Congratulations. I had this figured months ago.
Allow me to change a few. Things have changed since I last tried one of these correlations. I've got a better understanding of the functions now. These are the E-types I think are only truly possible for each socionics type.
Code:
ILE 6w5, 6w7, 7w6
ILI 5w4, 5w6, maybe 6w5
LIE 3w4, cp6w5, 7w6, 8w7, 8w9
LII 5w6, 6w5
SLE cp6w5, 7w8, 8w7
SLI 5w4, 5w6, maybe 9w8
LSE 1w9, maybe, 1w2, 3w2, 3w4, 6w5, maybe 8w9
LSI 1w9, maybe 1w2, maybe 3w4, 5w6 (with a strong link to 8), (cp)6w5, 8w9
IEE 2w3, 3w2, 7w6
IEI 4w3, 4w5, maybe 9w8
EIE maybe 1w2, 2w1, 2w3, 3w2, 3w4, 6w7
EII 1w2, 2w1, 2w3, 4w3, 4w5
SEE 6w7, 7w6, 7w8
SEI 5w4, 9w8, maybe 9w1
ESE 2w1, 2w3, 6w7
ESI 1w2, 2w1, 2w3, 6w7, 6w5