Rule: Q[2, 80]

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.

• $P_1$:
  $2\cdot t^2-1$
• $P_2$:
  $2\cdot t^{82}-41\cdot t^{80}+\frac{3239}{8}\cdot t^{78}-\frac{41041}{16}\cdot t^{76}+\frac{1499575}{128}\cdot t^{74}-\frac{10520395}{256}\cdot t^{72}+\frac{117939165}{1024}\cdot t^{70}-\frac{542520159}{2048}\cdot t^{68}+\frac{16700823273}{32768}\cdot t^{66}-\frac{54525518905}{65536}\cdot t^{64}+\frac{76335726467}{65536}\cdot t^{62}-\frac{184828244237}{131072}\cdot t^{60}+\frac{1557838058569}{1048576}\cdot t^{58}-\frac{2870798562781}{2097152}\cdot t^{56}+\frac{9287877703115}{8388608}\cdot t^{54}-\frac{13224828848913}{16777216}\cdot t^{52}+\frac{265698834146343}{536870912}\cdot t^{50}-\frac{294553006180335}{1073741824}\cdot t^{48}+\frac{4614663763491915}{34359738368}\cdot t^{46}-\frac{3990122803019325}{68719476736}\cdot t^{44}+\frac{12176310231149295}{549755813888}\cdot t^{42}-\frac{8184077368477395}{1099511627776}\cdot t^{40}+\frac{9672091435473285}{4398046511104}\cdot t^{38}-\frac{5010670802607015}{8796093022208}\cdot t^{36}+\frac{18142083940473675}{140737488355328}\cdot t^{34}-\frac{7142251993407531}{281474976710656}\cdot t^{32}+\frac{2433074854897071}{562949953421312}\cdot t^{30}-\frac{712718896889041}{1125899906842624}\cdot t^{28}+\frac{712718896889041}{9007199254740992}\cdot t^{26}-\frac{150705036752725}{18014398509481984}\cdot t^{24}+\frac{53326397620195}{72057594037927936}\cdot t^{22}-\frac{7791522991945}{144115188075855872}\cdot t^{20}+\frac{29607787369391}{9223372036854775808}\cdot t^{18}-\frac{2801478953319}{18446744073709551616}\cdot t^{16}+\frac{823964398035}{147573952589676412928}\cdot t^{14}-\frac{45581009253}{295147905179352825856}\cdot t^{12}+\frac{7266537707}{2361183241434822606848}\cdot t^{10}-\frac{196392911}{4722366482869645213696}\cdot t^8+\frac{6577753}{18889465931478580854784}\cdot t^6-\frac{58835}{37778931862957161709568}\cdot t^4+\frac{1681}{604462909807314587353088}\cdot t^2-\frac{1}{1208925819614629174706176}$

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.