{
 "_provenance": "The p^2 = 0 (normal-threshold) vacuum seed of the threshold kite at squared masses (1,4,9,3,0): the eps^-2, eps^-1, eps^0 coefficients of all 22 masters (55 printed digits, computed at 60), each a product/difference of the one-loop tadpole T1(m^2) and the one-massless-line two-loop vacuum sunset T(a,b,0) with the partial-fraction weights 1/(m2^2 - m1^2) = 1/3 and 1/(M^2 - m3^2) = 1/6 and the numerator shifts 3 and 6 (the (1,4,9,2,0) seed has 1/7 and 7) -- emitted by kite-threshold-seed-general.py (masses 1,4,9,3; n = 8 eps orders).  GATE ONLY: kite-threshold-evaluate.py --masses 1,4,9,3,0 computes its seed live from the same classical formulas and checks it against these strings before any transport; the strings never enter the value path.  The top master's eps^-2 and eps^-1 entries are analytically zero (the kite is finite); their printed values are the working-precision residue of the cancellation.",
 "masses_sq": [
  1,
  4,
  9,
  3,
  0
 ],
 "dps": 60,
 "n_eps_orders": 8,
 "weights": {
  "1/(m2sq-m1sq)": "1/3",
  "1/(Msq-m3sq)": "1/6 (record: 1/7)",
  "D1-D2 shift": 3,
  "D4-D3 shift": "6 (record: 7)"
 },
 "sunset_pairs": [
  "(1,9)",
  "(4,9)",
  "(1,3)",
  "(4,3)"
 ],
 "masters": [
  [
   1,
   0,
   1,
   0,
   0
  ],
  [
   0,
   1,
   1,
   0,
   0
  ],
  [
   1,
   1,
   1,
   0,
   0
  ],
  [
   1,
   0,
   0,
   1,
   0
  ],
  [
   1,
   0,
   1,
   1,
   0
  ],
  [
   0,
   1,
   0,
   1,
   0
  ],
  [
   1,
   1,
   0,
   1,
   0
  ],
  [
   0,
   1,
   1,
   1,
   0
  ],
  [
   1,
   1,
   1,
   1,
   0
  ],
  [
   1,
   0,
   1,
   0,
   1
  ],
  [
   0,
   1,
   1,
   0,
   1
  ],
  [
   -1,
   1,
   1,
   0,
   1
  ],
  [
   0,
   1,
   1,
   -1,
   1
  ],
  [
   1,
   1,
   1,
   0,
   1
  ],
  [
   1,
   0,
   0,
   1,
   1
  ],
  [
   1,
   0,
   -1,
   1,
   1
  ],
  [
   1,
   -1,
   0,
   1,
   1
  ],
  [
   1,
   0,
   1,
   1,
   1
  ],
  [
   0,
   1,
   0,
   1,
   1
  ],
  [
   1,
   1,
   0,
   1,
   1
  ],
  [
   0,
   1,
   1,
   1,
   1
  ],
  [
   1,
   1,
   1,
   1,
   1
  ]
 ],
 "table": {
  "(1, 0, 1, 0, 0)": {
   "eps^-2": "9.0",
   "eps^-1": "-12.16490316425356593603163188608870644241369808772811491",
   "eps^0": "32.02578821250439465109017740838329241439161668647819911"
  },
  "(0, 1, 1, 0, 0)": {
   "eps^-2": "36.0",
   "eps^-1": "-98.56620965733032602216724028934353867109080202485083794",
   "eps^0": "230.1523164928250131791362124858400454678414776113209177"
  },
  "(1, 1, 1, 0, 0)": {
   "eps^-2": "9.0",
   "eps^-1": "-28.80043549769225336204520280108494407622570131237424101",
   "eps^0": "66.04217609344020617601534502581891768448328697494757287"
  },
  "(1, 0, 0, 1, 0)": {
   "eps^-2": "3.0",
   "eps^-1": "-0.759130855413526237824808251261991700195427689107789948",
   "eps^0": "8.030848809818157989107372834163522409524628018055412168"
  },
  "(1, 0, 1, 1, 0)": {
   "eps^-2": "1.0",
   "eps^-1": "-1.900962051473339949701137272471119123703045066436720827",
   "eps^0": "3.999156567114372776997134095703295000811164778070464491"
  },
  "(0, 1, 0, 1, 0)": {
   "eps^-2": "12.0",
   "eps^-1": "-19.67205575509279237731280392004420443459371398107728589",
   "eps^0": "47.86378287015702780705571375001362165277494340023431336"
