Rule: Q[3, 4, 36]

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.

• $P_1$:
  $\frac{5}{2}\cdot t^3-\frac{3}{2}\cdot t$
• $P_2$:
  $\frac{5}{2}\cdot t^7-\frac{77}{18}\cdot t^5+\frac{3745}{1782}\cdot t^3-\frac{155}{594}\cdot t$
• $P_3$:
  $\frac{5}{2}\cdot t^{43}-\frac{14495289199434918665694985466195943482215240958873245750766923}{539900688376186890223246128176265999836811075052218560816016}\cdot t^{41}+\frac{7174657331243041103879316738737406403354270960443220540358315315}{53450168149242502132101366689450333983844296430169637520785584}\cdot t^{39}-\frac{16797696597640088018863803143262153008841903097805757915410388617}{40492551628214016766743459613219949987760830628916392061201200}\cdot t^{37}+\frac{9617695654473275324085055982283740903402852786423112718944421528189}{10838506319151951821231666023138539946723982331673287608381521200}\cdot t^{35}-\frac{321834241915766474095077365742540159685984610670488918103689194318097}{230860184597936573792234486292850900865220823664641026058526401560}\cdot t^{33}+\frac{134001319469033423615699871575347108617139476900179197397110662014077}{80451276450796078745778684617205616968183014307374903020395564180}\cdot t^{31}-\frac{1666973838157466279744695886807294596785719748897014510618610365890021}{1078047104440667455193434373870555267373652391718823700473300560012}\cdot t^{29}+\frac{1156391324185527844521389964408021296325747553393553314128279251260457}{1023462440924684292905159215699894241177518093403946551082247367100}\cdot t^{27}-\frac{3918627921263837756175439352253201678325476928700193936552018417266051}{5989150580225930306630190965947529263186957731771242780407225333400}\cdot t^{25}+\frac{573482520630237389256843430755527234063633768959097987329287920001661}{1906112271619730862805782516118952791588196982459369441416560410456}\cdot t^{23}-\frac{110944742097492461914243262582536826224277964672285685755001334375618293}{1012145616230077088149870516059163932333332597685925173392193577952136}\cdot t^{21}+\frac{10606489511553055654143262440481748930499846540091722743441594463904115}{337381872076692362716623505353054644111110865895308391130731192650712}\cdot t^{19}-\frac{10856029475904649544991257288738293492847542541519623247533961680158403}{1546333580351506662451191066201500452175924802020163459349184632982430}\cdot t^{17}+\frac{2334198530964041289818042455871929795553616758133748821828405458644681}{1943612958702684263476200628664336536727051727440363557600951435922580}\cdot t^{15}-\frac{85437921457884075629355291337243735698890546829759997558695956382487}{555631727177151546507885603448674738747959420386906192172927359647924}\cdot t^{13}+\frac{467570879255661531253204220828450389397278253922474644955876461541295}{32782271903451941243965250603471809586129605802827465338202714219227516}\cdot t^{11}-\frac{21062771041438966153499205821521565065665061706046034511504755877555}{23025157351864128096633127447519427903582936080690772665935654818984208}\cdot t^9+\frac{4193619899563437005958265576095658138426219763348016723922158756841}{110789598934110823515814765778553932756411302610480083166601879590404240}\cdot t^7-\frac{845085815265649297926551169432181661009559498219297833406945494039}{933798048158934083919010168704954576089752407716903558118501556547692880}\cdot t^5+\frac{51706841639541023723263525591656620972738300298942373789991684573}{5042509460058244053162654911006754710884663001671279213839908405357541552}\cdot t^3-\frac{850677994857491343504965022938111357262825372183278198244371}{24410488395855953231077859181913750329317179122890010025504397536308984}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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