Suss

silviana amethyst

Equation ¶

\[ (x^2+\frac{9}{4}y^2 + z^2-1)^3 - x^2z^3 - \frac{9}{80}y^2z^3 \]

Properties: ¶

degree 6
unbounded
point singularities at (0,0,-1), and (0,0,1)
amazingly enough, a smooth singular curve at the waist of the heart.

Some story ¶

Love love love. All you need is love.

Bertini_real input files ¶

input

CONFIG
tracktype: 1;
sharpendigits: 60;
condnumthreshold: 1e300;
securitylevel: 1;
odepredictor: 2;
endgamenum: 2;
numsamplepoints: 5;
END;
INPUT

variable_group x, y, z;
function f;
f = (x^2+9/4*y^2+z^2-1)^3 - x^2*z^3-9/80*y^2*z^3;
END;