Gaussian Quadrature Weights and Abscissae

This page is a tabulation of weights and abscissae for use in performing Legendre-Gauss quadrature integral approximation, which tries to solve the following function

by picking approxiate values for n, wi and xi. While only defined for the interval [-1,1], this is actually a universal function, because we can convert the limits of integration for any interval [a,b] to the Legendre-Gauss interval [-1,1]:

The summation function is called the Legendre-Gauss quadrature rule because the abscissae xi in the Gauss quadrature function for [-1,1] are defined as the roots of the Legendre polynomial for n:

with the weights wi coming from the following function:

(The procedure is explained in more detail here, with a very accessible video lecture on the theory behind the Gauss quadrature rule here)

The tables provided here give the values for xi and wi for n=2 through n=64, with an internal decimal precision of 256, limited to 16 decimals due to floating point number limits in PHP. These tables were made using the numbers that are generated by the following series of Mathematica instructions:

    symboliclegendre[n_, x_] := Solve[LegendreP[n, x] == 0];
    legendreprime[n_, a_] := D[LegendreP[n, x], x] /. x -> a;
    weights[n_, x_] := 2/((1 - x^2) legendreprime[n, x]^2);

    (*how many terms should be generated*)
    h = 64;

    (* what numerical precision is desired? *)
    precision = 256;

    str = OpenWrite["lgvalues.txt"];
    Write[str, "abcissae"];
    Do[Write[str]; Write[str, n]; Write[str];
      nlist = symboliclegendre[n, x];
      xnlist = x /. nlist;
      Do[Write[str, N[Part[xnlist, i], precision]], {i, Length[xnlist]}];, {n, 2, h}];
    Write[str, "weights"];
    Do[Write[str]; Write[str, n]; Write[str];
      slist := symboliclegendre[n, x];
      xslist = x /. slist;
      Do[Write[str, N[weights[n, Part[xslist, i]], precision]], {i, Length[xslist]}];, {n, 2, h}];
    Close[str];

If you need higher precision than is presented on this web page you can either download the abscissae and weights files below, or you can run this program in Mathematica yourself, with higher precision and/or higher h values.

Weights and Abscissae Tables for n=2 to n=64

n = 2

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
11.0000000000000000-0.5773502691896257
21.00000000000000000.5773502691896257

n = 3

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.88888888888888880.0000000000000000
20.5555555555555556-0.7745966692414834
30.55555555555555560.7745966692414834

n = 4

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.6521451548625461-0.3399810435848563
20.65214515486254610.3399810435848563
30.3478548451374538-0.8611363115940526
40.34785484513745380.8611363115940526

n = 5

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.56888888888888890.0000000000000000
20.4786286704993665-0.5384693101056831
30.47862867049936650.5384693101056831
40.2369268850561891-0.9061798459386640
50.23692688505618910.9061798459386640

n = 6

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.36076157304813860.6612093864662645
20.3607615730481386-0.6612093864662645
30.4679139345726910-0.2386191860831969
40.46791393457269100.2386191860831969
50.1713244923791704-0.9324695142031521
60.17132449237917040.9324695142031521

n = 7

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.41795918367346940.0000000000000000
20.38183005050511890.4058451513773972
30.3818300505051189-0.4058451513773972
40.2797053914892766-0.7415311855993945
50.27970539148927660.7415311855993945
60.1294849661688697-0.9491079123427585
70.12948496616886970.9491079123427585

n = 8

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.3626837833783620-0.1834346424956498
20.36268378337836200.1834346424956498
30.3137066458778873-0.5255324099163290
40.31370664587788730.5255324099163290
50.2223810344533745-0.7966664774136267
60.22238103445337450.7966664774136267
70.1012285362903763-0.9602898564975363
80.10122853629037630.9602898564975363

n = 9

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.33023935500125980.0000000000000000
20.1806481606948574-0.8360311073266358
30.18064816069485740.8360311073266358
40.0812743883615744-0.9681602395076261
50.08127438836157440.9681602395076261
60.3123470770400029-0.3242534234038089
70.31234707704000290.3242534234038089
80.2606106964029354-0.6133714327005904
90.26061069640293540.6133714327005904

n = 10

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.2955242247147529-0.1488743389816312
20.29552422471475290.1488743389816312
30.2692667193099963-0.4333953941292472
40.26926671930999630.4333953941292472
50.2190863625159820-0.6794095682990244
60.21908636251598200.6794095682990244
70.1494513491505806-0.8650633666889845
80.14945134915058060.8650633666889845
90.0666713443086881-0.9739065285171717
100.06667134430868810.9739065285171717

n = 11

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.27292508677790060.0000000000000000
20.2628045445102467-0.2695431559523450
30.26280454451024670.2695431559523450
40.2331937645919905-0.5190961292068118
50.23319376459199050.5190961292068118
60.1862902109277343-0.7301520055740494
70.18629021092773430.7301520055740494
80.1255803694649046-0.8870625997680953
90.12558036946490460.8870625997680953
100.0556685671161737-0.9782286581460570
110.05566856711617370.9782286581460570

n = 12

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.2491470458134028-0.1252334085114689
20.24914704581340280.1252334085114689
30.2334925365383548-0.3678314989981802
40.23349253653835480.3678314989981802
50.2031674267230659-0.5873179542866175
60.20316742672306590.5873179542866175
70.1600783285433462-0.7699026741943047
80.16007832854334620.7699026741943047
90.1069393259953184-0.9041172563704749
100.10693932599531840.9041172563704749
110.0471753363865118-0.9815606342467192
120.04717533638651180.9815606342467192

n = 13

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.23255155323087390.0000000000000000
20.2262831802628972-0.2304583159551348
30.22628318026289720.2304583159551348
40.2078160475368885-0.4484927510364469
50.20781604753688850.4484927510364469
60.1781459807619457-0.6423493394403402
70.17814598076194570.6423493394403402
80.1388735102197872-0.8015780907333099
90.13887351021978720.8015780907333099
100.0921214998377285-0.9175983992229779
110.09212149983772850.9175983992229779
120.0404840047653159-0.9841830547185881
130.04048400476531590.9841830547185881

n = 14

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.2152638534631578-0.1080549487073437
20.21526385346315780.1080549487073437
30.2051984637212956-0.3191123689278897
40.20519846372129560.3191123689278897
50.1855383974779378-0.5152486363581541
60.18553839747793780.5152486363581541
70.1572031671581935-0.6872929048116855
80.15720316715819350.6872929048116855
90.1215185706879032-0.8272013150697650
100.12151857068790320.8272013150697650
110.0801580871597602-0.9284348836635735
120.08015808715976020.9284348836635735
130.0351194603317519-0.9862838086968123
140.03511946033175190.9862838086968123

n = 15

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.20257824192556130.0000000000000000
20.1984314853271116-0.2011940939974345
30.19843148532711160.2011940939974345
40.1861610000155622-0.3941513470775634
50.18616100001556220.3941513470775634
60.1662692058169939-0.5709721726085388
70.16626920581699390.5709721726085388
80.1395706779261543-0.7244177313601701
90.13957067792615430.7244177313601701
100.1071592204671719-0.8482065834104272
110.10715922046717190.8482065834104272
120.0703660474881081-0.9372733924007060
130.07036604748810810.9372733924007060
140.0307532419961173-0.9879925180204854
150.03075324199611730.9879925180204854

n = 16

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.1894506104550685-0.0950125098376374
20.18945061045506850.0950125098376374
30.1826034150449236-0.2816035507792589
40.18260341504492360.2816035507792589
50.1691565193950025-0.4580167776572274
60.16915651939500250.4580167776572274
70.1495959888165767-0.6178762444026438
80.14959598881657670.6178762444026438
90.1246289712555339-0.7554044083550030
100.12462897125553390.7554044083550030
110.0951585116824928-0.8656312023878318
120.09515851168249280.8656312023878318
130.0622535239386479-0.9445750230732326
140.06225352393864790.9445750230732326
150.0271524594117541-0.9894009349916499
160.02715245941175410.9894009349916499

n = 17

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.17944647035620650.0000000000000000
20.1765627053669926-0.1784841814958479
30.17656270536699260.1784841814958479
40.1680041021564500-0.3512317634538763
50.16800410215645000.3512317634538763
60.1540457610768103-0.5126905370864769
70.15404576107681030.5126905370864769
80.1351363684685255-0.6576711592166907
90.13513636846852550.6576711592166907
100.1118838471934040-0.7815140038968014
110.11188384719340400.7815140038968014
120.0850361483171792-0.8802391537269859
130.08503614831717920.8802391537269859
140.0554595293739872-0.9506755217687678
150.05545952937398720.9506755217687678
160.0241483028685479-0.9905754753144174
170.02414830286854790.9905754753144174

n = 18

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.1691423829631436-0.0847750130417353
20.16914238296314360.0847750130417353
30.1642764837458327-0.2518862256915055
40.16427648374583270.2518862256915055
50.1546846751262652-0.4117511614628426
60.15468467512626520.4117511614628426
70.1406429146706507-0.5597708310739475
80.14064291467065070.5597708310739475
90.1225552067114785-0.6916870430603532
100.12255520671147850.6916870430603532
110.1009420441062872-0.8037049589725231
120.10094204410628720.8037049589725231
130.0764257302548891-0.8926024664975557
140.07642573025488910.8926024664975557
150.0497145488949698-0.9558239495713977
160.04971454889496980.9558239495713977
170.0216160135264833-0.9915651684209309
180.02161601352648330.9915651684209309

n = 19

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.16105444984878370.0000000000000000
20.1589688433939543-0.1603586456402254
30.15896884339395430.1603586456402254
40.1527660420658597-0.3165640999636298
50.15276604206585970.3165640999636298
60.1426067021736066-0.4645707413759609
70.14260670217360660.4645707413759609
80.1287539625393362-0.6005453046616810
90.12875396253933620.6005453046616810
100.1115666455473340-0.7209661773352294
110.11156664554733400.7209661773352294
120.0914900216224500-0.8227146565371428
130.09149002162245000.8227146565371428
140.0690445427376412-0.9031559036148179
150.06904454273764120.9031559036148179
160.0448142267656996-0.9602081521348300
170.04481422676569960.9602081521348300
180.0194617882297265-0.9924068438435844
190.01946178822972650.9924068438435844

n = 20

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.1527533871307258-0.0765265211334973
20.15275338713072580.0765265211334973
30.1491729864726037-0.2277858511416451
40.14917298647260370.2277858511416451
50.1420961093183820-0.3737060887154195
60.14209610931838200.3737060887154195
70.1316886384491766-0.5108670019508271
80.13168863844917660.5108670019508271
90.1181945319615184-0.6360536807265150
100.11819453196151840.6360536807265150
110.1019301198172404-0.7463319064601508
120.10193011981724040.7463319064601508
130.0832767415767048-0.8391169718222188
140.08327674157670480.8391169718222188
150.0626720483341091-0.9122344282513259
160.06267204833410910.9122344282513259
170.0406014298003869-0.9639719272779138
180.04060142980038690.9639719272779138
190.0176140071391521-0.9931285991850949
200.01761400713915210.9931285991850949

