Rule: Q[1, 60]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{61}-\frac{61}{4}\cdot t^{59}+\frac{1769}{16}\cdot t^{57}-\frac{8113}{16}\cdot t^{55}+\frac{211365}{128}\cdot t^{53}-\frac{4160871}{1024}\cdot t^{51}+\frac{32152185}{4096}\cdot t^{49}-\frac{25007255}{2048}\cdot t^{47}+\frac{510053635}{32768}\cdot t^{45}-\frac{2157919225}{131072}\cdot t^{43}+\frac{7641572785}{524288}\cdot t^{41}-\frac{5696445167}{524288}\cdot t^{39}+\frac{28714733801}{4194304}\cdot t^{37}-\frac{245179650147}{67108864}\cdot t^{35}+\frac{443410005585}{268435456}\cdot t^{33}-\frac{42413130969}{67108864}\cdot t^{31}+\frac{438269020013}{2147483648}\cdot t^{29}-\frac{475767973597}{8589934592}\cdot t^{27}+\frac{431510487681}{34359738368}\cdot t^{25}-\frac{81110993925}{34359738368}\cdot t^{23}+\frac{100102836405}{274877906944}\cdot t^{21}-\frac{100102836405}{2199023255552}\cdot t^{19}+\frac{39901130595}{8796093022208}\cdot t^{17}-\frac{1552217895}{4398046511104}\cdot t^{15}+\frac{1468314225}{70368744177664}\cdot t^{13}-\frac{254507799}{281474976710656}\cdot t^{11}+\frac{30764679}{1125899906842624}\cdot t^9-\frac{603229}{1125899906842624}\cdot t^7+\frac{54839}{9007199254740992}\cdot t^5-\frac{9455}{288230376151711744}\cdot t^3+\frac{61}{1152921504606846976}\cdot t$

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.