  },
  "(1, 1, 0, 1, 0)": {
   "eps^-2": "3.0",
   "eps^-1": "-6.304308299893088713162665222927404244799428763989831981",
   "eps^0": "13.2776446867796232726494469719500330810834384607263004"
  },
  "(0, 1, 1, 1, 0)": {
   "eps^-2": "4.0",
   "eps^-1": "-13.14902565037292227414240606154988903941618134062892534",
   "eps^0": "30.38142227044466422868008312263773730251108903518110073"
  },
  "(1, 1, 1, 1, 0)": {
   "eps^-2": "1.0",
   "eps^-1": "-3.749354532966527441480422929692923305237712091397401505",
   "eps^0": "8.794088567776763817227649675644814100566641419036878745"
  },
  "(1, 0, 1, 0, 1)": {
   "eps^-2": "5.0",
   "eps^-1": "-10.54717784504130305117953516542948699407642340020872612",
   "eps^0": "43.9543093540922131792594990742335862095817172169547173"
  },
  "(0, 1, 1, 0, 1)": {
   "eps^-2": "6.5",
   "eps^-1": "-13.32400228422546410833692840734210683180690248291053895",
   "eps^0": "44.41022882694172247531224186932981685894361687837987612"
  },
  "(-1, 1, 1, 0, 1)": {
   "eps^-2": "19.5",
   "eps^-1": "-39.97200685267639232501078522202632049542070744873161685",
   "eps^0": "133.2306864808251674259367256079894505768308506351396283"
  },
  "(0, 1, 1, -1, 1)": {
   "eps^-2": "39.0",
   "eps^-1": "-79.94401370535278465002157044405264099084141489746323369",
   "eps^0": "266.4613729616503348518734512159789011536617012702792567"
  },
  "(1, 1, 1, 0, 1)": {
   "eps^-2": "0.5",
   "eps^-1": "-0.9256081463947203523857977473042066125768263609006042765",
   "eps^0": "0.1519731576165030986842475983654102164539665538083862722"
  },
  "(1, 0, 0, 1, 1)": {
   "eps^-2": "2.0",
   "eps^-1": "0.3953004743895394833882159289028131618888909827720572496",
   "eps^0": "10.29721476311752702253827373182659836154428503419085009"
  },
  "(1, 0, -1, 1, 1)": {
   "eps^-2": "-12.0",
   "eps^-1": "-2.371802846337236900329295573416878971333345896632343497",
   "eps^0": "-61.78328857870516213522964239095959016926571020514510056"
  },
  "(1, -1, 0, 1, 1)": {
   "eps^-2": "-6.0",
   "eps^-1": "-1.185901423168618450164647786708439485666672948316171749",
   "eps^0": "-30.89164428935258106761482119547979508463285510257255028"
  },
  "(1, 0, 1, 1, 1)": {
   "eps^-2": "0.5",
   "eps^-1": "-1.823746386571807089094625182388716692660885730496797228",
   "eps^0": "5.609515765162447692786870890401164641339572030460644534"
  },
  "(0, 1, 0, 1, 1)": {
   "eps^-2": "3.5",
   "eps^-1": "-2.38152396479462157376917731300980667584158809992975558",
   "eps^0": "15.60289299549528535361697264592181211242278350316794659"
  },
  "(1, 1, 0, 1, 1)": {
   "eps^-2": "0.5",
   "eps^-1": "-0.9256081463947203523857977473042066125768263609006042765",
   "eps^0": "1.768559410792586110359566304698404583626166156325698833"
  },
  "(0, 1, 1, 1, 1)": {
   "eps^-2": "0.5",
   "eps^-1": "-1.823746386571807089094625182388716692660885730496797228",
   "eps^0": "4.801222638574406186949211537234667457753472229201988254"
  },
  "(1, 1, 1, 1, 1)": {
   "eps^-2": "-1.728615354961428251984462237161145622386181157978101981e-62",
   "eps^-1": "-1.382892283969142601587569789728916497908944926382481585e-61",
   "eps^0": "-0.2694310421960138352792197843888323945286999337528854268"
  }
 }
}