Rule: Q[1, 6, 36]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^7-\frac{7}{4}\cdot t^5+\frac{7}{8}\cdot t^3-\frac{7}{64}\cdot t$
• $P_3$:
  $t^{43}-11\cdot t^{41}+\frac{901}{16}\cdot t^{39}-\frac{1425}{8}\cdot t^{37}+\frac{99789}{256}\cdot t^{35}-\frac{160293}{256}\cdot t^{33}+\frac{391391}{512}\cdot t^{31}-\frac{5797}{8}\cdot t^{29}+\frac{8850655}{16384}\cdot t^{27}-\frac{5224089}{16384}\cdot t^{25}+\frac{156547365}{1048576}\cdot t^{23}-\frac{29004495}{524288}\cdot t^{21}+\frac{270405135}{16777216}\cdot t^{19}-\frac{61256475}{16777216}\cdot t^{17}+\frac{42456735}{67108864}\cdot t^{15}-\frac{1374365}{16777216}\cdot t^{13}+\frac{32947615}{4294967296}\cdot t^{11}-\frac{2129501}{4294967296}\cdot t^9+\frac{1418065}{68719476736}\cdot t^7-\frac{17017}{34359738368}\cdot t^5+\frac{6181}{1099511627776}\cdot t^3-\frac{21}{1099511627776}\cdot t$

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.