Newton/Julia Fractal (1080)
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Five roots are clearly found in various way.
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z1 = 1.5, z2 = - 1.5, z3 = 1.5*i, z4 = - 1.5*1 for z^4/5 - 1 = 0.
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z1= 1.057 + 1.057*i, z2 = 1.057 - 1.057*i, z3 = - 1.057 - 1.057 *i, z 4 = - 1.057 + 1.057*i for z^4/5 + 1 = 0.
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f(z) = z - (z^5-2*i)/(37*z^3+z+1)
Sonate K1747
Sonate K1748
Newton/Julia Fractal (1081)
f(z) = z - (z^5-2*i)/(37*z^3+17*z^2+1)
Newton/Julia Fractal (1082)
f(z) = z - (z^5-2*i)/(37*z^3+17*?(z^2)+1)
Sonate 1751
Newton/Julia Fractal (1083)
f(z) = z - (z^5-2*i)/(37*z^3+17*?(z^2)+1)
Sonate K1753
Newton/Julia Fractal (1084)
f(z) = z - (z^5-2*i)/(37*z^3+17*?(?(z^2))+1)
Sonate K1755
Newton/Julia Fractal (1085)
f(z) = z - (z^5/5-2*i)/(37*z^3+17*z^2+1)
Newton/Julia Fractal (1086)
f(z) = z - (z^5/5-2*i)/(37*z^3+17*?(z^2)+1)
Sonate K1758
Newton/Julia Fractal (1087)
f(z) = z - (z^5/5-1)/(37*z^3+17*z^2+1)
Newton/Julia Fractal (1088)
f(z) = z - (z^4/5-1)/(3/17*z^3+17*z^2+1)
Sonate K1761
Newton/Julia Fractal (1089)
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z1= 0.71 + 0.71*i, z2 = 0.7 -0.7*i, z3 = -0.71 - 0.71*i, z 4 = - 0.71 + 0.71*i for z^4 + 1 = 0.
f(z) = z - (z^4+1)/(3/17*z^3+17*z^2+1)
Newton/Julia Fractal (1090)
f(z) = z - (z^4/5+1)/(3/17*z^3+17*z^2+1)
Sonate K1764
Newton/Julia Fractal (1091)
f(z) = z - (z^4/10+1)/(3/17*z^3+17*z^2+1)
z1= 1.2574 + 1.2574*i, z2 = 1.2574 - 1.2574*i, z3 = -1.2574- 1.2574 *i, z 4 = - 1.2574 + 1.2574*i for z^4/10 + 1 = 0.
Newton/Julia Fractal (1092)
f(z) = z - (z^4/10-1)/(3/13*z^3+17*z^2+1)