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I'm founded a beta formula, but my first beta formula was been mistake because I used the condition dV/dc=0 where V=z[1]*z[2] formula mentioned up.
The true condition for border of mandel cubic perturbation fc(z)= z^3+k*z^2+c, is G=1 and for to solve (c) from kompassbrot equation is dG/dc=0 where G = |3*z[1]^2+2k*z[1]^2|*|3*z[2]^2+2k*z[2]^2| what become 9(V^2)+6kvV+4(k^2)V = (3k+9c)*v-2*(k^2)*V+9+6kc what must derivating with (c).
Then dG/dc = (3k+9c)*(dv/dc)+9v-2*(k^2)*(dV/dc)+6k =0, an equation what must solving with more carefully.
I keep trying to solving this and keep working. The result coming soon only on this topic.
I keep verifying each stage of this calculus for avoiding any mistakes.
The result will be next beta formula for KOMPASSBROT KIND 2 fractal.
When I will found the right formula for KOMPASSBROT KIND 2, this my fractal from my handraw will be rendered with my ULTRAFRACTAL

New difficulties was occured at searching formula for all kind kompassbrots:
If kompassbrot kind 3 and above need to solve algebrical equation degree five. I learnt that equation degree 5 and above certain has no solution in radicals due the Abel-Ruffini theorem at whick I found the demonstration, after I tried in vain 9 years to find a solution in radicals of algebrical equation degree 5, plus that I founded a new way of demonstration of the theorem of Abel-Ruffini just now, that equation z^5+pz^3+qz^2+rz+s =0 if has 3 real roots and yet two complex conjugates roots as solutions, neither combination z[1;2;3;4;5]=(w^k)*(A^(1/5))+(w^2k)*(B^(1/5))+(w^3k)*(C^(1/5))+(w^4k)*(D^(1/5)) can't give only three real numbers and two complex roots, where w=cos(TT/5)+i*sin(TT/5)=
(-1+sqrt(5))/2+i*(sqrt(10+2*sqrt(5))/4) and k=solution number.
 So I will limiting at kompassbrot kind 2, and I won't can to render on ULTRAFRACTAL the Kompassbrot kind over 2.
New beta formulas for Kompassbrot kind 2 coming soon.
Another beta formula c=(-k^3-9*k)/9+(1/9)*(((k*k-18)^2)*(11*k^5+36*k^3-324*k+sqrt(12*k^4-39*k^2+96+12*c*k^3+54*kc+81*c^2))/32)^(1/3)+
(1/9)*(((k*k-18)^2)*(11*k^5+36*k^3-324*k-sqrt(12*k^4-39*k^2+96+12*c*k^3+54*kc+81*c^2))/32)^(1/3).
whick unfortunethly isn't right formula, I tested allready on ULTRAFRACTAL. So I must have much patience for find the right formula. I have a fully journal with the formulas.