Rule: Q[1, 2, 96]

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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^3-1\cdot t$
• $P_3$:
  $2\cdot t^{99}-49\cdot t^{97}+582\cdot t^{95}-4465\cdot t^{93}+\frac{3183545}{128}\cdot t^{91}-\frac{27445509}{256}\cdot t^{89}+\frac{190561371}{512}\cdot t^{87}-\frac{1095069261}{1024}\cdot t^{85}+\frac{84986896995}{32768}\cdot t^{83}-\frac{353126264315}{65536}\cdot t^{81}+\frac{635627275767}{65536}\cdot t^{79}-\frac{2000375522613}{131072}\cdot t^{77}+\frac{88683314835843}{4194304}\cdot t^{75}-\frac{217591687594575}{8388608}\cdot t^{73}+\frac{474942653653275}{16777216}\cdot t^{71}-\frac{925672544571285}{33554432}\cdot t^{69}+\frac{51705423561053205}{2147483648}\cdot t^{67}-\frac{81021042872777205}{4294967296}\cdot t^{65}+\frac{14271999422033925}{1073741824}\cdot t^{63}-\frac{18111250728545975}{2147483648}\cdot t^{61}+\frac{662871776664782685}{137438953472}\cdot t^{59}-\frac{683648951099121865}{274877906944}\cdot t^{57}+\frac{635841332141141315}{549755813888}\cdot t^{55}-\frac{533158880987913525}{1099511627776}\cdot t^{53}+\frac{6444674894748638925}{35184372088832}\cdot t^{51}-\frac{4382378928429074469}{70368744177664}\cdot t^{49}+\frac{1339313310767305503}{70368744177664}\cdot t^{47}-\frac{734549816813524733}{140737488355328}\cdot t^{45}+\frac{5771462846391980045}{4503599627370496}\cdot t^{43}-\frac{2531146649000465265}{9007199254740992}\cdot t^{41}+\frac{988352501038276913}{18014398509481984}\cdot t^{39}-\frac{342388594328828047}{36028797018963968}\cdot t^{37}+\frac{6706788347735278803}{4611686018427387904}\cdot t^{35}-\frac{1804857108504066435}{9223372036854775808}\cdot t^{33}+\frac{106168065206121555}{4611686018427387904}\cdot t^{31}-\frac{21700285855317153}{9223372036854775808}\cdot t^{29}+\frac{489462003181042451}{2361183241434822606848}\cdot t^{27}-\frac{73702772679770871}{4722366482869645213696}\cdot t^{25}+\frac{9384903142585425}{9444732965739290427392}\cdot t^{23}-\frac{998058215667975}{18889465931478580854784}\cdot t^{21}+\frac{1397281501935165}{604462909807314587353088}\cdot t^{19}-\frac{98774343460485}{1208925819614629174706176}\cdot t^{17}+\frac{2757247682805}{1208925819614629174706176}\cdot t^{15}-\frac{118119545775}{2417851639229258349412352}\cdot t^{13}+\frac{59826782925}{77371252455336267181195264}\cdot t^{11}-\frac{1329484065}{154742504910672534362390528}\cdot t^9+\frac{19267885}{309485009821345068724781056}\cdot t^7-\frac{162435}{618970019642690137449562112}\cdot t^5+\frac{20825}{39614081257132168796771975168}\cdot t^3-\frac{25}{79228162514264337593543950336}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Chebyshev U (second kind) type can be downloaded here packed into a single file.