344291190923 + 4.7272202606935473759e-1568j 6.01e-486, 6.01e-486j
-14.806356566177608839 - 2.9669531357339843168e-1596j 4.51e-485, 4.51e-485j
11.326303090346765602 + 7.552512666021695613e-1623j 8.42e-484, 8.42e-484j
-10.620601017088375118 - 1.0612031298566979193e-1651j 5.83e-484, 5.83e-484j
7.9439553675025539461 - 8.706871473628411842e-1675j 4.09e-486, 4.09e-486j
-6.0572997017943904561 + 2.3796551176677479639e-1679j 8.99e-489, 8.99e-489j
18.966859203997373253 - 5.1281587812754563059e-1685j 2.47e-491, 2.47e-491j
-16.153702839302994258 - 3.7848148278001017449e-1676j 1.48e-486, 1.48e-486j
4.174819275974153853 - 4.8382944087960534963e-1697j 2.08e-491, 2.08e-491j
15.688070344291190923 - 7.0414125618967159753e-1687j 5.99e-486, 5.99e-486j
8.5946344104204546933 - 3.4374640340416187851e-1688j 2.12e-485, 2.12e-485j
6.3639478888298383177 + 1.5369171543369408912e-1700j 2.5e-488, 2.5e-488j
-11.686208014653952737 - 1.0130277743175225009e-1704j 9.82e-484, 9.82e-484j
8.2679335632862818543 + 1.7890483924927265124e-1727j 9.69e-486, 9.69e-486j
-4.4380576294043502354 - 1.8362918956537392429e-1734j 1.39e-491, 1.39e-491j
19.778832209563347716 + 6.1115324962937751829e-1735j 4.53e-493, 4.53e-493j
12.051357223599206375 + 6.385842436383063044e-1726j 9.76e-484, 9.76e-484j
3.8709764964248201887 - 4.1127278844305356432e-1744j 1.36e-493, 1.36e-493j
-13.575186892274490119 - 1.0407366795505396166e-1732j 3.54e-484, 3.54e-484j
13.575186892274490119 + 7.5492214436027013541e-1752j 3.7e-484, 3.7e-484j
16.640489155984105973 - 2.6735102920633284136e-1756j 3.34e-487, 3.34e-487j
4.7047873550209345829 + 1.1284107395230344497e-1760j 5.11e-491, 5.11e-491j
5.755945845315147717 - 1.3530062693530121005e-1759j 3.09e-489, 3.09e-489j
-1.8787584154408426732 + 1.6307788590019383773e-1772j 1.73e-501, 1.73e-501j
13.183446982886538298 + 4.6242490436800662306e-1752j 5.52e-484, 5.52e-484j
-18.966859203997373253 - 4.7501105279865134939e-1758j 2.5e-491, 2.5e-491j
16.153702839302994258 + 8.8533396009131597576e-1756j 1.54e-486, 1.54e-486j
10.274110461507799513 + 5.0369979496200387327e-1753j 4.21e-484, 4.21e-484j
1.3365728690733157545 + 8.0565736739250310629e-1782j 8.56e-504, 8.56e-504j
-12.051357223599206375 - 1.4794322432729643887e-1760j 1.02e-483, 1.02e-483j
-5.755945845315147717 - 1.5946302849520336194e-1788j 2.9e-489, 2.9e-489j
-3.2890824243987663889 + 5.1179454911281239912e-1796j 5.54e-496, 5.54e-496j
5.1900935913047811995 - 1.743135676766537277e-1790j 3.94e-490, 3.94e-490j
1.0674739480328053946 - 1.72412489009259608e-1805j 5.98e-505, 5.98e-505j
6.0572997017943904561 - 1.171908346371939693e-1789j 8.57e-489, 8.57e-489j
-4.1962077112690156596 + 2.1949028548281662089e-1791j 2.47e-491, 2.47e-491j
-3.0006030106496774299 - 3.6295289109131057595e-1797j 4.38e-497, 4.38e-497j
