A triple shell means 3 zeros cluster in one π-interval. This is directly linked to Gram's law violations.
The bracket structure (one Floor, one Ceiling within a shared shell) is strongly dominant — 81.8% of pairs.
k=64 · S=202.6327 · 3 zeros
γ=201.2648 r=+1.3680 FLOOR
γ=202.4936 r=+0.1391 STRONG
γ=204.1897 r=-1.5569 CEILING
k=73 · S=230.9071 · 3 zeros
γ=229.3374 r=+1.5696 FLOOR
γ=231.2502 r=-0.3431 CEILING
γ=231.9872 r=-1.0802 CEILING
k=87 · S=274.8894 · 3 zeros
γ=273.4596 r=+1.4297 FLOOR
γ=275.5875 r=-0.6981 CEILING
γ=276.4520 r=-1.5627 CEILING
k=97 · S=306.3053 · 3 zeros
γ=304.8644 r=+1.4409 FLOOR
γ=305.7289 r=+0.5764 FLOOR
γ=307.2195 r=-0.9142 CEILING
k=99 · S=312.5885 · 3 zeros
γ=311.1651 r=+1.4233 FLOOR
γ=312.4278 r=+0.1607 STRONG
γ=313.9853 r=-1.3968 CEILING
k=102 · S=322.0132 · 3 zeros
γ=321.1601 r=+0.8531 FLOOR
γ=322.1446 r=-0.1313 STRONG
γ=323.4670 r=-1.4537 CEILING
k=108 · S=340.8628 · 3 zeros
γ=339.8582 r=+1.0046 FLOOR
γ=341.0423 r=-0.1795 STRONG
γ=342.0549 r=-1.1921 CEILING
k=113 · S=356.5708 · 3 zeros
γ=356.0176 r=+0.5532 FLOOR
γ=357.1513 r=-0.5805 CEILING
γ=357.9527 r=-1.3819 CEILING
k=117 · S=369.1371 · 3 zeros
γ=367.9936 r=+1.1436 FLOOR
γ=368.9684 r=+0.1687 STRONG
γ=370.0509 r=-0.9138 CEILING
k=119 · S=375.4203 · 3 zeros
γ=373.8649 r=+1.5554 FLOOR
γ=375.8259 r=-0.4056 CEILING
γ=376.3241 r=-0.9038 CEILING
k=122 · S=384.8451 · 3 zeros
γ=383.4435 r=+1.4016 FLOOR
γ=384.9561 r=-0.1110 STRONG
γ=385.8613 r=-1.0162 CEILING
k=128 · S=403.6947 · 3 zeros
γ=402.8619 r=+0.8327 FLOOR
γ=404.2364 r=-0.5418 CEILING
γ=405.1344 r=-1.4397 CEILING
k=133 · S=419.4026 · 3 zeros
γ=418.3877 r=+1.0149 FLOOR
γ=419.8614 r=-0.4587 CEILING
γ=420.6438 r=-1.2412 CEILING
k=140 · S=441.3938 · 3 zeros
γ=439.9184 r=+1.4753 FLOOR
γ=441.6832 r=-0.2894 CEILING
γ=442.9045 r=-1.5108 CEILING
k=142 · S=447.6770 · 3 zeros
γ=446.8606 r=+0.8163 FLOOR
γ=447.4417 r=+0.2352 FLOOR
γ=449.1485 r=-1.4716 CEILING
k=148 · S=466.5265 · 3 zeros
γ=465.6715 r=+0.8550 FLOOR
γ=466.5703 r=-0.0438 DEEP
γ=467.4390 r=-0.9125 CEILING
k=154 · S=485.3761 · 3 zeros
γ=483.8514 r=+1.5246 FLOOR
γ=485.5391 r=-0.1631 STRONG
γ=486.5287 r=-1.1527 CEILING
k=157 · S=494.8008 · 3 zeros
γ=493.3144 r=+1.4864 FLOOR
γ=493.9580 r=+0.8428 FLOOR
γ=495.3588 r=-0.5580 CEILING
k=159 · S=501.0840 · 3 zeros
γ=500.3091 r=+0.7749 FLOOR
γ=501.6044 r=-0.5204 CEILING
γ=502.2763 r=-1.1922 CEILING
k=164 · S=516.7920 · 3 zeros
γ=515.4351 r=+1.3569 FLOOR
γ=517.5897 r=-0.7977 CEILING
γ=518.2342 r=-1.4422 CEILING
k=166 · S=523.0752 · 3 zeros
γ=521.5252 r=+1.5500 FLOOR
γ=522.4567 r=+0.6185 FLOOR
γ=523.9605 r=-0.8854 CEILING
k=168 · S=529.3584 · 4 zeros
γ=527.9036 r=+1.4547 FLOOR
γ=528.4062 r=+0.9521 FLOOR
γ=529.8062 r=-0.4479 CEILING
γ=530.8669 r=-1.5086 CEILING
k=174 · S=548.2079 · 3 zeros
γ=547.0109 r=+1.1970 FLOOR
γ=547.9316 r=+0.2763 FLOOR
γ=549.4976 r=-1.2896 CEILING
k=179 · S=563.9159 · 3 zeros
γ=562.5592 r=+1.3567 FLOOR
γ=564.1609 r=-0.2450 CEILING
γ=564.5061 r=-0.5902 CEILING
Tightest Bracket Pairs (sum r₁+r₂ closest to 0)
n pair
k
γ values
r₁
r₂
sum r₁+r₂
sign
326,327
k=184
579.0988, 580.1370
+0.5250
-0.5131
Σ=+0.0119
⇄ opposite
240,241
k=145
456.3284, 457.9039
+0.7733
-0.8022
Σ=-0.0289
⇄ opposite
104,105
k=77
242.8233, 244.0709
+0.6502
-0.5975
Σ=+0.0527
⇄ opposite
102,103
k=76
239.5555, 241.0492
+0.7764
-0.7173
Σ=+0.0590
⇄ opposite
488,489
k=253
795.6066, 797.2635
+0.7871
-0.8697
Σ=-0.0826
⇄ opposite
43,44
k=41
129.5787, 131.0877
+0.7974
-0.7116
Σ=+0.0858
⇄ opposite
100,101
k=75
236.5242, 237.7698
+0.6660
-0.5796
Σ=+0.0864
⇄ opposite
194,195
k=123
387.2229, 388.8461
+0.7638
-0.8594
Σ=-0.0956
⇄ opposite
236,237
k=143
450.1269, 451.4033
+0.6916
-0.5848
Σ=+0.1068
⇄ opposite
155,156
k=104
327.4439, 329.0331
+0.8525
-0.7366
Σ=+0.1159
⇄ opposite
Deserted Shells (Gram Law Failures) · k = 5, 8, 12, 14, 23