Difference between revisions of "Results of Bessel Functions"

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(Created page with "{| class="wikitable sortable" |- ! DLMF !! Formula !! Maple !! Mathematica !! Symbolic<br>Maple !! Symbolic<br>Mathematica !! Numeric<br>Maple !! Numeric<br>Mathematica |- | [...")
 
 
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! DLMF !! Formula !! Maple !! Mathematica !! Symbolic<br>Maple !! Symbolic<br>Mathematica !! Numeric<br>Maple !! Numeric<br>Mathematica
 
! DLMF !! Formula !! Maple !! Mathematica !! Symbolic<br>Maple !! Symbolic<br>Mathematica !! Numeric<br>Maple !! Numeric<br>Mathematica
 
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| [https://dlmf.nist.gov/10.2.E1 10.2.E1] || [[Item:Q3005|<math>z^{2}\deriv[2]{w}{z}+z\deriv{w}{z}+(z^{2}-\nu^{2})w = 0</math>]] || <code>(z)^(2)* diff(w, [z$(2)])+ z*diff(w, z)+((z)^(2)- (nu)^(2))* w = 0</code> || <code>(z)^(2)* D[w, {z, 2}]+ z*D[w, z]+((z)^(2)- (\[Nu])^(2))* w = 0</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>11.31370849-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>11.31370849-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849+11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849+11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>11.31370849+11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>11.31370849+11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849+11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849+11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>11.31370849+11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>11.31370849+11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>11.31370849-11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>11.31370849-11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>11.31370849-11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>11.31370849-11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849+11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849+11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>11.31370849+11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>11.31370849+11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849+11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849+11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>11.31370849+11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>11.31370849+11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>11.31370849-11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>11.31370849-11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.2.E1 10.2.E1] || [[Item:Q3005|<math>z^{2}\deriv[2]{w}{z}+z\deriv{w}{z}+(z^{2}-\nu^{2})w = 0</math>]] || <code>(z)^(2)* diff(w, [z$(2)])+ z*diff(w, z)+((z)^(2)- (nu)^(2))* w = 0</code> || <code>(z)^(2)* D[w, {z, 2}]+ z*D[w, z]+((z)^(2)- (\[Nu])^(2))* w = 0</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>11.31370849-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>11.31370849-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
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| [https://dlmf.nist.gov/10.2.E2 10.2.E2] || [[Item:Q3006|<math>\BesselJ{\nu}@{z} = (\tfrac{1}{2}z)^{\nu}\sum_{k=0}^{\infty}(-1)^{k}\frac{(\tfrac{1}{4}z^{2})^{k}}{k!\EulerGamma@{\nu+k+1}}</math>]] || <code>BesselJ(nu, z)=((1)/(2)*z)^(nu)* sum((- 1)^(k)*(((1)/(4)*(z)^(2))^(k))/(factorial(k)*GAMMA(nu + k + 1)), k = 0..infinity)</code> || <code>BesselJ[\[Nu], z]=(Divide[1,2]*z)^(\[Nu])* Sum[(- 1)^(k)*Divide[(Divide[1,4]*(z)^(2))^(k),(k)!*Gamma[\[Nu]+ k + 1]], {k, 0, Infinity}]</code> || Successful || Successful || - || -  
 
| [https://dlmf.nist.gov/10.2.E2 10.2.E2] || [[Item:Q3006|<math>\BesselJ{\nu}@{z} = (\tfrac{1}{2}z)^{\nu}\sum_{k=0}^{\infty}(-1)^{k}\frac{(\tfrac{1}{4}z^{2})^{k}}{k!\EulerGamma@{\nu+k+1}}</math>]] || <code>BesselJ(nu, z)=((1)/(2)*z)^(nu)* sum((- 1)^(k)*(((1)/(4)*(z)^(2))^(k))/(factorial(k)*GAMMA(nu + k + 1)), k = 0..infinity)</code> || <code>BesselJ[\[Nu], z]=(Divide[1,2]*z)^(\[Nu])* Sum[(- 1)^(k)*Divide[(Divide[1,4]*(z)^(2))^(k),(k)!*Gamma[\[Nu]+ k + 1]], {k, 0, Infinity}]</code> || Successful || Successful || - || -  
Line 55: Line 55:
 
| [https://dlmf.nist.gov/10.5.E5 10.5.E5] || [[Item:Q3028|<math>\HankelH{1}{\nu+1}@{z}\HankelH{2}{\nu}@{z}-\HankelH{1}{\nu}@{z}\HankelH{2}{\nu+1}@{z} = -4i/(\pi z)</math>]] || <code>HankelH1(nu + 1, z)*HankelH2(nu, z)- HankelH1(nu, z)*HankelH2(nu + 1, z)= - 4*I/(Pi*z)</code> || <code>HankelH1[\[Nu]+ 1, z]*HankelH2[\[Nu], z]- HankelH1[\[Nu], z]*HankelH2[\[Nu]+ 1, z]= - 4*I/(Pi*z)</code> || Failure || Successful || Successful || -  
 
| [https://dlmf.nist.gov/10.5.E5 10.5.E5] || [[Item:Q3028|<math>\HankelH{1}{\nu+1}@{z}\HankelH{2}{\nu}@{z}-\HankelH{1}{\nu}@{z}\HankelH{2}{\nu+1}@{z} = -4i/(\pi z)</math>]] || <code>HankelH1(nu + 1, z)*HankelH2(nu, z)- HankelH1(nu, z)*HankelH2(nu + 1, z)= - 4*I/(Pi*z)</code> || <code>HankelH1[\[Nu]+ 1, z]*HankelH2[\[Nu], z]- HankelH1[\[Nu], z]*HankelH2[\[Nu]+ 1, z]= - 4*I/(Pi*z)</code> || Failure || Successful || Successful || -  
 
|-
 
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| [https://dlmf.nist.gov/10.6#Ex11 10.6#Ex11] || [[Item:Q3044|<math>p_{\nu} = \BesselJ{\nu}@{a}\BesselY{\nu}@{b}-\BesselJ{\nu}@{b}\BesselY{\nu}@{a}</math>]] || <code>p[nu]= BesselJ(nu, a)*BesselY(nu, b)- BesselJ(nu, b)*BesselY(nu, a)</code> || <code>Subscript[p, \[Nu]]= BesselJ[\[Nu], a]*BesselY[\[Nu], b]- BesselJ[\[Nu], b]*BesselY[\[Nu], a]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>4.348650218+3.015924364*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>4.348650218+.187497240*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>1.520223094+.187497240*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>1.520223094+3.015924364*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.520223094+3.015924364*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.520223094+.1874972397*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.348650218+.1874972397*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.348650218+3.015924364*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>4.34865021+3.01592436*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>4.34865021+.18749724*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>1.52022309+.18749724*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>1.52022309+3.01592436*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.52022309+3.01592436*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.52022309+.18749724*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.34865021+.18749724*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.34865021+3.01592436*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-13.55685518-13.99893021*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-13.55685518-16.82735733*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-16.38528230-16.82735733*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-16.38528230-13.99893021*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>6.374923539-6.573677327*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>6.374923539-9.402104451*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>3.546496415-9.402104451*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>3.546496415-6.573677327*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-13.55685517-13.99893020*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-13.55685517-16.82735733*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-16.38528229-16.82735733*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-16.38528229-13.99893020*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>6.37492353-6.57367732*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>6.37492353-9.40210444*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>3.54649641-9.40210444*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>3.54649641-6.57367732*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.8063697426+1.732521184*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.8063697426-1.095905940*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.022057381-1.095905940*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.022057381+1.732521184*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>2.02205741+1.7325212*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>2.02205741-1.0959060*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.80636971-1.0959060*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.80636971+1.7325212*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.806370+1.732521*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.806370-1.095907*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.022058-1.095907*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.022058+1.732521*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>2.022057382+1.732521183*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>2.022057382-1.095905940*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.8063697420-1.095905940*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.8063697420+1.732521183*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.520223094-.1874972397*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.520223094-3.015924364*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.348650218-3.015924364*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.348650218-.1874972397*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>4.348650218-.187497240*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>4.348650218-3.015924364*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>1.520223094-3.015924364*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>1.520223094-.187497240*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.52022309-.18749724*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.52022309-3.01592436*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.34865021-3.01592436*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.34865021-.18749724*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>4.34865021-.18749724*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>4.34865021-3.01592436*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>1.52022309-3.01592436*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>1.52022309-.18749724*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>2.02205741+1.0959060*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>2.02205741-1.7325212*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.80636971-1.7325212*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.80636971+1.0959060*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.8063697426+1.095905940*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.8063697426-1.732521184*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.022057381-1.732521184*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.022057381+1.095905940*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>2.022057382+1.095905940*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>2.022057382-1.732521183*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.8063697420-1.732521183*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.8063697420+1.095905940*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.806370+1.095907*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.806370-1.732521*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.022058-1.732521*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.022058+1.095907*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>6.374923539+9.402104451*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>6.374923539+6.573677327*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>3.546496415+6.573677327*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>3.546496415+9.402104451*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-13.55685518+16.82735733*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-13.55685518+13.99893021*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-16.38528230+13.99893021*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-16.38528230+16.82735733*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>6.37492353+9.40210444*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>6.37492353+6.57367732*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>3.54649641+6.57367732*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>3.54649641+9.40210444*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-13.55685517+16.82735733*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-13.55685517+13.99893020*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-16.38528229+13.99893020*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-16.38528229+16.82735733*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>16.38528230+16.82735733*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>16.38528230+13.99893021*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>13.55685518+13.99893021*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>13.55685518+16.82735733*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-3.546496415+9.402104451*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-3.546496415+6.573677327*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-6.374923539+6.573677327*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.374923539+9.402104451*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>16.38528230+16.82735732*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>16.38528230+13.99893020*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>13.55685517+13.99893020*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>13.55685517+16.82735732*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-3.54649641+9.40210444*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-3.54649641+6.57367732*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-6.37492353+6.57367732*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.37492353+9.40210444*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.80636971+1.7325212*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.80636971-1.0959060*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.02205741-1.0959060*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.02205741+1.7325212*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>2.022057381+1.732521184*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>2.022057381-1.095905940*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.8063697426-1.095905940*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.8063697426+1.732521184*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.8063697425+1.732521184*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.8063697425-1.095905940*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.022057382-1.095905940*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.022057382+1.732521184*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>2.022058+1.732521*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>2.022058-1.095907*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.806370-1.095907*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.806370+1.732521*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-13.84051400-57.20034198*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-13.84051400-60.02876910*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-16.66894112-60.02876910*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-16.66894112-57.20034198*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>16.66894112-57.20034197*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>16.66894112-60.02876910*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>13.84051400-60.02876910*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>13.84051400-57.20034197*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-13.84051400-57.20034198*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-13.84051400-60.02876910*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-16.66894112-60.02876910*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-16.66894112-57.20034198*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>16.66894112-57.20034198*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>16.66894112-60.02876910*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>13.84051400-60.02876910*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>13.84051400-57.20034198*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>2.022057381+1.095905940*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>2.022057381-1.732521184*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.8063697426-1.732521184*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.8063697426+1.095905940*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.80636971+1.0959060*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.80636971-1.7325212*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.02205741-1.7325212*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.02205741+1.0959060*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>2.022058+1.095907*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>2.022058-1.732521*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.806370-1.732521*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.806370+1.095907*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.8063697425+1.095905940*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.8063697425-1.732521184*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.022057382-1.732521184*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.022057382+1.095905940*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-3.546496415-6.573677327*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-3.546496415-9.402104451*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-6.374923539-9.402104451*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.374923539-6.573677327*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>16.38528230-13.99893021*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>16.38528230-16.82735733*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>13.55685518-16.82735733*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>13.55685518-13.99893021*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-3.54649641-6.57367732*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-3.54649641-9.40210444*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-6.37492353-9.40210444*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.37492353-6.57367732*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>16.38528230-13.99893020*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>16.38528230-16.82735732*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>13.55685517-16.82735732*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>13.55685517-13.99893020*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>16.66894112+60.02876910*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>16.66894112+57.20034197*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>13.84051400+57.20034197*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>13.84051400+60.02876910*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-13.84051400+60.02876910*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-13.84051400+57.20034198*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-16.66894112+57.20034198*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-16.66894112+60.02876910*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>16.66894112+60.02876910*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>16.66894112+57.20034198*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>13.84051400+57.20034198*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>13.84051400+60.02876910*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-13.84051400+60.02876910*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-13.84051400+57.20034198*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-16.66894112+57.20034198*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-16.66894112+60.02876910*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br></div></div> || Skip  
+
| [https://dlmf.nist.gov/10.6#Ex11 10.6#Ex11] || [[Item:Q3044|<math>p_{\nu} = \BesselJ{\nu}@{a}\BesselY{\nu}@{b}-\BesselJ{\nu}@{b}\BesselY{\nu}@{a}</math>]] || <code>p[nu]= BesselJ(nu, a)*BesselY(nu, b)- BesselJ(nu, b)*BesselY(nu, a)</code> || <code>Subscript[p, \[Nu]]= BesselJ[\[Nu], a]*BesselY[\[Nu], b]- BesselJ[\[Nu], b]*BesselY[\[Nu], a]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), p[nu] = -2^(1/2)+I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || Skip  
 
|-
 
|-
| [https://dlmf.nist.gov/10.6#Ex12 10.6#Ex12] || [[Item:Q3045|<math>q_{\nu} = \BesselJ{\nu}@{a}\BesselY{\nu}'@{b}-\BesselJ{\nu}'@{b}\BesselY{\nu}@{a}</math>]] || <code>q[nu]= BesselJ(nu, a)*subs( temp=b, diff( BesselY(nu, temp), temp$(1) ) )- subs( temp=b, diff( BesselJ(nu, temp), temp$(1) ) )*BesselY(nu, a)</code> || <code>Subscript[q, \[Nu]]= BesselJ[\[Nu], a]*(D[BesselY[\[Nu], temp], {temp, 1}]/.temp-> b)- (D[BesselJ[\[Nu], temp], {temp, 1}]/.temp-> b)*BesselY[\[Nu], a]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>1.189134483+1.639292641*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.189134483-1.189134483*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292641-1.189134483*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292641+1.639292641*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.18913448+1.63929264*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.18913448-1.18913448*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.63929264-1.18913448*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.63929264+1.63929264*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.1891346+1.6392928*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.1891346-1.1891344*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.6392926-1.1891344*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.6392926+1.6392928*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.189134482+1.639292640*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.189134482-1.189134484*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292642-1.189134484*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292642+1.639292640*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-.889066698+5.175919000*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-.889066698+2.347491876*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.717493822+2.347491876*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.717493822+5.175919000*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>2.419001592-.8076561521*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>2.419001592-3.636083276*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.4094255317-3.636083276*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.4094255317-.8076561521*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-.88906668+5.17591901*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-.88906668+2.34749189*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.71749380+2.34749189*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.71749380+5.17591901*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>2.41900159-.8076561517*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>2.41900159-3.636083276*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.40942553-3.636083276*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.40942553-.8076561517*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>12.80385927+9.336912208*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>12.80385927+6.508485084*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>9.975432149+6.508485084*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>9.975432149+9.336912208*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-11.20868920-5.907442729*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-11.20868920-8.735869853*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-14.03711632-8.735869853*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-14.03711632-5.907442729*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>12.80385927+9.336912199*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>12.80385927+6.508485079*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>9.975432147+6.508485079*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>9.975432147+9.336912199*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-11.20868919-5.9074427*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-11.20868919-8.7358699*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-14.03711631-8.7358699*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-14.03711631-5.9074427*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.8397974499+.4262484587*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.8397974499-2.402178665*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.988629674-2.402178665*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.988629674+.4262484587*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.04511848+1.09369324*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.04511848-1.73473388*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.78330864-1.73473388*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.78330864+1.09369324*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.839797+.426250*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.839797-2.402178*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.988631-2.402178*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.988631+.426250*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.045118505+1.093693256*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.045118505-1.734733868*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.783308618-1.734733868*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.783308618+1.093693256*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>2.419001592+3.636083276*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>2.419001592+.8076561521*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.4094255317+.8076561521*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.4094255317+3.636083276*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-.889066698-2.347491876*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-.889066698-5.175919000*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.717493822-5.175919000*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.717493822-2.347491876*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>2.41900159+3.636083276*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>2.41900159+.8076561517*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.40942553+.8076561517*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.40942553+3.636083276*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-.88906668-2.34749189*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-.88906668-5.17591901*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.71749380-5.17591901*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.71749380-2.34749189*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.18913448+1.18913448*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.18913448-1.63929264*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.63929264-1.63929264*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.63929264+1.18913448*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.189134483+1.189134483*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.189134483-1.639292641*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292641-1.639292641*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292641+1.189134483*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.189134482+1.189134484*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.189134482-1.639292640*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292642-1.639292640*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292642+1.189134484*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.1891346+1.1891344*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.1891346-1.6392928*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.6392926-1.6392928*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.6392926+1.1891344*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.04511848+1.73473388*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.04511848-1.09369324*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.78330864-1.09369324*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.78330864+1.73473388*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.8397974499+2.402178665*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.8397974499-.4262484587*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.988629674-.4262484587*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.988629674+2.402178665*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.045118505+1.734733868*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.045118505-1.093693256*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.783308618-1.093693256*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.783308618+1.734733868*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.839797+2.402178*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.839797-.426250*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.988631-.426250*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.988631+2.402178*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-11.20868920+8.735869853*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-11.20868920+5.907442729*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-14.03711632+5.907442729*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-14.03711632+8.735869853*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>12.80385927-6.508485084*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>12.80385927-9.336912208*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>9.975432149-9.336912208*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>9.975432149-6.508485084*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-11.20868919+8.7358699*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-11.20868919+5.9074427*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-14.03711631+5.9074427*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-14.03711631+8.7358699*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>12.80385927-6.508485079*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>12.80385927-9.336912199*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>9.975432147-9.336912199*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>9.975432147-6.508485079*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-.543168567-14.20173225*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-.543168567-17.03015937*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.371595691-17.03015937*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.371595691-14.20173225*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>12.32995526+7.439585112*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>12.32995526+4.611157988*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>9.501528139+4.611157988*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>9.501528139+7.439585112*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-.543168568-14.20173226*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-.543168568-17.03015938*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.371595692-17.03015938*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.371595692-14.20173226*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>12.32995524+7.4395852*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>12.32995524+4.6111580*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>9.50152812+4.6111580*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>9.50152812+7.4395852*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.9886297+2.40217864*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.9886297-.42624848*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.8397975-.42624848*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.8397975+2.40217864*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.783308618+1.734733868*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.783308618-1.093693256*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.045118506-1.093693256*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.045118506+1.734733868*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.988629675+2.402178666*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.988629675-.4262484586*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.8397974494-.4262484586*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.8397974494+2.402178666*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.7833087+1.734735*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.7833087-1.093693*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.0451185-1.093693*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.0451185+1.734735*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.63929270+1.1891345*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.63929270-1.6392927*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.18913442-1.6392927*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.18913442+1.1891345*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.639292641+1.189134483*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.639292641-1.639292641*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134483-1.639292641*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134483+1.189134483*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.639292641+1.189134482*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.639292641-1.639292642*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134483-1.639292642*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134483+1.189134482*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.63930+1.1891350*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.63930-1.6392922*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.18912-1.6392922*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.18912+1.1891350*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>93.06899019-19.52376201*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>93.06899019-22.35218913*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>90.24056307-22.35218913*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>90.24056307-19.52376201*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-15.48788619+36.69236261*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-15.48788619+33.86393549*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-18.31631332+33.86393549*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-18.31631332+36.69236261*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>93.06899019-19.52376200*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>93.06899019-22.35218912*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>90.24056307-22.35218912*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>90.24056307-19.52376200*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-15.48788620+36.69236260*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-15.48788620+33.86393548*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-18.31631332+33.86393548*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-18.31631332+36.69236260*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.783308618+1.093693256*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.783308618-1.734733868*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.045118506-1.734733868*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.045118506+1.093693256*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.9886297+.42624848*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.9886297-2.40217864*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.8397975-2.40217864*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.8397975+.42624848*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.7833087+1.093693*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.7833087-1.734735*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.0451185-1.734735*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.0451185+1.093693*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.988629675+.4262484586*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.988629675-2.402178666*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.8397974494-2.402178666*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.8397974494+.4262484586*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>12.32995526-4.611157988*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>12.32995526-7.439585112*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>9.501528139-7.439585112*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>9.501528139-4.611157988*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-.543168567+17.03015937*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-.543168567+14.20173225*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.371595691+14.20173225*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.371595691+17.03015937*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>12.32995524-4.6111580*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>12.32995524-7.4395852*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>9.50152812-7.4395852*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>9.50152812-4.6111580*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-.543168568+17.03015938*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-.543168568+14.20173226*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.371595692+14.20173226*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.371595692+17.03015938*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-15.48788619-33.86393549*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-15.48788619-36.69236261*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-18.31631332-36.69236261*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-18.31631332-33.86393549*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>93.06899019+22.35218913*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>93.06899019+19.52376201*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>90.24056307+19.52376201*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>90.24056307+22.35218913*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-15.48788620-33.86393548*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-15.48788620-36.69236260*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-18.31631332-36.69236260*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-18.31631332-33.86393548*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>93.06899019+22.35218912*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>93.06899019+19.52376200*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>90.24056307+19.52376200*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>90.24056307+22.35218912*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.639292641+1.639292641*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.639292641-1.189134483*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134483-1.189134483*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134483+1.639292641*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.63929270+1.6392927*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.63929270-1.1891345*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.18913442-1.1891345*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.18913442+1.6392927*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.63930+1.6392922*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.63930-1.1891350*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.18912-1.1891350*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.18912+1.6392922*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.639292641+1.639292642*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.639292641-1.189134482*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134483-1.189134482*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134483+1.639292642*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br></div></div> || Skip  
+
| [https://dlmf.nist.gov/10.6#Ex12 10.6#Ex12] || [[Item:Q3045|<math>q_{\nu} = \BesselJ{\nu}@{a}\BesselY{\nu}'@{b}-\BesselJ{\nu}'@{b}\BesselY{\nu}@{a}</math>]] || <code>q[nu]= BesselJ(nu, a)*subs( temp=b, diff( BesselY(nu, temp), temp$(1) ) )- subs( temp=b, diff( BesselJ(nu, temp), temp$(1) ) )*BesselY(nu, a)</code> || <code>Subscript[q, \[Nu]]= BesselJ[\[Nu], a]*(D[BesselY[\[Nu], temp], {temp, 1}]/.temp-> b)- (D[BesselJ[\[Nu], temp], {temp, 1}]/.temp-> b)*BesselY[\[Nu], a]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>1.189134483+1.639292641*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.189134483-1.189134483*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292641-1.189134483*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292641+1.639292641*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), q[nu] = -2^(1/2)+I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || Skip  
 
|-
 
|-
| [https://dlmf.nist.gov/10.6#Ex13 10.6#Ex13] || [[Item:Q3046|<math>r_{\nu} = \BesselJ{\nu}'@{a}\BesselY{\nu}@{b}-\BesselJ{\nu}@{b}\BesselY{\nu}'@{a}</math>]] || <code>r[nu]= subs( temp=a, diff( BesselJ(nu, temp), temp$(1) ) )*BesselY(nu, b)- BesselJ(nu, b)*subs( temp=a, diff( BesselY(nu, temp), temp$(1) ) )</code> || <code>Subscript[r, \[Nu]]= (D[BesselJ[\[Nu], temp], {temp, 1}]/.temp-> a)*BesselY[\[Nu], b]- BesselJ[\[Nu], b]*(D[BesselY[\[Nu], temp], {temp, 1}]/.temp-> a)</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>1.639292641+1.189134483*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.639292641-1.639292641*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134483-1.639292641*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134483+1.189134483*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.63929264+1.18913448*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.63929264-1.63929264*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.18913448-1.63929264*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.18913448+1.18913448*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.6392926+1.1891344*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.6392926-1.6392928*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.1891346-1.6392928*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.1891346+1.1891344*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.639292642+1.189134484*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.639292642-1.639292640*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134482-1.639292640*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134482+1.189134484*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.409425532-.8076561521*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.409425532-3.636083276*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.419001592-3.636083276*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.419001592-.8076561521*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>3.717493822+5.175919000*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>3.717493822+2.347491876*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>.889066698+2.347491876*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>.889066698+5.175919000*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.40942553-.807656152*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.40942553-3.636083276*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.41900159-3.636083276*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.41900159-.807656152*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>3.71749380+5.17591901*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>3.71749380+2.34749189*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>.88906668+2.34749189*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>.88906668+5.17591901*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>3.371595691+17.03015937*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>3.371595691+14.20173225*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>.543168567+14.20173225*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>.543168567+17.03015937*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-9.501528139-4.611157988*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-9.501528139-7.439585112*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-12.32995526-7.439585112*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-12.32995526-4.611157988*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>3.371595692+17.03015938*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>3.371595692+14.20173226*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>.543168568+14.20173226*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>.543168568+17.03015938*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-9.50152812-4.6111580*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-9.50152812-7.4395852*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-12.32995524-7.4395852*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-12.32995524-4.6111580*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.045118506+1.734733868*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.045118506-1.093693256*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.783308618-1.093693256*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.783308618+1.734733868*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.8397975+2.40217864*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.8397975-.42624848*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.9886297-.42624848*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.9886297+2.40217864*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.0451185+1.734735*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.0451185-1.093693*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.7833087-1.093693*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.7833087+1.734735*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.8397974496+2.402178666*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.8397974496-.4262484586*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.988629675-.4262484586*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.988629675+2.402178666*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>3.717493822-2.347491876*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>3.717493822-5.175919000*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>.889066698-5.175919000*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>.889066698-2.347491876*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.409425532+3.636083276*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.409425532+.8076561521*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.419001592+.8076561521*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.419001592+3.636083276*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>3.71749380-2.34749189*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>3.71749380-5.17591901*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>.88906668-5.17591901*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>.88906668-2.34749189*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.40942553+3.636083276*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.40942553+.807656152*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.41900159+.807656152*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.41900159+3.636083276*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.63929264+1.63929264*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.63929264-1.18913448*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.18913448-1.18913448*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.18913448+1.63929264*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.639292641+1.639292641*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.639292641-1.189134483*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134483-1.189134483*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134483+1.639292641*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.639292642+1.639292640*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.639292642-1.189134484*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134482-1.189134484*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134482+1.639292640*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.6392926+1.6392928*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.6392926-1.1891344*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.1891346-1.1891344*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.1891346+1.6392928*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.8397975+.42624848*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.8397975-2.40217864*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.9886297-2.40217864*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.9886297+.42624848*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.045118506+1.093693256*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.045118506-1.734733868*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.783308618-1.734733868*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.783308618+1.093693256*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.8397974496+.4262484586*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.8397974496-2.402178666*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.988629675-2.402178666*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.988629675+.4262484586*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.0451185+1.093693*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.0451185-1.734735*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.7833087-1.734735*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.7833087+1.093693*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-9.501528139+7.439585112*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-9.501528139+4.611157988*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-12.32995526+4.611157988*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-12.32995526+7.439585112*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>3.371595691-14.20173225*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>3.371595691-17.03015937*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>.543168567-17.03015937*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>.543168567-14.20173225*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-9.50152812+7.4395852*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-9.50152812+4.6111580*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-12.32995524+4.6111580*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-12.32995524+7.4395852*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>3.371595692-14.20173226*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>3.371595692-17.03015938*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>.543168568-17.03015938*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>.543168568-14.20173226*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-9.975432149-6.508485084*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-9.975432149-9.336912206*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-12.80385927-9.336912206*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-12.80385927-6.508485084*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>14.03711632+8.735869853*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>14.03711632+5.907442729*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>11.20868919+5.907442729*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>11.20868919+8.735869853*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-9.975432147-6.508485077*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-9.975432147-9.336912201*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-12.80385927-9.336912201*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-12.80385927-6.508485077*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>14.03711631+8.7358699*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>14.03711631+5.9074427*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>11.20868919+5.9074427*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>11.20868919+8.7358699*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.78330864+1.09369324*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.78330864-1.73473388*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.04511848-1.73473388*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.04511848+1.09369324*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.988629674+.4262484586*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.988629674-2.402178665*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.8397974499-2.402178665*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.8397974499+.4262484586*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.783308618+1.093693256*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.783308618-1.734733868*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.045118506-1.734733868*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.045118506+1.093693256*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.988631+.426250*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.988631-2.402178*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.839797-2.402178*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.839797+.426250*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.18913442+1.6392927*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.18913442-1.1891345*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.63929270-1.1891345*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.63929270+1.6392927*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.189134483+1.639292641*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.189134483-1.189134483*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292641-1.189134483*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292641+1.639292641*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.189134483+1.639292642*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.189134483-1.189134482*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292641-1.189134482*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292641+1.639292642*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.18912+1.6392922*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.18912-1.1891350*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.63930-1.1891350*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.63930+1.6392922*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>18.31631331+36.69236261*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>18.31631331+33.86393549*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>15.48788619+33.86393549*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>15.48788619+36.69236261*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-90.24056307-19.52376201*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-90.24056307-22.35218913*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-93.06899020-22.35218913*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-93.06899020-19.52376201*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>18.31631332+36.69236260*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>18.31631332+33.86393548*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>15.48788620+33.86393548*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>15.48788620+36.69236260*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-90.24056307-19.52376200*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-90.24056307-22.35218912*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-93.06899019-22.35218912*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-93.06899019-19.52376200*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.988629674+2.402178665*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.988629674-.4262484586*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.8397974499-.4262484586*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.8397974499+2.402178665*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.78330864+1.73473388*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.78330864-1.09369324*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.04511848-1.09369324*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.04511848+1.73473388*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.988631+2.402178*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.988631-.426250*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.839797-.426250*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.839797+2.402178*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.783308618+1.734733868*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.783308618-1.093693256*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.045118506-1.093693256*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.045118506+1.734733868*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>14.03711632-5.907442729*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>14.03711632-8.735869853*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>11.20868919-8.735869853*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>11.20868919-5.907442729*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-9.975432149+9.336912206*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-9.975432149+6.508485084*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-12.80385927+6.508485084*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-12.80385927+9.336912206*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>14.03711631-5.9074427*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>14.03711631-8.7358699*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>11.20868919-8.7358699*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>11.20868919-5.9074427*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-9.975432147+9.336912201*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-9.975432147+6.508485077*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-12.80385927+6.508485077*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-12.80385927+9.336912201*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-90.24056307+22.35218913*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-90.24056307+19.52376201*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-93.06899020+19.52376201*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-93.06899020+22.35218913*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>18.31631331-33.86393549*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>18.31631331-36.69236261*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>15.48788619-36.69236261*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>15.48788619-33.86393549*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-90.24056307+22.35218912*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-90.24056307+19.52376200*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-93.06899019+19.52376200*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-93.06899019+22.35218912*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>18.31631332-33.86393548*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>18.31631332-36.69236260*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>15.48788620-36.69236260*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>15.48788620-33.86393548*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.189134483+1.189134483*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.189134483-1.639292641*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292641-1.639292641*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292641+1.189134483*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.18913442+1.1891345*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.18913442-1.6392927*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.63929270-1.6392927*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.63929270+1.1891345*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.18912+1.1891350*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.18912-1.6392922*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.63930-1.6392922*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.63930+1.1891350*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.189134483+1.189134482*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.189134483-1.639292642*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292641-1.639292642*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.639292641+1.189134482*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br></div></div> || Skip  
+
| [https://dlmf.nist.gov/10.6#Ex13 10.6#Ex13] || [[Item:Q3046|<math>r_{\nu} = \BesselJ{\nu}'@{a}\BesselY{\nu}@{b}-\BesselJ{\nu}@{b}\BesselY{\nu}'@{a}</math>]] || <code>r[nu]= subs( temp=a, diff( BesselJ(nu, temp), temp$(1) ) )*BesselY(nu, b)- BesselJ(nu, b)*subs( temp=a, diff( BesselY(nu, temp), temp$(1) ) )</code> || <code>Subscript[r, \[Nu]]= (D[BesselJ[\[Nu], temp], {temp, 1}]/.temp-> a)*BesselY[\[Nu], b]- BesselJ[\[Nu], b]*(D[BesselY[\[Nu], temp], {temp, 1}]/.temp-> a)</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>1.639292641+1.189134483*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.639292641-1.639292641*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134483-1.639292641*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.189134483+1.189134483*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), r[nu] = -2^(1/2)+I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || Skip  
 
|-
 
|-
| [https://dlmf.nist.gov/10.6#Ex14 10.6#Ex14] || [[Item:Q3047|<math>s_{\nu} = \BesselJ{\nu}'@{a}\BesselY{\nu}'@{b}-\BesselJ{\nu}'@{b}\BesselY{\nu}'@{a}</math>]] || <code>s[nu]= subs( temp=a, diff( BesselJ(nu, temp), temp$(1) ) )*subs( temp=b, diff( BesselY(nu, temp), temp$(1) ) )- subs( temp=b, diff( BesselJ(nu, temp), temp$(1) ) )*subs( temp=a, diff( BesselY(nu, temp), temp$(1) ) )</code> || <code>Subscript[s, \[Nu]]= (D[BesselJ[\[Nu], temp], {temp, 1}]/.temp-> a)*(D[BesselY[\[Nu], temp], {temp, 1}]/.temp-> b)- (D[BesselJ[\[Nu], temp], {temp, 1}]/.temp-> b)*(D[BesselY[\[Nu], temp], {temp, 1}]/.temp-> a)</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>4.434639355+.221488357*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>4.434639355-2.606938767*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>1.606212231-2.606938767*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>1.606212231+.221488357*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606212231+.221488357*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606212231-2.606938767*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434639355-2.606938767*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434639355+.221488357*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>4.434639353+.22148833*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>4.434639353-2.60693879*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>1.606212229-2.60693879*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>1.606212229+.22148833*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606212229+.22148833*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606212229-2.60693879*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434639353-2.60693879*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434639353+.22148833*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.755617236-8.245223911*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.755617236-11.07365104*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.584044360-11.07365104*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.584044360-8.245223911*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-7.431222799+18.63431494*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-7.431222799+15.80588782*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-10.25964993+15.80588782*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-10.25964993+18.63431494*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.755617238-8.245223914*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.755617238-11.07365104*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.584044362-11.07365104*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.584044362-8.245223914*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-7.4312229+18.63431488*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-7.4312229+15.80588776*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-10.2596501+15.80588776*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-10.2596501+18.63431488*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.9845180028+.8921775228*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.9845180028-1.936249601*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.843909121-1.936249601*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.843909121+.8921775228*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.8439091+.89217754*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.8439091-1.93624958*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.9845181-1.93624958*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.9845181+.89217754*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.984519+.8921775*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.984519-1.9362497*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.843909-1.9362497*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.843909+.8921775*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.843909121+.8921775226*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.843909121-1.936249602*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.9845180029-1.936249602*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.9845180029+.8921775226*I <- {a = 2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606212231+2.606938767*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606212231-.221488357*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434639355-.221488357*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434639355+2.606938767*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>4.434639355+2.606938767*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>4.434639355-.221488357*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>1.606212231-.221488357*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>1.606212231+2.606938767*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606212229+2.60693879*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606212229-.22148833*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434639353-.22148833*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434639353+2.60693879*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>4.434639353+2.60693879*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>4.434639353-.22148833*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>1.606212229-.22148833*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>1.606212229+2.60693879*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.8439091+1.93624958*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.8439091-.89217754*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.9845181-.89217754*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.9845181+1.93624958*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.9845180028+1.936249601*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.9845180028-.8921775228*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.843909121-.8921775228*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.843909121+1.936249601*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.843909121+1.936249602*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.843909121-.8921775226*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.9845180029-.8921775226*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.9845180029+1.936249602*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.984519+1.9362497*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.984519-.8921775*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.843909-.8921775*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.843909+1.9362497*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-7.431222799-15.80588782*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-7.431222799-18.63431494*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-10.25964993-18.63431494*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-10.25964993-15.80588782*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.755617236+11.07365104*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.755617236+8.245223911*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.584044360+8.245223911*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.584044360+11.07365104*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-7.4312229-15.80588776*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-7.4312229-18.63431488*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-10.2596501-18.63431488*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-10.2596501-15.80588776*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.755617238+11.07365104*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.755617238+8.245223914*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.584044362+8.245223914*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.584044362+11.07365104*I <- {a = 2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>4.584044360+11.07365104*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>4.584044360+8.245223911*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>1.755617236+8.245223911*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>1.755617236+11.07365104*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>10.25964992-15.80588782*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>10.25964992-18.63431494*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>7.431222799-18.63431494*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>7.431222799-15.80588782*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>4.584044362+11.07365104*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>4.584044362+8.245223914*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>1.755617238+8.245223914*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>1.755617238+11.07365104*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>10.2596501-15.80588776*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>10.2596501-18.63431488*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>7.4312229-18.63431488*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>7.4312229-15.80588776*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.9845181+.89217754*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.9845181-1.93624958*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.8439091-1.93624958*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.8439091+.89217754*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.843909121+.8921775225*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.843909121-1.936249602*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.9845180030-1.936249602*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.9845180030+.8921775225*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.9845180028+.8921775221*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.9845180028-1.936249602*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.843909121-1.936249602*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.843909121+.8921775221*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.843909+.8921775*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.843909-1.9362497*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.984519-1.9362497*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.984519+.8921775*I <- {a = -2^(1/2)-I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-54.10985401+25.99698119*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-54.10985401+23.16855407*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-56.93828113+23.16855407*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-56.93828113+25.99698119*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>56.93828114+25.99698119*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>56.93828114+23.16855406*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>54.10985401+23.16855406*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>54.10985401+25.99698119*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-54.10985398+25.99698120*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-54.10985398+23.16855408*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-56.93828110+23.16855408*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-56.93828110+25.99698120*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>56.93828110+25.99698120*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>56.93828110+23.16855408*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>54.10985398+23.16855408*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>54.10985398+25.99698120*I <- {a = -2^(1/2)-I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.843909121+1.936249602*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.843909121-.8921775225*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.9845180030-.8921775225*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.9845180030+1.936249602*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.9845181+1.93624958*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.9845181-.89217754*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.8439091-.89217754*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.8439091+1.93624958*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.843909+1.9362497*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.843909-.8921775*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-.984519-.8921775*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.984519+1.9362497*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.9845180028+1.936249602*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>.9845180028-.8921775221*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.843909121-.8921775221*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.843909121+1.936249602*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>10.25964992+18.63431494*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>10.25964992+15.80588782*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>7.431222799+15.80588782*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>7.431222799+18.63431494*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>4.584044360-8.245223911*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>4.584044360-11.07365104*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>1.755617236-11.07365104*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>1.755617236-8.245223911*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>10.2596501+18.63431488*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>10.2596501+15.80588776*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>7.4312229+15.80588776*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>7.4312229+18.63431488*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>4.584044362-8.245223914*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>4.584044362-11.07365104*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>1.755617238-11.07365104*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>1.755617238-8.245223914*I <- {a = -2^(1/2)+I*2^(1/2), b = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>56.93828114-23.16855406*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>56.93828114-25.99698119*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>54.10985401-25.99698119*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>54.10985401-23.16855406*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-54.10985401-23.16855407*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-54.10985401-25.99698119*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-56.93828113-25.99698119*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-56.93828113-23.16855407*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>56.93828110-23.16855408*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>56.93828110-25.99698120*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>54.10985398-25.99698120*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>54.10985398-23.16855408*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-54.10985398-23.16855408*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-54.10985398-25.99698120*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-56.93828110-25.99698120*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-56.93828110-23.16855408*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562+1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = -2^(1/2)+I*2^(1/2), b = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br></div></div> || Skip  
+
| [https://dlmf.nist.gov/10.6#Ex14 10.6#Ex14] || [[Item:Q3047|<math>s_{\nu} = \BesselJ{\nu}'@{a}\BesselY{\nu}'@{b}-\BesselJ{\nu}'@{b}\BesselY{\nu}'@{a}</math>]] || <code>s[nu]= subs( temp=a, diff( BesselJ(nu, temp), temp$(1) ) )*subs( temp=b, diff( BesselY(nu, temp), temp$(1) ) )- subs( temp=b, diff( BesselJ(nu, temp), temp$(1) ) )*subs( temp=a, diff( BesselY(nu, temp), temp$(1) ) )</code> || <code>Subscript[s, \[Nu]]= (D[BesselJ[\[Nu], temp], {temp, 1}]/.temp-> a)*(D[BesselY[\[Nu], temp], {temp, 1}]/.temp-> b)- (D[BesselJ[\[Nu], temp], {temp, 1}]/.temp-> b)*(D[BesselY[\[Nu], temp], {temp, 1}]/.temp-> a)</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562-1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.414213562+1.414213562*I <- {a = 2^(1/2)+I*2^(1/2), b = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), s[nu] = -2^(1/2)+I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || Skip  
 
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| [https://dlmf.nist.gov/10.8.E1 10.8.E1] || [[Item:Q3063|<math>\BesselY{n}@{z} = -\frac{(\tfrac{1}{2}z)^{-n}}{\pi}\sum_{k=0}^{n-1}\frac{(n-k-1)!}{k!}\left(\tfrac{1}{4}z^{2}\right)^{k}+\frac{2}{\pi}\ln@{\tfrac{1}{2}z}\BesselJ{n}@{z}-\frac{(\tfrac{1}{2}z)^{n}}{\pi}\sum_{k=0}^{\infty}(\digamma@{k+1}+\digamma@{n+k+1})\frac{(-\tfrac{1}{4}z^{2})^{k}}{k!(n+k)!}</math>]] || <code>BesselY(n, z)= -(((1)/(2)*z)^(- n))/(Pi)*sum((factorial(n - k - 1))/(factorial(k))*((1)/(4)*(z)^(2))^(k), k = 0..n - 1)+(2)/(Pi)*ln((1)/(2)*z)*BesselJ(n, z)-(((1)/(2)*z)^(n))/(Pi)*sum((Psi(k + 1)+ Psi(n + k + 1))*((-(1)/(4)*(z)^(2))^(k))/(factorial(k)*factorial(n + k)), k = 0..infinity)</code> || <code>BesselY[n, z]= -Divide[(Divide[1,2]*z)^(- n),Pi]*Sum[Divide[(n - k - 1)!,(k)!]*(Divide[1,4]*(z)^(2))^(k), {k, 0, n - 1}]+Divide[2,Pi]*Log[Divide[1,2]*z]*BesselJ[n, z]-Divide[(Divide[1,2]*z)^(n),Pi]*Sum[(PolyGamma[k + 1]+ PolyGamma[n + k + 1])*Divide[(-Divide[1,4]*(z)^(2))^(k),(k)!*(n + k)!], {k, 0, Infinity}]</code> || Error || Failure || - || Successful  
 
| [https://dlmf.nist.gov/10.8.E1 10.8.E1] || [[Item:Q3063|<math>\BesselY{n}@{z} = -\frac{(\tfrac{1}{2}z)^{-n}}{\pi}\sum_{k=0}^{n-1}\frac{(n-k-1)!}{k!}\left(\tfrac{1}{4}z^{2}\right)^{k}+\frac{2}{\pi}\ln@{\tfrac{1}{2}z}\BesselJ{n}@{z}-\frac{(\tfrac{1}{2}z)^{n}}{\pi}\sum_{k=0}^{\infty}(\digamma@{k+1}+\digamma@{n+k+1})\frac{(-\tfrac{1}{4}z^{2})^{k}}{k!(n+k)!}</math>]] || <code>BesselY(n, z)= -(((1)/(2)*z)^(- n))/(Pi)*sum((factorial(n - k - 1))/(factorial(k))*((1)/(4)*(z)^(2))^(k), k = 0..n - 1)+(2)/(Pi)*ln((1)/(2)*z)*BesselJ(n, z)-(((1)/(2)*z)^(n))/(Pi)*sum((Psi(k + 1)+ Psi(n + k + 1))*((-(1)/(4)*(z)^(2))^(k))/(factorial(k)*factorial(n + k)), k = 0..infinity)</code> || <code>BesselY[n, z]= -Divide[(Divide[1,2]*z)^(- n),Pi]*Sum[Divide[(n - k - 1)!,(k)!]*(Divide[1,4]*(z)^(2))^(k), {k, 0, n - 1}]+Divide[2,Pi]*Log[Divide[1,2]*z]*BesselJ[n, z]-Divide[(Divide[1,2]*z)^(n),Pi]*Sum[(PolyGamma[k + 1]+ PolyGamma[n + k + 1])*Divide[(-Divide[1,4]*(z)^(2))^(k),(k)!*(n + k)!], {k, 0, Infinity}]</code> || Error || Failure || - || Successful  
 
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| [https://dlmf.nist.gov/10.9.E1 10.9.E1] || [[Item:Q3066|<math>\BesselJ{0}@{z} = \frac{1}{\pi}\int_{0}^{\pi}\cos@{z\sin@@{\theta}}\diff{\theta}</math>]] || <code>BesselJ(0, z)=(1)/(Pi)*int(cos(z*sin(theta)), theta = 0..Pi)</code> || <code>BesselJ[0, z]=Divide[1,Pi]*Integrate[Cos[z*Sin[\[Theta]]], {\[Theta], 0, Pi}]</code> || Successful || Failure || - || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[1.4142135623730951, 1.4142135623730951] <- {Rule[ConditionalExpression[Plus[BesselJ[0, z], Times[-1, BesselJ[0, Abs[z]]]], Element[z, Reals]], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.4142135623730951, -1.4142135623730951] <- {Rule[ConditionalExpression[Plus[BesselJ[0, z], Times[-1, BesselJ[0, Abs[z]]]], Element[z, Reals]], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, -1.4142135623730951] <- {Rule[ConditionalExpression[Plus[BesselJ[0, z], Times[-1, BesselJ[0, Abs[z]]]], Element[z, Reals]], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, 1.4142135623730951] <- {Rule[ConditionalExpression[Plus[BesselJ[0, z], Times[-1, BesselJ[0, Abs[z]]]], Element[z, Reals]], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>
+
| [https://dlmf.nist.gov/10.9.E1 10.9.E1] || [[Item:Q3066|<math>\BesselJ{0}@{z} = \frac{1}{\pi}\int_{0}^{\pi}\cos@{z\sin@@{\theta}}\diff{\theta}</math>]] || <code>BesselJ(0, z)=(1)/(Pi)*int(cos(z*sin(theta)), theta = 0..Pi)</code> || <code>BesselJ[0, z]=Divide[1,Pi]*Integrate[Cos[z*Sin[\[Theta]]], {\[Theta], 0, Pi}]</code> || Successful || Failure || - || Successful
 
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| [https://dlmf.nist.gov/10.9.E1 10.9.E1] || [[Item:Q3066|<math>\frac{1}{\pi}\int_{0}^{\pi}\cos@{z\sin@@{\theta}}\diff{\theta} = \frac{1}{\pi}\int_{0}^{\pi}\cos@{z\cos@@{\theta}}\diff{\theta}</math>]] || <code>(1)/(Pi)*int(cos(z*sin(theta)), theta = 0..Pi)=(1)/(Pi)*int(cos(z*cos(theta)), theta = 0..Pi)</code> || <code>Divide[1,Pi]*Integrate[Cos[z*Sin[\[Theta]]], {\[Theta], 0, Pi}]=Divide[1,Pi]*Integrate[Cos[z*Cos[\[Theta]]], {\[Theta], 0, Pi}]</code> || Successful || Failure || - || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[1.4142135623730951, 1.4142135623730951] <- {Rule[ConditionalExpression[0, Element[z, Reals]], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.4142135623730951, -1.4142135623730951] <- {Rule[ConditionalExpression[0, Element[z, Reals]], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, -1.4142135623730951] <- {Rule[ConditionalExpression[0, Element[z, Reals]], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, 1.4142135623730951] <- {Rule[ConditionalExpression[0, Element[z, Reals]], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>
+
| [https://dlmf.nist.gov/10.9.E1 10.9.E1] || [[Item:Q3066|<math>\frac{1}{\pi}\int_{0}^{\pi}\cos@{z\sin@@{\theta}}\diff{\theta} = \frac{1}{\pi}\int_{0}^{\pi}\cos@{z\cos@@{\theta}}\diff{\theta}</math>]] || <code>(1)/(Pi)*int(cos(z*sin(theta)), theta = 0..Pi)=(1)/(Pi)*int(cos(z*cos(theta)), theta = 0..Pi)</code> || <code>Divide[1,Pi]*Integrate[Cos[z*Sin[\[Theta]]], {\[Theta], 0, Pi}]=Divide[1,Pi]*Integrate[Cos[z*Cos[\[Theta]]], {\[Theta], 0, Pi}]</code> || Successful || Failure || - || Successful
 
|-
 
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| [https://dlmf.nist.gov/10.9.E2 10.9.E2] || [[Item:Q3067|<math>\BesselJ{n}@{z} = \frac{1}{\pi}\int_{0}^{\pi}\cos@{z\sin@@{\theta}-n\theta}\diff{\theta}</math>]] || <code>BesselJ(n, z)=(1)/(Pi)*int(cos(z*sin(theta)- n*theta), theta = 0..Pi)</code> || <code>BesselJ[n, z]=Divide[1,Pi]*Integrate[Cos[z*Sin[\[Theta]]- n*\[Theta]], {\[Theta], 0, Pi}]</code> || Failure || Failure || Skip || Error
+
| [https://dlmf.nist.gov/10.9.E2 10.9.E2] || [[Item:Q3067|<math>\BesselJ{n}@{z} = \frac{1}{\pi}\int_{0}^{\pi}\cos@{z\sin@@{\theta}-n\theta}\diff{\theta}</math>]] || <code>BesselJ(n, z)=(1)/(Pi)*int(cos(z*sin(theta)- n*theta), theta = 0..Pi)</code> || <code>BesselJ[n, z]=Divide[1,Pi]*Integrate[Cos[z*Sin[\[Theta]]- n*\[Theta]], {\[Theta], 0, Pi}]</code> || Failure || Failure || Skip || Successful
 
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| [https://dlmf.nist.gov/10.9.E2 10.9.E2] || [[Item:Q3067|<math>\frac{1}{\pi}\int_{0}^{\pi}\cos@{z\sin@@{\theta}-n\theta}\diff{\theta} = \frac{i^{-n}}{\pi}\int_{0}^{\pi}e^{iz\cos@@{\theta}}\cos@{n\theta}\diff{\theta}</math>]] || <code>(1)/(Pi)*int(cos(z*sin(theta)- n*theta), theta = 0..Pi)=((I)^(- n))/(Pi)*int(exp(I*z*cos(theta))*cos(n*theta), theta = 0..Pi)</code> || <code>Divide[1,Pi]*Integrate[Cos[z*Sin[\[Theta]]- n*\[Theta]], {\[Theta], 0, Pi}]=Divide[(I)^(- n),Pi]*Integrate[Exp[I*z*Cos[\[Theta]]]*Cos[n*\[Theta]], {\[Theta], 0, Pi}]</code> || Failure || Failure || Skip || Error
+
| [https://dlmf.nist.gov/10.9.E2 10.9.E2] || [[Item:Q3067|<math>\frac{1}{\pi}\int_{0}^{\pi}\cos@{z\sin@@{\theta}-n\theta}\diff{\theta} = \frac{i^{-n}}{\pi}\int_{0}^{\pi}e^{iz\cos@@{\theta}}\cos@{n\theta}\diff{\theta}</math>]] || <code>(1)/(Pi)*int(cos(z*sin(theta)- n*theta), theta = 0..Pi)=((I)^(- n))/(Pi)*int(exp(I*z*cos(theta))*cos(n*theta), theta = 0..Pi)</code> || <code>Divide[1,Pi]*Integrate[Cos[z*Sin[\[Theta]]- n*\[Theta]], {\[Theta], 0, Pi}]=Divide[(I)^(- n),Pi]*Integrate[Exp[I*z*Cos[\[Theta]]]*Cos[n*\[Theta]], {\[Theta], 0, Pi}]</code> || Failure || Failure || Skip || Successful
 
|-
 
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| [https://dlmf.nist.gov/10.9.E3 10.9.E3] || [[Item:Q3068|<math>\BesselY{0}@{z} = \frac{4}{\pi^{2}}\int_{0}^{\frac{1}{2}\pi}\cos@{z\cos@@{\theta}}\left(\EulerConstant+\ln@{2z\sin^{2}@@{\theta}}\right)\diff{\theta}</math>]] || <code>BesselY(0, z)=(4)/((Pi)^(2))*int(cos(z*cos(theta))*(gamma + ln(2*z*(sin(theta))^(2))), theta = 0..(1)/(2)*Pi)</code> || <code>BesselY[0, z]=Divide[4,(Pi)^(2)]*Integrate[Cos[z*Cos[\[Theta]]]*(EulerGamma + Log[2*z*(Sin[\[Theta]])^(2)]), {\[Theta], 0, Divide[1,2]*Pi}]</code> || Failure || Failure || Skip || Error
+
| [https://dlmf.nist.gov/10.9.E3 10.9.E3] || [[Item:Q3068|<math>\BesselY{0}@{z} = \frac{4}{\pi^{2}}\int_{0}^{\frac{1}{2}\pi}\cos@{z\cos@@{\theta}}\left(\EulerConstant+\ln@{2z\sin^{2}@@{\theta}}\right)\diff{\theta}</math>]] || <code>BesselY(0, z)=(4)/((Pi)^(2))*int(cos(z*cos(theta))*(gamma + ln(2*z*(sin(theta))^(2))), theta = 0..(1)/(2)*Pi)</code> || <code>BesselY[0, z]=Divide[4,(Pi)^(2)]*Integrate[Cos[z*Cos[\[Theta]]]*(EulerGamma + Log[2*z*(Sin[\[Theta]])^(2)]), {\[Theta], 0, Divide[1,2]*Pi}]</code> || Failure || Failure || Skip || Successful
 
