The remarks on the crystal appraisal certificate usually provide some additional information or description about the crystal. Four asterisks (* * * *) may represent one of the following meanings in the note:

1. quality: the number of asterisks can indicate the quality grade of the crystal, and four asterisks may mean that the crystal is of high quality, with good appearance and performance.

2. rarity: the asterisk can also indicate the rarity of the crystal. Four asterisks may indicate that this crystal is a rare or rare variety with precious value.

3. Special features: The asterisk can also identify the special features or defects of the crystal. The four asterisks in the remarks may be related to the special appearance or characteristics of the crystal, such as the unique color, internal texture or the shape of the stone.

It should be noted that the specific interpretation may be different for different evaluation institutions or individuals. So it's best to contact an appraisal agency or a professional to confirm the exact meaning.