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.

• $P_1$:
  $t$
• $P_2$:
  $t^{85}-\frac{85}{4}\cdot t^{83}+\frac{3485}{16}\cdot t^{81}-\frac{11475}{8}\cdot t^{79}+\frac{436475}{64}\cdot t^{77}-\frac{25542517}{1024}\cdot t^{75}+\frac{299073775}{4096}\cdot t^{73}-\frac{719748975}{4096}\cdot t^{71}+\frac{23228262375}{65536}\cdot t^{69}-\frac{159337729625}{262144}\cdot t^{67}+\frac{939455253869}{1048576}\cdot t^{65}-\frac{150035851355}{131072}\cdot t^{63}+\frac{1337990948385}{1048576}\cdot t^{61}-\frac{10463775365575}{8388608}\cdot t^{59}+\frac{36023178371225}{33554432}\cdot t^{57}-\frac{27377615562131}{33554432}\cdot t^{55}+\frac{589213900141515}{1073741824}\cdot t^{53}-\frac{1404734869195515}{4294967296}\cdot t^{51}+\frac{2970210544318875}{17179869184}\cdot t^{49}-\frac{696365151538875}{8589934592}\cdot t^{47}+\frac{2316217627118535}{68719476736}\cdot t^{45}-\frac{54596558353508325}{4398046511104}\cdot t^{43}+\frac{71140969975783575}{17592186044416}\cdot t^{41}-\frac{20454276079993875}{17592186044416}\cdot t^{39}+\frac{82823052323909625}{281474976710656}\cdot t^{37}-\frac{73546870463631747}{1125899906842624}\cdot t^{35}+\frac{57053960789909895}{4503599627370496}\cdot t^{33}-\frac{2404573060111145}{1125899906842624}\cdot t^{31}+\frac{2802321987347575}{9007199254740992}\cdot t^{29}-\frac{2802321987347575}{72057594037927936}\cdot t^{27}+\frac{1192260627344241}{288230376151711744}\cdot t^{25}-\frac{106833389546975}{288230376151711744}\cdot t^{23}+\frac{509978255761975}{18446744073709551616}\cdot t^{21}-\frac{124819852808875}{73786976294838206464}\cdot t^{19}+\frac{24618448477875}{295147905179352825856}\cdot t^{17}-\frac{478301284713}{147573952589676412928}\cdot t^{15}+\frac{113881258265}{1180591620717411303424}\cdot t^{13}-\frac{40012333985}{18889465931478580854784}\cdot t^{11}+\frac{2464365475}{75557863725914323419136}\cdot t^9-\frac{24726075}{75557863725914323419136}\cdot t^7+\frac{2307767}{1208925819614629174706176}\cdot t^5-\frac{25585}{4835703278458516698824704}\cdot t^3+\frac{85}{19342813113834066795298816}\cdot t$

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.