Rule: Q[23, 46]

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.

• $P_1$:
  $4194304\cdot t^{23}-24117248\cdot t^{21}+60293120\cdot t^{19}-85917696\cdot t^{17}+76873728\cdot t^{15}-44843008\cdot t^{13}+17145856\cdot t^{11}-4209920\cdot t^9+631488\cdot t^7-52624\cdot t^5+2024\cdot t^3-23\cdot t$
• $P_2$:
  $4194304\cdot t^{69}-72351744\cdot t^{67}+596901888\cdot t^{65}-3135242240\cdot t^{63}+11775246336\cdot t^{61}-33669844992\cdot t^{59}+76202519552\cdot t^{57}-140114310144\cdot t^{55}+213186219840\cdot t^{53}-272009824944\cdot t^{51}+293908921020\cdot t^{49}-270875306520\cdot t^{47}+214046934465\cdot t^{45}-\frac{1164321236925}{8}\cdot t^{43}+\frac{2730862537515}{32}\cdot t^{41}-\frac{1382288444915}{32}\cdot t^{39}+\frac{19325957314755}{1024}\cdot t^{37}-\frac{29120107628115}{4096}\cdot t^{35}+\frac{37748287666075}{16384}\cdot t^{33}-\frac{2622512616801}{4096}\cdot t^{31}+\frac{4977421905357}{32768}\cdot t^{29}-\frac{16038359472817}{524288}\cdot t^{27}+\frac{10888712137251}{2097152}\cdot t^{25}-\frac{1543768261425}{2097152}\cdot t^{23}+\frac{2893136075115}{33554432}\cdot t^{21}-\frac{1104651955953}{134217728}\cdot t^{19}+\frac{337916787957}{536870912}\cdot t^{17}-\frac{10131543907}{268435456}\cdot t^{15}+\frac{3706662405}{2147483648}\cdot t^{13}-\frac{996964371}{17179869184}\cdot t^{11}+\frac{93731693}{68719476736}\cdot t^9-\frac{1432233}{68719476736}\cdot t^7+\frac{812889}{4398046511104}\cdot t^5-\frac{13685}{17592186044416}\cdot t^3+\frac{69}{70368744177664}\cdot t$

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.