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Newton/Julia Fractals (1015)~(1025)

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Newton/Julia Fractal (1015)

f(z) = z - (1+z^2+z^4+z^6/20)/(12/5*z^3+27*?(?(z^2))+8*i*z+1)
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Sonate K1552
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Sonate K1553
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Sonate k1554
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Sonate K1555
イメージ 5


Sonate K1556
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Sonate K1557
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Newton/Julia Fractal (1016) ⇔ (1012)


f(z) = z - (1+z^2+z^4+z^6/20)/(12/5*z^

3+27*z^2+8*i*z+1)

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z1 = -4.359*i, 
z2 =  4.359*i, 
z3 = - 0.5135 + 0.873*i, 
z4 =   0.5135 + 0.873*i, 
z5 = - 0.5135 - 0.873*i 
z6 =   0.5135 - 0.873*i 

for the polynomial 1 + z^2 + z^4 + z^6/20 = 0.

Sonate K1559
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z3 = - 0.5135 + 0.873*i, 
z4 =   0.5135 + 0.873*i, 
z5 = - 0.5135 - 0.873*i 
z6 =   0.5135 - 0.873*i 

for the polynomial 1 + z^2 + z^4 + z^6/20 = 0.


Newton/Julia Fractal (1017)

f(z) = z - (1+z^2+z^4+z^6/20)/(12/5*i*z^3+27*z^2+8*z+1)
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Sonate K1561
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Sonate K1562
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Sonate K1563
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Newton/Julia Fractal (1018)

f(z) = z - (1+z^2+z^4+z^6/20)/(12/5*z^3+27*z^2+18*i*z+1)
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Newton/Julia Fractal (1019)

f(z) = z - (1+z^2+z^4+z^6/20)/(12/5*i*z^3+27*z^2+18*z+1)
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Newton/Julia Fractal (1020)

f(z) = z - (1+z^2+z^4+z^6/20)/(12/5*i*z^3+27*z^2+15*z+1)
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Sonate K1567
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Sonate K1568
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Newton/Julia Fractal (1021)

f(z) = z - (1+z^2+z^4+z^6/20)/(12/5*z^3+27*i*z^2+18*z+1)
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Sonate K1570
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Newton/Julia Fractal (1022)

f(z) = z - (1+z^2+z^4+z^6/20)/(5*z^5+27*z^3+i*z+1)
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Sonate K1572
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z3 = - 0.5135 + 0.873*i, 
z4 =   0.5135 + 0.873*i, 
z5 = - 0.5135 - 0.873*i 
z6 =   0.5135 - 0.873*i 

for the polynomial 1 + z^2 + z^4 + z^6/20 = 0.


Newton/Julia Fractal (1023)

f(z) = z - (1+z^2+z^4+z^6/20)/(5*z^5+27*z^2+1) 
イメージ 23



Newton/Julia Fractal (1024)

f(z) = z - (1+z^2+z^4+z^6)/(13/5*z^5+7*z^2+1)
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Newton/Julia Fractal (1025)

f(z) = z - (1+z^2+z^4+z^6/2)/(13/5*z^5+7*z^2+1)
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-5 < Re < 5, -5 < Im < 5

z1 =   1.24*i, 
z2 =  -1.24*i, 
z3 =    0.67 - 0.83*i , 
z4 =  -0.67 - 0.83*i, 
z5 =    0.67 + 0.83*i 
z6 =  -0.67 - 0.83*i 

for the polynomial 1 + z^2 + z^4 + z^6/2 = 0.

Sonate K1576
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z1 =   1.24*i, 
z2 =  -1.24*i, 
z3 =    0.67 - 0.83*i , 
z4 =  -0.67 - 0.83*i, 
z5 =    0.67 + 0.83*i 
z6 =  -0.67 - 0.83*i 

for the polynomial 1 + z^2 + z^4 + z^6/2 = 0.



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