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| [https://dlmf.nist.gov/10.9.E4 10.9.E4] || [[Item:Q3069|<math>\BesselJ{\nu}@{z} = \frac{(\tfrac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\tfrac{1}{2}}}\int_{0}^{\pi}\cos@{z\cos@@{\theta}}(\sin@@{\theta})^{2\nu}\diff{\theta}</math>]] || <code>BesselJ(nu, z)=(((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int(cos(z*cos(theta))*(sin(theta))^(2*nu), theta = 0..Pi)</code> || <code>BesselJ[\[Nu], z]=Divide[(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[Cos[z*Cos[\[Theta]]]*(Sin[\[Theta]])^(2*\[Nu]), {\[Theta], 0, Pi}]</code> || Failure || Failure || Skip || Skip
+
| [https://dlmf.nist.gov/10.9.E4 10.9.E4] || [[Item:Q3069|<math>\BesselJ{\nu}@{z} = \frac{(\tfrac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\tfrac{1}{2}}}\int_{0}^{\pi}\cos@{z\cos@@{\theta}}(\sin@@{\theta})^{2\nu}\diff{\theta}</math>]] || <code>BesselJ(nu, z)=(((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int(cos(z*cos(theta))*(sin(theta))^(2*nu), theta = 0..Pi)</code> || <code>BesselJ[\[Nu], z]=Divide[(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[Cos[z*Cos[\[Theta]]]*(Sin[\[Theta]])^(2*\[Nu]), {\[Theta], 0, Pi}]</code> || Failure || Failure || Skip || Successful
 
|-
 
|-
| [https://dlmf.nist.gov/10.9.E4 10.9.E4] || [[Item:Q3069|<math>\frac{(\tfrac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\tfrac{1}{2}}}\int_{0}^{\pi}\cos@{z\cos@@{\theta}}(\sin@@{\theta})^{2\nu}\diff{\theta} = \frac{2(\tfrac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\tfrac{1}{2}}}\int_{0}^{1}(1-t^{2})^{\nu-\frac{1}{2}}\cos@{zt}\diff{t}</math>]] || <code>(((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int(cos(z*cos(theta))*(sin(theta))^(2*nu), theta = 0..Pi)=(2*((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int((1 - (t)^(2))^(nu -(1)/(2))* cos(z*t), t = 0..1)</code> || <code>Divide[(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[Cos[z*Cos[\[Theta]]]*(Sin[\[Theta]])^(2*\[Nu]), {\[Theta], 0, Pi}]=Divide[2*(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[(1 - (t)^(2))^(\[Nu]-Divide[1,2])* Cos[z*t], {t, 0, 1}]</code> || Failure || Failure || Skip || Successful
+
| [https://dlmf.nist.gov/10.9.E4 10.9.E4] || [[Item:Q3069|<math>\frac{(\tfrac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\tfrac{1}{2}}}\int_{0}^{\pi}\cos@{z\cos@@{\theta}}(\sin@@{\theta})^{2\nu}\diff{\theta} = \frac{2(\tfrac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\tfrac{1}{2}}}\int_{0}^{1}(1-t^{2})^{\nu-\frac{1}{2}}\cos@{zt}\diff{t}</math>]] || <code>(((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int(cos(z*cos(theta))*(sin(theta))^(2*nu), theta = 0..Pi)=(2*((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int((1 - (t)^(2))^(nu -(1)/(2))* cos(z*t), t = 0..1)</code> || <code>Divide[(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[Cos[z*Cos[\[Theta]]]*(Sin[\[Theta]])^(2*\[Nu]), {\[Theta], 0, Pi}]=Divide[2*(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[(1 - (t)^(2))^(\[Nu]-Divide[1,2])* Cos[z*t], {t, 0, 1}]</code> || Failure || Failure || Skip || Skip
 
|-
 
|-
| [https://dlmf.nist.gov/10.9.E5 10.9.E5] || [[Item:Q3070|<math>\BesselY{\nu}@{z} = \frac{2(\tfrac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\tfrac{1}{2}}}\left(\int_{0}^{1}(1-t^{2})^{\nu-\frac{1}{2}}\sin@{zt}\diff{t}-\int_{0}^{\infty}e^{-zt}(1+t^{2})^{\nu-\frac{1}{2}}\diff{t}\right)</math>]] || <code>BesselY(nu, z)=(2*((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*(int((1 - (t)^(2))^(nu -(1)/(2))* sin(z*t), t = 0..1)- int(exp(- z*t)*(1 + (t)^(2))^(nu -(1)/(2)), t = 0..infinity))</code> || <code>BesselY[\[Nu], z]=Divide[2*(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*(Integrate[(1 - (t)^(2))^(\[Nu]-Divide[1,2])* Sin[z*t], {t, 0, 1}]- Integrate[Exp[- z*t]*(1 + (t)^(2))^(\[Nu]-Divide[1,2]), {t, 0, Infinity}])</code> || Successful || Failure || - || Error
+
| [https://dlmf.nist.gov/10.9.E5 10.9.E5] || [[Item:Q3070|<math>\BesselY{\nu}@{z} = \frac{2(\tfrac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\tfrac{1}{2}}}\left(\int_{0}^{1}(1-t^{2})^{\nu-\frac{1}{2}}\sin@{zt}\diff{t}-\int_{0}^{\infty}e^{-zt}(1+t^{2})^{\nu-\frac{1}{2}}\diff{t}\right)</math>]] || <code>BesselY(nu, z)=(2*((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*(int((1 - (t)^(2))^(nu -(1)/(2))* sin(z*t), t = 0..1)- int(exp(- z*t)*(1 + (t)^(2))^(nu -(1)/(2)), t = 0..infinity))</code> || <code>BesselY[\[Nu], z]=Divide[2*(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*(Integrate[(1 - (t)^(2))^(\[Nu]-Divide[1,2])* Sin[z*t], {t, 0, 1}]- Integrate[Exp[- z*t]*(1 + (t)^(2))^(\[Nu]-Divide[1,2]), {t, 0, Infinity}])</code> || Successful || Failure || - || Skip
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.9.E6 10.9.E6] || [[Item:Q3071|<math>\BesselJ{\nu}@{z} = \frac{1}{\pi}\int_{0}^{\pi}\cos@{z\sin@@{\theta}-\nu\theta}\diff{\theta}-\frac{\sin@{\nu\pi}}{\pi}\int_{0}^{\infty}e^{-z\sinh@@{t}-\nu t}\diff{t}</math>]] || <code>BesselJ(nu, z)=(1)/(Pi)*int(cos(z*sin(theta)- nu*theta), theta = 0..Pi)-(sin(nu*Pi))/(Pi)*int(exp(- z*sinh(t)- nu*t), t = 0..infinity)</code> || <code>BesselJ[\[Nu], z]=Divide[1,Pi]*Integrate[Cos[z*Sin[\[Theta]]- \[Nu]*\[Theta]], {\[Theta], 0, Pi}]-Divide[Sin[\[Nu]*Pi],Pi]*Integrate[Exp[- z*Sinh[t]- \[Nu]*t], {t, 0, Infinity}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.9.E6 10.9.E6] || [[Item:Q3071|<math>\BesselJ{\nu}@{z} = \frac{1}{\pi}\int_{0}^{\pi}\cos@{z\sin@@{\theta}-\nu\theta}\diff{\theta}-\frac{\sin@{\nu\pi}}{\pi}\int_{0}^{\infty}e^{-z\sinh@@{t}-\nu t}\diff{t}</math>]] || <code>BesselJ(nu, z)=(1)/(Pi)*int(cos(z*sin(theta)- nu*theta), theta = 0..Pi)-(sin(nu*Pi))/(Pi)*int(exp(- z*sinh(t)- nu*t), t = 0..infinity)</code> || <code>BesselJ[\[Nu], z]=Divide[1,Pi]*Integrate[Cos[z*Sin[\[Theta]]- \[Nu]*\[Theta]], {\[Theta], 0, Pi}]-Divide[Sin[\[Nu]*Pi],Pi]*Integrate[Exp[- z*Sinh[t]- \[Nu]*t], {t, 0, Infinity}]</code> || Failure || Failure || Skip || Error  
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| [https://dlmf.nist.gov/10.9.E11 10.9.E11] || [[Item:Q3078|<math>\HankelH{2}{\nu}@{z} = -\frac{e^{\frac{1}{2}\nu\pi i}}{\pi i}\int_{-\infty}^{\infty}e^{-iz\cosh@@{t}-\nu t}\diff{t}</math>]] || <code>HankelH2(nu, z)= -(exp((1)/(2)*nu*Pi*I))/(Pi*I)*int(exp(- I*z*cosh(t)- nu*t), t = - infinity..infinity)</code> || <code>HankelH2[\[Nu], z]= -Divide[Exp[Divide[1,2]*\[Nu]*Pi*I],Pi*I]*Integrate[Exp[- I*z*Cosh[t]- \[Nu]*t], {t, - Infinity, Infinity}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.9.E11 10.9.E11] || [[Item:Q3078|<math>\HankelH{2}{\nu}@{z} = -\frac{e^{\frac{1}{2}\nu\pi i}}{\pi i}\int_{-\infty}^{\infty}e^{-iz\cosh@@{t}-\nu t}\diff{t}</math>]] || <code>HankelH2(nu, z)= -(exp((1)/(2)*nu*Pi*I))/(Pi*I)*int(exp(- I*z*cosh(t)- nu*t), t = - infinity..infinity)</code> || <code>HankelH2[\[Nu], z]= -Divide[Exp[Divide[1,2]*\[Nu]*Pi*I],Pi*I]*Integrate[Exp[- I*z*Cosh[t]- \[Nu]*t], {t, - Infinity, Infinity}]</code> || Failure || Failure || Skip || Error  
 
|-
 
|-
| [https://dlmf.nist.gov/10.9#Ex5 10.9#Ex5] || [[Item:Q3079|<math>\BesselJ{\nu}@{x} = \frac{2(\tfrac{1}{2}x)^{-\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\tfrac{1}{2}-\nu}}\int_{1}^{\infty}\frac{\sin@{xt}\diff{t}}{(t^{2}-1)^{\nu+\frac{1}{2}}}</math>]] || <code>BesselJ(nu, x)=(2*((1)/(2)*x)^(- nu))/((Pi)^((1)/(2))* GAMMA((1)/(2)- nu))*int((sin(x*t))/(((t)^(2)- 1)^(nu +(1)/(2))), t = 1..infinity)</code> || <code>BesselJ[\[Nu], x]=Divide[2*(Divide[1,2]*x)^(- \[Nu]),(Pi)^(Divide[1,2])* Gamma[Divide[1,2]- \[Nu]]]*Integrate[Divide[Sin[x*t],((t)^(2)- 1)^(\[Nu]+Divide[1,2])], {t, 1, Infinity}]</code> || Successful || Failure || - || Error
+
| [https://dlmf.nist.gov/10.9#Ex5 10.9#Ex5] || [[Item:Q3079|<math>\BesselJ{\nu}@{x} = \frac{2(\tfrac{1}{2}x)^{-\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\tfrac{1}{2}-\nu}}\int_{1}^{\infty}\frac{\sin@{xt}\diff{t}}{(t^{2}-1)^{\nu+\frac{1}{2}}}</math>]] || <code>BesselJ(nu, x)=(2*((1)/(2)*x)^(- nu))/((Pi)^((1)/(2))* GAMMA((1)/(2)- nu))*int((sin(x*t))/(((t)^(2)- 1)^(nu +(1)/(2))), t = 1..infinity)</code> || <code>BesselJ[\[Nu], x]=Divide[2*(Divide[1,2]*x)^(- \[Nu]),(Pi)^(Divide[1,2])* Gamma[Divide[1,2]- \[Nu]]]*Integrate[Divide[Sin[x*t],((t)^(2)- 1)^(\[Nu]+Divide[1,2])], {t, 1, Infinity}]</code> || Successful || Failure || - || Successful
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.9#Ex6 10.9#Ex6] || [[Item:Q3080|<math>\BesselY{\nu}@{x} = -\frac{2(\tfrac{1}{2}x)^{-\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\tfrac{1}{2}-\nu}}\int_{1}^{\infty}\frac{\cos@{xt}\diff{t}}{(t^{2}-1)^{\nu+\frac{1}{2}}}</math>]] || <code>BesselY(nu, x)= -(2*((1)/(2)*x)^(- nu))/((Pi)^((1)/(2))* GAMMA((1)/(2)- nu))*int((cos(x*t))/(((t)^(2)- 1)^(nu +(1)/(2))), t = 1..infinity)</code> || <code>BesselY[\[Nu], x]= -Divide[2*(Divide[1,2]*x)^(- \[Nu]),(Pi)^(Divide[1,2])* Gamma[Divide[1,2]- \[Nu]]]*Integrate[Divide[Cos[x*t],((t)^(2)- 1)^(\[Nu]+Divide[1,2])], {t, 1, Infinity}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.9#Ex6 10.9#Ex6] || [[Item:Q3080|<math>\BesselY{\nu}@{x} = -\frac{2(\tfrac{1}{2}x)^{-\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\tfrac{1}{2}-\nu}}\int_{1}^{\infty}\frac{\cos@{xt}\diff{t}}{(t^{2}-1)^{\nu+\frac{1}{2}}}</math>]] || <code>BesselY(nu, x)= -(2*((1)/(2)*x)^(- nu))/((Pi)^((1)/(2))* GAMMA((1)/(2)- nu))*int((cos(x*t))/(((t)^(2)- 1)^(nu +(1)/(2))), t = 1..infinity)</code> || <code>BesselY[\[Nu], x]= -Divide[2*(Divide[1,2]*x)^(- \[Nu]),(Pi)^(Divide[1,2])* Gamma[Divide[1,2]- \[Nu]]]*Integrate[Divide[Cos[x*t],((t)^(2)- 1)^(\[Nu]+Divide[1,2])], {t, 1, Infinity}]</code> || Failure || Failure || Skip || Error  
Line 109: Line 109:
 
| [https://dlmf.nist.gov/10.9.E16 10.9.E16] || [[Item:Q3084|<math>\left(\frac{z+\zeta}{z-\zeta}\right)^{\frac{1}{2}\nu}\HankelH{2}{\nu}@{(z^{2}-\zeta^{2})^{\frac{1}{2}}} = -\frac{1}{\pi i}e^{\frac{1}{2}\nu\pi i}\int_{-\infty}^{\infty}e^{-iz\cosh@@{t}-i\zeta\sinh@@{t}-\nu t}\diff{t}</math>]] || <code>((z + zeta)/(z - zeta))^((1)/(2)*nu)* HankelH2(nu, ((z)^(2)- (zeta)^(2))^((1)/(2)))= -(1)/(Pi*I)*exp((1)/(2)*nu*Pi*I)*int(exp(- I*z*cosh(t)- I*zeta*sinh(t)- nu*t), t = - infinity..infinity)</code> || <code>(Divide[z + \[zeta],z - \[zeta]])^(Divide[1,2]*\[Nu])* HankelH2[\[Nu], ((z)^(2)- (\[zeta])^(2))^(Divide[1,2])]= -Divide[1,Pi*I]*Exp[Divide[1,2]*\[Nu]*Pi*I]*Integrate[Exp[- I*z*Cosh[t]- I*\[zeta]*Sinh[t]- \[Nu]*t], {t, - Infinity, Infinity}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.9.E16 10.9.E16] || [[Item:Q3084|<math>\left(\frac{z+\zeta}{z-\zeta}\right)^{\frac{1}{2}\nu}\HankelH{2}{\nu}@{(z^{2}-\zeta^{2})^{\frac{1}{2}}} = -\frac{1}{\pi i}e^{\frac{1}{2}\nu\pi i}\int_{-\infty}^{\infty}e^{-iz\cosh@@{t}-i\zeta\sinh@@{t}-\nu t}\diff{t}</math>]] || <code>((z + zeta)/(z - zeta))^((1)/(2)*nu)* HankelH2(nu, ((z)^(2)- (zeta)^(2))^((1)/(2)))= -(1)/(Pi*I)*exp((1)/(2)*nu*Pi*I)*int(exp(- I*z*cosh(t)- I*zeta*sinh(t)- nu*t), t = - infinity..infinity)</code> || <code>(Divide[z + \[zeta],z - \[zeta]])^(Divide[1,2]*\[Nu])* HankelH2[\[Nu], ((z)^(2)- (\[zeta])^(2))^(Divide[1,2])]= -Divide[1,Pi*I]*Exp[Divide[1,2]*\[Nu]*Pi*I]*Integrate[Exp[- I*z*Cosh[t]- I*\[zeta]*Sinh[t]- \[Nu]*t], {t, - Infinity, Infinity}]</code> || Failure || Failure || Skip || Error  
 
|-
 
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| [https://dlmf.nist.gov/10.9.E17 10.9.E17] || [[Item:Q3085|<math>\BesselJ{\nu}@{z} = \frac{1}{2\pi i}\int_{\infty-\pi i}^{\infty+\pi i}e^{z\sinh@@{t}-\nu t}\diff{t}</math>]] || <code>BesselJ(nu, z)=(1)/(2*Pi*I)*int(exp(z*sinh(t)- nu*t), t = infinity - Pi*I..infinity + Pi*I)</code> || <code>BesselJ[\[Nu], z]=Divide[1,2*Pi*I]*Integrate[Exp[z*Sinh[t]- \[Nu]*t], {t, Infinity - Pi*I, Infinity + Pi*I}]</code> || Failure || Failure || Skip || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[0.342503927390088, -0.08973210023585859] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.3263028372306598, 4.480608248698951] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-26.41355287980499, 14.935276359740396] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.2663767645899945, 0.9702347233898156] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.3263028372306598, -4.480608248698951] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.342503927390088, 0.08973210023585859] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.2663767645899945, -0.9702347233898156] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-26.41355287980499, -14.935276359740396] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.39963521704093186, 30.09969734416124] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.046644891088354845, -0.029068706250418734] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.25204630776727216, 0.2526884311965666] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[85.54137130367369, -0.13339080538141346] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.046644891088354845, 0.029068706250418734] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.39963521704093186, -30.09969734416124] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[85.54137130367369, 0.13339080538141346] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.25204630776727216, -0.2526884311965666] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.9.E17 10.9.E17] || [[Item:Q3085|<math>\BesselJ{\nu}@{z} = \frac{1}{2\pi i}\int_{\infty-\pi i}^{\infty+\pi i}e^{z\sinh@@{t}-\nu t}\diff{t}</math>]] || <code>BesselJ(nu, z)=(1)/(2*Pi*I)*int(exp(z*sinh(t)- nu*t), t = infinity - Pi*I..infinity + Pi*I)</code> || <code>BesselJ[\[Nu], z]=Divide[1,2*Pi*I]*Integrate[Exp[z*Sinh[t]- \[Nu]*t], {t, Infinity - Pi*I, Infinity + Pi*I}]</code> || Failure || Failure || Skip || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[0.342503927390088, -0.08973210023585859] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.3263028372306598, 4.480608248698951] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-26.41355287980499, 14.935276359740396] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.2663767645899945, 0.9702347233898156] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
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| [https://dlmf.nist.gov/10.9#Ex7 10.9#Ex7] || [[Item:Q3086|<math>\HankelH{1}{\nu}@{z} = \frac{1}{\pi i}\int_{-\infty}^{\infty+\pi i}e^{z\sinh@@{t}-\nu t}\diff{t}</math>]] || <code>HankelH1(nu, z)=(1)/(Pi*I)*int(exp(z*sinh(t)- nu*t), t = - infinity..infinity + Pi*I)</code> || <code>HankelH1[\[Nu], z]=Divide[1,Pi*I]*Integrate[Exp[z*Sinh[t]- \[Nu]*t], {t, - Infinity, Infinity + Pi*I}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.9#Ex7 10.9#Ex7] || [[Item:Q3086|<math>\HankelH{1}{\nu}@{z} = \frac{1}{\pi i}\int_{-\infty}^{\infty+\pi i}e^{z\sinh@@{t}-\nu t}\diff{t}</math>]] || <code>HankelH1(nu, z)=(1)/(Pi*I)*int(exp(z*sinh(t)- nu*t), t = - infinity..infinity + Pi*I)</code> || <code>HankelH1[\[Nu], z]=Divide[1,Pi*I]*Integrate[Exp[z*Sinh[t]- \[Nu]*t], {t, - Infinity, Infinity + Pi*I}]</code> || Failure || Failure || Skip || Error  
Line 125: Line 125:
 
| [https://dlmf.nist.gov/10.9.E22 10.9.E22] || [[Item:Q3092|<math>\BesselJ{\nu}@{x} = \frac{1}{2\pi i}\int_{-i\infty}^{i\infty}\frac{\EulerGamma@{-t}(\tfrac{1}{2}x)^{\nu+2t}}{\EulerGamma@{\nu+t+1}}\diff{t}</math>]] || <code>BesselJ(nu, x)=(1)/(2*Pi*I)*int((GAMMA(- t)*((1)/(2)*x)^(nu + 2*t))/(GAMMA(nu + t + 1)), t = - I*infinity..I*infinity)</code> || <code>BesselJ[\[Nu], x]=Divide[1,2*Pi*I]*Integrate[Divide[Gamma[- t]*(Divide[1,2]*x)^(\[Nu]+ 2*t),Gamma[\[Nu]+ t + 1]], {t, - I*Infinity, I*Infinity}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.9.E22 10.9.E22] || [[Item:Q3092|<math>\BesselJ{\nu}@{x} = \frac{1}{2\pi i}\int_{-i\infty}^{i\infty}\frac{\EulerGamma@{-t}(\tfrac{1}{2}x)^{\nu+2t}}{\EulerGamma@{\nu+t+1}}\diff{t}</math>]] || <code>BesselJ(nu, x)=(1)/(2*Pi*I)*int((GAMMA(- t)*((1)/(2)*x)^(nu + 2*t))/(GAMMA(nu + t + 1)), t = - I*infinity..I*infinity)</code> || <code>BesselJ[\[Nu], x]=Divide[1,2*Pi*I]*Integrate[Divide[Gamma[- t]*(Divide[1,2]*x)^(\[Nu]+ 2*t),Gamma[\[Nu]+ t + 1]], {t, - I*Infinity, I*Infinity}]</code> || Failure || Failure || Skip || Error  
 
|-
 
|-
| [https://dlmf.nist.gov/10.9.E23 10.9.E23] || [[Item:Q3093|<math>\BesselJ{\nu}@{z} = \frac{1}{2\pi i}\int_{-\infty-ic}^{-\infty+ic}\frac{\EulerGamma@{t}}{\EulerGamma@{\nu-t+1}}(\tfrac{1}{2}z)^{\nu-2t}\diff{t}</math>]] || <code>BesselJ(nu, z)=(1)/(2*Pi*I)*int((GAMMA(t))/(GAMMA(nu - t + 1))*((1)/(2)*z)^(nu - 2*t), t = - infinity - I*c..- infinity + I*c)</code> || <code>BesselJ[\[Nu], z]=Divide[1,2*Pi*I]*Integrate[Divide[Gamma[t],Gamma[\[Nu]- t + 1]]*(Divide[1,2]*z)^(\[Nu]- 2*t), {t, - Infinity - I*c, - Infinity + I*c}]</code> || Failure || Failure || Skip || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[0.342503927390088, -0.08973210023585859] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.3263028372306598, 4.480608248698951] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-26.41355287980499, 14.935276359740396] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.2663767645899945, 0.9702347233898156] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.3263028372306598, -4.480608248698951] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.342503927390088, 0.08973210023585859] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.2663767645899945, -0.9702347233898156] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-26.41355287980499, -14.935276359740396] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.39963521704093186, 30.09969734416124] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.046644891088354845, -0.029068706250418734] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.25204630776727216, 0.2526884311965666] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[85.54137130367369, -0.13339080538141346] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.046644891088354845, 0.029068706250418734] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.39963521704093186, -30.09969734416124] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[85.54137130367369, 0.13339080538141346] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.25204630776727216, -0.2526884311965666] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.9.E23 10.9.E23] || [[Item:Q3093|<math>\BesselJ{\nu}@{z} = \frac{1}{2\pi i}\int_{-\infty-ic}^{-\infty+ic}\frac{\EulerGamma@{t}}{\EulerGamma@{\nu-t+1}}(\tfrac{1}{2}z)^{\nu-2t}\diff{t}</math>]] || <code>BesselJ(nu, z)=(1)/(2*Pi*I)*int((GAMMA(t))/(GAMMA(nu - t + 1))*((1)/(2)*z)^(nu - 2*t), t = - infinity - I*c..- infinity + I*c)</code> || <code>BesselJ[\[Nu], z]=Divide[1,2*Pi*I]*Integrate[Divide[Gamma[t],Gamma[\[Nu]- t + 1]]*(Divide[1,2]*z)^(\[Nu]- 2*t), {t, - Infinity - I*c, - Infinity + I*c}]</code> || Failure || Failure || Skip || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[0.342503927390088, -0.08973210023585859] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.3263028372306598, 4.480608248698951] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-26.41355287980499, 14.935276359740396] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.2663767645899945, 0.9702347233898156] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.9.E24 10.9.E24] || [[Item:Q3094|<math>\HankelH{1}{\nu}@{z} = -\frac{e^{-\frac{1}{2}\nu\pi i}}{2\pi^{2}}\*\int_{c-i\infty}^{c+i\infty}\EulerGamma@{t}\EulerGamma@{t-\nu}(-\tfrac{1}{2}iz)^{\nu-2t}\diff{t}</math>]] || <code>HankelH1(nu, z)= -(exp(-(1)/(2)*nu*Pi*I))/(2*(Pi)^(2))* int(GAMMA(t)*GAMMA(t - nu)*(-(1)/(2)*I*z)^(nu - 2*t), t = c - I*infinity..c + I*infinity)</code> || <code>HankelH1[\[Nu], z]= -Divide[Exp[-Divide[1,2]*\[Nu]*Pi*I],2*(Pi)^(2)]* Integrate[Gamma[t]*Gamma[t - \[Nu]]*(-Divide[1,2]*I*z)^(\[Nu]- 2*t), {t, c - I*Infinity, c + I*Infinity}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.9.E24 10.9.E24] || [[Item:Q3094|<math>\HankelH{1}{\nu}@{z} = -\frac{e^{-\frac{1}{2}\nu\pi i}}{2\pi^{2}}\*\int_{c-i\infty}^{c+i\infty}\EulerGamma@{t}\EulerGamma@{t-\nu}(-\tfrac{1}{2}iz)^{\nu-2t}\diff{t}</math>]] || <code>HankelH1(nu, z)= -(exp(-(1)/(2)*nu*Pi*I))/(2*(Pi)^(2))* int(GAMMA(t)*GAMMA(t - nu)*(-(1)/(2)*I*z)^(nu - 2*t), t = c - I*infinity..c + I*infinity)</code> || <code>HankelH1[\[Nu], z]= -Divide[Exp[-Divide[1,2]*\[Nu]*Pi*I],2*(Pi)^(2)]* Integrate[Gamma[t]*Gamma[t - \[Nu]]*(-Divide[1,2]*I*z)^(\[Nu]- 2*t), {t, c - I*Infinity, c + I*Infinity}]</code> || Failure || Failure || Skip || Error  
Line 141: Line 141:
 
| [https://dlmf.nist.gov/10.9.E30 10.9.E30] || [[Item:Q3100|<math>\BesselJ{\nu}^{2}@{z}+\BesselY{\nu}^{2}@{z} = \frac{8}{\pi^{2}}\int_{0}^{\infty}\cosh@{2\nu t}\modBesselK{0}@{2z\sinh@@{t}}\diff{t}</math>]] || <code>(BesselJ(nu, z))^(2)+ (BesselY(nu, z))^(2)=(8)/((Pi)^(2))*int(cosh(2*nu*t)*BesselK(0, 2*z*sinh(t)), t = 0..infinity)</code> || <code>(BesselJ[\[Nu], z])^(2)+ (BesselY[\[Nu], z])^(2)=Divide[8,(Pi)^(2)]*Integrate[Cosh[2*\[Nu]*t]*BesselK[0, 2*z*Sinh[t]], {t, 0, Infinity}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.9.E30 10.9.E30] || [[Item:Q3100|<math>\BesselJ{\nu}^{2}@{z}+\BesselY{\nu}^{2}@{z} = \frac{8}{\pi^{2}}\int_{0}^{\infty}\cosh@{2\nu t}\modBesselK{0}@{2z\sinh@@{t}}\diff{t}</math>]] || <code>(BesselJ(nu, z))^(2)+ (BesselY(nu, z))^(2)=(8)/((Pi)^(2))*int(cosh(2*nu*t)*BesselK(0, 2*z*sinh(t)), t = 0..infinity)</code> || <code>(BesselJ[\[Nu], z])^(2)+ (BesselY[\[Nu], z])^(2)=Divide[8,(Pi)^(2)]*Integrate[Cosh[2*\[Nu]*t]*BesselK[0, 2*z*Sinh[t]], {t, 0, Infinity}]</code> || Failure || Failure || Skip || Error  
 
|-
 
|-
| [https://dlmf.nist.gov/10.11.E1 10.11.E1] || [[Item:Q3103|<math>\BesselJ{\nu}@{ze^{m\pi i}} = e^{m\nu\pi i}\BesselJ{\nu}@{z}</math>]] || <code>BesselJ(nu, z*exp(m*Pi*I))= exp(m*nu*Pi*I)*BesselJ(nu, z)</code> || <code>BesselJ[\[Nu], z*Exp[m*Pi*I]]= Exp[m*\[Nu]*Pi*I]*BesselJ[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-.3975453294+30.10329939*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>.3425382206-.8976707513e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-.3996358010+30.09969700*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-1.326778468-4.481046040*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-.4664836496e-1+.2907546968e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-.3975453294+30.10329939*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>.3425382205-.8976707482e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-1.326778468-4.481046040*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-.4664836499e-1+.2907546978e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-1.326302732-4.480608219*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-397.2590734-7.293217797*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>8395.048729+32720.75512*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>2491053.219-1428685.446*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>2457.987232-714.0259405*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-114156.2548-185270.4042*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-397.2590734-7.293217730*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>8395.048782+32720.75504*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>2457.987232-714.0259404*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-114156.2546-185270.4048*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-12596432.01+13548427.43*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>626.2861640+2502.950897*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-219295.7842-5334.580383*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>5401986.188-17848181.28*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>1947.060682-7008.125879*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>530245.3043+318205.5670*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>626.2861643+2502.950897*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-219295.7837-5334.580767*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>1947.060681-7008.125878*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>530245.3059+318205.5665*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-38078357.15+36243762.53*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>85.55153677-.1273326048*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-.2664772854+.9703310018*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>85.54137012-.1333926697*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-26.41562834-14.93892518*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>.2520941760-.2527005344*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>85.55153677-.1273326048*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-.2664772835+.9703310007*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-26.41562834-14.93892518*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>.2520941763-.2527005346*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-26.41355283-14.93527569*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-0.3975452718986143, 30.10329943602099] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.34253822069590145, -0.08976707542141499] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.3996357209647074, 30.09969706489566] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-397.25907376207414, -7.293217978872368] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[8395.048692488688, 32720.755200821062] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[2491053.239042175, -1428685.4415188504] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[626.2861683482265, 2502.9508997992943] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-219295.78466834573, -5334.5798194259705] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5401986.11542511, -1.7848181408790678*^7] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[85.55153703607836, -0.12733231017198032] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.2664772881147343, 0.9703310030633361] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[85.54137052692077, -0.13339224657521204] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.3267784782089824, -4.481046046437951] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.046648365017511496, 0.029075469830656998] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[2457.987236419797, -714.0259380642436] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-114156.25446783852, -185270.405499865] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1947.06066983207, -7008.125894316805] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[530245.3085003275, 318205.5656643824] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-26.41562837939957, -14.938925252133105] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.2520941765518309, -0.2527005347711719] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.3975452718986143, 30.10329943602099] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.34253822069590145, -0.08976707542141499] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-397.25907376207414, -7.293217978872397] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[8395.048692488645, 32720.755200821135] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[626.286168348227, 2502.9508997992943] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-219295.78466834614, -5334.579819425607] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[85.55153703607836, -0.12733231017198035] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.2664772881147343, 0.9703310030633361] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.3267784782089824, -4.481046046437951] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.046648365017511496, 0.029075469830656998] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.3263027496699564, -4.480608230495054] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[2457.9872364197963, -714.0259380642437] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-114156.25446783866, -185270.40549986446] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.259643215277651*^7, 1.354842742888983*^7] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1947.060669832071, -7008.125894316806] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[530245.3085003261, 318205.5656643829] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.80783571445726*^7, 3.624376299482791*^7] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-26.41562837939957, -14.938925252133105] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.2520941765518309, -0.2527005347711719] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-26.41355289249209, -14.935275779128057] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.11.E1 10.11.E1] || [[Item:Q3103|<math>\BesselJ{\nu}@{ze^{m\pi i}} = e^{m\nu\pi i}\BesselJ{\nu}@{z}</math>]] || <code>BesselJ(nu, z*exp(m*Pi*I))= exp(m*nu*Pi*I)*BesselJ(nu, z)</code> || <code>BesselJ[\[Nu], z*Exp[m*Pi*I]]= Exp[m*\[Nu]*Pi*I]*BesselJ[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-.3975453294+30.10329939*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>.3425382206-.8976707513e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-.3996358010+30.09969700*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-1.326778468-4.481046040*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-0.3975452718986143, 30.10329943602099] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.34253822069590145, -0.08976707542141499] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.3996357209647074, 30.09969706489566] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-397.25907376207414, -7.293217978872368] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.11.E2 10.11.E2] || [[Item:Q3104|<math>\BesselY{\nu}@{ze^{m\pi i}} = e^{-m\nu\pi i}\BesselY{\nu}@{z}+2i\sin@{m\nu\pi}\cot@{\nu\pi}\BesselJ{\nu}@{z}</math>]] || <code>BesselY(nu, z*exp(m*Pi*I))= exp(- m*nu*Pi*I)*BesselY(nu, z)+ 2*I*sin(m*nu*Pi)*cot(nu*Pi)*BesselJ(nu, z)</code> || <code>BesselY[\[Nu], z*Exp[m*Pi*I]]= Exp[- m*\[Nu]*Pi*I]*BesselY[\[Nu], z]+ 2*I*Sin[m*\[Nu]*Pi]*Cot[\[Nu]*Pi]*BesselJ[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>59.96664792+53.22883098*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-5005.486114+1251.725768*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>10758.9952-438485.5093*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-4.21339-169.756927*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>14014.341+3894.700*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>59.9666+53.2289*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-5005.49+1251.73*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-4.213388677-169.7569153*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>14014.34035+3894.700758*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-636415.0800+1060149.769*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>9.175549781-396.6330301*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-32711.80603+8397.721662*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>1428701.856+2490259.420*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>713.7000274+2456.798133*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>185210.2121-114155.4597*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>9.175549825-396.6330301*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-32711.80595+8397.721724*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>713.7000281+2456.798133*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>185210.2127-114155.4595*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-13546999.53-12591517.90*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-2502.624986+625.0970635*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>5364.443686-219242.9529*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>17843176.21+5403237.069*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>7006.243548+1947.686725*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-318205.2994+530074.2205*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-2502.624985+625.0970642*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>5364.444135-219242.9524*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>7006.243547+1947.686726*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-318205.2988+530074.2223*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-36229750.09-38074461.87*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>8.821766886-82.87859964*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>15.498435-794.158581*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-65423.7329+16709.8816*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-75.130979+27.2106*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>1427.98+4915.040*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>8.8217-82.8786*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>15.49-794.16*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-75.13102208+27.21074779*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>1427.978669+4915.037459*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>370405.4816-228284.5017*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[59.966647971782265, 53.22883092179323] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5005.486119861246, 1251.7257744468322] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[10758.99323773, -438485.5113105696] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[9.175550013151128, -396.6330304507175] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-32711.806101314076, 8397.721629627957] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1428701.8519568709, 2490259.440026697] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2502.624987137374, 625.0970678779117] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5364.443167961747, -219242.9533826958] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.7843176338350553*^7, 5403236.994637306] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[8.821767196807047, -82.87859989680771] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[15.498436988959838, -794.1585815009048] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-65423.733475001995, 16709.881555710745] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-4.213388840202242, -169.75691541109154] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[14014.340381128946, 3894.7007346102037] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[713.7000254023221, 2456.798135949481] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[185210.21340296144, -114155.45934840364] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7006.243562282525, 1947.6867131434267] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-318205.29800717614, 530074.2248064382] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-75.13102215571689, 27.210747814329807] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1427.9786639995873, 4915.037466550246] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[59.966647971828934, 53.22883092184202] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5005.4861198645085, 1251.725774448365] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[9.175550013151154, -396.6330304507174] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-32711.806101314156, 8397.721629627915] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2502.624987137374, 625.0970678779116] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5364.443167961377, -219242.95338269626] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[8.821767196757719, -82.87859989702702] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[15.498436994850636, -794.1585815027356] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-4.213388840192298, -169.75691541109148] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[14014.3403811291, 3894.7007346107944] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-636415.0774982314, 1060149.7768670432] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[713.7000254023224, 2456.798135949482] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[185210.2134029609, -114155.45934840375] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.3546999523437954*^7, -1.2591518052316258*^7] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7006.243562282526, 1947.6867131434276] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-318205.29800717655, 530074.2248064366] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.622975056585429*^7, -3.807446186444304*^7] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-75.13102215571263, 27.210747814244478] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1427.978663998381, 4915.037466550393] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[370405.4842316385, -228284.50099280203] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.11.E2 10.11.E2] || [[Item:Q3104|<math>\BesselY{\nu}@{ze^{m\pi i}} = e^{-m\nu\pi i}\BesselY{\nu}@{z}+2i\sin@{m\nu\pi}\cot@{\nu\pi}\BesselJ{\nu}@{z}</math>]] || <code>BesselY(nu, z*exp(m*Pi*I))= exp(- m*nu*Pi*I)*BesselY(nu, z)+ 2*I*sin(m*nu*Pi)*cot(nu*Pi)*BesselJ(nu, z)</code> || <code>BesselY[\[Nu], z*Exp[m*Pi*I]]= Exp[- m*\[Nu]*Pi*I]*BesselY[\[Nu], z]+ 2*I*Sin[m*\[Nu]*Pi]*Cot[\[Nu]*Pi]*BesselJ[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>59.96664792+53.22883098*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-5005.486114+1251.725768*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>10758.9952-438485.5093*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-4.21339-169.756927*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[59.966647971782265, 53.22883092179323] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5005.486119861246, 1251.7257744468322] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[10758.99323773, -438485.5113105696] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[9.175550013151128, -396.6330304507175] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.11.E3 10.11.E3] || [[Item:Q3105|<math>\sin@{\nu\pi}\HankelH{1}{\nu}@{ze^{m\pi i}} = -\sin@{(m-1)\nu\pi}\HankelH{1}{\nu}@{z}-e^{-\nu\pi i}\sin@{m\nu\pi}\HankelH{2}{\nu}@{z}</math>]] || <code>sin(nu*Pi)*HankelH1(nu, z*exp(m*Pi*I))= - sin((m - 1)* nu*Pi)*HankelH1(nu, z)- exp(- nu*Pi*I)*sin(m*nu*Pi)*HankelH2(nu, z)</code> || <code>Sin[\[Nu]*Pi]*HankelH1[\[Nu], z*Exp[m*Pi*I]]= - Sin[(m - 1)* \[Nu]*Pi]*HankelH1[\[Nu], z]- Exp[- \[Nu]*Pi*I]*Sin[m*\[Nu]*Pi]*HankelH2[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>3216.976842-3084.273397*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-5364.683403+219295.3867*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-17847467.19-5404443.822*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-7000.832672-1549.801603*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>318210.0478-530246.6318*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>3216.976844-3084.273396*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-5364.6836+219295.3862*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-7000.832671-1549.801604*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>318210.0473-530246.6336*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>36243769.87+38078754.37*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>4.353713525-84.22475837*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>8.263548393-396.9925959*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-32716.40735+8310.834218*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-45.04222468+26.81317367*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>713.773249+2457.735139*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>4.353713590-84.22475845*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>8.263520-396.992611*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-45.04222464+26.81317366*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>713.7732412+2457.735135*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>185225.3654-114129.4439*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>45.04222463+26.81317368*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-2503.040663+625.9436233*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>5379.619646-219268.9682*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-4.353713581-84.22475844*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>7008.154926+1947.107344*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>45.04222465+26.81317365*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-2503.040654+625.943625*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-4.353713550-84.22475845*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>7008.154945+1947.107334*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-318209.9205+530161.0782*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>7000.832648-1549.801616*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>32720.88250-8309.497167*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-1421678.290-2493000.550*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-3216.976832-3084.273395*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-185255.4658+114129.8393*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>7000.832640-1549.801623*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>32720.8829-8309.4980*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-3216.976835-3084.273399*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-185255.4661+114129.8390*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>13545924.72+12595805.99*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[3216.976837863537, -3084.273404768022] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5364.6831188620945, 219295.38712307377] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.7847467293085534*^7, -5404443.760123314] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[4.353713736263555, -84.22475855786759] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[8.263548981935838, -396.99259647395934] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-32716.40754702128, 8310.834100439926] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[45.04222468817532, 26.81317365127428] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2503.040666874715, 625.9436301275301] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5379.618441742664, -219268.96940424567] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7000.832676337933, -1549.8015960699965] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[32720.882533131236, -8309.497155452604] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1421678.2859555364, -2493000.5661892947] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-7000.83267633793, -1549.8015960699995] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[318210.04671042913, -530246.6352788055] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-45.042224688154064, 26.81317365129818] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[713.7732375294656, 2457.7351422432434] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-4.353713736265947, -84.22475855786934] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7008.154969786649, 1947.1073181970805] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3216.976837863536, -3084.273404768022] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-185255.46657461245, 114129.83883945868] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3216.976837863537, -3084.2734047680224] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5364.683118862216, 219295.3871230743] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[4.353713736261142, -84.22475855786583] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[8.263548982152315, -396.9925964737929] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[45.042224688196555, 26.813173651250384] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2503.040666873244, 625.9436301298113] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7000.8326763379355, -1549.8015960699968] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[32720.882533130934, -8309.497155451216] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-7000.832676337733, -1549.8015960701546] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[318210.04671043763, -530246.6352787843] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.624377025896859*^7, 3.8078754356998235*^7] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-45.04222468815408, 26.813173651298182] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[713.7732375294725, 2457.7351422432444] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[185225.36692464986, -114129.44336967412] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-4.353713736265971, -84.22475855786938] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7008.154969786637, 1947.1073181970871] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-318209.9189403028, 530161.0832660411] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3216.9768378620593, -3084.2734047703034] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-185255.46657483268, 114129.8388393898] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.354592473068986*^7, 1.259580611872197*^7] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.11.E3 10.11.E3] || [[Item:Q3105|<math>\sin@{\nu\pi}\HankelH{1}{\nu}@{ze^{m\pi i}} = -\sin@{(m-1)\nu\pi}\HankelH{1}{\nu}@{z}-e^{-\nu\pi i}\sin@{m\nu\pi}\HankelH{2}{\nu}@{z}</math>]] || <code>sin(nu*Pi)*HankelH1(nu, z*exp(m*Pi*I))= - sin((m - 1)* nu*Pi)*HankelH1(nu, z)- exp(- nu*Pi*I)*sin(m*nu*Pi)*HankelH2(nu, z)</code> || <code>Sin[\[Nu]*Pi]*HankelH1[\[Nu], z*Exp[m*Pi*I]]= - Sin[(m - 1)* \[Nu]*Pi]*HankelH1[\[Nu], z]- Exp[- \[Nu]*Pi*I]*Sin[m*\[Nu]*Pi]*HankelH2[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>3216.976842-3084.273397*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-5364.683403+219295.3867*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-17847467.19-5404443.822*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-7000.832672-1549.801603*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[3216.976837863537, -3084.273404768022] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5364.6831188620945, 219295.38712307377] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.7847467293085534*^7, -5404443.760123314] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[4.353713736263555, -84.22475855786759] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.11.E4 10.11.E4] || [[Item:Q3106|<math>\sin@{\nu\pi}\HankelH{2}{\nu}@{ze^{m\pi i}} = e^{\nu\pi i}\sin@{m\nu\pi}\HankelH{1}{\nu}@{z}+\sin@{(m+1)\nu\pi}\HankelH{2}{\nu}@{z}</math>]] || <code>sin(nu*Pi)*HankelH2(nu, z*exp(m*Pi*I))= exp(nu*Pi*I)*sin(m*nu*Pi)*HankelH1(nu, z)+ sin((m + 1)* nu*Pi)*HankelH2(nu, z)</code> || <code>Sin[\[Nu]*Pi]*HankelH2[\[Nu], z*Exp[m*Pi*I]]= Exp[\[Nu]*Pi*I]*Sin[m*\[Nu]*Pi]*HankelH1[\[Nu], z]+ Sin[(m + 1)* \[Nu]*Pi]*HankelH2[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-2503.040664+625.9436263*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>5334.577216-219295.7816*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>17848181.49+5401985.686*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>7008.154936+1947.107340*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-318205.5645+530245.3151*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-2503.040659+625.943622*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>5334.5785-219295.7856*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>7008.154955+1947.107329*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-318205.5666+530245.3038*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-36243763.47-38078357.14*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>32720.88246-8309.497191*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-1428679.124-2491450.745*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-171802479.7+173471699.6*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-185255.4660+114129.8398*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>13549141.44+12598890.43*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>32720.8830-8309.4999*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-1428678.23-2491450.81*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-185255.4658+114129.8390*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>13549141.71+12598890.25*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>725591407.3-1395447917.*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-5364.683613+219295.3865*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-17850684.14-5401359.559*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>846724863.3-1340386487.*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>318210.0478-530246.6309*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>36250771.60+38080304.23*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-5364.6832+219295.3859*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-17850684.42-5401359.71*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>318210.0474-530246.6326*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>36250770.62+38080304.16*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-3940996192.+2108223972.*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>8.263548799-396.9925962*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-32720.76110+8395.058952*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>1428686.404+2491053.537*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>713.773245+2457.735136*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>185270.4087-114156.2529*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>8.263539-396.992602*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-32720.7588+8395.0468*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>713.7732396+2457.735138*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>185270.4078-114156.2569*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-13548427.69-12596432.60*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-2503.040666874715, 625.9436301275297] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5334.576217054554, -219295.782577897] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.7848181319058534*^7, 5401985.77292121] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[32720.882533131233, -8309.4971554526] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1428679.1186318742, -2491450.764593226] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.718024773730715*^8, 1.7347169965305805*^8] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5364.683118862036, 219295.38712307374] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.7850684269923393*^7, -5401359.486718539] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[8.46724866129725*^8, -1.340386473898578*^9] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[8.263548981935795, -396.9925964739594] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-32720.761260757536, 8395.058858997796] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1428686.4117535714, 2491053.505418914] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7008.154969786651, 1947.1073181970828] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-318205.56522656704, 530245.3080245974] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-185255.46657461236, 114129.83883945865] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.354914170752846*^7, 1.2598890392107077*^7] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[318210.04671042896, -530246.6352788054] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.6250771091646604*^7, 3.808030415859405*^7] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[713.7732375294656, 2457.7351422432444] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[185270.40914933785, -114156.25654332581] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2503.0406668747214, 625.94363012753] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5334.57621705436, -219295.78257789643] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[32720.882533122436, -8309.497155431076] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1428679.1186301857, -2491450.764592983] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5364.683118641784, 219295.38712300482] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.785068426992265*^7, -5401359.486698886] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[8.263548981948588, -396.99259647395206] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-32720.761260757805, 8395.058858999517] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7008.154969786435, 1947.1073181972454] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-318205.56522657484, 530245.308024579] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.624376296575726*^7, -3.8078357097927935*^7] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-185255.4665746123, 114129.83883945926] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.354914170752843*^7, 1.2598890392107109*^7] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7.255913942913995*^8, -1.3954479122841978*^9] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[318210.0467104292, -530246.6352788042] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.625077109164677*^7, 3.8080304158594064*^7] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.940996181303513*^9, 2.1082239392461627*^9] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[713.773237527995, 2457.7351422455254] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[185270.40914955837, -114156.25654325595] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.354842768157756*^7, -1.2596432404842397*^7] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.11.E4 10.11.E4] || [[Item:Q3106|<math>\sin@{\nu\pi}\HankelH{2}{\nu}@{ze^{m\pi i}} = e^{\nu\pi i}\sin@{m\nu\pi}\HankelH{1}{\nu}@{z}+\sin@{(m+1)\nu\pi}\HankelH{2}{\nu}@{z}</math>]] || <code>sin(nu*Pi)*HankelH2(nu, z*exp(m*Pi*I))= exp(nu*Pi*I)*sin(m*nu*Pi)*HankelH1(nu, z)+ sin((m + 1)* nu*Pi)*HankelH2(nu, z)</code> || <code>Sin[\[Nu]*Pi]*HankelH2[\[Nu], z*Exp[m*Pi*I]]= Exp[\[Nu]*Pi*I]*Sin[m*\[Nu]*Pi]*HankelH1[\[Nu], z]+ Sin[(m + 1)* \[Nu]*Pi]*HankelH2[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-2503.040664+625.9436263*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>5334.577216-219295.7816*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>17848181.49+5401985.686*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>7008.154936+1947.107340*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-2503.040666874715, 625.9436301275297] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5334.576217054554, -219295.782577897] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.7848181319058534*^7, 5401985.77292121] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[32720.882533131233, -8309.4971554526] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.11#Ex1 10.11#Ex1] || [[Item:Q3107|<math>\HankelH{1}{\nu}@{ze^{\pi i}} = -e^{-\nu\pi i}\HankelH{2}{\nu}@{z}</math>]] || <code>HankelH1(nu, z*exp(Pi*I))= - exp(- nu*Pi*I)*HankelH2(nu, z)</code> || <code>HankelH1[\[Nu], z*Exp[Pi*I]]= - Exp[- \[Nu]*Pi*I]*HankelH2[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-53.62637626+90.06994733*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>168.4301368-8.694434719*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-.6260433097+1.882332034*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>1.189100470-.3259126629*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>1.189100470+.3259126621*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-.6260433071-1.882332032*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>168.4301366+8.694434556*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-53.62637618-90.06994731*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-53.62637619369183, 90.06994740780324] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.6260433113566327, 1.8823320342787686] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.1891004703150516, 0.325912661920741] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[168.43013693288603, 8.694434886635074] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[168.43013693288248, -8.69443488663024] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.1891004703147199, -0.3259126619214159] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.6260433113566987, -1.8823320342787937] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-53.62637619364403, -90.06994740784572] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.11#Ex1 10.11#Ex1] || [[Item:Q3107|<math>\HankelH{1}{\nu}@{ze^{\pi i}} = -e^{-\nu\pi i}\HankelH{2}{\nu}@{z}</math>]] || <code>HankelH1(nu, z*exp(Pi*I))= - exp(- nu*Pi*I)*HankelH2(nu, z)</code> || <code>HankelH1[\[Nu], z*Exp[Pi*I]]= - Exp[- \[Nu]*Pi*I]*HankelH2[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-53.62637626+90.06994733*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>168.4301368-8.694434719*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-.6260433097+1.882332034*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>1.189100470-.3259126629*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-53.62637619369183, 90.06994740780324] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.6260433113566327, 1.8823320342787686] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.1891004703150516, 0.325912661920741] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[168.43013693288603, 8.694434886635074] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.11#Ex2 10.11#Ex2] || [[Item:Q3108|<math>\HankelH{2}{\nu}@{ze^{-\pi i}} = -e^{\nu\pi i}\HankelH{1}{\nu}@{z}</math>]] || <code>HankelH2(nu, z*exp(- Pi*I))= - exp(nu*Pi*I)*HankelH1(nu, z)</code> || <code>HankelH2[\[Nu], z*Exp[- Pi*I]]= - Exp[\[Nu]*Pi*I]*HankelH1[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-.6260433097-1.882332034*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>1.189100470+.3259126629*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-53.62637626-90.06994733*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>168.4301368+8.694434719*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>168.4301366-8.694434556*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-53.62637618+90.06994731*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>1.189100470-.3259126621*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-.6260433071+1.882332032*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-0.6260433113566327, -1.8823320342787686] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-53.62637619369183, -90.06994740780324] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[168.43013693288603, -8.694434886635074] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.1891004703150516, -0.325912661920741] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.1891004703147199, 0.3259126619214159] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[168.43013693288248, 8.69443488663024] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-53.62637619364403, 90.06994740784572] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.6260433113566987, 1.8823320342787937] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.11#Ex2 10.11#Ex2] || [[Item:Q3108|<math>\HankelH{2}{\nu}@{ze^{-\pi i}} = -e^{\nu\pi i}\HankelH{1}{\nu}@{z}</math>]] || <code>HankelH2(nu, z*exp(- Pi*I))= - exp(nu*Pi*I)*HankelH1(nu, z)</code> || <code>HankelH2[\[Nu], z*Exp[- Pi*I]]= - Exp[\[Nu]*Pi*I]*HankelH1[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-.6260433097-1.882332034*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>1.189100470+.3259126629*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-53.62637626-90.06994733*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>168.4301368+8.694434719*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-0.6260433113566327, -1.8823320342787686] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-53.62637619369183, -90.06994740780324] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[168.43013693288603, -8.694434886635074] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.1891004703150516, -0.325912661920741] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
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| [https://dlmf.nist.gov/10.11.E6 10.11.E6] || [[Item:Q3109|<math>\BesselY{n}@{ze^{m\pi i}} = (-1)^{mn}(\BesselY{n}@{z}+2im\BesselJ{n}@{z})</math>]] || <code>BesselY(n, z*exp(m*Pi*I))=(- 1)^(m*n)*(BesselY(n, z)+ 2*I*m*BesselJ(n, z))</code> || <code>BesselY[n, z*Exp[m*Pi*I]]=(- 1)^(m*n)*(BesselY[n, z]+ 2*I*m*BesselJ[n, z])</code> || Failure || Failure || - || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-1.199101748008134, 3.9883106077057144] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.9168980103888886, -0.6611177226809124] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.5768397662292734, -0.34244579398718544] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.199101748008134, -3.9883106077057144] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.9168980103888886, -0.6611177226809124] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.5768397662292734, 0.34244579398718555] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.398203496016268, 7.976621215411429] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.8337960207777773, -1.3222354453618248] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.1536795324585467, -0.6848915879743711] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.199101748008134, -3.9883106077057144] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.9168980103888886, -0.6611177226809124] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.5768397662292734, 0.34244579398718555] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.1991017480081338, 3.9883106077057153] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.9168980103888886, -0.6611177226809124] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.5768397662292732, -0.34244579398718566] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.199101748008134, 3.9883106077057144] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.9168980103888886, -0.6611177226809124] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.5768397662292734, -0.34244579398718555] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.1991017480081338, -3.9883106077057153] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.9168980103888886, -0.6611177226809124] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.5768397662292732, 0.34244579398718566] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.199101748008134, -3.9883106077057144] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.9168980103888886, -0.6611177226809124] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.5768397662292734, 0.34244579398718544] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.199101748008134, 3.9883106077057144] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.9168980103888886, -0.6611177226809124] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.5768397662292734, -0.34244579398718555] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.398203496016268, -7.976621215411429] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.8337960207777773, -1.3222354453618248] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.1536795324585467, 0.6848915879743711] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.11.E6 10.11.E6] || [[Item:Q3109|<math>\BesselY{n}@{ze^{m\pi i}} = (-1)^{mn}(\BesselY{n}@{z}+2im\BesselJ{n}@{z})</math>]] || <code>BesselY(n, z*exp(m*Pi*I))=(- 1)^(m*n)*(BesselY(n, z)+ 2*I*m*BesselJ(n, z))</code> || <code>BesselY[n, z*Exp[m*Pi*I]]=(- 1)^(m*n)*(BesselY[n, z]+ 2*I*m*BesselJ[n, z])</code> || Failure || Failure || - || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-1.199101748008134, 3.9883106077057144] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.9168980103888886, -0.6611177226809124] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.5768397662292734, -0.34244579398718544] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.199101748008134, -3.9883106077057144] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.11.E7 10.11.E7] || [[Item:Q3110|<math>\HankelH{1}{n}@{ze^{m\pi i}} = (-1)^{mn-1}((m-1)\HankelH{1}{n}@{z}+m\HankelH{2}{n}@{z})</math>]] || <code>HankelH1(n, z*exp(m*Pi*I))=(- 1)^(m*n - 1)*((m - 1)*HankelH1(n, z)+ m*HankelH2(n, z))</code> || <code>HankelH1[n, z*Exp[m*Pi*I]]=(- 1)^(m*n - 1)*((m - 1)*HankelH1[n, z]+ m*HankelH2[n, z])</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-3.988310607-1.199101751*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 1}</code><br><code>.6611177206+1.916898011*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 2}</code><br><code>.3424457937-.5768397666*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 3}</code><br><code>3.988310606+1.199101748*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 1}</code><br><code>.6611177221+1.916898010*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 2}</code><br><code>-.3424457926+.5768397669*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 3}</code><br><code>-7.976621215-2.398203501*I <- {z = 2^(1/2)+I*2^(1/2), m = 3, n = 1}</code><br><code>1.322235442+3.833796022*I <- {z = 2^(1/2)+I*2^(1/2), m = 3, n = 2}</code><br><code>.684891587-1.153679533*I <- {z = 2^(1/2)+I*2^(1/2), m = 3, n = 3}</code><br><code>3.988310606-1.199101747*I <- {z = 2^(1/2)-I*2^(1/2), m = 2, n = 1}</code><br><code>.6611177232-1.916898009*I <- {z = 2^(1/2)-I*2^(1/2), m = 2, n = 2}</code><br><code>-.3424457921-.5768397671*I <- {z = 2^(1/2)-I*2^(1/2), m = 2, n = 3}</code><br><code>-3.988310606+1.199101749*I <- {z = 2^(1/2)-I*2^(1/2), m = 3, n = 1}</code><br><code>.6611177223-1.916898011*I <- {z = 2^(1/2)-I*2^(1/2), m = 3, n = 2}</code><br><code>.342445793+.5768397680*I <- {z = 2^(1/2)-I*2^(1/2), m = 3, n = 3}</code><br><code>-3.988310606-1.199101751*I <- {z = -2^(1/2)-I*2^(1/2), m = 2, n = 1}</code><br><code>.6611177206+1.916898011*I <- {z = -2^(1/2)-I*2^(1/2), m = 2, n = 2}</code><br><code>.342445794-.5768397667*I <- {z = -2^(1/2)-I*2^(1/2), m = 2, n = 3}</code><br><code>3.988310605+1.199101749*I <- {z = -2^(1/2)-I*2^(1/2), m = 3, n = 1}</code><br><code>.6611177217+1.916898010*I <- {z = -2^(1/2)-I*2^(1/2), m = 3, n = 2}</code><br><code>-.342445792+.5768397678*I <- {z = -2^(1/2)-I*2^(1/2), m = 3, n = 3}</code><br><code>3.988310605-1.199101747*I <- {z = -2^(1/2)+I*2^(1/2), m = 1, n = 1}</code><br><code>.6611177231-1.916898009*I <- {z = -2^(1/2)+I*2^(1/2), m = 1, n = 2}</code><br><code>-.3424457923-.5768397672*I <- {z = -2^(1/2)+I*2^(1/2), m = 1, n = 3}</code><br><code>-3.988310605+1.199101749*I <- {z = -2^(1/2)+I*2^(1/2), m = 2, n = 1}</code><br><code>.6611177218-1.916898010*I <- {z = -2^(1/2)+I*2^(1/2), m = 2, n = 2}</code><br><code>.342445793+.5768397669*I <- {z = -2^(1/2)+I*2^(1/2), m = 2, n = 3}</code><br><code>7.976621208-2.398203494*I <- {z = -2^(1/2)+I*2^(1/2), m = 3, n = 1}</code><br><code>1.322235446-3.833796018*I <- {z = -2^(1/2)+I*2^(1/2), m = 3, n = 2}</code><br><code>-.684891585-1.153679534*I <- {z = -2^(1/2)+I*2^(1/2), m = 3, n = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-3.988310607705715, -1.1991017480081343] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.6611177226809126, 1.9168980103888886] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.34244579398718544, -0.5768397662292732] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.988310607705715, 1.1991017480081343] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.6611177226809126, 1.9168980103888886] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.34244579398718566, 0.5768397662292731] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-7.976621215411431, -2.3982034960162686] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.3222354453618252, 3.8337960207777777] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.6848915879743713, -1.1536795324585465] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.988310607705715, -1.1991017480081343] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.6611177226809126, -1.9168980103888886] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.34244579398718566, -0.5768397662292731] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.988310607705715, 1.1991017480081343] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.6611177226809126, -1.9168980103888886] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.34244579398718566, 0.576839766229273] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.988310607705715, -1.199101748008134] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.6611177226809125, 1.9168980103888889] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.3424457939871852, -0.5768397662292732] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.988310607705715, 1.1991017480081343] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.6611177226809125, 1.9168980103888886] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.3424457939871852, 0.5768397662292731] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.988310607705715, -1.1991017480081343] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.6611177226809126, -1.9168980103888886] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.34244579398718544, -0.5768397662292732] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.988310607705715, 1.199101748008134] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.6611177226809125, -1.9168980103888889] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.3424457939871852, 0.5768397662292732] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7.97662121541143, -2.398203496016268] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.322235445361825, -3.8337960207777773] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.6848915879743704, -1.1536795324585465] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.11.E7 10.11.E7] || [[Item:Q3110|<math>\HankelH{1}{n}@{ze^{m\pi i}} = (-1)^{mn-1}((m-1)\HankelH{1}{n}@{z}+m\HankelH{2}{n}@{z})</math>]] || <code>HankelH1(n, z*exp(m*Pi*I))=(- 1)^(m*n - 1)*((m - 1)*HankelH1(n, z)+ m*HankelH2(n, z))</code> || <code>HankelH1[n, z*Exp[m*Pi*I]]=(- 1)^(m*n - 1)*((m - 1)*HankelH1[n, z]+ m*HankelH2[n, z])</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-3.988310607-1.199101751*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 1}</code><br><code>.6611177206+1.916898011*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 2}</code><br><code>.3424457937-.5768397666*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 3}</code><br><code>3.988310606+1.199101748*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 1}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-3.988310607705715, -1.1991017480081343] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.6611177226809126, 1.9168980103888886] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.34244579398718544, -0.5768397662292732] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.988310607705715, 1.1991017480081343] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.11.E8 10.11.E8] || [[Item:Q3111|<math>\HankelH{2}{n}@{ze^{m\pi i}} = (-1)^{mn}(m\HankelH{1}{n}@{z}+(m+1)\HankelH{2}{n}@{z})</math>]] || <code>HankelH2(n, z*exp(m*Pi*I))=(- 1)^(m*n)*(m*HankelH1(n, z)+(m + 1)*HankelH2(n, z))</code> || <code>HankelH2[n, z*Exp[m*Pi*I]]=(- 1)^(m*n)*(m*HankelH1[n, z]+(m + 1)*HankelH2[n, z])</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>3.988310606+1.199101748*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 1}</code><br><code>-.6611177221-1.916898010*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 2}</code><br><code>-.3424457926+.5768397669*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 3}</code><br><code>-3.988310606-1.199101746*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 1}</code><br><code>-.6611177234-1.916898010*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 2}</code><br><code>.342445792-.5768397671*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 3}</code><br><code>7.976621213+2.398203498*I <- {z = 2^(1/2)+I*2^(1/2), m = 3, n = 1}</code><br><code>-1.322235444-3.833796021*I <- {z = 2^(1/2)+I*2^(1/2), m = 3, n = 2}</code><br><code>-.684891586+1.153679534*I <- {z = 2^(1/2)+I*2^(1/2), m = 3, n = 3}</code><br><code>-3.988310606+1.199101749*I <- {z = 2^(1/2)-I*2^(1/2), m = 2, n = 1}</code><br><code>-.6611177223+1.916898011*I <- {z = 2^(1/2)-I*2^(1/2), m = 2, n = 2}</code><br><code>.342445793+.5768397668*I <- {z = 2^(1/2)-I*2^(1/2), m = 2, n = 3}</code><br><code>3.988310609-1.199101752*I <- {z = 2^(1/2)-I*2^(1/2), m = 3, n = 1}</code><br><code>-.6611177194+1.916898013*I <- {z = 2^(1/2)-I*2^(1/2), m = 3, n = 2}</code><br><code>-.342445793-.5768397674*I <- {z = 2^(1/2)-I*2^(1/2), m = 3, n = 3}</code><br><code>3.988310605+1.199101749*I <- {z = -2^(1/2)-I*2^(1/2), m = 2, n = 1}</code><br><code>-.6611177219-1.916898009*I <- {z = -2^(1/2)-I*2^(1/2), m = 2, n = 2}</code><br><code>-.342445793+.5768397668*I <- {z = -2^(1/2)-I*2^(1/2), m = 2, n = 3}</code><br><code>-3.988310602-1.199101745*I <- {z = -2^(1/2)-I*2^(1/2), m = 3, n = 1}</code><br><code>-.6611177242-1.916898008*I <- {z = -2^(1/2)-I*2^(1/2), m = 3, n = 2}</code><br><code>.342445792-.5768397684*I <- {z = -2^(1/2)-I*2^(1/2), m = 3, n = 3}</code><br><code>-3.988310605+1.199101749*I <- {z = -2^(1/2)+I*2^(1/2), m = 1, n = 1}</code><br><code>-.6611177218+1.916898010*I <- {z = -2^(1/2)+I*2^(1/2), m = 1, n = 2}</code><br><code>.342445793+.5768397669*I <- {z = -2^(1/2)+I*2^(1/2), m = 1, n = 3}</code><br><code>3.988310605-1.199101751*I <- {z = -2^(1/2)+I*2^(1/2), m = 2, n = 1}</code><br><code>-.6611177206+1.916898011*I <- {z = -2^(1/2)+I*2^(1/2), m = 2, n = 2}</code><br><code>-.342445794-.5768397668*I <- {z = -2^(1/2)+I*2^(1/2), m = 2, n = 3}</code><br><code>-7.976621210+2.398203498*I <- {z = -2^(1/2)+I*2^(1/2), m = 3, n = 1}</code><br><code>-1.322235444+3.833796020*I <- {z = -2^(1/2)+I*2^(1/2), m = 3, n = 2}</code><br><code>.684891586+1.153679534*I <- {z = -2^(1/2)+I*2^(1/2), m = 3, n = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[3.988310607705715, 1.1991017480081343] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.6611177226809126, -1.9168980103888886] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.34244579398718566, 0.5768397662292732] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.988310607705715, -1.1991017480081343] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.6611177226809126, -1.9168980103888886] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.34244579398718566, -0.5768397662292731] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7.97662121541143, 2.3982034960162686] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.3222354453618252, -3.8337960207777773] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.6848915879743713, 1.1536795324585463] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.988310607705715, 1.1991017480081343] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.6611177226809126, 1.9168980103888886] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.34244579398718566, 0.5768397662292731] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.988310607705715, -1.1991017480081343] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.6611177226809128, 1.9168980103888886] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.3424457939871859, -0.5768397662292729] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.988310607705715, 1.199101748008134] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.6611177226809125, -1.9168980103888889] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.3424457939871852, 0.5768397662292732] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.988310607705715, -1.1991017480081338] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.6611177226809125, -1.9168980103888889] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.3424457939871849, -0.5768397662292732] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.9883106077057153, 1.199101748008134] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.6611177226809125, 1.9168980103888889] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.3424457939871852, 0.5768397662292734] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.988310607705715, -1.199101748008134] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.6611177226809125, 1.9168980103888889] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.3424457939871852, -0.5768397662292732] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-7.976621215411431, 2.398203496016268] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.322235445361825, 3.8337960207777773] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.6848915879743704, 1.1536795324585465] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.11.E8 10.11.E8] || [[Item:Q3111|<math>\HankelH{2}{n}@{ze^{m\pi i}} = (-1)^{mn}(m\HankelH{1}{n}@{z}+(m+1)\HankelH{2}{n}@{z})</math>]] || <code>HankelH2(n, z*exp(m*Pi*I))=(- 1)^(m*n)*(m*HankelH1(n, z)+(m + 1)*HankelH2(n, z))</code> || <code>HankelH2[n, z*Exp[m*Pi*I]]=(- 1)^(m*n)*(m*HankelH1[n, z]+(m + 1)*HankelH2[n, z])</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>3.988310606+1.199101748*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 1}</code><br><code>-.6611177221-1.916898010*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 2}</code><br><code>-.3424457926+.5768397669*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 3}</code><br><code>-3.988310606-1.199101746*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 1}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[3.988310607705715, 1.1991017480081343] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.6611177226809126, -1.9168980103888886] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.34244579398718566, 0.5768397662292732] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.988310607705715, -1.1991017480081343] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.12.E1 10.12.E1] || [[Item:Q3116|<math>e^{\frac{1}{2}z(t-t^{-1})} = \sum_{m=-\infty}^{\infty}t^{m}\BesselJ{m}@{z}</math>]] || <code>exp((1)/(2)*z*(t - (t)^(- 1)))= sum((t)^(m)* BesselJ(m, z), m = - infinity..infinity)</code> || <code>Exp[Divide[1,2]*z*(t - (t)^(- 1))]= Sum[(t)^(m)* BesselJ[m, z], {m, - Infinity, Infinity}]</code> || Failure || Successful || Skip || -  
 
