Christopher2222

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MaplePrimes Activity


These are answers submitted by Christopher2222

This application Billiard Ball dynamics at the application center might help
http://www.maplesoft.com/applications/view.aspx?SID=5650

and the physics of billiards

http://www.maplesoft.com/applications/view.aspx?SID=3811&view=html

All rods should exhibit a triple bounce.  I took the wooden handle of a broomstick and the behaviour was the same.  The angle it was dropped at was roughly 45 degrees, and yes of course I realize the angle will also affect the bounce behaviour. 

The Matlab model looks like it was at a 80 degree angle.  And it does match with experimentation.  Two long bounces followed by a third tap and then you will notice that bounces 4 5 and 6 happen in fast succession as expected. 

Here is the wav sound file, I have attached, of the cardboard tube falling at a little more than 45 degrees.  falling_rod2.zip You'll notice bounces 1,2,3 happen in quick succession then there is a 4th smaller tap in the sound file similar to the 3rd bounce shown in the Matlab model.  

The Maplesim model still needs something more to follow experimentation.  It exhibits a 1-2, 1-2, 1-2 type bounce.  The Matlab model is more like 1-2, 1, 1-2-3 ...

Don't get me wrong, I really appreciate you looking into this model.  I don't think elastic and damping values will improve realism, there is perhaps a missing element in the model?

i recorded dropping an empty roll of wrapping paper.  the three ft long ones, then ran it through slow motion.  it bounced three times before taking a higher bounce rather than the two that the simulation shows.  is there something missing in the simulation

For some reason it seems to me the bounces seem just slightly off but maybe I'm wrong.  After the first bounce on the one side is okay and the second from the other side okay no problems but the third bounce happens I think much longer after it should. 

Should the 2nd (touch) bounce accelerate the 3rd bounce into the ground rather than accelerating it first back up?

Are you looking for old versions to update older files?

I was trying to find MapleVr5 at one point.  I found it but needed a downloader installation which I didn't want to do, however that was about a year ago.  The internet has vastly changed since then and I doubt Vr5 is available anywhere. 

What is the reason for needing MapleVr4?

I get in M12

> taylor(f(x), x = 1);     

                       1           1          2    1          3    5          4     7           5      /        6\
                  1 + - x - 1 - - (x - 1)  + -- (x - 1)  - --- (x - 1)  + --- (x - 1)  + O\(x - 1) /
                       2           8               16             128              256                       
 

using maple to read an mw file is difficult.  My idea would be to create a procedure that reads the mw file and then with string surgery pluck out your varaibles

Here's my pseudo-code

-read mw file into some variable say B
(something like this in Maple)

> B := table();
> i := 1;
print(??); # input placeholder
> do data := readline("f:/param.mw");
if data = 0 then break end if; B[i] := data; i := i+1 end do;
C:=convert(B,list):

-find locations of input-equation
        - about 21 characters later after each occurance of input-equation there contains one variable with it's value in the form of (variable, value)

-separate out variable and value
        - value would have to be untangled somehow I am not sure what form that is

-display variables and values

 

If someone could elaborate as well on my idea, that would be great as I am unsure how to implement.

I see it has been updated and renamed the Grid computing Toolbox

A hard drive crash is a bad nightmare..

Your best option is to contact Maplesoft support tomorrow.  They should be able to work something out for you.

There is a 9 link pendulum app in the app center which I found interesting.  **edit add** actually here in mapleprimeshttp://www.mapleprimes.com/maplesoftblog/6889-An-Animated-Discussion-About-Pendulums

The one in the app center is called Rope and just contains more individual sections.

I do not have MapleSim so maybe someone else could try this.  What I thought would be interesting is if you detached the 9 link swinging pendulum after some time t and watch it's motion through the air from some height h.

 

I don't know if a real solution exists to this but you could use ` ` just for aesthetic purposes and then assign it to a value afterwards if you want a numerical value.

                                          

`2`:=2:

Stirlingtest;

                                     

I don't know if that will work for you but maybe it will help.

For the klein surface we could create 2 sections.  I borrowed these equations for two surfaces but the point is that one surface crosses through the other.  I thought maybe a cutout option?  The point is I want a solid surface with which we can fly through in maple without coming up on any crossing walls.  I think the klein surface might be easier to deal with than boys surface so maybe we can take care of that first?

Anyways here is what this plot yields. 

 

restart; gc()

c := .6; a := .2

.2

(1)

A1 := c*(cos(v)*sin(v)-.5+a*sin(u)*sin(v)/sqrt(sin(v)^2+cos(2*v)^2)); B1 := a*c*cos(u); C1 := cos(v)+a*c*sin(u)*cos(2*v)/sqrt(sin(v)^2+cos(2*v)^2)

cos(v)+.12*sin(u)*cos(2*v)/(sin(v)^2+cos(2*v)^2)^(1/2)

(2)

with(plots)

handle := plot3d([A1, B1, C1], u = (1/2)*Pi .. 5*Pi*(1/2), v = (1/4)*Pi .. 5*Pi*(1/4))

