Rule: Q[29, 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.

• $P_1$:
  $536870912\cdot t^{29}-3758096384\cdot t^{27}+11777605632\cdot t^{25}-21810380800\cdot t^{23}+26528972800\cdot t^{21}-22284337152\cdot t^{19}+13231325184\cdot t^{17}-5588385792\cdot t^{15}+1666990080\cdot t^{13}-343982080\cdot t^{11}+47297536\cdot t^9-4073472\cdot t^7+198016\cdot t^5-4480\cdot t^3+30\cdot t$
• $P_2$:
  $536870912\cdot t^{89}-11811160064\cdot t^{87}+125527130112\cdot t^{85}-858490142720\cdot t^{83}+4246281912320\cdot t^{81}-16185827524608\cdot t^{79}+49472752582656\cdot t^{77}-124575967346688\cdot t^{75}+263489565081600\cdot t^{73}-474931808665600\cdot t^{71}+737628465333760\cdot t^{69}-995671104529920\cdot t^{67}+1175976929548960\cdot t^{65}-1221794212518400\cdot t^{63}+1121317714778400\cdot t^{61}-912005074686432\cdot t^{59}+\frac{1317939765868653}{2}\cdot t^{57}-423737281693467\cdot t^{55}+\frac{7768516831046895}{32}\cdot t^{53}-\frac{3967759893692595}{32}\cdot t^{51}+\frac{28907964939760335}{512}\cdot t^{49}-\frac{2932692095338005}{128}\cdot t^{47}+\frac{16953155909413815}{2048}\cdot t^{45}-\frac{5445692521193925}{2048}\cdot t^{43}+\frac{49671316632708225}{65536}\cdot t^{41}-\frac{6266227636741653}{32768}\cdot t^{39}+\frac{357174975294274221}{8388608}\cdot t^{37}-\frac{69923143311577493}{8388608}\cdot t^{35}+\frac{191724747789809255}{134217728}\cdot t^{33}-\frac{3576549845711535}{16777216}\cdot t^{31}+\frac{7391536347803839}{268435456}\cdot t^{29}-\frac{820383749920273}{268435456}\cdot t^{27}+\frac{9929472283517787}{34359738368}\cdot t^{25}-\frac{395911973027025}{17179869184}\cdot t^{23}+\frac{841728816603675}{549755813888}\cdot t^{21}-\frac{45912480905655}{549755813888}\cdot t^{19}+\frac{32308782859535}{8796093022208}\cdot t^{17}-\frac{280086337895}{2199023255552}\cdot t^{15}+\frac{119065042425}{35184372088832}\cdot t^{13}-\frac{2334608675}{35184372088832}\cdot t^{11}+\frac{1027227817}{1125899906842624}\cdot t^9-\frac{4601817}{562949953421312}\cdot t^7+\frac{1533939}{36028797018963968}\cdot t^5-\frac{3795}{36028797018963968}\cdot t^3+\frac{45}{576460752303423488}\cdot t$

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.