Rule: Q[1, 90]

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^{91}-4095\cdot t^{89}+8018010\cdot t^{87}-9998458470\cdot t^{85}+8923624184475\cdot t^{83}-6073418619953685\cdot t^{81}+3279646054774989900\cdot t^{79}-1443512784965963411700\cdot t^{77}+527964801101301117829275\cdot t^{75}-162789147006234511330693125\cdot t^{73}+42780987833238429577706153250\cdot t^{71}-9664614069599772500054526438750\cdot t^{69}+1889432050606755523760659918775625\cdot t^{67}-321348789530118189464216852339454375\cdot t^{65}+47743248730188988148969360919004650000\cdot t^{63}-6216170984670606256995810791654405430000\cdot t^{61}+710974556371700590643895859295472621056250\cdot t^{59}-71557497997175277093629753838503156154543750\cdot t^{57}+6344764822416207902301838173680613179036212500\cdot t^{55}-495893461120424670258854194100826872150988187500\cdot t^{53}+34167059471197259780835053973546971491203086118750\cdot t^{51}-2074428610751262200979271134108208983394473085781250\cdot t^{49}+110887638465612924925073766077784262021450015858125000\cdot t^{47}-5211719007883807471478467005655860315008150745331875000\cdot t^{45}+214983409075207058198486763983304237994086218244939843750\cdot t^{43}-7765200735796478942129341915076949076346394203007227156250\cdot t^{41}+244902484744350489713310014244734547792463201787151010312500\cdot t^{39}-6721212636872730106576397057605492589415378982380699949687500\cdot t^{37}+159868843434187080392138587155902073733951514366626648803281250\cdot t^{35}-3280067649770390097700774460612473581782798312004926070274218750\cdot t^{33}+57729190635958865719533630506779535039377250291286698836826250000\cdot t^{31}-865937859539382985793004457601693025590658754369300482552393750000\cdot t^{29}+10986586592905921632248744055821480262181482946060499872383495703125\cdot t^{27}-116857330124544802815736641321010290061384864062643498642624454296875\cdot t^{25}+1031094089334218848374146835185384912306337035846854399787862832031250\cdot t^{23}-7453337274330210532533118551482925223242950573407261804180837042968750\cdot t^{21}+43477800766926228106443191550317063802250545011542360524388216083984375\cdot t^{19}-200937944084983378545994209597411294869860626945236314855956350009765625\cdot t^{17}+719146326198887881111979276453893055323711717488214179484475357929687500\cdot t^{15}-1936163185920082756839944205837404379717685393237499713996664425195312500\cdot t^{13}+3775518212544161375837891201382938540449486516813124442293495629130859375\cdot t^{11}-5064719553412899406611805270147844383529798985968825471369323404931640625\cdot t^9+4341188188639628062810118802983866614454113416544707546887991489941406250\cdot t^7-2120115161893771844628197554945609276826427482498578104294135378808593750\cdot t^5+481844354975857237415499444305820290187824427840585932794121677001953125\cdot t^3-32122956998390482494366629620388019345854961856039062186274778466796875\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.