| [https://dlmf.nist.gov/10.12.E1 10.12.E1] || [[Item:Q3116|<math>e^{\frac{1}{2}z(t-t^{-1})} = \sum_{m=-\infty}^{\infty}t^{m}\BesselJ{m}@{z}</math>]] || <code>exp((1)/(2)*z*(t - (t)^(- 1)))= sum((t)^(m)* BesselJ(m, z), m = - infinity..infinity)</code> || <code>Exp[Divide[1,2]*z*(t - (t)^(- 1))]= Sum[(t)^(m)* BesselJ[m, z], {m, - Infinity, Infinity}]</code> || Failure || Successful || Skip || -  
Line 169: Line 169:
 
| [https://dlmf.nist.gov/10.12#Ex4 10.12#Ex4] || [[Item:Q3120|<math>\sin@{z\cos@@{\theta}} = 2\sum_{k=0}^{\infty}(-1)^{k}\BesselJ{2k+1}@{z}\cos@{(2k+1)\theta}</math>]] || <code>sin(z*cos(theta))= 2*sum((- 1)^(k)* BesselJ(2*k + 1, z)*cos((2*k + 1)* theta), k = 0..infinity)</code> || <code>Sin[z*Cos[\[Theta]]]= 2*Sum[(- 1)^(k)* BesselJ[2*k + 1, z]*Cos[(2*k + 1)* \[Theta]], {k, 0, Infinity}]</code> || Failure || Successful || Skip || -  
 
| [https://dlmf.nist.gov/10.12#Ex4 10.12#Ex4] || [[Item:Q3120|<math>\sin@{z\cos@@{\theta}} = 2\sum_{k=0}^{\infty}(-1)^{k}\BesselJ{2k+1}@{z}\cos@{(2k+1)\theta}</math>]] || <code>sin(z*cos(theta))= 2*sum((- 1)^(k)* BesselJ(2*k + 1, z)*cos((2*k + 1)* theta), k = 0..infinity)</code> || <code>Sin[z*Cos[\[Theta]]]= 2*Sum[(- 1)^(k)* BesselJ[2*k + 1, z]*Cos[(2*k + 1)* \[Theta]], {k, 0, Infinity}]</code> || Failure || Successful || Skip || -  
 
|-
 
|-
| [https://dlmf.nist.gov/10.14#Ex1 10.14#Ex1] || [[Item:Q3137|<math>|\BesselJ{\nu}@{x}| <= 1</math>]] || <code>abs(BesselJ(nu, x))< = 1</code> || <code>Abs[BesselJ[\[Nu], x]]< = 1</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>1.148999867 <= 1. <- {nu = 2^(1/2)+I*2^(1/2), x = 3}</code><br><code>1.148999867 <= 1. <- {nu = 2^(1/2)-I*2^(1/2), x = 3}</code><br><code>14.70966635 <= 1. <- {nu = -2^(1/2)-I*2^(1/2), x = 1}</code><br><code>6.163423173 <= 1. <- {nu = -2^(1/2)-I*2^(1/2), x = 2}</code><br><code>3.923374925 <= 1. <- {nu = -2^(1/2)-I*2^(1/2), x = 3}</code><br><code>14.70966635 <= 1. <- {nu = -2^(1/2)+I*2^(1/2), x = 1}</code><br><code>6.163423173 <= 1. <- {nu = -2^(1/2)+I*2^(1/2), x = 2}</code><br><code>3.923374925 <= 1. <- {nu = -2^(1/2)+I*2^(1/2), x = 3}</code><br></div></div> || Successful  
+
| [https://dlmf.nist.gov/10.14#Ex1 10.14#Ex1] || [[Item:Q3137|<math>|\BesselJ{\nu}@{x}| <= 1</math>]] || <code>abs(BesselJ(nu, x))< = 1</code> || <code>Abs[BesselJ[\[Nu], x]]< = 1</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>1.148999867 <= 1. <- {nu = 2^(1/2)+I*2^(1/2), x = 3}</code><br><code>1.148999867 <= 1. <- {nu = 2^(1/2)-I*2^(1/2), x = 3}</code><br><code>14.70966635 <= 1. <- {nu = -2^(1/2)-I*2^(1/2), x = 1}</code><br><code>6.163423173 <= 1. <- {nu = -2^(1/2)-I*2^(1/2), x = 2}</code><br>... skip entries to safe data<br></div></div> || Successful  
 
|-
 
|-
| [https://dlmf.nist.gov/10.14#Ex2 10.14#Ex2] || [[Item:Q3138|<math>|\BesselJ{\nu}@{x}| <= 2^{-\frac{1}{2}}</math>]] || <code>abs(BesselJ(nu, x))< = (2)^(-(1)/(2))</code> || <code>Abs[BesselJ[\[Nu], x]]< = (2)^(-Divide[1,2])</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>.9422017731 <= .7071067810 <- {nu = 2^(1/2)+I*2^(1/2), x = 2}</code><br><code>1.148999867 <= .7071067810 <- {nu = 2^(1/2)+I*2^(1/2), x = 3}</code><br><code>.9422017731 <= .7071067810 <- {nu = 2^(1/2)-I*2^(1/2), x = 2}</code><br><code>1.148999867 <= .7071067810 <- {nu = 2^(1/2)-I*2^(1/2), x = 3}</code><br><code>14.70966635 <= .7071067810 <- {nu = -2^(1/2)-I*2^(1/2), x = 1}</code><br><code>6.163423173 <= .7071067810 <- {nu = -2^(1/2)-I*2^(1/2), x = 2}</code><br><code>3.923374925 <= .7071067810 <- {nu = -2^(1/2)-I*2^(1/2), x = 3}</code><br><code>14.70966635 <= .7071067810 <- {nu = -2^(1/2)+I*2^(1/2), x = 1}</code><br><code>6.163423173 <= .7071067810 <- {nu = -2^(1/2)+I*2^(1/2), x = 2}</code><br><code>3.923374925 <= .7071067810 <- {nu = -2^(1/2)+I*2^(1/2), x = 3}</code><br></div></div> || Successful  
+
| [https://dlmf.nist.gov/10.14#Ex2 10.14#Ex2] || [[Item:Q3138|<math>|\BesselJ{\nu}@{x}| <= 2^{-\frac{1}{2}}</math>]] || <code>abs(BesselJ(nu, x))< = (2)^(-(1)/(2))</code> || <code>Abs[BesselJ[\[Nu], x]]< = (2)^(-Divide[1,2])</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>.9422017731 <= .7071067810 <- {nu = 2^(1/2)+I*2^(1/2), x = 2}</code><br><code>1.148999867 <= .7071067810 <- {nu = 2^(1/2)+I*2^(1/2), x = 3}</code><br><code>.9422017731 <= .7071067810 <- {nu = 2^(1/2)-I*2^(1/2), x = 2}</code><br><code>1.148999867 <= .7071067810 <- {nu = 2^(1/2)-I*2^(1/2), x = 3}</code><br>... skip entries to safe data<br></div></div> || Successful  
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.14.E2 10.14.E2] || [[Item:Q3139|<math>0 < \BesselJ{\nu}@{\nu}</math>]] || <code>0 < BesselJ(nu, nu)</code> || <code>0 < BesselJ[\[Nu], \[Nu]]</code> || Failure || Failure || Successful || Successful  
 
| [https://dlmf.nist.gov/10.14.E2 10.14.E2] || [[Item:Q3139|<math>0 < \BesselJ{\nu}@{\nu}</math>]] || <code>0 < BesselJ(nu, nu)</code> || <code>0 < BesselJ[\[Nu], \[Nu]]</code> || Failure || Failure || Successful || Successful  
Line 191: Line 191:
 
| [https://dlmf.nist.gov/10.14.E8 10.14.E8] || [[Item:Q3145|<math>|\BesselJ{n}@{nz}| <= \frac{\left|z^{n}\exp@{n(1-z^{2})^{\frac{1}{2}}}\right|}{\left|1+(1-z^{2})^{\frac{1}{2}}\right|^{n}}</math>]] || <code>abs(BesselJ(n, n*z))< =(abs((z)^(n)* exp(n*(1 - (z)^(2))^((1)/(2)))))/((abs(1 +(1 - (z)^(2))^((1)/(2))))^(n))</code> || <code>Abs[BesselJ[n, n*z]]< =Divide[Abs[(z)^(n)* Exp[n*(1 - (z)^(2))^(Divide[1,2])]],(Abs[1 +(1 - (z)^(2))^(Divide[1,2])])^(n)]</code> || Failure || Failure || Successful || Successful  
 
| [https://dlmf.nist.gov/10.14.E8 10.14.E8] || [[Item:Q3145|<math>|\BesselJ{n}@{nz}| <= \frac{\left|z^{n}\exp@{n(1-z^{2})^{\frac{1}{2}}}\right|}{\left|1+(1-z^{2})^{\frac{1}{2}}\right|^{n}}</math>]] || <code>abs(BesselJ(n, n*z))< =(abs((z)^(n)* exp(n*(1 - (z)^(2))^((1)/(2)))))/((abs(1 +(1 - (z)^(2))^((1)/(2))))^(n))</code> || <code>Abs[BesselJ[n, n*z]]< =Divide[Abs[(z)^(n)* Exp[n*(1 - (z)^(2))^(Divide[1,2])]],(Abs[1 +(1 - (z)^(2))^(Divide[1,2])])^(n)]</code> || Failure || Failure || Successful || Successful  
 
|-
 
|-
| [https://dlmf.nist.gov/10.14.E9 10.14.E9] || [[Item:Q3146|<math>|\BesselJ{n}@{nz}| <= 1</math>]] || <code>abs(BesselJ(n, n*z))< = 1</code> || <code>Abs[BesselJ[n, n*z]]< = 1</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>1.041167208 <= 1. <- {z = 2^(1/2)+I*2^(1/2), n = 1}</code><br><code>2.428697298 <= 1. <- {z = 2^(1/2)+I*2^(1/2), n = 2}</code><br><code>6.705297847 <= 1. <- {z = 2^(1/2)+I*2^(1/2), n = 3}</code><br><code>1.041167208 <= 1. <- {z = 2^(1/2)-I*2^(1/2), n = 1}</code><br><code>2.428697298 <= 1. <- {z = 2^(1/2)-I*2^(1/2), n = 2}</code><br><code>6.705297847 <= 1. <- {z = 2^(1/2)-I*2^(1/2), n = 3}</code><br><code>1.041167208 <= 1. <- {z = -2^(1/2)-I*2^(1/2), n = 1}</code><br><code>2.428697298 <= 1. <- {z = -2^(1/2)-I*2^(1/2), n = 2}</code><br><code>6.705297847 <= 1. <- {z = -2^(1/2)-I*2^(1/2), n = 3}</code><br><code>1.041167208 <= 1. <- {z = -2^(1/2)+I*2^(1/2), n = 1}</code><br><code>2.428697298 <= 1. <- {z = -2^(1/2)+I*2^(1/2), n = 2}</code><br><code>6.705297847 <= 1. <- {z = -2^(1/2)+I*2^(1/2), n = 3}</code><br></div></div> || Successful  
+
| [https://dlmf.nist.gov/10.14.E9 10.14.E9] || [[Item:Q3146|<math>|\BesselJ{n}@{nz}| <= 1</math>]] || <code>abs(BesselJ(n, n*z))< = 1</code> || <code>Abs[BesselJ[n, n*z]]< = 1</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>1.041167208 <= 1. <- {z = 2^(1/2)+I*2^(1/2), n = 1}</code><br><code>2.428697298 <= 1. <- {z = 2^(1/2)+I*2^(1/2), n = 2}</code><br><code>6.705297847 <= 1. <- {z = 2^(1/2)+I*2^(1/2), n = 3}</code><br><code>1.041167208 <= 1. <- {z = 2^(1/2)-I*2^(1/2), n = 1}</code><br>... skip entries to safe data<br></div></div> || Successful  
 
|-
 
|-
| [https://dlmf.nist.gov/10.15.E1 10.15.E1] || [[Item:Q3147|<math>\pderiv{\BesselJ{+\nu}@{z}}{\nu} = +\BesselJ{+\nu}@{z}\ln@{\tfrac{1}{2}z}-(\tfrac{1}{2}z)^{+\nu}\sum_{k=0}^{\infty}(-1)^{k}\frac{\digamma@{k+1+\nu}}{\EulerGamma@{k+1+\nu}}\frac{(\tfrac{1}{4}z^{2})^{k}}{k!}</math>]] || <code>diff(BesselJ(+ nu, z), nu)= + BesselJ(+ nu, z)*ln((1)/(2)*z)-((1)/(2)*z)^(+ nu)* sum((- 1)^(k)*(Psi(k + 1 + nu))/(GAMMA(k + 1 + nu))*(((1)/(4)*(z)^(2))^(k))/(factorial(k)), k = 0..infinity)</code> || <code>D[BesselJ[+ \[Nu], z], \[Nu]]= + BesselJ[+ \[Nu], z]*Log[Divide[1,2]*z]-(Divide[1,2]*z)^(+ \[Nu])* Sum[(- 1)^(k)*Divide[PolyGamma[k + 1 + \[Nu]],Gamma[k + 1 + \[Nu]]]*Divide[(Divide[1,4]*(z)^(2))^(k),(k)!], {k, 0, Infinity}]</code> || Failure || Failure || Skip || Skip
+
| [https://dlmf.nist.gov/10.15.E1 10.15.E1] || [[Item:Q3147|<math>\pderiv{\BesselJ{+\nu}@{z}}{\nu} = +\BesselJ{+\nu}@{z}\ln@{\tfrac{1}{2}z}-(\tfrac{1}{2}z)^{+\nu}\sum_{k=0}^{\infty}(-1)^{k}\frac{\digamma@{k+1+\nu}}{\EulerGamma@{k+1+\nu}}\frac{(\tfrac{1}{4}z^{2})^{k}}{k!}</math>]] || <code>diff(BesselJ(+ nu, z), nu)= + BesselJ(+ nu, z)*ln((1)/(2)*z)-((1)/(2)*z)^(+ nu)* sum((- 1)^(k)*(Psi(k + 1 + nu))/(GAMMA(k + 1 + nu))*(((1)/(4)*(z)^(2))^(k))/(factorial(k)), k = 0..infinity)</code> || <code>D[BesselJ[+ \[Nu], z], \[Nu]]= + BesselJ[+ \[Nu], z]*Log[Divide[1,2]*z]-(Divide[1,2]*z)^(+ \[Nu])* Sum[(- 1)^(k)*Divide[PolyGamma[k + 1 + \[Nu]],Gamma[k + 1 + \[Nu]]]*Divide[(Divide[1,4]*(z)^(2))^(k),(k)!], {k, 0, Infinity}]</code> || Failure || Failure || Skip || Successful
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.15.E1 10.15.E1] || [[Item:Q3147|<math>\pderiv{\BesselJ{-\nu}@{z}}{\nu} = -\BesselJ{-\nu}@{z}\ln@{\tfrac{1}{2}z}+(\tfrac{1}{2}z)^{-\nu}\sum_{k=0}^{\infty}(-1)^{k}\frac{\digamma@{k+1-\nu}}{\EulerGamma@{k+1-\nu}}\frac{(\tfrac{1}{4}z^{2})^{k}}{k!}</math>]] || <code>diff(BesselJ(- nu, z), nu)= - BesselJ(- nu, z)*ln((1)/(2)*z)+((1)/(2)*z)^(- nu)* sum((- 1)^(k)*(Psi(k + 1 - nu))/(GAMMA(k + 1 - nu))*(((1)/(4)*(z)^(2))^(k))/(factorial(k)), k = 0..infinity)</code> || <code>D[BesselJ[- \[Nu], z], \[Nu]]= - BesselJ[- \[Nu], z]*Log[Divide[1,2]*z]+(Divide[1,2]*z)^(- \[Nu])* Sum[(- 1)^(k)*Divide[PolyGamma[k + 1 - \[Nu]],Gamma[k + 1 - \[Nu]]]*Divide[(Divide[1,4]*(z)^(2))^(k),(k)!], {k, 0, Infinity}]</code> || Failure || Failure || Skip || Successful  
 
| [https://dlmf.nist.gov/10.15.E1 10.15.E1] || [[Item:Q3147|<math>\pderiv{\BesselJ{-\nu}@{z}}{\nu} = -\BesselJ{-\nu}@{z}\ln@{\tfrac{1}{2}z}+(\tfrac{1}{2}z)^{-\nu}\sum_{k=0}^{\infty}(-1)^{k}\frac{\digamma@{k+1-\nu}}{\EulerGamma@{k+1-\nu}}\frac{(\tfrac{1}{4}z^{2})^{k}}{k!}</math>]] || <code>diff(BesselJ(- nu, z), nu)= - BesselJ(- nu, z)*ln((1)/(2)*z)+((1)/(2)*z)^(- nu)* sum((- 1)^(k)*(Psi(k + 1 - nu))/(GAMMA(k + 1 - nu))*(((1)/(4)*(z)^(2))^(k))/(factorial(k)), k = 0..infinity)</code> || <code>D[BesselJ[- \[Nu], z], \[Nu]]= - BesselJ[- \[Nu], z]*Log[Divide[1,2]*z]+(Divide[1,2]*z)^(- \[Nu])* Sum[(- 1)^(k)*Divide[PolyGamma[k + 1 - \[Nu]],Gamma[k + 1 - \[Nu]]]*Divide[(Divide[1,4]*(z)^(2))^(k),(k)!], {k, 0, Infinity}]</code> || Failure || Failure || Skip || Successful  
Line 251: Line 251:
 
| [https://dlmf.nist.gov/10.19#Ex19 10.19#Ex19] || [[Item:Q3237|<math>\assLegendreQ[]{3}@{a} = \tfrac{549}{28000}a^{8}-\tfrac{1\;10767}{6\;93000}a^{5}+\tfrac{79}{12375}a^{2}</math>]] || <code>LegendreQ(3, a)=(549)/(28000)*(a)^(8)-(110767)/(693000)*(a)^(5)+(79)/(12375)*(a)^(2)</code> || <code>LegendreQ[3, 0, 3, a]=Divide[549,28000]*(a)^(8)-Divide[110767,693000]*(a)^(5)+Divide[79,12375]*(a)^(2)</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-8.639472248-3.641292303*I <- {a = 2^(1/2)+I*2^(1/2)}</code><br><code>-8.639472248+3.641292303*I <- {a = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.406078034+3.592101911*I <- {a = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.406078034-3.592101911*I <- {a = -2^(1/2)+I*2^(1/2)}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-8.639472261933392, -3.641292307775128] <- {Rule[a, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-8.639472261933392, 3.641292307775128] <- {Rule[a, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4060780379389062, 3.592101916219356] <- {Rule[a, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4060780379389062, -3.592101916219356] <- {Rule[a, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
 
| [https://dlmf.nist.gov/10.19#Ex19 10.19#Ex19] || [[Item:Q3237|<math>\assLegendreQ[]{3}@{a} = \tfrac{549}{28000}a^{8}-\tfrac{1\;10767}{6\;93000}a^{5}+\tfrac{79}{12375}a^{2}</math>]] || <code>LegendreQ(3, a)=(549)/(28000)*(a)^(8)-(110767)/(693000)*(a)^(5)+(79)/(12375)*(a)^(2)</code> || <code>LegendreQ[3, 0, 3, a]=Divide[549,28000]*(a)^(8)-Divide[110767,693000]*(a)^(5)+Divide[79,12375]*(a)^(2)</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-8.639472248-3.641292303*I <- {a = 2^(1/2)+I*2^(1/2)}</code><br><code>-8.639472248+3.641292303*I <- {a = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.406078034+3.592101911*I <- {a = -2^(1/2)-I*2^(1/2)}</code><br><code>-1.406078034-3.592101911*I <- {a = -2^(1/2)+I*2^(1/2)}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-8.639472261933392, -3.641292307775128] <- {Rule[a, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-8.639472261933392, 3.641292307775128] <- {Rule[a, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4060780379389062, 3.592101916219356] <- {Rule[a, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4060780379389062, -3.592101916219356] <- {Rule[a, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.20.E1 10.20.E1] || [[Item:Q3250|<math>\left(\deriv{\zeta}{z}\right)^{2} = \frac{1-z^{2}}{\zeta z^{2}}</math>]] || <code>(diff(zeta, z))^(2)=(1 - (z)^(2))/(zeta*(z)^(2))</code> || <code>(D[\[zeta], z])^(2)=Divide[1 - (z)^(2),\[zeta]*(z)^(2)]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>.4419417384-.2651650430*I <- {z = 2^(1/2)+I*2^(1/2), zeta = 2^(1/2)+I*2^(1/2)}</code><br><code>.2651650430+.4419417384*I <- {z = 2^(1/2)+I*2^(1/2), zeta = 2^(1/2)-I*2^(1/2)}</code><br><code>-.4419417384+.2651650430*I <- {z = 2^(1/2)+I*2^(1/2), zeta = -2^(1/2)-I*2^(1/2)}</code><br><code>-.2651650430-.4419417384*I <- {z = 2^(1/2)+I*2^(1/2), zeta = -2^(1/2)+I*2^(1/2)}</code><br><code>.2651650430-.4419417384*I <- {z = 2^(1/2)-I*2^(1/2), zeta = 2^(1/2)+I*2^(1/2)}</code><br><code>.4419417384+.2651650430*I <- {z = 2^(1/2)-I*2^(1/2), zeta = 2^(1/2)-I*2^(1/2)}</code><br><code>-.2651650430+.4419417384*I <- {z = 2^(1/2)-I*2^(1/2), zeta = -2^(1/2)-I*2^(1/2)}</code><br><code>-.4419417384-.2651650430*I <- {z = 2^(1/2)-I*2^(1/2), zeta = -2^(1/2)+I*2^(1/2)}</code><br><code>.4419417384-.2651650430*I <- {z = -2^(1/2)-I*2^(1/2), zeta = 2^(1/2)+I*2^(1/2)}</code><br><code>.2651650430+.4419417384*I <- {z = -2^(1/2)-I*2^(1/2), zeta = 2^(1/2)-I*2^(1/2)}</code><br><code>-.4419417384+.2651650430*I <- {z = -2^(1/2)-I*2^(1/2), zeta = -2^(1/2)-I*2^(1/2)}</code><br><code>-.2651650430-.4419417384*I <- {z = -2^(1/2)-I*2^(1/2), zeta = -2^(1/2)+I*2^(1/2)}</code><br><code>.2651650430-.4419417384*I <- {z = -2^(1/2)+I*2^(1/2), zeta = 2^(1/2)+I*2^(1/2)}</code><br><code>.4419417384+.2651650430*I <- {z = -2^(1/2)+I*2^(1/2), zeta = 2^(1/2)-I*2^(1/2)}</code><br><code>-.2651650430+.4419417384*I <- {z = -2^(1/2)+I*2^(1/2), zeta = -2^(1/2)-I*2^(1/2)}</code><br><code>-.4419417384-.2651650430*I <- {z = -2^(1/2)+I*2^(1/2), zeta = -2^(1/2)+I*2^(1/2)}</code><br></div></div> || Error  
+
| [https://dlmf.nist.gov/10.20.E1 10.20.E1] || [[Item:Q3250|<math>\left(\deriv{\zeta}{z}\right)^{2} = \frac{1-z^{2}}{\zeta z^{2}}</math>]] || <code>(diff(zeta, z))^(2)=(1 - (z)^(2))/(zeta*(z)^(2))</code> || <code>(D[\[zeta], z])^(2)=Divide[1 - (z)^(2),\[zeta]*(z)^(2)]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>.4419417384-.2651650430*I <- {z = 2^(1/2)+I*2^(1/2), zeta = 2^(1/2)+I*2^(1/2)}</code><br><code>.2651650430+.4419417384*I <- {z = 2^(1/2)+I*2^(1/2), zeta = 2^(1/2)-I*2^(1/2)}</code><br><code>-.4419417384+.2651650430*I <- {z = 2^(1/2)+I*2^(1/2), zeta = -2^(1/2)-I*2^(1/2)}</code><br><code>-.2651650430-.4419417384*I <- {z = 2^(1/2)+I*2^(1/2), zeta = -2^(1/2)+I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || Error  
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.20.E2 10.20.E2] || [[Item:Q3251|<math>\frac{2}{3}\zeta^{\frac{3}{2}} = \int_{z}^{1}\frac{\sqrt{1-t^{2}}}{t}\diff{t}</math>]] || <code>(2)/(3)*(zeta)^((3)/(2))= int((sqrt(1 - (t)^(2)))/(t), t = z..1)</code> || <code>Divide[2,3]*(\[zeta])^(Divide[3,2])= Integrate[Divide[Sqrt[1 - (t)^(2)],t], {t, z, 1}]</code> || Error || Failure || - || Error  
 
| [https://dlmf.nist.gov/10.20.E2 10.20.E2] || [[Item:Q3251|<math>\frac{2}{3}\zeta^{\frac{3}{2}} = \int_{z}^{1}\frac{\sqrt{1-t^{2}}}{t}\diff{t}</math>]] || <code>(2)/(3)*(zeta)^((3)/(2))= int((sqrt(1 - (t)^(2)))/(t), t = z..1)</code> || <code>Divide[2,3]*(\[zeta])^(Divide[3,2])= Integrate[Divide[Sqrt[1 - (t)^(2)],t], {t, z, 1}]</code> || Error || Failure || - || Error  
Line 277: Line 277:
 
| [https://dlmf.nist.gov/10.22.E9 10.22.E9] || [[Item:Q3383|<math>\int_{0}^{x}\BesselJ{0}@{t}\diff{t}-2\sum_{k=0}^{n-1}\BesselJ{2k+1}@{x},\quad\int_{0}^{x}\BesselJ{2n+1}@{t}\diff{t} = 1-\BesselJ{0}@{x}-2\sum_{k=1}^{n}\BesselJ{2k}@{x}</math>]] || <code>int(BesselJ(0, t), t = 0..x)- 2*sum(BesselJ(2*k + 1, x), k = 0..n - 1), int(BesselJ(2*n + 1, t), t = 0..x)= 1 - BesselJ(0, x)- 2*sum(BesselJ(2*k, x), k = 1..n)</code> || <code>Integrate[BesselJ[0, t], {t, 0, x}]- 2*Sum[BesselJ[2*k + 1, x], {k, 0, n - 1}], Integrate[BesselJ[2*n + 1, t], {t, 0, x}]= 1 - BesselJ[0, x]- 2*Sum[BesselJ[2*k, x], {k, 1, n}]</code> || Error || Failure || - || Error  
 
| [https://dlmf.nist.gov/10.22.E9 10.22.E9] || [[Item:Q3383|<math>\int_{0}^{x}\BesselJ{0}@{t}\diff{t}-2\sum_{k=0}^{n-1}\BesselJ{2k+1}@{x},\quad\int_{0}^{x}\BesselJ{2n+1}@{t}\diff{t} = 1-\BesselJ{0}@{x}-2\sum_{k=1}^{n}\BesselJ{2k}@{x}</math>]] || <code>int(BesselJ(0, t), t = 0..x)- 2*sum(BesselJ(2*k + 1, x), k = 0..n - 1), int(BesselJ(2*n + 1, t), t = 0..x)= 1 - BesselJ(0, x)- 2*sum(BesselJ(2*k, x), k = 1..n)</code> || <code>Integrate[BesselJ[0, t], {t, 0, x}]- 2*Sum[BesselJ[2*k + 1, x], {k, 0, n - 1}], Integrate[BesselJ[2*n + 1, t], {t, 0, x}]= 1 - BesselJ[0, x]- 2*Sum[BesselJ[2*k, x], {k, 1, n}]</code> || Error || Failure || - || Error  
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E10 10.22.E10] || [[Item:Q3384|<math>\int_{0}^{x}t^{\mu}\BesselJ{\nu}@{t}\diff{t} = x^{\mu}\frac{\EulerGamma@{\frac{1}{2}\nu+\frac{1}{2}\mu+\frac{1}{2}}}{\EulerGamma@{\frac{1}{2}\nu-\frac{1}{2}\mu+\frac{1}{2}}}\*\sum_{k=0}^{\infty}\frac{(\nu+2k+1)\EulerGamma@{\frac{1}{2}\nu-\frac{1}{2}\mu+\frac{1}{2}+k}}{\EulerGamma@{\frac{1}{2}\nu+\frac{1}{2}\mu+\frac{3}{2}+k}}\BesselJ{\nu+2k+1}@{x}</math>]] || <code>int((t)^(mu)* BesselJ(nu, t), t = 0..x)= (x)^(mu)*(GAMMA((1)/(2)*nu +(1)/(2)*mu +(1)/(2)))/(GAMMA((1)/(2)*nu -(1)/(2)*mu +(1)/(2)))* sum(((nu + 2*k + 1)* GAMMA((1)/(2)*nu -(1)/(2)*mu +(1)/(2)+ k))/(GAMMA((1)/(2)*nu +(1)/(2)*mu +(3)/(2)+ k))*BesselJ(nu + 2*k + 1, x), k = 0..infinity)</code> || <code>Integrate[(t)^(\[Mu])* BesselJ[\[Nu], t], {t, 0, x}]= (x)^(\[Mu])*Divide[Gamma[Divide[1,2]*\[Nu]+Divide[1,2]*\[Mu]+Divide[1,2]],Gamma[Divide[1,2]*\[Nu]-Divide[1,2]*\[Mu]+Divide[1,2]]]* Sum[Divide[(\[Nu]+ 2*k + 1)* Gamma[Divide[1,2]*\[Nu]-Divide[1,2]*\[Mu]+Divide[1,2]+ k],Gamma[Divide[1,2]*\[Nu]+Divide[1,2]*\[Mu]+Divide[3,2]+ k]]*BesselJ[\[Nu]+ 2*k + 1, x], {k, 0, Infinity}]</code> || Failure || Failure || Skip || Skip
+
| [https://dlmf.nist.gov/10.22.E10 10.22.E10] || [[Item:Q3384|<math>\int_{0}^{x}t^{\mu}\BesselJ{\nu}@{t}\diff{t} = x^{\mu}\frac{\EulerGamma@{\frac{1}{2}\nu+\frac{1}{2}\mu+\frac{1}{2}}}{\EulerGamma@{\frac{1}{2}\nu-\frac{1}{2}\mu+\frac{1}{2}}}\*\sum_{k=0}^{\infty}\frac{(\nu+2k+1)\EulerGamma@{\frac{1}{2}\nu-\frac{1}{2}\mu+\frac{1}{2}+k}}{\EulerGamma@{\frac{1}{2}\nu+\frac{1}{2}\mu+\frac{3}{2}+k}}\BesselJ{\nu+2k+1}@{x}</math>]] || <code>int((t)^(mu)* BesselJ(nu, t), t = 0..x)= (x)^(mu)*(GAMMA((1)/(2)*nu +(1)/(2)*mu +(1)/(2)))/(GAMMA((1)/(2)*nu -(1)/(2)*mu +(1)/(2)))* sum(((nu + 2*k + 1)* GAMMA((1)/(2)*nu -(1)/(2)*mu +(1)/(2)+ k))/(GAMMA((1)/(2)*nu +(1)/(2)*mu +(3)/(2)+ k))*BesselJ(nu + 2*k + 1, x), k = 0..infinity)</code> || <code>Integrate[(t)^(\[Mu])* BesselJ[\[Nu], t], {t, 0, x}]= (x)^(\[Mu])*Divide[Gamma[Divide[1,2]*\[Nu]+Divide[1,2]*\[Mu]+Divide[1,2]],Gamma[Divide[1,2]*\[Nu]-Divide[1,2]*\[Mu]+Divide[1,2]]]* Sum[Divide[(\[Nu]+ 2*k + 1)* Gamma[Divide[1,2]*\[Nu]-Divide[1,2]*\[Mu]+Divide[1,2]+ k],Gamma[Divide[1,2]*\[Nu]+Divide[1,2]*\[Mu]+Divide[3,2]+ k]]*BesselJ[\[Nu]+ 2*k + 1, x], {k, 0, Infinity}]</code> || Failure || Failure || Skip || Successful
 
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| [https://dlmf.nist.gov/10.22.E11 10.22.E11] || [[Item:Q3385|<math>\int_{0}^{x}\frac{1-\BesselJ{0}@{t}}{t}\diff{t} = \frac{1}{2}\sum_{k=1}^{\infty}\frac{\digamma@{k+1}-\digamma@{1}}{k!}(\tfrac{1}{2}x)^{k}\BesselJ{k}@{x}</math>]] || <code>int((1 - BesselJ(0, t))/(t), t = 0..x)=(1)/(2)*sum((Psi(k + 1)- Psi(1))/(factorial(k))*((1)/(2)*x)^(k)* BesselJ(k, x), k = 1..infinity)</code> || <code>Integrate[Divide[1 - BesselJ[0, t],t], {t, 0, x}]=Divide[1,2]*Sum[Divide[PolyGamma[k + 1]- PolyGamma[1],(k)!]*(Divide[1,2]*x)^(k)* BesselJ[k, x], {k, 1, Infinity}]</code> || Failure || Failure || Skip || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[1.4142135623730951, 1.4142135623730951] <- {Rule[ConditionalExpression[Plus[Times[Rational[1, 8], Power[x, 2], HypergeometricPFQ[{1, 1}, {2, 2, 2}, Times[Rational[-1, 4], Power[x, 2]]]], Times[Rational[-1, 2], Sum[Times[Power[2, Times[-1, k]], Power[x, k], BesselJ[k, x], Power[Factorial[k], -1], Plus[EulerGamma, PolyGamma[0, Plus[1, k]]]], {k, 1, DirectedInfinity[1]}]]], And[GreaterEqual[Re[x], 0], Equal[Im[x], 0]]], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.4142135623730951, -1.4142135623730951] <- {Rule[ConditionalExpression[Plus[Times[Rational[1, 8], Power[x, 2], HypergeometricPFQ[{1, 1}, {2, 2, 2}, Times[Rational[-1, 4], Power[x, 2]]]], Times[Rational[-1, 2], Sum[Times[Power[2, Times[-1, k]], Power[x, k], BesselJ[k, x], Power[Factorial[k], -1], Plus[EulerGamma, PolyGamma[0, Plus[1, k]]]], {k, 1, DirectedInfinity[1]}]]], And[GreaterEqual[Re[x], 0], Equal[Im[x], 0]]], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, -1.4142135623730951] <- {Rule[ConditionalExpression[Plus[Times[Rational[1, 8], Power[x, 2], HypergeometricPFQ[{1, 1}, {2, 2, 2}, Times[Rational[-1, 4], Power[x, 2]]]], Times[Rational[-1, 2], Sum[Times[Power[2, Times[-1, k]], Power[x, k], BesselJ[k, x], Power[Factorial[k], -1], Plus[EulerGamma, PolyGamma[0, Plus[1, k]]]], {k, 1, DirectedInfinity[1]}]]], And[GreaterEqual[Re[x], 0], Equal[Im[x], 0]]], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, 1.4142135623730951] <- {Rule[ConditionalExpression[Plus[Times[Rational[1, 8], Power[x, 2], HypergeometricPFQ[{1, 1}, {2, 2, 2}, Times[Rational[-1, 4], Power[x, 2]]]], Times[Rational[-1, 2], Sum[Times[Power[2, Times[-1, k]], Power[x, k], BesselJ[k, x], Power[Factorial[k], -1], Plus[EulerGamma, PolyGamma[0, Plus[1, k]]]], {k, 1, DirectedInfinity[1]}]]], And[GreaterEqual[Re[x], 0], Equal[Im[x], 0]]], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>
+
| [https://dlmf.nist.gov/10.22.E11 10.22.E11] || [[Item:Q3385|<math>\int_{0}^{x}\frac{1-\BesselJ{0}@{t}}{t}\diff{t} = \frac{1}{2}\sum_{k=1}^{\infty}\frac{\digamma@{k+1}-\digamma@{1}}{k!}(\tfrac{1}{2}x)^{k}\BesselJ{k}@{x}</math>]] || <code>int((1 - BesselJ(0, t))/(t), t = 0..x)=(1)/(2)*sum((Psi(k + 1)- Psi(1))/(factorial(k))*((1)/(2)*x)^(k)* BesselJ(k, x), k = 1..infinity)</code> || <code>Integrate[Divide[1 - BesselJ[0, t],t], {t, 0, x}]=Divide[1,2]*Sum[Divide[PolyGamma[k + 1]- PolyGamma[1],(k)!]*(Divide[1,2]*x)^(k)* BesselJ[k, x], {k, 1, Infinity}]</code> || Failure || Failure || Skip || Skip
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.22.E13 10.22.E13] || [[Item:Q3387|<math>\int_{0}^{\frac{1}{2}\pi}\BesselJ{2\nu}@{2z\cos@@{\theta}}\cos@{2\mu\theta}\diff{\theta} = \tfrac{1}{2}\pi\BesselJ{\nu+\mu}@{z}\BesselJ{\nu-\mu}@{z}</math>]] || <code>int(BesselJ(2*nu, 2*z*cos(theta))*cos(2*mu*theta), theta = 0..(1)/(2)*Pi)=(1)/(2)*Pi*BesselJ(nu + mu, z)*BesselJ(nu - mu, z)</code> || <code>Integrate[BesselJ[2*\[Nu], 2*z*Cos[\[Theta]]]*Cos[2*\[Mu]*\[Theta]], {\[Theta], 0, Divide[1,2]*Pi}]=Divide[1,2]*Pi*BesselJ[\[Nu]+ \[Mu], z]*BesselJ[\[Nu]- \[Mu], z]</code> || Failure || Failure || Skip || Skip  
 
| [https://dlmf.nist.gov/10.22.E13 10.22.E13] || [[Item:Q3387|<math>\int_{0}^{\frac{1}{2}\pi}\BesselJ{2\nu}@{2z\cos@@{\theta}}\cos@{2\mu\theta}\diff{\theta} = \tfrac{1}{2}\pi\BesselJ{\nu+\mu}@{z}\BesselJ{\nu-\mu}@{z}</math>]] || <code>int(BesselJ(2*nu, 2*z*cos(theta))*cos(2*mu*theta), theta = 0..(1)/(2)*Pi)=(1)/(2)*Pi*BesselJ(nu + mu, z)*BesselJ(nu - mu, z)</code> || <code>Integrate[BesselJ[2*\[Nu], 2*z*Cos[\[Theta]]]*Cos[2*\[Mu]*\[Theta]], {\[Theta], 0, Divide[1,2]*Pi}]=Divide[1,2]*Pi*BesselJ[\[Nu]+ \[Mu], z]*BesselJ[\[Nu]- \[Mu], z]</code> || Failure || Failure || Skip || Skip  
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E14 10.22.E14] || [[Item:Q3388|<math>\int_{0}^{\pi}\BesselJ{2\nu}@{2z\sin@@{\theta}}\cos@{2\mu\theta}\diff{\theta} = \pi\cos@{\mu\pi}\BesselJ{\nu+\mu}@{z}\BesselJ{\nu-\mu}@{z}</math>]] || <code>int(BesselJ(2*nu, 2*z*sin(theta))*cos(2*mu*theta), theta = 0..Pi)= Pi*cos(mu*Pi)*BesselJ(nu + mu, z)*BesselJ(nu - mu, z)</code> || <code>Integrate[BesselJ[2*\[Nu], 2*z*Sin[\[Theta]]]*Cos[2*\[Mu]*\[Theta]], {\[Theta], 0, Pi}]= Pi*Cos[\[Mu]*Pi]*BesselJ[\[Nu]+ \[Mu], z]*BesselJ[\[Nu]- \[Mu], z]</code> || Failure || Failure || Skip || Successful
+
| [https://dlmf.nist.gov/10.22.E14 10.22.E14] || [[Item:Q3388|<math>\int_{0}^{\pi}\BesselJ{2\nu}@{2z\sin@@{\theta}}\cos@{2\mu\theta}\diff{\theta} = \pi\cos@{\mu\pi}\BesselJ{\nu+\mu}@{z}\BesselJ{\nu-\mu}@{z}</math>]] || <code>int(BesselJ(2*nu, 2*z*sin(theta))*cos(2*mu*theta), theta = 0..Pi)= Pi*cos(mu*Pi)*BesselJ(nu + mu, z)*BesselJ(nu - mu, z)</code> || <code>Integrate[BesselJ[2*\[Nu], 2*z*Sin[\[Theta]]]*Cos[2*\[Mu]*\[Theta]], {\[Theta], 0, Pi}]= Pi*Cos[\[Mu]*Pi]*BesselJ[\[Nu]+ \[Mu], z]*BesselJ[\[Nu]- \[Mu], z]</code> || Failure || Failure || Skip || Skip
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E15 10.22.E15] || [[Item:Q3389|<math>\int_{0}^{\pi}\BesselJ{2\nu}@{2z\sin@@{\theta}}\sin@{2\mu\theta}\diff{\theta} = \pi\sin@{\mu\pi}\BesselJ{\nu+\mu}@{z}\BesselJ{\nu-\mu}@{z}</math>]] || <code>int(BesselJ(2*nu, 2*z*sin(theta))*sin(2*mu*theta), theta = 0..Pi)= Pi*sin(mu*Pi)*BesselJ(nu + mu, z)*BesselJ(nu - mu, z)</code> || <code>Integrate[BesselJ[2*\[Nu], 2*z*Sin[\[Theta]]]*Sin[2*\[Mu]*\[Theta]], {\[Theta], 0, Pi}]= Pi*Sin[\[Mu]*Pi]*BesselJ[\[Nu]+ \[Mu], z]*BesselJ[\[Nu]- \[Mu], z]</code> || Failure || Failure || Skip || Successful
+
| [https://dlmf.nist.gov/10.22.E15 10.22.E15] || [[Item:Q3389|<math>\int_{0}^{\pi}\BesselJ{2\nu}@{2z\sin@@{\theta}}\sin@{2\mu\theta}\diff{\theta} = \pi\sin@{\mu\pi}\BesselJ{\nu+\mu}@{z}\BesselJ{\nu-\mu}@{z}</math>]] || <code>int(BesselJ(2*nu, 2*z*sin(theta))*sin(2*mu*theta), theta = 0..Pi)= Pi*sin(mu*Pi)*BesselJ(nu + mu, z)*BesselJ(nu - mu, z)</code> || <code>Integrate[BesselJ[2*\[Nu], 2*z*Sin[\[Theta]]]*Sin[2*\[Mu]*\[Theta]], {\[Theta], 0, Pi}]= Pi*Sin[\[Mu]*Pi]*BesselJ[\[Nu]+ \[Mu], z]*BesselJ[\[Nu]- \[Mu], z]</code> || Failure || Failure || Skip || Skip
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.22.E16 10.22.E16] || [[Item:Q3390|<math>\int_{0}^{\frac{1}{2}\pi}\BesselJ{0}@{2z\sin@@{\theta}}\cos@{2n\theta}\diff{\theta} = \tfrac{1}{2}\pi\BesselJ{n}^{2}@{z}</math>]] || <code>int(BesselJ(0, 2*z*sin(theta))*cos(2*n*theta), theta = 0..(1)/(2)*Pi)=(1)/(2)*Pi*(BesselJ(n, z))^(2)</code> || <code>Integrate[BesselJ[0, 2*z*Sin[\[Theta]]]*Cos[2*n*\[Theta]], {\[Theta], 0, Divide[1,2]*Pi}]=Divide[1,2]*Pi*(BesselJ[n, z])^(2)</code> || Failure || Failure || Skip || Successful  
 
