Rule: Q[1, 66]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{67}-2211\cdot t^{65}+2299440\cdot t^{63}-1496935440\cdot t^{61}+684847963800\cdot t^{59}-234354973212360\cdot t^{57}+62338422874487760\cdot t^{55}-13224651138373474800\cdot t^{53}+2277946158584831034300\cdot t^{51}-322709039132851063192500\cdot t^{49}+37950583002023285031438000\cdot t^{47}-3729507293198833738089498000\cdot t^{45}+307684351688903783392383585000\cdot t^{43}-21372228428852316646409413635000\cdot t^{41}+1251801950832778546432551370050000\cdot t^{39}-61839016371139260193768037680470000\cdot t^{37}+2574049056448671705565594568449563750\cdot t^{35}-90091716975703509694795809895734731250\cdot t^{33}+2642690364620636284380677090274885450000\cdot t^{31}-64676369449926098538790255104095880750000\cdot t^{29}+1312930299833499800337442178613146379225000\cdot t^{27}-21944692154359925234211533556819732338475000\cdot t^{25}+299245802104908071375611821229359986433750000\cdot t^{23}-3291703823153988785131730033522959850771250000\cdot t^{21}+28802408452597401869902637793325898694248437500\cdot t^{19}-197008473815766228790134042506349147068659312500\cdot t^{17}+1030505863036315658286854991571672461589910250000\cdot t^{15}-4007522800696783115559991633889837350627428750000\cdot t^{13}+11163813516226752964774262408693118333890694375000\cdot t^{11}-21172749772154186657330497671659362357378903125000\cdot t^9+25407299726585023988796597205991234828854683750000\cdot t^7-17211396588976951734346081978252126819546721250000\cdot t^5+5378561434055297416983150618203789631108350390625\cdot t^3-488960130368663401543922783473071784646213671875\cdot t$

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.