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Marzio Giaveno

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8 years, 43 days
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These are replies submitted by Marzio Giaveno

Thank you!...

Marzio Giaveno 25
May 23 2017
0 1

Thank you! 

I didn't know how to change the commands in the newer version, as "Convert" in "convert" etc.. neither the question about the failure of the command "sequence".

A last question: I must study the minimal lenght connecting two points over these manifolds (sphere, cone, cylinder). If I write their equations with only 1 sign, z=+sqrt(...), and after all the study with the other sign, z=-sqrt(...), it should work, doesn't it?

Here there is my file and I saw that he ...

Marzio Giaveno 25
May 22 2017
0 1

Here there is my file and I saw that he fails in 3 points. The same happens with with the cone and the cylinder, but I don't understand why..
 

> 

restart
> 

with(DifferentialGeometry):
> 

with(plots):
> 

s := VectorCalculus:-`+`(VectorCalculus:-`+`(x^2, y^2), z^2) = 25

x^2+y^2+z^2 = 25

 (1)
> 

plots:-implicitplot3d(s, x = -5 .. 5, y = -5 .. 5, z = -5 .. 5, style = surface, lightmodel = light1, axes = box, orientation = [-55, 65])

 
> 

N := 50:
> 

X[0] := -5:
> 

assign(seq(X[k], k = 1 .. N-1) = seq(X[0]+k*(X[N]-X[0])/N, k = 1 .. N-1))

Error, invalid left hand side in assignment

  
> 

Y[0] := -3:
> 

P := [seq([X[k], Y[k], f(X[k], Y[k])], k = 0 .. N)]:
> 

SL := Convert([seq(Distance(P[k], P[VectorCalculus:-`+`(k, 1)]), k = 1 .. N)], `+`):
> 

Sol := Minimize(SL, {seq(Y[k] <= 0, k = 1 .. VectorCalculus:-`+`(N, -1))}):
> 

PC := evalf(eval(P, Sol[2]))

Error, invalid input: eval received Minimize(Convert([Distance([-5, -3, -2*sin(5)*cos(3)-(2/5)*sin(5/2)+2*cos(9/5)], [-24/5, Y[1], -2*sin(24/5)*cos(Y[1])-(2/5)*sin(12/5)+2*cos((3/5)*Y[1])]), Distance([-24/5, Y[1], -2*sin(24/5)*cos(Y[1])-(2/5)*sin(12/5)+2*cos((3/5)*Y[1])], [-23/5, Y[2], -2*sin(23/5)*cos(Y[2])-(2/5)*sin(23/10)+2*cos((3/5)*Y[2])]), Distance([-23/5, Y[2], -2*sin(23/5)*cos(Y[2])-(2/5)*sin(23/10)+2*cos((3/5)*Y[2])], [-22/5, Y[3], -2*sin(22/5)*cos(Y[3])-(2/5)*sin(11/5)+2*cos((3/5)*Y[3])]), Distance([-22/5, Y[3], -2*sin(22/5)*cos(Y[3])-(2/5)*sin(11/5)+2*cos((3/5)*Y[3])], [-21/5, Y[4], -2*sin(21/5)*cos(Y[4])-(2/5)*sin(21/10)+2*cos((3...

  
> 

p[2] := pointplot3d(PC, color = black, symbol = solidsphere, symbolsize = 20); display([p[1], p[2]], labels = [x, y, z])

Error, (in plots:-pointplot3d) points are not in the correct format

  

Error, (in plots:-display) expecting plot structures but received: [p[2]]

  
> 

int(sqrt(VectorCalculus:-`+`(VectorCalculus:-`+`((diff(x(t), t))^2, (diff(y(t), t))^2), (diff(z(t), t))^2)), t = 0 .. 1)

int(((diff(x(t), t))^2+(diff(y(t), t))^2+(diff(z(t), t))^2)^(1/2), t = 0 .. 1)

 (2)
> 

z(t) = f(x(t), y(t))

z(t) = 2*sin(x(t))*cos(y(t))+(2/5)*sin((1/2)*x(t))+2*cos((3/5)*y(t))

 (3)
> 

F := (diff(x(t), t))^2+(diff(y(t), t))^2+(diff(f(x(t), y(t)), t))^2
> 

F[x(t)]-(diff(F[diff(x(t), t)], t)) = 0*F[y(t)]-(diff(F[diff(y(t), t)], t)) and 0*F[y(t)]-(diff(F[diff(y(t), t)], t)) = 0

false

 (4)
> 

NULL
> 

ELK := EulerLagrange(F, t, [x(t), y(t)]); EL := remove(has, ELK, K); q[1] := collect(EL[1], diff); q[2] := collect(EL[2], diff)
> 

M := dsolve({q[1], q[2], x(0) = X[0], x(1) = X[N], y(0) = Y[0], y(1) = Y[N]}, {x(t), y(t)})

Error, (in dsolve) not a system with respect to the unknowns {x(t), y(t)}

  
> 

p[3] := odeplot(M, [x(t), y(t), f(x(t), y(t))+0.5e-1], t = 0 .. 1, color = black, thickness = 3); display([p[1], p[3]], labels = [x, y, z])

