Rule: Q[1, 76]

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^{77}-2926\cdot t^{75}+\frac{4059825}{2}\cdot t^{73}-889101675\cdot t^{71}+\frac{2209417662375}{8}\cdot t^{69}-\frac{518329383593175}{8}\cdot t^{67}+\frac{382008755708169975}{32}\cdot t^{65}-\frac{3547224160147292625}{2}\cdot t^{63}+\frac{6927728784767662496625}{32}\cdot t^{61}-\frac{704319093118045687156875}{32}\cdot t^{59}+\frac{241017993664995234145082625}{128}\cdot t^{57}-\frac{8742379952030281674898906125}{64}\cdot t^{55}+\frac{4327478076254989429074958531875}{512}\cdot t^{53}-\frac{229356338041514439740972802189375}{512}\cdot t^{51}+\frac{41775618714704415809962903255921875}{2048}\cdot t^{49}-\frac{409401063404103274937636451908034375}{512}\cdot t^{47}+\frac{442562549539835640207585004512585159375}{16384}\cdot t^{45}-\frac{12886380118954037758985563366689979640625}{16384}\cdot t^{43}+\frac{1292933471935055121818218191124561290609375}{65536}\cdot t^{41}-\frac{13950071670878226314354459430554477082890625}{32768}\cdot t^{39}+\frac{2067400621624153139787330887608173503684390625}{262144}\cdot t^{37}-\frac{32783067000040142645199104074929608415566765625}{262144}\cdot t^{35}+\frac{1773265896820353170353951538598465182478384140625}{1048576}\cdot t^{33}-\frac{2544251069350941505290452207554319609642898984375}{131072}\cdot t^{31}+\frac{394358915749395933320020092170919539494649342578125}{2097152}\cdot t^{29}-\frac{3202194395885094978558563148427866660696552661734375}{2097152}\cdot t^{27}+\frac{86459248688897564421081205007552399838806921866828125}{8388608}\cdot t^{25}-\frac{240164579691382123391892236132089999552241449630078125}{4194304}\cdot t^{23}+\frac{8680234094559953888306962248774109983816726679487109375}{33554432}\cdot t^{21}-\frac{31428433790648108905939001245561432700026079356763671875}{33554432}\cdot t^{19}+\frac{358284145213388441527704614199400332780297304667105859375}{134217728}\cdot t^{17}-\frac{196478402213793661482934788431929214750485618688412890625}{33554432}\cdot t^{15}+\frac{20630232232448334455708152785352567548800989962283353515625}{2147483648}\cdot t^{13}-\frac{24381183547438940720382362382689398012219351773607599609375}{2147483648}\cdot t^{11}+\frac{78880299712302455271825290061642170039533196914612822265625}{8589934592}\cdot t^9-\frac{20283505640306345641326503158707986581594250635186154296875}{4294967296}\cdot t^7+\frac{47328179827381473163095174036985302023719918148767693359375}{34359738368}\cdot t^5-\frac{6395699976673172049066915410403419192394583533617255859375}{34359738368}\cdot t^3+\frac{1009847364737869270905302433221592504062302663202724609375}{137438953472}\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.