Rule: Q[24, 25]

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.

• $P_1$:
  $16777216\cdot t^{24}-96468992\cdot t^{22}+242221056\cdot t^{20}-348651520\cdot t^{18}+317521920\cdot t^{16}-190513152\cdot t^{14}+76038144\cdot t^{12}-19914752\cdot t^{10}+3294720\cdot t^8-320320\cdot t^6+16016\cdot t^4-312\cdot t^2+1$
• $P_2$:
  $16777216\cdot t^{49}-201326592\cdot t^{47}+1133510656\cdot t^{45}-3979345920\cdot t^{43}+9764536320\cdot t^{41}-17793155072\cdot t^{39}+24971075584\cdot t^{37}-27625807872\cdot t^{35}+24460350720\cdot t^{33}-17500088320\cdot t^{31}+10171926336\cdot t^{29}-4813289152\cdot t^{27}+1852482996\cdot t^{25}-577697400\cdot t^{23}+\frac{289994925}{2}\cdot t^{21}-\frac{57998985}{2}\cdot t^{19}+\frac{583401555}{128}\cdot t^{17}-\frac{17678835}{32}\cdot t^{15}+\frac{206253075}{4096}\cdot t^{13}-\frac{13656825}{4096}\cdot t^{11}+\frac{10015005}{65536}\cdot t^9-\frac{148005}{32768}\cdot t^7+\frac{40365}{524288}\cdot t^5-\frac{325}{524288}\cdot t^3+\frac{25}{16777216}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Chebyshev U (second kind) type can be downloaded here packed into a single file.