Rule: Q[1, 2, 94]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^3-\frac{3}{4}\cdot t$
• $P_3$:
  $t^{97}-\frac{49}{2}\cdot t^{95}+\frac{2327}{8}\cdot t^{93}-\frac{35673}{16}\cdot t^{91}+\frac{1587495}{128}\cdot t^{89}-\frac{13659987}{256}\cdot t^{87}+\frac{189226015}{1024}\cdot t^{85}-\frac{1084095661}{2048}\cdot t^{83}+\frac{41913454457}{32768}\cdot t^{81}-\frac{173397670065}{65536}\cdot t^{79}+\frac{1242147110139}{262144}\cdot t^{77}-\frac{3886353105453}{524288}\cdot t^{75}+\frac{42786936888345}{4194304}\cdot t^{73}-\frac{104188931770005}{8388608}\cdot t^{71}+\frac{450964689968925}{33554432}\cdot t^{69}-\frac{870563993088335}{67108864}\cdot t^{67}+\frac{12027514042842265}{1073741824}\cdot t^{65}-\frac{18623855223295465}{2147483648}\cdot t^{63}+\frac{51801351402172295}{8589934592}\cdot t^{61}-\frac{64781978114598425}{17179869184}\cdot t^{59}+\frac{291626475643681355}{137438953472}\cdot t^{57}-\frac{295451085160319799}{274877906944}\cdot t^{55}+\frac{538882312503118059}{1099511627776}\cdot t^{53}-\frac{442179619213186881}{2199023255552}\cdot t^{51}+\frac{2609524661195888475}{35184372088832}\cdot t^{49}-\frac{1728528720992220147}{70368744177664}\cdot t^{47}+\frac{2052896771738402121}{281474976710656}\cdot t^{45}-\frac{1090675709979525439}{562949953421312}\cdot t^{43}+\frac{2068628998024908319}{4503599627370496}\cdot t^{41}-\frac{872830290167596915}{9007199254740992}\cdot t^{39}+\frac{653159054437969443}{36028797018963968}\cdot t^{37}-\frac{215836176517939425}{72057594037927936}\cdot t^{35}+\frac{8024672374733464611}{18446744073709551616}\cdot t^{33}-\frac{2037571285131696979}{36893488147419103232}\cdot t^{31}+\frac{898734061140464885}{147573952589676412928}\cdot t^{29}-\frac{170869828261660283}{295147905179352825856}\cdot t^{27}+\frac{111041353445091069}{2361183241434822606848}\cdot t^{25}-\frac{15256617295479105}{4722366482869645213696}\cdot t^{23}+\frac{3501895202770965}{18889465931478580854784}\cdot t^{21}-\frac{330741676378575}{37778931862957161709568}\cdot t^{19}+\frac{201944917746495}{604462909807314587353088}\cdot t^{17}-\frac{12176744551335}{1208925819614629174706176}\cdot t^{15}+\frac{1127232040445}{4835703278458516698824704}\cdot t^{13}-\frac{38571760955}{9671406556917033397649408}\cdot t^{11}+\frac{3708019175}{77371252455336267181195264}\cdot t^9-\frac{58152395}{154742504910672534362390528}\cdot t^7+\frac{1061683}{618970019642690137449562112}\cdot t^5-\frac{4609}{1237940039285380274899124224}\cdot t^3+\frac{3}{1237940039285380274899124224}\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.