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   1  2  3  4  5  6  7 <- shift by 0
   8  9 10 11 12 13 14 <- shift by 1
...
  29 30 31 32 33 34 35 <- shift by 4
  36 37 38 39 40 41 42 <- shift by 5
  43 44 45 46 47 48 49 <- shift by 6

# The multiplication and addition tables are derived from
# a Galois field order(2^3), from (0, 1, a, a^2, ... a^6)
...
           [7,  3,  6,  1,  5,  4,  2,  0]
           );
}