| [https://dlmf.nist.gov/10.22.E16 10.22.E16] || [[Item:Q3390|<math>\int_{0}^{\frac{1}{2}\pi}\BesselJ{0}@{2z\sin@@{\theta}}\cos@{2n\theta}\diff{\theta} = \tfrac{1}{2}\pi\BesselJ{n}^{2}@{z}</math>]] || <code>int(BesselJ(0, 2*z*sin(theta))*cos(2*n*theta), theta = 0..(1)/(2)*Pi)=(1)/(2)*Pi*(BesselJ(n, z))^(2)</code> || <code>Integrate[BesselJ[0, 2*z*Sin[\[Theta]]]*Cos[2*n*\[Theta]], {\[Theta], 0, Divide[1,2]*Pi}]=Divide[1,2]*Pi*(BesselJ[n, z])^(2)</code> || Failure || Failure || Skip || Successful  
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E17 10.22.E17] || [[Item:Q3391|<math>\int_{0}^{\frac{1}{2}\pi}\BesselY{2\nu}@{2z\cos@@{\theta}}\cos@{2\mu\theta}\diff{\theta} = \tfrac{1}{2}\pi\cot@{2\nu\pi}\BesselJ{\nu+\mu}@{z}\BesselJ{\nu-\mu}@{z}-\tfrac{1}{2}\pi\csc@{2\nu\pi}\BesselJ{\mu-\nu}@{z}\BesselJ{-\mu-\nu}@{z}</math>]] || <code>int(BesselY(2*nu, 2*z*cos(theta))*cos(2*mu*theta), theta = 0..(1)/(2)*Pi)=(1)/(2)*Pi*cot(2*nu*Pi)*BesselJ(nu + mu, z)*BesselJ(nu - mu, z)-(1)/(2)*Pi*csc(2*nu*Pi)*BesselJ(mu - nu, z)*BesselJ(- mu - nu, z)</code> || <code>Integrate[BesselY[2*\[Nu], 2*z*Cos[\[Theta]]]*Cos[2*\[Mu]*\[Theta]], {\[Theta], 0, Divide[1,2]*Pi}]=Divide[1,2]*Pi*Cot[2*\[Nu]*Pi]*BesselJ[\[Nu]+ \[Mu], z]*BesselJ[\[Nu]- \[Mu], z]-Divide[1,2]*Pi*Csc[2*\[Nu]*Pi]*BesselJ[\[Mu]- \[Nu], z]*BesselJ[- \[Mu]- \[Nu], z]</code> || Failure || Failure || Skip || Skip
+
| [https://dlmf.nist.gov/10.22.E17 10.22.E17] || [[Item:Q3391|<math>\int_{0}^{\frac{1}{2}\pi}\BesselY{2\nu}@{2z\cos@@{\theta}}\cos@{2\mu\theta}\diff{\theta} = \tfrac{1}{2}\pi\cot@{2\nu\pi}\BesselJ{\nu+\mu}@{z}\BesselJ{\nu-\mu}@{z}-\tfrac{1}{2}\pi\csc@{2\nu\pi}\BesselJ{\mu-\nu}@{z}\BesselJ{-\mu-\nu}@{z}</math>]] || <code>int(BesselY(2*nu, 2*z*cos(theta))*cos(2*mu*theta), theta = 0..(1)/(2)*Pi)=(1)/(2)*Pi*cot(2*nu*Pi)*BesselJ(nu + mu, z)*BesselJ(nu - mu, z)-(1)/(2)*Pi*csc(2*nu*Pi)*BesselJ(mu - nu, z)*BesselJ(- mu - nu, z)</code> || <code>Integrate[BesselY[2*\[Nu], 2*z*Cos[\[Theta]]]*Cos[2*\[Mu]*\[Theta]], {\[Theta], 0, Divide[1,2]*Pi}]=Divide[1,2]*Pi*Cot[2*\[Nu]*Pi]*BesselJ[\[Nu]+ \[Mu], z]*BesselJ[\[Nu]- \[Mu], z]-Divide[1,2]*Pi*Csc[2*\[Nu]*Pi]*BesselJ[\[Mu]- \[Nu], z]*BesselJ[- \[Mu]- \[Nu], z]</code> || Failure || Failure || Skip || Successful
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E18 10.22.E18] || [[Item:Q3392|<math>\int_{0}^{\frac{1}{2}\pi}\BesselY{0}@{2z\sin@@{\theta}}\cos@{2n\theta}\diff{\theta} = \tfrac{1}{2}\pi\BesselJ{n}@{z}\BesselY{n}@{z}</math>]] || <code>int(BesselY(0, 2*z*sin(theta))*cos(2*n*theta), theta = 0..(1)/(2)*Pi)=(1)/(2)*Pi*BesselJ(n, z)*BesselY(n, z)</code> || <code>Integrate[BesselY[0, 2*z*Sin[\[Theta]]]*Cos[2*n*\[Theta]], {\[Theta], 0, Divide[1,2]*Pi}]=Divide[1,2]*Pi*BesselJ[n, z]*BesselY[n, z]</code> || Failure || Failure || Skip || Skip
+
| [https://dlmf.nist.gov/10.22.E18 10.22.E18] || [[Item:Q3392|<math>\int_{0}^{\frac{1}{2}\pi}\BesselY{0}@{2z\sin@@{\theta}}\cos@{2n\theta}\diff{\theta} = \tfrac{1}{2}\pi\BesselJ{n}@{z}\BesselY{n}@{z}</math>]] || <code>int(BesselY(0, 2*z*sin(theta))*cos(2*n*theta), theta = 0..(1)/(2)*Pi)=(1)/(2)*Pi*BesselJ(n, z)*BesselY(n, z)</code> || <code>Integrate[BesselY[0, 2*z*Sin[\[Theta]]]*Cos[2*n*\[Theta]], {\[Theta], 0, Divide[1,2]*Pi}]=Divide[1,2]*Pi*BesselJ[n, z]*BesselY[n, z]</code> || Failure || Failure || Skip || Successful
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.22.E19 10.22.E19] || [[Item:Q3393|<math>\int_{0}^{\frac{1}{2}\pi}\BesselJ{\mu}@{z\sin@@{\theta}}(\sin@@{\theta})^{\mu+1}(\cos@@{\theta})^{2\nu+1}\diff{\theta} = 2^{\nu}\EulerGamma@{\nu+1}z^{-\nu-1}\BesselJ{\mu+\nu+1}@{z}</math>]] || <code>int(BesselJ(mu, z*sin(theta))*(sin(theta))^(mu + 1)*(cos(theta))^(2*nu + 1), theta = 0..(1)/(2)*Pi)= (2)^(nu)* GAMMA(nu + 1)*(z)^(- nu - 1)* BesselJ(mu + nu + 1, z)</code> || <code>Integrate[BesselJ[\[Mu], z*Sin[\[Theta]]]*(Sin[\[Theta]])^(\[Mu]+ 1)*(Cos[\[Theta]])^(2*\[Nu]+ 1), {\[Theta], 0, Divide[1,2]*Pi}]= (2)^(\[Nu])* Gamma[\[Nu]+ 1]*(z)^(- \[Nu]- 1)* BesselJ[\[Mu]+ \[Nu]+ 1, z]</code> || Successful || Failure || - || Error  
 
| [https://dlmf.nist.gov/10.22.E19 10.22.E19] || [[Item:Q3393|<math>\int_{0}^{\frac{1}{2}\pi}\BesselJ{\mu}@{z\sin@@{\theta}}(\sin@@{\theta})^{\mu+1}(\cos@@{\theta})^{2\nu+1}\diff{\theta} = 2^{\nu}\EulerGamma@{\nu+1}z^{-\nu-1}\BesselJ{\mu+\nu+1}@{z}</math>]] || <code>int(BesselJ(mu, z*sin(theta))*(sin(theta))^(mu + 1)*(cos(theta))^(2*nu + 1), theta = 0..(1)/(2)*Pi)= (2)^(nu)* GAMMA(nu + 1)*(z)^(- nu - 1)* BesselJ(mu + nu + 1, z)</code> || <code>Integrate[BesselJ[\[Mu], z*Sin[\[Theta]]]*(Sin[\[Theta]])^(\[Mu]+ 1)*(Cos[\[Theta]])^(2*\[Nu]+ 1), {\[Theta], 0, Divide[1,2]*Pi}]= (2)^(\[Nu])* Gamma[\[Nu]+ 1]*(z)^(- \[Nu]- 1)* BesselJ[\[Mu]+ \[Nu]+ 1, z]</code> || Successful || Failure || - || Error  
Line 307: Line 307:
 
| [https://dlmf.nist.gov/10.22.E25 10.22.E25] || [[Item:Q3399|<math>\int_{0}^{\frac{1}{2}\pi}\BesselJ{\mu}@{z\sin@@{\theta}}\modBesselI{\nu}@{z\cos@@{\theta}}(\tan@@{\theta})^{\mu+1}\diff{\theta} = \frac{\EulerGamma@{\tfrac{1}{2}\nu-\tfrac{1}{2}\mu}(\tfrac{1}{2}z)^{\mu}}{2\!\EulerGamma@{\tfrac{1}{2}\nu+\tfrac{1}{2}\mu+1}}\BesselJ{\nu}@{z}</math>]] || <code>int(BesselJ(mu, z*sin(theta))*BesselI(nu, z*cos(theta))*(tan(theta))^(mu + 1), theta = 0..(1)/(2)*Pi)=(GAMMA((1)/(2)*nu -(1)/(2)*mu)*((1)/(2)*z)^(mu))/(2*GAMMA((1)/(2)*nu +(1)/(2)*mu + 1))*BesselJ(nu, z)</code> || <code>Integrate[BesselJ[\[Mu], z*Sin[\[Theta]]]*BesselI[\[Nu], z*Cos[\[Theta]]]*(Tan[\[Theta]])^(\[Mu]+ 1), {\[Theta], 0, Divide[1,2]*Pi}]=Divide[Gamma[Divide[1,2]*\[Nu]-Divide[1,2]*\[Mu]]*(Divide[1,2]*z)^(\[Mu]),2*Gamma[Divide[1,2]*\[Nu]+Divide[1,2]*\[Mu]+ 1]]*BesselJ[\[Nu], z]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.22.E25 10.22.E25] || [[Item:Q3399|<math>\int_{0}^{\frac{1}{2}\pi}\BesselJ{\mu}@{z\sin@@{\theta}}\modBesselI{\nu}@{z\cos@@{\theta}}(\tan@@{\theta})^{\mu+1}\diff{\theta} = \frac{\EulerGamma@{\tfrac{1}{2}\nu-\tfrac{1}{2}\mu}(\tfrac{1}{2}z)^{\mu}}{2\!\EulerGamma@{\tfrac{1}{2}\nu+\tfrac{1}{2}\mu+1}}\BesselJ{\nu}@{z}</math>]] || <code>int(BesselJ(mu, z*sin(theta))*BesselI(nu, z*cos(theta))*(tan(theta))^(mu + 1), theta = 0..(1)/(2)*Pi)=(GAMMA((1)/(2)*nu -(1)/(2)*mu)*((1)/(2)*z)^(mu))/(2*GAMMA((1)/(2)*nu +(1)/(2)*mu + 1))*BesselJ(nu, z)</code> || <code>Integrate[BesselJ[\[Mu], z*Sin[\[Theta]]]*BesselI[\[Nu], z*Cos[\[Theta]]]*(Tan[\[Theta]])^(\[Mu]+ 1), {\[Theta], 0, Divide[1,2]*Pi}]=Divide[Gamma[Divide[1,2]*\[Nu]-Divide[1,2]*\[Mu]]*(Divide[1,2]*z)^(\[Mu]),2*Gamma[Divide[1,2]*\[Nu]+Divide[1,2]*\[Mu]+ 1]]*BesselJ[\[Nu], z]</code> || Failure || Failure || Skip || Error  
 
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| [https://dlmf.nist.gov/10.22.E27 10.22.E27] || [[Item:Q3401|<math>\int_{0}^{x}t\BesselJ{\nu-1}^{2}@{t}\diff{t} = 2\sum_{k=0}^{\infty}(\nu+2k)\BesselJ{\nu+2k}^{2}@{x}</math>]] || <code>int(t*(BesselJ(nu - 1, t))^(2), t = 0..x)= 2*sum((nu + 2*k)* (BesselJ(nu + 2*k, x))^(2), k = 0..infinity)</code> || <code>Integrate[t*(BesselJ[\[Nu]- 1, t])^(2), {t, 0, x}]= 2*Sum[(\[Nu]+ 2*k)* (BesselJ[\[Nu]+ 2*k, x])^(2), {k, 0, Infinity}]</code> || Failure || Failure || Skip || Error
+
| [https://dlmf.nist.gov/10.22.E27 10.22.E27] || [[Item:Q3401|<math>\int_{0}^{x}t\BesselJ{\nu-1}^{2}@{t}\diff{t} = 2\sum_{k=0}^{\infty}(\nu+2k)\BesselJ{\nu+2k}^{2}@{x}</math>]] || <code>int(t*(BesselJ(nu - 1, t))^(2), t = 0..x)= 2*sum((nu + 2*k)* (BesselJ(nu + 2*k, x))^(2), k = 0..infinity)</code> || <code>Integrate[t*(BesselJ[\[Nu]- 1, t])^(2), {t, 0, x}]= 2*Sum[(\[Nu]+ 2*k)* (BesselJ[\[Nu]+ 2*k, x])^(2), {k, 0, Infinity}]</code> || Failure || Failure || Skip || Successful
 
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| [https://dlmf.nist.gov/10.22.E28 10.22.E28] || [[Item:Q3402|<math>\int_{0}^{x}t\left(\BesselJ{\nu-1}^{2}@{t}-\BesselJ{\nu+1}^{2}@{t}\right)\diff{t} = 2\nu\BesselJ{\nu}^{2}@{x}</math>]] || <code>int(t*((BesselJ(nu - 1, t))^(2)- (BesselJ(nu + 1, t))^(2)), t = 0..x)= 2*nu*(BesselJ(nu, x))^(2)</code> || <code>Integrate[t*((BesselJ[\[Nu]- 1, t])^(2)- (BesselJ[\[Nu]+ 1, t])^(2)), {t, 0, x}]= 2*\[Nu]*(BesselJ[\[Nu], x])^(2)</code> || Successful || Failure || - || Error
+
| [https://dlmf.nist.gov/10.22.E28 10.22.E28] || [[Item:Q3402|<math>\int_{0}^{x}t\left(\BesselJ{\nu-1}^{2}@{t}-\BesselJ{\nu+1}^{2}@{t}\right)\diff{t} = 2\nu\BesselJ{\nu}^{2}@{x}</math>]] || <code>int(t*((BesselJ(nu - 1, t))^(2)- (BesselJ(nu + 1, t))^(2)), t = 0..x)= 2*nu*(BesselJ(nu, x))^(2)</code> || <code>Integrate[t*((BesselJ[\[Nu]- 1, t])^(2)- (BesselJ[\[Nu]+ 1, t])^(2)), {t, 0, x}]= 2*\[Nu]*(BesselJ[\[Nu], x])^(2)</code> || Successful || Failure || - || Skip
 
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| [https://dlmf.nist.gov/10.22.E29 10.22.E29] || [[Item:Q3403|<math>\int_{0}^{x}t\BesselJ{0}^{2}@{t}\diff{t} = \tfrac{1}{2}x^{2}\left(\BesselJ{0}^{2}@{x}+\BesselJ{1}^{2}@{x}\right)</math>]] || <code>int(t*(BesselJ(0, t))^(2), t = 0..x)=(1)/(2)*(x)^(2)*((BesselJ(0, x))^(2)+ (BesselJ(1, x))^(2))</code> || <code>Integrate[t*(BesselJ[0, t])^(2), {t, 0, x}]=Divide[1,2]*(x)^(2)*((BesselJ[0, x])^(2)+ (BesselJ[1, x])^(2))</code> || Successful || Successful || - || -  
 
| [https://dlmf.nist.gov/10.22.E29 10.22.E29] || [[Item:Q3403|<math>\int_{0}^{x}t\BesselJ{0}^{2}@{t}\diff{t} = \tfrac{1}{2}x^{2}\left(\BesselJ{0}^{2}@{x}+\BesselJ{1}^{2}@{x}\right)</math>]] || <code>int(t*(BesselJ(0, t))^(2), t = 0..x)=(1)/(2)*(x)^(2)*((BesselJ(0, x))^(2)+ (BesselJ(1, x))^(2))</code> || <code>Integrate[t*(BesselJ[0, t])^(2), {t, 0, x}]=Divide[1,2]*(x)^(2)*((BesselJ[0, x])^(2)+ (BesselJ[1, x])^(2))</code> || Successful || Successful || - || -  
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E30 10.22.E30] || [[Item:Q3404|<math>\int_{0}^{x}\BesselJ{n}@{t}\BesselJ{n+1}@{t}\diff{t} = \tfrac{1}{2}\left(1-\BesselJ{0}^{2}@{x}\right)-\sum_{k=1}^{n}\BesselJ{k}^{2}@{x}</math>]] || <code>int(BesselJ(n, t)*BesselJ(n + 1, t), t = 0..x)=(1)/(2)*(1 - (BesselJ(0, x))^(2))- sum((BesselJ(k, x))^(2), k = 1..n)</code> || <code>Integrate[BesselJ[n, t]*BesselJ[n + 1, t], {t, 0, x}]=Divide[1,2]*(1 - (BesselJ[0, x])^(2))- Sum[(BesselJ[k, x])^(2), {k, 1, n}]</code> || Failure || Failure || Skip || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[1.4142135623730951, 1.4142135623730951] <- {Rule[n, 3], Rule[ConditionalExpression[Plus[Times[-1, Power[BesselJ[0, x], 2]], Times[Rational[1, 2], Plus[-1, Power[BesselJ[0, x], 2]]], Times[Power[4, Plus[-1, Times[-1, n]]], Power[x, Plus[2, Times[2, n]]], Gamma[Plus[2, Times[2, n]]], HypergeometricPFQRegularized[{Plus[1, n], Plus[Rational[3, 2], n]}, {Plus[2, n], Plus[2, n], Plus[2, Times[2, n]]}, Times[-1, Power[x, 2]]]], DifferenceRoot[Function[{, }, {Equal[Plus[Times[Plus[2, ], Power[x, 2], []], Times[Plus[-8, Times[-20, ], Times[-16, Power[, 2]], Times[-4, Power[, 3]], Times[-1, Power[x, 2]]], [Plus[1, ]]], Times[Plus[3, Times[2, ]], Plus[8, Times[12, ], Times[4, Power[, 2]], Times[-1, Power[x, 2]]], [Plus[2, ]]], Times[Plus[-16, Times[-32, ], Times[-20, Power[, 2]], Times[-4, Power[, 3]], Power[x, 2]], [Plus[3, ]]], Times[Plus[1, ], Power[x, 2], [Plus[4, ]]]], 0], Equal[[0], 0], Equal[[1], Power[BesselJ[0, x], 2]], Equal[[2], Plus[Power[BesselJ[0, x], 2], Power[BesselJ[1, x], 2]]], Equal[[3], Plus[Power[BesselJ[0, x], 2], Power[BesselJ[1, x], 2], Times[Power[x, -2], Power[Plus[Times[-1, x, BesselJ[0, x]], Times[2, BesselJ[1, x]]], 2]]]]}]][Plus[1, n]]], Greater[Re[n], -1]], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.4142135623730951, -1.4142135623730951] <- {Rule[n, 3], Rule[ConditionalExpression[Plus[Times[-1, Power[BesselJ[0, x], 2]], Times[Rational[1, 2], Plus[-1, Power[BesselJ[0, x], 2]]], Times[Power[4, Plus[-1, Times[-1, n]]], Power[x, Plus[2, Times[2, n]]], Gamma[Plus[2, Times[2, n]]], HypergeometricPFQRegularized[{Plus[1, n], Plus[Rational[3, 2], n]}, {Plus[2, n], Plus[2, n], Plus[2, Times[2, n]]}, Times[-1, Power[x, 2]]]], DifferenceRoot[Function[{, }, {Equal[Plus[Times[Plus[2, ], Power[x, 2], []], Times[Plus[-8, Times[-20, ], Times[-16, Power[, 2]], Times[-4, Power[, 3]], Times[-1, Power[x, 2]]], [Plus[1, ]]], Times[Plus[3, Times[2, ]], Plus[8, Times[12, ], Times[4, Power[, 2]], Times[-1, Power[x, 2]]], [Plus[2, ]]], Times[Plus[-16, Times[-32, ], Times[-20, Power[, 2]], Times[-4, Power[, 3]], Power[x, 2]], [Plus[3, ]]], Times[Plus[1, ], Power[x, 2], [Plus[4, ]]]], 0], Equal[[0], 0], Equal[[1], Power[BesselJ[0, x], 2]], Equal[[2], Plus[Power[BesselJ[0, x], 2], Power[BesselJ[1, x], 2]]], Equal[[3], Plus[Power[BesselJ[0, x], 2], Power[BesselJ[1, x], 2], Times[Power[x, -2], Power[Plus[Times[-1, x, BesselJ[0, x]], Times[2, BesselJ[1, x]]], 2]]]]}]][Plus[1, n]]], Greater[Re[n], -1]], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, -1.4142135623730951] <- {Rule[n, 3], Rule[ConditionalExpression[Plus[Times[-1, Power[BesselJ[0, x], 2]], Times[Rational[1, 2], Plus[-1, Power[BesselJ[0, x], 2]]], Times[Power[4, Plus[-1, Times[-1, n]]], Power[x, Plus[2, Times[2, n]]], Gamma[Plus[2, Times[2, n]]], HypergeometricPFQRegularized[{Plus[1, n], Plus[Rational[3, 2], n]}, {Plus[2, n], Plus[2, n], Plus[2, Times[2, n]]}, Times[-1, Power[x, 2]]]], DifferenceRoot[Function[{, }, {Equal[Plus[Times[Plus[2, ], Power[x, 2], []], Times[Plus[-8, Times[-20, ], Times[-16, Power[, 2]], Times[-4, Power[, 3]], Times[-1, Power[x, 2]]], [Plus[1, ]]], Times[Plus[3, Times[2, ]], Plus[8, Times[12, ], Times[4, Power[, 2]], Times[-1, Power[x, 2]]], [Plus[2, ]]], Times[Plus[-16, Times[-32, ], Times[-20, Power[, 2]], Times[-4, Power[, 3]], Power[x, 2]], [Plus[3, ]]], Times[Plus[1, ], Power[x, 2], [Plus[4, ]]]], 0], Equal[[0], 0], Equal[[1], Power[BesselJ[0, x], 2]], Equal[[2], Plus[Power[BesselJ[0, x], 2], Power[BesselJ[1, x], 2]]], Equal[[3], Plus[Power[BesselJ[0, x], 2], Power[BesselJ[1, x], 2], Times[Power[x, -2], Power[Plus[Times[-1, x, BesselJ[0, x]], Times[2, BesselJ[1, x]]], 2]]]]}]][Plus[1, n]]], Greater[Re[n], -1]], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, 1.4142135623730951] <- {Rule[n, 3], Rule[ConditionalExpression[Plus[Times[-1, Power[BesselJ[0, x], 2]], Times[Rational[1, 2], Plus[-1, Power[BesselJ[0, x], 2]]], Times[Power[4, Plus[-1, Times[-1, n]]], Power[x, Plus[2, Times[2, n]]], Gamma[Plus[2, Times[2, n]]], HypergeometricPFQRegularized[{Plus[1, n], Plus[Rational[3, 2], n]}, {Plus[2, n], Plus[2, n], Plus[2, Times[2, n]]}, Times[-1, Power[x, 2]]]], DifferenceRoot[Function[{, }, {Equal[Plus[Times[Plus[2, ], Power[x, 2], []], Times[Plus[-8, Times[-20, ], Times[-16, Power[, 2]], Times[-4, Power[, 3]], Times[-1, Power[x, 2]]], [Plus[1, ]]], Times[Plus[3, Times[2, ]], Plus[8, Times[12, ], Times[4, Power[, 2]], Times[-1, Power[x, 2]]], [Plus[2, ]]], Times[Plus[-16, Times[-32, ], Times[-20, Power[, 2]], Times[-4, Power[, 3]], Power[x, 2]], [Plus[3, ]]], Times[Plus[1, ], Power[x, 2], [Plus[4, ]]]], 0], Equal[[0], 0], Equal[[1], Power[BesselJ[0, x], 2]], Equal[[2], Plus[Power[BesselJ[0, x], 2], Power[BesselJ[1, x], 2]]], Equal[[3], Plus[Power[BesselJ[0, x], 2], Power[BesselJ[1, x], 2], Times[Power[x, -2], Power[Plus[Times[-1, x, BesselJ[0, x]], Times[2, BesselJ[1, x]]], 2]]]]}]][Plus[1, n]]], Greater[Re[n], -1]], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>
+
| [https://dlmf.nist.gov/10.22.E30 10.22.E30] || [[Item:Q3404|<math>\int_{0}^{x}\BesselJ{n}@{t}\BesselJ{n+1}@{t}\diff{t} = \tfrac{1}{2}\left(1-\BesselJ{0}^{2}@{x}\right)-\sum_{k=1}^{n}\BesselJ{k}^{2}@{x}</math>]] || <code>int(BesselJ(n, t)*BesselJ(n + 1, t), t = 0..x)=(1)/(2)*(1 - (BesselJ(0, x))^(2))- sum((BesselJ(k, x))^(2), k = 1..n)</code> || <code>Integrate[BesselJ[n, t]*BesselJ[n + 1, t], {t, 0, x}]=Divide[1,2]*(1 - (BesselJ[0, x])^(2))- Sum[(BesselJ[k, x])^(2), {k, 1, n}]</code> || Failure || Failure || Skip || Successful
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E30 10.22.E30] || [[Item:Q3404|<math>\tfrac{1}{2}\left(1-\BesselJ{0}^{2}@{x}\right)-\sum_{k=1}^{n}\BesselJ{k}^{2}@{x} = \sum_{k=n+1}^{\infty}\BesselJ{k}^{2}@{x}</math>]] || <code>(1)/(2)*(1 - (BesselJ(0, x))^(2))- sum((BesselJ(k, x))^(2), k = 1..n)= sum((BesselJ(k, x))^(2), k = n + 1..infinity)</code> || <code>Divide[1,2]*(1 - (BesselJ[0, x])^(2))- Sum[(BesselJ[k, x])^(2), {k, 1, n}]= Sum[(BesselJ[k, x])^(2), {k, n + 1, Infinity}]</code> || Failure || Failure || Skip || Skip
+
| [https://dlmf.nist.gov/10.22.E30 10.22.E30] || [[Item:Q3404|<math>\tfrac{1}{2}\left(1-\BesselJ{0}^{2}@{x}\right)-\sum_{k=1}^{n}\BesselJ{k}^{2}@{x} = \sum_{k=n+1}^{\infty}\BesselJ{k}^{2}@{x}</math>]] || <code>(1)/(2)*(1 - (BesselJ(0, x))^(2))- sum((BesselJ(k, x))^(2), k = 1..n)= sum((BesselJ(k, x))^(2), k = n + 1..infinity)</code> || <code>Divide[1,2]*(1 - (BesselJ[0, x])^(2))- Sum[(BesselJ[k, x])^(2), {k, 1, n}]= Sum[(BesselJ[k, x])^(2), {k, n + 1, Infinity}]</code> || Failure || Failure || Skip || Successful
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E31 10.22.E31] || [[Item:Q3405|<math>\int_{0}^{x}\BesselJ{\mu}@{t}\BesselJ{\nu}@{x-t}\diff{t} = 2\sum_{k=0}^{\infty}(-1)^{k}\BesselJ{\mu+\nu+2k+1}@{x}</math>]] || <code>int(BesselJ(mu, t)*BesselJ(nu, x - t), t = 0..x)= 2*sum((- 1)^(k)* BesselJ(mu + nu + 2*k + 1, x), k = 0..infinity)</code> || <code>Integrate[BesselJ[\[Mu], t]*BesselJ[\[Nu], x - t], {t, 0, x}]= 2*Sum[(- 1)^(k)* BesselJ[\[Mu]+ \[Nu]+ 2*k + 1, x], {k, 0, Infinity}]</code> || Failure || Failure || Skip || Skip
+
| [https://dlmf.nist.gov/10.22.E31 10.22.E31] || [[Item:Q3405|<math>\int_{0}^{x}\BesselJ{\mu}@{t}\BesselJ{\nu}@{x-t}\diff{t} = 2\sum_{k=0}^{\infty}(-1)^{k}\BesselJ{\mu+\nu+2k+1}@{x}</math>]] || <code>int(BesselJ(mu, t)*BesselJ(nu, x - t), t = 0..x)= 2*sum((- 1)^(k)* BesselJ(mu + nu + 2*k + 1, x), k = 0..infinity)</code> || <code>Integrate[BesselJ[\[Mu], t]*BesselJ[\[Nu], x - t], {t, 0, x}]= 2*Sum[(- 1)^(k)* BesselJ[\[Mu]+ \[Nu]+ 2*k + 1, x], {k, 0, Infinity}]</code> || Failure || Failure || Skip || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-1.4142135623730951, -1.4142135623730951] <- {Rule[μ, Rational[-1, 2]], Rule[ν, Rational[-1, 2]], Rule[Integrate[Times[BesselJ[μ, t], BesselJ[ν, Plus[Times[-1, t], x]]], {t, 0, x}], Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[Sum[Times[Power[-1, k], BesselJ[Plus[1, Times[2, k], μ, ν], x]], {k, 0, DirectedInfinity[1]}], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, 4.242640687119286] <- {Rule[μ, Rational[-1, 2]], Rule[ν, Rational[-1, 2]], Rule[Integrate[Times[BesselJ[μ, t], BesselJ[ν, Plus[Times[-1, t], x]]], {t, 0, x}], Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[Sum[Times[Power[-1, k], BesselJ[Plus[1, Times[2, k], μ, ν], x]], {k, 0, DirectedInfinity[1]}], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[4.242640687119286, 4.242640687119286] <- {Rule[μ, Rational[-1, 2]], Rule[ν, Rational[-1, 2]], Rule[Integrate[Times[BesselJ[μ, t], BesselJ[ν, Plus[Times[-1, t], x]]], {t, 0, x}], Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[Sum[Times[Power[-1, k], BesselJ[Plus[1, Times[2, k], μ, ν], x]], {k, 0, DirectedInfinity[1]}], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[4.242640687119286, -1.4142135623730951] <- {Rule[μ, Rational[-1, 2]], Rule[ν, Rational[-1, 2]], Rule[Integrate[Times[BesselJ[μ, t], BesselJ[ν, Plus[Times[-1, t], x]]], {t, 0, x}], Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[Sum[Times[Power[-1, k], BesselJ[Plus[1, Times[2, k], μ, ν], x]], {k, 0, DirectedInfinity[1]}], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E32 10.22.E32] || [[Item:Q3406|<math>\int_{0}^{x}\BesselJ{\nu}@{t}\BesselJ{1-\nu}@{x-t}\diff{t} = \BesselJ{0}@{x}-\cos@@{x}</math>]] || <code>int(BesselJ(nu, t)*BesselJ(1 - nu, x - t), t = 0..x)= BesselJ(0, x)- cos(x)</code> || <code>Integrate[BesselJ[\[Nu], t]*BesselJ[1 - \[Nu], x - t], {t, 0, x}]= BesselJ[0, x]- Cos[x]</code> || Failure || Failure || Skip || Skip
+
| [https://dlmf.nist.gov/10.22.E32 10.22.E32] || [[Item:Q3406|<math>\int_{0}^{x}\BesselJ{\nu}@{t}\BesselJ{1-\nu}@{x-t}\diff{t} = \BesselJ{0}@{x}-\cos@@{x}</math>]] || <code>int(BesselJ(nu, t)*BesselJ(1 - nu, x - t), t = 0..x)= BesselJ(0, x)- cos(x)</code> || <code>Integrate[BesselJ[\[Nu], t]*BesselJ[1 - \[Nu], x - t], {t, 0, x}]= BesselJ[0, x]- Cos[x]</code> || Failure || Failure || Skip || Successful
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E33 10.22.E33] || [[Item:Q3407|<math>\int_{0}^{x}\BesselJ{\nu}@{t}\BesselJ{-\nu}@{x-t}\diff{t} = \sin@@{x}</math>]] || <code>int(BesselJ(nu, t)*BesselJ(- nu, x - t), t = 0..x)= sin(x)</code> || <code>Integrate[BesselJ[\[Nu], t]*BesselJ[- \[Nu], x - t], {t, 0, x}]= Sin[x]</code> || Failure || Failure || Skip || Successful
+
| [https://dlmf.nist.gov/10.22.E33 10.22.E33] || [[Item:Q3407|<math>\int_{0}^{x}\BesselJ{\nu}@{t}\BesselJ{-\nu}@{x-t}\diff{t} = \sin@@{x}</math>]] || <code>int(BesselJ(nu, t)*BesselJ(- nu, x - t), t = 0..x)= sin(x)</code> || <code>Integrate[BesselJ[\[Nu], t]*BesselJ[- \[Nu], x - t], {t, 0, x}]= Sin[x]</code> || Failure || Failure || Skip || Error
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.22.E34 10.22.E34] || [[Item:Q3408|<math>\int_{0}^{x}t^{-1}\BesselJ{\mu}@{t}\BesselJ{\nu}@{x-t}\diff{t} = \frac{\BesselJ{\mu+\nu}@{x}}{\mu}</math>]] || <code>int((t)^(- 1)* BesselJ(mu, t)*BesselJ(nu, x - t), t = 0..x)=(BesselJ(mu + nu, x))/(mu)</code> || <code>Integrate[(t)^(- 1)* BesselJ[\[Mu], t]*BesselJ[\[Nu], x - t], {t, 0, x}]=Divide[BesselJ[\[Mu]+ \[Nu], x],\[Mu]]</code> || Failure || Failure || - || -  
 
| [https://dlmf.nist.gov/10.22.E34 10.22.E34] || [[Item:Q3408|<math>\int_{0}^{x}t^{-1}\BesselJ{\mu}@{t}\BesselJ{\nu}@{x-t}\diff{t} = \frac{\BesselJ{\mu+\nu}@{x}}{\mu}</math>]] || <code>int((t)^(- 1)* BesselJ(mu, t)*BesselJ(nu, x - t), t = 0..x)=(BesselJ(mu + nu, x))/(mu)</code> || <code>Integrate[(t)^(- 1)* BesselJ[\[Mu], t]*BesselJ[\[Nu], x - t], {t, 0, x}]=Divide[BesselJ[\[Mu]+ \[Nu], x],\[Mu]]</code> || Failure || Failure || - || -  
Line 327: Line 327:
 
| [https://dlmf.nist.gov/10.22.E35 10.22.E35] || [[Item:Q3409|<math>\int_{0}^{x}\frac{\BesselJ{\mu}@{t}\BesselJ{\nu}@{x-t}\diff{t}}{t(x-t)} = \frac{(\mu+\nu)\BesselJ{\mu+\nu}@{x}}{\mu\nu x}</math>]] || <code>int((BesselJ(mu, t)*BesselJ(nu, x - t))/(t*(x - t)), t = 0..x)=((mu + nu)* BesselJ(mu + nu, x))/(mu*nu*x)</code> || <code>Integrate[Divide[BesselJ[\[Mu], t]*BesselJ[\[Nu], x - t],t*(x - t)], {t, 0, x}]=Divide[(\[Mu]+ \[Nu])* BesselJ[\[Mu]+ \[Nu], x],\[Mu]*\[Nu]*x]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.22.E35 10.22.E35] || [[Item:Q3409|<math>\int_{0}^{x}\frac{\BesselJ{\mu}@{t}\BesselJ{\nu}@{x-t}\diff{t}}{t(x-t)} = \frac{(\mu+\nu)\BesselJ{\mu+\nu}@{x}}{\mu\nu x}</math>]] || <code>int((BesselJ(mu, t)*BesselJ(nu, x - t))/(t*(x - t)), t = 0..x)=((mu + nu)* BesselJ(mu + nu, x))/(mu*nu*x)</code> || <code>Integrate[Divide[BesselJ[\[Mu], t]*BesselJ[\[Nu], x - t],t*(x - t)], {t, 0, x}]=Divide[(\[Mu]+ \[Nu])* BesselJ[\[Mu]+ \[Nu], x],\[Mu]*\[Nu]*x]</code> || Failure || Failure || Skip || Error  
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E36 10.22.E36] || [[Item:Q3410|<math>\frac{1}{\EulerGamma@{\alpha}}\int_{0}^{x}(x-t)^{\alpha-1}\BesselJ{\nu}@{t}\diff{t} = 2^{\alpha}\sum_{k=0}^{\infty}\frac{(\alpha)_{k}}{k!}\BesselJ{\nu+\alpha+2k}@{x}</math>]] || <code>(1)/(GAMMA(alpha))*int((x - t)^(alpha - 1)* BesselJ(nu, t), t = 0..x)= (2)^(alpha)* sum((alpha[k])/(factorial(k))*BesselJ(nu + alpha + 2*k, x), k = 0..infinity)</code> || <code>Divide[1,Gamma[\[Alpha]]]*Integrate[(x - t)^(\[Alpha]- 1)* BesselJ[\[Nu], t], {t, 0, x}]= (2)^(\[Alpha])* Sum[Divide[Subscript[\[Alpha], k],(k)!]*BesselJ[\[Nu]+ \[Alpha]+ 2*k, x], {k, 0, Infinity}]</code> || Failure || Failure || Skip || Skip
+
| [https://dlmf.nist.gov/10.22.E36 10.22.E36] || [[Item:Q3410|<math>\frac{1}{\EulerGamma@{\alpha}}\int_{0}^{x}(x-t)^{\alpha-1}\BesselJ{\nu}@{t}\diff{t} = 2^{\alpha}\sum_{k=0}^{\infty}\frac{(\alpha)_{k}}{k!}\BesselJ{\nu+\alpha+2k}@{x}</math>]] || <code>(1)/(GAMMA(alpha))*int((x - t)^(alpha - 1)* BesselJ(nu, t), t = 0..x)= (2)^(alpha)* sum((alpha[k])/(factorial(k))*BesselJ(nu + alpha + 2*k, x), k = 0..infinity)</code> || <code>Divide[1,Gamma[\[Alpha]]]*Integrate[(x - t)^(\[Alpha]- 1)* BesselJ[\[Nu], t], {t, 0, x}]= (2)^(\[Alpha])* Sum[Divide[Subscript[\[Alpha], k],(k)!]*BesselJ[\[Nu]+ \[Alpha]+ 2*k, x], {k, 0, Infinity}]</code> || Failure || Failure || Skip || Successful
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E37 10.22.E37] || [[Item:Q3411|<math>\int_{0}^{1}t\BesselJ{\nu}@{j_{\nu,\ell}t}\BesselJ{\nu}@{j_{\nu,m}t}\diff{t} = \tfrac{1}{2}\left(\BesselJ{\nu}'@{j_{\nu,\ell}}\right)^{2}\Kroneckerdelta{\ell}{m}</math>]] || <code>int(t*BesselJ(nu, j[nu , ell]*t)*BesselJ(nu, j[nu , m]*t), t = 0..1)=(1)/(2)*(subs( temp=j[nu , ell], diff( BesselJ(nu, temp), temp$(1) ) ))^(2)* KroneckerDelta[ell, m]</code> || <code>Integrate[t*BesselJ[\[Nu], Subscript[j, \[Nu], \[ScriptL]]*t]*BesselJ[\[Nu], Subscript[j, \[Nu], m]*t], {t, 0, 1}]=Divide[1,2]*(((D[BesselJ[\[Nu], temp], {temp, 1}]/.temp-> Subscript[j, \[Nu], \[ScriptL]])))^(2)* KroneckerDelta[\[ScriptL], m]</code> || Failure || Failure || Skip || Error
+
| [https://dlmf.nist.gov/10.22.E37 10.22.E37] || [[Item:Q3411|<math>\int_{0}^{1}t\BesselJ{\nu}@{j_{\nu,\ell}t}\BesselJ{\nu}@{j_{\nu,m}t}\diff{t} = \tfrac{1}{2}\left(\BesselJ{\nu}'@{j_{\nu,\ell}}\right)^{2}\Kroneckerdelta{\ell}{m}</math>]] || <code>int(t*BesselJ(nu, j[nu , ell]*t)*BesselJ(nu, j[nu , m]*t), t = 0..1)=(1)/(2)*(subs( temp=j[nu , ell], diff( BesselJ(nu, temp), temp$(1) ) ))^(2)* KroneckerDelta[ell, m]</code> || <code>Integrate[t*BesselJ[\[Nu], Subscript[j, \[Nu], \[ScriptL]]*t]*BesselJ[\[Nu], Subscript[j, \[Nu], m]*t], {t, 0, 1}]=Divide[1,2]*(((D[BesselJ[\[Nu], temp], {temp, 1}]/.temp-> Subscript[j, \[Nu], \[ScriptL]])))^(2)* KroneckerDelta[\[ScriptL], m]</code> || Failure || Failure || Skip || Successful
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E38 10.22.E38] || [[Item:Q3412|<math>\int_{0}^{1}t\BesselJ{\nu}@{\alpha_{\ell}t}\BesselJ{\nu}@{\alpha_{m}t}\diff{t} = \left(\frac{a^{2}}{b^{2}}+\alpha_{\ell}^{2}-\nu^{2}\right)\frac{(\BesselJ{\nu}@{\alpha_{\ell}})^{2}}{2\alpha_{\ell}^{2}}\Kroneckerdelta{\ell}{m}</math>]] || <code>int(t*BesselJ(nu, alpha[ell]*t)*BesselJ(nu, alpha[m]*t), t = 0..1)((BesselJ(nu, alpha[ell]))^(2))/(2*alpha(alpha[ell])^(2))*KroneckerDelta[ell, m]</code> || <code>Integrate[t*BesselJ[\[Nu], Subscript[\[Alpha], \[ScriptL]]*t]*BesselJ[\[Nu], Subscript[\[Alpha], m]*t], {t, 0, 1}]Divide[(BesselJ[\[Nu], Subscript[\[Alpha], \[ScriptL]]])^(2),2*\[Alpha](Subscript[\[Alpha], \[ScriptL]])^(2)]*KroneckerDelta[\[ScriptL], m]</code> || Failure || Failure || Skip || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[1.4142135623730951, 1.4142135623730951] <- {Rule[ConditionalExpression[Plus[Times[Rational[-1, 2], Power[α, -1], Power[BesselJ[ν, Subscript[α, ℓ]], 2], KroneckerDelta[m, ℓ], Power[Subscript[α, ℓ], -2]], Times[Plus[Times[-1, BesselJ[Plus[-1, ν], Subscript[α, m]], BesselJ[ν, Subscript[α, ℓ]], Subscript[α, m]], Times[BesselJ[Plus[-1, ν], Subscript[α, ℓ]], BesselJ[ν, Subscript[α, m]], Subscript[α, ℓ]]], Power[Plus[Power[Subscript[α, m], 2], Times[-1, Power[Subscript[α, ℓ], 2]]], -1]]], Greater[Re[ν], -1]], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.4142135623730951, -1.4142135623730951] <- {Rule[ConditionalExpression[Plus[Times[Rational[-1, 2], Power[α, -1], Power[BesselJ[ν, Subscript[α, ℓ]], 2], KroneckerDelta[m, ℓ], Power[Subscript[α, ℓ], -2]], Times[Plus[Times[-1, BesselJ[Plus[-1, ν], Subscript[α, m]], BesselJ[ν, Subscript[α, ℓ]], Subscript[α, m]], Times[BesselJ[Plus[-1, ν], Subscript[α, ℓ]], BesselJ[ν, Subscript[α, m]], Subscript[α, ℓ]]], Power[Plus[Power[Subscript[α, m], 2], Times[-1, Power[Subscript[α, ℓ], 2]]], -1]]], Greater[Re[ν], -1]], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, -1.4142135623730951] <- {Rule[ConditionalExpression[Plus[Times[Rational[-1, 2], Power[α, -1], Power[BesselJ[ν, Subscript[α, ℓ]], 2], KroneckerDelta[m, ℓ], Power[Subscript[α, ℓ], -2]], Times[Plus[Times[-1, BesselJ[Plus[-1, ν], Subscript[α, m]], BesselJ[ν, Subscript[α, ℓ]], Subscript[α, m]], Times[BesselJ[Plus[-1, ν], Subscript[α, ℓ]], BesselJ[ν, Subscript[α, m]], Subscript[α, ℓ]]], Power[Plus[Power[Subscript[α, m], 2], Times[-1, Power[Subscript[α, ℓ], 2]]], -1]]], Greater[Re[ν], -1]], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, 1.4142135623730951] <- {Rule[ConditionalExpression[Plus[Times[Rational[-1, 2], Power[α, -1], Power[BesselJ[ν, Subscript[α, ℓ]], 2], KroneckerDelta[m, ℓ], Power[Subscript[α, ℓ], -2]], Times[Plus[Times[-1, BesselJ[Plus[-1, ν], Subscript[α, m]], BesselJ[ν, Subscript[α, ℓ]], Subscript[α, m]], Times[BesselJ[Plus[-1, ν], Subscript[α, ℓ]], BesselJ[ν, Subscript[α, m]], Subscript[α, ℓ]]], Power[Plus[Power[Subscript[α, m], 2], Times[-1, Power[Subscript[α, ℓ], 2]]], -1]]], Greater[Re[ν], -1]], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>
+
| [https://dlmf.nist.gov/10.22.E38 10.22.E38] || [[Item:Q3412|<math>\int_{0}^{1}t\BesselJ{\nu}@{\alpha_{\ell}t}\BesselJ{\nu}@{\alpha_{m}t}\diff{t} = \left(\frac{a^{2}}{b^{2}}+\alpha_{\ell}^{2}-\nu^{2}\right)\frac{(\BesselJ{\nu}@{\alpha_{\ell}})^{2}}{2\alpha_{\ell}^{2}}\Kroneckerdelta{\ell}{m}</math>]] || <code>int(t*BesselJ(nu, alpha[ell]*t)*BesselJ(nu, alpha[m]*t), t = 0..1)((BesselJ(nu, alpha[ell]))^(2))/(2*alpha(alpha[ell])^(2))*KroneckerDelta[ell, m]</code> || <code>Integrate[t*BesselJ[\[Nu], Subscript[\[Alpha], \[ScriptL]]*t]*BesselJ[\[Nu], Subscript[\[Alpha], m]*t], {t, 0, 1}]Divide[(BesselJ[\[Nu], Subscript[\[Alpha], \[ScriptL]]])^(2),2*\[Alpha](Subscript[\[Alpha], \[ScriptL]])^(2)]*KroneckerDelta[\[ScriptL], m]</code> || Failure || Failure || Skip || Successful
 
|-
 
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| [https://dlmf.nist.gov/10.22.E39 10.22.E39] || [[Item:Q3413|<math>\int_{x}^{\infty}\frac{\BesselJ{0}@{t}}{t}\diff{t}+\EulerConstant+\ln@{\tfrac{1}{2}x} = \int_{0}^{x}\frac{1-\BesselJ{0}@{t}}{t}\diff{t}</math>]] || <code>int((BesselJ(0, t))/(t), t = x..infinity)+ gamma + ln((1)/(2)*x)= int((1 - BesselJ(0, t))/(t), t = 0..x)</code> || <code>Integrate[Divide[BesselJ[0, t],t], {t, x, Infinity}]+ EulerGamma + Log[Divide[1,2]*x]= Integrate[Divide[1 - BesselJ[0, t],t], {t, 0, x}]</code> || Successful || Failure || - || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[1.4142135623730951, 1.4142135623730951] <- {Rule[ConditionalExpression[Plus[Log[2], Log[Times[Rational[1, 2], x]], Times[-1, Log[x]]], And[Equal[Im[x], 0], Greater[Re[x], 0]]], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.4142135623730951, -1.4142135623730951] <- {Rule[ConditionalExpression[Plus[Log[2], Log[Times[Rational[1, 2], x]], Times[-1, Log[x]]], And[Equal[Im[x], 0], Greater[Re[x], 0]]], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, -1.4142135623730951] <- {Rule[ConditionalExpression[Plus[Log[2], Log[Times[Rational[1, 2], x]], Times[-1, Log[x]]], And[Equal[Im[x], 0], Greater[Re[x], 0]]], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, 1.4142135623730951] <- {Rule[ConditionalExpression[Plus[Log[2], Log[Times[Rational[1, 2], x]], Times[-1, Log[x]]], And[Equal[Im[x], 0], Greater[Re[x], 0]]], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>
+
| [https://dlmf.nist.gov/10.22.E39 10.22.E39] || [[Item:Q3413|<math>\int_{x}^{\infty}\frac{\BesselJ{0}@{t}}{t}\diff{t}+\EulerConstant+\ln@{\tfrac{1}{2}x} = \int_{0}^{x}\frac{1-\BesselJ{0}@{t}}{t}\diff{t}</math>]] || <code>int((BesselJ(0, t))/(t), t = x..infinity)+ gamma + ln((1)/(2)*x)= int((1 - BesselJ(0, t))/(t), t = 0..x)</code> || <code>Integrate[Divide[BesselJ[0, t],t], {t, x, Infinity}]+ EulerGamma + Log[Divide[1,2]*x]= Integrate[Divide[1 - BesselJ[0, t],t], {t, 0, x}]</code> || Successful || Failure || - || Successful
 
|-
 
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| [https://dlmf.nist.gov/10.22.E39 10.22.E39] || [[Item:Q3413|<math>\int_{0}^{x}\frac{1-\BesselJ{0}@{t}}{t}\diff{t} = \sum_{k=1}^{\infty}(-1)^{k-1}\frac{(\frac{1}{2}x)^{2k}}{2k(k!)^{2}}</math>]] || <code>int((1 - BesselJ(0, t))/(t), t = 0..x)= sum((- 1)^(k - 1)*(((1)/(2)*x)^(2*k))/(2*k*(factorial(k))^(2)), k = 1..infinity)</code> || <code>Integrate[Divide[1 - BesselJ[0, t],t], {t, 0, x}]= Sum[(- 1)^(k - 1)*Divide[(Divide[1,2]*x)^(2*k),2*k*((k)!)^(2)], {k, 1, Infinity}]</code> || Successful || Failure || - || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[1.4142135623730951, 1.4142135623730951] <- {Rule[ConditionalExpression[0, And[GreaterEqual[Re[x], 0], Equal[Im[x], 0]]], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.4142135623730951, -1.4142135623730951] <- {Rule[ConditionalExpression[0, And[GreaterEqual[Re[x], 0], Equal[Im[x], 0]]], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, -1.4142135623730951] <- {Rule[ConditionalExpression[0, And[GreaterEqual[Re[x], 0], Equal[Im[x], 0]]], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, 1.4142135623730951] <- {Rule[ConditionalExpression[0, And[GreaterEqual[Re[x], 0], Equal[Im[x], 0]]], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>
+
| [https://dlmf.nist.gov/10.22.E39 10.22.E39] || [[Item:Q3413|<math>\int_{0}^{x}\frac{1-\BesselJ{0}@{t}}{t}\diff{t} = \sum_{k=1}^{\infty}(-1)^{k-1}\frac{(\frac{1}{2}x)^{2k}}{2k(k!)^{2}}</math>]] || <code>int((1 - BesselJ(0, t))/(t), t = 0..x)= sum((- 1)^(k - 1)*(((1)/(2)*x)^(2*k))/(2*k*(factorial(k))^(2)), k = 1..infinity)</code> || <code>Integrate[Divide[1 - BesselJ[0, t],t], {t, 0, x}]= Sum[(- 1)^(k - 1)*Divide[(Divide[1,2]*x)^(2*k),2*k*((k)!)^(2)], {k, 1, Infinity}]</code> || Successful || Failure || - || Successful
 
