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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{91}-4095\cdot t^{89}+4009005\cdot t^{87}-\frac{4999229235}{2}\cdot t^{85}+\frac{8923624184475}{8}\cdot t^{83}-\frac{6073418619953685}{16}\cdot t^{81}+\frac{819911513693747475}{8}\cdot t^{79}-\frac{360878196241490852925}{16}\cdot t^{77}+\frac{527964801101301117829275}{128}\cdot t^{75}-\frac{162789147006234511330693125}{256}\cdot t^{73}+\frac{21390493916619214788853076625}{256}\cdot t^{71}-\frac{4832307034799886250027263219375}{512}\cdot t^{69}+\frac{1889432050606755523760659918775625}{2048}\cdot t^{67}-\frac{321348789530118189464216852339454375}{4096}\cdot t^{65}+\frac{2983953045636811759310585057437790625}{512}\cdot t^{63}-\frac{388510686541912891062238174478400339375}{1024}\cdot t^{61}+\frac{355487278185850295321947929647736310528125}{16384}\cdot t^{59}-\frac{35778748998587638546814876919251578077271875}{32768}\cdot t^{57}+\frac{1586191205604051975575459543420153294759053125}{32768}\cdot t^{55}-\frac{123973365280106167564713548525206718037747046875}{65536}\cdot t^{53}+\frac{17083529735598629890417526986773485745601543059375}{262144}\cdot t^{51}-\frac{1037214305375631100489635567054104491697236542890625}{524288}\cdot t^{49}+\frac{13860954808201615615634220759723032752681251982265625}{262144}\cdot t^{47}-\frac{651464875985475933934808375706982539376018843166484375}{524288}\cdot t^{45}+\frac{107491704537603529099243381991652118997043109122469921875}{4194304}\cdot t^{43}-\frac{3882600367898239471064670957538474538173197101503613578125}{8388608}\cdot t^{41}+\frac{61225621186087622428327503561183636948115800446787752578125}{8388608}\cdot t^{39}-\frac{1680303159218182526644099264401373147353844745595174987421875}{16777216}\cdot t^{37}+\frac{79934421717093540196069293577951036866975757183313324401640625}{67108864}\cdot t^{35}-\frac{1640033824885195048850387230306236790891399156002463035137109375}{134217728}\cdot t^{33}+\frac{3608074414747429107470851906673720939961078143205418677301640625}{33554432}\cdot t^{31}-\frac{54121116221211436612062778600105814099416172148081280159524609375}{67108864}\cdot t^{29}+\frac{10986586592905921632248744055821480262181482946060499872383495703125}{2147483648}\cdot t^{27}-\frac{116857330124544802815736641321010290061384864062643498642624454296875}{4294967296}\cdot t^{25}+\frac{515547044667109424187073417592692456153168517923427199893931416015625}{4294967296}\cdot t^{23}-\frac{3726668637165105266266559275741462611621475286703630902090418521484375}{8589934592}\cdot t^{21}+\frac{43477800766926228106443191550317063802250545011542360524388216083984375}{34359738368}\cdot t^{19}-\frac{200937944084983378545994209597411294869860626945236314855956350009765625}{68719476736}\cdot t^{17}+\frac{179786581549721970277994819113473263830927929372053544871118839482421875}{34359738368}\cdot t^{15}-\frac{484040796480020689209986051459351094929421348309374928499166106298828125}{68719476736}\cdot t^{13}+\frac{3775518212544161375837891201382938540449486516813124442293495629130859375}{549755813888}\cdot t^{11}-\frac{5064719553412899406611805270147844383529798985968825471369323404931640625}{1099511627776}\cdot t^9+\frac{2170594094319814031405059401491933307227056708272353773443995744970703125}{1099511627776}\cdot t^7-\frac{1060057580946885922314098777472804638413213741249289052147067689404296875}{2199023255552}\cdot t^5+\frac{481844354975857237415499444305820290187824427840585932794121677001953125}{8796093022208}\cdot t^3-\frac{32122956998390482494366629620388019345854961856039062186274778466796875}{17592186044416}\cdot t$

Node locations in the complex plane

Magnitude of the Weights

Quadrature Rule Data

Nodes

Weights

Download

All rules of Hermite (physicists') type can be downloaded here packed into a single file.