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.

• $P_1$:
  $4\cdot t^2-2$
• $P_2$:
  $4\cdot t^{54}-\frac{748279332105816668684900835531538}{269406514469750166223704016775}\cdot t^{52}+\frac{240508958363437571882851396930078119}{269406514469750166223704016775}\cdot t^{50}-\frac{3805067529518682995578750059063706053}{21552521157580013297896321342}\cdot t^{48}+\frac{519136912213271876707000749525995198889}{21552521157580013297896321342}\cdot t^{46}-\frac{103864175672232756364741332329869623771135}{43105042315160026595792642684}\cdot t^{44}+\frac{1437160484067228024266246969612634793002207}{7837280420938186653780480488}\cdot t^{42}-\frac{170428937370391744498457785627148012370031917}{15674560841876373307560960976}\cdot t^{40}+\frac{31996991364100316192372602828428679314154512735}{62698243367505493230243843904}\cdot t^{38}-\frac{64938495430945622438152534636856269789655914605}{3389094236081378012445613184}\cdot t^{36}+\frac{3926650572873806373621663188062875644714095046475}{6778188472162756024891226368}\cdot t^{34}-\frac{191870972613499965215625551394194120926673241114585}{13556376944325512049782452736}\cdot t^{32}+\frac{1895988582107836655557644895370876367720252226875765}{6778188472162756024891226368}\cdot t^{30}-\frac{60542311118164272822378015804289220488555632197835075}{13556376944325512049782452736}\cdot t^{28}+\frac{1556332039084213692444986753729237680314745492171104825}{27112753888651024099564905472}\cdot t^{26}-\frac{32023803022856493738191620082757772161167259825014356875}{54225507777302048199129810944}\cdot t^{24}+\frac{2092568418723296665665188374595362226170537345056179535375}{433804062218416385593038487552}\cdot t^{22}-\frac{26843483121697259167310635091998895177290782297944183006625}{867608124436832771186076975104}\cdot t^{20}+\frac{266555794341172560669220865795171289995665260033345432729375}{1735216248873665542372153950208}\cdot t^{18}-\frac{2011255148781985789977626803144431527755208218895991939973125}{3470432497747331084744307900416}\cdot t^{16}+\frac{5628104071502535511067214639920082739793862242044080396534375}{3470432497747331084744307900416}\cdot t^{14}-\frac{22630585018856159159540045105096440550729099252067468216980625}{6940864995494662169488615800832}\cdot t^{12}+\frac{62618157183603993313366480311617567687054386365831764146936875}{13881729990989324338977231601664}\cdot t^{10}-\frac{112195876912120778768046832124241809455933320604163067997040625}{27763459981978648677954463203328}\cdot t^8+\frac{237715258737212070573922299215164185846208659844978292590753125}{111053839927914594711817852813312}\cdot t^6-\frac{128184082807685394413441194084258489777143742968145655913046875}{222107679855829189423635705626624}\cdot t^4+\frac{26247463932240818419045155839865800318437451545224077601148125}{444215359711658378847271411253248}\cdot t^2-\frac{848666136225655543176212164056226036888725103337290740429375}{888430719423316757694542822506496}$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

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