{
 "_provenance": {
  "file": "row33_data.json (vendored subset for the eps^0 leg of row 33, LBL3VP; read by vendor_row33/eval_row33.py beside it)",
  "sigvp_de": "exact-rational differential system in w (d exact) of the 4-master vacuum-polarisation self-energy family, reconstructed from 36 exact-rational IBP samples with 0 mismatches; entries A[i][j] are strings in w and d; the same system is served on the page in lbl3vp-data.json",
  "box1eq_de": "exact-rational differential system in w' (d exact) of the 8-master one-loop box family with one massive rung of mass^2 w' (the kernel of the dispersive representation), 46 samples, 0 mismatches; the same system is served on the page in lbl3vp-data.json",
  "oracles": {
   "laurent": "recorded Laurent coefficients of I_VP at (s,t,m2)=(-1,-1/3,1), 50 digits each: a repeated-Neville peel (eps^-2, eps^-1, eps^0) of a 15-point fixed-eps grid of independent 3-loop AMFlow evaluations (eps = 2^-k, k = 4..18), recorded 2026-06-28. They are extrapolated values, not evaluations at eps = 0, and are honest to about 45.8 (eps^-2), 39.6 (eps^-1) and 35 (eps^0) digits. ROLES IN THIS LEG: eps-2 and eps-1 are the engine's smoke comparisons of its exact pole layers (comparison only, never inputs); eps0 is printed by the evaluator as a second comparison for c_0 (comparison only). The engine's own ORACLE GATE compares c_0 with a different, 40-digit reference held as a constant in row33_eps0.py (I0_ORACLE): the eps^0 layer recorded 2026-07-05 by a different route -- pole-subtracted Neville extrapolation of the fixed-eps dispersive values over the grid eps = 2^-20..2^-25 at dps 150 -- whose two depth-varied runs agreed to 39.16 digits.",
   "kept_out_wording": "The served leg computes c_0 as one finite subtracted integral with no fit, so 'kept out of the fit' describes nothing in it; its reference values are 'independent reference values, comparisons only, never inputs': the engine's 40-digit I0 (ORACLE GATE; the pole-subtracted Neville extrapolation of fixed-eps values over the grid 2^-20..2^-25 at dps 150, two depth-varied runs agreeing to 39.16 digits), and the record's 50-digit strings (themselves a Neville extrapolation of the AMFlow fixed-eps grid; smoke comparisons for the pole layers, a printed comparison for c_0). 'Kept out of the fit' was the retired grid path's language (its Neville extraction did not use the eps^0 string) and does not ship here."
  },
  "dropped_from_the_research_copy": "sigvp_bnd_w5, box1eq_bnd_w5, Kn (numeric boundary values and threshold coefficients of an older transport route; this leg computes every constant it needs from the exact systems) and oracles.I_AMF_grid (the fixed-eps comparison grid, served in lbl3vp-oracle-amflow.json); nothing this leg reads was changed -- every kept leaf is identical to the research copy"
 },
 "sigvp_de": {
  "masters": [
   [
    1,
    2,
    1,
    1,
    0
   ],
   [
    1,
    1,
    1,
    1,
    0
   ],
   [
    1,
    0,
    1,
    0,
    0
   ],
   [
    1,
    1,
    1,
    0,
    0
   ]
  ],
  "var": "w",
  "dim_var": "d",
  "A": [
   [
    "(d*w**3 - 5*d*w**2 - 33*d*w - 27*d - 4*w**3 + 34*w**2 + 264*w + 90)/(2*w**4 - 14*w**3 - 42*w**2 + 54*w)",
