Rule: Q[31, 94]

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.

• $P_1$:
  $1073741824\cdot t^{31}-8321499136\cdot t^{29}+29125246976\cdot t^{27}-60850962432\cdot t^{25}+84515225600\cdot t^{23}-82239815680\cdot t^{21}+57567870976\cdot t^{19}-29297934336\cdot t^{17}+10827497472\cdot t^{15}-2870927360\cdot t^{13}+533172224\cdot t^{11}-66646528\cdot t^9+5261568\cdot t^7-236096\cdot t^5+4960\cdot t^3-31\cdot t$
• $P_2$:
  $1073741824\cdot t^{125}-33822867456\cdot t^{123}+519959478272\cdot t^{121}-5198923694080\cdot t^{119}+38017637023744\cdot t^{117}-216768385646592\cdot t^{115}+1003342729838592\cdot t^{113}-3875661119750144\cdot t^{111}+12746689307770880\cdot t^{109}-36240252346417152\cdot t^{107}+90128035838877696\cdot t^{105}-197922565160226816\cdot t^{103}+386738426679114432\cdot t^{101}-676637789388794400\cdot t^{99}+1065566776976987040\cdot t^{97}-1517014553536329120\cdot t^{95}+\frac{3919325399610664715}{2}\cdot t^{93}-\frac{9216440965453422085}{4}\cdot t^{91}+\frac{19778011110752414975}{8}\cdot t^{89}-\frac{38817380755402514265}{16}\cdot t^{87}+\frac{1116900291004325273215}{512}\cdot t^{85}-\frac{1843189187705589251605}{1024}\cdot t^{83}+\frac{698703349858613857205}{512}\cdot t^{81}-\frac{1948778234100431686575}{2048}\cdot t^{79}+\frac{40022724663775730454669}{65536}\cdot t^{77}-\frac{47309630267414248985979}{131072}\cdot t^{75}+\frac{51517750891099752286983}{262144}\cdot t^{73}-\frac{51688095087447038364117}{524288}\cdot t^{71}+\frac{3057816305066456056323915}{67108864}\cdot t^{69}-\frac{2603523798460517479542849}{134217728}\cdot t^{67}+\frac{1020504533413493640741207}{134217728}\cdot t^{65}-\frac{184042184782410101681391}{67108864}\cdot t^{63}+\frac{7812778738911331707783261}{8589934592}\cdot t^{61}-\frac{4760417122678958194082115}{17179869184}\cdot t^{59}+\frac{2661443864505447597617637}{34359738368}\cdot t^{57}-\frac{1363439456475198895964427}{68719476736}\cdot t^{55}+\frac{10224470480151993794688519}{2199023255552}\cdot t^{53}-\frac{4376357210508764929595901}{4398046511104}\cdot t^{51}+\frac{213400092114123041681775}{1099511627776}\cdot t^{49}-\frac{302776430800428591074145}{8796093022208}\cdot t^{47}+\frac{1558375598415670931812545}{281474976710656}\cdot t^{45}-\frac{453303479203119515785815}{562949953421312}\cdot t^{43}+\frac{118838543451745303074735}{1125899906842624}\cdot t^{41}-\frac{27974436759170715230725}{2251799813685248}\cdot t^{39}+\frac{188421527256958400146105}{144115188075855872}\cdot t^{37}-\frac{35294642082644781482555}{288230376151711744}\cdot t^{35}+\frac{2926085074659307811355}{288230376151711744}\cdot t^{33}-\frac{213425307787221241285}{288230376151711744}\cdot t^{31}+\frac{870437583065595052025}{18446744073709551616}\cdot t^{29}-\frac{96150142814337044119}{36893488147419103232}\cdot t^{27}+\frac{9120085878082127949}{73786976294838206464}\cdot t^{25}-\frac{734802695515287243}{147573952589676412928}\cdot t^{23}+\frac{794362971420086937}{4722366482869645213696}\cdot t^{21}-\frac{44324888101236435}{9444732965739290427392}\cdot t^{19}+\frac{501228248924689}{4722366482869645213696}\cdot t^{17}-\frac{35919991773333}{18889465931478580854784}\cdot t^{15}+\frac{15844995797731}{604462909807314587353088}\cdot t^{13}-\frac{323579219509}{1208925819614629174706176}\cdot t^{11}+\frac{4648522385}{2417851639229258349412352}\cdot t^9-\frac{43631043}{4835703278458516698824704}\cdot t^7+\frac{30537759}{1237940039285380274899124224}\cdot t^5-\frac{79453}{2475880078570760549798248448}\cdot t^3+\frac{31}{2475880078570760549798248448}\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.