Rule: Q[36]

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.

• $P_1$:
  $\frac{110628135069209194801}{17179869184}\cdot t^{36}-\frac{490814965447899948765}{8589934592}\cdot t^{34}+\frac{3990539066902490887785}{17179869184}\cdot t^{32}-\frac{615456273999886654335}{1073741824}\cdot t^{30}+\frac{4118822756768472225165}{4294967296}\cdot t^{28}-\frac{2471293654061083335099}{2147483648}\cdot t^{26}+\frac{4388909494917224502225}{4294967296}\cdot t^{24}-\frac{733256065736776006425}{1073741824}\cdot t^{22}+\frac{2971616687459565920775}{8589934592}\cdot t^{20}-\frac{570310273350825782775}{4294967296}\cdot t^{18}+\frac{329273478576137150055}{8589934592}\cdot t^{16}-\frac{8804103705244308825}{1073741824}\cdot t^{14}+\frac{5450159436579810225}{4294967296}\cdot t^{12}-\frac{294362129962575675}{2147483648}\cdot t^{10}+\frac{42051732851796525}{4294967296}\cdot t^8-\frac{456375395290815}{1073741824}\cdot t^6+\frac{166966608033225}{17179869184}\cdot t^4-\frac{755505013725}{8589934592}\cdot t^2+\frac{2268783825}{17179869184}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Legendre type can be downloaded here packed into a single file.