display([INTERFACE_PLOT3D(GRID(-5. .. 5., -5. .. 5., Array(1..49, 1..49, {(1, 1) = -1.6753527399531034, (1, 2) = -2.016853768004717, (1, 3) = -2.334816313220918, (1, 4) = -2.613257899815091, (1, 5) = -2.837107809928003, (1, 6) = -2.992906102288617, (1, 7) = -3.069444676196839, (1, 8) = -3.0583217370752145, (1, 9) = -2.954384596582328, (1, 10) = -2.756040418061613, (1, 11) = -2.4654200969811404, (1, 12) = -2.0883867067973294, (1, 13) = -1.634386575184872, (1, 14) = -1.1161477982642825, (1, 15) = -.5492375607149518, (1, 16) = 0.48504275635462446e-1, (1, 17) = .657632486398963, (1, 18) = 1.2578374695176022, (1, 19) = 1.82872941539596, (1, 20) = 2.3506332190505397, (1, 21) = 2.8053611130030793, (1, 22) = 3.1769308284832403, (1, 23) = 3.4521992944881568, (1, 24) = 3.6213853665433824, (1, 25) = 3.6784596916846946, (1, 26) = 3.6213853665433824, (1, 27) = 3.4521992944881563, (1, 28) = 3.17693082848324, (1, 29) = 2.8053611130030793, (1, 30) = 2.3506332190505397, (1, 31) = 1.82872941539596, (1, 32) = 1.2578374695176022, (1, 33) = .657632486398963, (1, 34) = 0.48504275635462446e-1, (1, 35) = -.5492375607149518, (1, 36) = -1.1161477982642825, (1, 37) = -1.634386575184872, (1, 38) = -2.0883867067973294, (1, 39) = -2.4654200969811404, (1, 40) = -2.756040418061613, (1, 41) = -2.954384596582328, (1, 42) = -3.0583217370752145, (1, 43) = -3.069444676196839, (1, 44) = -2.992906102288617, (1, 45) = -2.837107809928003, (1, 46) = -2.613257899815091, (1, 47) = -2.334816313220918, (1, 48) = -2.016853768004717, (1, 49) = -1.6753527399531034, (2, 1) = -1.6858544046594999, (2, 2) = -2.0428683402313053, (2, 3) = -2.376603635950035, (2, 4) = -2.670395707324998, (2, 5) = -2.908509989105283, (2, 6) = -3.076869662699001, (2, 7) = -3.1637233976457875, (2, 8) = -3.1602233096942802, (2, 9) = -3.0608870525190492, (2, 10) = -2.86392281956561, (2, 11) = -2.5714018291466485, (2, 12) = -2.1892693511052657, (2, 13) = -1.7271922283782142, (2, 14) = -1.1982478548157296, (2, 15) = -.6184663895575275, (2, 16) = -0.62443238188233385e-2, (2, 17) = .6183469057039394, (2, 18) = 1.2343289829143036, (2, 19) = 1.8206298016698246, (2, 20) = 2.3569078845424674, (2, 21) = 2.824353833668841, (2, 22) = 3.2064353749937595, (2, 23) = 3.4895548428700525, (2, 24) = 3.663591568229177, (2, 25) = 3.722306426650846, (2, 26) = 3.663591568229177, (2, 27) = 3.489554842870052, (2, 28) = 3.2064353749937595, (2, 29) = 2.824353833668841, (2, 30) = 2.3569078845424674, (2, 31) = 1.8206298016698246, (2, 32) = 1.2343289829143036, (2, 33) = .6183469057039394, (2, 34) = -0.62443238188233385e-2, (2, 35) = -.6184663895575275, (2, 36) = -1.1982478548157296, (2, 37) = -1.7271922283782142, (2, 38) = -2.1892693511052657, (2, 39) = -2.5714018291466485, (2, 40) = -2.86392281956561, (2, 41) = -3.0608870525190492, (2, 42) = -3.1602233096942802, (2, 43) = -3.1637233976457875, (2, 44) = -3.076869662699001, (2, 45) = -2.908509989105283, (2, 46) = -2.670395707324998, (2, 47) = -2.376603635950035, (2, 48) = -2.0428683402313053, (2, 49) = -1.6858544046594999, (3, 1) = -1.7178711866727676, (3, 2) = -2.0727687616747867, (3, 3) = -2.4043522475411607, (3, 4) = -2.6960501169958917, (3, 5) = -2.9322183706889007, (3, 6) = -3.0988643480003972, (3, 7) = -3.184310829015927, (3, 8) = -3.179770787617602, (3, 9) = -3.079806851328897, (3, 10) = -2.8826543582196344, (3, 11) = -2.590392668105206, (3, 12) = -2.208955837122222, (3, 13) = -1.7479806242399365, (3, 14) = -1.2204967700919753, (3, 15) = -.6424712721643551, (3, 16) = -0.3222468307172466e-1, (3, 17) = .5902569919945718, (3, 18) = 1.2040866667750192, (3, 19) = 1.788285317968487, (3, 20) = 2.322602378530089, (3, 21) = 2.7883132570090527, (3, 22) = 3.168960714252354, (3, 23) = 3.451009103043551, (3, 24) = 3.6243840742230216, (3, 25) = 3.6828751216058215, (3, 26) = 3.624384074223021, (3, 27) = 3.4510091030435506, (3, 28) = 3.1689607142523535, (3, 29) = 2.7883132570090527, (3, 30) = 2.322602378530089, (3, 31) = 1.788285317968487, (3, 32) = 1.2040866667750192, (3, 33) = .5902569919945718, (3, 34) = -0.3222468307172466e-1, (3, 35) = -.6424712721643551, (3, 36) = -1.2204967700919753, (3, 37) = -1.7479806242399365, (3, 38) = -2.208955837122222, (3, 39) = -2.590392668105206, (3, 40) = -2.8826543582196344, (3, 41) = -3.079806851328897, (3, 42) = -3.179770787617602, (3, 43) = -3.184310829015927, (3, 44) = -3.0988643480003972, (3, 45) = -2.9322183706889007, (3, 46) = -2.6960501169958917, (3, 47) = -2.4043522475411607, (3, 48) = -2.0727687616747867, (3, 49) = -1.7178711866727676, (4, 1) = -1.7709608518648257, (4, 2) = -2.106204322381343, (4, 3) = -2.41780449525517, (4, 4) = -2.690054041989479, (4, 5) = -2.9081500258126614, (4, 6) = -3.0588813398725216, (4, 7) = -3.131259010120447, (4, 8) = -3.117061184507275, (4, 9) = -3.0112681512982724, (4, 10) = -2.812367333812793, (4, 11) = -2.522513699939429, (4, 12) = -2.1475371669633163, (4, 13) = -1.6967951116685474, (4, 14) = -1.182874731337829, (4, 15) = -.6211564571796775, (4, 16) = -0.29255619262385513e-1, (4, 17) = .5736351579686583, (4, 18) = 1.167476016638861, (4, 19) = 1.7321523702142072, (4, 20) = 2.248257913348283, (4, 21) = 2.697855630260755, (4, 22) = 3.0651851119267928, (4, 23) = 3.3372866605853417, (4, 24) = 3.504516088336949, (4, 25) = 3.560928659298607, (4, 26) = 3.504516088336949, (4, 27) = 3.3372866605853417, (4, 28) = 3.0651851119267928, (4, 29) = 2.6978556302607544, (4, 30) = 2.248257913348283, (4, 31) = 1.7321523702142072, (4, 32) = 1.167476016638861, (4, 33) = .5736351579686583, (4, 34) = -0.29255619262385513e-1, (4, 35) = -.6211564571796775, (4, 36) = -1.182874731337829, (4, 37) = -1.6967951116685474, (4, 38) = -2.1475371669633163, (4, 39) = -2.522513699939429, (4, 40) = -2.812367333812793, (4, 41) = -3.0112681512982724, (4, 42) = -3.117061184507275, (4, 43) = -3.131259010120447, (4, 44) = -3.0588813398725216, (4, 45) = -2.9081500258126614, (4, 46) = -2.690054041989479, (4, 47) = -2.41780449525517, (4, 48) = -2.106204322381343, (4, 49) = -1.7709608518648257, (5, 1) = -1.8436642845778766, (5, 2) = -2.1425658685142417, (5, 3) = -2.4172154240345005, (5, 4) = -2.653503589826668, (5, 5) = -2.838182615765068, (5, 6) = -2.9594865454697192, (5, 7) = -3.0076990221824174, (5, 8) = -2.975643242328161, (5, 9) = -2.8590717796415688, (5, 10) = -2.6569381816326803, (5, 11) = -2.3715372210854375, (5, 12) = -2.0085062548795065, (5, 13) = -1.5766860615640859, (5, 14) = -1.0878455431758294, (5, 15) = -.5562805266796771, (5, 16) = 0.16976662789673913e-2, (5, 17) = .5683634306808942, (5, 18) = 1.1252434963276396, (5, 19) = 1.6538216839272684, (5, 20) = 2.136252790187772, (5, 21) = 2.556056084742864, (5, 22) = 2.898759648791379, (5, 23) = 3.1524687575298973, (5, 24) = 3.3083346229073687, (5, 25) = 3.360903937901175, (5, 26) = 3.3083346229073682, (5, 27) = 3.1524687575298973, (5, 28) = 2.898759648791379, (5, 29) = 2.5560560847428637, (5, 30) = 2.136252790187772, (5, 31) = 1.6538216839272684, (5, 32) = 1.1252434963276396, (5, 33) = .5683634306808942, (5, 34) = 0.16976662789673913e-2, (5, 35) = -.5562805266796771, (5, 36) = -1.0878455431758294, (5, 37) = -1.5766860615640859, (5, 38) = -2.0085062548795065, (5, 39) = -2.3715372210854375, (5, 40) = -2.6569381816326803, (5, 41) = -2.8590717796415688, (5, 42) = -2.975643242328161, (5, 43) = -3.0076990221824174, (5, 44) = -2.9594865454697192, (5, 45) = -2.838182615765068, (5, 46) = -2.653503589826668, (5, 47) = -2.4172154240345005, (5, 48) = -2.1425658685142417, (5, 49) = -1.8436642845778766, (6, 1) = -1.9335595169050763, (6, 2) = -2.1810030741674935, (6, 3) = -2.4033326751580057, (6, 4) = -2.5887015884322446, (6, 5) = -2.7260641189431203, (6, 6) = -2.805700560479398, (6, 7) = -2.819696509363408, (6, 8) = -2.7623548907111815, (6, 9) = -2.6305217901803934, (6, 10) = -2.4238107603962527, (6, 11) = -2.1447145298547183, (6, 12) = -1.7985978009473857, (6, 13) = -1.3935698787570918, (6, 14) = -.9402410061929402, (6, 15) = -.4513712728284287, (6, 16) = 0.5857440081443799e-1, (6, 17) = .5739476250695127, (6, 18) = 1.0784933280216684, (6, 19) = 1.555958583342389, (6, 20) = 1.9907086186973209, (6, 21) = 2.36832472032781, (6, 22) = 2.6761593976761784, (6, 23) = 2.9038258665556853, (6, 24) = 3.0436015794731373, (6, 25) = 3.090729064481801, (6, 26) = 3.043601579473137, (6, 27) = 2.9038258665556853, (6, 28) = 2.676159397676178, (6, 29) = 2.3683247203278097, (6, 30) = 1.9907086186973209, (6, 31) = 1.555958583342389, (6, 32) = 1.0784933280216684, (6, 33) = .5739476250695127, (6, 34) = 0.5857440081443799e-1, (6, 35) = -.4513712728284287, (6, 36) = -.9402410061929402, (6, 37) = -1.3935698787570918, (6, 38) = -1.7985978009473857, (6, 39) = -2.1447145298547183, (6, 40) = -2.4238107603962527, (6, 41) = -2.6305217901803934, (6, 42) = -2.7623548907111815, (6, 43) = -2.819696509363408, (6, 44) = -2.805700560479398, (6, 45) = -2.7260641189431203, (6, 46) = -2.5887015884322446, (6, 47) = -2.4033326751580057, (6, 48) = -2.1810030741674935, (6, 49) = -1.9335595169050763, (7, 1) = -2.037358640243374, (7, 2) = -2.220453385655259, (7, 3) = -2.3773563248074625, (7, 4) = -2.499050169066572, (7, 5) = -2.5772429167759285, (7, 6) = -2.6047737194112024, (7, 7) = -2.5759815348640958, (7, 8) = -2.4870197047800686, (7, 9) = -2.336101763153649, (7, 10) = -2.1236666060544303, (7, 11) = -1.8524545077101204, (7, 12) = -1.5274892131634414, (7, 13) = -1.1559653121165023, (7, 14) = -.7470441318666566, (7, 15) = -.3115653059800282, (7, 16) = .13831518934299314, (7, 17) = .5895465444168171, (7, 18) = 1.0286475679666696, (7, 19) = 1.4421955556629467, (7, 20) = 1.8173199026879399, (7, 21) = 2.14218046907009, (7, 22) = 2.406411231252367, (7, 23) = 2.6015111008917384, (7, 24) = 2.721165906339173, (7, 25) = 2.7614883248408115, (7, 26) = 2.7211659063391727, (7, 27) = 2.601511100891738, (7, 28) = 2.406411231252367, (7, 29) = 2.14218046907009, (7, 30) = 1.8173199026879399, (7, 31) = 1.4421955556629467, (7, 32) = 1.0286475679666696, (7, 33) = .5895465444168171, (7, 34) = .13831518934299314, (7, 35) = -.3115653059800282, (7, 36) = -.7470441318666566, (7, 37) = -1.1559653121165023, (7, 38) = -1.5274892131634414, (7, 39) = -1.8524545077101204, (7, 40) = -2.1236666060544303, (7, 41) = -2.336101763153649, (7, 42) = -2.4870197047800686, (7, 43) = -2.5759815348640958, (7, 44) = -2.6047737194112024, (7, 45) = -2.5772429167759285, (7, 46) = -2.499050169066572, (7, 47) = -2.3773563248074625, (7, 48) = -2.220453385655259, (7, 49) = -2.037358640243374, (8, 1) = -2.151043492951908, (8, 2) = -2.2596814714241105, (8, 3) = -2.340880484240399, (8, 4) = -2.3888971363776097, (8, 5) = -2.398625671598357, (8, 6) = -2.3658660461693684, (8, 