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I'm using the following script to create path curve:

def create_curve(coords_list):
    crv = bpy.data.curves.new('crv', 'CURVE')
    crv.dimensions = '3D'
    spline = crv.splines.new(type='NURBS')
    spline.points.add(len(coords_list) - 1) 
    for p, new_co in zip(spline.points, coords_list):
        p.co = (new_co + [1.0])  # (add nurbs 
    obj = bpy.data.objects.new('object_name', crv)
    bpy.data.scenes[0].collection.objects.link(obj)

coords_list generated using another script. here are the first coordinates in coords_list:

coords_list[0] = [0,0,1]
coords_list[1] = [1.079576297914498, 0.12957629791449818, 1]
coords_list[2] = [1.796242964581165, -0.5870903687521685, 1]

But if you look at the layout tab it looks like the first and second coordinates were not included in the path curve for some reason.

enter image description here

What am I doing wrong? How can I print all the points ensamble the path curve?

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If you want to include the first and last coordinates you need to add the following lines after creating the curve:

spline.use_endpoint_u = True
spline.use_endpoint_v = True

so you finaly get:

def create_curve(coords_list):
    crv = bpy.data.curves.new('crv', 'CURVE')
    crv.dimensions = '3D'
    spline = crv.splines.new(type='NURBS')
    spline.points.add(len(coords_list) - 1) 
    for p, new_co in zip(spline.points, coords_list):
        p.co = (new_co + [1.0])
    spline.use_endpoint_u = True
    spline.use_endpoint_v = True
    obj = bpy.data.objects.new('object_name', crv)
    bpy.data.scenes[0].collection.objects.link(obj)
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