Rule: Q[2, 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.

• $P_1$:
  $2\cdot t^2-1$
• $P_2$:
  $2\cdot t^{86}-43\cdot t^{84}+\frac{3569}{8}\cdot t^{82}-\frac{47601}{16}\cdot t^{80}+\frac{458595}{32}\cdot t^{78}-\frac{3400397}{64}\cdot t^{76}+\frac{323037715}{2048}\cdot t^{74}-\frac{1577802655}{4096}\cdot t^{72}+\frac{25851689655}{32768}\cdot t^{70}-\frac{90089221525}{65536}\cdot t^{68}+\frac{1080122350705}{524288}\cdot t^{66}-\frac{2808318111833}{1048576}\cdot t^{64}+\frac{1593910279689}{524288}\cdot t^{62}-\frac{3176063581551}{1048576}\cdot t^{60}+\frac{44616131264645}{16777216}\cdot t^{58}-\frac{69249262892449}{33554432}\cdot t^{56}+\frac{761741891816939}{536870912}\cdot t^{54}-\frac{929286144237033}{1073741824}\cdot t^{52}+\frac{4026906625027143}{8589934592}\cdot t^{50}-\frac{3875067255033975}{17179869184}\cdot t^{48}+\frac{3311421108847215}{34359738368}\cdot t^{46}-\frac{2510857763851185}{68719476736}\cdot t^{44}+\frac{107966883845600955}{8796093022208}\cdot t^{42}-\frac{64154235328545495}{17592186044416}\cdot t^{40}+\frac{134516945043724425}{140737488355328}\cdot t^{38}-\frac{62010106469336571}{281474976710656}\cdot t^{36}+\frac{100170171988928307}{2251799813685248}\cdot t^{34}-\frac{35276501246571739}{4503599627370496}\cdot t^{32}+\frac{5387051914501103}{4503599627370496}\cdot t^{30}-\frac{1417645240658185}{9007199254740992}\cdot t^{28}+\frac{2551761433184733}{144115188075855872}\cdot t^{26}-\frac{486406138290345}{288230376151711744}\cdot t^{24}+\frac{1243037908964215}{9223372036854775808}\cdot t^{22}-\frac{164174818165085}{18446744073709551616}\cdot t^{20}+\frac{70572885636575}{147573952589676412928}\cdot t^{18}-\frac{6049104483135}{295147905179352825856}\cdot t^{16}+\frac{403273632209}{590295810358705651712}\cdot t^{14}-\frac{20241533663}{1180591620717411303424}\cdot t^{12}+\frac{11718782647}{37778931862957161709568}\cdot t^{10}-\frac{287695155}{75557863725914323419136}\cdot t^8+\frac{17511879}{604462909807314587353088}\cdot t^6-\frac{142373}{1208925819614629174706176}\cdot t^4+\frac{1849}{9671406556917033397649408}\cdot t^2-\frac{1}{19342813113834066795298816}$

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.