We extend previous lists by numerically computing approximations to many L-functions of degree
d
=
3
d=3
, conductor
N
=
1
N=1
, and small spectral parameters. We sketch how previous arguments extend to show that for very small spectral parameters there are no such L-functions. Using the case
(
d
,
N
)
=
(
3
,
1
)
(d,N) = (3,1)
as a guide, we explain how the set of all L-functions with any fixed invariants
(
d
,
N
)
(d,N)
can be viewed as a landscape of points in a
(
d
−
1
)
(d-1)
-dimensional Euclidean space. We use Plancherel measure to identify the expected density of points for large spectral parameters for general
(
d
,
N
)
(d,N)
. The points from our data are close to the origin and we find that they have smaller density.