Rule: Q[1, 100]

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^{101}-\frac{101}{4}\cdot t^{99}+\frac{4949}{16}\cdot t^{97}-\frac{9797}{4}\cdot t^{95}+\frac{450965}{32}\cdot t^{93}-\frac{64307609}{1024}\cdot t^{91}+\frac{923998803}{4096}\cdot t^{89}-\frac{2749528353}{4096}\cdot t^{87}+\frac{110601995361}{65536}\cdot t^{85}-\frac{953741844055}{262144}\cdot t^{83}+\frac{7133150539163}{1048576}\cdot t^{81}-\frac{5836214077497}{524288}\cdot t^{79}+\frac{67345975927971}{4194304}\cdot t^{77}-\frac{689001138340011}{33554432}\cdot t^{75}+\frac{3139537206721725}{134217728}\cdot t^{73}-\frac{3197947201265385}{134217728}\cdot t^{71}+\frac{93492927001699785}{4294967296}\cdot t^{69}-\frac{307191045862727865}{17179869184}\cdot t^{67}+\frac{909236147794499745}{68719476736}\cdot t^{65}-\frac{75866944296075075}{8589934592}\cdot t^{63}+\frac{365847264716628695}{68719476736}\cdot t^{61}-\frac{3188097592530621485}{1099511627776}\cdot t^{59}+\frac{6277140369182846215}{4398046511104}\cdot t^{57}-\frac{2792172806358924905}{4398046511104}\cdot t^{55}+\frac{17949682326593088675}{70368744177664}\cdot t^{53}-\frac{26036486574784501257}{281474976710656}\cdot t^{51}+\frac{34047713213179732413}{1125899906842624}\cdot t^{49}-\frac{5010023866203624289}{562949953421312}\cdot t^{47}+\frac{10598504499737999719}{4503599627370496}\cdot t^{45}-\frac{20100611982261723605}{36028797018963968}\cdot t^{43}+\frac{17043054103269799451}{144115188075855872}\cdot t^{41}-\frac{3220116213060192523}{144115188075855872}\cdot t^{39}+\frac{34581248027211632747}{9223372036854775808}\cdot t^{37}-\frac{20526837064280701791}{36893488147419103232}\cdot t^{35}+\frac{10722974585818277055}{147573952589676412928}\cdot t^{33}-\frac{306370702451950773}{36893488147419103232}\cdot t^{31}+\frac{243525430154114717}{295147905179352825856}\cdot t^{29}-\frac{1336098981656359123}{18889465931478580854784}\cdot t^{27}+\frac{391788423192466209}{75557863725914323419136}\cdot t^{25}-\frac{24304492753875075}{75557863725914323419136}\cdot t^{23}+\frac{20160775956493095}{1208925819614629174706176}\cdot t^{21}-\frac{3442083699889065}{4835703278458516698824704}\cdot t^{19}+\frac{475057556643285}{19342813113834066795298816}\cdot t^{17}-\frac{6476325952635}{9671406556917033397649408}\cdot t^{15}+\frac{1084552193025}{77371252455336267181195264}\cdot t^{13}-\frac{134277890565}{618970019642690137449562112}\cdot t^{11}+\frac{5838169155}{2475880078570760549798248448}\cdot t^9-\frac{41405455}{2475880078570760549798248448}\cdot t^7+\frac{5468645}{79228162514264337593543950336}\cdot t^5-\frac{42925}{316912650057057350374175801344}\cdot t^3+\frac{101}{1267650600228229401496703205376}\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.