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.

• $P_1$:
  $\frac{25674715590128696833261065}{4398046511104}\cdot t^{46}-\frac{292014622371243969477200025}{4398046511104}\cdot t^{44}+\frac{1551942880692116826547366425}{4398046511104}\cdot t^{42}-\frac{5119627663892385393322921425}{4398046511104}\cdot t^{40}+\frac{11745028170106060608211407975}{4398046511104}\cdot t^{38}-\frac{19895794707432676162825589895}{4398046511104}\cdot t^{36}+\frac{25790844991116432062922060975}{4398046511104}\cdot t^{34}-\frac{26163949439450846993307913575}{4398046511104}\cdot t^{32}+\frac{10533538086012678659643445725}{2199023255552}\cdot t^{30}-\frac{6788280099874837358436887245}{2199023255552}\cdot t^{28}+\frac{3515027229798203454094716957}{2199023255552}\cdot t^{26}-\frac{1462719397803349708810221525}{2199023255552}\cdot t^{24}+\frac{487573132601116569603407175}{2199023255552}\cdot t^{22}-\frac{129310440448746185509055175}{2199023255552}\cdot t^{20}+\frac{26998883170617335435956575}{2199023255552}\cdot t^{18}-\frac{4371247751433282880107255}{2199023255552}\cdot t^{16}+\frac{1074896988057364642649325}{4398046511104}\cdot t^{14}-\frac{97523056742991208854525}{4398046511104}\cdot t^{12}+\frac{6273413006859083610525}{4398046511104}\cdot t^{10}-\frac{270146971587233265525}{4398046511104}\cdot t^8+\frac{7135957740040123995}{4398046511104}\cdot t^6-\frac{99943385714847675}{4398046511104}\cdot t^4+\frac{556271163533475}{4398046511104}\cdot t^2-\frac{514589420475}{4398046511104}$

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.