-4.174819275974153853 + 5.3883683659266540965e-1792j 2.05e-491, 2.05e-491j
3.2890824243987663889 - 4.7927112173777978725e-1798j 5.79e-496, 5.79e-496j
6.674318350610922252 + 4.721228479895181551e-1788j 8.7e-488, 8.7e-488j
4.945166415097333788 - 3.1968620378737569027e-1791j 1.49e-490, 1.49e-490j
-6.674318350610922252 - 7.1541023568772772486e-1784j 7.89e-488, 7.89e-488j
17.153731498278065702 + 1.2395804841183133146e-1791j 5.41e-488, 5.41e-488j
-9.9314638377013307942 + 4.1945058731573213454e-1788j 2.57e-484, 2.57e-484j
14.385445076070600629 + 1.3834988194294390164e-1806j 1.07e-484, 1.07e-484j
11.686208014653952737 - 3.5215575433827597395e-1805j 9.79e-484, 9.79e-484j
-6.9877253692617620949 - 1.5226884510471870627e-1807j 2.24e-487, 2.24e-487j
-1.6067100690287297365 - 8.0199435101749939234e-1824j 1.35e-502, 1.35e-502j
9.2567100146834785962 + 1.3805268841613166741e-1806j 8.04e-485, 8.04e-485j
-3.8709764964248201887 - 6.5997700487608067988e-1815j 1.34e-493, 1.34e-493j
-10.971223506307428361 + 1.9356514242484347402e-1803j 7.35e-484, 7.35e-484j
-13.975493977792684861 - 4.0641408927711439553e-1815j 2.09e-484, 2.09e-484j
-4.945166415097333788 + 1.0406240234877967228e-1833j 1.74e-490, 1.74e-490j
-9.592405747568325227 - 6.9129192012754603049e-1827j 1.56e-484, 1.56e-484j
-5.4637573930080102609 - 1.4556045138553566279e-1840j 1.15e-489, 1.15e-489j
-14.385445076070600629 - 1.945717790772315531e-1833j 1.09e-484, 1.09e-484j
15.23986830433122206 - 8.8219576342627577031e-1839j 1.82e-485, 1.82e-485j
12.422230142859089897 - 9.7780743039776691714e-1837j 8.77e-484, 8.77e-484j
-1.3365728690733157545 - 3.7672142377442525696e-1857j 8.61e-504, 8.61e-504j
9.592405747568325227 + 7.5645485736482318278e-1838j 1.54e-484, 1.54e-484j
14.806356566177608839 + 5.8078114919587303246e-1838j 4.92e-485, 4.92e-485j
1.8787584154408426732 - 9.9437105824932759306e-1855j 1.78e-501, 1.78e-501j
7.3038637284332470135 - 7.4207622805755487954e-1841j 5.98e-487, 5.98e-487j
-0.79912906832454799942 - 2.3609184457543628616e-1859j 3.49e-506, 3.49e-506j
-2.7148407841754646965 + 4.3358137484676197276e-1852j 3.47e-498, 3.47e-498j
2.1537723474884929132 + 6.3326314588475509218e-1854j 2.49e-500, 2.49e-500j
2.7148407841754646965 + 3.6397982693319123131e-1852j 3.47e-498, 3.47e-498j
-3.5794906207881804669 - 1.4887207987092614873e-1848j 7.25e-495, 7.25e-495j
3.5794906207881804669 - 3.6639695963851739447e-1848j 7.67e-495, 7.67e-495j
-19.778832209563347716 + 3.2123988293416558605e-1846j 4.87e-493, 4.87e-493j
-7.3038637284332470135 - 6.1479392640673081724e-1839j 5.88e-487, 5.88e-487j
-2.4324368270097580412 - 1.8706793294527310043e-1852j 3.17e-499, 3.17e-499j
4.4380576294043502354 + 6.4667821261707059547e-1845j 1.44e-491, 1.44e-491j
8.9241773930716375839 + 7.8776151079972326432e-1839j 4.45e-485, 4.45e-485j
