Rule: Q[1, 10, 88]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{11}-\frac{11}{4}\cdot t^9+\frac{11}{4}\cdot t^7-\frac{77}{64}\cdot t^5+\frac{55}{256}\cdot t^3-\frac{11}{1024}\cdot t$
• $P_3$:
  $t^{99}-\frac{99}{4}\cdot t^{97}+297\cdot t^{95}-\frac{147345}{64}\cdot t^{93}+\frac{3317589}{256}\cdot t^{91}-\frac{57810753}{1024}\cdot t^{89}+\frac{202855653}{1024}\cdot t^{87}-\frac{4713558993}{8192}\cdot t^{85}+\frac{92458272555}{65536}\cdot t^{83}-\frac{776877781493}{262144}\cdot t^{81}+\frac{707046070797}{131072}\cdot t^{79}-\frac{18003379703517}{2097152}\cdot t^{77}+\frac{100915496192511}{8388608}\cdot t^{75}-\frac{500966908647975}{33554432}\cdot t^{73}+\frac{553168502490285}{33554432}\cdot t^{71}-\frac{4363884852978915}{268435456}\cdot t^{69}+\frac{61672734127039365}{4294967296}\cdot t^{67}-\frac{195636176692803495}{17179869184}\cdot t^{65}+\frac{17443554849152575}{2147483648}\cdot t^{63}-\frac{358602764425210305}{68719476736}\cdot t^{61}+\frac{830687416326752985}{274877906944}\cdot t^{59}-\frac{1735416568174693965}{1099511627776}\cdot t^{57}+\frac{817510284181467405}{1099511627776}\cdot t^{55}-\frac{2778038379884391525}{8796093022208}\cdot t^{53}+\frac{8506970861068203381}{70368744177664}\cdot t^{51}-\frac{11725824700391307363}{281474976710656}\cdot t^{49}+\frac{1816329010492647189}{140737488355328}\cdot t^{47}-\frac{8080047984948772063}{2251799813685248}\cdot t^{45}+\frac{8047532701307127105}{9007199254740992}\cdot t^{43}-\frac{7159529092887030321}{36028797018963968}\cdot t^{41}+\frac{1418070979750571223}{36028797018963968}\cdot t^{39}-\frac{1993910049326704509}{288230376151711744}\cdot t^{37}+\frac{9910030543668546291}{9223372036854775808}\cdot t^{35}-\frac{5414571325512199305}{36893488147419103232}\cdot t^{33}+\frac{161702130083169753}{9223372036854775808}\cdot t^{31}-\frac{2148328299676398147}{1180591620717411303424}\cdot t^{29}+\frac{769154576427352423}{4722366482869645213696}\cdot t^{27}-\frac{235373370816042459}{18889465931478580854784}\cdot t^{25}+\frac{15231236247802575}{18889465931478580854784}\cdot t^{23}-\frac{6587184223408635}{151115727451828646838272}\cdot t^{21}+\frac{2344590994772565}{1208925819614629174706176}\cdot t^{19}-\frac{337195172503035}{4835703278458516698824704}\cdot t^{17}+\frac{4788903870135}{2417851639229258349412352}\cdot t^{15}-\frac{1670547861675}{38685626227668133590597632}\cdot t^{13}+\frac{107688209265}{154742504910672534362390528}\cdot t^{11}-\frac{4874774905}{618970019642690137449562112}\cdot t^9+\frac{35990955}{618970019642690137449562112}\cdot t^7-\frac{1237005}{4951760157141521099596496896}\cdot t^5+\frac{40425}{79228162514264337593543950336}\cdot t^3-\frac{99}{316912650057057350374175801344}\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.