PLOT3D(MESH(Array(1..25, 1..25, 1..3, {(1, 1, 1) = .12, (1, 1, 2) = .12, (1, 1, 3) = .12, (1, 2, 1) = -0.418977760661176e-15, (1, 2, 2) = -0.418977760661176e-15, (1, 2, 3) = -0.418977760661176e-15, (1, 3, 1) = .7071067811865479, (1, 3, 2) = .7071067811865479, (1, 3, 3) = .7071067811865479, (1, 4, 1) = .10386037425696076, (1, 4, 2) = .10386037425696076, (1, 4, 3) = .10386037425696076, (1, 5, 1) = -0.418977760661176e-15, (1, 5, 2) = -0.418977760661176e-15, (1, 5, 3) = -0.418977760661176e-15, (1, 6, 1) = .5715437670661948, (1, 6, 2) = .5715437670661948, (1, 6, 3) = .5715437670661948, (1, 7, 1) = 0.6373066958946434e-1, (1, 7, 2) = 0.6373066958946434e-1, (1, 7, 3) = 0.6373066958946434e-1, (1, 8, 1) = -0.418977760661176e-15, (1, 8, 2) = -0.418977760661176e-15, (1, 8, 3) = -0.418977760661176e-15, (1, 9, 1) = .4400000000000004, (1, 9, 2) = .4400000000000004, (1, 9, 3) = .4400000000000004, (1, 10, 1) = 0.7424572887262601e-2, (1, 10, 2) = 0.7424572887262601e-2, (1, 10, 3) = 0.7424572887262601e-2, (1, 11, 1) = -0.418977760661176e-15, (1, 11, 2) = -0.418977760661176e-15, (1, 11, 3) = -0.418977760661176e-15, (1, 12, 1) = .3097496809172108, (1, 12, 2) = .3097496809172108, (1, 12, 3) = .3097496809172108, (1, 13, 1) = -0.6065272174695961e-1, (1, 13, 2) = -0.6065272174695961e-1, (1, 13, 3) = -0.6065272174695961e-1, (1, 14, 1) = -0.418977760661176e-15, (1, 14, 2) = -0.418977760661176e-15, (1, 14, 3) = -0.418977760661176e-15, (1, 15, 1) = .17871246691587162, (1, 15, 2) = .17871246691587162, (1, 15, 3) = .17871246691587162, (1, 16, 1) = -.13640251666863235, (1, 16, 2) = -.13640251666863235, (1, 16, 3) = -.13640251666863235, (1, 17, 1) = -0.418977760661176e-15, (1, 17, 2) = -0.418977760661176e-15, (1, 17, 3) = -0.418977760661176e-15, (1, 18, 1) = 0.4678675546446641e-1, (1, 18, 2) = 0.4678675546446641e-1, (1, 18, 3) = 0.4678675546446641e-1, (1, 19, 1) = -.21514718625761373, (1, 19, 2) = -.21514718625761373, (1, 19, 3) = -.21514718625761373, (1, 20, 1) = -0.418977760661176e-15, (1, 20, 2) = -0.418977760661176e-15, (1, 20, 3) = -0.418977760661176e-15, (1, 21, 1) = -0.8485281374238476e-1, (1, 21, 2) = -0.8485281374238476e-1, (1, 21, 3) = -0.8485281374238476e-1, (1, 22, 1) = -.2916939437301447, (1, 22, 2) = -.2916939437301447, (1, 22, 3) = -.2916939437301447, (1, 23, 1) = -0.418977760661176e-15, (1, 23, 2) = -0.418977760661176e-15, (1, 23, 3) = -0.418977760661176e-15, (1, 24, 1) = -.2142656289756365, (1, 24, 2) = -.2142656289756365, (1, 24, 3) = -.2142656289756365, (1, 25, 1) = -.3606527217469594, (1, 25, 2) = -.3606527217469594, (1, 25, 3) = -.3606527217469594, (2, 1, 1) = -0.418977760661176e-15, (2, 1, 2) = -0.418977760661176e-15, (2, 1, 3) = -0.418977760661176e-15, (2, 2, 1) = -.3389256232891694, (2, 2, 2) = -.3389256232891694, (2, 2, 3) = -.3389256232891694, (2, 3, 1) = -.4168394958246656, (2, 3, 2) = -.4168394958246656, (2, 3, 3) = -.4168394958246656, (2, 4, 1) = -0.418977760661176e-15, (2, 4, 2) = -0.418977760661176e-15, (2, 4, 3) = -0.418977760661176e-15, (2, 5, 1) = -.455617183812968, (2, 5, 2) = -.455617183812968, (2, 5, 3) = -.455617183812968, (2, 6, 1) = -.4558845726811986, (2, 6, 2) = -.4558845726811986, (2, 6, 3) = -.4558845726811986, (2, 7, 1) = -0.418977760661176e-15, (2, 7, 2) = -0.418977760661176e-15, (2, 7, 3) = -0.418977760661176e-15, (2, 8, 1) = -.5599999999999988, (2, 8, 2) = -.5599999999999988, (2, 8, 3) = -.5599999999999988, (2, 9, 1) = -.47569512151648013, (2, 9, 2) = -.47569512151648013, (2, 9, 3) = -.47569512151648013, (2, 10, 1) = -0.418977760661176e-15, (2, 10, 2) = -0.418977760661176e-15, (2, 10, 3) = -0.418977760661176e-15, (2, 11, 1) = -.645979090951246, (2, 11, 2) = -.645979090951246, (2, 11, 3) = -.645979090951246, (2, 12, 1) = -.48, (2, 12, 2) = -.48, (2, 12, 3) = -.48, (2, 13, 1) = -0.418977760661176e-15, (2, 13, 2) = -0.418977760661176e-15, (2, 13, 3) = -0.418977760661176e-15, (2, 14, 1) = -.7071067811865468, (2, 14, 2) = -.7071067811865468, (2, 14, 3) = -.7071067811865468, (2, 15, 1) = -.4793442709814777, (2, 15, 2) = -.4793442709814777, (2, 15, 3) = -.4793442709814777, (2, 16, 1) = -0.418977760661176e-15, (2, 16, 2) = -0.418977760661176e-15, (2, 16, 3) = -0.418977760661176e-15, (2, 17, 1) = -.7464017995431483, (2, 17, 2) = -.7464017995431483, (2, 17, 3) = -.7464017995431483, (2, 18, 1) = -.47495480739294604, (2, 18, 2) = -.47495480739294604, (2, 18, 3) = -.47495480739294604, (2, 19, 1) = -0.418977760661176e-15, (2, 19, 2) = -0.418977760661176e-15, (2, 19, 3) = -0.418977760661176e-15, (2, 20, 1) = -.7811725900420524, (2, 20, 2) = -.7811725900420524, (2, 20, 3) = -.7811725900420524, (2, 21, 1) = -.4550164564186086, (2, 21, 2) = -.4550164564186086, (2, 21, 3) = -.4550164564186086, (2, 22, 1) = -0.418977760661176e-15, (2, 22, 2) = -0.418977760661176e-15, (2, 22, 3) = -0.418977760661176e-15, (2, 23, 1) = -.818343705623533, (2, 23, 2) = -.818343705623533, (2, 23, 3) = -.818343705623533, (2, 24, 1) = -.4156386811602037, (2, 24, 2) = -.4156386811602037, (2, 24, 3) = -.4156386811602037, (2, 25, 1) = -0.418977760661176e-15, (2, 25, 2) = -0.418977760661176e-15, (2, 25, 3) = -0.418977760661176e-15, (3, 1, 1) = -.8509506125793738, (3, 1, 2) = -.8509506125793738, (3, 1, 3) = -.8509506125793738, (3, 2, 1) = -.36157608891164505, (3, 2, 2) = -.36157608891164505, (3, 2, 3) = -.36157608891164505, (3, 3, 1) = -0.418977760661176e-15, (3, 3, 2) = -0.418977760661176e-15, (3, 3, 3) = -0.418977760661176e-15, (3, 4, 1) = -.8725256990634372, (3, 4, 2) = -.8725256990634372, (3, 4, 3) = -.8725256990634372, (3, 5, 1) = -.3000000000000013, (3, 5, 2) = -.3000000000000013, (3, 5, 3) = -.3000000000000013, (3, 6, 1) = -0.418977760661176e-15, (3, 6, 2) = -0.418977760661176e-15, (3, 6, 3) = -0.418977760661176e-15, (3, 7, 1) = -.88, (3, 7, 2) = -.88, (3, 7, 3) = -.88, (3, 8, 1) = -.2384239110883574, (3, 8, 2) = -.2384239110883574, (3, 8, 3) = -.2384239110883574, (3, 9, 1) = -0.418977760661176e-15, (3, 9, 2) = -0.418977760661176e-15, (3, 9, 3) = -0.418977760661176e-15, (3, 10, 1) = -.8725256990634379, (3, 10, 2) = -.8725256990634379, (3, 10, 3) = -.8725256990634379, (3, 11, 1) = -.18436131883979837, (3, 11, 2) = -.18436131883979837, (3, 11, 3) = -.18436131883979837, (3, 12, 1) = -0.418977760661176e-15, (3, 12, 2) = -0.418977760661176e-15, (3, 12, 3) = -0.418977760661176e-15, (3, 13, 1) = -.850950612579375, (3, 13, 2) = -.850950612579375, (3, 13, 3) = -.850950612579375, (3, 14, 1) = -.1449835435813926, (3, 14, 2) = -.1449835435813926, (3, 14, 3) = -.1449835435813926, (3, 15, 1) = -0.418977760661176e-15, (3, 15, 2) = -0.418977760661176e-15, (3, 15, 3) = -0.418977760661176e-15, (3, 16, 1) = -.8183437056235346, (3, 16, 2) = -.8183437056235346, (3, 16, 3) = -.8183437056235346, (3, 17, 1) = -.12504519260705438, (3, 17, 2) = -.12504519260705438, (3, 17, 3) = -.12504519260705438, (3, 18, 1) = -0.418977760661176e-15, (3, 18, 2) = -0.418977760661176e-15, (3, 18, 3) = -0.418977760661176e-15, (3, 19, 1) = -.7811725900420539, (3, 19, 2) = -.7811725900420539, (3, 19, 3) = -.7811725900420539, (3, 20, 1) = -.12065572901852233, (3, 20, 2) = -.12065572901852233, (3, 20, 3) = -.12065572901852233, (3, 21, 1) = -0.418977760661176e-15, (3, 21, 2) = -0.418977760661176e-15, (3, 21, 3) = -0.418977760661176e-15, (3, 22, 1) = -.7464017995431497, (3, 22, 2) = -.7464017995431497, (3, 22, 3) = -.7464017995431497, (3, 23, 1) = -.12000000000000002, (3, 23, 2) = -.12000000000000002, (3, 23, 3) = -.12000000000000002, (3, 24, 1) = -0.418977760661176e-15, (3, 24, 2) = -0.418977760661176e-15, (3, 24, 3) = -0.418977760661176e-15, (3, 25, 1) = -.7071067811865489, (3, 25, 2) = -.7071067811865489, (3, 25, 3) = -.7071067811865489, (4, 1, 1) = .11591109915468807, (4, 1, 2) = .11591109915468807, (4, 1, 3) = .11591109915468807, (4, 2, 1) = -0.3105828541230286e-1, (4, 2, 2) = -0.3105828541230286e-1, (4, 2, 3) = -0.3105828541230286e-1, (4, 3, 1) = .7071067811865479, (4, 3, 2) = .7071067811865479, (4, 3, 3) = .7071067811865479, (4, 4, 1) = 0.9997310302862178e-1, (4, 4, 2) = 0.9997310302862178e-1, (4, 4, 3) = 0.9997310302862178e-1, (4, 5, 1) = -0.3105828541230286e-1, (4, 5, 2) = -0.3105828541230286e-1, (4, 5, 3) = -0.3105828541230286e-1, (4, 6, 1) = .5728119281443391, (4, 6, 2) = .5728119281443391, (4, 6, 3) = .5728119281443391, (4, 7, 1) = 0.6018957758386857e-1, (4, 7, 2) = 0.6018957758386857e-1, (4, 7, 3) = 0.6018957758386857e-1, (4, 8, 1) = -0.3105828541230286e-1, (4, 8, 2) = -0.3105828541230286e-1, (4, 8, 3) = -0.3105828541230286e-1, (4, 9, 1) = .44204445042265633, (4, 9, 2) = .44204445042265633, (4, 9, 3) = .44204445042265633, (4, 10, 1) = 0.41775583759914026e-2, (4, 10, 2) = 0.41775583759914026e-2, (4, 10, 3) = 0.41775583759914026e-2, (4, 11, 1) = -0.3105828541230286e-1, (4, 11, 2) = -0.3105828541230286e-1, (4, 11, 3) = -0.3105828541230286e-1, (4, 12, 1) = .3122348382334358, (4, 12, 2) = .3122348382334358, (4, 12, 3) = .3122348382334358, (4, 13, 1) = -0.6369715642675274e-1, (4, 13, 2) = -0.6369715642675274e-1, (4, 13, 3) = -0.6369715642675274e-1, (4, 14, 1) = -0.3105828541230286e-1, (4, 14, 2) = -0.3105828541230286e-1, (4, 14, 3) = -0.3105828541230286e-1, (4, 15, 1) = .1814420323763919, (4, 15, 2) = .1814420323763919, (4, 15, 3) = .1814420323763919, (4, 16, 1) = -.13933125220358047, (4, 16, 2) = -.13933125220358047, (4, 16, 3) = -.13933125220358047, (4, 17, 1) = -0.3105828541230286e-1, (4, 17, 2) = -0.3105828541230286e-1, (4, 17, 3) = -0.3105828541230286e-1, (4, 18, 1) = 0.49640107578931905e-1, (4, 18, 2) = 0.49640107578931905e-1, (4, 18, 3) = 0.49640107578931905e-1, (4, 19, 1) = -.21803847577293317, (4, 19, 2) = -.21803847577293317, (4, 19, 3) = -.21803847577293317, (4, 20, 1) = -0.3105828541230286e-1, (4, 20, 2) = -0.3105828541230286e-1, (4, 20, 3) = -0.3105828541230286e-1, (4, 21, 1) = -0.819615242270653e-1, (4, 21, 2) = -0.819615242270653e-1, (4, 21, 3) = -0.819615242270653e-1, (4, 22, 1) = -.2946226792650928, (4, 22, 2) = -.2946226792650928, (4, 22, 3) = -.2946226792650928, (4, 23, 1) = -0.3105828541230286e-1, (4, 23, 2) = -0.3105828541230286e-1, (4, 23, 3) = -0.3105828541230286e-1, (4, 24, 1) = -.211412276861171, (4, 24, 2) = -.211412276861171, (4, 24, 3) = -.211412276861171, (4, 25, 1) = -.3636971564267525, (4, 25, 2) = -.3636971564267525, (4, 25, 3) = -.3636971564267525, (5, 1, 1) = -0.3105828541230286e-1, (5, 1, 2) = -0.3105828541230286e-1, (5, 1, 3) = -0.3105828541230286e-1, (5, 2, 1) = -.33619605782864914, (5, 2, 2) = -.33619605782864914, (5, 2, 3) = -.33619605782864914, (5, 3, 1) = -.4200865103359368, (5, 3, 2) = -.4200865103359368, (5, 3, 3) = -.4200865103359368, (5, 4, 1) = -0.3105828541230286e-1, (5, 4, 2) = -0.3105828541230286e-1, (5, 4, 3) = -0.3105828541230286e-1, (5, 5, 1) = -.453132026496743, (5, 5, 2) = -.453132026496743, (5, 5, 3) = -.453132026496743, (5, 6, 1) = -.45942566468679435, (5, 6, 2) = -.45942566468679435, (5, 6, 3) = -.45942566468679435, (5, 7, 1) = -0.3105828541230286e-1, (5, 7, 2) = -0.3105828541230286e-1, (5, 7, 3) = -0.3105828541230286e-1, (5, 8, 1) = -.5579555495773428, (5, 8, 2) = -.5579555495773428, (5, 8, 3) = -.5579555495773428, (5, 9, 1) = -.4795823927448191, (5, 9, 2) = -.4795823927448191, (5, 9, 3) = -.4795823927448191, (5, 10, 1) = -0.3105828541230286e-1, (5, 10, 2) = -0.3105828541230286e-1, (5, 10, 3) = -0.3105828541230286e-1, (5, 11, 1) = -.6447109298731015, (5, 11, 2) = -.6447109298731015, (5, 11, 3) = -.6447109298731015, (5, 12, 1) = -.48408890084531186, (5, 12, 2) = -.48408890084531186, (5, 12, 3) = -.48408890084531186, (5, 13, 1) = -0.3105828541230286e-1, (5, 13, 2) = -0.3105828541230286e-1, (5, 13, 3) = -0.3105828541230286e-1, (5, 14, 1) = -.7071067811865468, (5, 14, 2) = -.7071067811865468, (5, 14, 3) = -.7071067811865468, (5, 15, 1) = -.4831072004570492, (5, 15, 2) = -.4831072004570492, (5, 15, 3) = -.4831072004570492, (5, 16, 1) = -0.3105828541230286e-1, (5, 16, 2) = -0.3105828541230286e-1, (5, 16, 3) = -0.3105828541230286e-1, (5, 17, 1) = -.7480016344985945, (5, 17, 2) = -.7480016344985945, (5, 17, 3) = -.7480016344985945, (5, 18, 1) = -.4778460969082655, (5, 18, 2) = -.4778460969082655, (5, 18, 3) = -.4778460969082655, (5, 19, 1) = -0.3105828541230286e-1, (5, 19, 2) = -0.3105828541230286e-1, (5, 19, 3) = -0.3105828541230286e-1, (5, 20, 1) = -.7840638795573718, (5, 20, 2) = -.7840638795573718, (5, 20, 3) = -.7840638795573718, (5, 21, 1) = -.4569626225428464, (5, 21, 2) = -.4569626225428464, (5, 21, 3) = -.4569626225428464, (5, 22, 1) = -0.3105828541230286e-1, (5, 22, 2) = -0.3105828541230286e-1, (5, 22, 3) = -0.3105828541230286e-1, (5, 23, 1) = -.8219397517216331, (5, 23, 2) = -.8219397517216331, (5, 23, 3) = -.8219397517216331, (5, 24, 1) = -.41680951470728766, (5, 24, 2) = -.41680951470728766, (5, 24, 3) = -.41680951470728766, (5, 25, 1) = -0.3105828541230286e-1, (5, 25, 2) = -0.3105828541230286e-1, (5, 25, 3) = -0.3105828541230286e-1, (6, 1, 1) = -.8548682979837695, (6, 1, 2) = -.8548682979837695, (6, 1, 3) = -.8548682979837695, (6, 2, 1) = -.3621236480923862, (6, 2, 2) = -.3621236480923862, (6, 2, 3) = -.3621236480923862, (6, 3, 1) = -0.3105828541230286e-1, (6, 3, 2) = -0.3105828541230286e-1, (6, 3, 3) = -0.3105828541230286e-1, (6, 4, 1) = -.8765777712575594, (6, 4, 2) = -.8765777712575594, (6, 4, 3) = -.8765777712575594, (6, 5, 1) = -.3000000000000013, (6, 5, 2) = -.3000000000000013, (6, 5, 3) = -.3000000000000013, (6, 6, 1) = -0.3105828541230286e-1, (6, 6, 2) = -0.3105828541230286e-1, (6, 6, 3) = -0.3105828541230286e-1, (6, 7, 1) = -.8840889008453119, (6, 7, 2) = -.8840889008453119, (6, 7, 3) = -.8840889008453119, (6, 8, 1) = -.2378763519076163, (6, 8, 2) = -.2378763519076163, (6, 8, 3) = -.2378763519076163, (6, 9, 1) = -0.3105828541230286e-1, (6, 9, 2) = -0.3105828541230286e-1, (6, 9, 3) = -0.3105828541230286e-1, (6, 10, 1) = -.8765777712575601, (6, 10, 2) = -.8765777712575601, (6, 10, 3) = -.8765777712575601, (6, 11, 1) = -.1831904852927144, (6, 11, 2) = -.1831904852927144, (6, 11, 3) = -.1831904852927144, (6, 12, 1) = -0.3105828541230286e-1, (6, 12, 2) = -0.3105828541230286e-1, (6, 12, 3) = -0.3105828541230286e-1, (6, 13, 1) = -.8548682979837707, (6, 13, 2) = -.8548682979837707, (6, 13, 3) = -.8548682979837707, (6, 14, 1) = -.14303737745715484, (6, 14, 2) = -.14303737745715484, (6, 14, 3) = -.14303737745715484, (6, 15, 1) = -0.3105828541230286e-1, (6, 15, 2) = -0.3105828541230286e-1, (6, 15, 3) = -0.3105828541230286e-1, (6, 16, 1) = -.8219397517216348, (6, 16, 2) = -.8219397517216348, (6, 16, 3) = -.8219397517216348, (6, 17, 1) = -.12215390309173495, (6, 17, 2) = -.12215390309173495, (6, 17, 3) = -.12215390309173495, (6, 18, 1) = -0.3105828541230286e-1, (6, 18, 2) = -0.3105828541230286e-1, (6, 18, 3) = -0.3105828541230286e-1, (6, 19, 1) = -.7840638795573734, (6, 19, 2) = -.7840638795573734, (6, 19, 3) = -.7840638795573734, (6, 20, 1) = -.11689279954295084, (6, 20, 2) = -.11689279954295084, (6, 20, 3) = -.11689279954295084, (6, 21, 1) = -0.3105828541230286e-1, (6, 21, 2) = -0.3105828541230286e-1, (6, 21, 3) = -0.3105828541230286e-1, (6, 22, 1) = -.7480016344985959, (6, 22, 2) = -.7480016344985959, (6, 22, 3) = -.7480016344985959, (6, 23, 1) = -.1159110991546881, (6, 23, 2) = -.1159110991546881, (6, 23, 3) = -.1159110991546881, (6, 24, 1) = -0.3105828541230286e-1, (6, 24, 2) = -0.3105828541230286e-1, (6, 24, 3) = -0.3105828541230286e-1, (6, 25, 1) = -.7071067811865489, (6, 25, 2) = -.7071067811865489, (6, 25, 3) = -.7071067811865489, (7, 1, 1) = .10392304845413246, (7, 1, 2) = .10392304845413246, (7, 1, 3) = .10392304845413246, (7, 2, 1) = -0.6000000000000029e-1, (7, 2, 2) = -0.6000000000000029e-1, (7, 2, 3) = -0.6000000000000029e-1, (7, 3, 1) = .7071067811865479, (7, 3, 2) = .7071067811865479, (7, 3, 3) = .7071067811865479, (7, 4, 1) = 0.8857620045379691e-1, (7, 4, 2) = 0.8857620045379691e-1, (7, 4, 3) = 0.8857620045379691e-1, (7, 5, 1) = -0.6000000000000029e-1, (7, 5, 2) = -0.6000000000000029e-1, (7, 5, 3) = -0.6000000000000029e-1, (7, 6, 1) = .5765299882970321, (7, 6, 2) = .5765299882970321, (7, 6, 3) = .5765299882970321, (7, 7, 1) = 0.4980762113533156e-1, (7, 7, 2) = 0.4980762113533156e-1, (7, 7, 3) = 0.4980762113533156e-1, (7, 8, 1) = -0.6000000000000029e-1, (7, 8, 2) = -0.6000000000000029e-1, (7, 8, 3) = -0.6000000000000029e-1, (7, 9, 1) = .44803847577293415, (7, 9, 2) = .44803847577293415, (7, 9, 3) = .44803847577293415, (7, 10, 1) = -0.534220648482403e-2, (7, 10, 2) = -0.534220648482403e-2, (7, 10, 3) = -0.534220648482403e-2, (7, 11, 1) = -0.6000000000000029e-1, (7, 11, 2) = -0.6000000000000029e-1, (7, 11, 3) = -0.6000000000000029e-1, (7, 12, 1) = .31952095081792664, (7, 12, 2) = .31952095081792664, (7, 12, 3) = .31952095081792664, (7, 13, 1) = -0.7262298727387018e-1, (7, 13, 2) = -0.7262298727387018e-1, (7, 13, 3) = -0.7262298727387018e-1, (7, 14, 1) = -0.6000000000000029e-1, (7, 14, 2) = -0.6000000000000029e-1, (7, 14, 3) = -0.6000000000000029e-1, (7, 15, 1) = .1894447133826384, (7, 15, 2) = .1894447133826384, (7, 15, 3) = .1894447133826384, (7, 16, 1) = -.14791787032168222, (7, 16, 2) = -.14791787032168222, (7, 16, 3) = -.14791787032168222, (7, 17, 1) = -0.6000000000000029e-1, (7, 17, 2) = -0.6000000000000029e-1, (7, 17, 3) = -0.6000000000000029e-1, (7, 18, 1) = 0.58005712691114694e-1, (7, 18, 2) = 0.58005712691114694e-1, (7, 18, 3) = 0.58005712691114694e-1, (7, 19, 1) = -.2265153077165042, (7, 19, 2) = -.2265153077165042, (7, 19, 3) = -.2265153077165042, (7, 20, 1) = -0.6000000000000029e-1, (7, 20, 2) = -0.6000000000000029e-1, (7, 20, 3) = -0.6000000000000029e-1, (7, 21, 1) = -0.7348469228349429e-1, (7, 21, 2) = -0.7348469228349429e-1, (7, 21, 3) = -0.7348469228349429e-1, (7, 22, 1) = -.3032092973831945, (7, 22, 2) = -.3032092973831945, (7, 22, 3) = -.3032092973831945, (7, 23, 1) = -0.6000000000000029e-1, (7, 23, 2) = -0.6000000000000029e-1, (7, 23, 3) = -0.6000000000000029e-1, (7, 24, 1) = -.20304667174898822, (7, 24, 2) = -.20304667174898822, (7, 24, 3) = -.20304667174898822, (7, 25, 1) = -.37262298727386994, (7, 25, 2) = -.37262298727386994, (7, 25, 3) = -.37262298727386994, (8, 1, 1) = -0.6000000000000029e-1, (8, 1, 2) = -0.6000000000000029e-1, (8, 1, 3) = -0.6000000000000029e-1, (8, 2, 1) = -.3281933768224026, (8, 2, 2) = -.3281933768224026, (8, 2, 3) = -.3281933768224026, (8, 3, 1) = -.4296062751967522, (8, 3, 2) = -.4296062751967522, (8, 3, 3) = -.4296062751967522, (8, 4, 1) = -0.6000000000000029e-1, (8, 4, 2) = -0.6000000000000029e-1, (8, 4, 3) = -0.6000000000000029e-1, (8, 5, 1) = -.44584591391225215, (8, 5, 2) = -.44584591391225215, (8, 5, 3) = -.44584591391225215, (8, 6, 1) = -.46980762113533137, (8, 6, 2) = -.46980762113533137, (8, 6, 3) = -.46980762113533137, (8, 7, 1) = -0.6000000000000029e-1, (8, 7, 2) = -0.6000000000000029e-1, (8, 7, 3) = -0.6000000000000029e-1, (8, 8, 1) = -.551961524227065, (8, 8, 2) = -.551961524227065, (8, 8, 3) = -.551961524227065, (8, 9, 1) = -.49097929531964396, (8, 9, 2) = -.49097929531964396, (8, 9, 3) = -.49097929531964396, (8, 10, 1) = -0.6000000000000029e-1, (8, 10, 2) = -0.6000000000000029e-1, (8, 10, 3) = -0.6000000000000029e-1, (8, 11, 1) = -.6409928697204086, (8, 11, 2) = -.6409928697204086, (8, 11, 3) = -.6409928697204086, (8, 12, 1) = -.4960769515458675, (8, 12, 2) = -.4960769515458675, (8, 12, 3) = -.4960769515458675, (8, 13, 1) = -0.6000000000000029e-1, (8, 13, 2) = -0.6000000000000029e-1, (8, 13, 3) = -0.6000000000000029e-1, (8, 14, 1) = -.7071067811865467, (8, 14, 2) = -.7071067811865467, (8, 14, 3) = -.7071067811865467, (8, 15, 1) = -.49413955145853833, (8, 15, 2) = -.49413955145853833, (8, 15, 3) = -.49413955145853833, (8, 16, 1) = -0.6000000000000029e-1, (8, 16, 2) = -0.6000000000000029e-1, (8, 16, 3) = -0.6000000000000029e-1, (8, 17, 1) = -.7526921132565716, (8, 17, 2) = -.7526921132565716, (8, 17, 3) = -.7526921132565716, (8, 18, 1) = -.4863229288518366, (8, 18, 2) = -.4863229288518366, (8, 18, 3) = -.4863229288518366, (8, 19, 1) = -0.6000000000000029e-1, (8, 19, 2) = -0.6000000000000029e-1, (8, 19, 3) = -0.6000000000000029e-1, (8, 20, 1) = -.7925407115009427, (8, 20, 2) = -.7925407115009427, (8, 20, 3) = -.7925407115009427, (8, 21, 1) = -.4626684929103845, (8, 21, 2) = -.4626684929103845, (8, 21, 3) = -.4626684929103845, (8, 22, 1) = -0.6000000000000029e-1, (8, 22, 2) = -0.6000000000000029e-1, (8, 22, 3) = -0.6000000000000029e-1, (8, 23, 1) = -.8324828254170952, (8, 23, 2) = -.8324828254170952, (8, 23, 3) = -.8324828254170952, (8, 24, 1) = -.42024222497719976, (8, 24, 2) = -.42024222497719976, (8, 24, 3) = -.42024222497719976, (8, 25, 1) = -0.6000000000000029e-1, (8, 25, 2) = -0.6000000000000029e-1, (8, 25, 3) = -0.6000000000000029e-1, (9, 1, 1) = -.8663543704109281, (9, 1, 2) = -.8663543704109281, (9, 1, 3) = -.8663543704109281, (9, 2, 1) = -.3637290103813263, (9, 2, 2) = -.3637290103813263, (9, 2, 3) = -.3637290103813263, (9, 3, 1) = -0.6000000000000029e-1, (9, 3, 2) = -0.6000000000000029e-1, (9, 3, 3) = -0.6000000000000029e-1, (9, 4, 1) = -.8884578458162624, (9, 4, 2) = -.8884578458162624, (9, 4, 3) = -.8884578458162624, (9, 5, 1) = -.3000000000000014, (9, 5, 2) = -.3000000000000014, (9, 5, 3) = -.3000000000000014, (9, 6, 1) = -0.6000000000000029e-1, (9, 6, 2) = -0.6000000000000029e-1, (9, 6, 3) = -0.6000000000000029e-1, (9, 7, 1) = -.8960769515458675, (9, 7, 2) = -.8960769515458675, (9, 7, 3) = -.8960769515458675, (9, 