About DarkStar One

+ is for side missions, available from trade stations. These usually unlock at least one system occupied by pirates.
? is for systems that I couldn't find a way to get access to, besides Bailebeag they probably don't even have artefacts in them.

Systems with free navigation keys that were visited as part of the story or had artefacts (the green crystalline icon) in them are not listed as they would be visited regardless.

Note that the early clusters before Klatok were not recorded, not sure if there's even need to.

Klatok
* Fribeicon

Raptor-Epsilon
* Khimtishy

Sion'nach
* Abria'chan
+ Kill'ore

Sirius
+ Wenee

Madraimor
* Am'atn'atua
* Sliga'chan
* Dochgar'roch

Hive-AC3
+ Tiamaung

Gab'har
+ Bin'dal
? Linside'ore
? Lairg'uie

Hive-B52
* Shanzeik

Hive-CU7
* Ringhku

Hive-DC
* Chanthagon
* Beinn

Hive-ET9
+ Chondrha

Communa
+ Pitcalnie
? Bailebeag

Hyma
+ Dalchalm

After level 17, ship upgrades require total of 10 artefacts per level (5 for most levels prior), slowing down upgrades significantly. There's supposedly total of 100 artefacts out there, so obviously you can't upgrade all 3 parts of the ship completely (20 levels out of 30 needed for that).