Canonical forms of 2 × 2 × 2 and 2 × 2 × 2 × 2 symmetric tensors over prime fields

We consider symmetric tensors of format and over prime fields. Using computer algebra, we compute the canonical forms of these tensors. For symmetric tensors, we consider the prime fields for . For symmetric tensors, we consider the prime fields for . For each canonical form, we determine the size of its orbit and the symmetric rank of the symmetric tensors in its orbit.