Rule: Q[1, 82]

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^{83}-3403\cdot t^{81}+5512860\cdot t^{79}-5661707220\cdot t^{77}+4141538831430\cdot t^{75}-2298554051443650\cdot t^{73}+1006766674532318700\cdot t^{71}-357402169458973138500\cdot t^{69}+104808186193843872865125\cdot t^{67}-25747877741620978100532375\cdot t^{65}+5355558570257163444910734000\cdot t^{63}-950855080701112746173696682000\cdot t^{61}+145005399806919693791488744005000\cdot t^{59}-19084941466895353544402864691735000\cdot t^{57}+2175683327226070304061926574857790000\cdot t^{55}-215392649395380960102130730910921210000\cdot t^{53}+18550691929177185188796009199703089211250\cdot t^{51}-1391301894688288889159700689977731690843750\cdot t^{49}+90898390452968207425100445078545137135125000\cdot t^{47}-5171640004192559590870188480521436486477375000\cdot t^{45}+255996180207531699748074329785811106080630062500\cdot t^{43}-11007835748923863089167196180789877561467092687500\cdot t^{41}+410292059732616715141686403102168163654682545625000\cdot t^{39}-13218539837472564605216940204291591707309555056875000\cdot t^{37}+366814480489863667794770090669091669877840152828281250\cdot t^{35}-8730184635658755293515528157924381743092595637313093750\cdot t^{33}+177289903370300876729853802591695136936649634480819750000\cdot t^{31}-3053326113599626210347482155745860691686743704947451250000\cdot t^{29}+44273228647194580050038491258314980029457783721738043125000\cdot t^{27}-535858732936734399915983118333398551391023520218277694375000\cdot t^{25}+5358587329367343999159831183333985513910235202182776943750000\cdot t^{23}-43732986913868968767336686754306397903848048585556211831250000\cdot t^{21}+286997726622265107535647006825135736244002818842712640142578125\cdot t^{19}-1487170037951737375411989035366612451446196424912238226193359375\cdot t^{17}+5948680151806949501647956141466449805784785699648952904773437500\cdot t^{15}-17846040455420848504943868424399349417354357098946858714320312500\cdot t^{13}+38666420986745171760711714919531923737601107047718193881027343750\cdot t^{11}-57477112277594174238895792447952859609947591557418936850175781250\cdot t^9+54452001105089217700006540213850077525213507791238992805429687500\cdot t^7-29320308287355732607695829345919272513576504195282534587539062500\cdot t^5+7330077071838933151923957336479818128394126048820633646884765625\cdot t^3-536347102817482913555411512425352545980058003572241486357421875\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.