Rule: Q[1, 72]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{73}-\frac{73}{4}\cdot t^{71}+\frac{2555}{16}\cdot t^{69}-\frac{28543}{32}\cdot t^{67}+\frac{914617}{256}\cdot t^{65}-\frac{699413}{64}\cdot t^{63}+\frac{6795789}{256}\cdot t^{61}-\frac{26918385}{512}\cdot t^{59}+\frac{708574719}{8192}\cdot t^{57}-\frac{31413479209}{262144}\cdot t^{55}+\frac{148092116271}{1048576}\cdot t^{53}-\frac{299224246659}{2097152}\cdot t^{51}+\frac{2084759095575}{16777216}\cdot t^{49}-\frac{1571587625895}{16777216}\cdot t^{47}+\frac{4113525965115}{67108864}\cdot t^{45}-\frac{4680908856855}{134217728}\cdot t^{43}+\frac{74155450837545}{4294967296}\cdot t^{41}-\frac{127746785056275}{17179869184}\cdot t^{39}+\frac{191233066114545}{68719476736}\cdot t^{37}-\frac{124133744670845}{137438953472}\cdot t^{35}+\frac{278715388977935}{1099511627776}\cdot t^{33}-\frac{33690871195135}{549755813888}\cdot t^{31}+\frac{27925588423775}{2199023255552}\cdot t^{29}-\frac{9858946869611}{4398046511104}\cdot t^{27}+\frac{23540750688663}{70368744177664}\cdot t^{25}-\frac{23540750688663}{562949953421312}\cdot t^{23}+\frac{9747643083849}{2251799813685248}\cdot t^{21}-\frac{1648152212245}{4503599627370496}\cdot t^{19}+\frac{894711200933}{36028797018963968}\cdot t^{17}-\frac{47680534219}{36028797018963968}\cdot t^{15}+\frac{7761947431}{144115188075855872}\cdot t^{13}-\frac{465001459}{288230376151711744}\cdot t^{11}+\frac{623782445}{18446744073709551616}\cdot t^9-\frac{34024497}{73786976294838206464}\cdot t^7+\frac{1077699}{295147905179352825856}\cdot t^5-\frac{8103}{590295810358705651712}\cdot t^3+\frac{73}{4722366482869645213696}\cdot t$

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.