History of Nodes and weights of Gauss–Kronrod quadrature

who	what
2026-09-10 09:20	bmatschke interactive	the differential operator is upright; d is not a variable	current reviewed
2026-09-06 02:42	bmatschke interactive	the field is named repeats: the numberdb package already uses restating for rewriting an entry in different digits, which is a different thing, and its argument is published
2026-09-05 19:06	bmatschke interactive	says which table states the shared values first: the nodes and weights of the embedded Gauss rule are the Gauss-Legendre nodes and weights, computed the same way. Search folds the repeat into the original rather than answering the same number twice
2026-09-05 11:32	bmatschke interactive	the completeness note is read as part of a sentence and was a noun phrase with a telegraphic appendix; say which rules are here, what n indexes, and that each is listed in full
2026-09-05 11:27	bmatschke interactive	the completeness note is read as part of a sentence and was a noun phrase with a telegraphic appendix; say which rules are here, what n indexes, and that each is listed in full
2026-09-03 02:51	bmatschke interactive	define the Stieltjes polynomial in Formulas, where the first formula uses it and the page draws it before the comment that defined it; drop a comment that restates formula (4) and ends on what a search returns; and say that a hundred digits are written rather than as many as the ball supports -- all
2026-09-03 02:06	zeta3 with claude (agent run 20260903T012415Z) table-build@1.42+4513583d	audit: a shorter Definition; what the nodes are is in the first comment
2026-09-03 01:49	zeta3 with claude (agent run 20260903T0124 table-build@1.42+4513583d	Gauss-Kronrod nodes and weights for n <= 15 and n = 20, 25, 30: Stieltjes polynomials solved exactly over Q, roots isolated over Q[x], weights in ball arithmetic, every rule checked for its degree of exactness with a control before being sent
2026-09-03 01:49	zeta3 table-build@1.42+4513583d	checking that this table can be written to
2026-09-03 01:49	zeta3 with claude (agent run 20260903T012415Z) table-build@1.42+4513583d	draft: nodes and weights of Gauss-Kronrod quadrature, proposal 4 of BATCH-2026-09-02
from line 205 (4338 lines, 4335 more than before) @@ -205,3 +205,4338 @@
 Display properties:   number-header: $x_k$ or $w_k$-Numbers: []+Numbers:+- params:+    n: '1'+    k: '1'+    expression: x+  number: '-0.7745966692414833770358530799564799221665843410583181653175147532226966183873958067038574753717347036'+  comment: $x_1=-\sqrt{3/5}$+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#3,1,x}+- params:+    n: '1'+    k: '1'+    expression: w+  number: 5/9+  comment: $w_1=5/9$+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#3,1,w}+- params:+    n: '1'+    k: '2'+    expression: x+  number: '0'+  comment: $x_2=0$; the Kronrod extension of the midpoint rule is the three-point+    Gauss rule+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#3,2,x}+- params:+    n: '1'+    k: '2'+    expression: w+  number: 8/9+  comment: $w_2=8/9$+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#3,2,w}+- params:+    n: '1'+    k: '3'+    expression: x+  number: '0.7745966692414833770358530799564799221665843410583181653175147532226966183873958067038574753717347036'+  comment: $x_3=\sqrt{3/5}$+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#3,3,x}+- params:+    n: '1'+    k: '3'+    expression: w+  number: 5/9+  comment: $w_3=5/9$+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#3,3,w}+- params:+    n: '2'+    k: '1'+    expression: x+  number: '-0.9258200997725514615665667765839995225293149010083352213873363425442310539777206244857658438008014622'+  comment: $x_1=-\sqrt{6/7}$+- params:+    n: '2'+    k: '1'+    expression: w+  number: 98/495+  comment: $w_1=98/495$+- params:+    n: '2'+    k: '2'+    expression: x+  number: '-0.5773502691896257645091487805019574556476017512701268760186023264839776723029333456937153955857495252'+  comment: $x_2=-1/\sqrt{3}$+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#2,1,x}+- params:+    n: '2'+    k: '2'+    expression: w+  number: 27/55+  comment: $w_2=27/55$+- params:+    n: '2'+    k: '3'+    expression: x+  number: '0'+  comment: $x_3=0$+  equals: HREF{Zero}+- params:+    n: '2'+    k: '3'+    expression: w+  number: 28/45+  comment: $w_3=28/45$+- params:+    n: '2'+    k: '4'+    expression: x+  number: '0.5773502691896257645091487805019574556476017512701268760186023264839776723029333456937153955857495252'+  comment: $x_4=1/\sqrt{3}$+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#2,2,x}+- params:+    n: '2'+    k: '4'+    expression: w+  number: 27/55+  comment: $w_4=27/55$+- params:+    n: '2'+    k: '5'+    expression: x+  number: '0.9258200997725514615665667765839995225293149010083352213873363425442310539777206244857658438008014622'+  comment: $x_5=\sqrt{6/7}$+- params:+    n: '2'+    k: '5'+    expression: w+  number: 98/495+  comment: $w_5=98/495$+- params:+    n: '3'+    k: '1'+    expression: x+  number: '-0.9604912687080202834235070926290799626697822363652913171329795419177186755110607277765769797684345261'+  comment: $x_1=-\tfrac13\sqrt{5+2\sqrt{30/11}}$+- params:+    n: '3'+    k: '1'+    expression: w+  number: '0.1046562260264672651938238571920730382422021606251036520630504326666374903364810422862726982741409519'+  comment: $w_1=(4057614-130977\sqrt{330})/16036300$+- params:+    n: '3'+    k: '2'+    expression: x+  number: '-0.7745966692414833770358530799564799221665843410583181653175147532226966183873958067038574753717347036'+  comment: $x_2=-\sqrt{3/5}$+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#3,1,x}+- params:+    n: '3'+    k: '2'+    expression: w+  number: 12500/46557+  comment: $w_2=12500/46557$+- params:+    n: '3'+    k: '3'+    expression: x+  number: '-0.4342437493468025580020715028446278172828985569550271062941594695509705441342701652634607982329774245'+  comment: $x_3=-\tfrac13\sqrt{5-2\sqrt{30/11}}$+- params:+    n: '3'+    k: '3'+    expression: w+  number: '0.4013974147759622229050518186184318787274230022865405551418534416684647464637783691739768605393010516'+  comment: $w_3=(4057614+130977\sqrt{330})/16036300$+- params:+    n: '3'+    k: '4'+    expression: x+  number: '0'+  comment: $x_4=0$+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#3,2,x}+- params:+    n: '3'+    k: '4'+    expression: w+  number: 22016/48825+  comment: $w_4=22016/48825$+- params:+    n: '3'+    k: '5'+    expression: x+  number: '0.4342437493468025580020715028446278172828985569550271062941594695509705441342701652634607982329774245'+  comment: $x_5=\tfrac13\sqrt{5-2\sqrt{30/11}}$+- params:+    n: '3'+    k: '5'+    expression: w+  number: '0.4013974147759622229050518186184318787274230022865405551418534416684647464637783691739768605393010516'+  comment: $w_5=(4057614+130977\sqrt{330})/16036300$+- params:+    n: '3'+    k: '6'+    expression: x+  number: '0.7745966692414833770358530799564799221665843410583181653175147532226966183873958067038574753717347036'+  comment: $x_6=\sqrt{3/5}$+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#3,3,x}+- params:+    n: '3'+    k: '6'+    expression: w+  number: 12500/46557+  comment: $w_6=12500/46557$+- params:+    n: '3'+    k: '7'+    expression: x+  number: '0.9604912687080202834235070926290799626697822363652913171329795419177186755110607277765769797684345261'+  comment: $x_7=\tfrac13\sqrt{5+2\sqrt{30/11}}$+- params:+    n: '3'+    k: '7'+    expression: w+  number: '0.1046562260264672651938238571920730382422021606251036520630504326666374903364810422862726982741409519'+  comment: $w_7=(4057614-130977\sqrt{330})/16036300$+- params:+    n: '4'+    k: '1'+    expression: x+  number: '-0.9765602507375731115345053593699196268337590533023609391747263402307933234640747912383270108094904064'+- params:+    n: '4'+    k: '1'+    expression: w+  number: '0.06297737366547301476549248855281867632941703873821368398447968870382653638722102093112154538177202385'+- params:+    n: '4'+    k: '2'+    expression: x+  number: '-0.8611363115940525752239464888928095050957253796297176376157219209065294714950488657041623398844793052'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#4,1,x}+- params:+    n: '4'+    k: '2'+    expression: w+  number: '0.1700536053357227268027388532962065872619470485872028155254609757993697849254229770754766808154270869'+- params:+    n: '4'+    k: '3'+    expression: x+  number: '-0.6402862174963099824046890231574920183560098001869829980711768186624953946251243069526088655746852887'+- params:+    n: '4'+    k: '3'+    expression: w+  number: '0.2667983404522844480327706284178556624766503773329987023238987103757181930562850623411383098787853047'+- params:+    n: '4'+    k: '4'+    expression: x+  number: '-0.3399810435848562648026657591032446872005758697709143525929539768210200304632370344778752804355548115'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#4,2,x}+- params:+    n: '4'+    k: '4'+    expression: w+  number: '0.3269491896014516295584594656173191857743738004940775929353781585662612072295567657803660147907940937'+- params:+    n: '4'+    k: '5'+    expression: x+  number: '0'+  comment: $x_{5}=0$, the central node of every rule+  equals: HREF{Zero}+- params:+    n: '4'+    k: '5'+    expression: w+  number: 201344/581175+- params:+    n: '4'+    k: '6'+    expression: x+  number: '0.3399810435848562648026657591032446872005758697709143525929539768210200304632370344778752804355548115'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#4,3,x}+- params:+    n: '4'+    k: '6'+    expression: w+  number: '0.3269491896014516295584594656173191857743738004940775929353781585662612072295567657803660147907940937'+- params:+    n: '4'+    k: '7'+    expression: x+  number: '0.6402862174963099824046890231574920183560098001869829980711768186624953946251243069526088655746852887'+- params:+    n: '4'+    k: '7'+    expression: w+  number: '0.2667983404522844480327706284178556624766503773329987023238987103757181930562850623411383098787853047'+- params:+    n: '4'+    k: '8'+    expression: x+  number: '0.8611363115940525752239464888928095050957253796297176376157219209065294714950488657041623398844793052'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#4,4,x}+- params:+    n: '4'+    k: '8'+    expression: w+  number: '0.1700536053357227268027388532962065872619470485872028155254609757993697849254229770754766808154270869'+- params:+    n: '4'+    k: '9'+    expression: x+  number: '0.9765602507375731115345053593699196268337590533023609391747263402307933234640747912383270108094904064'+- params:+    n: '4'+    k: '9'+    expression: w+  number: '0.06297737366547301476549248855281867632941703873821368398447968870382653638722102093112154538177202385'+- params:+    n: '5'+    k: '1'+    expression: x+  number: '-0.9840853600948424644961729346361394995805528241884719950608016533645331701671188096220348194284127022'+- params:+    n: '5'+    k: '1'+    expression: w+  number: '0.04258203675108183286450945084767009187528571052993374559900656835475405584035607690865649713310590328'+- params:+    n: '5'+    k: '2'+    expression: x+  number: '-0.9061798459386639927976268782993929651256519107625308628737622865437707949166868469411429895535422619'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#5,1,x}+- params:+    n: '5'+    k: '2'+    expression: w+  number: '0.1152333166224733940246268458805735391695962921801944271568656551359490215131267512750627477663138266'+- params:+    n: '5'+    k: '3'+    expression: x+  number: '-0.7541667265708492204408171669461158663862998043714840971052302472871081140430851012111371067697093960'+- params:+    n: '5'+    k: '3'+    expression: w+  number: '0.1868007965564926574678000268784859712873998237470783060412387748327111203590361796662431668289829322'+- params:+    n: '5'+    k: '4'+    expression: x+  number: '-0.5384693101056830910363144207002088049672866069055599562022316270594711853677552910358036672505709316'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#5,2,x}+- params:+    n: '5'+    k: '4'+    expression: w+  number: '0.2410403392286475866999426112232621112960798350994144822297850922744668657684649807520582437477270142'+- params:+    n: '5'+    k: '5'+    expression: x+  number: '-0.2796304131617831934134665227489774362421188153561726461128143950089739910670368919195145582562943315'+- params:+    n: '5'+    k: '5'+    expression: w+  number: '0.2728498019125589223409932644844555182626101274631601015242771158034740386076752304811695827557596808'+- params:+    n: '5'+    k: '6'+    expression: x+  number: '0'+  comment: $x_{6}=0$, the central node of every rule+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#5,3,x}+- params:+    n: '5'+    k: '6'+    expression: w+  number: 118298624/418034925+- params:+    n: '5'+    k: '7'+    expression: x+  number: '0.2796304131617831934134665227489774362421188153561726461128143950089739910670368919195145582562943315'+- params:+    n: '5'+    k: '7'+    expression: w+  number: '0.2728498019125589223409932644844555182626101274631601015242771158034740386076752304811695827557596808'+- params:+    n: '5'+    k: '8'+    expression: x+  number: '0.5384693101056830910363144207002088049672866069055599562022316270594711853677552910358036672505709316'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#5,4,x}+- params:+    n: '5'+    k: '8'+    expression: w+  number: '0.2410403392286475866999426112232621112960798350994144822297850922744668657684649807520582437477270142'+- params:+    n: '5'+    k: '9'+    expression: x+  number: '0.7541667265708492204408171669461158663862998043714840971052302472871081140430851012111371067697093960'+- params:+    n: '5'+    k: '9'+    expression: w+  number: '0.1868007965564926574678000268784859712873998237470783060412387748327111203590361796662431668289829322'+- params:+    n: '5'+    k: '10'+    expression: x+  number: '0.9061798459386639927976268782993929651256519107625308628737622865437707949166868469411429895535422619'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#5,5,x}+- params:+    n: '5'+    k: '10'+    expression: w+  number: '0.1152333166224733940246268458805735391695962921801944271568656551359490215131267512750627477663138266'+- params:+    n: '5'+    k: '11'+    expression: x+  number: '0.9840853600948424644961729346361394995805528241884719950608016533645331701671188096220348194284127022'+- params:+    n: '5'+    k: '11'+    expression: w+  number: '0.04258203675108183286450945084767009187528571052993374559900656835475405584035607690865649713310590328'+- params:+    n: '6'+    k: '1'+    expression: x+  number: '-0.9887032026126788575046459517121850761363052662449377880764957968384380126252193458613107844483535111'+- params:+    n: '6'+    k: '1'+    expression: w+  number: '0.03039615411981976885196454467602788471477518727112560837216200538583129985073337895108841544661912559'+- params:+    n: '6'+    k: '2'+    expression: x+  number: '-0.9324695142031520278123015544939946091347657377122898248725496165266135008442001962762887399219259850'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#6,1,x}+- params:+    n: '6'+    k: '2'+    expression: w+  number: '0.08369444044690662613284560348241110839210934697369541772821800589921374007671640914173390135194135530'+- params:+    n: '6'+    k: '3'+    expression: x+  number: '-0.8213733408650279400456498342439502511175068505980280772179567281190827579951897037702249709424102068'+- params:+    n: '6'+    k: '3'+    expression: w+  number: '0.1373206046344469230871498725337818084362811130970035312786101050647635935233650361862762278369200099'+- params:+    n: '6'+    k: '4'+    expression: x+  number: '-0.6612093864662645136613995950199053470064485643951700708145267058521834966071431009442864037464614564'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#6,2,x}+- params:+    n: '6'+    k: '4'+    expression: w+  number: '0.1810719943231376151869920933155119377662277289718007677981447181545882289678422811529294950061314039'+- params:+    n: '6'+    k: '5'+    expression: x+  number: '-0.4631182124753046121567583640191766343144650077857935038771262347079228332038599312908409298835429967'+- params:+    n: '6'+    k: '5'+    expression: w+  number: '0.2132096522719622791628941635168893046782881023625370002425031822487221749313854987368148576633472526'+- params:+    n: '6'+    k: '6'+    expression: x+  number: '-0.2386191860831969086305017216807119354186106301400213501813951645742749342756398422492244272573491316'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#6,3,x}+- params:+    n: '6'+    k: '6'+    expression: w+  number: '0.2337708641169944066228357259889983727949444403735290659667389723632407501036772472785760615928967388'+- params:+    n: '6'+    k: '7'+    expression: x+  number: '0'+  comment: $x_{7}=0$, the central node of every rule+  equals: HREF{Zero}+- params:+    n: '6'+    k: '7'+    expression: w+  number: 9302400/38587549+- params:+    n: '6'+    k: '8'+    expression: x+  number: '0.2386191860831969086305017216807119354186106301400213501813951645742749342756398422492244272573491316'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#6,4,x}+- params:+    n: '6'+    k: '8'+    expression: w+  number: '0.2337708641169944066228357259889983727949444403735290659667389723632407501036772472785760615928967388'+- params:+    n: '6'+    k: '9'+    expression: x+  number: '0.4631182124753046121567583640191766343144650077857935038771262347079228332038599312908409298835429967'+- params:+    n: '6'+    k: '9'+    expression: w+  number: '0.2132096522719622791628941635168893046782881023625370002425031822487221749313854987368148576633472526'+- params:+    n: '6'+    k: '10'+    expression: x+  number: '0.6612093864662645136613995950199053470064485643951700708145267058521834966071431009442864037464614564'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#6,5,x}+- params:+    n: '6'+    k: '10'+    expression: w+  number: '0.1810719943231376151869920933155119377662277289718007677981447181545882289678422811529294950061314039'+- params:+    n: '6'+    k: '11'+    expression: x+  number: '0.8213733408650279400456498342439502511175068505980280772179567281190827579951897037702249709424102068'+- params:+    n: '6'+    k: '11'+    expression: w+  number: '0.1373206046344469230871498725337818084362811130970035312786101050647635935233650361862762278369200099'+- params:+    n: '6'+    k: '12'+    expression: x+  number: '0.9324695142031520278123015544939946091347657377122898248725496165266135008442001962762887399219259850'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#6,6,x}+- params:+    n: '6'+    k: '12'+    expression: w+  number: '0.08369444044690662613284560348241110839210934697369541772821800589921374007671640914173390135194135530'+- params:+    n: '6'+    k: '13'+    expression: x+  number: '0.9887032026126788575046459517121850761363052662449377880764957968384380126252193458613107844483535111'+- params:+    n: '6'+    k: '13'+    expression: w+  number: '0.03039615411981976885196454467602788471477518727112560837216200538583129985073337895108841544661912559'+- params:+    n: '7'+    k: '1'+    expression: x+  number: '-0.9914553711208126392068546975263285166420443383703347012910874135724417393465340723592450350962684176'+- params:+    n: '7'+    k: '1'+    expression: w+  number: '0.02293532201052922496373200805896959199356081127574699226750743025471181578797607594615636816815628948'+- params:+    n: '7'+    k: '2'+    expression: x+  number: '-0.9491079123427585245261896840478512624007709376706177835487691039130633303548401408057307700279257241'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#7,1,x}+- params:+    n: '7'+    k: '2'+    expression: w+  number: '0.06309209262997855329070066318920428666507115721155070711360554514698399747796487492819917026450444200'+- params:+    n: '7'+    k: '3'+    expression: x+  number: '-0.8648644233597690727897127886409262012109723070740881486014577127670677081325957210358584785960459054'+- params:+    n: '7'+    k: '3'+    expression: w+  number: '0.1047900103222501838398763225415180174437566542138306118933906513396374632157628952416757162750931133'+- params:+    n: '7'+    k: '4'+    expression: x+  number: '-0.7415311855993944398638647732807884070741476471413902601199553519674298746721805137928268323668632471'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#7,2,x}+- params:+    n: '7'+    k: '4'+    expression: w+  number: '0.1406532597155259187451895905102379203998897572479985755617454689331270809309095040809737912241555591'+- params:+    n: '7'+    k: '5'+    expression: x+  number: '-0.5860872354676911302941448382587295984367807506043609513049928931988037360744440746451167449893594210'+- params:+    n: '7'+    k: '5'+    expression: w+  number: '0.1690047266392679028265834265985502841062449003029442414973400675569568092161902911293670240385535991'+- params:+    n: '7'+    k: '6'+    expression: x+  number: '-0.4058451513773971669066064120769614633473820140993701263870432517946638132261256553283126897277465878'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#7,3,x}+- params:+    n: '7'+    k: '6'+    expression: w+  number: '0.1903505780647854099132564024210136828260780754553583558854408803674405807241021267960596460510637759'+- params:+    n: '7'+    k: '7'+    expression: x+  number: '-0.2077849550078984676006894037732449134797844071451706497138457346198669384494352022691034322718369853'+- params:+    n: '7'+    k: '7'+    expression: w+  number: '0.2044329400752988924141619992346490847165176041807183574244709531204546769854659887934837429200934755'+- params:+    n: '7'+    k: '8'+    expression: x+  number: '0'+  comment: $x_{8}=0$, the central node of every rule+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#7,4,x}+- params:+    n: '7'+    k: '8'+    expression: w+  number: 3496355037184/16690468309515+- params:+    n: '7'+    k: '9'+    expression: x+  number: '0.2077849550078984676006894037732449134797844071451706497138457346198669384494352022691034322718369853'+- params:+    n: '7'+    k: '9'+    expression: w+  number: '0.2044329400752988924141619992346490847165176041807183574244709531204546769854659887934837429200934755'+- params:+    n: '7'+    k: '10'+    expression: x+  number: '0.4058451513773971669066064120769614633473820140993701263870432517946638132261256553283126897277465878'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#7,5,x}+- params:+    n: '7'+    k: '10'+    expression: w+  number: '0.1903505780647854099132564024210136828260780754553583558854408803674405807241021267960596460510637759'+- params:+    n: '7'+    k: '11'+    expression: x+  number: '0.5860872354676911302941448382587295984367807506043609513049928931988037360744440746451167449893594210'+- params:+    n: '7'+    k: '11'+    expression: w+  number: '0.1690047266392679028265834265985502841062449003029442414973400675569568092161902911293670240385535991'+- params:+    n: '7'+    k: '12'+    expression: x+  number: '0.7415311855993944398638647732807884070741476471413902601199553519674298746721805137928268323668632471'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#7,6,x}+- params:+    n: '7'+    k: '12'+    expression: w+  number: '0.1406532597155259187451895905102379203998897572479985755617454689331270809309095040809737912241555591'+- params:+    n: '7'+    k: '13'+    expression: x+  number: '0.8648644233597690727897127886409262012109723070740881486014577127670677081325957210358584785960459054'+- params:+    n: '7'+    k: '13'+    expression: w+  number: '0.1047900103222501838398763225415180174437566542138306118933906513396374632157628952416757162750931133'+- params:+    n: '7'+    k: '14'+    expression: x+  number: '0.9491079123427585245261896840478512624007709376706177835487691039130633303548401408057307700279257241'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#7,7,x}+- params:+    n: '7'+    k: '14'+    expression: w+  number: '0.06309209262997855329070066318920428666507115721155070711360554514698399747796487492819917026450444200'+- params:+    n: '7'+    k: '15'+    expression: x+  number: '0.9914553711208126392068546975263285166420443383703347012910874135724417393465340723592450350962684176'+- params:+    n: '7'+    k: '15'+    expression: w+  number: '0.02293532201052922496373200805896959199356081127574699226750743025471181578797607594615636816815628948'+- params:+    n: '8'+    k: '1'+    expression: x+  number: '-0.9933798758817161559358880690196707954694123351161213263786244885745180623751643296018558602024737550'+- params:+    n: '8'+    k: '1'+    expression: w+  number: '0.01782238332071035515278696120274978980090967589535097962891925560361760977514759763492862475836126838'+- params:+    n: '8'+    k: '2'+    expression: x+  number: '-0.9602898564975362316835608685694729904282352343014520382716397773724248977434192844394389592633122683'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#8,1,x}+- params:+    n: '8'+    k: '2'+    expression: w+  number: '0.04943939500213930850036396944699689465826327628242587825569974121581095620535162426153093155119618299'+- params:+    n: '8'+    k: '3'+    expression: x+  number: '-0.8941209068474564219483610175382513245672899093811670433207884536114282821747867724923127979654842894'+- params:+    n: '8'+    k: '3'+    expression: w+  number: '0.08248229893135833068862519344560789547593191478910299786454104780022350316682058893541348789093424132'+- params:+    n: '8'+    k: '4'+    expression: x+  number: '-0.7966664774136267395915539364758304368371717316159648320701702950392173056764730921471519272957259390'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#8,2,x}+- params:+    n: '8'+    k: '4'+    expression: w+  number: '0.1116463708268396132221081589339414845397596388530349347822865976218512393952526374891923500903036891'+- params:+    n: '8'+    k: '5'+    expression: x+  number: '-0.6723540709451586771563107380928310497598795061737575836053834962263344584537084036175044201798814291'+- params:+    n: '8'+    k: '5'+    expression: w+  number: '0.1362631092551722152623387452545062032301192309852634465410113535910128040073110454353275403471292448'+- params:+    n: '8'+    k: '6'+    expression: x+  number: '-0.5255324099163289858177390491892463490419642431203928577508570992724548207685612725239614001936319821'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#8,3,x}+- params:+    n: '8'+    k: '6'+    expression: w+  number: '0.1566526061681884004902480884869687372763250363770561495681940911395305358527731786960836466208921517'+- params:+    n: '8'+    k: '7'+    expression: x+  number: '-0.3607010979281319571925486222968914391823042338828422188456650430092793527610436695842830402507642285'+- params:+    n: '8'+    k: '7'+    expression: w+  number: '0.1720706085552113118572948802038570866070057925848462833692048982598345545157098098621109704517313113'+- params:+    n: '8'+    k: '8'+    expression: x+  number: '-0.1834346424956498049394761423601839806667578129129737823171884736992044742215421141160682237111233537'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#8,4,x}+- params:+    n: '8'+    k: '8'+    expression: w+  number: '0.1814000250680346430617485251725504435592029631271780289270692335685122031664126243310478736646763060'+- params:+    n: '8'+    k: '9'+    expression: x+  number: '0'+  comment: $x_{9}=0$, the central node of every rule+  equals: HREF{Zero}+- params:+    n: '8'+    k: '9'+    expression: w+  number: 687527723008/3727520307225+- params:+    n: '8'+    k: '10'+    expression: x+  number: '0.1834346424956498049394761423601839806667578129129737823171884736992044742215421141160682237111233537'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#8,5,x}+- params:+    n: '8'+    k: '10'+    expression: w+  number: '0.1814000250680346430617485251725504435592029631271780289270692335685122031664126243310478736646763060'+- params:+    n: '8'+    k: '11'+    expression: x+  number: '0.3607010979281319571925486222968914391823042338828422188456650430092793527610436695842830402507642285'+- params:+    n: '8'+    k: '11'+    expression: w+  number: '0.1720706085552113118572948802038570866070057925848462833692048982598345545157098098621109704517313113'+- params:+    n: '8'+    k: '12'+    expression: x+  number: '0.5255324099163289858177390491892463490419642431203928577508570992724548207685612725239614001936319821'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#8,6,x}+- params:+    n: '8'+    k: '12'+    expression: w+  number: '0.1566526061681884004902480884869687372763250363770561495681940911395305358527731786960836466208921517'+- params:+    n: '8'+    k: '13'+    expression: x+  number: '0.6723540709451586771563107380928310497598795061737575836053834962263344584537084036175044201798814291'+- params:+    n: '8'+    k: '13'+    expression: w+  number: '0.1362631092551722152623387452545062032301192309852634465410113535910128040073110454353275403471292448'+- params:+    n: '8'+    k: '14'+    expression: x+  number: '0.7966664774136267395915539364758304368371717316159648320701702950392173056764730921471519272957259390'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#8,7,x}+- params:+    n: '8'+    k: '14'+    expression: w+  number: '0.1116463708268396132221081589339414845397596388530349347822865976218512393952526374891923500903036891'+- params:+    n: '8'+    k: '15'+    expression: x+  number: '0.8941209068474564219483610175382513245672899093811670433207884536114282821747867724923127979654842894'+- params:+    n: '8'+    k: '15'+    expression: w+  number: '0.08248229893135833068862519344560789547593191478910299786454104780022350316682058893541348789093424132'+- params:+    n: '8'+    k: '16'+    expression: x+  number: '0.9602898564975362316835608685694729904282352343014520382716397773724248977434192844394389592633122683'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#8,8,x}+- params:+    n: '8'+    k: '16'+    expression: w+  number: '0.04943939500213930850036396944699689465826327628242587825569974121581095620535162426153093155119618299'+- params:+    n: '8'+    k: '17'+    expression: x+  number: '0.9933798758817161559358880690196707954694123351161213263786244885745180623751643296018558602024737550'+- params:+    n: '8'+    k: '17'+    expression: w+  number: '0.01782238332071035515278696120274978980090967589535097962891925560361760977514759763492862475836126838'+- params:+    n: '9'+    k: '1'+    expression: x+  number: '-0.9946781606773402425263042362754331948771024276522767361747855043445180239944611239571714266452152764'+- params:+    n: '9'+    k: '1'+    expression: w+  number: '0.01430477564383893723193222141644869285568603149552731809061765987022293487345672170324872003626835934'+- params:+    n: '9'+    k: '2'+    expression: x+  number: '-0.9681602395076260898355762029036728700494048004919253295500233118490803743966007530618737492268941116'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#9,1,x}+- params:+    n: '9'+    k: '2'+    expression: w+  number: '0.03963189516026125507820628405408056822267924300210332295958283235449857586934142391832784751167040885'+- params:+    n: '9'+    k: '3'+    expression: x+  number: '-0.9149635072496778539613835957264172115308937407999780835282952693530749885748387431705368886592407317'+- params:+    n: '9'+    k: '3'+    expression: w+  number: '0.06651815594027414323762257382083183242312026595057734300674911339347224239151986797215307925975456271'+- params:+    n: '9'+    k: '4'+    expression: x+  number: '-0.8360311073266357942994297880697348765441067181246759961043719796394550068815901188939461970258575403'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#9,2,x}+- params:+    n: '9'+    k: '4'+    expression: w+  number: '0.09079068168872638685105183330601498905183631167653644208388264543293956126825296350972627002541666607'+- params:+    n: '9'+    k: '5'+    expression: x+  number: '-0.7344867651839337916097817318431993285577767708803940266028036409856275373827494735207165245096120890'+- params:+    n: '9'+    k: '5'+    expression: w+  number: '0.1117891346844182733403397109583932799842533464373497702636211268761178202798987474751254585526701223'+- params:+    n: '9'+    k: '6'+    expression: x+  number: '-0.6133714327005903973087020393414741847857206049405646928728129422812673464910011985832400139035685846'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#9,3,x}+- params:+    n: '9'+    k: '6'+    expression: w+  number: '0.1300014068553411967245726550322585733227473065959336057279782206824247168521555377944268359381204117'+- params:+    n: '9'+    k: '7'+    expression: x+  number: '-0.4754624791124598889553958477113145061269300890130407805487301507698059728103858430254315981950988036'+- params:+    n: '9'+    k: '7'+    expression: w+  number: '0.1452395883843661621706415284882886756292205389210294182243400547098365723714635189243206558281032156'+- params:+    n: '9'+    k: '8'+    expression: x+  number: '-0.3242534234038089290385380146433366085719562607369730888270474768421865795351242491930986016984975672'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#9,4,x}+- params:+    n: '9'+    k: '8'+    expression: w+  number: '0.1564135277884838655771294400482961487228560503385181464584555826986084200162863353533118777212262160'+- params:+    n: '9'+    k: '9'+    expression: x+  number: '-0.1642235636149867614393813701714323989848938043420049970012325806919051592620714589214267704134119523'+- params:+    n: '9'+    k: '9'+    expression: w+  number: '0.1628628274401150631741673119359344883038463303869095960638916227875248658799208676331946298186535814'+- params:+    n: '9'+    k: '10'+    expression: x+  number: '0'+  comment: $x_{10}=0$, the central node of every rule+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#9,5,x}+- params:+    n: '9'+    k: '10'+    expression: w+  number: 644961921847525376/3911325148406751075+- params:+    n: '9'+    k: '11'+    expression: x+  number: '0.1642235636149867614393813701714323989848938043420049970012325806919051592620714589214267704134119523'+- params:+    n: '9'+    k: '11'+    expression: w+  number: '0.1628628274401150631741673119359344883038463303869095960638916227875248658799208676331946298186535814'+- params:+    n: '9'+    k: '12'+    expression: x+  number: '0.3242534234038089290385380146433366085719562607369730888270474768421865795351242491930986016984975672'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#9,6,x}+- params:+    n: '9'+    k: '12'+    expression: w+  number: '0.1564135277884838655771294400482961487228560503385181464584555826986084200162863353533118777212262160'+- params:+    n: '9'+    k: '13'+    expression: x+  number: '0.4754624791124598889553958477113145061269300890130407805487301507698059728103858430254315981950988036'+- params:+    n: '9'+    k: '13'+    expression: w+  number: '0.1452395883843661621706415284882886756292205389210294182243400547098365723714635189243206558281032156'+- params:+    n: '9'+    k: '14'+    expression: x+  number: '0.6133714327005903973087020393414741847857206049405646928728129422812673464910011985832400139035685846'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#9,7,x}+- params:+    n: '9'+    k: '14'+    expression: w+  number: '0.1300014068553411967245726550322585733227473065959336057279782206824247168521555377944268359381204117'+- params:+    n: '9'+    k: '15'+    expression: x+  number: '0.7344867651839337916097817318431993285577767708803940266028036409856275373827494735207165245096120890'+- params:+    n: '9'+    k: '15'+    expression: w+  number: '0.1117891346844182733403397109583932799842533464373497702636211268761178202798987474751254585526701223'+- params:+    n: '9'+    k: '16'+    expression: x+  number: '0.8360311073266357942994297880697348765441067181246759961043719796394550068815901188939461970258575403'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#9,8,x}+- params:+    n: '9'+    k: '16'+    expression: w+  number: '0.09079068168872638685105183330601498905183631167653644208388264543293956126825296350972627002541666607'+- params:+    n: '9'+    k: '17'+    expression: x+  number: '0.9149635072496778539613835957264172115308937407999780835282952693530749885748387431705368886592407317'+- params:+    n: '9'+    k: '17'+    expression: w+  number: '0.06651815594027414323762257382083183242312026595057734300674911339347224239151986797215307925975456271'+- params:+    n: '9'+    k: '18'+    expression: x+  number: '0.9681602395076260898355762029036728700494048004919253295500233118490803743966007530618737492268941116'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#9,9,x}+- params:+    n: '9'+    k: '18'+    expression: w+  number: '0.03963189516026125507820628405408056822267924300210332295958283235449857586934142391832784751167040885'+- params:+    n: '9'+    k: '19'+    expression: x+  number: '0.9946781606773402425263042362754331948771024276522767361747855043445180239944611239571714266452152764'+- params:+    n: '9'+    k: '19'+    expression: w+  number: '0.01430477564383893723193222141644869285568603149552731809061765987022293487345672170324872003626835934'+- params:+    n: '10'+    k: '1'+    expression: x+  number: '-0.9956571630258080807355272806890028479212605872194789243633791611175702304677486735715232599691207672'+- params:+    