Coefficients in Computations of S58 through S510

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 5 of weights 8 through 10. For example, form 0 is 1/2 D5 and form 1 is 1/2 A5. And form 56 is the identity matrix.
Note that the forms are ordered by dyadic trace. (All the forms of dyadic trace 5.25 or less are in this table.)
index  DT  16det m11m22m33m44m55m12m13m23m14m24m34m15m25m35m45  S58 S510 Reducible
   0   2.5    4    2  2  2  2  2  0  0  0  1  0  0  1  1  1  0   C    C     
   1   3      6    2  2  2  2  2  0  0  0  1  1  0  0  1  1  0   C    C     
   2   3      8    2  2  2  2  2  0  0  0  0  0  0  0  1  1  1   C   *C    R
   3   3.5   10    2  2  2  2  2  0  0  0  1  0  0  0  0  1  1   C   *C    R
   4   3.5   12    2  2  2  2  2  0  0  0  1  0  0  0  1  1  0   C   *C    R
   5   3.5   12    2  2  2  2  4  0  0  0  1  1  1  0  0  1  0   C    C     
   6   3.5   14    2  2  2  2  4  1  0  0  1  0  1  0  0  0  1   C    C     
   7   3.5   20    2  2  2  2  4  0  0  0  1  1  0  0  0  1  1   C    C     
   8   4     16    2  2  2  2  2  0  0  0  0  0  0  1  1  0  0   -   *C    R
   9   4     16    2  2  2  2  4  0  0  0  1  1  1  0  0  0  0   -   *C    R
  10   4     16    2  2  2  2  4  1  0  0  1  0  1  0  0  1  0   -    C     
  11   4     18    2  2  2  2  2  0  0  0  1  0  0  0  1  0  0   -   *C    R
  12   4     22    2  2  2  2  4  0  0  0  1  1  0  0  1  1  0   -    C     
  13   4     24    2  2  2  2  4  0  0  0  1  1  0  0  0  0  1   -   *C    R
  14   4     24    2  2  2  2  4  1  0  0  0  0  1  0  1  0  1   -    C     
  15   4     28    2  2  2  2  4  0  0  0  1  0  0  0  1  1  1   -    C     
  16   4     30    2  2  2  4  4  1  1  0  0  1  0  0  0  1  2   -    C     
  17   4     32    2  2  2  2  4  0  0  0  0  0  0  1  1  1  1   -    C     
  18   4     32    2  2  2  4  4  1  1  0  0  0  0  1  0  0  2   -    C     
  19   4     40    2  2  2  4  4  1  0  0  1  0  1  1  0  1  0   -    C     
  20   4     48    2  2  2  4  4  0  0  0  0  0  0  1  1  1  2   -    C     
  21   4     64    2  2  4  4  4  0  0  0  0  0  0  1  1  2  2   -    C     
  22   4.5   20    2  2  2  2  4  1  0  0  1  0  1  0  0  0  0   -   *C    R
  23   4.5   20    2  2  2  2  6  0  0  0  1  1  1  0  1  0  0   -    C     
  24   4.5   24    2  2  2  2  2  0  0  0  0  0  0  0  1  0  0   -   *C    R
  25   4.5   24    2  2  2  2  6  1  0  0  1  0  1  0  0  0  1   -    C     
  26   4.5   26    2  2  2  2  4  0  0  0  1  1  0  1  0  0  0   -   *C    R
  27   4.5   28    2  2  2  2  4  0  0  0  1  1  0  0  0  1  0   -   *C    R
  28   4.5   30    2  2  2  2  4  1  0  0  0  0  1  0  0  0  1   -   *C    R
  29   4.5   34    2  2  2  2  4  0  0  0  1  0  0  1  0  1  0   -   *C    R
  30   4.5   36    2  2  2  2  4  0  0  0  1  0  0  0  1  1  0   -   *C    R
  31   4.5   36    2  2  2  2  6  0  0  0  1  1  0  0  0  1  1   -    C     
  32   4.5   36    2  2  2  4  4  1  1  0  0  0  0  0  1  0  2   -    C     
  33   4.5   36    2  2  2  4  4  1  1  0  1  0  0  1  0  0  1   -    C     
  34   4.5   38    2  2  2  4  4  1  1  0  0  1  0  1  0  0  0   -    C     
  35   4.5   40    2  2  2  2  4  0  0  0  0  0  0  1  1  0  1   -   *C    R
  36   4.5   40    2  2  2  4  4  1  1  0  0  1  0  0  1  0  0   -    C     
  37   4.5   44    2  2  2  4  4  1  0  0  0  0  0  1  0  1  2   -    C     
  38   4.5   44    2  2  2  4  4  1  1  0  0  0  0  1  0  0  1   -    C     
  39   4.5   46    2  2  2  4  4  1  0  0  0  0  1  1  0  0  2   -    C     
  40   4.5   48    2  2  2  4  4  1  0  0  1  0  1  0  1  1  0   -    C     
