Gratz for getting above -5.00 Faction standing.
Hopefully you didn’t max out Diplomacy skill. If you did, there’s still more options to repair Negative Faction Standings listed in ‘The Plan’.
Anyway, in the future just keep an eye on your Empire standings and you shouldn’t have any issues with traveling in New Eden.
By the way, when I say Empire, I’m talking about Factions that control High Security Systems. Also the Connections skill will raise your current positive Faction standings.
Empire Factions
(Listed in Alphabetical Order)
Amarr Empire
Ammatar Mandate
Caldari State
Concord Assembly
Gallente Federation
Khanid Kingdom
Minmatar Republic
The Interbus