Rule: Q[2, 52]

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^{54}-\frac{374139666052908334342450417765769}{269406514469750166223704016775}\cdot t^{52}+\frac{240508958363437571882851396930078119}{269406514469750166223704016775}\cdot t^{50}-\frac{3805067529518682995578750059063706053}{10776260578790006648948160671}\cdot t^{48}+\frac{1038273824426543753414001499051990397778}{10776260578790006648948160671}\cdot t^{46}-\frac{207728351344465512729482664659739247542270}{10776260578790006648948160671}\cdot t^{44}+\frac{2874320968134456048532493939225269586004414}{979660052617273331722560061}\cdot t^{42}-\frac{340857874740783488996915571254296024740063834}{979660052617273331722560061}\cdot t^{40}+\frac{31996991364100316192372602828428679314154512735}{979660052617273331722560061}\cdot t^{38}-\frac{64938495430945622438152534636856269789655914605}{26477298719385765722231353}\cdot t^{36}+\frac{3926650572873806373621663188062875644714095046475}{26477298719385765722231353}\cdot t^{34}-\frac{191870972613499965215625551394194120926673241114585}{26477298719385765722231353}\cdot t^{32}+\frac{7583954328431346622230579581483505470881008907503060}{26477298719385765722231353}\cdot t^{30}-\frac{242169244472657091289512063217156881954222528791340300}{26477298719385765722231353}\cdot t^{28}+\frac{6225328156336854769779947014916950721258981968684419300}{26477298719385765722231353}\cdot t^{26}-\frac{128095212091425974952766480331031088644669039300057427500}{26477298719385765722231353}\cdot t^{24}+\frac{2092568418723296665665188374595362226170537345056179535375}{26477298719385765722231353}\cdot t^{22}-\frac{26843483121697259167310635091998895177290782297944183006625}{26477298719385765722231353}\cdot t^{20}+\frac{266555794341172560669220865795171289995665260033345432729375}{26477298719385765722231353}\cdot t^{18}-\frac{2011255148781985789977626803144431527755208218895991939973125}{26477298719385765722231353}\cdot t^{16}+\frac{11256208143005071022134429279840165479587724484088160793068750}{26477298719385765722231353}\cdot t^{14}-\frac{45261170037712318319080090210192881101458198504134936433961250}{26477298719385765722231353}\cdot t^{12}+\frac{125236314367207986626732960623235135374108772731663528293873750}{26477298719385765722231353}\cdot t^{10}-\frac{224391753824241557536093664248483618911866641208326135994081250}{26477298719385765722231353}\cdot t^8+\frac{237715258737212070573922299215164185846208659844978292590753125}{26477298719385765722231353}\cdot t^6-\frac{128184082807685394413441194084258489777143742968145655913046875}{26477298719385765722231353}\cdot t^4+\frac{26247463932240818419045155839865800318437451545224077601148125}{26477298719385765722231353}\cdot t^2-\frac{848666136225655543176212164056226036888725103337290740429375}{26477298719385765722231353}$

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.