# Problem 596: Number of lattice points in a hyperball
Let T(r) be the number of integer quadruplets x, y, z, t such that x2 +
y2 + z2 + t2 ≤ r2. In other words, T(r) is the number of lattice points
in the four-dimensional hyperball of radius r. You are given that T(2) =
89, T(5) = 3121, T(100) = 493490641 and T(104) = 49348022079085897. Find
T(108) mod 1000000007.