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show/hide this revision's text 2 Improved formatting

I've solved the problem, which has to do with the generating function for 'k'.$k$.

For example:

  • $k = -108*t^2 + 36*t - 67 67$ always has even parity
  • $k = -108*t^2 + 36*t - 7 7$ always has odd parity
  • $k = -108*t^2 + 36*t - 84 84$ is 50/50 $50/50$ odd and even

These, and other similar functions, generate nice groupings in residue classes modulo 504 and explain the population distribution of odd and even ranks in those residue classes.
show/hide this revision's text 1

I've solved the problem, which has to do with the generating function for 'k'.

For example:

  • k = -108*t^2 + 36*t - 67 always has even parity
  • k = -108*t^2 + 36*t - 7 always has odd parity
  • k = -108*t^2 + 36*t - 84 is 50/50 odd and even

These, and other similar functions, generate nice groupings in residue classes modulo 504 and explain the population distribution of odd and even ranks in those residue classes.