n = 21

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.14608113364969040.0000000000000000
20.1445244039899700-0.1455618541608951
30.14452440398997000.1455618541608951
40.1398873947910731-0.2880213168024011
50.13988739479107310.2880213168024011
60.1322689386333375-0.4243421202074388
70.13226893863333750.4243421202074388
80.1218314160537285-0.5516188358872198
90.12183141605372850.5516188358872198
100.1087972991671484-0.6671388041974123
110.10879729916714840.6671388041974123
120.0934444234560339-0.7684399634756779
130.09344442345603390.7684399634756779
140.0761001136283793-0.8533633645833173
150.07610011362837930.8533633645833173
160.0571344254268572-0.9200993341504008
170.05713442542685720.9200993341504008
180.0369537897708525-0.9672268385663063
190.03695378977085250.9672268385663063
200.0160172282577743-0.9937521706203895
210.01601722825777430.9937521706203895

n = 22

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.1392518728556320-0.0697392733197222
20.13925187285563200.0697392733197222
30.1365414983460152-0.2078604266882213
40.13654149834601520.2078604266882213
50.1311735047870624-0.3419358208920842
60.13117350478706240.3419358208920842
70.1232523768105124-0.4693558379867570
80.12325237681051240.4693558379867570
90.1129322960805392-0.5876404035069116
100.11293229608053920.5876404035069116
110.1004141444428810-0.6944872631866827
120.10041414444288100.6944872631866827
130.0859416062170677-0.7878168059792081
140.08594160621706770.7878168059792081
150.0697964684245205-0.8658125777203002
160.06979646842452050.8658125777203002
170.0522933351526833-0.9269567721871740
180.05229333515268330.9269567721871740
190.0337749015848142-0.9700604978354287
200.03377490158481420.9700604978354287
210.0146279952982722-0.9942945854823992
220.01462799529827220.9942945854823992

n = 23

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.13365457218610620.0000000000000000
20.1324620394046966-0.1332568242984661
30.13246203940469660.1332568242984661
40.1289057221880822-0.2641356809703450
50.12890572218808220.2641356809703450
60.1230490843067295-0.3903010380302908
70.12304908430672950.3903010380302908
80.1149966402224114-0.5095014778460075
90.11499664022241140.5095014778460075
100.1048920914645414-0.6196098757636461
110.10489209146454140.6196098757636461
120.0929157660600352-0.7186613631319502
130.09291576606003520.7186613631319502
140.0792814117767189-0.8048884016188399
150.07928141177671890.8048884016188399
160.0642324214085258-0.8767523582704416
170.06423242140852580.8767523582704416
180.0480376717310847-0.9329710868260161
190.04803767173108470.9329710868260161
200.0309880058569794-0.9725424712181152
210.03098800585697940.9725424712181152
220.0134118594871418-0.9947693349975522
230.01341185948714180.9947693349975522

n = 24

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.1279381953467522-0.0640568928626056
20.12793819534675220.0640568928626056
30.1258374563468283-0.1911188674736163
40.12583745634682830.1911188674736163
50.1216704729278034-0.3150426796961634
60.12167047292780340.3150426796961634
70.1155056680537256-0.4337935076260451
80.11550566805372560.4337935076260451
90.1074442701159656-0.5454214713888396
100.10744427011596560.5454214713888396
110.0976186521041139-0.6480936519369755
120.09761865210411390.6480936519369755
130.0861901615319533-0.7401241915785544
140.08619016153195330.7401241915785544
150.0733464814110803-0.8200019859739029
160.07334648141108030.8200019859739029
170.0592985849154368-0.8864155270044011
180.05929858491543680.8864155270044011
190.0442774388174198-0.9382745520027328
200.04427743881741980.9382745520027328
210.0285313886289337-0.9747285559713095
220.02853138862893370.9747285559713095
230.0123412297999872-0.9951872199970213
240.01234122979998720.9951872199970213

n = 25

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.12317605372671540.0000000000000000
20.1222424429903100-0.1228646926107104
30.12224244299031000.1228646926107104
40.1194557635357848-0.2438668837209884
50.11945576353578480.2438668837209884
60.1148582591457116-0.3611723058093879
70.11485825914571160.3611723058093879
80.1085196244742637-0.4730027314457150
90.10851962447426370.4730027314457150
100.1005359490670506-0.5776629302412229
110.10053594906705060.5776629302412229
120.0910282619829637-0.6735663684734684
130.09102826198296370.6735663684734684
140.0801407003350010-0.7592592630373576
150.08014070033500100.7592592630373576
160.0680383338123569-0.8334426287608340
170.06803833381235690.8334426287608340
180.0549046959758352-0.8949919978782753
190.05490469597583520.8949919978782753
200.0409391567013063-0.9429745712289743
210.04093915670130630.9429745712289743
220.0263549866150321-0.9766639214595175
230.02635498661503210.9766639214595175
240.0113937985010263-0.9955569697904981
250.01139379850102630.9955569697904981

n = 26

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.1183214152792623-0.0592300934293132
20.11832141527926230.0592300934293132
30.1166604434852966-0.1768588203568902
40.11666044348529660.1768588203568902
50.1133618165463197-0.2920048394859569
60.11336181654631970.2920048394859569
70.1084718405285766-0.4030517551234863
80.10847184052857660.4030517551234863
90.1020591610944254-0.5084407148245057
100.10205916109442540.5084407148245057
110.0942138003559141-0.6066922930176181
120.09421380035591410.6066922930176181
130.0850458943134852-0.6964272604199573
140.08504589431348520.6964272604199573
150.0746841497656597-0.7763859488206789
160.07468414976565970.7763859488206789
170.0632740463295748-0.8454459427884981
180.06327404632957480.8454459427884981
190.0509758252971478-0.9026378619843071
200.05097582529714780.9026378619843071
210.0379623832943628-0.9471590666617142
220.03796238329436280.9471590666617142
230.0244178510926319-0.9783854459564710
240.02441785109263190.9783854459564710
250.0105513726173430-0.9958857011456169
260.01055137261734300.9958857011456169

n = 27

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.11422086737895700.0000000000000000
20.1134763461089651-0.1139725856095300
30.11347634610896510.1139725856095300
40.1112524883568452-0.2264593654395368
50.11125248835684520.2264593654395368
60.1075782857885332-0.3359939036385089
70.10757828578853320.3359939036385089
80.1025016378177458-0.4411482517500269
90.10250163781774580.4411482517500269
100.0960887273700285-0.5405515645794569
110.09608872737002850.5405515645794569
120.0884231585437569-0.6329079719464952
130.08842315854375690.6329079719464952
140.0796048677730578-0.7170134737394237
150.07960486777305780.7170134737394237
160.0697488237662456-0.7917716390705082
170.06974882376624560.7917716390705082
180.0589835368598336-0.8562079080182945
190.05898353685983360.8562079080182945
200.0474494125206151-0.9094823206774911
210.04744941252061510.9094823206774911
220.0352970537574197-0.9509005578147051
230.03529705375741970.9509005578147051
240.0226862315961806-0.9799234759615012
250.02268623159618060.9799234759615012
260.0097989960512944-0.9961792628889886
270.00979899605129440.9961792628889886

n = 28

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.1100470130164752-0.0550792898840343
20.11004701301647520.0550792898840343
30.1087111922582941-0.1645692821333808
40.10871119225829410.1645692821333808
50.1060557659228464-0.2720616276351781
60.10605576592284640.2720616276351781
70.1021129675780608-0.3762515160890787
80.10211296757806080.3762515160890787
90.0969306579979299-0.4758742249551183
100.09693065799792990.4758742249551183
110.0905717443930328-0.5697204718114017
120.09057174439303280.5697204718114017
130.0831134172289012-0.6566510940388650
140.08311341722890120.6566510940388650
150.0746462142345688-0.7356108780136318
160.07464621423456880.7356108780136318
170.0652729239669996-0.8056413709171791
180.06527292396699960.8056413709171791
190.0551073456757167-0.8658925225743951
200.05510734567571670.8658925225743951
210.0442729347590042-0.9156330263921321
220.04427293475900420.9156330263921321
230.0329014277823044-0.9542592806289382
240.03290142778230440.9542592806289382
250.0211321125927713-0.9813031653708727
260.02113211259277130.9813031653708727
270.0091242825930945-0.9964424975739544
280.00912428259309450.9964424975739544

n = 29

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.10647938171831420.0000000000000000
20.1058761550973209-0.1062782301326792
30.10587615509732090.1062782301326792
40.1040733100777294-0.2113522861660011
50.10407331007772940.2113522861660011
60.1010912737599150-0.3140316378676399
70.10109127375991500.3140316378676399
80.0969638340944086-0.4131528881740086
90.09696383409440860.4131528881740086
100.0917377571392588-0.5075929551242276
110.09173775713925880.5075929551242276
120.0854722573661725-0.5962817971382278
130.08547225736617250.5962817971382278
140.0782383271357638-0.6782145376026865
150.07823832713576380.6782145376026865
160.0701179332550513-0.7524628517344771
170.07011793325505130.7524628517344771
180.0612030906570791-0.8181854876152524
190.06120309065707910.8181854876152524
200.0515948269024979-0.8746378049201028
210.05159482690249790.8746378049201028
220.0414020625186828-0.9211802329530587
230.04140206251868280.9211802329530587
240.0307404922020936-0.9572855957780877
250.03074049220209360.9572855957780877
260.0197320850561227-0.9825455052614132
270.01973208505612270.9825455052614132
280.0085169038787464-0.9966794422605966
290.00851690387874640.9966794422605966

n = 30

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.1028526528935588-0.0514718425553177
20.10285265289355880.0514718425553177
30.1017623897484055-0.1538699136085835
40.10176238974840550.1538699136085835
50.0995934205867953-0.2546369261678899
60.09959342058679530.2546369261678899
70.0963687371746443-0.3527047255308781
80.09636873717464430.3527047255308781
90.0921225222377861-0.4470337695380892
100.09212252223778610.4470337695380892
110.0868997872010830-0.5366241481420199
120.08689978720108300.5366241481420199
130.0807558952294202-0.6205261829892429
140.08075589522942020.6205261829892429
150.0737559747377052-0.6978504947933158
160.07375597473770520.6978504947933158
170.0659742298821805-0.7677774321048262
180.06597422988218050.7677774321048262
190.0574931562176191-0.8295657623827684
200.05749315621761910.8295657623827684
210.0484026728305941-0.8825605357920527
220.04840267283059410.8825605357920527
230.0387991925696271-0.9262000474292743
240.03879919256962710.9262000474292743
250.0287847078833234-0.9600218649683075
260.02878470788332340.9600218649683075
270.0184664683110910-0.9836681232797472
280.01846646831109100.9836681232797472
290.0079681924961666-0.9968934840746495
300.00796819249616660.9968934840746495

