Rule: Q[11, 34]

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.

• $P_1$:
  $\frac{88179}{256}\cdot t^{11}-\frac{230945}{256}\cdot t^9+\frac{109395}{128}\cdot t^7-\frac{45045}{128}\cdot t^5+\frac{15015}{256}\cdot t^3-\frac{693}{256}\cdot t$
• $P_2$:
  $\frac{88179}{256}\cdot t^{45}-\frac{69847730865327597127661972574300317087629232729660245205}{18471744755756406266024194825671289775679587740996096}\cdot t^{43}+\frac{67595707843823063998604933197094710450136462496391493677321}{3491159758837960784278572822051873767603442083048262144}\cdot t^{41}-\frac{56282818979412213773921991005040109306021466527592102921609273}{916429436694964705873125365788616863995903546800168812800}\cdot t^{39}+\frac{150717223780267521268765999415675793202412460387019945088955037}{1114989147978873725478969195042817184528349315273538722240}\cdot t^{37}-\frac{1076274481657209623328217955087026545678187055516386117334324756515607}{4911348798583262140938782669092402847097854197889494305271641600}\cdot t^{35}+\frac{2624958526732564551082782942971699013251413983209493952340193966099013}{9682373345778431077850742976210737041421483990125003058964093440}\cdot t^{33}-\frac{642953779813514926754436230419976038873993669078944326459160329312401}{2457268993057404856878787043204997658239543285372633352085584320}\cdot t^{31}+\frac{63799735322424422013731436584252776880825281506303929823703620683991367}{319444969097462631394242315616649695571140627098442335771125961600}\cdot t^{29}-\frac{139739001986488964119107739649315563852091679764643384875020265414298487}{1150001888750865473019272336219938904056106257554392408776053461760}\cdot t^{27}+\frac{413540777596855273168760126340147006840131353326462940540040261834264479}{6995025733570079159248280449656893333788566552360762942270296697600}\cdot t^{25}-\frac{189732610605399425310060422698357994126218039974528699781811874298806403}{8254130365612693407912970930595134133870508531785700271878950103168}\cdot t^{23}+\frac{3828183017301901933548377479193025081897272746142039297794821448187293}{538312849931262613559541582430117443513294034681676104687757615424}\cdot t^{21}-\frac{890186214993688156517587789018941552514939384550356057092724870164733}{512678904696440584342420554695349946203137175887310575893102490880}\cdot t^{19}+\frac{33878682508034977892335667427389168444370806487027791036600230456789}{102535780939288116868484110939069989240627435177462115178620498176}\cdot t^{17}-\frac{980855920906517764774323008833084467229729380148454182144298757298901}{20378986461683513227611217049140160361574702741520595391750824012480}\cdot t^{15}+\frac{2190468075992249272235439028414159793129261868783347445618415291380323}{418448522013234804940283656742344626091000562959222892043950253056256}\cdot t^{13}-\frac{113017712407774844921761701636728823087771809863390071460405845176587937}{275339127484708501650706646136462763967878370427168662964919266511016448}\cdot t^{11}+\frac{24860910917350384574866436692798759301940131996595925014682059883972399}{1126387339710171143116527188740074943504956969929326348492851544817794560}\cdot t^9-\frac{178326401531026550188266450281395434706924524833265252695089137799}{236139903503180533148118907492678185221164983213695251256363007299328}\cdot t^7+\frac{16293172894485523000106852186558487461479697416014600022654120031}{1117447757648979308647348401527852126493012866993379313981003516684320}\cdot t^5-\frac{17827044653752198042000632421235548335827376077227202323719772579}{139457480154592617719189080510675945386328005800773738384829238882203136}\cdot t^3+\frac{14338846722924764823572358128415658386032423261165278096576133}{46485826718197539239729693503558648462109335266924579461609746294067712}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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