Rule: Q[47]

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.

• $P_1$:
  $t^{47}-1081\cdot t^{45}+535095\cdot t^{43}-161063595\cdot t^{41}+33018036975\cdot t^{39}-4893273079695\cdot t^{37}+543153311846145\cdot t^{35}-46168031506922325\cdot t^{33}+3047090079456873450\cdot t^{31}-157432987438605128250\cdot t^{29}+6391779290007368206950\cdot t^{27}-203955866435689658239950\cdot t^{25}+5098896660892241455998750\cdot t^{23}-99232373477364391412898750\cdot t^{21}+1488485602160465871193481250\cdot t^{19}-16968735864629310931605686250\cdot t^{17}+144234254849349142918648333125\cdot t^{15}-890858632893038823909298528125\cdot t^{13}+3860387409203168236940293621875\cdot t^{11}-11174805658219697527985060484375\cdot t^9+20114650184795455550373108871875\cdot t^7-20114650184795455550373108871875\cdot t^5+9143022811270661613805958578125\cdot t^3-1192568192774434123539907640625\cdot t$

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.