Rule: Q[45]

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.

• $P_1$:
  $17592186044416\cdot t^{45}-197912092999680\cdot t^{43}+1039038488248320\cdot t^{41}-3380998255411200\cdot t^{39}+7638169839206400\cdot t^{37}-12717552782278656\cdot t^{35}+16168683558666240\cdot t^{33}-16047114509352960\cdot t^{31}+12604574741299200\cdot t^{29}-7897310717542400\cdot t^{27}+3959937231224832\cdot t^{25}-1588210119475200\cdot t^{23}+507344899276800\cdot t^{21}-128055803904000\cdot t^{19}+25227583488000\cdot t^{17}-3812168171520\cdot t^{15}+431333683200\cdot t^{13}-35340364800\cdot t^{11}+1999712000\cdot t^9-72864000\cdot t^7+1530144\cdot t^5-15180\cdot t^3+45\cdot t$

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.