Hi,
the most easiest way from New London is:
New London -> Cambridge
Cambridge -> Omega 5
(Cambridge Location E6 (nearly in the middle) you will find the Jumphole for Omega 5)
Omega 5 -> Omega 41
(Omega 5 Location D5 (lower right corner) you will find the Jumphole for Omega 41 ...this is a nice system, here you can get jobs up to 225000 $ each in the war between Red Hessians and Corsairs (but realy hard to beat) Iget this jobs from Corsairs Cadiz Base (middle of D5) and iám very friendly with this guys
The Storyline tells you something about this war...
Omega 41 -> Omicron Gamma
(Omega 41 lower middle of E5 in the near of Freeport 5)
Now you are in Omicron Gamma own by the corsairs you can buy a tiny lvl 10 shield (best in the game 320k $) and a lovely Titan Very Heavy Fighter (775k $) here.
Don´t miss the unknown Jump Hole in 2F a little left to the middle sorroundet by many Corsair Wrecks, which are full of nice Weapons - and beware, if you are in luck you can get some nomad weapons by shooting their fighters down (not every fighter will lose weapons), which don´t use energy while shooting
)) but take enough nanobots and shield batterys with you because you won´t get new ones in this turn and a nomad weapons is drinking your shield energy and hull strength like you drink water when you are thirsty. The jumphole to the unknown system will lead you to the planet of monkeys and planet of the robots.
But realy first of all, the corsairs should be your friends - because you should buy the shields and or the Titan from them - and the easiest way to be their friend is fighting down the Red Hessians because you don´t get trouble from other factions than accept the LWB
..sorry for my english, it´s not my native language...
and have fun this is in my opinion one of the nicest runs in the game look around Omicron Gamma and/or even Omicron Theta that Systems are realy nice designed.