n = 31

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.09972054479342650.0000000000000000
20.0992250112266723-0.0995553121523415
30.09922501122667230.0995553121523415
40.0977433353863287-0.1981211993355706
50.09774333538632870.1981211993355706
60.0952902429123195-0.2947180699817016
70.09529024291231950.2947180699817016
80.0918901138936415-0.3883859016082329
90.09189011389364150.3883859016082329
100.0875767406084779-0.4781937820449025
110.08757674060847790.4781937820449025
120.0823929917615893-0.5632491614071493
130.08239299176158930.5632491614071493
140.0763903865987766-0.6427067229242603
150.07639038659877660.6427067229242603
160.0696285832354104-0.7157767845868532
170.06962858323541040.7157767845868532
180.0621747865610284-0.7817331484166249
190.06217478656102840.7817331484166249
200.0541030824249169-0.8399203201462674
210.05410308242491690.8399203201462674
220.0454937075272011-0.8897600299482711
230.04549370752720110.8897600299482711
240.0364322739123855-0.9307569978966481
250.03643227391238550.9307569978966481
260.0270090191849794-0.9625039250929497
270.02700901918497940.9625039250929497
280.0173186207903106-0.9846859096651525
290.01731862079031060.9846859096651525
300.0074708315792488-0.9970874818194770
310.00747083157924880.9970874818194770

n = 32

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0965400885147278-0.0483076656877383
20.09654008851472780.0483076656877383
30.0956387200792749-0.1444719615827965
40.09563872007927490.1444719615827965
50.0938443990808046-0.2392873622521371
60.09384439908080460.2392873622521371
70.0911738786957639-0.3318686022821277
80.09117387869576390.3318686022821277
90.0876520930044038-0.4213512761306353
100.08765209300440380.4213512761306353
110.0833119242269467-0.5068999089322294
120.08331192422694670.5068999089322294
130.0781938957870703-0.5877157572407623
140.07819389578707030.5877157572407623
150.0723457941088485-0.6630442669302152
160.07234579410884850.6630442669302152
170.0658222227763618-0.7321821187402897
180.06582222277636180.7321821187402897
190.0586840934785355-0.7944837959679424
200.05868409347853550.7944837959679424
210.0509980592623762-0.8493676137325700
220.05099805926237620.8493676137325700
230.0428358980222267-0.8963211557660521
240.04283589802222670.8963211557660521
250.0342738629130214-0.9349060759377397
260.03427386291302140.9349060759377397
270.0253920653092621-0.9647622555875064
280.02539206530926210.9647622555875064
290.0162743947309057-0.9856115115452684
300.01627439473090570.9856115115452684
310.0070186100094701-0.9972638618494816
320.00701861000947010.9972638618494816

n = 33

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.09376844616021000.0000000000000000
20.0933564260655961-0.0936310658547334
30.09335642606559610.0936310658547334
40.0921239866433168-0.1864392988279916
50.09212398664331680.1864392988279916
60.0900819586606386-0.2776090971524970
70.09008195866063860.2776090971524970
80.0872482876188443-0.3663392577480734
90.08724828761884430.3663392577480734
100.0836478760670387-0.4518500172724507
110.08364787606703870.4518500172724507
120.0793123647948867-0.5333899047863476
130.07931236479488670.5333899047863476
140.0742798548439541-0.6102423458363790
150.07427985484395410.6102423458363790
160.0685945728186567-0.6817319599697428
170.06859457281865670.6817319599697428
180.0623064825303175-0.7472304964495622
190.06230648253031750.7472304964495622
200.0554708466316636-0.8061623562741665
210.05547084663166360.8061623562741665
220.0481477428187117-0.8580096526765041
230.04814774281871170.8580096526765041
240.0404015413316696-0.9023167677434336
250.04040154133166960.9023167677434336
260.0323003586323290-0.9386943726111684
270.03230035863232900.9386943726111684
280.0239155481017495-0.9668229096899927
290.02391554810174950.9668229096899927
300.0153217015129347-0.9864557262306425
310.01532170151293470.9864557262306425
320.0066062278475874-0.9974246942464552
330.00660622784758740.9974246942464552

n = 34

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0909567403302599-0.0455098219531025
20.09095674033025990.0455098219531025
30.0902030443706407-0.1361523572591830
40.09020304437064070.1361523572591830
50.0887018978356939-0.2256666916164495
60.08870189783569390.2256666916164495
70.0864657397470358-0.3133110813394632
80.08646573974703580.3133110813394632
90.0835130996998457-0.3983592777586459
100.08351309969984570.3983592777586459
110.0798684443397718-0.4801065451903270
120.07986844433977180.4801065451903270
130.0755619746600319-0.5578755006697467
140.07556197466003190.5578755006697467
150.0706293758142557-0.6310217270805285
160.07062937581425570.6310217270805285
170.0651115215540764-0.6989391132162629
180.06511152155407640.6989391132162629
190.0590541358275245-0.7610648766298730
200.05905413582752450.7610648766298730
210.0525074145726781-0.8168842279009336
220.05250741457267810.8168842279009336
230.0455256115233533-0.8659346383345645
240.04552561152335330.8659346383345645
250.0381665937963875-0.9078096777183244
260.03816659379638750.9078096777183244
270.0304913806384461-0.9421623974051071
280.03049138063844610.9421623974051071
290.0225637219854950-0.9687082625333443
300.02256372198549500.9687082625333443
310.0144501627485950-0.9872278164063095
320.01445016274859500.9872278164063095
330.0062291405559087-0.9975717537908420
340.00622914055590870.9975717537908420

n = 35

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.08848679490710430.0000000000000000
20.0881405304302755-0.0883713432756593
30.08814053043027550.0883713432756593
40.0871044469971835-0.1760510611659896
50.08710444699718350.1760510611659896
60.0853866533920991-0.2623529412092960
70.08538665339209910.2623529412092960
80.0830005937288566-0.3466015544308139
90.08300059372885660.3466015544308139
100.0799649422423243-0.4281375415178142
110.07996494224232430.4281375415178142
120.0763034571554421-0.5063227732414887
130.07630345715544210.5063227732414887
140.0720447947725601-0.5805453447497645
150.07204479477256010.5805453447497645
160.0672222852690869-0.6502243646658904
170.06722228526908690.6502243646658904
180.0618736719660802-0.7148145015566287
190.06187367196608020.7148145015566287
200.0560408162123701-0.7738102522869126
210.05604081621237010.7738102522869126
220.0497693704013535-0.8267498990922254
230.04976937040135350.8267498990922254
240.0431084223261702-0.8732191250252224
250.04310842232617020.8732191250252224
260.0361101158634634-0.9128542613593176
270.03611011586346340.9128542613593176
280.0288292601088943-0.9453451482078273
290.02882926010889430.9453451482078273
300.0213229799114836-0.9704376160392298
310.02132297991148360.9704376160392298
320.0136508283483615-0.9879357644438514
330.01365082834836150.9879357644438514
340.0058834334204431-0.9977065690996003
350.00588343342044310.9977065690996003

n = 36

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0859832756703948-0.0430181984737086
20.08598327567039480.0430181984737086
30.0853466857393386-0.1287361038093848
40.08534668573933860.1287361038093848
50.0840782189796619-0.2135008923168656
60.08407821897966190.2135008923168656
70.0821872667043397-0.2966849953440283
80.08218726670433970.2966849953440283
90.0796878289120716-0.3776725471196892
100.07968782891207160.3776725471196892
110.0765984106458707-0.4558639444334203
120.07659841064587070.4558639444334203
130.0729418850056531-0.5306802859262452
140.07294188500565310.5306802859262452
150.0687453238357364-0.6015676581359806
160.06874532383573640.6015676581359806
170.0640397973550155-0.6680012365855210
180.06403979735501550.6680012365855210
190.0588601442453248-0.7294891715935565
200.05886014424532480.7294891715935565
210.0532447139777599-0.7855762301322066
220.05324471397775990.7855762301322066
230.0472350834902660-0.8358471669924753
240.04723508349026600.8358471669924753
250.0408757509236449-0.8799298008903972
260.04087575092364490.8799298008903972
270.0342138107703072-0.9174977745156591
280.03421381077030720.9174977745156591
290.0272986214985688-0.9482729843995076
300.02729862149856880.9482729843995076
310.0201815152977355-0.9720276910496980
320.02018151529773550.9720276910496980
330.0129159472840656-0.9885864789022122
340.01291594728406560.9885864789022122
350.0055657196642450-0.9978304624840858
360.00556571966424500.9978304624840858

n = 37

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.08376836099313890.0000000000000000
20.0834745736258628-0.0836704089547699
30.08347457362586280.0836704089547699
40.0825952722364373-0.1667539302398520
50.08259527223643730.1667539302398520
60.0811366245084650-0.2486677927913657
70.08113662450846500.2486677927913657
80.0791088618375294-0.3288374298837070
90.07910886183752940.3288374298837070
100.0765262075705292-0.4067005093183261
110.07652620757052920.4067005093183261
120.0734067772484882-0.4817108778032055
130.07340677724848820.4817108778032055
140.0697724515557003-0.5533423918615817
150.06977245155570030.5533423918615817
160.0656487228727513-0.6210926084089244
170.06564872287275130.6210926084089244
180.0610645165232260-0.6844863091309593
190.06106451652322600.6844863091309593
200.0560519879982749-0.7430788339819653
210.05605198799827490.7430788339819653
220.0506462976548246-0.7964592005099023
230.05064629765482460.7964592005099023
240.0448853646624372-0.8442529873405560
250.04488536466243720.8442529873405560
260.0388096025019345-0.8861249621554861
270.03880960250193450.8861249621554861
280.0324616398475215-0.9217814374124638
290.03246163984752150.9217814374124638
300.0258860369905589-0.9509723432620948
310.02588603699055890.9509723432620948
320.0191290444890840-0.9734930300564858
330.01912904448908400.9734930300564858
340.0122387801003076-0.9891859632143192
350.01223878010030760.9891859632143192
360.0052730572794979-0.9979445824779136
370.00527305727949790.9979445824779136

n = 38

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0815250292803858-0.0407851479045782
20.08152502928038580.0407851479045782
30.0809824937705971-0.1220840253378674
40.08098249377059710.1220840253378674
50.0799010332435278-0.2025704538921167
60.07990103324352780.2025704538921167
70.0782878446582110-0.2817088097901653
80.07828784465821100.2817088097901653
90.0761536635484464-0.3589724404794350
100.07615366354844640.3589724404794350
110.0735126925847435-0.4338471694323765
120.07351269258474350.4338471694323765
130.0703825070668990-0.5058347179279311
140.07038250706689900.5058347179279311
150.0667839379791404-0.5744560210478071
160.06678393797914040.5744560210478071
170.0627409333921331-0.6392544158296817
180.06274093339213310.6392544158296817
190.0582803991469972-0.6997986803791844
200.05828039914699720.6997986803791844
210.0534320199103323-0.7556859037539707
220.05343201991033230.7556859037539707
230.0482280618607587-0.8065441676053168
240.04822806186075870.8065441676053168
250.0427031585046744-0.8520350219323621
260.04270315850467440.8520350219323621
270.0368940815940247-0.8918557390046322
280.03689408159402470.8918557390046322
290.0308395005451751-0.9257413320485844
300.03083950054517510.9257413320485844
310.0245797397382324-0.9534663309335296
320.02457973973823240.9534663309335296
330.0181565777096132-0.9748463285901535
340.01815657770961320.9748463285901535
350.0116134447164687-0.9897394542663855
360.01161344471646870.9897394542663855
370.0050028807496393-0.9980499305356876
380.00500288074963930.9980499305356876

