Rule: Q[1, 22, 24]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{23}-\frac{23}{4}\cdot t^{21}+\frac{115}{8}\cdot t^{19}-\frac{1311}{64}\cdot t^{17}+\frac{1173}{64}\cdot t^{15}-\frac{2737}{256}\cdot t^{13}+\frac{2093}{512}\cdot t^{11}-\frac{16445}{16384}\cdot t^9+\frac{9867}{65536}\cdot t^7-\frac{3289}{262144}\cdot t^5+\frac{253}{524288}\cdot t^3-\frac{23}{4194304}\cdot t$
• $P_3$:
  $t^{47}-12\cdot t^{45}+\frac{1079}{16}\cdot t^{43}-\frac{3773}{16}\cdot t^{41}+\frac{73595}{128}\cdot t^{39}-\frac{66443}{64}\cdot t^{37}+\frac{5894655}{4096}\cdot t^{35}-\frac{6417687}{4096}\cdot t^{33}+\frac{22272261}{16384}\cdot t^{31}-\frac{1941995}{2048}\cdot t^{29}+\frac{140038129}{262144}\cdot t^{27}-\frac{63775959}{262144}\cdot t^{25}+\frac{187401045}{2097152}\cdot t^{23}-\frac{27603795}{1048576}\cdot t^{21}+\frac{1654676925}{268435456}\cdot t^{19}-\frac{303961905}{268435456}\cdot t^{17}+\frac{688333995}{4294967296}\cdot t^{15}-\frac{18308115}{1073741824}\cdot t^{13}+\frac{90583545}{68719476736}\cdot t^{11}-\frac{4851275}{68719476736}\cdot t^9+\frac{1342165}{549755813888}\cdot t^7-\frac{13409}{274877906944}\cdot t^5+\frac{8119}{17592186044416}\cdot t^3-\frac{23}{17592186044416}\cdot t$

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.