7) = -2.2875645391181463, (8, 8) = -2.162015573305341, (8, 9) = -1.989014930776238, (8, 10) = -1.769956496553864, (8, 11) = -1.5078669752494216, (8, 12) = -1.207375596744724, (8, 13) = -.8746185512476174, (8, 14) = -.517080653794905, (8, 15) = -.14337941541078725, (8, 16) = .2370008225688781, (8, 17) = .6140148600674057, (8, 18) = .9773911095061538, (8, 19) = 1.316981661749097, (8, 20) = 1.6231142768068794, (8, 21) = 1.8869324326176025, (8, 22) = 2.100709947011552, (8, 23) = 2.258127633873826, (8, 24) = 2.3545009260341185, (8, 25) = 2.386949333557908, (8, 26) = 2.3545009260341185, (8, 27) = 2.258127633873826, (8, 28) = 2.100709947011552, (8, 29) = 1.8869324326176022, (8, 30) = 1.6231142768068794, (8, 31) = 1.316981661749097, (8, 32) = .9773911095061538, (8, 33) = .6140148600674057, (8, 34) = .2370008225688781, (8, 35) = -.14337941541078725, (8, 36) = -.517080653794905, (8, 37) = -.8746185512476174, (8, 38) = -1.207375596744724, (8, 39) = -1.5078669752494216, (8, 40) = -1.769956496553864, (8, 41) = -1.989014930776238, (8, 42) = -2.162015573305341, (8, 43) = -2.2875645391181463, (8, 44) = -2.3658660461693684, (8, 45) = -2.398625671598357, (8, 46) = -2.3888971363776097, (8, 47) = -2.340880484240399, (8, 48) = -2.2596814714241105, (8, 49) = -2.151043492951908, (9, 1) = -2.2700343266445264, (9, 2) = -2.2973275420163395, (9, 3) = -2.2958192576093555, (9, 4) = -2.2633428399371707, (9, 5) = -2.198273537773276, (9, 6) = -2.099646016252567, (9, 7) = -1.9672550788394203, (9, 8) = -1.801734301051617, (9, 9) = -1.6046080867662122, (9, 10) = -1.378313655996101, (9, 11) = -1.1261906414132596, (9, 12) = -.8524372611376083, (9, 13) = -.5620333933362612, (9, 14) = -.260632246621586, (9, 15) = 0.4557635909992541e-1, (9, 16) = .35002687032162905, (9, 17) = .6459577455469472, (9, 18) = .9266039213593682, (9, 19) = 1.18539523514844, (9, 20) = 1.4161536925114, (9, 21) = 1.6132824038149236, (9, 22) = 1.7719392400264398, (9, 23) = 1.8881887650533804, (9, 24) = 1.9591267709287434, (9, 25) = 1.9829727426502657, (9, 26) = 1.9591267709287434, (9, 27) = 1.8881887650533804, (9, 28) = 1.7719392400264398, (9, 29) = 1.6132824038149234, (9, 30) = 1.4161536925114, (9, 31) = 1.18539523514844, (9, 32) = .9266039213593682, (9, 33) = .6459577455469472, (9, 34) = .35002687032162905, (9, 35) = 0.4557635909992541e-1, (9, 36) = -.260632246621586, (9, 37) = -.5620333933362612, (9, 38) = -.8524372611376083, (9, 39) = -1.1261906414132596, (9, 40) = -1.378313655996101, (9, 41) = -1.6046080867662122, (9, 42) = -1.801734301051617, (9, 43) = -1.9672550788394203, (9, 44) = -2.099646016252567, (9, 45) = -2.198273537773276, (9, 46) = -2.2633428399371707, (9, 47) = -2.2958192576093555, (9, 48) = -2.2973275420163395, (9, 49) = -2.2700343266445264, (10, 1) = -2.3893842122936846, (10, 2) = -2.3319625057614752, (10, 3) = -2.244320314780622, (10, 4) = -2.1280159546224215, (10, 5) = -1.9850498990460204, (10, 6) = -1.817825537843007, (10, 7) = -1.6291042148672572, (10, 8) = -1.4219555706900062, (10, 9) = -1.1997042487845488, (10, 10) = -.9658740301028924, (10, 11) = -.7241304401614925, (10, 12) = -.47822282826122087, (10, 13) = -.23192685387712478, (10, 14) = 0.11011765276317864e-1, (10, 15) = .24693148100434115, (10, 16) = .4723064546335851, (10, 17) = .6837948470499107, (10, 18) = .8782833962463551, (10, 19) = 1.0529279141676111, (10, 20) = 1.205189420536711, (10, 21) = 1.3328657065344065, (10, 22) = 1.434118184191717, (10, 23) = 1.5074939275283923, (10, 24) = 1.5519428490532965, (10, 25) = 1.5668299812700055, (10, 26) = 1.5519428490532965, (10, 27) = 1.5074939275283923, (10, 28) = 1.434118184191717, (10, 29) = 1.332865706534406, (10, 30) = 1.205189420536711, (10, 31) = 1.0529279141676111, (10, 32) = .8782833962463551, (10, 33) = .6837948470499107, (10, 34) = .4723064546335851, (10, 35) = .24693148100434115, (10, 36) = 0.11011765276317864e-1, (10, 37) = -.23192685387712478, (10, 38) = -.47822282826122087, (10, 39) = -.7241304401614925, (10, 40) = -.9658740301028924, (10, 41) = -1.1997042487845488, (10, 42) = -1.4219555706900062, (10, 43) = -1.6291042148672572, (10, 44) = -1.817825537843007, (10, 45) = -1.9850498990460204, (10, 46) = -2.1280159546224215, (10, 47) = -2.244320314780622, (10, 48) = -2.3319625057614752, (10, 49) = -2.3893842122936846, (11, 1) = -2.503990818422208, (11, 2) = -2.362147614498795, (11, 3) = -2.1886698563511766, (11, 4) = -1.9888279060159961, (11, 5) = -1.768234905655917, (11, 6) = -1.5326513015695138, (11, 7) = -1.2877947028839367, (11, 8) = -1.039162377499028, (11, 9) = -.7918729730488794, (11, 10) = -.5505330679363494, (11, 11) = -.31913295173718303, (11, 12) = -.10097465966655708, (11, 13) = .10136619647668618, (11, 14) = .28604478295742686, (11, 15) = .45191906619436406, (11, 16) = .5984923937790891, (11, 17) = .7258307842601879, (11, 18) = .8344601284061512, (11, 19) = .925249307171442, (11, 20) = .9992857500617205, (11, 21) = 1.0577501710185495, (11, 22) = 1.1017971198621996, (11, 23) = 1.132447582129544, (11, 24) = 1.1504991687442991, (11, 25) = 1.15645849191763, (11, 26) = 1.1504991687442994, (11, 27) = 1.132447582129544, (11, 28) = 1.1017971198621996, (11, 29) = 1.0577501710185493, (11, 30) = .9992857500617205, (11, 31) = .925249307171442, (11, 32) = .8344601284061512, (11, 33) = .7258307842601879, (11, 34) = .5984923937790891, (11, 35) = .45191906619436406, (11, 36) = .28604478295742686, (11, 37) = .10136619647668618, (11, 38) = -.10097465966655708, (11, 39) = -.31913295173718303, (11, 40) = -.5505330679363494, (11, 41) = -.7918729730488794, (11, 42) = -1.039162377499028, (11, 43) = -1.2877947028839367, (11, 44) = -1.5326513015695138, (11, 45) = -1.768234905655917, (11, 46) = -1.9888279060159961, (11, 47) = -2.1886698563511766, (11, 48) = -2.362147614498795, (11, 49) = -2.503990818422208, (12, 1) = -2.6088164262004083, (12, 2) = -2.386496043272335, (12, 3) = -2.1311931041304017, (12, 4) = -1.8517165843307937, (12, 5) = -1.5571235043228513, (12, 6) = -1.2563745194252474, (12, 7) = -.9580053822112262, (12, 8) = -.6698275649612464, (12, 9) = -.3986699004926191, (12, 10) = -.15017117448917638, (12, 11) = 0.7136873295265911e-1, (12, 12) = .26307420141557847, (12, 13) = .42351359847372505, (12, 14) = .5526541617837593, (12, 15) = .6517556562969637, (12, 16) = .7232090870478357, (12, 17) = .7703291092429272, (12, 18) = .7971107389136751, (12, 19) = .8079624450174789, (12, 20) = .807428634704786, (12, 21) = .7999148886749613, (12, 22) = .7894290499626198, (12, 23) = .77935043019642, (12, 24) = .7722380110489249, (12, 25) = .769686647860298, (12, 26) = .7722380110489251, (12, 27) = .77935043019642, (12, 28) = .7894290499626198, (12, 29) = .7999148886749611, (12, 30) = .807428634704786, (12, 31) = .8079624450174789, (12, 32) = .7971107389136751, (12, 33) = .7703291092429272, (12, 34) = .7232090870478357, (12, 35) = .6517556562969637, (12, 36) = .5526541617837593, (12, 37) = .42351359847372505, (12, 38) = .26307420141557847, (12, 39) = 0.7136873295265911e-1, (12, 40) = -.15017117448917638, (12, 41) = -.3986699004926191, (12, 42) = -.6698275649612464, (12, 43) = -.9580053822112262, (12, 44) = -1.2563745194252474, (12, 45) = -1.5571235043228513, (12, 46) = -1.8517165843307937, (12, 47) = -2.1311931041304017, (12, 48) = -2.386496043272335, (12, 49) = -2.6088164262004083, (13, 1) = -2.6991066736139078, (13, 2) = -2.403733747864513, (13, 3) = -2.0741546274202567, (13, 4) = -1.7223904371554513, (13, 5) = -1.3606243516555585, (13, 6) = -1.0007219914650367, (13, 7) = -.6537772572845709, (13, 8) = -.32970232269532596, (13, 9) = -0.36878428015406195e-1, (13, 10) = .2181186628183106, (13, 11) = .4307080412855858, (13, 12) = .5984011617357232, (13, 13) = .7208048302563097, (13, 14) = .7995311784302165, (13, 15) = .8380201854299474, (13, 16) = .8412841052155983, (13, 17) = .8155865180368478, (13, 18) = .7680715118105826, (13, 19) = .706360589392165, (13, 20) = .6381362029101529, (13, 21) = .5707312811622314, (13, 22) = .5107437222433524, (13, 23) = .46369359022824175, (13, 24) = .43373873759539383, (13, 25) = .42346186404985264, (13, 26) = .43373873759539405, (13, 27) = .46369359022824175, (13, 28) = .5107437222433524, (13, 29) = .5707312811622312, (13, 30) = .6381362029101529, (13, 31) = .706360589392165, (13, 32) = .7680715118105826, (13, 33) = .8155865180368478, (13, 34) = .8412841052155983, (13, 35) = .8380201854299474, (13, 36) = .7995311784302165, (13, 37) = .7208048302563097, (13, 38) = .5984011617357232, (13, 39) = .4307080412855858, (13, 40) = .2181186628183106, (13, 41) = -0.36878428015406195e-1, (13, 42) = -.32970232269532596, (13, 43) = -.6537772572845709, (13, 44) = -1.0007219914650367, (13, 45) = -1.3606243516555585, (13, 46) = -1.7223904371554513, (13, 47) = -2.0741546274202567, (13, 48) = -2.403733747864513, (13, 49) = -2.6991066736139078, (14, 1) = -2.770598559316117, (14, 2) = -2.4127569587510607, (14, 3) = -2.0196628060146002, (14, 4) = -1.6060839984199493, (14, 5) = -1.1868769468098042, (14, 6) = -.7763913649720879, (14, 7) = -.38790867668788365, (14, 8) = -0.33137406785972656e-1, (14, 9) = .2782137100450077, (14, 10) = .5387676812245442, (14, 11) = .7437032852666424, (14, 12) = .8908629718123662, (14, 13) = .9807415362691398, (14, 14) = 1.0163576915627193, (14, 15) = 1.0030157611848343, (14, 16) = .9479694809170229, (14, 17) = .8600041151620456, (14, 18) = .7489565855149324, (14, 19) = .6251959236916693, (14, 20) = .4990879861723103, (14, 21) = .3804689350351862, (14, 22) = .278151475705291, (14, 23) = .19948627203183422, (14, 24) = .14999840255541108, (14, 25) = .13311529224338936, (14, 26) = .1499984025554113, (14, 27) = .19948627203183422, (14, 28) = .278151475705291, (14, 29) = .380468935035186, (14, 30) = .4990879861723103, (14, 31) = .6251959236916693, (14, 32) = .7489565855149324, (14, 33) = .8600041151620456, (14, 34) = .9479694809170229, (14, 35) = 1.0030157611848343, (14, 36) = 1.0163576915627193, (14, 37) = .9807415362691398, (14, 38) = .8908629718123662, (14, 39) = .7437032852666424, (14, 40) = .5387676812245442, (14, 41) = .2782137100450077, (14, 42) = -0.33137406785972656e-1, (14, 43) = -.38790867668788365, (14, 44) = -.7763913649720879, (14, 45) = -1.1868769468098042, (14, 46) = -1.6060839984199493, (14, 47) = -2.0196628060146002, (14, 48) = -2.4127569587510607, (14, 49) = -2.770598559316117, (15, 1) = -2.819708684844937, (15, 2) = -2.412683799111071, (15, 3) = -1.969582535531426, (15, 4) = -1.5073353999995158, (15, 5) = -1.0429035149042816, (15, 6) = -.5925923881454922, (15, 7) = -.1714057398678719, (15, 8) = .2075335889495733, (15, 9) = .5334716912277468, (15, 10) = .7984007453028926, (15, 