8, 1) = -.2362709896186762, (9, 8, 2) = -.2362709896186762, (9, 8, 3) = -.2362709896186762, (9, 9, 1) = -0.6000000000000029e-1, (9, 9, 2) = -0.6000000000000029e-1, (9, 9, 3) = -0.6000000000000029e-1, (9, 10, 1) = -.8884578458162631, (9, 10, 2) = -.8884578458162631, (9, 10, 3) = -.8884578458162631, (9, 11, 1) = -.17975777502280238, (9, 11, 2) = -.17975777502280238, (9, 11, 3) = -.17975777502280238, (9, 12, 1) = -0.6000000000000029e-1, (9, 12, 2) = -0.6000000000000029e-1, (9, 12, 3) = -0.6000000000000029e-1, (9, 13, 1) = -.8663543704109293, (9, 13, 2) = -.8663543704109293, (9, 13, 3) = -.8663543704109293, (9, 14, 1) = -.1373315070896169, (9, 14, 2) = -.1373315070896169, (9, 14, 3) = -.1373315070896169, (9, 15, 1) = -0.6000000000000029e-1, (9, 15, 2) = -0.6000000000000029e-1, (9, 15, 3) = -0.6000000000000029e-1, (9, 16, 1) = -.832482825417097, (9, 16, 2) = -.832482825417097, (9, 16, 3) = -.832482825417097, (9, 17, 1) = -.113677071148164, (9, 17, 2) = -.113677071148164, (9, 17, 3) = -.113677071148164, (9, 18, 1) = -0.6000000000000029e-1, (9, 18, 2) = -0.6000000000000029e-1, (9, 18, 3) = -0.6000000000000029e-1, (9, 19, 1) = -.7925407115009445, (9, 19, 2) = -.7925407115009445, (9, 19, 3) = -.7925407115009445, (9, 20, 1) = -.10586044854146182, (9, 20, 2) = -.10586044854146182, (9, 20, 3) = -.10586044854146182, (9, 21, 1) = -0.6000000000000029e-1, (9, 21, 2) = -0.6000000000000029e-1, (9, 21, 3) = -0.6000000000000029e-1, (9, 22, 1) = -.7526921132565733, (9, 22, 2) = -.7526921132565733, (9, 22, 3) = -.7526921132565733, (9, 23, 1) = -.10392304845413249, (9, 23, 2) = -.10392304845413249, (9, 23, 3) = -.10392304845413249, (9, 24, 1) = -0.6000000000000029e-1, (9, 24, 2) = -0.6000000000000029e-1, (9, 24, 3) = -0.6000000000000029e-1, (9, 25, 1) = -.707106781186549, (9, 25, 2) = -.707106781186549, (9, 25, 3) = -.707106781186549, (10, 1, 1) = 0.8485281374238549e-1, (10, 1, 2) = 0.8485281374238549e-1, (10, 1, 3) = 0.8485281374238549e-1, (10, 2, 1) = -0.8485281374238592e-1, (10, 2, 2) = -0.8485281374238592e-1, (10, 2, 3) = -0.8485281374238592e-1, (10, 3, 1) = .7071067811865479, (10, 3, 2) = .7071067811865479, (10, 3, 3) = .7071067811865479, (10, 4, 1) = 0.7044634660868843e-1, (10, 4, 2) = 0.7044634660868843e-1, (10, 4, 3) = 0.7044634660868843e-1, (10, 5, 1) = -0.8485281374238592e-1, (10, 5, 2) = -0.8485281374238592e-1, (10, 5, 3) = -0.8485281374238592e-1, (10, 6, 1) = .5824445678692522, (10, 6, 2) = .5824445678692522, (10, 6, 3) = .5824445678692522, (10, 7, 1) = 0.3329231341882685e-1, (10, 7, 2) = 0.3329231341882685e-1, (10, 7, 3) = 0.3329231341882685e-1, (10, 8, 1) = -0.8485281374238592e-1, (10, 8, 2) = -0.8485281374238592e-1, (10, 8, 3) = -0.8485281374238592e-1, (10, 9, 1) = .45757359312880763, (10, 9, 2) = .45757359312880763, (10, 9, 3) = .45757359312880763, (10, 10, 1) = -0.20485965452074442e-1, (10, 10, 2) = -0.20485965452074442e-1, (10, 10, 3) = -0.20485965452074442e-1, (10, 11, 1) = -0.8485281374238592e-1, (10, 11, 2) = -0.8485281374238592e-1, (10, 11, 3) = -0.8485281374238592e-1, (10, 12, 1) = .3311114821389206, (10, 12, 2) = .3311114821389206, (10, 12, 3) = .3311114821389206, (10, 13, 1) = -0.8682193366671385e-1, (10, 13, 2) = -0.8682193366671385e-1, (10, 13, 3) = -0.8682193366671385e-1, (10, 14, 1) = -0.8485281374238592e-1, (10, 14, 2) = -0.8485281374238592e-1, (10, 14, 3) = -0.8485281374238592e-1, (10, 15, 1) = .20217514044909113, (10, 15, 2) = .20217514044909113, (10, 15, 3) = .20217514044909113, (10, 16, 1) = -.16157720718824636, (10, 16, 2) = -.16157720718824636, (10, 16, 3) = -.16157720718824636, (10, 17, 1) = -0.8485281374238592e-1, (10, 17, 2) = -0.8485281374238592e-1, (10, 17, 3) = -0.8485281374238592e-1, (10, 18, 1) = 0.7131346863743568e-1, (10, 18, 2) = 0.7131346863743568e-1, (10, 18, 3) = 0.7131346863743568e-1, (10, 19, 1) = -.2399999999999996, (10, 19, 2) = -.2399999999999996, (10, 19, 3) = -.2399999999999996, (10, 20, 1) = -0.8485281374238592e-1, (10, 20, 2) = -0.8485281374238592e-1, (10, 20, 3) = -0.8485281374238592e-1, (10, 21, 1) = -0.59999999999998894e-1, (10, 21, 2) = -0.59999999999998894e-1, (10, 21, 3) = -0.59999999999998894e-1, (10, 22, 1) = -.31686863424975864, (10, 22, 2) = -.31686863424975864, (10, 22, 3) = -.31686863424975864, (10, 23, 1) = -0.8485281374238592e-1, (10, 23, 2) = -0.8485281374238592e-1, (10, 23, 3) = -0.8485281374238592e-1, (10, 24, 1) = -.18973891580266722, (10, 24, 2) = -.18973891580266722, (10, 24, 3) = -.18973891580266722, (10, 25, 1) = -.3868219336667136, (10, 25, 2) = -.3868219336667136, (10, 25, 3) = -.3868219336667136, (11, 1, 1) = -0.8485281374238592e-1, (11, 1, 2) = -0.8485281374238592e-1, (11, 1, 3) = -0.8485281374238592e-1, (11, 2, 1) = -.3154629497559499, (11, 2, 2) = -.3154629497559499, (11, 2, 3) = -.3154629497559499, (11, 3, 1) = -.4447500341640026, (11, 3, 2) = -.4447500341640026, (11, 3, 3) = -.4447500341640026, (11, 4, 1) = -0.8485281374238592e-1, (11, 4, 2) = -0.8485281374238592e-1, (11, 4, 3) = -0.8485281374238592e-1, (11, 5, 1) = -.4342553825912582, (11, 5, 2) = -.4342553825912582, (11, 5, 3) = -.4342553825912582, (11, 6, 1) = -.48632292885183603, (11, 6, 2) = -.48632292885183603, (11, 6, 3) = -.48632292885183603, (11, 7, 1) = -0.8485281374238592e-1, (11, 7, 2) = -0.8485281374238592e-1, (11, 7, 3) = -0.8485281374238592e-1, (11, 8, 1) = -.5424264068711915, (11, 8, 2) = -.5424264068711915, (11, 8, 3) = -.5424264068711915, (11, 9, 1) = -.5091091491647524, (11, 9, 2) = -.5091091491647524, (11, 9, 3) = -.5091091491647524, (11, 10, 1) = -0.8485281374238592e-1, (11, 10, 2) = -0.8485281374238592e-1, (11, 10, 3) = -0.8485281374238592e-1, (11, 11, 1) = -.6350782901481883, (11, 11, 2) = -.6350782901481883, (11, 11, 3) = -.6350782901481883, (11, 12, 1) = -.5151471862576145, (11, 12, 2) = -.5151471862576145, (11, 12, 3) = -.5151471862576145, (11, 13, 1) = -0.8485281374238592e-1, (11, 13, 2) = -0.8485281374238592e-1, (11, 13, 3) = -0.8485281374238592e-1, (11, 14, 1) = -.7071067811865466, (11, 14, 2) = -.7071067811865466, (11, 14, 3) = -.7071067811865466, (11, 15, 1) = -.5116894874970156, (11, 15, 2) = -.5116894874970156, (11, 15, 3) = -.5116894874970156, (11, 16, 1) = -0.8485281374238592e-1, (11, 16, 2) = -0.8485281374238592e-1, (11, 16, 3) = -0.8485281374238592e-1, (11, 17, 1) = -.7601535874411062, (11, 17, 2) = -.7601535874411062, (11, 17, 3) = -.7601535874411062, (11, 18, 1) = -.49980762113533206, (11, 18, 2) = -.49980762113533206, (11, 18, 3) = -.49980762113533206, (11, 19, 1) = -0.8485281374238592e-1, (11, 19, 2) = -0.8485281374238592e-1, (11, 19, 3) = -0.8485281374238592e-1, (11, 20, 1) = -.8060254037844381, (11, 20, 2) = -.8060254037844381, (11, 20, 3) = -.8060254037844381, (11, 21, 1) = -.47174522188507173, (11, 21, 2) = -.47174522188507173, (11, 21, 3) = -.47174522188507173, (11, 22, 1) = -0.8485281374238592e-1, (11, 22, 2) = -0.8485281374238592e-1, (11, 22, 3) = -0.8485281374238592e-1, (11, 23, 1) = -.8492544336608264, (11, 23, 2) = -.8492544336608264, (11, 23, 3) = -.8492544336608264, (11, 24, 1) = -.42570287843786736, (11, 24, 2) = -.42570287843786736, (11, 24, 3) = -.42570287843786736, (11, 25, 1) = -0.8485281374238592e-1, (11, 25, 2) = -0.8485281374238592e-1, (11, 25, 3) = -0.8485281374238592e-1, (12, 1, 1) = -.8846260730065708, (12, 1, 2) = -.8846260730065708, (12, 1, 3) = -.8846260730065708, (12, 2, 1) = -.3662827729914609, (12, 2, 2) = -.3662827729914609, (12, 2, 3) = -.3662827729914609, (12, 3, 1) = -0.8485281374238592e-1, (12, 3, 2) = -0.8485281374238592e-1, (12, 3, 3) = -0.8485281374238592e-1, (12, 4, 1) = -.9073563152911219, (12, 4, 2) = -.9073563152911219, (12, 4, 3) = -.9073563152911219, (12, 5, 1) = -.30000000000000143, (12, 5, 2) = -.30000000000000143, (12, 5, 3) = -.30000000000000143, (12, 6, 1) = -0.8485281374238592e-1, (12, 6, 2) = -0.8485281374238592e-1, (12, 6, 3) = -0.8485281374238592e-1, (12, 7, 1) = -.9151471862576145, (12, 7, 2) = -.9151471862576145, (12, 7, 3) = -.9151471862576145, (12, 8, 1) = -.23371722700854178, (12, 8, 2) = -.23371722700854178, (12, 8, 3) = -.23371722700854178, (12, 9, 1) = -0.8485281374238592e-1, (12, 9, 2) = -0.8485281374238592e-1, (12, 9, 3) = -0.8485281374238592e-1, (12, 10, 1) = -.9073563152911226, (12, 10, 2) = -.9073563152911226, (12, 10, 3) = -.9073563152911226, (12, 11, 1) = -.1742971215621349, (12, 11, 2) = -.1742971215621349, (12, 11, 3) = -.1742971215621349, (12, 12, 1) = -0.8485281374238592e-1, (12, 12, 2) = -0.8485281374238592e-1, (12, 12, 3) = -0.8485281374238592e-1, (12, 13, 1) = -.8846260730065721, (12, 13, 2) = -.8846260730065721, (12, 13, 3) = -.8846260730065721, (12, 14, 1) = -.12825477811492983, (12, 14, 2) = -.12825477811492983, (12, 14, 3) = -.12825477811492983, (12, 15, 1) = -0.8485281374238592e-1, (12, 15, 2) = -0.8485281374238592e-1, (12, 15, 3) = -0.8485281374238592e-1, (12, 16, 1) = -.8492544336608282, (12, 16, 2) = -.8492544336608282, (12, 16, 3) = -.8492544336608282, (12, 17, 1) = -.10019237886466874, (12, 17, 2) = -.10019237886466874, (12, 17, 3) = -.10019237886466874, (12, 18, 1) = -0.8485281374238592e-1, (12, 18, 2) = -0.8485281374238592e-1, (12, 18, 3) = -0.8485281374238592e-1, (12, 19, 1) = -.80602540378444, (12, 19, 2) = -.80602540378444, (12, 19, 3) = -.80602540378444, (12, 20, 1) = -0.8831051250298466e-1, (12, 20, 2) = -0.8831051250298466e-1, (12, 20, 3) = -0.8831051250298466e-1, (12, 21, 1) = -0.8485281374238592e-1, (12, 21, 2) = -0.8485281374238592e-1, (12, 21, 3) = -0.8485281374238592e-1, (12, 22, 1) = -.7601535874411082, (12, 22, 2) = -.7601535874411082, (12, 22, 3) = -.7601535874411082, (12, 23, 1) = -0.8485281374238549e-1, (12, 23, 2) = -0.8485281374238549e-1, (12, 23, 3) = -0.8485281374238549e-1, (12, 24, 1) = -0.8485281374238592e-1, (12, 24, 2) = -0.8485281374238592e-1, (12, 24, 3) = -0.8485281374238592e-1, (12, 25, 1) = -.7071067811865492, (12, 25, 2) = -.7071067811865492, (12, 25, 3) = -.7071067811865492, (13, 1, 1) = 0.59999999999999755e-1, (13, 1, 2) = 0.59999999999999755e-1, (13, 1, 3) = 0.59999999999999755e-1, (13, 2, 1) = -.10392304845413278, (13, 2, 2) = -.10392304845413278, (13, 2, 3) = -.10392304845413278, (13, 3, 1) = .7071067811865479, (13, 3, 2) = .7071067811865479, (13, 3, 3) = .7071067811865479, (13, 4, 1) = 0.46819061071840404e-1, (13, 4, 2) = 0.46819061071840404e-1, (13, 4, 3) = 0.46819061071840404e-1, (13, 5, 1) = -.10392304845413278, (13, 5, 2) = -.10392304845413278, (13, 5, 3) = -.10392304845413278, (13, 6, 1) = .590152598037458, (13, 6, 2) = .590152598037458, (13, 6, 3) = .590152598037458, (13, 7, 1) = 0.11769145362397808e-1, (13, 7, 2) = 0.11769145362397808e-1, (13, 7, 3) = 0.11769145362397808e-1, (13, 8, 1) = -.10392304845413278, (13, 8, 2) = -.10392304845413278, (13, 8, 3) = -.10392304845413278, (13, 9, 1) = .4700000000000005, (13, 9, 2) = .4700000000000005, (13, 9, 3) = .4700000000000005, (13, 10, 1) = -0.4022169637838668e-1, (13, 10, 2) = -0.4022169637838668e-1, (13, 10, 3) = -0.4022169637838668e-1, (13, 11, 1) = -.10392304845413278, (13, 11, 2) = -.10392304845413278, (13, 11, 3) = -.10392304845413278, (13, 12, 1) = .34621655664115064, (13, 12, 2) = .34621655664115064, (13, 12, 3) = .34621655664115064, (13, 13, 1) = -.10532636087347982, (13, 13, 2) = -.10532636087347982, (13, 13, 3) = -.10532636087347982, (13, 14, 1) = -.10392304845413278, (13, 14, 2) = -.10392304845413278, (13, 14, 3) = -.10392304845413278, (13, 15, 1) = .21876575600919668, (13, 15, 2) = .21876575600919668, (13, 15, 3) = .21876575600919668, (13, 16, 1) = -.17937840156893803, (13, 16, 2) = -.17937840156893803, (13, 16, 3) = -.17937840156893803, (13, 17, 1) = -.10392304845413278, (13, 17, 2) = -.10392304845413278, (13, 17, 3) = -.10392304845413278, (13, 18, 1) = 0.8865647384225955e-1, (13, 18, 2) = 0.8865647384225955e-1, (13, 18, 3) = 0.8865647384225955e-1, (13, 19, 1) = -.25757359312880673, (13, 19, 2) = -.25757359312880673, (13, 19, 3) = -.25757359312880673, (13, 20, 1) = -.10392304845413278, (13, 20, 2) = -.10392304845413278, (13, 20, 3) = -.10392304845413278, (13, 21, 1) = -0.4242640687119174e-1, (13, 21, 2) = -0.4242640687119174e-1, (13, 21, 3) = -0.4242640687119174e-1, (13, 22, 1) = -.3346698286304503, (13, 22, 2) = -.3346698286304503, (13, 22, 3) = -.3346698286304503, (13, 23, 1) = -.10392304845413278, (13, 23, 2) = -.10392304845413278, (13, 23, 3) = -.10392304845413278, (13, 24, 1) = -.17239591059784332, (13, 24, 2) = -.17239591059784332, (13, 24, 3) = -.17239591059784332, (13, 25, 1) = -.4053263608734795, (13, 25, 2) = -.4053263608734795, (13, 25, 3) = -.4053263608734795, (14, 1, 1) = -.10392304845413278, (14, 1, 2) = -.10392304845413278, (14, 1, 3) = -.10392304845413278, (14, 2, 1) = -.29887233419584436, (14, 2, 2) = -.29887233419584436, (14, 2, 3) = -.29887233419584436, (14, 3, 1) = -.4644857650903148, (14, 3, 2) = -.4644857650903148, (14, 3, 3) = -.4644857650903148, (14, 4, 1) = -.10392304845413278, (14, 4, 2) = -.10392304845413278, (14, 4, 3) = -.10392304845413278, (14, 5, 1) = -.4191503080890281, (14, 5, 2) = -.4191503080890281, (14, 5, 3) = -.4191503080890281, (14, 6, 1) = -.5078460969082651, (14, 6, 2) = -.5078460969082651, (14, 6, 3) = -.5078460969082651, (14, 7, 1) = -.10392304845413278, (14, 7, 2) = -.10392304845413278, (14, 7, 3) = -.10392304845413278, (14, 8, 1) = -.5299999999999986, (14, 8, 2) = -.5299999999999986, (14, 8, 3) = -.5299999999999986, (14, 9, 1) = -.5327364347016004, (14, 9, 2) = -.5327364347016004, (14, 9, 3) = -.5327364347016004, (14, 10, 1) = -.10392304845413278, (14, 10, 2) = -.10392304845413278, (14, 10, 3) = -.10392304845413278, (14, 11, 1) = -.6273702599799825, (14, 11, 2) = -.6273702599799825, (14, 11, 3) = -.6273702599799825, (14, 12, 1) = -.5400000000000003, (14, 12, 2) = -.5400000000000003, (14, 12, 3) = -.5400000000000003, (14, 13, 1) = -.10392304845413278, (14, 13, 2) = -.10392304845413278, (14, 13, 3) = -.10392304845413278, (14, 14, 1) = -.7071067811865465, (14, 14, 2) = -.7071067811865465, (14, 14, 3) = -.7071067811865465, (14, 15, 1) = -.5345610094340995, (14, 15, 2) = -.5345610094340995, (14, 15, 3) = -.5345610094340995, (14, 16, 1) = -.10392304845413278, (14, 16, 2) = -.10392304845413278, (14, 16, 3) = -.10392304845413278, (14, 17, 1) = -.7698775699171913, (14, 17, 2) = -.7698775699171913, (14, 17, 3) = -.7698775699171913, (14, 18, 1) = -.5173812142641393, (14, 18, 2) = -.5173812142641393, (14, 18, 3) = -.5173812142641393, (14, 19, 1) = -.10392304845413278, (14, 19, 2) = -.10392304845413278, (14, 19, 3) = -.10392304845413278, (14, 20, 1) = -.8235989969132451, (14, 20, 2) = -.8235989969132451, (14, 20, 3) = -.8235989969132451, (14, 21, 1) = -.48357424538728705, (14, 21, 2) = -.48357424538728705, (14, 21, 3) = -.48357424538728705, (14, 22, 1) = -.10392304845413278, (14, 22, 2) = -.10392304845413278, (14, 22, 3) = -.10392304845413278, (14, 23, 1) = -.8711116190674096, (14, 23, 2) = -.8711116190674096, (14, 23, 3) = -.8711116190674096, (14, 24, 1) = -.4328193405801026, (14, 24, 2) = -.4328193405801026, (14, 24, 3) = -.4328193405801026, (14, 25, 1) = -.10392304845413278, (14, 25, 2) = -.10392304845413278, (14, 25, 3) = -.10392304845413278, (15, 1, 1) = -.908438219434221, (15, 1, 2) = -.908438219434221, (15, 1, 3) = -.908438219434221, (15, 2, 1) = -.3696109012212014, (15, 2, 2) = -.3696109012212014, (15, 2, 3) = -.3696109012212014, (15, 3, 1) = -.10392304845413278, (15, 3, 2) = -.10392304845413278, (15, 3, 3) = -.10392304845413278, (15, 4, 1) = -.9319852802186238, (15, 4, 2) = -.9319852802186238, (15, 4, 3) = -.9319852802186238, (15, 5, 1) = -.3000000000000015, (15, 5, 2) = -.3000000000000015, (15, 5, 3) = -.3000000000000015, (15, 6, 1) = -.10392304845413278, (15, 6, 2) = -.10392304845413278, (15, 6, 3) = -.10392304845413278, (15, 7, 1) = -.9400000000000003, (15, 7, 2) = -.9400000000000003, (15, 7, 3) = -.9400000000000003, (15, 8, 1) = -.23038909877880137, (15, 8, 2) = -.23038909877880137, (15, 8, 3) = -.23038909877880137, (15, 9, 1) = -.10392304845413278, (15, 9, 2) = -.10392304845413278, (15, 9, 3) = -.10392304845413278, (15, 10, 1) = -.9319852802186246, (15, 10, 2) = -.9319852802186246, (15, 10, 3) = -.9319852802186246, (15, 11, 1) = -.1671806594198999, (15, 11, 2) = -.1671806594198999, (15, 11, 3) = -.1671806594198999, (15, 12, 1) = -.10392304845413278, (15, 12, 2) = -.10392304845413278, (15, 12, 3) = -.10392304845413278, (15, 13, 1) = -.9084382194342223, (15, 13, 2) = -.9084382194342223, (15, 13, 3) = -.9084382194342223, (15, 14, 1) = -.11642575461271473, (15, 14, 2) = -.11642575461271473, (15, 14, 3) = -.11642575461271473, (15, 15, 1) = -.10392304845413278, (15, 15, 2) = -.10392304845413278, (15, 15, 3) = -.10392304845413278, (15, 16, 1) = -.8711116190674115, (15, 16, 2) = -.8711116190674115, (15, 16, 3) = -.8711116190674115, (15, 17, 1) = -0.8261878573586173e-1, (15, 17, 2) = -0.8261878573586173e-1, (15, 17, 3) = -0.8261878573586173e-1, (15, 18, 1) = -.10392304845413278, (15, 18, 2) = -.10392304845413278, (15, 18, 3) = -.10392304845413278, (15, 19, 1) = -.8235989969132473, (15, 19, 2) = -.8235989969132473, (15, 19, 3) = -.8235989969132473, (15, 20, 1) = -0.65438990565901e-1, (15, 20, 2) = -0.65438990565901e-1, (15, 20, 3) = -0.65438990565901e-1, (15, 21, 1) = -.10392304845413278, (15, 21, 2) = -.10392304845413278, (15, 21, 3) = -.10392304845413278, (15, 22, 1) = -.7698775699171936, (15, 22, 2) = -.7698775699171936, (15, 22, 3) = -.7698775699171936, (15, 23, 1) = -0.5999999999999977e-1, (15, 23, 2) = -0.5999999999999977e-1, (15, 23, 3) = -0.5999999999999977e-1, (15, 24, 1) = -.10392304845413278, (15, 24, 2) = -.10392304845413278, (15, 24, 3) = -.10392304845413278, (15, 25, 1) = -.7071067811865495, (15, 25, 2) = -.7071067811865495, (15, 25, 3) = -.7071067811865495, (16, 1, 1) = 0.3105828541230226e-1, (16, 1, 2) = 0.3105828541230226e-1, (16, 1, 3) = 0.3105828541230226e-1, (16, 2, 1) = -.11591109915468825, (16, 2, 2) = -.11591109915468825, (16, 2, 3) = -.11591109915468825, (16, 3, 1) = .7071067811865478, (16, 3, 2) = .7071067811865478, (16, 3, 3) = .7071067811865478, (16, 4, 1) = 0.1930450430665353e-1, (16, 4, 2) = 0.1930450430665353e-1, (16, 4, 3) = 0.1930450430665353e-1, (16, 5, 1) = -.11591109915468825, (16, 5, 2) = -.11591109915468825, (16, 5, 3) = -.11591109915468825, (16, 6, 1) = .599128789283808, (16, 6, 2) = .599128789283808, (16, 6, 3) = .599128789283808, (16, 7, 1) = -0.13295114699626895e-1, (16, 7, 2) = -0.13295114699626895e-1, (16, 7, 3) = -0.13295114699626895e-1, (16, 8, 1) = -.11591109915468825, (16, 8, 2) = -.11591109915468825, (16, 8, 3) = -.11591109915468825, (16, 9, 1) = .4844708572938492, (16, 9, 2) = .4844708572938492, (16, 9, 3) = .4844708572938492, (16, 10, 1) = -0.6320444181596999e-1, (16, 10, 2) = -0.6320444181596999e-1, (16, 10, 3) = -0.6320444181596999e-1, (16, 11, 1) = -.11591109915468825, (16, 11, 2) = -.11591109915468825, (16, 11, 3) = -.11591109915468825, (16, 12, 1) = .3638067884596056, (16, 12, 2) = .3638067884596056, (16, 12, 3) = .3638067884596056, (16, 13, 1) = -.1268752227600388, (16, 13, 2) = -.1268752227600388, (16, 13, 3) = -.1268752227600388, (16, 14, 1) = -.11591109915468825, (16, 14, 2) = -.11591109915468825, (16, 14, 3) = -.11591109915468825, (16, 15, 1) = .23808593702982245, (16, 15, 2) = .23808593702982245, (16, 15, 3) = .23808593702982245, (16, 16, 1) = -.20010833148457768, (16, 16, 2) = -.20010833148457768, (16, 16, 3) = -.20010833148457768, (16, 17, 1) = -.11591109915468825, (16, 17, 2) = -.11591109915468825, (16, 17, 3) = -.11591109915468825, (16, 18, 1) = .10885283116154884, (16, 18, 2) = .10885283116154884, (16, 18, 3) = .10885283116154884, (16, 19, 1) = -.2780384757729333, (16, 19, 2) = -.2780384757729333, (16, 19, 3) = -.2780384757729333, (16, 20, 1) = -.11591109915468825, (16, 20, 2) = -.11591109915468825, (16, 20, 3) = -.11591109915468825, (16, 21, 1) = -0.21961524227065207e-1, (16, 21, 2) = -0.21961524227065207e-1, (16, 21, 3) = -0.21961524227065207e-1, (16, 22, 1) = -.35539975854608996, (16, 22, 2) = -.35539975854608996, (16, 22, 3) = -.35539975854608996, (16, 23, 1) = -.11591109915468825, (16, 23, 2) = -.11591109915468825, (16, 23, 3) = -.11591109915468825, (16, 24, 1) = -.15219955327855403, (16, 24, 2) = -.15219955327855403, (16, 24, 3) = -.15219955327855403, (16, 25, 1) = -.4268752227600385, (16, 25, 2) = -.4268752227600385, (16, 25, 3) = -.4268752227600385, (17, 1, 1) = -.11591109915468825, (17, 1, 2) = -.11591109915468825, (17, 1, 3) = -.11591109915468825, (17, 2, 1) = -.27955215317521853, (17, 2, 2) = -.27955215317521853, (17, 2, 3) = -.27955215317521853, (17, 3, 1) = -.48746851052789814, (17, 3, 2) = -.48746851052789814, (17, 3, 3) = -.48746851052789814, (17, 4, 1) = -.11591109915468825, (17, 4, 2) = -.11591109915468825, (17, 4, 3) = -.11591109915468825, (17, 5, 1) = -.4015600762705731, (17, 5, 2) = -.4015600762705731, (17, 5, 3) = -.4015600762705731, (17, 6, 1) = -.5329103569702898, (17, 6, 2) = -.5329103569702898, (17, 6, 3) = -.5329103569702898, (17, 7, 1) = -.11591109915468825, (17, 7, 2) = -.11591109915468825, (17, 7, 3) = -.11591109915468825, (17, 8, 1) = -.5155291427061498, (17, 8, 2) = -.5155291427061498, (17, 8, 3) = -.5155291427061498, (17, 9, 1) = -.5602509914667873, (17, 9, 2) = -.5602509914667873, (17, 9, 3) = -.5602509914667873, (17, 10, 1) = -.11591109915468825, (17, 10, 2) = -.11591109915468825, (17, 10, 3) = -.11591109915468825, (17, 