Rule: Q[48]

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.

• $P_1$:
  $281474976710656\cdot t^{48}-3307330976350208\cdot t^{46}+18207912555970560\cdot t^{44}-62408279992565760\cdot t^{42}+149259802982219776\cdot t^{40}-264596923468480512\cdot t^{38}+360487668989034496\cdot t^{36}-386236788202536960\cdot t^{34}+330303106984181760\cdot t^{32}-227542140366880768\cdot t^{30}+126898501358452736\cdot t^{28}-57377552049635328\cdot t^{26}+20999667135283200\cdot t^{24}-6192209539891200\cdot t^{22}+1459592248688640\cdot t^{20}-271884830638080\cdot t^{18}+39392404439040\cdot t^{16}-4344750489600\cdot t^{14}+354276249600\cdot t^{12}-20510730240\cdot t^{10}+795674880\cdot t^8-18944640\cdot t^6+239200\cdot t^4-1200\cdot t^2+1$

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.