n = 39

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.07952762213944290.0000000000000000
20.0792762225683685-0.0794438046087555
30.07927622256836850.0794438046087555
40.0785236132873712-0.1583853399978378
50.07852361328737120.1583853399978378
60.0772745525446820-0.2363255124618358
70.07727455254468200.2363255124618358
80.0755369373228361-0.3127715592481859
90.07553693732283610.3127715592481859
100.0733217534142686-0.3872401639715615
110.07332175341426860.3872401639715615
120.0706430059706088-0.4592605123091361
130.07064300597060880.4592605123091361
140.0675176309662313-0.5283772686604374
150.06751763096623130.5283772686604374
160.0639653881386824-0.5941534549572780
170.06396538813868240.5941534549572780
180.0600087360885962-0.6561732134320110
190.06000873608859620.6561732134320110
200.0556726903409163-0.7140444358945347
210.05567269034091630.7140444358945347
220.0509846652921294-0.7674012429310635
230.05098466529212940.7674012429310635
240.0459743011089166-0.8159062974301431
250.04597430110891660.8159062974301431
260.0406732768479338-0.8592529379999062
270.04067327684793380.8592529379999062
280.0351151114981313-0.8971671192929929
290.03511511149813130.8971671192929929
300.0293349559839034-0.9294091484867383
310.02933495598390340.9294091484867383
320.0233693848321782-0.9557752123246522
330.02336938483217820.9557752123246522
340.0172562290937249-0.9760987093334711
350.01725622909372490.9760987093334711
360.0110347889391646-0.9902515368546860
370.01103478893916460.9902515368546860
380.0047529446916351-0.9981473830664329
390.00475294469163510.9981473830664329

n = 40

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0775059479784248-0.0387724175060508
20.07750594797842480.0387724175060508
30.0770398181642480-0.1160840706752552
40.07703981816424800.1160840706752552
50.0761103619006262-0.1926975807013711
60.07611036190062620.1926975807013711
70.0747231690579683-0.2681521850072537
80.07472316905796830.2681521850072537
90.0728865823958041-0.3419940908257585
100.07288658239580410.3419940908257585
110.0706116473912868-0.4137792043716050
120.07061164739128680.4137792043716050
130.0679120458152339-0.4830758016861787
140.06791204581523390.4830758016861787
150.0648040134566010-0.5494671250951282
160.06480401345660100.5494671250951282
170.0613062424929289-0.6125538896679802
180.06130624249292890.6125538896679802
190.0574397690993916-0.6719566846141796
200.05743976909939160.6719566846141796
210.0532278469839368-0.7273182551899271
220.05322784698393680.7273182551899271
230.0486958076350722-0.7783056514265194
240.04869580763507220.7783056514265194
250.0438709081856733-0.8246122308333117
260.04387090818567330.8246122308333117
270.0387821679744720-0.8659595032122595
280.03878216797447200.8659595032122595
290.0334601952825478-0.9020988069688743
300.03346019528254780.9020988069688743
310.0279370069800234-0.9328128082786765
320.02793700698002340.9328128082786765
330.0222458491941670-0.9579168192137917
340.02224584919416700.9579168192137917
350.0164210583819079-0.9772599499837743
360.01642105838190790.9772599499837743
370.0104982845311528-0.9907262386994570
380.01049828453115280.9907262386994570
390.0045212770985332-0.9982377097105593
400.00452127709853320.9982377097105593

n = 41

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.07569553564729840.0000000000000000
20.0754787470927158-0.0756232589891630
30.07547874709271580.0756232589891630
40.0748296231762215-0.1508133548639922
50.07482962317622150.1508133548639922
60.0737518820272235-0.2251396056334228
70.07375188202722350.2251396056334228
80.0722516968610231-0.2981762773418249
90.07225169686102310.2981762773418249
100.0703376606208175-0.3695050226404815
110.07033766062081750.3695050226404815
120.0680207367608768-0.4387172770514071
130.06802073676087680.4387172770514071
140.0653141964535274-0.5054165991994061
150.06531419645352740.5054165991994061
160.0622335425809663-0.5692209416102159
170.06223354258096630.5692209416102159
180.0587964209498719-0.6297648390721963
190.05879642094987190.6297648390721963
200.0550225192425787-0.6867015020349513
210.05502251924257870.6867015020349513
220.0509334542946175-0.7397048030699261
230.05093345429461750.7397048030699261
240.0465526483690143-0.7884711450474093
250.04655264836901430.7884711450474093
260.0419051951959097-0.8327212004013613
270.04190519519590970.8327212004013613
280.0370177167035080-0.8722015116924414
290.03701771670350800.8722015116924414
300.0319182117316993-0.9066859447581012
310.03191821173169930.9066859447581012
320.0266358992071104-0.9359769874978539
330.02663589920711040.9359769874978539
340.0212010633687796-0.9599068917303463
350.02120106336877960.9599068917303463
360.0156449384078186-0.9783386735610834
370.01564493840781860.9783386735610834
380.0099999387739059-0.9911671096990163
390.00999993877390590.9911671096990163
400.0043061403581649-0.9983215885747715
410.00430614035816490.9983215885747715

n = 42

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0738642342321729-0.0369489431653518
20.07386423423217290.0369489431653518
30.0734608134534675-0.1106450272085199
40.07346081345346750.1106450272085199
50.0726561752438041-0.1837368065648546
60.07265617524380410.1837368065648546
70.0714547142651710-0.2558250793428791
80.07145471426517100.2558250793428791
90.0698629924925942-0.3265161244654115
100.06986299249259420.3265161244654115
110.0678897033765219-0.3954238520429750
120.06788970337652190.3954238520429750
130.0655456243649090-0.4621719120704219
140.06554562436490900.4621719120704219
150.0628435580450026-0.5263957499311923
160.06284355804500260.5263957499311923
170.0597982622275867-0.5877445974851093
180.05979826222758670.5877445974851093
190.0564263693580184-0.6458833888692478
200.05642636935801840.6458833888692478
210.0527462956991741-0.7004945905561712
220.05274629569917410.7004945905561712
230.0487781407928032-0.7512799356894805
240.04877814079280320.7512799356894805
250.0445435777719659-0.7979620532554874
260.04454357777196590.7979620532554874
270.0400657351806923-0.8402859832618169
280.04006573518069230.8402859832618169
290.0353690710975921-0.8780205698121727
300.03536907109759210.8780205698121727
310.0304792406996035-0.9109597249041275
320.03047924069960350.9109597249041275
330.0254229595261130-0.9389235573549882
340.02542295952611300.9389235573549882
350.0202278695690526-0.9617593653382045
360.02022786956905260.9617593653382045
370.0149224436973575-0.9793425080637482
380.01492244369735750.9793425080637482
390.0095362203017485-0.9915772883408609
400.00953622030174850.9915772883408609
410.0041059986046491-0.9983996189900625
420.00410599860464910.9983996189900625

n = 43

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.07221575169379900.0000000000000000
20.0720275019714220-0.0721529908745862
30.07202750197142200.0721529908745862
40.0714637342525141-0.1439298095107133
50.07146373425251410.1439298095107133
60.0705273877650850-0.2149562448605182
70.07052738776508500.2149562448605182
80.0692233441936567-0.2848619980329136
90.06922334419365670.2848619980329136
100.0675584022293652-0.3532826128643038
110.06755840222936520.3532826128643038
120.0655412421263228-0.4198613760292693
130.06554124212632280.4198613760292693
140.0631823804493961-0.4842511767857347
150.06318238044939610.4842511767857347
160.0604941152499913-0.5461163166600848
170.06049411524999130.5461163166600848
180.0574904619569105-0.6051342596396010
190.05749046195691050.6051342596396010
200.0541870803188818-0.6609973137514982
210.05418708031888180.6609973137514982
220.0506011927843902-0.7134142352689571
230.05060119278439020.7134142352689571
240.0467514947543466-0.7621117471949551
250.04675149475434660.7621117471949551
260.0426580571979821-0.8068359641369386
270.04265805719798210.8068359641369386
280.0383422221941327-0.8473537162093151
290.03834222219413270.8473537162093151
300.0338264920868603-0.8834537652186168
310.03382649208686030.8834537652186168
320.0291344132614985-0.9149479072061387
330.02913441326149850.9149479072061387
340.0242904566138388-0.9416719568476378
350.02429045661383880.9416719568476378
360.0193199014236839-0.9634866130140800
370.01931990142368390.9634866130140800
380.0142487564315765-0.9802782209802553
390.01424875643157650.9802782209802553
400.0091039966374014-0.9919595575932442
410.00910399663740140.9919595575932442
420.0039194902538441-0.9984723322425078
430.00391949025384410.9984723322425078

n = 44

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0705491577893541-0.0352892369641354
20.07054915778935410.0352892369641354
30.0701976854735582-0.1056919017086533
40.07019768547355820.1056919017086533
50.0694964918615726-0.1755680147755168
60.06949649186157260.1755680147755168
70.0684490702693667-0.2445694569282013
80.06844907026936670.2445694569282013
90.0670606389062937-0.3123524665027858
100.06706063890629370.3123524665027858
110.0653381148791814-0.3785793520147072
120.06533811487918140.3785793520147072
130.0632900797332039-0.4429201745254115
140.06329007973320390.4429201745254115
150.0609267367015620-0.5050543913882023
160.06092673670156200.5050543913882023
170.0582598598775955-0.5646724531854708
180.05825985987759550.5646724531854708
190.0553027355637281-0.6214773459035758
200.05530273556372810.6214773459035758
210.0520700960917045-0.6751860706661224
220.05207009609170450.6751860706661224
230.0485780464483520-0.7255310536607170
240.04857804644835200.7255310536607170
250.0448439840819700-0.7722614792487559
260.04484398408197000.7722614792487559
270.0408865123103462-0.8151445396451350
280.04088651231034620.8151445396451350
290.0367253478138089-0.8539665950047104
300.03672534781380890.8539665950047104
310.0323812228120698-0.8885342382860432
320.03238122281206980.8885342382860432
330.0278757828212810-0.9186752599841758
340.02787578282128100.9186752599841758
350.0232314819020192-0.9442395091181941
360.02323148190201920.9442395091181941
370.0184714817368147-0.9650996504224931
380.01847148173681470.9650996504224931
390.0136195867555800-0.9811518330779140
400.01361958675558000.9811518330779140
410.0087004813675248-0.9923163921385159
420.00870048136752480.9923163921385159
430.0037454048031128-0.9985402006367742
440.00374540480311280.9985402006367742

n = 45

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
tr>
iweight - wiabscissa - xi
10.06904182482923200.0000000000000000
20.0688773169776613-0.0689869801631442
30.06887731697766130.0689869801631442
40.0683845773786697-0.1376452059832530
50.06838457737866970.1376452059832530
60.0675659541636075-0.2056474897832637
70.06756595416360750.2056474897832637
80.0664253484498425-0.2726697697523776
90.06642534844984250.2726697697523776
100.0649681957507234-0.3383926542506022
110.06496819575072340.3383926542506022
120.0632014400738199-0.4025029438585419
130.06320144007381990.4025029438585419
140.0611335008310665-0.4646951239196351
150.06113350083106650.4646951239196351
160.0587742327188417-0.5246728204629161
170.05877423271884170.5246728204629161
180.0561348787597865-0.5821502125693532
190.05613487875978650.5821502125693532
200.0532280167312690-0.6368533944532233
210.05322801673126900.6368533944532233
220.0500674992379520-0.6885216807712006
230.05006749923795200.6885216807712006
240.0466683877183734-0.7369088489454904
250.04666838771837340.7369088489454904
260.0430468807091650-0.7817843125939062
270.04304688070916500.7817843125939062
280.0392202367293025-0.8229342205020863
290.03922023672930250.8229342205020863
300.0352066922016090-0.8601624759606642
310.03520669220160900.8601624759606642
320.0310253749345155-0.8932916717532418
330.03102537493451550.8932916717532418
340.0266962139675777-0.9221639367190004
350.02669621396757770.9221639367190004
360.0222398475505787-0.9466416909956291
370.02223984755057870.9466416909956291
380.0176775352579376-0.9666083103968947
390.01767753525793760.9666083103968947
400.0130311049915828-0.9819687150345405
410.01303110499158280.9819687150345405
420.0083231892962182-0.9926499984472037
430.00832318929621820.9926499984472037
440.0035826631552836-0.9986036451819367
450.00358266315528360.9986036451819367

