Last modified Sunday, July 16, 2000 12:23 pm

signature sequence for e.

1,2,3,1,4,2,5,3,6,1,4,7,2,5,8,3,6,9,1,4,7,10,2,5,8,11,3,6,9,1,12,4,7,10,2,13,5,8,11,3,14,
6,9,1,12,4,15,7,10,2,13,5,16,8,11,3,14,6,17,9,1,12,4,15,7,18,10,2,13,5,16,8,19,11,3,14,6,
17,9,20,1,12,4,15,7,18,10,21,2,13,5,16,8,19,11,22,3,14,6,17,...

s=4:
no period detected 1,2,3,1,4,2,1,3,2,1,4,3,2,1,4,3,2,1,1,4,3,2,2,1,4,3,3,2,1,1,4,4,3,2,2,1,1,4,3,3,2,2,1,1, 4,4,3,3,2,2,1,1,4,4,3,3,2,2,1,1,1,4,4,3,3,2,2,2,1,1,4,4,3,3,3,2,2,1,1,4,1,4,4,3,3,2,2,1, 2,1,1,4,4,3,3,2,3,2,2,1,...



shaft utilization:

    1:  28%  ++++++++++++++++++++++++++++
    2:  27%  +++++++++++++++++++++++++++
    3:  24%  ++++++++++++++++++++++++
    4:  21%  +++++++++++++++++++++

s=5:
no period detected 1,2,3,1,4,2,5,3,1,1,4,2,2,5,3,3,1,4,1,4,2,5,2,5,3,1,3,1,4,1,2,4,2,5,2,3,5,3,1,3,4,1,4,1, 2,4,5,2,5,2,3,5,1,3,1,3,4,1,2,4,1,2,4,5,2,3,5,2,3,5,1,3,4,1,3,4,1,2,4,5,1,2,4,5,2,3,5,1, 2,3,5,1,3,4,1,2,3,4,1,2,...



shaft utilization:

    1:  24%  ++++++++++++++++++++++++
    2:  22%  ++++++++++++++++++++++
    3:  20%  ++++++++++++++++++++
    4:  18%  ++++++++++++++++++
    5:  16%  ++++++++++++++++

s=6:
no period detected 1,2,3,1,4,2,5,3,6,1,4,1,2,5,2,3,6,3,1,4,1,4,2,5,2,5,3,6,3,1,6,4,1,4,2,1,5,2,5,3,2,6,3,1, 6,4,3,1,4,2,1,5,4,2,5,3,2,6,5,3,1,6,4,3,1,6,4,2,1,5,4,2,1,5,3,2,6,5,3,2,1,6,4,3,1,6,4,3, 2,1,5,4,2,1,5,4,3,2,6,5,...



shaft utilization:

    1:  20%  ++++++++++++++++++++
    2:  19%  +++++++++++++++++++
    3:  17%  +++++++++++++++++
    4:  16%  ++++++++++++++++
    5:  15%  +++++++++++++++
    6:  13%  +++++++++++++

s=7:
no period detected 1,2,3,1,4,2,5,3,6,1,4,7,2,5,1,3,6,2,1,4,7,3,2,5,1,4,3,6,2,1,5,4,7,3,2,6,5,1,4,3,7,6,2,1, 5,4,1,7,3,2,6,5,2,1,4,3,7,6,3,2,1,5,4,1,7,4,3,2,6,5,2,1,5,4,3,7,6,3,2,6,1,5,4,1,7,4,3,7, 2,6,5,2,1,5,4,1,3,7,6,3,...



shaft utilization:

    1:  18%  ++++++++++++++++++
    2:  16%  ++++++++++++++++
    3:  16%  ++++++++++++++++
    4:  14%  ++++++++++++++
    5:  13%  +++++++++++++
    6:  12%  ++++++++++++
    7:  11%  +++++++++++

s=8:
no period detected 1,2,3,1,4,2,5,3,6,1,4,7,2,5,8,3,6,1,1,4,7,2,2,5,8,3,3,6,1,1,4,4,7,2,2,5,5,8,3,3,6,6,1,1, 4,4,7,7,2,2,5,5,8,8,3,3,6,6,1,1,1,4,4,7,7,2,2,2,5,5,8,8,3,3,3,6,6,1,1,4,1,4,4,7,7,2,2,5, 2,5,5,8,8,3,3,6,3,6,6,1,...



