Original lines of Cipher Text are:
-----------------------------------

Fj$puam$iv$wtl$fal$

Rvg$gk$gru$hrv't$xyise$dfcu$jnwm$tfj$edy$dfc$wysk,
dt$qvivt$yig$aq$dcfh$fj$bos$tiq
nmy$br$bjxzddc$zb
ey$yfw$mshy$folyrkw$unkp$tfj$errji,
jb$rtf$puam$iftgazbb$ysu$wajp.

Buy$sfb$tm$umjryiv$lt$gp$grylxqqg$nk$dlmsx,
waineo$ir$rzruli$iqd$joxrsgsx$lt$xf$rfrje
br$rmv$gagqp$vijqzvhsq
tw$voanrt$etjebv$ysu$sapyzmv,
sskqo$gy$krmcx$br$qjvu$a$gfzlne$yiqgcw-wq.

Ateawalyzvh$N.$Kdvykp$

Number of Character in Cipher Text: 381


Searching for numbers of occurrences in 8 lettered strings:
NOTE: numbers contained in [], represent distances
      from its corresponding position, to the first.
-------------------------------------------------------------------


Searching for numbers of occurrences in 7 lettered strings:
NOTE: numbers contained in [], represent distances
      from its corresponding position, to the first.
-------------------------------------------------------------------


Searching for numbers of occurrences in 6 lettered strings:
NOTE: numbers contained in [], represent distances
      from its corresponding position, to the first.
-------------------------------------------------------------------


Searching for numbers of occurrences in 5 lettered strings:
NOTE: numbers contained in [], represent distances
      from its corresponding position, to the first.
-------------------------------------------------------------------


Searching for numbers of occurrences in 4 lettered strings:
NOTE: numbers contained in [], represent distances
      from its corresponding position, to the first.
-------------------------------------------------------------------
puam was found 2 times. Positions: 4, 160 [156]


Searching for numbers of occurrences in 3 lettered strings:
NOTE: numbers contained in [], represent distances
      from its corresponding position, to the first.
-------------------------------------------------------------------
dfc was found 2 times. Positions: 43, 61 [18]
tfj was found 2 times. Positions: 53, 143 [90]
ysu was found 2 times. Positions: 174, 306 [132]
jeb was found 2 times. Positions: 265, 301 [36]
zvh was found 2 times. Positions: 284, 368 [84]



Distances:
-------------
156
18
90
132
36
84


Lengths:

Divisor (length)    # of hits
----------------    ----------
       2 ->              6
       3 ->              6
       4 ->              4
       5 ->              1
       6 ->              6
       7 ->              1
       9 ->              3
      10 ->              1
      11 ->              1
      12 ->              4
      13 ->              1
      14 ->              1
      15 ->              1
      18 ->              3
      21 ->              1
      22 ->              1
      26 ->              1
      28 ->              1
      30 ->              1
      33 ->              1
      36 ->              1
      39 ->              1
      42 ->              1
      44 ->              1
      45 ->              1
      52 ->              1
      66 ->              1
      78 ->              1
      84 ->              1
      90 ->              1
     132 ->              1

******************
Hypothesis:
Cipher Key length, based off the largest
occurrences of divisible numbers is most likely
some multiple of 2 characters long.