n: '10'+    k: '1'+    expression: w+  number: '0.01169463886737187427806439606219204839621733248193188892759814752562222205806499265180673670496996725'+- params:+    n: '10'+    k: '2'+    expression: x+  number: '-0.9739065285171717200779640120844520534282699466923821192312120666965952032346361596257235649562685563'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#10,1,x}+- params:+    n: '10'+    k: '2'+    expression: w+  number: '0.03255816230796472747881897245938976061738893984566260957153750423271412182016549869238160760538462649'+- params:+    n: '10'+    k: '3'+    expression: x+  number: '-0.9301574913557082260012071800595083462251679099819392423034940686682841598309167305501119457285100788'+- params:+    n: '10'+    k: '3'+    expression: w+  number: '0.05475589657435199603138130024458017637372111405833355752443261580478409892781897532511630156900329809'+- params:+    n: '10'+    k: '4'+    expression: x+  number: '-0.8650633666889845107320966884234930485275430149653304525219597318453747551380555613567907289460457707'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#10,2,x}+- params:+    n: '10'+    k: '4'+    expression: w+  number: '0.07503967481091995276704314091619000939521938200091008817369704804843040434285849517881380873064655409'+- params:+    n: '10'+    k: '5'+    expression: x+  number: '-0.7808177265864168970637175783450423771634075202981571797469485999950560798276142065452697723423899624'+- params:+    n: '10'+    k: '5'+    expression: w+  number: '0.09312545458369760553506546508336634439001882888076003197008503876017773567220077523741412306161582747'+- params:+    n: '10'+    k: '6'+    expression: x+  number: '-0.6794095682990244062343273651148735757692947118348094676648171889525585753950749246150785735704803795'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#10,3,x}+- params:+    n: '10'+    k: '6'+    expression: w+  number: '0.1093871588022976418992105903258049602718132998343452200781967582982655037289143216868389943267455384'+- params:+    n: '10'+    k: '7'+    expression: x+  number: '-0.5627571346686046833390000992726941408430138819419669588603462145877926635321632754971208785416999242'+- params:+    n: '10'+    k: '7'+    expression: w+  number: '0.1234919762620658510779581098310741595123003495286483276446799412097405423897545468968153862236373823'+- params:+    n: '10'+    k: '8'+    expression: x+  number: '-0.4333953941292471907992659431657841622000718376562464965027015131437669890777035012251027579501177212'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#10,4,x}+- params:+    n: '10'+    k: '8'+    expression: w+  number: '0.1347092173114733259280540017717068327609919130085597140663666849132029140012128203667695315948827177'+- params:+    n: '10'+    k: '9'+    expression: x+  number: '-0.2943928627014601981311266031038655661626866251569579186488822917272461116633273788844552317826823736'+- params:+    n: '10'+    k: '9'+    expression: w+  number: '0.1427759385770600807970942731387170608859790565319055556074100474397077044990934002781113170628375643'+- params:+    n: '10'+    k: '10'+    expression: x+  number: '-0.1488743389816312108848260011297199846175648594206916957079892535159036173556685213711776297994636912'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#10,5,x}+- params:+    n: '10'+    k: '10'+    expression: w+  number: '0.1477391049013384913748415159720680455237316254852066045181919543988599301673569640573270395918288225'+- params:+    n: '10'+    k: '11'+    expression: x+  number: '0'+  comment: $x_{11}=0$, the central node of every rule+  equals: HREF{Zero}+- params:+    n: '10'+    k: '11'+    expression: w+  number: 237005715742720000/1585900077951426237+- params:+    n: '10'+    k: '12'+    expression: x+  number: '0.1488743389816312108848260011297199846175648594206916957079892535159036173556685213711776297994636912'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#10,6,x}+- params:+    n: '10'+    k: '12'+    expression: w+  number: '0.1477391049013384913748415159720680455237316254852066045181919543988599301673569640573270395918288225'+- params:+    n: '10'+    k: '13'+    expression: x+  number: '0.2943928627014601981311266031038655661626866251569579186488822917272461116633273788844552317826823736'+- params:+    n: '10'+    k: '13'+    expression: w+  number: '0.1427759385770600807970942731387170608859790565319055556074100474397077044990934002781113170628375643'+- params:+    n: '10'+    k: '14'+    expression: x+  number: '0.4333953941292471907992659431657841622000718376562464965027015131437669890777035012251027579501177212'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#10,7,x}+- params:+    n: '10'+    k: '14'+    expression: w+  number: '0.1347092173114733259280540017717068327609919130085597140663666849132029140012128203667695315948827177'+- params:+    n: '10'+    k: '15'+    expression: x+  number: '0.5627571346686046833390000992726941408430138819419669588603462145877926635321632754971208785416999242'+- params:+    n: '10'+    k: '15'+    expression: w+  number: '0.1234919762620658510779581098310741595123003495286483276446799412097405423897545468968153862236373823'+- params:+    n: '10'+    k: '16'+    expression: x+  number: '0.6794095682990244062343273651148735757692947118348094676648171889525585753950749246150785735704803795'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#10,8,x}+- params:+    n: '10'+    k: '16'+    expression: w+  number: '0.1093871588022976418992105903258049602718132998343452200781967582982655037289143216868389943267455384'+- params:+    n: '10'+    k: '17'+    expression: x+  number: '0.7808177265864168970637175783450423771634075202981571797469485999950560798276142065452697723423899624'+- params:+    n: '10'+    k: '17'+    expression: w+  number: '0.09312545458369760553506546508336634439001882888076003197008503876017773567220077523741412306161582747'+- params:+    n: '10'+    k: '18'+    expression: x+  number: '0.8650633666889845107320966884234930485275430149653304525219597318453747551380555613567907289460457707'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#10,9,x}+- params:+    n: '10'+    k: '18'+    expression: w+  number: '0.07503967481091995276704314091619000939521938200091008817369704804843040434285849517881380873064655409'+- params:+    n: '10'+    k: '19'+    expression: x+  number: '0.9301574913557082260012071800595083462251679099819392423034940686682841598309167305501119457285100788'+- params:+    n: '10'+    k: '19'+    expression: w+  number: '0.05475589657435199603138130024458017637372111405833355752443261580478409892781897532511630156900329809'+- params:+    n: '10'+    k: '20'+    expression: x+  number: '0.9739065285171717200779640120844520534282699466923821192312120666965952032346361596257235649562685563'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#10,10,x}+- params:+    n: '10'+    k: '20'+    expression: w+  number: '0.03255816230796472747881897245938976061738893984566260957153750423271412182016549869238160760538462649'+- params:+    n: '10'+    k: '21'+    expression: x+  number: '0.9956571630258080807355272806890028479212605872194789243633791611175702304677486735715232599691207672'+- params:+    n: '10'+    k: '21'+    expression: w+  number: '0.01169463886737187427806439606219204839621733248193188892759814752562222205806499265180673670496996725'+- params:+    n: '11'+    k: '1'+    expression: x+  number: '-0.9963696138895426343601645733351607733670255420718933140205778155451740907666856531023195550771640705'+- params:+    n: '11'+    k: '1'+    expression: w+  number: '0.009765441045960758022479172609643522163694469405185463334885137933841331943681209440531842718097720796'+- params:+    n: '11'+    k: '2'+    expression: x+  number: '-0.9782286581460569928039380011228573907714224089197844154258010659836637993808899882003193981673447699'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#11,1,x}+- params:+    n: '11'+    k: '2'+    expression: w+  number: '0.02715655468210426205172140161785167941281344912488029029841290913477031686215645035776794876251809925'+- params:+    n: '11'+    k: '3'+    expression: x+  number: '-0.9416771085780679464553967303521349621887508937383184623824558387012555494696002242409994853810213235'+- params:+    n: '11'+    k: '3'+    expression: w+  number: '0.04582937856442641598526161637154832107049886748562641958315178306865641956835426354672218172246312165'+- params:+    n: '11'+    k: '4'+    expression: x+  number: '-0.8870625997680952990751577693039272666316757512253143849674110555376113138573726674422905951265973742'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#11,2,x}+- params:+    n: '11'+    k: '4'+    expression: w+  number: '0.06309742475037490658454053049537146778131754091445865261757547710038577981517821385824072570472632977'+- params:+    n: '11'+    k: '5'+    expression: x+  number: '-0.8160574566562209423922613551926258792778640464249351554136242461884651368612930405915007300046006812'+- params:+    n: '11'+    k: '5'+    expression: w+  number: '0.07866457193222732928421712412387330212537013927185540580724871403138289435247716931955321947807810388'+- params:+    n: '11'+    k: '6'+    expression: x+  number: '-0.7301520055740493240934162520311534580496430620261303119783783396870132450585192295954234109712837001'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#11,3,x}+- params:+    n: '11'+    k: '6'+    expression: w+  number: '0.09295309859690082776929366791242916193983947355308010256071312793630263264034913019120880758817617144'+- params:+    n: '11'+    k: '7'+    expression: x+  number: '-0.6305995201619650921682633124053903188224253083530672238832869311367449686803443989104621380013137871'+- params:+    n: '11'+    k: '7'+    expression: w+  number: '0.1058720744813893964818918982319811205549624780907203319296467711108833716727290448670096159586632252'+- params:+    n: '11'+    k: '8'+    expression: x+  number: '-0.5190961292068118159257256694586095544802271151199284890209226114866959264510728928255987801045490553'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#11,4,x}+- params:+    n: '11'+    k: '8'+    expression: w+  number: '0.1167395024610472708108110608932828323249092145991439080871545801818431893882677856483659368557917453'+- params:+    n: '11'+    k: '9'+    expression: x+  number: '-0.3979441409523775736750739432982322772591121672889972654041942696693169452294420645881565700703156878'+- params:+    n: '11'+    k: '9'+    expression: w+  number: '0.1251587991003195050600671896097701470444367151101039242536676577243138239173417778670802946348633792'+- params:+    n: '11'+    k: '10'+    expression: x+  number: '-0.2695431559523449723315319854008615246796218624390522816239256318800570662236947357038215922442673013'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#11,5,x}+- params:+    n: '11'+    k: '10'+    expression: w+  number: '0.1312806842298056442559775373399571616706094357653728102145210770767705951932583565796520310145949960'+- params:+    n: '11'+    k: '11'+    expression: x+  number: '-0.1361130007993618157983643559949529343446588487825888943925526812025798286337705000141798233533389557'+- params:+    n: '11'+    k: '11'+    expression: w+  number: '0.1351935727998845331842618531415332171561349328360709052954346192514658780408931811116755405731881397'+- params:+    n: '11'+    k: '12'+    expression: x+  number: '0'+  comment: $x_{12}=0$, the central node of every rule+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#11,6,x}+- params:+    n: '11'+    k: '12'+    expression: w+  number: 3510224158170177077248/25701280106292582482691+- params:+    n: '11'+    k: '13'+    expression: x+  number: '0.1361130007993618157983643559949529343446588487825888943925526812025798286337705000141798233533389557'+- params:+    n: '11'+    k: '13'+    expression: w+  number: '0.1351935727998845331842618531415332171561349328360709052954346192514658780408931811116755405731881397'+- params:+    n: '11'+    k: '14'+    expression: x+  number: '0.2695431559523449723315319854008615246796218624390522816239256318800570662236947357038215922442673013'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#11,7,x}+- params:+    n: '11'+    k: '14'+    expression: w+  number: '0.1312806842298056442559775373399571616706094357653728102145210770767705951932583565796520310145949960'+- params:+    n: '11'+    k: '15'+    expression: x+  number: '0.3979441409523775736750739432982322772591121672889972654041942696693169452294420645881565700703156878'+- params:+    n: '11'+    k: '15'+    expression: w+  number: '0.1251587991003195050600671896097701470444367151101039242536676577243138239173417778670802946348633792'+- params:+    n: '11'+    k: '16'+    expression: x+  number: '0.5190961292068118159257256694586095544802271151199284890209226114866959264510728928255987801045490553'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#11,8,x}+- params:+    n: '11'+    k: '16'+    expression: w+  number: '0.1167395024610472708108110608932828323249092145991439080871545801818431893882677856483659368557917453'+- params:+    n: '11'+    k: '17'+    expression: x+  number: '0.6305995201619650921682633124053903188224253083530672238832869311367449686803443989104621380013137871'+- params:+    n: '11'+    k: '17'+    expression: w+  number: '0.1058720744813893964818918982319811205549624780907203319296467711108833716727290448670096159586632252'+- params:+    n: '11'+    k: '18'+    expression: x+  number: '0.7301520055740493240934162520311534580496430620261303119783783396870132450585192295954234109712837001'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#11,9,x}+- params:+    n: '11'+    k: '18'+    expression: w+  number: '0.09295309859690082776929366791242916193983947355308010256071312793630263264034913019120880758817617144'+- params:+    n: '11'+    k: '19'+    expression: x+  number: '0.8160574566562209423922613551926258792778640464249351554136242461884651368612930405915007300046006812'+- params:+    n: '11'+    k: '19'+    expression: w+  number: '0.07866457193222732928421712412387330212537013927185540580724871403138289435247716931955321947807810388'+- params:+    n: '11'+    k: '20'+    expression: x+  number: '0.8870625997680952990751577693039272666316757512253143849674110555376113138573726674422905951265973742'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#11,10,x}+- params:+    n: '11'+    k: '20'+    expression: w+  number: '0.06309742475037490658454053049537146778131754091445865261757547710038577981517821385824072570472632977'+- params:+    n: '11'+    k: '21'+    expression: x+  number: '0.9416771085780679464553967303521349621887508937383184623824558387012555494696002242409994853810213235'+- params:+    n: '11'+    k: '21'+    expression: w+  number: '0.04582937856442641598526161637154832107049886748562641958315178306865641956835426354672218172246312165'+- params:+    n: '11'+    k: '22'+    expression: x+  number: '0.9782286581460569928039380011228573907714224089197844154258010659836637993808899882003193981673447699'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#11,11,x}+- params:+    n: '11'+    k: '22'+    expression: w+  number: '0.02715655468210426205172140161785167941281344912488029029841290913477031686215645035776794876251809925'+- params:+    n: '11'+    k: '23'+    expression: x+  number: '0.9963696138895426343601645733351607733670255420718933140205778155451740907666856531023195550771640705'+- params:+    n: '11'+    k: '23'+    expression: w+  number: '0.009765441045960758022479172609643522163694469405185463334885137933841331943681209440531842718097720796'+- params:+    n: '12'+    k: '1'+    expression: x+  number: '-0.9969339225295954269123502372583852660991365510837240238787803531658916745551531964435798598486574885'+- params:+    n: '12'+    k: '1'+    expression: w+  number: '0.008257711433168395757693922439211577331315791742950042460194043732860531024100518320331271731941018324'+- params:+    n: '12'+    k: '2'+    expression: x+  number: '-0.9815606342467192506905490901492808229601551998137315104626821218077932443182539822252572678904522358'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#12,1,x}+- params:+    n: '12'+    k: '2'+    expression: w+  number: '0.02303608403898223259108458036796898034480967610739777657562120180147713342782470525872446487476429921'+- params:+    n: '12'+    k: '3'+    expression: x+  number: '-0.9505377959431212965490601951316186347247906585873649733510868795826948234822232103609854139780488460'+- params:+    n: '12'+    k: '3'+    expression: w+  number: '0.03891523046929947711508963228586289496673895692377658876950107537664366183729980227395113359836218984'+- params:+    n: '12'+    k: '4'+    expression: x+  number: '-0.9041172563704748566784658661190961925375967092132975465540757606812347957292357904869694278237332678'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#12,2,x}+- params:+    n: '12'+    k: '4'+    expression: w+  number: '0.05369701760775625122888916332045818473957033402184624215423603304618583157677125793399586856924885817'+- params:+    n: '12'+    k: '5'+    expression: x+  number: '-0.8435581241611532447921418850598392608308772241692436877891385384102030272700034887770181888747909286'+- params:+    n: '12'+    k: '5'+    expression: w+  number: '0.06725090705083993030494094004731607383829331185252386242293224222661194484389855432368767747880144443'+- params:+    n: '12'+    k: '6'+    expression: x+  number: '-0.7699026741943046870368938332128180759849257500189316376644190642491165431084712240164249992234219106'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#12,3,x}+- params:+    n: '12'+    k: '6'+    expression: w+  number: '0.07992027533360170149339260952978335472176635880533618057937917238703748724530826323487852766594462978'+- params:+    n: '12'+    k: '7'+    expression: x+  number: '-0.6840598954700558939449291003411544833088924958324662931959967019704951839843424312236994765784675397'+- params:+    n: '12'+    k: '7'+    expression: w+  number: '0.09154946829504921052817193973961417194826372089348634808716607015222671885645194975284598442107495439'+- params:+    n: '12'+    k: '8'+    expression: x+  number: '-0.5873179542866174472967024189405342803690985140480524815102708796673406993758952624357107649887482019'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#12,4,x}+- params:+    n: '12'+    k: '8'+    expression: w+  number: '0.1016497322790602777156887704912275146117757204528510417841015228945478634410795276993067213817610496'+- params:+    n: '12'+    k: '9'+    expression: x+  number: '-0.4813394504781570929359436150188322625614475139251727657515164337206366365964848967341909860542340262'+- params:+    n: '12'+    k: '9'+    expression: w+  number: '0.1100226049776440726359073987422496062680322556942200166406642296380487549808531731409438002807274943'+- params:+    n: '12'+    k: '10'+    expression: x+  number: '-0.3678314989981801937526915366437175612563601413354096213117998795040899295167878738787344285005465772'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#12,5,x}+- params:+    n: '12'+    k: '10'+    expression: w+  number: '0.1167120535017568262935807453057300497193680342866879394062702316642637422296928448365004244309650951'+- params:+    n: '12'+    k: '11'+    expression: x+  number: '-0.2485057483204692762677909603627180986780297376704472980771153491885443852558553240122334147120484977'+- params:+    n: '12'+    k: '11'+    expression: w+  number: '0.1216263035239483832460997580913096286010507357848945833726692110755175584116491420104412513445092658'+- params:+    n: '12'+    k: '12'+    expression: x+  number: '-0.1252334085114689154724413694638531299833969163054442732129217547484620562413896887428682984694913596'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#12,6,x}+- params:+    n: '12'+    k: '12'+    expression: w+  number: '0.1245841645361560734373124732092289926973821693872056024791044425753511455594869449034639161633610799'+- params:+    n: '12'+    k: '13'+    expression: x+  number: '0'+  comment: $x_{13}=0$, the central node of every rule+  equals: HREF{Zero}+- params:+    n: '12'+    k: '13'+    expression: w+  number: 234860696567318732341248/1870551980555794105986325+- params:+    n: '12'+    k: '14'+    expression: x+  number: '0.1252334085114689154724413694638531299833969163054442732129217547484620562413896887428682984694913596'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#12,7,x}+- params:+    n: '12'+    k: '14'+    expression: w+  number: '0.1245841645361560734373124732092289926973821693872056024791044425753511455594869449034639161633610799'+- params:+    n: '12'+    k: '15'+    expression: x+  number: '0.2485057483204692762677909603627180986780297376704472980771153491885443852558553240122334147120484977'+- params:+    n: '12'+    k: '15'+    expression: w+  number: '0.1216263035239483832460997580913096286010507357848945833726692110755175584116491420104412513445092658'+- params:+    n: '12'+    k: '16'+    expression: x+  number: '0.3678314989981801937526915366437175612563601413354096213117998795040899295167878738787344285005465772'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#12,8,x}+- params:+    n: '12'+    k: '16'+    expression: w+  number: '0.1167120535017568262935807453057300497193680342866879394062702316642637422296928448365004244309650951'+- params:+    n: '12'+    k: '17'+    expression: x+  number: '0.4813394504781570929359436150188322625614475139251727657515164337206366365964848967341909860542340262'+- params:+    n: '12'+    k: '17'+    expression: w+  number: '0.1100226049776440726359073987422496062680322556942200166406642296380487549808531731409438002807274943'+- params:+    n: '12'+    k: '18'+    expression: x+  number: '0.5873179542866174472967024189405342803690985140480524815102708796673406993758952624357107649887482019'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#12,9,x}+- params:+    n: '12'+    k: '18'+    expression: w+  number: '0.1016497322790602777156887704912275146117757204528510417841015228945478634410795276993067213817610496'+- params:+    n: '12'+    k: '19'+    expression: x+  number: '0.6840598954700558939449291003411544833088924958324662931959967019704951839843424312236994765784675397'+- params:+    n: '12'+    k: '19'+    expression: w+  number: '0.09154946829504921052817193973961417194826372089348634808716607015222671885645194975284598442107495439'+- params:+    n: '12'+    k: '20'+    expression: x+  number: '0.7699026741943046870368938332128180759849257500189316376644190642491165431084712240164249992234219106'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#12,10,x}+- params:+    n: '12'+    k: '20'+    expression: w+  number: '0.07992027533360170149339260952978335472176635880533618057937917238703748724530826323487852766594462978'+- params:+    n: '12'+    k: '21'+    expression: x+  number: '0.8435581241611532447921418850598392608308772241692436877891385384102030272700034887770181888747909286'+- params:+    n: '12'+    k: '21'+    expression: w+  number: '0.06725090705083993030494094004731607383829331185252386242293224222661194484389855432368767747880144443'+- params:+    n: '12'+    k: '22'+    expression: x+  number: '0.9041172563704748566784658661190961925375967092132975465540757606812347957292357904869694278237332678'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#12,11,x}+- params:+    n: '12'+    k: '22'+    expression: w+  number: '0.05369701760775625122888916332045818473957033402184624215423603304618583157677125793399586856924885817'+- params:+    n: '12'+    k: '23'+    expression: x+  number: '0.9505377959431212965490601951316186347247906585873649733510868795826948234822232103609854139780488460'+- params:+    n: '12'+    k: '23'+    expression: w+  number: '0.03891523046929947711508963228586289496673895692377658876950107537664366183729980227395113359836218984'+- params:+    n: '12'+    k: '24'+    expression: x+  number: '0.9815606342467192506905490901492808229601551998137315104626821218077932443182539822252572678904522358'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#12,12,x}+- params:+    n: '12'+    k: '24'+    expression: w+  number: '0.02303608403898223259108458036796898034480967610739777657562120180147713342782470525872446487476429921'+- params:+    n: '12'+    k: '25'+    expression: x+  number: '0.9969339225295954269123502372583852660991365510837240238787803531658916745551531964435798598486574885'+- params:+    n: '12'+    k: '25'+    expression: w+  number: '0.008257711433168395757693922439211577331315791742950042460194043732860531024100518320331271731941018324'+- params:+    n: '13'+    k: '1'+    expression: x+  number: '-0.9973661769948249447836087361473290562933529894187991366905204221515036279972401839353866307342726424'+- params:+    n: '13'+    k: '1'+    expression: w+  number: '0.007087846351248645045178045006627245190242800695162386898032614075416549606334805043020804372799208990'+- params:+    n: '13'+    k: '2'+    expression: x+  number: '-0.9841830547185881494728294488071096110649905619258749086940073204285952378756268418605692872614185884'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#13,1,x}+- params:+    n: '13'+    k: '2'+    expression: w+  number: '0.01975374638270591561563638859871553771949659908639615866215071124491315864818051930869570857034281409'+- params:+    n: '13'+    k: '3'+    expression: x+  number: '-0.9575524683860811822644890950135119114293779240073167388835495363654570408778270149276678559620277429'+- params:+    n: '13'+    k: '3'+    expression: w+  number: '0.03344358998955241519719568699503724826232703851040721229388012734638042311474733246590758411513644131'+- params:+    n: '13'+    k: '4'+    expression: x+  number: '-0.9175983992229779652065478365007195123904747901116832958952853456596592085896099142834853903405829245'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#13,2,x}+- params:+    n: '13'+    k: '4'+    expression: w+  number: '0.04627901797383071573696863287899217370376381432204749903261056393140601990627718807205897509496852208'+- params:+    n: '13'+    k: '5'+    expression: x+  number: '-0.8653331602663444620846168909584260321640877229879270500825820278847596946059082011982702912131657332'+- params:+    n: '13'+    k: '5'+    expression: w+  number: '0.05811521042311458463304700969225037287351994639623725092518192311308419596352169575686468065110761626'+- params:+    n: '13'+    k: '6'+    expression: x+  number: '-0.8015780907333099127942064895828598903056157247905000298973847138592221162266401220300298741853170603'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#13,3,x}+- params:+    n: '13'+    k: '6'+    expression: w+  number: '0.06930363324778149775245320873890761840542825465871165050817056952161099767379467408955430493831710005'+- params:+    n: '13'+    k: '7'+    expression: x+  number: '-0.7269488493206320380657037153090094916179807600574958963785236703217725600373888178678925259937536643'+- params:+    n: '13'+    k: '7'+    expression: w+  number: '0.07980596216947628980439178482293905295319653166504194983098060439687011255971613095090874475907133975'+- params:+    n: '13'+    k: '8'+    expression: x+  number: '-0.6423493394403402206439846069955156500716973982615768573891424079186435531449935749143883001141915551'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#13,4,x}+- params:+    n: '13'+    k: '8'+    expression: w+  number: '0.08916844187753961022682206914031715174510461374356474884928112694802882093925495259999766742427515128'+- params:+    n: '13'+    k: '9'+    expression: x+  number: '-0.5490799579565368579439904908194850636145706005218892945120240416208573882565025480965337877241659534'+- params:+    n: '13'+    k: '9'+    expression: w+  number: '0.09714173487607860843750247795288621600899951619128694430445507614644003930303892977173788435151339669'+- params:+    n: '13'+    k: '10'+    expression: x+  number: '-0.4484927510364468528779128521276398678019216674417578789582829474582440920662171436450382085547330101'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#13,5,x}+- params:+    n: '13'+    k: '10'+    expression: w+  number: '0.1038306011690399633519673575622429637629065209837617773183690603672817130346781714889745536790836127'+- params:+    n: '13'+    k: '11'+    expression: x+  number: '-0.3418324630218063763201496321542144086679330988729366378087112819818243024284863820965309511615993973'+- params:+    n: '13'+    k: '11'+    expression: w+  number: '0.1092663510952850190520479720739638184085283062210924424013792433913533944445055130811371712083701498'+- params:+    n: '13'+    k: '12'+    expression: x+  number: '-0.2304583159551347940655281210979888352115423758835311634692614978371620836885819508128029447646801293'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#13,6,x}+- params:+    n: '13'+    k: '12'+    expression: w+  number: '0.1132102591715298668829737874987394055846196949793066464427568016000783158923129425176802832779499221'+- params:+    n: '13'+    k: '13'+    expression: x+  number: '-0.1159710897449335503122815172191185966438141609731023762733290048578012465789051627060177124313903828'+- params:+    n: '13'+    k: '13'+    expression: w+  number: '0.1154887990912864256525380886836510685512887873915378603966715338674260611926737473575752238121670521'+- params:+    n: '13'+    k: '14'+    expression: x+  number: '0'+  comment: $x_{14}=0$, the central node of every rule+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#13,7,x}+- params:+    n: '13'+    k: '14'+    expression: w+  number: 367330563065503421462485139456/3160930972886244765355667644125+- params:+    n: '13'+    k: '15'+    expression: x+  number: '0.1159710897449335503122815172191185966438141609731023762733290048578012465789051627060177124313903828'+- params:+    n: '13'+    k: '15'+    expression: w+  number: '0.1154887990912864256525380886836510685512887873915378603966715338674260611926737473575752238121670521'+- params:+    n: '13'+    k: '16'+    expression: x+  number: '0.2304583159551347940655281210979888352115423758835311634692614978371620836885819508128029447646801293'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#13,8,x}+- params:+    n: '13'+    k: '16'+    expression: w+  number: '0.1132102591715298668829737874987394055846196949793066464427568016000783158923129425176802832779499221'+- params:+    n: '13'+    k: '17'+    expression: x+  number: '0.3418324630218063763201496321542144086679330988729366378087112819818243024284863820965309511615993973'+- params:+    n: '13'+    k: '17'+    expression: w+  number: '0.1092663510952850190520479720739638184085283062210924424013792433913533944445055130811371712083701498'+- params:+    n: '13'+    k: '18'+    expression: x+  number: '0.4484927510364468528779128521276398678019216674417578789582829474582440920662171436450382085547330101'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#13,9,x}+- params:+    n: '13'+    k: '18'+    expression: w+  number: '0.1038306011690399633519673575622429637629065209837617773183690603672817130346781714889745536790836127'+- params:+    n: '13'+    k: '19'+    expression: x+  number: '0.5490799579565368579439904908194850636145706005218892945120240416208573882565025480965337877241659534'+- params:+    n: '13'+    k: '19'+    expression: w+  number: '0.09714173487607860843750247795288621600899951619128694430445507614644003930303892977173788435151339669'+- params:+    n: '13'+    k: '20'+    expression: x+  number: '0.6423493394403402206439846069955156500716973982615768573891424079186435531449935749143883001141915551'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#13,10,x}+- params:+    n: '13'+    k: '20'+    expression: w+  number: '0.08916844187753961022682206914031715174510461374356474884928112694802882093925495259999766742427515128'+- params:+    n: '13'+    k: '21'+    expression: x+  number: '0.7269488493206320380657037153090094916179807600574958963785236703217725600373888178678925259937536643'+- params:+    n: '13'+    k: '21'+    expression: w+  number: '0.07980596216947628980439178482293905295319653166504194983098060439687011255971613095090874475907133975'+- params:+    n: '13'+    k: '22'+    expression: x+  number: '0.8015780907333099127942064895828598903056157247905000298973847138592221162266401220300298741853170603'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#13,11,x}+- params:+    n: '13'+    k: '22'+    expression: w+  number: '0.06930363324778149775245320873890761840542825465871165050817056952161099767379467408955430493831710005'+- params:+    n: '13'+    k: '23'+    expression: x+  number: '0.8653331602663444620846168909584260321640877229879270500825820278847596946059082011982702912131657332'+- params:+    n: '13'+    k: '23'+    expression: w+  number: '0.05811521042311458463304700969225037287351994639623725092518192311308419596352169575686468065110761626'+- params:+    n: '13'+    k: '24'+    expression: x+  number: '0.9175983992229779652065478365007195123904747901116832958952853456596592085896099142834853903405829245'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#13,12,x}+- params:+    n: '13'+    k: '24'+    expression: w+  number: '0.04627901797383071573696863287899217370376381432204749903261056393140601990627718807205897509496852208'+- params:+    n: '13'+    k: '25'+    expression: x+  number: '0.9575524683860811822644890950135119114293779240073167388835495363654570408778270149276678559620277429'+- params:+    n: '13'+    k: '25'+    expression: w+  number: '0.03344358998955241519719568699503724826232703851040721229388012734638042311474733246590758411513644131'+- params:+    n: '13'+    k: '26'+    expression: x+  number: '0.9841830547185881494728294488071096110649905619258749086940073204285952378756268418605692872614185884'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#13,13,x}+- params:+    n: '13'+    k: '26'+    expression: w+  number: '0.01975374638270591561563638859871553771949659908639615866215071124491315864818051930869570857034281409'+- params:+    n: '13'+    k: '27'+    expression: x+  number: '0.9973661769948249447836087361473290562933529894187991366905204221515036279972401839353866307342726424'+- params:+    n: '13'+    k: '27'+    expression: w+  number: '0.007087846351248645045178045006627245190242800695162386898032614075416549606334805043020804372799208990'+- params:+    n: '14'+    k: '1'+    expression: x+  number: '-0.9977205937565431220161858742705826785441030166985389559875712717808293321182295133969544806355475937'+- params:+    n: '14'+    k: '1'+    expression: w+  number: '0.006139558686378131376066151763667321002996025013661071821872412059995319239359861487396429496470427470'+- params:+    n: '14'+    k: '2'+    expression: x+  number: '-0.9862838086968123388415972667040528016760914072392258816440708117777495541324916379106462396651517528'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#14,1,x}+- params:+    n: '14'+    k: '2'+    expression: w+  number: '0.01714845890993550645296678149021035251760784275790161375078491458376003606314818735814554833839341814'+- params:+    n: '14'+    k: '3'+    expression: x+  number: '-0.9631583382788532040076698240230578032090304427838928709413034904129736653268462940906153268103982332'+- params:+    n: '14'+    k: '3'+    expression: w+  number: '0.02904870126150850553510391500429234364133708192761640041596289741754471144818288116772784550800118081'+- params:+    n: '14'+    k: '4'+    expression: x+  number: '-0.9284348836635735173363911393778742644770392104098376187179624474821310935443598531114139056836575176'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#14,2,x}+- params:+    n: '14'+    k: '4'+    expression: w+  number: '0.04025059487268861216681661622513682419109763521659967149471864112229635913924082887625391122901272943'+- params:+    n: '14'+    k: '5'+    expression: x+  number: '-0.8829146632520570399351806244578696865379255472310041230619498428081933597445351141873858893187174446'+- params:+    n: '14'+    k: '5'+    expression: w+  number: '0.05069154326046537607003655156203169477519059626072928971263801432651397473392807668691027244355651430'+- params:+    n: '14'+    k: '6'+    expression: x+  number: '-0.8272013150697649931897947426503949610397011014750811815607090542414798308100288735704263901378895454'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#14,3,x}+- params:+    n: '14'+    k: '6'+    expression: w+  number: '0.06066712586674214967354827414230320947616370246546390271460317306225610926237579555584073364821811252'+- params:+    n: '14'+    k: '7'+    expression: x+  number: '-0.7617567525622055250576531387931963639746425008877642287723659942058399541698564341798454598760743513'+- params:+    n: '14'+    k: '7'+    expression: w+  number: '0.07010297900274698266320741349274302503752878280927575090410370130043114919448085791272341921003028859'+- params:+    n: '14'+    k: '8'+    expression: x+  number: '-0.6872929048116854701480198030193341375384012127471706756192664886281848961831332569473730705052118384'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#14,4,x}+- params:+    n: '14'+    k: '8'+    expression: w+  number: '0.07865579724962168225002901306436711780064955624222741771112190601609643683176104148920886712683904502'+- params:+    