n = 46

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0675186858490365-0.0337721900160520
20.06751868584903650.0337721900160520
30.0672106136006782-0.1011624753055842
40.06721061360067820.1011624753055842
50.0665958747684549-0.1680911794671035
60.06659587476845490.1680911794671035
70.0656772742677812-0.2342529222062698
80.06567727426778120.2342529222062698
90.0644590034671391-0.2993458227018700
100.06445900346713910.2993458227018700
110.0629466210643945-0.3630728770209957
120.06294662106439450.3630728770209957
130.0611470277246505-0.4251433132828284
140.06114702772465050.4251433132828284
150.0590684345955463-0.4852739183881646
160.05906843459554630.4852739183881646
170.0567203258439912-0.5431903302618026
180.05672032584399120.5431903302618026
190.0541134153858568-0.5986282897127152
200.05411341538585680.5986282897127152
210.0512595980071430-0.6513348462019977
220.05125959800714300.6513348462019977
230.0481718951017122-0.7010695120204057
240.04817189510171220.7010695120204057
250.0448643952773181-0.7476053596156661
260.04486439527731810.7476053596156661
270.0413521901096787-0.7907300570752742
280.04135219010967870.7907300570752742
290.0376513053573861-0.8302468370660661
300.03765130535738610.8302468370660661
310.0337786279991069-0.8659753948668580
320.03377862799910690.8659753948668580
330.0297518295522028-0.8977527115339420
340.02975182955220280.8977527115339420
350.0255892863971300-0.9254337988067539
360.02558928639713000.9254337988067539
370.0213099987541365-0.9488923634460898
380.02130999875413650.9488923634460898
390.0169335140078362-0.9680213918539919
400.01693351400783620.9680213918539919
410.0124798837709887-0.9827336698041669
420.01247988377098870.9827336698041669
430.0079698982297246-0.9929623489061744
440.00796989822972460.9929623489061744
450.0034303008681070-0.9986630421338180
460.00343030086810700.9986630421338180

n = 47

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.06613512962365550.0000000000000000
20.0659905335888105-0.0660869239163557
30.06599053358881050.0660869239163557
40.0655573777665497-0.1318848665545149
50.06555737776654970.1318848665545149
60.0648375562389457-0.1971061102791118
70.06483755623894570.1971061102791118
80.0638342166057170-0.2614654592149745
90.06383421660571700.2614654592149745
100.0625517462209217-0.3246814863377359
110.06255174622092170.3246814863377359
120.0609957530087396-0.3864777640846672
130.06099575300873960.3864777640846672
140.0591730409423389-0.4465840731048557
150.05917304094233890.4465840731048557
160.0570915802932315-0.5047375838635779
170.05709158029323150.5047375838635779
180.0547604727815302-0.5606840059346642
190.05476047278153020.5606840059346642
200.0521899117800571-0.6141786999563736
210.05218991178005710.6141786999563736
220.0493911377473612-0.6649877473903327
230.04939113774736120.6649877473903327
240.0463763890865059-0.7128889734090643
250.04637638908650590.7128889734090643
260.0431588486484795-0.7576729184454386
270.04315884864847950.7576729184454386
280.0397525861225310-0.7991437541677420
290.03975258612253100.7991437541677420
300.0361724965841749-0.8371201398999021
310.03617249658417490.8371201398999021
320.0324342355151848-0.8714360157968963
330.03243423551518480.8714360157968963
340.0285541507006434-0.9019413294385253
350.02855415070064340.9019413294385253
360.0245492116596588-0.9285026930123607
370.02454921165965880.9285026930123607
380.0204369381476684-0.9510039692577085
390.02043693814766840.9510039692577085
400.0162353331464331-0.9693467873265645
410.01623533314643310.9693467873265645
420.0119628484643123-0.9834510030716237
430.01196284846431230.9834510030716237
440.0076386162958488-0.9932552109877686
450.00763861629584880.9932552109877686
460.0032874538425280-0.9987187285842121
470.00328745384252800.9987187285842121

n = 48

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0647376968126839-0.0323801709628694
20.06473769681268390.0323801709628694
30.0644661644359501-0.0970046992094627
40.06446616443595010.0970046992094627
50.0639242385846482-0.1612223560688917
60.06392423858464820.1612223560688917
70.0631141922862540-0.2247637903946891
80.06311419228625400.2247637903946891
90.0620394231598927-0.2873624873554556
100.06203942315989270.2873624873554556
110.0607044391658939-0.3487558862921608
120.06070443916589390.3487558862921608
130.0591148396983956-0.4086864819907167
140.05911483969839560.4086864819907167
150.0572772921004032-0.4669029047509584
160.05727729210040320.4669029047509584
170.0551995036999842-0.5231609747222330
180.05519950369998420.5231609747222330
190.0528901894851937-0.5772247260839727
200.05289018948519370.5772247260839727
210.0503590355538545-0.6288673967765136
220.05035903555385450.6288673967765136
230.0476166584924905-0.6778723796326639
240.04761665849249050.6778723796326639
250.0446745608566943-0.7240341309238146
260.04467456085669430.7240341309238146
270.0415450829434647-0.7671590325157404
280.04154508294346470.7671590325157404
290.0382413510658307-0.8070662040294426
300.03824135106583070.8070662040294426
310.0347772225647704-0.8435882616243935
320.03477722256477040.8435882616243935
330.0311672278327981-0.8765720202742479
340.03116722783279810.8765720202742479
350.0274265097083569-0.9058791367155696
360.02742650970835690.9058791367155696
370.0235707608393244-0.9313866907065543
380.02357076083932440.9313866907065543
390.0196161604573555-0.9529877031604309
400.01961616045735550.9529877031604309
410.0155793157229438-0.9705915925462473
420.01557931572294380.9705915925462473
430.0114772345792345-0.9841245837228269
440.01147723457923450.9841245837228269
450.0073275539012763-0.9935301722663508
460.00732755390127630.9935301722663508
470.0031533460523058-0.9987710072524261
480.00315334605230580.9987710072524261

n = 49

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.06346328140479060.0000000000000000
20.0633355092964917-0.0634206849826868
30.06333550929649170.0634206849826868
40.0629527074651957-0.1265859972696720
50.06295270746519570.1265859972696720
60.0623164173200573-0.1892415924618136
70.06231641732005730.1892415924618136
80.0614292009791929-0.2511351786125773
90.06142920097919290.2511351786125773
100.0602946309531520-0.3120175321197488
110.06029463095315200.3120175321197488
120.0589172757600273-0.3716435012622849
130.05891727576002730.3716435012622849
140.0573026815301875-0.4297729933415765
150.05730268153018750.4297729933415765
160.0554573496748036-0.4861719414524920
170.05545734967480360.4861719414524920
180.0533887107082590-0.5406132469917261
190.05338871070825900.5406132469917261
200.0511050943301446-0.5928776941089007
210.05110509433014460.5928776941089007
220.0486156958878282-0.6427548324192377
230.04861569588782820.6427548324192377
240.0459305393555959-0.6900438244251321
250.04593053935559590.6900438244251321
260.0430604369812596-0.7345542542374027
270.04306043698125960.7345542542374027
280.0400169457663730-0.7761068943454467
290.04001694576637300.7761068943454467
300.0368123209630007-0.8145344273598555
310.03681232096300070.8145344273598555
320.0334594667916222-0.8496821198441658
330.03345946679162220.8496821198441658
340.0299718846205838-0.8814084455730089
350.02997188462058380.8814084455730089
360.0263636189270660-0.9095856558280733
370.02636361892706600.9095856558280733
380.0226492015874467-0.9341002947558101
390.02264920158744670.9341002947558101
400.0188435958530895-0.9548536586741372
410.01884359585308950.9548536586741372
420.0149621449356247-0.9717622009015554
430.01496214493562470.9717622009015554
440.0110205510315936-0.9847578959142130
450.01102055103159360.9847578959142130
460.0070350995900865-0.9937886619441678
470.00703509959008650.9937886619441678
480.0030272789889229-0.9988201506066354
490.00302727898892290.9988201506066354

n = 50

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0621766166553473-0.0310983383271889
20.06217661665534730.0310983383271889
30.0619360674206832-0.0931747015600861
40.06193606742068320.0931747015600861
50.0614558995903167-0.1548905899981459
60.06145589959031670.1548905899981459
70.0607379708417702-0.2160072368760418
80.06073797084177020.2160072368760418
90.0597850587042655-0.2762881937795320
100.05978505870426550.2762881937795320
110.0586008498132224-0.3355002454194373
120.05860084981322240.3355002454194373
130.0571899256477284-0.3934143118975651
140.05718992564772840.3934143118975651
150.0555577448062125-0.4498063349740388
160.05555774480621250.4498063349740388
170.0537106218889962-0.5044581449074642
180.05371062188899620.5044581449074642
190.0516557030695811-0.5571583045146501
200.05165570306958110.5571583045146501
210.0494009384494663-0.6077029271849502
220.04940093844946630.6077029271849502
230.0469550513039484-0.6558964656854394
240.04695505130394840.6558964656854394
250.0443275043388033-0.7015524687068222
260.04432750433880330.7015524687068222
270.0415284630901477-0.7444943022260685
280.04152846309014770.7444943022260685
290.0385687566125877-0.7845558329003993
300.03856875661258770.7845558329003993
310.0354598356151462-0.8215820708593360
320.03545983561514620.8215820708593360
330.0322137282235780-0.8554297694299461
340.03221372822357800.8554297694299461
350.0288429935805352-0.8859679795236131
360.02884299358053520.8859679795236131
370.0253606735700124-0.9130785566557919
380.02536067357001240.9130785566557919
390.0217802431701248-0.9366566189448780
400.02178024317012480.9366566189448780
410.0181155607134894-0.9566109552428079
420.01811556071348940.9566109552428079
430.0143808227614856-0.9728643851066920
440.01438082276148560.9728643851066920
450.0105905483836510-0.9853540840480058
460.01059054838365100.9853540840480058
470.0067597991957454-0.9940319694320907
480.00675979919574540.9940319694320907
490.0029086225531551-0.9988664044200710
500.00290862255315510.9988664044200710