  41   4.5   50    2  2  2  4  4  1  0  0  1  0  0  0  1  0 -2   -   *C    R
  42   4.5   52    2  2  2  4  4  0  0  0  1  0  0  0  1  1  2   -    C     
  43   4.5   54    2  2  2  4  4  0  0  0  1  1  0  0  1  1  2   -    C     
  44   4.5   54    2  2  2  4  4  1  0  0  1  0  1  1  0  0  0   -    C     
  45   4.5   60    2  2  2  4  4  0  0  0  1  1  1  1  0 -1  0   -    C     
  46   4.5   60    2  2  4  4  4  1  1  0  0  1  0  0  0  2  2   -    C     
  47   4.5   64    2  2  4  4  4  1  0  0  0  0  0  1  0  2  2   -    C     
  48   4.5   70    2  2  4  4  4  1  0  0  1  0  1  1  0  2  0   -    C     
  49   4.5   72    2  2  4  4  4  0  1  0  1  0  0  0  1  2 -2   -    C     
  50   4.5   76    2  2  4  4  4  0  0  0  0  1  0  1  0  2  2   -    C     
  51   4.5   84    2  2  4  4  4  0  0  0  0  0  1  1  1  2  2   -    C     
  52   4.5   96    2  4  4  4  4  0  0  0  1  0  0  0  2  2  2   -    C     
  53   4.5  108    2  4  4  4  4  0  0  0  0  1  0  1  2  2  2   -    C     
  54   5     24    2  2  2  2  6  0  0  0  1  1  1  0  0  0  0   -   *B    R
  55   5     26    2  2  2  2  6  1  0  0  1  0  1  0  0  1  0   -    B     
  56   5     32    2  2  2  2  2  0  0  0  0  0  0  0  0  0  0   -   *B    R
  57   5     32    2  2  2  2  4  0  0  0  1  1  0  0  0  0  0   -   *B    R
  58   5     36    2  2  2  2  4  1  0  0  0  0  1  0  0  0  0   -   *B    R
  59   5     38    2  2  2  2  6  0  0  0  1  1  0  1  0  1  0   -    B     
  60   5     40    2  2  2  2  4  0  0  0  1  0  0  0  0  0  1   -   *B    R
  61   5     40    2  2  2  2  6  0  0  0  1  1  0  0  0  0  1   -   *B    R
  62   5     42    2  2  2  2  4  0  0  0  1  0  0  0  0  1  0   -   *B    R
  63   5     42    2  2  2  2  6  1  0  0  0  0  1  1  0  1  0   -    B     
  64   5     42    2  2  2  4  4  1  1  0  0  1  0  0  0  1  0   -    B     
  65   5     48    2  2  2  2  4  0  0  0  0  0  0  1  1  0  0   -   *B    R
  66   5     48    2  2  2  4  4  1  1  0  0  0  0  0  0  0  2   -   *B    R
  67   5     48    2  2  2  4  4  1  1  0  0  0  0  0  1  0  1   -    B     
  68   5     48    2  2  2  4  4  1  1  0  0  0  0  1  0  0  0   -   *B    R
  69   5     52    2  2  2  2  6  0  0  0  1  0  0  1  1  1  0   -    B     
  70   5     54    2  2  2  4  6  1  1  0  1  0  0  0  1  0  1   -    B     
  71   5     56    2  2  2  4  4  1  0  0  0  0  0  0  1  0  2   -   *B    R
  72   5     56    2  2  2  4  4  1  0  0  1  0  1  0  1  0  0   -    B     
  73   5     56    2  2  2  4  6  1  1  0  0  1  0  1  0  0  1   -    B     
  74   5     56    2  2  2  4  6  1  1  0  1  0  0  1  0  0  0   -    B     
  75   5     58    2  2  2  4  4  1  0  0  0  0  1  1  0  1  0   -    B     
  76   5     60    2  2  2  4  4  1  0  0  0  0  1  0  0  0  2   -   *B    R
  77   5     62    2  2  2  4  4  1  0  0  0  0  0  0  1  1  1   -    B     
  78   5     64    2  2  2  2  6  0  0  0  0  0  0  1  1  1  1   -    B     
  79   5     64    2  2  2  4  4  0  0  0  0  0  0  1  1  0  2   -   *B    R
  80   5     64    2  2  2  4  4  1  0  0  0  0  1  0  1  0  1   -    B     
  81   5     64    2  2  2  4  4  1  0  0  1  0  0  1  0  0  0   -   *B    R
  82   5     64    2  2  2  4  6  1  1  0  0  0  0  1  0  0  2   -    B     
  83   5     66    2  2  2  4  4  0  0  0  1  0  0  0  1  0  2   -   *B    R
  84   5     68    2  2  2  4  4  0  0  0  1  0  0  1  1  1  0   -    B     
  85   5     70    2  2  2  4  4  0  0  0  1  1  0  1  0  1  0   -    B     
  86   5     72    2  2  2  4  4  0  0  0  0  0  0  1  1  1  1   -    B     
  87   5     72    2  2  2  4  4  0  0  0  1  1  0  1 -1  0  0   -   *B    R
