Rule: Q[1, 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.

• $P_1$:
  $t$
• $P_2$:
  $t^{47}-\frac{47}{4}\cdot t^{45}+\frac{517}{8}\cdot t^{43}-\frac{14147}{64}\cdot t^{41}+\frac{67445}{128}\cdot t^{39}-\frac{475969}{512}\cdot t^{37}+\frac{1288599}{1024}\cdot t^{35}-\frac{21906183}{16384}\cdot t^{33}+\frac{18536001}{16384}\cdot t^{31}-\frac{50404915}{65536}\cdot t^{29}+\frac{55309177}{131072}\cdot t^{27}-\frac{196096173}{1048576}\cdot t^{25}+\frac{140068695}{2097152}\cdot t^{23}-\frac{160350135}{8388608}\cdot t^{21}+\frac{72886425}{16777216}\cdot t^{19}-\frac{830905245}{1073741824}\cdot t^{17}+\frac{455657715}{4294967296}\cdot t^{15}-\frac{187623765}{17179869184}\cdot t^{13}+\frac{28035735}{34359738368}\cdot t^{11}-\frac{11593725}{274877906944}\cdot t^9+\frac{772915}{549755813888}\cdot t^7-\frac{59455}{2199023255552}\cdot t^5+\frac{1081}{4398046511104}\cdot t^3-\frac{47}{70368744177664}\cdot t$

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.