Rule: Q[46, 92]

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.

• $P_1$:
  $35184372088832\cdot t^{46}-404620279021568\cdot t^{44}+2174833999740928\cdot t^{42}-7257876254949376\cdot t^{40}+16848641306132480\cdot t^{38}-28889255702953984\cdot t^{36}+37917148110127104\cdot t^{34}-38958828003262464\cdot t^{32}+31782201792135168\cdot t^{30}-20758645314682880\cdot t^{28}+10898288790208512\cdot t^{26}-4599927086776320\cdot t^{24}+1555857691115520\cdot t^{22}-418884762992640\cdot t^{20}+88826010009600\cdot t^{18}-14613311324160\cdot t^{16}+1826663915520\cdot t^{14}-168586629120\cdot t^{12}+11038410240\cdot t^{10}-484140800\cdot t^8+13034560\cdot t^6-186208\cdot t^4+1058\cdot t^2-1$
• $P_2$:
  $35184372088832\cdot t^{138}-1213860837064704\cdot t^{136}+20483901625466880\cdot t^{134}-225348206647574528\cdot t^{132}+1817500554734075904\cdot t^{130}-11458452745447538688\cdot t^{128}+58796909037245956096\cdot t^{126}-252467643766800384000\cdot t^{124}+925633774695009484800\cdot t^{122}-2942335439717426790400\cdot t^{120}+8206357437336885657600\cdot t^{118}-20275048457386013491200\cdot t^{116}+44720427649062404096000\cdot t^{114}-88629007534649521471488\cdot t^{112}+158674513489453175537664\cdot t^{110}-257792332891401568387072\cdot t^{108}+381537935309046685999104\cdot t^{106}-516105641709976861347840\cdot t^{104}+639875420601536127171072\cdot t^{102}-728880648279193408018176\cdot t^{100}+764398137496188002052960\cdot t^{98}-739353754073948224207920\cdot t^{96}+660551159595847159558800\cdot t^{94}-545797564951502445072120\cdot t^{92}+\frac{835054315382671504046745}{2}\cdot t^{90}-\frac{1183855763931893583613173}{4}\cdot t^{88}+\frac{12449999627283759994701171}{64}\cdot t^{86}-\frac{15183432978886267194071665}{128}\cdot t^{84}+\frac{68739542031685100569524447}{1024}\cdot t^{82}-\frac{72218924102254419168424767}{2048}\cdot t^{80}+\frac{70435740791087643386488353}{4096}\cdot t^{78}-\frac{63768022187409162824728527}{8192}\cdot t^{76}+\frac{1714517577680340698589399075}{524288}\cdot t^{74}-\frac{1336482533135526761007205455}{1048576}\cdot t^{72}+\frac{3864309224767428055581919845}{8388608}\cdot t^{70}-\frac{2588712004941286755681091935}{16777216}\cdot t^{68}+\frac{6423840901150600467801228135}{134217728}\cdot t^{66}-\frac{3687219355891902061395138975}{268435456}\cdot t^{64}+\frac{489041725097241747090302643}{134217728}\cdot t^{62}-\frac{239517716176867170097840533}{268435456}\cdot t^{60}+\frac{865196648230724267496281109}{4294967296}\cdot t^{58}-\frac{359610273956597237659379601}{8589934592}\cdot t^{56}+\frac{2197618340845872007918430895}{274877906944}\cdot t^{54}-\frac{769838885128627379028463797}{549755813888}\cdot t^{52}+\frac{987240195048897393222188583}{4398046511104}\cdot t^{50}-\frac{288977118025065545208406455}{8796093022208}\cdot t^{48}+\frac{77024146770386090499783195}{17592186044416}\cdot t^{46}-\frac{18639231215185785285778725}{35184372088832}\cdot t^{44}+\frac{65306343442836121779061755}{1125899906842624}\cdot t^{42}-\frac{12893547742325590656219255}{2251799813685248}\cdot t^{40}+\frac{9142697490012691556228199}{18014398509481984}\cdot t^{38}-\frac{1448572534478008150558581}{36028797018963968}\cdot t^{36}+\frac{816279692952723734214585}{288230376151711744}\cdot t^{34}-\frac{101649924028075031053137}{576460752303423488}\cdot t^{32}+\frac{5557579620582585472041}{576460752303423488}\cdot t^{30}-\frac{529583162092754584959}{1152921504606846976}\cdot t^{28}+\frac{348749887231813994973}{18446744073709551616}\cdot t^{26}-\frac{24549212334923012425}{36893488147419103232}\cdot t^{24}+\frac{11682038973170261085}{590295810358705651712}\cdot t^{22}-\frac{578963956833797535}{1180591620717411303424}\cdot t^{20}+\frac{94019787861898745}{9444732965739290427392}\cdot t^{18}-\frac{3062599008488505}{18889465931478580854784}\cdot t^{16}+\frac{77994881370675}{37778931862957161709568}\cdot t^{14}-\frac{1502123641213}{75557863725914323419136}\cdot t^{12}+\frac{1339731896217}{9671406556917033397649408}\cdot t^{10}-\frac{12705571197}{19342813113834066795298816}\cdot t^8+\frac{299457907}{154742504910672534362390528}\cdot t^6-\frac{944265}{309485009821345068724781056}\cdot t^4+\frac{4761}{2475880078570760549798248448}\cdot t^2-\frac{1}{4951760157141521099596496896}$

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.