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| [https://dlmf.nist.gov/10.22.E40 10.22.E40] || [[Item:Q3414|<math>\int_{x}^{\infty}\frac{\BesselY{0}@{t}}{t}\diff{t} = -\frac{1}{\pi}\left(\ln@{\tfrac{1}{2}x}+\EulerConstant\right)^{2}+\frac{\pi}{6}+\frac{2}{\pi}\sum_{k=1}^{\infty}(-1)^{k}\*\left(\digamma@{k+1}+\frac{1}{2k}-\ln@{\tfrac{1}{2}x}\right)\frac{(\tfrac{1}{2}x)^{2k}}{2k(k!)^{2}}</math>]] || <code>int((BesselY(0, t))/(t), t = x..infinity)= -(1)/(Pi)*(ln((1)/(2)*x)+ gamma)^(2)+(Pi)/(6)+(2)/(Pi)*sum((- 1)^(k)*(Psi(k + 1)+(1)/(2*k)- ln((1)/(2)*x))*(((1)/(2)*x)^(2*k))/(2*k*(factorial(k))^(2)), k = 1..infinity)</code> || <code>Integrate[Divide[BesselY[0, t],t], {t, x, Infinity}]= -Divide[1,Pi]*(Log[Divide[1,2]*x]+ EulerGamma)^(2)+Divide[Pi,6]+Divide[2,Pi]*Sum[(- 1)^(k)*(PolyGamma[k + 1]+Divide[1,2*k]- Log[Divide[1,2]*x])*Divide[(Divide[1,2]*x)^(2*k),2*k*((k)!)^(2)], {k, 1, Infinity}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.22.E40 10.22.E40] || [[Item:Q3414|<math>\int_{x}^{\infty}\frac{\BesselY{0}@{t}}{t}\diff{t} = -\frac{1}{\pi}\left(\ln@{\tfrac{1}{2}x}+\EulerConstant\right)^{2}+\frac{\pi}{6}+\frac{2}{\pi}\sum_{k=1}^{\infty}(-1)^{k}\*\left(\digamma@{k+1}+\frac{1}{2k}-\ln@{\tfrac{1}{2}x}\right)\frac{(\tfrac{1}{2}x)^{2k}}{2k(k!)^{2}}</math>]] || <code>int((BesselY(0, t))/(t), t = x..infinity)= -(1)/(Pi)*(ln((1)/(2)*x)+ gamma)^(2)+(Pi)/(6)+(2)/(Pi)*sum((- 1)^(k)*(Psi(k + 1)+(1)/(2*k)- ln((1)/(2)*x))*(((1)/(2)*x)^(2*k))/(2*k*(factorial(k))^(2)), k = 1..infinity)</code> || <code>Integrate[Divide[BesselY[0, t],t], {t, x, Infinity}]= -Divide[1,Pi]*(Log[Divide[1,2]*x]+ EulerGamma)^(2)+Divide[Pi,6]+Divide[2,Pi]*Sum[(- 1)^(k)*(PolyGamma[k + 1]+Divide[1,2*k]- Log[Divide[1,2]*x])*Divide[(Divide[1,2]*x)^(2*k),2*k*((k)!)^(2)], {k, 1, Infinity}]</code> || Failure || Failure || Skip || Error  
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E41 10.22.E41] || [[Item:Q3415|<math>\int_{0}^{\infty}\BesselJ{\nu}@{t}\diff{t} = 1</math>]] || <code>int(BesselJ(nu, t), t = 0..infinity)= 1</code> || <code>Integrate[BesselJ[\[Nu], t], {t, 0, Infinity}]= 1</code> || Successful || Failure || - || Error
+
| [https://dlmf.nist.gov/10.22.E41 10.22.E41] || [[Item:Q3415|<math>\int_{0}^{\infty}\BesselJ{\nu}@{t}\diff{t} = 1</math>]] || <code>int(BesselJ(nu, t), t = 0..infinity)= 1</code> || <code>Integrate[BesselJ[\[Nu], t], {t, 0, Infinity}]= 1</code> || Successful || Failure || - || Successful
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.22.E42 10.22.E42] || [[Item:Q3416|<math>\int_{0}^{\infty}\BesselY{\nu}@{t}\diff{t} = -\tan@{\tfrac{1}{2}\nu\pi}</math>]] || <code>int(BesselY(nu, t), t = 0..infinity)= - tan((1)/(2)*nu*Pi)</code> || <code>Integrate[BesselY[\[Nu], t], {t, 0, Infinity}]= - Tan[Divide[1,2]*\[Nu]*Pi]</code> || Successful || Failure || - || Error  
 
| [https://dlmf.nist.gov/10.22.E42 10.22.E42] || [[Item:Q3416|<math>\int_{0}^{\infty}\BesselY{\nu}@{t}\diff{t} = -\tan@{\tfrac{1}{2}\nu\pi}</math>]] || <code>int(BesselY(nu, t), t = 0..infinity)= - tan((1)/(2)*nu*Pi)</code> || <code>Integrate[BesselY[\[Nu], t], {t, 0, Infinity}]= - Tan[Divide[1,2]*\[Nu]*Pi]</code> || Successful || Failure || - || Error  
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E43 10.22.E43] || [[Item:Q3417|<math>\int_{0}^{\infty}t^{\mu}\BesselJ{\nu}@{t}\diff{t} = 2^{\mu}\frac{\EulerGamma@{\tfrac{1}{2}\nu+\tfrac{1}{2}\mu+\tfrac{1}{2}}}{\EulerGamma@{\tfrac{1}{2}\nu-\tfrac{1}{2}\mu+\tfrac{1}{2}}}</math>]] || <code>int((t)^(mu)* BesselJ(nu, t), t = 0..infinity)= (2)^(mu)*(GAMMA((1)/(2)*nu +(1)/(2)*mu +(1)/(2)))/(GAMMA((1)/(2)*nu -(1)/(2)*mu +(1)/(2)))</code> || <code>Integrate[(t)^(\[Mu])* BesselJ[\[Nu], t], {t, 0, Infinity}]= (2)^(\[Mu])*Divide[Gamma[Divide[1,2]*\[Nu]+Divide[1,2]*\[Mu]+Divide[1,2]],Gamma[Divide[1,2]*\[Nu]-Divide[1,2]*\[Mu]+Divide[1,2]]]</code> || Successful || Failure || - || Error
+
| [https://dlmf.nist.gov/10.22.E43 10.22.E43] || [[Item:Q3417|<math>\int_{0}^{\infty}t^{\mu}\BesselJ{\nu}@{t}\diff{t} = 2^{\mu}\frac{\EulerGamma@{\tfrac{1}{2}\nu+\tfrac{1}{2}\mu+\tfrac{1}{2}}}{\EulerGamma@{\tfrac{1}{2}\nu-\tfrac{1}{2}\mu+\tfrac{1}{2}}}</math>]] || <code>int((t)^(mu)* BesselJ(nu, t), t = 0..infinity)= (2)^(mu)*(GAMMA((1)/(2)*nu +(1)/(2)*mu +(1)/(2)))/(GAMMA((1)/(2)*nu -(1)/(2)*mu +(1)/(2)))</code> || <code>Integrate[(t)^(\[Mu])* BesselJ[\[Nu], t], {t, 0, Infinity}]= (2)^(\[Mu])*Divide[Gamma[Divide[1,2]*\[Nu]+Divide[1,2]*\[Mu]+Divide[1,2]],Gamma[Divide[1,2]*\[Nu]-Divide[1,2]*\[Mu]+Divide[1,2]]]</code> || Successful || Failure || - || Successful
 
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| [https://dlmf.nist.gov/10.22.E44 10.22.E44] || [[Item:Q3418|<math>\int_{0}^{\infty}t^{\mu}\BesselY{\nu}@{t}\diff{t} = \frac{2^{\mu}}{\pi}\EulerGamma@{\tfrac{1}{2}\mu+\tfrac{1}{2}\nu+\tfrac{1}{2}}\EulerGamma@{\tfrac{1}{2}\mu-\tfrac{1}{2}\nu+\tfrac{1}{2}}\sin@{\tfrac{1}{2}\mu-\tfrac{1}{2}\nu}\pi</math>]] || <code>int((t)^(mu)* BesselY(nu, t), t = 0..infinity)=((2)^(mu))/(Pi)*GAMMA((1)/(2)*mu +(1)/(2)*nu +(1)/(2))*GAMMA((1)/(2)*mu -(1)/(2)*nu +(1)/(2))*sin((1)/(2)*mu -(1)/(2)*nu)*Pi</code> || <code>Integrate[(t)^(\[Mu])* BesselY[\[Nu], t], {t, 0, Infinity}]=Divide[(2)^(\[Mu]),Pi]*Gamma[Divide[1,2]*\[Mu]+Divide[1,2]*\[Nu]+Divide[1,2]]*Gamma[Divide[1,2]*\[Mu]-Divide[1,2]*\[Nu]+Divide[1,2]]*Sin[Divide[1,2]*\[Mu]-Divide[1,2]*\[Nu]]*Pi</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.22.E44 10.22.E44] || [[Item:Q3418|<math>\int_{0}^{\infty}t^{\mu}\BesselY{\nu}@{t}\diff{t} = \frac{2^{\mu}}{\pi}\EulerGamma@{\tfrac{1}{2}\mu+\tfrac{1}{2}\nu+\tfrac{1}{2}}\EulerGamma@{\tfrac{1}{2}\mu-\tfrac{1}{2}\nu+\tfrac{1}{2}}\sin@{\tfrac{1}{2}\mu-\tfrac{1}{2}\nu}\pi</math>]] || <code>int((t)^(mu)* BesselY(nu, t), t = 0..infinity)=((2)^(mu))/(Pi)*GAMMA((1)/(2)*mu +(1)/(2)*nu +(1)/(2))*GAMMA((1)/(2)*mu -(1)/(2)*nu +(1)/(2))*sin((1)/(2)*mu -(1)/(2)*nu)*Pi</code> || <code>Integrate[(t)^(\[Mu])* BesselY[\[Nu], t], {t, 0, Infinity}]=Divide[(2)^(\[Mu]),Pi]*Gamma[Divide[1,2]*\[Mu]+Divide[1,2]*\[Nu]+Divide[1,2]]*Gamma[Divide[1,2]*\[Mu]-Divide[1,2]*\[Nu]+Divide[1,2]]*Sin[Divide[1,2]*\[Mu]-Divide[1,2]*\[Nu]]*Pi</code> || Failure || Failure || Skip || Error  
Line 367: Line 367:
 
| [https://dlmf.nist.gov/10.22.E54 10.22.E54] || [[Item:Q3428|<math>\int_{0}^{\infty}\BesselJ{\nu}@{bt}\exp@{-p^{2}t^{2}}t^{\mu-1}\diff{t} = \frac{(\tfrac{1}{2}b/p)^{\nu}\EulerGamma@{\tfrac{1}{2}\nu+\tfrac{1}{2}\mu}}{2p^{\mu}}\exp@{-\frac{b^{2}}{4p^{2}}}\*\OlverconfhyperM@{\tfrac{1}{2}\nu-\tfrac{1}{2}\mu+1}{\nu+1}{\frac{b^{2}}{4p^{2}}}</math>]] || <code>int(BesselJ(nu, b*t)*exp(- (p)^(2)* (t)^(2))*(t)^(mu - 1), t = 0..infinity)=(((1)/(2)*b/ p)^(nu)* GAMMA((1)/(2)*nu +(1)/(2)*mu))/(2*(p)^(mu))*exp(-((b)^(2))/(4*(p)^(2)))* KummerM((1)/(2)*nu -(1)/(2)*mu + 1, nu + 1, ((b)^(2))/(4*(p)^(2)))/GAMMA(nu + 1)</code> || <code>Integrate[BesselJ[\[Nu], b*t]*Exp[- (p)^(2)* (t)^(2)]*(t)^(\[Mu]- 1), {t, 0, Infinity}]=Divide[(Divide[1,2]*b/ p)^(\[Nu])* Gamma[Divide[1,2]*\[Nu]+Divide[1,2]*\[Mu]],2*(p)^(\[Mu])]*Exp[-Divide[(b)^(2),4*(p)^(2)]]* Hypergeometric1F1Regularized[Divide[1,2]*\[Nu]-Divide[1,2]*\[Mu]+ 1, \[Nu]+ 1, Divide[(b)^(2),4*(p)^(2)]]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.22.E54 10.22.E54] || [[Item:Q3428|<math>\int_{0}^{\infty}\BesselJ{\nu}@{bt}\exp@{-p^{2}t^{2}}t^{\mu-1}\diff{t} = \frac{(\tfrac{1}{2}b/p)^{\nu}\EulerGamma@{\tfrac{1}{2}\nu+\tfrac{1}{2}\mu}}{2p^{\mu}}\exp@{-\frac{b^{2}}{4p^{2}}}\*\OlverconfhyperM@{\tfrac{1}{2}\nu-\tfrac{1}{2}\mu+1}{\nu+1}{\frac{b^{2}}{4p^{2}}}</math>]] || <code>int(BesselJ(nu, b*t)*exp(- (p)^(2)* (t)^(2))*(t)^(mu - 1), t = 0..infinity)=(((1)/(2)*b/ p)^(nu)* GAMMA((1)/(2)*nu +(1)/(2)*mu))/(2*(p)^(mu))*exp(-((b)^(2))/(4*(p)^(2)))* KummerM((1)/(2)*nu -(1)/(2)*mu + 1, nu + 1, ((b)^(2))/(4*(p)^(2)))/GAMMA(nu + 1)</code> || <code>Integrate[BesselJ[\[Nu], b*t]*Exp[- (p)^(2)* (t)^(2)]*(t)^(\[Mu]- 1), {t, 0, Infinity}]=Divide[(Divide[1,2]*b/ p)^(\[Nu])* Gamma[Divide[1,2]*\[Nu]+Divide[1,2]*\[Mu]],2*(p)^(\[Mu])]*Exp[-Divide[(b)^(2),4*(p)^(2)]]* Hypergeometric1F1Regularized[Divide[1,2]*\[Nu]-Divide[1,2]*\[Mu]+ 1, \[Nu]+ 1, Divide[(b)^(2),4*(p)^(2)]]</code> || Failure || Failure || Skip || Error  
 
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| [https://dlmf.nist.gov/10.22.E55 10.22.E55] || [[Item:Q3429|<math>\int_{0}^{\infty}t^{-1}\BesselJ{\nu+2\ell+1}@{t}\BesselJ{\nu+2m+1}@{t}\diff{t} = \frac{\Kroneckerdelta{\ell}{m}}{2(2\ell+\nu+1)}</math>]] || <code>int((t)^(- 1)* BesselJ(nu + 2*ell + 1, t)*BesselJ(nu + 2*m + 1, t), t = 0..infinity)=(KroneckerDelta[ell, m])/(2*(2*ell + nu + 1))</code> || <code>Integrate[(t)^(- 1)* BesselJ[\[Nu]+ 2*\[ScriptL]+ 1, t]*BesselJ[\[Nu]+ 2*m + 1, t], {t, 0, Infinity}]=Divide[KroneckerDelta[\[ScriptL], m],2*(2*\[ScriptL]+ \[Nu]+ 1)]</code> || Failure || Failure || Skip || Skip
+
| [https://dlmf.nist.gov/10.22.E55 10.22.E55] || [[Item:Q3429|<math>\int_{0}^{\infty}t^{-1}\BesselJ{\nu+2\ell+1}@{t}\BesselJ{\nu+2m+1}@{t}\diff{t} = \frac{\Kroneckerdelta{\ell}{m}}{2(2\ell+\nu+1)}</math>]] || <code>int((t)^(- 1)* BesselJ(nu + 2*ell + 1, t)*BesselJ(nu + 2*m + 1, t), t = 0..infinity)=(KroneckerDelta[ell, m])/(2*(2*ell + nu + 1))</code> || <code>Integrate[(t)^(- 1)* BesselJ[\[Nu]+ 2*\[ScriptL]+ 1, t]*BesselJ[\[Nu]+ 2*m + 1, t], {t, 0, Infinity}]=Divide[KroneckerDelta[\[ScriptL], m],2*(2*\[ScriptL]+ \[Nu]+ 1)]</code> || Failure || Failure || Skip || Successful
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.22.E56 10.22.E56] || [[Item:Q3430|<math>\int_{0}^{\infty}\frac{\BesselJ{\mu}@{at}\BesselJ{\nu}@{bt}}{t^{\lambda}}\diff{t} = \frac{a^{\mu}\EulerGamma@{\frac{1}{2}\nu+\frac{1}{2}\mu-\frac{1}{2}\lambda+\frac{1}{2}}}{2^{\lambda}b^{\mu-\lambda+1}\EulerGamma@{\frac{1}{2}\nu-\frac{1}{2}\mu+\frac{1}{2}\lambda+\frac{1}{2}}}\*\hyperOlverF@{\tfrac{1}{2}(\mu+\nu-\lambda+1)}{\tfrac{1}{2}(\mu-\nu-\lambda+1)}{\mu+1}{\frac{a^{2}}{b^{2}}}</math>]] || <code>int((BesselJ(mu, a*t)*BesselJ(nu, b*t))/((t)^(lambda)), t = 0..infinity)=((a)^(mu)* GAMMA((1)/(2)*nu +(1)/(2)*mu -(1)/(2)*lambda +(1)/(2)))/((2)^(lambda)* (b)^(mu - lambda + 1)* GAMMA((1)/(2)*nu -(1)/(2)*mu +(1)/(2)*lambda +(1)/(2)))* hypergeom([(1)/(2)*(mu + nu - lambda + 1), (1)/(2)*(mu - nu - lambda + 1)], [mu + 1], ((a)^(2))/((b)^(2)))/GAMMA(mu + 1)</code> || <code>Integrate[Divide[BesselJ[\[Mu], a*t]*BesselJ[\[Nu], b*t],(t)^(\[Lambda])], {t, 0, Infinity}]=Divide[(a)^(\[Mu])* Gamma[Divide[1,2]*\[Nu]+Divide[1,2]*\[Mu]-Divide[1,2]*\[Lambda]+Divide[1,2]],(2)^(\[Lambda])* (b)^(\[Mu]- \[Lambda]+ 1)* Gamma[Divide[1,2]*\[Nu]-Divide[1,2]*\[Mu]+Divide[1,2]*\[Lambda]+Divide[1,2]]]* Hypergeometric2F1Regularized[Divide[1,2]*(\[Mu]+ \[Nu]- \[Lambda]+ 1), Divide[1,2]*(\[Mu]- \[Nu]- \[Lambda]+ 1), \[Mu]+ 1, Divide[(a)^(2),(b)^(2)]]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.22.E56 10.22.E56] || [[Item:Q3430|<math>\int_{0}^{\infty}\frac{\BesselJ{\mu}@{at}\BesselJ{\nu}@{bt}}{t^{\lambda}}\diff{t} = \frac{a^{\mu}\EulerGamma@{\frac{1}{2}\nu+\frac{1}{2}\mu-\frac{1}{2}\lambda+\frac{1}{2}}}{2^{\lambda}b^{\mu-\lambda+1}\EulerGamma@{\frac{1}{2}\nu-\frac{1}{2}\mu+\frac{1}{2}\lambda+\frac{1}{2}}}\*\hyperOlverF@{\tfrac{1}{2}(\mu+\nu-\lambda+1)}{\tfrac{1}{2}(\mu-\nu-\lambda+1)}{\mu+1}{\frac{a^{2}}{b^{2}}}</math>]] || <code>int((BesselJ(mu, a*t)*BesselJ(nu, b*t))/((t)^(lambda)), t = 0..infinity)=((a)^(mu)* GAMMA((1)/(2)*nu +(1)/(2)*mu -(1)/(2)*lambda +(1)/(2)))/((2)^(lambda)* (b)^(mu - lambda + 1)* GAMMA((1)/(2)*nu -(1)/(2)*mu +(1)/(2)*lambda +(1)/(2)))* hypergeom([(1)/(2)*(mu + nu - lambda + 1), (1)/(2)*(mu - nu - lambda + 1)], [mu + 1], ((a)^(2))/((b)^(2)))/GAMMA(mu + 1)</code> || <code>Integrate[Divide[BesselJ[\[Mu], a*t]*BesselJ[\[Nu], b*t],(t)^(\[Lambda])], {t, 0, Infinity}]=Divide[(a)^(\[Mu])* Gamma[Divide[1,2]*\[Nu]+Divide[1,2]*\[Mu]-Divide[1,2]*\[Lambda]+Divide[1,2]],(2)^(\[Lambda])* (b)^(\[Mu]- \[Lambda]+ 1)* Gamma[Divide[1,2]*\[Nu]-Divide[1,2]*\[Mu]+Divide[1,2]*\[Lambda]+Divide[1,2]]]* Hypergeometric2F1Regularized[Divide[1,2]*(\[Mu]+ \[Nu]- \[Lambda]+ 1), Divide[1,2]*(\[Mu]- \[Nu]- \[Lambda]+ 1), \[Mu]+ 1, Divide[(a)^(2),(b)^(2)]]</code> || Failure || Failure || Skip || Error  
Line 395: Line 395:
 
| [https://dlmf.nist.gov/10.22.E63 10.22.E63] || [[Item:Q3437|<math>\begin{cases}b^{\mu-1}a^{-\mu},&0 < b</math>]] || <code></code> || <code></code> || Error || Failure || - || Error  
 
| [https://dlmf.nist.gov/10.22.E63 10.22.E63] || [[Item:Q3437|<math>\begin{cases}b^{\mu-1}a^{-\mu},&0 < b</math>]] || <code></code> || <code></code> || Error || Failure || - || Error  
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E63 10.22.E63] || [[Item:Q3437|<math>b < a,\\ (2b)^{-1},&b</math>]] || <code>b < a ,(2*b)^(- 1),</code> || <code>b < a ,(2*b)^(- 1),</code> || Error || Failure || - || Skip
+
| [https://dlmf.nist.gov/10.22.E63 10.22.E63] || [[Item:Q3437|<math>b < a,\\ (2b)^{-1},&b</math>]] || <code>b < a ,(2*b)^(- 1),</code> || <code>b < a ,(2*b)^(- 1),</code> || Error || Failure || - || Error
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.22.E64 10.22.E64] || [[Item:Q3438|<math>\int_{0}^{\infty}\BesselJ{\mu+2n+1}@{at}\BesselJ{\mu}@{bt}\diff{t} = \begin{cases}\dfrac{b^{\mu}\EulerGamma@{\mu+n+1}}{a^{\mu+1}n!}\hyperOlverF@{-n}{\mu+n+1}{\mu+1}{\dfrac{b^{2}}{a^{2}}},&0</math>]] || <code>int(BesselJ(mu + 2*n + 1, a*t)*BesselJ(mu, b*t), t = 0..infinity)=</code> || <code>Integrate[BesselJ[\[Mu]+ 2*n + 1, a*t]*BesselJ[\[Mu], b*t], {t, 0, Infinity}]=</code> || Error || Failure || - || -  
 
| [https://dlmf.nist.gov/10.22.E64 10.22.E64] || [[Item:Q3438|<math>\int_{0}^{\infty}\BesselJ{\mu+2n+1}@{at}\BesselJ{\mu}@{bt}\diff{t} = \begin{cases}\dfrac{b^{\mu}\EulerGamma@{\mu+n+1}}{a^{\mu+1}n!}\hyperOlverF@{-n}{\mu+n+1}{\mu+1}{\dfrac{b^{2}}{a^{2}}},&0</math>]] || <code>int(BesselJ(mu + 2*n + 1, a*t)*BesselJ(mu, b*t), t = 0..infinity)=</code> || <code>Integrate[BesselJ[\[Mu]+ 2*n + 1, a*t]*BesselJ[\[Mu], b*t], {t, 0, Infinity}]=</code> || Error || Failure || - || -  
Line 401: Line 401:
 
| [https://dlmf.nist.gov/10.22.E64 10.22.E64] || [[Item:Q3438|<math>\begin{cases}\dfrac{b^{\mu}\EulerGamma@{\mu+n+1}}{a^{\mu+1}n!}\hyperOlverF@{-n}{\mu+n+1}{\mu+1}{\dfrac{b^{2}}{a^{2}}},&0 < b</math>]] || <code></code> || <code></code> || Error || Failure || - || Error  
 
| [https://dlmf.nist.gov/10.22.E64 10.22.E64] || [[Item:Q3438|<math>\begin{cases}\dfrac{b^{\mu}\EulerGamma@{\mu+n+1}}{a^{\mu+1}n!}\hyperOlverF@{-n}{\mu+n+1}{\mu+1}{\dfrac{b^{2}}{a^{2}}},&0 < b</math>]] || <code></code> || <code></code> || Error || Failure || - || Error  
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E64 10.22.E64] || [[Item:Q3438|<math>b < a,\\ (-1)^{n}/(2a),&b</math>]] || <code>b < a ,(- 1)^(n)/(2*a),</code> || <code>b < a ,(- 1)^(n)/(2*a),</code> || Error || Failure || - || Skip
+
| [https://dlmf.nist.gov/10.22.E64 10.22.E64] || [[Item:Q3438|<math>b < a,\\ (-1)^{n}/(2a),&b</math>]] || <code>b < a ,(- 1)^(n)/(2*a),</code> || <code>b < a ,(- 1)^(n)/(2*a),</code> || Error || Failure || - || Error
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.22.E65 10.22.E65] || [[Item:Q3439|<math>\int_{0}^{\infty}\BesselJ{0}@{at}\left(\BesselJ{0}@{bt}-\BesselJ{0}@{ct}\right)\frac{\diff{t}}{t} = \begin{cases}0,&0</math>]] || <code>int(BesselJ(0, a*t)*(BesselJ(0, b*t)- BesselJ(0, c*t))*(1)/(t), t = 0..infinity)=</code> || <code>Integrate[BesselJ[0, a*t]*(BesselJ[0, b*t]- BesselJ[0, c*t])*Divide[1,t], {t, 0, Infinity}]=</code> || Failure || Failure || Error || -  
 
| [https://dlmf.nist.gov/10.22.E65 10.22.E65] || [[Item:Q3439|<math>\int_{0}^{\infty}\BesselJ{0}@{at}\left(\BesselJ{0}@{bt}-\BesselJ{0}@{ct}\right)\frac{\diff{t}}{t} = \begin{cases}0,&0</math>]] || <code>int(BesselJ(0, a*t)*(BesselJ(0, b*t)- BesselJ(0, c*t))*(1)/(t), t = 0..infinity)=</code> || <code>Integrate[BesselJ[0, a*t]*(BesselJ[0, b*t]- BesselJ[0, c*t])*Divide[1,t], {t, 0, Infinity}]=</code> || Failure || Failure || Error || -  
Line 407: Line 407:
 
| [https://dlmf.nist.gov/10.22.E65 10.22.E65] || [[Item:Q3439|<math>\begin{cases}0,&0 <= b</math>]] || <code></code> || <code></code> || Failure || Failure || Error || -  
 
| [https://dlmf.nist.gov/10.22.E65 10.22.E65] || [[Item:Q3439|<math>\begin{cases}0,&0 <= b</math>]] || <code></code> || <code></code> || Failure || Failure || Error || -  
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E65 10.22.E65] || [[Item:Q3439|<math>b < a,0</math>]] || <code>b < a , 0</code> || <code>b < a , 0</code> || Error || Failure || - || Skip
+
| [https://dlmf.nist.gov/10.22.E65 10.22.E65] || [[Item:Q3439|<math>b < a,0</math>]] || <code>b < a , 0</code> || <code>b < a , 0</code> || Error || Failure || - || -
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E65 10.22.E65] || [[Item:Q3439|<math>a,0 < c</math>]] || <code>a , 0 < c</code> || <code>a , 0 < c</code> || Error || Failure || - || Skip
+
| [https://dlmf.nist.gov/10.22.E65 10.22.E65] || [[Item:Q3439|<math>a,0 < c</math>]] || <code>a , 0 < c</code> || <code>a , 0 < c</code> || Error || Failure || - || Error
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E65 10.22.E65] || [[Item:Q3439|<math>c <= a,\\ \ln@{c/a},&0</math>]] || <code>c < = a , ln(c/ a),</code> || <code>c < = a , Log[c/ a],</code> || Failure || Failure || Skip || Skip
+
| [https://dlmf.nist.gov/10.22.E65 10.22.E65] || [[Item:Q3439|<math>c <= a,\\ \ln@{c/a},&0</math>]] || <code>c < = a , ln(c/ a),</code> || <code>c < = a , Log[c/ a],</code> || Failure || Failure || Skip || Successful
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.22.E66 10.22.E66] || [[Item:Q3440|<math>\int_{0}^{\infty}e^{-at}\BesselJ{\nu}@{bt}\BesselJ{\nu}@{ct}\diff{t} = \frac{1}{\pi(bc)^{\frac{1}{2}}}\*\assLegendreQ[]{\nu-\frac{1}{2}}@{\frac{a^{2}+b^{2}+c^{2}}{2bc}}</math>]] || <code>int(exp(- a*t)*BesselJ(nu, b*t)*BesselJ(nu, c*t), t = 0..infinity)=(1)/(Pi*(b*c)^((1)/(2)))* LegendreQ(nu -(1)/(2), ((a)^(2)+ (b)^(2)+ (c)^(2))/(2*b*c))</code> || <code>Integrate[Exp[- a*t]*BesselJ[\[Nu], b*t]*BesselJ[\[Nu], c*t], {t, 0, Infinity}]=Divide[1,Pi*(b*c)^(Divide[1,2])]* LegendreQ[\[Nu]-Divide[1,2], 0, 3, Divide[(a)^(2)+ (b)^(2)+ (c)^(2),2*b*c]]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.22.E66 10.22.E66] || [[Item:Q3440|<math>\int_{0}^{\infty}e^{-at}\BesselJ{\nu}@{bt}\BesselJ{\nu}@{ct}\diff{t} = \frac{1}{\pi(bc)^{\frac{1}{2}}}\*\assLegendreQ[]{\nu-\frac{1}{2}}@{\frac{a^{2}+b^{2}+c^{2}}{2bc}}</math>]] || <code>int(exp(- a*t)*BesselJ(nu, b*t)*BesselJ(nu, c*t), t = 0..infinity)=(1)/(Pi*(b*c)^((1)/(2)))* LegendreQ(nu -(1)/(2), ((a)^(2)+ (b)^(2)+ (c)^(2))/(2*b*c))</code> || <code>Integrate[Exp[- a*t]*BesselJ[\[Nu], b*t]*BesselJ[\[Nu], c*t], {t, 0, Infinity}]=Divide[1,Pi*(b*c)^(Divide[1,2])]* LegendreQ[\[Nu]-Divide[1,2], 0, 3, Divide[(a)^(2)+ (b)^(2)+ (c)^(2),2*b*c]]</code> || Failure || Failure || Skip || Error  
Line 421: Line 421:
 
| [https://dlmf.nist.gov/10.22.E70 10.22.E70] || [[Item:Q3444|<math>\int_{0}^{\infty}\BesselY{\nu}@{at}\BesselJ{\nu+1}@{bt}\frac{t\diff{t}}{t^{2}-z^{2}} = \frac{1}{2}\pi\BesselJ{\nu+1}@{bz}\HankelH{1}{\nu}@{az}</math>]] || <code>int(BesselY(nu, a*t)*BesselJ(nu + 1, b*t)*(t)/((t)^(2)- (z)^(2)), t = 0..infinity)=(1)/(2)*Pi*BesselJ(nu + 1, b*z)*HankelH1(nu, a*z)</code> || <code>Integrate[BesselY[\[Nu], a*t]*BesselJ[\[Nu]+ 1, b*t]*Divide[t,(t)^(2)- (z)^(2)], {t, 0, Infinity}]=Divide[1,2]*Pi*BesselJ[\[Nu]+ 1, b*z]*HankelH1[\[Nu], a*z]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.22.E70 10.22.E70] || [[Item:Q3444|<math>\int_{0}^{\infty}\BesselY{\nu}@{at}\BesselJ{\nu+1}@{bt}\frac{t\diff{t}}{t^{2}-z^{2}} = \frac{1}{2}\pi\BesselJ{\nu+1}@{bz}\HankelH{1}{\nu}@{az}</math>]] || <code>int(BesselY(nu, a*t)*BesselJ(nu + 1, b*t)*(t)/((t)^(2)- (z)^(2)), t = 0..infinity)=(1)/(2)*Pi*BesselJ(nu + 1, b*z)*HankelH1(nu, a*z)</code> || <code>Integrate[BesselY[\[Nu], a*t]*BesselJ[\[Nu]+ 1, b*t]*Divide[t,(t)^(2)- (z)^(2)], {t, 0, Infinity}]=Divide[1,2]*Pi*BesselJ[\[Nu]+ 1, b*z]*HankelH1[\[Nu], a*z]</code> || Failure || Failure || Skip || Error  
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E71 10.22.E71] || [[Item:Q3445|<math>\int_{0}^{\infty}\BesselJ{\mu}@{at}\BesselJ{\nu}@{bt}\BesselJ{\nu}@{ct}t^{1-\mu}\diff{t} = \frac{(bc)^{\mu-1}(\sin@@{\phi})^{\mu-\frac{1}{2}}}{(2\pi)^{\frac{1}{2}}a^{\mu}}\FerrersP[\frac{1}{2}-\mu]{\nu-\frac{1}{2}}(\cos@@{\phi})</math>]] || <code>int(BesselJ(mu, a*t)*BesselJ(nu, b*t)*BesselJ(nu, c*t)*(t)^(1 - mu), t = 0..infinity)=((b*c)^(mu - 1)*(sin(phi))^(mu -(1)/(2)))/((2*Pi)^((1)/(2))* (a)^(mu))*LegendreP(nu -(1)/(2), (1)/(2)- mu, cos(phi))</code> || <code>Integrate[BesselJ[\[Mu], a*t]*BesselJ[\[Nu], b*t]*BesselJ[\[Nu], c*t]*(t)^(1 - \[Mu]), {t, 0, Infinity}]=Divide[(b*c)^(\[Mu]- 1)*(Sin[\[Phi]])^(\[Mu]-Divide[1,2]),(2*Pi)^(Divide[1,2])* (a)^(\[Mu])]*LegendreP[\[Nu]-Divide[1,2], Divide[1,2]- \[Mu], Cos[\[Phi]]]</code> || Failure || Failure || Skip || Error
+
| [https://dlmf.nist.gov/10.22.E71 10.22.E71] || [[Item:Q3445|<math>\int_{0}^{\infty}\BesselJ{\mu}@{at}\BesselJ{\nu}@{bt}\BesselJ{\nu}@{ct}t^{1-\mu}\diff{t} = \frac{(bc)^{\mu-1}(\sin@@{\phi})^{\mu-\frac{1}{2}}}{(2\pi)^{\frac{1}{2}}a^{\mu}}\FerrersP[\frac{1}{2}-\mu]{\nu-\frac{1}{2}}(\cos@@{\phi})</math>]] || <code>int(BesselJ(mu, a*t)*BesselJ(nu, b*t)*BesselJ(nu, c*t)*(t)^(1 - mu), t = 0..infinity)=((b*c)^(mu - 1)*(sin(phi))^(mu -(1)/(2)))/((2*Pi)^((1)/(2))* (a)^(mu))*LegendreP(nu -(1)/(2), (1)/(2)- mu, cos(phi))</code> || <code>Integrate[BesselJ[\[Mu], a*t]*BesselJ[\[Nu], b*t]*BesselJ[\[Nu], c*t]*(t)^(1 - \[Mu]), {t, 0, Infinity}]=Divide[(b*c)^(\[Mu]- 1)*(Sin[\[Phi]])^(\[Mu]-Divide[1,2]),(2*Pi)^(Divide[1,2])* (a)^(\[Mu])]*LegendreP[\[Nu]-Divide[1,2], Divide[1,2]- \[Mu], Cos[\[Phi]]]</code> || Failure || Failure || Skip || Skip
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.22.E75 10.22.E75] || [[Item:Q3450|<math>\int_{0}^{\infty}\BesselY{\nu}@{at}\BesselJ{\nu}@{bt}\BesselJ{\nu}@{ct}t^{1+\nu}\diff{t} = \begin{cases}-\dfrac{(abc)^{\nu}(-A)^{-\nu-\frac{1}{2}}}{\pi^{\frac{1}{2}}2^{\nu+1}\EulerGamma@{\frac{1}{2}-\nu}},&0</math>]] || <code>int(BesselY(nu, a*t)*BesselJ(nu, b*t)*BesselJ(nu, c*t)*(t)^(1 + nu), t = 0..infinity)=</code> || <code>Integrate[BesselY[\[Nu], a*t]*BesselJ[\[Nu], b*t]*BesselJ[\[Nu], c*t]*(t)^(1 + \[Nu]), {t, 0, Infinity}]=</code> || Error || Failure || - || -  
 
| [https://dlmf.nist.gov/10.22.E75 10.22.E75] || [[Item:Q3450|<math>\int_{0}^{\infty}\BesselY{\nu}@{at}\BesselJ{\nu}@{bt}\BesselJ{\nu}@{ct}t^{1+\nu}\diff{t} = \begin{cases}-\dfrac{(abc)^{\nu}(-A)^{-\nu-\frac{1}{2}}}{\pi^{\frac{1}{2}}2^{\nu+1}\EulerGamma@{\frac{1}{2}-\nu}},&0</math>]] || <code>int(BesselY(nu, a*t)*BesselJ(nu, b*t)*BesselJ(nu, c*t)*(t)^(1 + nu), t = 0..infinity)=</code> || <code>Integrate[BesselY[\[Nu], a*t]*BesselJ[\[Nu], b*t]*BesselJ[\[Nu], c*t]*(t)^(1 + \[Nu]), {t, 0, Infinity}]=</code> || Error || Failure || - || -  
Line 427: Line 427:
 
| [https://dlmf.nist.gov/10.22.E75 10.22.E75] || [[Item:Q3450|<math>\begin{cases}-\dfrac{(abc)^{\nu}(-A)^{-\nu-\frac{1}{2}}}{\pi^{\frac{1}{2}}2^{\nu+1}\EulerGamma@{\frac{1}{2}-\nu}},&0 < a</math>]] || <code></code> || <code></code> || Error || Failure || - || Error  
 
| [https://dlmf.nist.gov/10.22.E75 10.22.E75] || [[Item:Q3450|<math>\begin{cases}-\dfrac{(abc)^{\nu}(-A)^{-\nu-\frac{1}{2}}}{\pi^{\frac{1}{2}}2^{\nu+1}\EulerGamma@{\frac{1}{2}-\nu}},&0 < a</math>]] || <code></code> || <code></code> || Error || Failure || - || Error  
 
|-
 
|-
| [https://dlmf.nist.gov/10.22.E75 10.22.E75] || [[Item:Q3450|<math>a < |b-c|,\\ 0,&|b-c|</math>]] || <code>a <abs(b - c), 0 ,</code> || <code>a <Abs[b - c], 0 ,</code> || Error || Failure || - || Skip
+
| [https://dlmf.nist.gov/10.22.E75 10.22.E75] || [[Item:Q3450|<math>a < |b-c|,\\ 0,&|b-c|</math>]] || <code>a <abs(b - c), 0 ,</code> || <code>a <Abs[b - c], 0 ,</code> || Error || Failure || - || -
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.23.E3 10.23.E3] || [[Item:Q3455|<math>\BesselJ{0}^{2}@{z}+2\sum_{k=1}^{\infty}\BesselJ{k}^{2}@{z} = 1</math>]] || <code>(BesselJ(0, z))^(2)+ 2*sum((BesselJ(k, z))^(2), k = 1..infinity)= 1</code> || <code>(BesselJ[0, z])^(2)+ 2*Sum[(BesselJ[k, z])^(2), {k, 1, Infinity}]= 1</code> || Failure || Successful || Skip || -  
 
| [https://dlmf.nist.gov/10.23.E3 10.23.E3] || [[Item:Q3455|<math>\BesselJ{0}^{2}@{z}+2\sum_{k=1}^{\infty}\BesselJ{k}^{2}@{z} = 1</math>]] || <code>(BesselJ(0, z))^(2)+ 2*sum((BesselJ(k, z))^(2), k = 1..infinity)= 1</code> || <code>(BesselJ[0, z])^(2)+ 2*Sum[(BesselJ[k, z])^(2), {k, 1, Infinity}]= 1</code> || Failure || Successful || Skip || -  
 
|-
 
|-
| [https://dlmf.nist.gov/10.23.E4 10.23.E4] || [[Item:Q3456|<math>\sum_{k=0}^{2n}(-1)^{k}\BesselJ{k}@{z}\BesselJ{2n-k}@{z}\\ +2\sum_{k=1}^{\infty}\BesselJ{k}@{z}\BesselJ{2n+k}@{z} = 0</math>]] || <code>sum((- 1)^(k)* BesselJ(k, z)*BesselJ(2*n - k, z), k = 0..2*n)+ 2*sum(BesselJ(k, z)*BesselJ(2*n + k, z), k = 1..infinity)= 0</code> || <code>Sum[(- 1)^(k)* BesselJ[k, z]*BesselJ[2*n - k, z], {k, 0, 2*n}]+ 2*Sum[BesselJ[k, z]*BesselJ[2*n + k, z], {k, 1, Infinity}]= 0</code> || Failure || Failure || Skip || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[4.242640687119286, 4.242640687119286] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[4.242640687119286, 1.4142135623730951] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.4142135623730951, 1.4142135623730951] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.4142135623730951, 4.242640687119286] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[4.242640687119286, -1.4142135623730951] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[4.242640687119286, -4.242640687119286] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.4142135623730951, -4.242640687119286] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.4142135623730951, -1.4142135623730951] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, -1.4142135623730951] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, -4.242640687119286] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-4.242640687119286, -4.242640687119286] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-4.242640687119286, -1.4142135623730951] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, 4.242640687119286] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.4142135623730951, 1.4142135623730951] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-4.242640687119286, 1.4142135623730951] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-4.242640687119286, 4.242640687119286] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.23.E4 10.23.E4] || [[Item:Q3456|<math>\sum_{k=0}^{2n}(-1)^{k}\BesselJ{k}@{z}\BesselJ{2n-k}@{z}\\ +2\sum_{k=1}^{\infty}\BesselJ{k}@{z}\BesselJ{2n+k}@{z} = 0</math>]] || <code>sum((- 1)^(k)* BesselJ(k, z)*BesselJ(2*n - k, z), k = 0..2*n)+ 2*sum(BesselJ(k, z)*BesselJ(2*n + k, z), k = 1..infinity)= 0</code> || <code>Sum[(- 1)^(k)* BesselJ[k, z]*BesselJ[2*n - k, z], {k, 0, 2*n}]+ 2*Sum[BesselJ[k, z]*BesselJ[2*n + k, z], {k, 1, Infinity}]= 0</code> || Failure || Failure || Skip || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[4.242640687119286, 4.242640687119286] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[4.242640687119286, 1.4142135623730951] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.4142135623730951, 1.4142135623730951] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.4142135623730951, 4.242640687119286] <- {Rule[n, 3], Rule[Sum[Times[BesselJ[k, z], BesselJ[Plus[k, Times[2, n]], z]], {k, 1, DirectedInfinity[1]}], Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[DifferenceRoot[Function[{, }, {Equal[Plus[Times[-1, Plus[-5, Times[-2, ], Times[2, n]], Power[z, 2], []], Times[Plus[-20, Times[-48, ], Times[-36, Power[, 2]], Times[-8, Power[, 3]], Times[48, n], Times[72, , n], Times[24, Power[, 2], n], Times[-16, Power[n, 2]], Times[-16, , Power[n, 2]], Times[-7, Power[z, 2]], Times[-2, , Power[z, 2]], Times[2, n, Power[z, 2]]], [Plus[1, ]]], Times[-2, Plus[-3, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[2, ]]], Times[2, Plus[-5, Times[-2, ], Times[2, n]], Plus[22, Times[24, ], Times[6, Power[, 2]], Times[-24, n], Times[-12, , n], Times[8, Power[n, 2]], Times[-1, Power[z, 2]]], [Plus[3, ]]], Times[Plus[108, Times[144, ], Times[60, Power[, 2]], Times[8, Power[, 3]], Times[-144, n], Times[-120, , n], Times[-24, Power[, 2], n], Times[48, Power[n, 2]], Times[16, , Power[n, 2]], Power[z, 2], Times[2, , Power[z, 2]], Times[-2, n, Power[z, 2]]], [Plus[4, ]]], Times[Plus[-3, Times[-2, ], Times[2, n]], Power[z, 2], [Plus[5, ]]]], 0], Equal[[0], 0], Equal[[1], Times[BesselJ[0, z], BesselJ[Times[2, n], z]]], Equal[[2], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]]]], Equal[[3], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]], Equal[[4], Plus[Times[BesselJ[0, z], BesselJ[Times[2, n], z]], Times[-1, BesselJ[1, z], BesselJ[Plus[-1, Times[2, n]], z]], Times[Power[z, -2], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[Power[z, -2], Plus[Times[z, BesselJ[1, z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[0, z]], Times[2, BesselJ[1, z]]]]], Plus[Times[-1, z, BesselJ[Plus[-1, Times[2, n]], z]], Times[-4, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]], Times[4, n, Power[z, -1], Plus[Times[-1, z, BesselJ[Times[2, n], z]], Times[-2, BesselJ[Plus[-1, Times[2, n]], z]], Times[4, n, BesselJ[Plus[-1, Times[2, n]], z]]]]]]]]}]][Plus[1, Times[2, n]]], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
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| [https://dlmf.nist.gov/10.23.E5 10.23.E5] || [[Item:Q3457|<math>\sum_{k=0}^{n}\BesselJ{k}@{z}\BesselJ{n-k}@{z}+2\sum_{k=1}^{\infty}(-1)^{k}\BesselJ{k}@{z}\BesselJ{n+k}@{z} = \BesselJ{n}@{2z}</math>]] || <code>sum(BesselJ(k, z)*BesselJ(n - k, z), k = 0..n)+ 2*sum((- 1)^(k)* BesselJ(k, z)*BesselJ(n + k, z), k = 1..infinity)= BesselJ(n, 2*z)</code> || <code>Sum[BesselJ[k, z]*BesselJ[n - k, z], {k, 0, n}]+ 2*Sum[(- 1)^(k)* BesselJ[k, z]*BesselJ[n + k, z], {k, 1, Infinity}]= BesselJ[n, 2*z]</code> || Failure || Failure || Skip || Skip  
 
| [https://dlmf.nist.gov/10.23.E5 10.23.E5] || [[Item:Q3457|<math>\sum_{k=0}^{n}\BesselJ{k}@{z}\BesselJ{n-k}@{z}+2\sum_{k=1}^{\infty}(-1)^{k}\BesselJ{k}@{z}\BesselJ{n+k}@{z} = \BesselJ{n}@{2z}</math>]] || <code>sum(BesselJ(k, z)*BesselJ(n - k, z), k = 0..n)+ 2*sum((- 1)^(k)* BesselJ(k, z)*BesselJ(n + k, z), k = 1..infinity)= BesselJ(n, 2*z)</code> || <code>Sum[BesselJ[k, z]*BesselJ[n - k, z], {k, 0, n}]+ 2*Sum[(- 1)^(k)* BesselJ[k, z]*BesselJ[n + k, z], {k, 1, Infinity}]= BesselJ[n, 2*z]</code> || Failure || Failure || Skip || Skip  
 
