Rule: Q[1, 82]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{83}-\frac{83}{4}\cdot t^{81}+\frac{415}{2}\cdot t^{79}-\frac{85241}{64}\cdot t^{77}+\frac{1578577}{256}\cdot t^{75}-\frac{22464365}{1024}\cdot t^{73}+\frac{63892155}{1024}\cdot t^{71}-\frac{1193774475}{8192}\cdot t^{69}+\frac{18670632789}{65536}\cdot t^{67}-\frac{123966273563}{262144}\cdot t^{65}+\frac{22076185703}{32768}\cdot t^{63}-\frac{435502936141}{524288}\cdot t^{61}+\frac{1870822472155}{2097152}\cdot t^{59}-\frac{7035114834851}{8388608}\cdot t^{57}+\frac{5811616602703}{8388608}\cdot t^{55}-\frac{33844120215741}{67108864}\cdot t^{53}+\frac{348038788487247}{1073741824}\cdot t^{51}-\frac{790997246561925}{4294967296}\cdot t^{49}+\frac{198763410674535}{2147483648}\cdot t^{47}-\frac{11308591944166965}{274877906944}\cdot t^{45}+\frac{17770644483690945}{1099511627776}\cdot t^{43}-\frac{24649603638668085}{4398046511104}\cdot t^{41}+\frac{7530802900040175}{4398046511104}\cdot t^{39}-\frac{16174854924434115}{35184372088832}\cdot t^{37}+\frac{30430659264613335}{281474976710656}\cdot t^{35}-\frac{24974127258544737}{1125899906842624}\cdot t^{33}+\frac{1112208096534381}{281474976710656}\cdot t^{31}-\frac{2736384999409985}{4503599627370496}\cdot t^{29}+\frac{1442821181507083}{18014398509481984}\cdot t^{27}-\frac{646781908951451}{72057594037927936}\cdot t^{25}+\frac{61017161221835}{72057594037927936}\cdot t^{23}-\frac{38306059030085}{576460752303423488}\cdot t^{21}+\frac{78865415650175}{18446744073709551616}\cdot t^{19}-\frac{16346649789309}{73786976294838206464}\cdot t^{17}+\frac{333605097741}{36893488147419103232}\cdot t^{15}-\frac{333605097741}{1180591620717411303424}\cdot t^{13}+\frac{30757916813}{4722366482869645213696}\cdot t^{11}-\frac{1987879465}{18889465931478580854784}\cdot t^9+\frac{20925047}{18889465931478580854784}\cdot t^7-\frac{1024303}{151115727451828646838272}\cdot t^5+\frac{23821}{1208925819614629174706176}\cdot t^3-\frac{83}{4835703278458516698824704}\cdot t$

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.