FPeriod 3.67

INPUT
--------------------
output after each
no trunc
out
2
[1,12]
BEGIN DEFINITIONS
A = t(2, 0110) 
//note A = t(2, 0110) is equivalent to 
//OPT A = x[0] + x[1]
BEGIN COMMANDS
A 
--------------------

Full output

COMMAND:
A
WITH DEFINITIONS:
A = (2, 0110)

PERIOD K (NOT LEAST)

K     FracPdc    P^(1/k)    L^(1/k)    P           L           Not-P       AvgPd          AvgPrepd       MaxPrepd
1     0.500000   1.0000     1.0000     1           1           1           1.00           0.50           1.00     
2     0.250000   1.0000     1.0000     1           1           3           1.00           1.25           2.00     
3     0.500000   1.5874     1.4422     4           3           4           2.50           0.50           1.00     
4     0.062500   1.0000     1.0000     1           1           15          1.00           3.06           4.00     
5     0.500000   1.7411     1.7188     16          15          16          14.12          0.50           1.00     
6     0.250000   1.5874     1.3480     16          6           48          5.12           1.25           2.00     
7     0.500000   1.8114     1.3205     64          7           64          6.91           0.50           1.00     
8     0.003906   1.0000     1.0000     1           1           255         1.00           7.00           8.00     
9     0.500000   1.8517     1.5846     256         63          256         62.05          0.50           1.00     
10    0.250000   1.7411     1.4051     256         30          768         29.01          1.25           2.00     
11    0.500000   1.8779     1.6992     1024        341         1024        340.67         0.50           1.00     
12    0.062500   1.5874     1.2301     256         12          3840        11.57          3.06           4.00     

K     Period        Mult(#orbits)   Mult(#perpoints)   Mult(#points)
1     1             1               1                  2            
2     1             1               1                  4            
3     1             1               1                  2            
      3             1               3                  6            
4     1             1               1                  16           
5     1             1               1                  2            
      15            1               15                 30           
6     1             1               1                  4            
      3             1               3                  12           
      6             2               12                 48           
7     1             1               1                  2            
      7             9               63                 126          
8     1             1               1                  256          
9     1             1               1                  2            
      3             1               3                  6            
      63            4               252                504          
10    1             1               1                  4            
      15            1               15                 60           
      30            8               240                960          
11    1             1               1                  2            
      341           3               1023               2046         
12    1             1               1                  16           
      3             1               3                  48           
      6             2               12                 192          
      12            20              240                3840         

LEAST PERIOD K

K     FracPdc    P^(1/k)    L^(1/k)    P           L           Not-P       AvgPd          AvgPrepd       MaxPrepd
1     0.500000   1.0000     1.0000     1           1           1           1.00           0.50           1.00     
2     0.000000   0.0000     1.0000     0           1           2           1.00           2.00           2.00     
3     0.500000   1.4422     1.4422     3           3           3           3.00           0.50           1.00     
4     0.000000   0.0000     1.0000     0           1           12          1.00           3.67           4.00     
5     0.500000   1.7188     1.7188     15          15          15          15.00          0.50           1.00     
6     0.222222   1.5131     1.3480     12          6           42          5.67           1.33           2.00     
7     0.500000   1.8074     1.3205     63          7           63          7.00           0.50           1.00     
8     0.000000   0.0000     1.0000     0           1           240         1.00           7.27           8.00     
9     0.500000   1.8485     1.5846     252         63          252         63.00          0.50           1.00     
10    0.242424   1.7299     1.4051     240         30          750         29.55          1.27           2.00     
11    0.500000   1.8777     1.6992     1023        341         1023        341.00         0.50           1.00     
12    0.059701   1.5789     1.2301     240         12          3780        11.70          3.09           4.00     

K     Period        Mult(#perpoints)   Mult(#points)
1     1             1                  2            
2     1             0                  2            
3     3             3                  6            
4     1             0                  12           
5     15            15                 30           
6     3             0                  6            
      6             12                 48           
7     7             63                 126          
8     1             0                  240          
9     63            252                504          
10    15            0                  30           
      30            240                960          
11    341           1023               2046         
12    3             0                  36           
      6             0                  144          
      12            240                3840