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|-
| [https://dlmf.nist.gov/10.23#Ex1 10.23#Ex1] || [[Item:Q3458|<math>w = \sqrt{u^{2}+v^{2}-2uv\cos@@{\alpha}}</math>]] || <code>w =sqrt((u)^(2)+ (v)^(2)- 2*u*v*cos(alpha))</code> || <code>w =Sqrt[(u)^(2)+ (v)^(2)- 2*u*v*Cos[\[Alpha]]]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>.7483404465-2.552464124*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.7483404465-5.380891248*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678-5.380891248*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678-2.552464124*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529-1.606391847*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529-4.434818971*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653-4.434818971*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653-1.606391847*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-2.706718545+.113853393*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-2.706718545-2.714573731*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.535145669-2.714573731*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.535145669+.113853393*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847+3.945352653*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847+1.116925529*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971+1.116925529*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971+3.945352653*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529-1.606391847*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529-4.434818971*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653-4.434818971*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653-1.606391847*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-2.552464124+2.080086678*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-2.552464124-.7483404465*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.380891248-.7483404465*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.380891248+2.080086678*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847+3.945352653*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847+1.116925529*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971+1.116925529*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971+3.945352653*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.113853393+5.535145669*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.113853393+2.706718545*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.714573731+2.706718545*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.714573731+5.535145669*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-2.706718545+.113853393*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-2.706718545-2.714573731*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.535145669-2.714573731*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.535145669+.113853393*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847+3.945352653*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847+1.116925529*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971+1.116925529*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971+3.945352653*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.7483404465-2.552464124*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.7483404465-5.380891248*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678-5.380891248*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678-2.552464124*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529-1.606391847*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529-4.434818971*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653-4.434818971*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653-1.606391847*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847+3.945352653*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847+1.116925529*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971+1.116925529*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971+3.945352653*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.113853393+5.535145669*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.113853393+2.706718545*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.714573731+2.706718545*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.714573731+5.535145669*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529-1.606391847*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529-4.434818971*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653-4.434818971*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653-1.606391847*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-2.552464124+2.080086678*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-2.552464124-.7483404465*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.380891248-.7483404465*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.380891248+2.080086678*I <- {alpha = 2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-2.552464124+.7483404465*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-2.552464124-2.080086678*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.380891248-2.080086678*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.380891248+.7483404465*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529+4.434818971*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529+1.606391847*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653+1.606391847*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653+4.434818971*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.113853393-2.706718545*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.113853393-5.535145669*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.714573731-5.535145669*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.714573731-2.706718545*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847-1.116925529*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847-3.945352653*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971-3.945352653*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971-1.116925529*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529+4.434818971*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529+1.606391847*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653+1.606391847*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653+4.434818971*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.7483404465+5.380891248*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.7483404465+2.552464124*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678+2.552464124*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678+5.380891248*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847-1.116925529*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847-3.945352653*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971-3.945352653*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971-1.116925529*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-2.706718545+2.714573731*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-2.706718545-.113853393*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.535145669-.113853393*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.535145669+2.714573731*I <- {alpha = 2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.113853393-2.706718545*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.113853393-5.535145669*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.714573731-5.535145669*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.714573731-2.706718545*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847-1.116925529*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847-3.945352653*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971-3.945352653*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971-1.116925529*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-2.552464124+.7483404465*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-2.552464124-2.080086678*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.380891248-2.080086678*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.380891248+.7483404465*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529+4.434818971*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529+1.606391847*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653+1.606391847*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653+4.434818971*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847-1.116925529*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847-3.945352653*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971-3.945352653*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971-1.116925529*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-2.706718545+2.714573731*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-2.706718545-.113853393*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.535145669-.113853393*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.535145669+2.714573731*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529+4.434818971*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529+1.606391847*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653+1.606391847*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653+4.434818971*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.7483404465+5.380891248*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.7483404465+2.552464124*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678+2.552464124*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678+5.380891248*I <- {alpha = 2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.7483404465-2.552464124*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.7483404465-5.380891248*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678-5.380891248*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678-2.552464124*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529-1.606391847*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529-4.434818971*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653-4.434818971*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653-1.606391847*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-2.706718545+.113853393*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-2.706718545-2.714573731*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.535145669-2.714573731*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.535145669+.113853393*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847+3.945352653*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847+1.116925529*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971+1.116925529*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971+3.945352653*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529-1.606391847*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529-4.434818971*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653-4.434818971*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653-1.606391847*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-2.552464124+2.080086678*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-2.552464124-.7483404465*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.380891248-.7483404465*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.380891248+2.080086678*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847+3.945352653*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847+1.116925529*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971+1.116925529*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971+3.945352653*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.113853393+5.535145669*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.113853393+2.706718545*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.714573731+2.706718545*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.714573731+5.535145669*I <- {alpha = -2^(1/2)-I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-2.706718545+.113853393*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-2.706718545-2.714573731*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.535145669-2.714573731*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.535145669+.113853393*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847+3.945352653*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847+1.116925529*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971+1.116925529*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971+3.945352653*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.7483404465-2.552464124*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.7483404465-5.380891248*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678-5.380891248*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678-2.552464124*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529-1.606391847*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529-4.434818971*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653-4.434818971*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653-1.606391847*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847+3.945352653*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847+1.116925529*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971+1.116925529*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971+3.945352653*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.113853393+5.535145669*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.113853393+2.706718545*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.714573731+2.706718545*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.714573731+5.535145669*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529-1.606391847*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529-4.434818971*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653-4.434818971*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653-1.606391847*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-2.552464124+2.080086678*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-2.552464124-.7483404465*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.380891248-.7483404465*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.380891248+2.080086678*I <- {alpha = -2^(1/2)-I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-2.552464124+.7483404465*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-2.552464124-2.080086678*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.380891248-2.080086678*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.380891248+.7483404465*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529+4.434818971*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529+1.606391847*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653+1.606391847*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653+4.434818971*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.113853393-2.706718545*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.113853393-5.535145669*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.714573731-5.535145669*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.714573731-2.706718545*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847-1.116925529*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847-3.945352653*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971-3.945352653*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971-1.116925529*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529+4.434818971*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529+1.606391847*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653+1.606391847*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653+4.434818971*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.7483404465+5.380891248*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.7483404465+2.552464124*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678+2.552464124*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678+5.380891248*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847-1.116925529*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847-3.945352653*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971-3.945352653*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971-1.116925529*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-2.706718545+2.714573731*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-2.706718545-.113853393*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.535145669-.113853393*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.535145669+2.714573731*I <- {alpha = -2^(1/2)+I*2^(1/2), u = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.113853393-2.706718545*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.113853393-5.535145669*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.714573731-5.535145669*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.714573731-2.706718545*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847-1.116925529*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847-3.945352653*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971-3.945352653*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971-1.116925529*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-2.552464124+.7483404465*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-2.552464124-2.080086678*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.380891248-2.080086678*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.380891248+.7483404465*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529+4.434818971*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529+1.606391847*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653+1.606391847*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653+4.434818971*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847-1.116925529*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.606391847-3.945352653*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971-3.945352653*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-4.434818971-1.116925529*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-2.706718545+2.714573731*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-2.706718545-.113853393*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.535145669-.113853393*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.535145669+2.714573731*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529+4.434818971*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.116925529+1.606391847*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653+1.606391847*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-3.945352653+4.434818971*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.7483404465+5.380891248*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.7483404465+2.552464124*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678+2.552464124*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678+5.380891248*I <- {alpha = -2^(1/2)+I*2^(1/2), u = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br></div></div> || Skip  
+
| [https://dlmf.nist.gov/10.23#Ex1 10.23#Ex1] || [[Item:Q3458|<math>w = \sqrt{u^{2}+v^{2}-2uv\cos@@{\alpha}}</math>]] || <code>w =sqrt((u)^(2)+ (v)^(2)- 2*u*v*cos(alpha))</code> || <code>w =Sqrt[(u)^(2)+ (v)^(2)- 2*u*v*Cos[\[Alpha]]]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>.7483404465-2.552464124*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.7483404465-5.380891248*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678-5.380891248*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-2.080086678-2.552464124*I <- {alpha = 2^(1/2)+I*2^(1/2), u = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || Skip  
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.23#Ex2 10.23#Ex2] || [[Item:Q3459|<math>u-v\cos@@{\alpha} = w\cos@@{\chi}</math>]] || <code>u - v*cos(alpha)= w*cos(chi)</code> || <code>u - v*Cos[\[Alpha]]= w*Cos[\[Chi]]</code> || Failure || Failure || Skip || Skip  
 
| [https://dlmf.nist.gov/10.23#Ex2 10.23#Ex2] || [[Item:Q3459|<math>u-v\cos@@{\alpha} = w\cos@@{\chi}</math>]] || <code>u - v*cos(alpha)= w*cos(chi)</code> || <code>u - v*Cos[\[Alpha]]= w*Cos[\[Chi]]</code> || Failure || Failure || Skip || Skip  
 
|-
 
|-
| [https://dlmf.nist.gov/10.23#Ex3 10.23#Ex3] || [[Item:Q3460|<math>v\sin@@{\alpha} = w\sin@@{\chi}</math>]] || <code>v*sin(alpha)= w*sin(chi)</code> || <code>v*Sin[\[Alpha]]= w*Sin[\[Chi]]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-.853510328+6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>5.231951152+6.938971808*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>6.085461480+.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.853510328-6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480+.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>6.938971808-5.231951152*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-5.231951152-6.938971808*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480-.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>.853510328-6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480-.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.938971808+5.231951152*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328+6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328+.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>0.+6.938971808*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>6.085461480+6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>5.231951152+0.*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>0.-5.231951152*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.853510328+.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>6.938971808+0.*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>6.085461480-6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480-6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-5.231951152+0.*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>.853510328-.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>0.-6.938971808*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-6.938971808+0.*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480+6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>0.+5.231951152*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328-.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>5.231951152+6.938971808*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480+.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328+6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480+.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>6.938971808-5.231951152*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>.853510328-6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>.853510328-6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.231951152-6.938971808*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.085461480-.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-.853510328+6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480-.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.938971808+5.231951152*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480+6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>5.231951152+0.*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328+.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>0.+6.938971808*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>6.938971808+0.*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480-6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>0.-5.231951152*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>.853510328+.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.853510328-.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>0.-6.938971808*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-6.085461480-6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.231951152+0.*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>0.+5.231951152*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-.853510328-.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-6.938971808+0.*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.085461480+6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.853510328-.853510328*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>0.+5.231951152*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>6.085461480+6.085461480*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>6.938971808+0.*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>0.-6.938971808*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-.853510328-.853510328*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>5.231951152+0.*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>6.085461480-6.085461480*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480-6.085461480*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.938971808+0.*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328+.853510328*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>0.-5.231951152*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-5.231951152+0.*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480+6.085461480*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>0.+6.938971808*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>.853510328+.853510328*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.853510328+6.085461480*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>6.938971808+5.231951152*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>6.085461480-.853510328*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-.853510328-6.085461480*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480-.853510328*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>5.231951152-6.938971808*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-6.938971808-5.231951152*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480+.853510328*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328-6.085461480*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480+.853510328*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-5.231951152+6.938971808*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>.853510328+6.085461480*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>6.085461480+6.085461480*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>6.938971808+0.*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>.853510328-.853510328*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>0.+5.231951152*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>5.231951152+0.*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480-6.085461480*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>0.-6.938971808*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328-.853510328*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-.853510328+.853510328*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>0.-5.231951152*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-6.085461480-6.085461480*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.938971808+0.*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>0.+6.938971808*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.853510328+.853510328*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.231951152+0.*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.085461480+6.085461480*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>6.938971808+5.231951152*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480-.853510328*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>.853510328+6.085461480*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480-.853510328*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>5.231951152-6.938971808*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328-6.085461480*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328-6.085461480*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-6.938971808-5.231951152*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.085461480+.853510328*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.853510328+6.085461480*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480+.853510328*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.231951152+6.938971808*I <- {alpha = 2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-5.231951152-6.938971808*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480-.853510328*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>.853510328-6.085461480*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480-.853510328*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.938971808+5.231951152*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328+6.085461480*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328+6.085461480*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>5.231951152+6.938971808*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>6.085461480+.853510328*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.853510328-6.085461480*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480+.853510328*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>6.938971808-5.231951152*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480-6.085461480*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-5.231951152+0.*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>.853510328-.853510328*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>0.-6.938971808*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-6.938971808+0.*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480+6.085461480*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>0.+5.231951152*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328-.853510328*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-.853510328+.853510328*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>0.+6.938971808*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>6.085461480+6.085461480*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>5.231951152+0.*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>0.-5.231951152*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.853510328+.853510328*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>6.938971808+0.*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>6.085461480-6.085461480*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.853510328-6.085461480*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.231951152-6.938971808*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.085461480-.853510328*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-.853510328+6.085461480*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480-.853510328*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.938971808+5.231951152*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>5.231951152+6.938971808*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480+.853510328*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328+6.085461480*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480+.853510328*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>6.938971808-5.231951152*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>.853510328-6.085461480*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>.853510328-.853510328*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>0.-6.938971808*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-6.085461480-6.085461480*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.231951152+0.*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>0.+5.231951152*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-.853510328-.853510328*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-6.938971808+0.*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.085461480+6.085461480*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480+6.085461480*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>5.231951152+0.*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328+.853510328*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>0.+6.938971808*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>6.938971808+0.*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480-6.085461480*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>0.-5.231951152*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>.853510328+.853510328*I <- {alpha = -2^(1/2)-I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480-6.085461480*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.938971808+0.*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328+.853510328*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>0.-5.231951152*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-5.231951152+0.*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480+6.085461480*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>0.+6.938971808*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>.853510328+.853510328*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.853510328-.853510328*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>0.+5.231951152*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>6.085461480+6.085461480*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>6.938971808+0.*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>0.-6.938971808*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-.853510328-.853510328*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>5.231951152+0.*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>6.085461480-6.085461480*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-6.938971808-5.231951152*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480+.853510328*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328-6.085461480*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480+.853510328*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-5.231951152+6.938971808*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>.853510328+6.085461480*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>.853510328+6.085461480*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>6.938971808+5.231951152*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>6.085461480-.853510328*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-.853510328-6.085461480*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480-.853510328*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>5.231951152-6.938971808*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = 2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-.853510328+.853510328*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>0.-5.231951152*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-6.085461480-6.085461480*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.938971808+0.*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>0.+6.938971808*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>.853510328+.853510328*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-5.231951152+0.*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.085461480+6.085461480*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480+6.085461480*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>6.938971808+0.*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>.853510328-.853510328*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>0.+5.231951152*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>5.231951152+0.*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480-6.085461480*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>0.-6.938971808*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328-.853510328*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)-I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>-.853510328-6.085461480*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-6.938971808-5.231951152*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.085461480+.853510328*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.853510328+6.085461480*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.085461480+.853510328*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>-5.231951152+6.938971808*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>6.938971808+5.231951152*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480-.853510328*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>.853510328+6.085461480*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>6.085461480-.853510328*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br><code>5.231951152-6.938971808*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>-.853510328-6.085461480*I <- {alpha = -2^(1/2)+I*2^(1/2), chi = -2^(1/2)+I*2^(1/2), v = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, 6.938971811556771] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.938971811556771, 5.231951158402261] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.231951158402261, -6.938971811556771] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, -6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, -6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.938971811556771, -5.231951158402261] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, 6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 6.938971811556771] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, 0.0] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 5.231951158402261] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, 6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.938971811556771, 0.0] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, -0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, -0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.231951158402261, 0.0] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -6.938971811556771] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.938971811556771, 0.0] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, 0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -5.231951158402261] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, -6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, 6.938971811556771] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.938971811556771, 5.231951158402261] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.231951158402261, -6.938971811556771] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, -6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, -6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.938971811556771, -5.231951158402261] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, 0.0] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, 6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 6.938971811556771] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.938971811556771, 0.0] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, -0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 5.231951158402261] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, 6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -6.938971811556771] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, -0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.231951158402261, 0.0] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -5.231951158402261] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, -6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.938971811556771, 0.0] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, 0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -6.085461484979516] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -5.231951158402261] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 0.853510326577255] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.938971811556771, 0.0] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -6.938971811556771] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, -6.085461484979516] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, 0.0] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, -0.853510326577255] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, -0.853510326577255] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.938971811556771, 0.0] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, 6.085461484979516] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 5.231951158402261] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.231951158402261, 0.0] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, 0.853510326577255] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 6.938971811556771] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, 6.085461484979516] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.938971811556771, -5.231951158402261] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, -6.085461484979516] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, -6.085461484979516] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, -6.938971811556771] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.938971811556771, 5.231951158402261] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.231951158402261, 6.938971811556771] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 0.853510326577255] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.938971811556771, 0.0] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -6.085461484979516] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -5.231951158402261] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, 0.0] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, -0.853510326577255] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -6.938971811556771] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, -6.085461484979516] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, 6.085461484979516] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 5.231951158402261] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, -0.853510326577255] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.938971811556771, 0.0] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 6.938971811556771] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, 6.085461484979516] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.231951158402261, 0.0] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, 0.853510326577255] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.938971811556771, -5.231951158402261] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, -6.085461484979516] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, -6.085461484979516] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, -6.938971811556771] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.938971811556771, 5.231951158402261] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.231951158402261, 6.938971811556771] <- {Rule[v, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.231951158402261, -6.938971811556771] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, -6.085461484979516] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, -6.085461484979516] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.938971811556771, -5.231951158402261] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, 6.938971811556771] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.938971811556771, 5.231951158402261] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, -0.853510326577255] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.231951158402261, 0.0] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -6.085461484979516] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -6.938971811556771] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.938971811556771, 0.0] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, 0.853510326577255] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -5.231951158402261] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, -6.085461484979516] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, 6.085461484979516] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 6.938971811556771] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 0.853510326577255] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, 0.0] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 5.231951158402261] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, 6.085461484979516] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.938971811556771, 0.0] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, -0.853510326577255] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.231951158402261, -6.938971811556771] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, -6.085461484979516] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, -6.085461484979516] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.938971811556771, -5.231951158402261] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, 6.938971811556771] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.938971811556771, 5.231951158402261] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -6.085461484979516] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -6.938971811556771] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, -0.853510326577255] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.231951158402261, 0.0] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -5.231951158402261] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, -6.085461484979516] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.938971811556771, 0.0] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, 0.853510326577255] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 0.853510326577255] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, 0.0] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, 6.085461484979516] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 6.938971811556771] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.938971811556771, 0.0] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, -0.853510326577255] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 5.231951158402261] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, 6.085461484979516] <- {Rule[v, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, -0.853510326577255] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.938971811556771, 0.0] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, 6.085461484979516] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 5.231951158402261] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.231951158402261, 0.0] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, 0.853510326577255] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 6.938971811556771] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, 6.085461484979516] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -6.085461484979516] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -5.231951158402261] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 0.853510326577255] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.938971811556771, 0.0] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -6.938971811556771] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, -6.085461484979516] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, 0.0] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, -0.853510326577255] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.938971811556771, 5.231951158402261] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.231951158402261, 6.938971811556771] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.938971811556771, -5.231951158402261] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, -6.085461484979516] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, -6.085461484979516] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, -6.938971811556771] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, 6.085461484979516] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 5.231951158402261] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, -0.853510326577255] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.938971811556771, 0.0] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 6.938971811556771] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, 6.085461484979516] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.231951158402261, 0.0] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, 0.853510326577255] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 0.853510326577255] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.938971811556771, 0.0] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -6.085461484979516] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -5.231951158402261] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, 0.0] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, -0.853510326577255] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -6.938971811556771] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, -6.085461484979516] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.938971811556771, 5.231951158402261] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.231951158402261, 6.938971811556771] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.938971811556771, -5.231951158402261] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, -6.085461484979516] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, -6.085461484979516] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, -6.938971811556771] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.23#Ex3 10.23#Ex3] || [[Item:Q3460|<math>v\sin@@{\alpha} = w\sin@@{\chi}</math>]] || <code>v*sin(alpha)= w*sin(chi)</code> || <code>v*Sin[\[Alpha]]= w*Sin[\[Chi]]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-.853510328+6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2)}</code><br><code>5.231951152+6.938971808*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2)}</code><br><code>6.085461480+.853510328*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2)}</code><br><code>.853510328-6.085461480*I <- {alpha = 2^(1/2)+I*2^(1/2), chi = 2^(1/2)+I*2^(1/2), v = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-0.853510326577255, 0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5.231951158402261, 6.938971811556771] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.085461484979516, 6.085461484979516] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.853510326577255, -0.853510326577255] <- {Rule[v, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[α, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[χ, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.23.E9 10.23.E9] || [[Item:Q3463|<math>e^{iv\cos@@{\alpha}} = \frac{\EulerGamma@{\nu}}{(\tfrac{1}{2}v)^{\nu}}\*\sum_{k=0}^{\infty}(\nu+k)i^{k}\BesselJ{\nu+k}@{v}\ultrasphpoly{\nu}{k}@{\cos@@{\alpha}}</math>]] || <code>exp(I*v*cos(alpha))=(GAMMA(nu))/(((1)/(2)*v)^(nu))* sum((nu + k)* (I)^(k)* BesselJ(nu + k, v)*GegenbauerC(k, nu, cos(alpha)), k = 0..infinity)</code> || <code>Exp[I*v*Cos[\[Alpha]]]=Divide[Gamma[\[Nu]],(Divide[1,2]*v)^(\[Nu])]* Sum[(\[Nu]+ k)* (I)^(k)* BesselJ[\[Nu]+ k, v]*GegenbauerC[k, \[Nu], Cos[\[Alpha]]], {k, 0, Infinity}]</code> || Error || Failure || - || Skip  
 
| [https://dlmf.nist.gov/10.23.E9 10.23.E9] || [[Item:Q3463|<math>e^{iv\cos@@{\alpha}} = \frac{\EulerGamma@{\nu}}{(\tfrac{1}{2}v)^{\nu}}\*\sum_{k=0}^{\infty}(\nu+k)i^{k}\BesselJ{\nu+k}@{v}\ultrasphpoly{\nu}{k}@{\cos@@{\alpha}}</math>]] || <code>exp(I*v*cos(alpha))=(GAMMA(nu))/(((1)/(2)*v)^(nu))* sum((nu + k)* (I)^(k)* BesselJ(nu + k, v)*GegenbauerC(k, nu, cos(alpha)), k = 0..infinity)</code> || <code>Exp[I*v*Cos[\[Alpha]]]=Divide[Gamma[\[Nu]],(Divide[1,2]*v)^(\[Nu])]* Sum[(\[Nu]+ k)* (I)^(k)* BesselJ[\[Nu]+ k, v]*GegenbauerC[k, \[Nu], Cos[\[Alpha]]], {k, 0, Infinity}]</code> || Error || Failure || - || Skip  
Line 449: Line 449:
 
| [https://dlmf.nist.gov/10.23.E17 10.23.E17] || [[Item:Q3471|<math>\BesselY{n}@{z} = -\frac{n!(\tfrac{1}{2}z)^{-n}}{\pi}\sum_{k=0}^{n-1}\frac{(\tfrac{1}{2}z)^{k}\BesselJ{k}@{z}}{k!(n-k)}+\frac{2}{\pi}\left(\ln@{\tfrac{1}{2}z}-\digamma@{n+1}\right)\BesselJ{n}@{z}-\frac{2}{\pi}\sum_{k=1}^{\infty}(-1)^{k}\frac{(n+2k)\BesselJ{n+2k}@{z}}{k(n+k)}</math>]] || <code>BesselY(n, z)= -(factorial(n)*((1)/(2)*z)^(- n))/(Pi)*sum((((1)/(2)*z)^(k)* BesselJ(k, z))/(factorial(k)*(n - k)), k = 0..n - 1)+(2)/(Pi)*(ln((1)/(2)*z)- Psi(n + 1))* BesselJ(n, z)-(2)/(Pi)*sum((- 1)^(k)*((n + 2*k)* BesselJ(n + 2*k, z))/(k*(n + k)), k = 1..infinity)</code> || <code>BesselY[n, z]= -Divide[(n)!*(Divide[1,2]*z)^(- n),Pi]*Sum[Divide[(Divide[1,2]*z)^(k)* BesselJ[k, z],(k)!*(n - k)], {k, 0, n - 1}]+Divide[2,Pi]*(Log[Divide[1,2]*z]- PolyGamma[n + 1])* BesselJ[n, z]-Divide[2,Pi]*Sum[(- 1)^(k)*Divide[(n + 2*k)* BesselJ[n + 2*k, z],k*(n + k)], {k, 1, Infinity}]</code> || Failure || Failure || Skip || Successful  
 
| [https://dlmf.nist.gov/10.23.E17 10.23.E17] || [[Item:Q3471|<math>\BesselY{n}@{z} = -\frac{n!(\tfrac{1}{2}z)^{-n}}{\pi}\sum_{k=0}^{n-1}\frac{(\tfrac{1}{2}z)^{k}\BesselJ{k}@{z}}{k!(n-k)}+\frac{2}{\pi}\left(\ln@{\tfrac{1}{2}z}-\digamma@{n+1}\right)\BesselJ{n}@{z}-\frac{2}{\pi}\sum_{k=1}^{\infty}(-1)^{k}\frac{(n+2k)\BesselJ{n+2k}@{z}}{k(n+k)}</math>]] || <code>BesselY(n, z)= -(factorial(n)*((1)/(2)*z)^(- n))/(Pi)*sum((((1)/(2)*z)^(k)* BesselJ(k, z))/(factorial(k)*(n - k)), k = 0..n - 1)+(2)/(Pi)*(ln((1)/(2)*z)- Psi(n + 1))* BesselJ(n, z)-(2)/(Pi)*sum((- 1)^(k)*((n + 2*k)* BesselJ(n + 2*k, z))/(k*(n + k)), k = 1..infinity)</code> || <code>BesselY[n, z]= -Divide[(n)!*(Divide[1,2]*z)^(- n),Pi]*Sum[Divide[(Divide[1,2]*z)^(k)* BesselJ[k, z],(k)!*(n - k)], {k, 0, n - 1}]+Divide[2,Pi]*(Log[Divide[1,2]*z]- PolyGamma[n + 1])* BesselJ[n, z]-Divide[2,Pi]*Sum[(- 1)^(k)*Divide[(n + 2*k)* BesselJ[n + 2*k, z],k*(n + k)], {k, 1, Infinity}]</code> || Failure || Failure || Skip || Successful  
 
|-
 
|-
| [https://dlmf.nist.gov/10.24.E1 10.24.E1] || [[Item:Q3476|<math>x^{2}\deriv[2]{w}{x}+x\deriv{w}{x}+(x^{2}+\nu^{2})w = 0</math>]] || <code>(x)^(2)* diff(w, [x$(2)])+ x*diff(w, x)+((x)^(2)+ (nu)^(2))* w = 0</code> || <code>(x)^(2)* D[w, {x, 2}]+ x*D[w, x]+((x)^(2)+ (\[Nu])^(2))* w = 0</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-4.242640683+7.071067807*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), x = 1}</code><br><code>.2828427124e-8+11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), x = 2}</code><br><code>7.071067813+18.38477630*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), x = 3}</code><br><code>7.071067807+4.242640683*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), x = 1}</code><br><code>11.31370849-.2828427124e-8*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), x = 2}</code><br><code>18.38477630-7.071067813*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), x = 3}</code><br><code>4.242640683-7.071067807*I <- {nu = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2), x = 1}</code><br><code>-.2828427124e-8-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2), x = 2}</code><br><code>-7.071067813-18.38477630*I <- {nu = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2), x = 3}</code><br><code>-7.071067807-4.242640683*I <- {nu = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2), x = 1}</code><br><code>-11.31370849+.2828427124e-8*I <- {nu = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2), x = 2}</code><br><code>-18.38477630+7.071067813*I <- {nu = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2), x = 3}</code><br><code>7.071067807-4.242640683*I <- {nu = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2), x = 1}</code><br><code>11.31370849+.2828427124e-8*I <- {nu = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2), x = 2}</code><br><code>18.38477630+7.071067813*I <- {nu = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2), x = 3}</code><br><code>-4.242640683-7.071067807*I <- {nu = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2), x = 1}</code><br><code>.2828427124e-8-11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2), x = 2}</code><br><code>7.071067813-18.38477630*I <- {nu = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2), x = 3}</code><br><code>-7.071067807+4.242640683*I <- {nu = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2), x = 1}</code><br><code>-11.31370849-.2828427124e-8*I <- {nu = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2), x = 2}</code><br><code>-18.38477630-7.071067813*I <- {nu = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2), x = 3}</code><br><code>4.242640683+7.071067807*I <- {nu = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2), x = 1}</code><br><code>-.2828427124e-8+11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2), x = 2}</code><br><code>-7.071067813+18.38477630*I <- {nu = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2), x = 3}</code><br><code>-4.242640683+7.071067807*I <- {nu = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2), x = 1}</code><br><code>.2828427124e-8+11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2), x = 2}</code><br><code>7.071067813+18.38477630*I <- {nu = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2), x = 3}</code><br><code>7.071067807+4.242640683*I <- {nu = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2), x = 1}</code><br><code>11.31370849-.2828427124e-8*I <- {nu = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2), x = 2}</code><br><code>18.38477630-7.071067813*I <- {nu = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2), x = 3}</code><br><code>4.242640683-7.071067807*I <- {nu = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2), x = 1}</code><br><code>-.2828427124e-8-11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2), x = 2}</code><br><code>-7.071067813-18.38477630*I <- {nu = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2), x = 3}</code><br><code>-7.071067807-4.242640683*I <- {nu = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2), x = 1}</code><br><code>-11.31370849+.2828427124e-8*I <- {nu = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2), x = 2}</code><br><code>-18.38477630+7.071067813*I <- {nu = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2), x = 3}</code><br><code>7.071067807-4.242640683*I <- {nu = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), x = 1}</code><br><code>11.31370849+.2828427124e-8*I <- {nu = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), x = 2}</code><br><code>18.38477630+7.071067813*I <- {nu = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), x = 3}</code><br><code>-4.242640683-7.071067807*I <- {nu = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), x = 1}</code><br><code>.2828427124e-8-11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), x = 2}</code><br><code>7.071067813-18.38477630*I <- {nu = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), x = 3}</code><br><code>-7.071067807+4.242640683*I <- {nu = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2), x = 1}</code><br><code>-11.31370849-.2828427124e-8*I <- {nu = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2), x = 2}</code><br><code>-18.38477630-7.071067813*I <- {nu = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2), x = 3}</code><br><code>4.242640683+7.071067807*I <- {nu = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2), x = 1}</code><br><code>-.2828427124e-8+11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2), x = 2}</code><br><code>-7.071067813+18.38477630*I <- {nu = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2), x = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-4.242640687119286, 7.0710678118654755] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7.0710678118654755, 18.38477631085024] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7.0710678118654755, -4.242640687119286] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>11.313708498984761 <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[18.38477631085024, 7.0710678118654755] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-4.242640687119286, 7.0710678118654755] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7.0710678118654755, 18.38477631085024] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7.0710678118654755, -4.242640687119286] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>11.313708498984761 <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[18.38477631085024, 7.0710678118654755] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7.0710678118654755, 4.242640687119286] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>11.313708498984761 <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[18.38477631085024, -7.0710678118654755] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-4.242640687119286, -7.0710678118654755] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7.0710678118654755, -18.38477631085024] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7.0710678118654755, 4.242640687119286] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>11.313708498984761 <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[18.38477631085024, -7.0710678118654755] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-4.242640687119286, -7.0710678118654755] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7.0710678118654755, -18.38477631085024] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[4.242640687119286, -7.0710678118654755] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-7.0710678118654755, -18.38477631085024] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-7.0710678118654755, 4.242640687119286] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>-11.313708498984761 <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-18.38477631085024, -7.0710678118654755] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[4.242640687119286, -7.0710678118654755] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, -11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-7.0710678118654755, -18.38477631085024] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-7.0710678118654755, 4.242640687119286] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>-11.313708498984761 <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-18.38477631085024, -7.0710678118654755] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-7.0710678118654755, -4.242640687119286] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>-11.313708498984761 <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-18.38477631085024, 7.0710678118654755] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[4.242640687119286, 7.0710678118654755] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-7.0710678118654755, 18.38477631085024] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-7.0710678118654755, -4.242640687119286] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>-11.313708498984761 <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-18.38477631085024, 7.0710678118654755] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[4.242640687119286, 7.0710678118654755] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-7.0710678118654755, 18.38477631085024] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.24.E1 10.24.E1] || [[Item:Q3476|<math>x^{2}\deriv[2]{w}{x}+x\deriv{w}{x}+(x^{2}+\nu^{2})w = 0</math>]] || <code>(x)^(2)* diff(w, [x$(2)])+ x*diff(w, x)+((x)^(2)+ (nu)^(2))* w = 0</code> || <code>(x)^(2)* D[w, {x, 2}]+ x*D[w, x]+((x)^(2)+ (\[Nu])^(2))* w = 0</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-4.242640683+7.071067807*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), x = 1}</code><br><code>.2828427124e-8+11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), x = 2}</code><br><code>7.071067813+18.38477630*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), x = 3}</code><br><code>7.071067807+4.242640683*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), x = 1}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-4.242640687119286, 7.0710678118654755] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0, 11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[x, 2], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7.0710678118654755, 18.38477631085024] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[x, 3], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[7.0710678118654755, -4.242640687119286] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[x, 1], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.24#Ex1 10.24#Ex1] || [[Item:Q3477|<math>\BesselJimag{\nu}@{x} = \sech@{\tfrac{1}{2}\pi\nu}\realpart@@{(\BesselJ{i\nu}@{x})}</math>]] || <code>sech((1/2)*Pi*(nu))*Re(BesselJ(I*(nu), x))= sech((1)/(2)*Pi*nu)*Re(BesselJ(I*nu, x))</code> || <code>Sech[1/2 Pi \[Nu]] Re[BesselJ[I \[Nu], x]]= Sech[Divide[1,2]*Pi*\[Nu]]*Re[BesselJ[I*\[Nu], x]]</code> || Successful || Successful || - || -  
 
| [https://dlmf.nist.gov/10.24#Ex1 10.24#Ex1] || [[Item:Q3477|<math>\BesselJimag{\nu}@{x} = \sech@{\tfrac{1}{2}\pi\nu}\realpart@@{(\BesselJ{i\nu}@{x})}</math>]] || <code>sech((1/2)*Pi*(nu))*Re(BesselJ(I*(nu), x))= sech((1)/(2)*Pi*nu)*Re(BesselJ(I*nu, x))</code> || <code>Sech[1/2 Pi \[Nu]] Re[BesselJ[I \[Nu], x]]= Sech[Divide[1,2]*Pi*\[Nu]]*Re[BesselJ[I*\[Nu], x]]</code> || Successful || Successful || - || -  
Line 455: Line 455:
 
| [https://dlmf.nist.gov/10.24#Ex2 10.24#Ex2] || [[Item:Q3478|<math>\BesselYimag{\nu}@{x} = \sech@{\tfrac{1}{2}\pi\nu}\realpart@@{(\BesselY{i\nu}@{x})}</math>]] || <code>sech((1/2)*Pi*(nu))*Re(BesselY(I*(nu), x))= sech((1)/(2)*Pi*nu)*Re(BesselY(I*nu, x))</code> || <code>Sech[1/2 Pi \[Nu]] Re[BesselY[I \[Nu], x]]= Sech[Divide[1,2]*Pi*\[Nu]]*Re[BesselY[I*\[Nu], x]]</code> || Successful || Successful || - || -  
 
| [https://dlmf.nist.gov/10.24#Ex2 10.24#Ex2] || [[Item:Q3478|<math>\BesselYimag{\nu}@{x} = \sech@{\tfrac{1}{2}\pi\nu}\realpart@@{(\BesselY{i\nu}@{x})}</math>]] || <code>sech((1/2)*Pi*(nu))*Re(BesselY(I*(nu), x))= sech((1)/(2)*Pi*nu)*Re(BesselY(I*nu, x))</code> || <code>Sech[1/2 Pi \[Nu]] Re[BesselY[I \[Nu], x]]= Sech[Divide[1,2]*Pi*\[Nu]]*Re[BesselY[I*\[Nu], x]]</code> || Successful || Successful || - || -  
 
|-
 
|-
| [https://dlmf.nist.gov/10.24.E3 10.24.E3] || [[Item:Q3479|<math>\EulerGamma@{1+i\nu} = \left(\frac{\pi\nu}{\sinh@{\pi\nu}}\right)^{\frac{1}{2}}e^{i\gamma_{\nu}}</math>]] || <code>GAMMA(1 + I*nu)=((Pi*nu)/(sinh(Pi*nu)))^((1)/(2))* exp(I*gamma[nu])</code> || <code>Gamma[1 + I*\[Nu]]=(Divide[Pi*\[Nu],Sinh[Pi*\[Nu]]])^(Divide[1,2])* Exp[I*Subscript[\[Gamma], \[Nu]]]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-.7864250629e-1-.1325922997*I <- {nu = 2^(1/2)+I*2^(1/2), gamma[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.283131241-.7318661334*I <- {nu = 2^(1/2)+I*2^(1/2), gamma[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.737329775+.6511700055e-1*I <- {nu = 2^(1/2)+I*2^(1/2), gamma[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.2571691098-.8548601655e-1*I <- {nu = 2^(1/2)+I*2^(1/2), gamma[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.3012945616+.6626358387*I <- {nu = 2^(1/2)-I*2^(1/2), gamma[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.178866104+.5120328216*I <- {nu = 2^(1/2)-I*2^(1/2), gamma[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>1.841594912+1.309015956*I <- {nu = 2^(1/2)-I*2^(1/2), gamma[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>.4798211651+.7097421219*I <- {nu = 2^(1/2)-I*2^(1/2), gamma[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>.4798211651-.7097421219*I <- {nu = -2^(1/2)-I*2^(1/2), gamma[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.841594912-1.309015956*I <- {nu = -2^(1/2)-I*2^(1/2), gamma[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.178866104-.5120328216*I <- {nu = -2^(1/2)-I*2^(1/2), gamma[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>.3012945616-.6626358387*I <- {nu = -2^(1/2)-I*2^(1/2), gamma[nu] = -2^(1/2)+I*2^(1/2)}</code><br><code>-.2571691098+.8548601655e-1*I <- {nu = -2^(1/2)+I*2^(1/2), gamma[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>-1.737329775-.6511700055e-1*I <- {nu = -2^(1/2)+I*2^(1/2), gamma[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>1.283131241+.7318661334*I <- {nu = -2^(1/2)+I*2^(1/2), gamma[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.7864250629e-1+.1325922997*I <- {nu = -2^(1/2)+I*2^(1/2), gamma[nu] = -2^(1/2)+I*2^(1/2)}</code><br></div></div> || Successful  
+
| [https://dlmf.nist.gov/10.24.E3 10.24.E3] || [[Item:Q3479|<math>\EulerGamma@{1+i\nu} = \left(\frac{\pi\nu}{\sinh@{\pi\nu}}\right)^{\frac{1}{2}}e^{i\gamma_{\nu}}</math>]] || <code>GAMMA(1 + I*nu)=((Pi*nu)/(sinh(Pi*nu)))^((1)/(2))* exp(I*gamma[nu])</code> || <code>Gamma[1 + I*\[Nu]]=(Divide[Pi*\[Nu],Sinh[Pi*\[Nu]]])^(Divide[1,2])* Exp[I*Subscript[\[Gamma], \[Nu]]]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-.7864250629e-1-.1325922997*I <- {nu = 2^(1/2)+I*2^(1/2), gamma[nu] = 2^(1/2)+I*2^(1/2)}</code><br><code>1.283131241-.7318661334*I <- {nu = 2^(1/2)+I*2^(1/2), gamma[nu] = 2^(1/2)-I*2^(1/2)}</code><br><code>-1.737329775+.6511700055e-1*I <- {nu = 2^(1/2)+I*2^(1/2), gamma[nu] = -2^(1/2)-I*2^(1/2)}</code><br><code>-.2571691098-.8548601655e-1*I <- {nu = 2^(1/2)+I*2^(1/2), gamma[nu] = -2^(1/2)+I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || Successful  
 
|-
 
|-
| [https://dlmf.nist.gov/10.24#Ex3 10.24#Ex3] || [[Item:Q3480|<math>\BesselJimag{-\nu}@{x} = \BesselJimag{\nu}@{x}</math>]] || <code>sech((1/2)*Pi*(- nu))*Re(BesselJ(I*(- nu), x))= sech((1/2)*Pi*(nu))*Re(BesselJ(I*(nu), x))</code> || <code>Sech[1/2 Pi - \[Nu]] Re[BesselJ[I - \[Nu], x]]= Sech[1/2 Pi \[Nu]] Re[BesselJ[I \[Nu], x]]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-.4072055387-.5224985000*I <- {nu = 2^(1/2)+I*2^(1/2), x = 1}</code><br><code>-.9080795132-1.165185978*I <- {nu = 2^(1/2)+I*2^(1/2), x = 2}</code><br><code>-.3702824234-.4751212654*I <- {nu = 2^(1/2)+I*2^(1/2), x = 3}</code><br><code>.4072055387-.5224985000*I <- {nu = 2^(1/2)-I*2^(1/2), x = 1}</code><br><code>.9080795132-1.165185978*I <- {nu = 2^(1/2)-I*2^(1/2), x = 2}</code><br><code>.3702824234-.4751212654*I <- {nu = 2^(1/2)-I*2^(1/2), x = 3}</code><br><code>.4072055387+.5224985000*I <- {nu = -2^(1/2)-I*2^(1/2), x = 1}</code><br><code>.9080795132+1.165185978*I <- {nu = -2^(1/2)-I*2^(1/2), x = 2}</code><br><code>.3702824234+.4751212654*I <- {nu = -2^(1/2)-I*2^(1/2), x = 3}</code><br><code>-.4072055387+.5224985000*I <- {nu = -2^(1/2)+I*2^(1/2), x = 1}</code><br><code>-.9080795132+1.165185978*I <- {nu = -2^(1/2)+I*2^(1/2), x = 2}</code><br><code>-.3702824234+.4751212654*I <- {nu = -2^(1/2)+I*2^(1/2), x = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-5.717128116473797, -5.753336678220267] <- {Rule[x, 1], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.18027157410826, -3.3753924459653097] <- {Rule[x, 2], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.3142029624806735, -0.37398699406023267] <- {Rule[x, 3], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[335.05864396153805, -329.61926001758485] <- {Rule[x, 1], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-86.72095073686356, 85.28977936418957] <- {Rule[x, 2], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-72.9015430191822, 71.6736106764768] <- {Rule[x, 3], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.037106355892311496, 0.05630366708661276] <- {Rule[x, 1], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.0750352400942096, 0.16430421879493193] <- {Rule[x, 2], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.19701266797287928, -0.07688106458993285] <- {Rule[x, 3], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.4267799452578652, 0.5766784582753469] <- {Rule[x, 1], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.8156031388331041, 1.1107930785391973] <- {Rule[x, 2], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.20858523467465015, 0.32944967068240405] <- {Rule[x, 3], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.24#Ex3 10.24#Ex3] || [[Item:Q3480|<math>\BesselJimag{-\nu}@{x} = \BesselJimag{\nu}@{x}</math>]] || <code>sech((1/2)*Pi*(- nu))*Re(BesselJ(I*(- nu), x))= sech((1/2)*Pi*(nu))*Re(BesselJ(I*(nu), x))</code> || <code>Sech[1/2 Pi - \[Nu]] Re[BesselJ[I - \[Nu], x]]= Sech[1/2 Pi \[Nu]] Re[BesselJ[I \[Nu], x]]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-.4072055387-.5224985000*I <- {nu = 2^(1/2)+I*2^(1/2), x = 1}</code><br><code>-.9080795132-1.165185978*I <- {nu = 2^(1/2)+I*2^(1/2), x = 2}</code><br><code>-.3702824234-.4751212654*I <- {nu = 2^(1/2)+I*2^(1/2), x = 3}</code><br><code>.4072055387-.5224985000*I <- {nu = 2^(1/2)-I*2^(1/2), x = 1}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-5.717128116473797, -5.753336678220267] <- {Rule[x, 1], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.18027157410826, -3.3753924459653097] <- {Rule[x, 2], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.3142029624806735, -0.37398699406023267] <- {Rule[x, 3], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[335.05864396153805, -329.61926001758485] <- {Rule[x, 1], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.24#Ex4 10.24#Ex4] || [[Item:Q3481|<math>\BesselYimag{-\nu}@{x} = \BesselYimag{\nu}@{x}</math>]] || <code>sech((1/2)*Pi*(- nu))*Re(BesselY(I*(- nu), x))= sech((1/2)*Pi*(nu))*Re(BesselY(I*(nu), x))</code> || <code>Sech[1/2 Pi - \[Nu]] Re[BesselY[I - \[Nu], x]]= Sech[1/2 Pi \[Nu]] Re[BesselY[I \[Nu], x]]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>1.996706293+2.562037949*I <- {nu = 2^(1/2)+I*2^(1/2), x = 1}</code><br><code>.9116896387e-1+.1169818245*I <- {nu = 2^(1/2)+I*2^(1/2), x = 2}</code><br><code>-.4855048259-.6229668292*I <- {nu = 2^(1/2)+I*2^(1/2), x = 3}</code><br><code>-1.996706293+2.562037949*I <- {nu = 2^(1/2)-I*2^(1/2), x = 1}</code><br><code>-.9116896387e-1+.1169818245*I <- {nu = 2^(1/2)-I*2^(1/2), x = 2}</code><br><code>.4855048259-.6229668292*I <- {nu = 2^(1/2)-I*2^(1/2), x = 3}</code><br><code>-1.996706293-2.562037949*I <- {nu = -2^(1/2)-I*2^(1/2), x = 1}</code><br><code>-.9116896387e-1-.1169818245*I <- {nu = -2^(1/2)-I*2^(1/2), x = 2}</code><br><code>.4855048259+.6229668292*I <- {nu = -2^(1/2)-I*2^(1/2), x = 3}</code><br><code>1.996706293-2.562037949*I <- {nu = -2^(1/2)+I*2^(1/2), x = 1}</code><br><code>.9116896387e-1-.1169818245*I <- {nu = -2^(1/2)+I*2^(1/2), x = 2}</code><br><code>-.4855048259+.6229668292*I <- {nu = -2^(1/2)+I*2^(1/2), x = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[3.2898455559215325, 3.8112807679993184] <- {Rule[x, 1], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.6593720309671711, -1.6388399049382785] <- {Rule[x, 2], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.5986068001960096, -2.7005355423537045] <- {Rule[x, 3], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[104.18379750674467, -102.47171282147995] <- {Rule[x, 1], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[107.27098204068722, -105.49811204326203] <- {Rule[x, 2], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-39.85516939825821, 39.20771592826685] <- {Rule[x, 3], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.06734933642317374, -0.1566006142443534] <- {Rule[x, 1], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.14805441444829442, 0.08005363457744996] <- {Rule[x, 2], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.02294835001933459, 0.17687511518056692] <- {Rule[x, 3], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.9044474369349909, -2.5624132709296368] <- {Rule[x, 1], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.027309698897954465, -0.010653667817537248] <- {Rule[x, 2], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.47908990759003006, 0.6311344674599463] <- {Rule[x, 3], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.24#Ex4 10.24#Ex4] || [[Item:Q3481|<math>\BesselYimag{-\nu}@{x} = \BesselYimag{\nu}@{x}</math>]] || <code>sech((1/2)*Pi*(- nu))*Re(BesselY(I*(- nu), x))= sech((1/2)*Pi*(nu))*Re(BesselY(I*(nu), x))</code> || <code>Sech[1/2 Pi - \[Nu]] Re[BesselY[I - \[Nu], x]]= Sech[1/2 Pi \[Nu]] Re[BesselY[I \[Nu], x]]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>1.996706293+2.562037949*I <- {nu = 2^(1/2)+I*2^(1/2), x = 1}</code><br><code>.9116896387e-1+.1169818245*I <- {nu = 2^(1/2)+I*2^(1/2), x = 2}</code><br><code>-.4855048259-.6229668292*I <- {nu = 2^(1/2)+I*2^(1/2), x = 3}</code><br><code>-1.996706293+2.562037949*I <- {nu = 2^(1/2)-I*2^(1/2), x = 1}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[3.2898455559215325, 3.8112807679993184] <- {Rule[x, 1], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.6593720309671711, -1.6388399049382785] <- {Rule[x, 2], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.5986068001960096, -2.7005355423537045] <- {Rule[x, 3], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[104.18379750674467, -102.47171282147995] <- {Rule[x, 1], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.24.E9 10.24.E9] || [[Item:Q3487|<math>\BesselYimag{0}@{x} = \BesselY{0}@{x}</math>]] || <code>sech((1/2)*Pi*(0))*Re(BesselY(I*(0), x))= BesselY(0, x)</code> || <code>Sech[1/2 Pi 0] Re[BesselY[I 0, x]]= BesselY[0, x]</code> || Failure || Failure || Successful || Successful  
 
| [https://dlmf.nist.gov/10.24.E9 10.24.E9] || [[Item:Q3487|<math>\BesselYimag{0}@{x} = \BesselY{0}@{x}</math>]] || <code>sech((1/2)*Pi*(0))*Re(BesselY(I*(0), x))= BesselY(0, x)</code> || <code>Sech[1/2 Pi 0] Re[BesselY[I 0, x]]= BesselY[0, x]</code> || Failure || Failure || Successful || Successful  
 
|-
 
|-
| [https://dlmf.nist.gov/10.25.E1 10.25.E1] || [[Item:Q3488|<math>z^{2}\deriv[2]{w}{z}+z\deriv{w}{z}-(z^{2}+\nu^{2})w = 0</math>]] || <code>(z)^(2)* diff(w, [z$(2)])+ z*diff(w, z)-((z)^(2)+ (nu)^(2))* w = 0</code> || <code>(z)^(2)* D[w, {z, 2}]+ z*D[w, z]-((z)^(2)+ (\[Nu])^(2))* w = 0</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>11.31370849-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>11.31370849-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849+11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849+11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>11.31370849+11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>11.31370849+11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849+11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849+11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>11.31370849+11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>11.31370849+11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>11.31370849-11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>11.31370849-11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = 2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>11.31370849-11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>11.31370849-11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849+11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849+11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>11.31370849+11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>11.31370849+11.31370849*I <- {nu = -2^(1/2)-I*2^(1/2), w = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849+11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849+11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>11.31370849+11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>11.31370849+11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>11.31370849-11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>11.31370849-11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = -2^(1/2)+I*2^(1/2), w = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.25.E1 10.25.E1] || [[Item:Q3488|<math>z^{2}\deriv[2]{w}{z}+z\deriv{w}{z}-(z^{2}+\nu^{2})w = 0</math>]] || <code>(z)^(2)* diff(w, [z$(2)])+ z*diff(w, z)-((z)^(2)+ (nu)^(2))* w = 0</code> || <code>(z)^(2)* D[w, {z, 2}]+ z*D[w, z]-((z)^(2)+ (\[Nu])^(2))* w = 0</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>11.31370849-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>11.31370849-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-11.31370849-11.31370849*I <- {nu = 2^(1/2)+I*2^(1/2), w = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.313708498984761, -11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.313708498984761, 11.313708498984761] <- {Rule[w, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
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| [https://dlmf.nist.gov/10.25.E2 10.25.E2] || [[Item:Q3489|<math>\modBesselI{\nu}@{z} = (\tfrac{1}{2}z)^{\nu}\sum_{k=0}^{\infty}\frac{(\tfrac{1}{4}z^{2})^{k}}{k!\EulerGamma@{\nu+k+1}}</math>]] || <code>BesselI(nu, z)=((1)/(2)*z)^(nu)* sum((((1)/(4)*(z)^(2))^(k))/(factorial(k)*GAMMA(nu + k + 1)), k = 0..infinity)</code> || <code>BesselI[\[Nu], z]=(Divide[1,2]*z)^(\[Nu])* Sum[Divide[(Divide[1,4]*(z)^(2))^(k),(k)!*Gamma[\[Nu]+ k + 1]], {k, 0, Infinity}]</code> || Successful || Successful || - || -  
 
| [https://dlmf.nist.gov/10.25.E2 10.25.E2] || [[Item:Q3489|<math>\modBesselI{\nu}@{z} = (\tfrac{1}{2}z)^{\nu}\sum_{k=0}^{\infty}\frac{(\tfrac{1}{4}z^{2})^{k}}{k!\EulerGamma@{\nu+k+1}}</math>]] || <code>BesselI(nu, z)=((1)/(2)*z)^(nu)* sum((((1)/(4)*(z)^(2))^(k))/(factorial(k)*GAMMA(nu + k + 1)), k = 0..infinity)</code> || <code>BesselI[\[Nu], z]=(Divide[1,2]*z)^(\[Nu])* Sum[Divide[(Divide[1,4]*(z)^(2))^(k),(k)!*Gamma[\[Nu]+ k + 1]], {k, 0, Infinity}]</code> || Successful || Successful || - || -  
Line 495: Line 495:
 
| [https://dlmf.nist.gov/10.27.E11 10.27.E11] || [[Item:Q3501|<math>\BesselY{\nu}@{z} = e^{-(\nu+1)\pi i/2}\modBesselI{\nu}@{ze^{+\pi i/2}}-(2/\pi)e^{+\nu\pi i/2}\modBesselK{\nu}@{ze^{+\pi i/2}}</math>]] || <code>BesselY(nu, z)= exp(-(nu + 1)* Pi*I/ 2)*BesselI(nu, z*exp(+ Pi*I/ 2))-(2/ Pi)* exp(+ nu*Pi*I/ 2)*BesselK(nu, z*exp(+ Pi*I/ 2))</code> || <code>BesselY[\[Nu], z]= Exp[-(\[Nu]+ 1)* Pi*I/ 2]*BesselI[\[Nu], z*Exp[+ Pi*I/ 2]]-(2/ Pi)* Exp[+ \[Nu]*Pi*I/ 2]*BesselK[\[Nu], z*Exp[+ Pi*I/ 2]]</code> || Failure || Failure || Error || Error  
 
| [https://dlmf.nist.gov/10.27.E11 10.27.E11] || [[Item:Q3501|<math>\BesselY{\nu}@{z} = e^{-(\nu+1)\pi i/2}\modBesselI{\nu}@{ze^{+\pi i/2}}-(2/\pi)e^{+\nu\pi i/2}\modBesselK{\nu}@{ze^{+\pi i/2}}</math>]] || <code>BesselY(nu, z)= exp(-(nu + 1)* Pi*I/ 2)*BesselI(nu, z*exp(+ Pi*I/ 2))-(2/ Pi)* exp(+ nu*Pi*I/ 2)*BesselK(nu, z*exp(+ Pi*I/ 2))</code> || <code>BesselY[\[Nu], z]= Exp[-(\[Nu]+ 1)* Pi*I/ 2]*BesselI[\[Nu], z*Exp[+ Pi*I/ 2]]-(2/ Pi)* Exp[+ \[Nu]*Pi*I/ 2]*BesselK[\[Nu], z*Exp[+ Pi*I/ 2]]</code> || Failure || Failure || Error || Error  
 
|-
 
|-
| [https://dlmf.nist.gov/10.28.E1 10.28.E1] || [[Item:Q3502|<math>\Wronskian@{\modBesselI{\nu}@{z},\modBesselI{-\nu}@{z}} = \modBesselI{\nu}@{z}\modBesselI{-\nu-1}@{z}-\modBesselI{\nu+1}@{z}\modBesselI{-\nu}@{z}</math>]] || <code>(BesselI(nu, z))*diff(BesselI(- nu, z), x)-diff(BesselI(nu, z), x)*(BesselI(- nu, z))= BesselI(nu, z)*BesselI(- nu - 1, z)- BesselI(nu + 1, z)*BesselI(- nu, z)</code> || <code>Wronskian[{BesselI[\[Nu], z], BesselI[- \[Nu], z]}, x]= BesselI[\[Nu], z]*BesselI[- \[Nu]- 1, z]- BesselI[\[Nu]+ 1, z]*BesselI[- \[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-11.77116916+6.676770606*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.676770612-11.77116916*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>11.77116916-6.676770609*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>6.676770609+11.77116916*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-6.676770612+11.77116916*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-11.77116916-6.676770606*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>6.676770609-11.77116916*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>11.77116916+6.676770609*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>11.77116917-6.676770613*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>6.676770613+11.77116916*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-11.77116916+6.676770610*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-6.676770612-11.77116917*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>6.676770613-11.77116916*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>11.77116917+6.676770613*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-6.676770612+11.77116917*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-11.77116916-6.676770610*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-11.771169167436858, 6.676770630088813] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.676770630088807, 11.771169167436854] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.771169167436858, -6.676770630088829] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.67677063008883, -11.771169167436856] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.676770630088807, -11.771169167436854] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.771169167436858, -6.676770630088813] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.67677063008883, 11.771169167436856] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.771169167436858, 6.676770630088829] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.771169167436856, -6.676770630088814] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.676770630088805, -11.771169167436854] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.771169167436858, 6.676770630088832] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.6767706300888285, 11.771169167436863] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.676770630088805, 11.771169167436854] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.771169167436856, 6.676770630088814] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.6767706300888285, -11.771169167436863] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-11.771169167436858, -6.676770630088832] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.28.E1 10.28.E1] || [[Item:Q3502|<math>\Wronskian@{\modBesselI{\nu}@{z},\modBesselI{-\nu}@{z}} = \modBesselI{\nu}@{z}\modBesselI{-\nu-1}@{z}-\modBesselI{\nu+1}@{z}\modBesselI{-\nu}@{z}</math>]] || <code>(BesselI(nu, z))*diff(BesselI(- nu, z), x)-diff(BesselI(nu, z), x)*(BesselI(- nu, z))= BesselI(nu, z)*BesselI(- nu - 1, z)- BesselI(nu + 1, z)*BesselI(- nu, z)</code> || <code>Wronskian[{BesselI[\[Nu], z], BesselI[- \[Nu], z]}, x]= BesselI[\[Nu], z]*BesselI[- \[Nu]- 1, z]- BesselI[\[Nu]+ 1, z]*BesselI[- \[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-11.77116916+6.676770606*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.676770612-11.77116916*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>11.77116916-6.676770609*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>6.676770609+11.77116916*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-11.771169167436858, 6.676770630088813] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.676770630088807, 11.771169167436854] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[11.771169167436858, -6.676770630088829] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.67677063008883, -11.771169167436856] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.28.E1 10.28.E1] || [[Item:Q3502|<math>\modBesselI{\nu}@{z}\modBesselI{-\nu-1}@{z}-\modBesselI{\nu+1}@{z}\modBesselI{-\nu}@{z} = -2\sin@{\nu\pi}/(\pi z)</math>]] || <code>BesselI(nu, z)*BesselI(- nu - 1, z)- BesselI(nu + 1, z)*BesselI(- nu, z)= - 2*sin(nu*Pi)/(Pi*z)</code> || <code>BesselI[\[Nu], z]*BesselI[- \[Nu]- 1, z]- BesselI[\[Nu]+ 1, z]*BesselI[- \[Nu], z]= - 2*Sin[\[Nu]*Pi]/(Pi*z)</code> || Failure || Successful || Successful || -  
 
| [https://dlmf.nist.gov/10.28.E1 10.28.E1] || [[Item:Q3502|<math>\modBesselI{\nu}@{z}\modBesselI{-\nu-1}@{z}-\modBesselI{\nu+1}@{z}\modBesselI{-\nu}@{z} = -2\sin@{\nu\pi}/(\pi z)</math>]] || <code>BesselI(nu, z)*BesselI(- nu - 1, z)- BesselI(nu + 1, z)*BesselI(- nu, z)= - 2*sin(nu*Pi)/(Pi*z)</code> || <code>BesselI[\[Nu], z]*BesselI[- \[Nu]- 1, z]- BesselI[\[Nu]+ 1, z]*BesselI[- \[Nu], z]= - 2*Sin[\[Nu]*Pi]/(Pi*z)</code> || Failure || Successful || Successful || -  
 
|-
 
|-
| [https://dlmf.nist.gov/10.28.E2 10.28.E2] || [[Item:Q3503|<math>\Wronskian@{\modBesselK{\nu}@{z},\modBesselI{\nu}@{z}} = \modBesselI{\nu}@{z}\modBesselK{\nu+1}@{z}+\modBesselI{\nu+1}@{z}\modBesselK{\nu}@{z}</math>]] || <code>(BesselK(nu, z))*diff(BesselI(nu, z), x)-diff(BesselK(nu, z), x)*(BesselI(nu, z))= BesselI(nu, z)*BesselK(nu + 1, z)+ BesselI(nu + 1, z)*BesselK(nu, z)</code> || <code>Wronskian[{BesselK[\[Nu], z], BesselI[\[Nu], z]}, x]= BesselI[\[Nu], z]*BesselK[\[Nu]+ 1, z]+ BesselI[\[Nu]+ 1, z]*BesselK[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-.3535533907+.3535533906*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-.3535533908-.3535533907*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>.353553388-.35355339*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>.3535533905+.3535533907*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-.3535533908+.3535533907*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-.3535533907-.3535533906*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>.3535533905-.3535533907*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>.353553388+.35355339*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-.3535533910+.353553390*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-.3535533907-.3535533907*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>.3535533906-.3535533907*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>.3535530+.353553*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-.3535533907+.3535533907*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-.3535533910-.353553390*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>.3535530-.353553*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>.3535533906+.3535533907*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-0.35355339059327384, 0.3535533905932732] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.35355339059327306, 0.3535533905932739] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.35355339059327395, 0.35355339059327373] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.3535533905932736, 0.3535533905932738] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.35355339059327306, -0.3535533905932739] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.35355339059327384, -0.3535533905932732] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.3535533905932736, -0.3535533905932738] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.35355339059327395, -0.35355339059327373] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.3535533905932784, -0.3535533905932766] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.3535533905932729, -0.35355339059327395] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.35355339059327384, -0.35355339059327373] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.35355339059265134, -0.35355339059447033] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.3535533905932729, 0.35355339059327395] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.3535533905932784, 0.3535533905932766] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.35355339059265134, 0.35355339059447033] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.35355339059327384, 0.35355339059327373] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.28.E2 10.28.E2] || [[Item:Q3503|<math>\Wronskian@{\modBesselK{\nu}@{z},\modBesselI{\nu}@{z}} = \modBesselI{\nu}@{z}\modBesselK{\nu+1}@{z}+\modBesselI{\nu+1}@{z}\modBesselK{\nu}@{z}</math>]] || <code>(BesselK(nu, z))*diff(BesselI(nu, z), x)-diff(BesselK(nu, z), x)*(BesselI(nu, z))= BesselI(nu, z)*BesselK(nu + 1, z)+ BesselI(nu + 1, z)*BesselK(nu, z)</code> || <code>Wronskian[{BesselK[\[Nu], z], BesselI[\[Nu], z]}, x]= BesselI[\[Nu], z]*BesselK[\[Nu]+ 1, z]+ BesselI[\[Nu]+ 1, z]*BesselK[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-.3535533907+.3535533906*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-.3535533908-.3535533907*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>.353553388-.35355339*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>.3535533905+.3535533907*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-0.35355339059327384, 0.3535533905932732] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.35355339059327306, 0.3535533905932739] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.35355339059327395, 0.35355339059327373] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.3535533905932736, 0.3535533905932738] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.28.E2 10.28.E2] || [[Item:Q3503|<math>\modBesselI{\nu}@{z}\modBesselK{\nu+1}@{z}+\modBesselI{\nu+1}@{z}\modBesselK{\nu}@{z} = 1/z</math>]] || <code>BesselI(nu, z)*BesselK(nu + 1, z)+ BesselI(nu + 1, z)*BesselK(nu, z)= 1/ z</code> || <code>BesselI[\[Nu], z]*BesselK[\[Nu]+ 1, z]+ BesselI[\[Nu]+ 1, z]*BesselK[\[Nu], z]= 1/ z</code> || Failure || Successful || Successful || -  
 
