Rule: Q[1, 62]

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.

• $P_1$:
  $t$
• $P_2$:
  $t^{63}-1953\cdot t^{61}+1786995\cdot t^{59}-1019182815\cdot t^{57}+406653943185\cdot t^{55}-120776221125945\cdot t^{53}+27738272118592035\cdot t^{51}-5052328135886406375\cdot t^{49}+742692235975301737125\cdot t^{47}-89205589676589019759125\cdot t^{45}+8831353377982312956153375\cdot t^{43}-724973827301638963582408875\cdot t^{41}+49539878198945329178131273125\cdot t^{39}-2823773057339883763153482568125\cdot t^{37}+134330918299168756161444242169375\cdot t^{35}-5328459759200360661070621606051875\cdot t^{33}+175839172053611901815330512999711875\cdot t^{31}-4809718529701737314360511090874471875\cdot t^{29}+108485873503272519423909305716390865625\cdot t^{27}-2004133768402560753568008752971220728125\cdot t^{25}+30062006526038411303520131294568310921875\cdot t^{23}-362175602432748479037647296072656317296875\cdot t^{21}+3457130750494417299904815098875355756015625\cdot t^{19}-25703015579762841664509712256855905838203125\cdot t^{17}+145650421618656102765555036122183466416484375\cdot t^{15}-611731770798355631615331151713170558949234375\cdot t^{13}+1835195312395066894845993455139511676847703125\cdot t^{11}-3738360821545506637649245927136042304689765625\cdot t^9+4806463913415651391263316192032054391743984375\cdot t^7-3480542833852713076432056552850798007814609375\cdot t^5+1160180944617571025477352184283599335938203125\cdot t^3-112275575285571389562324404930670903477890625\cdot t$

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.