Rule: Q[2, 92]

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^{94}-47\cdot t^{92}+\frac{4277}{8}\cdot t^{90}-\frac{62745}{16}\cdot t^{88}+\frac{1334377}{64}\cdot t^{86}-\frac{10959883}{128}\cdot t^{84}+\frac{578881093}{2048}\cdot t^{82}-\frac{3156755517}{4096}\cdot t^{80}+\frac{28998103005}{16384}\cdot t^{78}-\frac{113831769051}{32768}\cdot t^{76}+\frac{1544859722835}{262144}\cdot t^{74}-\frac{4570280516295}{524288}\cdot t^{72}+\frac{23743164633435}{2097152}\cdot t^{70}-\frac{54453696666425}{4194304}\cdot t^{68}+\frac{1772078871515945}{134217728}\cdot t^{66}-\frac{3207687071225065}{268435456}\cdot t^{64}+\frac{5181648345825105}{536870912}\cdot t^{62}-\frac{7485482828078895}{1073741824}\cdot t^{60}+\frac{38740656741811825}{8589934592}\cdot t^{58}-\frac{44939161820501717}{17179869184}\cdot t^{56}+\frac{93522039464287357}{68719476736}\cdot t^{54}-\frac{87299438012651799}{137438953472}\cdot t^{52}+\frac{584641690933213563}{2199023255552}\cdot t^{50}-\frac{438570772439183475}{4398046511104}\cdot t^{48}+\frac{588937894418332095}{17592186044416}\cdot t^{46}-\frac{353362736650999257}{35184372088832}\cdot t^{44}+\frac{756292192017749541}{281474976710656}\cdot t^{42}-\frac{359959965355048289}{562949953421312}\cdot t^{40}+\frac{303862308416599205}{2251799813685248}\cdot t^{38}-\frac{113323715022211799}{4503599627370496}\cdot t^{36}+\frac{2379798015466447779}{576460752303423488}\cdot t^{34}-\frac{683597893843664723}{1152921504606846976}\cdot t^{32}+\frac{683597893843664723}{9223372036854775808}\cdot t^{30}-\frac{147722346657721885}{18446744073709551616}\cdot t^{28}+\frac{109488327522782103}{147573952589676412928}\cdot t^{26}-\frac{17231819101648515}{295147905179352825856}\cdot t^{24}+\frac{4555538383194435}{1180591620717411303424}\cdot t^{22}-\frac{498970775968665}{2361183241434822606848}\cdot t^{20}+\frac{356407697120475}{37778931862957161709568}\cdot t^{18}-\frac{25422087486915}{75557863725914323419136}\cdot t^{16}+\frac{2824676387435}{302231454903657293676544}\cdot t^{14}-\frac{118290635645}{604462909807314587353088}\cdot t^{12}+\frac{14298868045}{4835703278458516698824704}\cdot t^{10}-\frac{293410425}{9671406556917033397649408}\cdot t^8+\frac{7468629}{38685626227668133590597632}\cdot t^6-\frac{50807}{77371252455336267181195264}\cdot t^4+\frac{2209}{2475880078570760549798248448}\cdot t^2-\frac{1}{4951760157141521099596496896}$

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.