Rule: Q[1, 76]

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^{77}-2926\cdot t^{75}+4059825\cdot t^{73}-3556406700\cdot t^{71}+2209417662375\cdot t^{69}-1036658767186350\cdot t^{67}+382008755708169975\cdot t^{65}-113511173124713364000\cdot t^{63}+27710915139070649986500\cdot t^{61}-5634552744944365497255000\cdot t^{59}+964071974659980936580330500\cdot t^{57}-139878079232484506798382498000\cdot t^{55}+17309912305019957716299834127500\cdot t^{53}-1834850704332115517927782417515000\cdot t^{51}+167102474858817663239851613023687500\cdot t^{49}-13100834028931304798004366461057100000\cdot t^{47}+885125099079671280415170009025170318750\cdot t^{45}-51545520475816151035942253466759918562500\cdot t^{43}+2585866943870110243636436382249122581218750\cdot t^{41}-111600573367025810514835675444435816663125000\cdot t^{39}+4134801243248306279574661775216347007368781250\cdot t^{37}-131132268000160570580796416299718433662267062500\cdot t^{35}+3546531793640706340707903077196930364956768281250\cdot t^{33}-81416034219230128169294470641738227508572767500000\cdot t^{31}+1577435662997583733280080368683678157978597370312500\cdot t^{29}-25617555167080759828468505187422933285572421293875000\cdot t^{27}+345836994755590257684324820030209599355227687467312500\cdot t^{25}-3842633275062113974270275778113439992835863194081250000\cdot t^{23}+34720936378239815553227848995096439935266906717948437500\cdot t^{21}-251427470325184871247512009964491461600208634854109375000\cdot t^{19}+1433136580853553766110818456797601331121189218668423437500\cdot t^{17}-6287308870841397167453913229821734872015539798029212500000\cdot t^{15}+20630232232448334455708152785352567548800989962283353515625\cdot t^{13}-48762367094877881440764724765378796024438703547215199218750\cdot t^{11}+78880299712302455271825290061642170039533196914612822265625\cdot t^9-81134022561225382565306012634831946326377002540744617187500\cdot t^7+47328179827381473163095174036985302023719918148767693359375\cdot t^5-12791399953346344098133830820806838384789167067234511718750\cdot t^3+1009847364737869270905302433221592504062302663202724609375\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.