Rule: Q[11, 34]

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.

• $P_1$:
  $1024\cdot t^{11}-2816\cdot t^9+2816\cdot t^7-1232\cdot t^5+220\cdot t^3-11\cdot t$
• $P_2$:
  $1024\cdot t^{45}-11776\cdot t^{43}+63232\cdot t^{41}-210560\cdot t^{39}+487084\cdot t^{37}-830946\cdot t^{35}+1083138\cdot t^{33}-1102926\cdot t^{31}+\frac{14231635}{16}\cdot t^{29}-\frac{18324317}{32}\cdot t^{27}+\frac{18897879}{64}\cdot t^{25}-\frac{15602145}{128}\cdot t^{23}+\frac{657218445}{16384}\cdot t^{21}-\frac{342120975}{32768}\cdot t^{19}+\frac{34787385}{16384}\cdot t^{17}-\frac{21729825}{65536}\cdot t^{15}+\frac{162806535}{4194304}\cdot t^{13}-\frac{27638065}{8388608}\cdot t^{11}+\frac{3244725}{16777216}\cdot t^9-\frac{245663}{33554432}\cdot t^7+\frac{171787}{1073741824}\cdot t^5-\frac{3553}{2147483648}\cdot t^3+\frac{11}{2147483648}\cdot t$

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.