Rule: Q[28, 29]

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.

• $P_1$:
  $\frac{956086325095055}{33554432}\cdot t^{28}-\frac{3285460280781189}{16777216}\cdot t^{26}+\frac{20146690401016725}{33554432}\cdot t^{24}-\frac{9085762337713425}{8388608}\cdot t^{22}+\frac{42832879592077575}{33554432}\cdot t^{20}-\frac{17315419409563275}{16777216}\cdot t^{18}+\frac{19624141997505045}{33554432}\cdot t^{16}-\frac{977947275623175}{4194304}\cdot t^{14}+\frac{2170565904431925}{33554432}\cdot t^{12}-\frac{204070298707275}{16777216}\cdot t^{10}+\frac{49638721307175}{33554432}\cdot t^8-\frac{902522205585}{8388608}\cdot t^6+\frac{136745788725}{33554432}\cdot t^4-\frac{1017958725}{16777216}\cdot t^2+\frac{5014575}{33554432}$
• $P_2$:
  $\frac{956086325095055}{33554432}\cdot t^{57}-\frac{803581864548529227}{1979711488}\cdot t^{55}+\frac{9757800094956748985535}{3562490822656}\cdot t^{53}-\frac{7343372804116269568660265}{630560875610112}\cdot t^{51}+\frac{688557242893022897334128608145}{19668034458113540096}\cdot t^{49}-\frac{6153710602011648776691345620024335}{77747740212922823999488}\cdot t^{47}+\frac{14166671506030434401274731064719596396141}{101362663892780523484738486272}\cdot t^{45}-\frac{9322643757313402264652463919459827557574535}{47178688782984179208618835443712}\cdot t^{43}+\frac{146651025085860909468314895648928942850220899181155}{644545999130128391449025640540246376448}\cdot t^{41}-\frac{1551548372394604449660299749997499801710544472750707475}{7187332436300061693048084917664287343771648}\cdot t^{39}+\frac{49139120508876289173914820473299385576725348230178088522177}{288850505393723796038293976741857100010948132864}\cdot t^{37}-\frac{107631274415732104311359307172109965596414014329471139492760809}{961665861171533295238920161138425673679306605199360}\cdot t^{35}+\frac{11252516046081492460925847453890957387926802428646139699308100631064743}{182547468535517493755237870370263385435816481227312677781504}\cdot t^{33}-\frac{8474863902534418654364340117636508224729539862005684019016071003385222339}{297978317806143055639799950401059932826397769523383394365341696}\cdot t^{31}+\frac{8039562396634163453864547158248528448777823254107986814274878472902424136389}{732135592025826239082523476211850418992274958159044570949821136896}\cdot t^{29}-\frac{12825322934101724910314213610068765214643590925841814229763509679693831333531}{3625814360508853755456306739334878265485552173740030256132447535104}\cdot t^{27}+\frac{29317173992808159205930239848357436597049373037481301822731229078793425247}{30989866329135502183387237088332292867397881826837865437029466112}\cdot t^{25}-\frac{35136056136467585182875582308146912496801074015141205179705555579446375}{168423186571388598822756723306153765583684140363249268679507968}\cdot t^{23}+\frac{4650281454206128933200118179719355338508856283225599906577647874694625}{123739484011632439951413102837174195122706715368917830050250752}\cdot t^{21}-\frac{1082177852029786504786715116525130660612091992901843029613552978034104025}{198065667407952992215561906608036828326412549067181139967101370368}\cdot t^{19}+\frac{124996957715564103410214147436485795106344318928707263639462114960853385}{198065667407952992215561906608036828326412549067181139967101370368}\cdot t^{17}-\frac{50578446571839267348401874219697457822628863146531925353800613346931467}{891295503335788464970028579736165727468856470802315129851956166656}\cdot t^{15}+\frac{82082616911135602022457040944796783135458647970048977471929450226245}{21221321507994963451667347136575374463544201685769407853618003968}\cdot t^{13}-\frac{16369502073551164958003309997043623925436765874444585506481348669385}{84885286031979853806669388546301497854176806743077631414472015872}\cdot t^{11}+\frac{568210738073080588652352916114730870409218238420711779571048122435}{84885286031979853806669388546301497854176806743077631414472015872}\cdot t^9-\frac{1318655307383127973299876254465221369222599815597956926695583695}{8758005701712207138783349611919995810351575298888961971334414336}\cdot t^7+\frac{841488776256226743089265884390005746189200138288423700549122375}{429142279383898149800384130984079794707227189645559136595386302464}\cdot t^5-\frac{798889994108072779269374638754346004890735865879734473567825}{66021889135984330738520635536012276108804183022393713322367123456}\cdot t^3+\frac{19179281563342336270024224914481449181264555124636294969675}{858284558767796299600768261968159589414454379291118273190772604928}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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