n = 51

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.06099892484120590.0000000000000000
20.0608854648448563-0.0609611001505787
30.06088546484485630.0609611001505787
40.0605455069347378-0.1216954210188888
50.06054550693473780.1216954210188888
60.0599803157775033-0.1819770269570775
70.05998031577750330.1819770269570775
80.0591919939229615-0.2415816664477987
90.05919199392296150.2415816664477987
100.0581834739825921-0.3002876063353319
110.05818347398259210.3002876063353319
120.0569585077202587-0.3578764566884095
130.05695850772025870.3578764566884095
140.0555216520957387-0.4141339832263039
150.05552165209573870.4141339832263039
160.0538782523130456-0.4688509042860410
170.05387825231304560.4688509042860410
180.0520344219366971-0.5218236693661858
190.05203442193669710.5218236693661858
200.0499970201500574-0.5728552163513039
210.04999702015005740.5728552163513039
220.0477736262406231-0.6217557046007233
230.04777362624062310.6217557046007233
240.0453725114076501-0.6683432211753700
250.04537251140765010.6683432211753700
260.0428026079978801-0.7124444575770367
270.04280260799788010.7124444575770367
280.0400734762854965-0.7538953544853755
290.04007347628549650.7538953544853755
300.0371952689232603-0.7925417120993812
310.03719526892326030.7925417120993812
320.0341786932041883-0.8282397638230649
330.03417869320418830.8282397638230649
340.0310349712901600-0.8608567111822923
350.03103497129016000.8608567111822923
360.0277757985941625-0.8902712180295274
370.02777579859416250.8902712180295274
380.0244133005737814-0.9163738623097802
390.02441330057378140.9163738623097802
400.0209599884017032-0.9390675440029623
410.02095998840170320.9390675440029623
420.0174287147234011-0.9582678486139082
430.01742871472340110.9582678486139082
440.0138326340064778-0.9739033680193239
450.01383263400647780.9739033680193239
460.0101851912978217-0.9859159917359029
470.01018519129782170.9859159917359029
480.0065003377832526-0.9942612604367526
490.00650033778325260.9942612604367526
500.0027968071710899-0.9989099908489035
510.00279680717108990.9989099908489035

n = 52

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0598103657452919-0.0299141097973388
20.05981036574529190.0299141097973388
30.0595962601712482-0.0896352446489006
40.05959626017124820.0896352446489006
50.0591688154660430-0.1490355086069492
60.05916881546604300.1490355086069492
70.0585295617718139-0.2079022641563661
80.05852956177181390.2079022641563661
90.0576807874525268-0.2660247836050018
100.05768078745252680.2660247836050018
110.0566255309023686-0.3231950034348078
120.05662553090236860.3231950034348078
130.0553675696693027-0.3792082691160937
140.05536756966930270.3792082691160937
150.0539114069327573-0.4338640677187617
160.05391140693275730.4338640677187617
170.0522622553839070-0.4869667456980961
180.05226225538390700.4869667456980961
190.0504260185663424-0.5383262092858274
200.05042601856634240.5383262092858274
210.0484092697440749-0.5877586049795791
220.04840926974407490.5877586049795791
230.0462192283727848-0.6350869776952459
240.04621922837278480.6350869776952459
250.0438637342590004-0.6801419042271677
260.04386373425900040.6801419042271677
270.0413512195005603-0.7227620997499832
280.04135121950056030.7227620997499832
290.0386906783104240-0.7627949951937449
300.03869067831042400.7627949951937449
310.0358916348350972-0.8000972834304684
320.03589163483509720.8000972834304684
330.0329641090897188-0.8345354323267345
340.03296410908971880.8345354323267345
350.0299185811471439-0.8659861628460676
360.02991858114714390.8659861628460676
370.0267659537465040-0.8943368905344953
380.02676595374650400.8943368905344953
390.0235175135539845-0.9194861289164246
400.02351751355398450.9194861289164246
410.0201848915079808-0.9413438536413591
420.02018489150798080.9413438536413591
430.0167800233963007-0.9598318269330866
440.01678002339630070.9598318269330866
450.0133151149823410-0.9748838842217445
460.01331511498234100.9748838842217445
470.0098026345794628-0.9864461956515499
480.00980263457946280.9864461956515499
490.0062555239629733-0.9944775909292161
500.00625552396297330.9944775909292161
510.0026913169500471-0.9989511111039503
520.00269131695004710.9989511111039503

n = 53

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.05871879415116440.0000000000000000
20.0586175862327203-0.0586850543002595
30.05861758623272030.0586850543002595
40.0583143113622560-0.1171678090719551
50.05831431136225600.1171678090719551
60.0578100149917132-0.1752466621553257
70.05781001499171320.1752466621553257
80.0571064355362672-0.2327214037242726
90.05710643553626720.2327214037242726
100.0562059983817397-0.2893939064516262
110.05620599838173970.2893939064516262
120.0551118075239336-0.3450688084957224
130.05511180752393360.3450688084957224
140.0538276348687310-0.3995541869539530
150.05382763486873100.3995541869539530
160.0523579072298727-0.4526622194618458
170.05235790722987270.4526622194618458
180.0507076910692927-0.5042098316571334
190.05070769106929270.5042098316571334
200.0488826750326991-0.5540193282770679
210.04888267503269910.5540193282770679
220.0468891503407503-0.6019190057137693
230.04688915034075030.6019190057137693
240.0447339891036728-0.6477437439165100
250.04473398910367280.6477437439165100
260.0424246206345200-0.6913355756013667
270.04242462063452000.6913355756013667
280.0399690058435404-0.7325442308075103
290.03996900584354040.7325442308075103
300.0373756098034829-0.7712276549255324
310.03737560980348290.7712276549255324
320.0346533725835342-0.8072524984168955
330.03465337258353420.8072524984168955
340.0318116784590193-0.8404945765458014
350.03181167845901930.8404945765458014
360.0288603236178237-0.8708392975582413
370.02886032361782370.8708392975582413
380.0258094825107575-0.8981820578754266
390.02580948251075750.8981820578754266
400.0226696730570702-0.9224286030428122
410.02266967305707020.9224286030428122
420.0194517211076369-0.9434953534644419
430.01945172110763690.9434953534644419
440.0161667252566875-0.9613096946231363
450.01616672525668750.9613096946231363
460.0128260261442404-0.9758102337149845
470.01282602614424040.9758102337149845
480.0094412022849403-0.9869470350233716
490.00944120228494030.9869470350233716
500.0060242762269487-0.9946819193080071
510.00602427622694870.9946819193080071
520.0025916837205670-0.9989899477763282
530.00259168372056700.9989899477763282

n = 54

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0576175367071470-0.0288167481993418
20.05761753670714700.0288167481993418
30.0574261370541121-0.0863545182632482
40.05742613705411210.0863545182632482
50.0570439735587946-0.1436054273162561
60.05704397355879460.1436054273162561
70.0564723157306260-0.2003792936062136
80.05647231573062600.2003792936062136
90.0557130625605900-0.2564875200699973
100.05571306256059000.2564875200699973
110.0547687362130580-0.3117437208344682
120.05476873621305800.3117437208344682
130.0536424736475536-0.3659643403721912
140.05364247364755360.3659643403721912
150.0523380161982987-0.4189692632552045
160.05233801619829870.4189692632552045
170.0508596971461881-0.4705824124813823
180.05085969714618810.4705824124813823
190.0492124273245289-0.5206323343859330
200.04921242732452890.5206323343859330
210.0474016788064450-0.5689527681952095
220.04740167880644500.5689527681952095
230.0454334667282767-0.6153831983311274
240.04543346672827670.6153831983311274
250.0433143293095970-0.6597693876319831
260.04331432930959700.6597693876319831
270.0410513061366450-0.7019638897191729
280.04105130613664500.7019638897191729
290.0386519147821025-0.7418265388091844
300.03865191478210250.7418265388091844
310.0361241258403836-0.7792249153462540
320.03612412584038360.7792249153462540
330.0334763364643726-0.8140347859135678
340.03347633646437260.8140347859135678
350.0307173424978707-0.8461405159707730
360.03071734249787070.8461405159707730
370.0278563093105959-0.8754354540655689
380.02785630931059590.8754354540655689
390.0249027414672088-0.9018222862847016
400.02490274146720880.9018222862847016
410.0218664514228531-0.9252133598666515
420.02186645142285310.9252133598666515
430.0187575276214694-0.9455309751649958
440.01875752762146940.9455309751649958
450.0155863030359241-0.9627076457859236
460.01558630303592410.9627076457859236
470.0123633281288476-0.9766863288579032
480.01236332812884760.9766863288579032
490.0090993694555094-0.9874206373973435
500.00909936945550940.9874206373973435
510.0058056110152400-0.9948751170183389
520.00580561101524000.9948751170183389
530.0024974818357616-0.9990266668673410
540.00249748183576160.9990266668673410

n = 55

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.05660297644456040.0000000000000000
20.0565123182497720-0.0565727538183368
30.05651231824977200.0565727538183368
40.0562406340710844-0.1129642880593293
50.05624063407108440.1129642880593293
60.0557887941952841-0.1689939636468732
70.05578879419528410.1689939636468732
80.0551582460025087-0.2244823006478455
90.05515824600250870.2244823006478455
100.0543510093299111-0.2792515532008065
110.05435100932991110.2792515532008065
120.0533696700016055-0.3331262788900239
130.05336967000160550.3331262788900239
140.0522173715456321-0.3859339007409794
150.05221737154563210.3859339007409794
160.0508978051244940-0.4375052600371746
170.05089780512449400.4375052600371746
180.0494151977115517-0.4876751581874741
190.04941519771155170.4876751581874741
200.0477742985512007-0.5362828859083433
210.04777429855120070.5362828859083433
220.0459803639462838-0.5831727380260321
230.04598036394628380.5831727380260321
240.0440391404216066-0.6281945122499282
250.04403914042160660.6281945122499282
260.0419568463177188-0.6712039903198264
270.04195684631771880.6712039903198264
280.0397401518743372-0.7120633999866378
290.03974015187433720.7120633999866378
300.0373961578679655-0.7506418563480219
310.03739615786796550.7506418563480219
320.0349323728735899-0.7868157811276224
330.03493237287358990.7868157811276224
340.0323566892261858-0.8204692985593209
350.03235668922618580.8204692985593209
360.0296773577651610-0.8514946066171545
370.02967735776516100.8514946066171545
380.0269029614563963-0.8797923224198955
390.02690296145639630.8797923224198955
400.0240423880097256-0.9052718007440000
410.02404238800972560.9052718007440000
420.0211048016680165-0.9278514247207917
430.02110480166801650.9278514247207917
440.0180996145207291-0.9474588680412107
450.01809961452072910.9474588680412107
460.0150364583335118-0.9640313285931352
470.01503645833351180.9640313285931352
480.0119251607198486-0.9775157355039892
490.01192516071984860.9775157355039892
500.0087757461070585-0.9878689411988892
510.00877574610705850.9878689411988892
520.0055986322665608-0.9950579778474119
530.00559863226656080.9950579778474119
540.0024083236199798-0.9990614195648185
550.00240832361997980.9990614195648185

