Rule: Q[1, 70]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{71}-\frac{71}{4}\cdot t^{69}+\frac{1207}{8}\cdot t^{67}-\frac{52327}{64}\cdot t^{65}+\frac{50765}{16}\cdot t^{63}-\frac{600873}{64}\cdot t^{61}+\frac{2819481}{128}\cdot t^{59}-\frac{689161713}{16384}\cdot t^{57}+\frac{4364690849}{65536}\cdot t^{55}-\frac{23231419035}{262144}\cdot t^{53}+\frac{52480156443}{524288}\cdot t^{51}-\frac{405528481605}{4194304}\cdot t^{49}+\frac{336794840655}{4194304}\cdot t^{47}-\frac{965716771215}{16777216}\cdot t^{45}+\frac{1198069678575}{33554432}\cdot t^{43}-\frac{10303399235745}{536870912}\cdot t^{41}+\frac{38403578969595}{4294967296}\cdot t^{39}-\frac{61997934676405}{17179869184}\cdot t^{37}+\frac{43281577038245}{34359738368}\cdot t^{35}-\frac{104261288816825}{274877906944}\cdot t^{33}+\frac{13492637376295}{137438953472}\cdot t^{31}-\frac{11950621676147}{549755813888}\cdot t^{29}+\frac{4500883488419}{1099511627776}\cdot t^{27}-\frac{22895798615001}{35184372088832}\cdot t^{25}+\frac{12178616284575}{140737488355328}\cdot t^{23}-\frac{5358591165213}{562949953421312}\cdot t^{21}+\frac{961798414269}{1125899906842624}\cdot t^{19}-\frac{553762723367}{9007199254740992}\cdot t^{17}+\frac{31275635539}{9007199254740992}\cdot t^{15}-\frac{5392350955}{36028797018963968}\cdot t^{13}+\frac{341953963}{72057594037927936}\cdot t^{11}-\frac{121338503}{1152921504606846976}\cdot t^9+\frac{28001193}{18446744073709551616}\cdot t^7-\frac{937839}{73786976294838206464}\cdot t^5+\frac{7455}{147573952589676412928}\cdot t^3-\frac{71}{1180591620717411303424}\cdot t$

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.