Rule: Q[1, 88]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{89}-3916\cdot t^{87}+7324878\cdot t^{85}-8716604820\cdot t^{83}+7415651550615\cdot t^{81}-4805342204798520\cdot t^{79}+2467543222164040020\cdot t^{77}-1031433066864568728360\cdot t^{75}+357778345068647277649875\cdot t^{73}-104471276760045005073763500\cdot t^{71}+25961112274871183760830229750\cdot t^{69}-5536797217895254282082519908500\cdot t^{67}+1020154887397200601473704293141125\cdot t^{65}-163224781983552096235792686902580000\cdot t^{63}+22769857086705517424893079822909910000\cdot t^{61}-2777922564578073125836955738395009020000\cdot t^{59}+297064094249567694894189454274616277076250\cdot t^{57}-27889076142488825944183904060134563424335000\cdot t^{55}+2300848781755328140395172084961101482507637500\cdot t^{53}-166872085329412746182344585951389360152396025000\cdot t^{51}+10638095439750062569124467354401071709715246593750\cdot t^{49}-595733344626003503870970171846460015744053809250000\cdot t^{47}+29272170251850444894750852534819239864514643990875000\cdot t^{45}-1259976023883997410687101913455262933298673806563750000\cdot t^{43}+47406597898635402577102209493754267865362601971961093750\cdot t^{41}-1554936411075241204528952471395139985983893344680323875000\cdot t^{39}+44315687715644374329075145434761489600540960323389230437500\cdot t^{37}-1093120296985894566783853587390783410146677021310267684125000\cdot t^{35}+23228806310950259544156888732054147465616886702843188287656250\cdot t^{33}-422924473523508173769477146569813443511921247555213910892500000\cdot t^{31}+6555329339614376693426895771832108374434779337105815618833750000\cdot t^{29}-85853668125272159275203860753672129032920013253708423911177500000\cdot t^{27}+941707422249078997049892347641841165329841395376614274775728203125\cdot t^{25}-8560976565900718154999021342198556048453103594332857043415710937500\cdot t^{23}+63703737387437696859257423516948078831136329687241553881887496093750\cdot t^{21}-382222424324626181155544541101688472986817978123449323291324976562500\cdot t^{19}+1815556515541974360488836570233020246687385396086384285633793638671875\cdot t^{17}-6673396921992121973688696582478128474310389563993196293140430671875000\cdot t^{15}+18439649389715073874666135293689565521120813268928568704730137382812500\cdot t^{13}-36879298779430147749332270587379131042241626537857137409460274765625000\cdot t^{11}+50709035821716453155331872057646305183082236489553563938007877802734375\cdot t^9-44525007062970544233949936440860170404657573503022641506543502460937500\cdot t^7+22262503531485272116974968220430085202328786751511320753271751230468750\cdot t^5-5177326402670993515575574004751182605192741105002632733319011914062500\cdot t^3+352999527454840466971061863960307904899505075341088595453568994140625\cdot t$

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.