A route submitted by Greytest, who writes this about it:

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My maximum base jump range on fumes was 34,98 Ly (and i basically always jumped on fumes in case i needed this tiny bit of extra range), so in total i used

• 30 J1
• 12 J2
• 10 J3

across 206 jumps in total. In the end the crossing needed less J3 than i thought, so i could have gone farther west, but i was afraid the last stretch would be very sparse, so i didn't. It's still a large amount of Jumponium and i actually had to refill my J1s and J2s twice, because most of my 300 mats was reserved for J3.

But future explorers with their fancy Engineer upgrades should have by far less trouble.

Full description here.