Rule: Q[1, 84]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{85}-42\cdot t^{83}+\frac{3403}{8}\cdot t^{81}-\frac{5535}{2}\cdot t^{79}+\frac{415935}{32}\cdot t^{77}-\frac{1502501}{32}\cdot t^{75}+\frac{277962685}{2048}\cdot t^{73}-\frac{330237765}{1024}\cdot t^{71}+\frac{21042072975}{32768}\cdot t^{69}-\frac{35616668975}{32768}\cdot t^{67}+\frac{828931106355}{524288}\cdot t^{65}-\frac{65309723531}{32768}\cdot t^{63}+\frac{1149098108613}{524288}\cdot t^{61}-\frac{1107929156355}{524288}\cdot t^{59}+\frac{30089948992435}{16777216}\cdot t^{57}-\frac{11273135819701}{8388608}\cdot t^{55}+\frac{478303048350171}{536870912}\cdot t^{53}-\frac{280946973839103}{536870912}\cdot t^{51}+\frac{2341224781992525}{8589934592}\cdot t^{49}-\frac{270353529420975}{2147483648}\cdot t^{47}+\frac{1771225244267115}{34359738368}\cdot t^{45}-\frac{642312451217745}{34359738368}\cdot t^{43}+\frac{52728013040874885}{8796093022208}\cdot t^{41}-\frac{7459794805644825}{4398046511104}\cdot t^{39}+\frac{59437719903041025}{140737488355328}\cdot t^{37}-\frac{12978859493582073}{140737488355328}\cdot t^{35}+\frac{39602161018878633}{2251799813685248}\cdot t^{33}-\frac{820383749920273}{281474976710656}\cdot t^{31}+\frac{1879204156221315}{4503599627370496}\cdot t^{29}-\frac{230779457781565}{4503599627370496}\cdot t^{27}+\frac{771462758869803}{144115188075855872}\cdot t^{25}-\frac{33935311973745}{72057594037927936}\cdot t^{23}+\frac{317986441828055}{9223372036854775808}\cdot t^{21}-\frac{19090095135475}{9223372036854775808}\cdot t^{19}+\frac{14771069086725}{147573952589676412928}\cdot t^{17}-\frac{140676848445}{36893488147419103232}\cdot t^{15}+\frac{65649195941}{590295810358705651712}\cdot t^{13}-\frac{1412200023}{590295810358705651712}\cdot t^{11}+\frac{1362649145}{37778931862957161709568}\cdot t^9-\frac{6690585}{18889465931478580854784}\cdot t^7+\frac{1221759}{604462909807314587353088}\cdot t^5-\frac{3311}{604462909807314587353088}\cdot t^3+\frac{43}{9671406556917033397649408}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Chebyshev U (second kind) type can be downloaded here packed into a single file.