Rule: Q[11]

Type

This rule is of Chebyshev T (first kind) type.

Polynomials

One starts from the polynomial $P_{1}$ and extends one by one with $P_{i}$ 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.

$P_{1}$ :
$1024 \cdot t^{11} - 2816 \cdot t^{9} + 2816 \cdot t^{7} - 1232 \cdot t^{5} + 220 \cdot t^{3} - 11 \cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Node (ball center)	Error (ball radius)
0.98982144188093273238 - 7.1050655769679294875e-128j	2.56e-61, 2.56e-61j
-0.54064081745559758211 + 1.1226699578930676575e-132j	4.2e-62, 4.2e-62j
-0.98982144188093273238 - 6.88716584742986718e-144j	2.34e-61, 2.34e-61j
6.4141730288321777992e-153 - 5.3140677709801473046e-154j	7.08e-152, 7.08e-152j
0.75574957435425828377 + 1.2980911096992852503e-159j	2.13e-61, 2.13e-61j
0.54064081745559758211 - 1.1128886637493759907e-166j	3.87e-62, 3.87e-62j
-0.28173255684142969771 - 3.8503960464543142535e-169j	3.72e-63, 3.72e-63j
-0.90963199535451837141 + 1.971047623326695017e-173j	4.2e-61, 4.2e-61j
-0.75574957435425828377 - 3.1328958246337493531e-180j	2.13e-61, 2.13e-61j
0.28173255684142969771 - 1.0296288486157341812e-184j	3.72e-63, 3.72e-63j
0.90963199535451837141 + 7.5843196438212562452e-186j	3.7e-61, 3.7e-61j

Weights

Weight (ball center)	Error (ball radius)
0.090909090909090909091 + 1.5783447463371450094e-127j	4.91e-21, 2.15e-51j
0.090909090909090909091 - 2.4947602737587217553e-128j	2.12e-21, 9.26e-52j
0.090909090909090909091 + 3.2628241543813796066e-129j	7.12e-22, 3.11e-52j
0.090909090909090909091 - 4.5852839916533721394e-128j	1.21e-21, 5.28e-52j
0.090909090909090909091 + 1.2697690660999897606e-127j	2.56e-22, 1.12e-52j
0.090909090909090909091 - 8.5002290037079116913e-128j	2.83e-22, 1.24e-52j
0.090909090909090909091 + 3.4247313651347105736e-128j	2.63e-22, 1.15e-52j
0.090909090909090909091 - 9.92623913636345422e-129j	2.29e-23, 1e-53j
0.090909090909090909091 + 1.7027311083951416125e-128j	3.76e-23, 1.64e-53j
0.090909090909090909091 + 6.1500442957761935239e-128j	1.04e-23, 4.62e-54j
0.090909090909090909091 - 2.3512030126359180363e-127j	3.07e-24, 1.29e-54j

Download

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