11, 1) = -.6183940687336323, (17, 11, 2) = -.6183940687336323, (17, 11, 3) = -.6183940687336323, (17, 12, 1) = -.5689417145876977, (17, 12, 2) = -.5689417145876977, (17, 12, 3) = -.5689417145876977, (17, 13, 1) = -.11591109915468825, (17, 13, 2) = -.11591109915468825, (17, 13, 3) = -.11591109915468825, (17, 14, 1) = -.7071067811865462, (17, 14, 2) = -.7071067811865462, (17, 14, 3) = -.7071067811865462, (17, 15, 1) = -.5611954608467546, (17, 15, 2) = -.5611954608467546, (17, 15, 3) = -.5611954608467546, (17, 16, 1) = -.11591109915468825, (17, 16, 2) = -.11591109915468825, (17, 16, 3) = -.11591109915468825, (17, 17, 1) = -.7812013873487225, (17, 17, 2) = -.7812013873487225, (17, 17, 3) = -.7812013873487225, (17, 18, 1) = -.5378460969082659, (17, 18, 2) = -.5378460969082659, (17, 18, 3) = -.5378460969082659, (17, 19, 1) = -.11591109915468825, (17, 19, 2) = -.11591109915468825, (17, 19, 3) = -.11591109915468825, (17, 20, 1) = -.8440638795573716, (17, 20, 2) = -.8440638795573716, (17, 20, 3) = -.8440638795573716, (17, 21, 1) = -.49734943501374007, (17, 21, 2) = -.49734943501374007, (17, 21, 3) = -.49734943501374007, (17, 22, 1) = -.11591109915468825, (17, 22, 2) = -.11591109915468825, (17, 22, 3) = -.11591109915468825, (17, 23, 1) = -.8965648505720929, (17, 23, 2) = -.8965648505720929, (17, 23, 3) = -.8965648505720929, (17, 24, 1) = -.4411066362694217, (17, 24, 2) = -.4411066362694217, (17, 24, 3) = -.4411066362694217, (17, 25, 1) = -.11591109915468825, (17, 25, 2) = -.11591109915468825, (17, 25, 3) = -.11591109915468825, (18, 1, 1) = -.9361680512662667, (18, 1, 2) = -.9361680512662667, (18, 1, 3) = -.9361680512662667, (18, 2, 1) = -.37348658863168305, (18, 2, 2) = -.37348658863168305, (18, 2, 3) = -.37348658863168305, (18, 3, 1) = -.11591109915468825, (18, 3, 2) = -.11591109915468825, (18, 3, 3) = -.11591109915468825, (18, 4, 1) = -.9606663173402479, (18, 4, 2) = -.9606663173402479, (18, 4, 3) = -.9606663173402479, (18, 5, 1) = -.30000000000000154, (18, 5, 2) = -.30000000000000154, (18, 5, 3) = -.30000000000000154, (18, 6, 1) = -.11591109915468825, (18, 6, 2) = -.11591109915468825, (18, 6, 3) = -.11591109915468825, (18, 7, 1) = -.9689417145876977, (18, 7, 2) = -.9689417145876977, (18, 7, 3) = -.9689417145876977, (18, 8, 1) = -.22651341136831993, (18, 8, 2) = -.22651341136831993, (18, 8, 3) = -.22651341136831993, (18, 9, 1) = -.11591109915468825, (18, 9, 2) = -.11591109915468825, (18, 9, 3) = -.11591109915468825, (18, 10, 1) = -.9606663173402487, (18, 10, 2) = -.9606663173402487, (18, 10, 3) = -.9606663173402487, (18, 11, 1) = -.158893363730581, (18, 11, 2) = -.158893363730581, (18, 11, 3) = -.158893363730581, (18, 12, 1) = -.11591109915468825, (18, 12, 2) = -.11591109915468825, (18, 12, 3) = -.11591109915468825, (18, 13, 1) = -.936168051266268, (18, 13, 2) = -.936168051266268, (18, 13, 3) = -.936168051266268, (18, 14, 1) = -.10265056498626193, (18, 14, 2) = -.10265056498626193, (18, 14, 3) = -.10265056498626193, (18, 15, 1) = -.11591109915468825, (18, 15, 2) = -.11591109915468825, (18, 15, 3) = -.11591109915468825, (18, 16, 1) = -.896564850572095, (18, 16, 2) = -.896564850572095, (18, 16, 3) = -.896564850572095, (18, 17, 1) = -0.6215390309173539e-1, (18, 17, 2) = -0.6215390309173539e-1, (18, 17, 3) = -0.6215390309173539e-1, (18, 18, 1) = -.11591109915468825, (18, 18, 2) = -.11591109915468825, (18, 18, 3) = -.11591109915468825, (18, 19, 1) = -.844063879557374, (18, 19, 2) = -.844063879557374, (18, 19, 3) = -.844063879557374, (18, 20, 1) = -0.3880453915324596e-1, (18, 20, 2) = -0.3880453915324596e-1, (18, 20, 3) = -0.3880453915324596e-1, (18, 21, 1) = -.11591109915468825, (18, 21, 2) = -.11591109915468825, (18, 21, 3) = -.11591109915468825, (18, 22, 1) = -.7812013873487252, (18, 22, 2) = -.7812013873487252, (18, 22, 3) = -.7812013873487252, (18, 23, 1) = -0.31058285412302267e-1, (18, 23, 2) = -0.31058285412302267e-1, (18, 23, 3) = -0.31058285412302267e-1, (18, 24, 1) = -.11591109915468825, (18, 24, 2) = -.11591109915468825, (18, 24, 3) = -.11591109915468825, (18, 25, 1) = -.7071067811865498, (18, 25, 2) = -.7071067811865498, (18, 25, 3) = -.7071067811865498, (19, 1, 1) = -0.19846705913826182e-15, (19, 1, 2) = -0.19846705913826182e-15, (19, 1, 3) = -0.19846705913826182e-15, (19, 2, 1) = -.12, (19, 2, 2) = -.12, (19, 2, 3) = -.12, (19, 3, 1) = .7071067811865478, (19, 3, 2) = .7071067811865478, (19, 3, 3) = .7071067811865478, (19, 4, 1) = -0.10222252113279673e-1, (19, 4, 2) = -0.10222252113279673e-1, (19, 4, 3) = -0.10222252113279673e-1, (19, 5, 1) = -.12, (19, 5, 2) = -.12, (19, 5, 3) = -.12, (19, 6, 1) = .6087614290087211, (19, 6, 2) = .6087614290087211, (19, 6, 3) = .6087614290087211, (19, 7, 1) = -0.40192378864668483e-1, (19, 7, 2) = -0.40192378864668483e-1, (19, 7, 3) = -0.40192378864668483e-1, (19, 8, 1) = -.12, (19, 8, 2) = -.12, (19, 8, 3) = -.12, (19, 9, 1) = .5000000000000004, (19, 9, 2) = .5000000000000004, (19, 9, 3) = .5000000000000004, (19, 10, 1) = -0.8786796564403572e-1, (19, 10, 2) = -0.8786796564403572e-1, (19, 10, 3) = -0.8786796564403572e-1, (19, 11, 1) = -.12, (19, 11, 2) = -.12, (19, 11, 3) = -.12, (19, 12, 1) = .38268343236509034, (19, 12, 2) = .38268343236509034, (19, 12, 3) = .38268343236509034, (19, 13, 1) = -.1499999999999998, (19, 13, 2) = -.1499999999999998, (19, 13, 3) = -.1499999999999998, (19, 14, 1) = -.12, (19, 14, 2) = -.12, (19, 14, 3) = -.12, (19, 15, 1) = .2588190451025215, (19, 15, 2) = .2588190451025215, (19, 15, 3) = .2588190451025215, (19, 16, 1) = -.22235428646924346, (19, 16, 2) = -.22235428646924346, (19, 16, 3) = -.22235428646924346, (19, 17, 1) = -.12, (19, 17, 2) = -.12, (19, 17, 3) = -.12, (19, 18, 1) = .13052619222005252, (19, 18, 2) = .13052619222005252, (19, 18, 3) = .13052619222005252, (19, 19, 1) = -.2999999999999996, (19, 19, 2) = -.2999999999999996, (19, 19, 3) = -.2999999999999996, (19, 20, 1) = -.12, (19, 20, 2) = -.12, (19, 20, 3) = -.12, (19, 21, 1) = 0.10897481630163094e-14, (19, 21, 2) = 0.10897481630163094e-14, (19, 21, 3) = 0.10897481630163094e-14, (19, 22, 1) = -.37764571353075577, (19, 22, 2) = -.37764571353075577, (19, 22, 3) = -.37764571353075577, (19, 23, 1) = -.12, (19, 23, 2) = -.12, (19, 23, 3) = -.12, (19, 24, 1) = -.13052619222005035, (19, 24, 2) = -.13052619222005035, (19, 24, 3) = -.13052619222005035, (19, 25, 1) = -.4499999999999995, (19, 25, 2) = -.4499999999999995, (19, 25, 3) = -.4499999999999995, (20, 1, 1) = -.12, (20, 1, 2) = -.12, (20, 1, 3) = -.12, (20, 2, 1) = -.25881904510251946, (20, 2, 2) = -.25881904510251946, (20, 2, 3) = -.25881904510251946, (20, 3, 1) = -.5121320343559638, (20, 3, 2) = -.5121320343559638, (20, 3, 3) = -.5121320343559638, (20, 4, 1) = -.12, (20, 4, 2) = -.12, (20, 4, 3) = -.12, (20, 5, 1) = -.38268343236508834, (20, 5, 2) = -.38268343236508834, (20, 5, 3) = -.38268343236508834, (20, 6, 1) = -.5598076211353313, (20, 6, 2) = -.5598076211353313, (20, 6, 3) = -.5598076211353313, (20, 7, 1) = -.12, (20, 7, 2) = -.12, (20, 7, 3) = -.12, (20, 8, 1) = -.4999999999999985, (20, 8, 2) = -.4999999999999985, (20, 8, 3) = -.4999999999999985, (20, 9, 1) = -.5897777478867204, (20, 9, 2) = -.5897777478867204, (20, 9, 3) = -.5897777478867204, (20, 10, 1) = -.12, (20, 10, 2) = -.12, (20, 10, 3) = -.12, (20, 11, 1) = -.6087614290087191, (20, 11, 2) = -.6087614290087191, (20, 11, 3) = -.6087614290087191, (20, 12, 1) = -.6000000000000002, (20, 12, 2) = -.6000000000000002, (20, 12, 3) = -.6000000000000002, (20, 13, 1) = -.12, (20, 13, 2) = -.12, (20, 13, 3) = -.12, (20, 14, 1) = -.7071067811865461, (20, 14, 2) = -.7071067811865461, (20, 14, 3) = -.7071067811865461, (20, 15, 1) = -.589777747886721, (20, 15, 2) = -.589777747886721, (20, 15, 3) = -.589777747886721, (20, 16, 1) = -.12, (20, 16, 2) = -.12, (20, 16, 3) = -.12, (20, 17, 1) = -.793353340291234, (20, 17, 2) = -.793353340291234, (20, 17, 3) = -.793353340291234, (20, 18, 1) = -.5598076211353323, (20, 18, 2) = -.5598076211353323, (20, 18, 3) = -.5598076211353323, (20, 19, 1) = -.12, (20, 19, 2) = -.12, (20, 19, 3) = -.12, (20, 20, 1) = -.8660254037844377, (20, 20, 2) = -.8660254037844377, (20, 20, 3) = -.8660254037844377, (20, 21, 1) = -.5121320343559653, (20, 21, 2) = -.5121320343559653, (20, 21, 3) = -.5121320343559653, (20, 22, 1) = -.12, (20, 22, 2) = -.12, (20, 22, 3) = -.12, (20, 23, 1) = -.9238795325112861, (20, 23, 2) = -.9238795325112861, (20, 23, 3) = -.9238795325112861, (20, 24, 1) = -.45000000000000134, (20, 24, 2) = -.45000000000000134, (20, 24, 3) = -.45000000000000134, (20, 25, 1) = -.12, (20, 25, 2) = -.12, (20, 25, 3) = -.12, (21, 1, 1) = -.9659258262890679, (21, 1, 2) = -.9659258262890679, (21, 1, 3) = -.9659258262890679, (21, 2, 1) = -.3776457135307577, (21, 2, 2) = -.3776457135307577, (21, 2, 3) = -.3776457135307577, (21, 3, 1) = -.12, (21, 3, 2) = -.12, (21, 3, 3) = -.12, (21, 4, 1) = -.9914448613738103, (21, 4, 2) = -.9914448613738103, (21, 4, 3) = -.9914448613738103, (21, 5, 1) = -.30000000000000165, (21, 5, 2) = -.30000000000000165, (21, 5, 3) = -.30000000000000165, (21, 6, 1) = -.12, (21, 6, 2) = -.12, (21, 6, 3) = -.12, (21, 7, 1) = -1.0000000000000002, (21, 7, 2) = -1.0000000000000002, (21, 7, 3) = -1.0000000000000002, (21, 8, 1) = -.2223542864692454, (21, 8, 2) = -.2223542864692454, (21, 8, 3) = -.2223542864692454, (21, 9, 1) = -.12, (21, 9, 2) = -.12, (21, 9, 3) = -.12, (21, 10, 1) = -.991444861373811, (21, 10, 2) = -.991444861373811, (21, 10, 3) = -.991444861373811, (21, 11, 1) = -.15000000000000155, (21, 11, 2) = -.15000000000000155, (21, 11, 3) = -.15000000000000155, (21, 12, 1) = -.12, (21, 12, 2) = -.12, (21, 12, 3) = -.12, (21, 13, 1) = -.9659258262890693, (21, 13, 2) = -.9659258262890693, (21, 13, 3) = -.9659258262890693, (21, 14, 1) = -0.87867965644037e-1, (21, 14, 2) = -0.87867965644037e-1, (21, 14, 3) = -0.87867965644037e-1, (21, 15, 1) = -.12, (21, 15, 2) = -.12, (21, 15, 3) = -.12, (21, 16, 1) = -.9238795325112883, (21, 16, 2) = -.9238795325112883, (21, 16, 3) = -.9238795325112883, (21, 17, 1) = -0.4019237886466928e-1, (21, 17, 2) = -0.4019237886466928e-1, (21, 17, 3) = -0.4019237886466928e-1, (21, 18, 1) = -.12, (21, 18, 2) = -.12, (21, 18, 3) = -.12, (21, 19, 1) = -.8660254037844405, (21, 19, 2) = -.8660254037844405, (21, 19, 3) = -.8660254037844405, (21, 20, 1) = -0.10222252113279913e-1, (21, 20, 2) = -0.10222252113279913e-1, (21, 20, 3) = -0.10222252113279913e-1, (21, 21, 1) = -.12, (21, 21, 2) = -.12, (21, 21, 3) = -.12, (21, 22, 1) = -.7933533402912374, (21, 22, 2) = -.7933533402912374, (21, 22, 3) = -.7933533402912374, (21, 23, 1) = 0.19846705913826187e-15, (21, 23, 2) = 0.19846705913826187e-15, (21, 23, 3) = 0.19846705913826187e-15, (21, 24, 1) = -.12, (21, 24, 2) = -.12, (21, 24, 3) = -.12, (21, 25, 1) = -.7071067811865501, (21, 25, 2) = -.7071067811865501, (21, 25, 3) = -.7071067811865501, (22, 1, 1) = -0.3105828541230265e-1, (22, 1, 2) = -0.3105828541230265e-1, (22, 1, 3) = -0.3105828541230265e-1, (22, 2, 1) = -.11591109915468815, (22, 2, 2) = -.11591109915468815, (22, 2, 3) = -.11591109915468815, (22, 3, 1) = .7071067811865478, (22, 3, 2) = .7071067811865478, (22, 3, 3) = .7071067811865478, (22, 4, 1) = -0.39749008533212865e-1, (22, 4, 2) = -0.39749008533212865e-1, (22, 4, 3) = -0.39749008533212865e-1, (22, 5, 1) = -.11591109915468815, (22, 5, 2) = -.11591109915468815, (22, 5, 3) = -.11591109915468815, (22, 6, 1) = .6183940687336341, (22, 6, 2) = .6183940687336341, (22, 6, 3) = .6183940687336341, (22, 7, 1) = -0.6708964302971006e-1, (22, 7, 2) = -0.6708964302971006e-1, (22, 7, 3) = -0.6708964302971006e-1, (22, 8, 1) = -.11591109915468815, (22, 8, 2) = -.11591109915468815, (22, 8, 3) = -.11591109915468815, (22, 9, 1) = .5155291427061517, (22, 9, 2) = .5155291427061517, (22, 9, 3) = .5155291427061517, (22, 10, 1) = -.11253148947210145, (22, 10, 2) = -.11253148947210145, (22, 10, 3) = -.11253148947210145, (22, 11, 1) = -.11591109915468815, (22, 11, 2) = -.11591109915468815, (22, 11, 3) = -.11591109915468815, (22, 12, 1) = .40156007627057505, (22, 12, 2) = .40156007627057505, (22, 12, 3) = .40156007627057505, (22, 13, 1) = -.17312477723996084, (22, 13, 2) = -.17312477723996084, (22, 13, 3) = -.17312477723996084, (22, 14, 1) = -.11591109915468815, (22, 14, 2) = -.11591109915468815, (22, 14, 3) = -.11591109915468815, (22, 15, 1) = .27955215317522064, (22, 15, 2) = .27955215317522064, (22, 15, 3) = .27955215317522064, (22, 16, 1) = -.24460024145390924, (22, 16, 2) = -.24460024145390924, (22, 16, 3) = -.24460024145390924, (22, 17, 1) = -.11591109915468815, (22, 17, 2) = -.11591109915468815, (22, 17, 3) = -.11591109915468815, (22, 18, 1) = .15219955327855617, (22, 18, 2) = .15219955327855617, (22, 18, 3) = .15219955327855617, (22, 19, 1) = -.32196152422706587, (22, 19, 2) = -.32196152422706587, (22, 19, 3) = -.32196152422706587, (22, 20, 1) = -.11591109915468815, (22, 20, 2) = -.11591109915468815, (22, 20, 3) = -.11591109915468815, (22, 21, 1) = 0.21961524227067382e-1, (22, 21, 2) = 0.21961524227067382e-1, (22, 21, 3) = 0.21961524227067382e-1, (22, 22, 1) = -.3998916685154215, (22, 22, 2) = -.3998916685154215, (22, 22, 3) = -.3998916685154215, (22, 23, 1) = -.11591109915468815, (22, 23, 2) = -.11591109915468815, (22, 23, 3) = -.11591109915468815, (22, 24, 1) = -.10885283116154669, (22, 24, 2) = -.10885283116154669, (22, 24, 3) = -.10885283116154669, (22, 25, 1) = -.4731247772399605, (22, 25, 2) = -.4731247772399605, (22, 25, 3) = -.4731247772399605, (23, 1, 1) = -.11591109915468815, (23, 1, 2) = -.11591109915468815, (23, 1, 3) = -.11591109915468815, (23, 2, 1) = -.23808593702982034, (23, 2, 2) = -.23808593702982034, (23, 2, 3) = -.23808593702982034, (23, 3, 1) = -.5367955581840295, (23, 3, 2) = -.5367955581840295, (23, 3, 3) = -.5367955581840295, (23, 4, 1) = -.11591109915468815, (23, 4, 2) = -.11591109915468815, (23, 4, 3) = -.11591109915468815, (23, 5, 1) = -.36380678845960357, (23, 5, 2) = -.36380678845960357, (23, 5, 3) = -.36380678845960357, (23, 6, 1) = -.5867048853003728, (23, 6, 2) = -.5867048853003728, (23, 6, 3) = -.5867048853003728, (23, 7, 1) = -.11591109915468815, (23, 7, 2) = -.11591109915468815, (23, 7, 3) = -.11591109915468815, (23, 8, 1) = -.48447085729384726, (23, 8, 2) = -.48447085729384726, (23, 8, 3) = -.48447085729384726, (23, 9, 1) = -.6193045043066535, (23, 9, 2) = -.6193045043066535, (23, 9, 3) = -.6193045043066535, (23, 10, 1) = -.11591109915468815, (23, 10, 2) = -.11591109915468815, (23, 10, 3) = -.11591109915468815, (23, 11, 1) = -.599128789283806, (23, 11, 2) = -.599128789283806, (23, 11, 3) = -.599128789283806, (23, 12, 1) = -.6310582854123026, (23, 12, 2) = -.6310582854123026, (23, 12, 3) = -.6310582854123026, (23, 13, 1) = -.11591109915468815, (23, 13, 2) = -.11591109915468815, (23, 13, 3) = -.11591109915468815, (23, 14, 1) = -.707106781186546, (23, 14, 2) = -.707106781186546, (23, 14, 3) = -.707106781186546, (23, 15, 1) = -.6183600349266872, (23, 15, 2) = -.6183600349266872, (23, 15, 3) = -.6183600349266872, (23, 16, 1) = -.11591109915468815, (23, 16, 2) = -.11591109915468815, (23, 16, 3) = -.11591109915468815, (23, 17, 1) = -.8055052932337456, (23, 17, 2) = -.8055052932337456, (23, 17, 3) = -.8055052932337456, (23, 18, 1) = -.5817691453623988, (23, 18, 2) = -.5817691453623988, (23, 18, 3) = -.5817691453623988, (23, 19, 1) = -.11591109915468815, (23, 19, 2) = -.11591109915468815, (23, 19, 3) = -.11591109915468815, (23, 20, 1) = -.8879869280115039, (23, 20, 2) = -.8879869280115039, (23, 20, 3) = -.8879869280115039, (23, 21, 1) = -.5269146336981906, (23, 21, 2) = -.5269146336981906, (23, 21, 3) = -.5269146336981906, (23, 22, 1) = -.11591109915468815, (23, 22, 2) = -.11591109915468815, (23, 22, 3) = -.11591109915468815, (23, 23, 1) = -.9511942144504791, (23, 23, 2) = -.9511942144504791, (23, 23, 3) = -.9511942144504791, (23, 24, 1) = -.458893363730581, (23, 24, 2) = -.458893363730581, (23, 24, 3) = -.458893363730581, (23, 25, 1) = -.11591109915468815, (23, 25, 2) = -.11591109915468815, (23, 25, 3) = -.11591109915468815, (24, 1, 1) = -.9956836013118691, (24, 1, 2) = -.9956836013118691, (24, 1, 3) = -.9956836013118691, (24, 2, 1) = -.3818048384298324, (24, 2, 2) = -.3818048384298324, (24, 2, 3) = -.3818048384298324, (24, 3, 1) = -.11591109915468815, (24, 3, 2) = -.11591109915468815, (24, 3, 3) = -.11591109915468815, (24, 4, 1) = -1.0222234054073727, (24, 4, 2) = -1.0222234054073727, (24, 4, 3) = -1.0222234054073727, (24, 5, 1) = -.30000000000000177, (24, 5, 2) = -.30000000000000177, (24, 5, 3) = -.30000000000000177, (24, 6, 1) = -.11591109915468815, (24, 6, 2) = -.11591109915468815, (24, 6, 3) = -.11591109915468815, (24, 7, 1) = -1.0310582854123027, (24, 7, 2) = -1.0310582854123027, (24, 7, 3) = -1.0310582854123027, (24, 8, 1) = -.21819516157017088, (24, 8, 2) = -.21819516157017088, (24, 8, 3) = -.21819516157017088, (24, 9, 1) = -.11591109915468815, (24, 9, 2) = -.11591109915468815, (24, 9, 3) = -.11591109915468815, (24, 10, 1) = -1.0222234054073733, (24, 10, 2) = -1.0222234054073733, (24, 10, 3) = -1.0222234054073733, (24, 11, 1) = -.1411066362694221, (24, 11, 2) = -.1411066362694221, (24, 11, 3) = -.1411066362694221, (24, 12, 1) = -.11591109915468815, (24, 12, 2) = -.11591109915468815, (24, 12, 3) = -.11591109915468815, (24, 13, 1) = -.9956836013118705, (24, 13, 2) = -.9956836013118705, (24, 13, 3) = -.9956836013118705, (24, 14, 1) = -0.7308536630181206e-1, (24, 14, 2) = -0.7308536630181206e-1, (24, 14, 3) = -0.7308536630181206e-1, (24, 15, 1) = -.11591109915468815, (24, 15, 2) = -.11591109915468815, (24, 15, 3) = -.11591109915468815, (24, 16, 1) = -.9511942144504815, (24, 16, 2) = -.9511942144504815, (24, 16, 3) = -.9511942144504815, (24, 17, 1) = -0.18230854637603183e-1, (24, 17, 2) = -0.18230854637603183e-1, (24, 17, 3) = -0.18230854637603183e-1, (24, 18, 1) = -.11591109915468815, (24, 18, 2) = -.11591109915468815, (24, 18, 3) = -.11591109915468815, (24, 19, 1) = -.887986928011507, (24, 19, 2) = -.887986928011507, (24, 19, 3) = -.887986928011507, (24, 20, 1) = 0.18360034926686128e-1, (24, 20, 2) = 0.18360034926686128e-1, (24, 20, 3) = 0.18360034926686128e-1, (24, 21, 1) = -.11591109915468815, (24, 21, 2) = -.11591109915468815, (24, 21, 3) = -.11591109915468815, (24, 22, 1) = -.8055052932337494, (24, 22, 2) = -.8055052932337494, (24, 22, 3) = -.8055052932337494, (24, 23, 1) = 0.31058285412302655e-1, (24, 23, 2) = 0.31058285412302655e-1, (24, 23, 3) = 0.31058285412302655e-1, (24, 24, 1) = -.11591109915468815, (24, 24, 2) = -.11591109915468815, (24, 24, 3) = -.11591109915468815, (24, 25, 1) = -.7071067811865505, (24, 25, 2) = -.7071067811865505, (24, 25, 3) = -.7071067811865505, (25, 1, 1) = -0.600000000000001e-1, (25, 1, 2) = -0.600000000000001e-1, (25, 1, 3) = -0.600000000000001e-1, (25, 2, 1) = -.10392304845413257, (25, 2, 2) = -.10392304845413257, (25, 2, 3) = -.10392304845413257, (25, 3, 1) = .7071067811865477, (25, 3, 2) = .7071067811865477, (25, 3, 3) = .7071067811865477, (25, 4, 1) = -0.6726356529839972e-1, (25, 4, 2) = -0.6726356529839972e-1, (25, 4, 3) = -0.6726356529839972e-1, (25, 5, 1) = -.10392304845413257, (25, 5, 2) = -.10392304845413257, (25, 5, 3) = -.10392304845413257, (25, 6, 1) = .6273702599799841, (25, 6, 2) = .6273702599799841, (25, 6, 3) = .6273702599799841, (25, 7, 1) = -0.9215390309173474e-1, (25, 7, 2) = -0.9215390309173474e-1, (25, 7, 3) = -0.9215390309173474e-1, (25, 8, 1) = -.10392304845413257, (25, 8, 2) = -.10392304845413257, (25, 8, 3) = -.10392304845413257, (25, 9, 1) = .5300000000000004, (25, 9, 2) = .5300000000000004, (25, 9, 3) = .5300000000000004, (25, 10, 1) = -.13551423490968473, (25, 10, 2) = -.13551423490968473, (25, 10, 3) = -.13551423490968473, (25, 11, 1) = -.10392304845413257, (25, 11, 2) = -.10392304845413257, (25, 11, 3) = -.10392304845413257, (25, 12, 1) = .41915030808903003, (25, 12, 2) = .41915030808903003, (25, 12, 3) = .41915030808903003, (25, 13, 1) = -.19467363912651975, (25, 13, 2) = -.19467363912651975, (25, 13, 3) = -.19467363912651975, (25, 14, 1) = -.10392304845413257, (25, 14, 2) = -.10392304845413257, (25, 14, 3) = -.10392304845413257, (25, 15, 1) = .29887233419584636, (25, 15, 2) = .29887233419584636, (25, 15, 3) = .29887233419584636, (25, 16, 1) = -.2653301713695489, (25, 16, 2) = -.2653301713695489, (25, 16, 3) = -.2653301713695489, (25, 17, 1) = -.10392304845413257, (25, 17, 2) = -.10392304845413257, (25, 17, 3) = -.10392304845413257, (25, 18, 1) = .17239591059784543, (25, 18, 2) = .17239591059784543, (25, 18, 3) = .17239591059784543, (25, 19, 1) = -.34242640687119236, (25, 19, 2) = -.34242640687119236, (25, 19, 3) = -.34242640687119236, (25, 20, 1) = -.10392304845413257, (25, 20, 2) = -.10392304845413257, (25, 20, 3) = -.10392304845413257, (25, 21, 1) = 0.42426406871193874e-1, (25, 21, 2) = 0.42426406871193874e-1, (25, 21, 3) = 0.42426406871193874e-1, (25, 22, 1) = -.4206215984310611, (25, 22, 2) = -.4206215984310611, (25, 22, 3) = -.4206215984310611, (25, 23, 1) = -.10392304845413257, (25, 23, 2) = -.10392304845413257, (25, 23, 3) = -.10392304845413257, (25, 24, 1) = -0.8865647384225742e-1, (25, 24, 2) = -0.8865647384225742e-1, (25, 24, 3) = -0.8865647384225742e-1, (25, 25, 1) = -.4946736391265194, (25, 25, 2) = -.4946736391265194, (25, 25, 3) = -.4946736391265194}, datatype = float[8], order = C_order)))

