Rule: Q[22, 92]

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.

• $P_1$:
  $4194304\cdot t^{22}-22020096\cdot t^{20}+49807360\cdot t^{18}-63504384\cdot t^{16}+50135040\cdot t^{14}-25346048\cdot t^{12}+8200192\cdot t^{10}-1647360\cdot t^8+192192\cdot t^6-11440\cdot t^4+264\cdot t^2-1$
• $P_2$:
  $4194304\cdot t^{114}-118489088\cdot t^{112}+1629487104\cdot t^{110}-14536867840\cdot t^{108}+94587863040\cdot t^{106}-478528598016\cdot t^{104}+1959479488512\cdot t^{102}-6675448971776\cdot t^{100}+19301093697600\cdot t^{98}-48080764331600\cdot t^{96}+104403945405760\cdot t^{94}-199453516332420\cdot t^{92}+337747742462585\cdot t^{90}-\frac{2040240887726475}{4}\cdot t^{88}+\frac{2761683917332725}{4}\cdot t^{86}-\frac{26917212580936293}{32}\cdot t^{84}+\frac{473906076046181401}{512}\cdot t^{82}-\frac{1889366240755544337}{2048}\cdot t^{80}+\frac{854867886710698755}{1024}\cdot t^{78}-\frac{45038039715653129145}{65536}\cdot t^{76}+\frac{135114119146959387435}{262144}\cdot t^{74}-\frac{369749985629115811005}{1048576}\cdot t^{72}+\frac{230958202167160315965}{1048576}\cdot t^{70}-\frac{1054374401197905790275}{8388608}\cdot t^{68}+\frac{4399019937598588626825}{67108864}\cdot t^{66}-\frac{8387464681021308981813}{268435456}\cdot t^{64}+\frac{456707238465291673167}{33554432}\cdot t^{62}-\frac{2907856525043321730501}{536870912}\cdot t^{60}+\frac{4225702831959506948265}{2147483648}\cdot t^{58}-\frac{5601513056318416187235}{8589934592}\cdot t^{56}+\frac{1691437275829482534969}{8589934592}\cdot t^{54}-\frac{3718044150095221977789}{68719476736}\cdot t^{52}+\frac{29699557488110026159929}{2199023255552}\cdot t^{50}-\frac{26889843254201612746425}{8796093022208}\cdot t^{48}+\frac{2753426215571842699525}{4398046511104}\cdot t^{46}-\frac{16284549332096326822905}{140737488355328}\cdot t^{44}+\frac{10833462495192071149415}{562949953421312}\cdot t^{42}-\frac{6464041031434770103705}{2251799813685248}\cdot t^{40}+\frac{861577581086657669325}{2251799813685248}\cdot t^{38}-\frac{817394115389905993975}{18014398509481984}\cdot t^{36}+\frac{686611056927521034939}{144115188075855872}\cdot t^{34}-\frac{253914833840698286487}{576460752303423488}\cdot t^{32}+\frac{5134611773686658109}{144115188075855872}\cdot t^{30}-\frac{5771462846391980045}{2305843009213693952}\cdot t^{28}+\frac{1396679229152476605}{9223372036854775808}\cdot t^{26}-\frac{288203650460034855}{36893488147419103232}\cdot t^{24}+\frac{12530593498262385}{36893488147419103232}\cdot t^{22}-\frac{3622737294241065}{295147905179352825856}\cdot t^{20}+\frac{1712239019666175}{4722366482869645213696}\cdot t^{18}-\frac{162011484235575}{18889465931478580854784}\cdot t^{16}+\frac{1495490623713}{9444732965739290427392}\cdot t^{14}-\frac{2668424446233}{1208925819614629174706176}\cdot t^{12}+\frac{107518933731}{4835703278458516698824704}\cdot t^{10}-\frac{2944827765}{19342813113834066795298816}\cdot t^8+\frac{12515965}{19342813113834066795298816}\cdot t^6-\frac{227563}{154742504910672534362390528}\cdot t^4+\frac{1653}{1237940039285380274899124224}\cdot t^2-\frac{1}{4951760157141521099596496896}$

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.