Coefficients in Computations of S68

The following table gives the list of coefficients used in the computations (Restriction to Modular Curves Method) of spaces of modular cusp forms in degree 6 of weight 8. For example, form 0 is 1/2 E5 and form 1 is 1/2 D5. And form 3 is 1/2 A5.
Note that the forms are ordered by dyadic trace. (All the forms of dyadic trace 4.25 or less are in this table.)
index  DT  32det m11m22m33m44m55m66m12m13m23m14m24m34m15m25m35m45m16m26m36m46m56  S68  Reducible
   0   2.25   3    2  2  2  2  2  2  0  0  1  1  0  1  1  1  1  1  1  1  1  1  1   C     
   1   3      4    2  2  2  2  2  2  0  0  0  1  1  0  0  1  1  1  1  0  1  1  1   C     
   2   3.25  11    2  2  2  2  2  4  0  0  1  1  0  1  1  1  1  1  1  1  1  1  1   C     
   3   3.5    7    2  2  2  2  2  2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1   C     
   4   3.5    8    2  2  2  2  2  2  0  0  0  0  0  1  0  1  1  1  0 -1  1  1  0   C    R
   5   3.5   12    2  2  2  2  2  2  0  0  0  0  0  1  0  0  0  0  1  1  0  0  1   C    R
   6   3.5   15    2  2  2  2  2  4  0  0  1  0  1  1  1  1  1  1  1  0  1  1  1   C     
   7   3.75  27    2  2  2  2  4  4  0  1  1  1  1  1  0  1  1  1  1  1  1  1 -1   C     
   8   4     12    2  2  2  2  2  2  0  0  0  0  0  0  0  1  0  1  0  0  1  1  1   C    R
   9   4     12    2  2  2  2  2  4  0  0  1  1  1  1  1 -1 -1  0  1  0  0  1  1   C     
  10   4     15    2  2  2  2  2  2  0  0  1  0  0  0  0  0  0  1  1  0  0  1  1   C    R
  11   4     16    2  2  2  2  2  2  0  0  1  1  0  0  1  0  0  1  0  1  1  0  0   C    R
  12   4     16    2  2  2  2  2  2  0  0  0  0  0  0  0  0  1  1  0  0  1  1  1   C    R
  13   4     16    2  2  2  2  2  4  0  0  1  0  1  1  1  1  1  1  1  1  1  1  1   C     
  14   4     20    2  2  2  2  2  4  0  0  0  0  1  1  0  1  1  1  1  0  1  0  1   C     
  15   4     23    2  2  2  2  2  4  0  0  0  0  0  1  0  1  1  1  1  1  1  1  1   C     
  16   4     28    2  2  2  2  2  4  0  0  1  0  0  0  1  0  0  1  1  1  1  1  1   C     
  17   4     32    2  2  2  2  2  4  0  0  0  0  0  1  0  0  1  1  1  1  0  1  1   C     
  18   4     32    2  2  2  2  4  4  0  0  1  1  1  1  1  0  1  1  1  1  0  1 -1   C     
  19   4     48    2  2  2  2  2  4  0  0  0  0  0  0  0  0  0  0  1  1  1  1  1   C     
  20   4     48    2  2  2  2  4  4  0  1  0  0  1  0  0  0 -1  1  1  1  0  1  2   C     
  21   4     64    2  2  2  2  4  4  0  0  0  0  0  0  1  1  1  1  1  1 -1  1  1   C     
  22   4.25  19    2  2  2  2  2  6  1  0 -1  0 -1  1  1  0  1  1  1  0  1  1  1   C     
  23   4.25  35    2  2  2  2  4  4  0  1  1  1  1  1  0  1  1  1  1  1  1  1  1   C     
  24   4.25  39    2  2  2  2  4  4  0  0  1  1  1  1  1  1  1  1  1  1  1  1  1   C     
  25   4.25  63    2  2  2  4  4  4  1  1  1  0  1  1  0  1  1  1  1  1  1  2 -1   C