(3)

r := cos(v)*sin(v)-a-1/2

cos(v)*sin(v)-.7000000000

(4)

A2 := c*sin(u)*r; B2 := -c*cos(u)*r; C2 := cos(v)

cos(v)

(5)

``

bulb := plot3d([A2, B2, C2], u = (1/2)*Pi .. 5*Pi*(1/2), v = 5*Pi*(1/4) .. 9*Pi*(1/4))

PLOT3D(MESH(Array(1..25, 1..25, 1..3, {(1, 1, 1) = -.11999999999999997, (1, 1, 2) = -.11999999999999997, (1, 1, 3) = -.11999999999999997, (1, 2, 1) = -0.41897776066117584e-15, (1, 2, 2) = -0.41897776066117584e-15, (1, 2, 3) = -0.41897776066117584e-15, (1, 3, 1) = -.7071067811865486, (1, 3, 2) = -.7071067811865486, (1, 3, 3) = -.7071067811865486, (1, 4, 1) = -.13022225211327929, (1, 4, 2) = -.13022225211327929, (1, 4, 3) = -.13022225211327929, (1, 5, 1) = -0.4546685631556404e-15, (1, 5, 2) = -0.4546685631556404e-15, (1, 5, 3) = -0.4546685631556404e-15, (1, 6, 1) = -.6087614290087217, (1, 6, 2) = -.6087614290087217, (1, 6, 3) = -.6087614290087217, (1, 7, 1) = -.16019237886466794, (1, 7, 2) = -.16019237886466794, (1, 7, 3) = -.16019237886466794, (1, 8, 1) = -0.5593087014308774e-15, (1, 8, 2) = -0.5593087014308774e-15, (1, 8, 3) = -0.5593087014308774e-15, (1, 9, 1) = -.5000000000000012, (1, 9, 2) = -.5000000000000012, (1, 9, 3) = -.5000000000000012, (1, 10, 1) = -.20786796564403506, (1, 10, 2) = -.20786796564403506, (1, 10, 3) = -.20786796564403506, (1, 11, 1) = -0.725767122989434e-15, (1, 11, 2) = -0.725767122989434e-15, (1, 11, 3) = -0.725767122989434e-15, (1, 12, 1) = -.38268343236509117, (1, 12, 2) = -.38268343236509117, (1, 12, 3) = -.38268343236509117, (1, 13, 1) = -.2699999999999991, (1, 13, 2) = -.2699999999999991, (1, 13, 3) = -.2699999999999991, (1, 14, 1) = -0.9426999614876429e-15, (1, 14, 2) = -0.9426999614876429e-15, (1, 14, 3) = -0.9426999614876429e-15, (1, 15, 1) = -.25881904510252235, (1, 15, 2) = -.25881904510252235, (1, 15, 3) = -.25881904510252235, (1, 16, 1) = -.34235428646924265, (1, 16, 2) = -.34235428646924265, (1, 16, 3) = -.34235428646924265, (1, 17, 1) = -0.11953236024803171e-14, (1, 17, 2) = -0.11953236024803171e-14, (1, 17, 3) = -0.11953236024803171e-14, (1, 18, 1) = -.1305261922200534, (1, 18, 2) = -.1305261922200534, (1, 18, 3) = -.1305261922200534, (1, 19, 1) = -.41999999999999876, (1, 19, 2) = -.41999999999999876, (1, 19, 3) = -.41999999999999876, (1, 20, 1) = -0.14664221623141117e-14, (1, 20, 2) = -0.14664221623141117e-14, (1, 20, 3) = -0.14664221623141117e-14, (1, 21, 1) = -0.1960053859272353e-14, (1, 21, 2) = -0.1960053859272353e-14, (1, 21, 3) = -0.1960053859272353e-14, (1, 22, 1) = -.497645713530755, (1, 22, 2) = -.497645713530755, (1, 22, 3) = -.497645713530755, (1, 23, 1) = -0.17375207221479067e-14, (1, 23, 2) = -0.17375207221479067e-14, (1, 23, 3) = -0.17375207221479067e-14, (1, 24, 1) = .1305261922200495, (1, 24, 2) = .1305261922200495, (1, 24, 3) = .1305261922200495, (1, 25, 1) = -.5699999999999987, (1, 25, 2) = -.5699999999999987, (1, 25, 3) = -.5699999999999987, (2, 1, 1) = -0.19901443631405815e-14, (2, 1, 2) = -0.19901443631405815e-14, (2, 1, 3) = -0.19901443631405815e-14, (2, 2, 1) = .2588190451025186, (2, 2, 2) = .2588190451025186, (2, 2, 3) = .2588190451025186, (2, 3, 1) = -.6321320343559632, (2, 3, 2) = -.6321320343559632, (2, 3, 3) = -.6321320343559632, (2, 4, 1) = -0.2207077201638792e-14, (2, 4, 2) = -0.2207077201638792e-14, (2, 4, 3) = -0.2207077201638792e-14, (2, 5, 1) = .38268343236508756, (2, 5, 2) = .38268343236508756, (2, 5, 3) = .38268343236508756, (2, 6, 1) = -.6798076211353308, (2, 6, 2) = -.6798076211353308, (2, 6, 3) = -.6798076211353308, (2, 7, 1) = -0.237353562319735e-14, (2, 7, 2) = -0.237353562319735e-14, (2, 7, 3) = -0.237353562319735e-14, (2, 8, 1) = .4999999999999977, (2, 8, 2) = .4999999999999977, (2, 8, 3) = .4999999999999977, (2, 9, 1) = -.70977774788672, (2, 9, 2) = -.70977774788672, (2, 9, 3) = -.70977774788672, (2, 10, 1) = -0.24781757614725895e-14, (2, 10, 2) = -0.24781757614725895e-14, (2, 10, 3) = -0.24781757614725895e-14, (2, 11, 1) = .6087614290087184, (2, 11, 2) = .6087614290087184, (2, 11, 3) = .6087614290087184, (2, 12, 1) = -.72, (2, 12, 2) = -.72, (2, 12, 3) = -.72, (2, 13, 1) = -0.2513866563967056e-14, (2, 13, 2) = -0.2513866563967056e-14, (2, 13, 3) = -0.2513866563967056e-14, (2, 14, 1) = .7071067811865455, (2, 14, 2) = .7071067811865455, (2, 14, 3) = .7071067811865455, (2, 15, 1) = -.709777747886721, (2, 15, 2) = -.709777747886721, (2, 15, 3) = -.709777747886721, (2, 16, 1) = -0.24781757614725926e-14, (2, 16, 2) = -0.24781757614725926e-14, (2, 16, 3) = -0.24781757614725926e-14, (2, 17, 1) = .7933533402912334, (2, 17, 2) = .7933533402912334, (2, 17, 3) = .7933533402912334, (2, 18, 1) = -.6798076211353326, (2, 18, 2) = -.6798076211353326, (2, 18, 3) = -.6798076211353326, (2, 19, 1) = -0.23735356231973565e-14, (2, 19, 2) = -0.23735356231973565e-14, (2, 19, 3) = -0.23735356231973565e-14, (2, 20, 1) = .866025403784437, (2, 20, 2) = .866025403784437, (2, 20, 3) = .866025403784437, (2, 21, 1) = -.6321320343559657, (2, 21, 2) = -.6321320343559657, (2, 21, 3) = -.6321320343559657, (2, 22, 1) = -0.22070772016388006e-14, (2, 22, 2) = -0.22070772016388006e-14, (2, 22, 3) = -0.22070772016388006e-14, (2, 23, 1) = .9238795325112855, (2, 23, 2) = .9238795325112855, (2, 23, 3) = .9238795325112855, (2, 24, 1) = -.5700000000000018, (2, 24, 2) = -.5700000000000018, (2, 24, 3) = -.5700000000000018, (2, 25, 1) = -0.1990144363140592e-14, (2, 25, 2) = -0.1990144363140592e-14, (2, 25, 3) = -0.1990144363140592e-14, (3, 1, 1) = .9659258262890674, (3, 1, 2) = .9659258262890674, (3, 1, 3) = .9659258262890674, (3, 2, 1) = -.4976457135307583, (3, 2, 2) = -.4976457135307583, (3, 2, 3) = -.4976457135307583, (3, 3, 1) = -0.17375207221479183e-14, (3, 3, 2) = -0.17375207221479183e-14, (3, 3, 3) = -0.17375207221479183e-14, (3, 4, 1) = .9914448613738099, (3, 4, 2) = .9914448613738099, (3, 4, 3) = .9914448613738099, (3, 5, 1) = -.4200000000000022, (3, 5, 2) = -.4200000000000022, (3, 5, 3) = -.4200000000000022, (3, 6, 1) = -0.14664221623141237e-14, (3, 6, 2) = -0.14664221623141237e-14, (3, 6, 3) = -0.14664221623141237e-14, (3, 7, 1) = 1.0, (3, 7, 2) = 1.0, (3, 7, 3) = 1.0, (3, 8, 1) = -.342354286469246, (3, 8, 2) = -.342354286469246, (3, 8, 3) = -.342354286469246, (3, 9, 1) = -0.11953236024803288e-14, (3, 9, 2) = -0.11953236024803288e-14, (3, 9, 3) = -0.11953236024803288e-14, (3, 10, 1) = .9914448613738109, (3, 10, 2) = .9914448613738109, (3, 10, 3) = .9914448613738109, (3, 11, 1) = -.27000000000000207, (3, 11, 2) = -.27000000000000207, (3, 11, 3) = -.27000000000000207, (3, 12, 1) = -0.9426999614876533e-15, (3, 12, 2) = -0.9426999614876533e-15, (3, 12, 3) = -0.9426999614876533e-15, (3, 13, 1) = .9659258262890694, (3, 13, 2) = .9659258262890694, (3, 13, 3) = .9659258262890694, (3, 14, 1) = -.20786796564403753, (3, 14, 2) = -.20786796564403753, (3, 14, 3) = -.20786796564403753, (3, 15, 1) = -0.7257671229894425e-15, (3, 15, 2) = -0.7257671229894425e-15, (3, 15, 3) = -0.7257671229894425e-15, (3, 16, 1) = .9238795325112884, (3, 16, 2) = .9238795325112884, (3, 16, 3) = .9238795325112884, (3, 17, 1) = -.1601923788646697, (3, 17, 2) = -.1601923788646697, (3, 17, 3) = -.1601923788646697, (3, 18, 1) = -0.5593087014308834e-15, (3, 18, 2) = -0.5593087014308834e-15, (3, 18, 3) = -0.5593087014308834e-15, (3, 19, 1) = .8660254037844408, (3, 19, 2) = .8660254037844408, (3, 19, 3) = .8660254037844408, (3, 20, 1) = -.1302222521132802, (3, 20, 2) = -.1302222521132802, (3, 20, 3) = -.1302222521132802, (3, 21, 1) = -0.4546685631556436e-15, (3, 21, 2) = -0.4546685631556436e-15, (3, 21, 3) = -0.4546685631556436e-15, (3, 22, 1) = .7933533402912379, (3, 22, 2) = .7933533402912379, (3, 22, 3) = .7933533402912379, (3, 23, 1) = -.11999999999999997, (3, 23, 2) = -.11999999999999997, (3, 23, 3) = -.11999999999999997, (3, 24, 1) = -0.41897776066117584e-15, (3, 24, 2) = -0.41897776066117584e-15, (3, 24, 3) = -0.41897776066117584e-15, (3, 25, 1) = .7071067811865508, (3, 25, 2) = .7071067811865508, (3, 25, 3) = .7071067811865508, (4, 1, 1) = -.11591109915468806, (4, 1, 2) = -.11591109915468806, (4, 1, 3) = -.11591109915468806, (4, 2, 1) = -0.31058285412302853e-1, (4, 2, 2) = -0.31058285412302853e-1, (4, 2, 3) = -0.31058285412302853e-1, (4, 3, 1) = -.7071067811865486, (4, 3, 2) = -.7071067811865486, (4, 3, 3) = -.7071067811865486, (4, 4, 1) = -.12578503647374253, (4, 4, 2) = -.12578503647374253, (4, 4, 3) = -.12578503647374253, (4, 5, 1) = -0.3370399894305906e-1, (4, 5, 2) = -0.3370399894305906e-1, (4, 5, 3) = -0.3370399894305906e-1, (4, 6, 1) = -.6087614290087217, (4, 6, 2) = -.6087614290087217, (4, 6, 3) = -.6087614290087217, (4, 7, 1) = -.15473395592006572, (4, 7, 2) = -.15473395592006572, (4, 7, 3) = -.15473395592006572, (4, 8, 1) = -0.4146083853045508e-1, (4, 8, 2) = -0.4146083853045508e-1, (4, 8, 3) = -0.4146083853045508e-1, (4, 9, 1) = -.5000000000000012, (4, 9, 2) = -.5000000000000012, (4, 9, 3) = -.5000000000000012, (4, 10, 1) = -.20078503647374205, (4, 10, 2) = -.20078503647374205, (4, 10, 3) = -.20078503647374205, (4, 11, 1) = -0.5380018837539339e-1, (4, 11, 2) = -0.5380018837539339e-1, (4, 11, 3) = -0.5380018837539339e-1, (4, 12, 1) = -.38268343236509117, (4, 12, 2) = -.38268343236509117, (4, 12, 3) = -.38268343236509117, (4, 13, 1) = -.26079997309804737, (4, 13, 2) = -.26079997309804737, (4, 13, 3) = -.26079997309804737, (4, 14, 1) = -0.6988114217768121e-1, (4, 14, 2) = -0.6988114217768121e-1, (4, 14, 3) = -0.6988114217768121e-1, (4, 15, 1) = -.25881904510252235, (4, 15, 2) = -.25881904510252235, (4, 15, 3) = -.25881904510252235, (4, 16, 1) = -.33068884704140733, (4, 16, 2) = -.33068884704140733, (4, 16, 3) = -.33068884704140733, (4, 17, 1) = -0.8860780951072529e-1, (4, 17, 2) = -0.8860780951072529e-1, (4, 17, 3) = -0.8860780951072529e-1, (4, 18, 1) = -.1305261922200534, (4, 18, 2) = -.1305261922200534, (4, 18, 3) = -.1305261922200534, (4, 19, 1) = -.4056888470414071, (4, 19, 2) = -.4056888470414071, (4, 19, 3) = -.4056888470414071, (4, 20, 1) = -.1087039989430597, (4, 20, 2) = -.1087039989430597, (4, 20, 3) = -.1087039989430597, (4, 21, 1) = -0.1960053859272353e-14, (4, 21, 2) = -0.1960053859272353e-14, (4, 21, 3) = -0.1960053859272353e-14, (4, 22, 1) = -.4806888470414071, (4, 22, 2) = -.4806888470414071, (4, 22, 3) = -.4806888470414071, (4, 23, 1) = -.12880018837539414, (4, 23, 2) = -.12880018837539414, (4, 23, 3) = -.12880018837539414, (4, 24, 1) = .1305261922200495, (4, 24, 2) = .1305261922200495, (4, 24, 3) = .1305261922200495, (4, 25, 1) = -.5505777209847672, (4, 25, 2) = -.5505777209847672, (4, 25, 3) = -.5505777209847672, (5, 1, 1) = -.14752685570843826, (5, 1, 2) = -.14752685570843826, (5, 1, 3) = -.14752685570843826, (5, 2, 1) = .2588190451025186, (5, 2, 2) = .2588190451025186, (5, 2, 3) = .2588190451025186, (5, 3, 1) = -.610592657609073, (5, 3, 2) = -.610592657609073, (5, 3, 3) = -.610592657609073, (5, 4, 1) = -.1636078095107262, (5, 4, 2) = -.1636078095107262, (5, 4, 3) = -.1636078095107262, (5, 5, 1) = .38268343236508756, (5, 5, 2) = .38268343236508756, (5, 5, 3) = .38268343236508756, (5, 6, 1) = -.6566437381627498, (5, 6, 2) = -.6566437381627498, (5, 6, 3) = -.6566437381627498, (5, 7, 1) = -.1759471593556646, (5, 7, 2) = -.1759471593556646, (5, 7, 3) = -.1759471593556646, (5, 8, 1) = .4999999999999977, (5, 8, 2) = .4999999999999977, (5, 8, 3) = .4999999999999977, (5, 9, 1) = -.6855926576090734, (5, 9, 2) = -.6855926576090734, (5, 9, 3) = -.6855926576090734, (5, 10, 1) = -.1837039989430608, (5, 10, 2) = -.1837039989430608, (5, 10, 3) = -.1837039989430608, (5, 11, 1) = .6087614290087184, (5, 11, 2) = .6087614290087184, (5, 11, 3) = .6087614290087184, (5, 12, 1) = -.6954665949281286, (5, 12, 2) = -.6954665949281286, (5, 12, 3) = -.6954665949281286, (5, 13, 1) = -.18634971247381715, (5, 13, 2) = -.18634971247381715, (5, 13, 3) = -.18634971247381715, (5, 14, 1) = .7071067811865455, (5, 14, 2) = .7071067811865455, (5, 14, 3) = .7071067811865455, (5, 15, 1) = -.6855926576090744, (5, 15, 2) = -.6855926576090744, (5, 15, 3) = -.6855926576090744, (5, 16, 1) = -.18370399894306103, (5, 16, 2) = -.18370399894306103, (5, 16, 3) = -.18370399894306103, (5, 17, 1) = .7933533402912334, (5, 17, 2) = .7933533402912334, (5, 17, 3) = .7933533402912334, (5, 18, 1) = -.6566437381627513, (5, 18, 2) = -.6566437381627513, (5, 18, 3) = -.6566437381627513, (5, 19, 1) = -.17594715935566507, (5, 19, 2) = -.17594715935566507, (5, 19, 3) = -.17594715935566507, (5, 20, 1) = .866025403784437, (5, 20, 2) = .866025403784437, (5, 20, 3) = .866025403784437, (5, 21, 1) = -.6105926576090753, (5, 21, 2) = -.6105926576090753, (5, 21, 3) = -.6105926576090753, (5, 22, 1) = -.16360780951072681, (5, 22, 2) = -.16360780951072681, (5, 22, 3) = -.16360780951072681, (5, 23, 1) = .9238795325112855, (5, 23, 2) = .9238795325112855, (5, 23, 3) = .9238795325112855, (5, 24, 1) = -.5505777209847702, (5, 24, 2) = -.5505777209847702, (5, 24, 3) = -.5505777209847702, (5, 25, 1) = -.14752685570843907, (5, 25, 2) = -.14752685570843907, (5, 25, 3) = -.14752685570843907, (6, 1, 1) = .9659258262890674, (6, 1, 2) = .9659258262890674, (6, 1, 3) = .9659258262890674, (6, 2, 1) = -.48068884704141024, (6, 2, 2) = -.48068884704141024, (6, 2, 3) = -.48068884704141024, (6, 3, 1) = -.128800188375395, (6, 3, 2) = -.128800188375395, (6, 3, 3) = -.128800188375395, (6, 4, 1) = .9914448613738099, (6, 4, 2) = .9914448613738099, (6, 4, 3) = .9914448613738099, (6, 5, 1) = -.40568884704141045, (6, 5, 2) = -.40568884704141045, (6, 5, 3) = -.40568884704141045, (6, 6, 1) = -.10870399894306058, (6, 6, 2) = -.10870399894306058, (6, 6, 3) = -.10870399894306058, (6, 7, 1) = 1.0, (6, 7, 2) = 1.0, (6, 7, 3) = 1.0, (6, 8, 1) = -.33068884704141055, (6, 8, 2) = -.33068884704141055, (6, 8, 3) = -.33068884704141055, (6, 9, 1) = -0.8860780951072615e-1, (6, 9, 2) = -0.8860780951072615e-1, (6, 9, 3) = -0.8860780951072615e-1, (6, 10, 1) = .9914448613738109, (6, 10, 2) = .9914448613738109, (6, 10, 3) = .9914448613738109, (6, 11, 1) = -.26079997309805025, (6, 11, 2) = -.26079997309805025, (6, 11, 3) = -.26079997309805025, (6, 12, 1) = -0.6988114217768197e-1, (6, 12, 2) = -0.6988114217768197e-1, (6, 12, 3) = -0.6988114217768197e-1, (6, 13, 1) = .9659258262890694, (6, 13, 2) = .9659258262890694, (6, 13, 3) = .9659258262890694, (6, 14, 1) = -.20078503647374443, (6, 14, 2) = -.20078503647374443, (6, 14, 3) = -.20078503647374443, (6, 15, 1) = -0.5380018837539403e-1, (6, 15, 2) = -0.5380018837539403e-1, (6, 15, 3) = -0.5380018837539403e-1, (6, 16, 1) = .9238795325112884, (6, 16, 2) = .9238795325112884, (6, 16, 3) = .9238795325112884, (6, 17, 1) = -.1547339559200674, (6, 17, 2) = -.1547339559200674, (6, 17, 3) = -.1547339559200674, (6, 18, 1) = -0.41460838530455534e-1, (6, 18, 2) = -0.41460838530455534e-1, (6, 18, 3) = -0.41460838530455534e-1, (6, 19, 1) = .8660254037844408, (6, 19, 2) = .8660254037844408, (6, 19, 3) = .8660254037844408, (6, 20, 1) = -.12578503647374345, (6, 20, 2) = -.12578503647374345, (6, 20, 3) = -.12578503647374345, (6, 21, 1) = -0.337039989430593e-1, (6, 21, 2) = -0.337039989430593e-1, (6, 21, 3) = -0.337039989430593e-1, (6, 22, 1) = .7933533402912379, (6, 22, 2) = .7933533402912379, (6, 22, 3) = .7933533402912379, (6, 23, 1) = -.11591109915468806, (6, 23, 2) = -.11591109915468806, (6, 23, 3) = -.11591109915468806, (6, 24, 1) = -0.31058285412302853e-1, (6, 24, 2) = -0.31058285412302853e-1, (6, 24, 3) = -0.31058285412302853e-1, (6, 25, 1) = .7071067811865508, (6, 25, 2) = .7071067811865508, (6, 25, 3) = .7071067811865508, (7, 1, 1) = -.10392304845413246, (7, 1, 2) = -.10392304845413246, (7, 1, 3) = -.10392304845413246, (7, 2, 1) = -0.60000000000000275e-1, (7, 2, 2) = -0.60000000000000275e-1, (7, 2, 3) = -0.60000000000000275e-1, (7, 3, 1) = -.7071067811865486, (7, 3, 2) = -.7071067811865486, (7, 3, 3) = -.7071067811865486, (7, 4, 1) = -.11277577846812148, (7, 4, 2) = -.11277577846812148, (7, 4, 3) = -.11277577846812148, (7, 5, 1) = -0.6511112605663995e-1, (7, 5, 2) = -0.6511112605663995e-1, (7, 5, 3) = -0.6511112605663995e-1, (7, 6, 1) = -.6087614290087217, (7, 6, 2) = -.6087614290087217, (7, 6, 3) = -.6087614290087217, (7, 7, 1) = -.13873066958946362, (7, 7, 2) = -.13873066958946362, (7, 7, 3) = -.13873066958946362, (7, 8, 1) = -0.8009618943233436e-1, (7, 8, 2) = -0.8009618943233436e-1, (7, 8, 3) = -0.8009618943233436e-1, (7, 9, 1) = -.5000000000000012, (7, 9, 2) = -.5000000000000012, (7, 9, 3) = -.5000000000000012, (7, 10, 1) = -.180018938880725, (7, 10, 2) = -.180018938880725, (7, 10, 3) = -.180018938880725, (7, 11, 1) = -.10393398282201803, (7, 11, 2) = -.10393398282201803, (7, 11, 3) = -.10393398282201803, (7, 12, 1) = -.38268343236509117, (7, 12, 2) = -.38268343236509117, (7, 12, 3) = -.38268343236509117, (7, 13, 1) = -.23382685902179728, (7, 13, 2) = -.23382685902179728, (7, 13, 3) = -.23382685902179728, (7, 14, 1) = -.1350000000000002, (7, 14, 2) = -.1350000000000002, (7, 14, 3) = -.1350000000000002, (7, 15, 1) = -.25881904510252235, (7, 15, 2) = -.25881904510252235, (7, 15, 3) = -.25881904510252235, (7, 16, 1) = -.2964875091768588, (7, 16, 2) = -.2964875091768588, (7, 16, 3) = -.2964875091768588, (7, 17, 1) = -.17117714323462216, (7, 17, 2) = -.17117714323462216, (7, 17, 3) = -.17117714323462216, (7, 18, 1) = -.1305261922200534, (7, 18, 2) = -.1305261922200534, (7, 18, 3) = -.1305261922200534, (7, 19, 1) = -.3637306695894626, (7, 19, 2) = -.3637306695894626, (7, 19, 3) = -.3637306695894626, (7, 20, 1) = -.2100000000000004, (7, 20, 2) = -.2100000000000004, (7, 20, 3) = -.2100000000000004, (7, 21, 1) = -0.1960053859272353e-14, (7, 21, 2) = -0.1960053859272353e-14, (7, 21, 3) = -0.1960053859272353e-14, (7, 22, 1) = -.43097383000206646, (7, 22, 2) = -.43097383000206646, (7, 22, 3) = -.43097383000206646, (7, 23, 1) = -.24882285676537869, (7, 23, 2) = -.24882285676537869, (7, 23, 3) = -.24882285676537869, (7, 24, 1) = .1305261922200495, (7, 24, 2) = .1305261922200495, (7, 24, 3) = .1305261922200495, (7, 25, 1) = -.4936344801571282, (7, 25, 2) = -.4936344801571282, (7, 25, 3) = -.4936344801571282, (8, 1, 1) = -.28500000000000075, (8, 1, 2) = -.28500000000000075, (8, 1, 3) = -.28500000000000075, (8, 2, 1) = .2588190451025186, (8, 2, 2) = .2588190451025186, (8, 2, 3) = .2588190451025186, (8, 3, 1) = -.5474424002982008, (8, 3, 2) = -.5474424002982008, (8, 3, 3) = -.5474424002982008, (8, 4, 1) = -.31606601717798316, (8, 4, 2) = -.31606601717798316, (8, 4, 3) = -.31606601717798316, (8, 5, 1) = .38268343236508756, (8, 5, 2) = .38268343236508756, (8, 5, 3) = .38268343236508756, (8, 6, 1) = -.5887306695894626, (8, 6, 2) = -.5887306695894626, (8, 6, 3) = -.5887306695894626, (8, 7, 1) = -.33990381056766705, (8, 7, 2) = -.33990381056766705, (8, 7, 3) = -.33990381056766705, (8, 8, 1) = .4999999999999977, (8, 8, 2) = .4999999999999977, (8, 8, 3) = .4999999999999977, (8, 9, 1) = -.6146855607108053, (8, 9, 2) = -.6146855607108053, (8, 9, 3) = -.6146855607108053, (8, 10, 1) = -.3548888739433617, (8, 10, 2) = -.3548888739433617, (8, 10, 3) = -.3548888739433617, (8, 11, 1) = .6087614290087184, (8, 11, 2) = .6087614290087184, (8, 11, 3) = .6087614290087184, (8, 12, 1) = -.6235382907247948, (8, 12, 2) = -.6235382907247948, (8, 12, 3) = -.6235382907247948, (8, 13, 1) = -.3600000000000017, (8, 13, 2) = -.3600000000000017, (8, 13, 3) = -.3600000000000017, (8, 14, 1) = .7071067811865455, (8, 14, 2) = .7071067811865455, (8, 14, 3) = .7071067811865455, (8, 15, 1) = -.614685560710806, (8, 15, 2) = -.614685560710806, (8, 15, 3) = -.614685560710806, (8, 16, 1) = -.3548888739433622, (8, 16, 2) = -.3548888739433622, (8, 16, 3) = -.3548888739433622, (8, 17, 1) = .7933533402912334, (8, 17, 2) = .7933533402912334, (8, 17, 3) = .7933533402912334, (8, 18, 1) = -.5887306695894641, (8, 18, 2) = -.5887306695894641, (8, 18, 3) = -.5887306695894641, (8, 19, 1) = -.33990381056766794, (8, 19, 2) = -.33990381056766794, (8, 19, 3) = -.33990381056766794, (8, 20, 1) = .866025403784437, (8, 20, 2) = .866025403784437, (8, 20, 3) = .866025403784437, (8, 21, 1) = -.5474424002982029, (8, 21, 2) = -.5474424002982029, (8, 21, 3) = -.5474424002982029, (8, 22, 1) = -.3160660171779844, (8, 22, 2) = -.3160660171779844, (8, 22, 3) = -.3160660171779844, (8, 23, 1) = .9238795325112855, (8, 23, 2) = .9238795325112855, (8, 23, 3) = .9238795325112855, (8, 24, 1) = -.4936344801571308, (8, 24, 2) = -.4936344801571308, (8, 24, 3) = -.4936344801571308, (8, 25, 1) = -.2850000000000023, (8, 25, 2) = -.2850000000000023, (8, 25, 3) = -.2850000000000023, (9, 1, 1) = .9659258262890674, (9, 1, 2) = .9659258262890674, (9, 1, 3) = .9659258262890674, (9, 2, 1) = -.4309738300020694, (9, 2, 2) = -.4309738300020694, (9, 2, 3) = -.4309738300020694, (9, 3, 1) = -.24882285676538035, (9, 3, 2) = -.24882285676538035, (9, 3, 3) = -.24882285676538035, (9, 4, 1) = .9914448613738099, (9, 4, 2) = .9914448613738099, (9, 4, 3) = .9914448613738099, (9, 5, 1) = -.3637306695894656, (9, 5, 2) = -.3637306695894656, (9, 5, 3) = -.3637306695894656, (9, 6, 1) = -.21000000000000216, (9, 6, 2) = -.21000000000000216, (9, 6, 3) = -.21000000000000216, (9, 7, 1) = 1.0, (9, 7, 2) = 1.0, (9, 7, 3) = 1.0, (9, 8, 1) = -.2964875091768617, (9, 8, 2) = -.2964875091768617, (9, 8, 3) = -.2964875091768617, (9, 9, 1) = -.17117714323462382, (9, 9, 2) = -.17117714323462382, (9, 9, 3) = -.17117714323462382, (9, 10, 1) = .9914448613738109, (9, 10, 2) = .9914448613738109, (9, 10, 3) = .9914448613738109, (9, 