Rule: Q[1, 60]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{61}-30\cdot t^{59}+\frac{1711}{8}\cdot t^{57}-\frac{3857}{4}\cdot t^{55}+\frac{197505}{64}\cdot t^{53}-\frac{477477}{64}\cdot t^{51}+\frac{28989675}{2048}\cdot t^{49}-\frac{11068785}{512}\cdot t^{47}+\frac{443161355}{16384}\cdot t^{45}-\frac{459884425}{16384}\cdot t^{43}+\frac{6388855935}{262144}\cdot t^{41}-\frac{2334608675}{131072}\cdot t^{39}+\frac{23065933709}{2097152}\cdot t^{37}-\frac{12058015581}{2097152}\cdot t^{35}+\frac{341643774795}{134217728}\cdot t^{33}-\frac{15991836267}{16777216}\cdot t^{31}+\frac{323313211485}{1073741824}\cdot t^{29}-\frac{85794224747}{1073741824}\cdot t^{27}+\frac{304179524103}{17179869184}\cdot t^{25}-\frac{27923456925}{8589934592}\cdot t^{23}+\frac{67282234305}{137438953472}\cdot t^{21}-\frac{8205150525}{137438953472}\cdot t^{19}+\frac{25510558905}{4398046511104}\cdot t^{17}-\frac{483477705}{1099511627776}\cdot t^{15}+\frac{890616825}{35184372088832}\cdot t^{13}-\frac{37550331}{35184372088832}\cdot t^{11}+\frac{17651865}{562949953421312}\cdot t^9-\frac{168113}{281474976710656}\cdot t^7+\frac{29667}{4503599627370496}\cdot t^5-\frac{155}{4503599627370496}\cdot t^3+\frac{31}{576460752303423488}\cdot t$

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.