shaft utilization:

    1:  16%  ++++++++++++++++
    2:  15%  +++++++++++++++
    3:  15%  +++++++++++++++
    4:  12%  ++++++++++++
    5:  12%  ++++++++++++
    6:  12%  ++++++++++++
    7:   9%  +++++++++
    8:   9%  +++++++++

s=9:
no period detected 1,2,3,1,4,2,5,3,6,1,4,7,2,5,8,3,6,9,1,4,7,1,2,5,8,2,3,6,9,1,3,4,7,1,2,4,5,8,2,3,5,6,9,1, 3,4,6,7,1,2,4,5,7,8,2,3,5,6,8,9,1,3,4,6,7,9,1,2,4,5,7,8,1,2,3,5,6,8,9,2,1,3,4,6,7,9,1,3, 2,4,5,7,8,1,2,4,3,5,6,8,...



shaft utilization:

    1:  15%  +++++++++++++++
    2:  14%  ++++++++++++++
    3:  13%  +++++++++++++
    4:  12%  ++++++++++++
    5:  11%  +++++++++++
    6:  10%  ++++++++++
    7:   9%  +++++++++
    8:   9%  +++++++++
    9:   7%  +++++++

s=10:
no period detected 1,2,3,1,4,2,5,3,6,1,4,7,2,5,8,3,6,9,1,4,7,10,2,5,8,1,3,6,9,1,2,4,7,10,2,3,5,8,1,3,4,6,9, 1,2,4,5,7,10,2,3,5,6,8,1,3,4,6,7,9,1,2,4,5,7,8,10,2,3,5,6,8,9,1,3,4,6,7,9,10,1,2,4,5,7,8, 10,1,2,3,5,6,8,9,1,2,3,4,6,7,...



shaft utilization:

    1:  14%  ++++++++++++++
    2:  13%  +++++++++++++
    3:  12%  ++++++++++++
    4:  11%  +++++++++++
    5:  10%  ++++++++++
    6:  10%  ++++++++++
    7:   9%  +++++++++
    8:   8%  ++++++++
    9:   7%  +++++++
   10:   6%  ++++++

s=11:
no period detected 1,2,3,1,4,2,5,3,6,1,4,7,2,5,8,3,6,9,1,4,7,10,2,5,8,11,3,6,9,1,1,4,7,10,2,2,5,8,11,3,3,6, 9,1,1,4,4,7,10,2,2,5,5,8,11,3,3,6,6,9,1,1,4,4,7,7,10,2,2,5,5,8,8,11,3,3,6,6,9,9,1,1,4,4, 7,7,10,10,2,2,5,5,8,8,11,11,3,3,6,6,...



shaft utilization:

    1:  12%  ++++++++++++
    2:  12%  ++++++++++++
    3:  12%  ++++++++++++
    4:  10%  ++++++++++
    5:  10%  ++++++++++
    6:  10%  ++++++++++
    7:   8%  ++++++++
    8:   8%  ++++++++
    9:   6%  ++++++
   10:   6%  ++++++
   11:   6%  ++++++

s=12:
no period detected 1,2,3,1,4,2,5,3,6,1,4,7,2,5,8,3,6,9,1,4,7,10,2,5,8,11,3,6,9,1,12,4,7,10,2,1,5,8,11,3,2,6, 9,1,12,4,3,7,10,2,1,5,4,8,11,3,2,6,5,9,1,12,4,3,7,6,10,2,1,5,4,8,7,11,3,2,6,5,9,8,1,12,4, 3,7,6,10,9,2,1,5,4,8,7,11,10,3,2,6,5,...



shaft utilization:

    1:  12%  ++++++++++++
    2:  12%  ++++++++++++
    3:  11%  +++++++++++
    4:  10%  ++++++++++
    5:  10%  ++++++++++
    6:   9%  +++++++++
    7:   8%  ++++++++
    8:   7%  +++++++
    9:   6%  ++++++
   10:   6%  ++++++
   11:   5%  +++++
   12:   4%  ++++

s=13:
no period detected 1,2,3,1,4,2,5,3,6,1,4,7,2,5,8,3,6,9,1,4,7,10,2,5,8,11,3,6,9,1,12,4,7,10,2,13,5,8,11,3,1, 6,9,1,12,4,2,7,10,2,13,5,3,8,11,3,1,6,4,9,1,12,4,2,7,5,10,2,13,5,3,8,6,11,3,1,6,4,9,7,1, 12,4,2,7,5,10,8,2,13,5,3,8,6,11,9,3,1,6,4,...



shaft utilization:

    1:  12%  ++++++++++++
    2:  11%  +++++++++++
    3:  11%  +++++++++++
    4:  10%  ++++++++++
    5:   9%  +++++++++
    6:   9%  +++++++++
    7:   7%  +++++++
    8:   7%  +++++++
    9:   6%  ++++++
   10:   5%  +++++
   11:   5%  +++++
   12:   4%  ++++
   13:   4%  ++++

s=14:
no period detected 1,2,3,1,4,2,5,3,6,1,4,7,2,5,8,3,6,9,1,4,7,10,2,5,8,11,3,6,9,1,12,4,7,10,2,13,5,8,11,3,14, 6,9,1,12,4,1,7,10,2,13,5,2,8,11,3,14,6,3,9,1,12,4,1,7,4,10,2,13,5,2,8,5,11,3,14,6,3,9,6, 1,12,4,1,7,4,10,7,2,13,5,2,8,5,11,8,3,14,6,3,...



shaft utilization:

    1:  11%  +++++++++++
    2:  11%  +++++++++++
    3:  11%  +++++++++++
    4:   9%  +++++++++
    5:   9%  +++++++++
    6:   8%  ++++++++
    7:   7%  +++++++
    8:   7%  +++++++
    9:   5%  +++++
   10:   5%  +++++
   11:   5%  +++++
   12:   4%  ++++
   13:   4%  ++++
   14:   4%  ++++

s=15:
no period detected 1,2,3,1,4,2,5,3,6,1,4,7,2,5,8,3,6,9,1,4,7,10,2,5,8,11,3,6,9,1,12,4,7,10,2,13,5,8,11,3,14, 6,9,1,12,4,15,7,10,2,13,5,1,8,11,3,14,6,2,9,1,12,4,15,7,3,10,2,13,5,1,8,4,11,3,14,6,2,9, 5,1,12,4,15,7,3,10,6,2,13,5,1,8,4,11,7,3,14,6,2,...



shaft utilization:

    1:  11%  +++++++++++
    2:  11%  +++++++++++
    3:  10%  ++++++++++
    4:   9%  +++++++++
    5:   8%  ++++++++
    6:   8%  ++++++++
    7:   7%  +++++++
    8:   6%  ++++++
    9:   5%  +++++
   10:   5%  +++++
   11:   5%  +++++
   12:   4%  ++++
   13:   4%  ++++
   14:   4%  ++++
   15:   3%  +++

s=16:
no period detected 1,2,3,1,4,2,5,3,6,1,4,7,2,5,8,3,6,9,1,4,7,10,2,5,8,11,3,6,9,1,12,4,7,10,2,13,5,8,11,3,14, 6,9,1,12,4,15,7,10,2,13,5,16,8,11,3,14,6,1,9,1,12,4,15,7,2,10,2,13,5,16,8,3,11,3,14,6,1, 9,4,1,12,4,15,7,2,10,5,2,13,5,16,8,3,11,6,3,14,6,1,...



shaft utilization:

    1:  11%  +++++++++++
    2:  10%  ++++++++++
    3:  10%  ++++++++++
    4:   8%  ++++++++
    5:   8%  ++++++++
    6:   8%  ++++++++
    7:   6%  ++++++
    8:   6%  ++++++
    9:   5%  +++++
   10:   5%  +++++
   11:   5%  +++++
   12:   4%  ++++
   13:   4%  ++++
   14:   4%  ++++
   15:   3%  +++
   16:   3%  +++

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e-mail: ralph@cs.arizona.edu

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