Rule: Q[2, 3, 88]

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.

• $P_1$:
  $2\cdot t^2-1$
• $P_2$:
  $2\cdot t^5-3\cdot t^3+1\cdot t$
• $P_3$:
  $2\cdot t^{93}-47\cdot t^{91}+\frac{1069}{2}\cdot t^{89}-\frac{15675}{4}\cdot t^{87}+\frac{2664839}{128}\cdot t^{85}-\frac{21864941}{256}\cdot t^{83}+\frac{36041173}{128}\cdot t^{81}-\frac{392423751}{512}\cdot t^{79}+\frac{28780345035}{16384}\cdot t^{77}-\frac{112706248941}{32768}\cdot t^{75}+\frac{381325094865}{65536}\cdot t^{73}-\frac{1124452918355}{131072}\cdot t^{71}+\frac{93120354909855}{8388608}\cdot t^{69}-\frac{212667130449725}{16777216}\cdot t^{67}+\frac{215245777283515}{16777216}\cdot t^{65}-\frac{96884462945795}{8388608}\cdot t^{63}+\frac{4978183437901605}{536870912}\cdot t^{61}-\frac{7143480925071483}{1073741824}\cdot t^{59}+\frac{9173894448693565}{2147483648}\cdot t^{57}-\frac{10553784109546643}{4294967296}\cdot t^{55}+\frac{174096550876829889}{137438953472}\cdot t^{53}-\frac{160864322547136923}{274877906944}\cdot t^{51}+\frac{16643979813801405}{68719476736}\cdot t^{49}-\frac{49322548876139175}{549755813888}\cdot t^{47}+\frac{522599458251060645}{17592186044416}\cdot t^{45}-\frac{308807070568503507}{35184372088832}\cdot t^{43}+\frac{162463414094057979}{70368744177664}\cdot t^{41}-\frac{75890979156093353}{140737488355328}\cdot t^{39}+\frac{4015856203705464125}{36028797018963968}\cdot t^{37}-\frac{1463563723797501319}{72057594037927936}\cdot t^{35}+\frac{234036416267560263}{72057594037927936}\cdot t^{33}-\frac{32665821924165353}{72057594037927936}\cdot t^{31}+\frac{506201021496372587}{9223372036854775808}\cdot t^{29}-\frac{105531182376107845}{18446744073709551616}\cdot t^{27}+\frac{18779269327651287}{36893488147419103232}\cdot t^{25}-\frac{2823284876560785}{73786976294838206464}\cdot t^{23}+\frac{5667640698464745}{2361183241434822606848}\cdot t^{21}-\frac{584729223786435}{4722366482869645213696}\cdot t^{19}+\frac{12178986426425}{2361183241434822606848}\cdot t^{17}-\frac{1602275285205}{9444732965739290427392}\cdot t^{15}+\frac{1293840127685}{302231454903657293676544}\cdot t^{13}-\frac{48252375395}{604462909807314587353088}\cdot t^{11}+\frac{1263454423}{1208925819614629174706176}\cdot t^9-\frac{21582165}{2417851639229258349412352}\cdot t^7+\frac{6865431}{154742504910672534362390528}\cdot t^5-\frac{32453}{309485009821345068724781056}\cdot t^3+\frac{23}{309485009821345068724781056}\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.