n = 56

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0555797463065144-0.0277970352872754
20.05557974630651440.0277970352872754
30.0554079525032451-0.0833051868224354
40.05540795250324510.0833051868224354
50.0550648959017624-0.1385558468103762
60.05506489590176240.1385558468103762
70.0545516368708894-0.1933782386352753
80.05455163687088940.1933782386352753
90.0538697618657145-0.2476029094343372
100.05386976186571450.2476029094343372
110.0530213785240108-0.3010622538672207
120.05302137852401080.3010622538672207
130.0520091091517414-0.3535910321749545
140.05200910915174140.3535910321749545
150.0508360826177985-0.4050268809270913
160.05083608261779850.4050268809270913
170.0495059246830476-0.4552108148784596
180.04950592468304760.4552108148784596
190.0480227467936003-0.5039877183843817
200.04802274679360030.5039877183843817
210.0463911333730019-0.5512068248555346
220.04639113337300190.5512068248555346
230.0446161276526923-0.5967221827706634
240.04461612765269230.5967221827706634
250.0427032160846671-0.6403931068070069
260.04270321608466710.6403931068070069
270.0406583113847445-0.6820846126944704
280.04065831138474450.6820846126944704
290.0384877342592477-0.7216678344501881
300.03848773425924770.7216678344501881
310.0361981938723152-0.7590204227051289
320.03619819387231520.7590204227051289
330.0337967671156118-0.7940269228938664
340.03379676711561180.7940269228938664
350.0312908767473104-0.8265791321428817
360.03129087674731040.8265791321428817
370.0286882684738227-0.8565764337627486
380.02868826847382270.8565764337627486
390.0259969870583920-0.8839261083278276
400.02599698705839200.8839261083278276
410.0232253515625653-0.9085436204206555
420.02322535156256530.9085436204206555
430.0203819298824026-0.9303528802474963
440.02038192988240260.9303528802474963
450.0174755129114009-0.9492864795619627
460.01747551291140090.9492864795619627
470.0145150892780215-0.9652859019054901
480.01451508927802150.9652859019054901
490.0115098243403834-0.9783017091402564
500.01150982434038340.9783017091402564
510.0084690631633079-0.9882937155401615
520.00846906316330790.9882937155401615
530.0054025222460153-0.9952312260810697
540.00540252224601530.9952312260810697
550.0023238553757732-0.9990943438014656
560.00232385537577320.9990943438014656

n = 57

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.05463432875658400.0000000000000000
20.0545528036047619-0.0546071510016468
30.05455280360476190.0546071510016468
40.0543084714524986-0.1090513328087878
50.05430847145249860.1090513328087878
60.0539020614832986-0.1631700625912643
70.05390206148329860.1631700625912643
80.0533347865848192-0.2168018287961240
90.05333478658481920.2168018287961240
100.0526083397291774-0.2697865731618387
110.05260833972917740.2697865731618387
120.0517248889205178-0.3219661683953786
130.05172488892051780.3219661683953786
140.0506870707249274-0.3731848900865944
150.05068707072492740.3731848900865944
160.0494979824020197-0.4232898814515639
170.04949798240201970.4232898814515639
180.0481611726616877-0.4721316095179757
190.04816117266168770.4721316095179757
200.0466806310736415-0.5195643113911876
210.04668063107364150.5195643113911876
220.0450607761613812-0.5654464292692367
230.04506077616138120.5654464292692367
240.0433064422162152-0.6096410329087154
250.04330644221621520.6096410329087154
260.0414228648708011-0.6520162282809769
270.04142286487080110.6520162282809769
280.0394156654754801-0.6924455511995178
290.03941566547548010.6924455511995178
300.0372908343244173-0.7308083447445233
310.03729083432441730.7308083447445233
320.0350547127823126-0.7669901193594502
330.03505471278231260.7669901193594502
340.0327139743663716-0.8008828945472183
350.03271397436637160.8008828945472183
360.0302756048426940-0.8323855211504391
370.03027560484269400.8323855211504391
380.0277468814021802-0.8614039832620469
390.02774688140218020.8614039832620469
400.0251353509909181-0.8878516788822214
410.02513535099091810.8878516788822214
420.0224488078907764-0.9116496785213912
430.02244880789077640.9116496785213912
440.0196952706994885-0.9327269610671017
450.01969527069948850.9327269610671017
460.0168829590234416-0.9510206264478768
470.01688295902344160.9510206264478768
480.0140202707907536-0.9664760851718867
490.01402027079075360.9664760851718867
500.0111157637323360-0.9790472267094688
510.01111576373233600.9790472267094688
520.0081781600678212-0.9886965776502220
530.00817816006782120.9886965776502220
540.0052165334747188-0.9953955236784303
550.00521653347471880.9953955236784303
560.0022437538722507-0.9991255656252629
570.00224375387225070.9991255656252629

n = 58

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0536811198633348-0.0268470123659424
20.05368111986333480.0268470123659424
30.0535263433040583-0.0804636302141427
40.05352634330405830.0804636302141427
50.0532172364465790-0.1338482505954668
60.05321723644657900.1338482505954668
70.0527546905263708-0.1868469518357613
80.05275469052637080.1868469518357613
90.0521400391836698-0.2393069249661535
100.05214003918366980.2393069249661535
110.0513750546182857-0.2910769143111092
120.05137505461828570.2910769143111092
130.0504619424799531-0.3420076535979953
140.05046194247995310.3420076535979953
150.0494033355089624-0.3919522963307531
160.04940333550896240.3919522963307531
170.0482022859454177-0.4407668391868396
180.04820228594541770.4407668391868396
190.0468622567290263-0.4883105372167185
200.04686225672902630.4883105372167185
210.0453871115148198-0.5344463096488475
220.04538711151481980.5344463096488475
230.0437811035336403-0.5790411351302250
240.04378110353364030.5790411351302250
250.0420488633295821-0.6219664352630792
260.04204886332958210.6219664352630792
270.0401953854098678-0.6630984453321253
280.04019538540986780.6630984453321253
290.0382260138458584-0.7023185711539082
300.03822601384585840.7023185711539082
310.0361464268670873-0.7395137310200423
320.03614642686708730.7395137310200423
330.0339626204934160-0.7745766817496528
340.03396262049341600.7745766817496528
350.0316808912538093-0.8074063279130882
360.03168089125380930.8074063279130882
370.0293078180441605-0.8379080133393734
380.02930781804416050.8379080133393734
390.0268502431819819-0.8659937940748075
400.02685024318198190.8659937940748075
410.0243152527249640-0.8915826920220302
420.02431525272496400.8915826920220302
430.0217101561401462-0.9146009285643525
440.02171015614014620.9146009285643525
450.0190424654618934-0.9349821375882593
460.01904246546189340.9349821375882593
470.0163198742349710-0.9526675575188691
480.01631987423497100.9526675575188691
490.0135502371129888-0.9676062025029241
500.01355023711298880.9676062025029241
510.0107415535328788-0.9797550146943503
520.01074155353287880.9797550146943503
530.0079019738499987-0.9890790082484426
540.00790197384999870.9890790082484426
550.0050399816126502-0.9955514765972909
560.00503998161265020.9955514765972909
570.0021677232496275-0.9991552004073866
580.00216772324962750.9991552004073866

n = 59

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.05279801262199040.0000000000000000
20.0527244338591279-0.0527734840883100
30.05272443385912790.0527734840883100
40.0525039026478287-0.1053998790163442
50.05250390264782870.1053998790163442
60.0521370336483754-0.1577325055878580
70.05213703364837540.1577325055878580
80.0516248493908915-0.2096255033920365
90.05162484939089150.2096255033920365
100.0509687774253939-0.2609342373428117
110.05096877742539390.2609342373428117
120.0501706463429969-0.3115157008030137
130.05017064634299690.3115157008030137
140.0492326806793620-0.3612289141697948
150.04923268067936200.3612289141697948
160.0481574947146064-0.4099353178104190
170.04815749471460640.4099353178104190
180.0469480851869620-0.4574991582532667
190.04694808518696200.4574991582532667
200.0456078229405098-0.5037878665577180
210.04560782294050980.5037878665577180
220.0441404435302974-0.5486724278083964
230.04414044353029740.5486724278083964
240.0425500368110676-0.5920277407040302
250.04255003681106760.5920277407040302
260.0408410355386867-0.6337329662388501
270.04084103553868670.6337329662388501
280.0390182030161600-0.6736718645049372
290.03901820301616000.6736718645049372
300.0370866198188709-0.7117331186771977
310.03708661981887090.7117331186771977
320.0350516696364001-0.7478106452786403
330.03505166963640010.7478106452786403
340.0329190242710453-0.7818038898623609
350.03291902427104530.7818038898623609
360.0306946278361117-0.8136181072882116
370.03069462783611170.8136181072882116
380.0283846802005348-0.8431646258168722
390.02838468020053480.8431646258168722
400.0259956197312985-0.8703610942928822
410.02599561973129850.8703610942928822
420.0235341053937134-0.8951317117434721
430.02353410539371340.8951317117434721
440.0210069982884372-0.9174074387881552
450.02100699828843720.9174074387881552
460.0184213427536100-0.9371261903534539
470.01842134275361000.9371261903534539
480.0157843473130815-0.9542330093769511
490.01578434731308150.9542330093769511
500.0131033663063452-0.9686802216817816
510.01310336630634520.9686802216817816
520.0103858855009959-0.9804275739567156
530.01038588550099590.9804275739567156
540.0076395294534876-0.9894423651337310
550.00763952945348760.9894423651337310
560.0048722391682653-0.9956996403832460
570.00487223916826530.9956996403832460
580.0020954922845412-0.9991833539092947
590.00209549228454120.9991833539092947

n = 60

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0519078776312206-0.0259597723012478
20.05190787763122060.0259597723012478
30.0517679431749102-0.0778093339495366
40.05176794317491020.0778093339495366
50.0514884515009809-0.1294491353969450
60.05148845150098090.1294491353969450
70.0510701560698556-0.1807399648734254
80.05107015606985560.1807399648734254
90.0505141845325094-0.2315435513760293
100.05051418453250940.2315435513760293
110.0498220356905502-0.2817229374232617
120.04982203569055020.2817229374232617
130.0489955754557568-0.3311428482684482
140.04899557545575680.3311428482684482
150.0480370318199712-0.3796700565767980
160.04803703181997120.3796700565767980
170.0469489888489122-0.4271737415830784
180.04694898884891220.4271737415830784
190.0457343797161145-0.4735258417617071
200.04573437971611450.4735258417617071
210.0443964787957871-0.5186014000585697
220.04439647879578710.5186014000585697
230.0429388928359356-0.5622789007539445
240.04293889283593560.5622789007539445
250.0413655512355848-0.6044405970485104
260.04136555123558480.6044405970485104
270.0396806954523808-0.6449728284894770
280.03968069545238080.6449728284894770
290.0378888675692434-0.6837663273813555
300.03788886756924340.6837663273813555
310.0359948980510845-0.7207165133557304
320.03599489805108450.7207165133557304
330.0340038927249464-0.7557237753065856
340.03400389272494640.7557237753065856
350.0319212190192963-0.7886937399322641
360.03192121901929630.7886937399322641
370.0297524915007889-0.8195375261621458
380.02975249150078890.8195375261621458
390.0275035567499248-0.8481719847859296
400.02750355674992480.8481719847859296
410.0251804776215212-0.8745199226468983
420.02518047762152120.8745199226468983
430.0227895169439978-0.8985103108100460
440.02278951694399780.8985103108100460
450.0203371207294573-0.9200784761776275
460.02033712072945730.9200784761776275
470.0178299010142077-0.9391662761164232
480.01782990101420770.9391662761164232
490.0152746185967848-0.9557222558399961
500.01527461859678480.9557222558399961
510.0126781664768160-0.9697017887650528
520.01267816647681600.9697017887650528
530.0100475571822880-0.9810672017525982
540.01004755718228800.9810672017525982
550.0073899311633455-0.9897878952222218
560.00738993116334550.9897878952222218
570.0047127299269536-0.9958405251188381
580.00471272992695360.9958405251188381
590.0020268119688738-0.9992101232274361
600.00202681196887380.9992101232274361

