Four different versions for your 3D printing pleasure. UPDATE: found one I left out; see downloads for new file. It was the one on the right in the photo.
I used Chroma Strand Labs Inova-2008 3mm (PETg) transparent. Great stuff, no stink, food safe, no warp, but needs Elmer's glue stick on PEI. Fan or no fan seems not to make any difference. After a few layers I increased the material feed to 115% but I am not sure that was necessary. Just wanted to make sure there was adequate material extruded.
These are solid models that were setup in vase, single outline corkscrew mode. 3 bottom layers, zero top layers. 235C/80C nozzle/bed temperatures. The models are completely solid and must be set up in your slicer to produce a vase, unless for some strange reason you want to waste material on a solid lump.
If 3 or 4 people ask I will modify the files so they can be printed with thicker walls instead of just single wall.
Note: AngleSpy made the comment that the print came out too light in regards to weight.
That's generally the nature of single wall vase mode. Fast and light.
You can make the print heavier by turning off the Vase/Corkscrew mode and adding bottom layers. Make sure top layers are zero. You can also use one or two perimeter layers. I have not used Slic3r or Cura in years, so I can't recall how they work. I use S3D; pretty easy to do when editing the process on the Layers tab. Probably similar in other progs.
I used MicroCADAM Helix Modeling (RIP, last updated, June, 2001; and some translating from Freecad) to generate the designs.