-8.9241773930716375839 - 3.5584062037342629473e-1836j 4.61e-485, 4.61e-485j
-7.9439553675025539461 + 4.7784382784892908686e-1842j 4e-486, 4e-486j
10.971223506307428361 + 2.1651335148986936847e-1844j 7.53e-484, 7.53e-484j
1.6067100690287297365 - 4.6821317204824383519e-1863j 1.38e-502, 1.38e-502j
-8.2679335632862818543 - 1.547922226012651232e-1843j 9.71e-486, 9.71e-486j
-4.7047873550209345829 - 4.1068274317321390929e-1870j 4.93e-491, 4.93e-491j
-2.1537723474884929132 + 3.7183874820379816445e-1880j 2.44e-500, 2.44e-500j
-8.5946344104204546933 - 7.5850724077252235739e-1863j 2.13e-485, 2.13e-485j
0.79912906832454799942 - 1.1424066760934212951e-1898j 3.24e-506, 3.24e-506j
10.620601017088375118 + 2.1306032249517702308e-1874j 5.93e-484, 5.93e-484j
-1.0674739480328053946 + 2.0119878584298092129e-1900j 5.5e-505, 5.5e-505j
-5.1900935913047811995 + 2.1881814695172342882e-1885j 4.14e-490, 4.14e-490j
0.2654612526784686163 + 1.5957116548052285417e-1903j 9.68e-509, 9.68e-509j
2.4324368270097580412 - 1.0588261818636034394e-1893j 3.25e-499, 3.25e-499j
9.9314638377013307942 + 6.9524725247685939929e-1878j 2.47e-484, 2.47e-484j
-10.274110461507799513 - 9.9099641289029393171e-1890j 4.29e-484, 4.29e-484j
-0.2654612526784686163 + 4.2433228415730065332e-1940j 9.68e-509, 9.68e-509j
-0.53173336225590700366 + 7.7898363042917724536e-1940j 2.1e-507, 2.1e-507j
4.1962077112690156596 - 3.8190216633788233719e-1923j 2.62e-491, 2.62e-491j
0.53173336225590700366 - 2.2199776613344658419e-1938j 2.55e-507, 2.55e-507j
1.6273737719996500878e-1987 - 1.4946424515212033191e-1989j 1.87e-1985, 1.87e-1985j
-7.622613297593183646 + 2.2078049525440216944e-1914j 1.54e-486, 1.54e-486j
-11.326303090346765602 - 1.4941758981232961988e-1934j 8.32e-484, 8.32e-484j
-6.3639478888298383177 - 2.0924797991056813837e-1956j 2.78e-488, 2.78e-488j
6.9877253692617620949 - 8.9716476625425990822e-1957j 2.21e-487, 2.21e-487j
3.0006030106496774299 - 1.3465638921526181597e-1966j 4.26e-497, 4.26e-497j

Weights

Weight (ball center) Error (ball radius)
2.0626654224336928002e-69 + 7.0634285286292941744e-1531j 2.67e-115, 1.27e-355j
1.4778276945892598008e-61 - 1.7295317750504976657e-1524j 1.36e-112, 6.45e-353j
6.2560769254647295987e-44 - 1.0189422788201143358e-1515j 1.59e-104, 7.54e-345j
5.0114372800133765806e-74 - 3.4179209115489586539e-1532j 1.22e-117, 5.8e-358j
2.8091828951524405581e-39 - 4.5947237737698929664e-1514j 9.08e-103, 4.32e-343j
2.0626654224336928002e-69 + 1.3846686045362135953e-1529j 4.7e-116, 2.24e-356j
4.6269798998899913825e-35 - 7.6556152376863173078e-1512j 1.42e-100, 6.76e-341j
6.4802802555296657628e-52 + 1.8052292389817956374e-1520j 1.01e-109, 4.79e-350j
3.7457327226570369638e-08 + 1.7403525622371864919e-1495j 1.85e-66, 8.81e-307j
3.0827920839642177803e-14 - 3.8227830515331786587e-1500j 5.42e-82, 2.58e-322j
