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.

• $P_1$:
  $t$
• $P_2$:
  $t^{57}-\frac{57}{4}\cdot t^{55}+\frac{1539}{16}\cdot t^{53}-\frac{13091}{32}\cdot t^{51}+\frac{314925}{256}\cdot t^{49}-\frac{712215}{256}\cdot t^{47}+\frac{5032055}{1024}\cdot t^{45}-\frac{14233527}{2048}\cdot t^{43}+\frac{262303569}{32768}\cdot t^{41}-\frac{1991564135}{262144}\cdot t^{39}+\frac{6279783081}{1048576}\cdot t^{37}-\frac{8265485241}{2097152}\cdot t^{35}+\frac{36429360877}{16777216}\cdot t^{33}-\frac{8406775587}{8388608}\cdot t^{31}+\frac{12987211455}{33554432}\cdot t^{29}-\frac{8369536271}{67108864}\cdot t^{27}+\frac{71651395881}{2147483648}\cdot t^{25}-\frac{63221819895}{8589934592}\cdot t^{23}+\frac{45570143685}{34359738368}\cdot t^{21}-\frac{13254473925}{68719476736}\cdot t^{19}+\frac{12251432655}{549755813888}\cdot t^{17}-\frac{1101980715}{549755813888}\cdot t^{15}+\frac{300540195}{2199023255552}\cdot t^{13}-\frac{29977155}{4398046511104}\cdot t^{11}+\frac{16653975}{70368744177664}\cdot t^9-\frac{5995431}{1125899906842624}\cdot t^7+\frac{312417}{4503599627370496}\cdot t^5-\frac{3857}{9007199254740992}\cdot t^3+\frac{57}{72057594037927936}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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