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.

• $P_1$:
  $2\cdot t$
• $P_2$:
  $2\cdot t^{93}-4278\cdot t^{91}+\frac{8759205}{2}\cdot t^{89}-2858420565\cdot t^{87}+\frac{10693351333665}{8}\cdot t^{85}-\frac{3817526426118405}{8}\cdot t^{83}+\frac{4330347476026977405}{32}\cdot t^{81}-\frac{250541532541560835575}{8}\cdot t^{79}+\frac{771918461760548934406575}{128}\cdot t^{77}-\frac{125479634395075899004091025}{128}\cdot t^{75}+\frac{69641197089267123947270518875}{512}\cdot t^{73}-\frac{4159478771604409130305157354625}{256}\cdot t^{71}+\frac{3445434915812318896269438675414375}{2048}\cdot t^{69}-\frac{310884242788296158871080889712389375}{2048}\cdot t^{67}+\frac{98195008686417543894851406736298986875}{8192}\cdot t^{65}-\frac{425511704307809356877689429190628943125}{512}\cdot t^{63}+\frac{831024358513151673982127455209298325923125}{16384}\cdot t^{61}-\frac{44728664002325516570214507148029880483509375}{16384}\cdot t^{59}+\frac{8503416011997662094626335747808791723031615625}{65536}\cdot t^{57}-\frac{178571736251950903987153050703984626183663928125}{32768}\cdot t^{55}+\frac{53035805666829418484184456059083433976548186653125}{262144}\cdot t^{53}-\frac{1740079528783117587409670963081356476659128600190625}{262144}\cdot t^{51}+\frac{201691036290770447631575497993520864340035360476640625}{1048576}\cdot t^{49}-\frac{1289068797162750252253982530654242045999356434350703125}{262144}\cdot t^{47}+\frac{464494456577644340895518371879078550575101435177703359375}{4194304}\cdot t^{45}-\frac{9196990240237357949731263763205755301387008416518526515625}{4194304}\cdot t^{43}+\frac{638837091302641094508256244474984387473266815393556111046875}{16777216}\cdot t^{41}-\frac{4850429767297830532377501115458214793778507302062185287578125}{8388608}\cdot t^{39}+\frac{513452636795384632070246903793505308884267701546868471156484375}{67108864}\cdot t^{37}-\frac{5895852691478037326875593757353009236498660159141627617072734375}{67108864}\cdot t^{35}+\frac{233868823428628813966065219041669366381113519645951228810551796875}{268435456}\cdot t^{33}-\frac{248957134617572608415488781560486744857314391881173888733813203125}{33554432}\cdot t^{31}+\frac{115765067597171262913202283425626336358651192224745858261223139453125}{2147483648}\cdot t^{29}-\frac{712130567340174738526668591981883220630490667321921491728130221484375}{2147483648}\cdot t^{27}+\frac{14703401713905960777815333869743588849488366131176143740974923984765625}{8589934592}\cdot t^{25}-\frac{31507289386941344523890001149450547534617927423948879444946265681640625}{4294967296}\cdot t^{23}+\frac{885704912766240018282685587867887614028703959806562944396822801939453125}{34359738368}\cdot t^{21}-\frac{2513486914606897349180594235841302688459835561613219166531524167666015625}{34359738368}\cdot t^{19}+\frac{22621382231462076142625348122571724196138520054518972498783717508994140625}{137438953472}\cdot t^{17}-\frac{9860602511150135754477715848300495162419354895559552114854440965458984375}{34359738368}\cdot t^{15}+\frac{207072652734152850844032032814310398410806452806750594411943260274638671875}{549755813888}\cdot t^{13}-\frac{196971547722730760558957299506295257024913455108860321513799686602705078125}{549755813888}\cdot t^{11}+\frac{515877863083342468130602451087916149350963810999396080155189655388037109375}{2199023255552}\cdot t^9-\frac{107974436459304237515707489762587101026945913930106156311551323220751953125}{1099511627776}\cdot t^7+\frac{206133015058671726166350662274029920142351290230202662049325253421435546875}{8796093022208}\cdot t^5-\frac{22903668339852414018483406919336657793594587803355851338813917046826171875}{8796093022208}\cdot t^3+\frac{2987435000850314871976096554696085799164511452611632783323554397412109375}{35184372088832}\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.