11) = .9973103247609568, (15, 12) = 1.1283034808304728, (15, 13) = 1.1925741470400655, (15, 14) = 1.1942484760283438, (15, 15) = 1.140098640230143, (15, 16) = 1.0391431549737098, (15, 17) = .9021526751182642, (15, 18) = .7410842633870919, (15, 19) = .5684701556278555, (15, 20) = .39678892548376754, (15, 21) = .2378475986163766, (15, 22) = .10220265844547027, (15, 23) = -0.13539502336668008e-2, (15, 24) = -0.6622069464956382e-1, (15, 25) = -0.8830507468176574e-1, (15, 26) = -0.6622069464956337e-1, (15, 27) = -0.13539502336668008e-2, (15, 28) = .1022026584454705, (15, 29) = .2378475986163764, (15, 30) = .39678892548376754, (15, 31) = .5684701556278555, (15, 32) = .7410842633870919, (15, 33) = .9021526751182642, (15, 34) = 1.0391431549737098, (15, 35) = 1.140098640230143, (15, 36) = 1.1942484760283438, (15, 37) = 1.1925741470400655, (15, 38) = 1.1283034808304728, (15, 39) = .9973103247609568, (15, 40) = .7984007453028926, (15, 41) = .5334716912277468, (15, 42) = .2075335889495733, (15, 43) = -.1714057398678719, (15, 44) = -.5925923881454922, (15, 45) = -1.0429035149042816, (15, 46) = -1.5073353999995158, (15, 47) = -1.969582535531426, (15, 48) = -2.412683799111071, (15, 49) = -2.819708684844937, (16, 1) = -2.8436935523667604, (16, 2) = -2.402897752508582, (16, 3) = -1.925459908115073, (16, 4) = -1.4297954455847346, (16, 5) = -.9343106537414203, (16, 6) = -.45665395515132023, (16, 7) = -0.13011657140830968e-1, (16, 8) = .38252228180455705, (16, 9) = .7184763037428137, (16, 10) = .9864094383352991, (16, 11) = 1.1811813446379418, (16, 12) = 1.3010740117806567, (16, 13) = 1.3477614252725534, (16, 14) = 1.3261301434736619, (16, 15) = 1.243960213759154, (16, 16) = 1.1114819090353991, (16, 17) = .9408291206834996, (16, 18) = .7454146723367336, (16, 19) = .5392561292735545, (16, 20) = .33628272850057384, (16, 21) = .1496547575566456, (16, 22) = -0.8873962939191404e-2, (16, 23) = -.1295218557404676, (16, 24) = -.20494825803865013, (16, 25) = -.2306040065236652, (16, 26) = -.2049482580386497, (16, 27) = -.1295218557404676, (16, 28) = -0.8873962939191182e-2, (16, 29) = .14965475755664537, (16, 30) = .33628272850057384, (16, 31) = .5392561292735545, (16, 32) = .7454146723367336, (16, 33) = .9408291206834996, (16, 34) = 1.1114819090353991, (16, 35) = 1.243960213759154, (16, 36) = 1.3261301434736619, (16, 37) = 1.3477614252725534, (16, 38) = 1.3010740117806567, (16, 39) = 1.1811813446379418, (16, 40) = .9864094383352991, (16, 41) = .7184763037428137, (16, 42) = .38252228180455705, (16, 43) = -0.13011657140830968e-1, (16, 44) = -.45665395515132023, (16, 45) = -.9343106537414203, (16, 46) = -1.4297954455847346, (16, 47) = -1.925459908115073, (16, 48) = -2.402897752508582, (16, 49) = -2.8436935523667604, (17, 1) = -2.840774927926011, (17, 2) = -2.383081042659304, (17, 3) = -1.8884620679862387, (17, 4) = -1.3760764458312154, (17, 5) = -.8650535886432514, (17, 6) = -.3737138784932754, (17, 7) = 0.8116464148305114e-1, (17, 8) = .485002090905857, (17, 9) = .8259678180422032, (17, 10) = 1.0954041162437411, (17, 11) = 1.2881056387209564, (17, 12) = 1.4024439104667612, (17, 13) = 1.4403331224918678, (17, 14) = 1.407040320364275, (17, 15) = 1.310849865815591, (17, 16) = 1.1625983636676969, (17, 17) = .9751018333333499, (17, 18) = .7625015232702465, (17, 19) = .5395582188985543, (17, 20) = .32092703136982226, (17, 21) = .12044538520233727, (17, 22) = -0.4953378265116548e-1, (17, 23) = -.1787337086539773, (17, 24) = -.25944388858763756, (17, 25) = -.2868866567819448, (17, 26) = -.25944388858763756, (17, 27) = -.17873370865397686, (17, 28) = -0.4953378265116504e-1, (17, 29) = .12044538520233705, (17, 30) = .32092703136982226, (17, 31) = .5395582188985543, (17, 32) = .7625015232702465, (17, 33) = .9751018333333499, (17, 34) = 1.1625983636676969, (17, 35) = 1.310849865815591, (17, 36) = 1.407040320364275, (17, 37) = 1.4403331224918678, (17, 38) = 1.4024439104667612, (17, 39) = 1.2881056387209564, (17, 40) = 1.0954041162437411, (17, 41) = .8259678180422032, (17, 42) = .485002090905857, (17, 43) = 0.8116464148305114e-1, (17, 44) = -.3737138784932754, (17, 45) = -.8650535886432514, (17, 46) = -1.3760764458312154, (17, 47) = -1.8884620679862387, (17, 48) = -2.383081042659304, (17, 49) = -2.840774927926011, (18, 1) = -2.8102247759106356, (18, 2) = -2.353236408912564, (18, 3) = -1.8593347700201497, (18, 4) = -1.3476472792393486, (18, 5) = -.837273157614904, (18, 6) = -.3465047319857515, (18, 7) = .10790466029500001, (18, 8) = .5113954267537899, (18, 9) = .852151908316523, (18, 10) = 1.1215254473733829, (18, 11) = 1.314313411218162, (18, 12) = 1.4288835865985507, (18, 13) = 1.467140135615742, (18, 14) = 1.4343342179743526, (18, 15) = 1.338729139589135, (18, 16) = 1.1911361900919397, (18, 17) = 1.00434290911357, (18, 18) = .7924601323750997, (18, 19) = .5702176148352613, (18, 20) = .3522401614033521, (18, 21) = .1523369251989879, (18, 22) = -0.17164170754676578e-1, (18, 23) = -.14600703762849299, (18, 24) = -.22649661259069576, (18, 25) = -.2538647702583763, (18, 26) = -.22649661259069576, (18, 27) = -.14600703762849299, (18, 28) = -0.17164170754676356e-1, (18, 29) = .15233692519898767, (18, 30) = .3522401614033521, (18, 31) = .5702176148352613, (18, 32) = .7924601323750997, (18, 33) = 1.00434290911357, (18, 34) = 1.1911361900919397, (18, 35) = 1.338729139589135, (18, 36) = 1.4343342179743526, (18, 37) = 1.467140135615742, (18, 38) = 1.4288835865985507, (18, 39) = 1.314313411218162, (18, 40) = 1.1215254473733829, (18, 41) = .852151908316523, (18, 42) = .5113954267537899, (18, 43) = .10790466029500001, (18, 44) = -.3465047319857515, (18, 45) = -.837273157614904, (18, 46) = -1.3476472792393486, (18, 47) = -1.8593347700201497, (18, 48) = -2.353236408912564, (18, 49) = -2.8102247759106356, (19, 1) = -2.7524060045718626, (19, 2) = -2.3136962486615227, (19, 3) = -1.838379389691522, (19, 4) = -1.344779129879576, (19, 5) = -.8512124894948265, (19, 6) = -.37524493868464415, (19, 7) = 0.6701026414543043e-1, (19, 8) = .4615191468576143, (19, 9) = .7968544811135643, (19, 10) = 1.0646020523553226, (19, 11) = 1.2596295445154353, (19, 12) = 1.380207893652382, (19, 13) = 1.4279814322571511, (19, 14) = 1.4077897481000141, (19, 15) = 1.3273506316858747, (19, 16) = 1.1968195051322619, (19, 17) = 1.0282460521116714, (19, 18) = .8349531732773697, (19, 19) = .6308666844675004, (19, 20) = .4298262145863172, (19, 21) = .24490845960217067, (19, 22) = 0.8779328009828768e-1, (19, 23) = -0.3179887670269754e-1, (19, 24) = -.1065730043737998, (19, 25) = -.13200814788735737, (19, 26) = -.1065730043737998, (19, 27) = -0.317988767026971e-1, (19, 28) = 0.8779328009828813e-1, (19, 29) = .24490845960217045, (19, 30) = .4298262145863172, (19, 31) = .6308666844675004, (19, 32) = .8349531732773697, (19, 33) = 1.0282460521116714, (19, 34) = 1.1968195051322619, (19, 35) = 1.3273506316858747, (19, 36) = 1.4077897481000141, (19, 37) = 1.4279814322571511, (19, 38) = 1.380207893652382, (19, 39) = 1.2596295445154353, (19, 40) = 1.0646020523553226, (19, 41) = .7968544811135643, (19, 42) = .4615191468576143, (19, 43) = 0.6701026414543043e-1, (19, 44) = -.37524493868464415, (19, 45) = -.8512124894948265, (19, 46) = -1.344779129879576, (19, 47) = -1.838379389691522, (19, 48) = -2.3136962486615227, (19, 49) = -2.7524060045718626, (20, 1) = -2.66876716012049, (20, 2) = -2.2651186309126805, (20, 3) = -1.8254502782186153, (20, 4) = -1.366544148194556, (20, 5) = -.9052168780341128, (20, 6) = -.45763971339347953, (20, 7) = -0.38698141433405775e-1, (20, 8) = .338582087485334, (20, 9) = .6635188157531893, (20, 10) = .9281475271481762, (20, 11) = 1.1274707838821816, (20, 12) = 1.2595737472874557, (20, 13) = 1.3256023561409505, (20, 14) = 1.3296067390562656, (20, 15) = 1.2782583029064951, (20, 16) = 1.180454413631041, (20, 17) = 1.0468294321022247, (20, 18) = .8891948766310381, (20, 19) = .7199344824442095, (20, 20) = .5513817884163903, (20, 21) = .3952085234696303, (20, 22) = .2618514633589586, (20, 23) = .16000361116986017, (20, 24) = 0.9619260275425412e-1, (20, 25) = 0.7446528185104762e-1, (20, 26) = 0.9619260275425434e-1, (20, 27) = .16000361116986017, (20, 28) = .2618514633589586, (20, 29) = .3952085234696301, (20, 30) = .5513817884163903, (20, 31) = .7199344824442095, (20, 32) = .8891948766310381, (20, 33) = 1.0468294321022247, (20, 34) = 1.180454413631041, (20, 35) = 1.2782583029064951, (20, 36) = 1.3296067390562656, (20, 37) = 1.3256023561409505, (20, 38) = 1.2595737472874557, (20, 39) = 1.1274707838821816, (20, 40) = .9281475271481762, (20, 41) = .6635188157531893, (20, 42) = .338582087485334, (20, 43) = -0.38698141433405775e-1, (20, 44) = -.45763971339347953, (20, 45) = -.9052168780341128, (20, 46) = -1.366544148194556, (20, 47) = -1.8254502782186153, (20, 48) = -2.2651186309126805, (20, 49) = -2.66876716012049, (21, 1) = -2.5617911862391036, (21, 2) = -2.2084702407921037, (21, 3) = -1.8199724646660418, (21, 4) = -1.410866980173369, (21, 5) = -.9958167447306661, (21, 6) = -.5889917063653698, (21, 7) = -.20351498491761233, (21, 8) = .14903489088963795, (21, 9) = .4590452528240607, (21, 10) = .7191970906199471, (21, 11) = .9246865734601747, (21, 12) = 1.0733321979315096, (21, 13) = 1.165564498538206, (21, 14) = 1.2043003984823635, (21, 15) = 1.1947093047121258, (21, 16) = 1.1438827442492319, (21, 17) = 1.0604234954039102, (21, 18) = .9539736081433696, (21, 19) = .8347032844430511, (21, 20) = .7127841915249333, (21, 21) = .5978713406045306, (21, 22) = .49861715869335055, (21, 23) = .4222398350801284, (21, 24) = .3741655065956597, (21, 25) = .35776046818347584, (21, 26) = .3741655065956597, (21, 27) = .42223983508012863, (21, 28) = .49861715869335077, (21, 29) = .5978713406045304, (21, 30) = .7127841915249333, (21, 31) = .8347032844430511, (21, 32) = .9539736081433696, (21, 33) = 1.0604234954039102, (21, 34) = 1.1438827442492319, (21, 35) = 1.1947093047121258, (21, 36) = 1.2043003984823635, (21, 37) = 1.165564498538206, (21, 38) = 1.0733321979315096, (21, 39) = .9246865734601747, (21, 40) = .7191970906199471, (21, 41) = .4590452528240607, (21, 42) = .14903489088963795, (21, 43) = -.20351498491761233, (21, 44) = -.5889917063653698, (21, 45) = -.9958167447306661, (21, 46) = -1.410866980173369, (21, 47) = -1.8199724646660418, (21, 48) = -2.2084702407921037, (21, 49) = -2.5617911862391036, (22, 1) = -2.4349003413347736, (22, 2) = -2.1449968689479446, (22, 3) = -1.820978815838144, (22, 4) = -1.474626812843328, (22, 5) = -1.1178899789830423, (22, 6) = -.7624164396782536, (22, 7) = -.41910856674732144, (22, 8) = -0.9772125399237597e-1, (22, 9) = .19348048721955147, (22, 10) = .44799104463499895, (22, 