Rule: Q[29, 30]

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.

• $P_1$:
  $268435456\cdot t^{29}-1946157056\cdot t^{27}+6325010432\cdot t^{25}-12163481600\cdot t^{23}+15386804224\cdot t^{21}-13463453696\cdot t^{19}+8341487616\cdot t^{17}-3683254272\cdot t^{15}+1151016960\cdot t^{13}-249387008\cdot t^{11}+36095488\cdot t^9-3281408\cdot t^7+168896\cdot t^5-4060\cdot t^3+29\cdot t$
• $P_2$:
  $268435456\cdot t^{59}-4026531840\cdot t^{57}+28672262144\cdot t^{55}-128949682176\cdot t^{53}+411084783616\cdot t^{51}-988351037440\cdot t^{49}+1861569740800\cdot t^{47}-2816773980160\cdot t^{45}+3483712167936\cdot t^{43}-3564563357696\cdot t^{41}+3042942287616\cdot t^{39}-2179395212800\cdot t^{37}+1313970472464\cdot t^{35}-667822453648\cdot t^{33}+286041066088\cdot t^{31}-103047067264\cdot t^{29}+\frac{248883578585}{8}\cdot t^{27}-\frac{62630270703}{8}\cdot t^{25}+\frac{208644329595}{128}\cdot t^{23}-\frac{17798864985}{64}\cdot t^{21}+\frac{78643211955}{2048}\cdot t^{19}-\frac{8648672175}{2048}\cdot t^{17}+\frac{2968493505}{8192}\cdot t^{15}-\frac{48370695}{2048}\cdot t^{13}+\frac{295739535}{262144}\cdot t^{11}-\frac{9852141}{262144}\cdot t^9+\frac{13633335}{16777216}\cdot t^7-\frac{85463}{8388608}\cdot t^5+\frac{16269}{268435456}\cdot t^3-\frac{29}{268435456}\cdot t$

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.