11, 1) = -.2338268590217999, (9, 11, 2) = -.2338268590217999, (9, 11, 3) = -.2338268590217999, (9, 12, 1) = -.1350000000000017, (9, 12, 2) = -.1350000000000017, (9, 12, 3) = -.1350000000000017, (9, 13, 1) = .9659258262890694, (9, 13, 2) = .9659258262890694, (9, 13, 3) = .9659258262890694, (9, 14, 1) = -.18001893888072715, (9, 14, 2) = -.18001893888072715, (9, 14, 3) = -.18001893888072715, (9, 15, 1) = -.10393398282201927, (9, 15, 2) = -.10393398282201927, (9, 15, 3) = -.10393398282201927, (9, 16, 1) = .9238795325112884, (9, 16, 2) = .9238795325112884, (9, 16, 3) = .9238795325112884, (9, 17, 1) = -.13873066958946512, (9, 17, 2) = -.13873066958946512, (9, 17, 3) = -.13873066958946512, (9, 18, 1) = -0.8009618943233522e-1, (9, 18, 2) = -0.8009618943233522e-1, (9, 18, 3) = -0.8009618943233522e-1, (9, 19, 1) = .8660254037844408, (9, 19, 2) = .8660254037844408, (9, 19, 3) = .8660254037844408, (9, 20, 1) = -.11277577846812228, (9, 20, 2) = -.11277577846812228, (9, 20, 3) = -.11277577846812228, (9, 21, 1) = -0.6511112605664042e-1, (9, 21, 2) = -0.6511112605664042e-1, (9, 21, 3) = -0.6511112605664042e-1, (9, 22, 1) = .7933533402912379, (9, 22, 2) = .7933533402912379, (9, 22, 3) = .7933533402912379, (9, 23, 1) = -.10392304845413246, (9, 23, 2) = -.10392304845413246, (9, 23, 3) = -.10392304845413246, (9, 24, 1) = -0.60000000000000275e-1, (9, 24, 2) = -0.60000000000000275e-1, (9, 24, 3) = -0.60000000000000275e-1, (9, 25, 1) = .7071067811865508, (9, 25, 2) = .7071067811865508, (9, 25, 3) = .7071067811865508, (10, 1, 1) = -0.8485281374238547e-1, (10, 1, 2) = -0.8485281374238547e-1, (10, 1, 3) = -0.8485281374238547e-1, (10, 2, 1) = -0.848528137423859e-1, (10, 2, 2) = -0.848528137423859e-1, (10, 2, 3) = -0.848528137423859e-1, (10, 3, 1) = -.7071067811865486, (10, 3, 2) = -.7071067811865486, (10, 3, 3) = -.7071067811865486, (10, 4, 1) = -0.9208103753068375e-1, (10, 4, 2) = -0.9208103753068375e-1, (10, 4, 3) = -0.9208103753068375e-1, (10, 5, 1) = -0.9208103753068424e-1, (10, 5, 2) = -0.9208103753068424e-1, (10, 5, 3) = -0.9208103753068424e-1, (10, 6, 1) = -.6087614290087217, (10, 6, 2) = -.6087614290087217, (10, 6, 3) = -.6087614290087217, (10, 7, 1) = -.11327311738961099, (10, 7, 2) = -.11327311738961099, (10, 7, 3) = -.11327311738961099, (10, 8, 1) = -.11327311738961157, (10, 8, 2) = -.11327311738961157, (10, 8, 3) = -.11327311738961157, (10, 9, 1) = -.5000000000000012, (10, 9, 2) = -.5000000000000012, (10, 9, 3) = -.5000000000000012, (10, 10, 1) = -.1469848480983491, (10, 10, 2) = -.1469848480983491, (10, 10, 3) = -.1469848480983491, (10, 11, 1) = -.14698484809834986, (10, 11, 2) = -.14698484809834986, (10, 11, 3) = -.14698484809834986, (10, 12, 1) = -.38268343236509117, (10, 12, 2) = -.38268343236509117, (10, 12, 3) = -.38268343236509117, (10, 13, 1) = -.19091883092036668, (10, 13, 2) = -.19091883092036668, (10, 13, 3) = -.19091883092036668, (10, 14, 1) = -.19091883092036768, (10, 14, 2) = -.19091883092036768, (10, 14, 3) = -.19091883092036768, (10, 15, 1) = -.25881904510252235, (10, 15, 2) = -.25881904510252235, (10, 15, 3) = -.25881904510252235, (10, 16, 1) = -.24208103753068275, (10, 16, 2) = -.24208103753068275, (10, 16, 3) = -.24208103753068275, (10, 17, 1) = -.242081037530684, (10, 17, 2) = -.242081037530684, (10, 17, 3) = -.242081037530684, (10, 18, 1) = -.1305261922200534, (10, 18, 2) = -.1305261922200534, (10, 18, 3) = -.1305261922200534, (10, 19, 1) = -.2969848480983483, (10, 19, 2) = -.2969848480983483, (10, 19, 3) = -.2969848480983483, (10, 20, 1) = -.29698484809834985, (10, 20, 2) = -.29698484809834985, (10, 20, 3) = -.29698484809834985, (10, 21, 1) = -0.1960053859272353e-14, (10, 21, 2) = -0.1960053859272353e-14, (10, 21, 3) = -0.1960053859272353e-14, (10, 22, 1) = -.351888658666014, (10, 22, 2) = -.351888658666014, (10, 22, 3) = -.351888658666014, (10, 23, 1) = -.35188865866601576, (10, 23, 2) = -.35188865866601576, (10, 23, 3) = -.35188865866601576, (10, 24, 1) = .1305261922200495, (10, 24, 2) = .1305261922200495, (10, 24, 3) = .1305261922200495, (10, 25, 1) = -.40305086527633016, (10, 25, 2) = -.40305086527633016, (10, 25, 3) = -.40305086527633016, (11, 1, 1) = -.40305086527633227, (11, 1, 2) = -.40305086527633227, (11, 1, 3) = -.40305086527633227, (11, 2, 1) = .2588190451025186, (11, 2, 2) = .2588190451025186, (11, 2, 3) = .2588190451025186, (11, 3, 1) = -.4469848480983481, (11, 3, 2) = -.4469848480983481, (11, 3, 3) = -.4469848480983481, (11, 4, 1) = -.44698484809835043, (11, 4, 2) = -.44698484809835043, (11, 4, 3) = -.44698484809835043, (11, 5, 1) = .38268343236508756, (11, 5, 2) = .38268343236508756, (11, 5, 3) = .38268343236508756, (11, 6, 1) = -.4806965788070865, (11, 6, 2) = -.4806965788070865, (11, 6, 3) = -.4806965788070865, (11, 7, 1) = -.48069657880708894, (11, 7, 2) = -.48069657880708894, (11, 7, 3) = -.48069657880708894, (11, 8, 1) = .4999999999999977, (11, 8, 2) = .4999999999999977, (11, 8, 3) = .4999999999999977, (11, 9, 1) = -.5018886586660141, (11, 9, 2) = -.5018886586660141, (11, 9, 3) = -.5018886586660141, (11, 10, 1) = -.5018886586660167, (11, 10, 2) = -.5018886586660167, (11, 10, 3) = -.5018886586660167, (11, 11, 1) = .6087614290087184, (11, 11, 2) = .6087614290087184, (11, 11, 3) = .6087614290087184, (11, 12, 1) = -.5091168824543129, (11, 12, 2) = -.5091168824543129, (11, 12, 3) = -.5091168824543129, (11, 13, 1) = -.5091168824543155, (11, 13, 2) = -.5091168824543155, (11, 13, 3) = -.5091168824543155, (11, 14, 1) = .7071067811865455, (11, 14, 2) = .7071067811865455, (11, 14, 3) = .7071067811865455, (11, 15, 1) = -.5018886586660147, (11, 15, 2) = -.5018886586660147, (11, 15, 3) = -.5018886586660147, (11, 16, 1) = -.5018886586660174, (11, 16, 2) = -.5018886586660174, (11, 16, 3) = -.5018886586660174, (11, 17, 1) = .7933533402912334, (11, 17, 2) = .7933533402912334, (11, 17, 3) = .7933533402912334, (11, 18, 1) = -.4806965788070877, (11, 18, 2) = -.4806965788070877, (11, 18, 3) = -.4806965788070877, (11, 19, 1) = -.4806965788070902, (11, 19, 2) = -.4806965788070902, (11, 19, 3) = -.4806965788070902, (11, 20, 1) = .866025403784437, (11, 20, 2) = .866025403784437, (11, 20, 3) = .866025403784437, (11, 21, 1) = -.44698484809834976, (11, 21, 2) = -.44698484809834976, (11, 21, 3) = -.44698484809834976, (11, 22, 1) = -.4469848480983521, (11, 22, 2) = -.4469848480983521, (11, 22, 3) = -.4469848480983521, (11, 23, 1) = .9238795325112855, (11, 23, 2) = .9238795325112855, (11, 23, 3) = .9238795325112855, (11, 24, 1) = -.4030508652763323, (11, 24, 2) = -.4030508652763323, (11, 24, 3) = -.4030508652763323, (11, 25, 1) = -.40305086527633444, (11, 25, 2) = -.40305086527633444, (11, 25, 3) = -.40305086527633444, (12, 1, 1) = .9659258262890674, (12, 1, 2) = .9659258262890674, (12, 1, 3) = .9659258262890674, (12, 2, 1) = -.3518886586660163, (12, 2, 2) = -.3518886586660163, (12, 2, 3) = -.3518886586660163, (12, 3, 1) = -.3518886586660181, (12, 3, 2) = -.3518886586660181, (12, 3, 3) = -.3518886586660181, (12, 4, 1) = .9914448613738099, (12, 4, 2) = .9914448613738099, (12, 4, 3) = .9914448613738099, (12, 5, 1) = -.29698484809835074, (12, 5, 2) = -.29698484809835074, (12, 5, 3) = -.29698484809835074, (12, 6, 1) = -.2969848480983523, (12, 6, 2) = -.2969848480983523, (12, 6, 3) = -.2969848480983523, (12, 7, 1) = 1.0, (12, 7, 2) = 1.0, (12, 7, 3) = 1.0, (12, 8, 1) = -.2420810375306851, (12, 8, 2) = -.2420810375306851, (12, 8, 3) = -.2420810375306851, (12, 9, 1) = -.24208103753068638, (12, 9, 2) = -.24208103753068638, (12, 9, 3) = -.24208103753068638, (12, 10, 1) = .9914448613738109, (12, 10, 2) = .9914448613738109, (12, 10, 3) = .9914448613738109, (12, 11, 1) = -.19091883092036882, (12, 11, 2) = -.19091883092036882, (12, 11, 3) = -.19091883092036882, (12, 12, 1) = -.19091883092036982, (12, 12, 2) = -.19091883092036982, (12, 12, 3) = -.19091883092036982, (12, 13, 1) = .9659258262890694, (12, 13, 2) = .9659258262890694, (12, 13, 3) = .9659258262890694, (12, 14, 1) = -.14698484809835083, (12, 14, 2) = -.14698484809835083, (12, 14, 3) = -.14698484809835083, (12, 15, 1) = -.1469848480983516, (12, 15, 2) = -.1469848480983516, (12, 15, 3) = -.1469848480983516, (12, 16, 1) = .9238795325112884, (12, 16, 2) = .9238795325112884, (12, 16, 3) = .9238795325112884, (12, 17, 1) = -.11327311738961221, (12, 17, 2) = -.11327311738961221, (12, 17, 3) = -.11327311738961221, (12, 18, 1) = -.11327311738961279, (12, 18, 2) = -.11327311738961279, (12, 18, 3) = -.11327311738961279, (12, 19, 1) = .8660254037844408, (12, 19, 2) = .8660254037844408, (12, 19, 3) = .8660254037844408, (12, 20, 1) = -0.9208103753068442e-1, (12, 20, 2) = -0.9208103753068442e-1, (12, 20, 3) = -0.9208103753068442e-1, (12, 21, 1) = -0.920810375306849e-1, (12, 21, 2) = -0.920810375306849e-1, (12, 21, 3) = -0.920810375306849e-1, (12, 22, 1) = .7933533402912379, (12, 22, 2) = .7933533402912379, (12, 22, 3) = .7933533402912379, (12, 23, 1) = -0.8485281374238547e-1, (12, 23, 2) = -0.8485281374238547e-1, (12, 23, 3) = -0.8485281374238547e-1, (12, 24, 1) = -0.848528137423859e-1, (12, 24, 2) = -0.848528137423859e-1, (12, 24, 3) = -0.848528137423859e-1, (12, 25, 1) = .7071067811865508, (12, 25, 2) = .7071067811865508, (12, 25, 3) = .7071067811865508, (13, 1, 1) = -0.5999999999999974e-1, (13, 1, 2) = -0.5999999999999974e-1, (13, 1, 3) = -0.5999999999999974e-1, (13, 2, 1) = -.10392304845413275, (13, 2, 2) = -.10392304845413275, (13, 2, 3) = -.10392304845413275, (13, 3, 1) = -.7071067811865486, (13, 3, 2) = -.7071067811865486, (13, 3, 3) = -.7071067811865486, (13, 4, 1) = -0.6511112605663938e-1, (13, 4, 2) = -0.6511112605663938e-1, (13, 4, 3) = -0.6511112605663938e-1, (13, 5, 1) = -.11277577846812181, (13, 5, 2) = -.11277577846812181, (13, 5, 3) = -.11277577846812181, (13, 6, 1) = -.6087614290087217, (13, 6, 2) = -.6087614290087217, (13, 6, 3) = -.6087614290087217, (13, 7, 1) = -0.8009618943233367e-1, (13, 7, 2) = -0.8009618943233367e-1, (13, 7, 3) = -0.8009618943233367e-1, (13, 8, 1) = -.13873066958946403, (13, 8, 2) = -.13873066958946403, (13, 8, 3) = -.13873066958946403, (13, 9, 1) = -.5000000000000012, (13, 9, 2) = -.5000000000000012, (13, 9, 3) = -.5000000000000012, (13, 10, 1) = -.10393398282201712, (13, 10, 2) = -.10393398282201712, (13, 10, 3) = -.10393398282201712, (13, 11, 1) = -.18001893888072554, (13, 11, 2) = -.18001893888072554, (13, 11, 3) = -.18001893888072554, (13, 12, 1) = -.38268343236509117, (13, 12, 2) = -.38268343236509117, (13, 12, 3) = -.38268343236509117, (13, 13, 1) = -.134999999999999, (13, 13, 2) = -.134999999999999, (13, 13, 3) = -.134999999999999, (13, 14, 1) = -.23382685902179795, (13, 14, 2) = -.23382685902179795, (13, 14, 3) = -.23382685902179795, (13, 15, 1) = -.25881904510252235, (13, 15, 2) = -.25881904510252235, (13, 15, 3) = -.25881904510252235, (13, 16, 1) = -.17117714323462063, (13, 16, 2) = -.17117714323462063, (13, 16, 3) = -.17117714323462063, (13, 17, 1) = -.2964875091768597, (13, 17, 2) = -.2964875091768597, (13, 17, 3) = -.2964875091768597, (13, 18, 1) = -.1305261922200534, (13, 18, 2) = -.1305261922200534, (13, 18, 3) = -.1305261922200534, (13, 19, 1) = -.20999999999999855, (13, 19, 2) = -.20999999999999855, (13, 19, 3) = -.20999999999999855, (13, 20, 1) = -.36373066958946365, (13, 20, 2) = -.36373066958946365, (13, 20, 3) = -.36373066958946365, (13, 21, 1) = -0.1960053859272353e-14, (13, 21, 2) = -0.1960053859272353e-14, (13, 21, 3) = -0.1960053859272353e-14, (13, 22, 1) = -.2488228567653765, (13, 22, 2) = -.2488228567653765, (13, 22, 3) = -.2488228567653765, (13, 23, 1) = -.4309738300020678, (13, 23, 2) = -.4309738300020678, (13, 23, 3) = -.4309738300020678, (13, 24, 1) = .1305261922200495, (13, 24, 2) = .1305261922200495, (13, 24, 3) = .1305261922200495, (13, 25, 1) = -.28499999999999825, (13, 25, 2) = -.28499999999999825, (13, 25, 3) = -.28499999999999825, (14, 1, 1) = -.4936344801571296, (14, 1, 2) = -.4936344801571296, (14, 1, 3) = -.4936344801571296, (14, 2, 1) = .2588190451025186, (14, 2, 2) = .2588190451025186, (14, 2, 3) = .2588190451025186, (14, 3, 1) = -.3160660171779804, (14, 3, 2) = -.3160660171779804, (14, 3, 3) = -.3160660171779804, (14, 4, 1) = -.5474424002982025, (14, 4, 2) = -.5474424002982025, (14, 4, 3) = -.5474424002982025, (14, 5, 1) = .38268343236508756, (14, 5, 2) = .38268343236508756, (14, 5, 3) = .38268343236508756, (14, 6, 1) = -.33990381056766406, (14, 6, 2) = -.33990381056766406, (14, 6, 3) = -.33990381056766406, (14, 7, 1) = -.5887306695894644, (14, 7, 2) = -.5887306695894644, (14, 7, 3) = -.5887306695894644, (14, 8, 1) = .4999999999999977, (14, 8, 2) = .4999999999999977, (14, 8, 3) = .4999999999999977, (14, 9, 1) = -.3548888739433586, (14, 9, 2) = -.3548888739433586, (14, 9, 3) = -.3548888739433586, (14, 10, 1) = -.6146855607108069, (14, 10, 2) = -.6146855607108069, (14, 10, 3) = -.6146855607108069, (14, 11, 1) = .6087614290087184, (14, 11, 2) = .6087614290087184, (14, 11, 3) = .6087614290087184, (14, 12, 1) = -.3599999999999985, (14, 12, 2) = -.3599999999999985, (14, 12, 3) = -.3599999999999985, (14, 13, 1) = -.6235382907247967, (14, 13, 2) = -.6235382907247967, (14, 13, 3) = -.6235382907247967, (14, 14, 1) = .7071067811865455, (14, 14, 2) = .7071067811865455, (14, 14, 3) = .7071067811865455, (14, 15, 1) = -.35488887394335905, (14, 15, 2) = -.35488887394335905, (14, 15, 3) = -.35488887394335905, (14, 16, 1) = -.6146855607108078, (14, 16, 2) = -.6146855607108078, (14, 16, 3) = -.6146855607108078, (14, 17, 1) = .7933533402912334, (14, 17, 2) = .7933533402912334, (14, 17, 3) = .7933533402912334, (14, 18, 1) = -.33990381056766494, (14, 18, 2) = -.33990381056766494, (14, 18, 3) = -.33990381056766494, (14, 19, 1) = -.5887306695894658, (14, 19, 2) = -.5887306695894658, (14, 19, 3) = -.5887306695894658, (14, 20, 1) = .866025403784437, (14, 20, 2) = .866025403784437, (14, 20, 3) = .866025403784437, (14, 21, 1) = -.31606601717798155, (14, 21, 2) = -.31606601717798155, (14, 21, 3) = -.31606601717798155, (14, 22, 1) = -.5474424002982046, (14, 22, 2) = -.5474424002982046, (14, 22, 3) = -.5474424002982046, (14, 23, 1) = .9238795325112855, (14, 23, 2) = .9238795325112855, (14, 23, 3) = .9238795325112855, (14, 24, 1) = -.28499999999999975, (14, 24, 2) = -.28499999999999975, (14, 24, 3) = -.28499999999999975, (14, 25, 1) = -.49363448015713224, (14, 25, 2) = -.49363448015713224, (14, 25, 3) = -.49363448015713224, (15, 1, 1) = .9659258262890674, (15, 1, 2) = .9659258262890674, (15, 1, 3) = .9659258262890674, (15, 2, 1) = -.24882285676537816, (15, 2, 2) = -.24882285676537816, (15, 2, 3) = -.24882285676537816, (15, 3, 1) = -.4309738300020706, (15, 3, 2) = -.4309738300020706, (15, 3, 3) = -.4309738300020706, (15, 4, 1) = .9914448613738099, (15, 4, 2) = .9914448613738099, (15, 4, 3) = .9914448613738099, (15, 5, 1) = -.21000000000000027, (15, 5, 2) = -.21000000000000027, (15, 5, 3) = -.21000000000000027, (15, 6, 1) = -.36373066958946665, (15, 6, 2) = -.36373066958946665, (15, 6, 3) = -.36373066958946665, (15, 7, 1) = 1.0, (15, 7, 2) = 1.0, (15, 7, 3) = 1.0, (15, 8, 1) = -.1711771432346223, (15, 8, 2) = -.1711771432346223, (15, 8, 3) = -.1711771432346223, (15, 9, 1) = -.29648750917686256, (15, 9, 2) = -.29648750917686256, (15, 9, 3) = -.29648750917686256, (15, 10, 1) = .9914448613738109, (15, 10, 2) = .9914448613738109, (15, 10, 3) = .9914448613738109, (15, 11, 1) = -.1350000000000005, (15, 11, 2) = -.1350000000000005, (15, 11, 3) = -.1350000000000005, (15, 12, 1) = -.23382685902180056, (15, 12, 2) = -.23382685902180056, (15, 12, 3) = -.23382685902180056, (15, 13, 1) = .9659258262890694, (15, 13, 2) = .9659258262890694, (15, 13, 3) = .9659258262890694, (15, 14, 1) = -.10393398282201835, (15, 14, 2) = -.10393398282201835, (15, 14, 3) = -.10393398282201835, (15, 15, 1) = -.18001893888072767, (15, 15, 2) = -.18001893888072767, (15, 15, 3) = -.18001893888072767, (15, 16, 1) = .9238795325112884, (15, 16, 2) = .9238795325112884, (15, 16, 3) = .9238795325112884, (15, 17, 1) = -0.8009618943233453e-1, (15, 17, 2) = -0.8009618943233453e-1, (15, 17, 3) = -0.8009618943233453e-1, (15, 18, 1) = -.13873066958946553, (15, 18, 2) = -.13873066958946553, (15, 18, 3) = -.13873066958946553, (15, 19, 1) = .8660254037844408, (15, 19, 2) = .8660254037844408, (15, 19, 3) = .8660254037844408, (15, 20, 1) = -0.6511112605663985e-1, (15, 20, 2) = -0.6511112605663985e-1, (15, 20, 3) = -0.6511112605663985e-1, (15, 21, 1) = -.11277577846812262, (15, 21, 2) = -.11277577846812262, (15, 21, 3) = -.11277577846812262, (15, 22, 1) = .7933533402912379, (15, 22, 2) = .7933533402912379, (15, 22, 3) = .7933533402912379, (15, 23, 1) = -0.5999999999999974e-1, (15, 23, 2) = -0.5999999999999974e-1, (15, 23, 3) = -0.5999999999999974e-1, (15, 24, 1) = -.10392304845413275, (15, 24, 2) = -.10392304845413275, (15, 24, 3) = -.10392304845413275, (15, 25, 1) = .7071067811865508, (15, 25, 2) = .7071067811865508, (15, 25, 3) = .7071067811865508, (16, 1, 1) = -0.31058285412302253e-1, (16, 1, 2) = -0.31058285412302253e-1, (16, 1, 3) = -0.31058285412302253e-1, (16, 2, 1) = -.11591109915468822, (16, 2, 2) = -.11591109915468822, (16, 2, 3) = -.11591109915468822, (16, 3, 1) = -.7071067811865486, (16, 3, 2) = -.7071067811865486, (16, 3, 3) = -.7071067811865486, (16, 4, 1) = -0.3370399894305841e-1, (16, 4, 2) = -0.3370399894305841e-1, (16, 4, 3) = -0.3370399894305841e-1, (16, 5, 1) = -.1257850364737427, (16, 5, 2) = -.1257850364737427, (16, 5, 3) = -.1257850364737427, (16, 6, 1) = -.6087614290087217, (16, 6, 2) = -.6087614290087217, (16, 6, 3) = -.6087614290087217, (16, 7, 1) = -0.41460838530454285e-1, (16, 7, 2) = -0.41460838530454285e-1, (16, 7, 3) = -0.41460838530454285e-1, (16, 8, 1) = -.15473395592006597, (16, 8, 2) = -.15473395592006597, (16, 8, 3) = -.15473395592006597, (16, 9, 1) = -.5000000000000012, (16, 9, 2) = -.5000000000000012, (16, 9, 3) = -.5000000000000012, (16, 10, 1) = -0.53800188375392355e-1, (16, 10, 2) = -0.53800188375392355e-1, (16, 10, 3) = -0.53800188375392355e-1, (16, 11, 1) = -.20078503647374232, (16, 11, 2) = -.20078503647374232, (16, 11, 3) = -.20078503647374232, (16, 12, 1) = -.38268343236509117, (16, 12, 2) = -.38268343236509117, (16, 12, 3) = -.38268343236509117, (16, 13, 1) = -0.6988114217767985e-1, (16, 13, 2) = -0.6988114217767985e-1, (16, 13, 3) = -0.6988114217767985e-1, (16, 14, 1) = -.2607999730980477, (16, 14, 2) = -.2607999730980477, (16, 14, 3) = -.2607999730980477, (16, 15, 1) = -.25881904510252235, (16, 15, 2) = -.25881904510252235, (16, 15, 3) = -.25881904510252235, (16, 16, 1) = -0.8860780951072358e-1, (16, 16, 2) = -0.8860780951072358e-1, (16, 16, 3) = -0.8860780951072358e-1, (16, 17, 1) = -.33068884704140783, (16, 17, 2) = -.33068884704140783, (16, 17, 3) = -.33068884704140783, (16, 18, 1) = -.1305261922200534, (16, 18, 2) = -.1305261922200534, (16, 18, 3) = -.1305261922200534, (16, 19, 1) = -.10870399894305759, (16, 19, 2) = -.10870399894305759, (16, 19, 3) = -.10870399894305759, (16, 20, 1) = -.4056888470414077, (16, 20, 2) = -.4056888470414077, (16, 20, 3) = -.4056888470414077, (16, 21, 1) = -0.1960053859272353e-14, (16, 21, 2) = -0.1960053859272353e-14, (16, 21, 3) = -0.1960053859272353e-14, (16, 22, 1) = -.12880018837539164, (16, 22, 2) = -.12880018837539164, (16, 22, 3) = -.12880018837539164, (16, 23, 1) = -.48068884704140774, (16, 23, 2) = -.48068884704140774, (16, 23, 3) = -.48068884704140774, (16, 24, 1) = .1305261922200495, (16, 24, 2) = .1305261922200495, (16, 24, 3) = .1305261922200495, (16, 25, 1) = -.1475268557084354, (16, 25, 2) = -.1475268557084354, (16, 25, 3) = -.1475268557084354, (17, 1, 1) = -.550577720984768, (17, 1, 2) = -.550577720984768, (17, 1, 3) = -.550577720984768, (17, 2, 1) = .2588190451025186, (17, 2, 2) = .2588190451025186, (17, 2, 3) = .2588190451025186, (17, 3, 1) = -.16360780951072307, (17, 3, 2) = -.16360780951072307, (17, 3, 3) = -.16360780951072307, (17, 4, 1) = -.6105926576090738, (17, 4, 2) = -.6105926576090738, (17, 4, 3) = -.6105926576090738, (17, 5, 1) = .38268343236508756, (17, 5, 2) = .38268343236508756, (17, 5, 3) = .38268343236508756, (17, 6, 1) = -.17594715935566121, (17, 6, 2) = -.17594715935566121, (17, 6, 3) = -.17594715935566121, (17, 7, 1) = -.6566437381627506, (17, 7, 2) = -.6566437381627506, (17, 7, 3) = -.6566437381627506, (17, 8, 1) = .4999999999999977, (17, 8, 2) = .4999999999999977, (17, 8, 3) = .4999999999999977, (17, 9, 1) = -.18370399894305725, (17, 9, 2) = -.18370399894305725, (17, 9, 3) = -.18370399894305725, (17, 10, 1) = -.6855926576090744, (17, 10, 2) = -.6855926576090744, (17, 10, 3) = -.6855926576090744, (17, 11, 1) = .6087614290087184, (17, 11, 2) = .6087614290087184, (17, 11, 3) = .6087614290087184, (17, 12, 1) = -.18634971247381357, (17, 12, 2) = -.18634971247381357, (17, 12, 3) = -.18634971247381357, (17, 13, 1) = -.6954665949281295, (17, 13, 2) = -.6954665949281295, (17, 13, 3) = -.6954665949281295, (17, 14, 1) = .7071067811865455, (17, 14, 2) = .7071067811865455, (17, 14, 3) = .7071067811865455, (17, 15, 1) = -.18370399894305747, (17, 15, 2) = -.18370399894305747, (17, 15, 3) = -.18370399894305747, (17, 16, 1) = -.6855926576090753, (17, 16, 2) = -.6855926576090753, (17, 16, 3) = -.6855926576090753, (17, 17, 1) = .7933533402912334, (17, 17, 2) = .7933533402912334, (17, 17, 3) = .7933533402912334, (17, 18, 1) = -.1759471593556617, (17, 18, 2) = -.1759471593556617, (17, 18, 3) = -.1759471593556617, (17, 