Rule: Q[2, 54]

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.

• $P_1$:
  $t^2-1$
• $P_2$:
  $t^{56}-\frac{8534356927971986410813862099312321}{5690528076652076761835015119628}\cdot t^{54}+\frac{5942442592107288732311488554251426991}{5690528076652076761835015119628}\cdot t^{52}-\frac{196470795276521120381312398399126202421}{437732928973236673987308855356}\cdot t^{50}+\frac{58462678616552042308360469448321815439075}{437732928973236673987308855356}\cdot t^{48}-\frac{6402096673066718641193685104843586900421875}{218866464486618336993654427678}\cdot t^{46}+\frac{1071156551687148291975743346645591595832025525}{218866464486618336993654427678}\cdot t^{44}-\frac{140271721456813155279273558288508367281264088775}{218866464486618336993654427678}\cdot t^{42}+\frac{14613783788427381554149440380477957693814241854075}{218866464486618336993654427678}\cdot t^{40}-\frac{2449342749544642860370291102026901742223622266648375}{437732928973236673987308855356}\cdot t^{38}+\frac{166303763862726332803567281428731644471616815618239625}{437732928973236673987308855356}\cdot t^{36}-\frac{9187618312041135608141359271139310979354107373762913375}{437732928973236673987308855356}\cdot t^{34}+\frac{413763984433396423279665695826096598496855015628995804625}{437732928973236673987308855356}\cdot t^{32}-\frac{3796372675736911527150894836159797744608021802329796208625}{109433232243309168496827213839}\cdot t^{30}+\frac{113288712320038825826216774528064076750529489238032755044375}{109433232243309168496827213839}\cdot t^{28}-\frac{2737191295827955095882174779501307834198605186372620422883125}{109433232243309168496827213839}\cdot t^{26}+\frac{53208736774190801800418638955687831477641053392669688191287500}{109433232243309168496827213839}\cdot t^{24}-\frac{3300198587557141020598034434343641395336924975682862267247571875}{437732928973236673987308855356}\cdot t^{22}+\frac{40360309867884152083094769497711196026870185485624201587148778125}{437732928973236673987308855356}\cdot t^{20}-\frac{383680711954516610685147637546789941469165004499850040779537171875}{437732928973236673987308855356}\cdot t^{18}+\frac{2782751188010966509126008987890979608422655379197454202510037203125}{437732928973236673987308855356}\cdot t^{16}-\frac{7515271227342516990030395852997189041731995639917301694447471546875}{218866464486618336993654427678}\cdot t^{14}+\frac{29284729749703945446034986745174259427515127630618673442583188578125}{218866464486618336993654427678}\cdot t^{12}-\frac{78865881821583202634709573151946505914746175545401805732035702609375}{218866464486618336993654427678}\cdot t^{10}+\frac{138182478286334259925950916288698762217037417239210648081235207109375}{218866464486618336993654427678}\cdot t^8-\frac{287820799072128033402479897735195129890393691940976119329383776890625}{437732928973236673987308855356}\cdot t^6+\frac{153526642374731148790863313259829826393052059191992530936615782609375}{437732928973236673987308855356}\cdot t^4-\frac{31333960832513668684510203619514735248570954691187776228745846515625}{437732928973236673987308855356}\cdot t^2+\frac{1019674643792792614045464439014307863841956611338868691445212984375}{437732928973236673987308855356}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (probabilists') type can be downloaded here packed into a single file.