Rule: Q[26, 27]

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.

• $P_1$:
  $\frac{61989816618513}{8388608}\cdot t^{26}-\frac{395033145117975}{8388608}\cdot t^{24}+\frac{556271163533475}{4194304}\cdot t^{22}-\frac{911337863661225}{4194304}\cdot t^{20}+\frac{1923935489951475}{8388608}\cdot t^{18}-\frac{1369126185872445}{8388608}\cdot t^{16}+\frac{166966608033225}{2097152}\cdot t^{14}-\frac{55655536011075}{2097152}\cdot t^{12}+\frac{49638721307175}{8388608}\cdot t^{10}-\frac{7091245901025}{8388608}\cdot t^8+\frac{300840735195}{4194304}\cdot t^6-\frac{13233463425}{4194304}\cdot t^4+\frac{456326325}{8388608}\cdot t^2-\frac{1300075}{8388608}$
• $P_2$:
  $\frac{61989816618513}{8388608}\cdot t^{53}-\frac{45158973663286539}{461373440}\cdot t^{51}+\frac{294839418254227692273}{482135244800}\cdot t^{49}-\frac{3749138791942800161490921}{1564528869376000}\cdot t^{47}+\frac{329406760054071326783096961321}{49865446389186560000}\cdot t^{45}-\frac{37353767696682963814902997019763}{2742599551405260800000}\cdot t^{43}+\frac{47918145192996646733723862016471697547}{2198234679444587610112000000}\cdot t^{41}-\frac{224755736524713573046603617982499963277147}{8100494793753305343262720000000}\cdot t^{39}+\frac{678025121951807412965879575042115222143500329499}{23752837868879004658888975974400000000}\cdot t^{37}-\frac{131314666771363694345959288795768795594698407817851733}{5472535080800378278384725619621888000000000}\cdot t^{35}+\frac{6928133922048441146671502220947600334536281948893630408063}{417472338638856856966578793892855726080000000000}\cdot t^{33}-\frac{217663850080629369213666839475503225456759141924349532511589}{22960978625137127133161833664107064934400000000000}\cdot t^{31}+\frac{1256814170674019562557620175420085456101991875516515487064365848419}{280654423936583462925577158416623305801158144000000000000}\cdot t^{29}-\frac{2131076154156573075410056540161987348930328124531418564831637926855103}{1219443472004455146411632753320228263706032135680000000000000}\cdot t^{27}+\frac{8427631131128134410921666330124927470388387632253441329817367092977}{15008535040054832571220095425479732476381933977600000000000}\cdot t^{25}-\frac{96391678007647276317146376238663466528575393258933196892837844233}{652545001741514459618265018499118803320953651200000000000}\cdot t^{23}+\frac{1871807320293551576098988574029658402446170763300576837253280863}{59322272885592223601660456227192618483723059200000000000}\cdot t^{21}-\frac{16896272139082885007422024077117575923789521843467278938267453}{3122224888715380189561076643536453604406476800000000000}\cdot t^{19}+\frac{5730624581993575059535518090035338353334339141743752766506973}{7805562221788450473902691608841134011016192000000000000}\cdot t^{17}-\frac{60300907795558716156153755814452302219912129052261572593951}{780556222178845047390269160884113401101619200000000000}\cdot t^{15}+\frac{9589914092221912997004412706579624146165748722407053122569}{1561112444357690094780538321768226802203238400000000000}\cdot t^{13}-\frac{50578141519546014281862432419028446353983761874747098859}{141919313123426372252776211069838800200294400000000000}\cdot t^{11}+\frac{313648568281758728628255882935985301340313115788353721}{21833740480527134192734801703052123107737600000000000}\cdot t^9-\frac{5848145424093768446230388334584359596576261735467186817}{15611124443576900947805383217682268022032384000000000000}\cdot t^7+\frac{194028746252352207188048652951458423629532057498315841}{34344473775869182085171843078900989648471244800000000000}\cdot t^5-\frac{18010516018046587649227079144059829945789475778209741}{446478159086299367107233960025712865430126182400000000000}\cdot t^3+\frac{19235142105841871015829076877578412153216564803203}{223239079543149683553616980012856432715063091200000000000}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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