11) = .661250550368294, (22, 12) = .8307414784307257, (22, 13) = .9559928868835993, (22, 14) = 1.0384937538880392, (22, 15) = 1.0815208256948352, (22, 16) = 1.0898901030168098, (22, 17) = 1.0696443797029203, (22, 18) = 1.0276919722492694, (22, 19) = .9714138232462579, (22, 20) = .9082574389876433, (22, 21) = .8453365773390474, (22, 22) = .78905521863689, (22, 23) = .7447731485424101, (22, 24) = .7165285118693439, (22, 25) = .7068300482869234, (22, 26) = .7165285118693441, (22, 27) = .7447731485424103, (22, 28) = .7890552186368902, (22, 29) = .8453365773390472, (22, 30) = .9082574389876433, (22, 31) = .9714138232462579, (22, 32) = 1.0276919722492694, (22, 33) = 1.0696443797029203, (22, 34) = 1.0898901030168098, (22, 35) = 1.0815208256948352, (22, 36) = 1.0384937538880392, (22, 37) = .9559928868835993, (22, 38) = .8307414784307257, (22, 39) = .661250550368294, (22, 40) = .44799104463499895, (22, 41) = .19348048721955147, (22, 42) = -0.9772125399237597e-1, (22, 43) = -.41910856674732144, (22, 44) = -.7624164396782536, (22, 45) = -1.1178899789830423, (22, 46) = -1.474626812843328, (22, 47) = -1.820978815838144, (22, 48) = -2.1449968689479446, (22, 49) = -2.4349003413347736, (23, 1) = -2.292321252197436, (23, 2) = -2.0761825887798624, (23, 3) = -1.8271649136600858, (23, 4) = -1.5538053897325617, (23, 5) = -1.2648965017129, (23, 6) = -.969153086232017, (23, 7) = -.674894424901581, (23, 8) = -.3897542282744668, (23, 9) = -.12042996416185048, (23, 10) = .1275188690232697, (23, 11) = .34981617186100067, (23, 12) = .5435535695966159, (23, 13) = .7072115569476669, (23, 14) = .8406181803464753, (23, 15) = .9448487146188895, (23, 16) = 1.02207235423677, (23, 17) = 1.075354215831144, (23, 18) = 1.108422840395586, (23, 19) = 1.1254148093724574, (23, 20) = 1.1306089879732548, (23, 21) = 1.1281632441668277, (23, 22) = 1.121866250055727, (23, 23) = 1.114916166405796, (23, 24) = 1.1097366781500984, (23, 25) = 1.1078390490582941, (23, 26) = 1.1097366781500986, (23, 27) = 1.114916166405796, (23, 28) = 1.1218662500557273, (23, 29) = 1.1281632441668275, (23, 30) = 1.1306089879732548, (23, 31) = 1.1254148093724574, (23, 32) = 1.108422840395586, (23, 33) = 1.075354215831144, (23, 34) = 1.02207235423677, (23, 35) = .9448487146188895, (23, 36) = .8406181803464753, (23, 37) = .7072115569476669, (23, 38) = .5435535695966159, (23, 39) = .34981617186100067, (23, 40) = .1275188690232697, (23, 41) = -.12042996416185048, (23, 42) = -.3897542282744668, (23, 43) = -.674894424901581, (23, 44) = -.969153086232017, (23, 45) = -1.2648965017129, (23, 46) = -1.5538053897325617, (23, 47) = -1.8271649136600858, (23, 48) = -2.0761825887798624, (23, 49) = -2.292321252197436, (24, 1) = -2.138915798453273, (24, 2) = -2.0036992454147176, (24, 3) = -1.836959135315227, (24, 4) = -1.6436744537204944, (24, 5) = -1.429174767009613, (24, 6) = -1.1989570099093427, (24, 7) = -.9585067400138186, (24, 8) = -.7131306690342066, (24, 9) = -.46780662455725386, (24, 10) = -.22705619098656993, (24, 11) = 0.5155834400949799e-2, (24, 12) = .22549230454808158, (24, 13) = .43128341012050775, (24, 14) = .6205351078228294, (24, 15) = .7919075952084843, (24, 16) = .944666444415378, (24, 17) = 1.0786101747923185, (24, 18) = 1.1939790224380173, (24, 19) = 1.291350411595087, (24, 20) = 1.3715271173584327, (24, 21) = 1.4354243117306675, (24, 22) = 1.483961598697262, (24, 23) = 1.5179657745370143, (24, 24) = 1.538089415405079, (24, 25) = 1.5447495254102637, (24, 26) = 1.538089415405079, (24, 27) = 1.5179657745370143, (24, 28) = 1.4839615986972623, (24, 29) = 1.4354243117306673, (24, 30) = 1.3715271173584327, (24, 31) = 1.291350411595087, (24, 32) = 1.1939790224380173, (24, 33) = 1.0786101747923185, (24, 34) = .944666444415378, (24, 35) = .7919075952084843, (24, 36) = .6205351078228294, (24, 37) = .43128341012050775, (24, 38) = .22549230454808158, (24, 39) = 0.5155834400949799e-2, (24, 40) = -.22705619098656993, (24, 41) = -.46780662455725386, (24, 42) = -.7131306690342066, (24, 43) = -.9585067400138186, (24, 44) = -1.1989570099093427, (24, 45) = -1.429174767009613, (24, 46) = -1.6436744537204944, (24, 47) = -1.836959135315227, (24, 48) = -2.0036992454147176, (24, 49) = -2.138915798453273, (25, 1) = -1.9799849932008908, (25, 2) = -1.9293482926426326, (25, 3) = -1.8486047572649276, (25, 4) = -1.7390143629319692, (25, 5) = -1.602287231093868, (25, 6) = -1.4405569429133842, (25, 7) = -1.2563472454454787, (25, 8) = -1.0525326694086108, (25, 9) = -.8322936730942857, (25, 10) = -.5990670123791488, (25, 11) = -.3564921112989847, (25, 12) = -.10835427005387271, (25, 13) = .14147440333540573, (25, 14) = .38909541597797476, (25, 15) = .6306447247905378, (25, 16) = .8623530335973327, (25, 17) = 1.0806046117362798, (25, 18) = 1.2819937163266504, (25, 19) = 1.4633777377476418, (25, 20) = 1.6219262390104359, (25, 21) = 1.7551651237807455, (25, 22) = 1.8610152438246286, (25, 23) = 1.9378248434212897, (25, 24) = 1.9843953344586582, (25, 25) = 2.0, (25, 26) = 1.9843953344586582, (25, 27) = 1.9378248434212897, (25, 28) = 1.8610152438246286, (25, 29) = 1.7551651237807453, (25, 30) = 1.6219262390104359, (25, 31) = 1.4633777377476418, (25, 32) = 1.2819937163266504, (25, 33) = 1.0806046117362798, (25, 34) = .8623530335973327, (25, 35) = .6306447247905378, (25, 36) = .38909541597797476, (25, 37) = .14147440333540573, (25, 38) = -.10835427005387271, (25, 39) = -.3564921112989847, (25, 40) = -.5990670123791488, (25, 41) = -.8322936730942857, (25, 42) = -1.0525326694086108, (25, 43) = -1.2563472454454787, (25, 44) = -1.4405569429133842, (25, 45) = -1.602287231093868, (25, 46) = -1.7390143629319692, (25, 47) = -1.8486047572649276, (25, 48) = -1.9293482926426326, (25, 49) = -1.9799849932008908, (26, 1) = -1.8210541879485085, (26, 2) = -1.8549973398705475, (26, 3) = -1.860250379214628, (26, 4) = -1.834354272143444, (26, 5) = -1.7753996951781232, (26, 6) = -1.6821568759174257, (26, 7) = -1.554187750877139, (26, 8) = -1.391934669783015, (26, 9) = -1.1967807216313175, (26, 10) = -.9710778337717277, (26, 11) = -.7181400569989193, (26, 12) = -.4422008446558271, (26, 13) = -.14833460344969626, (26, 14) = .15765572413312012, (26, 15) = .46938185437259117, (26, 16) = .7800396227792875, (26, 17) = 1.082599048680241, (26, 18) = 1.3700084102152834, (26, 19) = 1.635405063900197, (26, 20) = 1.8723253606624393, (26, 21) = 2.0749059358308237, (26, 22) = 2.2380688889519953, (26, 23) = 2.357683912305565, (26, 24) = 2.430701253512237, (26, 25) = 2.4552504745897363, (26, 26) = 2.430701253512237, (26, 27) = 2.357683912305565, (26, 28) = 2.2380688889519953, (26, 29) = 2.0749059358308233, (26, 30) = 1.8723253606624393, (26, 31) = 1.635405063900197, (26, 32) = 1.3700084102152834, (26, 33) = 1.082599048680241, (26, 34) = .7800396227792875, (26, 35) = .46938185437259117, (26, 36) = .15765572413312012, (26, 37) = -.14833460344969626, (26, 38) = -.4422008446558271, (26, 39) = -.7181400569989193, (26, 40) = -.9710778337717277, (26, 41) = -1.1967807216313175, (26, 42) = -1.391934669783015, (26, 43) = -1.554187750877139, (26, 44) = -1.6821568759174257, (26, 45) = -1.7753996951781232, (26, 46) = -1.834354272143444, (26, 47) = -1.860250379214628, (26, 48) = -1.8549973398705475, (26, 49) = -1.8210541879485085, (27, 1) = -1.6676487342043456, (27, 2) = -1.7825139965054029, (27, 3) = -1.8700446008697693, (27, 4) = -1.9242233361313767, (27, 5) = -1.9396779604748362, (27, 6) = -1.9119607995947514, (27, 7) = -1.8378000659893767, (27, 8) = -1.715311110542755, (27, 9) = -1.544157382026721, (27, 10) = -1.3256528937815673, (27, 11) = -1.0628003944589701, (27, 12) = -.7602621097043614, (27, 13) = -.42426275027685534, (27, 14) = -0.6242734839052588e-1, (27, 15) = .3164407349621859, (27, 16) = .7026337129578955, (27, 17) = 1.0858550076414155, (27, 18) = 1.4555645922577147, (27, 19) = 1.8013406661228262, (27, 20) = 2.113243490047617, (27, 21) = 2.3821670033946636, (27, 22) = 2.60016423759353, (27, 23) = 2.760733520436783, (27, 24) = 2.859053990767218, (27, 25) = 2.892160950941706, (27, 26) = 2.859053990767218, (27, 27) = 2.760733520436783, (27, 28) = 2.60016423759353, (27, 29) = 2.382167003394663, (27, 30) = 2.113243490047617, (27, 31) = 1.8013406661228262, (27, 32) = 1.4555645922577147, (27, 33) = 1.0858550076414155, (27, 34) = .7026337129578955, (27, 35) = .3164407349621859, (27, 36) = -0.6242734839052588e-1, (27, 37) = -.42426275027685534, (27, 38) = -.7602621097043614, (27, 39) = -1.0628003944589701, (27, 40) = -1.3256528937815673, (27, 41) = -1.544157382026721, (27, 42) = -1.715311110542755, (27, 43) = -1.8378000659893767, (27, 44) = -1.9119607995947514, (27, 45) = -1.9396779604748362, (27, 46) = -1.9242233361313767, (27, 47) = -1.8700446008697693, (27, 48) = -1.7825139965054029, (27, 49) = -1.6676487342043456, (28, 1) = -1.5250696450670078, (28, 2) = -1.7136997163373204, (28, 3) = -1.8762306986917112, (28, 4) = -2.0034019130206104, (28, 5) = -2.086684483204694, (28, 6) = -2.118697446148515, (28, 7) = -2.0935859241436363, (28, 8) = -2.0073440848248456, (28, 9) = -1.8580678334081229, (28, 10) = -1.6461250693932965, (28, 11) = -1.3742347729662634, (28, 12) = -1.0474500185384712, (28, 13) = -.6730440802127877, (28, 14) = -.2603029219320897, (28, 15) = .17976862388624038, (28, 16) = .6348159641778556, (28, 17) = 1.0915648437696392, (28, 18) = 1.5362954604040313, (28, 19) = 1.955341652249026, (28, 20) = 2.3355950390332287, (28, 21) = 2.6649936702224437, (28, 22) = 2.932975269012367, (28, 23) = 3.130876538300169, (28, 24) = 3.2522621570479724, (28, 25) = 3.293169951713077, (28, 26) = 3.252262157047972, (28, 27) = 3.1308765383001687, (28, 28) = 2.932975269012367, (28, 29) = 2.6649936702224437, (28, 30) = 2.3355950390332287, (28, 31) = 1.955341652249026, (28, 32) = 1.5362954604040313, (28, 33) = 1.0915648437696392, (28, 34) = .6348159641778556, (28, 35) = .17976862388624038, (28, 36) = -.2603029219320897, (28, 37) = -.6730440802127877, (28, 38) = -1.0474500185384712, (28, 39) = -1.3742347729662634, (28, 40) = -1.6461250693932965, (28, 41) = -1.8580678334081229, (28, 42) = -2.0073440848248456, (28, 43) = -2.0935859241436363, (28, 44) = -2.118697446148515, (28, 45) = -2.086684483204694, (28, 46) = -2.0034019130206104, (28, 47) = -1.8762306986917112, (28, 48) = -1.7136997163373204, (28, 49) = -1.5250696450670078, (29, 1) = -1.398178800162678, (29, 2) = -1.6502263444931613, (29, 3) = -1.8772370498638133, (29, 4) = -2.0671617456905693, (29, 5) = -2.20875771745707, (29, 6) = -2.2921221794613986, (29, 7) = -2.3091795059733453, (29, 8) = -2.2541002297068595, (29, 9) = -2.123632599012632, (29, 10) = -1.9173311153782446, (29, 11) = -1.6376707960581438, (29, 