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 "representation": "entry A^var[i][j](d,s,t) = sum(direct prefactors) + sum pre(s,t) * c_{T,Mj}(d,s,t); c closed forms live in the banks, d on the 34-node lattice r2v_core.D_ALL: exact-*prime -> exact Fraction numerator coeffs (atscale/exact/, ship/exact_px/) over the denominator rung (families_biv + PILOT_REPORT4 factors_exact + T2^eT2, HANDOFF.md conventions); certified-2prime -> numerator residues mod the 2 fit primes (atscale/fits/)",
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      "class": "exact-6prime"
     }
    ]
   },
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    "class": "exact-6prime",
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     {
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     {
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   "40,32": {
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   "40,33": {
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   "40,34": {
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      "class": "exact-6prime"
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   "40,37": {
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    "terms": [
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       1,
       0,
       0,
       0,
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      "class": "exact-6prime"
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     {
      "pre": "2/t",
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       1,
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       1,
       1,
       1,
       -1,
       0,
       0,
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      "class": "exact-6prime"
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     {
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      "target": [
       1,
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       1,
       1,
       0,
       0,
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       0,
       0,
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      "class": "exact-6prime"
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   },
   "40,38": {
    "class": "exact-6prime",
    "terms": [
     {
      "pre": "2/t",
      "target": [
       1,
       1,
       2,
       1,
       1,
       1,
       0,
       0,
       0,
       0,
       0,
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      "class": "exact-6prime"
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     {
      "pre": "2/t",
      "target": [
       1,
       1,
       2,
       1,
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      "class": "exact-6prime"
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     {
      "pre": "-2/t",
      "target": [
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       0,
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      "class": "exact-6prime"
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    ]
   },
   "40,39": {
    "class": "exact-10prime",
    "terms": [
     {
      "pre": "2/t",
      "target": [
       1,
       1,
       2,
       1,
       1,
       1,
       0,
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      "class": "exact-10prime"
     },
     {
      "pre": "2/t",
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       2,
       1,
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       1,
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      "class": "exact-6prime"
     },
     {
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       1,
       1,
       1,
       0,
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       0,
       0,
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       0,
       0,
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      "class": "exact-10prime"
     }
    ]
   },
   "40,40": {
    "class": "exact-6prime",
    "terms": [
     {
      "pre": "2/t",
      "target": [
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       1,
       2,
       1,
       1,
       1,
       0,
       0,
       0,
       0,
       0,
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     {
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    ]
   }
  }
 },
 "row_fully_2var_closed": {
  "s": [
   true,
   true,
   true,
   true,
   true,
   true,
   true,
   true,
   true,
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   true,
   true,
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  ],
  "t": [
   true,
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   true,
   true,
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   true,
   true,
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   false,
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   true,
   true
  ]
 },
 "coverage_entry_classes": {
  "exact-6prime": 1678,
  "direct-exact": 4,
  "exact-10prime": 261,
  "exact-extraprime": 46,
  "UNCLOSED-RANK-FAIL-genuine": 13,
  "certified-2prime": 16,
  "UNCLOSED-TEEA-FAIL-genuine": 1,
  "UNCLOSED-TEEA-FAIL-post-fix-data-limited": 15,
  "UNCLOSED-RANK-FAIL-post-fix-data-limited": 11
 },
 "row15_split_defect": "<archive>/lbl3x_de_v3_s3_numkin/ROW15_SPLIT_DEFECT_2026-07-04.md (row 15 0-based, cols 3 & 13: parts individually defective, combination exact)",
 "pt_8801": "fold-gate point: NEVER used in any fit",
 "assembled_at": "2026-07-05T13:30:57Z",
 "succession": {
  "stamp_utc": "2026-09-07T18:21:29Z",
  "what": "71 two-prime columns closed exactly in the record convention (source object sha256 33b6847b68306a60cf11f426d8d4e2d5344c03a0e88f880f45b19752b6d8f7c9; the grid receipt 575e94ec77ee669024a2f227fc097aa000e576e4e26d75a4b26a3ca97ce60585) entered the exact bank; every term that referenced one of them is re-tagged exact-extraprime; entry classes recomputed by the rule (worst term class; direct-exact < exact-6prime < exact-10prime < exact-extraprime < certified-2prime; an UNCLOSED term tag propagates); coverage_entry_classes re-tallied",
  "column_tag": "exact-extraprime",
  "terms_retagged": 82,
  "columns_promoted": 71,
  "columns_retained_two_prime": 26,
  "entries_moved_certified_2prime_to_exact_extraprime": 46,
  "entries_stayed_certified_2prime": 16,
  "entries_untouched": 1983,
  "entry_classes_before": {
   "exact-6prime": 1678,
   "direct-exact": 4,
   "exact-10prime": 261,
   "certified-2prime": 62,
   "UNCLOSED-RANK-FAIL-genuine": 13,
   "UNCLOSED-TEEA-FAIL-genuine": 1,
   "UNCLOSED-TEEA-FAIL-post-fix-data-limited": 15,
   "UNCLOSED-RANK-FAIL-post-fix-data-limited": 11
  },
  "entry_classes_after": {
   "exact-6prime": 1678,
   "direct-exact": 4,
   "exact-10prime": 261,
   "exact-extraprime": 46,
   "UNCLOSED-RANK-FAIL-genuine": 13,
   "certified-2prime": 16,
   "UNCLOSED-TEEA-FAIL-genuine": 1,
   "UNCLOSED-TEEA-FAIL-post-fix-data-limited": 15,
   "UNCLOSED-RANK-FAIL-post-fix-data-limited": 11
  },
  "exact_entries_before_after": [
   1943,
   1989
  ],
  "certified_2prime_entries_before_after": [
   62,
   16
  ],
  "unclosed_entries": 40,
  "retained_note": "the 26 retained two-prime columns are the (target, M41[18]) and (target, M41[39]) columns of 13 targets whose record pair (c41[18], c41[39]) is not separable from 39-master data; their entries stay certified-2prime",
  "what_the_tag_certifies": "an exact-extraprime column is an exact rational numerator column reconstructed by Chinese remaindering over 5 to 9 primes on the 676-point record grid (624 fit points), verified at 2 fresh primes on every fit point, exactly at the 52 withheld points, and against the record's two-prime residues at every one of the 34 nodes; evaluated by the same exact path as exact-6prime / exact-10prime"
 }
}