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

signature sequence for tau.

1,2,1,3,2,4,1,3,5,2,4,1,6,3,5,2,7,4,1,6,3,8,5,2,7,4,9,1,6,3,8,5,10,2,7,4,9,1,6,11,3,8,5,
10,2,7,12,4,9,1,6,11,3,8,13,5,10,2,7,12,4,9,1,14,6,11,3,8,13,5,10,2,15,7,12,4,9,1,14,6,
11,3,16,8,13,5,10,2,15,7,12,4,17,9,1,14,6,11,3,16,...

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



shaft utilization:

    1:  29%  +++++++++++++++++++++++++++++
    2:  26%  ++++++++++++++++++++++++++
    3:  24%  ++++++++++++++++++++++++
    4:  21%  +++++++++++++++++++++

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



shaft utilization:

    1:  26%  ++++++++++++++++++++++++++
    2:  22%  ++++++++++++++++++++++
    3:  19%  +++++++++++++++++++
    4:  18%  ++++++++++++++++++
    5:  15%  +++++++++++++++

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



shaft utilization:

    1:  21%  +++++++++++++++++++++
    2:  19%  +++++++++++++++++++
    3:  18%  ++++++++++++++++++
    4:  16%  ++++++++++++++++
    5:  14%  ++++++++++++++
    6:  12%  ++++++++++++

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



shaft utilization:

    1:  19%  +++++++++++++++++++
    2:  18%  ++++++++++++++++++
    3:  16%  ++++++++++++++++
    4:  14%  ++++++++++++++
    5:  12%  ++++++++++++
    6:  11%  +++++++++++
    7:  10%  ++++++++++

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



shaft utilization:

    1:  18%  ++++++++++++++++++
    2:  15%  +++++++++++++++
    3:  15%  +++++++++++++++
    4:  13%  +++++++++++++
    5:  11%  +++++++++++
    6:  11%  +++++++++++
    7:   9%  +++++++++
    8:   8%  ++++++++

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



shaft utilization:

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

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



shaft utilization:

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

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



shaft utilization:

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

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



shaft utilization:

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

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



shaft utilization:

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

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



shaft utilization:

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

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



shaft utilization:

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

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



shaft utilization:

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

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e-mail: ralph@cs.arizona.edu

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