Rule: Q[15, 32]

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.

• $P_1$:
  $\frac{9694845}{2048}\cdot t^{15}-\frac{35102025}{2048}\cdot t^{13}+\frac{50702925}{2048}\cdot t^{11}-\frac{37182145}{2048}\cdot t^9+\frac{14549535}{2048}\cdot t^7-\frac{2909907}{2048}\cdot t^5+\frac{255255}{2048}\cdot t^3-\frac{6435}{2048}\cdot t$
• $P_2$:
  $\frac{9694845}{2048}\cdot t^{47}-\frac{300542991502110386902934521074315125353792936803491806131205103995}{5351616232739507482447994983840210185458442361713202978199552}\cdot t^{45}+\frac{128539863535450968988069257053933588849132816082398928275178030065475}{412074449920942076148495613755696184280300061851916629321365504}\cdot t^{43}-\frac{110968838049257687495284589630713945905044597955317872006191878560094045}{102959744701675384454816975494101803758034972597000312097581180928}\cdot t^{41}+\frac{58533318977190097877938220498226284575313454657526907241141777811044666485}{22548184089666909195604917633208295023009658998743068349370278623232}\cdot t^{39}-\frac{2470200910473376933583658690554446206610697604948509645202908564282833338541}{533640356788783517629316383985929648877895262970252617601763260749824}\cdot t^{37}+\frac{10141735141267346357940270455044510255011329307305998623392500444335310015987}{1600921070366350552887949151957788946633685788910757852805289782249472}\cdot t^{35}-\frac{15332670730836837215108775433370309790609119352945477482973257950911729094592705}{2252495946005455227913344456804609047913595904997436298897042723625007104}\cdot t^{33}+\frac{4573759913122641614172224184147951841699520347296924376753153416596732348205625}{784960708456446518818286704644030425788071300226379316282302767323866112}\cdot t^{31}-\frac{22026112243802678993886557392116767046456703460064940088482637598288852157901795}{5494724959195125631728006932508212980516499101584655213976119371267062784}\cdot t^{29}+\frac{15729016406020101226295321438595466625710036607402659452953770199473195043757961}{7064646376108018669364580341796273832092641702037413846540724905914795008}\cdot t^{27}-\frac{261462108037457006212646748847674782869496723512262525122553207460204617452487}{261653569485482172939428901548010141929357100075459772094100922441288704}\cdot t^{25}+\frac{78151821613454601941284316151538679309147671080372542237654752714823024592925}{216148600879311360254310831713573595506860213105814594338605109842803712}\cdot t^{23}-\frac{68010374964975159984017896600848034959824367331353082110587735509769675830075}{648445802637934080762932495140720786520580639317443783015815329528411136}\cdot t^{21}+\frac{9458232683205749101459353827523864487998845751510112412381456254978846158719875}{391308601286614360982501562023778471823656355273721294813947366487522067456}\cdot t^{19}-\frac{1772405225169392338401259399569041965366124058518930251358736874143666418760301475}{405787019534219092338854119818658275281131640418848982722063419047560383951872}\cdot t^{17}+\frac{4265394835090323996666050711150164287821788445702905440367505114722182405148963175}{7017728455474141949860183013334443113685453075478917701193332070587220757755904}\cdot t^{15}-\frac{21234193284356613420383970037224966013024025703694123102197128396916116307023375}{334177545498768664279056333968306814937402527403757985771111050980343845607424}\cdot t^{13}+\frac{537363225691973591492671882106104494783040476201112568729158948006285931878225}{111392515166256221426352111322768938312467509134585995257037016993447948535808}\cdot t^{11}-\frac{69325074099468346066612221291394468386095512284003772744941557804823027713525}{273417991771719816228318818701341939494238431512165624721818132620281328224256}\cdot t^9+\frac{261245091555095513891710855338812687806292758080397529632627040647701212695}{30379776863524424025368757633482437721582047945796180524646459180031258691584}\cdot t^7-\frac{5115409806359257184492913558765973461378012197788442168817766047588171355}{30379776863524424025368757633482437721582047945796180524646459180031258691584}\cdot t^5+\frac{2682306757641854413998747794883193540544913289871205783638888972325425}{1719610011142891925964269300008439871032946110139406444791309010190448605184}\cdot t^3-\frac{919299974343260653871678731472186473519026694120736276332627668793925}{212658438044670968177581303434377064051074335620573263672525214260218810841088}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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