Your long stay visa (more than three months) falls under the lawful category for "Stays Exceeding three months":
When you stay in an EU country for a long stay, usually for more than
90 days, you will generally be issued with a long-stay visa and/or a
residence permit.If your long-stay visa or residence permit has been issued by a
Schengen area country, you can travel to another Schengen area country
for 90 days per 180 day period. You must:
- justify the purpose of your stay;
- have sufficient financial resources for your stay and travel back;
- not be considered a threat to public policy, public security or public health.
You can also pass through other Schengen area countries on the way to your host country.
So on that basis, yes, you can enter the other Schengen states, as long as you follow those time-limited terms.
Credit:stackoverflow.com‘
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