n: '14'+    k: '9'+    expression: x+  number: '-0.6047893659409215924120259116228219499824260323144694771363631790932779544349207580787617299959748681'+- params:+    n: '14'+    k: '9'+    expression: w+  number: '0.08618376286945813800926821516534004129094724577313583496159166444445719711503170691587964422771011566'+- params:+    n: '14'+    k: '10'+    expression: x+  number: '-0.5152486363581540919652907185511886623088852825693060369515047690927849518320556604520720203507728924'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#14,5,x}+- params:+    n: '14'+    k: '10'+    expression: w+  number: '0.09273683001785357143548802186791187943445500463107906363218594261636405918479039620614174663855575786'+- params:+    n: '14'+    k: '11'+    expression: x+  number: '-0.4196558976429790001573570757058000559807797057054098434609389711638140026674651463550475721084430113'+- params:+    n: '14'+    k: '11'+    expression: w+  number: '0.09826492647210373747161166832695497929386278948174508741284566676503124179688607159669200983509633193'+- params:+    n: '14'+    k: '12'+    expression: x+  number: '-0.3191123689278897604356718241684754668342612035338439565966501872573334405127927831649337054213464132'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#14,6,x}+- params:+    n: '14'+    k: '12'+    expression: w+  number: '0.1026166273213997903286759816166735395394129963186054981910530262630322957049380688306857836471893408'+- params:+    n: '14'+    k: '13'+    expression: x+  number: '-0.2148359185334849021050969526379601327244052594548632127257637959038847596659004939369514401804538062'+- params:+    n: '14'+    k: '13'+    expression: w+  number: '0.1057316398417643357016849237903892098862576975931755990835556053570617500999398264933204824074318277'+- params:+    n: '14'+    k: '14'+    expression: x+  number: '-0.1080549487073436620662446502198347476119516054742375570408210613080135290117300071301006881766893672'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#14,7,x}+- params:+    n: '14'+    k: '14'+    expression: w+  number: '0.1076264211141186523632943351668680678017301649366209071060049604795749491318378085746307718697661475'+- params:+    n: '14'+    k: '15'+    expression: x+  number: '0'+  comment: $x_{15}=0$, the central node of every rule+  equals: HREF{Zero}+- params:+    n: '14'+    k: '15'+    expression: w+  number: 11157509282664595051249664/103052576235390068155503375+- params:+    n: '14'+    k: '16'+    expression: x+  number: '0.1080549487073436620662446502198347476119516054742375570408210613080135290117300071301006881766893672'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#14,8,x}+- params:+    n: '14'+    k: '16'+    expression: w+  number: '0.1076264211141186523632943351668680678017301649366209071060049604795749491318378085746307718697661475'+- params:+    n: '14'+    k: '17'+    expression: x+  number: '0.2148359185334849021050969526379601327244052594548632127257637959038847596659004939369514401804538062'+- params:+    n: '14'+    k: '17'+    expression: w+  number: '0.1057316398417643357016849237903892098862576975931755990835556053570617500999398264933204824074318277'+- params:+    n: '14'+    k: '18'+    expression: x+  number: '0.3191123689278897604356718241684754668342612035338439565966501872573334405127927831649337054213464132'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#14,9,x}+- params:+    n: '14'+    k: '18'+    expression: w+  number: '0.1026166273213997903286759816166735395394129963186054981910530262630322957049380688306857836471893408'+- params:+    n: '14'+    k: '19'+    expression: x+  number: '0.4196558976429790001573570757058000559807797057054098434609389711638140026674651463550475721084430113'+- params:+    n: '14'+    k: '19'+    expression: w+  number: '0.09826492647210373747161166832695497929386278948174508741284566676503124179688607159669200983509633193'+- params:+    n: '14'+    k: '20'+    expression: x+  number: '0.5152486363581540919652907185511886623088852825693060369515047690927849518320556604520720203507728924'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#14,10,x}+- params:+    n: '14'+    k: '20'+    expression: w+  number: '0.09273683001785357143548802186791187943445500463107906363218594261636405918479039620614174663855575786'+- params:+    n: '14'+    k: '21'+    expression: x+  number: '0.6047893659409215924120259116228219499824260323144694771363631790932779544349207580787617299959748681'+- params:+    n: '14'+    k: '21'+    expression: w+  number: '0.08618376286945813800926821516534004129094724577313583496159166444445719711503170691587964422771011566'+- params:+    n: '14'+    k: '22'+    expression: x+  number: '0.6872929048116854701480198030193341375384012127471706756192664886281848961831332569473730705052118384'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#14,11,x}+- params:+    n: '14'+    k: '22'+    expression: w+  number: '0.07865579724962168225002901306436711780064955624222741771112190601609643683176104148920886712683904502'+- params:+    n: '14'+    k: '23'+    expression: x+  number: '0.7617567525622055250576531387931963639746425008877642287723659942058399541698564341798454598760743513'+- params:+    n: '14'+    k: '23'+    expression: w+  number: '0.07010297900274698266320741349274302503752878280927575090410370130043114919448085791272341921003028859'+- params:+    n: '14'+    k: '24'+    expression: x+  number: '0.8272013150697649931897947426503949610397011014750811815607090542414798308100288735704263901378895454'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#14,12,x}+- params:+    n: '14'+    k: '24'+    expression: w+  number: '0.06066712586674214967354827414230320947616370246546390271460317306225610926237579555584073364821811252'+- params:+    n: '14'+    k: '25'+    expression: x+  number: '0.8829146632520570399351806244578696865379255472310041230619498428081933597445351141873858893187174446'+- params:+    n: '14'+    k: '25'+    expression: w+  number: '0.05069154326046537607003655156203169477519059626072928971263801432651397473392807668691027244355651430'+- params:+    n: '14'+    k: '26'+    expression: x+  number: '0.9284348836635735173363911393778742644770392104098376187179624474821310935443598531114139056836575176'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#14,13,x}+- params:+    n: '14'+    k: '26'+    expression: w+  number: '0.04025059487268861216681661622513682419109763521659967149471864112229635913924082887625391122901272943'+- params:+    n: '14'+    k: '27'+    expression: x+  number: '0.9631583382788532040076698240230578032090304427838928709413034904129736653268462940906153268103982332'+- params:+    n: '14'+    k: '27'+    expression: w+  number: '0.02904870126150850553510391500429234364133708192761640041596289741754471144818288116772784550800118081'+- params:+    n: '14'+    k: '28'+    expression: x+  number: '0.9862838086968123388415972667040528016760914072392258816440708117777495541324916379106462396651517528'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#14,14,x}+- params:+    n: '14'+    k: '28'+    expression: w+  number: '0.01714845890993550645296678149021035251760784275790161375078491458376003606314818735814554833839341814'+- params:+    n: '14'+    k: '29'+    expression: x+  number: '0.9977205937565431220161858742705826785441030166985389559875712717808293321182295133969544806355475937'+- params:+    n: '14'+    k: '29'+    expression: w+  number: '0.006139558686378131376066151763667321002996025013661071821872412059995319239359861487396429496470427470'+- params:+    n: '15'+    k: '1'+    expression: x+  number: '-0.9980022986933970602851728401522712090734064423155572303483942797068334868283713456664897990776012528'+- params:+    n: '15'+    k: '1'+    expression: w+  number: '0.005377479872923348987792051430127649818308040243128419787648616953684863555435459921379317259649003899'+- params:+    n: '15'+    k: '2'+    expression: x+  number: '-0.9879925180204854284895657185866125811469728171237614899999975155873884373690194247127220503683191450'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#15,1,x}+- params:+    n: '15'+    k: '2'+    expression: w+  number: '0.01500794732931612253837476307580726809463943643738763497929175970089649474615433439896171022749040253'+- params:+    n: '15'+    k: '3'+    expression: x+  number: '-0.9677390756791391342573479787843372252833573373001316379746806222633580424945217480431938504820311851'+- params:+    n: '15'+    k: '3'+    expression: w+  number: '0.02546084732671532018687400101965335939727174504686464050837798498240090344700918526760520577881971285'+- params:+    n: '15'+    k: '4'+    expression: x+  number: '-0.9372733924007059043077589477102094712439962735153044579013630763502029737970455279505475861742680866'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#15,2,x}+- params:+    n: '15'+    k: '4'+    expression: w+  number: '0.03534636079137584622203794847836004812263067899242082086814802334090250183724768097843466272429681008'+- params:+    n: '15'+    k: '5'+    expression: x+  number: '-0.8972645323440819008825096564544958828317787114944278676397268760107853772147377122119539966191971612'+- params:+    n: '15'+    k: '5'+    expression: w+  number: '0.04458975132476487660822729937327969022325664966792109657098082321180545070005990636645503641889714959'+- params:+    n: '15'+    k: '6'+    expression: x+  number: '-0.8482065834104272162006483207742168513662561747369926340957275587606750751741454851976077197508214809'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#15,3,x}+- params:+    n: '15'+    k: '6'+    expression: w+  number: '0.05348152469092808726534314723943029677155476094711673981322288875272741361625962543971481247519898751'+- params:+    n: '15'+    k: '7'+    expression: x+  number: '-0.7904185014424659329676492948179473468621405199569761733236528064330830297463180705999473866422544553'+- params:+    n: '15'+    k: '7'+    expression: w+  number: '0.06200956780067064028513923096080293219040000421032972356914782939561837620627231733303058426830380864'+- params:+    n: '15'+    k: '8'+    expression: x+  number: '-0.7244177313601700474161860546139380096308992945841025635514234207041237816779252189961010976031343263'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#15,4,x}+- params:+    n: '15'+    k: '8'+    expression: w+  number: '0.06985412131872825870952007709914747578604543514067154969879809317799267562498799884974862877857066752'+- params:+    n: '15'+    k: '9'+    expression: x+  number: '-0.6509967412974169705337358953132746925469482260925996670896616057609330584104384079446039474722806037'+- params:+    n: '15'+    k: '9'+    expression: w+  number: '0.07684968075772037889443277748265900672210910116794700058408909711247082109203408441822473152769029191'+- params:+    n: '15'+    k: '10'+    expression: x+  number: '-0.5709721726085388475372267372539106412383863962827496048532654170541953798697585794834146285698261448'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#15,5,x}+- params:+    n: '15'+    k: '10'+    expression: w+  number: '0.08308050282313302103828924728610378960155418825336871760728160487523363064388505605763078922833708886'+- params:+    n: '15'+    k: '11'+    expression: x+  number: '-0.4850818636402396806936557402323506128663389308940731212936794360408023995516715597437184869084859528'+- params:+    n: '15'+    k: '11'+    expression: w+  number: '0.08856444305621177064727544369377430321226673269065596781799605257487714454474981426071883757632510992'+- params:+    n: '15'+    k: '12'+    expression: x+  number: '-0.3941513470775633698972073709810454683627527761586982550311653439516089577869614179754971141616597620'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#15,6,x}+- params:+    n: '15'+    k: '12'+    expression: w+  number: '0.09312659817082532122548687274734571856192788132131733056028587918905200287453185506011490899045871674'+- params:+    n: '15'+    k: '13'+    expression: x+  number: '-0.2991800071531688121667800242663889626616033827438208018412554573891808110251388446760232202015724356'+- params:+    n: '15'+    k: '13'+    expression: w+  number: '0.09664272698362367850517990762758933513665656863049519897340766888293439235996284182651140250466459219'+- params:+    n: '15'+    k: '14'+    expression: x+  number: '-0.2011940939974345223006283033945962078128364544626376796159497246099482390030201876018362580675210591'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#15,7,x}+- params:+    n: '15'+    k: '14'+    expression: w+  number: '0.09917359872179195933239317348460313105956726081671328173486009569365156306430874571705668012822379074'+- params:+    n: '15'+    k: '15'+    expression: x+  number: '-0.1011420669187174990270742314473923387874510574016418049580018950415109786245408305093132145154038100'+- params:+    n: '15'+    k: '15'+    expression: w+  number: '0.1007698455238755950449466626175697219163483801353637306927892902948812276082276107747506018596540833'+- params:+    n: '15'+    k: '16'+    expression: x+  number: '0'+  comment: $x_{16}=0$, the central node of every rule+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#15,8,x}+- params:+    n: '15'+    k: '16'+    expression: w+  number: 48573630978151702037927516933170659328/479360777810478327470528249974671314475+- params:+    n: '15'+    k: '17'+    expression: x+  number: '0.1011420669187174990270742314473923387874510574016418049580018950415109786245408305093132145154038100'+- params:+    n: '15'+    k: '17'+    expression: w+  number: '0.1007698455238755950449466626175697219163483801353637306927892902948812276082276107747506018596540833'+- params:+    n: '15'+    k: '18'+    expression: x+  number: '0.2011940939974345223006283033945962078128364544626376796159497246099482390030201876018362580675210591'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#15,9,x}+- params:+    n: '15'+    k: '18'+    expression: w+  number: '0.09917359872179195933239317348460313105956726081671328173486009569365156306430874571705668012822379074'+- params:+    n: '15'+    k: '19'+    expression: x+  number: '0.2991800071531688121667800242663889626616033827438208018412554573891808110251388446760232202015724356'+- params:+    n: '15'+    k: '19'+    expression: w+  number: '0.09664272698362367850517990762758933513665656863049519897340766888293439235996284182651140250466459219'+- params:+    n: '15'+    k: '20'+    expression: x+  number: '0.3941513470775633698972073709810454683627527761586982550311653439516089577869614179754971141616597620'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#15,10,x}+- params:+    n: '15'+    k: '20'+    expression: w+  number: '0.09312659817082532122548687274734571856192788132131733056028587918905200287453185506011490899045871674'+- params:+    n: '15'+    k: '21'+    expression: x+  number: '0.4850818636402396806936557402323506128663389308940731212936794360408023995516715597437184869084859528'+- params:+    n: '15'+    k: '21'+    expression: w+  number: '0.08856444305621177064727544369377430321226673269065596781799605257487714454474981426071883757632510992'+- params:+    n: '15'+    k: '22'+    expression: x+  number: '0.5709721726085388475372267372539106412383863962827496048532654170541953798697585794834146285698261448'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#15,11,x}+- params:+    n: '15'+    k: '22'+    expression: w+  number: '0.08308050282313302103828924728610378960155418825336871760728160487523363064388505605763078922833708886'+- params:+    n: '15'+    k: '23'+    expression: x+  number: '0.6509967412974169705337358953132746925469482260925996670896616057609330584104384079446039474722806037'+- params:+    n: '15'+    k: '23'+    expression: w+  number: '0.07684968075772037889443277748265900672210910116794700058408909711247082109203408441822473152769029191'+- params:+    n: '15'+    k: '24'+    expression: x+  number: '0.7244177313601700474161860546139380096308992945841025635514234207041237816779252189961010976031343263'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#15,12,x}+- params:+    n: '15'+    k: '24'+    expression: w+  number: '0.06985412131872825870952007709914747578604543514067154969879809317799267562498799884974862877857066752'+- params:+    n: '15'+    k: '25'+    expression: x+  number: '0.7904185014424659329676492948179473468621405199569761733236528064330830297463180705999473866422544553'+- params:+    n: '15'+    k: '25'+    expression: w+  number: '0.06200956780067064028513923096080293219040000421032972356914782939561837620627231733303058426830380864'+- params:+    n: '15'+    k: '26'+    expression: x+  number: '0.8482065834104272162006483207742168513662561747369926340957275587606750751741454851976077197508214809'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#15,13,x}+- params:+    n: '15'+    k: '26'+    expression: w+  number: '0.05348152469092808726534314723943029677155476094711673981322288875272741361625962543971481247519898751'+- params:+    n: '15'+    k: '27'+    expression: x+  number: '0.8972645323440819008825096564544958828317787114944278676397268760107853772147377122119539966191971612'+- params:+    n: '15'+    k: '27'+    expression: w+  number: '0.04458975132476487660822729937327969022325664966792109657098082321180545070005990636645503641889714959'+- params:+    n: '15'+    k: '28'+    expression: x+  number: '0.9372733924007059043077589477102094712439962735153044579013630763502029737970455279505475861742680866'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#15,14,x}+- params:+    n: '15'+    k: '28'+    expression: w+  number: '0.03534636079137584622203794847836004812263067899242082086814802334090250183724768097843466272429681008'+- params:+    n: '15'+    k: '29'+    expression: x+  number: '0.9677390756791391342573479787843372252833573373001316379746806222633580424945217480431938504820311851'+- params:+    n: '15'+    k: '29'+    expression: w+  number: '0.02546084732671532018687400101965335939727174504686464050837798498240090344700918526760520577881971285'+- params:+    n: '15'+    k: '30'+    expression: x+  number: '0.9879925180204854284895657185866125811469728171237614899999975155873884373690194247127220503683191450'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#15,15,x}+- params:+    n: '15'+    k: '30'+    expression: w+  number: '0.01500794732931612253837476307580726809463943643738763497929175970089649474615433439896171022749040253'+- params:+    n: '15'+    k: '31'+    expression: x+  number: '0.9980022986933970602851728401522712090734064423155572303483942797068334868283713456664897990776012528'+- params:+    n: '15'+    