Rule: Q[2, 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.

• $P_1$:
  $2\cdot t^2-1$
• $P_2$:
  $2\cdot t^{62}-31\cdot t^{60}+\frac{1829}{8}\cdot t^{58}-\frac{17081}{16}\cdot t^{56}+\frac{226765}{64}\cdot t^{54}-\frac{1138599}{128}\cdot t^{52}+\frac{35947197}{2048}\cdot t^{50}-\frac{114377445}{4096}\cdot t^{48}+\frac{597304435}{16384}\cdot t^{46}-\frac{1296037925}{32768}\cdot t^{44}+\frac{9431168285}{262144}\cdot t^{42}-\frac{14474573785}{524288}\cdot t^{40}+\frac{37633891841}{2097152}\cdot t^{38}-\frac{41533164779}{4194304}\cdot t^{36}+\frac{622997471685}{134217728}\cdot t^{34}-\frac{495746924277}{268435456}\cdot t^{32}+\frac{668180637069}{1073741824}\cdot t^{30}-\frac{379945852451}{2147483648}\cdot t^{28}+\frac{725351172861}{17179869184}\cdot t^{26}-\frac{288542388225}{34359738368}\cdot t^{24}+\frac{189613569405}{137438953472}\cdot t^{22}-\frac{50871933255}{274877906944}\cdot t^{20}+\frac{87869702895}{4398046511104}\cdot t^{18}-\frac{14987808855}{8796093022208}\cdot t^{16}+\frac{3944160225}{35184372088832}\cdot t^{14}-\frac{388020087}{70368744177664}\cdot t^{12}+\frac{109441563}{562949953421312}\cdot t^{10}-\frac{5211503}{1125899906842624}\cdot t^8+\frac{306559}{4503599627370496}\cdot t^6-\frac{4805}{9007199254740992}\cdot t^4+\frac{961}{576460752303423488}\cdot t^2-\frac{1}{1152921504606846976}$

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.