Rule: Q[1, 10, 66]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{11}-\frac{11}{4}\cdot t^9+\frac{11}{4}\cdot t^7-\frac{77}{64}\cdot t^5+\frac{55}{256}\cdot t^3-\frac{11}{1024}\cdot t$
• $P_3$:
  $t^{77}-\frac{77}{4}\cdot t^{75}+\frac{2849}{16}\cdot t^{73}-\frac{16863}{16}\cdot t^{71}+\frac{574035}{128}\cdot t^{69}-\frac{14963179}{1024}\cdot t^{67}+\frac{155322013}{4096}\cdot t^{65}-\frac{41207881}{512}\cdot t^{63}+\frac{1166362197}{8192}\cdot t^{61}-\frac{6975303335}{32768}\cdot t^{59}+\frac{35626101511}{131072}\cdot t^{57}-\frac{39159268603}{131072}\cdot t^{55}+\frac{298212891669}{1048576}\cdot t^{53}-\frac{15805283258457}{67108864}\cdot t^{51}+\frac{45695546835675}{268435456}\cdot t^{49}-\frac{14445688999665}{134217728}\cdot t^{47}+\frac{255996554239965}{4294967296}\cdot t^{45}-\frac{496934487642285}{17179869184}\cdot t^{43}+\frac{845069382939705}{68719476736}\cdot t^{41}-\frac{314408754088275}{68719476736}\cdot t^{39}+\frac{817462760629515}{549755813888}\cdot t^{37}-\frac{1851803396528085}{4398046511104}\cdot t^{35}+\frac{1821195075924315}{17592186044416}\cdot t^{33}-\frac{96778482295495}{4398046511104}\cdot t^{31}+\frac{283031410486825}{70368744177664}\cdot t^{29}-\frac{176785773319463}{281474976710656}\cdot t^{27}+\frac{93592468227951}{1125899906842624}\cdot t^{25}-\frac{10399163136439}{1125899906842624}\cdot t^{23}+\frac{7670519747869}{9007199254740992}\cdot t^{21}-\frac{9257523833635}{144115188075855872}\cdot t^{19}+\frac{2245441951137}{576460752303423488}\cdot t^{17}-\frac{53537886633}{288230376151711744}\cdot t^{15}+\frac{124921735477}{18446744073709551616}\cdot t^{13}-\frac{13421343481}{73786976294838206464}\cdot t^{11}+\frac{1009813805}{295147905179352825856}\cdot t^9-\frac{12365067}{295147905179352825856}\cdot t^7+\frac{703703}{2361183241434822606848}\cdot t^5-\frac{19019}{18889465931478580854784}\cdot t^3+\frac{77}{75557863725914323419136}\cdot t$

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.