  88   5     72    2  2  4  4  4  1  0  0  0  0  2  0  1  0  2   -    B     
  89   5     74    2  2  2  4  6  1  0  0  1  0  1  1  0  1  0   -    B     
  90   5     76    2  2  2  4  4  0  0  0  1  0  0  0  1  1  1   -    B     
  91   5     78    2  2  4  4  4  1  0  0  0  0  1  1  0  2  2   -    B     
  92   5     80    2  2  2  4  6  1  0  0  1  0  0  0  1  1 -2   -    B     
  93   5     80    2  2  4  4  4  0  0  0  0  0  2  1  1  0  2   -    B     
  94   5     80    2  2  4  4  4  1  1  0  0  1  0  1  1  0  2   -    B     
  95   5     84    2  2  4  4  4  0  0  0  0  1  2  1  0  2  0   -    B     
  96   5     84    2  2  4  4  4  1  0  0  0  0  2  0  1  2  1   -    B     
  97   5     86    2  2  4  4  4  1  0  0  1  0  1  0  1  2  0   -    B     
  98   5     88    2  2  2  4  6  0  0  0  1  1  1  0  0  0  2   -    B     
  99   5     88    2  2  4  4  4  0  0  0  1  1  2  1  0  1  0   -    B     
 100   5     88    2  2  4  4  4  1  0  0  1  0  0  1  0  2  0   -    B     
 101   5     90    2  2  4  4  4  0  1  0  0  1  1  0  1  2  0   -    B     
 102   5     90    2  2  4  4  4  1  0  0  1  0  1  1  1  0  2   -    B     
 103   5     94    2  2  4  4  4  0  0  0  0  1  2  1  1  1  0   -    B     
 104   5     96    2  2  4  4  4  0  0  0  0  0  0  0  1  2  2   -   *B    R
 105   5     96    2  2  4  4  4  0  0  0  0  0  2  1  1  2  1   -    B     
 106   5     96    2  2  4  4  4  0  0  0  1  1  2  1  1  0  1   -    B     
 107   5     96    2  2  4  4  4  0  1  1  1  0  0  0  1  0  2   -    B     
 108   5     96    2  2  4  4  4  1  1  0  1  0  0  1  0  0  0   -    B     
 109   5    100    2  2  4  4  4  0  0  0  0  1  2  1  0  2  1   -    B     
 110   5    104    2  2  4  4  4  0  1  1  1  0  0  1  1  0  0   -    B     
 111   5    104    2  2  4  4  4  1  0  0  1  0  1  1  0  1  0   -    B     
 112   5    106    2  2  4  4  4  0  1  0  0  1  1  0  1 -2  0   -    B     
 113   5    110    2  2  4  4  4  0  0  0  0  1  2  1  1  1  1   -    B     
 114   5    112    2  2  4  4  4  0  0  0  0  0  0  1  1  2  1   -    B     
 115   5    112    2  4  4  4  4  0  0  0  0  2  0  1  0  2  2   -    B     
 116   5    120    2  2  4  4  4  0  1  1  0  0  1  1  1  1  1   -    B     
 117   5    124    2  4  4  4  4  0  0  0  1  0  1  1  2  2  0   -    B     
 118   5    126    2  4  4  4  4  0  0  1  1  2  2  0  2  2  1   -    B     
 119   5    128    2  2  4  4  6  0  0  0  1  1  2  0  0  0  2   -    B     
 120   5    128    2  4  4  4  4  0  0  0  0  0  0  0  2  2  2   -   *B    R
 121   5    128    4  4  4  4  4  0  0  0  2  0  0  2  2  2  0   -    B     
 122   5    132    2  4  4  4  4  0  0  2  0  1  2  1  0  2  0   -    B     
 123   5    136    2  4  4  4  4  0  0  0  1  0  1  0  2  2  2   -    B     
 124   5    136    2  4  4  4  4  0  0  0  1  2  2  0  1  1  0   -    B     
 125   5    144    2  4  4  4  4  0  0  0  0  2  0  1  1  2  2   -    B     
 126   5    150    2  4  4  4  4  1  0  1  1  0  1  1 -1  1  0   -    B     
 127   5    154    2  4  4  4  4  0  0  1  0  1  0  1  2  2 -1   -    B     
 128   5    160    2  4  4  4  4  0  0  0  0  0  0  1  2  1  2   -    B     
 129   5    160    4  4  4  4  4  1  1  0  0  0  0  0  2  2  2   -    B     
 130   5    162    4  4  4  4  4  1  1  1  1  1  1  2  2  2 -1   -    B     
 131   5    180    4  4  4  4  4  1  0  0  0  0  1  2  2  2  2   -    B     
 132   5    192    4  4  4  4  4  2  1  0  2  0  0  2  0  0  0   -    B     
 133   5    196    4  4  4  4  4  1  0  0  2  2  2  2  0  1  2   -    B     
 134   5.25 216    4  4  4  4  4  1  0  0  2  2  2  1  1  0  2   -    B