Rule: Q[41]

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.

• $P_1$:
  $1099511627776\cdot t^{41}-11269994184704\cdot t^{39}+53532472377344\cdot t^{37}-156371169312768\cdot t^{35}+314327181557760\cdot t^{33}-461013199618048\cdot t^{31}+510407471005696\cdot t^{29}-435347548798976\cdot t^{27}+289407177326592\cdot t^{25}-150732904857600\cdot t^{23}+61508749885440\cdot t^{21}-19570965872640\cdot t^{19}+4808383856640\cdot t^{17}-898269511680\cdot t^{15}+124759654400\cdot t^{13}-12475965440\cdot t^{11}+857722624\cdot t^9-37840704\cdot t^7+959728\cdot t^5-11480\cdot t^3+41\cdot t$

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.