Rule: Q[1, 96]

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^{97}-4656\cdot t^{95}+10394520\cdot t^{93}-14822585520\cdot t^{91}+15174621926100\cdot t^{89}-11884763892521520\cdot t^{87}+7410150286987167720\cdot t^{85}-3779176646363455537200\cdot t^{83}+1607567265946854899136450\cdot t^{81}-578724215740867763689122000\cdot t^{79}+178304930869761357992618488200\cdot t^{77}-47429111611356521226036517861200\cdot t^{75}+10967982060126195533520944755402500\cdot t^{73}-2217219758000895527853310985938290000\cdot t^{71}+393556507045158956193962700004046475000\cdot t^{69}-61552237701862860748735766280632868690000\cdot t^{67}+8505749847426174069715923702904954542099375\cdot t^{65}-1040703510743908356765242429531900320445100000\cdot t^{63}+112916330915714056709028803604211184768293350000\cdot t^{61}-10875625556618774935659090031352972006630359500000\cdot t^{59}+930409766368736195745635152182246755167227255225000\cdot t^{57}-70711142244023950876668271565850753392709271397100000\cdot t^{55}+4773002101471616684175108330694925854007875819304250000\cdot t^{53}-285965082427299469164926055639026427253167516478315500000\cdot t^{51}+15191895003950284299386696705823278947824524312910510937500\cdot t^{49}-714626740985821373443150213041927041705665623679310434500000\cdot t^{47}+29711981038679727103540206934550889695531713046051329988250000\cdot t^{45}-1089439304751589993796474254266865955502829478355215432902500000\cdot t^{43}+35134417578238777299936294700106427064966250676955697711105625000\cdot t^{41}-993455945315717151239577988071974834250769846727712831831262500000\cdot t^{39}+24538361849298213635617576305377778405994015214174506946232183750000\cdot t^{37}-527178999730084202623267929657470981238452068794845858909375302500000\cdot t^{35}+9802234526231253142526388067068601057402468154154165189096197030859375\cdot t^{33}-156835752419700050280422209073097616918439490466466643025539152493750000\cdot t^{31}+2144959555151780099423421388793835054913951854909029088437520762046875000\cdot t^{29}-24881530839760649153311688110008486637001841516944737425875240839743750000\cdot t^{27}+242594925687666329244788959072582744710767954790211189902283598187501562500\cdot t^{25}-1966985883954051318200991560047968200357578011812523161369867012331093750000\cdot t^{23}+13095984964220394302759233281371998807643874657593904205962535634730703125000\cdot t^{21}-70516842115032892399472794592003070502697786617813330339798268802396093750000\cdot t^{19}+301459500041765615007746196880813126399033037791151987202637599130243300781250\cdot t^{17}-999963219650734722952523970141233785128499832673089518525822280041782656250000\cdot t^{15}+2499908049126836807381309925353084462821249581682723796314555700104456640625000\cdot t^{13}-4534716926323099325017259864593967165117615520261685025872914990887153906250000\cdot t^{11}+5668396157903874156271574830742458956397019400327106282341143738608942382812500\cdot t^9-4534716926323099325017259864593967165117615520261685025872914990887153906250000\cdot t^7+2070196857669240996203531677314637184075433172293377946594156843665874609375000\cdot t^5-440467416525370424724155676024390890228815568573059137573224860354441406250000\cdot t^3+27529213532835651545259729751524430639300973035816196098326553772152587890625\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.