Rule: Q[44]

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.

• $P_1$:
  $\frac{3281063172710606398620225}{2199023255552}\cdot t^{44}-\frac{17838423916001342833877775}{1099511627776}\cdot t^{42}+\frac{180692741078554778587867815}{2199023255552}\cdot t^{40}-\frac{141506363495253742267607325}{549755813888}\cdot t^{38}+\frac{1228135475767449145853431475}{2199023255552}\cdot t^{36}-\frac{979399176877839192262863075}{1099511627776}\cdot t^{34}+\frac{2378540858131895181209810325}{2199023255552}\cdot t^{32}-\frac{140447174480169048795245943}{137438953472}\cdot t^{30}+\frac{836911245190048441451123085}{1099511627776}\cdot t^{28}-\frac{247537128859028412260191335}{549755813888}\cdot t^{26}+\frac{233187150374447055027716475}{1099511627776}\cdot t^{24}-\frac{21831632803035070280749575}{274877906944}\cdot t^{22}+\frac{25862088089749237101811035}{1099511627776}\cdot t^{20}-\frac{2999875907846370603995175}{549755813888}\cdot t^{18}+\frac{1074896988057364642649325}{1099511627776}\cdot t^{16}-\frac{18218593017921434621175}{137438953472}\cdot t^{14}+\frac{29085823940892114921525}{2199023255552}\cdot t^{12}-\frac{1026558492031486408995}{1099511627776}\cdot t^{10}+\frac{96845140757687397075}{2199023255552}\cdot t^8-\frac{699603700003933725}{549755813888}\cdot t^6+\frac{42832879592077575}{2199023255552}\cdot t^4-\frac{130191123380175}{1099511627776}\cdot t^2+\frac{263012370465}{2199023255552}$

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.