19, 1) = -.6566437381627522, (17, 19, 2) = -.6566437381627522, (17, 19, 3) = -.6566437381627522, (17, 20, 1) = .866025403784437, (17, 20, 2) = .866025403784437, (17, 20, 3) = .866025403784437, (17, 21, 1) = -.16360780951072365, (17, 21, 2) = -.16360780951072365, (17, 21, 3) = -.16360780951072365, (17, 22, 1) = -.6105926576090761, (17, 22, 2) = -.6105926576090761, (17, 22, 3) = -.6105926576090761, (17, 23, 1) = .9238795325112855, (17, 23, 2) = .9238795325112855, (17, 23, 3) = .9238795325112855, (17, 24, 1) = -.1475268557084362, (17, 24, 2) = -.1475268557084362, (17, 24, 3) = -.1475268557084362, (17, 25, 1) = -.550577720984771, (17, 25, 2) = -.550577720984771, (17, 25, 3) = -.550577720984771, (18, 1, 1) = .9659258262890674, (18, 1, 2) = .9659258262890674, (18, 1, 3) = .9659258262890674, (18, 2, 1) = -.1288001883753925, (18, 2, 2) = -.1288001883753925, (18, 2, 3) = -.1288001883753925, (18, 3, 1) = -.4806888470414109, (18, 3, 2) = -.4806888470414109, (18, 3, 3) = -.4806888470414109, (18, 4, 1) = .9914448613738099, (18, 4, 2) = .9914448613738099, (18, 4, 3) = .9914448613738099, (18, 5, 1) = -.10870399894305849, (18, 5, 2) = -.10870399894305849, (18, 5, 3) = -.10870399894305849, (18, 6, 1) = -.405688847041411, (18, 6, 2) = -.405688847041411, (18, 6, 3) = -.405688847041411, (18, 7, 1) = 1.0, (18, 7, 2) = 1.0, (18, 7, 3) = 1.0, (18, 8, 1) = -0.8860780951072444e-1, (18, 8, 2) = -0.8860780951072444e-1, (18, 8, 3) = -0.8860780951072444e-1, (18, 9, 1) = -.330688847041411, (18, 9, 2) = -.330688847041411, (18, 9, 3) = -.330688847041411, (18, 10, 1) = .9914448613738109, (18, 10, 2) = .9914448613738109, (18, 10, 3) = .9914448613738109, (18, 11, 1) = -0.6988114217768063e-1, (18, 11, 2) = -0.6988114217768063e-1, (18, 11, 3) = -0.6988114217768063e-1, (18, 12, 1) = -.2607999730980506, (18, 12, 2) = -.2607999730980506, (18, 12, 3) = -.2607999730980506, (18, 13, 1) = .9659258262890694, (18, 13, 2) = .9659258262890694, (18, 13, 3) = .9659258262890694, (18, 14, 1) = -0.53800188375392986e-1, (18, 14, 2) = -0.53800188375392986e-1, (18, 14, 3) = -0.53800188375392986e-1, (18, 15, 1) = -.2007850364737447, (18, 15, 2) = -.2007850364737447, (18, 15, 3) = -.2007850364737447, (18, 16, 1) = .9238795325112884, (18, 16, 2) = .9238795325112884, (18, 16, 3) = .9238795325112884, (18, 17, 1) = -0.41460838530454736e-1, (18, 17, 2) = -0.41460838530454736e-1, (18, 17, 3) = -0.41460838530454736e-1, (18, 18, 1) = -.15473395592006764, (18, 18, 2) = -.15473395592006764, (18, 18, 3) = -.15473395592006764, (18, 19, 1) = .8660254037844408, (18, 19, 2) = .8660254037844408, (18, 19, 3) = .8660254037844408, (18, 20, 1) = -0.3370399894305865e-1, (18, 20, 2) = -0.3370399894305865e-1, (18, 20, 3) = -0.3370399894305865e-1, (18, 21, 1) = -.12578503647374362, (18, 21, 2) = -.12578503647374362, (18, 21, 3) = -.12578503647374362, (18, 22, 1) = .7933533402912379, (18, 22, 2) = .7933533402912379, (18, 22, 3) = .7933533402912379, (18, 23, 1) = -0.31058285412302253e-1, (18, 23, 2) = -0.31058285412302253e-1, (18, 23, 3) = -0.31058285412302253e-1, (18, 24, 1) = -.11591109915468822, (18, 24, 2) = -.11591109915468822, (18, 24, 3) = -.11591109915468822, (18, 25, 1) = .7071067811865508, (18, 25, 2) = .7071067811865508, (18, 25, 3) = .7071067811865508, (19, 1, 1) = 0.1984670591382618e-15, (19, 1, 2) = 0.1984670591382618e-15, (19, 1, 3) = 0.1984670591382618e-15, (19, 2, 1) = -.11999999999999997, (19, 2, 2) = -.11999999999999997, (19, 2, 3) = -.11999999999999997, (19, 3, 1) = -.7071067811865486, (19, 3, 2) = -.7071067811865486, (19, 3, 3) = -.7071067811865486, (19, 4, 1) = 0.21537356176069868e-15, (19, 4, 2) = 0.21537356176069868e-15, (19, 4, 3) = 0.21537356176069868e-15, (19, 5, 1) = -.13022225211327929, (19, 5, 2) = -.13022225211327929, (19, 5, 3) = -.13022225211327929, (19, 6, 1) = -.6087614290087217, (19, 6, 2) = -.6087614290087217, (19, 6, 3) = -.6087614290087217, (19, 7, 1) = 0.2649409194136075e-15, (19, 7, 2) = 0.2649409194136075e-15, (19, 7, 3) = 0.2649409194136075e-15, (19, 8, 1) = -.16019237886466794, (19, 8, 2) = -.16019237886466794, (19, 8, 3) = -.16019237886466794, (19, 9, 1) = -.5000000000000012, (19, 9, 2) = -.5000000000000012, (19, 9, 3) = -.5000000000000012, (19, 10, 1) = 0.34379119858687406e-15, (19, 10, 2) = 0.34379119858687406e-15, (19, 10, 3) = 0.34379119858687406e-15, (19, 11, 1) = -.20786796564403506, (19, 11, 2) = -.20786796564403506, (19, 11, 3) = -.20786796564403506, (19, 12, 1) = -.38268343236509117, (19, 12, 2) = -.38268343236509117, (19, 12, 3) = -.38268343236509117, (19, 13, 1) = 0.4465508830610876e-15, (19, 13, 2) = 0.4465508830610876e-15, (19, 13, 3) = 0.4465508830610876e-15, (19, 14, 1) = -.2699999999999991, (19, 14, 2) = -.2699999999999991, (19, 14, 3) = -.2699999999999991, (19, 15, 1) = -.25881904510252235, (19, 15, 2) = -.25881904510252235, (19, 15, 3) = -.25881904510252235, (19, 16, 1) = 0.56621707015773855e-15, (19, 16, 2) = 0.56621707015773855e-15, (19, 16, 3) = 0.56621707015773855e-15, (19, 17, 1) = -.34235428646924265, (19, 17, 2) = -.34235428646924265, (19, 17, 3) = -.34235428646924265, (19, 18, 1) = -.1305261922200534, (19, 18, 2) = -.1305261922200534, (19, 18, 3) = -.1305261922200534, (19, 19, 1) = 0.6946347069839144e-15, (19, 19, 2) = 0.6946347069839144e-15, (19, 19, 3) = 0.6946347069839144e-15, (19, 20, 1) = -.41999999999999876, (19, 20, 2) = -.41999999999999876, (19, 20, 3) = -.41999999999999876, (19, 21, 1) = -0.1960053859272353e-14, (19, 21, 2) = -0.1960053859272353e-14, (19, 21, 3) = -0.1960053859272353e-14, (19, 22, 1) = 0.8230523438100904e-15, (19, 22, 2) = 0.8230523438100904e-15, (19, 22, 3) = 0.8230523438100904e-15, (19, 23, 1) = -.497645713530755, (19, 23, 2) = -.497645713530755, (19, 23, 3) = -.497645713530755, (19, 24, 1) = .1305261922200495, (19, 24, 2) = .1305261922200495, (19, 24, 3) = .1305261922200495, (19, 25, 1) = 0.9427185309067417e-15, (19, 25, 2) = 0.9427185309067417e-15, (19, 25, 3) = 0.9427185309067417e-15, (20, 1, 1) = -.5699999999999987, (20, 1, 2) = -.5699999999999987, (20, 1, 3) = -.5699999999999987, (20, 2, 1) = .2588190451025186, (20, 2, 2) = .2588190451025186, (20, 2, 3) = .2588190451025186, (20, 3, 1) = 0.1045478215380956e-14, (20, 3, 2) = 0.1045478215380956e-14, (20, 3, 3) = 0.1045478215380956e-14, (20, 4, 1) = -.6321320343559632, (20, 4, 2) = -.6321320343559632, (20, 4, 3) = -.6321320343559632, (20, 5, 1) = .38268343236508756, (20, 5, 2) = .38268343236508756, (20, 5, 3) = .38268343236508756, (20, 6, 1) = 0.11243284945542233e-14, (20, 6, 2) = 0.11243284945542233e-14, (20, 6, 3) = 0.11243284945542233e-14, (20, 7, 1) = -.6798076211353308, (20, 7, 2) = -.6798076211353308, (20, 7, 3) = -.6798076211353308, (20, 8, 1) = .4999999999999977, (20, 8, 2) = .4999999999999977, (20, 8, 3) = .4999999999999977, (20, 9, 1) = 0.11738958522071332e-14, (20, 9, 2) = 0.11738958522071332e-14, (20, 9, 3) = 0.11738958522071332e-14, (20, 10, 1) = -.70977774788672, (20, 10, 2) = -.70977774788672, (20, 10, 3) = -.70977774788672, (20, 11, 1) = .6087614290087184, (20, 11, 2) = .6087614290087184, (20, 11, 3) = .6087614290087184, (20, 12, 1) = 0.11908023548295709e-14, (20, 12, 2) = 0.11908023548295709e-14, (20, 12, 3) = 0.11908023548295709e-14, (20, 13, 1) = -.72, (20, 13, 2) = -.72, (20, 13, 3) = -.72, (20, 14, 1) = .7071067811865455, (20, 14, 2) = .7071067811865455, (20, 14, 3) = .7071067811865455, (20, 15, 1) = 0.11738958522071346e-14, (20, 15, 2) = 0.11738958522071346e-14, (20, 15, 3) = 0.11738958522071346e-14, (20, 16, 1) = -.709777747886721, (20, 16, 2) = -.709777747886721, (20, 16, 3) = -.709777747886721, (20, 17, 1) = .7933533402912334, (20, 17, 2) = .7933533402912334, (20, 17, 3) = .7933533402912334, (20, 18, 1) = 0.1124328494554226e-14, (20, 18, 2) = 0.1124328494554226e-14, (20, 18, 3) = 0.1124328494554226e-14, (20, 19, 1) = -.6798076211353326, (20, 19, 2) = -.6798076211353326, (20, 19, 3) = -.6798076211353326, (20, 20, 1) = .866025403784437, (20, 20, 2) = .866025403784437, (20, 20, 3) = .866025403784437, (20, 21, 1) = 0.104547821538096e-14, (20, 21, 2) = 0.104547821538096e-14, (20, 21, 3) = 0.104547821538096e-14, (20, 22, 1) = -.6321320343559657, (20, 22, 2) = -.6321320343559657, (20, 22, 3) = -.6321320343559657, (20, 23, 1) = .9238795325112855, (20, 23, 2) = .9238795325112855, (20, 23, 3) = .9238795325112855, (20, 24, 1) = 0.9427185309067466e-15, (20, 24, 2) = 0.9427185309067466e-15, (20, 24, 3) = 0.9427185309067466e-15, (20, 25, 1) = -.5700000000000018, (20, 25, 2) = -.5700000000000018, (20, 25, 3) = -.5700000000000018, (21, 1, 1) = .9659258262890674, (21, 1, 2) = .9659258262890674, (21, 1, 3) = .9659258262890674, (21, 2, 1) = 0.823052343810096e-15, (21, 2, 2) = 0.823052343810096e-15, (21, 2, 3) = 0.823052343810096e-15, (21, 3, 1) = -.4976457135307583, (21, 3, 2) = -.4976457135307583, (21, 3, 3) = -.4976457135307583, (21, 4, 1) = .9914448613738099, (21, 4, 2) = .9914448613738099, (21, 4, 3) = .9914448613738099, (21, 5, 1) = 0.6946347069839201e-15, (21, 5, 2) = 0.6946347069839201e-15, (21, 5, 3) = 0.6946347069839201e-15, (21, 6, 1) = -.4200000000000022, (21, 6, 2) = -.4200000000000022, (21, 6, 3) = -.4200000000000022, (21, 7, 1) = 1.0, (21, 7, 2) = 1.0, (21, 7, 3) = 1.0, (21, 8, 1) = 0.566217070157744e-15, (21, 8, 2) = 0.566217070157744e-15, (21, 8, 3) = 0.566217070157744e-15, (21, 9, 1) = -.342354286469246, (21, 9, 2) = -.342354286469246, (21, 9, 3) = -.342354286469246, (21, 10, 1) = .9914448613738109, (21, 10, 2) = .9914448613738109, (21, 10, 3) = .9914448613738109, (21, 11, 1) = 0.4465508830610926e-15, (21, 11, 2) = 0.4465508830610926e-15, (21, 11, 3) = 0.4465508830610926e-15, (21, 12, 1) = -.27000000000000207, (21, 12, 2) = -.27000000000000207, (21, 12, 3) = -.27000000000000207, (21, 13, 1) = .9659258262890694, (21, 13, 2) = .9659258262890694, (21, 13, 3) = .9659258262890694, (21, 14, 1) = 0.34379119858687815e-15, (21, 14, 2) = 0.34379119858687815e-15, (21, 14, 3) = 0.34379119858687815e-15, (21, 15, 1) = -.20786796564403753, (21, 15, 2) = -.20786796564403753, (21, 15, 3) = -.20786796564403753, (21, 16, 1) = .9238795325112884, (21, 16, 2) = .9238795325112884, (21, 16, 3) = .9238795325112884, (21, 17, 1) = 0.26494091941361036e-15, (21, 17, 2) = 0.26494091941361036e-15, (21, 17, 3) = 0.26494091941361036e-15, (21, 18, 1) = -.1601923788646697, (21, 18, 2) = -.1601923788646697, (21, 18, 3) = -.1601923788646697, (21, 19, 1) = .8660254037844408, (21, 19, 2) = .8660254037844408, (21, 19, 3) = .8660254037844408, (21, 20, 1) = 0.2153735617607002e-15, (21, 20, 2) = 0.2153735617607002e-15, (21, 20, 3) = 0.2153735617607002e-15, (21, 21, 1) = -.1302222521132802, (21, 21, 2) = -.1302222521132802, (21, 21, 3) = -.1302222521132802, (21, 22, 1) = .7933533402912379, (21, 22, 2) = .7933533402912379, (21, 22, 3) = .7933533402912379, (21, 23, 1) = 0.1984670591382618e-15, (21, 23, 2) = 0.1984670591382618e-15, (21, 23, 3) = 0.1984670591382618e-15, (21, 24, 1) = -.11999999999999997, (21, 24, 2) = -.11999999999999997, (21, 24, 3) = -.11999999999999997, (21, 25, 1) = .7071067811865508, (21, 25, 2) = .7071067811865508, (21, 25, 3) = .7071067811865508, (22, 1, 1) = 0.3105828541230264e-1, (22, 1, 2) = 0.3105828541230264e-1, (22, 1, 3) = 0.3105828541230264e-1, (22, 2, 1) = -.11591109915468811, (22, 2, 2) = -.11591109915468811, (22, 2, 3) = -.11591109915468811, (22, 3, 1) = -.7071067811865486, (22, 3, 2) = -.7071067811865486, (22, 3, 3) = -.7071067811865486, (22, 4, 1) = 0.3370399894305883e-1, (22, 4, 2) = 0.3370399894305883e-1, (22, 4, 3) = 0.3370399894305883e-1, (22, 5, 1) = -.12578503647374262, (22, 5, 2) = -.12578503647374262, (22, 5, 3) = -.12578503647374262, (22, 6, 1) = -.6087614290087217, (22, 6, 2) = -.6087614290087217, (22, 6, 3) = -.6087614290087217, (22, 7, 1) = 0.414608385304548e-1, (22, 7, 2) = 0.414608385304548e-1, (22, 7, 3) = 0.414608385304548e-1, (22, 8, 1) = -.15473395592006584, (22, 8, 2) = -.15473395592006584, (22, 8, 3) = -.15473395592006584, (22, 9, 1) = -.5000000000000012, (22, 9, 2) = -.5000000000000012, (22, 9, 3) = -.5000000000000012, (22, 10, 1) = 0.5380018837539302e-1, (22, 10, 2) = 0.5380018837539302e-1, (22, 10, 3) = 0.5380018837539302e-1, (22, 11, 1) = -.20078503647374216, (22, 11, 2) = -.20078503647374216, (22, 11, 3) = -.20078503647374216, (22, 12, 1) = -.38268343236509117, (22, 12, 2) = -.38268343236509117, (22, 12, 3) = -.38268343236509117, (22, 13, 1) = 0.6988114217768072e-1, (22, 13, 2) = 0.6988114217768072e-1, (22, 13, 3) = 0.6988114217768072e-1, (22, 14, 1) = -.2607999730980475, (22, 14, 2) = -.2607999730980475, (22, 14, 3) = -.2607999730980475, (22, 15, 1) = -.25881904510252235, (22, 15, 2) = -.25881904510252235, (22, 15, 3) = -.25881904510252235, (22, 16, 1) = 0.8860780951072468e-1, (22, 16, 2) = 0.8860780951072468e-1, (22, 16, 3) = 0.8860780951072468e-1, (22, 17, 1) = -.33068884704140755, (22, 17, 2) = -.33068884704140755, (22, 17, 3) = -.33068884704140755, (22, 18, 1) = -.1305261922200534, (22, 18, 2) = -.1305261922200534, (22, 18, 3) = -.1305261922200534, (22, 19, 1) = .10870399894305896, (22, 19, 2) = .10870399894305896, (22, 19, 3) = .10870399894305896, (22, 20, 1) = -.40568884704140734, (22, 20, 2) = -.40568884704140734, (22, 20, 3) = -.40568884704140734, (22, 21, 1) = -0.1960053859272353e-14, (22, 21, 2) = -0.1960053859272353e-14, (22, 21, 3) = -0.1960053859272353e-14, (22, 22, 1) = .12880018837539325, (22, 22, 2) = .12880018837539325, (22, 22, 3) = .12880018837539325, (22, 23, 1) = -.48068884704140735, (22, 23, 2) = -.48068884704140735, (22, 23, 3) = -.48068884704140735, (22, 24, 1) = .1305261922200495, (22, 24, 2) = .1305261922200495, (22, 24, 3) = .1305261922200495, (22, 25, 1) = .14752685570843727, (22, 25, 2) = .14752685570843727, (22, 25, 3) = .14752685570843727, (23, 1, 1) = -.5505777209847675, (23, 1, 2) = -.5505777209847675, (23, 1, 3) = -.5505777209847675, (23, 2, 1) = .2588190451025186, (23, 2, 2) = .2588190451025186, (23, 2, 3) = .2588190451025186, (23, 3, 1) = .1636078095107251, (23, 3, 2) = .1636078095107251, (23, 3, 3) = .1636078095107251, (23, 4, 1) = -.6105926576090733, (23, 4, 2) = -.6105926576090733, (23, 4, 3) = -.6105926576090733, (23, 5, 1) = .38268343236508756, (23, 5, 2) = .38268343236508756, (23, 5, 3) = .38268343236508756, (23, 6, 1) = .1759471593556634, (23, 6, 2) = .1759471593556634, (23, 6, 3) = .1759471593556634, (23, 7, 1) = -.65664373816275, (23, 7, 2) = -.65664373816275, (23, 7, 3) = -.65664373816275, (23, 8, 1) = .4999999999999977, (23, 8, 2) = .4999999999999977, (23, 8, 3) = .4999999999999977, (23, 9, 1) = .18370399894305953, (23, 9, 2) = .18370399894305953, (23, 9, 3) = .18370399894305953, (23, 10, 1) = -.6855926576090738, (23, 10, 2) = -.6855926576090738, (23, 10, 3) = -.6855926576090738, (23, 11, 1) = .6087614290087184, (23, 11, 2) = .6087614290087184, (23, 11, 3) = .6087614290087184, (23, 12, 1) = .1863497124738159, (23, 12, 2) = .1863497124738159, (23, 12, 3) = .1863497124738159, (23, 13, 1) = -.6954665949281289, (23, 13, 2) = -.6954665949281289, (23, 13, 3) = -.6954665949281289, (23, 14, 1) = .7071067811865455, (23, 14, 2) = .7071067811865455, (23, 14, 3) = .7071067811865455, (23, 15, 1) = .18370399894305978, (23, 15, 2) = .18370399894305978, (23, 15, 3) = .18370399894305978, (23, 16, 1) = -.6855926576090747, (23, 16, 2) = -.6855926576090747, (23, 16, 3) = -.6855926576090747, (23, 17, 1) = .7933533402912334, (23, 17, 2) = .7933533402912334, (23, 17, 3) = .7933533402912334, (23, 18, 1) = .17594715935566388, (23, 18, 2) = .17594715935566388, (23, 18, 3) = .17594715935566388, (23, 19, 1) = -.6566437381627518, (23, 19, 2) = -.6566437381627518, (23, 19, 3) = -.6566437381627518, (23, 20, 1) = .866025403784437, (23, 20, 2) = .866025403784437, (23, 20, 3) = .866025403784437, (23, 21, 1) = .1636078095107257, (23, 21, 2) = .1636078095107257, (23, 21, 3) = .1636078095107257, (23, 22, 1) = -.6105926576090757, (23, 22, 2) = -.6105926576090757, (23, 22, 3) = -.6105926576090757, (23, 23, 1) = .9238795325112855, (23, 23, 2) = .9238795325112855, (23, 23, 3) = .9238795325112855, (23, 24, 1) = .14752685570843804, (23, 24, 2) = .14752685570843804, (23, 24, 3) = .14752685570843804, (23, 25, 1) = -.5505777209847705, (23, 25, 2) = -.5505777209847705, (23, 25, 3) = -.5505777209847705, (24, 1, 1) = .9659258262890674, (24, 1, 2) = .9659258262890674, (24, 1, 3) = .9659258262890674, (24, 2, 1) = .12880018837539411, (24, 2, 2) = .12880018837539411, (24, 2, 3) = .12880018837539411, (24, 3, 1) = -.4806888470414105, (24, 3, 2) = -.4806888470414105, (24, 3, 3) = -.4806888470414105, (24, 4, 1) = .9914448613738099, (24, 4, 2) = .9914448613738099, (24, 4, 3) = .9914448613738099, (24, 5, 1) = .10870399894305983, (24, 5, 2) = .10870399894305983, (24, 5, 3) = .10870399894305983, (24, 6, 1) = -.40568884704141067, (24, 6, 2) = -.40568884704141067, (24, 6, 3) = -.40568884704141067, (24, 7, 1) = 1.0, (24, 7, 2) = 1.0, (24, 7, 3) = 1.0, (24, 8, 1) = 0.8860780951072554e-1, (24, 8, 2) = 0.8860780951072554e-1, (24, 8, 3) = 0.8860780951072554e-1, (24, 9, 1) = -.3306888470414107, (24, 9, 2) = -.3306888470414107, (24, 9, 3) = -.3306888470414107, (24, 10, 1) = .9914448613738109, (24, 10, 2) = .9914448613738109, (24, 10, 3) = .9914448613738109, (24, 11, 1) = 0.698811421776815e-1, (24, 11, 2) = 0.698811421776815e-1, (24, 11, 3) = 0.698811421776815e-1, (24, 12, 1) = -.26079997309805036, (24, 12, 2) = -.26079997309805036, (24, 12, 3) = -.26079997309805036, (24, 13, 1) = .9659258262890694, (24, 13, 2) = .9659258262890694, (24, 13, 3) = .9659258262890694, (24, 14, 1) = 0.5380018837539366e-1, (24, 14, 2) = 0.5380018837539366e-1, (24, 14, 3) = 0.5380018837539366e-1, (24, 15, 1) = -.20078503647374454, (24, 15, 2) = -.20078503647374454, (24, 15, 3) = -.20078503647374454, (24, 16, 1) = .9238795325112884, (24, 16, 2) = .9238795325112884, (24, 16, 3) = .9238795325112884, (24, 17, 1) = 0.4146083853045525e-1, (24, 17, 2) = 0.4146083853045525e-1, (24, 17, 3) = 0.4146083853045525e-1, (24, 18, 1) = -.1547339559200675, (24, 18, 2) = -.1547339559200675, (24, 18, 3) = -.1547339559200675, (24, 19, 1) = .8660254037844408, (24, 19, 2) = .8660254037844408, (24, 19, 3) = .8660254037844408, (24, 20, 1) = 0.33703998943059074e-1, (24, 20, 2) = 0.33703998943059074e-1, (24, 20, 3) = 0.33703998943059074e-1, (24, 21, 1) = -.1257850364737435, (24, 21, 2) = -.1257850364737435, (24, 21, 3) = -.1257850364737435, (24, 22, 1) = .7933533402912379, (24, 22, 2) = .7933533402912379, (24, 22, 3) = .7933533402912379, (24, 23, 1) = 0.3105828541230264e-1, (24, 23, 2) = 0.3105828541230264e-1, (24, 23, 3) = 0.3105828541230264e-1, (24, 24, 1) = -.11591109915468811, (24, 24, 2) = -.11591109915468811, (24, 24, 3) = -.11591109915468811, (24, 25, 1) = .7071067811865508, (24, 25, 2) = .7071067811865508, (24, 25, 3) = .7071067811865508, (25, 1, 1) = 0.60000000000000095e-1, (25, 1, 2) = 0.60000000000000095e-1, (25, 1, 3) = 0.60000000000000095e-1, (25, 2, 1) = -.10392304845413255, (25, 2, 2) = -.10392304845413255, (25, 2, 3) = -.10392304845413255, (25, 3, 1) = -.7071067811865486, (25, 3, 2) = -.7071067811865486, (25, 3, 3) = -.7071067811865486, (25, 4, 1) = 0.6511112605663975e-1, (25, 4, 2) = 0.6511112605663975e-1, (25, 4, 3) = 0.6511112605663975e-1, (25, 5, 1) = -.11277577846812158, (25, 5, 2) = -.11277577846812158, (25, 5, 3) = -.11277577846812158, (25, 6, 1) = -.6087614290087217, (25, 6, 2) = -.6087614290087217, (25, 6, 3) = -.6087614290087217, (25, 7, 1) = 0.8009618943233413e-1, (25, 7, 2) = 0.8009618943233413e-1, (25, 7, 3) = 0.8009618943233413e-1, (25, 8, 1) = -.13873066958946376, (25, 8, 2) = -.13873066958946376, (25, 8, 3) = -.13873066958946376, (25, 9, 1) = -.5000000000000012, (25, 9, 2) = -.5000000000000012, (25, 9, 3) = -.5000000000000012, (25, 10, 1) = .10393398282201771, (25, 10, 2) = .10393398282201771, (25, 10, 3) = .10393398282201771, (25, 11, 1) = -.18001893888072518, (25, 11, 2) = -.18001893888072518, (25, 11, 3) = -.18001893888072518, (25, 12, 1) = -.38268343236509117, (25, 12, 2) = -.38268343236509117, (25, 12, 3) = -.38268343236509117, (25, 13, 1) = .1349999999999998, (25, 13, 2) = .1349999999999998, (25, 13, 3) = .1349999999999998, (25, 14, 1) = -.2338268590217975, (25, 14, 2) = -.2338268590217975, (25, 14, 3) = -.2338268590217975, (25, 15, 1) = -.25881904510252235, (25, 15, 2) = -.25881904510252235, (25, 15, 3) = -.25881904510252235, (25, 16, 1) = .17117714323462163, (25, 16, 2) = .17117714323462163, (25, 16, 3) = .17117714323462163, (25, 17, 1) = -.2964875091768591, (25, 17, 2) = -.2964875091768591, (25, 17, 3) = -.2964875091768591, (25, 18, 1) = -.1305261922200534, (25, 18, 2) = -.1305261922200534, (25, 18, 3) = -.1305261922200534, (25, 19, 1) = .20999999999999974, (25, 19, 2) = .20999999999999974, (25, 19, 3) = .20999999999999974, (25, 20, 1) = -.363730669589463, (25, 20, 2) = -.363730669589463, (25, 20, 3) = -.363730669589463, (25, 21, 1) = -0.1960053859272353e-14, (25, 21, 2) = -0.1960053859272353e-14, (25, 21, 3) = -0.1960053859272353e-14, (25, 22, 1) = .2488228567653779, (25, 22, 2) = .2488228567653779, (25, 22, 3) = .2488228567653779, (25, 23, 1) = -.4309738300020669, (25, 23, 2) = -.4309738300020669, (25, 23, 3) = -.4309738300020669, (25, 24, 1) = .1305261922200495, (25, 24, 2) = .1305261922200495, (25, 24, 3) = .1305261922200495, (25, 25, 1) = .28499999999999986, (25, 25, 2) = .28499999999999986, (25, 25, 3) = .28499999999999986}, datatype = float[8], order = C_order)))

