Rule: Q[23, 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.

• $P_1$:
  $4194304\cdot t^{23}-24117248\cdot t^{21}+60293120\cdot t^{19}-85917696\cdot t^{17}+76873728\cdot t^{15}-44843008\cdot t^{13}+17145856\cdot t^{11}-4209920\cdot t^9+631488\cdot t^7-52624\cdot t^5+2024\cdot t^3-23\cdot t$
• $P_2$:
  $4194304\cdot t^{47}-50331648\cdot t^{45}+282853376\cdot t^{43}-989069312\cdot t^{41}+2411560960\cdot t^{39}-4354408448\cdot t^{37}+6036126720\cdot t^{35}-6571711488\cdot t^{33}+5701698816\cdot t^{31}-3977205760\cdot t^{29}+2240610064\cdot t^{27}-1020415344\cdot t^{25}+374802090\cdot t^{23}-110415180\cdot t^{21}+\frac{1654676925}{64}\cdot t^{19}-\frac{303961905}{64}\cdot t^{17}+\frac{688333995}{1024}\cdot t^{15}-\frac{18308115}{256}\cdot t^{13}+\frac{90583545}{16384}\cdot t^{11}-\frac{4851275}{16384}\cdot t^9+\frac{1342165}{131072}\cdot t^7-\frac{13409}{65536}\cdot t^5+\frac{8119}{4194304}\cdot t^3-\frac{23}{4194304}\cdot t$

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.