Rule: Q[2, 96]

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.

• $P_1$:
  $4\cdot t^2-1$
• $P_2$:
  $4\cdot t^{98}-97\cdot t^{96}+1140\cdot t^{94}-\frac{138415}{16}\cdot t^{92}+\frac{3049501}{64}\cdot t^{90}-\frac{51971283}{256}\cdot t^{88}+\frac{178267089}{256}\cdot t^{86}-\frac{4046995095}{2048}\cdot t^{84}+\frac{77515521435}{16384}\cdot t^{82}-\frac{635627275767}{65536}\cdot t^{80}+\frac{564208480737}{32768}\cdot t^{78}-\frac{14002628658291}{524288}\cdot t^{76}+\frac{76451133479175}{2097152}\cdot t^{74}-\frac{369399841730325}{8388608}\cdot t^{72}+\frac{396716804816265}{8388608}\cdot t^{70}-\frac{3041495503591365}{67108864}\cdot t^{68}+\frac{41738112995067045}{1073741824}\cdot t^{66}-\frac{128447994798305325}{4294967296}\cdot t^{64}+\frac{11100443994915275}{536870912}\cdot t^{62}-\frac{220957258888260895}{17179869184}\cdot t^{60}+\frac{495056137002812385}{68719476736}\cdot t^{58}-\frac{999179236221793495}{274877906944}\cdot t^{56}+\frac{454172380100815225}{274877906944}\cdot t^{54}-\frac{1487232668018916675}{2199023255552}\cdot t^{52}+\frac{4382378928429074469}{17592186044416}\cdot t^{50}-\frac{5803691013324990513}{70368744177664}\cdot t^{48}+\frac{862297611041963817}{35184372088832}\cdot t^{46}-\frac{3672749084067623665}{562949953421312}\cdot t^{44}+\frac{3495392991476832985}{2251799813685248}\cdot t^{42}-\frac{2965057503114830739}{9007199254740992}\cdot t^{40}+\frac{558634022325982603}{9007199254740992}\cdot t^{38}-\frac{745198705303919867}{72057594037927936}\cdot t^{36}+\frac{3503546151802011315}{2305843009213693952}\cdot t^{34}-\frac{1804857108504066435}{9223372036854775808}\cdot t^{32}+\frac{50634000329073357}{2305843009213693952}\cdot t^{30}-\frac{629308289804197437}{295147905179352825856}\cdot t^{28}+\frac{209769429934732479}{1180591620717411303424}\cdot t^{26}-\frac{59437719903041025}{4722366482869645213696}\cdot t^{24}+\frac{3538570037368275}{4722366482869645213696}\cdot t^{22}-\frac{1397281501935165}{37778931862957161709568}\cdot t^{20}+\frac{449972009097765}{302231454903657293676544}\cdot t^{18}-\frac{57902201338905}{1208925819614629174706176}\cdot t^{16}+\frac{725591495475}{604462909807314587353088}\cdot t^{14}-\frac{219364870725}{9671406556917033397649408}\cdot t^{12}+\frac{11965356585}{38685626227668133590597632}\cdot t^{10}-\frac{443161355}{154742504910672534362390528}\cdot t^8+\frac{2544815}{154742504910672534362390528}\cdot t^6-\frac{62475}{1237940039285380274899124224}\cdot t^4+\frac{1225}{19807040628566084398385987584}\cdot t^2-\frac{1}{79228162514264337593543950336}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Chebyshev U (second kind) type can be downloaded here packed into a single file.