Rule: Q[1, 74]

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^{75}-2775\cdot t^{73}+1823175\cdot t^{71}-\frac{1510196625}{2}\cdot t^{69}+\frac{1771460641125}{8}\cdot t^{67}-\frac{783339895505475}{16}\cdot t^{65}+\frac{16972364402618625}{2}\cdot t^{63}-\frac{4735289668330596375}{4}\cdot t^{61}+\frac{4332790046522495683125}{32}\cdot t^{59}-\frac{823711529955554457091875}{64}\cdot t^{57}+\frac{65732180090453245675931625}{64}\cdot t^{55}-\frac{8873844312211188166250769375}{128}\cdot t^{53}+\frac{2038026243704502882182260033125}{512}\cdot t^{51}-\frac{199883343132557013444798580171875}{1024}\cdot t^{49}+\frac{4197550205783697282340770183609375}{512}\cdot t^{47}-\frac{302503451496811784147358171232115625}{1024}\cdot t^{45}+\frac{149739208490921833152942294759897234375}{16384}\cdot t^{43}-\frac{7953794427488377372770993656952188390625}{32768}\cdot t^{41}+\frac{181169761959457484602005966630577624453125}{32768}\cdot t^{39}-\frac{7065620716418841899478232698592527353671875}{65536}\cdot t^{37}+\frac{470570339713494870505250297726262321754546875}{262144}\cdot t^{35}-\frac{13332826291882354664315425102244099116378828125}{524288}\cdot t^{33}+\frac{39998478875647063992946275306732297349136484375}{131072}\cdot t^{31}-\frac{808664899007647163335652957288283402928194140625}{262144}\cdot t^{29}+\frac{54719658166184124719045850109840510264807803515625}{2097152}\cdot t^{27}-\frac{768264000653225111055403735542160764117901561359375}{4194304}\cdot t^{25}+\frac{4432292311460914102242713858897081331449432084765625}{4194304}\cdot t^{23}-\frac{41532220548133750661755800233368947290989122868359375}{8388608}\cdot t^{21}+\frac{622983308222006259926337003500534209364836843025390625}{33554432}\cdot t^{19}-\frac{3673453300205623118875987158572115510392658626115234375}{67108864}\cdot t^{17}+\frac{4163247073566372868059452113048397578445013109597265625}{33554432}\cdot t^{15}-\frac{14101320733047391972459434576454249862475044403474609375}{67108864}\cdot t^{13}+\frac{549951508588848286925917948481715744636526731735509765625}{2147483648}\cdot t^{11}-\frac{916585847648080478209863247469526241060877886225849609375}{4294967296}\cdot t^9+\frac{485251331107807311993457013366219774679288292707802734375}{4294967296}\cdot t^7-\frac{291150798664684387196074208019731864807572975624681640625}{8589934592}\cdot t^5+\frac{161750443702602437331152337788739924893096097569267578125}{34359738368}\cdot t^3-\frac{13114900840751548972796135496384318234575359262373046875}{68719476736}\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.