    "(3*d*w + 9*d - 10*w - 30)/(2*w**3 - 20*w**2 + 18*w)",
    "(-8*d**3*w**2 - 96*d**3*w - 24*d**3 - d**2*w**4 + 2*d**2*w**3 + 56*d**2*w**2 + 894*d**2*w + 201*d**2 + 4*d*w**4 - 8*d*w**3 - 128*d*w**2 - 2424*d*w - 516*d - 4*w**4 + 8*w**3 + 96*w**2 + 2040*w + 420)/(8*d*w**6 - 72*d*w**5 - 48*d*w**4 + 496*d*w**3 - 600*d*w**2 + 216*d*w - 40*w**6 + 360*w**5 + 240*w**4 - 2480*w**3 + 3000*w**2 - 1080*w)",
    "(2*d**2*w**3 + 26*d**2*w**2 + 30*d**2*w + 6*d**2 - 13*d*w**3 - 121*d*w**2 - 159*d*w - 27*d + 18*w**3 + 138*w**2 + 198*w + 30)/(2*w**6 - 18*w**5 - 12*w**4 + 124*w**3 - 150*w**2 + 54*w)"
   ],
   [
    "(6*w - 6)/(w**2 - 9*w)",
    "(d*w - 4*w + 6)/(w**2 - 9*w)",
    "(-2*d**3 - d**2*w + 19*d**2 + 4*d*w - 52*d - 4*w + 44)/(2*d*w**3 - 20*d*w**2 + 18*d*w - 10*w**3 + 100*w**2 - 90*w)",
    "(2*d**2*w + 2*d**2 - 11*d*w - 9*d + 14*w + 10)/(2*w**3 - 20*w**2 + 18*w)"
   ],
   [
    "0",
    "0",
    "0",
    "0"
   ],
   [
    "0",
    "0",
    "(2 - d)/(2*w**2 - 2*w)",
    "(d*w + d - 4*w - 2)/(2*w**2 - 2*w)"
   ]
  ],
  "n_samples": 36,
  "mismatches": 0
 },
 "box1eq_de": {
  "masters": [
   [
    1,
    1,
    1,
    1
   ],
   [
    1,
    0,
    0,
    0
   ],
   [
    0,
    1,
    0,
    0
   ],
   [
    1,
    0,
    1,
    0
   ],
   [
    0,
    1,
    0,
    1
   ],
   [
    1,
    1,
    1,
    0
   ],
   [
    1,
    1,
    0,
    1
   ],
   [
    0,
    1,
    1,
    1
   ]
  ],
  "var": "wp",
  "dim_var": "d",
  "A": [
   [
    "(d*w - 5*w)/(w**2 + 1)",
    "(-12*d*w**3 - 9*d*w**2 - 9*d*w - 6*d + 24*w**3 + 18*w**2 + 18*w + 12)/(6*w**7 - 4*w**6 + 36*w**5 - 20*w**4 + 54*w**3 - 16*w**2 + 24*w)",
    "(9*d*w**3 + 33*d*w**2 + 12*d*w + 24*d - 18*w**3 - 66*w**2 - 24*w - 48)/(12*w**6 - 8*w**5 + 72*w**4 - 40*w**3 + 108*w**2 - 32*w + 48)",
    "(3*d*w - 9*w)/(w**4 + 5*w**2 + 4)",
    "(-3*d*w - 3*d + 9*w + 9)/(6*w**4 - 4*w**3 + 12*w**2 - 4*w + 6)",
    "(12 - 3*d)/(2*w**2 + 2)",
    "(-2*d*w + 2*d + 8*w - 8)/(3*w**4 - 2*w**3 + 6*w**2 - 2*w + 3)",
    "(d - 4)/(w**2 + 1)"
   ],
   [
    "0",
    "(d - 2)/(2*w)",
    "0",
    "0",
    "0",
    "0",
    "0",
    "0"
   ],
   [
    "0",
    "0",
    "0",
    "0",
    "0",
    "0",
    "0",
    "0"
   ],
   [
    "0",
    "(-d*w - 2*d + 2*w + 4)/(2*w**3 + 8*w)",
    "(d - 2)/(w**2 + 4)",
    "(d*w - 3*w)/(w**2 + 4)",
    "0",
    "0",
    "0",
    "0"
   ],
   [
    "0",
    "0",
    "0",
    "0",
    "0",
    "0",
    "0",
    "0"
   ],
   [
    "0",
    "(-3*d*w - 2*d + 6*w + 4)/(2*w**4 - 2*w**3 + 8*w**2 - 8*w)",
    "(d*w + 4*d - 2*w - 8)/(2*w**3 - 2*w**2 + 8*w - 8)",
    "(2*d - 6)/(w**2 + 4)",
    "0",
    "0",
    "0",
    "0"
   ],
   [
    "0",
    "(-3*d*w - 3*d + 6*w + 6)/(6*w**4 - 10*w**3 + 10*w**2 - 6*w)",
    "(3*d - 6)/(3*w**3 - 5*w**2 + 5*w - 3)",
    "0",
    "(3*d - 9)/(3*w**2 - 2*w + 3)",
    "0",
    "(3*d*w - d - 12*w + 4)/(3*w**2 - 2*w + 3)",
    "0"
   ],
   [
    "0",
    "0",
    "0",
    "0",
    "0",
    "0",
    "0",
    "0"
   ]
  ],
  "n_samples": 46,
  "mismatches": 0,
  "failed": []
 },
 "oracles": {
  "laurent": {
   "eps-2": "-0.04540615882992855279735740284343326576838775072854",
   "eps-1": "-0.015344805204034554765367323869431306371266440074046",
   "eps0": "-0.14660534262006952818035051471766129625587316054466"
  }
 }
}