Rule: Q[1, 66]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{67}-\frac{67}{4}\cdot t^{65}+134\cdot t^{63}-\frac{43617}{64}\cdot t^{61}+\frac{633485}{256}\cdot t^{59}-\frac{6992857}{1024}\cdot t^{57}+\frac{15246721}{1024}\cdot t^{55}-\frac{215632197}{8192}\cdot t^{53}+\frac{2518145487}{65536}\cdot t^{51}-\frac{12301285425}{262144}\cdot t^{49}+\frac{6344873535}{131072}\cdot t^{47}-\frac{89075432355}{2097152}\cdot t^{45}+\frac{267226297065}{8388608}\cdot t^{43}-\frac{687479618945}{33554432}\cdot t^{41}+\frac{379874182975}{33554432}\cdot t^{39}-\frac{1443521895305}{268435456}\cdot t^{37}+\frac{9425348845815}{4294967296}\cdot t^{35}-\frac{13195488384141}{17179869184}\cdot t^{33}+\frac{987417498133}{4294967296}\cdot t^{31}-\frac{8055248011085}{137438953472}\cdot t^{29}+\frac{6958363175533}{549755813888}\cdot t^{27}-\frac{5056698705201}{2199023255552}\cdot t^{25}+\frac{766166470485}{2199023255552}\cdot t^{23}-\frac{766166470485}{17592186044416}\cdot t^{21}+\frac{623623871325}{140737488355328}\cdot t^{19}-\frac{203123203803}{562949953421312}\cdot t^{17}+\frac{6478601247}{281474976710656}\cdot t^{15}-\frac{5038912081}{4503599627370496}\cdot t^{13}+\frac{719844583}{18014398509481984}\cdot t^{11}-\frac{71853815}{72057594037927936}\cdot t^9+\frac{1165197}{72057594037927936}\cdot t^7-\frac{87703}{576460752303423488}\cdot t^5+\frac{12529}{18446744073709551616}\cdot t^3-\frac{67}{73786976294838206464}\cdot t$

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.