Rule: Q[5, 80]

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.

• $P_1$:
  $16\cdot t^5-20\cdot t^3+5\cdot t$
• $P_2$:
  $16\cdot t^{85}-340\cdot t^{83}+3485\cdot t^{81}-22950\cdot t^{79}+\frac{436475}{4}\cdot t^{77}-\frac{25542517}{64}\cdot t^{75}+\frac{299073775}{256}\cdot t^{73}-\frac{719748975}{256}\cdot t^{71}+\frac{23228262375}{4096}\cdot t^{69}-\frac{159337729625}{16384}\cdot t^{67}+\frac{939455253869}{65536}\cdot t^{65}-\frac{150035851355}{8192}\cdot t^{63}+\frac{1337990948385}{65536}\cdot t^{61}-\frac{10463775365575}{524288}\cdot t^{59}+\frac{36023178371225}{2097152}\cdot t^{57}-\frac{27377615562131}{2097152}\cdot t^{55}+\frac{589213900141515}{67108864}\cdot t^{53}-\frac{1404734869195515}{268435456}\cdot t^{51}+\frac{2970210544318875}{1073741824}\cdot t^{49}-\frac{696365151538875}{536870912}\cdot t^{47}+\frac{2316217627118535}{4294967296}\cdot t^{45}-\frac{54596558353508325}{274877906944}\cdot t^{43}+\frac{71140969975783575}{1099511627776}\cdot t^{41}-\frac{20454276079993875}{1099511627776}\cdot t^{39}+\frac{82823052323909625}{17592186044416}\cdot t^{37}-\frac{73546870463631747}{70368744177664}\cdot t^{35}+\frac{57053960789909895}{281474976710656}\cdot t^{33}-\frac{2404573060111145}{70368744177664}\cdot t^{31}+\frac{2802321987347575}{562949953421312}\cdot t^{29}-\frac{2802321987347575}{4503599627370496}\cdot t^{27}+\frac{1192260627344241}{18014398509481984}\cdot t^{25}-\frac{106833389546975}{18014398509481984}\cdot t^{23}+\frac{509978255761975}{1152921504606846976}\cdot t^{21}-\frac{124819852808875}{4611686018427387904}\cdot t^{19}+\frac{24618448477875}{18446744073709551616}\cdot t^{17}-\frac{478301284713}{9223372036854775808}\cdot t^{15}+\frac{113881258265}{73786976294838206464}\cdot t^{13}-\frac{40012333985}{1180591620717411303424}\cdot t^{11}+\frac{2464365475}{4722366482869645213696}\cdot t^9-\frac{24726075}{4722366482869645213696}\cdot t^7+\frac{2307767}{75557863725914323419136}\cdot t^5-\frac{25585}{302231454903657293676544}\cdot t^3+\frac{85}{1208925819614629174706176}\cdot t$

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.