Rule: Q[1, 98]

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^{99}-4851\cdot t^{97}+11293128\cdot t^{95}-16807938840\cdot t^{93}+17976090589380\cdot t^{91}-14722418192702220\cdot t^{89}+9608831607103648920\cdot t^{87}-5135234148882107229960\cdot t^{85}+2291598238938640351369650\cdot t^{83}-866478756345354790634546550\cdot t^{81}+280739117055894952165593082200\cdot t^{79}-78632474513564758874744753296200\cdot t^{77}+19173218368890873705625262345390100\cdot t^{75}-4092744690282474964085392539112117500\cdot t^{73}+768266646147310300401172256627617485000\cdot t^{71}-127276174378404406433127537181308630015000\cdot t^{69}+18661869068233546093257325139209377875949375\cdot t^{67}-2427140735874374730128937993105407910807298125\cdot t^{65}+280469596145483302148232834758847136359954450000\cdot t^{63}-28829322172217309952394669804422550384789002150000\cdot t^{61}+2637882978757883860644112287104663360208193696725000\cdot t^{59}-214924656031178061217241720154099000443629495956975000\cdot t^{57}+15591806864807281168305353880270091123092394343060550000\cdot t^{55}-1006688399749513588475367413573960231208356765193257250000\cdot t^{53}+57800692285617905204960678996038216608546484268179520437500\cdot t^{51}-2947835306566513165452994628797949047035870697677155542312500\cdot t^{49}+133332858481623826252796987825630310742853228479551342990750000\cdot t^{47}-5338252593282790969602723845907643181963864443940555621222250000\cdot t^{45}+188745359548212966425239164551734526790865207125041073750358125000\cdot t^{43}-5877139988690907195930722951386768196281078690824554813674944375000\cdot t^{41}+160641826357551463355439760671238330698349484215871164907115146250000\cdot t^{39}-3839857849385343043431640730883471066047644122708404296650720108750000\cdot t^{37}+79917041490332452091421022711512241562116593303868664424043112263359375\cdot t^{35}-1440928475355994211951379045859084355438162818660662282797140963536328125\cdot t^{33}+22376771617293086585597886359223427637392646125083226038732071433740625000\cdot t^{31}-297291394344036721780086204486825538611073727090391431657440377619696875000\cdot t^{29}+3352786280657747473408749972823643574335998144408303368136688703155470312500\cdot t^{27}-31806161743537009815310033525975645799782036451008499519350749589393785937500\cdot t^{25}+251101276922660603805079212047176151050910814086909206731716444126793046875000\cdot t^{23}-1628939052857259814427821555075270928612318870871487930849340009335349765625000\cdot t^{21}+8551930027500614025746063164145172375214674072075311636959035049010586269531250\cdot t^{19}-35667805724453780448843336611434743321017299178655568046829146180019762246093750\cdot t^{17}+115495751869659860501016518551312502182341730673741839389732473344825896796875000\cdot t^{15}-282024510379401984944342661578786342538276319087044026416788597702481841015625000\cdot t^{13}+499952541127121700583152900071484879954217111108850774102488877745308718164062500\cdot t^{11}-611053105822037634046075766754037075499598691355262057236375295022043988867187500\cdot t^9+478215474121594670123015817459681189521425062799770305663250230886817034765625000\cdot t^7-213670743756457193033687918439432020849998432314790987636771379757939526171875000\cdot t^5+44514738282595248548684983008215004343749673398914789090994037449570734619140625\cdot t^3-2725392139750729502980713245400918633290796330545803413734328823443106201171875\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.