Enumerating 3-manifolds with lengths up to 9 by a canonical order

On previous works, we enumerated the prime links with lengths up to 10 and the prime link exteriors with lengths up to 9. In this paper, we make an enumeration of the first 133 closed 3-manifolds which are the 3-manifolds with lengths up to 9 by using the enumeration of the prime link exteriors.