Rule: Q[1, 56]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{57}-28\cdot t^{55}+\frac{1485}{8}\cdot t^{53}-\frac{6201}{8}\cdot t^{51}+\frac{292825}{128}\cdot t^{49}-\frac{162435}{32}\cdot t^{47}+\frac{4502365}{512}\cdot t^{45}-\frac{6242775}{512}\cdot t^{43}+\frac{225489033}{16384}\cdot t^{41}-\frac{104819165}{8192}\cdot t^{39}+\frac{5178066751}{524288}\cdot t^{37}-\frac{3335195799}{524288}\cdot t^{35}+\frac{28760021745}{8388608}\cdot t^{33}-\frac{1622360201}{1048576}\cdot t^{31}+\frac{9797370045}{16777216}\cdot t^{29}-\frac{3083513363}{16777216}\cdot t^{27}+\frac{51538723353}{1073741824}\cdot t^{25}-\frac{5545773675}{536870912}\cdot t^{23}+\frac{31179571995}{17179869184}\cdot t^{21}-\frac{4418157975}{17179869184}\cdot t^{19}+\frac{7952684355}{274877906944}\cdot t^{17}-\frac{173996955}{68719476736}\cdot t^{15}+\frac{184542225}{1099511627776}\cdot t^{13}-\frac{8940555}{1099511627776}\cdot t^{11}+\frac{9641775}{35184372088832}\cdot t^9-\frac{105183}{17592186044416}\cdot t^7+\frac{169911}{2251799813685248}\cdot t^5-\frac{1015}{2251799813685248}\cdot t^3+\frac{29}{36028797018963968}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Chebyshev U (second kind) type can be downloaded here packed into a single file.