4.048581802216545008e-37 + 6.3757637058625091374e-1513j 8.76e-106, 4.16e-346j
2.6825233289808111175e-65 - 4.1258102410715767725e-1527j 3.32e-115, 1.58e-355j
5.0114372800133765806e-74 - 2.157211443985312559e-1533j 3.85e-123, 1.83e-363j
3.2971477321596876813e-20 + 1.2477464738260180553e-1503j 2.33e-91, 1.11e-331j
4.048581802216545008e-37 + 6.236413369455758214e-1513j 6.74e-103, 3.21e-343j
6.5604856081668630337e-55 - 6.7891532484621653065e-1522j 7.43e-112, 3.53e-352j
4.2310156937817218692e-49 - 4.3814698418372258239e-1519j 1.18e-109, 5.59e-350j
1.983045942743440361e-29 + 5.9147666775031184768e-1509j 4.26e-105, 2.03e-345j
4.4619679707558148037e-26 + 5.7475096383371485899e-1507j 1.49e-98, 7.09e-339j
2.548318417680898362e-15 + 7.7081641460424175364e-1501j 9.13e-90, 4.34e-330j
1.3092014061377475989e-09 + 1.0962009296904430953e-1496j 8.01e-79, 3.81e-319j
2.2015079912778431557e-79 + 2.7095530579986306844e-1536j 7.28e-129, 3.46e-369j
4.1227314471997693332e-58 + 2.6728975953809100195e-1523j 1.35e-113, 6.4e-354j
3.3788536391707330909e-05 + 5.2081532241718254827e-1492j 1.85e-66, 8.78e-307j
6.5604856081668630337e-55 + 8.7153883191025502019e-1523j 3.77e-120, 1.79e-360j
1.1932725104198034273e-17 + 2.7855002503864168933e-1502j 1.7e-94, 8.09e-335j
1.9768805474636834123e-10 - 1.7797632929611273376e-1497j 1.2e-83, 5.72e-324j
3.1982660868241344812e-31 - 8.7376319517673845256e-1510j 9.23e-105, 4.39e-345j
1.8591526556727928381e-16 - 1.4965098617843178408e-1501j 1.29e-92, 6.12e-333j
5.8970668441536232812e-06 + 3.665224349544413961e-1493j 1.82e-73, 8.67e-314j
4.2222472502664403284e-86 - 6.5444956919200020127e-1540j 1.05e-132, 5.02e-373j
4.2583824481994883399e-33 + 6.8530673744916865329e-1511j 1.17e-109, 5.58e-350j
6.4906707135856838311e-05 - 5.8683378001604590626e-1493j 2.11e-69, 1e-309j
1.5181735310442087011e-41 + 3.0422848439148379049e-1515j 2.02e-111, 9.62e-352j
1.5181735310442087011e-41 + 6.7546112990549926721e-1515j 1.26e-114, 5.99e-355j
1.4778276945892598008e-61 + 1.5233049555691894477e-1526j 1.52e-124, 7.2e-365j
1.5717824267901843105e-06 - 7.8162561048199382148e-1494j 3.24e-78, 1.54e-318j
7.5937460842773077028e-09 - 3.7201026375804173581e-1496j 2.2e-84, 1.05e-324j
0.018671998247958900424 + 5.1310514400332762558e-1492j 2.08e-53, 9.87e-294j
2.8091828951524405581e-39 - 6.0465977408127968344e-1514j 9.42e-114, 4.48e-354j
2.2015079912778431557e-79 + 3.9082615223076477643e-1535j 1.2e-132, 5.71e-373j
4.1227314471997693332e-58 - 1.3051490990749102239e-1524j 2.83e-123, 1.35e-363j
1.6468059994987902354e-24 - 2.9252130531997496815e-1506j 2.7e-106, 1.29e-346j
0.044012552159142092227 + 8.3139606735402637699e-1492j 1.01e-46, 4.79e-287j
4.2583824481994883399e-33 + 8.5505514412019971215e-1511j 1.17e-111, 5.57e-352j
