Rule: Q[46]

Type

Polynomials

One starts from the polynomial $P_1$ and extends one by one with $P_{\mathrm{i}}$ 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.

• $P_1$:
  $t^{46}-1035\cdot t^{44}+489555\cdot t^{42}-140502285\cdot t^{40}+27397945575\cdot t^{38}-3852151147845\cdot t^{36}+404475870523725\cdot t^{34}-32415851909115675\cdot t^{32}+2009782818365171850\cdot t^{30}-97139502887649972750\cdot t^{28}+3671873209153168969950\cdot t^{26}-108487162997707265021250\cdot t^{24}+2495204748947267095488750\cdot t^{22}-44337869000524515312146250\cdot t^{20}+601728222149975564950556250\cdot t^{18}-6137627865929750762495673750\cdot t^{16}+46032208994473130718717553125\cdot t^{14}-246407706970414993847252784375\cdot t^{12}+903494925558188310773260209375\cdot t^{10}-2139856402637814420252458390625\cdot t^8+2995798963692940188353441746875\cdot t^6-2139856402637814420252458390625\cdot t^4+583597200719403932796125015625\cdot t^2-25373791335626257947657609375$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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