Axe fighters/Siege

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Siege times with no wall:
No. of axefighters......Siege time in minutes
1................................10:00
5................................10:00
10..............................10:00
20..............................10:00
30..............................10:00
40..............................10:00
50..............................10:00
100............................10:01
200............................10:02
300............................10:02
400............................10:03
500............................10:04
600............................10:05
700............................10:06
800............................10:06
900............................10:07
1000..........................10:08
2000..........................10:15
3000..........................10:23
4000..........................10:30
5000..........................10:38
6000..........................10:46
7000..........................10:54
8000..........................11:01
9000..........................11:09
10000........................11:16
Notes:

• All of these times were recorded from raids done on a town with no wall
  
• All of these times will vary slightly; example; I had an attack of 100 axefighters take 10:08 minutes
  
• All of these tests were done with 0% morale. Although as my friend sini pointed out to me, morale doesn't affect siege time.
  

Formula:
Axefighters have a base time of 10:00minutes. This will be "abt"
Axefighters have a siege time increase per axefighter of 0.007666666666...6667. this will be "ati"
The number of axefighters will be "na"
So; na*ati+abt=siege time
This is proven by...
3000*0.007666666666667secs+10:00minutes
3000*ati=23.000000001 or// 23seconds
therefore siege time= 10:00minutes + 23seconds = 10:23. Which is exactly the number that I have put for 3000 at the top.

I did not calculate the ati myself, it was the work of the player; sini.

Siege times with walls;
Wall level.....................Added time
1..................................4:48
2..................................9:36
3..................................14:24
Note: this will be continued and edited if need be as sini and I, (Jbing21), get more results.

Formula:
This is simple to work out, basically you have;
Base wall time, or level 1 wall time; which is 4:48 or 288 seconds this will be "bwt".
Then the wall level, this will be "wlv"
So; bwt*wlv=added wall time
This is proven by...
288*3=864seconds
This is now converted into minutes by;
864/60=14.4
Then 40% of 60 = 24seconds.
Therefore total added time equals 14:24 seconds. Which is exactly the number I have put at the top.