Rule: Q[2, 10, 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.

• $P_1$:
  $\frac{3}{2}\cdot t^2-\frac{1}{2}$
• $P_2$:
  $\frac{3}{2}\cdot t^{12}-\frac{3091}{728}\cdot t^{10}+\frac{61875}{13832}\cdot t^8-\frac{36135}{16796}\cdot t^6+\frac{7755}{16796}\cdot t^4-\frac{15543}{436696}\cdot t^2+\frac{189}{436696}$
• $P_3$:
  $\frac{3}{2}\cdot t^{39}-\frac{1452426002665852624125858999931410516585123914057325518840815555653}{101989391389980291859332832512884741175966284868785746221538070120}\cdot t^{37}+\frac{13920923087055263325059126971899473579365385885258306039748758276961907}{223662735318226780047516901700756237398894062717247141463832987773160}\cdot t^{35}-\frac{51237030625149535670028491469379021957689520990953544368390967088328510}{308601321706934331041752486989495808506331212725344567805455277177491}\cdot t^{33}+\frac{676717255358980054709192535744007644040737105041184966845501494790033250317}{2239519791627222440369997798082771082330445610747825528564188946477052187}\cdot t^{31}-\frac{379958904176720866713448466189010224599336068437877812800868919814430497188547}{956312908987393934960707195337242960139546554528486718078748751144794115242}\cdot t^{29}+\frac{12221001743453761974577210691304683993094982399545840660092733952095027835049283}{31345812016809023423712069180498519249018470398433731314803431287523807110710}\cdot t^{27}-\frac{18582928691190208565568776228941924672095137142972326346154676527798076366259267}{63897232188110701594489987175631596930691497350653375372483917624567760648755}\cdot t^{25}+\frac{253107154670484898743704484958846007785340559448725968518810319390066677321925900}{1520754126077034697948861694780032006950457636945550333865117239464712703440369}\cdot t^{23}-\frac{3118376780915645869307961530819348459101500968059317523159744755734655696762308685}{42581115530156971542568127453840896194612813834475409348223282705011955696330332}\cdot t^{21}+\frac{150118745871056983843089007440545433483786772742094125919832540279340371805840445}{6083016504308138791795446779120128027801830547782201335460468957858850813761476}\cdot t^{19}-\frac{11736362900567702074211273449202218042168269977067081465953654411278002264543}{1861388159213016766155277472190981648654170914254039576334292826762194251457}\cdot t^{17}+\frac{11427103592968484683116079835760205524532115389774072820451948769834128717901971}{9515306776475811531128945774459581071352553821259929488363473501418527472609863}\cdot t^{15}-\frac{129697453432382637395691708579512081646700014085192043482332266911227284424380825}{780255155671016545552573553505685647850909413343314218045804827116319252754008766}\cdot t^{13}+\frac{2900252423637411060435561046338103152863656851051438214346928501294502461750665}{180058882077926895127516973885927457196363710771534050318262652411458289097078946}\cdot t^{11}-\frac{2823412831000529804152570920137336949421272816360425848460597488266157986319815}{2730893044848557909434007437269899767478182946701599763160316894907117384639030681}\cdot t^9+\frac{31485094796673095237524155451206163146015988013489441346949144946213716468851}{780255155671016545552573553505685647850909413343314218045804827116319252754008766}\cdot t^7-\frac{369607238589893920512882763589073197249114277563838617262969777349171490401}{445860088954866597458613459146106084486233950481893838883317044066468144430862152}\cdot t^5+\frac{272889157199802224020841524848208524531760528870455746454537910461682861725}{40573268094892860368733824782295653688247289493852339338381851010048601143208455832}\cdot t^3-\frac{6529176228360884354478089620169344680940545203118846751776332810805315}{724522644551658220870246871112422387290130169533077488185390196608010734700150997}\cdot t$

Warning: This rule has negative weights!

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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