Rule: Q[3, 60]

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.

• $P_1$:
  $4\cdot t^3-3\cdot t$
• $P_2$:
  $4\cdot t^{63}-63\cdot t^{61}+\frac{945}{2}\cdot t^{59}-\frac{35931}{16}\cdot t^{57}+\frac{242991}{32}\cdot t^{55}-\frac{2488563}{128}\cdot t^{53}+\frac{10027017}{256}\cdot t^{51}-\frac{260907075}{4096}\cdot t^{49}+\frac{697333455}{8192}\cdot t^{47}-\frac{3102129485}{32768}\cdot t^{45}+\frac{5794543755}{65536}\cdot t^{43}-\frac{36590720355}{524288}\cdot t^{41}+\frac{49026782175}{1048576}\cdot t^{39}-\frac{111781063359}{4194304}\cdot t^{37}+\frac{108522140229}{8388608}\cdot t^{35}-\frac{1434903854139}{268435456}\cdot t^{33}+\frac{1007485684821}{536870912}\cdot t^{31}-\frac{1198160724915}{2147483648}\cdot t^{29}+\frac{600559573229}{4294967296}\cdot t^{27}-\frac{1008595264131}{34359738368}\cdot t^{25}+\frac{351835557255}{68719476736}\cdot t^{23}-\frac{201846702915}{274877906944}\cdot t^{21}+\frac{46993134825}{549755813888}\cdot t^{19}-\frac{69876748305}{8796093022208}\cdot t^{17}+\frac{10153031805}{17592186044416}\cdot t^{15}-\frac{2244354399}{70368744177664}\cdot t^{13}+\frac{181974681}{140737488355328}\cdot t^{11}-\frac{41187685}{1125899906842624}\cdot t^9+\frac{1513017}{2251799813685248}\cdot t^7-\frac{64449}{9007199254740992}\cdot t^5+\frac{651}{18014398509481984}\cdot t^3-\frac{63}{1152921504606846976}\cdot t$

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.