Rule: Q[1, 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^{89}-\frac{89}{4}\cdot t^{87}+\frac{3827}{16}\cdot t^{85}-\frac{52955}{32}\cdot t^{83}+\frac{2120069}{256}\cdot t^{81}-\frac{8177409}{256}\cdot t^{79}+\frac{101183121}{1024}\cdot t^{77}-\frac{515787129}{2048}\cdot t^{75}+\frac{17670484975}{32768}\cdot t^{73}-\frac{257989080635}{262144}\cdot t^{71}+\frac{1623045228805}{1048576}\cdot t^{69}-\frac{4437836954285}{2097152}\cdot t^{67}+\frac{42476439419585}{16777216}\cdot t^{65}-\frac{11178010373575}{4194304}\cdot t^{63}+\frac{41582198589699}{16777216}\cdot t^{61}-\frac{68554435512747}{33554432}\cdot t^{59}+\frac{1606803276196029}{1073741824}\cdot t^{57}-\frac{4190290896746507}{4294967296}\cdot t^{55}+\frac{9737999971312305}{17179869184}\cdot t^{53}-\frac{10089446586818313}{34359738368}\cdot t^{51}+\frac{37287085212154635}{274877906944}\cdot t^{49}-\frac{15353505675593085}{274877906944}\cdot t^{47}+\frac{22519863819967605}{1099511627776}\cdot t^{45}-\frac{14686867708674525}{2199023255552}\cdot t^{43}+\frac{68011495081708185}{35184372088832}\cdot t^{41}-\frac{557694259670007117}{1125899906842624}\cdot t^{39}+\frac{504580520653815963}{4503599627370496}\cdot t^{37}-\frac{200747088862270867}{9007199254740992}\cdot t^{35}+\frac{279729550053983995}{72057594037927936}\cdot t^{33}-\frac{21220862417888441}{36028797018963968}\cdot t^{31}+\frac{11149944660246469}{144115188075855872}\cdot t^{29}-\frac{2517729439410493}{288230376151711744}\cdot t^{27}+\frac{15503912863738299}{18446744073709551616}\cdot t^{25}-\frac{5033737942772175}{73786976294838206464}\cdot t^{23}+\frac{1362070266867765}{295147905179352825856}\cdot t^{21}-\frac{151341140763085}{590295810358705651712}\cdot t^{19}+\frac{54254371216955}{4722366482869645213696}\cdot t^{17}-\frac{1917514159435}{4722366482869645213696}\cdot t^{15}+\frac{207780172075}{18889465931478580854784}\cdot t^{13}-\frac{8311206883}{37778931862957161709568}\cdot t^{11}+\frac{1865781137}{604462909807314587353088}\cdot t^9-\frac{136520571}{4835703278458516698824704}\cdot t^7+\frac{2904693}{19342813113834066795298816}\cdot t^5-\frac{14685}{38685626227668133590597632}\cdot t^3+\frac{89}{309485009821345068724781056}\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.