Rule: Q[1, 92]

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^{93}-4278\cdot t^{91}+8759205\cdot t^{89}-11433682260\cdot t^{87}+10693351333665\cdot t^{85}-7635052852236810\cdot t^{83}+4330347476026977405\cdot t^{81}-2004332260332486684600\cdot t^{79}+771918461760548934406575\cdot t^{77}-250959268790151798008182050\cdot t^{75}+69641197089267123947270518875\cdot t^{73}-16637915086417636521220629418500\cdot t^{71}+3445434915812318896269438675414375\cdot t^{69}-621768485576592317742161779424778750\cdot t^{67}+98195008686417543894851406736298986875\cdot t^{65}-13616374537849899420086061734100126180000\cdot t^{63}+1662048717026303347964254910418596651846250\cdot t^{61}-178914656009302066280858028592119521934037500\cdot t^{59}+17006832023995324189252671495617583446063231250\cdot t^{57}-1428573890015607231897224405631877009469311425000\cdot t^{55}+106071611333658836968368912118166867953096373306250\cdot t^{53}-6960318115132470349638683852325425906636514400762500\cdot t^{51}+403382072581540895263150995987041728680070720953281250\cdot t^{49}-20625100754604004036063720490467872735989702949611250000\cdot t^{47}+928988913155288681791036743758157101150202870355406718750\cdot t^{45}-36787960960949431798925055052823021205548033666074106062500\cdot t^{43}+1277674182605282189016512488949968774946533630787112222093750\cdot t^{41}-38803438138382644259020008923665718350228058416497482300625000\cdot t^{39}+1026905273590769264140493807587010617768535403093736942312968750\cdot t^{37}-23583410765912149307502375029412036945994640636566510468290937500\cdot t^{35}+467737646857257627932130438083338732762227039291902457621103593750\cdot t^{33}-7966628307762323469295641009935575835434060540197564439482022500000\cdot t^{31}+115765067597171262913202283425626336358651192224745858261223139453125\cdot t^{29}-1424261134680349477053337183963766441260981334643842983456260442968750\cdot t^{27}+14703401713905960777815333869743588849488366131176143740974923984765625\cdot t^{25}-126029157547765378095560004597802190138471709695795517779785062726562500\cdot t^{23}+885704912766240018282685587867887614028703959806562944396822801939453125\cdot t^{21}-5026973829213794698361188471682605376919671123226438333063048335332031250\cdot t^{19}+22621382231462076142625348122571724196138520054518972498783717508994140625\cdot t^{17}-78884820089201086035821726786403961299354839164476416918835527723671875000\cdot t^{15}+207072652734152850844032032814310398410806452806750594411943260274638671875\cdot t^{13}-393943095445461521117914599012590514049826910217720643027599373205410156250\cdot t^{11}+515877863083342468130602451087916149350963810999396080155189655388037109375\cdot t^9-431897745837216950062829959050348404107783655720424625246205292883007812500\cdot t^7+206133015058671726166350662274029920142351290230202662049325253421435546875\cdot t^5-45807336679704828036966813838673315587189175606711702677627834093652343750\cdot t^3+2987435000850314871976096554696085799164511452611632783323554397412109375\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.