Rule: Q[1, 86]

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^{87}-3741\cdot t^{85}+6677685\cdot t^{83}-7574720685\cdot t^{81}+6135523754850\cdot t^{79}-3780709737738570\cdot t^{77}+1843726115437175970\cdot t^{75}-730905710048309045250\cdot t^{73}+240102525750869521364625\cdot t^{71}-66294975165656751176788125\cdot t^{69}+15552801173863073826074494125\cdot t^{67}-3126113035946477839040973319125\cdot t^{65}+541859592897389492100435375315000\cdot t^{63}-81403983456046282928626945230015000\cdot t^{61}+10640663551754621268527664983637675000\cdot t^{59}-1213745022470143799363388985800270795000\cdot t^{57}+121071065991396843986498051333577011801250\cdot t^{55}-10575913705719077254114682719433050736756250\cdot t^{53}+809644949248938247565001821521041328625006250\cdot t^{51}-54331437383810329770809332759964615473520156250\cdot t^{49}+3194688518168047390523588766285919389842985187500\cdot t^{47}-164450394673317106150285688397860898115250808937500\cdot t^{45}+7400267760299269776762855977903740415186286402187500\cdot t^{43}-290540947284793069931167780349872938909270287877187500\cdot t^{41}+9926815698897096555981565828620658746066734835803906250\cdot t^{39}-294230817315309941919293611160316325233418020533227781250\cdot t^{37}+7536835551230631589163444039721948946363707756735757781250\cdot t^{35}-166089524184526881316749970504983689743940967231769477031250\cdot t^{33}+3131973884622506904830142300951121006600029667799081566875000\cdot t^{31}-50219581253429852094690212756630043726517717087123204434375000\cdot t^{29}+679638332963083998348140879306393258432206437912400700011875000\cdot t^{27}-7695259834517499465167659633436904313216272893782343409811875000\cdot t^{25}+72143060948601557485946809063470977936402558379209469466986328125\cdot t^{23}-553096800605945274058925536153277497512419614240605932580228515625\cdot t^{21}+3416186121389661986834540076240831602282591735015507230642587890625\cdot t^{19}-16690509335932348564248752943919491542580662476790049612568072265625\cdot t^{17}+63053035269077761242717511121473634716415836023429076314146050781250\cdot t^{15}-178934289277112565688792936966344098519558453580001432783387441406250\cdot t^{13}+367286172726704740098048660088811570645409457348423993608005800781250\cdot t^{11}-517967679486378479625453238586785548346090260363162042267700488281250\cdot t^9+466170911537740631662907914728106993511481234326845838040930439453125\cdot t^7-238770466885184225973684541690006021066856241972286892655110712890625\cdot t^5+56850111163139101422305843259525243111156248088639736346454931640625\cdot t^3-3966286825335286145742268134385482077522528936416725791613134765625\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.