| [https://dlmf.nist.gov/10.28.E2 10.28.E2] || [[Item:Q3503|<math>\modBesselI{\nu}@{z}\modBesselK{\nu+1}@{z}+\modBesselI{\nu+1}@{z}\modBesselK{\nu}@{z} = 1/z</math>]] || <code>BesselI(nu, z)*BesselK(nu + 1, z)+ BesselI(nu + 1, z)*BesselK(nu, z)= 1/ z</code> || <code>BesselI[\[Nu], z]*BesselK[\[Nu]+ 1, z]+ BesselI[\[Nu]+ 1, z]*BesselK[\[Nu], z]= 1/ z</code> || Failure || Successful || Successful || -  
Line 513: Line 513:
 
| [https://dlmf.nist.gov/10.32.E1 10.32.E1] || [[Item:Q3521|<math>\modBesselI{0}@{z} = \frac{1}{\pi}\int_{0}^{\pi}e^{- z\cos@@{\theta}}\diff{\theta}</math>]] || <code>BesselI(0, z)=(1)/(Pi)*int(exp(- z*cos(theta)), theta = 0..Pi)</code> || <code>BesselI[0, z]=Divide[1,Pi]*Integrate[Exp[- z*Cos[\[Theta]]], {\[Theta], 0, Pi}]</code> || Successful || Successful || - || -  
 
| [https://dlmf.nist.gov/10.32.E1 10.32.E1] || [[Item:Q3521|<math>\modBesselI{0}@{z} = \frac{1}{\pi}\int_{0}^{\pi}e^{- z\cos@@{\theta}}\diff{\theta}</math>]] || <code>BesselI(0, z)=(1)/(Pi)*int(exp(- z*cos(theta)), theta = 0..Pi)</code> || <code>BesselI[0, z]=Divide[1,Pi]*Integrate[Exp[- z*Cos[\[Theta]]], {\[Theta], 0, Pi}]</code> || Successful || Successful || - || -  
 
|-
 
|-
| [https://dlmf.nist.gov/10.32.E1 10.32.E1] || [[Item:Q3521|<math>\frac{1}{\pi}\int_{0}^{\pi}e^{+ z\cos@@{\theta}}\diff{\theta} = \frac{1}{\pi}\int_{0}^{\pi}\cosh@{z\cos@@{\theta}}\diff{\theta}</math>]] || <code>(1)/(Pi)*int(exp(+ z*cos(theta)), theta = 0..Pi)=(1)/(Pi)*int(cosh(z*cos(theta)), theta = 0..Pi)</code> || <code>Divide[1,Pi]*Integrate[Exp[+ z*Cos[\[Theta]]], {\[Theta], 0, Pi}]=Divide[1,Pi]*Integrate[Cosh[z*Cos[\[Theta]]], {\[Theta], 0, Pi}]</code> || Failure || Failure || Skip || Skip
+
| [https://dlmf.nist.gov/10.32.E1 10.32.E1] || [[Item:Q3521|<math>\frac{1}{\pi}\int_{0}^{\pi}e^{+ z\cos@@{\theta}}\diff{\theta} = \frac{1}{\pi}\int_{0}^{\pi}\cosh@{z\cos@@{\theta}}\diff{\theta}</math>]] || <code>(1)/(Pi)*int(exp(+ z*cos(theta)), theta = 0..Pi)=(1)/(Pi)*int(cosh(z*cos(theta)), theta = 0..Pi)</code> || <code>Divide[1,Pi]*Integrate[Exp[+ z*Cos[\[Theta]]], {\[Theta], 0, Pi}]=Divide[1,Pi]*Integrate[Cosh[z*Cos[\[Theta]]], {\[Theta], 0, Pi}]</code> || Failure || Failure || Skip || Successful
 
|-
 
|-
| [https://dlmf.nist.gov/10.32.E1 10.32.E1] || [[Item:Q3521|<math>\frac{1}{\pi}\int_{0}^{\pi}e^{- z\cos@@{\theta}}\diff{\theta} = \frac{1}{\pi}\int_{0}^{\pi}\cosh@{z\cos@@{\theta}}\diff{\theta}</math>]] || <code>(1)/(Pi)*int(exp(- z*cos(theta)), theta = 0..Pi)=(1)/(Pi)*int(cosh(z*cos(theta)), theta = 0..Pi)</code> || <code>Divide[1,Pi]*Integrate[Exp[- z*Cos[\[Theta]]], {\[Theta], 0, Pi}]=Divide[1,Pi]*Integrate[Cosh[z*Cos[\[Theta]]], {\[Theta], 0, Pi}]</code> || Failure || Failure || Skip || Skip
+
| [https://dlmf.nist.gov/10.32.E1 10.32.E1] || [[Item:Q3521|<math>\frac{1}{\pi}\int_{0}^{\pi}e^{- z\cos@@{\theta}}\diff{\theta} = \frac{1}{\pi}\int_{0}^{\pi}\cosh@{z\cos@@{\theta}}\diff{\theta}</math>]] || <code>(1)/(Pi)*int(exp(- z*cos(theta)), theta = 0..Pi)=(1)/(Pi)*int(cosh(z*cos(theta)), theta = 0..Pi)</code> || <code>Divide[1,Pi]*Integrate[Exp[- z*Cos[\[Theta]]], {\[Theta], 0, Pi}]=Divide[1,Pi]*Integrate[Cosh[z*Cos[\[Theta]]], {\[Theta], 0, Pi}]</code> || Failure || Failure || Skip || Successful
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.32.E2 10.32.E2] || [[Item:Q3522|<math>\modBesselI{\nu}@{z} = \frac{(\frac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\frac{1}{2}}}\int_{0}^{\pi}e^{+ z\cos@@{\theta}}(\sin@@{\theta})^{2\nu}\diff{\theta}</math>]] || <code>BesselI(nu, z)=(((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int(exp(+ z*cos(theta))*(sin(theta))^(2*nu), theta = 0..Pi)</code> || <code>BesselI[\[Nu], z]=Divide[(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[Exp[+ z*Cos[\[Theta]]]*(Sin[\[Theta]])^(2*\[Nu]), {\[Theta], 0, Pi}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.32.E2 10.32.E2] || [[Item:Q3522|<math>\modBesselI{\nu}@{z} = \frac{(\frac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\frac{1}{2}}}\int_{0}^{\pi}e^{+ z\cos@@{\theta}}(\sin@@{\theta})^{2\nu}\diff{\theta}</math>]] || <code>BesselI(nu, z)=(((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int(exp(+ z*cos(theta))*(sin(theta))^(2*nu), theta = 0..Pi)</code> || <code>BesselI[\[Nu], z]=Divide[(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[Exp[+ z*Cos[\[Theta]]]*(Sin[\[Theta]])^(2*\[Nu]), {\[Theta], 0, Pi}]</code> || Failure || Failure || Skip || Error  
Line 521: Line 521:
 
| [https://dlmf.nist.gov/10.32.E2 10.32.E2] || [[Item:Q3522|<math>\modBesselI{\nu}@{z} = \frac{(\frac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\frac{1}{2}}}\int_{0}^{\pi}e^{- z\cos@@{\theta}}(\sin@@{\theta})^{2\nu}\diff{\theta}</math>]] || <code>BesselI(nu, z)=(((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int(exp(- z*cos(theta))*(sin(theta))^(2*nu), theta = 0..Pi)</code> || <code>BesselI[\[Nu], z]=Divide[(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[Exp[- z*Cos[\[Theta]]]*(Sin[\[Theta]])^(2*\[Nu]), {\[Theta], 0, Pi}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.32.E2 10.32.E2] || [[Item:Q3522|<math>\modBesselI{\nu}@{z} = \frac{(\frac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\frac{1}{2}}}\int_{0}^{\pi}e^{- z\cos@@{\theta}}(\sin@@{\theta})^{2\nu}\diff{\theta}</math>]] || <code>BesselI(nu, z)=(((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int(exp(- z*cos(theta))*(sin(theta))^(2*nu), theta = 0..Pi)</code> || <code>BesselI[\[Nu], z]=Divide[(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[Exp[- z*Cos[\[Theta]]]*(Sin[\[Theta]])^(2*\[Nu]), {\[Theta], 0, Pi}]</code> || Failure || Failure || Skip || Error  
 
|-
 
|-
| [https://dlmf.nist.gov/10.32.E2 10.32.E2] || [[Item:Q3522|<math>\frac{(\frac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\frac{1}{2}}}\int_{0}^{\pi}e^{+ z\cos@@{\theta}}(\sin@@{\theta})^{2\nu}\diff{\theta} = \frac{(\frac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\frac{1}{2}}}\int_{-1}^{1}(1-t^{2})^{\nu-\frac{1}{2}}e^{+ zt}\diff{t}</math>]] || <code>(((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int(exp(+ z*cos(theta))*(sin(theta))^(2*nu), theta = 0..Pi)=(((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int((1 - (t)^(2))^(nu -(1)/(2))* exp(+ z*t), t = - 1..1)</code> || <code>Divide[(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[Exp[+ z*Cos[\[Theta]]]*(Sin[\[Theta]])^(2*\[Nu]), {\[Theta], 0, Pi}]=Divide[(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[(1 - (t)^(2))^(\[Nu]-Divide[1,2])* Exp[+ z*t], {t, - 1, 1}]</code> || Failure || Failure || Skip || Skip
+
| [https://dlmf.nist.gov/10.32.E2 10.32.E2] || [[Item:Q3522|<math>\frac{(\frac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\frac{1}{2}}}\int_{0}^{\pi}e^{+ z\cos@@{\theta}}(\sin@@{\theta})^{2\nu}\diff{\theta} = \frac{(\frac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\frac{1}{2}}}\int_{-1}^{1}(1-t^{2})^{\nu-\frac{1}{2}}e^{+ zt}\diff{t}</math>]] || <code>(((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int(exp(+ z*cos(theta))*(sin(theta))^(2*nu), theta = 0..Pi)=(((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int((1 - (t)^(2))^(nu -(1)/(2))* exp(+ z*t), t = - 1..1)</code> || <code>Divide[(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[Exp[+ z*Cos[\[Theta]]]*(Sin[\[Theta]])^(2*\[Nu]), {\[Theta], 0, Pi}]=Divide[(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[(1 - (t)^(2))^(\[Nu]-Divide[1,2])* Exp[+ z*t], {t, - 1, 1}]</code> || Failure || Failure || Skip || Error
 
|-
 
|-
| [https://dlmf.nist.gov/10.32.E2 10.32.E2] || [[Item:Q3522|<math>\frac{(\frac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\frac{1}{2}}}\int_{0}^{\pi}e^{- z\cos@@{\theta}}(\sin@@{\theta})^{2\nu}\diff{\theta} = \frac{(\frac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\frac{1}{2}}}\int_{-1}^{1}(1-t^{2})^{\nu-\frac{1}{2}}e^{- zt}\diff{t}</math>]] || <code>(((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int(exp(- z*cos(theta))*(sin(theta))^(2*nu), theta = 0..Pi)=(((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int((1 - (t)^(2))^(nu -(1)/(2))* exp(- z*t), t = - 1..1)</code> || <code>Divide[(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[Exp[- z*Cos[\[Theta]]]*(Sin[\[Theta]])^(2*\[Nu]), {\[Theta], 0, Pi}]=Divide[(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[(1 - (t)^(2))^(\[Nu]-Divide[1,2])* Exp[- z*t], {t, - 1, 1}]</code> || Failure || Failure || Skip || Skip
+
| [https://dlmf.nist.gov/10.32.E2 10.32.E2] || [[Item:Q3522|<math>\frac{(\frac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\frac{1}{2}}}\int_{0}^{\pi}e^{- z\cos@@{\theta}}(\sin@@{\theta})^{2\nu}\diff{\theta} = \frac{(\frac{1}{2}z)^{\nu}}{\pi^{\frac{1}{2}}\EulerGamma@{\nu+\frac{1}{2}}}\int_{-1}^{1}(1-t^{2})^{\nu-\frac{1}{2}}e^{- zt}\diff{t}</math>]] || <code>(((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int(exp(- z*cos(theta))*(sin(theta))^(2*nu), theta = 0..Pi)=(((1)/(2)*z)^(nu))/((Pi)^((1)/(2))* GAMMA(nu +(1)/(2)))*int((1 - (t)^(2))^(nu -(1)/(2))* exp(- z*t), t = - 1..1)</code> || <code>Divide[(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[Exp[- z*Cos[\[Theta]]]*(Sin[\[Theta]])^(2*\[Nu]), {\[Theta], 0, Pi}]=Divide[(Divide[1,2]*z)^(\[Nu]),(Pi)^(Divide[1,2])* Gamma[\[Nu]+Divide[1,2]]]*Integrate[(1 - (t)^(2))^(\[Nu]-Divide[1,2])* Exp[- z*t], {t, - 1, 1}]</code> || Failure || Failure || Skip || Error
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.32.E3 10.32.E3] || [[Item:Q3523|<math>\modBesselI{n}@{z} = \frac{1}{\pi}\int_{0}^{\pi}e^{z\cos@@{\theta}}\cos@{n\theta}\diff{\theta}</math>]] || <code>BesselI(n, z)=(1)/(Pi)*int(exp(z*cos(theta))*cos(n*theta), theta = 0..Pi)</code> || <code>BesselI[n, z]=Divide[1,Pi]*Integrate[Exp[z*Cos[\[Theta]]]*Cos[n*\[Theta]], {\[Theta], 0, Pi}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.32.E3 10.32.E3] || [[Item:Q3523|<math>\modBesselI{n}@{z} = \frac{1}{\pi}\int_{0}^{\pi}e^{z\cos@@{\theta}}\cos@{n\theta}\diff{\theta}</math>]] || <code>BesselI(n, z)=(1)/(Pi)*int(exp(z*cos(theta))*cos(n*theta), theta = 0..Pi)</code> || <code>BesselI[n, z]=Divide[1,Pi]*Integrate[Exp[z*Cos[\[Theta]]]*Cos[n*\[Theta]], {\[Theta], 0, Pi}]</code> || Failure || Failure || Skip || Error  
Line 547: Line 547:
 
| [https://dlmf.nist.gov/10.32.E9 10.32.E9] || [[Item:Q3529|<math>\modBesselK{\nu}@{z} = \int_{0}^{\infty}e^{-z\cosh@@{t}}\cosh@{\nu t}\diff{t}</math>]] || <code>BesselK(nu, z)= int(exp(- z*cosh(t))*cosh(nu*t), t = 0..infinity)</code> || <code>BesselK[\[Nu], z]= Integrate[Exp[- z*Cosh[t]]*Cosh[\[Nu]*t], {t, 0, Infinity}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.32.E9 10.32.E9] || [[Item:Q3529|<math>\modBesselK{\nu}@{z} = \int_{0}^{\infty}e^{-z\cosh@@{t}}\cosh@{\nu t}\diff{t}</math>]] || <code>BesselK(nu, z)= int(exp(- z*cosh(t))*cosh(nu*t), t = 0..infinity)</code> || <code>BesselK[\[Nu], z]= Integrate[Exp[- z*Cosh[t]]*Cosh[\[Nu]*t], {t, 0, Infinity}]</code> || Failure || Failure || Skip || Error  
 
|-
 
|-
| [https://dlmf.nist.gov/10.32.E10 10.32.E10] || [[Item:Q3530|<math>\modBesselK{\nu}@{z} = \tfrac{1}{2}(\tfrac{1}{2}z)^{\nu}\int_{0}^{\infty}\exp@{-t-\frac{z^{2}}{4t}}\frac{\diff{t}}{t^{\nu+1}}</math>]] || <code>BesselK(nu, z)=(1)/(2)*((1)/(2)*z)^(nu)* int(exp(- t -((z)^(2))/(4*t))*(1)/((t)^(nu + 1)), t = 0..infinity)</code> || <code>BesselK[\[Nu], z]=Divide[1,2]*(Divide[1,2]*z)^(\[Nu])* Integrate[Exp[- t -Divide[(z)^(2),4*t]]*Divide[1,(t)^(\[Nu]+ 1)], {t, 0, Infinity}]</code> || Successful || Failure || - || Successful
+
| [https://dlmf.nist.gov/10.32.E10 10.32.E10] || [[Item:Q3530|<math>\modBesselK{\nu}@{z} = \tfrac{1}{2}(\tfrac{1}{2}z)^{\nu}\int_{0}^{\infty}\exp@{-t-\frac{z^{2}}{4t}}\frac{\diff{t}}{t^{\nu+1}}</math>]] || <code>BesselK(nu, z)=(1)/(2)*((1)/(2)*z)^(nu)* int(exp(- t -((z)^(2))/(4*t))*(1)/((t)^(nu + 1)), t = 0..infinity)</code> || <code>BesselK[\[Nu], z]=Divide[1,2]*(Divide[1,2]*z)^(\[Nu])* Integrate[Exp[- t -Divide[(z)^(2),4*t]]*Divide[1,(t)^(\[Nu]+ 1)], {t, 0, Infinity}]</code> || Successful || Failure || - || Skip
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.32.E11 10.32.E11] || [[Item:Q3531|<math>\modBesselK{\nu}@{xz} = \frac{\EulerGamma@{\nu+\frac{1}{2}}(2z)^{\nu}}{\pi^{\frac{1}{2}}x^{\nu}}\int_{0}^{\infty}\frac{\cos@{xt}\diff{t}}{(t^{2}+z^{2})^{\nu+\frac{1}{2}}}</math>]] || <code>BesselK(nu, x*z)=(GAMMA(nu +(1)/(2))*(2*z)^(nu))/((Pi)^((1)/(2))* (x)^(nu))*int((cos(x*t))/(((t)^(2)+ (z)^(2))^(nu +(1)/(2))), t = 0..infinity)</code> || <code>BesselK[\[Nu], x*z]=Divide[Gamma[\[Nu]+Divide[1,2]]*(2*z)^(\[Nu]),(Pi)^(Divide[1,2])* (x)^(\[Nu])]*Integrate[Divide[Cos[x*t],((t)^(2)+ (z)^(2))^(\[Nu]+Divide[1,2])], {t, 0, Infinity}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.32.E11 10.32.E11] || [[Item:Q3531|<math>\modBesselK{\nu}@{xz} = \frac{\EulerGamma@{\nu+\frac{1}{2}}(2z)^{\nu}}{\pi^{\frac{1}{2}}x^{\nu}}\int_{0}^{\infty}\frac{\cos@{xt}\diff{t}}{(t^{2}+z^{2})^{\nu+\frac{1}{2}}}</math>]] || <code>BesselK(nu, x*z)=(GAMMA(nu +(1)/(2))*(2*z)^(nu))/((Pi)^((1)/(2))* (x)^(nu))*int((cos(x*t))/(((t)^(2)+ (z)^(2))^(nu +(1)/(2))), t = 0..infinity)</code> || <code>BesselK[\[Nu], x*z]=Divide[Gamma[\[Nu]+Divide[1,2]]*(2*z)^(\[Nu]),(Pi)^(Divide[1,2])* (x)^(\[Nu])]*Integrate[Divide[Cos[x*t],((t)^(2)+ (z)^(2))^(\[Nu]+Divide[1,2])], {t, 0, Infinity}]</code> || Failure || Failure || Skip || Error  
 
|-
 
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| [https://dlmf.nist.gov/10.32.E12 10.32.E12] || [[Item:Q3532|<math>\modBesselI{\nu}@{z} = \frac{1}{2\pi i}\int_{\infty-i\pi}^{\infty+i\pi}e^{z\cosh@@{t}-\nu t}\diff{t}</math>]] || <code>BesselI(nu, z)=(1)/(2*Pi*I)*int(exp(z*cosh(t)- nu*t), t = infinity - I*Pi..infinity + I*Pi)</code> || <code>BesselI[\[Nu], z]=Divide[1,2*Pi*I]*Integrate[Exp[z*Cosh[t]- \[Nu]*t], {t, Infinity - I*Pi, Infinity + I*Pi}]</code> || Failure || Failure || Skip || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[0.47377882604348887, 0.17987673448701852] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.5712028891376235, 2.011728577446344] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.630703522037926, 7.3730343474306625] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.4462596814449855, 3.2604536086998377] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.5712028891376235, -2.011728577446344] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.47377882604348887, -0.17987673448701852] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.4462596814449855, -3.2604536086998377] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.630703522037926, -7.3730343474306625] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.32.E12 10.32.E12] || [[Item:Q3532|<math>\modBesselI{\nu}@{z} = \frac{1}{2\pi i}\int_{\infty-i\pi}^{\infty+i\pi}e^{z\cosh@@{t}-\nu t}\diff{t}</math>]] || <code>BesselI(nu, z)=(1)/(2*Pi*I)*int(exp(z*cosh(t)- nu*t), t = infinity - I*Pi..infinity + I*Pi)</code> || <code>BesselI[\[Nu], z]=Divide[1,2*Pi*I]*Integrate[Exp[z*Cosh[t]- \[Nu]*t], {t, Infinity - I*Pi, Infinity + I*Pi}]</code> || Failure || Failure || Skip || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[0.47377882604348887, 0.17987673448701852] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.5712028891376235, 2.011728577446344] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.630703522037926, 7.3730343474306625] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.4462596814449855, 3.2604536086998377] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
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| [https://dlmf.nist.gov/10.32.E13 10.32.E13] || [[Item:Q3533|<math>\modBesselK{\nu}@{z} = \frac{(\frac{1}{2}z)^{\nu}}{4\pi i}\int_{c-i\infty}^{c+i\infty}\EulerGamma@{t}\EulerGamma@{t-\nu}(\tfrac{1}{2}z)^{-2t}\diff{t}</math>]] || <code>BesselK(nu, z)=(((1)/(2)*z)^(nu))/(4*Pi*I)*int(GAMMA(t)*GAMMA(t - nu)*((1)/(2)*z)^(- 2*t), t = c - I*infinity..c + I*infinity)</code> || <code>BesselK[\[Nu], z]=Divide[(Divide[1,2]*z)^(\[Nu]),4*Pi*I]*Integrate[Gamma[t]*Gamma[t - \[Nu]]*(Divide[1,2]*z)^(- 2*t), {t, c - I*Infinity, c + I*Infinity}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.32.E13 10.32.E13] || [[Item:Q3533|<math>\modBesselK{\nu}@{z} = \frac{(\frac{1}{2}z)^{\nu}}{4\pi i}\int_{c-i\infty}^{c+i\infty}\EulerGamma@{t}\EulerGamma@{t-\nu}(\tfrac{1}{2}z)^{-2t}\diff{t}</math>]] || <code>BesselK(nu, z)=(((1)/(2)*z)^(nu))/(4*Pi*I)*int(GAMMA(t)*GAMMA(t - nu)*((1)/(2)*z)^(- 2*t), t = c - I*infinity..c + I*infinity)</code> || <code>BesselK[\[Nu], z]=Divide[(Divide[1,2]*z)^(\[Nu]),4*Pi*I]*Integrate[Gamma[t]*Gamma[t - \[Nu]]*(Divide[1,2]*z)^(- 2*t), {t, c - I*Infinity, c + I*Infinity}]</code> || Failure || Failure || Skip || Error  
Line 571: Line 571:
 
| [https://dlmf.nist.gov/10.32.E19 10.32.E19] || [[Item:Q3539|<math>\modBesselK{\mu}@{z}\modBesselK{\nu}@{z} = \frac{1}{8\pi i}\int_{c-i\infty}^{c+i\infty}\frac{\EulerGamma@{t+\frac{1}{2}\mu+\frac{1}{2}\nu}\EulerGamma@{t+\frac{1}{2}\mu-\frac{1}{2}\nu}\EulerGamma@{t-\frac{1}{2}\mu+\frac{1}{2}\nu}\EulerGamma@{t-\frac{1}{2}\mu-\frac{1}{2}\nu}}{\EulerGamma@{2t}}(\tfrac{1}{2}z)^{-2t}\diff{t}</math>]] || <code>BesselK(mu, z)*BesselK(nu, z)=(1)/(8*Pi*I)*int((GAMMA(t +(1)/(2)*mu +(1)/(2)*nu)*GAMMA(t +(1)/(2)*mu -(1)/(2)*nu)*GAMMA(t -(1)/(2)*mu +(1)/(2)*nu)*GAMMA(t -(1)/(2)*mu -(1)/(2)*nu))/(GAMMA(2*t))*((1)/(2)*z)^(- 2*t), t = c - I*infinity..c + I*infinity)</code> || <code>BesselK[\[Mu], z]*BesselK[\[Nu], z]=Divide[1,8*Pi*I]*Integrate[Divide[Gamma[t +Divide[1,2]*\[Mu]+Divide[1,2]*\[Nu]]*Gamma[t +Divide[1,2]*\[Mu]-Divide[1,2]*\[Nu]]*Gamma[t -Divide[1,2]*\[Mu]+Divide[1,2]*\[Nu]]*Gamma[t -Divide[1,2]*\[Mu]-Divide[1,2]*\[Nu]],Gamma[2*t]]*(Divide[1,2]*z)^(- 2*t), {t, c - I*Infinity, c + I*Infinity}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.32.E19 10.32.E19] || [[Item:Q3539|<math>\modBesselK{\mu}@{z}\modBesselK{\nu}@{z} = \frac{1}{8\pi i}\int_{c-i\infty}^{c+i\infty}\frac{\EulerGamma@{t+\frac{1}{2}\mu+\frac{1}{2}\nu}\EulerGamma@{t+\frac{1}{2}\mu-\frac{1}{2}\nu}\EulerGamma@{t-\frac{1}{2}\mu+\frac{1}{2}\nu}\EulerGamma@{t-\frac{1}{2}\mu-\frac{1}{2}\nu}}{\EulerGamma@{2t}}(\tfrac{1}{2}z)^{-2t}\diff{t}</math>]] || <code>BesselK(mu, z)*BesselK(nu, z)=(1)/(8*Pi*I)*int((GAMMA(t +(1)/(2)*mu +(1)/(2)*nu)*GAMMA(t +(1)/(2)*mu -(1)/(2)*nu)*GAMMA(t -(1)/(2)*mu +(1)/(2)*nu)*GAMMA(t -(1)/(2)*mu -(1)/(2)*nu))/(GAMMA(2*t))*((1)/(2)*z)^(- 2*t), t = c - I*infinity..c + I*infinity)</code> || <code>BesselK[\[Mu], z]*BesselK[\[Nu], z]=Divide[1,8*Pi*I]*Integrate[Divide[Gamma[t +Divide[1,2]*\[Mu]+Divide[1,2]*\[Nu]]*Gamma[t +Divide[1,2]*\[Mu]-Divide[1,2]*\[Nu]]*Gamma[t -Divide[1,2]*\[Mu]+Divide[1,2]*\[Nu]]*Gamma[t -Divide[1,2]*\[Mu]-Divide[1,2]*\[Nu]],Gamma[2*t]]*(Divide[1,2]*z)^(- 2*t), {t, c - I*Infinity, c + I*Infinity}]</code> || Failure || Failure || Skip || Error  
 