n = 61

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
tr>
iweight - wiabscissa - xi
10.05108111944078620.0000000000000000
20.0510144870386973-0.0510589067079743
30.05101448703869730.0510589067079743
40.0508147636688183-0.1019846065622741
50.05081476366881830.1019846065622741
60.0504824703867974-0.1526442402308153
70.05048247038679740.1526442402308153
80.0500184741081783-0.2029056425180585
90.05001847410817830.2029056425180585
100.0494239853467356-0.2526376871690535
110.04942398534673560.2526376871690535
120.0487005550564115-0.3017106289630307
130.04870055505641150.3017106289630307
140.0478500705850956-0.3499964422040668
150.04785007058509560.3499964422040668
160.0468747507508091-0.3973691547257566
170.04687475075080910.3973691547257566
180.0457771400531460-0.4437051765385316
190.04577714005314600.4437051765385316
200.0445601020350835-0.4888836222622521
210.04456010203508350.4888836222622521
220.0432268118124961-0.5327866265029253
230.04322681181249610.5327866265029253
240.0417807477908885-0.5752996513508306
250.04178074779088850.5752996513508306
260.0402256825909982-0.6163117851979217
270.04022568259099820.6163117851979217
280.0385656732070082-0.6557160320950709
290.03856567320700820.6557160320950709
300.0368050504231548-0.6934095908944912
310.03680505042315480.6934095908944912
320.0349484075165334-0.7292941234494651
330.03494840751653340.7292941234494651
340.0330005882759074-0.7632760111723123
350.03300058827590740.7632760111723123
360.0309666743683974-0.7952665992823597
370.03096667436839740.7952665992823597
380.0288519720881834-0.8251824281086599
390.02885197208818340.8251824281086599
400.0266619985241509-0.8529454508476635
410.02666199852415090.8529454508476635
420.0244024671875442-0.8784832372148811
430.02440246718754420.8784832372148811
440.0220792731483190-0.9017291624740011
450.02207927314831900.9017291624740011
460.0196984777461012-0.9226225813829553
470.01969847774610120.9226225813829553
480.0172662929876137-0.9411089866813611
490.01726629298761370.9411089866813611
500.0147890658849379-0.9571401519129841
510.01478906588493790.9571401519129841
520.0122732635078121-0.9706742588331829
530.01227326350781210.9706742588331829
540.0097254618303561-0.9816760112840370
550.00972546183035610.9816760112840370
560.0071523549917491-0.9901167452325170
570.00715235499174910.9901167452325170
580.0045609240060124-0.9959745998151203
590.00456092400601240.9959745998151203
600.0019614533616703-0.9992355976313635
610.00196145336167030.9992355976313635

n = 62

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0502480003752563-0.0251292914218206
20.05024800037525630.0251292914218206
30.0501210695690433-0.0753243954962343
40.05012106956904330.0753243954962343
50.0498675285949524-0.1253292236158968
60.04986752859495240.1253292236158968
70.0494880179196993-0.1750174592490156
80.04948801791969930.1750174592490156
90.0489834962205178-0.2242635856041655
100.04898349622051780.2242635856041655
110.0483552379634777-0.2729432026967263
120.04835523796347770.2729432026967263
130.0476048301841012-0.3209333415941940
140.04760483018410120.3209333415941940
150.0467341684784155-0.3681127750465645
160.04673416847841550.3681127750465645
170.0457454522145702-0.4143623237171261
180.04574545221457020.4143623237171261
190.0446411789771244-0.4595651572401134
200.04464117897712440.4595651572401134
210.0434241382580474-0.5036070893447560
220.04342413825804740.5036070893447560
230.0420974044103851-0.5463768663002511
240.04209740441038510.5463768663002511
250.0406643288824174-0.5877664479530873
260.04066432888241740.5877664479530873
270.0391285317519631-0.6276712806468852
280.03912853175196310.6276712806468852
290.0374938925822800-0.6659905613354794
300.03749389258228000.6659905613354794
310.0357645406227681-0.7026274922222970
320.03576454062276810.7026274922222970
330.0339448443794105-0.7374895252831567
340.03394484437941050.7374895252831567
350.0320394005816247-0.7704885960554193
360.03203940058162470.7704885960554193
370.0300530225739899-0.8015413461039764
380.03005302257398990.8015413461039764
390.0279907281633146-0.8305693336040049
400.02799072816331460.8305693336040049
410.0258577269540247-0.8574992315120710
420.02585772695402470.8574992315120710
430.0236594072086828-0.8822630128318973
440.02365940720868280.8822630128318973
450.0214013222776700-0.9047981225210935
460.02140132227767000.9047981225210935
470.0190891766585732-0.9250476356362037
480.01908917665857320.9250476356362037
490.0167288117901773-0.9429604013923285
500.01672881179017730.9429604013923285
510.0143261918238065-0.9584911729739271
520.01432619182380650.9584911729739271
530.0118873901170105-0.9716007233716518
540.01188739011701050.9716007233716518
550.0094185794284204-0.9822559490972367
560.00941857942842040.9822559490972367
570.0069260419018310-0.9904299711892903
580.00692604190183100.9904299711892903
590.0044163334569309-0.9961022963162671
600.00441633345693090.9961022963162671
610.0018992056795137-0.9992598593087770
620.00189920567951370.9992598593087770

n = 63

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.04947236662393100.0000000000000000
20.0494118330399182-0.0494521871161596
30.04941183303991820.0494521871161596
40.0492303804237476-0.0987833564469453
50.04923038042374760.0987833564469453
60.0489284528205120-0.1478727863578720
70.04892845282051200.1478727863578720
80.0485067890978838-0.1966003467915067
90.04850678909788380.1966003467915067
100.0479664211379951-0.2448467932459534
110.04796642113799510.2448467932459534
120.0473086713122689-0.2924940585862514
130.04730867131226890.2924940585862514
140.0465351492453837-0.3394255419745844
150.04653514924538370.3394255419745844
160.0456477478762926-0.3855263942122479
170.04564774787629260.3855263942122479
180.0446486388259414-0.4306837987951116
190.04464863882594140.4306837987951116
200.0435402670830276-0.4747872479948044
210.04354026708302760.4747872479948044
220.0423253450208158-0.5177288132900333
230.04232534502081580.5177288132900333
240.0410068457596664-0.5594034094862850
250.04100684575966640.5594034094862850
260.0395879958915441-0.5997090518776252
270.03958799589154410.5997090518776252
280.0380722675843496-0.6385471058213654
290.03807226758434960.6385471058213654
300.0364633700854573-0.6758225281149861
310.03646337008545730.6758225281149861
320.0347652406453559-0.7114440995848458
330.03476524064535590.7114440995848458
340.0329820348837793-0.7453246483178474
350.03298203488377930.7453246483178474
360.0311181166222198-0.7773812629903724
370.03111811662221980.7773812629903724
380.0291780472082805-0.8075354957734567
390.02917804720828050.8075354957734567
400.0271665743590979-0.8357135543195029
410.02716657435909790.8357135543195029
420.0250886205533450-0.8618464823641238
430.02508862055334500.8618464823641238
440.0229492710048899-0.8858703285078534
450.02294927100488990.8858703285078534
460.0207537612580391-0.9077263027785316
470.02075376125803910.9077263027785316
480.0185074644601613-0.9273609206218432
490.01850746446016130.9273609206218432
500.0162158784103383-0.9447261340410098
510.01621587841033830.9447261340410098
520.0138846126161156-0.9597794497589419
530.01388461261611560.9597794497589419
540.0115193760768800-0.9724840346975701
550.01151937607688000.9724840346975701
560.0091259686763267-0.9828088105937273
570.00912596867632670.9828088105937273
580.0067102917659601-0.9907285468921895
590.00671029176596010.9907285468921895
600.0042785083468638-0.9962240127779701
610.00427850834686380.9962240127779701
620.0018398745955771-0.9992829840291237
630.00183987459557710.9992829840291237

n = 64

jump to n = 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64
iweight - wiabscissa - xi
10.0486909570091397-0.0243502926634244
20.04869095700913970.0243502926634244
30.0485754674415034-0.0729931217877990
40.04857546744150340.0729931217877990
50.0483447622348030-0.1214628192961206
60.04834476223480300.1214628192961206
70.0479993885964583-0.1696444204239928
80.04799938859645830.1696444204239928
90.0475401657148303-0.2174236437400071
100.04754016571483030.2174236437400071
110.0469681828162100-0.2646871622087674
120.04696818281621000.2646871622087674
130.0462847965813144-0.3113228719902110
140.04628479658131440.3113228719902110
150.0454916279274181-0.3572201583376681
160.04549162792741810.3572201583376681
170.0445905581637566-0.4022701579639916
180.04459055816375660.4022701579639916
190.0435837245293235-0.4463660172534641
200.04358372452932350.4463660172534641
210.0424735151236536-0.4894031457070530
220.04247351512365360.4894031457070530
230.0412625632426235-0.5312794640198946
240.04126256324262350.5312794640198946
250.0399537411327203-0.5718956462026340
260.03995374113272030.5718956462026340
270.0385501531786156-0.6111553551723933
280.03855015317861560.6111553551723933
290.0370551285402400-0.6489654712546573
300.03705512854024000.6489654712546573
310.0354722132568824-0.6852363130542333
320.03547221325688240.6852363130542333
330.0338051618371416-0.7198818501716109
340.03380516183714160.7198818501716109
350.0320579283548516-0.7528199072605319
360.03205792835485160.7528199072605319
370.0302346570724025-0.7839723589433414
380.03023465707240250.7839723589433414
390.0283396726142595-0.8132653151227975
400.02833967261425950.8132653151227975
410.0263774697150547-0.8406292962525803
420.02637746971505470.8406292962525803
430.0243527025687109-0.8659993981540928
440.02435270256871090.8659993981540928
450.0222701738083833-0.8893154459951141
460.02227017380838330.8893154459951141
470.0201348231535302-0.9105221370785028
480.02013482315353020.9105221370785028
490.0179517157756973-0.9295691721319396
500.01795171577569730.9295691721319396
510.0157260304760247-0.9464113748584028
520.01572603047602470.9464113748584028
530.0134630478967186-0.9610087996520538
540.01346304789671860.9610087996520538
550.0111681394601311-0.9733268277899110
560.01116813946013110.9733268277899110
570.0088467598263639-0.9833362538846260
580.00884675982636390.9833362538846260
590.0065044579689784-0.9910133714767443
600.00650445796897840.9910133714767443
610.0041470332605625-0.9963401167719553
620.00414703326056250.9963401167719553
630.0017832807216964-0.9993050417357722
640.00178328072169640.9993050417357722