Rule: Q[5, 36]

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.

• $P_1$:
  $16\cdot t^5-20\cdot t^3+5\cdot t$
• $P_2$:
  $16\cdot t^{41}-168\cdot t^{39}+818\cdot t^{37}-2451\cdot t^{35}+\frac{10115}{2}\cdot t^{33}-\frac{30481}{4}\cdot t^{31}+\frac{138787}{16}\cdot t^{29}-\frac{243629}{32}\cdot t^{27}+\frac{21352149}{4096}\cdot t^{25}-\frac{22931025}{8192}\cdot t^{23}+\frac{38629305}{32768}\cdot t^{21}-\frac{25398555}{65536}\cdot t^{19}+\frac{25820145}{262144}\cdot t^{17}-\frac{9992005}{524288}\cdot t^{15}+\frac{5757475}{2097152}\cdot t^{13}-\frac{1196069}{4194304}\cdot t^{11}+\frac{5475173}{268435456}\cdot t^9-\frac{503481}{536870912}\cdot t^7+\frac{53333}{2147483648}\cdot t^5-\frac{1335}{4294967296}\cdot t^3+\frac{5}{4294967296}\cdot t$

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.