Rule: Q[9, 38]

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.

• $P_1$:
  $\frac{12155}{128}\cdot t^9-\frac{6435}{32}\cdot t^7+\frac{9009}{64}\cdot t^5-\frac{1155}{32}\cdot t^3+\frac{315}{128}\cdot t$
• $P_2$:
  $\frac{12155}{128}\cdot t^{47}-\frac{4190394628469386558282880141505211414013737206447907415}{3805108252824529406614629045696839741008746684541056}\cdot t^{45}+\frac{10695914838976449666820994678375924103452458511910105967095}{1789669248245136997577747194492746958187780523962476672}\cdot t^{43}-\frac{1118775449571748132891981726857044049430069659819138730333245}{55479746695599246924910163029275155703821196242836776832}\cdot t^{41}+\frac{30542332394410207386366355787202234289840059485842294827826884823}{644286298375994054538981723258972383188475551968063489350016}\cdot t^{39}-\frac{123960119918159825545020287872526334746155685334796200235886821591}{1503334696210652793924290687604268894106442954592148141816704}\cdot t^{37}+\frac{136442010105883367811950004930820568499657663988587416557360244405623}{1240251124373788554987539817273521837637815437538522216998780800}\cdot t^{35}-\frac{52573893098298371181041422008785464392767607131766463305534760384843}{456495791996402846289531462156136609147364001379724984071820160}\cdot t^{33}+\frac{1520528635467424567420891372802210388507748711269133582644360057161}{15841251823922092906430466184303860825739415492649302966324160}\cdot t^{31}-\frac{3053408238418222526163819879765498888879817202983338649678627852231}{47523755471766278719291398552911582477218246477947908898972480}\cdot t^{29}+\frac{47346971537837311699792767814873562539093240934974151431555084416089}{1364610692832146003225367301305032582560123934581075669813352640}\cdot t^{27}-\frac{26762664471600728652408020394188833282587279670789187001924506610149}{1768939787004633707884735390580597792207568063345838831239531200}\cdot t^{25}+\frac{31712576554846479951088154203189695196848003610121596043444728923}{5967507715196354677201516980271896166483362141407649069241792}\cdot t^{23}-\frac{1908861808821106423639442287068534830650584567512902365005567179189}{1276626404029822974535406217089434237643884331913250446657937728}\cdot t^{21}+\frac{85042546715273327252408488494747744123919622001670398730994813021429}{254656571737187068587086506827982858166201498399266958145242911552}\cdot t^{19}-\frac{14879997013919332718178988131261578757917522497476830652270784363097}{254656571737187068587086506827982858166201498399266958145242911552}\cdot t^{17}+\frac{60091777245755254790430347700876057621652499690326014407823479460821}{7639697152115612057612595204839485744986044951978008744357287346560}\cdot t^{15}-\frac{33711699498063980286870737136815165758030481178914484100983332082247}{42418508949365731710363266708775430374541563876220753313907604981376}\cdot t^{13}+\frac{51897761735367300367907591827449481089596852091605966998893060136339}{890788687936680365917628600884284037865372841400635819592059704608896}\cdot t^{11}-\frac{597858471685699057887601036937030093773350084635740107375667679292743}{202370993741251294038923079419075073693233339150926264832777927437966464}\cdot t^9+\frac{2172017941538149625505000393090353213743717442963945641932822071641}{22485665971250143782102564379897230410359259905658473870308658604218496}\cdot t^7-\frac{29272092198165702789097516857956789867185491616846375814126052711}{16061189979464388415787545985640878864542328504041767050220470431584640}\cdot t^5+\frac{156753528913493082523813589269810640189541576803394304090667449}{9636713987678633049472527591384527318725397102425060230132282258950784}\cdot t^3-\frac{1681735181984262451442212889441487535818196840247564464597}{38701662601119008230813363820821394854318863865160884458362579353216}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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