It is Know that every closed compact orientable 3-manifolde M can be represented by a 4-edge-coloured 4- valent graph called a crystallisatione of M. Casali and Grasselli proved that 3-manifold of Heeggard genu g ca be represented by crystallizatio with a very simple structure which ca be described by a 2(g+1)-tuple of non- negative integers. The sum of first g+1 integer is called complexity of the admissible 2(g+1)-tuple. If c i the complexity the the number of vertece graph i 2c. I the present paper we describe all prime 3-manifold of Heeggard genu two described by 6-tuple of complexity at most 21.