12) = -1.290040738039255, (29, 13) = -.8826156918673944, (29, 14) = -.42610956652641396, (29, 15) = 0.6658014486894981e-1, (29, 16) = .5808233229454336, (29, 17) = 1.1007857280686493, (29, 18) = 1.6100138245099311, (29, 19) = 2.0920521910522325, (29, 20) = 2.5310682864959384, (29, 21) = 2.91245890695696, (29, 22) = 3.223413328955907, (29, 23) = 3.4534098517624505, (29, 24) = 3.5946251623216563, (29, 25) = 3.642239531816524, (29, 26) = 3.5946251623216563, (29, 27) = 3.4534098517624505, (29, 28) = 3.2234133289559064, (29, 29) = 2.91245890695696, (29, 30) = 2.5310682864959384, (29, 31) = 2.0920521910522325, (29, 32) = 1.6100138245099311, (29, 33) = 1.1007857280686493, (29, 34) = .5808233229454336, (29, 35) = 0.6658014486894981e-1, (29, 36) = -.42610956652641396, (29, 37) = -.8826156918673944, (29, 38) = -1.290040738039255, (29, 39) = -1.6376707960581438, (29, 40) = -1.9173311153782446, (29, 41) = -2.123632599012632, (29, 42) = -2.2541002297068595, (29, 43) = -2.3091795059733453, (29, 44) = -2.2921221794613986, (29, 45) = -2.20875771745707, (29, 46) = -2.0671617456905693, (29, 47) = -1.8772370498638133, (29, 48) = -1.6502263444931613, (29, 49) = -1.398178800162678, (30, 1) = -1.2912028262812913, (30, 2) = -1.593577954372585, (30, 3) = -1.8717592363112399, (30, 4) = -2.1114845776693825, (30, 5) = -2.2993575841536233, (30, 6) = -2.4234741724332887, (30, 7) = -2.4739963494575514, (30, 8) = -2.4436474263025554, (30, 9) = -2.3281061619417605, (30, 10) = -2.1262815519064735, (30, 11) = -1.840455006480151, (30, 12) = -1.476282287395201, (30, 13) = -1.0426535494701388, (30, 14) = -.5514159071003158, (30, 15) = -0.1696885332541953e-1, (30, 16) = .5442516535636244, (30, 17) = 1.1143797913703348, (30, 18) = 1.6747925560222625, (30, 19) = 2.206820993051074, (30, 20) = 2.692470689604481, (30, 21) = 3.1151217240918605, (30, 22) = 3.4601790242902988, (30, 23) = 3.7156460756727188, (30, 24) = 3.8725980661630617, (30, 25) = 3.9255347181489526, (30, 26) = 3.8725980661630617, (30, 27) = 3.7156460756727188, (30, 28) = 3.4601790242902988, (30, 29) = 3.1151217240918605, (30, 30) = 2.692470689604481, (30, 31) = 2.206820993051074, (30, 32) = 1.6747925560222625, (30, 33) = 1.1143797913703348, (30, 34) = .5442516535636244, (30, 35) = -0.1696885332541953e-1, (30, 36) = -.5514159071003158, (30, 37) = -1.0426535494701388, (30, 38) = -1.476282287395201, (30, 39) = -1.840455006480151, (30, 40) = -2.1262815519064735, (30, 41) = -2.3281061619417605, (30, 42) = -2.4436474263025554, (30, 43) = -2.4739963494575514, (30, 44) = -2.4234741724332887, (30, 45) = -2.2993575841536233, (30, 46) = -2.1114845776693825, (30, 47) = -1.8717592363112399, (30, 48) = -1.593577954372585, (30, 49) = -1.2912028262812913, (31, 1) = -1.207563981829919, (31, 2) = -1.5450003366237426, (31, 3) = -1.8588301248383332, (31, 4) = -2.1332495959843625, (31, 5) = -2.35336197269291, (31, 6) = -2.5058689471421243, (31, 7) = -2.5797047550363876, (31, 8) = -2.566584485674836, (31, 9) = -2.4614418273021355, (31, 10) = -2.26273607711362, (31, 11) = -1.9726137671134043, (31, 12) = -1.5969164337601274, (31, 13) = -1.1450326255863394, (31, 14) = -.6295989161440644, (31, 15) = -0.6606118210479905e-1, (31, 16) = .5278865620624037, (31, 17) = 1.132963171360888, (31, 18) = 1.729034259375931, (31, 19) = 2.2958887910277834, (31, 20) = 2.8140262634345543, (31, 21) = 3.2654217879593204, (31, 22) = 3.6342372075509695, (31, 23) = 3.9074485635452767, (31, 24) = 4.075363673291116, (31, 25) = 4.132008147887357, (31, 26) = 4.075363673291116, (31, 27) = 3.907448563545276, (31, 28) = 3.634237207550969, (31, 29) = 3.26542178795932, (31, 30) = 2.8140262634345543, (31, 31) = 2.2958887910277834, (31, 32) = 1.729034259375931, (31, 33) = 1.132963171360888, (31, 34) = .5278865620624037, (31, 35) = -0.6606118210479905e-1, (31, 36) = -.6295989161440644, (31, 37) = -1.1450326255863394, (31, 38) = -1.5969164337601274, (31, 39) = -1.9726137671134043, (31, 40) = -2.26273607711362, (31, 41) = -2.4614418273021355, (31, 42) = -2.566584485674836, (31, 43) = -2.5797047550363876, (31, 44) = -2.5058689471421243, (31, 45) = -2.35336197269291, (31, 46) = -2.1332495959843625, (31, 47) = -1.8588301248383332, (31, 48) = -1.5450003366237426, (31, 49) = -1.207563981829919, (32, 1) = -1.149745210491146, (32, 2) = -1.5054601763727011, (32, 3) = -1.8378747445097054, (32, 4) = -2.1303814466245896, (32, 5) = -2.367301304572832, (32, 6) = -2.534609153841017, (32, 7) = -2.6205991511859574, (32, 8) = -2.6164607655710115, (32, 9) = -2.516739254505094, (32, 10) = -2.31965947213168, (32, 11) = -2.0272976338161315, (32, 12) = -1.645592126706296, (32, 13) = -1.1841913289449304, (32, 14) = -.656143386018403, (32, 15) = -0.7743969000805939e-1, (32, 16) = .5335698771027257, (32, 17) = 1.1568663143589895, (32, 18) = 1.771527300278201, (32, 19) = 2.3565378606600222, (32, 20) = 2.8916123166175196, (32, 21) = 3.3579933223625034, (32, 22) = 3.7391946584039335, (32, 23) = 4.021656724471072, (32, 24) = 4.195287281508012, (32, 25) = 4.253864770258376, (32, 26) = 4.195287281508012, (32, 27) = 4.021656724471072, (32, 28) = 3.7391946584039335, (32, 29) = 3.357993322362503, (32, 30) = 2.8916123166175196, (32, 31) = 2.3565378606600222, (32, 32) = 1.771527300278201, (32, 33) = 1.1568663143589895, (32, 34) = .5335698771027257, (32, 35) = -0.7743969000805939e-1, (32, 36) = -.656143386018403, (32, 37) = -1.1841913289449304, (32, 38) = -1.645592126706296, (32, 39) = -2.0272976338161315, (32, 40) = -2.31965947213168, (32, 41) = -2.516739254505094, (32, 42) = -2.6164607655710115, (32, 43) = -2.6205991511859574, (32, 44) = -2.534609153841017, (32, 45) = -2.367301304572832, (32, 46) = -2.1303814466245896, (32, 47) = -1.8378747445097054, (32, 48) = -1.5054601763727011, (32, 49) = -1.149745210491146, (33, 1) = -1.1191950584757708, (33, 2) = -1.4756155426259612, (33, 3) = -1.8087474465436164, (33, 4) = -2.101952280032723, (33, 5) = -2.3395208735444846, (33, 6) = -2.507400007333493, (33, 7) = -2.593859132374009, (33, 8) = -2.590067429723079, (33, 9) = -2.4905551642307744, (33, 10) = -2.2935381410020383, (33, 11) = -2.0010898613189254, (33, 12) = -1.6191524505745065, (33, 13) = -1.1573843158210562, (33, 14) = -.6288494884083252, (33, 15) = -0.4956041623451535e-1, (33, 16) = .5621077035269687, (33, 17) = 1.1861073901392096, (33, 18) = 1.8014859093830542, (33, 19) = 2.387197256596729, (33, 20) = 2.9229254466510497, (33, 21) = 3.3898848623591538, (33, 22) = 3.7715642703004226, (33, 23) = 4.054383395496556, (33, 24) = 4.228234557504954, (33, 25) = 4.286886656781945, (33, 26) = 4.228234557504954, (33, 27) = 4.054383395496556, (33, 28) = 3.771564270300422, (33, 29) = 3.3898848623591533, (33, 30) = 2.9229254466510497, (33, 31) = 2.387197256596729, (33, 32) = 1.8014859093830542, (33, 33) = 1.1861073901392096, (33, 34) = .5621077035269687, (33, 35) = -0.4956041623451535e-1, (33, 36) = -.6288494884083252, (33, 37) = -1.1573843158210562, (33, 38) = -1.6191524505745065, (33, 39) = -2.0010898613189254, (33, 40) = -2.2935381410020383, (33, 41) = -2.4905551642307744, (33, 42) = -2.590067429723079, (33, 43) = -2.593859132374009, (33, 44) = -2.507400007333493, (33, 45) = -2.3395208735444846, (33, 46) = -2.101952280032723, (33, 47) = -1.8087474465436164, (33, 48) = -1.4756155426259612, (33, 49) = -1.1191950584757708, (34, 1) = -1.1162764340350213, (34, 2) = -1.455798832776683, (34, 3) = -1.7717496064147822, (34, 4) = -2.0482332802792036, (34, 5) = -2.270263808446316, (34, 6) = -2.4244599306754484, (34, 7) = -2.4996828337501267, (34, 8) = -2.4875876206217784, (34, 9) = -2.383063649931385, (34, 10) = -2.1845434630935965, (34, 11) = -1.8941655672359112, (34, 12) = -1.517782551888402, (34, 13) = -1.0648126186017417, (34, 14) = -.5479393115177124, (34, 15) = 0.17329235821921474e-1, (34, 16) = .6132241581592663, (34, 17) = 1.22038010278906, (34, 18) = 1.8185727603165671, (34, 19) = 2.387499346221729, (34, 20) = 2.907569749520298, (34, 21) = 3.3606754900048452, (34, 22) = 3.7309044505884486, (34, 23) = 4.005171542583047, (34, 24) = 4.173738926955966, (34, 25) = 4.230604006523665, (34, 26) = 4.1737389269559655, (34, 27) = 4.005171542583047, (34, 28) = 3.730904450588448, (34, 29) = 3.3606754900048452, (34, 30) = 2.907569749520298, (34, 31) = 2.387499346221729, (34, 32) = 1.8185727603165671, (34, 33) = 1.22038010278906, (34, 34) = .6132241581592663, (34, 35) = 0.17329235821921474e-1, (34, 36) = -.5479393115177124, (34, 37) = -1.0648126186017417, (34, 38) = -1.517782551888402, (34, 39) = -1.8941655672359112, (34, 40) = -2.1845434630935965, (34, 41) = -2.383063649931385, (34, 42) = -2.4875876206217784, (34, 43) = -2.4996828337501267, (34, 44) = -2.4244599306754484, (34, 45) = -2.270263808446316, (34, 46) = -2.0482332802792036, (34, 47) = -1.7717496064147822, (34, 48) = -1.455798832776683, (34, 49) = -1.1162764340350213, (35, 1) = -1.1402613015568446, (35, 2) = -1.4460127861741943, (35, 3) = -1.727626978998429, (35, 4) = -1.9706933258644226, (35, 5) = -2.1616709472834543, (35, 6) = -2.288521497681276, (35, 7) = -2.3412887510230855, (35, 8) = -2.312598927766795, (35, 9) = -2.198059037416318, (35, 10) = -1.99653477006119, (35, 11) = -1.710294547358926, (35, 12) = -1.3450120209382181, (35, 13) = -.9096253403692538, (35, 14) = -.4160576440723941, (35, 15) = .12119080935093263, (35, 16) = .6855629122209557, (35, 17) = 1.2590565483542953, (35, 18) = 1.8229031692662088, (35, 19) = 2.358285319867428, (35, 20) = 2.8470635525371044, (35, 21) = 3.2724826489451146, (35, 22) = 3.619827829203787, (35, 23) = 3.8770036370762457, (35, 24) = 4.03501136356688, (35, 25) = 4.088305074681766, (35, 26) = 4.03501136356688, (35, 27) = 3.8770036370762457, (35, 28) = 3.6198278292037864, (35, 29) = 3.272482648945114, (35, 30) = 2.8470635525371044, (35, 31) = 2.358285319867428, (35, 32) = 1.8229031692662088, (35, 33) = 1.2590565483542953, (35, 34) = .6855629122209557, (35, 35) = .12119080935093263, (35, 36) = -.4160576440723941, (35, 37) = -.9096253403692538, (35, 38) = -1.3450120209382181, (35, 39) = -1.710294547358926, (35, 40) = -1.99653477006119, (35, 41) = -2.198059037416318, (35, 42) = -2.312598927766795, (35, 43) = -2.3412887510230855, (35, 44) = -2.288521497681276, (35, 45) = -2.1616709472834543, (35, 46) = -1.9706933258644226, (35, 47) = -1.727626978998429, (35, 48) = -1.4460127861741943, (35, 49) = -1.1402613015568446, (36, 1) = -1.1893714270856646, (36, 2) = -1.4459396265342046, (36, 3) = -1.677546708515255, (36, 4) = -1.871944727443989, (36, 5) = -2.017697515377932, (36, 6) = -2.1047225208546805, (36, 7) = -2.124785814203074, (36, 8) = -2.071927932031249, (36, 9) = -1.942801056233579, (36, 