fraction of 1973-2025 spent within 45 degrees of syzygy
  sky separation (elong, what the seal used)  0.492970
  ecliptic longitude difference (phase angle) 0.494296
  exactly half the circle would be            0.500000

where the two differ: time per 5-degree bin of syzygy distance
  bin      elong     phase angle   ratio
   0- 5  0.03479   0.05452     0.638
   5-10  0.06730   0.05468     1.231
  10-15  0.05714   0.05455     1.047
  15-20  0.05594   0.05478     1.021
  20-25  0.05558   0.05481     1.014
  25-30  0.05548   0.05502     1.008
  30-35  0.05551   0.05512     1.007
  35-40  0.05560   0.05535     1.004
  40-45  0.05563   0.05546     1.003
  45-50  0.05588   0.05553     1.006
  50-55  0.05594   0.05583     1.002
  55-60  0.05612   0.05603     1.002
  60-65  0.05635   0.05620     1.003
  65-70  0.05635   0.05619     1.003
  70-75  0.05653   0.05639     1.002
  75-80  0.05652   0.05644     1.001
  80-85  0.05670   0.05659     1.002
  85-90  0.05664   0.05651     1.002

mean advance of the phase angle, by distance from syzygy
  the mean over the whole window is 0.50794 deg/hour (a synodic month of 29.531 days)
   0-10 deg from syzygy   0.51697 deg/h   +1.777 % of mean
  10-20 deg from syzygy   0.51589 deg/h   +1.564 % of mean
  20-30 deg from syzygy   0.51386 deg/h   +1.166 % of mean
  30-40 deg from syzygy   0.51115 deg/h   +0.631 % of mean
  40-50 deg from syzygy   0.50804 deg/h   +0.020 % of mean
  50-60 deg from syzygy   0.50491 deg/h   -0.597 % of mean
  60-70 deg from syzygy   0.50220 deg/h   -1.130 % of mean
  70-80 deg from syzygy   0.50014 deg/h   -1.536 % of mean
  80-90 deg from syzygy   0.49905 deg/h   -1.750 % of mean
  syzygy half 0.51383 deg/h against quadrature half 0.50219: +2.318 % faster
  time in the syzygy half predicted from those two rates: 0.494272

the primary statistic on the phase angle instead of the sky separation
  (post-hoc; the sealed verdict stands on the sealed variable)
  n = 5368   inside = 2657 (49.50 %)   expected 49.43 %
  E = +0.14 %   95 % [-2.61, +2.85]   -> KILLED