7.5937460842773077028e-09 - 4.9812018086594552786e-1496j 3.94e-92, 1.87e-332j
0.0005171005454722305349 - 8.707822462810590399e-1493j 5.05e-76, 2.4e-316j
1.4654132953935646627e-07 - 7.7482840513530343201e-1495j 2.36e-84, 1.12e-324j
0.060643213653447882074 - 1.0377163986921771946e-1491j 3.01e-45, 1.43e-285j
1.3092014061377475989e-09 + 8.0799155000571373777e-1497j 1.27e-88, 6.02e-329j
-1.4172865492575757659e-05 - 6.3727096724062129614e-1492j 1.15e-83, 5.46e-324j
0.001270709737500792426 + 1.200799781714538345e-1492j 2.96e-76, 1.41e-316j
3.3788536391707330909e-05 + 6.4733720080949757858e-1492j 1.47e-83, 7.01e-324j
0.0005171005454722305349 - 7.3246920571285160587e-1493j 7.91e-78, 3.76e-318j
2.6415354074599926941e-11 + 3.9255790502336801532e-1498j 9.62e-95, 4.58e-335j
4.5832338721329367692e-07 + 2.7186332495752020386e-1494j 8.18e-86, 3.89e-326j
2.6415354074599926941e-11 + 5.4629063782390909507e-1498j 1.37e-101, 6.51e-342j
2.6825233289808111175e-65 - 1.2844587037124850181e-1528j 8.98e-131, 4.27e-371j
5.1919445103648948582e-23 + 3.0353477899171391927e-1505j 2.27e-113, 1.08e-353j
1.9163792516764351728e-46 - 1.3845739407082870486e-1517j 7.58e-123, 3.6e-363j
3.1982660868241344812e-31 - 6.5720147815979077676e-1510j 5.46e-115, 2.6e-355j
3.1334206656021635099e-12 - 1.2069803071686958187e-1498j 1.16e-104, 5.52e-345j
0.029728221702394635126 - 6.9264836429514704917e-1492j 3.76e-70, 1.79e-310j
3.2971477321596876813e-20 + 8.3786158359289448835e-1504j 1.91e-108, 9.07e-349j
6.4906707135856838311e-05 - 7.184660183536431627e-1493j 1.34e-88, 6.37e-329j
1.0254319278034975822e-27 - 7.1307345275133405516e-1508j 2.39e-116, 1.14e-356j
6.2560769254647295987e-44 - 1.79868388438351465e-1516j 5.41e-124, 2.57e-364j
4.5832338721329367692e-07 + 3.5073618703292185107e-1494j 4.59e-97, 2.18e-337j
1.4071479863176055223e-21 - 2.0042866474715337484e-1504j 4.99e-114, 2.37e-354j
3.7457327226570369638e-08 + 2.2999610030295615348e-1495j 1.12e-99, 5.34e-340j
1.9163792516764351728e-46 + 9.4396137060451633186e-1518j 2.52e-125, 1.2e-365j
6.4802802555296657628e-52 - 4.8580831178643723418e-1521j 8.51e-130, 4.05e-370j
4.6269798998899913825e-35 - 6.7474124054854864215e-1512j 9.67e-122, 4.6e-362j
0.044012552159142092227 + 8.9266980167856873327e-1492j 8.67e-80, 4.12e-320j
1.4071479863176055223e-21 - 1.3450032071679032268e-1504j 1.8e-115, 8.58e-356j
4.2310156937817218692e-49 + 2.4650230674278288283e-1519j 1.4e-128, 6.68e-369j
0.018671998247958900424 + 4.6439544388655921586e-1492j 1.49e-88, 7.07e-329j
3.3003609843218574601e-13 + 1.8345291000023365405e-1499j 3.2e-108, 1.52e-348j
0.077668412483847727883 + 1.2933321012298936477e-1491j 6.88e-81, 3.27e-321j
0.0028447319370909763477 - 1.7306286314395040783e-1492j 5.39e-94, 2.56e-334j
0.010857949592181663825 - 3.256530232329175266e-1492j 2.99e-91, 1.42e-331j
