On the critical indices in three-dimensional percolation in the problems of lattice points and solid spheres

Three-dimensional lattice points problems for simple cubic lattice and solid spheres in chaotic motion are considered. Additional (to two-exponential scaling) relations between indices are indicated: $2-\alpha-\gamma=\nu$ (or $\nu d-\gamma=\nu$) and $\beta=-2\alpha$. Numerical values of three-dimensional critical indices are defined: $\alpha=-2/11$, $\eta=0,$ $\beta=4/11$, $\nu=8/11$, $\gamma=16/11$ and $\delta=5$.