THE SECOND SEED — walking Van Eck to N=50,000,000
ck N        zeros      g2  g3  max_gap  window_max_d  frontier M(n)  margin
   1,000,000 136,528   3   47  21       21,251        8,756          -12,495
   2,000,000 265,606   3   48  21       33,635        13,923         -19,712
   5,000,000 641,239   3   49  22       79,083        31,960         -47,123
   10,000,000 1,250,522 3   49  22       62,971        53,791         -9,180
   20,000,000 2,441,344 3   49  23       125,707       77,443         -48,264
   50,000,000 5,918,734 3   49  27       60,466        246,337        +185,871

DONE in 113s.  zeros=5,918,734  g2=3  g3=49  max_gap=27
g3 seed distances (all distinct, PROVED+asserted): [3, 7, 8, 11, 23, 24, 26, 32, 37, 41, 43, 45, 49, 53, 56, 59, 63, 68, 73, 78, 85, 88, 89, 98, 104, 105, 107, 111, 120, 122, 125, 129, 142, 150, 161, 164, 173, 188, 219, 263, 323, 418, 423, 777, 1673, 2132, 21251, 30328, 79083]

THE 49 EVENTS — (zero position, old face g_k, new distance d_k):
  z=17       g_k=5   d=3
  z=41       g_k=6   d=11
  z=44       g_k=3   d=8
  z=56       g_k=4   d=32
  z=63       g_k=4   d=7
  z=81       g_k=9   d=56
  z=89       g_k=5   d=37
  z=98       g_k=6   d=23
  z=196      g_k=9   d=43
  z=199      g_k=3   d=98
  z=212      g_k=4   d=24
  z=225      g_k=10  d=45
  z=251      g_k=5   d=78
  z=254      g_k=3   d=26
  z=276      g_k=7   d=111
  z=364      g_k=7   d=88
  z=398      g_k=10  d=63
  z=417      g_k=6   d=73
  z=487      g_k=8   d=59
  z=545      g_k=6   d=41
  z=578      g_k=10  d=107
  z=667      g_k=5   d=49
  z=670      g_k=3   d=89
  z=735      g_k=5   d=68
  z=799      g_k=7   d=142
  z=810      g_k=8   d=129
  z=838      g_k=10  d=122
  z=1,098    g_k=8   d=125
  z=1,160    g_k=10  d=85
  z=1,483    g_k=6   d=53
  z=1,486    g_k=3   d=323
  z=1,538    g_k=7   d=164
  z=1,730    g_k=11  d=105
  z=2,016    g_k=9   d=104
  z=2,383    g_k=9   d=120
  z=2,881    g_k=8   d=173
  z=3,658    g_k=8   d=219
  z=3,661    g_k=3   d=777
  z=4,367    g_k=9   d=150
  z=5,634    g_k=10  d=188
  z=5,809    g_k=9   d=263
  z=7,616    g_k=4   d=161
  z=7,718    g_k=14  d=423
  z=10,995   g_k=10  d=418
  z=122,143  g_k=4   d=2132
  z=199,858  g_k=12  d=1673
  z=897,708  g_k=4   d=21251
  z=1,360,095 g_k=4   d=30328
  z=2,667,811 g_k=4   d=79083

last g=3 event at z=2,667,811 — frozen for the remaining 47,332,189 terms (94.7% of the walk)

GATE READING: a future g=3 needs a gap-value's ABSENCE (d) to be a novel value;
the per-window max absence vs the coverage frontier M(n) above is the margin.
All asserts passed: self-recording, both biconditionals both directions, seed injectivity.