Rule: Q[1, 96]

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^{97}-\frac{97}{4}\cdot t^{95}+\frac{4559}{16}\cdot t^{93}-\frac{69161}{32}\cdot t^{91}+\frac{3045315}{256}\cdot t^{89}-\frac{25924899}{512}\cdot t^{87}+\frac{355256583}{2048}\cdot t^{85}-\frac{2013120637}{4096}\cdot t^{83}+\frac{76973590199}{65536}\cdot t^{81}-\frac{314891959905}{131072}\cdot t^{79}+\frac{2230303743603}{524288}\cdot t^{77}-\frac{6898381346493}{1048576}\cdot t^{75}+\frac{75070620535365}{8388608}\cdot t^{73}-\frac{180664460409285}{16777216}\cdot t^{71}+\frac{772721487292725}{67108864}\cdot t^{69}-\frac{1473824885519295}{134217728}\cdot t^{67}+\frac{40229960763989645}{4294967296}\cdot t^{65}-\frac{30764087643050905}{4294967296}\cdot t^{63}+\frac{84503886310658815}{17179869184}\cdot t^{61}-\frac{104346904148789225}{34359738368}\cdot t^{59}+\frac{463733903892411335}{274877906944}\cdot t^{57}-\frac{463733903892411335}{549755813888}\cdot t^{55}+\frac{834721027006340403}{2199023255552}\cdot t^{53}-\frac{675819961935803217}{4398046511104}\cdot t^{51}+\frac{3934568271544059825}{70368744177664}\cdot t^{49}-\frac{2570584604075452419}{140737488355328}\cdot t^{47}+\frac{3010619671728671793}{562949953421312}\cdot t^{45}-\frac{1576991256619780463}{1125899906842624}\cdot t^{43}+\frac{2948288001506546083}{9007199254740992}\cdot t^{41}-\frac{1225961542208604355}{18014398509481984}\cdot t^{39}+\frac{903917913210523211}{72057594037927936}\cdot t^{37}-\frac{294237209285536881}{144115188075855872}\cdot t^{35}+\frac{2693402146536837603}{9223372036854775808}\cdot t^{33}-\frac{2693402146536837603}{73786976294838206464}\cdot t^{31}+\frac{1169404293314313245}{295147905179352825856}\cdot t^{29}-\frac{218791771007194091}{590295810358705651712}\cdot t^{27}+\frac{139883263430829009}{4722366482869645213696}\cdot t^{25}-\frac{18903143706868785}{9444732965739290427392}\cdot t^{23}+\frac{4266275965957005}{37778931862957161709568}\cdot t^{21}-\frac{396073365539775}{75557863725914323419136}\cdot t^{19}+\frac{237644019323865}{1208925819614629174706176}\cdot t^{17}-\frac{14076475012215}{2417851639229258349412352}\cdot t^{15}+\frac{1279679546565}{9671406556917033397649408}\cdot t^{13}-\frac{42986651435}{19342813113834066795298816}\cdot t^{11}+\frac{4055344475}{154742504910672534362390528}\cdot t^9-\frac{62389915}{309485009821345068724781056}\cdot t^7+\frac{1116955}{1237940039285380274899124224}\cdot t^5-\frac{4753}{2475880078570760549798248448}\cdot t^3+\frac{97}{79228162514264337593543950336}\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.