Rule: Q[4, 26]

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.

• $P_1$:
  $t^4-6\cdot t^2+3$
• $P_2$:
  $t^{30}-\frac{5551889582589847}{14034565486637}\cdot t^{28}+\frac{10446823022283250821}{154380220353007}\cdot t^{26}-\frac{1018951218627262616475}{154380220353007}\cdot t^{24}+\frac{2736181514635588869525}{6712183493609}\cdot t^{22}-\frac{10219444445714530223925}{610198499419}\cdot t^{20}+\frac{285672334235558196305925}{610198499419}\cdot t^{18}-\frac{5466076290997159029376275}{610198499419}\cdot t^{16}+\frac{71094019363512913815854625}{610198499419}\cdot t^{14}-\frac{616457662947059781468859875}{610198499419}\cdot t^{12}+\frac{3444381417064654515554980875}{610198499419}\cdot t^{10}-\frac{11747550342411579500016337125}{610198499419}\cdot t^8+\frac{22435126401148897969032625125}{610198499419}\cdot t^6-\frac{20712361223497629609450174375}{610198499419}\cdot t^4+\frac{6902164669750959186681114375}{610198499419}\cdot t^2-\frac{344707237908050990670140625}{610198499419}$

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.