Rule: Q[27, 28]

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.

• $P_1$:
  $\frac{121683714103007}{8388608}\cdot t^{27}-\frac{805867616040669}{8388608}\cdot t^{25}+\frac{1185099435353925}{4194304}\cdot t^{23}-\frac{2039660932956075}{4194304}\cdot t^{21}+\frac{4556689318306125}{8388608}\cdot t^{19}-\frac{3463083881912655}{8388608}\cdot t^{17}+\frac{456375395290815}{2097152}\cdot t^{15}-\frac{166966608033225}{2097152}\cdot t^{13}+\frac{166966608033225}{8388608}\cdot t^{11}-\frac{27577067392875}{8388608}\cdot t^9+\frac{1418249180205}{4194304}\cdot t^7-\frac{82047473235}{4194304}\cdot t^5+\frac{4411154475}{8388608}\cdot t^3-\frac{35102025}{8388608}\cdot t$
• $P_2$:
  $\frac{121683714103007}{8388608}\cdot t^{55}-\frac{95338042040138975}{478150656}\cdot t^{53}+\frac{2083352201767406772895}{1608020656128}\cdot t^{51}-\frac{29592335724760699337868355}{5591087821357056}\cdot t^{49}+\frac{143377025806428629742838981285}{9401414171611889664}\cdot t^{47}-\frac{229620034919071485391906391023297}{6966447901164410241024}\cdot t^{45}+\frac{5311968455088128921757689656663695460715}{95750907459834230874983890944}\cdot t^{43}-\frac{719597522233447167175088228539904822076625}{9656110744603282821315683155968}\cdot t^{41}+\frac{4869682086047966903993957118651790250916148423595}{59946081801350150876444249969198628864}\cdot t^{39}-\frac{1105789403809491845940619479147256596283672786569191735}{15215574428900496645609955971431965176889344}\cdot t^{37}+\frac{178813694875963581279063834843941287905720535397010308941007}{3326048492285504064247108325575170427842126151680}\cdot t^{35}-\frac{1252574778120940577339881819425472282920276085856619349227235}{37916952812054746332417034911556942877400238129152}\cdot t^{33}+\frac{173905346164976366488879283338240762023502579935944914599470288027861}{10292764426669668688657087526904014190443312687112007974912}\cdot t^{31}-\frac{324587062474979884038127374836970948583964849236087051612300591051913}{45129813255397778096419537617963754527328371012721881120768}\cdot t^{29}+\frac{9577407506742696385754678459191559348063869844831437256283779888795675683309}{3766514853605611994280371245613616846400133620850603740652296470528}\cdot t^{27}-\frac{39892679164178692936729184583894080852867330096203185450424600569773818807}{53654057743669686528210416604182576159546062975079825365417328640}\cdot t^{25}+\frac{7669134439353452680767766407584636592843671636719937101695735034382938735}{42923246194935749222568333283346060927636850380063860292333862912}\cdot t^{23}-\frac{195818751682543731029010494155033636706029426880759117759586684095673235}{5598684286295967289900217384784268816648284832182242646826156032}\cdot t^{21}+\frac{10287375739254398500003625888286460992636003545523922657750523170308875}{1866228095431989096633405794928089605549428277394080882275385344}\cdot t^{19}-\frac{22552582365517409894810510657441533038005802793288917474141238422875}{32740843779508580642691329735580519395604004866562822496059392}\cdot t^{17}+\frac{9855443892787526562462518223908461548112115667533678266883506742921}{147333797007788612892110983810112337280218021899532701232267264}\cdot t^{15}-\frac{18575016586793373540702332331842520314997747781601072947559995495}{3777789666866374689541307277182367622569692869218787211083776}\cdot t^{13}+\frac{38902576272877848697550804048898219912692347786362760247865022895}{147333797007788612892110983810112337280218021899532701232267264}\cdot t^{11}-\frac{56670167342902447162468234077603898274618674624021687454948082545}{5746018083303755902792328368594381153928502854081775348058423296}\cdot t^9+\frac{304578016127937303524381205925362885639865372827625052502786605}{1276892907400834645064961859687640256428556189795950077346316288}\cdot t^7-\frac{63622431434211232929405882067392575427246439172911933451911}{19058103095534845448730774025188660543709793877551493691736064}\cdot t^5+\frac{6521178190514254092599218052364468393739247628258982867265}{294667594015577225784221967620224674560436043799065402464534528}\cdot t^3-\frac{789491613277973939185248678692583274596306998892153665}{17984407146490628803731857178699158541247270278816198272483328}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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