Rule: Q[1, 78]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{79}-\frac{79}{4}\cdot t^{77}+\frac{1501}{8}\cdot t^{75}-\frac{73075}{64}\cdot t^{73}+\frac{640137}{128}\cdot t^{71}-\frac{8598597}{512}\cdot t^{69}+\frac{46055499}{1024}\cdot t^{67}-\frac{1616328703}{16384}\cdot t^{65}+\frac{1479737545}{8192}\cdot t^{63}-\frac{9174372779}{32768}\cdot t^{61}+\frac{24332032153}{65536}\cdot t^{59}-\frac{222631588309}{524288}\cdot t^{57}+\frac{441940317091}{1048576}\cdot t^{55}-\frac{1529793405315}{4194304}\cdot t^{53}+\frac{2316544299477}{8388608}\cdot t^{51}-\frac{196906265455545}{1073741824}\cdot t^{49}+\frac{459447952729605}{4294967296}\cdot t^{47}-\frac{942434984631315}{17179869184}\cdot t^{45}+\frac{849736461552825}{34359738368}\cdot t^{43}-\frac{2692322893972635}{274877906944}\cdot t^{41}+\frac{1870936248353865}{549755813888}\cdot t^{39}-\frac{2276459376075885}{2199023255552}\cdot t^{37}+\frac{1209028663848915}{4398046511104}\cdot t^{35}-\frac{4468149409876425}{70368744177664}\cdot t^{33}+\frac{893629881975285}{70368744177664}\cdot t^{31}-\frac{615611696471863}{281474976710656}\cdot t^{29}+\frac{181377611587501}{562949953421312}\cdot t^{27}-\frac{181377611587501}{4503599627370496}\cdot t^{25}+\frac{38104540249475}{9007199254740992}\cdot t^{23}-\frac{13297170597403}{36028797018963968}\cdot t^{21}+\frac{1899595799629}{72057594037927936}\cdot t^{19}-\frac{3492805179963}{2305843009213693952}\cdot t^{17}+\frac{1263355065093}{18446744073709551616}\cdot t^{15}-\frac{174772439835}{73786976294838206464}\cdot t^{13}+\frac{8909967521}{147573952589676412928}\cdot t^{11}-\frac{1272852503}{1180591620717411303424}\cdot t^9+\frac{29601221}{2361183241434822606848}\cdot t^7-\frac{800033}{9444732965739290427392}\cdot t^5+\frac{5135}{18889465931478580854784}\cdot t^3-\frac{79}{302231454903657293676544}\cdot t$

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.