Rule: Q[1, 78]

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^{79}-3081\cdot t^{77}+4507503\cdot t^{75}-4169440275\cdot t^{73}+2739322260675\cdot t^{71}-1361443163555475\cdot t^{69}+532324276950190725\cdot t^{67}-168138425190981670425\cdot t^{65}+43715990549655234310500\cdot t^{63}-9486369949275185845378500\cdot t^{61}+1736005700717359009704265500\cdot t^{59}-270027795811581933236727115500\cdot t^{57}+35913696842940397120484706361500\cdot t^{55}-4102449216289729978763060688217500\cdot t^{53}+403798215717660565052535544883122500\cdot t^{51}-34322848336001148029465521315065412500\cdot t^{49}+2522729352696084380165715816657307818750\cdot t^{47}-160415907662615718527008164576855867768750\cdot t^{45}+8822874921443864518985449051727072727281250\cdot t^{43}-419318739687568929507571604932081403828156250\cdot t^{41}+17192068327190326109810435802215337556954406250\cdot t^{39}-606634410973715792731882520449598339509676906250\cdot t^{37}+18364478077658850816337898119065113368792946343750\cdot t^{35}-475081063313348531987871712210597498018774046718750\cdot t^{33}+10451783392893667703733177668633144956413029027812500\cdot t^{31}-194403171107822219289437104636576496189282339917312500\cdot t^{29}+3035680287299070039673517864709617594340331923324187500\cdot t^{27}-39463843734887910515755732241225028726424315003214437500\cdot t^{25}+422826897159513326954525702584553879211689089320154687500\cdot t^{23}-3688800171770926611017069060479039015191632399931004687500\cdot t^{21}+25821601202396486277119483423353273106341426799517032812500\cdot t^{19}-142435284051929004947981666625593861328528515571529439062500\cdot t^{17}+605349957220698271028922083158773910646246191179000116015625\cdot t^{15}-1926113500247676316910206628232462442965328790115000369140625\cdot t^{13}+4418730971156433903499885794180355016214577812616765552734375\cdot t^{11}-6943720097531538991214106247997700739765765134112060154296875\cdot t^9+6943720097531538991214106247997700739765765134112060154296875\cdot t^7-3941030325626008616635033275890586906353542373414953060546875\cdot t^5+1037113243585791741219745598918575501671984835109198173828125\cdot t^3-79777941814291672401518892224505807820921910393015244140625\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.