|-
 
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| [https://dlmf.nist.gov/10.34.E1 10.34.E1] || [[Item:Q3542|<math>\modBesselI{\nu}@{ze^{m\pi i}} = e^{m\nu\pi i}\modBesselI{\nu}@{z}</math>]] || <code>BesselI(nu, z*exp(m*Pi*I))= exp(m*nu*Pi*I)*BesselI(nu, z)</code> || <code>BesselI[\[Nu], z*Exp[m*Pi*I]]= Exp[m*\[Nu]*Pi*I]*BesselI[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-25.46648651+34.76058054*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>.4738478497+.1798644481*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-25.46593127+34.75464498*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-2.571651015-2.011784848*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-.1475480106e-1+.3545613029e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-25.46648651+34.76058054*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>.4738478488+.1798644485*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-2.571651015-2.011784848*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-.1475480104e-1+.3545613032e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-2.571202824-2.011728605*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-223.0815060-165.2079309*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-8489.021013+22021.48881*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>1996618.854+197016.6982*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>2272.170366-2873.869841*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-286950.6459-121150.3075*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-223.0815060-165.2079308*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-8489.020950+22021.48878*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>2272.170367-2873.869841*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-286950.6462-121150.3083*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-3430393.395+26255405.50*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>476.8646029+628.3838356*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-62291.25411+24854.69547*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-626298.9151-5666817.902*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>14865.83633-18573.71294*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>1185611.596+1638717.861*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>476.8646028+628.3838355*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-62291.25403+24854.69529*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>14865.83634-18573.71294*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>1185611.601+1638717.862*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-161117837.3+60047554.69*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>257.1328586-110.3728609*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>.4460811408+3.260872403*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>257.0944915-110.3780154*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-5.630848495-7.374309546*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>.1012395906-.4074514510e-1*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>257.1328586-110.3728609*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>.4460811409+3.260872400*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-5.630848495-7.374309546*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>.1012395908-.4074514501e-1*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-5.630703604-7.373034130*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-25.466486497459893, 34.76058068352855] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.47384785056443346, 0.17986444785635414] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-25.465931246406512, 34.754645199849094] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-223.08150600961898, -165.2079311070147] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-8489.021069944078, 22021.488829050046] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1996618.8623606951, 197016.70918785242] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[476.86460437689095, 628.3838355450099] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-62291.25418753257, 24854.695698470125] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-626298.9515436132, -5666817.928662045] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[257.13285954662166, -110.37286067923073] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.4460811391802282, 3.2608724089201715] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[257.09449273464963, -110.37801531966466] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.5716510198329185, -2.0117848460964147] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.014754801031821954, 0.03545613032392076] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[2272.170372998831, -2873.869842492228] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-286950.64671219146, -121150.30932944946] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[14865.836324813205, -18573.713010378626] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1185611.6104358947, 1638717.8626540576] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.630848488471952, -7.374309580923269] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.1012395910236462, -0.04074514488965639] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-25.466486497459893, 34.76058068352855] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.47384785056443346, 0.17986444785635414] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-223.08150600961898, -165.2079311070147] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-8489.021069944132, 22021.488829050068] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[476.86460437689107, 628.3838355450099] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-62291.254187532635, 24854.695698470277] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[257.13285954662166, -110.37286067923073] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.4460811391802282, 3.2608724089201715] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.5716510198329185, -2.0117848460964147] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.014754801031821954, 0.03545613032392076] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.5712028319357527, -2.01172860258758] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[2272.1703729988308, -2873.869842492228] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-286950.64671219117, -121150.30932944876] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3430393.554680203, 2.6255405625987586*^7] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[14865.836324813208, -18573.71301037863] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1185611.6104358898, 1638717.8626540569] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.6111783781385145*^8, 6.004755608202064*^7] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.630848488471952, -7.374309580923269] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.1012395910236462, -0.04074514488965639] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.630703595381099, -7.373034185729051] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.34.E1 10.34.E1] || [[Item:Q3542|<math>\modBesselI{\nu}@{ze^{m\pi i}} = e^{m\nu\pi i}\modBesselI{\nu}@{z}</math>]] || <code>BesselI(nu, z*exp(m*Pi*I))= exp(m*nu*Pi*I)*BesselI(nu, z)</code> || <code>BesselI[\[Nu], z*Exp[m*Pi*I]]= Exp[m*\[Nu]*Pi*I]*BesselI[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-25.46648651+34.76058054*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>.4738478497+.1798644481*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-25.46593127+34.75464498*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-2.571651015-2.011784848*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-25.466486497459893, 34.76058068352855] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.47384785056443346, 0.17986444785635414] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-25.465931246406512, 34.754645199849094] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-223.08150600961898, -165.2079311070147] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.34.E2 10.34.E2] || [[Item:Q3543|<math>\modBesselK{\nu}@{ze^{m\pi i}} = e^{-m\nu\pi i}\modBesselK{\nu}@{z}-\pi i\sin@{m\nu\pi}\csc@{\nu\pi}\modBesselI{\nu}@{z}</math>]] || <code>BesselK(nu, z*exp(m*Pi*I))= exp(- m*nu*Pi*I)*BesselK(nu, z)- Pi*I*sin(m*nu*Pi)*csc(nu*Pi)*BesselI(nu, z)</code> || <code>BesselK[\[Nu], z*Exp[m*Pi*I]]= Exp[- m*\[Nu]*Pi*I]*BesselK[\[Nu], z]- Pi*I*Sin[m*\[Nu]*Pi]*Csc[\[Nu]*Pi]*BesselI[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-23.72816996-16.20095675*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>1974.016674-1497.794581*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>78036.43688+195659.8555*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-346.8741250+807.6398259*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-58340.79709-46700.99896*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-23.728172-16.200943*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>1974.0154-1497.7951*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-346.8741242+807.6398262*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-58340.79733-46700.99885*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>5147490.357-3723093.356*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-16.56304882-6.675705960*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-518.8884655+700.6643445*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>69159.66559+26654.29295*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>109.3129522-79.68557469*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-9027.967281-7136.744804*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-16.56304881-6.675705959*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-518.8884625+700.6643444*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>109.3129522-79.68557473*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-9027.967287-7136.744845*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-380386.4171+901322.3517*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-23.72816993-16.20095676*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>1974.016674-1497.794578*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>78036.43659+195659.8554*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-346.8741245+807.6398254*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-58340.79700-46700.99889*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-23.72816993-16.20095676*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>1974.016673-1497.794570*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-346.8741251+807.6398253*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-58340.79721-46700.99887*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>5147490.358-3723093.344*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-16.56304880-6.675705962*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-518.8884660+700.6643440*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>69159.66550+26654.29302*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>109.312953-79.685572*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-9027.96699-7136.7449*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-16.56316-6.67572*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-518.889+700.677*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>109.3129524-79.68557468*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-9027.967289-7136.744858*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-380386.4184+901322.3522*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-23.728169968169517, -16.200956740051907] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1974.0166738862135, -1497.7945856695665] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[78036.4381344157, 195659.85598804062] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-16.563048824383813, -6.675705970582722] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-518.8884671759843, 700.664344717654] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[69159.66576160878, 26654.293412334537] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-23.728169968169524, -16.200956740051904] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1974.016673886213, -1497.7945856695671] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[78036.43813441576, 195659.8559880406] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-16.56304882438382, -6.6757059705827215] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-518.888467175984, 700.6643447176542] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[69159.6657616088, 26654.293412334504] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-346.87412377014255, 807.6398268342903] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-58340.79750295954, -46700.99881352048] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[109.31295240645538, -79.68557469528693] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9027.967291383398, -7136.744876012729] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-346.87412377014283, 807.6398268342905] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-58340.79750295957, -46700.998813520506] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[109.31295240645568, -79.68557469528764] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9027.967291383466, -7136.744876012759] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-23.728169968169823, -16.20095674005097] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1974.0166738863336, -1497.7945856694132] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-16.563048824383813, -6.675705970582723] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-518.8884671759865, 700.6643447176542] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-23.728169968169524, -16.200956740051904] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1974.0166738862138, -1497.7945856695733] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-16.563048824355064, -6.675705970606941] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-518.88846717868, 700.6643447154202] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-346.87412377014266, 807.63982683429] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-58340.79750295935, -46700.99881352051] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5147490.361761531, -3723093.399348925] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[109.31295240645538, -79.68557469528692] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9027.967291383395, -7136.744876012698] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-380386.42386936443, 901322.3544509149] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-346.87412377014283, 807.6398268342905] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-58340.79750295938, -46700.998813520535] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5147490.361761534, -3723093.3993489267] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[109.31295240645538, -79.68557469528693] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9027.967291383395, -7136.744876012699] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-380386.4238693643, 901322.3544509148] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.34.E2 10.34.E2] || [[Item:Q3543|<math>\modBesselK{\nu}@{ze^{m\pi i}} = e^{-m\nu\pi i}\modBesselK{\nu}@{z}-\pi i\sin@{m\nu\pi}\csc@{\nu\pi}\modBesselI{\nu}@{z}</math>]] || <code>BesselK(nu, z*exp(m*Pi*I))= exp(- m*nu*Pi*I)*BesselK(nu, z)- Pi*I*sin(m*nu*Pi)*csc(nu*Pi)*BesselI(nu, z)</code> || <code>BesselK[\[Nu], z*Exp[m*Pi*I]]= Exp[- m*\[Nu]*Pi*I]*BesselK[\[Nu], z]- Pi*I*Sin[m*\[Nu]*Pi]*Csc[\[Nu]*Pi]*BesselI[\[Nu], z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-23.72816996-16.20095675*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>1974.016674-1497.794581*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>78036.43688+195659.8555*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-346.8741250+807.6398259*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-23.728169968169517, -16.200956740051907] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1974.0166738862135, -1497.7945856695665] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[78036.4381344157, 195659.85598804062] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-16.563048824383813, -6.675705970582722] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.34.E3 10.34.E3] || [[Item:Q3544|<math>\modBesselI{\nu}@{ze^{m\pi i}} = (i/\pi)\left(+ e^{m\nu\pi i}\modBesselK{\nu}@{ze^{+\pi i}}- e^{(m- 1)\nu\pi i}\modBesselK{\nu}@{z}\right)</math>]] || <code>BesselI(nu, z*exp(m*Pi*I))=(I/ Pi)*(+ exp(m*nu*Pi*I)*BesselK(nu, z*exp(+ Pi*I))- exp((m - 1)* nu*Pi*I)*BesselK(nu, z))</code> || <code>BesselI[\[Nu], z*Exp[m*Pi*I]]=(I/ Pi)*(+ Exp[m*\[Nu]*Pi*I]*BesselK[\[Nu], z*Exp[+ Pi*I]]- Exp[(m - 1)* \[Nu]*Pi*I]*BesselK[\[Nu], z])</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-25.36470622+34.79539330*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>.4739237916+.1786015012*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-25.46594582+34.75464807*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-2.571651015-2.011784848*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-.1475480106e-1+.3545613029e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-25.46648651+34.76058054*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>.4738478488+.1798644485*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-2.124943201-5.272182185*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-.5311818950e-1+.4060217813e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-2.571024339-2.011309780*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>257.0797411-110.4134630*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-14867.96127-18568.44077*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-1185354.517+1638607.448*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>2272.170367-2873.869841*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-286950.6459-121150.3075*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-223.0815060-165.2079308*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-8489.020954+22021.48885*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-5.156924697-7.552911076*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-502.2293091+593.5884418*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>62286.09710+24847.14238*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-25.36470620+34.79539343*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-2277.327292-2866.316930*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>286925.2812-121115.5122*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>14865.83633-18573.71295*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>1185611.596+1638717.861*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>476.8646029+628.3838353*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-62291.25402+24854.69529*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-2.124943205-5.272182184*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>480.1612470-54.7944676*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>8486.896011+22016.21667*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>257.0797404-110.4134631*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>.4467078138+3.260397334*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>257.0944949-110.3780068*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-5.630848495-7.374309546*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>.1012395906-.4074514510e-1*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>257.1328586-110.3728609*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>.4460811409+3.260872400*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-5.156924703-7.552911047*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>.1017802855-.3481275550e-1*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-5.630772556-7.373046579*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-25.36470621174673, 34.79539343891294] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.47392379247751504, 0.17860150099441258] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-25.465945802770374, 34.75464829402328] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[257.07974135711925, -110.41346285737623] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-14867.96126802089, -18568.440828192473] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1185354.5306945369, 1638607.4491911994] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-25.364706211746736, 34.79539343891294] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2277.3272976948256, -2866.31693141031] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[286925.28200597974, -121115.51393601055] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[257.0797413571194, -110.41346285737629] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.4467078121402805, 3.260397340049767] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[257.09449615815123, -110.37800672705237] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.5716510198329185, -2.0117848460964147] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.014754801031821954, 0.03545613032392076] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[2272.170372998831, -2873.869842492228] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-286950.64671219146, -121150.30932944948] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[14865.836324813197, -18573.71301037862] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1185611.610435894, 1638717.8626540566] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.630848488471952, -7.374309580923269] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.1012395910236462, -0.04074514488965639] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-25.466486497459893, 34.76058068352855] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.47384785056443346, 0.17986444785635414] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-223.0815060096189, -165.20793110701467] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-8489.021069944125, 22021.488829050002] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[476.8646043768909, 628.38383554501] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-62291.25418753265, 24854.69569847026] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[257.13285954662166, -110.37286067923073] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.4460811391802282, 3.2608724089201715] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.1249432076926382, -5.27218218614618] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.053118189502246005, 0.04060217814556248] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.5710243468728664, -2.01130977722601] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.156924695994439, -7.55291108191768] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-502.2293105886376, 593.5884421060971] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[62286.09726283666, 24847.14278738834] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.1249432076926382, -5.272182186146181] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[480.1612473667383, -54.794468249638385] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[8486.896126736432, 22016.216646863857] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.156924695994437, -7.5529110819176815] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.10178028571316433, -0.03481275538438797] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.6307725465588705, -7.3730466340613265] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.34.E3 10.34.E3] || [[Item:Q3544|<math>\modBesselI{\nu}@{ze^{m\pi i}} = (i/\pi)\left(+ e^{m\nu\pi i}\modBesselK{\nu}@{ze^{+\pi i}}- e^{(m- 1)\nu\pi i}\modBesselK{\nu}@{z}\right)</math>]] || <code>BesselI(nu, z*exp(m*Pi*I))=(I/ Pi)*(+ exp(m*nu*Pi*I)*BesselK(nu, z*exp(+ Pi*I))- exp((m - 1)* nu*Pi*I)*BesselK(nu, z))</code> || <code>BesselI[\[Nu], z*Exp[m*Pi*I]]=(I/ Pi)*(+ Exp[m*\[Nu]*Pi*I]*BesselK[\[Nu], z*Exp[+ Pi*I]]- Exp[(m - 1)* \[Nu]*Pi*I]*BesselK[\[Nu], z])</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-25.36470622+34.79539330*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>.4739237916+.1786015012*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-25.46594582+34.75464807*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-2.571651015-2.011784848*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-25.36470621174673, 34.79539343891294] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.47392379247751504, 0.17860150099441258] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-25.465945802770374, 34.75464829402328] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[257.07974135711925, -110.41346285737623] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.34.E3 10.34.E3] || [[Item:Q3544|<math>\modBesselI{\nu}@{ze^{m\pi i}} = (i/\pi)\left(- e^{m\nu\pi i}\modBesselK{\nu}@{ze^{-\pi i}}+ e^{(m+ 1)\nu\pi i}\modBesselK{\nu}@{z}\right)</math>]] || <code>BesselI(nu, z*exp(m*Pi*I))=(I/ Pi)*(- exp(m*nu*Pi*I)*BesselK(nu, z*exp(- Pi*I))+ exp((m + 1)* nu*Pi*I)*BesselK(nu, z))</code> || <code>BesselI[\[Nu], z*Exp[m*Pi*I]]=(I/ Pi)*(- Exp[m*\[Nu]*Pi*I]*BesselK[\[Nu], z*Exp[- Pi*I]]+ Exp[(m + 1)* \[Nu]*Pi*I]*BesselK[\[Nu], z])</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-25.46648651+34.76058054*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>.4738478497+.1798644481*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-25.46593127+34.75464498*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-.5311818950e-1+.4060217813e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 1}</code><br><code>-2.571024342-2.011309779*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-.1475137756e-1+.3544753768e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>.4739237916+.1786015012*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 1}</code><br><code>-25.46594581+34.75464815*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>.4737788976+.1798768968*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-2.571651015-2.011784848*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-.1475480104e-1+.3545613032e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-2.571202824-2.011728605*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-223.0815060-165.2079308*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-8489.020954+22021.48885*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>1996618.840+197016.7318*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-502.2293091+593.5884418*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 1}</code><br><code>62286.09710+24847.14238*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>626273.6296-5666852.767*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-14867.96127-18568.44077*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 1}</code><br><code>-1185354.517+1638607.448*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>161117836.4+60047562.87*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>2272.170367-2873.869841*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-286950.6459-121150.3075*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-3430393.780+26255405.80*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>476.8646029+628.3838353*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-62291.25402+24854.69529*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-626298.9943-5666817.971*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>480.1612470-54.7944676*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 1}</code><br><code>8486.896011+22016.21667*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-1996361.761+197127.1453*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-2277.327292-2866.316930*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 1}</code><br><code>286925.2812-121115.5122*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>3430388.623+26255413.35*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>14865.83633-18573.71295*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>1185611.596+1638717.861*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-161117838.6+60047557.60*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>257.1328586-110.3728609*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>.4460811408+3.260872403*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>257.0944915-110.3780154*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>.1017802855-.3481275550e-1*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 1}</code><br><code>-5.630772554-7.373046600*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>.1012250343-.4074823927e-1*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>.4467078138+3.260397334*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 1}</code><br><code>257.0944952-110.3780069*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>.4462596260+3.260453575*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-5.630848495-7.374309546*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>.1012395908-.4074514501e-1*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-5.630703604-7.373034130*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-25.466486497459893, 34.76058068352855] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.47384785056443346, 0.17986444785635414] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-25.465931246406512, 34.754645199849094] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-223.0815060096189, -165.20793110701467] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-8489.021069944125, 22021.488829050002] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1996618.8623606965, 197016.7091878481] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[476.8646043768909, 628.38383554501] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-62291.25418753265, 24854.69569847026] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-626298.9515436013, -5666817.928662036] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[257.13285954662166, -110.37286067923073] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.4460811391802282, 3.2608724089201715] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[257.09449273464963, -110.37801531966466] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.053118189502246005, 0.04060217814556248] <- {Rule[m, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.5710243468728664, -2.01130977722601] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.014751377530204238, 0.035447537711631005] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-502.2293105886376, 593.5884421060971] <- {Rule[m, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[62286.09726283666, 24847.14278738834] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[626273.5868373895, -5666852.724055475] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[480.1612473667383, -54.794468249638385] <- {Rule[m, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[8486.896126736432, 22016.216646863857] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1996361.7826193394, 197127.12265070545] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.10178028571316433, -0.03481275538438797] <- {Rule[m, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.6307725465588705, -7.3730466340613265] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.101225034659784, -0.04074823906384328] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.47392379247751504, 0.17860150099441258] <- {Rule[m, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-25.465945802770374, 34.75464829402328] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.47377889938666123, 0.17987689618862993] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-14867.96126802089, -18568.440828192473] <- {Rule[m, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1185354.5306945369, 1638607.4491911994] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.6111783568890795*^8, 6.0047561354202405*^7] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2277.3272976948256, -2866.31693141031] <- {Rule[m, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[286925.28200597974, -121115.51393601055] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3430388.3977554566, 2.6255413178898625*^7] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.4467078121402805, 3.260397340049767] <- {Rule[m, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[257.09449615815123, -110.37800672705237] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.4462596242431147, 3.2604535835586015] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.5716510198329185, -2.0117848460964147] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.014754801031821954, 0.03545613032392076] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-2.5712028319357527, -2.01172860258758] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[2272.170372998831, -2873.869842492228] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-286950.64671219146, -121150.30932944948] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3430393.5546801523, 2.6255405625987545*^7] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[14865.836324813197, -18573.71301037862] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1185611.610435894, 1638717.8626540566] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.6111783781385118*^8, 6.0047556082020216*^7] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.630848488471952, -7.374309580923269] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.1012395910236462, -0.04074514488965639] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-5.630703595381099, -7.373034185729051] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.34.E3 10.34.E3] || [[Item:Q3544|<math>\modBesselI{\nu}@{ze^{m\pi i}} = (i/\pi)\left(- e^{m\nu\pi i}\modBesselK{\nu}@{ze^{-\pi i}}+ e^{(m+ 1)\nu\pi i}\modBesselK{\nu}@{z}\right)</math>]] || <code>BesselI(nu, z*exp(m*Pi*I))=(I/ Pi)*(- exp(m*nu*Pi*I)*BesselK(nu, z*exp(- Pi*I))+ exp((m + 1)* nu*Pi*I)*BesselK(nu, z))</code> || <code>BesselI[\[Nu], z*Exp[m*Pi*I]]=(I/ Pi)*(- Exp[m*\[Nu]*Pi*I]*BesselK[\[Nu], z*Exp[- Pi*I]]+ Exp[(m + 1)* \[Nu]*Pi*I]*BesselK[\[Nu], z])</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-25.46648651+34.76058054*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>.4738478497+.1798644481*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-25.46593127+34.75464498*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-.5311818950e-1+.4060217813e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 1}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-25.466486497459893, 34.76058068352855] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.47384785056443346, 0.17986444785635414] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-25.465931246406512, 34.754645199849094] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-223.0815060096189, -165.20793110701467] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.34.E4 10.34.E4] || [[Item:Q3545|<math>\modBesselK{\nu}@{ze^{m\pi i}} = \csc@{\nu\pi}\left(+\sin@{m\nu\pi}\modBesselK{\nu}@{ze^{+\pi i}}-\sin@{(m- 1)\nu\pi}\modBesselK{\nu}@{z}\right)</math>]] || <code>BesselK(nu, z*exp(m*Pi*I))= csc(nu*Pi)*(+ sin(m*nu*Pi)*BesselK(nu, z*exp(+ Pi*I))- sin((m - 1)* nu*Pi)*BesselK(nu, z))</code> || <code>BesselK[\[Nu], z*Exp[m*Pi*I]]= Csc[\[Nu]*Pi]*(+ Sin[m*\[Nu]*Pi]*BesselK[\[Nu], z*Exp[+ Pi*I]]- Sin[(m - 1)* \[Nu]*Pi]*BesselK[\[Nu], z])</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>109.3129522+79.68557470*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-9027.967286+7136.744811*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-346.8741247+807.6398251*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-58340.79702-46700.99889*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-23.72816993-16.20095676*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>1974.016672-1497.794570*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-16.56304884+6.675705955*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-518.8884636-700.6643466*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-346.8741247-807.6398251*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-58340.79702+46700.99889*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>109.3129522-79.68557470*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-9027.967286-7136.744811*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-16.56304882-6.675705955*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-518.8884636+700.6643466*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-23.72816993+16.20095676*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>1974.016672+1497.794570*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>109.3129522+79.68557470*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-9027.967286+7136.744811*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-346.8741247+807.6398251*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-58340.79702-46700.99889*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-23.72816993-16.20095676*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>1974.016672-1497.794570*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-16.56304884+6.675705955*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-518.8884636-700.6643466*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-346.8741247-807.6398251*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-58340.79702+46700.99889*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>109.3129522-79.68557470*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-9027.967286-7136.744811*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-16.56304882-6.675705955*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-518.8884636+700.6643466*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-23.72816993+16.20095676*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>1974.016672+1497.794570*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[109.31295240645538, 79.68557469528692] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9027.967291383398, 7136.744876012727] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-346.8741237701426, -807.6398268342901] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-58340.79750295953, 46700.99881352048] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[109.31295240645538, 79.68557469528692] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9027.967291383398, 7136.744876012727] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-346.8741237701426, -807.6398268342901] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-58340.79750295953, 46700.99881352048] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-346.8741237701426, 807.6398268342901] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-58340.79750295953, -46700.99881352048] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[109.31295240645538, -79.68557469528692] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9027.967291383398, -7136.744876012727] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-346.8741237701426, 807.6398268342901] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-58340.79750295953, -46700.99881352048] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[109.31295240645538, -79.68557469528692] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9027.967291383398, -7136.744876012727] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-23.728169968169517, -16.2009567400519] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1974.0166738862144, -1497.7945856695726] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-16.563048824383813, -6.675705970582721] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-518.8884671759854, 700.664344717652] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-23.728169968169517, -16.2009567400519] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1974.0166738862144, -1497.7945856695726] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-16.563048824383813, -6.675705970582721] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-518.8884671759854, 700.664344717652] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-16.563048824383813, 6.675705970582721] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-518.8884671759854, -700.664344717652] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-23.728169968169517, 16.2009567400519] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1974.0166738862144, 1497.7945856695726] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-16.563048824383813, 6.675705970582721] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-518.8884671759854, -700.664344717652] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-23.728169968169517, 16.2009567400519] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1974.0166738862144, 1497.7945856695726] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.34.E4 10.34.E4] || [[Item:Q3545|<math>\modBesselK{\nu}@{ze^{m\pi i}} = \csc@{\nu\pi}\left(+\sin@{m\nu\pi}\modBesselK{\nu}@{ze^{+\pi i}}-\sin@{(m- 1)\nu\pi}\modBesselK{\nu}@{z}\right)</math>]] || <code>BesselK(nu, z*exp(m*Pi*I))= csc(nu*Pi)*(+ sin(m*nu*Pi)*BesselK(nu, z*exp(+ Pi*I))- sin((m - 1)* nu*Pi)*BesselK(nu, z))</code> || <code>BesselK[\[Nu], z*Exp[m*Pi*I]]= Csc[\[Nu]*Pi]*(+ Sin[m*\[Nu]*Pi]*BesselK[\[Nu], z*Exp[+ Pi*I]]- Sin[(m - 1)* \[Nu]*Pi]*BesselK[\[Nu], z])</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>109.3129522+79.68557470*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-9027.967286+7136.744811*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-346.8741247+807.6398251*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-58340.79702-46700.99889*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[109.31295240645538, 79.68557469528692] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9027.967291383398, 7136.744876012727] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-346.8741237701426, -807.6398268342901] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-58340.79750295953, 46700.99881352048] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.34.E4 10.34.E4] || [[Item:Q3545|<math>\modBesselK{\nu}@{ze^{m\pi i}} = \csc@{\nu\pi}\left(-\sin@{m\nu\pi}\modBesselK{\nu}@{ze^{-\pi i}}+\sin@{(m+ 1)\nu\pi}\modBesselK{\nu}@{z}\right)</math>]] || <code>BesselK(nu, z*exp(m*Pi*I))= csc(nu*Pi)*(- sin(m*nu*Pi)*BesselK(nu, z*exp(- Pi*I))+ sin((m + 1)* nu*Pi)*BesselK(nu, z))</code> || <code>BesselK[\[Nu], z*Exp[m*Pi*I]]= Csc[\[Nu]*Pi]*(- Sin[m*\[Nu]*Pi]*BesselK[\[Nu], z*Exp[- Pi*I]]+ Sin[(m + 1)* \[Nu]*Pi]*BesselK[\[Nu], z])</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-23.72816993-16.20095676*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>1974.016672-1497.794570*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>78036.44012+195659.8571*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-16.56304884+6.675705955*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 1}</code><br><code>-518.8884636-700.6643466*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>69159.66477-26654.29404*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>109.3129522+79.68557470*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 1}</code><br><code>-9027.967286+7136.744811*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-380386.4338-901322.3588*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-346.8741247+807.6398251*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-58340.79702-46700.99889*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>5147490.375-3723093.462*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-16.56304882-6.675705955*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-518.8884636+700.6643466*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>69159.66477+26654.29404*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-23.72816993+16.20095676*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 1}</code><br><code>1974.016672+1497.794570*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>78036.44012-195659.8571*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-346.8741247-807.6398251*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 1}</code><br><code>-58340.79702+46700.99889*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>5147490.375+3723093.462*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>109.3129522-79.68557470*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-9027.967286-7136.744811*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-380386.4338+901322.3588*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-23.72816993-16.20095676*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>1974.016672-1497.794570*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>78036.44012+195659.8571*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-16.56304884+6.675705955*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 1}</code><br><code>-518.8884636-700.6643466*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>69159.66477-26654.29404*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>109.3129522+79.68557470*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 1}</code><br><code>-9027.967286+7136.744811*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>-380386.4338-901322.3588*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-346.8741247+807.6398251*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-58340.79702-46700.99889*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>5147490.375-3723093.462*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-16.56304882-6.675705955*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-518.8884636+700.6643466*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>69159.66477+26654.29404*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-23.72816993+16.20095676*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 1}</code><br><code>1974.016672+1497.794570*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 2}</code><br><code>78036.44012-195659.8571*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 3}</code><br><code>-346.8741247-807.6398251*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 1}</code><br><code>-58340.79702+46700.99889*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 2}</code><br><code>5147490.375+3723093.462*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2), m = 3}</code><br><code>109.3129522-79.68557470*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 1}</code><br><code>-9027.967286-7136.744811*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 2}</code><br><code>-380386.4338+901322.3588*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2), m = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-23.728169968169517, -16.2009567400519] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1974.0166738862144, -1497.7945856695726] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[78036.43813441524, 195659.85598804036] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-16.563048824383813, -6.675705970582721] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-518.8884671759854, 700.664344717652] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[69159.66576160888, 26654.29341233439] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-23.728169968169517, -16.2009567400519] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1974.0166738862144, -1497.7945856695726] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[78036.43813441524, 195659.85598804036] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-16.563048824383813, -6.675705970582721] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-518.8884671759854, 700.664344717652] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[69159.66576160888, 26654.29341233439] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-16.563048824383813, 6.675705970582721] <- {Rule[m, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-518.8884671759854, -700.664344717652] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[69159.66576160888, -26654.29341233439] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-23.728169968169517, 16.2009567400519] <- {Rule[m, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1974.0166738862144, 1497.7945856695726] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[78036.43813441524, -195659.85598804036] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-16.563048824383813, 6.675705970582721] <- {Rule[m, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-518.8884671759854, -700.664344717652] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[69159.66576160888, -26654.29341233439] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-23.728169968169517, 16.2009567400519] <- {Rule[m, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1974.0166738862144, 1497.7945856695726] <- {Rule[m, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[78036.43813441524, -195659.85598804036] <- {Rule[m, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[109.31295240645538, 79.68557469528692] <- {Rule[m, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9027.967291383398, 7136.744876012727] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-380386.4238693621, -901322.354450914] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-346.8741237701426, -807.6398268342901] <- {Rule[m, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-58340.79750295953, 46700.99881352048] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5147490.361761528, 3723093.39934891] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[109.31295240645538, 79.68557469528692] <- {Rule[m, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9027.967291383398, 7136.744876012727] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-380386.4238693621, -901322.354450914] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-346.8741237701426, -807.6398268342901] <- {Rule[m, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-58340.79750295953, 46700.99881352048] <- {Rule[m, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5147490.361761528, 3723093.39934891] <- {Rule[m, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-346.8741237701426, 807.6398268342901] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-58340.79750295953, -46700.99881352048] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5147490.361761528, -3723093.39934891] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[109.31295240645538, -79.68557469528692] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9027.967291383398, -7136.744876012727] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-380386.4238693621, 901322.354450914] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-346.8741237701426, 807.6398268342901] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-58340.79750295953, -46700.99881352048] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[5147490.361761528, -3723093.39934891] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[109.31295240645538, -79.68557469528692] <- {Rule[m, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9027.967291383398, -7136.744876012727] <- {Rule[m, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-380386.4238693621, 901322.354450914] <- {Rule[m, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.34.E4 10.34.E4] || [[Item:Q3545|<math>\modBesselK{\nu}@{ze^{m\pi i}} = \csc@{\nu\pi}\left(-\sin@{m\nu\pi}\modBesselK{\nu}@{ze^{-\pi i}}+\sin@{(m+ 1)\nu\pi}\modBesselK{\nu}@{z}\right)</math>]] || <code>BesselK(nu, z*exp(m*Pi*I))= csc(nu*Pi)*(- sin(m*nu*Pi)*BesselK(nu, z*exp(- Pi*I))+ sin((m + 1)* nu*Pi)*BesselK(nu, z))</code> || <code>BesselK[\[Nu], z*Exp[m*Pi*I]]= Csc[\[Nu]*Pi]*(- Sin[m*\[Nu]*Pi]*BesselK[\[Nu], z*Exp[- Pi*I]]+ Sin[(m + 1)* \[Nu]*Pi]*BesselK[\[Nu], z])</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-23.72816993-16.20095676*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 1}</code><br><code>1974.016672-1497.794570*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 2}</code><br><code>78036.44012+195659.8571*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2), m = 3}</code><br><code>-16.56304884+6.675705955*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2), m = 1}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-23.728169968169517, -16.2009567400519] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1974.0166738862144, -1497.7945856695726] <- {Rule[m, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[78036.43813441524, 195659.85598804036] <- {Rule[m, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-16.563048824383813, -6.675705970582721] <- {Rule[m, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
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| [https://dlmf.nist.gov/10.34.E5 10.34.E5] || [[Item:Q3546|<math>\modBesselK{n}@{ze^{m\pi i}} = (-1)^{mn}\modBesselK{n}@{z}+(-1)^{n(m-1)-1}m\pi i\modBesselI{n}@{z}</math>]] || <code>BesselK(n, z*exp(m*Pi*I))=(- 1)^(m*n)* BesselK(n, z)+(- 1)^(n*(m - 1)- 1)* m*Pi*I*BesselI(n, z)</code> || <code>BesselK[n, z*Exp[m*Pi*I]]=(- 1)^(m*n)* BesselK[n, z]+(- 1)^(n*(m - 1)- 1)* m*Pi*I*BesselI[n, z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-6.264823649+1.883544620*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 1}</code><br><code>-3.011056351-1.038481291*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 2}</code><br><code>-.5379125927-.9060977874*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 3}</code><br><code>6.264823651-1.883544623*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 1}</code><br><code>-3.011056354-1.038481289*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 2}</code><br><code>.5379125939+.9060977870*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 3}</code><br><code>-12.52964730+3.767089239*I <- {z = 2^(1/2)+I*2^(1/2), m = 3, n = 1}</code><br><code>-6.022112704-2.076962582*I <- {z = 2^(1/2)+I*2^(1/2), m = 3, n = 2}</code><br><code>-1.075825186-1.812195575*I <- {z = 2^(1/2)+I*2^(1/2), m = 3, n = 3}</code><br><code>-6.264823651-1.883544623*I <- {z = 2^(1/2)-I*2^(1/2), m = 2, n = 1}</code><br><code>3.011056354-1.038481289*I <- {z = 2^(1/2)-I*2^(1/2), m = 2, n = 2}</code><br><code>-.5379125939+.9060977869*I <- {z = 2^(1/2)-I*2^(1/2), m = 2, n = 3}</code><br><code>6.264823647+1.883544617*I <- {z = 2^(1/2)-I*2^(1/2), m = 3, n = 1}</code><br><code>3.011056352-1.038481293*I <- {z = 2^(1/2)-I*2^(1/2), m = 3, n = 2}</code><br><code>.5379125906-.9060977899*I <- {z = 2^(1/2)-I*2^(1/2), m = 3, n = 3}</code><br><code>-6.264823650+1.883544620*I <- {z = -2^(1/2)-I*2^(1/2), m = 2, n = 1}</code><br><code>-3.011056352-1.038481291*I <- {z = -2^(1/2)-I*2^(1/2), m = 2, n = 2}</code><br><code>-.5379125928-.9060977874*I <- {z = -2^(1/2)-I*2^(1/2), m = 2, n = 3}</code><br><code>6.264823650-1.883544623*I <- {z = -2^(1/2)-I*2^(1/2), m = 3, n = 1}</code><br><code>-3.011056355-1.038481289*I <- {z = -2^(1/2)-I*2^(1/2), m = 3, n = 2}</code><br><code>.5379125927+.9060977891*I <- {z = -2^(1/2)-I*2^(1/2), m = 3, n = 3}</code><br><code>-6.264823649-1.883544623*I <- {z = -2^(1/2)+I*2^(1/2), m = 1, n = 1}</code><br><code>3.011056353-1.038481289*I <- {z = -2^(1/2)+I*2^(1/2), m = 1, n = 2}</code><br><code>-.5379125938+.9060977869*I <- {z = -2^(1/2)+I*2^(1/2), m = 1, n = 3}</code><br><code>6.264823649+1.883544620*I <- {z = -2^(1/2)+I*2^(1/2), m = 2, n = 1}</code><br><code>3.011056352-1.038481291*I <- {z = -2^(1/2)+I*2^(1/2), m = 2, n = 2}</code><br><code>.5379125929-.9060977873*I <- {z = -2^(1/2)+I*2^(1/2), m = 2, n = 3}</code><br><code>-12.52964730-3.767089246*I <- {z = -2^(1/2)+I*2^(1/2), m = 3, n = 1}</code><br><code>6.022112707-2.076962578*I <- {z = -2^(1/2)+I*2^(1/2), m = 3, n = 2}</code><br><code>-1.075825188+1.812195574*I <- {z = -2^(1/2)+I*2^(1/2), m = 3, n = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-6.264823652701258, 1.8835446212245166] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.0110563535593116, -1.0384812903661844] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.537912595321433, -0.9060977859421694] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.264823652701258, -1.8835446212245166] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.0110563535593116, -1.0384812903661842] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.537912595321433, 0.9060977859421694] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-12.529647305402515, 3.7670892424490328] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.022112707118623, -2.076962580732369] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.075825190642866, -1.8121955718843386] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.264823652701258, -1.8835446212245166] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.0110563535593116, -1.0384812903661842] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.537912595321433, 0.9060977859421694] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.264823652701258, 1.8835446212245164] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.0110563535593116, -1.0384812903661844] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.5379125953214329, -0.9060977859421694] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.264823652701258, 1.8835446212245166] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.0110563535593116, -1.0384812903661842] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.537912595321433, -0.9060977859421694] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.264823652701258, -1.8835446212245164] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.0110563535593116, -1.0384812903661844] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.5379125953214329, 0.9060977859421694] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.264823652701258, -1.8835446212245166] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.0110563535593116, -1.0384812903661844] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.537912595321433, 0.9060977859421694] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.264823652701258, 1.8835446212245166] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.0110563535593116, -1.0384812903661842] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.537912595321433, -0.9060977859421694] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-12.529647305402515, -3.7670892424490328] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.022112707118623, -2.076962580732369] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.075825190642866, 1.8121955718843386] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.34.E5 10.34.E5] || [[Item:Q3546|<math>\modBesselK{n}@{ze^{m\pi i}} = (-1)^{mn}\modBesselK{n}@{z}+(-1)^{n(m-1)-1}m\pi i\modBesselI{n}@{z}</math>]] || <code>BesselK(n, z*exp(m*Pi*I))=(- 1)^(m*n)* BesselK(n, z)+(- 1)^(n*(m - 1)- 1)* m*Pi*I*BesselI(n, z)</code> || <code>BesselK[n, z*Exp[m*Pi*I]]=(- 1)^(m*n)* BesselK[n, z]+(- 1)^(n*(m - 1)- 1)* m*Pi*I*BesselI[n, z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-6.264823649+1.883544620*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 1}</code><br><code>-3.011056351-1.038481291*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 2}</code><br><code>-.5379125927-.9060977874*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 3}</code><br><code>6.264823651-1.883544623*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 1}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-6.264823652701258, 1.8835446212245166] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.0110563535593116, -1.0384812903661844] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.537912595321433, -0.9060977859421694] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.264823652701258, -1.8835446212245166] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.34.E6 10.34.E6] || [[Item:Q3547|<math>\modBesselK{n}@{ze^{m\pi i}} = +(-1)^{n(m-1)}m\modBesselK{n}@{ze^{+\pi i}}-(-1)^{nm}(m- 1)\modBesselK{n}@{z}</math>]] || <code>BesselK(n, z*exp(m*Pi*I))= +(- 1)^(n*(m - 1))* m*BesselK(n, z*exp(+ Pi*I))-(- 1)^(n*m)*(m - 1)* BesselK(n, z)</code> || <code>BesselK[n, z*Exp[m*Pi*I]]= +(- 1)^(n*(m - 1))* m*BesselK[n, z*Exp[+ Pi*I]]-(- 1)^(n*m)*(m - 1)* BesselK[n, z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-6.264823650+1.883544622*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 1}</code><br><code>3.011056351+1.038481289*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 2}</code><br><code>-.5379125964-.9060977833*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 3}</code><br><code>6.264823652-1.883544629*I <- {z = 2^(1/2)+I*2^(1/2), m = 3, n = 1}</code><br><code>3.011056353+1.038481286*I <- {z = 2^(1/2)+I*2^(1/2), m = 3, n = 2}</code><br><code>.537912599+.9060977807*I <- {z = 2^(1/2)+I*2^(1/2), m = 3, n = 3}</code><br><code>-6.264823649-1.883544622*I <- {z = 2^(1/2)-I*2^(1/2), m = 2, n = 1}</code><br><code>3.011056353-1.038481289*I <- {z = 2^(1/2)-I*2^(1/2), m = 2, n = 2}</code><br><code>-.5379125940+.9060977870*I <- {z = 2^(1/2)-I*2^(1/2), m = 2, n = 3}</code><br><code>6.264823646+1.883544617*I <- {z = 2^(1/2)-I*2^(1/2), m = 3, n = 1}</code><br><code>3.011056351-1.038481293*I <- {z = 2^(1/2)-I*2^(1/2), m = 3, n = 2}</code><br><code>.537912590-.9060977897*I <- {z = 2^(1/2)-I*2^(1/2), m = 3, n = 3}</code><br><code>-6.264823649+1.883544620*I <- {z = -2^(1/2)-I*2^(1/2), m = 2, n = 1}</code><br><code>-3.011056351-1.038481291*I <- {z = -2^(1/2)-I*2^(1/2), m = 2, n = 2}</code><br><code>-.5379125924-.9060977875*I <- {z = -2^(1/2)-I*2^(1/2), m = 2, n = 3}</code><br><code>6.264823649-1.883544623*I <- {z = -2^(1/2)-I*2^(1/2), m = 3, n = 1}</code><br><code>-3.011056354-1.038481289*I <- {z = -2^(1/2)-I*2^(1/2), m = 3, n = 2}</code><br><code>.537912593+.9060977889*I <- {z = -2^(1/2)-I*2^(1/2), m = 3, n = 3}</code><br><code>-6.264823651-1.883544626*I <- {z = -2^(1/2)+I*2^(1/2), m = 2, n = 1}</code><br><code>-3.011056353+1.038481288*I <- {z = -2^(1/2)+I*2^(1/2), m = 2, n = 2}</code><br><code>-.5379125974+.9060977830*I <- {z = -2^(1/2)+I*2^(1/2), m = 2, n = 3}</code><br><code>6.264823650+1.883544622*I <- {z = -2^(1/2)+I*2^(1/2), m = 3, n = 1}</code><br><code>-3.011056350+1.038481290*I <- {z = -2^(1/2)+I*2^(1/2), m = 3, n = 2}</code><br><code>.537912597-.9060977816*I <- {z = -2^(1/2)+I*2^(1/2), m = 3, n = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-6.264823652701258, 1.8835446212245168] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.0110563535593116, 1.0384812903661842] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.537912595321433, -0.9060977859421694] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.264823652701258, -1.8835446212245168] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.0110563535593116, 1.0384812903661842] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.537912595321433, 0.9060977859421694] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.264823652701258, -1.8835446212245168] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.0110563535593116, -1.0384812903661842] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.537912595321433, 0.9060977859421694] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.264823652701258, 1.8835446212245168] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.0110563535593116, -1.0384812903661842] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.537912595321433, -0.9060977859421694] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.264823652701258, 1.8835446212245168] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.0110563535593116, -1.0384812903661842] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.537912595321433, -0.9060977859421694] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.264823652701258, -1.8835446212245168] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.0110563535593116, -1.0384812903661842] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.537912595321433, 0.9060977859421694] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.264823652701258, -1.8835446212245168] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.0110563535593116, 1.0384812903661842] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.537912595321433, 0.9060977859421694] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.264823652701258, 1.8835446212245168] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.0110563535593116, 1.0384812903661842] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.537912595321433, -0.9060977859421694] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.34.E6 10.34.E6] || [[Item:Q3547|<math>\modBesselK{n}@{ze^{m\pi i}} = +(-1)^{n(m-1)}m\modBesselK{n}@{ze^{+\pi i}}-(-1)^{nm}(m- 1)\modBesselK{n}@{z}</math>]] || <code>BesselK(n, z*exp(m*Pi*I))= +(- 1)^(n*(m - 1))* m*BesselK(n, z*exp(+ Pi*I))-(- 1)^(n*m)*(m - 1)* BesselK(n, z)</code> || <code>BesselK[n, z*Exp[m*Pi*I]]= +(- 1)^(n*(m - 1))* m*BesselK[n, z*Exp[+ Pi*I]]-(- 1)^(n*m)*(m - 1)* BesselK[n, z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-6.264823650+1.883544622*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 1}</code><br><code>3.011056351+1.038481289*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 2}</code><br><code>-.5379125964-.9060977833*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 3}</code><br><code>6.264823652-1.883544629*I <- {z = 2^(1/2)+I*2^(1/2), m = 3, n = 1}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-6.264823652701258, 1.8835446212245168] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.0110563535593116, 1.0384812903661842] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.537912595321433, -0.9060977859421694] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.264823652701258, -1.8835446212245168] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
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| [https://dlmf.nist.gov/10.34.E6 10.34.E6] || [[Item:Q3547|<math>\modBesselK{n}@{ze^{m\pi i}} = -(-1)^{n(m-1)}m\modBesselK{n}@{ze^{-\pi i}}+(-1)^{nm}(m+ 1)\modBesselK{n}@{z}</math>]] || <code>BesselK(n, z*exp(m*Pi*I))= -(- 1)^(n*(m - 1))* m*BesselK(n, z*exp(- Pi*I))+(- 1)^(n*m)*(m + 1)* BesselK(n, z)</code> || <code>BesselK[n, z*Exp[m*Pi*I]]= -(- 1)^(n*(m - 1))* m*BesselK[n, z*Exp[- Pi*I]]+(- 1)^(n*m)*(m + 1)* BesselK[n, z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-6.264823648+1.883544620*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 1}</code><br><code>-3.011056351-1.038481291*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 2}</code><br><code>-.537912592-.9060977875*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 3}</code><br><code>6.264823649-1.883544623*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 1}</code><br><code>-3.011056353-1.038481289*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 2}</code><br><code>.537912594+.9060977871*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 3}</code><br><code>-12.52964729+3.767089239*I <- {z = 2^(1/2)+I*2^(1/2), m = 3, n = 1}</code><br><code>-6.022112703-2.076962582*I <- {z = 2^(1/2)+I*2^(1/2), m = 3, n = 2}</code><br><code>-1.075825185-1.812195575*I <- {z = 2^(1/2)+I*2^(1/2), m = 3, n = 3}</code><br><code>-6.264823652-1.883544626*I <- {z = 2^(1/2)-I*2^(1/2), m = 1, n = 1}</code><br><code>-3.011056353+1.038481287*I <- {z = 2^(1/2)-I*2^(1/2), m = 1, n = 2}</code><br><code>-.537912597+.9060977830*I <- {z = 2^(1/2)-I*2^(1/2), m = 1, n = 3}</code><br><code>6.264823650+1.883544623*I <- {z = 2^(1/2)-I*2^(1/2), m = 2, n = 1}</code><br><code>-3.011056351+1.038481289*I <- {z = 2^(1/2)-I*2^(1/2), m = 2, n = 2}</code><br><code>.537912596-.9060977834*I <- {z = 2^(1/2)-I*2^(1/2), m = 2, n = 3}</code><br><code>-12.52964730-3.767089251*I <- {z = 2^(1/2)-I*2^(1/2), m = 3, n = 1}</code><br><code>-6.022112705+2.076962575*I <- {z = 2^(1/2)-I*2^(1/2), m = 3, n = 2}</code><br><code>-1.075825194+1.812195566*I <- {z = 2^(1/2)-I*2^(1/2), m = 3, n = 3}</code><br><code>-6.264823650+1.883544622*I <- {z = -2^(1/2)-I*2^(1/2), m = 1, n = 1}</code><br><code>3.011056351+1.038481289*I <- {z = -2^(1/2)-I*2^(1/2), m = 1, n = 2}</code><br><code>-.537912596-.9060977833*I <- {z = -2^(1/2)-I*2^(1/2), m = 1, n = 3}</code><br><code>6.264823651-1.883544626*I <- {z = -2^(1/2)-I*2^(1/2), m = 2, n = 1}</code><br><code>3.011056353+1.038481288*I <- {z = -2^(1/2)-I*2^(1/2), m = 2, n = 2}</code><br><code>.537912597+.9060977829*I <- {z = -2^(1/2)-I*2^(1/2), m = 2, n = 3}</code><br><code>-12.52964730+3.767089245*I <- {z = -2^(1/2)-I*2^(1/2), m = 3, n = 1}</code><br><code>6.022112702+2.076962579*I <- {z = -2^(1/2)-I*2^(1/2), m = 3, n = 2}</code><br><code>-1.075825192-1.812195566*I <- {z = -2^(1/2)-I*2^(1/2), m = 3, n = 3}</code><br><code>-6.264823649-1.883544623*I <- {z = -2^(1/2)+I*2^(1/2), m = 1, n = 1}</code><br><code>3.011056353-1.038481289*I <- {z = -2^(1/2)+I*2^(1/2), m = 1, n = 2}</code><br><code>-.537912594+.9060977870*I <- {z = -2^(1/2)+I*2^(1/2), m = 1, n = 3}</code><br><code>6.264823647+1.883544620*I <- {z = -2^(1/2)+I*2^(1/2), m = 2, n = 1}</code><br><code>3.011056351-1.038481291*I <- {z = -2^(1/2)+I*2^(1/2), m = 2, n = 2}</code><br><code>.537912592-.9060977874*I <- {z = -2^(1/2)+I*2^(1/2), m = 2, n = 3}</code><br><code>-12.52964730-3.767089245*I <- {z = -2^(1/2)+I*2^(1/2), m = 3, n = 1}</code><br><code>6.022112706-2.076962578*I <- {z = -2^(1/2)+I*2^(1/2), m = 3, n = 2}</code><br><code>-1.075825188+1.812195574*I <- {z = -2^(1/2)+I*2^(1/2), m = 3, n = 3}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-6.264823652701258, 1.8835446212245168] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.0110563535593116, -1.0384812903661842] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.537912595321433, -0.9060977859421694] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.264823652701258, -1.8835446212245168] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.0110563535593116, -1.0384812903661842] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.537912595321433, 0.9060977859421694] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-12.529647305402516, 3.7670892424490336] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.022112707118623, -2.0769625807323684] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.075825190642866, -1.8121955718843388] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.264823652701258, -1.8835446212245168] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.0110563535593116, 1.0384812903661842] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.537912595321433, 0.9060977859421694] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.264823652701258, 1.8835446212245168] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.0110563535593116, 1.0384812903661842] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.537912595321433, -0.9060977859421694] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-12.529647305402516, -3.7670892424490336] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.022112707118623, 2.0769625807323684] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.075825190642866, 1.8121955718843388] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.264823652701258, 1.8835446212245168] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.0110563535593116, 1.0384812903661842] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.537912595321433, -0.9060977859421694] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.264823652701258, -1.8835446212245168] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.0110563535593116, 1.0384812903661842] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.537912595321433, 0.9060977859421694] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-12.529647305402516, 3.7670892424490336] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.022112707118623, 2.0769625807323684] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.075825190642866, -1.8121955718843388] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.264823652701258, -1.8835446212245168] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.0110563535593116, -1.0384812903661842] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.537912595321433, 0.9060977859421694] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.264823652701258, 1.8835446212245168] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.0110563535593116, -1.0384812903661842] <- {Rule[m, 2], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.537912595321433, -0.9060977859421694] <- {Rule[m, 2], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-12.529647305402516, -3.7670892424490336] <- {Rule[m, 3], Rule[n, 1], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.022112707118623, -2.0769625807323684] <- {Rule[m, 3], Rule[n, 2], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-1.075825190642866, 1.8121955718843388] <- {Rule[m, 3], Rule[n, 3], Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.34.E6 10.34.E6] || [[Item:Q3547|<math>\modBesselK{n}@{ze^{m\pi i}} = -(-1)^{n(m-1)}m\modBesselK{n}@{ze^{-\pi i}}+(-1)^{nm}(m+ 1)\modBesselK{n}@{z}</math>]] || <code>BesselK(n, z*exp(m*Pi*I))= -(- 1)^(n*(m - 1))* m*BesselK(n, z*exp(- Pi*I))+(- 1)^(n*m)*(m + 1)* BesselK(n, z)</code> || <code>BesselK[n, z*Exp[m*Pi*I]]= -(- 1)^(n*(m - 1))* m*BesselK[n, z*Exp[- Pi*I]]+(- 1)^(n*m)*(m + 1)* BesselK[n, z]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-6.264823648+1.883544620*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 1}</code><br><code>-3.011056351-1.038481291*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 2}</code><br><code>-.537912592-.9060977875*I <- {z = 2^(1/2)+I*2^(1/2), m = 1, n = 3}</code><br><code>6.264823649-1.883544623*I <- {z = 2^(1/2)+I*2^(1/2), m = 2, n = 1}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-6.264823652701258, 1.8835446212245168] <- {Rule[m, 1], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.0110563535593116, -1.0384812903661842] <- {Rule[m, 1], Rule[n, 2], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.537912595321433, -0.9060977859421694] <- {Rule[m, 1], Rule[n, 3], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.264823652701258, -1.8835446212245168] <- {Rule[m, 2], Rule[n, 1], Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.34#Ex1 10.34#Ex1] || [[Item:Q3548|<math>\modBesselI{\nu}@{\conj{z}} = \conj{\modBesselI{\nu}@{z}}</math>]] || <code>BesselI(nu, conjugate(z))= conjugate(BesselI(nu, z))</code> || <code>BesselI[\[Nu], Conjugate[z]]= Conjugate[BesselI[\[Nu], z]]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-3.044981713-1.831851844*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>3.044981713-1.831851844*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>25.45117532+34.79009675*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-25.45117532+34.79009675*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>3.044981713+1.831851844*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-3.044981713+1.831851844*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-25.45117532-34.79009675*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>25.45117532-34.79009675*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>6.076963210+4.112580726*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-6.076963210+4.112580726*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>256.9932716+110.4187598*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-256.9932716+110.4187598*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-6.076963210-4.112580726*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>6.076963210-4.112580726*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-256.9932716-110.4187598*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>256.9932716-110.4187598*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-3.0449817151811125, -1.8318518429593253] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.0449817151811125, 1.8318518429593253] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.0769632034829115, 4.112580738730825] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.0769632034829115, -4.112580738730825] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.0449817151811125, -1.8318518429593253] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.0449817151811125, 1.8318518429593253] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.0769632034829115, 4.112580738730825] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.0769632034829115, -4.112580738730825] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[25.451175324446666, 34.79009681739971] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-25.451175324446666, -34.79009681739971] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[256.9932722444195, 110.41875947888953] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-256.9932722444195, -110.41875947888953] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-25.451175324446666, 34.79009681739971] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[25.451175324446666, -34.79009681739971] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-256.9932722444195, 110.41875947888953] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[256.9932722444195, -110.41875947888953] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.34#Ex1 10.34#Ex1] || [[Item:Q3548|<math>\modBesselI{\nu}@{\conj{z}} = \conj{\modBesselI{\nu}@{z}}</math>]] || <code>BesselI(nu, conjugate(z))= conjugate(BesselI(nu, z))</code> || <code>BesselI[\[Nu], Conjugate[z]]= Conjugate[BesselI[\[Nu], z]]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-3.044981713-1.831851844*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>3.044981713-1.831851844*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>25.45117532+34.79009675*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-25.45117532+34.79009675*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-3.0449817151811125, -1.8318518429593253] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[3.0449817151811125, 1.8318518429593253] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[6.0769632034829115, 4.112580738730825] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-6.0769632034829115, -4.112580738730825] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
| [https://dlmf.nist.gov/10.34#Ex2 10.34#Ex2] || [[Item:Q3549|<math>\modBesselK{\nu}@{\conj{z}} = \conj{\modBesselK{\nu}@{z}}</math>]] || <code>BesselK(nu, conjugate(z))= conjugate(BesselK(nu, z))</code> || <code>BesselK[\[Nu], Conjugate[z]]= Conjugate[BesselK[\[Nu], z]]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-.2418444739-.2420650681*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>.2418444739-.2420650681*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-9.672734607+.86628375e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>9.672734607+.86628375e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>.2418444739+.2420650681*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-.2418444739+.2420650681*I <- {nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>9.672734607-.86628375e-1*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-9.672734607-.86628375e-1*I <- {nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>-.2418444739-.2420650681*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>.2418444739-.2420650681*I <- {nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-9.672734607+.86628375e-1*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>9.672734607+.86628375e-1*I <- {nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>.2418444739+.2420650681*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>-.2418444739+.2420650681*I <- {nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>9.672734607-.86628375e-1*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>-9.672734607-.86628375e-1*I <- {nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-0.2418444736872933, -0.24206506816430606] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.2418444736872933, 0.24206506816430606] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.2418444736872933, -0.24206506816430606] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.2418444736872933, 0.24206506816430606] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.2418444736872933, -0.24206506816430606] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.2418444736872933, 0.24206506816430606] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.2418444736872933, -0.24206506816430606] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.2418444736872933, 0.24206506816430606] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9.672734609841745, 0.08662838008535645] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[9.672734609841745, -0.08662838008535645] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9.672734609841745, 0.08662838008535645] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[9.672734609841745, -0.08662838008535645] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[9.672734609841745, 0.08662838008535645] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9.672734609841745, -0.08662838008535645] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[9.672734609841745, 0.08662838008535645] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-9.672734609841745, -0.08662838008535645] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.34#Ex2 10.34#Ex2] || [[Item:Q3549|<math>\modBesselK{\nu}@{\conj{z}} = \conj{\modBesselK{\nu}@{z}}</math>]] || <code>BesselK(nu, conjugate(z))= conjugate(BesselK(nu, z))</code> || <code>BesselK[\[Nu], Conjugate[z]]= Conjugate[BesselK[\[Nu], z]]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>-.2418444739-.2420650681*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>.2418444739-.2420650681*I <- {nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>-9.672734607+.86628375e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>9.672734607+.86628375e-1*I <- {nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-0.2418444736872933, -0.24206506816430606] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.2418444736872933, 0.24206506816430606] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.2418444736872933, -0.24206506816430606] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.2418444736872933, 0.24206506816430606] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[ν, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.35.E1 10.35.E1] || [[Item:Q3550|<math>e^{\frac{1}{2}z(t+t^{-1})} = \sum_{m=-\infty}^{\infty}t^{m}\modBesselI{m}@{z}</math>]] || <code>exp((1)/(2)*z*(t + (t)^(- 1)))= sum((t)^(m)* BesselI(m, z), m = - infinity..infinity)</code> || <code>Exp[Divide[1,2]*z*(t + (t)^(- 1))]= Sum[(t)^(m)* BesselI[m, z], {m, - Infinity, Infinity}]</code> || Failure || Failure || Skip || Error  
 
| [https://dlmf.nist.gov/10.35.E1 10.35.E1] || [[Item:Q3550|<math>e^{\frac{1}{2}z(t+t^{-1})} = \sum_{m=-\infty}^{\infty}t^{m}\modBesselI{m}@{z}</math>]] || <code>exp((1)/(2)*z*(t + (t)^(- 1)))= sum((t)^(m)* BesselI(m, z), m = - infinity..infinity)</code> || <code>Exp[Divide[1,2]*z*(t + (t)^(- 1))]= Sum[(t)^(m)* BesselI[m, z], {m, - Infinity, Infinity}]</code> || Failure || Failure || Skip || Error  
Line 597: Line 597:
 
| [https://dlmf.nist.gov/10.35.E2 10.35.E2] || [[Item:Q3551|<math>e^{z\cos@@{\theta}} = \modBesselI{0}@{z}+2\sum_{k=1}^{\infty}\modBesselI{k}@{z}\cos@{k\theta}</math>]] || <code>exp(z*cos(theta))= BesselI(0, z)+ 2*sum(BesselI(k, z)*cos(k*theta), k = 1..infinity)</code> || <code>Exp[z*Cos[\[Theta]]]= BesselI[0, z]+ 2*Sum[BesselI[k, z]*Cos[k*\[Theta]], {k, 1, Infinity}]</code> || Failure || Successful || Skip || -  
 
| [https://dlmf.nist.gov/10.35.E2 10.35.E2] || [[Item:Q3551|<math>e^{z\cos@@{\theta}} = \modBesselI{0}@{z}+2\sum_{k=1}^{\infty}\modBesselI{k}@{z}\cos@{k\theta}</math>]] || <code>exp(z*cos(theta))= BesselI(0, z)+ 2*sum(BesselI(k, z)*cos(k*theta), k = 1..infinity)</code> || <code>Exp[z*Cos[\[Theta]]]= BesselI[0, z]+ 2*Sum[BesselI[k, z]*Cos[k*\[Theta]], {k, 1, Infinity}]</code> || Failure || Successful || Skip || -  
 
|-
 
|-
| [https://dlmf.nist.gov/10.35.E3 10.35.E3] || [[Item:Q3552|<math>e^{z\sin@@{\theta}} = \modBesselI{0}@{z}+2\sum_{k=0}^{\infty}(-1)^{k}\modBesselI{2k+1}@{z}\sin@{(2k+1)\theta}+2\sum_{k=1}^{\infty}(-1)^{k}\modBesselI{2k}@{z}\cos@{2k\theta}</math>]] || <code>exp(z*sin(theta))= BesselI(0, z)+ 2*sum((- 1)^(k)* BesselI(2*k + 1, z)*sin((2*k + 1)* theta), k = 0..infinity)+ 2*sum((- 1)^(k)* BesselI(2*k, z)*cos(2*k*theta), k = 1..infinity)</code> || <code>Exp[z*Sin[\[Theta]]]= BesselI[0, z]+ 2*Sum[(- 1)^(k)* BesselI[2*k + 1, z]*Sin[(2*k + 1)* \[Theta]], {k, 0, Infinity}]+ 2*Sum[(- 1)^(k)* BesselI[2*k, z]*Cos[2*k*\[Theta]], {k, 1, Infinity}]</code> || Failure || Failure || Skip || Error
+
| [https://dlmf.nist.gov/10.35.E3 10.35.E3] || [[Item:Q3552|<math>e^{z\sin@@{\theta}} = \modBesselI{0}@{z}+2\sum_{k=0}^{\infty}(-1)^{k}\modBesselI{2k+1}@{z}\sin@{(2k+1)\theta}+2\sum_{k=1}^{\infty}(-1)^{k}\modBesselI{2k}@{z}\cos@{2k\theta}</math>]] || <code>exp(z*sin(theta))= BesselI(0, z)+ 2*sum((- 1)^(k)* BesselI(2*k + 1, z)*sin((2*k + 1)* theta), k = 0..infinity)+ 2*sum((- 1)^(k)* BesselI(2*k, z)*cos(2*k*theta), k = 1..infinity)</code> || <code>Exp[z*Sin[\[Theta]]]= BesselI[0, z]+ 2*Sum[(- 1)^(k)* BesselI[2*k + 1, z]*Sin[(2*k + 1)* \[Theta]], {k, 0, Infinity}]+ 2*Sum[(- 1)^(k)* BesselI[2*k, z]*Cos[2*k*\[Theta]], {k, 1, Infinity}]</code> || Failure || Failure || Skip || Skip
 
|-
 
|-
| [https://dlmf.nist.gov/10.37.E1 10.37.E1] || [[Item:Q3559|<math>|\modBesselK{\nu}@{z}| < |\modBesselK{\mu}@{z}|</math>]] || <code>abs(BesselK(nu, z))<abs(BesselK(mu, z))</code> || <code>Abs[BesselK[\[Nu], z]]<Abs[BesselK[\[Mu], z]]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>.3485691514 < .3485691514 <- {mu = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>.1206554296 < .1206554296 <- {mu = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>1.592895962 < 1.592895962 <- {mu = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>10.33727274 < 10.33727274 <- {mu = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>.3485691514 < .1206554296 <- {mu = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>10.33727274 < 1.592895962 <- {mu = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>.3485691514 < .3485691514 <- {mu = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>.1206554296 < .1206554296 <- {mu = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>1.592895962 < 1.592895962 <- {mu = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>10.33727274 < 10.33727274 <- {mu = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>.3485691514 < .1206554296 <- {mu = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>10.33727274 < 1.592895962 <- {mu = 2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>.3485691514 < .1206554296 <- {mu = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>10.33727274 < 1.592895962 <- {mu = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>.1206554296 < .1206554296 <- {mu = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>.3485691514 < .3485691514 <- {mu = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>10.33727274 < 10.33727274 <- {mu = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>1.592895962 < 1.592895962 <- {mu = 2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>.3485691514 < .1206554296 <- {mu = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>10.33727274 < 1.592895962 <- {mu = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>.1206554296 < .1206554296 <- {mu = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>.3485691514 < .3485691514 <- {mu = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>10.33727274 < 10.33727274 <- {mu = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>1.592895962 < 1.592895962 <- {mu = 2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>.3485691514 < .3485691514 <- {mu = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>.1206554296 < .1206554296 <- {mu = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>1.592895962 < 1.592895962 <- {mu = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>10.33727274 < 10.33727274 <- {mu = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>.3485691514 < .1206554296 <- {mu = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>10.33727274 < 1.592895962 <- {mu = -2^(1/2)-I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>.3485691514 < .3485691514 <- {mu = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>.1206554296 < .1206554296 <- {mu = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>1.592895962 < 1.592895962 <- {mu = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>10.33727274 < 10.33727274 <- {mu = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>.3485691514 < .1206554296 <- {mu = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>10.33727274 < 1.592895962 <- {mu = -2^(1/2)-I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>.3485691514 < .1206554296 <- {mu = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>10.33727274 < 1.592895962 <- {mu = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>.1206554296 < .1206554296 <- {mu = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>.3485691514 < .3485691514 <- {mu = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>10.33727274 < 10.33727274 <- {mu = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>1.592895962 < 1.592895962 <- {mu = -2^(1/2)+I*2^(1/2), nu = 2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>.3485691514 < .1206554296 <- {mu = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>10.33727274 < 1.592895962 <- {mu = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)-I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br><code>.1206554296 < .1206554296 <- {mu = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>.3485691514 < .3485691514 <- {mu = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>10.33727274 < 10.33727274 <- {mu = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>1.592895962 < 1.592895962 <- {mu = -2^(1/2)+I*2^(1/2), nu = -2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br></div></div> || Successful  
+
| [https://dlmf.nist.gov/10.37.E1 10.37.E1] || [[Item:Q3559|<math>|\modBesselK{\nu}@{z}| < |\modBesselK{\mu}@{z}|</math>]] || <code>abs(BesselK(nu, z))<abs(BesselK(mu, z))</code> || <code>Abs[BesselK[\[Nu], z]]<Abs[BesselK[\[Mu], z]]</code> || Failure || Failure || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>.3485691514 < .3485691514 <- {mu = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)+I*2^(1/2)}</code><br><code>.1206554296 < .1206554296 <- {mu = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), z = 2^(1/2)-I*2^(1/2)}</code><br><code>1.592895962 < 1.592895962 <- {mu = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)-I*2^(1/2)}</code><br><code>10.33727274 < 10.33727274 <- {mu = 2^(1/2)+I*2^(1/2), nu = 2^(1/2)+I*2^(1/2), z = -2^(1/2)+I*2^(1/2)}</code><br>... skip entries to safe data<br></div></div> || Successful  
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.38.E1 10.38.E1] || [[Item:Q3560|<math>\pderiv{\modBesselI{+\nu}@{z}}{\nu} = +\modBesselI{+\nu}@{z}\ln@{\tfrac{1}{2}z}-(\tfrac{1}{2}z)^{+\nu}\sum_{k=0}^{\infty}\frac{\digamma@{k+1+\nu}}{\EulerGamma@{k+1+\nu}}\frac{(\frac{1}{4}z^{2})^{k}}{k!}</math>]] || <code>diff(BesselI(+ nu, z), nu)= + BesselI(+ nu, z)*ln((1)/(2)*z)-((1)/(2)*z)^(+ nu)* sum((Psi(k + 1 + nu))/(GAMMA(k + 1 + nu))*(((1)/(4)*(z)^(2))^(k))/(factorial(k)), k = 0..infinity)</code> || <code>D[BesselI[+ \[Nu], z], \[Nu]]= + BesselI[+ \[Nu], z]*Log[Divide[1,2]*z]-(Divide[1,2]*z)^(+ \[Nu])* Sum[Divide[PolyGamma[k + 1 + \[Nu]],Gamma[k + 1 + \[Nu]]]*Divide[(Divide[1,4]*(z)^(2))^(k),(k)!], {k, 0, Infinity}]</code> || Failure || Failure || Skip || Successful  
 
| [https://dlmf.nist.gov/10.38.E1 10.38.E1] || [[Item:Q3560|<math>\pderiv{\modBesselI{+\nu}@{z}}{\nu} = +\modBesselI{+\nu}@{z}\ln@{\tfrac{1}{2}z}-(\tfrac{1}{2}z)^{+\nu}\sum_{k=0}^{\infty}\frac{\digamma@{k+1+\nu}}{\EulerGamma@{k+1+\nu}}\frac{(\frac{1}{4}z^{2})^{k}}{k!}</math>]] || <code>diff(BesselI(+ nu, z), nu)= + BesselI(+ nu, z)*ln((1)/(2)*z)-((1)/(2)*z)^(+ nu)* sum((Psi(k + 1 + nu))/(GAMMA(k + 1 + nu))*(((1)/(4)*(z)^(2))^(k))/(factorial(k)), k = 0..infinity)</code> || <code>D[BesselI[+ \[Nu], z], \[Nu]]= + BesselI[+ \[Nu], z]*Log[Divide[1,2]*z]-(Divide[1,2]*z)^(+ \[Nu])* Sum[Divide[PolyGamma[k + 1 + \[Nu]],Gamma[k + 1 + \[Nu]]]*Divide[(Divide[1,4]*(z)^(2))^(k),(k)!], {k, 0, Infinity}]</code> || Failure || Failure || Skip || Successful  
Line 617: Line 617:
 
| [https://dlmf.nist.gov/10.39.E3 10.39.E3] || [[Item:Q3571|<math>\modBesselK{\frac{1}{4}}@{z} = \pi^{\frac{1}{2}}z^{-\frac{1}{4}}\paraU@{0}{2z^{\frac{1}{2}}}</math>]] || <code>BesselK((1)/(4), z)= (Pi)^((1)/(2))* (z)^(-(1)/(4))* CylinderU(0, 2*(z)^((1)/(2)))</code> || <code>BesselK[Divide[1,4], z]= (Pi)^(Divide[1,2])* (z)^(-Divide[1,4])* ParabolicCylinderD[-0 - 1/2, 2*(z)^(Divide[1,2])]</code> || Successful || Failure || - || Successful  
 
| [https://dlmf.nist.gov/10.39.E3 10.39.E3] || [[Item:Q3571|<math>\modBesselK{\frac{1}{4}}@{z} = \pi^{\frac{1}{2}}z^{-\frac{1}{4}}\paraU@{0}{2z^{\frac{1}{2}}}</math>]] || <code>BesselK((1)/(4), z)= (Pi)^((1)/(2))* (z)^(-(1)/(4))* CylinderU(0, 2*(z)^((1)/(2)))</code> || <code>BesselK[Divide[1,4], z]= (Pi)^(Divide[1,2])* (z)^(-Divide[1,4])* ParabolicCylinderD[-0 - 1/2, 2*(z)^(Divide[1,2])]</code> || Successful || Failure || - || Successful  
 
|-
 
|-
| [https://dlmf.nist.gov/10.39.E4 10.39.E4] || [[Item:Q3572|<math>\modBesselK{\frac{3}{4}}@{z} = \tfrac{1}{2}\pi^{\frac{1}{2}}z^{-\frac{3}{4}}\left(\tfrac{1}{2}\paraU@{1}{2z^{\frac{1}{2}}}+\paraU@{-1}{2z^{\frac{1}{2}}}\right)</math>]] || <code>BesselK((3)/(4), z)=(1)/(2)*(Pi)^((1)/(2))* (z)^(-(3)/(4))*((1)/(2)*CylinderU(1, 2*(z)^((1)/(2)))+ CylinderU(- 1, 2*(z)^((1)/(2))))</code> || <code>BesselK[Divide[3,4], z]=Divide[1,2]*(Pi)^(Divide[1,2])* (z)^(-Divide[3,4])*(Divide[1,2]*ParabolicCylinderD[-1 - 1/2, 2*(z)^(Divide[1,2])]+ ParabolicCylinderD[-- 1 - 1/2, 2*(z)^(Divide[1,2])])</code> || Failure || Failure || Successful || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-0.24654129480515125, -0.14875200582767972] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.5994174244432623, -0.2209182787401364] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.045375099662282176, -0.23186773164961136] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.05931481647092712, -0.20328323070426188] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.5994174244432623, 0.2209182787401364] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.24654129480515125, 0.14875200582767972] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.05931481647092712, 0.20328323070426188] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.045375099662282176, 0.23186773164961136] <- {Rule[z, Times[Complex[1, -1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[21.50096571641114, 17.49733373314386] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.7886368394747882, 1.2968091649722986] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.02179413535213, 1.9098791956605563] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-4.218583915262975, 1.5203760030793994] <- {Rule[z, Times[Complex[-1, -1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.7886368394747882, -1.2968091649722986] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[21.50096571641114, -17.49733373314386] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-4.218583915262975, -1.5203760030793994] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-3.02179413535213, -1.9098791956605563] <- {Rule[z, Times[Complex[-1, 1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br></div></div>  
+
| [https://dlmf.nist.gov/10.39.E4 10.39.E4] || [[Item:Q3572|<math>\modBesselK{\frac{3}{4}}@{z} = \tfrac{1}{2}\pi^{\frac{1}{2}}z^{-\frac{3}{4}}\left(\tfrac{1}{2}\paraU@{1}{2z^{\frac{1}{2}}}+\paraU@{-1}{2z^{\frac{1}{2}}}\right)</math>]] || <code>BesselK((3)/(4), z)=(1)/(2)*(Pi)^((1)/(2))* (z)^(-(3)/(4))*((1)/(2)*CylinderU(1, 2*(z)^((1)/(2)))+ CylinderU(- 1, 2*(z)^((1)/(2))))</code> || <code>BesselK[Divide[3,4], z]=Divide[1,2]*(Pi)^(Divide[1,2])* (z)^(-Divide[3,4])*(Divide[1,2]*ParabolicCylinderD[-1 - 1/2, 2*(z)^(Divide[1,2])]+ ParabolicCylinderD[-- 1 - 1/2, 2*(z)^(Divide[1,2])])</code> || Failure || Failure || Successful || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[-0.24654129480515125, -0.14875200582767972] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[0.5994174244432623, -0.2209182787401364] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.045375099662282176, -0.23186773164961136] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[-1, -1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[-0.05931481647092712, -0.20328323070426188] <- {Rule[z, Times[Complex[1, 1], Power[2, Rational[1, 2]]]], Rule[PreDecrement[1], Times[Complex[-1, 1], Power[2, Rational[1, 2]]]]}</code><br>... skip entries to safe data<br></div></div>  
 
|-
 
|-
 
| [https://dlmf.nist.gov/10.39.E5 10.39.E5] || [[Item:Q3573|<math>\modBesselI{\nu}@{z} = \frac{(\tfrac{1}{2}z)^{\nu}e^{+ z}}{\EulerGamma@{\nu+1}}\KummerconfhyperM@{\nu+\tfrac{1}{2}}{2\nu+1}{- 2z}</math>]] || <code>BesselI(nu, z)=(((1)/(2)*z)^(nu)* exp(+ z))/(GAMMA(nu + 1))*KummerM(nu +(1)/(2), 2*nu + 1, - 2*z)</code> || <code>BesselI[\[Nu], z]=Divide[(Divide[1,2]*z)^(\[Nu])* Exp[+ z],Gamma[\[Nu]+ 1]]*Hypergeometric1F1[\[Nu]+Divide[1,2], 2*\[Nu]+ 1, - 2*z]</code> || Failure || Successful || Successful || -  
 
| [https://dlmf.nist.gov/10.39.E5 10.39.E5] || [[Item:Q3573|<math>\modBesselI{\nu}@{z} = \frac{(\tfrac{1}{2}z)^{\nu}e^{+ z}}{\EulerGamma@{\nu+1}}\KummerconfhyperM@{\nu+\tfrac{1}{2}}{2\nu+1}{- 2z}</math>]] || <code>BesselI(nu, z)=(((1)/(2)*z)^(nu)* exp(+ z))/(GAMMA(nu + 1))*KummerM(nu +(1)/(2), 2*nu + 1, - 2*z)</code> || <code>BesselI[\[Nu], z]=Divide[(Divide[1,2]*z)^(\[Nu])* Exp[+ z],Gamma[\[Nu]+ 1]]*Hypergeometric1F1[\[Nu]+Divide[1,2], 2*\[Nu]+ 1, - 2*z]</code> || Failure || Successful || Successful || -  
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| [https://dlmf.nist.gov/10.40.E13 10.40.E13] || [[Item:Q3591|<math>R_{\ell}(\nu,z) = (-1)^{\ell}2\cos@{\nu\pi}\*\left(\sum_{k=0}^{m-1}\frac{a_{k}(\nu)}{z^{k}}\scterminant{\ell-k}@{2z}+R_{m,\ell}(\nu,z)\right)</math>]] || <code>R[ell]*(nu , z)=(- 1)^(ell)* 2*cos(nu*Pi)*(sum((a[k]*(nu))/((z)^(k))*(exp(2*z)/(2*Pi))*GAMMA(ell - k)*GAMMA(1-ell - k,2*z), k = 0..m - 1)+ R[m , ell]*(nu , z))</code> || <code>Error</code> || Failure || Error || Skip || -  
 
| [https://dlmf.nist.gov/10.40.E13 10.40.E13] || [[Item:Q3591|<math>R_{\ell}(\nu,z) = (-1)^{\ell}2\cos@{\nu\pi}\*\left(\sum_{k=0}^{m-1}\frac{a_{k}(\nu)}{z^{k}}\scterminant{\ell-k}@{2z}+R_{m,\ell}(\nu,z)\right)</math>]] || <code>R[ell]*(nu , z)=(- 1)^(ell)* 2*cos(nu*Pi)*(sum((a[k]*(nu))/((z)^(k))*(exp(2*z)/(2*Pi))*GAMMA(ell - k)*GAMMA(1-ell - k,2*z), k = 0..m - 1)+ R[m , ell]*(nu , z))</code> || <code>Error</code> || Failure || Error || Skip || -  
 
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| [https://dlmf.nist.gov/10.43.E4 10.43.E4] || [[Item:Q3618|<math>\int_{0}^{x}\frac{\modBesselI{0}@{t}-1}{t}\diff{t} = \frac{1}{2}\sum_{k=1}^{\infty}(-1)^{k-1}\frac{\digamma@{k+1}-\digamma@{1}}{k!}(\tfrac{1}{2}x)^{k}\modBesselI{k}@{x}</math>]] || <code>int((BesselI(0, t)- 1)/(t), t = 0..x)=(1)/(2)*sum((- 1)^(k - 1)*(Psi(k + 1)- Psi(1))/(factorial(k))*((1)/(2)*x)^(k)* BesselI(k, x), k = 1..infinity)</code> || <code>Integrate[Divide[BesselI[0, t]- 1,t], {t, 0, x}]=Divide[1,2]*Sum[(- 1)^(k - 1)*Divide[PolyGamma[k + 1]- PolyGamma[1],(k)!]*(Divide[1,2]*x)^(k)* BesselI[k, x], {k, 1, Infinity}]</code> || Failure || Failure || Skip || <div class="toccolours mw-collapsible mw-collapsed">Fail<div class="mw-collapsible-content"><code>Complex[1.4142135623730951, 1.4142135623730951] <- {Rule[ConditionalExpression[Plus[Times[Rational[1, 8], Power[x, 2], HypergeometricPFQ[{1, 1}, {2, 2, 2}, Times[Rational[1, 4], Power[x, 2]]]], Times[Rational[-1, 2], Sum[Times[Power[-1, Plus[-1, k]], Power[2, Times[-1, k]], Power[x, k], BesselI[k, x], Power[Factorial[k], -1], Plus[EulerGamma, PolyGamma[0, Plus[1, k]]]], {k, 1, DirectedInfinity[1]}]]], Or[Greater[Re[x], 0], And[GreaterEqual[Re[x], 0], Greater[Im[x], 0]]]], Times[Complex[1, 1], Power[2, Rational[1, 2]]]]}</code><br><code>Complex[1.4142135623730951, -1.4142135623730951] <- {Rule[ConditionalExpression[Plus[Times[Rational[1, 8], Power[x, 2], HypergeometricPFQ[{1, 1}, {2, 2, 2}, Times[Rational[1, 4], Power[x, 2]]]], Times[Rational[-1, 2], Sum[Times[Power[-1, Plus[-1, k]], Power[2, Times[-1, k]], Power[x, k], BesselI[k, x], Power[Factorial[k], -1], Plus[EulerGamma, PolyGamma[0, Plus[1, k]]