Rule: Q[1, 58]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{59}-1711\cdot t^{57}+1365378\cdot t^{55}-675862110\cdot t^{53}+232834496895\cdot t^{51}-59372796708225\cdot t^{49}+11637068154812100\cdot t^{47}-1797095810764554300\cdot t^{45}+222390606582113594625\cdot t^{43}-22313190860405397327375\cdot t^{41}+1829681650553242580844750\cdot t^{39}-123254009369086613855087250\cdot t^{37}+6840597519984307068957342375\cdot t^{35}-313088886491589438925355285625\cdot t^{33}+11807923719111373125184827915000\cdot t^{31}-366045635292452566880729665365000\cdot t^{29}+9288407995545983884598515258636875\cdot t^{27}-191778306260978843734945815045973125\cdot t^{25}+3196305104349647395582430250766218750\cdot t^{23}-42561325863182146899071308075992281250\cdot t^{21}+446893921563412542440248734797918953125\cdot t^{19}-3638993361302073559870596840497340046875\cdot t^{17}+22495595324412818370109144104892647562500\cdot t^{15}-102697283002754170820063483957118608437500\cdot t^{13}+333766169758951055165206322860635477421875\cdot t^{11}-734285573469692321363453910293398050328125\cdot t^9+1016703101727266291118628491175474223531250\cdot t^7-790769079121207115314488826469813284968750\cdot t^5+282417528257573969755174580882076173203125\cdot t^3-29215606371473169285018060091249259296875\cdot t$

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.