Rule: Q[1, 52]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{53}-\frac{53}{4}\cdot t^{51}+\frac{1325}{16}\cdot t^{49}-\frac{2597}{8}\cdot t^{47}+\frac{57293}{64}\cdot t^{45}-\frac{1890669}{1024}\cdot t^{43}+\frac{12108327}{4096}\cdot t^{41}-\frac{15417435}{4096}\cdot t^{39}+\frac{253873763}{65536}\cdot t^{37}-\frac{853939021}{262144}\cdot t^{35}+\frac{2363226593}{1048576}\cdot t^{33}-\frac{337603799}{262144}\cdot t^{31}+\frac{1276307045}{2097152}\cdot t^{29}-\frac{3986005079}{16777216}\cdot t^{27}+\frac{5124863673}{67108864}\cdot t^{25}-\frac{1348648335}{67108864}\cdot t^{23}+\frac{9221838615}{2147483648}\cdot t^{21}-\frac{6328712775}{8589934592}\cdot t^{19}+\frac{3435586935}{34359738368}\cdot t^{17}-\frac{180820365}{17179869184}\cdot t^{15}+\frac{115067505}{137438953472}\cdot t^{13}-\frac{213696795}{4398046511104}\cdot t^{11}+\frac{34467225}{17592186044416}\cdot t^9-\frac{899145}{17592186044416}\cdot t^7+\frac{217035}{281474976710656}\cdot t^5-\frac{6201}{1125899906842624}\cdot t^3+\frac{53}{4503599627370496}\cdot t$

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.