k: '31'+    expression: w+  number: '0.005377479872923348987792051430127649818308040243128419787648616953684863555435459921379317259649003899'+- params:+    n: '20'+    k: '1'+    expression: x+  number: '-0.9988590315882776638383155765458630099995702043262966686666686033932441179331198296783912977285417988'+- params:+    n: '20'+    k: '1'+    expression: w+  number: '0.003073583718520531501218293246030987488033504688254344919846162821211433366559037815670626524141446931'+- params:+    n: '20'+    k: '2'+    expression: x+  number: '-0.9931285991850949247861223884713202782226471309016558961481841312179847176277537808394494024965722093'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,1,x}+- params:+    n: '20'+    k: '2'+    expression: w+  number: '0.008600269855642942198661787950102347252128922766707797662245060203142653536269643783844882800955453203'+- params:+    n: '20'+    k: '3'+    expression: x+  number: '-0.9815078774502502591933429947202169445672509398102375986907753331879309885746572346089806049188751136'+- params:+    n: '20'+    k: '3'+    expression: w+  number: '0.01462616925697125298378796030886835616388105016224977034210347463107696002974875195938048248430838229'+- params:+    n: '20'+    k: '4'+    expression: x+  number: '-0.9639719272779137912676661311972772219120603278061888560635375938920415807843830569800181252559647156'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,2,x}+- params:+    n: '20'+    k: '4'+    expression: w+  number: '0.02038837346126652359801023143275470512283862794018592936537186821443300653203035367125364030067915750'+- params:+    n: '20'+    k: '5'+    expression: x+  number: '-0.9408226338317547535199827222124433802742955737796529105953683997318679600655757122088821867677661845'+- params:+    n: '20'+    k: '5'+    expression: w+  number: '0.02588213360495115883450506709615314299947911804867494452699779775537430642162944039339242719886934579'+- params:+    n: '20'+    k: '6'+    expression: x+  number: '-0.9122344282513259058677524412032981130491847974236917747958822191580708912087190789364447261929213874'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,3,x}+- params:+    n: '20'+    k: '6'+    expression: w+  number: '0.03128730677703279895854311932380073788776928036281333735955459800532242326604799677192603106970504948'+- params:+    n: '20'+    k: '7'+    expression: x+  number: '-0.8782768112522819760774429951130784667112452682825116485389808699824814590474322074084026162424568388'+- params:+    n: '20'+    k: '7'+    expression: w+  number: '0.03660016975820079803055724070721100848745349674749800165107000944197328006148926607404498690143632430'+- params:+    n: '20'+    k: '8'+    expression: x+  number: '-0.8391169718222188233945290617015206853296293650656373732524927255328610939993248099192293405659576492'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,4,x}+- params:+    n: '20'+    k: '8'+    expression: w+  number: '0.04166887332797368626378830593689473804396084315301032486096635323527188959637972646220870208106871546'+- params:+    n: '20'+    k: '9'+    expression: x+  number: '-0.7950414288375511983506388332727879429593895991157802970385516389432269787171038286670177789025182462'+- params:+    n: '20'+    k: '9'+    expression: w+  number: '0.04643482186749767472023188092610751684212707100707792928999412793324322258593880439295393118514644607'+- params:+    n: '20'+    k: '10'+    expression: x+  number: '-0.7463319064601507926143050703556415903107306795691764441395459060685353550381550646811041136206475206'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,5,x}+- params:+    n: '20'+    k: '10'+    expression: w+  number: '0.05094457392372869193270767005034494866483636580926257974751714008611911347686673564105482257417319890'+- params:+    n: '20'+    k: '11'+    expression: x+  number: '-0.6932376563347513848054907118459315333864258514102141790468737845430119171073921901154667241632502275'+- params:+    n: '20'+    k: '11'+    expression: w+  number: '0.05519510534828599474483237241977732919475345622815311690981213121317782770788469291784545399953551882'+- params:+    n: '20'+    k: '12'+    expression: x+  number: '-0.6360536807265150254528366962262859367433891167993684639394466225465412625854301325587031954957613066'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,6,x}+- params:+    n: '20'+    k: '12'+    expression: w+  number: '0.05911140088063957237496722064859421713641936597704219174838804720401526284040769661150873283985195270'+- params:+    n: '20'+    k: '13'+    expression: x+  number: '-0.5751404468197103153429460365864251328138126401477168253741588549571746807472006201235778848904947021'+- params:+    n: '20'+    k: '13'+    expression: w+  number: '0.06265323755478116802587012217425498058581974469889788618655332415710042408891928450345159674258838634'+- params:+    n: '20'+    k: '14'+    expression: x+  number: '-0.5108670019508270980043640509552509984254913292024268334723486198947349703907657281440316830508677792'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,7,x}+- params:+    n: '20'+    k: '14'+    expression: w+  number: '0.06583459713361842211156355696939794314722350634338144370975174963994442031438429634750352381009684240'+- params:+    n: '20'+    k: '15'+    expression: x+  number: '-0.4435931752387251031999922134926401078401010108230030961331502834629954305931525860199347915698784743'+- params:+    n: '20'+    k: '15'+    expression: w+  number: '0.06864867292852161934562341188536780171548970495823986040043426417392380602958997094171122425796765104'+- params:+    n: '20'+    k: '16'+    expression: x+  number: '-0.3737060887154195606725481770249272373957463217056827118279486135156457643730595278958956836345333789'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,8,x}+- params:+    n: '20'+    k: '16'+    expression: w+  number: '0.07105442355344406830579036172321016741291215932221014392162827058640738187978952590108614647327809516'+- params:+    n: '20'+    k: '17'+    expression: x+  number: '-0.3016278681149130043205553568585922606153965050137309245692637442795695743597838411606649823476222022'+- params:+    n: '20'+    k: '17'+    expression: w+  number: '0.07303069033278666749518941765891311276062684523455274238017425077184974383166004096680480231246452772'+- params:+    n: '20'+    k: '18'+    expression: x+  number: '-0.2277858511416450780804961953685746247430889376829274723146357392071713418635558277949521251909687080'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,9,x}+- params:+    n: '20'+    k: '18'+    expression: w+  number: '0.07458287540049918898658141836248752861611649357209227308004704072696989956788736422766420264294235710'+- params:+    n: '20'+    k: '19'+    expression: x+  number: '-0.1526054652409226755052202410226775279116762248184173066017415670380913368575169635698799588639704972'+- params:+    n: '20'+    k: '19'+    expression: w+  number: '0.07570449768455667465954277537661655826336315590041432619485522327234883859609941484188674046837970728'+- params:+    n: '20'+    k: '20'+    expression: x+  number: '-0.07652652113349733375464040939883821100479626681349750080479524438425634204833697824154511418155621561'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,10,x}+- params:+    n: '20'+    k: '20'+    expression: w+  number: '0.07637786767208073670550283503806100180080103676494599671494643111693674554206194105000834504748250125'+- params:+    n: '20'+    k: '21'+    expression: x+  number: '0'+  comment: $x_{21}=0$, the central node of every rule+  equals: HREF{Zero}+- params:+    n: '20'+    k: '21'+    expression: w+  number: 624992238612793816992362272777211740160000/8159091775567858242431146758900398828210807+- params:+    n: '20'+    k: '22'+    expression: x+  number: '0.07652652113349733375464040939883821100479626681349750080479524438425634204833697824154511418155621561'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,11,x}+- params:+    n: '20'+    k: '22'+    expression: w+  number: '0.07637786767208073670550283503806100180080103676494599671494643111693674554206194105000834504748250125'+- params:+    n: '20'+    k: '23'+    expression: x+  number: '0.1526054652409226755052202410226775279116762248184173066017415670380913368575169635698799588639704972'+- params:+    n: '20'+    k: '23'+    expression: w+  number: '0.07570449768455667465954277537661655826336315590041432619485522327234883859609941484188674046837970728'+- params:+    n: '20'+    k: '24'+    expression: x+  number: '0.2277858511416450780804961953685746247430889376829274723146357392071713418635558277949521251909687080'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,12,x}+- params:+    n: '20'+    k: '24'+    expression: w+  number: '0.07458287540049918898658141836248752861611649357209227308004704072696989956788736422766420264294235710'+- params:+    n: '20'+    k: '25'+    expression: x+  number: '0.3016278681149130043205553568585922606153965050137309245692637442795695743597838411606649823476222022'+- params:+    n: '20'+    k: '25'+    expression: w+  number: '0.07303069033278666749518941765891311276062684523455274238017425077184974383166004096680480231246452772'+- params:+    n: '20'+    k: '26'+    expression: x+  number: '0.3737060887154195606725481770249272373957463217056827118279486135156457643730595278958956836345333789'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,13,x}+- params:+    n: '20'+    k: '26'+    expression: w+  number: '0.07105442355344406830579036172321016741291215932221014392162827058640738187978952590108614647327809516'+- params:+    n: '20'+    k: '27'+    expression: x+  number: '0.4435931752387251031999922134926401078401010108230030961331502834629954305931525860199347915698784743'+- params:+    n: '20'+    k: '27'+    expression: w+  number: '0.06864867292852161934562341188536780171548970495823986040043426417392380602958997094171122425796765104'+- params:+    n: '20'+    k: '28'+    expression: x+  number: '0.5108670019508270980043640509552509984254913292024268334723486198947349703907657281440316830508677792'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,14,x}+- params:+    n: '20'+    k: '28'+    expression: w+  number: '0.06583459713361842211156355696939794314722350634338144370975174963994442031438429634750352381009684240'+- params:+    n: '20'+    k: '29'+    expression: x+  number: '0.5751404468197103153429460365864251328138126401477168253741588549571746807472006201235778848904947021'+- params:+    n: '20'+    k: '29'+    expression: w+  number: '0.06265323755478116802587012217425498058581974469889788618655332415710042408891928450345159674258838634'+- params:+    n: '20'+    k: '30'+    expression: x+  number: '0.6360536807265150254528366962262859367433891167993684639394466225465412625854301325587031954957613066'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,15,x}+- params:+    n: '20'+    k: '30'+    expression: w+  number: '0.05911140088063957237496722064859421713641936597704219174838804720401526284040769661150873283985195270'+- params:+    n: '20'+    k: '31'+    expression: x+  number: '0.6932376563347513848054907118459315333864258514102141790468737845430119171073921901154667241632502275'+- params:+    n: '20'+    k: '31'+    expression: w+  number: '0.05519510534828599474483237241977732919475345622815311690981213121317782770788469291784545399953551882'+- params:+    n: '20'+    k: '32'+    expression: x+  number: '0.7463319064601507926143050703556415903107306795691764441395459060685353550381550646811041136206475206'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,16,x}+- params:+    n: '20'+    k: '32'+    expression: w+  number: '0.05094457392372869193270767005034494866483636580926257974751714008611911347686673564105482257417319890'+- params:+    n: '20'+    k: '33'+    expression: x+  number: '0.7950414288375511983506388332727879429593895991157802970385516389432269787171038286670177789025182462'+- params:+    n: '20'+    k: '33'+    expression: w+  number: '0.04643482186749767472023188092610751684212707100707792928999412793324322258593880439295393118514644607'+- params:+    n: '20'+    k: '34'+    expression: x+  number: '0.8391169718222188233945290617015206853296293650656373732524927255328610939993248099192293405659576492'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,17,x}+- params:+    n: '20'+    k: '34'+    expression: w+  number: '0.04166887332797368626378830593689473804396084315301032486096635323527188959637972646220870208106871546'+- params:+    n: '20'+    k: '35'+    expression: x+  number: '0.8782768112522819760774429951130784667112452682825116485389808699824814590474322074084026162424568388'+- params:+    n: '20'+    k: '35'+    expression: w+  number: '0.03660016975820079803055724070721100848745349674749800165107000944197328006148926607404498690143632430'+- params:+    n: '20'+    k: '36'+    expression: x+  number: '0.9122344282513259058677524412032981130491847974236917747958822191580708912087190789364447261929213874'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,18,x}+- params:+    n: '20'+    k: '36'+    expression: w+  number: '0.03128730677703279895854311932380073788776928036281333735955459800532242326604799677192603106970504948'+- params:+    n: '20'+    k: '37'+    expression: x+  number: '0.9408226338317547535199827222124433802742955737796529105953683997318679600655757122088821867677661845'+- params:+    n: '20'+    k: '37'+    expression: w+  number: '0.02588213360495115883450506709615314299947911804867494452699779775537430642162944039339242719886934579'+- params:+    n: '20'+    k: '38'+    expression: x+  number: '0.9639719272779137912676661311972772219120603278061888560635375938920415807843830569800181252559647156'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,19,x}+- params:+    n: '20'+    k: '38'+    expression: w+  number: '0.02038837346126652359801023143275470512283862794018592936537186821443300653203035367125364030067915750'+- params:+    n: '20'+    k: '39'+    expression: x+  number: '0.9815078774502502591933429947202169445672509398102375986907753331879309885746572346089806049188751136'+- params:+    n: '20'+    k: '39'+    expression: w+  number: '0.01462616925697125298378796030886835616388105016224977034210347463107696002974875195938048248430838229'+- params:+    n: '20'+    k: '40'+    expression: x+  number: '0.9931285991850949247861223884713202782226471309016558961481841312179847176277537808394494024965722093'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#20,20,x}+- params:+    n: '20'+    k: '40'+    expression: w+  number: '0.008600269855642942198661787950102347252128922766707797662245060203142653536269643783844882800955453203'+- params:+    n: '20'+    k: '41'+    expression: x+  number: '0.9988590315882776638383155765458630099995702043262966686666686033932441179331198296783912977285417988'+- params:+    n: '20'+    k: '41'+    expression: w+  number: '0.003073583718520531501218293246030987488033504688254344919846162821211433366559037815670626524141446931'+- params:+    n: '25'+    k: '1'+    expression: x+  number: '-0.9992621049926098341934574865403405937045249604227961858622869776290452442816771907381874610223807598'+- params:+    n: '25'+    k: '1'+    expression: w+  number: '0.001987383892330315926507851882843409889429980428250597383765334629898562933682011875352309367530347688'+- params:+    n: '25'+    k: '2'+    expression: x+  number: '-0.9955569697904980979087849468939016172575626494048081712108049311329334813437279344872880263529470076'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,1,x}+- params:+    n: '25'+    k: '2'+    expression: w+  number: '0.005561932135356713758040236901065522070176929549629098405296121079381003885758172417102161010070879976'+- params:+    n: '25'+    k: '3'+    expression: x+  number: '-0.9880357945340772476373310145774062270724841520916074813144997219940518682134729368624540474203236050'+- params:+    n: '25'+    k: '3'+    expression: w+  number: '0.009473973386174151607207710523655323871645326848372633497139402960352930614035902318790470575471964303'+- params:+    n: '25'+    k: '4'+    expression: x+  number: '-0.9766639214595175114983153864795940677453705553144067446709874273161638675358805538964467094830061787'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,2,x}+- params:+    n: '25'+    k: '4'+    expression: w+  number: '0.01323622919557167481365640584697623807757808499786365473221386048856061458763439554400215625819258227'+- params:+    n: '25'+    k: '5'+    expression: x+  number: '-0.9616149864258425124181300336601672416921264296370967666662452014129289328118566691763640779082321089'+- params:+    n: '25'+    k: '5'+    expression: w+  number: '0.01684781770912829823151666753633631584040265462470613941117576927684218227007896007854459737264653264'+- params:+    n: '25'+    k: '6'+    expression: x+  number: '-0.9429745712289743394140111696584705319052015706089901419274524971372953225440492613089052181512734833'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,3,x}+- params:+    n: '25'+    k: '6'+    expression: w+  number: '0.02043537114588283545656829223593897367875800609766893722007453155016362256684188585595762310335444325'+- params:+    n: '25'+    k: '7'+    expression: x+  number: '-0.9207471152817015617463460845463306315745703599627719970064283650113138504263121240780895228170282018'+- params:+    n: '25'+    k: '7'+    expression: w+  number: '0.02400994560695321622009248916488108139293152820965933029073497234253601228219191306977865824197204777'+- params:+    n: '25'+    k: '8'+    expression: x+  number: '-0.8949919978782753688510420067828049541745548497535839030617016829591715109011994513711860069303917816'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,4,x}+- params:+    n: '25'+    k: '8'+    expression: w+  number: '0.02747531758785173780294845551781107861479601328871060319961362106972781035283546992610782204743356679'+- params:+    n: '25'+    k: '9'+    expression: x+  number: '-0.8658470652932755954489969695883400882028440940282369029396521324669143294818028012075670873806477906'+- params:+    n: '25'+    k: '9'+    expression: w+  number: '0.03079230016738748889110902021522858560087716239329248764454483055996538804799649270924861824908485148'+- params:+    n: '25'+    k: '10'+    expression: x+  number: '-0.8334426287608340014210211086935695694609641138235207860208647154617181324770901252532297394775916811'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,5,x}+- params:+    n: '25'+    k: '10'+    expression: w+  number: '0.03400213027432933783674879522955120322567052825005044308326419312152433906334485501025766054770802243'+- params:+    