10) = -1.7369017059828415, (36, 11) = -1.4566875078646118, (36, 12) = -1.1075715119201115, (36, 13) = -.6977927295983282, (36, 14) = -.23816685960676953, (36, 15) = .2582736883962413, (36, 16) = .7767365862776425, (36, 17) = 1.3012051083105138, (36, 18) = 1.8150308471383685, (36, 19) = 2.3015595518036145, (36, 20) = 2.7447644918485614, (36, 21) = 3.129861312526305, (36, 22) = 3.443879011943966, (36, 23) = 3.6761634148107447, (36, 24) = 3.818792266361905, (36, 25) = 3.8668847077566104, (36, 26) = 3.8187922663619047, (36, 27) = 3.6761634148107447, (36, 28) = 3.443879011943966, (36, 29) = 3.1298613125263044, (36, 30) = 2.7447644918485614, (36, 31) = 2.3015595518036145, (36, 32) = 1.8150308471383685, (36, 33) = 1.3012051083105138, (36, 34) = .7767365862776425, (36, 35) = .2582736883962413, (36, 36) = -.23816685960676953, (36, 37) = -.6977927295983282, (36, 38) = -1.1075715119201115, (36, 39) = -1.4566875078646118, (36, 40) = -1.7369017059828415, (36, 41) = -1.942801056233579, (36, 42) = -2.071927932031249, (36, 43) = -2.124785814203074, (36, 44) = -2.1047225208546805, (36, 45) = -2.017697515377932, (36, 46) = -1.871944727443989, (36, 47) = -1.677546708515255, (36, 48) = -1.4459396265342046, (36, 49) = -1.1893714270856646, (37, 1) = -1.260863312787874, (37, 2) = -1.4549628374207524, (37, 3) = -1.6230548871095982, (37, 4) = -1.7556382887084871, (37, 5) = -1.8439501105321776, (37, 6) = -1.8803918943617317, (37, 7) = -1.8589172336063866, (37, 8) = -1.7753630161218956, (37, 9) = -1.627708918173165, (37, 10) = -1.4162526875766082, (37, 11) = -1.1436922638835552, (37, 12) = -.8151097018434685, (37, 13) = -.437856023585498, (37, 14) = -0.21340346474266858e-1, (37, 15) = .4232692641511282, (37, 16) = .8834219619790672, (37, 17) = 1.3456227054357117, (37, 18) = 1.795915920842718, (37, 19) = 2.2203948861031186, (37, 20) = 2.605716275110719, (37, 21) = 2.9395989663992594, (37, 22) = 3.2112867654059047, (37, 23) = 3.411956096614337, (37, 24) = 3.535051931321922, (37, 25) = 3.5765381359501474, (37, 26) = 3.535051931321922, (37, 27) = 3.411956096614337, (37, 28) = 3.2112867654059047, (37, 29) = 2.9395989663992594, (37, 30) = 2.605716275110719, (37, 31) = 2.2203948861031186, (37, 32) = 1.795915920842718, (37, 33) = 1.3456227054357117, (37, 34) = .8834219619790672, (37, 35) = .4232692641511282, (37, 36) = -0.21340346474266858e-1, (37, 37) = -.437856023585498, (37, 38) = -.8151097018434685, (37, 39) = -1.1436922638835552, (37, 40) = -1.4162526875766082, (37, 41) = -1.627708918173165, (37, 42) = -1.7753630161218956, (37, 43) = -1.8589172336063866, (37, 44) = -1.8803918943617317, (37, 45) = -1.8439501105321776, (37, 46) = -1.7556382887084871, (37, 47) = -1.6230548871095982, (37, 48) = -1.4549628374207524, (37, 49) = -1.260863312787874, (38, 1) = -1.3511535602013733, (38, 2) = -1.47220054201293, (38, 3) = -1.5660164103994536, (38, 4) = -1.6263121415331447, (38, 5) = -1.6474509578648848, (38, 6) = -1.624739366401521, (38, 7) = -1.5546891086797312, (38, 8) = -1.4352377738559752, (38, 9) = -1.265917445695952, (38, 10) = -1.047962850269121, (38, 11) = -.7843529555506283, (38, 12) = -.4797827415233238, (38, 13) = -.1405647918029134, (38, 14) = .22553667017219037, (38, 15) = .6095337932841118, (38, 16) = 1.0014969801468299, (38, 17) = 1.3908801142296323, (38, 18) = 1.7668766937396256, (38, 19) = 2.1187930304778044, (38, 20) = 2.436423843316086, (38, 21) = 2.7104153588865296, (38, 22) = 2.932601437686637, (38, 23) = 3.0962992566461587, (38, 24) = 3.1965526578683914, (38, 25) = 3.230313352139702, (38, 26) = 3.196552657868391, (38, 27) = 3.0962992566461587, (38, 28) = 2.932601437686637, (38, 29) = 2.7104153588865296, (38, 30) = 2.436423843316086, (38, 31) = 2.1187930304778044, (38, 32) = 1.7668766937396256, (38, 33) = 1.3908801142296323, (38, 34) = 1.0014969801468299, (38, 35) = .6095337932841118, (38, 36) = .22553667017219037, (38, 37) = -.1405647918029134, (38, 38) = -.4797827415233238, (38, 39) = -.7843529555506283, (38, 40) = -1.047962850269121, (38, 41) = -1.265917445695952, (38, 42) = -1.4352377738559752, (38, 43) = -1.5546891086797312, (38, 44) = -1.624739366401521, (38, 45) = -1.6474509578648848, (38, 46) = -1.6263121415331447, (38, 47) = -1.5660164103994536, (38, 48) = -1.47220054201293, (38, 49) = -1.3511535602013733, (39, 1) = -1.4559791679795737, (39, 2) = -1.49654897078647, (39, 3) = -1.5085396581786785, (39, 4) = -1.4892008198479423, (39, 5) = -1.436339556531819, (39, 6) = -1.3484625842572546, (39, 7) = -1.2248997880070207, (39, 8) = -1.0659029613181936, (39, 9) = -.8727143731396918, (39, 10) = -.6476009568219481, (39, 11) = -.3938512708607862, (39, 12) = -.11573388044118818, (39, 13) = .18158261019412544, (39, 14) = .49214604899852277, (39, 15) = .8093703833867115, (39, 16) = 1.1262136734155763, (39, 17) = 1.4353784392123716, (39, 18) = 1.7295273042471495, (39, 19) = 2.0015061683238415, (39, 20) = 2.2445667279591515, (39, 21) = 2.4525800765429415, (39, 22) = 2.6202333677870575, (39, 23) = 2.743202104713035, (39, 24) = 2.818291500173017, (39, 25) = 2.84354150808237, (39, 26) = 2.8182915001730167, (39, 27) = 2.743202104713035, (39, 28) = 2.6202333677870575, (39, 29) = 2.452580076542941, (39, 30) = 2.2445667279591515, (39, 31) = 2.0015061683238415, (39, 32) = 1.7295273042471495, (39, 33) = 1.4353784392123716, (39, 34) = 1.1262136734155763, (39, 35) = .8093703833867115, (39, 36) = .49214604899852277, (39, 37) = .18158261019412544, (39, 38) = -.11573388044118818, (39, 39) = -.3938512708607862, (39, 40) = -.6476009568219481, (39, 41) = -.8727143731396918, (39, 42) = -1.0659029613181936, (39, 43) = -1.2248997880070207, (39, 44) = -1.3484625842572546, (39, 45) = -1.436339556531819, (39, 46) = -1.4892008198479423, (39, 47) = -1.5085396581786785, (39, 48) = -1.49654897078647, (39, 49) = -1.4559791679795737, (40, 1) = -1.570585774108097, (40, 2) = -1.52673407952379, (40, 3) = -1.452889199749233, (40, 4) = -1.3500127712415166, (40, 5) = -1.2195245631417158, (40, 6) = -1.0632883479837614, (40, 7) = -.8835902760237003, (40, 8) = -.6831097681272154, (40, 9) = -.4648830974040223, (40, 10) = -.23225999465540503, (40, 11) = 0.11146217563523242e-1, (40, 12) = .26151428815347555, (40, 13) = .5148756605479364, (40, 14) = .7671790666796318, (40, 15) = 1.0143579685767343, (40, 16) = 1.2523996125610803, (40, 17) = 1.4774143764226488, (40, 18) = 1.6857040364069458, (40, 19) = 1.8738275613276725, (40, 20) = 2.0386630574841607, (40, 21) = 2.1774645410270845, (40, 22) = 2.2879123034575404, (40, 23) = 2.368155759314187, (40, 24) = 2.4168478198640195, (40, 25) = 2.4331700187299945, (40, 26) = 2.4168478198640195, (40, 27) = 2.368155759314187, (40, 28) = 2.2879123034575404, (40, 29) = 2.1774645410270845, (40, 30) = 2.0386630574841607, (40, 31) = 1.8738275613276725, (40, 32) = 1.6857040364069458, (40, 33) = 1.4774143764226488, (40, 34) = 1.2523996125610803, (40, 35) = 1.0143579685767343, (40, 36) = .7671790666796318, (40, 37) = .5148756605479364, (40, 38) = .26151428815347555, (40, 39) = 0.11146217563523242e-1, (40, 40) = -.23225999465540503, (40, 41) = -.4648830974040223, (40, 42) = -.6831097681272154, (40, 43) = -.8835902760237003, (40, 44) = -1.0632883479837614, (40, 45) = -1.2195245631417158, (40, 46) = -1.3500127712415166, (40, 47) = -1.452889199749233, (40, 48) = -1.52673407952379, (40, 49) = -1.570585774108097, (41, 1) = -1.6899356597572555, (41, 2) = -1.5613690432689256, (41, 3) = -1.4013902569205, (41, 4) = -1.2146858859267677, (41, 5) = -1.00630092441446, (41, 6) = -.7814678695742014, (41, 7) = -.5454394120515371, (41, 8) = -.30333103776560466, (41, 9) = -0.5997925942235882e-1, (41, 10) = .18017963123780334, (41, 11) = .4132064188152904, (41, 12) = .635728721029863, (41, 13) = .8449822000070729, (41, 14) = 1.0388230785775356, (41, 15) = 1.2157130904811502, (41, 16) = 1.3746791968730365, (41, 17) = 1.5152514779256123, (41, 18) = 1.6373835112939326, (41, 19) = 1.7413602403468436, (41, 20) = 1.8276987855094717, (41, 21) = 1.8970478437465674, (41, 22) = 1.9500912476228174, (41, 23) = 1.9874609217891985, (41, 24) = 2.0096638979885726, (41, 25) = 2.017027257349734, (41, 26) = 2.0096638979885726, (41, 27) = 1.9874609217891985, (41, 28) = 1.9500912476228174, (41, 29) = 1.8970478437465672, (41, 30) = 1.8276987855094717, (41, 31) = 1.7413602403468436, (41, 32) = 1.6373835112939326, (41, 33) = 1.5152514779256123, (41, 34) = 1.3746791968730365, (41, 35) = 1.2157130904811502, (41, 36) = 1.0388230785775356, (41, 37) = .8449822000070729, (41, 38) = .635728721029863, (41, 39) = .4132064188152904, (41, 40) = .18017963123780334, (41, 41) = -0.5997925942235882e-1, (41, 42) = -.30333103776560466, (41, 43) = -.5454394120515371, (41, 44) = -.7814678695742014, (41, 45) = -1.00630092441446, (41, 46) = -1.2146858859267677, (41, 47) = -1.4013902569205, (41, 48) = -1.5613690432689256, (41, 49) = -1.6899356597572555, (42, 1) = -1.8089264934498732, (42, 2) = -1.5990151138611548, (42, 3) = -1.356329030289456, (42, 4) = -1.0891315894863287, (42, 5) = -.8059487905893791, (42, 6) = -.5152478396574001, (42, 7) = -.22512995177281092, (42, 8) = 0.5695023448811942e-1, (42, 9) = .32442758458766674, (42, 10) = .5718224717955666, (42, 11) = .7948827526514525, (42, 12) = .9906670566369786, (42, 13) = 1.1575673579184291, (42, 14) = 1.2952714857508547, (42, 15) = 1.4046688649918628, (42, 16) = 1.4877052446257872, (42, 17) = 1.5471943634051537, (42, 18) = 1.586596323147147, (42, 19) = 1.6097738137461866, (42, 20) = 1.6207382012139924, (42, 21) = 1.6233978149438886, (42, 22) = 1.6213205406377051, (42, 23) = 1.617522052968753, (42, 24) = 1.6142897428831975, (42, 25) = 1.613050666442092, (42, 26) = 1.6142897428831975, (42, 27) = 1.617522052968753, (42, 28) = 1.6213205406377054, (42, 29) = 1.6233978149438884, (42, 30) = 1.6207382012139924, (42, 31) = 1.6097738137461866, (42, 32) = 1.586596323147147, (42, 33) = 1.5471943634051537, (42, 34) = 1.4877052446257872, (42, 35) = 1.4046688649918628, (42, 36) = 1.2952714857508547, (42, 37) = 1.1575673579184291, (42, 38) = .9906670566369786, (42, 39) = .7948827526514525, (42, 40) = .5718224717955666, (42, 41) = .32442758458766674, (42, 42) = 0.5695023448811942e-1, (42, 43) = -.22512995177281092, (42, 44) = -.5152478396574001, (42, 45) = -.8059487905893791, (42, 46) = -1.0891315894863287, (42, 47) = -1.356329030289456, (42, 48) = -1.5990151138611548, (42, 49) = -1.8089264934498732, (43, 1) = -1.9226113461584076, (43, 2) = -1.6382431996300066, (43, 3) = -1.3198531897223928, (43, 4) = -.9789785567973663, (43, 5) = -.6273315454118076, (43, 6) = -.276340166415566, (43, 7) = 0.6328704397313811e-1, (43, 8) = .38195436596284704, (43, 