Rule: Q[1, 16, 34]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{17}-\frac{17}{4}\cdot t^{15}+\frac{119}{16}\cdot t^{13}-\frac{221}{32}\cdot t^{11}+\frac{935}{256}\cdot t^9-\frac{561}{512}\cdot t^7+\frac{357}{2048}\cdot t^5-\frac{51}{4096}\cdot t^3+\frac{17}{65536}\cdot t$
• $P_3$:
  $t^{51}-\frac{51}{4}\cdot t^{49}+\frac{153}{2}\cdot t^{47}-\frac{18377}{64}\cdot t^{45}+\frac{193545}{256}\cdot t^{43}-\frac{1519749}{1024}\cdot t^{41}+\frac{2307767}{1024}\cdot t^{39}-\frac{22208511}{8192}\cdot t^{37}+\frac{171986841}{65536}\cdot t^{35}-\frac{541440055}{262144}\cdot t^{33}+\frac{87158643}{65536}\cdot t^{31}-\frac{736886709}{1048576}\cdot t^{29}+\frac{1278529931}{4194304}\cdot t^{27}-\frac{1816858323}{16777216}\cdot t^{25}+\frac{526117275}{16777216}\cdot t^{23}-\frac{985982745}{134217728}\cdot t^{21}+\frac{2957948235}{2147483648}\cdot t^{19}-\frac{1750204665}{8589934592}\cdot t^{17}+\frac{100180065}{4294967296}\cdot t^{15}-\frac{553626675}{274877906944}\cdot t^{13}+\frac{139299615}{1099511627776}\cdot t^{11}-\frac{24322155}{4398046511104}\cdot t^9+\frac{686205}{4398046511104}\cdot t^7-\frac{89505}{35184372088832}\cdot t^5+\frac{5525}{281474976710656}\cdot t^3-\frac{51}{1125899906842624}\cdot t$

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.