n: '25'+    k: '11'+    expression: x+  number: '-0.7978737979985000594104109049943065694086323000933826766170693449948865081764382407711895031444398403'+- params:+    n: '25'+    k: '11'+    expression: w+  number: '0.03711627148341554356033062536761987599599780268804776480562870276277300966939576058229452574858387571'+- params:+    n: '25'+    k: '12'+    expression: x+  number: '-0.7592592630373576305772828652043609763875220188983341209183897354450186288202624076076367972418523033'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,6,x}+- params:+    n: '25'+    k: '12'+    expression: w+  number: '0.04008382550403238207483928446707564640141054926659130871311587838683577731505845195561411615894961407'+- params:+    n: '25'+    k: '13'+    expression: x+  number: '-0.7177664068130843881866540797732977805977116755551558242349348682399161282097496508952290595376586033'+- params:+    n: '25'+    k: '13'+    expression: w+  number: '0.04287284502017004947689579243949516110199950419988332887791924251573895765525393204895136696080259234'+- params:+    n: '25'+    k: '14'+    expression: x+  number: '-0.6735663684734683644851206332476221758834167280727493170596569617782877368492842115819636856803093219'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,7,x}+- params:+    n: '25'+    k: '14'+    expression: w+  number: '0.04550291304992178890987058475266039304370776893569532731672425439279429956795703545820897059964169720'+- params:+    n: '25'+    k: '15'+    expression: x+  number: '-0.6268100990103174127881226816245178810195462899506851080652522200843726018418118305304523642384519875'+- params:+    n: '25'+    k: '15'+    expression: w+  number: '0.04798253713883671390639225575691475498359220742327116965123586519675791388033411781023551747732811003'+- params:+    n: '25'+    k: '16'+    expression: x+  number: '-0.5776629302412229677236898416126540673957350392915182566454835077610230127526320222767165964657964908'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,8,x}+- params:+    n: '25'+    k: '16'+    expression: w+  number: '0.05027767908071567196332525943344008444058763060477597514205096827974301464114140231030258454263355704'+- params:+    n: '25'+    k: '17'+    expression: x+  number: '-0.5263252843347191825996237781580101780368325232019111431300242518047145502250269530237100852060463834'+- params:+    n: '25'+    k: '17'+    expression: w+  number: '0.05236288580640747586436671213787271488735155072370759635090579365604665924854127659750456649799092631'+- params:+    n: '25'+    k: '18'+    expression: x+  number: '-0.4730027314457149605221821150091920413318177384616272909072308276956032758412860301031568477827936354'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,9,x}+- params:+    n: '25'+    k: '18'+    expression: w+  number: '0.05425112988854549014454337045987560682607683844126338307216329331293692347665093413024231502842204780'+- params:+    n: '25'+    k: '19'+    expression: x+  number: '-0.4178853821930377488518143945945724870933699814006952803495578506879693207696659954871722420510979730'+- params:+    n: '25'+    k: '19'+    expression: w+  number: '0.05595081122041231730824068638274734682027103511277180242893279106611515826833860701936583165546031473'+- params:+    n: '25'+    k: '20'+    expression: x+  number: '-0.3611723058093878377358217301276406674220783470433750697945787778467453823956965486032953150609376140'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,10,x}+- params:+    n: '25'+    k: '20'+    expression: w+  number: '0.05743711636156783285358269393950647199483285682389668297650941231336749572722438119997859824773708959'+- params:+    n: '25'+    k: '21'+    expression: x+  number: '-0.3030895389311078301674789099803393292004193787665519468573157845257312037233720971734961788211166242'+- params:+    n: '25'+    k: '21'+    expression: w+  number: '0.05868968002239420796197417585678776413979564625482831529324370030501256948605415761704968503150659186'+- params:+    n: '25'+    k: '22'+    expression: x+  number: '-0.2438668837209884320451903627974515864056331563259844764211356532503874727858559506797763677632503406'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,11,x}+- params:+    n: '25'+    k: '22'+    expression: w+  number: '0.05972034032417405997909929193256185383536304547618997548337220781614998846070829902077961237501063978'+- params:+    n: '25'+    k: '23'+    expression: x+  number: '-0.1837189394210488920159698887595284157852844783499055521503451265323675285110981561765186716064559124'+- params:+    n: '25'+    k: '23'+    expression: w+  number: '0.06053945537604586294536026751756542716231236571045707992348704314455474781068951440801358251548993091'+- params:+    n: '25'+    k: '24'+    expression: x+  number: '-0.1228646926107103963873598188080368055322053460497837384238935378927088349688584158264388499463310554'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,12,x}+- params:+    n: '25'+    k: '24'+    expression: w+  number: '0.06112850971705304830585903041629271192267855232196093835732202807039013376995203283120489556934775781'+- params:+    n: '25'+    k: '25'+    expression: x+  number: '-0.06154448300568507888654639236679663128172434803982354527430543175168727936155865854514104878102269107'+- params:+    n: '25'+    k: '25'+    expression: w+  number: '0.06147118987142531666154413196526417758653796287688502271111168350015170079619872655848336756653742288'+- params:+    n: '25'+    k: '26'+    expression: x+  number: '0'+  comment: $x_{26}=0$, the central node of every rule+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,13,x}+- params:+    n: '25'+    k: '26'+    expression: w+  number: 220315971287016536776250504422901142903111497756959045870876950775463936/3577672044634622119495981070234448702995951652702534015285612444926645625+- params:+    n: '25'+    k: '27'+    expression: x+  number: '0.06154448300568507888654639236679663128172434803982354527430543175168727936155865854514104878102269107'+- params:+    n: '25'+    k: '27'+    expression: w+  number: '0.06147118987142531666154413196526417758653796287688502271111168350015170079619872655848336756653742288'+- params:+    n: '25'+    k: '28'+    expression: x+  number: '0.1228646926107103963873598188080368055322053460497837384238935378927088349688584158264388499463310554'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,14,x}+- params:+    n: '25'+    k: '28'+    expression: w+  number: '0.06112850971705304830585903041629271192267855232196093835732202807039013376995203283120489556934775781'+- params:+    n: '25'+    k: '29'+    expression: x+  number: '0.1837189394210488920159698887595284157852844783499055521503451265323675285110981561765186716064559124'+- params:+    n: '25'+    k: '29'+    expression: w+  number: '0.06053945537604586294536026751756542716231236571045707992348704314455474781068951440801358251548993091'+- params:+    n: '25'+    k: '30'+    expression: x+  number: '0.2438668837209884320451903627974515864056331563259844764211356532503874727858559506797763677632503406'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,15,x}+- params:+    n: '25'+    k: '30'+    expression: w+  number: '0.05972034032417405997909929193256185383536304547618997548337220781614998846070829902077961237501063978'+- params:+    n: '25'+    k: '31'+    expression: x+  number: '0.3030895389311078301674789099803393292004193787665519468573157845257312037233720971734961788211166242'+- params:+    n: '25'+    k: '31'+    expression: w+  number: '0.05868968002239420796197417585678776413979564625482831529324370030501256948605415761704968503150659186'+- params:+    n: '25'+    k: '32'+    expression: x+  number: '0.3611723058093878377358217301276406674220783470433750697945787778467453823956965486032953150609376140'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,16,x}+- params:+    n: '25'+    k: '32'+    expression: w+  number: '0.05743711636156783285358269393950647199483285682389668297650941231336749572722438119997859824773708959'+- params:+    n: '25'+    k: '33'+    expression: x+  number: '0.4178853821930377488518143945945724870933699814006952803495578506879693207696659954871722420510979730'+- params:+    n: '25'+    k: '33'+    expression: w+  number: '0.05595081122041231730824068638274734682027103511277180242893279106611515826833860701936583165546031473'+- params:+    n: '25'+    k: '34'+    expression: x+  number: '0.4730027314457149605221821150091920413318177384616272909072308276956032758412860301031568477827936354'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,17,x}+- params:+    n: '25'+    k: '34'+    expression: w+  number: '0.05425112988854549014454337045987560682607683844126338307216329331293692347665093413024231502842204780'+- params:+    n: '25'+    k: '35'+    expression: x+  number: '0.5263252843347191825996237781580101780368325232019111431300242518047145502250269530237100852060463834'+- params:+    n: '25'+    k: '35'+    expression: w+  number: '0.05236288580640747586436671213787271488735155072370759635090579365604665924854127659750456649799092631'+- params:+    n: '25'+    k: '36'+    expression: x+  number: '0.5776629302412229677236898416126540673957350392915182566454835077610230127526320222767165964657964908'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,18,x}+- params:+    n: '25'+    k: '36'+    expression: w+  number: '0.05027767908071567196332525943344008444058763060477597514205096827974301464114140231030258454263355704'+- params:+    n: '25'+    k: '37'+    expression: x+  number: '0.6268100990103174127881226816245178810195462899506851080652522200843726018418118305304523642384519875'+- params:+    n: '25'+    k: '37'+    expression: w+  number: '0.04798253713883671390639225575691475498359220742327116965123586519675791388033411781023551747732811003'+- params:+    n: '25'+    k: '38'+    expression: x+  number: '0.6735663684734683644851206332476221758834167280727493170596569617782877368492842115819636856803093219'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,19,x}+- params:+    n: '25'+    k: '38'+    expression: w+  number: '0.04550291304992178890987058475266039304370776893569532731672425439279429956795703545820897059964169720'+- params:+    n: '25'+    k: '39'+    expression: x+  number: '0.7177664068130843881866540797732977805977116755551558242349348682399161282097496508952290595376586033'+- params:+    n: '25'+    k: '39'+    expression: w+  number: '0.04287284502017004947689579243949516110199950419988332887791924251573895765525393204895136696080259234'+- params:+    n: '25'+    k: '40'+    expression: x+  number: '0.7592592630373576305772828652043609763875220188983341209183897354450186288202624076076367972418523033'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,20,x}+- params:+    n: '25'+    k: '40'+    expression: w+  number: '0.04008382550403238207483928446707564640141054926659130871311587838683577731505845195561411615894961407'+- params:+    n: '25'+    k: '41'+    expression: x+  number: '0.7978737979985000594104109049943065694086323000933826766170693449948865081764382407711895031444398403'+- params:+    n: '25'+    k: '41'+    expression: w+  number: '0.03711627148341554356033062536761987599599780268804776480562870276277300966939576058229452574858387571'+- params:+    n: '25'+    k: '42'+    expression: x+  number: '0.8334426287608340014210211086935695694609641138235207860208647154617181324770901252532297394775916811'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,21,x}+- params:+    n: '25'+    k: '42'+    expression: w+  number: '0.03400213027432933783674879522955120322567052825005044308326419312152433906334485501025766054770802243'+- params:+    n: '25'+    k: '43'+    expression: x+  number: '0.8658470652932755954489969695883400882028440940282369029396521324669143294818028012075670873806477906'+- params:+    n: '25'+    k: '43'+    expression: w+  number: '0.03079230016738748889110902021522858560087716239329248764454483055996538804799649270924861824908485148'+- params:+    n: '25'+    k: '44'+    expression: x+  number: '0.8949919978782753688510420067828049541745548497535839030617016829591715109011994513711860069303917816'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,22,x}+- params:+    n: '25'+    k: '44'+    expression: w+  number: '0.02747531758785173780294845551781107861479601328871060319961362106972781035283546992610782204743356679'+- params:+    n: '25'+    k: '45'+    expression: x+  number: '0.9207471152817015617463460845463306315745703599627719970064283650113138504263121240780895228170282018'+- params:+    n: '25'+    k: '45'+    expression: w+  number: '0.02400994560695321622009248916488108139293152820965933029073497234253601228219191306977865824197204777'+- params:+    n: '25'+    k: '46'+    expression: x+  number: '0.9429745712289743394140111696584705319052015706089901419274524971372953225440492613089052181512734833'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,23,x}+- params:+    n: '25'+    k: '46'+    expression: w+  number: '0.02043537114588283545656829223593897367875800609766893722007453155016362256684188585595762310335444325'+- params:+    n: '25'+    k: '47'+    expression: x+  number: '0.9616149864258425124181300336601672416921264296370967666662452014129289328118566691763640779082321089'+- params:+    n: '25'+    k: '47'+    expression: w+  number: '0.01684781770912829823151666753633631584040265462470613941117576927684218227007896007854459737264653264'+- params:+    n: '25'+    k: '48'+    expression: x+  number: '0.9766639214595175114983153864795940677453705553144067446709874273161638675358805538964467094830061787'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,24,x}+- params:+    n: '25'+    k: '48'+    expression: w+  number: '0.01323622919557167481365640584697623807757808499786365473221386048856061458763439554400215625819258227'+- params:+    n: '25'+    k: '49'+    expression: x+  number: '0.9880357945340772476373310145774062270724841520916074813144997219940518682134729368624540474203236050'+- params:+    n: '25'+    k: '49'+    expression: w+  number: '0.009473973386174151607207710523655323871645326848372633497139402960352930614035902318790470575471964303'+- params:+    n: '25'+    k: '50'+    expression: x+  number: '0.9955569697904980979087849468939016172575626494048081712108049311329334813437279344872880263529470076'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#25,25,x}+- params:+    n: '25'+    k: '50'+    expression: w+  number: '0.005561932135356713758040236901065522070176929549629098405296121079381003885758172417102161010070879976'+- params:+    n: '25'+    k: '51'+    expression: x+  number: '0.9992621049926098341934574865403405937045249604227961858622869776290452442816771907381874610223807598'+- params:+    n: '25'+    k: '51'+    expression: w+  number: '0.001987383892330315926507851882843409889429980428250597383765334629898562933682011875352309367530347688'+- params:+    n: '30'+    k: '1'+    expression: x+  number: '-0.9994844100504906375713258957058108194688739470185080192363264283074801667484358783065646882314543572'+- params:+    n: '30'+    k: '1'+    expression: w+  number: '0.001389013698677007624551591226759699681048841291963272453441105533230136713098986536695625155642382048'+- params:+    n: '30'+    k: '2'+    expression: x+  number: '-0.9968934840746495402716300509186952833408820381177507901080942978023876952101637408158820195580617174'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,1,x}+- params:+    n: '30'+    k: '2'+    expression: w+  number: '0.003890461127099884051267201844515503278515142984886464921420010128114473367645545106122627365594103835'+- params:+    n: '30'+    k: '3'+    expression: x+  number: '-0.9916309968704045948586283661094857248505003337461632551001992334980748960326079660555619149584357523'+- params:+    n: '30'+    k: '3'+    expression: w+  number: '0.006630703915931292173319826369750168133628388217781258597395559735783756827773192132773181584451259816'+- params:+    n: '30'+    k: '4'+    expression: x+  number: '-0.9836681232797472099700325816056628019403178547097113635171800101511442953647910437020759716603547137'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,2,x}+- params:+    n: '30'+    k: '4'+    expression: w+  number: '0.009273279659517763428441146892024360421270024938193107696495646914362666555743438549232578459634311215'+- params:+    n: '30'+    k: '5'+    expression: x+  number: '-0.9731163225011262683746938684237068848876379642834393385375585018562411895816683828830856170826148637'+- params:+    n: '30'+    k: '5'+    expression: w+  number: '0.01182301525349634174223289885325059289626440625060781832630243154826536515585518273940170003251914145'+- params:+    n: '30'+    k: '6'+    expression: x+  number: '-0.9600218649683075122168710255817976629303592174039233994856616724249399577070684292271894437038000238'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,3,x}+- params:+    n: '30'+    k: '6'+    expression: w+  number: '0.01436972950704580481245143244358001019584189989500150587356589940300019866249582190614427468289422259'+- params:+    n: '30'+    k: '7'+    expression: x+  number: '-0.9443744447485599794158313240374391215856437149649809318174894013952091700065734275344887137684984852'+- params:+    n: '30'+    k: '7'+    expression: w+  number: '0.01692088918905327262757228942032209236856670378383519113988341084054667997855186104362008945168114602'+- params:+    n: '30'+    k: '8'+    expression: x+  number: '-0.9262000474292743258793242770804740040864745368253290609110371336794229956511023268167728801505588624'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,4,x}+- params:+    n: '30'+    k: '8'+    expression: w+  number: '0.01941414119394238117340895105012845585142101419143152577027606653649717907902554048607272611462876361'+- params:+    n: '30'+    k: '9'+    expression: x+  number: '-0.9055733076999077985465225589259583195689753636622284135640476639780376023944963191358507442684257416'+- params:+    n: '30'+    k: '9'+    expression: w+  number: '0.02182803582160919229716748573833899340150729605683491277363042235872043940338255907935605860239387980'+- params:+    n: '30'+    k: '10'+    expression: x+  number: '-0.8825605357920526815431164625302255900566891471464842320683260531216162626951916557292158382857321049'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,5,x}+- params:+    n: '30'+    k: '10'+    expression: w+  number: '0.02419116207808060136568637072523202676039137782818246243222894356294488526750107068800647096287174366'+- params:+    n: '30'+    k: '11'+    expression: x+  number: '-0.8572052335460610989586585106589438568208001706235961285050455173911988722571293268803112070465719564'+- params:+    n: '30'+    k: '11'+    expression: w+  number: '0.02650995488233310161060170933507541436651757952274856577086743833847213890365807761765252275993447490'+- params:+    n: '30'+    k: '12'+    expression: x+  number: '-0.8295657623827683974428981197325019164390686961703416788069529834536565065895816350829524435081401600'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,6,x}+- params:+    n: '30'+    k: '12'+    expression: w+  number: '0.02875404876504129284397878535433421114467916054207493003510228075913217481546983422785466051536600314'+- params:+    n: '30'+    k: '13'+    expression: x+  number: '-0.7997278358218390830136689423226832407356984293777845092364734954868666256732600722919520252418535647'+- params:+    n: '30'+    k: '13'+    expression: w+  number: '0.03090725756238776247288425294309227263527045852380715342684048696402208618987405694771744632818713127'+- params:+    n: '30'+    k: '14'+    expression: x+  number: '-0.7677774321048261949179773409745031316948836172329084532064943873651585701729950450526096025862396842'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,7,x}+- params:+    n: '30'+    k: '14'+    expression: w+  number: '0.03298144705748372603181419101685392751059929121385838571451934764145231658238100880499451534196920599'+- params:+    n: '30'+    k: '15'+    expression: x+  number: '-0.7337900624532268047261711313695276456693817277546854920870139951830001646361332538202466453159731880'+- params:+    n: '30'+    k: '15'+    expression: w+  number: '0.03497933802806002413749967073146787509722691279481871997220845723217778670200874421949847060384678447'+- params:+    n: '30'+    k: '16'+    expression: x+  number: '-0.6978504947933157969322923880266400683823538006539546563797228467399767212431599606953816364400890469'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,8,x}+- params:+    n: '30'+    k: '16'+    expression: w+  number: '0.03688236465182122922391106561713596773695516478103033767000519858419613497015416986258419336075124323'+- params:+    n: '30'+    k: '17'+    expression: x+  number: '-0.6600610641266269613700536681492707530383503748088339095506719733990493749973452207678802051702968819'+- params:+    n: '30'+    k: '17'+    expression: w+  number: '0.03867894562472759295034865153228105025092362982155384679037613067933740205662070055413910948753375956'+- params:+    n: '30'+    k: '18'+    expression: x+  number: '-0.6205261829892428611404775564311892992073646928295281325950511701243353149748891177411525844553278211'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,9,x}+- params:+    n: '30'+    k: '18'+    expression: w+  number: '0.04037453895153595911199527975246811421612606212603025563399828961381084676105974096183682880295957390'+- params:+    n: '30'+    k: '19'+    expression: x+  number: '-0.5793452358263616917560249321725404959070515888121528920812601661231283356781224190380997075178380821'+- params:+    n: '30'+    k: '19'+    expression: w+  number: '0.04196981021516424614714754128596975779008865671899237482038872032385265551120036579037994846200615695'+- params:+    n: '30'+    k: '20'+    expression: x+  number: '-0.5366241481420198992641697933110727941641780069302971054527434829120149086189783786311411600971899026'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,10,x}+- params:+    n: '30'+    k: '20'+    expression: w+  number: '0.04345253970135606931683172811707325807460330863170316806488880549573864083957386333394208411719654146'+- params:+    n: '30'+    k: '21'+    expression: x+  number: '-0.4924804678617785749936930612077087956442656409631869702607334098298842254639635277683704745226202598'+- params:+    n: '30'+    k: '21'+    expression: w+  number: '0.04481480013316266319235555161672324375743139279637300988968020119406350394790789918906106479211191904'+- params:+    n: '30'+    k: '22'+    expression: x+  number: '-0.4470337695380891767806099003228540001624075938614244097544773817276153517285842070040068887212418983'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,11,x}+- params:+    n: '30'+    k: '22'+    expression: w+  number: '0.04605923827100698811627173555937358059469287557182492400473237949229360400644605267225297343897863917'+- params:+    n: '30'+    k: '23'+    expression: x+  number: '-0.4004012548303943925354762115426606336110459329707839598318661065642917068931175906117552701571024738'+- params:+    n: '30'+    k: '23'+    expression: w+  number: '0.04718554656929915394526147818109948648288480730062845719414186155172553328949089702902027652560351550'+- params:+    n: '30'+    k: '24'+    expression: x+  number: '-0.3527047255308781134710372070893738606536310080214256265941844689002694162331910786643603967521135295'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,12,x}+- params:+    n: '30'+    k: '24'+    expression: w+  number: '0.04818586175708712914077949229830459260579923610842980005737335087243379358396936842894267206327029894'+- params:+    n: '30'+    k: '25'+    expression: x+  number: '-0.3040732022736250773726771071992565535311577898094627284442153699831215044238776730400142369990977859'+- params:+    n: '30'+    k: '25'+    expression: w+  number: '0.04905543455502977888752816536723817360588740529529656957949071790132821564459055524752287306524629747'+- params:+    n: '30'+    k: '26'+    expression: x+  number: '-0.2546369261678898464398051298178051078827893033025184261642859750889635315690788029063662813842362026'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,13,x}+- params:+    n: '30'+    k: '26'+    expression: w+  number: '0.04979568342707420635781156937994232853920960281369610895104739284294848264622037765509834192408925020'+- params:+    n: '30'+    k: '27'+    expression: x+  number: '-0.2045251166823098914389576710020247095241042645955637744760446502835032189466324549559256523531714782'+- params:+    n: '30'+    k: '27'+    expression: w+  number: '0.05040592140278234684089308565358502890219701825162223366424395921106671330863528371344774790797370079'+- params:+    n: '30'+    k: '28'+    expression: x+  number: '-0.1538699136085835469637946727432559204185519712443384617189629829157871485108161013969231065107407856'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,14,x}+- params:+    n: '30'+    k: '28'+    expression: w+  number: '0.05088179589874960649229747304980469185338491426091923992077194208097254264678057557113205625407092986'+- params:+    n: '30'+    k: '29'+    expression: x+  number: '-0.1028069379667370301470967513180005924719013329651584055210194691463278825391787273823479714078649021'+- params:+    n: '30'+    k: '29'+    expression: w+  number: '0.05122154784925877217065628260494420825114695242524632755350905680551101540127955397119041272296930862'+- params:+    n: '30'+    k: '30'+    expression: x+  number: '-0.05147184255531769583302521316672257374914145366656956425516084398796475521042710905587009070728548584'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,15,x}+- params:+    n: '30'+    k: '30'+    expression: w+  number: '0.05142612853745902593386287921578125982955203486239598726385582417276158925940689207206611068118422461'+- params:+    n: '30'+    k: '31'+    expression: x+  number: '0'+  comment: $x_{31}=0$, the central node of every rule+  equals: HREF{Zero}+- params:+    n: '30'+    k: '31'+    expression: w+  number: 6807797268792384629824040124156301153658087332819473443421845152170246144000000/132203768118039210856178131041734703445769907460992923212020844025968606678266611+- params:+    n: '30'+    k: '32'+    expression: x+  number: '0.05147184255531769583302521316672257374914145366656956425516084398796475521042710905587009070728548584'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,16,x}+- params:+    n: '30'+    k: '32'+    expression: w+  number: '0.05142612853745902593386287921578125982955203486239598726385582417276158925940689207206611068118422461'+- params:+    n: '30'+    k: '33'+    expression: x+  number: '0.1028069379667370301470967513180005924719013329651584055210194691463278825391787273823479714078649021'+- params:+    n: '30'+    k: '33'+    expression: w+  number: '0.05122154784925877217065628260494420825114695242524632755350905680551101540127955397119041272296930862'+- params:+    n: '30'+    k: '34'+    expression: x+  number: '0.1538699136085835469637946727432559204185519712443384617189629829157871485108161013969231065107407856'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,17,x}+- params:+    n: '30'+    k: '34'+    expression: w+  number: '0.05088179589874960649229747304980469185338491426091923992077194208097254264678057557113205625407092986'+- params:+    n: '30'+    k: '35'+    expression: x+  number: '0.2045251166823098914389576710020247095241042645955637744760446502835032189466324549559256523531714782'+- params:+    n: '30'+    k: '35'+    expression: w+  number: '0.05040592140278234684089308565358502890219701825162223366424395921106671330863528371344774790797370079'+- params:+    n: '30'+    k: '36'+    expression: x+  number: '0.2546369261678898464398051298178051078827893033025184261642859750889635315690788029063662813842362026'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,18,x}+- params:+    n: '30'+    k: '36'+    expression: w+  number: '0.04979568342707420635781156937994232853920960281369610895104739284294848264622037765509834192408925020'+- params:+    n: '30'+    k: '37'+    expression: x+  number: '0.3040732022736250773726771071992565535311577898094627284442153699831215044238776730400142369990977859'+- params:+    n: '30'+    k: '37'+    expression: w+  number: '0.04905543455502977888752816536723817360588740529529656957949071790132821564459055524752287306524629747'+- params:+    n: '30'+    k: '38'+    expression: x+  number: '0.3527047255308781134710372070893738606536310080214256265941844689002694162331910786643603967521135295'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,19,x}+- params:+    n: '30'+    k: '38'+    expression: w+  number: '0.04818586175708712914077949229830459260579923610842980005737335087243379358396936842894267206327029894'+- params:+    n: '30'+    k: '39'+    expression: x+  number: '0.4004012548303943925354762115426606336110459329707839598318661065642917068931175906117552701571024738'+- params:+    n: '30'+    k: '39'+    expression: w+  number: '0.04718554656929915394526147818109948648288480730062845719414186155172553328949089702902027652560351550'+- params:+    n: '30'+    k: '40'+    expression: x+  number: '0.4470337695380891767806099003228540001624075938614244097544773817276153517285842070040068887212418983'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,20,x}+- params:+    n: '30'+    k: '40'+    expression: w+  number: '0.04605923827100698811627173555937358059469287557182492400473237949229360400644605267225297343897863917'+- params:+    n: '30'+    k: '41'+    expression: x+  number: '0.4924804678617785749936930612077087956442656409631869702607334098298842254639635277683704745226202598'+- params:+    n: '30'+    k: '41'+    expression: w+  number: '0.04481480013316266319235555161672324375743139279637300988968020119406350394790789918906106479211191904'+- params:+    n: '30'+    k: '42'+    expression: x+  number: '0.5366241481420198992641697933110727941641780069302971054527434829120149086189783786311411600971899026'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,21,x}+- params:+    n: '30'+    k: '42'+    expression: w+  number: '0.04345253970135606931683172811707325807460330863170316806488880549573864083957386333394208411719654146'+- params:+    n: '30'+    k: '43'+    expression: x+  number: '0.5793452358263616917560249321725404959070515888121528920812601661231283356781224190380997075178380821'+- params:+    n: '30'+    k: '43'+    expression: w+  number: '0.04196981021516424614714754128596975779008865671899237482038872032385265551120036579037994846200615695'+- params:+    n: '30'+    k: '44'+    expression: x+  number: '0.6205261829892428611404775564311892992073646928295281325950511701243353149748891177411525844553278211'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,22,x}+- params:+    n: '30'+    k: '44'+    expression: w+  number: '0.04037453895153595911199527975246811421612606212603025563399828961381084676105974096183682880295957390'+- params:+    n: '30'+    k: '45'+    expression: x+  number: '0.6600610641266269613700536681492707530383503748088339095506719733990493749973452207678802051702968819'+- params:+    n: '30'+    k: '45'+    expression: w+  number: '0.03867894562472759295034865153228105025092362982155384679037613067933740205662070055413910948753375956'+- params:+    n: '30'+    k: '46'+    expression: x+  number: '0.6978504947933157969322923880266400683823538006539546563797228467399767212431599606953816364400890469'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,23,x}+- params:+    n: '30'+    k: '46'+    expression: w+  number: '0.03688236465182122922391106561713596773695516478103033767000519858419613497015416986258419336075124323'+- params:+    n: '30'+    k: '47'+    expression: x+  number: '0.7337900624532268047261711313695276456693817277546854920870139951830001646361332538202466453159731880'+- params:+    n: '30'+    k: '47'+    expression: w+  number: '0.03497933802806002413749967073146787509722691279481871997220845723217778670200874421949847060384678447'+- params:+    n: '30'+    k: '48'+    expression: x+  number: '0.7677774321048261949179773409745031316948836172329084532064943873651585701729950450526096025862396842'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,24,x}+- params:+    n: '30'+    k: '48'+    expression: w+  number: '0.03298144705748372603181419101685392751059929121385838571451934764145231658238100880499451534196920599'+- params:+    n: '30'+    k: '49'+    expression: x+  number: '0.7997278358218390830136689423226832407356984293777845092364734954868666256732600722919520252418535647'+- params:+    n: '30'+    k: '49'+    expression: w+  number: '0.03090725756238776247288425294309227263527045852380715342684048696402208618987405694771744632818713127'+- params:+    n: '30'+    k: '50'+    expression: x+  number: '0.8295657623827683974428981197325019164390686961703416788069529834536565065895816350829524435081401600'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,25,x}+- params:+    n: '30'+    k: '50'+    expression: w+  number: '0.02875404876504129284397878535433421114467916054207493003510228075913217481546983422785466051536600314'+- params:+    n: '30'+    k: '51'+    expression: x+  number: '0.8572052335460610989586585106589438568208001706235961285050455173911988722571293268803112070465719564'+- params:+    n: '30'+    k: '51'+    expression: w+  number: '0.02650995488233310161060170933507541436651757952274856577086743833847213890365807761765252275993447490'+- params:+    n: '30'+    k: '52'+    expression: x+  number: '0.8825605357920526815431164625302255900566891471464842320683260531216162626951916557292158382857321049'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,26,x}+- params:+    n: '30'+    k: '52'+    expression: w+  number: '0.02419116207808060136568637072523202676039137782818246243222894356294488526750107068800647096287174366'+- params:+    n: '30'+    k: '53'+    expression: x+  number: '0.9055733076999077985465225589259583195689753636622284135640476639780376023944963191358507442684257416'+- params:+    n: '30'+    k: '53'+    expression: w+  number: '0.02182803582160919229716748573833899340150729605683491277363042235872043940338255907935605860239387980'+- params:+    n: '30'+    k: '54'+    expression: x+  number: '0.9262000474292743258793242770804740040864745368253290609110371336794229956511023268167728801505588624'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,27,x}+- params:+    n: '30'+    k: '54'+    expression: w+  number: '0.01941414119394238117340895105012845585142101419143152577027606653649717907902554048607272611462876361'+- params:+    n: '30'+    k: '55'+    expression: x+  number: '0.9443744447485599794158313240374391215856437149649809318174894013952091700065734275344887137684984852'+- params:+    n: '30'+    k: '55'+    expression: w+  number: '0.01692088918905327262757228942032209236856670378383519113988341084054667997855186104362008945168114602'+- params:+    n: '30'+    k: '56'+    expression: x+  number: '0.9600218649683075122168710255817976629303592174039233994856616724249399577070684292271894437038000238'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,28,x}+- params:+    n: '30'+    k: '56'+    expression: w+  number: '0.01436972950704580481245143244358001019584189989500150587356589940300019866249582190614427468289422259'+- params:+    n: '30'+    k: '57'+    expression: x+  number: '0.9731163225011262683746938684237068848876379642834393385375585018562411895816683828830856170826148637'+- params:+    n: '30'+    k: '57'+    expression: w+  number: '0.01182301525349634174223289885325059289626440625060781832630243154826536515585518273940170003251914145'+- params:+    n: '30'+    k: '58'+    expression: x+  number: '0.9836681232797472099700325816056628019403178547097113635171800101511442953647910437020759716603547137'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,29,x}+- params:+    n: '30'+    k: '58'+    expression: w+  number: '0.009273279659517763428441146892024360421270024938193107696495646914362666555743438549232578459634311215'+- params:+    n: '30'+    k: '59'+    expression: x+  number: '0.9916309968704045948586283661094857248505003337461632551001992334980748960326079660555619149584357523'+- params:+    n: '30'+    k: '59'+    expression: w+  number: '0.006630703915931292173319826369750168133628388217781258597395559735783756827773192132773181584451259816'+- params:+    n: '30'+    k: '60'+    expression: x+  number: '0.9968934840746495402716300509186952833408820381177507901080942978023876952101637408158820195580617174'+  equals: HREF{Nodes_and_weights_of_Gauss_Legendre_quadrature#30,30,x}+- params:+    n: '30'+    k: '60'+    expression: w+  number: '0.003890461127099884051267201844515503278515142984886464921420010128114473367645545106122627365594103835'+- params:+    n: '30'+    k: '61'+    expression: x+  number: '0.9994844100504906375713258957058108194688739470185080192363264283074801667484358783065646882314543572'+- params:+    n: '30'+    k: '61'+    expression: w+  number: '0.001389013698677007624551591226759699681048841291963272453441105533230136713098986536695625155642382048'
History of Nodes and weights of Gauss–Kronrod quadrature

What changed between 2026-09-03 01:49 and 2026-09-03 01:49