9) = .6715144169650775, (43, 10) = .9255325812961327, (43, 11) = 1.139470285112151, (43, 12) = 1.3107806730556961, (43, 13) = 1.438914118787314, (43, 14) = 1.5252349638226064, (43, 15) = 1.5728547555611039, (43, 16) = 1.5863908778516724, (43, 17) = 1.5716626790557424, (43, 18) = 1.5353398646866312, (43, 19) = 1.484559919832337, (43, 20) = 1.4265325753329319, (43, 21) = 1.368149778491401, (43, 22) = 1.3156192563968903, (43, 23) = 1.2741385859508405, (43, 24) = 1.247624762578143, (43, 25) = 1.2385116751591885, (43, 26) = 1.2476247625781431, (43, 27) = 1.2741385859508407, (43, 28) = 1.3156192563968903, (43, 29) = 1.3681497784914005, (43, 30) = 1.4265325753329319, (43, 31) = 1.484559919832337, (43, 32) = 1.5353398646866312, (43, 33) = 1.5716626790557424, (43, 34) = 1.5863908778516724, (43, 35) = 1.5728547555611039, (43, 36) = 1.5252349638226064, (43, 37) = 1.438914118787314, (43, 38) = 1.3107806730556961, (43, 39) = 1.139470285112151, (43, 40) = .9255325812961327, (43, 41) = .6715144169650775, (43, 42) = .38195436596284704, (43, 43) = 0.6328704397313811e-1, (43, 44) = -.276340166415566, (43, 45) = -.6273315454118076, (43, 46) = -.9789785567973663, (43, 47) = -1.3198531897223928, (43, 48) = -1.6382431996300066, (43, 49) = -1.9226113461584076, (44, 1) = -2.0264104694967053, (44, 2) = -1.6776935111177718, (44, 3) = -1.2938768393718494, (44, 4) = -.889327137431694, (44, 5) = -.4785103432446156, (44, 6) = -0.7541332534737033e-1, (44, 7) = .30700201847245023, (44, 8) = .6572895518939597, (44, 9) = .9659344439918223, (44, 10) = 1.2256767356379554, (44, 11) = 1.4317303072567489, (44, 12) = 1.5818892608396404, (44, 13) = 1.6765186854279035, (44, 14) = 1.7184318381488897, (44, 15) = 1.7126607224095043, (44, 16) = 1.6661316663802275, (44, 17) = 1.587261598403047, (44, 18) = 1.4854941046316323, (44, 19) = 1.3707968921528946, (44, 20) = 1.2531438593235509, (44, 21) = 1.142005527233681, (44, 22) = 1.045871089973079, (44, 23) = .9718238202868934, (44, 24) = .9251890894441788, (44, 25) = .9092709355181989, (44, 26) = .925189089444179, (44, 27) = .9718238202868936, (44, 28) = 1.0458710899730792, (44, 29) = 1.1420055272336809, (44, 30) = 1.2531438593235509, (44, 31) = 1.3707968921528946, (44, 32) = 1.4854941046316323, (44, 33) = 1.587261598403047, (44, 34) = 1.6661316663802275, (44, 35) = 1.7126607224095043, (44, 36) = 1.7184318381488897, (44, 37) = 1.6765186854279035, (44, 38) = 1.5818892608396404, (44, 39) = 1.4317303072567489, (44, 40) = 1.2256767356379554, (44, 41) = .9659344439918223, (44, 42) = .6572895518939597, (44, 43) = .30700201847245023, (44, 44) = -0.7541332534737033e-1, (44, 45) = -.4785103432446156, (44, 46) = -.889327137431694, (44, 47) = -1.2938768393718494, (44, 48) = -1.6776935111177718, (44, 49) = -2.0264104694967053, (45, 1) = -2.1163057018239053, (45, 2) = -1.7161307167710236, (45, 3) = -1.2799940904953546, (45, 4) = -.8245251360372702, (45, 5) = -.3663918464226683, (45, 6) = 0.7837265964295059e-1, (45, 7) = .49500453129146016, (45, 8) = .8705779035109396, (45, 9) = 1.1944844334529976, (45, 10) = 1.458804156874383, (45, 11) = 1.6585529984874685, (45, 12) = 1.7917977147717614, (45, 13) = 1.8596348682348975, (45, 14) = 1.8660363751317792, (45, 15) = 1.8175699762607527, (45, 16) = 1.723008400915698, (45, 17) = 1.5928457927916653, (45, 18) = 1.438743936325661, (45, 19) = 1.2729337915680152, (45, 20) = 1.1075996878331, (45, 21) = .9542741628186271, (45, 22) = .823270838857878, (45, 23) = .7231809293126814, (45, 24) = .6604560460099476, (45, 25) = .6390960620988253, (45, 26) = .6604560460099478, (45, 27) = .7231809293126816, (45, 28) = .8232708388578782, (45, 29) = .9542741628186269, (45, 30) = 1.1075996878331, (45, 31) = 1.2729337915680152, (45, 32) = 1.438743936325661, (45, 33) = 1.5928457927916653, (45, 34) = 1.723008400915698, (45, 35) = 1.8175699762607527, (45, 36) = 1.8660363751317792, (45, 37) = 1.8596348682348975, (45, 38) = 1.7917977147717614, (45, 39) = 1.6585529984874685, (45, 40) = 1.458804156874383, (45, 41) = 1.1944844334529976, (45, 42) = .8705779035109396, (45, 43) = .49500453129146016, (45, 44) = 0.7837265964295059e-1, (45, 45) = -.3663918464226683, (45, 46) = -.8245251360372702, (45, 47) = -1.2799940904953546, (45, 48) = -1.7161307167710236, (45, 49) = -2.1163057018239053, (46, 1) = -2.189009134536956, (46, 2) = -1.7524922629039221, (46, 3) = -1.279405019274685, (46, 4) = -.7879746838744595, (46, 5) = -.29642443637507476, (46, 6) = .177767454045753, (46, 7) = .6185645192294897, (46, 8) = 1.011995845690053, (46, 9) = 1.3466808051097012, (46, 10) = 1.6142333090544958, (46, 11) = 1.80952947734146, (46, 12) = 1.9308286268555712, (46, 13) = 1.979743918339359, (46, 14) = 1.9610655632937788, (46, 15) = 1.882445906760753, (46, 16) = 1.753961686457051, (46, 17) = 1.5875740655039012, (46, 18) = 1.3965114160144398, (46, 19) = 1.1946031052810764, (46, 20) = .9955945646725888, (46, 21) = .8124746173007362, (46, 22) = .6568453757224644, (46, 23) = .5383630262572372, (46, 24) = .46427458058036675, (46, 25) = .4390713407013931, (46, 26) = .46427458058036697, (46, 27) = .5383630262572374, (46, 28) = .6568453757224646, (46, 29) = .812474617300736, (46, 30) = .9955945646725888, (46, 31) = 1.1946031052810764, (46, 32) = 1.3965114160144398, (46, 33) = 1.5875740655039012, (46, 34) = 1.753961686457051, (46, 35) = 1.882445906760753, (46, 36) = 1.9610655632937788, (46, 37) = 1.979743918339359, (46, 38) = 1.9308286268555712, (46, 39) = 1.80952947734146, (46, 40) = 1.6142333090544958, (46, 41) = 1.3466808051097012, (46, 42) = 1.011995845690053, (46, 43) = .6185645192294897, (46, 44) = .177767454045753, (46, 45) = -.29642443637507476, (46, 46) = -.7879746838744595, (46, 47) = -1.279405019274685, (46, 48) = -1.7524922629039221, (46, 49) = -2.189009134536956, (47, 1) = -2.242098799729014, (47, 2) = -1.7859278236104785, (47, 3) = -1.2928572669886944, (47, 4) = -.7819786088680469, (47, 5) = -.27235609149883566, (47, 6) = .2177504621736288, (47, 7) = .6716163381249693, (47, 8) = 1.07470544880038, (47, 9) = 1.415219505140326, (47, 10) = 1.6845203334613372, (47, 11) = 1.8774084455072368, (47, 12) = 1.9922472970144771, (47, 13) = 2.030929430910748, (47, 14) = 1.9986876020479247, (47, 15) = 1.9037607217454307, (47, 16) = 1.75693075026639, (47, 17) = 1.5709522314779876, (47, 18) = 1.3599007658782816, (47, 19) = 1.1384701575267966, (47, 20) = .9212500994907828, (47, 21) = .7220169905524383, (47, 22) = .5530697733969032, (47, 23) = .4246405837990279, (47, 24) = .3444065946942947, (47, 25) = .31712487839417847, (47, 26) = .3444065946942949, (47, 27) = .42464058379902814, (47, 28) = .5530697733969034, (47, 29) = .7220169905524381, (47, 30) = .9212500994907828, (47, 31) = 1.1384701575267966, (47, 32) = 1.3599007658782816, (47, 33) = 1.5709522314779876, (47, 34) = 1.75693075026639, (47, 35) = 1.9037607217454307, (47, 36) = 1.9986876020479247, (47, 37) = 2.030929430910748, (47, 38) = 1.9922472970144771, (47, 39) = 1.8774084455072368, (47, 40) = 1.6845203334613372, (47, 41) = 1.415219505140326, (47, 42) = 1.07470544880038, (47, 43) = .6716163381249693, (47, 44) = .2177504621736288, (47, 45) = -.27235609149883566, (47, 46) = -.7819786088680469, (47, 47) = -1.2928572669886944, (47, 48) = -1.7859278236104785, (47, 49) = -2.242098799729014, (48, 1) = -2.274115581742282, (48, 2) = -1.8158282450539598, (48, 3) = -1.32060587857982, (48, 4) = -.8076330185389403, (48, 5) = -.2960644730824531, (48, 6) = .19575577687223267, (48, 7) = .65102890675483, (48, 8) = 1.0551579708770584, (48, 9) = 1.396299706330478, (48, 10) = 1.665788794807313, (48, 11) = 1.8584176065486795, (48, 12) = 1.9725608109975206, (48, 13) = 2.010141035049026, (48, 14) = 1.9764386867716794, (48, 15) = 1.8797558391386031, (48, 16) = 1.7309503910134887, (48, 17) = 1.5428623177686203, (48, 18) = 1.3296584497389972, (48, 19) = 1.106125673825459, (48, 20) = .8869445934784044, (48, 21) = .6859764138926499, (48, 22) = .5155951126554974, (48, 23) = .38609484397252647, (48, 24) = .30519910068813916, (48, 25) = .2776935733491541, (48, 26) = .3051991006881394, (48, 27) = .3860948439725267, (48, 28) = .5155951126554976, (48, 29) = .6859764138926496, (48, 30) = .8869445934784044, (48, 31) = 1.106125673825459, (48, 32) = 1.3296584497389972, (48, 33) = 1.5428623177686203, (48, 34) = 1.7309503910134887, (48, 35) = 1.8797558391386031, (48, 36) = 1.9764386867716794, (48, 37) = 2.010141035049026, (48, 38) = 1.9725608109975206, (48, 39) = 1.8584176065486795, (48, 40) = 1.665788794807313, (48, 41) = 1.396299706330478, (48, 42) = 1.0551579708770584, (48, 43) = .65102890675483, (48, 44) = .19575577687223267, (48, 45) = -.2960644730824531, (48, 46) = -.8076330185389403, (48, 47) = -1.32060587857982, (48, 48) = -1.8158282450539598, (48, 49) = -2.274115581742282, (49, 1) = -2.2846172464486783, (49, 2) = -1.8418428172805483, (49, 3) = -1.362393201308937, (49, 4) = -.8647708260488476, (49, 5) = -.3674666522597332, (49, 6) = .11179221646184878, (49, 7) = .5567501853058814, (49, 8) = .9532563982579931, (49, 9) = 1.289797250393757, (49, 10) = 1.5579063933033157, (49, 11) = 1.7524358743831714, (49, 12) = 1.8716781666895843, (49, 13) = 1.9173353818556838, (49, 14) = 1.8943386302202319, (49, 15) = 1.8105270102960274, (49, 16) = 1.676201791559203, (49, 17) = 1.5035767370735966, (49, 18) = 1.3061499631356985, (49, 19) = 1.0980260600993237, (49, 20) = .8932192589703322, (49, 21) = .7049691345584115, (49, 22) = .5450996591660169, (49, 23) = .4234503923544224, (49, 24) = .34740530237393363, (49, 25) = .32154030831530567, (49, 26) = .34740530237393363, (49, 27) = .4234503923544226, (49, 28) = .5450996591660171, (49, 29) = .7049691345584113, (49, 30) = .8932192589703322, (49, 31) = 1.0980260600993237, (49, 32) = 1.3061499631356985, (49, 33) = 1.5035767370735966, (49, 34) = 1.676201791559203, (49, 35) = 1.8105270102960274, (49, 36) = 1.8943386302202319, (49, 37) = 1.9173353818556838, (49, 38) = 1.8716781666895843, (49, 39) = 1.7524358743831714, (49, 40) = 1.5579063933033157, (49, 41) = 1.289797250393757, (49, 42) = .9532563982579931, (49, 43) = .5567501853058814, (49, 44) = .11179221646184878, (49, 45) = -.3674666522597332, (49, 46) = -.8647708260488476, (49, 47) = -1.362393201308937, (49, 48) = -1.8418428172805483, (49, 49) = -2.2846172464486783}, datatype = float[8], order = C_order)), STYLE(PATCHNOGRID), AXESLABELS(x, y, ""), LIGHTMODEL(LIGHT_1), AXESSTYLE(BOX), PROJECTION(-55., 65., 1)), odeplot(M, [x(t), y(t), 2*sin(x(t))*cos(y(t))+(2/5)*sin((1/2)*x(t))+2*cos((3/5)*y(t))+0.5e-1], t = 0 .. 1, color = black, thickness = 3)], labels = [x, y, z])

 (5)
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