(6)

display(handle, bulb)

 

``

 

Download klein_bottle_surfac.mw

Okay that partially works.  My idea was to get rid of the self crossing surfaces.  The grid is still slightly noticeable crossing the space with the transparency option.  Originally I had thought this klein bottle post http://www.mapleprimes.com/maplesoftblog/95570-Klein-Bottle-Plot   did not have self crossing surfaces but on closer inspection it does as well.

Would it be much trouble getting rid of those self crossing surfaces? 

A flythrough would also be quite neat.

Well this kind works for the plot in question but other plots like sqrt(30-x^2+y^2) show how implicitplot3d is inferior.

Or something like x^2-y^2 (two cones meeting at zero) implicitplot takes care of the inconsistancies along the xy plane but then as it approaches 0,0,0 we have a space.  adding grid=[50,50,50] option for implicitplot3d partially allows us to see what happens but ultimately plot3d shows us a better view except for the inconsistancies at the xy plane. 

Here is my partially successful proc

 

 

**edit add ** sorry sorry the above where I mention implicitplot inferior is only because I didn't realize the plot3d and implicitplot3d had chosen different scales until just recently.  plot3d automatically chooses a z scale. 

However the above procedure was just a quick way I thought of to get a better defined visual graphic on the equation in question. 

 

newplot3d := proc (a, b, c, d) if is(StringTools:-Search(

newplot3d(sqrt(25-x^2-y^2), x = -6 .. 6, y = -6 .. 6, z = 0 .. 6)

 

newplot3d(x^2+y^2, x = -6 .. 6, y = -6 .. 6, z = -6 .. 6)

 

````

 

Download newplot3d4.mw

So essentially the procedure first chooses plot3d unless it contains undefined data in which case it reverts to using the implicitplot3d command.  The squared portions take care of any square roots that might exist that cause implicitplot3d pain.  I haven't gone into cubed roots etc etc... so of course there are many places it probably fails not to mention any inefficiencies that exist in the code.

Expanding on Dougs idea using `if` which by the way is a way I hadn't thought of using if (very cool).

I haven't worked out the particulars which is why I don't present my full idea here but thought I would get the idea out there. 

It seems that problems arise when undefined values occur in the MESH of plot3d as compared to the ISOSURFACE created with implicitplot3d.

Couldn't we use `if` to redirect maple to adjust the equation and automatically put it in an implicitplot to create it for us?  There are a lot of things to deal with, which I have not tried yet (ie converting the equation into an implicitplot3d readable equation etc. etc. ) 

So the basic idea was just to create a little routine to follow (perhaps I should make it a challenge question just for fun purposes) Make a new plot3d procedure eg - newplot3d that would automatically create an implicitplot instead when plot3d didn't work.

I had in mind -- if op(plot3d) contains undefined then create implicitplot3d. 

Input is welcome. 

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