0.0028447319370909763477 - 1.4993822847777683558e-1492j 1.08e-94, 5.12e-335j
0.00019171949043133000739 + 6.9826551348346544727e-1493j 3.4e-98, 1.62e-338j
0.00019171949043133000739 + 5.7875427873410929607e-1493j 5.74e-98, 2.73e-338j
4.2222472502664403284e-86 - 9.3068194255050468986e-1539j 1.15e-150, 5.45e-391j
3.3003609843218574601e-13 + 2.6132945678836055278e-1499j 1.8e-114, 8.57e-355j
0.0058095124188323634174 + 2.5259677595851788041e-1492j 1.03e-95, 4.88e-336j
5.8970668441536232812e-06 + 2.9110357167431733957e-1493j 2.97e-101, 1.41e-341j
6.7133867549111675903e-19 - 4.951861841713647004e-1503j 7.53e-115, 3.58e-355j
6.7133867549111675903e-19 - 7.3502515769644260085e-1503j 1.88e-119, 8.93e-360j
2.548318417680898362e-15 + 1.1204435013999130907e-1500j 8.34e-118, 3.97e-358j
1.0254319278034975822e-27 - 4.9874586737433637344e-1508j 2.89e-123, 1.38e-363j
0.029728221702394635126 - 6.3595133672505164339e-1492j 1.18e-97, 5.63e-338j
1.8591526556727928381e-16 - 2.1938239594728775505e-1501j 8.04e-119, 3.82e-359j
1.5717824267901843105e-06 - 9.9690642997103203444e-1494j 3.53e-108, 1.68e-348j
0.010857949592181663825 - 3.6504467077855757312e-1492j 6.6e-102, 3.14e-342j
1.1932725104198034273e-17 + 4.1124636417171216264e-1502j 1.33e-119, 6.33e-360j
0.077668412483847727883 + 1.2394243437341736181e-1491j 4.34e-100, 2.07e-340j
4.4619679707558148037e-26 + 3.9420795595769272447e-1507j 9.96e-124, 4.74e-364j
0.060643213653447882074 - 1.098405996774616089e-1491j 2.79e-101, 1.33e-341j
1.4654132953935646627e-07 - 1.011167514019196099e-1494j 1.52e-110, 7.22e-351j
0.10235343217027027799 + 1.5447219133456890136e-1491j 1.96e-103, 9.33e-344j
0.0058095124188323634174 + 2.2208087705752605486e-1492j 2.09e-106, 9.95e-347j
5.1919445103648948582e-23 + 2.0423119949526430528e-1505j 4.64e-122, 2.21e-362j
1.6468059994987902354e-24 - 4.3178240788389392952e-1506j 1.29e-124, 6.11e-365j
0.10235343217027027799 + 1.5667388054525566558e-1491j 1.68e-104, 8e-345j
0.092417231214918569256 - 1.4575318249984099012e-1491j 1.56e-104, 7.44e-345j
-1.4172865492575757659e-05 - 5.1217591296073474904e-1492j 1.28e-108, 6.09e-349j
0.092417231214918569256 - 1.4168039658236829226e-1491j 4.71e-105, 2.24e-345j
0.10584114393322543245 - 1.5985979883647844268e-1491j 4.57e-105, 2.17e-345j
3.0827920839642177803e-14 - 5.5034720669513429447e-1500j 2.38e-118, 1.13e-358j
1.983045942743440361e-29 + 8.2113773549255222903e-1509j 1.29e-127, 6.14e-368j
1.9768805474636834123e-10 - 2.4459531337525790772e-1497j 1.47e-115, 6.99e-356j
3.1334206656021635099e-12 - 8.5697708072090249838e-1499j 1.47e-117, 7.09e-358j
0.001270709737500792426 + 1.0251102905904251747e-1492j 4.13e-111, 1.91e-351j

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All rules of Hermite (probabilists') type can be downloaded here packed into a single file.