Rule: Q[1, 54]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{55}-\frac{55}{4}\cdot t^{53}+\frac{715}{8}\cdot t^{51}-\frac{23375}{64}\cdot t^{49}+\frac{67375}{64}\cdot t^{47}-\frac{582659}{256}\cdot t^{45}+\frac{1962015}{512}\cdot t^{43}-\frac{84366645}{16384}\cdot t^{41}+\frac{367982175}{65536}\cdot t^{39}-\frac{1317269525}{262144}\cdot t^{37}+\frac{1949558897}{524288}\cdot t^{35}-\frac{9586673915}{4194304}\cdot t^{33}+\frac{2452404955}{2097152}\cdot t^{31}-\frac{4177173275}{8388608}\cdot t^{29}+\frac{2954585975}{16777216}\cdot t^{27}-\frac{13827462363}{268435456}\cdot t^{25}+\frac{26591273775}{2147483648}\cdot t^{23}-\frac{20828459025}{8589934592}\cdot t^{21}+\frac{6567532125}{17179869184}\cdot t^{19}-\frac{6567532125}{137438953472}\cdot t^{17}+\frac{637988835}{137438953472}\cdot t^{15}-\frac{187643775}{549755813888}\cdot t^{13}+\frac{20160075}{1099511627776}\cdot t^{11}-\frac{48208875}{70368744177664}\cdot t^9+\frac{4665375}{281474976710656}\cdot t^7-\frac{261261}{1125899906842624}\cdot t^5+\frac{3465}{2251799813685248}\cdot t^3-\frac{55}{18014398509481984}\cdot t$

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.