Step 9 Work in progress

psi in this clue is the same as psi in the previous clue and we need to use the location formula to get the coordinates
n in this clue is different than n in previous clue.

nprevious = in game year

ncurrent = number of factors of a number

psi3 has 8 factors so psi has to be prime.

The quadrants at the bottom of the clue indicate that the coordinates we find will be in the bottom left part of the map.

theory 1
> 7 && < 9

could it be indicating 8?

1,2,4,8,-1,-2,-4,-8

n=8

theory 2
n > 4 && n < 6

n = 5

With the given examples, n = 5 is not possible since we use the negative numbers n is always even.

Unlikely that this is the link between the left box and the right box with 53. Probably just a coincidence.

theory 1
see theory 2 above.

theory 2
this is just an example of a valid psi, 5 is prime and shown as cubed.

Theory 1
Since the main box has 5*5*5 pointing out to Ψ and we have Ψ*Ψ*Ψ as a prime number, it's possible that Ψ = 5 is the solution.

If we apply the sign change for the bottom left we get:

(-199995,-100005)

It's also possible that as in the previous clue this has to be checked on day 33.

(-199995,-100005) day 33

Status: Nothing but not tested on day 33.

Theory 2
We're looking for Ψ that is a prime number. Since in the previous clue Ψ is derived from ᑎ (game year), the we might be looking for a game year where the resulting Ψ is a prime number.

The next few prime Ψ would be on there game years.

133    104991    195009    1064095009

141    106289    243711    1160393711

223    186417    363583    1073713583

297    165247    434753    890734753

Apply negative signs and possibly check on day 33 as in previous clue.

Status: Nothing at coordinates of year 133 and day 33

Theory 3
Not really a theory, just a though. Could it be possible that the Fibonacci sequence is involved? If so, why and how would it relate to this puzzle?

Theory 4
psi = 2 because 8 is between 7 and 9. 8 = 2^3 and 2 is prime.

Status: untested

Theory 5
aleKaetor

maybe we take the current year and find its number of unique factors

Example:

Current year is 140, so we decompose that into factors, I think that gives 12 different ones so that would be 24 if we take the negative numbers into account, we plug that into the equation and we see what happens.

One of the problems with this approach is that there's already a very limited number of years when psi is prime, this reduces the option a lot so we'd probably have to wait a very long time before we'd have a shot at checking if the solution is valid and if we miss it, we're done for a long time. From a puzzle design perspective I don't think that's a good idea.

Status: untested.